From e612aec5d9f25a7334d9e2981f1aabf12b889b64 Mon Sep 17 00:00:00 2001 From: Matt Johnston Date: Fri, 2 Mar 2018 00:02:06 +0800 Subject: Attempt to fix m_free for libtomcrypt/libtommath --- libtomcrypt/src/headers/tomcrypt_custom.h | 7 +------ 1 file changed, 1 insertion(+), 6 deletions(-) (limited to 'libtomcrypt/src') diff --git a/libtomcrypt/src/headers/tomcrypt_custom.h b/libtomcrypt/src/headers/tomcrypt_custom.h index 6fb0f27..f2351da 100644 --- a/libtomcrypt/src/headers/tomcrypt_custom.h +++ b/libtomcrypt/src/headers/tomcrypt_custom.h @@ -12,12 +12,7 @@ #include "tomcrypt_dropbear.h" -void * m_malloc(size_t size); -/* m_calloc is limited in size, enough for libtomcrypt */ -void * m_calloc(size_t nmemb, size_t size); -void * m_realloc(void* ptr, size_t size); -void m_free_direct(void* ptr); - +#include "dbmalloc.h" #define XMALLOC m_malloc #define XFREE m_free_direct #define XREALLOC m_realloc -- cgit v1.2.3 From d3d0d60076dd598f1e7aafbe564ff714cc3c19a9 Mon Sep 17 00:00:00 2001 From: Vladislav Grishenko Date: Mon, 25 May 2020 20:50:25 +0500 Subject: Add Chacha20-Poly1305, AES128-GCM and AES256-GCM support (#93) * Add Chacha20-Poly1305 authenticated encryption * Add general AEAD approach. * Add chacha20-poly1305@openssh.com algo using LibTomCrypt chacha and poly1305 routines. Chacha20-Poly1305 is generally faster than AES256 on CPU w/o dedicated AES instructions, having the same key size. Compiling in will add ~5,5kB to binary size on x86-64. function old new delta chacha_crypt - 1397 +1397 _poly1305_block - 608 +608 poly1305_done - 595 +595 dropbear_chachapoly_crypt - 457 +457 .rodata 26976 27392 +416 poly1305_process - 290 +290 poly1305_init - 221 +221 chacha_setup - 218 +218 encrypt_packet 1068 1270 +202 dropbear_chachapoly_getlength - 147 +147 decrypt_packet 756 897 +141 chacha_ivctr64 - 137 +137 read_packet 543 637 +94 dropbear_chachapoly_start - 94 +94 read_kex_algos 792 880 +88 chacha_keystream - 69 +69 dropbear_mode_chachapoly - 48 +48 sshciphers 280 320 +40 dropbear_mode_none 24 48 +24 dropbear_mode_ctr 24 48 +24 dropbear_mode_cbc 24 48 +24 dropbear_chachapoly_mac - 24 +24 dropbear_chachapoly - 24 +24 gen_new_keys 848 854 +6 ------------------------------------------------------------------------------ (add/remove: 14/0 grow/shrink: 10/0 up/down: 5388/0) Total: 5388 bytes * Add AES128-GCM and AES256-GCM authenticated encryption * Add general AES-GCM mode. * Add aes128-gcm@openssh.com and aes256-gcm@openssh.com algo using LibTomCrypt gcm routines. AES-GCM is combination of AES CTR mode and GHASH, slower than AES-CTR on CPU w/o dedicated AES/GHASH instructions therefore disabled by default. Compiling in will add ~6kB to binary size on x86-64. function old new delta gcm_process - 1060 +1060 .rodata 26976 27808 +832 gcm_gf_mult - 820 +820 gcm_add_aad - 660 +660 gcm_shift_table - 512 +512 gcm_done - 471 +471 gcm_add_iv - 384 +384 gcm_init - 347 +347 dropbear_gcm_crypt - 309 +309 encrypt_packet 1068 1270 +202 decrypt_packet 756 897 +141 gcm_reset - 118 +118 read_packet 543 637 +94 read_kex_algos 792 880 +88 sshciphers 280 360 +80 gcm_mult_h - 80 +80 dropbear_gcm_start - 62 +62 dropbear_mode_gcm - 48 +48 dropbear_mode_none 24 48 +24 dropbear_mode_ctr 24 48 +24 dropbear_mode_cbc 24 48 +24 dropbear_ghash - 24 +24 dropbear_gcm_getlength - 24 +24 gen_new_keys 848 854 +6 ------------------------------------------------------------------------------ (add/remove: 14/0 grow/shrink: 10/0 up/down: 6434/0) Total: 6434 bytes --- Makefile.in | 2 +- algo.h | 8 ++ chachapoly.c | 148 ++++++++++++++++++++++++++++ chachapoly.h | 44 +++++++++ common-algo.c | 21 +++- common-kex.c | 44 +++++++-- default_options.h | 13 +++ gcm.c | 120 ++++++++++++++++++++++ gcm.h | 47 +++++++++ libtomcrypt/src/headers/tomcrypt_dropbear.h | 8 ++ packet.c | 145 +++++++++++++++++++-------- session.h | 8 ++ sysoptions.h | 8 +- 13 files changed, 560 insertions(+), 56 deletions(-) create mode 100644 chachapoly.c create mode 100644 chachapoly.h create mode 100644 gcm.c create mode 100644 gcm.h (limited to 'libtomcrypt/src') diff --git a/Makefile.in b/Makefile.in index aaf7b3b..6db9f04 100644 --- a/Makefile.in +++ b/Makefile.in @@ -53,7 +53,7 @@ CLIOBJS=cli-main.o cli-auth.o cli-authpasswd.o cli-kex.o \ CLISVROBJS=common-session.o packet.o common-algo.o common-kex.o \ common-channel.o common-chansession.o termcodes.o loginrec.o \ tcp-accept.o listener.o process-packet.o dh_groups.o \ - common-runopts.o circbuffer.o list.o netio.o + common-runopts.o circbuffer.o list.o netio.o chachapoly.o gcm.o KEYOBJS=dropbearkey.o diff --git a/algo.h b/algo.h index b12fb94..efd0d73 100644 --- a/algo.h +++ b/algo.h @@ -72,6 +72,14 @@ struct dropbear_cipher_mode { unsigned long len, void *cipher_state); int (*decrypt)(const unsigned char *ct, unsigned char *pt, unsigned long len, void *cipher_state); + int (*aead_crypt)(unsigned int seq, + const unsigned char *in, unsigned char *out, + unsigned long len, unsigned long taglen, + void *cipher_state, int direction); + int (*aead_getlength)(unsigned int seq, + const unsigned char *in, unsigned int *outlen, + unsigned long len, void *cipher_state); + const struct dropbear_hash *aead_mac; }; struct dropbear_hash { diff --git a/chachapoly.c b/chachapoly.c new file mode 100644 index 0000000..8fb06c5 --- /dev/null +++ b/chachapoly.c @@ -0,0 +1,148 @@ +/* + * Dropbear SSH + * + * Copyright (c) 2002,2003 Matt Johnston + * Copyright (c) 2020 by Vladislav Grishenko + * All rights reserved. + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. */ + +#include "includes.h" +#include "algo.h" +#include "dbutil.h" +#include "chachapoly.h" + +#if DROPBEAR_CHACHA20POLY1305 + +#define CHACHA20_KEY_LEN 32 +#define CHACHA20_BLOCKSIZE 8 +#define POLY1305_KEY_LEN 32 +#define POLY1305_TAG_LEN 16 + +static const struct ltc_cipher_descriptor dummy = {.name = NULL}; + +static const struct dropbear_hash dropbear_chachapoly_mac = + {NULL, POLY1305_KEY_LEN, POLY1305_TAG_LEN}; + +const struct dropbear_cipher dropbear_chachapoly = + {&dummy, CHACHA20_KEY_LEN*2, CHACHA20_BLOCKSIZE}; + +static int dropbear_chachapoly_start(int UNUSED(cipher), const unsigned char* UNUSED(IV), + const unsigned char *key, int keylen, + int UNUSED(num_rounds), dropbear_chachapoly_state *state) { + int err; + + TRACE2(("enter dropbear_chachapoly_start")) + + if (keylen != CHACHA20_KEY_LEN*2) { + return CRYPT_ERROR; + } + + if ((err = chacha_setup(&state->chacha, key, + CHACHA20_KEY_LEN, 20)) != CRYPT_OK) { + return err; + } + + if ((err = chacha_setup(&state->header, key + CHACHA20_KEY_LEN, + CHACHA20_KEY_LEN, 20) != CRYPT_OK)) { + return err; + } + + TRACE2(("leave dropbear_chachapoly_start")) + return CRYPT_OK; +} + +static int dropbear_chachapoly_crypt(unsigned int seq, + const unsigned char *in, unsigned char *out, + unsigned long len, unsigned long taglen, + dropbear_chachapoly_state *state, int direction) { + poly1305_state poly; + unsigned char seqbuf[8], key[POLY1305_KEY_LEN], tag[POLY1305_TAG_LEN]; + int err; + + TRACE2(("enter dropbear_chachapoly_crypt")) + + if (len < 4 || taglen != POLY1305_TAG_LEN) { + return CRYPT_ERROR; + } + + STORE64H(seq, seqbuf); + chacha_ivctr64(&state->chacha, seqbuf, sizeof(seqbuf), 0); + if ((err = chacha_keystream(&state->chacha, key, sizeof(key))) != CRYPT_OK) { + return err; + } + + poly1305_init(&poly, key, sizeof(key)); + if (direction == LTC_DECRYPT) { + poly1305_process(&poly, in, len); + poly1305_done(&poly, tag, &taglen); + if (constant_time_memcmp(in + len, tag, taglen) != 0) { + return CRYPT_ERROR; + } + } + + chacha_ivctr64(&state->header, seqbuf, sizeof(seqbuf), 0); + if ((err = chacha_crypt(&state->header, in, 4, out)) != CRYPT_OK) { + return err; + } + + chacha_ivctr64(&state->chacha, seqbuf, sizeof(seqbuf), 1); + if ((err = chacha_crypt(&state->chacha, in + 4, len - 4, out + 4)) != CRYPT_OK) { + return err; + } + + if (direction == LTC_ENCRYPT) { + poly1305_process(&poly, out, len); + poly1305_done(&poly, out + len, &taglen); + } + + TRACE2(("leave dropbear_chachapoly_crypt")) + return CRYPT_OK; +} + +static int dropbear_chachapoly_getlength(unsigned int seq, + const unsigned char *in, unsigned int *outlen, + unsigned long len, dropbear_chachapoly_state *state) { + unsigned char seqbuf[8], buf[4]; + int err; + + TRACE2(("enter dropbear_chachapoly_parse")) + + if (len < sizeof(buf)) { + return CRYPT_ERROR; + } + + STORE64H(seq, seqbuf); + chacha_ivctr64(&state->header, seqbuf, sizeof(seqbuf), 0); + if ((err = chacha_crypt(&state->header, in, sizeof(buf), buf)) != CRYPT_OK) { + return err; + } + + LOAD32H(*outlen, buf); + + TRACE2(("leave dropbear_chachapoly_parse")) + return CRYPT_OK; +} + +const struct dropbear_cipher_mode dropbear_mode_chachapoly = + {(void *)dropbear_chachapoly_start, NULL, NULL, + (void *)dropbear_chachapoly_crypt, + (void *)dropbear_chachapoly_getlength, &dropbear_chachapoly_mac}; + +#endif /* DROPBEAR_CHACHA20POLY1305 */ diff --git a/chachapoly.h b/chachapoly.h new file mode 100644 index 0000000..5a7c5b2 --- /dev/null +++ b/chachapoly.h @@ -0,0 +1,44 @@ +/* + * Dropbear SSH + * + * Copyright (c) 2002,2003 Matt Johnston + * Copyright (c) 2020 by Vladislav Grishenko + * All rights reserved. + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. */ + +#ifndef DROPBEAR_DROPBEAR_CHACHAPOLY_H_ +#define DROPBEAR_DROPBEAR_CHACHAPOLY_H_ + +#include "includes.h" +#include "algo.h" + +#if DROPBEAR_CHACHA20POLY1305 + +typedef struct { + chacha_state chacha; + chacha_state header; +} dropbear_chachapoly_state; + +extern const struct dropbear_cipher dropbear_chachapoly; +extern const struct dropbear_cipher_mode dropbear_mode_chachapoly; + +#endif /* DROPBEAR_CHACHA20POLY1305 */ + +#endif /* DROPBEAR_DROPBEAR_CHACHAPOLY_H_ */ diff --git a/common-algo.c b/common-algo.c index 558aad2..eb1323f 100644 --- a/common-algo.c +++ b/common-algo.c @@ -30,6 +30,8 @@ #include "dh_groups.h" #include "ltc_prng.h" #include "ecc.h" +#include "gcm.h" +#include "chachapoly.h" /* This file (algo.c) organises the ciphers which can be used, and is used to * decide which ciphers/hashes/compression/signing to use during key exchange*/ @@ -86,11 +88,11 @@ const struct dropbear_cipher dropbear_nocipher = * about the symmetric_CBC vs symmetric_CTR cipher_state pointer */ #if DROPBEAR_ENABLE_CBC_MODE const struct dropbear_cipher_mode dropbear_mode_cbc = - {(void*)cbc_start, (void*)cbc_encrypt, (void*)cbc_decrypt}; + {(void*)cbc_start, (void*)cbc_encrypt, (void*)cbc_decrypt, NULL, NULL, NULL}; #endif /* DROPBEAR_ENABLE_CBC_MODE */ const struct dropbear_cipher_mode dropbear_mode_none = - {void_start, void_cipher, void_cipher}; + {void_start, void_cipher, void_cipher, NULL, NULL, NULL}; #if DROPBEAR_ENABLE_CTR_MODE /* a wrapper to make ctr_start and cbc_start look the same */ @@ -101,7 +103,7 @@ static int dropbear_big_endian_ctr_start(int cipher, return ctr_start(cipher, IV, key, keylen, num_rounds, CTR_COUNTER_BIG_ENDIAN, ctr); } const struct dropbear_cipher_mode dropbear_mode_ctr = - {(void*)dropbear_big_endian_ctr_start, (void*)ctr_encrypt, (void*)ctr_decrypt}; + {(void*)dropbear_big_endian_ctr_start, (void*)ctr_encrypt, (void*)ctr_decrypt, NULL, NULL, NULL}; #endif /* DROPBEAR_ENABLE_CTR_MODE */ /* Mapping of ssh hashes to libtomcrypt hashes, including keysize etc. @@ -137,6 +139,19 @@ const struct dropbear_hash dropbear_nohash = * that is also supported by the server will get used. */ algo_type sshciphers[] = { +#if DROPBEAR_CHACHA20POLY1305 + {"chacha20-poly1305@openssh.com", 0, &dropbear_chachapoly, 1, &dropbear_mode_chachapoly}, +#endif + +#if DROPBEAR_ENABLE_GCM_MODE +#if DROPBEAR_AES128 + {"aes128-gcm@openssh.com", 0, &dropbear_aes128, 1, &dropbear_mode_gcm}, +#endif +#if DROPBEAR_AES256 + {"aes256-gcm@openssh.com", 0, &dropbear_aes256, 1, &dropbear_mode_gcm}, +#endif +#endif /* DROPBEAR_ENABLE_GCM_MODE */ + #if DROPBEAR_ENABLE_CTR_MODE #if DROPBEAR_AES128 {"aes128-ctr", 0, &dropbear_aes128, 1, &dropbear_mode_ctr}, diff --git a/common-kex.c b/common-kex.c index 16b7e27..5e2923f 100644 --- a/common-kex.c +++ b/common-kex.c @@ -329,9 +329,12 @@ static void gen_new_keys() { hashkeys(S2C_key, sizeof(S2C_key), &hs, 'D'); if (ses.newkeys->recv.algo_crypt->cipherdesc != NULL) { - int recv_cipher = find_cipher(ses.newkeys->recv.algo_crypt->cipherdesc->name); - if (recv_cipher < 0) - dropbear_exit("Crypto error"); + int recv_cipher = -1; + if (ses.newkeys->recv.algo_crypt->cipherdesc->name != NULL) { + recv_cipher = find_cipher(ses.newkeys->recv.algo_crypt->cipherdesc->name); + if (recv_cipher < 0) + dropbear_exit("Crypto error"); + } if (ses.newkeys->recv.crypt_mode->start(recv_cipher, recv_IV, recv_key, ses.newkeys->recv.algo_crypt->keysize, 0, @@ -341,9 +344,12 @@ static void gen_new_keys() { } if (ses.newkeys->trans.algo_crypt->cipherdesc != NULL) { - int trans_cipher = find_cipher(ses.newkeys->trans.algo_crypt->cipherdesc->name); - if (trans_cipher < 0) - dropbear_exit("Crypto error"); + int trans_cipher = -1; + if (ses.newkeys->trans.algo_crypt->cipherdesc->name != NULL) { + trans_cipher = find_cipher(ses.newkeys->trans.algo_crypt->cipherdesc->name); + if (trans_cipher < 0) + dropbear_exit("Crypto error"); + } if (ses.newkeys->trans.crypt_mode->start(trans_cipher, trans_IV, trans_key, ses.newkeys->trans.algo_crypt->keysize, 0, @@ -868,19 +874,29 @@ static void read_kex_algos() { /* mac_algorithms_client_to_server */ c2s_hash_algo = buf_match_algo(ses.payload, sshhashes, NULL, NULL); +#if DROPBEAR_AEAD_MODE + if (((struct dropbear_cipher_mode*)c2s_cipher_algo->mode)->aead_crypt != NULL) { + c2s_hash_algo = NULL; + } else +#endif if (c2s_hash_algo == NULL) { erralgo = "mac c->s"; goto error; } - TRACE(("hash c2s is %s", c2s_hash_algo->name)) + TRACE(("hash c2s is %s", c2s_hash_algo ? c2s_hash_algo->name : "")) /* mac_algorithms_server_to_client */ s2c_hash_algo = buf_match_algo(ses.payload, sshhashes, NULL, NULL); +#if DROPBEAR_AEAD_MODE + if (((struct dropbear_cipher_mode*)s2c_cipher_algo->mode)->aead_crypt != NULL) { + s2c_hash_algo = NULL; + } else +#endif if (s2c_hash_algo == NULL) { erralgo = "mac s->c"; goto error; } - TRACE(("hash s2c is %s", s2c_hash_algo->name)) + TRACE(("hash s2c is %s", s2c_hash_algo ? s2c_hash_algo->name : "")) /* compression_algorithms_client_to_server */ c2s_comp_algo = buf_match_algo(ses.payload, ses.compress_algos, NULL, NULL); @@ -925,8 +941,14 @@ static void read_kex_algos() { ses.newkeys->trans.crypt_mode = (struct dropbear_cipher_mode*)c2s_cipher_algo->mode; ses.newkeys->recv.algo_mac = +#if DROPBEAR_AEAD_MODE + s2c_hash_algo == NULL ? ses.newkeys->recv.crypt_mode->aead_mac : +#endif (struct dropbear_hash*)s2c_hash_algo->data; ses.newkeys->trans.algo_mac = +#if DROPBEAR_AEAD_MODE + c2s_hash_algo == NULL ? ses.newkeys->trans.crypt_mode->aead_mac : +#endif (struct dropbear_hash*)c2s_hash_algo->data; ses.newkeys->recv.algo_comp = s2c_comp_algo->val; ses.newkeys->trans.algo_comp = c2s_comp_algo->val; @@ -941,8 +963,14 @@ static void read_kex_algos() { ses.newkeys->trans.crypt_mode = (struct dropbear_cipher_mode*)s2c_cipher_algo->mode; ses.newkeys->recv.algo_mac = +#if DROPBEAR_AEAD_MODE + c2s_hash_algo == NULL ? ses.newkeys->recv.crypt_mode->aead_mac : +#endif (struct dropbear_hash*)c2s_hash_algo->data; ses.newkeys->trans.algo_mac = +#if DROPBEAR_AEAD_MODE + s2c_hash_algo == NULL ? ses.newkeys->trans.crypt_mode->aead_mac : +#endif (struct dropbear_hash*)s2c_hash_algo->data; ses.newkeys->recv.algo_comp = c2s_comp_algo->val; ses.newkeys->trans.algo_comp = s2c_comp_algo->val; diff --git a/default_options.h b/default_options.h index bafbb07..2ca01b3 100644 --- a/default_options.h +++ b/default_options.h @@ -99,6 +99,19 @@ IMPORTANT: Some options will require "make clean" after changes */ * and forwards compatibility */ #define DROPBEAR_ENABLE_CTR_MODE 1 +/* Enable "Galois/Counter Mode" for ciphers. This authenticated + * encryption mode is combination of CTR mode and GHASH. Recommended + * for security and forwards compatibility, but slower than CTR on + * CPU w/o dedicated AES/GHASH instructions. + * Compiling in will add ~6kB to binary size on x86-64 */ +#define DROPBEAR_ENABLE_GCM_MODE 0 + +/* Enable Chacha20-Poly1305 authenticated encryption mode. This is + * generally faster than AES256 on CPU w/o dedicated AES instructions, + * having the same key size. + * Compiling in will add ~5,5kB to binary size on x86-64 */ +#define DROPBEAR_CHACHA20POLY1305 1 + /* Message integrity. sha2-256 is recommended as a default, sha1 for compatibility */ #define DROPBEAR_SHA1_HMAC 1 diff --git a/gcm.c b/gcm.c new file mode 100644 index 0000000..8f5f3d9 --- /dev/null +++ b/gcm.c @@ -0,0 +1,120 @@ +/* + * Dropbear SSH + * + * Copyright (c) 2002,2003 Matt Johnston + * Copyright (c) 2020 by Vladislav Grishenko + * All rights reserved. + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. */ + +#include "includes.h" +#include "algo.h" +#include "dbutil.h" +#include "gcm.h" + +#if DROPBEAR_ENABLE_GCM_MODE + +#define GHASH_LEN 16 + +static const struct dropbear_hash dropbear_ghash = + {NULL, 0, GHASH_LEN}; + +static int dropbear_gcm_start(int cipher, const unsigned char *IV, + const unsigned char *key, int keylen, + int UNUSED(num_rounds), dropbear_gcm_state *state) { + int err; + + TRACE2(("enter dropbear_gcm_start")) + + if ((err = gcm_init(&state->gcm, cipher, key, keylen)) != CRYPT_OK) { + return err; + } + memcpy(state->iv, IV, GCM_NONCE_LEN); + + TRACE2(("leave dropbear_gcm_start")) + return CRYPT_OK; +} + +static int dropbear_gcm_crypt(unsigned int UNUSED(seq), + const unsigned char *in, unsigned char *out, + unsigned long len, unsigned long taglen, + dropbear_gcm_state *state, int direction) { + unsigned char *iv, tag[GHASH_LEN]; + int i, err; + + TRACE2(("enter dropbear_gcm_crypt")) + + if (len < 4 || taglen != GHASH_LEN) { + return CRYPT_ERROR; + } + + gcm_reset(&state->gcm); + + if ((err = gcm_add_iv(&state->gcm, + state->iv, GCM_NONCE_LEN)) != CRYPT_OK) { + return err; + } + + if ((err = gcm_add_aad(&state->gcm, in, 4)) != CRYPT_OK) { + return err; + } + + if ((err = gcm_process(&state->gcm, (unsigned char *) in + 4, + len - 4, out + 4, direction)) != CRYPT_OK) { + return err; + } + + if (direction == LTC_ENCRYPT) { + gcm_done(&state->gcm, out + len, &taglen); + } else { + gcm_done(&state->gcm, tag, &taglen); + if (constant_time_memcmp(in + len, tag, taglen) != 0) { + return CRYPT_ERROR; + } + } + + /* increment invocation counter */ + iv = state->iv + GCM_IVFIX_LEN; + for (i = GCM_IVCTR_LEN - 1; i >= 0 && ++iv[i] == 0; i--); + + TRACE2(("leave dropbear_gcm_crypt")) + return CRYPT_OK; +} + +static int dropbear_gcm_getlength(unsigned int UNUSED(seq), + const unsigned char *in, unsigned int *outlen, + unsigned long len, dropbear_gcm_state* UNUSED(state)) { + TRACE2(("enter dropbear_gcm_parse")) + + if (len < 4) { + return CRYPT_ERROR; + } + + LOAD32H(*outlen, in); + + TRACE2(("leave dropbear_gcm_parse")) + return CRYPT_OK; +} + +const struct dropbear_cipher_mode dropbear_mode_gcm = + {(void *)dropbear_gcm_start, NULL, NULL, + (void *)dropbear_gcm_crypt, + (void *)dropbear_gcm_getlength, &dropbear_ghash}; + +#endif /* DROPBEAR_ENABLE_GCM_MODE */ diff --git a/gcm.h b/gcm.h new file mode 100644 index 0000000..58c530a --- /dev/null +++ b/gcm.h @@ -0,0 +1,47 @@ +/* + * Dropbear SSH + * + * Copyright (c) 2002,2003 Matt Johnston + * Copyright (c) 2020 by Vladislav Grishenko + * All rights reserved. + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. */ + +#ifndef DROPBEAR_DROPBEAR_GCM_H_ +#define DROPBEAR_DROPBEAR_GCM_H_ + +#include "includes.h" +#include "algo.h" + +#if DROPBEAR_ENABLE_GCM_MODE + +#define GCM_IVFIX_LEN 4 +#define GCM_IVCTR_LEN 8 +#define GCM_NONCE_LEN (GCM_IVFIX_LEN + GCM_IVCTR_LEN) + +typedef struct { + gcm_state gcm; + unsigned char iv[GCM_NONCE_LEN]; +} dropbear_gcm_state; + +extern const struct dropbear_cipher_mode dropbear_mode_gcm; + +#endif /* DROPBEAR_ENABLE_GCM_MODE */ + +#endif /* DROPBEAR_DROPBEAR_GCM_H_ */ diff --git a/libtomcrypt/src/headers/tomcrypt_dropbear.h b/libtomcrypt/src/headers/tomcrypt_dropbear.h index b0ce45b..ae29475 100644 --- a/libtomcrypt/src/headers/tomcrypt_dropbear.h +++ b/libtomcrypt/src/headers/tomcrypt_dropbear.h @@ -35,6 +35,14 @@ #define LTC_CTR_MODE #endif +#if DROPBEAR_ENABLE_GCM_MODE +#define LTC_GCM_MODE +#endif + +#if DROPBEAR_CHACHA20POLY1305 +#define LTC_CHACHA +#define LTC_POLY1305 +#endif #if DROPBEAR_SHA512 #define LTC_SHA512 diff --git a/packet.c b/packet.c index 9fda0d6..0454726 100644 --- a/packet.c +++ b/packet.c @@ -215,7 +215,7 @@ static int read_packet_init() { unsigned int maxlen; int slen; - unsigned int len; + unsigned int len, plen; unsigned int blocksize; unsigned int macsize; @@ -254,21 +254,35 @@ static int read_packet_init() { /* now we have the first block, need to get packet length, so we decrypt * the first block (only need first 4 bytes) */ buf_setpos(ses.readbuf, 0); - if (ses.keys->recv.crypt_mode->decrypt(buf_getptr(ses.readbuf, blocksize), - buf_getwriteptr(ses.readbuf, blocksize), - blocksize, - &ses.keys->recv.cipher_state) != CRYPT_OK) { - dropbear_exit("Error decrypting"); +#if DROPBEAR_AEAD_MODE + if (ses.keys->recv.crypt_mode->aead_crypt) { + if (ses.keys->recv.crypt_mode->aead_getlength(ses.recvseq, + buf_getptr(ses.readbuf, blocksize), &plen, + blocksize, + &ses.keys->recv.cipher_state) != CRYPT_OK) { + dropbear_exit("Error decrypting"); + } + len = plen + 4 + macsize; + } else +#endif + { + if (ses.keys->recv.crypt_mode->decrypt(buf_getptr(ses.readbuf, blocksize), + buf_getwriteptr(ses.readbuf, blocksize), + blocksize, + &ses.keys->recv.cipher_state) != CRYPT_OK) { + dropbear_exit("Error decrypting"); + } + plen = buf_getint(ses.readbuf) + 4; + len = plen + macsize; } - len = buf_getint(ses.readbuf) + 4 + macsize; TRACE2(("packet size is %u, block %u mac %u", len, blocksize, macsize)) /* check packet length */ if ((len > RECV_MAX_PACKET_LEN) || - (len < MIN_PACKET_LEN + macsize) || - ((len - macsize) % blocksize != 0)) { + (plen < blocksize) || + (plen % blocksize != 0)) { dropbear_exit("Integrity error (bad packet size %u)", len); } @@ -294,23 +308,42 @@ void decrypt_packet() { ses.kexstate.datarecv += ses.readbuf->len; - /* we've already decrypted the first blocksize in read_packet_init */ - buf_setpos(ses.readbuf, blocksize); - - /* decrypt it in-place */ - len = ses.readbuf->len - macsize - ses.readbuf->pos; - if (ses.keys->recv.crypt_mode->decrypt( - buf_getptr(ses.readbuf, len), - buf_getwriteptr(ses.readbuf, len), - len, - &ses.keys->recv.cipher_state) != CRYPT_OK) { - dropbear_exit("Error decrypting"); - } - buf_incrpos(ses.readbuf, len); +#if DROPBEAR_AEAD_MODE + if (ses.keys->recv.crypt_mode->aead_crypt) { + /* first blocksize is not decrypted yet */ + buf_setpos(ses.readbuf, 0); + + /* decrypt it in-place */ + len = ses.readbuf->len - macsize - ses.readbuf->pos; + if (ses.keys->recv.crypt_mode->aead_crypt(ses.recvseq, + buf_getptr(ses.readbuf, len + macsize), + buf_getwriteptr(ses.readbuf, len), + len, macsize, + &ses.keys->recv.cipher_state, LTC_DECRYPT) != CRYPT_OK) { + dropbear_exit("Error decrypting"); + } + buf_incrpos(ses.readbuf, len); + } else +#endif + { + /* we've already decrypted the first blocksize in read_packet_init */ + buf_setpos(ses.readbuf, blocksize); + + /* decrypt it in-place */ + len = ses.readbuf->len - macsize - ses.readbuf->pos; + if (ses.keys->recv.crypt_mode->decrypt( + buf_getptr(ses.readbuf, len), + buf_getwriteptr(ses.readbuf, len), + len, + &ses.keys->recv.cipher_state) != CRYPT_OK) { + dropbear_exit("Error decrypting"); + } + buf_incrpos(ses.readbuf, len); - /* check the hmac */ - if (checkmac() != DROPBEAR_SUCCESS) { - dropbear_exit("Integrity error"); + /* check the hmac */ + if (checkmac() != DROPBEAR_SUCCESS) { + dropbear_exit("Integrity error"); + } } /* get padding length */ @@ -557,9 +590,16 @@ void encrypt_packet() { buf_setpos(ses.writepayload, 0); buf_setlen(ses.writepayload, 0); - /* length of padding - packet length must be a multiple of blocksize, - * with a minimum of 4 bytes of padding */ - padlen = blocksize - (writebuf->len) % blocksize; + /* length of padding - packet length excluding the packetlength uint32 + * field in aead mode must be a multiple of blocksize, with a minimum of + * 4 bytes of padding */ + len = writebuf->len; +#if DROPBEAR_AEAD_MODE + if (ses.keys->trans.crypt_mode->aead_crypt) { + len -= 4; + } +#endif + padlen = blocksize - len % blocksize; if (padlen < 4) { padlen += blocksize; } @@ -579,23 +619,42 @@ void encrypt_packet() { buf_incrlen(writebuf, padlen); genrandom(buf_getptr(writebuf, padlen), padlen); - make_mac(ses.transseq, &ses.keys->trans, writebuf, writebuf->len, mac_bytes); +#if DROPBEAR_AEAD_MODE + if (ses.keys->trans.crypt_mode->aead_crypt) { + /* do the actual encryption, in-place */ + buf_setpos(writebuf, 0); + /* encrypt it in-place*/ + len = writebuf->len; + buf_incrlen(writebuf, mac_size); + if (ses.keys->trans.crypt_mode->aead_crypt(ses.transseq, + buf_getptr(writebuf, len), + buf_getwriteptr(writebuf, len + mac_size), + len, mac_size, + &ses.keys->trans.cipher_state, LTC_ENCRYPT) != CRYPT_OK) { + dropbear_exit("Error encrypting"); + } + buf_incrpos(writebuf, len + mac_size); + } else +#endif + { + make_mac(ses.transseq, &ses.keys->trans, writebuf, writebuf->len, mac_bytes); + + /* do the actual encryption, in-place */ + buf_setpos(writebuf, 0); + /* encrypt it in-place*/ + len = writebuf->len; + if (ses.keys->trans.crypt_mode->encrypt( + buf_getptr(writebuf, len), + buf_getwriteptr(writebuf, len), + len, + &ses.keys->trans.cipher_state) != CRYPT_OK) { + dropbear_exit("Error encrypting"); + } + buf_incrpos(writebuf, len); - /* do the actual encryption, in-place */ - buf_setpos(writebuf, 0); - /* encrypt it in-place*/ - len = writebuf->len; - if (ses.keys->trans.crypt_mode->encrypt( - buf_getptr(writebuf, len), - buf_getwriteptr(writebuf, len), - len, - &ses.keys->trans.cipher_state) != CRYPT_OK) { - dropbear_exit("Error encrypting"); + /* stick the MAC on it */ + buf_putbytes(writebuf, mac_bytes, mac_size); } - buf_incrpos(writebuf, len); - - /* stick the MAC on it */ - buf_putbytes(writebuf, mac_bytes, mac_size); /* Update counts */ ses.kexstate.datatrans += writebuf->len; diff --git a/session.h b/session.h index e436882..01416c9 100644 --- a/session.h +++ b/session.h @@ -41,6 +41,8 @@ #if DROPBEAR_PLUGIN #include "pubkeyapi.h" #endif +#include "gcm.h" +#include "chachapoly.h" void common_session_init(int sock_in, int sock_out); void session_loop(void(*loophandler)(void)) ATTRIB_NORETURN; @@ -80,6 +82,12 @@ struct key_context_directional { symmetric_CBC cbc; #if DROPBEAR_ENABLE_CTR_MODE symmetric_CTR ctr; +#endif +#if DROPBEAR_ENABLE_GCM_MODE + dropbear_gcm_state gcm; +#endif +#if DROPBEAR_CHACHA20POLY1305 + dropbear_chachapoly_state chachapoly; #endif } cipher_state; unsigned char mackey[MAX_MAC_LEN]; diff --git a/sysoptions.h b/sysoptions.h index 2c27caf..2cfdef2 100644 --- a/sysoptions.h +++ b/sysoptions.h @@ -92,7 +92,11 @@ #define MD5_HASH_SIZE 16 #define MAX_HASH_SIZE 64 /* sha512 */ +#if DROPBEAR_CHACHA20POLY1305 +#define MAX_KEY_LEN 64 /* 2 x 256 bits for chacha20 */ +#else #define MAX_KEY_LEN 32 /* 256 bits for aes256 etc */ +#endif #define MAX_IV_LEN 20 /* must be same as max blocksize, */ #if DROPBEAR_SHA2_512_HMAC @@ -207,6 +211,8 @@ If you test it please contact the Dropbear author */ #define DROPBEAR_TWOFISH ((DROPBEAR_TWOFISH256) || (DROPBEAR_TWOFISH128)) +#define DROPBEAR_AEAD_MODE ((DROPBEAR_CHACHA20POLY1305) || (DROPBEAR_ENABLE_GCM_MODE)) + #define DROPBEAR_CLI_ANYTCPFWD ((DROPBEAR_CLI_REMOTETCPFWD) || (DROPBEAR_CLI_LOCALTCPFWD)) #define DROPBEAR_TCP_ACCEPT ((DROPBEAR_CLI_LOCALTCPFWD) || (DROPBEAR_SVR_REMOTETCPFWD)) @@ -249,7 +255,7 @@ If you test it please contact the Dropbear author */ #endif #if !(DROPBEAR_AES128 || DROPBEAR_3DES || DROPBEAR_AES256 || DROPBEAR_BLOWFISH \ - || DROPBEAR_TWOFISH256 || DROPBEAR_TWOFISH128) + || DROPBEAR_TWOFISH256 || DROPBEAR_TWOFISH128 || DROPBEAR_CHACHA20POLY1305) #error "At least one encryption algorithm must be enabled. AES128 is recommended." #endif -- cgit v1.2.3 From 61267f85035c0c77059992f50ef20f62e192ba04 Mon Sep 17 00:00:00 2001 From: Vladislav Grishenko Date: Mon, 25 May 2020 20:55:13 +0500 Subject: CBC mode cleanup (#95) * Fix CBC mode can't be fully disabled * Fix CBC mode can't be the only mode --- common-algo.c | 8 +++++++- libtomcrypt/src/headers/tomcrypt_dropbear.h | 2 +- session.h | 2 ++ 3 files changed, 10 insertions(+), 2 deletions(-) (limited to 'libtomcrypt/src') diff --git a/common-algo.c b/common-algo.c index eb1323f..21ccbe3 100644 --- a/common-algo.c +++ b/common-algo.c @@ -184,12 +184,18 @@ algo_type sshciphers[] = { #if DROPBEAR_TWOFISH128 {"twofish128-cbc", 0, &dropbear_twofish128, 1, &dropbear_mode_cbc}, #endif +#endif /* DROPBEAR_ENABLE_CBC_MODE */ + #if DROPBEAR_3DES +#if DROPBEAR_ENABLE_CTR_MODE {"3des-ctr", 0, &dropbear_3des, 1, &dropbear_mode_ctr}, #endif -#if DROPBEAR_3DES +#if DROPBEAR_ENABLE_CBC_MODE {"3des-cbc", 0, &dropbear_3des, 1, &dropbear_mode_cbc}, #endif +#endif /* DROPBEAR_3DES */ + +#if DROPBEAR_ENABLE_CBC_MODE #if DROPBEAR_BLOWFISH {"blowfish-cbc", 0, &dropbear_blowfish, 1, &dropbear_mode_cbc}, #endif diff --git a/libtomcrypt/src/headers/tomcrypt_dropbear.h b/libtomcrypt/src/headers/tomcrypt_dropbear.h index ae29475..323902b 100644 --- a/libtomcrypt/src/headers/tomcrypt_dropbear.h +++ b/libtomcrypt/src/headers/tomcrypt_dropbear.h @@ -27,7 +27,7 @@ #define LTC_DES #endif -#if DROPBEAR_ENABLE_CTR_MODE +#if DROPBEAR_ENABLE_CBC_MODE #define LTC_CBC_MODE #endif diff --git a/session.h b/session.h index 01416c9..0cf4280 100644 --- a/session.h +++ b/session.h @@ -79,7 +79,9 @@ struct key_context_directional { #endif /* actual keys */ union { +#if DROPBEAR_ENABLE_CBC_MODE symmetric_CBC cbc; +#endif #if DROPBEAR_ENABLE_CTR_MODE symmetric_CTR ctr; #endif -- cgit v1.2.3 From b4bd23b4d2a4c640880b49069e02cd598dd03416 Mon Sep 17 00:00:00 2001 From: Steffen Jaeckel Date: Tue, 26 May 2020 17:36:47 +0200 Subject: Update LibTomMath to 1.2.0 (#84) * update C files * update other files * update headers * update makefiles * remove mp_set/get_double() * use ltm 1.2.0 API * update ltm_desc * use bundled tommath if system-tommath is too old * XMALLOC etc. were changed to MP_MALLOC etc. --- bignum.c | 2 +- buffer.c | 12 +- common-kex.c | 4 +- configure.ac | 4 +- dbmalloc.c | 10 + dss.c | 13 +- ecc.c | 4 +- fuzz-common.c | 2 +- genrsa.c | 5 +- keyimport.c | 11 +- libtomcrypt/src/math/ltm_desc.c | 63 +- libtommath/Makefile.in | 105 +- libtommath/README.md | 27 +- libtommath/astylerc | 30 + libtommath/bn.tex | 1913 -- libtommath/bn_cutoffs.c | 14 + libtommath/bn_deprecated.c | 321 + libtommath/bn_error.c | 44 - libtommath/bn_fast_mp_invmod.c | 160 - libtommath/bn_fast_mp_montgomery_reduce.c | 173 - libtommath/bn_fast_s_mp_mul_digs.c | 104 - libtommath/bn_fast_s_mp_mul_high_digs.c | 95 - libtommath/bn_fast_s_mp_sqr.c | 111 - libtommath/bn_mp_2expt.c | 29 +- libtommath/bn_mp_abs.c | 25 +- libtommath/bn_mp_add.c | 30 +- libtommath/bn_mp_add_d.c | 50 +- libtommath/bn_mp_addmod.c | 36 +- libtommath/bn_mp_and.c | 84 +- libtommath/bn_mp_clamp.c | 17 +- libtommath/bn_mp_clear.c | 23 +- libtommath/bn_mp_clear_multi.c | 17 +- libtommath/bn_mp_cmp.c | 19 +- libtommath/bn_mp_cmp_d.c | 19 +- libtommath/bn_mp_cmp_mag.c | 21 +- libtommath/bn_mp_cnt_lsb.c | 21 +- libtommath/bn_mp_complement.c | 23 +- libtommath/bn_mp_copy.c | 55 +- libtommath/bn_mp_count_bits.c | 25 +- libtommath/bn_mp_decr.c | 34 + libtommath/bn_mp_div.c | 163 +- libtommath/bn_mp_div_2.c | 66 +- libtommath/bn_mp_div_2d.c | 44 +- libtommath/bn_mp_div_3.c | 36 +- libtommath/bn_mp_div_d.c | 60 +- libtommath/bn_mp_dr_is_modulus.c | 25 +- libtommath/bn_mp_dr_reduce.c | 28 +- libtommath/bn_mp_dr_setup.c | 23 +- libtommath/bn_mp_error_to_string.c | 27 + libtommath/bn_mp_exch.c | 17 +- libtommath/bn_mp_export.c | 84 - libtommath/bn_mp_expt_d.c | 25 - libtommath/bn_mp_expt_d_ex.c | 79 - libtommath/bn_mp_expt_u32.c | 46 + libtommath/bn_mp_exptmod.c | 81 +- libtommath/bn_mp_exptmod_fast.c | 319 - libtommath/bn_mp_exteuclid.c | 95 +- libtommath/bn_mp_fread.c | 48 +- libtommath/bn_mp_from_sbin.c | 25 + libtommath/bn_mp_from_ubin.c | 39 + libtommath/bn_mp_fwrite.c | 60 +- libtommath/bn_mp_gcd.c | 54 +- libtommath/bn_mp_get_bit.c | 54 - libtommath/bn_mp_get_i32.c | 7 + libtommath/bn_mp_get_i64.c | 7 + libtommath/bn_mp_get_int.c | 42 - libtommath/bn_mp_get_l.c | 7 + libtommath/bn_mp_get_ll.c | 7 + libtommath/bn_mp_get_long.c | 42 - libtommath/bn_mp_get_long_long.c | 42 - libtommath/bn_mp_get_mag_u32.c | 7 + libtommath/bn_mp_get_mag_u64.c | 7 + libtommath/bn_mp_get_mag_ul.c | 7 + libtommath/bn_mp_get_mag_ull.c | 7 + libtommath/bn_mp_grow.c | 30 +- libtommath/bn_mp_import.c | 68 - libtommath/bn_mp_incr.c | 30 + libtommath/bn_mp_init.c | 28 +- libtommath/bn_mp_init_copy.c | 29 +- libtommath/bn_mp_init_i32.c | 7 + libtommath/bn_mp_init_i64.c | 7 + libtommath/bn_mp_init_l.c | 7 + libtommath/bn_mp_init_ll.c | 7 + libtommath/bn_mp_init_multi.c | 25 +- libtommath/bn_mp_init_set.c | 21 +- libtommath/bn_mp_init_set_int.c | 28 - libtommath/bn_mp_init_size.c | 31 +- libtommath/bn_mp_init_u32.c | 7 + libtommath/bn_mp_init_u64.c | 7 + libtommath/bn_mp_init_ul.c | 7 + libtommath/bn_mp_init_ull.c | 7 + libtommath/bn_mp_invmod.c | 33 +- libtommath/bn_mp_invmod_slow.c | 173 - libtommath/bn_mp_is_square.c | 48 +- libtommath/bn_mp_iseven.c | 10 + libtommath/bn_mp_isodd.c | 10 + libtommath/bn_mp_jacobi.c | 36 - libtommath/bn_mp_karatsuba_mul.c | 171 - libtommath/bn_mp_karatsuba_sqr.c | 124 - libtommath/bn_mp_kronecker.c | 57 +- libtommath/bn_mp_lcm.c | 37 +- libtommath/bn_mp_log_u32.c | 180 + libtommath/bn_mp_lshd.c | 65 +- libtommath/bn_mp_mod.c | 39 +- libtommath/bn_mp_mod_2d.c | 41 +- libtommath/bn_mp_mod_d.c | 19 +- libtommath/bn_mp_montgomery_calc_normalization.c | 38 +- libtommath/bn_mp_montgomery_reduce.c | 39 +- libtommath/bn_mp_montgomery_setup.c | 21 +- libtommath/bn_mp_mul.c | 98 +- libtommath/bn_mp_mul_2.c | 33 +- libtommath/bn_mp_mul_2d.c | 43 +- libtommath/bn_mp_mul_d.c | 32 +- libtommath/bn_mp_mulmod.c | 38 +- libtommath/bn_mp_n_root.c | 27 - libtommath/bn_mp_n_root_ex.c | 129 - libtommath/bn_mp_neg.c | 27 +- libtommath/bn_mp_or.c | 82 +- libtommath/bn_mp_pack.c | 69 + libtommath/bn_mp_pack_count.c | 12 + libtommath/bn_mp_prime_fermat.c | 21 +- libtommath/bn_mp_prime_frobenius_underwood.c | 138 +- libtommath/bn_mp_prime_is_divisible.c | 47 - libtommath/bn_mp_prime_is_prime.c | 105 +- libtommath/bn_mp_prime_miller_rabin.c | 22 +- libtommath/bn_mp_prime_next_prime.c | 54 +- libtommath/bn_mp_prime_rabin_miller_trials.c | 54 +- libtommath/bn_mp_prime_rand.c | 141 + libtommath/bn_mp_prime_random_ex.c | 135 - libtommath/bn_mp_prime_strong_lucas_selfridge.c | 258 +- libtommath/bn_mp_radix_size.c | 48 +- libtommath/bn_mp_radix_smap.c | 17 +- libtommath/bn_mp_rand.c | 220 +- libtommath/bn_mp_read_radix.c | 39 +- libtommath/bn_mp_read_signed_bin.c | 38 - libtommath/bn_mp_read_unsigned_bin.c | 52 - libtommath/bn_mp_reduce.c | 64 +- libtommath/bn_mp_reduce_2k.c | 36 +- libtommath/bn_mp_reduce_2k_l.c | 36 +- libtommath/bn_mp_reduce_2k_setup.c | 34 +- libtommath/bn_mp_reduce_2k_setup_l.c | 31 +- libtommath/bn_mp_reduce_is_2k.c | 27 +- libtommath/bn_mp_reduce_is_2k_l.c | 25 +- libtommath/bn_mp_reduce_setup.c | 26 +- libtommath/bn_mp_root_u32.c | 139 + libtommath/bn_mp_rshd.c | 62 +- libtommath/bn_mp_sbin_size.c | 11 + libtommath/bn_mp_set.c | 20 +- libtommath/bn_mp_set_i32.c | 7 + libtommath/bn_mp_set_i64.c | 7 + libtommath/bn_mp_set_int.c | 45 - libtommath/bn_mp_set_l.c | 7 + libtommath/bn_mp_set_ll.c | 7 + libtommath/bn_mp_set_long.c | 21 - libtommath/bn_mp_set_long_long.c | 21 - libtommath/bn_mp_set_u32.c | 7 + libtommath/bn_mp_set_u64.c | 7 + libtommath/bn_mp_set_ul.c | 7 + libtommath/bn_mp_set_ull.c | 7 + libtommath/bn_mp_shrink.c | 34 +- libtommath/bn_mp_signed_bin_size.c | 24 - libtommath/bn_mp_signed_rsh.c | 22 + libtommath/bn_mp_sqr.c | 68 +- libtommath/bn_mp_sqrmod.c | 36 +- libtommath/bn_mp_sqrt.c | 43 +- libtommath/bn_mp_sqrtmod_prime.c | 103 +- libtommath/bn_mp_sub.c | 33 +- libtommath/bn_mp_sub_d.c | 50 +- libtommath/bn_mp_submod.c | 39 +- libtommath/bn_mp_tc_and.c | 90 - libtommath/bn_mp_tc_div_2d.c | 35 - libtommath/bn_mp_tc_or.c | 90 - libtommath/bn_mp_tc_xor.c | 90 - libtommath/bn_mp_to_radix.c | 84 + libtommath/bn_mp_to_sbin.c | 22 + libtommath/bn_mp_to_signed_bin.c | 30 - libtommath/bn_mp_to_signed_bin_n.c | 28 - libtommath/bn_mp_to_ubin.c | 41 + libtommath/bn_mp_to_unsigned_bin.c | 45 - libtommath/bn_mp_to_unsigned_bin_n.c | 28 - libtommath/bn_mp_toom_mul.c | 283 - libtommath/bn_mp_toom_sqr.c | 224 - libtommath/bn_mp_toradix.c | 72 - libtommath/bn_mp_toradix_n.c | 85 - libtommath/bn_mp_ubin_size.c | 12 + libtommath/bn_mp_unpack.c | 49 + libtommath/bn_mp_unsigned_bin_size.c | 25 - libtommath/bn_mp_xor.c | 82 +- libtommath/bn_mp_zero.c | 26 +- libtommath/bn_prime_tab.c | 30 +- libtommath/bn_reverse.c | 35 - libtommath/bn_s_mp_add.c | 34 +- libtommath/bn_s_mp_balance_mul.c | 81 + libtommath/bn_s_mp_exptmod.c | 116 +- libtommath/bn_s_mp_exptmod_fast.c | 254 + libtommath/bn_s_mp_get_bit.c | 21 + libtommath/bn_s_mp_invmod_fast.c | 118 + libtommath/bn_s_mp_invmod_slow.c | 119 + libtommath/bn_s_mp_karatsuba_mul.c | 174 + libtommath/bn_s_mp_karatsuba_sqr.c | 110 + libtommath/bn_s_mp_montgomery_reduce_fast.c | 159 + libtommath/bn_s_mp_mul_digs.c | 37 +- libtommath/bn_s_mp_mul_digs_fast.c | 90 + libtommath/bn_s_mp_mul_high_digs.c | 41 +- libtommath/bn_s_mp_mul_high_digs_fast.c | 81 + libtommath/bn_s_mp_prime_is_divisible.c | 35 + libtommath/bn_s_mp_rand_jenkins.c | 52 + libtommath/bn_s_mp_rand_platform.c | 148 + libtommath/bn_s_mp_reverse.c | 22 + libtommath/bn_s_mp_sqr.c | 36 +- libtommath/bn_s_mp_sqr_fast.c | 97 + libtommath/bn_s_mp_sub.c | 34 +- libtommath/bn_s_mp_toom_mul.c | 215 + libtommath/bn_s_mp_toom_sqr.c | 147 + libtommath/bncore.c | 33 - libtommath/booker.pl | 267 - libtommath/callgraph.txt | 21542 --------------------- libtommath/changes.txt | 37 + libtommath/dep.pl | 194 - libtommath/filter.pl | 34 - libtommath/genlist.sh | 8 - libtommath/helper.pl | 264 +- libtommath/makefile_include.mk | 72 +- libtommath/mess.sh | 4 - libtommath/parsenames.pl | 28 - libtommath/poster.out | 0 libtommath/poster.tex | 35 - libtommath/pretty.build | 66 - libtommath/testme.sh | 226 +- libtommath/tommath.h | 672 +- libtommath/tommath.out | 139 - libtommath/tommath_class.h | 1257 +- libtommath/tommath_cutoffs.h | 13 + libtommath/tommath_private.h | 375 +- libtommath/tommath_superclass.h | 100 +- libtommath/updatemakes.sh | 16 - rsa.c | 16 +- 237 files changed, 6934 insertions(+), 32198 deletions(-) create mode 100644 libtommath/astylerc delete mode 100644 libtommath/bn.tex create mode 100644 libtommath/bn_cutoffs.c create mode 100644 libtommath/bn_deprecated.c delete mode 100644 libtommath/bn_error.c delete mode 100644 libtommath/bn_fast_mp_invmod.c delete mode 100644 libtommath/bn_fast_mp_montgomery_reduce.c delete mode 100644 libtommath/bn_fast_s_mp_mul_digs.c delete mode 100644 libtommath/bn_fast_s_mp_mul_high_digs.c delete mode 100644 libtommath/bn_fast_s_mp_sqr.c create mode 100644 libtommath/bn_mp_decr.c create mode 100644 libtommath/bn_mp_error_to_string.c delete mode 100644 libtommath/bn_mp_export.c delete mode 100644 libtommath/bn_mp_expt_d.c delete mode 100644 libtommath/bn_mp_expt_d_ex.c create mode 100644 libtommath/bn_mp_expt_u32.c delete mode 100644 libtommath/bn_mp_exptmod_fast.c create mode 100644 libtommath/bn_mp_from_sbin.c create mode 100644 libtommath/bn_mp_from_ubin.c delete mode 100644 libtommath/bn_mp_get_bit.c create mode 100644 libtommath/bn_mp_get_i32.c create mode 100644 libtommath/bn_mp_get_i64.c delete mode 100644 libtommath/bn_mp_get_int.c create mode 100644 libtommath/bn_mp_get_l.c create mode 100644 libtommath/bn_mp_get_ll.c delete mode 100644 libtommath/bn_mp_get_long.c delete mode 100644 libtommath/bn_mp_get_long_long.c create mode 100644 libtommath/bn_mp_get_mag_u32.c create mode 100644 libtommath/bn_mp_get_mag_u64.c create mode 100644 libtommath/bn_mp_get_mag_ul.c create mode 100644 libtommath/bn_mp_get_mag_ull.c delete mode 100644 libtommath/bn_mp_import.c create mode 100644 libtommath/bn_mp_incr.c create mode 100644 libtommath/bn_mp_init_i32.c create mode 100644 libtommath/bn_mp_init_i64.c create mode 100644 libtommath/bn_mp_init_l.c create mode 100644 libtommath/bn_mp_init_ll.c delete mode 100644 libtommath/bn_mp_init_set_int.c create mode 100644 libtommath/bn_mp_init_u32.c create mode 100644 libtommath/bn_mp_init_u64.c create mode 100644 libtommath/bn_mp_init_ul.c create mode 100644 libtommath/bn_mp_init_ull.c delete mode 100644 libtommath/bn_mp_invmod_slow.c create mode 100644 libtommath/bn_mp_iseven.c create mode 100644 libtommath/bn_mp_isodd.c delete mode 100644 libtommath/bn_mp_jacobi.c delete mode 100644 libtommath/bn_mp_karatsuba_mul.c delete mode 100644 libtommath/bn_mp_karatsuba_sqr.c create mode 100644 libtommath/bn_mp_log_u32.c delete mode 100644 libtommath/bn_mp_n_root.c delete mode 100644 libtommath/bn_mp_n_root_ex.c create mode 100644 libtommath/bn_mp_pack.c create mode 100644 libtommath/bn_mp_pack_count.c delete mode 100644 libtommath/bn_mp_prime_is_divisible.c create mode 100644 libtommath/bn_mp_prime_rand.c delete mode 100644 libtommath/bn_mp_prime_random_ex.c delete mode 100644 libtommath/bn_mp_read_signed_bin.c delete mode 100644 libtommath/bn_mp_read_unsigned_bin.c create mode 100644 libtommath/bn_mp_root_u32.c create mode 100644 libtommath/bn_mp_sbin_size.c create mode 100644 libtommath/bn_mp_set_i32.c create mode 100644 libtommath/bn_mp_set_i64.c delete mode 100644 libtommath/bn_mp_set_int.c create mode 100644 libtommath/bn_mp_set_l.c create mode 100644 libtommath/bn_mp_set_ll.c delete mode 100644 libtommath/bn_mp_set_long.c delete mode 100644 libtommath/bn_mp_set_long_long.c create mode 100644 libtommath/bn_mp_set_u32.c create mode 100644 libtommath/bn_mp_set_u64.c create mode 100644 libtommath/bn_mp_set_ul.c create mode 100644 libtommath/bn_mp_set_ull.c delete mode 100644 libtommath/bn_mp_signed_bin_size.c create mode 100644 libtommath/bn_mp_signed_rsh.c delete mode 100644 libtommath/bn_mp_tc_and.c delete mode 100644 libtommath/bn_mp_tc_div_2d.c delete mode 100644 libtommath/bn_mp_tc_or.c delete mode 100644 libtommath/bn_mp_tc_xor.c create mode 100644 libtommath/bn_mp_to_radix.c create mode 100644 libtommath/bn_mp_to_sbin.c delete mode 100644 libtommath/bn_mp_to_signed_bin.c delete mode 100644 libtommath/bn_mp_to_signed_bin_n.c create mode 100644 libtommath/bn_mp_to_ubin.c delete mode 100644 libtommath/bn_mp_to_unsigned_bin.c delete mode 100644 libtommath/bn_mp_to_unsigned_bin_n.c delete mode 100644 libtommath/bn_mp_toom_mul.c delete mode 100644 libtommath/bn_mp_toom_sqr.c delete mode 100644 libtommath/bn_mp_toradix.c delete mode 100644 libtommath/bn_mp_toradix_n.c create mode 100644 libtommath/bn_mp_ubin_size.c create mode 100644 libtommath/bn_mp_unpack.c delete mode 100644 libtommath/bn_mp_unsigned_bin_size.c delete mode 100644 libtommath/bn_reverse.c create mode 100644 libtommath/bn_s_mp_balance_mul.c create mode 100644 libtommath/bn_s_mp_exptmod_fast.c create mode 100644 libtommath/bn_s_mp_get_bit.c create mode 100644 libtommath/bn_s_mp_invmod_fast.c create mode 100644 libtommath/bn_s_mp_invmod_slow.c create mode 100644 libtommath/bn_s_mp_karatsuba_mul.c create mode 100644 libtommath/bn_s_mp_karatsuba_sqr.c create mode 100644 libtommath/bn_s_mp_montgomery_reduce_fast.c create mode 100644 libtommath/bn_s_mp_mul_digs_fast.c create mode 100644 libtommath/bn_s_mp_mul_high_digs_fast.c create mode 100644 libtommath/bn_s_mp_prime_is_divisible.c create mode 100644 libtommath/bn_s_mp_rand_jenkins.c create mode 100644 libtommath/bn_s_mp_rand_platform.c create mode 100644 libtommath/bn_s_mp_reverse.c create mode 100644 libtommath/bn_s_mp_sqr_fast.c create mode 100644 libtommath/bn_s_mp_toom_mul.c create mode 100644 libtommath/bn_s_mp_toom_sqr.c delete mode 100644 libtommath/bncore.c delete mode 100644 libtommath/booker.pl delete mode 100644 libtommath/callgraph.txt delete mode 100755 libtommath/dep.pl delete mode 100755 libtommath/filter.pl delete mode 100755 libtommath/genlist.sh delete mode 100644 libtommath/mess.sh delete mode 100755 libtommath/parsenames.pl delete mode 100644 libtommath/poster.out delete mode 100644 libtommath/poster.tex delete mode 100644 libtommath/pretty.build delete mode 100644 libtommath/tommath.out create mode 100644 libtommath/tommath_cutoffs.h delete mode 100755 libtommath/updatemakes.sh (limited to 'libtomcrypt/src') diff --git a/bignum.c b/bignum.c index b3e2b99..0d969d3 100644 --- a/bignum.c +++ b/bignum.c @@ -86,7 +86,7 @@ void m_mp_free_multi(mp_int **mp, ...) void bytes_to_mp(mp_int *mp, const unsigned char* bytes, unsigned int len) { - if (mp_read_unsigned_bin(mp, (unsigned char*)bytes, len) != MP_OKAY) { + if (mp_from_ubin(mp, (unsigned char*)bytes, len) != MP_OKAY) { dropbear_exit("Mem alloc error"); } } diff --git a/buffer.c b/buffer.c index dc8b909..135326f 100644 --- a/buffer.c +++ b/buffer.c @@ -307,18 +307,18 @@ void buf_putbytes(buffer *buf, const unsigned char *bytes, unsigned int len) { /* for our purposes we only need positive (or 0) numbers, so will * fail if we get negative numbers */ void buf_putmpint(buffer* buf, mp_int * mp) { - + size_t written; unsigned int len, pad = 0; TRACE2(("enter buf_putmpint")) dropbear_assert(mp != NULL); - if (SIGN(mp) == MP_NEG) { + if (mp_isneg(mp)) { dropbear_exit("negative bignum"); } /* zero check */ - if (USED(mp) == 1 && DIGIT(mp, 0) == 0) { + if (mp_iszero(mp)) { len = 0; } else { /* SSH spec requires padding for mpints with the MSB set, this code @@ -339,10 +339,10 @@ void buf_putmpint(buffer* buf, mp_int * mp) { if (pad) { buf_putbyte(buf, 0x00); } - if (mp_to_unsigned_bin(mp, buf_getwriteptr(buf, len-pad)) != MP_OKAY) { + if (mp_to_ubin(mp, buf_getwriteptr(buf, len-pad), len-pad, &written) != MP_OKAY) { dropbear_exit("mpint error"); } - buf_incrwritepos(buf, len-pad); + buf_incrwritepos(buf, written); } TRACE2(("leave buf_putmpint")) @@ -370,7 +370,7 @@ int buf_getmpint(buffer* buf, mp_int* mp) { return DROPBEAR_FAILURE; } - if (mp_read_unsigned_bin(mp, buf_getptr(buf, len), len) != MP_OKAY) { + if (mp_from_ubin(mp, buf_getptr(buf, len), len) != MP_OKAY) { return DROPBEAR_FAILURE; } diff --git a/common-kex.c b/common-kex.c index eefac78..a533f5c 100644 --- a/common-kex.c +++ b/common-kex.c @@ -570,9 +570,7 @@ struct kex_dh_param *gen_kexdh_param() { /* read the prime and generator*/ load_dh_p(&dh_p); - if (mp_set_int(&dh_g, DH_G_VAL) != MP_OKAY) { - dropbear_exit("Diffie-Hellman error"); - } + mp_set_ul(&dh_g, DH_G_VAL); /* calculate q = (p-1)/2 */ /* dh_priv is just a temp var here */ diff --git a/configure.ac b/configure.ac index 367a40d..b52999b 100644 --- a/configure.ac +++ b/configure.ac @@ -538,7 +538,7 @@ AC_ARG_ENABLE(bundled-libtom, AC_MSG_NOTICE(Forcing bundled libtom*) else BUNDLED_LIBTOM=0 - AC_CHECK_LIB(tommath, mp_exptmod, LIBTOM_LIBS="-ltommath $LIBTOM_LIBS", + AC_CHECK_LIB(tommath, mp_to_ubin, LIBTOM_LIBS="-ltommath $LIBTOM_LIBS", [AC_MSG_ERROR([Missing system libtommath and --disable-bundled-libtom was specified])] ) AC_CHECK_LIB(tomcrypt, register_cipher, LIBTOM_LIBS="-ltomcrypt $LIBTOM_LIBS", [AC_MSG_ERROR([Missing system libtomcrypt and --disable-bundled-libtom was specified])] ) @@ -546,7 +546,7 @@ AC_ARG_ENABLE(bundled-libtom, ], [ BUNDLED_LIBTOM=0 - AC_CHECK_LIB(tommath, mp_exptmod, LIBTOM_LIBS="-ltommath $LIBTOM_LIBS", BUNDLED_LIBTOM=1) + AC_CHECK_LIB(tommath, mp_to_ubin, LIBTOM_LIBS="-ltommath $LIBTOM_LIBS", BUNDLED_LIBTOM=1) AC_CHECK_LIB(tomcrypt, register_cipher, LIBTOM_LIBS="-ltomcrypt $LIBTOM_LIBS", BUNDLED_LIBTOM=1) ] ) diff --git a/dbmalloc.c b/dbmalloc.c index 8c6701b..e2cdc8f 100644 --- a/dbmalloc.c +++ b/dbmalloc.c @@ -180,3 +180,13 @@ void m_free_direct(void* ptr) { } #endif /* DROPBEAR_TRACKING_MALLOC */ + +void * m_realloc_ltm(void* ptr, size_t oldsize, size_t newsize) { + (void)oldsize; + return m_realloc(ptr, newsize); +} + +void m_free_ltm(void *mem, size_t size) { + (void)size; + m_free_direct(mem); +} diff --git a/dss.c b/dss.c index 6809333..012e72e 100644 --- a/dss.c +++ b/dss.c @@ -284,6 +284,7 @@ void buf_put_dss_sign(buffer* buf, const dropbear_dss_key *key, const buffer *da unsigned char msghash[SHA1_HASH_SIZE]; unsigned int writelen; unsigned int i; + size_t written; DEF_MP_INT(dss_k); DEF_MP_INT(dss_m); DEF_MP_INT(dss_temp1); @@ -340,31 +341,31 @@ void buf_put_dss_sign(buffer* buf, const dropbear_dss_key *key, const buffer *da buf_putstring(buf, SSH_SIGNKEY_DSS, SSH_SIGNKEY_DSS_LEN); buf_putint(buf, 2*SHA1_HASH_SIZE); - writelen = mp_unsigned_bin_size(&dss_r); + writelen = mp_ubin_size(&dss_r); dropbear_assert(writelen <= SHA1_HASH_SIZE); /* need to pad to 160 bits with leading zeros */ for (i = 0; i < SHA1_HASH_SIZE - writelen; i++) { buf_putbyte(buf, 0); } - if (mp_to_unsigned_bin(&dss_r, buf_getwriteptr(buf, writelen)) + if (mp_to_ubin(&dss_r, buf_getwriteptr(buf, writelen), writelen, &written) != MP_OKAY) { dropbear_exit("DSS error"); } mp_clear(&dss_r); - buf_incrwritepos(buf, writelen); + buf_incrwritepos(buf, written); - writelen = mp_unsigned_bin_size(&dss_s); + writelen = mp_ubin_size(&dss_s); dropbear_assert(writelen <= SHA1_HASH_SIZE); /* need to pad to 160 bits with leading zeros */ for (i = 0; i < SHA1_HASH_SIZE - writelen; i++) { buf_putbyte(buf, 0); } - if (mp_to_unsigned_bin(&dss_s, buf_getwriteptr(buf, writelen)) + if (mp_to_ubin(&dss_s, buf_getwriteptr(buf, writelen), writelen, &written) != MP_OKAY) { dropbear_exit("DSS error"); } mp_clear(&dss_s); - buf_incrwritepos(buf, writelen); + buf_incrwritepos(buf, written); mp_clear_multi(&dss_k, &dss_temp1, &dss_temp2, &dss_r, &dss_s, &dss_m, NULL); diff --git a/ecc.c b/ecc.c index c4881d9..eaca65a 100644 --- a/ecc.c +++ b/ecc.c @@ -166,13 +166,13 @@ ecc_key * buf_get_ecc_raw_pubkey(buffer *buf, const struct dropbear_ecc_curve *c key = new_ecc_key(); key->dp = curve->dp; - if (mp_read_unsigned_bin(key->pubkey.x, buf_getptr(buf, size), size) != MP_OKAY) { + if (mp_from_ubin(key->pubkey.x, buf_getptr(buf, size), size) != MP_OKAY) { TRACE(("failed to read x")) goto out; } buf_incrpos(buf, size); - if (mp_read_unsigned_bin(key->pubkey.y, buf_getptr(buf, size), size) != MP_OKAY) { + if (mp_from_ubin(key->pubkey.y, buf_getptr(buf, size), size) != MP_OKAY) { TRACE(("failed to read y")) goto out; } diff --git a/fuzz-common.c b/fuzz-common.c index b1b00f6..c14fa66 100644 --- a/fuzz-common.c +++ b/fuzz-common.c @@ -147,7 +147,7 @@ void fuzz_get_socket_address(int UNUSED(fd), char **local_host, char **local_por void fuzz_fake_send_kexdh_reply(void) { assert(!ses.dh_K); m_mp_alloc_init_multi(&ses.dh_K, NULL); - mp_set_int(ses.dh_K, 12345678); + mp_set_ul(ses.dh_K, 12345678uL); finish_kexhashbuf(); } diff --git a/genrsa.c b/genrsa.c index 39c112e..71a46a6 100644 --- a/genrsa.c +++ b/genrsa.c @@ -53,10 +53,7 @@ dropbear_rsa_key * gen_rsa_priv_key(unsigned int size) { m_mp_alloc_init_multi(&key->e, &key->n, &key->d, &key->p, &key->q, NULL); m_mp_init_multi(&pminus, &lcm, &qminus, NULL); - if (mp_set_int(key->e, RSA_E) != MP_OKAY) { - fprintf(stderr, "RSA generation failed\n"); - exit(1); - } + mp_set_ul(key->e, RSA_E); while (1) { getrsaprime(key->p, &pminus, key->e, size/16); diff --git a/keyimport.c b/keyimport.c index 52ddf6e..2b80770 100644 --- a/keyimport.c +++ b/keyimport.c @@ -867,7 +867,7 @@ static sign_key *openssh_read(const char *filename, const char * UNUSED(passphra goto error; } m_mp_alloc_init_multi((mp_int**)&ecc->k, NULL); - if (mp_read_unsigned_bin(ecc->k, private_key_bytes, private_key_len) + if (mp_from_ubin(ecc->k, private_key_bytes, private_key_len) != MP_OKAY) { errmsg = "Error parsing ECC key"; goto error; @@ -1142,6 +1142,7 @@ static int openssh_write(const char *filename, sign_key *key, unsigned long pubkey_size = 2*curve_size+1; int k_size; int err = 0; + size_t written; /* version. less than 10 bytes */ buf_incrwritepos(seq_buf, @@ -1149,12 +1150,14 @@ static int openssh_write(const char *filename, sign_key *key, buf_putbyte(seq_buf, 1); /* privateKey */ - k_size = mp_unsigned_bin_size((*eck)->k); + k_size = mp_ubin_size((*eck)->k); dropbear_assert(k_size <= curve_size); buf_incrwritepos(seq_buf, ber_write_id_len(buf_getwriteptr(seq_buf, 10), 4, k_size, 0)); - mp_to_unsigned_bin((*eck)->k, buf_getwriteptr(seq_buf, k_size)); - buf_incrwritepos(seq_buf, k_size); + if (mp_to_ubin((*eck)->k, buf_getwriteptr(seq_buf, k_size), k_size, &written) != MP_OKAY) { + dropbear_exit("ECC error"); + } + buf_incrwritepos(seq_buf, written); /* SECGCurveNames */ switch (key->type) diff --git a/libtomcrypt/src/math/ltm_desc.c b/libtomcrypt/src/math/ltm_desc.c index 3e2a0c9..24e8611 100644 --- a/libtomcrypt/src/math/ltm_desc.c +++ b/libtomcrypt/src/math/ltm_desc.c @@ -15,11 +15,14 @@ #include static const struct { - int mpi_code, ltc_code; + mp_err mpi_code; + int ltc_code; } mpi_to_ltc_codes[] = { { MP_OKAY , CRYPT_OK}, { MP_MEM , CRYPT_MEM}, { MP_VAL , CRYPT_INVALID_ARG}, + { MP_ITER , CRYPT_INVALID_PACKET}, + { MP_BUF , CRYPT_BUFFER_OVERFLOW}, }; /** @@ -27,11 +30,11 @@ static const struct { @param err The error to convert @return The equivalent LTC error code or CRYPT_ERROR if none found */ -static int mpi_to_ltc_error(int err) +static int mpi_to_ltc_error(mp_err err) { - int x; + size_t x; - for (x = 0; x < (int)(sizeof(mpi_to_ltc_codes)/sizeof(mpi_to_ltc_codes[0])); x++) { + for (x = 0; x < sizeof(mpi_to_ltc_codes)/sizeof(mpi_to_ltc_codes[0]); x++) { if (err == mpi_to_ltc_codes[x].mpi_code) { return mpi_to_ltc_codes[x].ltc_code; } @@ -39,17 +42,27 @@ static int mpi_to_ltc_error(int err) return CRYPT_ERROR; } -static int init(void **a) +static int init_mpi(void **a) { - int err; - LTC_ARGCHK(a != NULL); *a = XCALLOC(1, sizeof(mp_int)); if (*a == NULL) { return CRYPT_MEM; + } else { + return CRYPT_OK; } +} + +static int init(void **a) +{ + int err; + LTC_ARGCHK(a != NULL); + + if ((err = init_mpi(a)) != CRYPT_OK) { + return err; + } if ((err = mpi_to_ltc_error(mp_init(*a))) != CRYPT_OK) { XFREE(*a); } @@ -79,23 +92,25 @@ static int copy(void *a, void *b) static int init_copy(void **a, void *b) { - if (init(a) != CRYPT_OK) { - return CRYPT_MEM; - } - return copy(b, *a); + int err; + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + if ((err = init_mpi(a)) != CRYPT_OK) return err; + return mpi_to_ltc_error(mp_init_copy(*a, b)); } /* ---- trivial ---- */ static int set_int(void *a, ltc_mp_digit b) { LTC_ARGCHK(a != NULL); - return mpi_to_ltc_error(mp_set_int(a, b)); + mp_set_u32(a, b); + return CRYPT_OK; } static unsigned long get_int(void *a) { LTC_ARGCHK(a != NULL); - return mp_get_int(a); + return mp_get_ul(a); } static ltc_mp_digit get_digit(void *a, int n) @@ -116,11 +131,9 @@ static int get_digit_count(void *a) static int compare(void *a, void *b) { - int ret; LTC_ARGCHK(a != NULL); LTC_ARGCHK(b != NULL); - ret = mp_cmp(a, b); - switch (ret) { + switch (mp_cmp(a, b)) { case MP_LT: return LTC_MP_LT; case MP_EQ: return LTC_MP_EQ; case MP_GT: return LTC_MP_GT; @@ -130,10 +143,8 @@ static int compare(void *a, void *b) static int compare_d(void *a, ltc_mp_digit b) { - int ret; LTC_ARGCHK(a != NULL); - ret = mp_cmp_d(a, b); - switch (ret) { + switch (mp_cmp_d(a, b)) { case MP_LT: return LTC_MP_LT; case MP_EQ: return LTC_MP_EQ; case MP_GT: return LTC_MP_GT; @@ -175,14 +186,14 @@ static int write_radix(void *a, char *b, int radix) { LTC_ARGCHK(a != NULL); LTC_ARGCHK(b != NULL); - return mpi_to_ltc_error(mp_toradix(a, b, radix)); + return mpi_to_ltc_error(mp_to_radix(a, b, SIZE_MAX, NULL, radix)); } /* get size as unsigned char string */ static unsigned long unsigned_size(void *a) { LTC_ARGCHK(a != NULL); - return mp_unsigned_bin_size(a); + return (unsigned long)mp_ubin_size(a); } /* store */ @@ -190,7 +201,7 @@ static int unsigned_write(void *a, unsigned char *b) { LTC_ARGCHK(a != NULL); LTC_ARGCHK(b != NULL); - return mpi_to_ltc_error(mp_to_unsigned_bin(a, b)); + return mpi_to_ltc_error(mp_to_ubin(a, b, SIZE_MAX, NULL)); } /* read */ @@ -198,7 +209,7 @@ static int unsigned_read(void *a, unsigned char *b, unsigned long len) { LTC_ARGCHK(a != NULL); LTC_ARGCHK(b != NULL); - return mpi_to_ltc_error(mp_read_unsigned_bin(a, b, len)); + return mpi_to_ltc_error(mp_from_ubin(a, b, (size_t)len)); } /* add */ @@ -403,9 +414,7 @@ static int isprime(void *a, int b, int *c) int err; LTC_ARGCHK(a != NULL); LTC_ARGCHK(c != NULL); - if (b == 0) { - b = LTC_MILLER_RABIN_REPS; - } /* if */ + b = mp_prime_rabin_miller_trials(mp_count_bits(a)); err = mpi_to_ltc_error(mp_prime_is_prime(a, b, c)); *c = (*c == MP_YES) ? LTC_MP_YES : LTC_MP_NO; return err; @@ -420,7 +429,7 @@ static int set_rand(void *a, int size) const ltc_math_descriptor ltm_desc = { "LibTomMath", - (int)DIGIT_BIT, + (int)MP_DIGIT_BIT, &init, &init_copy, diff --git a/libtommath/Makefile.in b/libtommath/Makefile.in index b7a3561..556adfc 100644 --- a/libtommath/Makefile.in +++ b/libtommath/Makefile.in @@ -7,6 +7,9 @@ srcdir=@srcdir@ # So that libtommath can include Dropbear headers for options and m_burn() CFLAGS += -I$(srcdir) -I../libtomcrypt/src/headers/ -I$(srcdir)/../libtomcrypt/src/headers/ -I../ -I$(srcdir)/../ +CFLAGS += -Wno-deprecated + +V = 1 ifeq ($V,1) silent= @@ -23,46 +26,46 @@ coverage: LIBNAME:=-Wl,--whole-archive $(LIBNAME) -Wl,--no-whole-archive include $(srcdir)/makefile_include.mk -%.o: %.c +%.o: %.c $(HEADERS) ifneq ($V,1) @echo " * ${CC} $@" endif - ${silent} ${CC} -c ${CFLAGS} $< -o $@ + ${silent} ${CC} -c ${LTM_CFLAGS} $< -o $@ LCOV_ARGS=--directory . #START_INS -OBJECTS=bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ -bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_complement.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div.o \ -bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o \ -bn_mp_dr_setup.o bn_mp_exch.o bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o \ -bn_mp_exptmod_fast.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_bit.o \ -bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o bn_mp_grow.o bn_mp_import.o bn_mp_init.o \ -bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o bn_mp_init_set_int.o bn_mp_init_size.o \ -bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o bn_mp_jacobi.o bn_mp_karatsuba_mul.o \ -bn_mp_karatsuba_sqr.o bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \ -bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o bn_mp_montgomery_setup.o bn_mp_mul.o \ -bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_neg.o \ -bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_divisible.o \ +OBJECTS=bn_cutoffs.o bn_deprecated.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o bn_mp_addmod.o \ +bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o bn_mp_cmp_mag.o \ +bn_mp_cnt_lsb.o bn_mp_complement.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_decr.o bn_mp_div.o bn_mp_div_2.o \ +bn_mp_div_2d.o bn_mp_div_3.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o \ +bn_mp_error_to_string.o bn_mp_exch.o bn_mp_expt_u32.o bn_mp_exptmod.o bn_mp_exteuclid.o bn_mp_fread.o \ +bn_mp_from_sbin.o bn_mp_from_ubin.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_i32.o bn_mp_get_i64.o \ +bn_mp_get_l.o bn_mp_get_ll.o bn_mp_get_mag_u32.o bn_mp_get_mag_u64.o bn_mp_get_mag_ul.o \ +bn_mp_get_mag_ull.o bn_mp_grow.o bn_mp_incr.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_i32.o \ +bn_mp_init_i64.o bn_mp_init_l.o bn_mp_init_ll.o bn_mp_init_multi.o bn_mp_init_set.o bn_mp_init_size.o \ +bn_mp_init_u32.o bn_mp_init_u64.o bn_mp_init_ul.o bn_mp_init_ull.o bn_mp_invmod.o bn_mp_is_square.o \ +bn_mp_iseven.o bn_mp_isodd.o bn_mp_kronecker.o bn_mp_lcm.o bn_mp_log_u32.o bn_mp_lshd.o bn_mp_mod.o \ +bn_mp_mod_2d.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_or.o bn_mp_pack.o bn_mp_pack_count.o bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o \ bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ -bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_prime_strong_lucas_selfridge.o \ -bn_mp_radix_size.o bn_mp_radix_smap.o bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o \ -bn_mp_read_unsigned_bin.o bn_mp_reduce.o bn_mp_reduce_2k.o bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_setup_l.o bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o \ -bn_mp_set.o bn_mp_set_int.o bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o \ -bn_mp_sqr.o bn_mp_sqrmod.o bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o \ -bn_mp_tc_and.o bn_mp_tc_div_2d.o bn_mp_tc_or.o bn_mp_tc_xor.o bn_mp_to_signed_bin.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_toom_mul.o \ -bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ -bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ -bn_s_mp_sqr.o bn_s_mp_sub.o bncore.o +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_rand.o bn_mp_prime_strong_lucas_selfridge.o \ +bn_mp_radix_size.o bn_mp_radix_smap.o bn_mp_rand.o bn_mp_read_radix.o bn_mp_reduce.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce_is_2k.o \ +bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_root_u32.o bn_mp_rshd.o bn_mp_sbin_size.o bn_mp_set.o \ +bn_mp_set_i32.o bn_mp_set_i64.o bn_mp_set_l.o bn_mp_set_ll.o bn_mp_set_u32.o bn_mp_set_u64.o \ +bn_mp_set_ul.o bn_mp_set_ull.o bn_mp_shrink.o bn_mp_signed_rsh.o bn_mp_sqr.o bn_mp_sqrmod.o bn_mp_sqrt.o \ +bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_to_radix.o bn_mp_to_sbin.o \ +bn_mp_to_ubin.o bn_mp_ubin_size.o bn_mp_unpack.o bn_mp_xor.o bn_mp_zero.o bn_prime_tab.o bn_s_mp_add.o \ +bn_s_mp_balance_mul.o bn_s_mp_exptmod.o bn_s_mp_exptmod_fast.o bn_s_mp_get_bit.o bn_s_mp_invmod_fast.o \ +bn_s_mp_invmod_slow.o bn_s_mp_karatsuba_mul.o bn_s_mp_karatsuba_sqr.o bn_s_mp_montgomery_reduce_fast.o \ +bn_s_mp_mul_digs.o bn_s_mp_mul_digs_fast.o bn_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs_fast.o \ +bn_s_mp_prime_is_divisible.o bn_s_mp_rand_jenkins.o bn_s_mp_rand_platform.o bn_s_mp_reverse.o \ +bn_s_mp_sqr.o bn_s_mp_sqr_fast.o bn_s_mp_sub.o bn_s_mp_toom_mul.o bn_s_mp_toom_sqr.o #END_INS -$(OBJECTS): $(HEADERS) - $(LIBNAME): $(OBJECTS) $(AR) $(ARFLAGS) $@ $(OBJECTS) $(RANLIB) $@ @@ -82,11 +85,11 @@ profiled: #make a single object profiled library profiled_single: perl gen.pl - $(CC) $(CFLAGS) -fprofile-arcs -DTESTING -c mpi.c -o mpi.o - $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -lgcov -o timing + $(CC) $(LTM_CFLAGS) -fprofile-arcs -DTESTING -c mpi.c -o mpi.o + $(CC) $(LTM_CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -lgcov -o timing ./timing rm -f *.o timing - $(CC) $(CFLAGS) -fbranch-probabilities -DTESTING -c mpi.c -o mpi.o + $(CC) $(LTM_CFLAGS) -fbranch-probabilities -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) $(LIBNAME) mpi.o ranlib $(LIBNAME) @@ -100,30 +103,37 @@ uninstall: rm $(DESTDIR)$(LIBPATH)/$(LIBNAME) rm $(HEADERS_PUB:%=$(DESTDIR)$(INCPATH)/%) -test: $(LIBNAME) demo/demo.o - $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test +test_standalone: test + @echo "test_standalone is deprecated, please use make-target 'test'" + +DEMOS=test mtest_opponent -test_standalone: $(LIBNAME) demo/demo.o - $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test +define DEMO_template +$(1): demo/$(1).o demo/shared.o $$(LIBNAME) + $$(CC) $$(LTM_CFLAGS) $$(LTM_LFLAGS) $$^ -o $$@ +endef + +$(foreach demo, $(strip $(DEMOS)), $(eval $(call DEMO_template,$(demo)))) .PHONY: mtest mtest: - cd mtest ; $(CC) $(CFLAGS) -O0 mtest.c $(LFLAGS) -o mtest + cd mtest ; $(CC) $(LTM_CFLAGS) -O0 mtest.c $(LTM_LFLAGS) -o mtest timing: $(LIBNAME) demo/timing.c - $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) $(LFLAGS) -o timing + $(CC) $(LTM_CFLAGS) -DTIMER demo/timing.c $(LIBNAME) $(LTM_LFLAGS) -o timing + +tune: $(LIBNAME) + $(MAKE) -C etc tune CFLAGS="$(LTM_CFLAGS)" + $(MAKE) # You have to create a file .coveralls.yml with the content "repo_token: " # in the base folder to be able to submit to coveralls coveralls: lcov coveralls-lcov -docdvi poster docs mandvi manual: +docs manual: $(MAKE) -C doc/ $@ V=$(V) -pretty: - perl pretty.build - .PHONY: pre_gen pre_gen: mkdir -p pre_gen @@ -131,7 +141,7 @@ pre_gen: sed -e 's/[[:blank:]]*$$//' mpi.c > pre_gen/mpi.c rm mpi.c -zipup: clean astyle new_file manual poster docs +zipup: clean astyle new_file docs @# Update the index, so diff-index won't fail in case the pdf has been created. @# As the pdf creation modifies the tex files, git sometimes detects the @# modified files, but misses that it's put back to its original version. @@ -143,22 +153,21 @@ zipup: clean astyle new_file manual poster docs @echo 'fixme check' -@(find libtommath-$(VERSION)/ -type f | xargs grep 'FIXM[E]') && echo '############## BEWARE: the "fixme" marker was found !!! ##############' || true mkdir -p libtommath-$(VERSION)/doc - cp doc/bn.pdf doc/tommath.pdf doc/poster.pdf libtommath-$(VERSION)/doc/ + cp doc/bn.pdf libtommath-$(VERSION)/doc/ $(MAKE) -C libtommath-$(VERSION)/ pre_gen tar -c libtommath-$(VERSION)/ | xz -6e -c - > ltm-$(VERSION).tar.xz zip -9rq ltm-$(VERSION).zip libtommath-$(VERSION) cp doc/bn.pdf bn-$(VERSION).pdf - cp doc/tommath.pdf tommath-$(VERSION).pdf rm -rf libtommath-$(VERSION) gpg -b -a ltm-$(VERSION).tar.xz gpg -b -a ltm-$(VERSION).zip new_file: - bash updatemakes.sh - perl dep.pl + perl helper.pl --update-files perlcritic: perlcritic *.pl doc/*.pl astyle: - astyle --options=astylerc $(OBJECTS:.o=.c) tommath*.h demo/*.c etc/*.c mtest/mtest.c + @echo " * run astyle on all sources" + @astyle --options=astylerc --formatted $(OBJECTS:.o=.c) tommath*.h demo/*.c etc/*.c mtest/mtest.c diff --git a/libtommath/README.md b/libtommath/README.md index 0e57a4d..be5b207 100644 --- a/libtommath/README.md +++ b/libtommath/README.md @@ -4,22 +4,41 @@ This is the git repository for [LibTomMath](http://www.libtom.net/LibTomMath/), ## Build Status +### Travis CI + master: [![Build Status](https://api.travis-ci.org/libtom/libtommath.png?branch=master)](https://travis-ci.org/libtom/libtommath) develop: [![Build Status](https://api.travis-ci.org/libtom/libtommath.png?branch=develop)](https://travis-ci.org/libtom/libtommath) +### AppVeyor + +master: [![Build status](https://ci.appveyor.com/api/projects/status/b80lpolw3i8m6hsh/branch/master?svg=true)](https://ci.appveyor.com/project/libtom/libtommath/branch/master) + +develop: [![Build status](https://ci.appveyor.com/api/projects/status/b80lpolw3i8m6hsh/branch/develop?svg=true)](https://ci.appveyor.com/project/libtom/libtommath/branch/develop) + +### ABI Laboratory + API/ABI changes: [check here](https://abi-laboratory.pro/tracker/timeline/libtommath/) ## Summary The `develop` branch contains the in-development version. Stable releases are tagged. -Documentation is built from the LaTeX file `bn.tex`. There is also limited documentation in `tommath.h`. There is also a document, `tommath.pdf`, which describes the goals of the project and many of the algorithms used. +Documentation is built from the LaTeX file `bn.tex`. There is also limited documentation in `tommath.h`. +There is also a document, `tommath.pdf`, which describes the goals of the project and many of the algorithms used. -The project can be build by using `make`. Along with the usual `make`, `make clean` and `make install`, there are several other build targets, see the makefile for details. There are also makefiles for certain specific platforms. +The project can be build by using `make`. Along with the usual `make`, `make clean` and `make install`, +there are several other build targets, see the makefile for details. +There are also makefiles for certain specific platforms. ## Testing Tests are located in `demo/` and can be built in two flavors. -* `make test` creates a test binary that is intended to be run against `mtest`. `mtest` can be built with `make mtest` and test execution is done like `./mtest/mtest | ./test`. `mtest` is creating test vectors using an alternative MPI library and `test` is consuming these vectors to verify correct behavior of ltm -* `make test_standalone` creates a stand-alone test binary that executes several test routines. +* `make test` creates a stand-alone test binary that executes several test routines. +* `make mtest_opponent` creates a test binary that is intended to be run against `mtest`. + `mtest` can be built with `make mtest` and test execution is done like `./mtest/mtest | ./mtest_opponent`. + `mtest` is creating test vectors using an alternative MPI library and `test` is consuming these vectors to verify correct behavior of ltm + +## Building and Installing + +Building is straightforward for GNU Linux only, the section "Building LibTomMath" in the documentation in `doc/bn.pdf` has the details. diff --git a/libtommath/astylerc b/libtommath/astylerc new file mode 100644 index 0000000..c5ff779 --- /dev/null +++ b/libtommath/astylerc @@ -0,0 +1,30 @@ +# Artistic Style, see http://astyle.sourceforge.net/ +# full documentation, see: http://astyle.sourceforge.net/astyle.html +# +# usage: +# astyle --options=astylerc *.[ch] + +# Do not create backup, annonying in the times of git +suffix=none + +## Bracket Style Options +style=kr + +## Tab Options +indent=spaces=3 + +## Bracket Modify Options + +## Indentation Options +min-conditional-indent=0 + +## Padding Options +pad-header +unpad-paren +align-pointer=name + +## Formatting Options +break-after-logical +max-code-length=120 +convert-tabs +mode=c diff --git a/libtommath/bn.tex b/libtommath/bn.tex deleted file mode 100644 index 5804318..0000000 --- a/libtommath/bn.tex +++ /dev/null @@ -1,1913 +0,0 @@ -\documentclass[synpaper]{book} -\usepackage{hyperref} -\usepackage{makeidx} -\usepackage{amssymb} -\usepackage{color} -\usepackage{alltt} -\usepackage{graphicx} -\usepackage{layout} -\def\union{\cup} -\def\intersect{\cap} -\def\getsrandom{\stackrel{\rm R}{\gets}} -\def\cross{\times} -\def\cat{\hspace{0.5em} \| \hspace{0.5em}} -\def\catn{$\|$} -\def\divides{\hspace{0.3em} | \hspace{0.3em}} -\def\nequiv{\not\equiv} -\def\approx{\raisebox{0.2ex}{\mbox{\small $\sim$}}} -\def\lcm{{\rm lcm}} -\def\gcd{{\rm gcd}} -\def\log{{\rm log}} -\def\ord{{\rm ord}} -\def\abs{{\mathit abs}} -\def\rep{{\mathit rep}} -\def\mod{{\mathit\ mod\ }} -\renewcommand{\pmod}[1]{\ ({\rm mod\ }{#1})} -\newcommand{\floor}[1]{\left\lfloor{#1}\right\rfloor} -\newcommand{\ceil}[1]{\left\lceil{#1}\right\rceil} -\def\Or{{\rm\ or\ }} -\def\And{{\rm\ and\ }} -\def\iff{\hspace{1em}\Longleftrightarrow\hspace{1em}} -\def\implies{\Rightarrow} -\def\undefined{{\rm ``undefined"}} -\def\Proof{\vspace{1ex}\noindent {\bf Proof:}\hspace{1em}} -\let\oldphi\phi -\def\phi{\varphi} -\def\Pr{{\rm Pr}} -\newcommand{\str}[1]{{\mathbf{#1}}} -\def\F{{\mathbb F}} -\def\N{{\mathbb N}} -\def\Z{{\mathbb Z}} -\def\R{{\mathbb R}} -\def\C{{\mathbb C}} -\def\Q{{\mathbb Q}} -\definecolor{DGray}{gray}{0.5} -\newcommand{\emailaddr}[1]{\mbox{$<${#1}$>$}} -\def\twiddle{\raisebox{0.3ex}{\mbox{\tiny $\sim$}}} -\def\gap{\vspace{0.5ex}} -\makeindex -\begin{document} -\frontmatter -\pagestyle{empty} -\title{LibTomMath User Manual \\ v1.0} -\author{Tom St Denis \\ tstdenis82@gmail.com} -\maketitle -This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been -formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. - -\vspace{10cm} - -\begin{flushright}Open Source. Open Academia. Open Minds. - -\mbox{ } - -Tom St Denis, - -Ontario, Canada -\end{flushright} - -\tableofcontents -\listoffigures -\mainmatter -\pagestyle{headings} -\chapter{Introduction} -\section{What is LibTomMath?} -LibTomMath is a library of source code which provides a series of efficient and carefully written functions for manipulating -large integer numbers. It was written in portable ISO C source code so that it will build on any platform with a conforming -C compiler. - -In a nutshell the library was written from scratch with verbose comments to help instruct computer science students how -to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous -universities, commercial and open source software developers. It has been used on a variety of platforms ranging from -Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. - -\section{License} -As of the v0.25 the library source code has been placed in the public domain with every new release. As of the v0.28 -release the textbook ``Implementing Multiple Precision Arithmetic'' has been placed in the public domain with every new -release as well. This textbook is meant to compliment the project by providing a more solid walkthrough of the development -algorithms used in the library. - -Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the -public domain everyone is entitled to do with them as they see fit. - -\section{Building LibTomMath} - -LibTomMath is meant to be very ``GCC friendly'' as it comes with a makefile well suited for GCC. However, the library will -also build in MSVC, Borland C out of the box. For any other ISO C compiler a makefile will have to be made by the end -developer. - -\subsection{Static Libraries} -To build as a static library for GCC issue the following -\begin{alltt} -make -\end{alltt} - -command. This will build the library and archive the object files in ``libtommath.a''. Now you link against -that and include ``tommath.h'' within your programs. Alternatively to build with MSVC issue the following -\begin{alltt} -nmake -f makefile.msvc -\end{alltt} - -This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC -version 6.00 with service pack 5. - -\subsection{Shared Libraries} -To build as a shared library for GCC issue the following -\begin{alltt} -make -f makefile.shared -\end{alltt} -This requires the ``libtool'' package (common on most Linux/BSD systems). It will build LibTomMath as both shared -and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared -library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally -you use libtool to link your application against the shared object. - -There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires -Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library -``libtommath.dll.a'' can be used to link LibTomMath dynamically to any Windows program using Cygwin. - -\subsection{Testing} -To build the library and the test harness type - -\begin{alltt} -make test -\end{alltt} - -This will build the library, ``test'' and ``mtest/mtest''. The ``test'' program will accept test vectors and verify the -results. ``mtest/mtest'' will generate test vectors using the MPI library by Michael Fromberger\footnote{A copy of MPI -is included in the package}. Simply pipe mtest into test using - -\begin{alltt} -mtest/mtest | test -\end{alltt} - -If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into -mtest. For example, if your PRNG program is called ``myprng'' simply invoke - -\begin{alltt} -myprng | mtest/mtest | test -\end{alltt} - -This will output a row of numbers that are increasing. Each column is a different test (such as addition, multiplication, etc) -that is being performed. The numbers represent how many times the test was invoked. If an error is detected the program -will exit with a dump of the relevent numbers it was working with. - -\section{Build Configuration} -LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. -Each phase changes how the library is built and they are applied one after another respectively. - -To make the system more powerful you can tweak the build process. Classes are defined in the file -``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply -instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you -access to every function LibTomMath offers. - -However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You -don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is -another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional -classes can be defined base on the need of the user. - -\subsection{Build Depends} -In the file tommath\_class.h you will see a large list of C ``defines'' followed by a series of ``ifdefs'' -which further define symbols. All of the symbols (technically they're macros $\ldots$) represent a given C source -file. For instance, BN\_MP\_ADD\_C represents the file ``bn\_mp\_add.c''. When a define has been enabled the -function in the respective file will be compiled and linked into the library. Accordingly when the define -is absent the file will not be compiled and not contribute any size to the library. - -You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). -This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. -This is useful for ``trims''. - -\subsection{Build Tweaks} -A tweak is an algorithm ``alternative''. For example, to provide tradeoffs (usually between size and space). -They can be enabled at any pass of the configuration phase. - -\begin{small} -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Define} & \textbf{Purpose} \\ -\hline BN\_MP\_DIV\_SMALL & Enables a slower, smaller and equally \\ - & functional mp\_div() function \\ -\hline -\end{tabular} -\end{center} -\end{small} - -\subsection{Build Trims} -A trim is a manner of removing functionality from a function that is not required. For instance, to perform -RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. -Build trims are meant to be defined on the last pass of the configuration which means they are to be defined -only if LTM\_LAST has been defined. - -\subsubsection{Moduli Related} -\begin{small} -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Restriction} & \textbf{Undefine} \\ -\hline Exponentiation with odd moduli only & BN\_S\_MP\_EXPTMOD\_C \\ - & BN\_MP\_REDUCE\_C \\ - & BN\_MP\_REDUCE\_SETUP\_C \\ - & BN\_S\_MP\_MUL\_HIGH\_DIGS\_C \\ - & BN\_FAST\_S\_MP\_MUL\_HIGH\_DIGS\_C \\ -\hline Exponentiation with random odd moduli & (The above plus the following) \\ - & BN\_MP\_REDUCE\_2K\_C \\ - & BN\_MP\_REDUCE\_2K\_SETUP\_C \\ - & BN\_MP\_REDUCE\_IS\_2K\_C \\ - & BN\_MP\_DR\_IS\_MODULUS\_C \\ - & BN\_MP\_DR\_REDUCE\_C \\ - & BN\_MP\_DR\_SETUP\_C \\ -\hline Modular inverse odd moduli only & BN\_MP\_INVMOD\_SLOW\_C \\ -\hline Modular inverse (both, smaller/slower) & BN\_FAST\_MP\_INVMOD\_C \\ -\hline -\end{tabular} -\end{center} -\end{small} - -\subsubsection{Operand Size Related} -\begin{small} -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Restriction} & \textbf{Undefine} \\ -\hline Moduli $\le 2560$ bits & BN\_MP\_MONTGOMERY\_REDUCE\_C \\ - & BN\_S\_MP\_MUL\_DIGS\_C \\ - & BN\_S\_MP\_MUL\_HIGH\_DIGS\_C \\ - & BN\_S\_MP\_SQR\_C \\ -\hline Polynomial Schmolynomial & BN\_MP\_KARATSUBA\_MUL\_C \\ - & BN\_MP\_KARATSUBA\_SQR\_C \\ - & BN\_MP\_TOOM\_MUL\_C \\ - & BN\_MP\_TOOM\_SQR\_C \\ - -\hline -\end{tabular} -\end{center} -\end{small} - - -\section{Purpose of LibTomMath} -Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with -bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the -source code public domain (unlike various other GPL/etc licensed code), not only is the code freely downloadable but the -source code is also accessible for computer science students attempting to learn ``BigNum'' or multiple precision -arithmetic techniques. - -LibTomMath was written to be an instructive collection of source code. This is why there are many comments, only one -function per source file and often I use a ``middle-road'' approach where I don't cut corners for an extra 2\% speed -increase. - -Source code alone cannot really teach how the algorithms work which is why I also wrote a textbook that accompanies -the library (beat that!). - -So you may be thinking ``should I use LibTomMath?'' and the answer is a definite maybe. Let me tabulate what I think -are the pros and cons of LibTomMath by comparing it to the math routines from GnuPG\footnote{GnuPG v1.2.3 versus LibTomMath v0.28}. - -\newpage\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|l|c|c|l|} -\hline \textbf{Criteria} & \textbf{Pro} & \textbf{Con} & \textbf{Notes} \\ -\hline Few lines of code per file & X & & GnuPG $ = 300.9$, LibTomMath $ = 71.97$ \\ -\hline Commented function prototypes & X && GnuPG function names are cryptic. \\ -\hline Speed && X & LibTomMath is slower. \\ -\hline Totally free & X & & GPL has unfavourable restrictions.\\ -\hline Large function base & X & & GnuPG is barebones. \\ -\hline Five modular reduction algorithms & X & & Faster modular exponentiation for a variety of moduli. \\ -\hline Portable & X & & GnuPG requires configuration to build. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{LibTomMath Valuation} -\end{figure} - -It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. -However, LibTomMath was written with cryptography in mind. It provides essentially all of the functions a cryptosystem -would require when working with large integers. - -So it may feel tempting to just rip the math code out of GnuPG (or GnuMP where it was taken from originally) in your -own application but I think there are reasons not to. While LibTomMath is slower than libraries such as GnuMP it is -not normally significantly slower. On x86 machines the difference is normally a factor of two when performing modular -exponentiations. It depends largely on the processor, compiler and the moduli being used. - -Essentially the only time you wouldn't use LibTomMath is when blazing speed is the primary concern. However, -on the other side of the coin LibTomMath offers you a totally free (public domain) well structured math library -that is very flexible, complete and performs well in resource contrained environments. Fast RSA for example can -be performed with as little as 8KB of ram for data (again depending on build options). - -\chapter{Getting Started with LibTomMath} -\section{Building Programs} -In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically -libtommath.a). There is no library initialization required and the entire library is thread safe. - -\section{Return Codes} -There are three possible return codes a function may return. - -\index{MP\_OKAY}\index{MP\_YES}\index{MP\_NO}\index{MP\_VAL}\index{MP\_MEM} -\begin{figure}[here!] -\begin{center} -\begin{small} -\begin{tabular}{|l|l|} -\hline \textbf{Code} & \textbf{Meaning} \\ -\hline MP\_OKAY & The function succeeded. \\ -\hline MP\_VAL & The function input was invalid. \\ -\hline MP\_MEM & Heap memory exhausted. \\ -\hline &\\ -\hline MP\_YES & Response is yes. \\ -\hline MP\_NO & Response is no. \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Return Codes} -\end{figure} - -The last two codes listed are not actually ``return'ed'' by a function. They are placed in an integer (the caller must -provide the address of an integer it can store to) which the caller can access. To convert one of the three return codes -to a string use the following function. - -\index{mp\_error\_to\_string} -\begin{alltt} -char *mp_error_to_string(int code); -\end{alltt} - -This will return a pointer to a string which describes the given error code. It will not work for the return codes -MP\_YES and MP\_NO. - -\section{Data Types} -The basic ``multiple precision integer'' type is known as the ``mp\_int'' within LibTomMath. This data type is used to -organize all of the data required to manipulate the integer it represents. Within LibTomMath it has been prototyped -as the following. - -\index{mp\_int} -\begin{alltt} -typedef struct \{ - int used, alloc, sign; - mp_digit *dp; -\} mp_int; -\end{alltt} - -Where ``mp\_digit'' is a data type that represents individual digits of the integer. By default, an mp\_digit is the -ISO C ``unsigned long'' data type and each digit is $28-$bits long. The mp\_digit type can be configured to suit other -platforms by defining the appropriate macros. - -All LTM functions that use the mp\_int type will expect a pointer to mp\_int structure. You must allocate memory to -hold the structure itself by yourself (whether off stack or heap it doesn't matter). The very first thing that must be -done to use an mp\_int is that it must be initialized. - -\section{Function Organization} - -The arithmetic functions of the library are all organized to have the same style prototype. That is source operands -are passed on the left and the destination is on the right. For instance, - -\begin{alltt} -mp_add(&a, &b, &c); /* c = a + b */ -mp_mul(&a, &a, &c); /* c = a * a */ -mp_div(&a, &b, &c, &d); /* c = [a/b], d = a mod b */ -\end{alltt} - -Another feature of the way the functions have been implemented is that source operands can be destination operands as well. -For instance, - -\begin{alltt} -mp_add(&a, &b, &b); /* b = a + b */ -mp_div(&a, &b, &a, &c); /* a = [a/b], c = a mod b */ -\end{alltt} - -This allows operands to be re-used which can make programming simpler. - -\section{Initialization} -\subsection{Single Initialization} -A single mp\_int can be initialized with the ``mp\_init'' function. - -\index{mp\_init} -\begin{alltt} -int mp_init (mp_int * a); -\end{alltt} - -This function expects a pointer to an mp\_int structure and will initialize the members of the structure so the mp\_int -represents the default integer which is zero. If the functions returns MP\_OKAY then the mp\_int is ready to be used -by the other LibTomMath functions. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number */ - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Single Free} -When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function -provides this functionality. - -\index{mp\_clear} -\begin{alltt} -void mp_clear (mp_int * a); -\end{alltt} - -The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the -pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. -Is is legal to call mp\_clear() twice on the same mp\_int in a row. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number */ - - /* We're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Multiple Initializations} -Certain algorithms require more than one large integer. In these instances it is ideal to initialize all of the mp\_int -variables in an ``all or nothing'' fashion. That is, they are either all initialized successfully or they are all -not initialized. - -The mp\_init\_multi() function provides this functionality. - -\index{mp\_init\_multi} \index{mp\_clear\_multi} -\begin{alltt} -int mp_init_multi(mp_int *mp, ...); -\end{alltt} - -It accepts a \textbf{NULL} terminated list of pointers to mp\_int structures. It will attempt to initialize them all -at once. If the function returns MP\_OKAY then all of the mp\_int variables are ready to use, otherwise none of them -are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd -from the heap at the same time. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int num1, num2, num3; - int result; - - if ((result = mp_init_multi(&num1, - &num2, - &num3, NULL)) != MP\_OKAY) \{ - printf("Error initializing the numbers. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the numbers */ - - /* We're done with them. */ - mp_clear_multi(&num1, &num2, &num3, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Other Initializers} -To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. - -\index{mp\_init\_copy} -\begin{alltt} -int mp_init_copy (mp_int * a, mp_int * b); -\end{alltt} - -This function will initialize $a$ and make it a copy of $b$ if all goes well. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int num1, num2; - int result; - - /* initialize and do work on num1 ... */ - - /* We want a copy of num1 in num2 now */ - if ((result = mp_init_copy(&num2, &num1)) != MP_OKAY) \{ - printf("Error initializing the copy. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now num2 is ready and contains a copy of num1 */ - - /* We're done with them. */ - mp_clear_multi(&num1, &num2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -Another less common initializer is mp\_init\_size() which allows the user to initialize an mp\_int with a given -default number of digits. By default, all initializers allocate \textbf{MP\_PREC} digits. This function lets -you override this behaviour. - -\index{mp\_init\_size} -\begin{alltt} -int mp_init_size (mp_int * a, int size); -\end{alltt} - -The $size$ parameter must be greater than zero. If the function succeeds the mp\_int $a$ will be initialized -to have $size$ digits (which are all initially zero). - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - /* we need a 60-digit number */ - if ((result = mp_init_size(&number, 60)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number */ - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\section{Maintenance Functions} - -\subsection{Reducing Memory Usage} -When an mp\_int is in a state where it won't be changed again\footnote{A Diffie-Hellman modulus for instance.} excess -digits can be removed to return memory to the heap with the mp\_shrink() function. - -\index{mp\_shrink} -\begin{alltt} -int mp_shrink (mp_int * a); -\end{alltt} - -This will remove excess digits of the mp\_int $a$. If the operation fails the mp\_int should be intact without the -excess digits being removed. Note that you can use a shrunk mp\_int in further computations, however, such operations -will require heap operations which can be slow. It is not ideal to shrink mp\_int variables that you will further -modify in the system (unless you are seriously low on memory). - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number [e.g. pre-computation] */ - - /* We're done with it for now. */ - if ((result = mp_shrink(&number)) != MP_OKAY) \{ - printf("Error shrinking the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use it .... */ - - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Adding additional digits} - -Within the mp\_int structure are two parameters which control the limitations of the array of digits that represent -the integer the mp\_int is meant to equal. The \textit{used} parameter dictates how many digits are significant, that is, -contribute to the value of the mp\_int. The \textit{alloc} parameter dictates how many digits are currently available in -the array. If you need to perform an operation that requires more digits you will have to mp\_grow() the mp\_int to -your desired size. - -\index{mp\_grow} -\begin{alltt} -int mp_grow (mp_int * a, int size); -\end{alltt} - -This will grow the array of digits of $a$ to $size$. If the \textit{alloc} parameter is already bigger than -$size$ the function will not do anything. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number */ - - /* We need to add 20 digits to the number */ - if ((result = mp_grow(&number, number.alloc + 20)) != MP_OKAY) \{ - printf("Error growing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - - /* use the number */ - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\chapter{Basic Operations} -\section{Small Constants} -Setting mp\_ints to small constants is a relatively common operation. To accomodate these instances there are two -small constant assignment functions. The first function is used to set a single digit constant while the second sets -an ISO C style ``unsigned long'' constant. The reason for both functions is efficiency. Setting a single digit is quick but the -domain of a digit can change (it's always at least $0 \ldots 127$). - -\subsection{Single Digit} - -Setting a single digit can be accomplished with the following function. - -\index{mp\_set} -\begin{alltt} -void mp_set (mp_int * a, mp_digit b); -\end{alltt} - -This will zero the contents of $a$ and make it represent an integer equal to the value of $b$. Note that this -function has a return type of \textbf{void}. It cannot cause an error so it is safe to assume the function -succeeded. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number to 5 */ - mp_set(&number, 5); - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Long Constants} - -To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function -can be used. - -\index{mp\_set\_int} -\begin{alltt} -int mp_set_int (mp_int * a, unsigned long b); -\end{alltt} - -This will assign the value of the 32-bit variable $b$ to the mp\_int $a$. Unlike mp\_set() this function will always -accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits -this function can fail if it runs out of heap memory. - -To get the ``unsigned long'' copy of an mp\_int the following function can be used. - -\index{mp\_get\_int} -\begin{alltt} -unsigned long mp_get_int (mp_int * a); -\end{alltt} - -This will return the 32 least significant bits of the mp\_int $a$. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number to 654321 (note this is bigger than 127) */ - if ((result = mp_set_int(&number, 654321)) != MP_OKAY) \{ - printf("Error setting the value of the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - printf("number == \%lu", mp_get_int(&number)); - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -This should output the following if the program succeeds. - -\begin{alltt} -number == 654321 -\end{alltt} - -\subsection{Long Constants - platform dependant} - -\index{mp\_set\_long} -\begin{alltt} -int mp_set_long (mp_int * a, unsigned long b); -\end{alltt} - -This will assign the value of the platform-dependant sized variable $b$ to the mp\_int $a$. - -To get the ``unsigned long'' copy of an mp\_int the following function can be used. - -\index{mp\_get\_long} -\begin{alltt} -unsigned long mp_get_long (mp_int * a); -\end{alltt} - -This will return the least significant bits of the mp\_int $a$ that fit into an ``unsigned long''. - -\subsection{Long Long Constants} - -\index{mp\_set\_long\_long} -\begin{alltt} -int mp_set_long_long (mp_int * a, unsigned long long b); -\end{alltt} - -This will assign the value of the 64-bit variable $b$ to the mp\_int $a$. - -To get the ``unsigned long long'' copy of an mp\_int the following function can be used. - -\index{mp\_get\_long\_long} -\begin{alltt} -unsigned long long mp_get_long_long (mp_int * a); -\end{alltt} - -This will return the 64 least significant bits of the mp\_int $a$. - -\subsection{Initialize and Setting Constants} -To both initialize and set small constants the following two functions are available. -\index{mp\_init\_set} \index{mp\_init\_set\_int} -\begin{alltt} -int mp_init_set (mp_int * a, mp_digit b); -int mp_init_set_int (mp_int * a, unsigned long b); -\end{alltt} - -Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. - -\begin{alltt} -int main(void) -\{ - mp_int number1, number2; - int result; - - /* initialize and set a single digit */ - if ((result = mp_init_set(&number1, 100)) != MP_OKAY) \{ - printf("Error setting number1: \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* initialize and set a long */ - if ((result = mp_init_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2: \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* display */ - printf("Number1, Number2 == \%lu, \%lu", - mp_get_int(&number1), mp_get_int(&number2)); - - /* clear */ - mp_clear_multi(&number1, &number2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} - -If this program succeeds it shall output. -\begin{alltt} -Number1, Number2 == 100, 1023 -\end{alltt} - -\section{Comparisons} - -Comparisons in LibTomMath are always performed in a ``left to right'' fashion. There are three possible return codes -for any comparison. - -\index{MP\_GT} \index{MP\_EQ} \index{MP\_LT} -\begin{figure}[here] -\begin{center} -\begin{tabular}{|c|c|} -\hline \textbf{Result Code} & \textbf{Meaning} \\ -\hline MP\_GT & $a > b$ \\ -\hline MP\_EQ & $a = b$ \\ -\hline MP\_LT & $a < b$ \\ -\hline -\end{tabular} -\end{center} -\caption{Comparison Codes for $a, b$} -\label{fig:CMP} -\end{figure} - -In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of -$b$. - -\subsection{Unsigned comparison} - -An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the -mp\_int structures. This is analogous to an absolute comparison. The function mp\_cmp\_mag() will compare two -mp\_int variables based on their digits only. - -\index{mp\_cmp\_mag} -\begin{alltt} -int mp_cmp_mag(mp_int * a, mp_int * b); -\end{alltt} -This will compare $a$ to $b$ placing $a$ to the left of $b$. This function cannot fail and will return one of the -three compare codes listed in figure \ref{fig:CMP}. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number1, number2; - int result; - - if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number1 to 5 */ - mp_set(&number1, 5); - - /* set the number2 to -6 */ - mp_set(&number2, 6); - if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - switch(mp_cmp_mag(&number1, &number2)) \{ - case MP_GT: printf("|number1| > |number2|"); break; - case MP_EQ: printf("|number1| = |number2|"); break; - case MP_LT: printf("|number1| < |number2|"); break; - \} - - /* we're done with it. */ - mp_clear_multi(&number1, &number2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes -successfully it should print the following. - -\begin{alltt} -|number1| < |number2| -\end{alltt} - -This is because $\vert -6 \vert = 6$ and obviously $5 < 6$. - -\subsection{Signed comparison} - -To compare two mp\_int variables based on their signed value the mp\_cmp() function is provided. - -\index{mp\_cmp} -\begin{alltt} -int mp_cmp(mp_int * a, mp_int * b); -\end{alltt} - -This will compare $a$ to the left of $b$. It will first compare the signs of the two mp\_int variables. If they -differ it will return immediately based on their signs. If the signs are equal then it will compare the digits -individually. This function will return one of the compare conditions codes listed in figure \ref{fig:CMP}. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number1, number2; - int result; - - if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number1 to 5 */ - mp_set(&number1, 5); - - /* set the number2 to -6 */ - mp_set(&number2, 6); - if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - switch(mp_cmp(&number1, &number2)) \{ - case MP_GT: printf("number1 > number2"); break; - case MP_EQ: printf("number1 = number2"); break; - case MP_LT: printf("number1 < number2"); break; - \} - - /* we're done with it. */ - mp_clear_multi(&number1, &number2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes -successfully it should print the following. - -\begin{alltt} -number1 > number2 -\end{alltt} - -\subsection{Single Digit} - -To compare a single digit against an mp\_int the following function has been provided. - -\index{mp\_cmp\_d} -\begin{alltt} -int mp_cmp_d(mp_int * a, mp_digit b); -\end{alltt} - -This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as -positive. This function is rather handy when you have to compare against small values such as $1$ (which often -comes up in cryptography). The function cannot fail and will return one of the tree compare condition codes -listed in figure \ref{fig:CMP}. - - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number to 5 */ - mp_set(&number, 5); - - switch(mp_cmp_d(&number, 7)) \{ - case MP_GT: printf("number > 7"); break; - case MP_EQ: printf("number = 7"); break; - case MP_LT: printf("number < 7"); break; - \} - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -If this program functions properly it will print out the following. - -\begin{alltt} -number < 7 -\end{alltt} - -\section{Logical Operations} - -Logical operations are operations that can be performed either with simple shifts or boolean operators such as -AND, XOR and OR directly. These operations are very quick. - -\subsection{Multiplication by two} - -Multiplications and divisions by any power of two can be performed with quick logical shifts either left or -right depending on the operation. - -When multiplying or dividing by two a special case routine can be used which are as follows. -\index{mp\_mul\_2} \index{mp\_div\_2} -\begin{alltt} -int mp_mul_2(mp_int * a, mp_int * b); -int mp_div_2(mp_int * a, mp_int * b); -\end{alltt} - -The former will assign twice $a$ to $b$ while the latter will assign half $a$ to $b$. These functions are fast -since the shift counts and maskes are hardcoded into the routines. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number to 5 */ - mp_set(&number, 5); - - /* multiply by two */ - if ((result = mp\_mul\_2(&number, &number)) != MP_OKAY) \{ - printf("Error multiplying the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - switch(mp_cmp_d(&number, 7)) \{ - case MP_GT: printf("2*number > 7"); break; - case MP_EQ: printf("2*number = 7"); break; - case MP_LT: printf("2*number < 7"); break; - \} - - /* now divide by two */ - if ((result = mp\_div\_2(&number, &number)) != MP_OKAY) \{ - printf("Error dividing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - switch(mp_cmp_d(&number, 7)) \{ - case MP_GT: printf("2*number/2 > 7"); break; - case MP_EQ: printf("2*number/2 = 7"); break; - case MP_LT: printf("2*number/2 < 7"); break; - \} - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -If this program is successful it will print out the following text. - -\begin{alltt} -2*number > 7 -2*number/2 < 7 -\end{alltt} - -Since $10 > 7$ and $5 < 7$. - -To multiply by a power of two the following function can be used. - -\index{mp\_mul\_2d} -\begin{alltt} -int mp_mul_2d(mp_int * a, int b, mp_int * c); -\end{alltt} - -This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to -zero the function will copy $a$ to ``c'' without performing any further actions. The multiplication itself -is implemented as a right-shift operation of $a$ by $b$ bits. - -To divide by a power of two use the following. - -\index{mp\_div\_2d} -\begin{alltt} -int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d); -\end{alltt} -Which will divide $a$ by $2^b$, store the quotient in ``c'' and the remainder in ``d'. If $b \le 0$ then the -function simply copies $a$ over to ``c'' and zeroes $d$. The variable $d$ may be passed as a \textbf{NULL} -value to signal that the remainder is not desired. The division itself is implemented as a left-shift -operation of $a$ by $b$ bits. - -\subsection{Polynomial Basis Operations} - -Strictly speaking the organization of the integers within the mp\_int structures is what is known as a -``polynomial basis''. This simply means a field element is stored by divisions of a radix. For example, if -$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be -the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. - -To multiply by the polynomial $g(x) = x$ all you have todo is shift the digits of the basis left one place. The -following function provides this operation. - -\index{mp\_lshd} -\begin{alltt} -int mp_lshd (mp_int * a, int b); -\end{alltt} - -This will multiply $a$ in place by $x^b$ which is equivalent to shifting the digits left $b$ places and inserting zeroes -in the least significant digits. Similarly to divide by a power of $x$ the following function is provided. - -\index{mp\_rshd} -\begin{alltt} -void mp_rshd (mp_int * a, int b) -\end{alltt} -This will divide $a$ in place by $x^b$ and discard the remainder. This function cannot fail as it performs the operations -in place and no new digits are required to complete it. - -\subsection{AND, OR and XOR Operations} - -While AND, OR and XOR operations are not typical ``bignum functions'' they can be useful in several instances. The -three functions are prototyped as follows. - -\index{mp\_or} \index{mp\_and} \index{mp\_xor} -\begin{alltt} -int mp_or (mp_int * a, mp_int * b, mp_int * c); -int mp_and (mp_int * a, mp_int * b, mp_int * c); -int mp_xor (mp_int * a, mp_int * b, mp_int * c); -\end{alltt} - -Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. - -\section{Addition and Subtraction} - -To compute an addition or subtraction the following two functions can be used. - -\index{mp\_add} \index{mp\_sub} -\begin{alltt} -int mp_add (mp_int * a, mp_int * b, mp_int * c); -int mp_sub (mp_int * a, mp_int * b, mp_int * c) -\end{alltt} - -Which perform $c = a \odot b$ where $\odot$ is one of signed addition or subtraction. The operations are fully sign -aware. - -\section{Sign Manipulation} -\subsection{Negation} -\label{sec:NEG} -Simple integer negation can be performed with the following. - -\index{mp\_neg} -\begin{alltt} -int mp_neg (mp_int * a, mp_int * b); -\end{alltt} - -Which assigns $-a$ to $b$. - -\subsection{Absolute} -Simple integer absolutes can be performed with the following. - -\index{mp\_neg} -\begin{alltt} -int mp_abs (mp_int * a, mp_int * b); -\end{alltt} - -Which assigns $\vert a \vert$ to $b$. - -\section{Integer Division and Remainder} -To perform a complete and general integer division with remainder use the following function. - -\index{mp\_div} -\begin{alltt} -int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d); -\end{alltt} - -This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that -$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If -$b$ is zero the function returns \textbf{MP\_VAL}. - - -\chapter{Multiplication and Squaring} -\section{Multiplication} -A full signed integer multiplication can be performed with the following. -\index{mp\_mul} -\begin{alltt} -int mp_mul (mp_int * a, mp_int * b, mp_int * c); -\end{alltt} -Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are -specific multiplication routines optimized for given parameters. First there are the Toom-Cook multiplications which -should only be used with very large inputs. This is followed by the Karatsuba multiplications which are for moderate -sized inputs. Then followed by the Comba and baseline multipliers. - -Fortunately for the developer you don't really need to know this unless you really want to fine tune the system. mp\_mul() -will determine on its own\footnote{Some tweaking may be required.} what routine to use automatically when it is called. - -\begin{alltt} -int main(void) -\{ - mp_int number1, number2; - int result; - - /* Initialize the numbers */ - if ((result = mp_init_multi(&number1, - &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the terms */ - if ((result = mp_set_int(&number, 257)) != MP_OKAY) \{ - printf("Error setting number1. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - if ((result = mp_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* multiply them */ - if ((result = mp_mul(&number1, &number2, - &number1)) != MP_OKAY) \{ - printf("Error multiplying terms. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* display */ - printf("number1 * number2 == \%lu", mp_get_int(&number1)); - - /* free terms and return */ - mp_clear_multi(&number1, &number2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} - -If this program succeeds it shall output the following. - -\begin{alltt} -number1 * number2 == 262911 -\end{alltt} - -\section{Squaring} -Since squaring can be performed faster than multiplication it is performed it's own function instead of just using -mp\_mul(). - -\index{mp\_sqr} -\begin{alltt} -int mp_sqr (mp_int * a, mp_int * b); -\end{alltt} - -Will square $a$ and store it in $b$. Like the case of multiplication there are four different squaring -algorithms all which can be called from mp\_sqr(). It is ideal to use mp\_sqr over mp\_mul when squaring terms because -of the speed difference. - -\section{Tuning Polynomial Basis Routines} - -Both of the Toom-Cook and Karatsuba multiplication algorithms are faster than the traditional $O(n^2)$ approach that -the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require -considerably less work. For example, a 10000-digit multiplication would take roughly 724,000 single precision -multiplications with Toom-Cook or 100,000,000 single precision multiplications with the standard Comba (a factor -of 138). - -So why not always use Karatsuba or Toom-Cook? The simple answer is that they have so much overhead that they're not -actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, -GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at -110 digits Karatsuba and Comba multiplications just about break even and for 110+ digits Karatsuba is faster. - -Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points -exist and for the most part I just set the cutoff points very high to make sure they're not called. - -A demo program in the ``etc/'' directory of the project called ``tune.c'' can be used to find the cutoff points. This -can be built with GCC as follows - -\begin{alltt} -make XXX -\end{alltt} -Where ``XXX'' is one of the following entries from the table \ref{fig:tuning}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|l|l|} -\hline \textbf{Value of XXX} & \textbf{Meaning} \\ -\hline tune & Builds portable tuning application \\ -\hline tune86 & Builds x86 (pentium and up) program for COFF \\ -\hline tune86c & Builds x86 program for Cygwin \\ -\hline tune86l & Builds x86 program for Linux (ELF format) \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Build Names for Tuning Programs} -\label{fig:tuning} -\end{figure} - -When the program is running it will output a series of measurements for different cutoff points. It will first find -good Karatsuba squaring and multiplication points. Then it proceeds to find Toom-Cook points. Note that the Toom-Cook -tuning takes a very long time as the cutoff points are likely to be very high. - -\chapter{Modular Reduction} - -Modular reduction is process of taking the remainder of one quantity divided by another. Expressed -as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. - -\begin{equation} -a \equiv b \mbox{ (mod }c\mbox{)} -\label{eqn:mod} -\end{equation} - -Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly -fast reduction algorithms can be written for the limited range. - -Note that one of the four optimized reduction algorithms are automatically chosen in the modular exponentiation -algorithm mp\_exptmod when an appropriate modulus is detected. - -\section{Straight Division} -In order to effect an arbitrary modular reduction the following algorithm is provided. - -\index{mp\_mod} -\begin{alltt} -int mp_mod(mp_int *a, mp_int *b, mp_int *c); -\end{alltt} - -This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign -of $b$. This algorithm accepts an input $a$ of any range and is not limited by $0 \le a < b^2$. - -\section{Barrett Reduction} - -Barrett reduction is a generic optimized reduction algorithm that requires pre--computation to achieve -a decent speedup over straight division. First a $\mu$ value must be precomputed with the following function. - -\index{mp\_reduce\_setup} -\begin{alltt} -int mp_reduce_setup(mp_int *a, mp_int *b); -\end{alltt} - -Given a modulus in $b$ this produces the required $\mu$ value in $a$. For any given modulus this only has to -be computed once. Modular reduction can now be performed with the following. - -\index{mp\_reduce} -\begin{alltt} -int mp_reduce(mp_int *a, mp_int *b, mp_int *c); -\end{alltt} - -This will reduce $a$ in place modulo $b$ with the precomputed $\mu$ value in $c$. $a$ must be in the range -$0 \le a < b^2$. - -\begin{alltt} -int main(void) -\{ - mp_int a, b, c, mu; - int result; - - /* initialize a,b to desired values, mp_init mu, - * c and set c to 1...we want to compute a^3 mod b - */ - - /* get mu value */ - if ((result = mp_reduce_setup(&mu, b)) != MP_OKAY) \{ - printf("Error getting mu. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* square a to get c = a^2 */ - if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce `c' modulo b */ - if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* multiply a to get c = a^3 */ - if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce `c' modulo b */ - if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* c now equals a^3 mod b */ - - return EXIT_SUCCESS; -\} -\end{alltt} - -This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. - -\section{Montgomery Reduction} - -Montgomery is a specialized reduction algorithm for any odd moduli. Like Barrett reduction a pre--computation -step is required. This is accomplished with the following. - -\index{mp\_montgomery\_setup} -\begin{alltt} -int mp_montgomery_setup(mp_int *a, mp_digit *mp); -\end{alltt} - -For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the -following. - -\index{mp\_montgomery\_reduce} -\begin{alltt} -int mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); -\end{alltt} -This reduces $a$ in place modulo $m$ with the pre--computed value $mp$. $a$ must be in the range -$0 \le a < b^2$. - -Montgomery reduction is faster than Barrett reduction for moduli smaller than the ``comba'' limit. With the default -setup for instance, the limit is $127$ digits ($3556$--bits). Note that this function is not limited to -$127$ digits just that it falls back to a baseline algorithm after that point. - -An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ -where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). - -To quickly calculate $R$ the following function was provided. - -\index{mp\_montgomery\_calc\_normalization} -\begin{alltt} -int mp_montgomery_calc_normalization(mp_int *a, mp_int *b); -\end{alltt} -Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. - -The normal modus operandi for Montgomery reductions is to normalize the integers before entering the system. For -example, to calculate $a^3 \mbox { mod }b$ using Montgomery reduction the value of $a$ can be normalized by -multiplying it by $R$. Consider the following code snippet. - -\begin{alltt} -int main(void) -\{ - mp_int a, b, c, R; - mp_digit mp; - int result; - - /* initialize a,b to desired values, - * mp_init R, c and set c to 1.... - */ - - /* get normalization */ - if ((result = mp_montgomery_calc_normalization(&R, b)) != MP_OKAY) \{ - printf("Error getting norm. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* get mp value */ - if ((result = mp_montgomery_setup(&c, &mp)) != MP_OKAY) \{ - printf("Error setting up montgomery. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* normalize `a' so now a is equal to aR */ - if ((result = mp_mulmod(&a, &R, &b, &a)) != MP_OKAY) \{ - printf("Error computing aR. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* square a to get c = a^2R^2 */ - if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce `c' back down to c = a^2R^2 * R^-1 == a^2R */ - if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* multiply a to get c = a^3R^2 */ - if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce `c' back down to c = a^3R^2 * R^-1 == a^3R */ - if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce (again) `c' back down to c = a^3R * R^-1 == a^3 */ - if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* c now equals a^3 mod b */ - - return EXIT_SUCCESS; -\} -\end{alltt} - -This particular example does not look too efficient but it demonstrates the point of the algorithm. By -normalizing the inputs the reduced results are always of the form $aR$ for some variable $a$. This allows -a single final reduction to correct for the normalization and the fast reduction used within the algorithm. - -For more details consider examining the file \textit{bn\_mp\_exptmod\_fast.c}. - -\section{Restricted Dimminished Radix} - -``Dimminished Radix'' reduction refers to reduction with respect to moduli that are ameniable to simple -digit shifting and small multiplications. In this case the ``restricted'' variant refers to moduli of the -form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). - -As in the case of Montgomery reduction there is a pre--computation phase required for a given modulus. - -\index{mp\_dr\_setup} -\begin{alltt} -void mp_dr_setup(mp_int *a, mp_digit *d); -\end{alltt} - -This computes the value required for the modulus $a$ and stores it in $d$. This function cannot fail -and does not return any error codes. After the pre--computation a reduction can be performed with the -following. - -\index{mp\_dr\_reduce} -\begin{alltt} -int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); -\end{alltt} - -This reduces $a$ in place modulo $b$ with the pre--computed value $mp$. $b$ must be of a restricted -dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are -much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. - -Since the moduli are restricted this algorithm is not particularly useful for something like Rabin, RSA or -BBS cryptographic purposes. This reduction algorithm is useful for Diffie-Hellman and ECC where fixed -primes are acceptable. - -Note that unlike Montgomery reduction there is no normalization process. The result of this function is -equal to the correct residue. - -\section{Unrestricted Dimminshed Radix} - -Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the -form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they -can be applied to a wider range of numbers. - -\index{mp\_reduce\_2k\_setup} -\begin{alltt} -int mp_reduce_2k_setup(mp_int *a, mp_digit *d); -\end{alltt} - -This will compute the required $d$ value for the given moduli $a$. - -\index{mp\_reduce\_2k} -\begin{alltt} -int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); -\end{alltt} - -This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is -slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. - -\chapter{Exponentiation} -\section{Single Digit Exponentiation} -\index{mp\_expt\_d\_ex} -\begin{alltt} -int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) -\end{alltt} -This function computes $c = a^b$. - -With parameter \textit{fast} set to $0$ the old version of the algorithm is used, -when \textit{fast} is $1$, a faster but not statically timed version of the algorithm is used. - -The old version uses a simple binary left-to-right algorithm. -It is faster than repeated multiplications by $a$ for all values of $b$ greater than three. - -The new version uses a binary right-to-left algorithm. - -The difference between the old and the new version is that the old version always -executes $DIGIT\_BIT$ iterations. The new algorithm executes only $n$ iterations -where $n$ is equal to the position of the highest bit that is set in $b$. - -\index{mp\_expt\_d} -\begin{alltt} -int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) -\end{alltt} -mp\_expt\_d(a, b, c) is a wrapper function to mp\_expt\_d\_ex(a, b, c, 0). - -\section{Modular Exponentiation} -\index{mp\_exptmod} -\begin{alltt} -int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) -\end{alltt} -This computes $Y \equiv G^X \mbox{ (mod }P\mbox{)}$ using a variable width sliding window algorithm. This function -will automatically detect the fastest modular reduction technique to use during the operation. For negative values of -$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that -$gcd(G, P) = 1$. - -This function is actually a shell around the two internal exponentiation functions. This routine will automatically -detect when Barrett, Montgomery, Restricted and Unrestricted Dimminished Radix based exponentiation can be used. Generally -moduli of the a ``restricted dimminished radix'' form lead to the fastest modular exponentiations. Followed by Montgomery -and the other two algorithms. - -\section{Root Finding} -\index{mp\_n\_root} -\begin{alltt} -int mp_n_root (mp_int * a, mp_digit b, mp_int * c) -\end{alltt} -This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not -ideal for values of $b$ greater than three. It will work but become very slow. So unless you are working with very small -numbers (less than 1000 bits) I'd avoid $b > 3$ situations. Will return a positive root only for even roots and return -a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ -will return $-2$. - -This algorithm uses the ``Newton Approximation'' method and will converge on the correct root fairly quickly. Since -the algorithm requires raising $a$ to the power of $b$ it is not ideal to attempt to find roots for large -values of $b$. If particularly large roots are required then a factor method could be used instead. For example, -$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply -$\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ - -\chapter{Prime Numbers} -\section{Trial Division} -\index{mp\_prime\_is\_divisible} -\begin{alltt} -int mp_prime_is_divisible (mp_int * a, int *result) -\end{alltt} -This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the -outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that -if the function does not return \textbf{MP\_OKAY} the value in ``result'' should be considered undefined\footnote{Currently -the default is to set it to zero first.}. - -\section{Fermat Test} -\index{mp\_prime\_fermat} -\begin{alltt} -int mp_prime_fermat (mp_int * a, mp_int * b, int *result) -\end{alltt} -Performs a Fermat primality test to the base $b$. That is it computes $b^a \mbox{ mod }a$ and tests whether the value is -equal to $b$ or not. If the values are equal then $a$ is probably prime and $result$ is set to one. Otherwise $result$ -is set to zero. - -\section{Miller-Rabin Test} -\index{mp\_prime\_miller\_rabin} -\begin{alltt} -int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) -\end{alltt} -Performs a Miller-Rabin test to the base $b$ of $a$. This test is much stronger than the Fermat test and is very hard to -fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. -Otherwise $result$ is set to zero. - -Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of -Miller-Rabin are a subset of the failures of the Fermat test. - -\subsection{Required Number of Tests} -Generally to ensure a number is very likely to be prime you have to perform the Miller-Rabin with at least a half-dozen -or so unique bases. However, it has been proven that the probability of failure goes down as the size of the input goes up. -This is why a simple function has been provided to help out. - -\index{mp\_prime\_rabin\_miller\_trials} -\begin{alltt} -int mp_prime_rabin_miller_trials(int size) -\end{alltt} -This returns the number of trials required for a $2^{-96}$ (or lower) probability of failure for a given ``size'' expressed -in bits. This comes in handy specially since larger numbers are slower to test. For example, a 512-bit number would -require ten tests whereas a 1024-bit number would only require four tests. - -You should always still perform a trial division before a Miller-Rabin test though. - -\section{Primality Testing} -\index{mp\_prime\_is\_prime} -\begin{alltt} -int mp_prime_is_prime (mp_int * a, int t, int *result) -\end{alltt} -This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. -If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by -$1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime number table (by default this is $256$). - -\section{Next Prime} -\index{mp\_prime\_next\_prime} -\begin{alltt} -int mp_prime_next_prime(mp_int *a, int t, int bbs_style) -\end{alltt} -This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you -want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. - -\section{Random Primes} -\index{mp\_prime\_random} -\begin{alltt} -int mp_prime_random(mp_int *a, int t, int size, int bbs, - ltm_prime_callback cb, void *dat) -\end{alltt} -This will find a prime greater than $256^{size}$ which can be ``bbs\_style'' or not depending on $bbs$ and must pass -$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for - -\begin{alltt} -typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); -\end{alltt} - -Which is a function that must read $len$ bytes (and return the amount stored) into $dst$. The $dat$ variable is simply -copied from the original input. It can be used to pass RNG context data to the callback. The function -mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there -is no skew on the least significant bits. - -\textit{Note:} As of v0.30 of the LibTomMath library this function has been deprecated. It is still available -but users are encouraged to use the new mp\_prime\_random\_ex() function instead. - -\subsection{Extended Generation} -\index{mp\_prime\_random\_ex} -\begin{alltt} -int mp_prime_random_ex(mp_int *a, int t, - int size, int flags, - ltm_prime_callback cb, void *dat); -\end{alltt} -This will generate a prime in $a$ using $t$ tests of the primality testing algorithms. The variable $size$ -specifies the bit length of the prime desired. The variable $flags$ specifies one of several options available -(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in -mp\_prime\_random(). - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|r|l|} -\hline \textbf{Flag} & \textbf{Meaning} \\ -\hline LTM\_PRIME\_BBS & Make the prime congruent to $3$ modulo $4$ \\ -\hline LTM\_PRIME\_SAFE & Make a prime $p$ such that $(p - 1)/2$ is also prime. \\ - & This option implies LTM\_PRIME\_BBS as well. \\ -\hline LTM\_PRIME\_2MSB\_OFF & Makes sure that the bit adjacent to the most significant bit \\ - & Is forced to zero. \\ -\hline LTM\_PRIME\_2MSB\_ON & Makes sure that the bit adjacent to the most significant bit \\ - & Is forced to one. \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Primality Generation Options} -\label{fig:primeopts} -\end{figure} - -\chapter{Input and Output} -\section{ASCII Conversions} -\subsection{To ASCII} -\index{mp\_toradix} -\begin{alltt} -int mp_toradix (mp_int * a, char *str, int radix); -\end{alltt} -This still store $a$ in ``str'' as a base-``radix'' string of ASCII chars. This function appends a NUL character -to terminate the string. Valid values of ``radix'' line in the range $[2, 64]$. To determine the size (exact) required -by the conversion before storing any data use the following function. - -\index{mp\_radix\_size} -\begin{alltt} -int mp_radix_size (mp_int * a, int radix, int *size) -\end{alltt} -This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this -function returns an error code and ``size'' will be zero. - -\subsection{From ASCII} -\index{mp\_read\_radix} -\begin{alltt} -int mp_read_radix (mp_int * a, char *str, int radix); -\end{alltt} -This will read the base-``radix'' NUL terminated string from ``str'' into $a$. It will stop reading when it reads a -character it does not recognize (which happens to include th NUL char... imagine that...). A single leading $-$ sign -can be used to denote a negative number. - -\section{Binary Conversions} - -Converting an mp\_int to and from binary is another keen idea. - -\index{mp\_unsigned\_bin\_size} -\begin{alltt} -int mp_unsigned_bin_size(mp_int *a); -\end{alltt} - -This will return the number of bytes (octets) required to store the unsigned copy of the integer $a$. - -\index{mp\_to\_unsigned\_bin} -\begin{alltt} -int mp_to_unsigned_bin(mp_int *a, unsigned char *b); -\end{alltt} -This will store $a$ into the buffer $b$ in big--endian format. Fortunately this is exactly what DER (or is it ASN?) -requires. It does not store the sign of the integer. - -\index{mp\_read\_unsigned\_bin} -\begin{alltt} -int mp_read_unsigned_bin(mp_int *a, unsigned char *b, int c); -\end{alltt} -This will read in an unsigned big--endian array of bytes (octets) from $b$ of length $c$ into $a$. The resulting -integer $a$ will always be positive. - -For those who acknowledge the existence of negative numbers (heretic!) there are ``signed'' versions of the -previous functions. - -\begin{alltt} -int mp_signed_bin_size(mp_int *a); -int mp_read_signed_bin(mp_int *a, unsigned char *b, int c); -int mp_to_signed_bin(mp_int *a, unsigned char *b); -\end{alltt} -They operate essentially the same as the unsigned copies except they prefix the data with zero or non--zero -byte depending on the sign. If the sign is zpos (e.g. not negative) the prefix is zero, otherwise the prefix -is non--zero. - -\chapter{Algebraic Functions} -\section{Extended Euclidean Algorithm} -\index{mp\_exteuclid} -\begin{alltt} -int mp_exteuclid(mp_int *a, mp_int *b, - mp_int *U1, mp_int *U2, mp_int *U3); -\end{alltt} - -This finds the triple U1/U2/U3 using the Extended Euclidean algorithm such that the following equation holds. - -\begin{equation} -a \cdot U1 + b \cdot U2 = U3 -\end{equation} - -Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. - -\section{Greatest Common Divisor} -\index{mp\_gcd} -\begin{alltt} -int mp_gcd (mp_int * a, mp_int * b, mp_int * c) -\end{alltt} -This will compute the greatest common divisor of $a$ and $b$ and store it in $c$. - -\section{Least Common Multiple} -\index{mp\_lcm} -\begin{alltt} -int mp_lcm (mp_int * a, mp_int * b, mp_int * c) -\end{alltt} -This will compute the least common multiple of $a$ and $b$ and store it in $c$. - -\section{Jacobi Symbol} -\index{mp\_jacobi} -\begin{alltt} -int mp_jacobi (mp_int * a, mp_int * p, int *c) -\end{alltt} -This will compute the Jacobi symbol for $a$ with respect to $p$. If $p$ is prime this essentially computes the Legendre -symbol. The result is stored in $c$ and can take on one of three values $\lbrace -1, 0, 1 \rbrace$. If $p$ is prime -then the result will be $-1$ when $a$ is not a quadratic residue modulo $p$. The result will be $0$ if $a$ divides $p$ -and the result will be $1$ if $a$ is a quadratic residue modulo $p$. - -\section{Modular square root} -\index{mp\_sqrtmod\_prime} -\begin{alltt} -int mp_sqrtmod_prime(mp_int *n, mp_int *p, mp_int *r) -\end{alltt} - -This will solve the modular equatioon $r^2 = n \mod p$ where $p$ is a prime number greater than 2 (odd prime). -The result is returned in the third argument $r$, the function returns \textbf{MP\_OKAY} on success, -other return values indicate failure. - -The implementation is split for two different cases: - -1. if $p \mod 4 == 3$ we apply \href{http://cacr.uwaterloo.ca/hac/}{Handbook of Applied Cryptography algorithm 3.36} and compute $r$ directly as -$r = n^{(p+1)/4} \mod p$ - -2. otherwise we use \href{https://en.wikipedia.org/wiki/Tonelli-Shanks_algorithm}{Tonelli-Shanks algorithm} - -The function does not check the primality of parameter $p$ thus it is up to the caller to assure that this parameter -is a prime number. When $p$ is a composite the function behaviour is undefined, it may even return a false-positive -\textbf{MP\_OKAY}. - -\section{Modular Inverse} -\index{mp\_invmod} -\begin{alltt} -int mp_invmod (mp_int * a, mp_int * b, mp_int * c) -\end{alltt} -Computes the multiplicative inverse of $a$ modulo $b$ and stores the result in $c$ such that $ac \equiv 1 \mbox{ (mod }b\mbox{)}$. - -\section{Single Digit Functions} - -For those using small numbers (\textit{snicker snicker}) there are several ``helper'' functions - -\index{mp\_add\_d} \index{mp\_sub\_d} \index{mp\_mul\_d} \index{mp\_div\_d} \index{mp\_mod\_d} -\begin{alltt} -int mp_add_d(mp_int *a, mp_digit b, mp_int *c); -int mp_sub_d(mp_int *a, mp_digit b, mp_int *c); -int mp_mul_d(mp_int *a, mp_digit b, mp_int *c); -int mp_div_d(mp_int *a, mp_digit b, mp_int *c, mp_digit *d); -int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c); -\end{alltt} - -These work like the full mp\_int capable variants except the second parameter $b$ is a mp\_digit. These -functions fairly handy if you have to work with relatively small numbers since you will not have to allocate -an entire mp\_int to store a number like $1$ or $2$. - -\input{bn.ind} - -\end{document} diff --git a/libtommath/bn_cutoffs.c b/libtommath/bn_cutoffs.c new file mode 100644 index 0000000..b02ab71 --- /dev/null +++ b/libtommath/bn_cutoffs.c @@ -0,0 +1,14 @@ +#include "tommath_private.h" +#ifdef BN_CUTOFFS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +#ifndef MP_FIXED_CUTOFFS +#include "tommath_cutoffs.h" +int KARATSUBA_MUL_CUTOFF = MP_DEFAULT_KARATSUBA_MUL_CUTOFF, + KARATSUBA_SQR_CUTOFF = MP_DEFAULT_KARATSUBA_SQR_CUTOFF, + TOOM_MUL_CUTOFF = MP_DEFAULT_TOOM_MUL_CUTOFF, + TOOM_SQR_CUTOFF = MP_DEFAULT_TOOM_SQR_CUTOFF; +#endif + +#endif diff --git a/libtommath/bn_deprecated.c b/libtommath/bn_deprecated.c new file mode 100644 index 0000000..2056b20 --- /dev/null +++ b/libtommath/bn_deprecated.c @@ -0,0 +1,321 @@ +#include "tommath_private.h" +#ifdef BN_DEPRECATED_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +#ifdef BN_MP_GET_BIT_C +int mp_get_bit(const mp_int *a, int b) +{ + if (b < 0) { + return MP_VAL; + } + return (s_mp_get_bit(a, (unsigned int)b) == MP_YES) ? MP_YES : MP_NO; +} +#endif +#ifdef BN_MP_JACOBI_C +mp_err mp_jacobi(const mp_int *a, const mp_int *n, int *c) +{ + if (a->sign == MP_NEG) { + return MP_VAL; + } + if (mp_cmp_d(n, 0uL) != MP_GT) { + return MP_VAL; + } + return mp_kronecker(a, n, c); +} +#endif +#ifdef BN_MP_PRIME_RANDOM_EX_C +mp_err mp_prime_random_ex(mp_int *a, int t, int size, int flags, private_mp_prime_callback cb, void *dat) +{ + return s_mp_prime_random_ex(a, t, size, flags, cb, dat); +} +#endif +#ifdef BN_MP_RAND_DIGIT_C +mp_err mp_rand_digit(mp_digit *r) +{ + mp_err err = s_mp_rand_source(r, sizeof(mp_digit)); + *r &= MP_MASK; + return err; +} +#endif +#ifdef BN_FAST_MP_INVMOD_C +mp_err fast_mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) +{ + return s_mp_invmod_fast(a, b, c); +} +#endif +#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C +mp_err fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) +{ + return s_mp_montgomery_reduce_fast(x, n, rho); +} +#endif +#ifdef BN_FAST_S_MP_MUL_DIGS_C +mp_err fast_s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) +{ + return s_mp_mul_digs_fast(a, b, c, digs); +} +#endif +#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C +mp_err fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) +{ + return s_mp_mul_high_digs_fast(a, b, c, digs); +} +#endif +#ifdef BN_FAST_S_MP_SQR_C +mp_err fast_s_mp_sqr(const mp_int *a, mp_int *b) +{ + return s_mp_sqr_fast(a, b); +} +#endif +#ifdef BN_MP_BALANCE_MUL_C +mp_err mp_balance_mul(const mp_int *a, const mp_int *b, mp_int *c) +{ + return s_mp_balance_mul(a, b, c); +} +#endif +#ifdef BN_MP_EXPTMOD_FAST_C +mp_err mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) +{ + return s_mp_exptmod_fast(G, X, P, Y, redmode); +} +#endif +#ifdef BN_MP_INVMOD_SLOW_C +mp_err mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c) +{ + return s_mp_invmod_slow(a, b, c); +} +#endif +#ifdef BN_MP_KARATSUBA_MUL_C +mp_err mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c) +{ + return s_mp_karatsuba_mul(a, b, c); +} +#endif +#ifdef BN_MP_KARATSUBA_SQR_C +mp_err mp_karatsuba_sqr(const mp_int *a, mp_int *b) +{ + return s_mp_karatsuba_sqr(a, b); +} +#endif +#ifdef BN_MP_TOOM_MUL_C +mp_err mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c) +{ + return s_mp_toom_mul(a, b, c); +} +#endif +#ifdef BN_MP_TOOM_SQR_C +mp_err mp_toom_sqr(const mp_int *a, mp_int *b) +{ + return s_mp_toom_sqr(a, b); +} +#endif +#ifdef S_MP_REVERSE_C +void bn_reverse(unsigned char *s, int len) +{ + if (len > 0) { + s_mp_reverse(s, (size_t)len); + } +} +#endif +#ifdef BN_MP_TC_AND_C +mp_err mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c) +{ + return mp_and(a, b, c); +} +#endif +#ifdef BN_MP_TC_OR_C +mp_err mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c) +{ + return mp_or(a, b, c); +} +#endif +#ifdef BN_MP_TC_XOR_C +mp_err mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c) +{ + return mp_xor(a, b, c); +} +#endif +#ifdef BN_MP_TC_DIV_2D_C +mp_err mp_tc_div_2d(const mp_int *a, int b, mp_int *c) +{ + return mp_signed_rsh(a, b, c); +} +#endif +#ifdef BN_MP_INIT_SET_INT_C +mp_err mp_init_set_int(mp_int *a, unsigned long b) +{ + return mp_init_u32(a, (uint32_t)b); +} +#endif +#ifdef BN_MP_SET_INT_C +mp_err mp_set_int(mp_int *a, unsigned long b) +{ + mp_set_u32(a, (uint32_t)b); + return MP_OKAY; +} +#endif +#ifdef BN_MP_SET_LONG_C +mp_err mp_set_long(mp_int *a, unsigned long b) +{ + mp_set_u64(a, b); + return MP_OKAY; +} +#endif +#ifdef BN_MP_SET_LONG_LONG_C +mp_err mp_set_long_long(mp_int *a, unsigned long long b) +{ + mp_set_u64(a, b); + return MP_OKAY; +} +#endif +#ifdef BN_MP_GET_INT_C +unsigned long mp_get_int(const mp_int *a) +{ + return (unsigned long)mp_get_mag_u32(a); +} +#endif +#ifdef BN_MP_GET_LONG_C +unsigned long mp_get_long(const mp_int *a) +{ + return (unsigned long)mp_get_mag_ul(a); +} +#endif +#ifdef BN_MP_GET_LONG_LONG_C +unsigned long long mp_get_long_long(const mp_int *a) +{ + return mp_get_mag_ull(a); +} +#endif +#ifdef BN_MP_PRIME_IS_DIVISIBLE_C +mp_err mp_prime_is_divisible(const mp_int *a, mp_bool *result) +{ + return s_mp_prime_is_divisible(a, result); +} +#endif +#ifdef BN_MP_EXPT_D_EX_C +mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) +{ + (void)fast; + if (b > MP_MIN(MP_DIGIT_MAX, UINT32_MAX)) { + return MP_VAL; + } + return mp_expt_u32(a, (uint32_t)b, c); +} +#endif +#ifdef BN_MP_EXPT_D_C +mp_err mp_expt_d(const mp_int *a, mp_digit b, mp_int *c) +{ + if (b > MP_MIN(MP_DIGIT_MAX, UINT32_MAX)) { + return MP_VAL; + } + return mp_expt_u32(a, (uint32_t)b, c); +} +#endif +#ifdef BN_MP_N_ROOT_EX_C +mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) +{ + (void)fast; + if (b > MP_MIN(MP_DIGIT_MAX, UINT32_MAX)) { + return MP_VAL; + } + return mp_root_u32(a, (uint32_t)b, c); +} +#endif +#ifdef BN_MP_N_ROOT_C +mp_err mp_n_root(const mp_int *a, mp_digit b, mp_int *c) +{ + if (b > MP_MIN(MP_DIGIT_MAX, UINT32_MAX)) { + return MP_VAL; + } + return mp_root_u32(a, (uint32_t)b, c); +} +#endif +#ifdef BN_MP_UNSIGNED_BIN_SIZE_C +int mp_unsigned_bin_size(const mp_int *a) +{ + return (int)mp_ubin_size(a); +} +#endif +#ifdef BN_MP_READ_UNSIGNED_BIN_C +mp_err mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c) +{ + return mp_from_ubin(a, b, (size_t) c); +} +#endif +#ifdef BN_MP_TO_UNSIGNED_BIN_C +mp_err mp_to_unsigned_bin(const mp_int *a, unsigned char *b) +{ + return mp_to_ubin(a, b, SIZE_MAX, NULL); +} +#endif +#ifdef BN_MP_TO_UNSIGNED_BIN_N_C +mp_err mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) +{ + size_t n = mp_ubin_size(a); + if (*outlen < (unsigned long)n) { + return MP_VAL; + } + *outlen = (unsigned long)n; + return mp_to_ubin(a, b, n, NULL); +} +#endif +#ifdef BN_MP_SIGNED_BIN_SIZE_C +int mp_signed_bin_size(const mp_int *a) +{ + return (int)mp_sbin_size(a); +} +#endif +#ifdef BN_MP_READ_SIGNED_BIN_C +mp_err mp_read_signed_bin(mp_int *a, const unsigned char *b, int c) +{ + return mp_from_sbin(a, b, (size_t) c); +} +#endif +#ifdef BN_MP_TO_SIGNED_BIN_C +mp_err mp_to_signed_bin(const mp_int *a, unsigned char *b) +{ + return mp_to_sbin(a, b, SIZE_MAX, NULL); +} +#endif +#ifdef BN_MP_TO_SIGNED_BIN_N_C +mp_err mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) +{ + size_t n = mp_sbin_size(a); + if (*outlen < (unsigned long)n) { + return MP_VAL; + } + *outlen = (unsigned long)n; + return mp_to_sbin(a, b, n, NULL); +} +#endif +#ifdef BN_MP_TORADIX_N_C +mp_err mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen) +{ + if (maxlen < 0) { + return MP_VAL; + } + return mp_to_radix(a, str, (size_t)maxlen, NULL, radix); +} +#endif +#ifdef BN_MP_TORADIX_C +mp_err mp_toradix(const mp_int *a, char *str, int radix) +{ + return mp_to_radix(a, str, SIZE_MAX, NULL, radix); +} +#endif +#ifdef BN_MP_IMPORT_C +mp_err mp_import(mp_int *rop, size_t count, int order, size_t size, int endian, size_t nails, + const void *op) +{ + return mp_unpack(rop, count, order, size, endian, nails, op); +} +#endif +#ifdef BN_MP_EXPORT_C +mp_err mp_export(void *rop, size_t *countp, int order, size_t size, + int endian, size_t nails, const mp_int *op) +{ + return mp_pack(rop, SIZE_MAX, countp, order, size, endian, nails, op); +} +#endif +#endif diff --git a/libtommath/bn_error.c b/libtommath/bn_error.c deleted file mode 100644 index 4431d50..0000000 --- a/libtommath/bn_error.c +++ /dev/null @@ -1,44 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_ERROR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -static const struct { - int code; - const char *msg; -} msgs[] = { - { MP_OKAY, "Successful" }, - { MP_MEM, "Out of heap" }, - { MP_VAL, "Value out of range" } -}; - -/* return a char * string for a given code */ -const char *mp_error_to_string(int code) -{ - size_t x; - - /* scan the lookup table for the given message */ - for (x = 0; x < (sizeof(msgs) / sizeof(msgs[0])); x++) { - if (msgs[x].code == code) { - return msgs[x].msg; - } - } - - /* generic reply for invalid code */ - return "Invalid error code"; -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_fast_mp_invmod.c b/libtommath/bn_fast_mp_invmod.c deleted file mode 100644 index 9ce434f..0000000 --- a/libtommath/bn_fast_mp_invmod.c +++ /dev/null @@ -1,160 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_FAST_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* computes the modular inverse via binary extended euclidean algorithm, - * that is c = 1/a mod b - * - * Based on slow invmod except this is optimized for the case where b is - * odd as per HAC Note 14.64 on pp. 610 - */ -int fast_mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) -{ - mp_int x, y, u, v, B, D; - int res, neg; - - /* 2. [modified] b must be odd */ - if (mp_iseven(b) == MP_YES) { - return MP_VAL; - } - - /* init all our temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, &B, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x == modulus, y == value to invert */ - if ((res = mp_copy(b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - - /* we need y = |a| */ - if ((res = mp_mod(a, b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* if one of x,y is zero return an error! */ - if ((mp_iszero(&x) == MP_YES) || (mp_iszero(&y) == MP_YES)) { - res = MP_VAL; - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy(&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy(&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set(&D, 1uL); - -top: - /* 4. while u is even do */ - while (mp_iseven(&u) == MP_YES) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2(&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if B is odd then */ - if (mp_isodd(&B) == MP_YES) { - if ((res = mp_sub(&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* B = B/2 */ - if ((res = mp_div_2(&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven(&v) == MP_YES) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2(&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if D is odd then */ - if (mp_isodd(&D) == MP_YES) { - /* D = (D-x)/2 */ - if ((res = mp_sub(&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* D = D/2 */ - if ((res = mp_div_2(&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp(&u, &v) != MP_LT) { - /* u = u - v, B = B - D */ - if ((res = mp_sub(&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub(&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, D = D - B */ - if ((res = mp_sub(&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub(&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero(&u) == MP_NO) { - goto top; - } - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d(&v, 1uL) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* b is now the inverse */ - neg = a->sign; - while (D.sign == MP_NEG) { - if ((res = mp_add(&D, b, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* too big */ - while (mp_cmp_mag(&D, b) != MP_LT) { - if ((res = mp_sub(&D, b, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - mp_exch(&D, c); - c->sign = neg; - res = MP_OKAY; - -LBL_ERR: - mp_clear_multi(&x, &y, &u, &v, &B, &D, NULL); - return res; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_fast_mp_montgomery_reduce.c b/libtommath/bn_fast_mp_montgomery_reduce.c deleted file mode 100644 index 0479011..0000000 --- a/libtommath/bn_fast_mp_montgomery_reduce.c +++ /dev/null @@ -1,173 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction - * - * This is an optimized implementation of montgomery_reduce - * which uses the comba method to quickly calculate the columns of the - * reduction. - * - * Based on Algorithm 14.32 on pp.601 of HAC. -*/ -int fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) -{ - int ix, res, olduse; - mp_word W[MP_WARRAY]; - - if (x->used > (int)MP_WARRAY) { - return MP_VAL; - } - - /* get old used count */ - olduse = x->used; - - /* grow a as required */ - if (x->alloc < (n->used + 1)) { - if ((res = mp_grow(x, n->used + 1)) != MP_OKAY) { - return res; - } - } - - /* first we have to get the digits of the input into - * an array of double precision words W[...] - */ - { - mp_word *_W; - mp_digit *tmpx; - - /* alias for the W[] array */ - _W = W; - - /* alias for the digits of x*/ - tmpx = x->dp; - - /* copy the digits of a into W[0..a->used-1] */ - for (ix = 0; ix < x->used; ix++) { - *_W++ = *tmpx++; - } - - /* zero the high words of W[a->used..m->used*2] */ - for (; ix < ((n->used * 2) + 1); ix++) { - *_W++ = 0; - } - } - - /* now we proceed to zero successive digits - * from the least significant upwards - */ - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * m' mod b - * - * We avoid a double precision multiplication (which isn't required) - * by casting the value down to a mp_digit. Note this requires - * that W[ix-1] have the carry cleared (see after the inner loop) - */ - mp_digit mu; - mu = ((W[ix] & MP_MASK) * rho) & MP_MASK; - - /* a = a + mu * m * b**i - * - * This is computed in place and on the fly. The multiplication - * by b**i is handled by offseting which columns the results - * are added to. - * - * Note the comba method normally doesn't handle carries in the - * inner loop In this case we fix the carry from the previous - * column since the Montgomery reduction requires digits of the - * result (so far) [see above] to work. This is - * handled by fixing up one carry after the inner loop. The - * carry fixups are done in order so after these loops the - * first m->used words of W[] have the carries fixed - */ - { - int iy; - mp_digit *tmpn; - mp_word *_W; - - /* alias for the digits of the modulus */ - tmpn = n->dp; - - /* Alias for the columns set by an offset of ix */ - _W = W + ix; - - /* inner loop */ - for (iy = 0; iy < n->used; iy++) { - *_W++ += (mp_word)mu * (mp_word)*tmpn++; - } - } - - /* now fix carry for next digit, W[ix+1] */ - W[ix + 1] += W[ix] >> (mp_word)DIGIT_BIT; - } - - /* now we have to propagate the carries and - * shift the words downward [all those least - * significant digits we zeroed]. - */ - { - mp_digit *tmpx; - mp_word *_W, *_W1; - - /* nox fix rest of carries */ - - /* alias for current word */ - _W1 = W + ix; - - /* alias for next word, where the carry goes */ - _W = W + ++ix; - - for (; ix <= ((n->used * 2) + 1); ix++) { - *_W++ += *_W1++ >> (mp_word)DIGIT_BIT; - } - - /* copy out, A = A/b**n - * - * The result is A/b**n but instead of converting from an - * array of mp_word to mp_digit than calling mp_rshd - * we just copy them in the right order - */ - - /* alias for destination word */ - tmpx = x->dp; - - /* alias for shifted double precision result */ - _W = W + n->used; - - for (ix = 0; ix < (n->used + 1); ix++) { - *tmpx++ = *_W++ & (mp_word)MP_MASK; - } - - /* zero oldused digits, if the input a was larger than - * m->used+1 we'll have to clear the digits - */ - for (; ix < olduse; ix++) { - *tmpx++ = 0; - } - } - - /* set the max used and clamp */ - x->used = n->used + 1; - mp_clamp(x); - - /* if A >= m then A = A - m */ - if (mp_cmp_mag(x, n) != MP_LT) { - return s_mp_sub(x, n, x); - } - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_fast_s_mp_mul_digs.c b/libtommath/bn_fast_s_mp_mul_digs.c deleted file mode 100644 index e38ed23..0000000 --- a/libtommath/bn_fast_s_mp_mul_digs.c +++ /dev/null @@ -1,104 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_FAST_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* Fast (comba) multiplier - * - * This is the fast column-array [comba] multiplier. It is - * designed to compute the columns of the product first - * then handle the carries afterwards. This has the effect - * of making the nested loops that compute the columns very - * simple and schedulable on super-scalar processors. - * - * This has been modified to produce a variable number of - * digits of output so if say only a half-product is required - * you don't have to compute the upper half (a feature - * required for fast Barrett reduction). - * - * Based on Algorithm 14.12 on pp.595 of HAC. - * - */ -int fast_s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - mp_word _W; - - /* grow the destination as required */ - if (c->alloc < digs) { - if ((res = mp_grow(c, digs)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = MIN(digs, a->used + b->used); - - /* clear the carry */ - _W = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty; - int iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; ++iz) { - _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; - - } - - /* store term */ - W[ix] = (mp_digit)_W & MP_MASK; - - /* make next carry */ - _W = _W >> (mp_word)DIGIT_BIT; - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - mp_digit *tmpc; - tmpc = c->dp; - for (ix = 0; ix < pa; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp(c); - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_fast_s_mp_mul_high_digs.c b/libtommath/bn_fast_s_mp_mul_high_digs.c deleted file mode 100644 index 0babc88..0000000 --- a/libtommath/bn_fast_s_mp_mul_high_digs.c +++ /dev/null @@ -1,95 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* this is a modified version of fast_s_mul_digs that only produces - * output digits *above* digs. See the comments for fast_s_mul_digs - * to see how it works. - * - * This is used in the Barrett reduction since for one of the multiplications - * only the higher digits were needed. This essentially halves the work. - * - * Based on Algorithm 14.12 on pp.595 of HAC. - */ -int fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - mp_word _W; - - /* grow the destination as required */ - pa = a->used + b->used; - if (c->alloc < pa) { - if ((res = mp_grow(c, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = a->used + b->used; - _W = 0; - for (ix = digs; ix < pa; ix++) { - int tx, ty, iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially its - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; - } - - /* store term */ - W[ix] = (mp_digit)_W & MP_MASK; - - /* make next carry */ - _W = _W >> (mp_word)DIGIT_BIT; - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - mp_digit *tmpc; - - tmpc = c->dp + digs; - for (ix = digs; ix < pa; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp(c); - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_fast_s_mp_sqr.c b/libtommath/bn_fast_s_mp_sqr.c deleted file mode 100644 index 850b3aa..0000000 --- a/libtommath/bn_fast_s_mp_sqr.c +++ /dev/null @@ -1,111 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_FAST_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* the jist of squaring... - * you do like mult except the offset of the tmpx [one that - * starts closer to zero] can't equal the offset of tmpy. - * So basically you set up iy like before then you min it with - * (ty-tx) so that it never happens. You double all those - * you add in the inner loop - -After that loop you do the squares and add them in. -*/ - -int fast_s_mp_sqr(const mp_int *a, mp_int *b) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY], *tmpx; - mp_word W1; - - /* grow the destination as required */ - pa = a->used + a->used; - if (b->alloc < pa) { - if ((res = mp_grow(b, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - W1 = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty, iy; - mp_word _W; - mp_digit *tmpy; - - /* clear counter */ - _W = 0; - - /* get offsets into the two bignums */ - ty = MIN(a->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = a->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* now for squaring tx can never equal ty - * we halve the distance since they approach at a rate of 2x - * and we have to round because odd cases need to be executed - */ - iy = MIN(iy, ((ty-tx)+1)>>1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; - } - - /* double the inner product and add carry */ - _W = _W + _W + W1; - - /* even columns have the square term in them */ - if (((unsigned)ix & 1u) == 0u) { - _W += (mp_word)a->dp[ix>>1] * (mp_word)a->dp[ix>>1]; - } - - /* store it */ - W[ix] = _W & MP_MASK; - - /* make next carry */ - W1 = _W >> (mp_word)DIGIT_BIT; - } - - /* setup dest */ - olduse = b->used; - b->used = a->used+a->used; - - { - mp_digit *tmpb; - tmpb = b->dp; - for (ix = 0; ix < pa; ix++) { - *tmpb++ = W[ix] & MP_MASK; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpb++ = 0; - } - } - mp_clamp(b); - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_2expt.c b/libtommath/bn_mp_2expt.c index 54bd1d9..0ae3df1 100644 --- a/libtommath/bn_mp_2expt.c +++ b/libtommath/bn_mp_2expt.c @@ -1,44 +1,31 @@ #include "tommath_private.h" #ifdef BN_MP_2EXPT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* computes a = 2**b * * Simple algorithm which zeroes the int, grows it then just sets one bit * as required. */ -int mp_2expt(mp_int *a, int b) +mp_err mp_2expt(mp_int *a, int b) { - int res; + mp_err err; /* zero a as per default */ mp_zero(a); /* grow a to accomodate the single bit */ - if ((res = mp_grow(a, (b / DIGIT_BIT) + 1)) != MP_OKAY) { - return res; + if ((err = mp_grow(a, (b / MP_DIGIT_BIT) + 1)) != MP_OKAY) { + return err; } /* set the used count of where the bit will go */ - a->used = (b / DIGIT_BIT) + 1; + a->used = (b / MP_DIGIT_BIT) + 1; /* put the single bit in its place */ - a->dp[b / DIGIT_BIT] = (mp_digit)1 << (mp_digit)(b % DIGIT_BIT); + a->dp[b / MP_DIGIT_BIT] = (mp_digit)1 << (mp_digit)(b % MP_DIGIT_BIT); return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_abs.c b/libtommath/bn_mp_abs.c index 97980e3..00900bb 100644 --- a/libtommath/bn_mp_abs.c +++ b/libtommath/bn_mp_abs.c @@ -1,29 +1,20 @@ #include "tommath_private.h" #ifdef BN_MP_ABS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* b = |a| * * Simple function copies the input and fixes the sign to positive */ -int mp_abs(const mp_int *a, mp_int *b) +mp_err mp_abs(const mp_int *a, mp_int *b) { - int res; + mp_err err; /* copy a to b */ if (a != b) { - if ((res = mp_copy(a, b)) != MP_OKAY) { - return res; + if ((err = mp_copy(a, b)) != MP_OKAY) { + return err; } } @@ -33,7 +24,3 @@ int mp_abs(const mp_int *a, mp_int *b) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_add.c b/libtommath/bn_mp_add.c index 3124ed8..dfa78de 100644 --- a/libtommath/bn_mp_add.c +++ b/libtommath/bn_mp_add.c @@ -1,21 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* high level addition (handles signs) */ -int mp_add(const mp_int *a, const mp_int *b, mp_int *c) +mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c) { - int sa, sb, res; + mp_sign sa, sb; + mp_err err; /* get sign of both inputs */ sa = a->sign; @@ -26,7 +18,7 @@ int mp_add(const mp_int *a, const mp_int *b, mp_int *c) /* both positive or both negative */ /* add their magnitudes, copy the sign */ c->sign = sa; - res = s_mp_add(a, b, c); + err = s_mp_add(a, b, c); } else { /* one positive, the other negative */ /* subtract the one with the greater magnitude from */ @@ -34,17 +26,13 @@ int mp_add(const mp_int *a, const mp_int *b, mp_int *c) /* the sign of the one with the greater magnitude. */ if (mp_cmp_mag(a, b) == MP_LT) { c->sign = sb; - res = s_mp_sub(b, a, c); + err = s_mp_sub(b, a, c); } else { c->sign = sa; - res = s_mp_sub(a, b, c); + err = s_mp_sub(a, b, c); } } - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index e626c9a..f301575 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -1,27 +1,19 @@ #include "tommath_private.h" #ifdef BN_MP_ADD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* single digit addition */ -int mp_add_d(const mp_int *a, mp_digit b, mp_int *c) +mp_err mp_add_d(const mp_int *a, mp_digit b, mp_int *c) { - int res, ix, oldused; - mp_digit *tmpa, *tmpc, mu; + mp_err err; + int ix, oldused; + mp_digit *tmpa, *tmpc; /* grow c as required */ if (c->alloc < (a->used + 1)) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; + if ((err = mp_grow(c, a->used + 1)) != MP_OKAY) { + return err; } } @@ -32,7 +24,7 @@ int mp_add_d(const mp_int *a, mp_digit b, mp_int *c) a_.sign = MP_ZPOS; /* c = |a| - b */ - res = mp_sub_d(&a_, b, c); + err = mp_sub_d(&a_, b, c); /* fix sign */ c->sign = MP_NEG; @@ -40,7 +32,7 @@ int mp_add_d(const mp_int *a, mp_digit b, mp_int *c) /* clamp */ mp_clamp(c); - return res; + return err; } /* old number of used digits in c */ @@ -54,17 +46,11 @@ int mp_add_d(const mp_int *a, mp_digit b, mp_int *c) /* if a is positive */ if (a->sign == MP_ZPOS) { - /* add digit, after this we're propagating - * the carry. - */ - *tmpc = *tmpa++ + b; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - - /* now handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { + /* add digits, mu is carry */ + mp_digit mu = b; + for (ix = 0; ix < a->used; ix++) { *tmpc = *tmpa++ + mu; - mu = *tmpc >> DIGIT_BIT; + mu = *tmpc >> MP_DIGIT_BIT; *tmpc++ &= MP_MASK; } /* set final carry */ @@ -94,16 +80,10 @@ int mp_add_d(const mp_int *a, mp_digit b, mp_int *c) c->sign = MP_ZPOS; /* now zero to oldused */ - while (ix++ < oldused) { - *tmpc++ = 0; - } + MP_ZERO_DIGITS(tmpc, oldused - ix); mp_clamp(c); return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_addmod.c b/libtommath/bn_mp_addmod.c index d2635bf..1dcfb67 100644 --- a/libtommath/bn_mp_addmod.c +++ b/libtommath/bn_mp_addmod.c @@ -1,37 +1,25 @@ #include "tommath_private.h" #ifdef BN_MP_ADDMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* d = a + b (mod c) */ -int mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) +mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) { - int res; + mp_err err; mp_int t; - if ((res = mp_init(&t)) != MP_OKAY) { - return res; + if ((err = mp_init(&t)) != MP_OKAY) { + return err; } - if ((res = mp_add(a, b, &t)) != MP_OKAY) { - mp_clear(&t); - return res; + if ((err = mp_add(a, b, &t)) != MP_OKAY) { + goto LBL_ERR; } - res = mp_mod(&t, c, d); + err = mp_mod(&t, c, d); + +LBL_ERR: mp_clear(&t); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_and.c b/libtommath/bn_mp_and.c index b344342..c259f8d 100644 --- a/libtommath/bn_mp_and.c +++ b/libtommath/bn_mp_and.c @@ -1,54 +1,56 @@ #include "tommath_private.h" #ifdef BN_MP_AND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* AND two ints together */ -int mp_and(const mp_int *a, const mp_int *b, mp_int *c) +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* two complement and */ +mp_err mp_and(const mp_int *a, const mp_int *b, mp_int *c) { - int res, ix, px; - mp_int t; - const mp_int *x; + int used = MP_MAX(a->used, b->used) + 1, i; + mp_err err; + mp_digit ac = 1, bc = 1, cc = 1; + mp_sign csign = ((a->sign == MP_NEG) && (b->sign == MP_NEG)) ? MP_NEG : MP_ZPOS; - if (a->used > b->used) { - if ((res = mp_init_copy(&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy(&t, b)) != MP_OKAY) { - return res; + if (c->alloc < used) { + if ((err = mp_grow(c, used)) != MP_OKAY) { + return err; } - px = a->used; - x = a; } - for (ix = 0; ix < px; ix++) { - t.dp[ix] &= x->dp[ix]; - } + for (i = 0; i < used; i++) { + mp_digit x, y; + + /* convert to two complement if negative */ + if (a->sign == MP_NEG) { + ac += (i >= a->used) ? MP_MASK : (~a->dp[i] & MP_MASK); + x = ac & MP_MASK; + ac >>= MP_DIGIT_BIT; + } else { + x = (i >= a->used) ? 0uL : a->dp[i]; + } - /* zero digits above the last from the smallest mp_int */ - for (; ix < t.used; ix++) { - t.dp[ix] = 0; + /* convert to two complement if negative */ + if (b->sign == MP_NEG) { + bc += (i >= b->used) ? MP_MASK : (~b->dp[i] & MP_MASK); + y = bc & MP_MASK; + bc >>= MP_DIGIT_BIT; + } else { + y = (i >= b->used) ? 0uL : b->dp[i]; + } + + c->dp[i] = x & y; + + /* convert to to sign-magnitude if negative */ + if (csign == MP_NEG) { + cc += ~c->dp[i] & MP_MASK; + c->dp[i] = cc & MP_MASK; + cc >>= MP_DIGIT_BIT; + } } - mp_clamp(&t); - mp_exch(c, &t); - mp_clear(&t); + c->used = used; + c->sign = csign; + mp_clamp(c); return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_clamp.c b/libtommath/bn_mp_clamp.c index f221476..ac23bfd 100644 --- a/libtommath/bn_mp_clamp.c +++ b/libtommath/bn_mp_clamp.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_CLAMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* trim unused digits * @@ -34,7 +25,3 @@ void mp_clamp(mp_int *a) } } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_clear.c b/libtommath/bn_mp_clear.c index 8619a0b..ff78324 100644 --- a/libtommath/bn_mp_clear.c +++ b/libtommath/bn_mp_clear.c @@ -1,28 +1,15 @@ #include "tommath_private.h" -#include "dbhelpers.h" #ifdef BN_MP_CLEAR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* clear one (frees) */ void mp_clear(mp_int *a) { /* only do anything if a hasn't been freed previously */ if (a->dp != NULL) { - /* first zero the digits */ - m_burn(a->dp, (size_t)a->alloc * sizeof(*a->dp)); - /* free ram */ - XFREE(a->dp); + MP_FREE_DIGITS(a->dp, a->alloc); /* reset members to make debugging easier */ a->dp = NULL; @@ -31,7 +18,3 @@ void mp_clear(mp_int *a) } } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_clear_multi.c b/libtommath/bn_mp_clear_multi.c index d8db878..794e45f 100644 --- a/libtommath/bn_mp_clear_multi.c +++ b/libtommath/bn_mp_clear_multi.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_CLEAR_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ #include @@ -26,7 +17,3 @@ void mp_clear_multi(mp_int *mp, ...) va_end(args); } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_cmp.c b/libtommath/bn_mp_cmp.c index 50da045..ced4840 100644 --- a/libtommath/bn_mp_cmp.c +++ b/libtommath/bn_mp_cmp.c @@ -1,19 +1,10 @@ #include "tommath_private.h" #ifdef BN_MP_CMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* compare two ints (signed)*/ -int mp_cmp(const mp_int *a, const mp_int *b) +mp_ord mp_cmp(const mp_int *a, const mp_int *b) { /* compare based on sign */ if (a->sign != b->sign) { @@ -33,7 +24,3 @@ int mp_cmp(const mp_int *a, const mp_int *b) } } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_cmp_d.c b/libtommath/bn_mp_cmp_d.c index e396355..5a8337b 100644 --- a/libtommath/bn_mp_cmp_d.c +++ b/libtommath/bn_mp_cmp_d.c @@ -1,19 +1,10 @@ #include "tommath_private.h" #ifdef BN_MP_CMP_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* compare a digit */ -int mp_cmp_d(const mp_int *a, mp_digit b) +mp_ord mp_cmp_d(const mp_int *a, mp_digit b) { /* compare based on sign */ if (a->sign == MP_NEG) { @@ -35,7 +26,3 @@ int mp_cmp_d(const mp_int *a, mp_digit b) } } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_cmp_mag.c b/libtommath/bn_mp_cmp_mag.c index 8a3d3e5..f144ea9 100644 --- a/libtommath/bn_mp_cmp_mag.c +++ b/libtommath/bn_mp_cmp_mag.c @@ -1,22 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_CMP_MAG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* compare maginitude of two ints (unsigned) */ -int mp_cmp_mag(const mp_int *a, const mp_int *b) +mp_ord mp_cmp_mag(const mp_int *a, const mp_int *b) { int n; - mp_digit *tmpa, *tmpb; + const mp_digit *tmpa, *tmpb; /* compare based on # of non-zero digits */ if (a->used > b->used) { @@ -46,7 +37,3 @@ int mp_cmp_mag(const mp_int *a, const mp_int *b) return MP_EQ; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_cnt_lsb.c b/libtommath/bn_mp_cnt_lsb.c index de0a7b5..4b2d206 100644 --- a/libtommath/bn_mp_cnt_lsb.c +++ b/libtommath/bn_mp_cnt_lsb.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_CNT_LSB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ static const int lnz[16] = { 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 @@ -23,14 +14,14 @@ int mp_cnt_lsb(const mp_int *a) mp_digit q, qq; /* easy out */ - if (mp_iszero(a) == MP_YES) { + if (MP_IS_ZERO(a)) { return 0; } /* scan lower digits until non-zero */ for (x = 0; (x < a->used) && (a->dp[x] == 0u); x++) {} q = a->dp[x]; - x *= DIGIT_BIT; + x *= MP_DIGIT_BIT; /* now scan this digit until a 1 is found */ if ((q & 1u) == 0u) { @@ -44,7 +35,3 @@ int mp_cnt_lsb(const mp_int *a) } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_complement.c b/libtommath/bn_mp_complement.c index 05370db..fef1423 100644 --- a/libtommath/bn_mp_complement.c +++ b/libtommath/bn_mp_complement.c @@ -1,25 +1,12 @@ #include "tommath_private.h" #ifdef BN_MP_COMPLEMENT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* b = ~a */ -int mp_complement(const mp_int *a, mp_int *b) +mp_err mp_complement(const mp_int *a, mp_int *b) { - int res = mp_neg(a, b); - return (res == MP_OKAY) ? mp_sub_d(b, 1uL, b) : res; + mp_err err = mp_neg(a, b); + return (err == MP_OKAY) ? mp_sub_d(b, 1uL, b) : err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_copy.c b/libtommath/bn_mp_copy.c index e3463b6..e72fcf6 100644 --- a/libtommath/bn_mp_copy.c +++ b/libtommath/bn_mp_copy.c @@ -1,21 +1,14 @@ #include "tommath_private.h" #ifdef BN_MP_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* copy, b = a */ -int mp_copy(const mp_int *a, mp_int *b) +mp_err mp_copy(const mp_int *a, mp_int *b) { - int res, n; + int n; + mp_digit *tmpa, *tmpb; + mp_err err; /* if dst == src do nothing */ if (a == b) { @@ -24,41 +17,31 @@ int mp_copy(const mp_int *a, mp_int *b) /* grow dest */ if (b->alloc < a->used) { - if ((res = mp_grow(b, a->used)) != MP_OKAY) { - return res; + if ((err = mp_grow(b, a->used)) != MP_OKAY) { + return err; } } /* zero b and copy the parameters over */ - { - mp_digit *tmpa, *tmpb; + /* pointer aliases */ - /* pointer aliases */ + /* source */ + tmpa = a->dp; - /* source */ - tmpa = a->dp; + /* destination */ + tmpb = b->dp; - /* destination */ - tmpb = b->dp; - - /* copy all the digits */ - for (n = 0; n < a->used; n++) { - *tmpb++ = *tmpa++; - } - - /* clear high digits */ - for (; n < b->used; n++) { - *tmpb++ = 0; - } + /* copy all the digits */ + for (n = 0; n < a->used; n++) { + *tmpb++ = *tmpa++; } + /* clear high digits */ + MP_ZERO_DIGITS(tmpb, b->used - n); + /* copy used count and sign */ b->used = a->used; b->sign = a->sign; return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_count_bits.c b/libtommath/bn_mp_count_bits.c index f82fbe1..b7c2cad 100644 --- a/libtommath/bn_mp_count_bits.c +++ b/libtommath/bn_mp_count_bits.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_COUNT_BITS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* returns the number of bits in an int */ int mp_count_bits(const mp_int *a) @@ -19,23 +10,19 @@ int mp_count_bits(const mp_int *a) mp_digit q; /* shortcut */ - if (a->used == 0) { + if (MP_IS_ZERO(a)) { return 0; } /* get number of digits and add that */ - r = (a->used - 1) * DIGIT_BIT; + r = (a->used - 1) * MP_DIGIT_BIT; /* take the last digit and count the bits in it */ q = a->dp[a->used - 1]; - while (q > (mp_digit)0) { + while (q > 0u) { ++r; - q >>= (mp_digit)1; + q >>= 1u; } return r; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_decr.c b/libtommath/bn_mp_decr.c new file mode 100644 index 0000000..c6a1572 --- /dev/null +++ b/libtommath/bn_mp_decr.c @@ -0,0 +1,34 @@ +#include "tommath_private.h" +#ifdef BN_MP_DECR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* Decrement "a" by one like "a--". Changes input! */ +mp_err mp_decr(mp_int *a) +{ + if (MP_IS_ZERO(a)) { + mp_set(a,1uL); + a->sign = MP_NEG; + return MP_OKAY; + } else if (a->sign == MP_NEG) { + mp_err err; + a->sign = MP_ZPOS; + if ((err = mp_incr(a)) != MP_OKAY) { + return err; + } + /* There is no -0 in LTM */ + if (!MP_IS_ZERO(a)) { + a->sign = MP_NEG; + } + return MP_OKAY; + } else if (a->dp[0] > 1uL) { + a->dp[0]--; + if (a->dp[0] == 0u) { + mp_zero(a); + } + return MP_OKAY; + } else { + return mp_sub_d(a, 1uL,a); + } +} +#endif diff --git a/libtommath/bn_mp_div.c b/libtommath/bn_mp_div.c index 316ccc0..71de55b 100644 --- a/libtommath/bn_mp_div.c +++ b/libtommath/bn_mp_div.c @@ -1,69 +1,55 @@ #include "tommath_private.h" #ifdef BN_MP_DIV_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ #ifdef BN_MP_DIV_SMALL /* slower bit-bang division... also smaller */ -int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) +mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) { mp_int ta, tb, tq, q; - int res, n, n2; + int n, n2; + mp_err err; /* is divisor zero ? */ - if (mp_iszero(b) == MP_YES) { + if (MP_IS_ZERO(b)) { return MP_VAL; } /* if a < b then q=0, r = a */ if (mp_cmp_mag(a, b) == MP_LT) { if (d != NULL) { - res = mp_copy(a, d); + err = mp_copy(a, d); } else { - res = MP_OKAY; + err = MP_OKAY; } if (c != NULL) { mp_zero(c); } - return res; + return err; } /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) { - return res; + if ((err = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) { + return err; } mp_set(&tq, 1uL); n = mp_count_bits(a) - mp_count_bits(b); - if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { - goto LBL_ERR; - } + if ((err = mp_abs(a, &ta)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_abs(b, &tb)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_mul_2d(&tq, n, &tq)) != MP_OKAY) goto LBL_ERR; while (n-- >= 0) { if (mp_cmp(&tb, &ta) != MP_GT) { - if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || - ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) { - goto LBL_ERR; - } - } - if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || - ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) { - goto LBL_ERR; + if ((err = mp_sub(&ta, &tb, &ta)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_add(&q, &tq, &q)) != MP_OKAY) goto LBL_ERR; } + if ((err = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY) goto LBL_ERR; } /* now q == quotient and ta == remainder */ @@ -71,15 +57,15 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) n2 = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; if (c != NULL) { mp_exch(c, &q); - c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; + c->sign = MP_IS_ZERO(c) ? MP_ZPOS : n2; } if (d != NULL) { mp_exch(d, &ta); - d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; + d->sign = MP_IS_ZERO(d) ? MP_ZPOS : n; } LBL_ERR: mp_clear_multi(&ta, &tb, &tq, &q, NULL); - return res; + return err; } #else @@ -97,64 +83,54 @@ LBL_ERR: * The overall algorithm is as described as * 14.20 from HAC but fixed to treat these cases. */ -int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) +mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) { mp_int q, x, y, t1, t2; - int res, n, t, i, norm, neg; + int n, t, i, norm; + mp_sign neg; + mp_err err; /* is divisor zero ? */ - if (mp_iszero(b) == MP_YES) { + if (MP_IS_ZERO(b)) { return MP_VAL; } /* if a < b then q=0, r = a */ if (mp_cmp_mag(a, b) == MP_LT) { if (d != NULL) { - res = mp_copy(a, d); + err = mp_copy(a, d); } else { - res = MP_OKAY; + err = MP_OKAY; } if (c != NULL) { mp_zero(c); } - return res; + return err; } - if ((res = mp_init_size(&q, a->used + 2)) != MP_OKAY) { - return res; + if ((err = mp_init_size(&q, a->used + 2)) != MP_OKAY) { + return err; } q.used = a->used + 2; - if ((res = mp_init(&t1)) != MP_OKAY) { - goto LBL_Q; - } + if ((err = mp_init(&t1)) != MP_OKAY) goto LBL_Q; - if ((res = mp_init(&t2)) != MP_OKAY) { - goto LBL_T1; - } + if ((err = mp_init(&t2)) != MP_OKAY) goto LBL_T1; - if ((res = mp_init_copy(&x, a)) != MP_OKAY) { - goto LBL_T2; - } + if ((err = mp_init_copy(&x, a)) != MP_OKAY) goto LBL_T2; - if ((res = mp_init_copy(&y, b)) != MP_OKAY) { - goto LBL_X; - } + if ((err = mp_init_copy(&y, b)) != MP_OKAY) goto LBL_X; /* fix the sign */ neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; x.sign = y.sign = MP_ZPOS; - /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ - norm = mp_count_bits(&y) % DIGIT_BIT; - if (norm < (DIGIT_BIT - 1)) { - norm = (DIGIT_BIT - 1) - norm; - if ((res = mp_mul_2d(&x, norm, &x)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_mul_2d(&y, norm, &y)) != MP_OKAY) { - goto LBL_Y; - } + /* normalize both x and y, ensure that y >= b/2, [b == 2**MP_DIGIT_BIT] */ + norm = mp_count_bits(&y) % MP_DIGIT_BIT; + if (norm < (MP_DIGIT_BIT - 1)) { + norm = (MP_DIGIT_BIT - 1) - norm; + if ((err = mp_mul_2d(&x, norm, &x)) != MP_OKAY) goto LBL_Y; + if ((err = mp_mul_2d(&y, norm, &y)) != MP_OKAY) goto LBL_Y; } else { norm = 0; } @@ -164,15 +140,12 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) t = y.used - 1; /* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */ - if ((res = mp_lshd(&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */ - goto LBL_Y; - } + /* y = y*b**{n-t} */ + if ((err = mp_lshd(&y, n - t)) != MP_OKAY) goto LBL_Y; while (mp_cmp(&x, &y) != MP_LT) { ++(q.dp[n - t]); - if ((res = mp_sub(&x, &y, &x)) != MP_OKAY) { - goto LBL_Y; - } + if ((err = mp_sub(&x, &y, &x)) != MP_OKAY) goto LBL_Y; } /* reset y by shifting it back down */ @@ -187,10 +160,10 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) /* step 3.1 if xi == yt then set q{i-t-1} to b-1, * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ if (x.dp[i] == y.dp[t]) { - q.dp[(i - t) - 1] = ((mp_digit)1 << (mp_digit)DIGIT_BIT) - (mp_digit)1; + q.dp[(i - t) - 1] = ((mp_digit)1 << (mp_digit)MP_DIGIT_BIT) - (mp_digit)1; } else { mp_word tmp; - tmp = (mp_word)x.dp[i] << (mp_word)DIGIT_BIT; + tmp = (mp_word)x.dp[i] << (mp_word)MP_DIGIT_BIT; tmp |= (mp_word)x.dp[i - 1]; tmp /= (mp_word)y.dp[t]; if (tmp > (mp_word)MP_MASK) { @@ -213,41 +186,27 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) t1.dp[0] = ((t - 1) < 0) ? 0u : y.dp[t - 1]; t1.dp[1] = y.dp[t]; t1.used = 2; - if ((res = mp_mul_d(&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } + if ((err = mp_mul_d(&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) goto LBL_Y; /* find right hand */ t2.dp[0] = ((i - 2) < 0) ? 0u : x.dp[i - 2]; - t2.dp[1] = ((i - 1) < 0) ? 0u : x.dp[i - 1]; + t2.dp[1] = x.dp[i - 1]; /* i >= 1 always holds */ t2.dp[2] = x.dp[i]; t2.used = 3; } while (mp_cmp_mag(&t1, &t2) == MP_GT); /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d(&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } + if ((err = mp_mul_d(&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) goto LBL_Y; - if ((res = mp_lshd(&t1, (i - t) - 1)) != MP_OKAY) { - goto LBL_Y; - } + if ((err = mp_lshd(&t1, (i - t) - 1)) != MP_OKAY) goto LBL_Y; - if ((res = mp_sub(&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } + if ((err = mp_sub(&x, &t1, &x)) != MP_OKAY) goto LBL_Y; /* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */ if (x.sign == MP_NEG) { - if ((res = mp_copy(&y, &t1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_lshd(&t1, (i - t) - 1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_add(&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } + if ((err = mp_copy(&y, &t1)) != MP_OKAY) goto LBL_Y; + if ((err = mp_lshd(&t1, (i - t) - 1)) != MP_OKAY) goto LBL_Y; + if ((err = mp_add(&x, &t1, &x)) != MP_OKAY) goto LBL_Y; q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1uL) & MP_MASK; } @@ -267,13 +226,11 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) } if (d != NULL) { - if ((res = mp_div_2d(&x, norm, &x, NULL)) != MP_OKAY) { - goto LBL_Y; - } + if ((err = mp_div_2d(&x, norm, &x, NULL)) != MP_OKAY) goto LBL_Y; mp_exch(&x, d); } - res = MP_OKAY; + err = MP_OKAY; LBL_Y: mp_clear(&y); @@ -285,13 +242,9 @@ LBL_T1: mp_clear(&t1); LBL_Q: mp_clear(&q); - return res; + return err; } #endif #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_div_2.c b/libtommath/bn_mp_div_2.c index a84e9f0..f56ea81 100644 --- a/libtommath/bn_mp_div_2.c +++ b/libtommath/bn_mp_div_2.c @@ -1,65 +1,49 @@ #include "tommath_private.h" #ifdef BN_MP_DIV_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* b = a/2 */ -int mp_div_2(const mp_int *a, mp_int *b) +mp_err mp_div_2(const mp_int *a, mp_int *b) { - int x, res, oldused; + int x, oldused; + mp_digit r, rr, *tmpa, *tmpb; + mp_err err; /* copy */ if (b->alloc < a->used) { - if ((res = mp_grow(b, a->used)) != MP_OKAY) { - return res; + if ((err = mp_grow(b, a->used)) != MP_OKAY) { + return err; } } oldused = b->used; b->used = a->used; - { - mp_digit r, rr, *tmpa, *tmpb; - /* source alias */ - tmpa = a->dp + b->used - 1; + /* source alias */ + tmpa = a->dp + b->used - 1; - /* dest alias */ - tmpb = b->dp + b->used - 1; + /* dest alias */ + tmpb = b->dp + b->used - 1; - /* carry */ - r = 0; - for (x = b->used - 1; x >= 0; x--) { - /* get the carry for the next iteration */ - rr = *tmpa & 1u; + /* carry */ + r = 0; + for (x = b->used - 1; x >= 0; x--) { + /* get the carry for the next iteration */ + rr = *tmpa & 1u; - /* shift the current digit, add in carry and store */ - *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); + /* shift the current digit, add in carry and store */ + *tmpb-- = (*tmpa-- >> 1) | (r << (MP_DIGIT_BIT - 1)); - /* forward carry to next iteration */ - r = rr; - } - - /* zero excess digits */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } + /* forward carry to next iteration */ + r = rr; } + + /* zero excess digits */ + MP_ZERO_DIGITS(b->dp + b->used, oldused - b->used); + b->sign = a->sign; mp_clamp(b); return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_div_2d.c b/libtommath/bn_mp_div_2d.c index 2479a3a..c47d5ce 100644 --- a/libtommath/bn_mp_div_2d.c +++ b/libtommath/bn_mp_div_2d.c @@ -1,52 +1,44 @@ #include "tommath_private.h" #ifdef BN_MP_DIV_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ -int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d) +mp_err mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d) { mp_digit D, r, rr; - int x, res; + int x; + mp_err err; /* if the shift count is <= 0 then we do no work */ if (b <= 0) { - res = mp_copy(a, c); + err = mp_copy(a, c); if (d != NULL) { mp_zero(d); } - return res; + return err; } /* copy */ - if ((res = mp_copy(a, c)) != MP_OKAY) { - return res; + if ((err = mp_copy(a, c)) != MP_OKAY) { + return err; } /* 'a' should not be used after here - it might be the same as d */ /* get the remainder */ if (d != NULL) { - if ((res = mp_mod_2d(a, b, d)) != MP_OKAY) { - return res; + if ((err = mp_mod_2d(a, b, d)) != MP_OKAY) { + return err; } } /* shift by as many digits in the bit count */ - if (b >= DIGIT_BIT) { - mp_rshd(c, b / DIGIT_BIT); + if (b >= MP_DIGIT_BIT) { + mp_rshd(c, b / MP_DIGIT_BIT); } - /* shift any bit count < DIGIT_BIT */ - D = (mp_digit)(b % DIGIT_BIT); + /* shift any bit count < MP_DIGIT_BIT */ + D = (mp_digit)(b % MP_DIGIT_BIT); if (D != 0u) { mp_digit *tmpc, mask, shift; @@ -54,7 +46,7 @@ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d) mask = ((mp_digit)1 << D) - 1uL; /* shift for lsb */ - shift = (mp_digit)DIGIT_BIT - D; + shift = (mp_digit)MP_DIGIT_BIT - D; /* alias */ tmpc = c->dp + (c->used - 1); @@ -77,7 +69,3 @@ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_div_3.c b/libtommath/bn_mp_div_3.c index db46d44..3a23fdf 100644 --- a/libtommath/bn_mp_div_3.c +++ b/libtommath/bn_mp_div_3.c @@ -1,41 +1,33 @@ #include "tommath_private.h" #ifdef BN_MP_DIV_3_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* divide by three (based on routine from MPI and the GMP manual) */ -int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) +mp_err mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) { mp_int q; mp_word w, t; mp_digit b; - int res, ix; + mp_err err; + int ix; - /* b = 2**DIGIT_BIT / 3 */ - b = ((mp_word)1 << (mp_word)DIGIT_BIT) / (mp_word)3; + /* b = 2**MP_DIGIT_BIT / 3 */ + b = ((mp_word)1 << (mp_word)MP_DIGIT_BIT) / (mp_word)3; - if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { - return res; + if ((err = mp_init_size(&q, a->used)) != MP_OKAY) { + return err; } q.used = a->used; q.sign = a->sign; w = 0; for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << (mp_word)DIGIT_BIT) | (mp_word)a->dp[ix]; + w = (w << (mp_word)MP_DIGIT_BIT) | (mp_word)a->dp[ix]; if (w >= 3u) { /* multiply w by [1/3] */ - t = (w * (mp_word)b) >> (mp_word)DIGIT_BIT; + t = (w * (mp_word)b) >> (mp_word)MP_DIGIT_BIT; /* now subtract 3 * [w/3] from w, to get the remainder */ w -= t+t+t; @@ -65,11 +57,7 @@ int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) } mp_clear(&q); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index 105d514..b9d718b 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -1,42 +1,16 @@ #include "tommath_private.h" #ifdef BN_MP_DIV_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -static int s_is_power_of_two(mp_digit b, int *p) -{ - int x; - - /* fast return if no power of two */ - if ((b == 0u) || ((b & (b-1u)) != 0u)) { - return 0; - } - - for (x = 0; x < DIGIT_BIT; x++) { - if (b == ((mp_digit)1<<(mp_digit)x)) { - *p = x; - return 1; - } - } - return 0; -} +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* single digit division (based on routine from MPI) */ -int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) +mp_err mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) { mp_int q; mp_word w; mp_digit t; - int res, ix; + mp_err err; + int ix; /* cannot divide by zero */ if (b == 0u) { @@ -44,7 +18,7 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) } /* quick outs */ - if ((b == 1u) || (mp_iszero(a) == MP_YES)) { + if ((b == 1u) || MP_IS_ZERO(a)) { if (d != NULL) { *d = 0; } @@ -55,7 +29,11 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) } /* power of two ? */ - if (s_is_power_of_two(b, &ix) == 1) { + if ((b & (b - 1u)) == 0u) { + ix = 1; + while ((ix < MP_DIGIT_BIT) && (b != (((mp_digit)1)<dp[0] & (((mp_digit)1<<(mp_digit)ix) - 1uL); } @@ -65,23 +43,21 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) return MP_OKAY; } -#ifdef BN_MP_DIV_3_C /* three? */ - if (b == 3u) { + if (MP_HAS(MP_DIV_3) && (b == 3u)) { return mp_div_3(a, c, d); } -#endif /* no easy answer [c'est la vie]. Just division */ - if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { - return res; + if ((err = mp_init_size(&q, a->used)) != MP_OKAY) { + return err; } q.used = a->used; q.sign = a->sign; w = 0; for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << (mp_word)DIGIT_BIT) | (mp_word)a->dp[ix]; + w = (w << (mp_word)MP_DIGIT_BIT) | (mp_word)a->dp[ix]; if (w >= b) { t = (mp_digit)(w / b); @@ -102,11 +78,7 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) } mp_clear(&q); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_dr_is_modulus.c b/libtommath/bn_mp_dr_is_modulus.c index 1417fe2..83760ea 100644 --- a/libtommath/bn_mp_dr_is_modulus.c +++ b/libtommath/bn_mp_dr_is_modulus.c @@ -1,25 +1,16 @@ #include "tommath_private.h" #ifdef BN_MP_DR_IS_MODULUS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* determines if a number is a valid DR modulus */ -int mp_dr_is_modulus(const mp_int *a) +mp_bool mp_dr_is_modulus(const mp_int *a) { int ix; /* must be at least two digits */ if (a->used < 2) { - return 0; + return MP_NO; } /* must be of the form b**k - a [a <= b] so all @@ -27,14 +18,10 @@ int mp_dr_is_modulus(const mp_int *a) */ for (ix = 1; ix < a->used; ix++) { if (a->dp[ix] != MP_MASK) { - return 0; + return MP_NO; } } - return 1; + return MP_YES; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_dr_reduce.c b/libtommath/bn_mp_dr_reduce.c index 77de433..ffc33a6 100644 --- a/libtommath/bn_mp_dr_reduce.c +++ b/libtommath/bn_mp_dr_reduce.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_DR_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. * @@ -26,9 +17,10 @@ * * Input x must be in the range 0 <= x <= (n-1)**2 */ -int mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k) +mp_err mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k) { - int err, i, m; + mp_err err; + int i, m; mp_word r; mp_digit mu, *tmpx1, *tmpx2; @@ -60,16 +52,14 @@ top: for (i = 0; i < m; i++) { r = ((mp_word)*tmpx2++ * (mp_word)k) + *tmpx1 + mu; *tmpx1++ = (mp_digit)(r & MP_MASK); - mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); + mu = (mp_digit)(r >> ((mp_word)MP_DIGIT_BIT)); } /* set final carry */ *tmpx1++ = mu; /* zero words above m */ - for (i = m + 1; i < x->used; i++) { - *tmpx1++ = 0; - } + MP_ZERO_DIGITS(tmpx1, (x->used - m) - 1); /* clamp, sub and return */ mp_clamp(x); @@ -86,7 +76,3 @@ top: return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_dr_setup.c b/libtommath/bn_mp_dr_setup.c index 14c807b..32d5f38 100644 --- a/libtommath/bn_mp_dr_setup.c +++ b/libtommath/bn_mp_dr_setup.c @@ -1,28 +1,15 @@ #include "tommath_private.h" #ifdef BN_MP_DR_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* determines the setup value */ void mp_dr_setup(const mp_int *a, mp_digit *d) { - /* the casts are required if DIGIT_BIT is one less than - * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] + /* the casts are required if MP_DIGIT_BIT is one less than + * the number of bits in a mp_digit [e.g. MP_DIGIT_BIT==31] */ - *d = (mp_digit)(((mp_word)1 << (mp_word)DIGIT_BIT) - (mp_word)a->dp[0]); + *d = (mp_digit)(((mp_word)1 << (mp_word)MP_DIGIT_BIT) - (mp_word)a->dp[0]); } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_error_to_string.c b/libtommath/bn_mp_error_to_string.c new file mode 100644 index 0000000..2e2adb0 --- /dev/null +++ b/libtommath/bn_mp_error_to_string.c @@ -0,0 +1,27 @@ +#include "tommath_private.h" +#ifdef BN_MP_ERROR_TO_STRING_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* return a char * string for a given code */ +const char *mp_error_to_string(mp_err code) +{ + switch (code) { + case MP_OKAY: + return "Successful"; + case MP_ERR: + return "Unknown error"; + case MP_MEM: + return "Out of heap"; + case MP_VAL: + return "Value out of range"; + case MP_ITER: + return "Max. iterations reached"; + case MP_BUF: + return "Buffer overflow"; + default: + return "Invalid error code"; + } +} + +#endif diff --git a/libtommath/bn_mp_exch.c b/libtommath/bn_mp_exch.c index 1ad28db..552094c 100644 --- a/libtommath/bn_mp_exch.c +++ b/libtommath/bn_mp_exch.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_EXCH_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* swap the elements of two integers, for cases where you can't simply swap the * mp_int pointers around @@ -24,7 +15,3 @@ void mp_exch(mp_int *a, mp_int *b) *b = t; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_export.c b/libtommath/bn_mp_export.c deleted file mode 100644 index 5056ece..0000000 --- a/libtommath/bn_mp_export.c +++ /dev/null @@ -1,84 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_EXPORT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* based on gmp's mpz_export. - * see http://gmplib.org/manual/Integer-Import-and-Export.html - */ -int mp_export(void *rop, size_t *countp, int order, size_t size, - int endian, size_t nails, const mp_int *op) -{ - int result; - size_t odd_nails, nail_bytes, i, j, bits, count; - unsigned char odd_nail_mask; - - mp_int t; - - if ((result = mp_init_copy(&t, op)) != MP_OKAY) { - return result; - } - - if (endian == 0) { - union { - unsigned int i; - char c[4]; - } lint; - lint.i = 0x01020304; - - endian = (lint.c[0] == '\x04') ? -1 : 1; - } - - odd_nails = (nails % 8u); - odd_nail_mask = 0xff; - for (i = 0; i < odd_nails; ++i) { - odd_nail_mask ^= (unsigned char)(1u << (7u - i)); - } - nail_bytes = nails / 8u; - - bits = (size_t)mp_count_bits(&t); - count = (bits / ((size * 8u) - nails)) + (((bits % ((size * 8u) - nails)) != 0u) ? 1u : 0u); - - for (i = 0; i < count; ++i) { - for (j = 0; j < size; ++j) { - unsigned char *byte = (unsigned char *)rop + - (((order == -1) ? i : ((count - 1u) - i)) * size) + - ((endian == -1) ? j : ((size - 1u) - j)); - - if (j >= (size - nail_bytes)) { - *byte = 0; - continue; - } - - *byte = (unsigned char)((j == ((size - nail_bytes) - 1u)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFFuL)); - - if ((result = mp_div_2d(&t, (j == ((size - nail_bytes) - 1u)) ? (int)(8u - odd_nails) : 8, &t, NULL)) != MP_OKAY) { - mp_clear(&t); - return result; - } - } - } - - mp_clear(&t); - - if (countp != NULL) { - *countp = count; - } - - return MP_OKAY; -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_expt_d.c b/libtommath/bn_mp_expt_d.c deleted file mode 100644 index 7fcb2b2..0000000 --- a/libtommath/bn_mp_expt_d.c +++ /dev/null @@ -1,25 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_EXPT_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* wrapper function for mp_expt_d_ex() */ -int mp_expt_d(const mp_int *a, mp_digit b, mp_int *c) -{ - return mp_expt_d_ex(a, b, c, 0); -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_expt_d_ex.c b/libtommath/bn_mp_expt_d_ex.c deleted file mode 100644 index 3f4c0e7..0000000 --- a/libtommath/bn_mp_expt_d_ex.c +++ /dev/null @@ -1,79 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_EXPT_D_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* calculate c = a**b using a square-multiply algorithm */ -int mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) -{ - int res; - unsigned int x; - - mp_int g; - - if ((res = mp_init_copy(&g, a)) != MP_OKAY) { - return res; - } - - /* set initial result */ - mp_set(c, 1uL); - - if (fast != 0) { - while (b > 0u) { - /* if the bit is set multiply */ - if ((b & 1u) != 0u) { - if ((res = mp_mul(c, &g, c)) != MP_OKAY) { - mp_clear(&g); - return res; - } - } - - /* square */ - if (b > 1u) { - if ((res = mp_sqr(&g, &g)) != MP_OKAY) { - mp_clear(&g); - return res; - } - } - - /* shift to next bit */ - b >>= 1; - } - } else { - for (x = 0; x < (unsigned)DIGIT_BIT; x++) { - /* square */ - if ((res = mp_sqr(c, c)) != MP_OKAY) { - mp_clear(&g); - return res; - } - - /* if the bit is set multiply */ - if ((b & ((mp_digit)1 << (DIGIT_BIT - 1))) != 0u) { - if ((res = mp_mul(c, &g, c)) != MP_OKAY) { - mp_clear(&g); - return res; - } - } - - /* shift to next bit */ - b <<= 1; - } - } /* if ... else */ - - mp_clear(&g); - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_expt_u32.c b/libtommath/bn_mp_expt_u32.c new file mode 100644 index 0000000..2ab67ba --- /dev/null +++ b/libtommath/bn_mp_expt_u32.c @@ -0,0 +1,46 @@ +#include "tommath_private.h" +#ifdef BN_MP_EXPT_U32_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* calculate c = a**b using a square-multiply algorithm */ +mp_err mp_expt_u32(const mp_int *a, uint32_t b, mp_int *c) +{ + mp_err err; + + mp_int g; + + if ((err = mp_init_copy(&g, a)) != MP_OKAY) { + return err; + } + + /* set initial result */ + mp_set(c, 1uL); + + while (b > 0u) { + /* if the bit is set multiply */ + if ((b & 1u) != 0u) { + if ((err = mp_mul(c, &g, c)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* square */ + if (b > 1u) { + if ((err = mp_sqr(&g, &g)) != MP_OKAY) { + goto LBL_ERR; + } + } + + /* shift to next bit */ + b >>= 1; + } + + err = MP_OKAY; + +LBL_ERR: + mp_clear(&g); + return err; +} + +#endif diff --git a/libtommath/bn_mp_exptmod.c b/libtommath/bn_mp_exptmod.c index 2432e4f..5f811eb 100644 --- a/libtommath/bn_mp_exptmod.c +++ b/libtommath/bn_mp_exptmod.c @@ -1,24 +1,14 @@ #include "tommath_private.h" #ifdef BN_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* this is a shell function that calls either the normal or Montgomery * exptmod functions. Originally the call to the montgomery code was * embedded in the normal function but that wasted alot of stack space * for nothing (since 99% of the time the Montgomery code would be called) */ -int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y) +mp_err mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y) { int dr; @@ -29,81 +19,58 @@ int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y) /* if exponent X is negative we have to recurse */ if (X->sign == MP_NEG) { -#ifdef BN_MP_INVMOD_C mp_int tmpG, tmpX; - int err; + mp_err err; - /* first compute 1/G mod P */ - if ((err = mp_init(&tmpG)) != MP_OKAY) { + if (!MP_HAS(MP_INVMOD)) { + return MP_VAL; + } + + if ((err = mp_init_multi(&tmpG, &tmpX, NULL)) != MP_OKAY) { return err; } + + /* first compute 1/G mod P */ if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) { - mp_clear(&tmpG); - return err; + goto LBL_ERR; } /* now get |X| */ - if ((err = mp_init(&tmpX)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } if ((err = mp_abs(X, &tmpX)) != MP_OKAY) { - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; + goto LBL_ERR; } /* and now compute (1/G)**|X| instead of G**X [X < 0] */ err = mp_exptmod(&tmpG, &tmpX, P, Y); +LBL_ERR: mp_clear_multi(&tmpG, &tmpX, NULL); return err; -#else - /* no invmod */ - return MP_VAL; -#endif } /* modified diminished radix reduction */ -#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defined(BN_S_MP_EXPTMOD_C) - if (mp_reduce_is_2k_l(P) == MP_YES) { + if (MP_HAS(MP_REDUCE_IS_2K_L) && MP_HAS(MP_REDUCE_2K_L) && MP_HAS(S_MP_EXPTMOD) && + (mp_reduce_is_2k_l(P) == MP_YES)) { return s_mp_exptmod(G, X, P, Y, 1); } -#endif -#ifdef BN_MP_DR_IS_MODULUS_C - /* is it a DR modulus? */ - dr = mp_dr_is_modulus(P); -#else - /* default to no */ - dr = 0; -#endif + /* is it a DR modulus? default to no */ + dr = (MP_HAS(MP_DR_IS_MODULUS) && (mp_dr_is_modulus(P) == MP_YES)) ? 1 : 0; -#ifdef BN_MP_REDUCE_IS_2K_C /* if not, is it a unrestricted DR modulus? */ - if (dr == 0) { - dr = mp_reduce_is_2k(P) << 1; + if (MP_HAS(MP_REDUCE_IS_2K) && (dr == 0)) { + dr = (mp_reduce_is_2k(P) == MP_YES) ? 2 : 0; } -#endif /* if the modulus is odd or dr != 0 use the montgomery method */ -#ifdef BN_MP_EXPTMOD_FAST_C - if ((mp_isodd(P) == MP_YES) || (dr != 0)) { - return mp_exptmod_fast(G, X, P, Y, dr); - } else { -#endif -#ifdef BN_S_MP_EXPTMOD_C + if (MP_HAS(S_MP_EXPTMOD_FAST) && (MP_IS_ODD(P) || (dr != 0))) { + return s_mp_exptmod_fast(G, X, P, Y, dr); + } else if (MP_HAS(S_MP_EXPTMOD)) { /* otherwise use the generic Barrett reduction technique */ return s_mp_exptmod(G, X, P, Y, 0); -#else + } else { /* no exptmod for evens */ return MP_VAL; -#endif -#ifdef BN_MP_EXPTMOD_FAST_C } -#endif } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_exptmod_fast.c b/libtommath/bn_mp_exptmod_fast.c deleted file mode 100644 index 79cf1a2..0000000 --- a/libtommath/bn_mp_exptmod_fast.c +++ /dev/null @@ -1,319 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_EXPTMOD_FAST_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 - * - * Uses a left-to-right k-ary sliding window to compute the modular exponentiation. - * The value of k changes based on the size of the exponent. - * - * Uses Montgomery or Diminished Radix reduction [whichever appropriate] - */ - -#ifdef MP_LOW_MEM -# define TAB_SIZE 32 -#else -# define TAB_SIZE 256 -#endif - -int mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) -{ - mp_int M[TAB_SIZE], res; - mp_digit buf, mp; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - - /* use a pointer to the reduction algorithm. This allows us to use - * one of many reduction algorithms without modding the guts of - * the code with if statements everywhere. - */ - int (*redux)(mp_int *x, const mp_int *n, mp_digit rho); - - /* find window size */ - x = mp_count_bits(X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init_size(&M[1], P->alloc)) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init_size(&M[x], P->alloc)) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear(&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* determine and setup reduction code */ - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_SETUP_C - /* now setup montgomery */ - if ((err = mp_montgomery_setup(P, &mp)) != MP_OKAY) { - goto LBL_M; - } -#else - err = MP_VAL; - goto LBL_M; -#endif - - /* automatically pick the comba one if available (saves quite a few calls/ifs) */ -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if ((((P->used * 2) + 1) < (int)MP_WARRAY) && - (P->used < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { - redux = fast_mp_montgomery_reduce; - } else -#endif - { -#ifdef BN_MP_MONTGOMERY_REDUCE_C - /* use slower baseline Montgomery method */ - redux = mp_montgomery_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - } else if (redmode == 1) { -#if defined(BN_MP_DR_SETUP_C) && defined(BN_MP_DR_REDUCE_C) - /* setup DR reduction for moduli of the form B**k - b */ - mp_dr_setup(P, &mp); - redux = mp_dr_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } else { -#if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) - /* setup DR reduction for moduli of the form 2**k - b */ - if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { - goto LBL_M; - } - redux = mp_reduce_2k; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - - /* setup result */ - if ((err = mp_init_size(&res, P->alloc)) != MP_OKAY) { - goto LBL_M; - } - - /* create M table - * - - * - * The first half of the table is not computed though accept for M[0] and M[1] - */ - - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C - /* now we need R mod m */ - if ((err = mp_montgomery_calc_normalization(&res, P)) != MP_OKAY) { - goto LBL_RES; - } - - /* now set M[1] to G * R mod m */ - if ((err = mp_mulmod(G, &res, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } -#else - err = MP_VAL; - goto LBL_RES; -#endif - } else { - mp_set(&res, 1uL); - if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } - - /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ - if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - - for (x = 0; x < (winsize - 1); x++) { - if ((err = mp_sqr(&M[(size_t)1 << (winsize - 1)], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* create upper table */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul(&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&M[x], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits so break */ - if (digidx == -1) { - break; - } - /* read next digit and reset bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int)DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (mp_digit)(buf >> (DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if ((mode == 0) && (y == 0)) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if ((mode == 1) && (y == 0)) { - if ((err = mp_sqr(&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr(&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul(&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if ((mode == 2) && (bitcpy > 0)) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr(&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* get next bit of the window */ - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul(&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - if (redmode == 0) { - /* fixup result if Montgomery reduction is used - * recall that any value in a Montgomery system is - * actually multiplied by R mod n. So we have - * to reduce one more time to cancel out the factor - * of R. - */ - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* swap res with Y */ - mp_exch(&res, Y); - err = MP_OKAY; -LBL_RES: - mp_clear(&res); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear(&M[x]); - } - return err; -} -#endif - - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_exteuclid.c b/libtommath/bn_mp_exteuclid.c index ce0b0a5..faf47ba 100644 --- a/libtommath/bn_mp_exteuclid.c +++ b/libtommath/bn_mp_exteuclid.c @@ -1,24 +1,15 @@ #include "tommath_private.h" #ifdef BN_MP_EXTEUCLID_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* Extended euclidean algorithm of (a, b) produces a*u1 + b*u2 = u3 */ -int mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) +mp_err mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) { mp_int u1, u2, u3, v1, v2, v3, t1, t2, t3, q, tmp; - int err; + mp_err err; if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) { return err; @@ -26,77 +17,41 @@ int mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_in /* initialize, (u1,u2,u3) = (1,0,a) */ mp_set(&u1, 1uL); - if ((err = mp_copy(a, &u3)) != MP_OKAY) { - goto LBL_ERR; - } + if ((err = mp_copy(a, &u3)) != MP_OKAY) goto LBL_ERR; /* initialize, (v1,v2,v3) = (0,1,b) */ mp_set(&v2, 1uL); - if ((err = mp_copy(b, &v3)) != MP_OKAY) { - goto LBL_ERR; - } + if ((err = mp_copy(b, &v3)) != MP_OKAY) goto LBL_ERR; /* loop while v3 != 0 */ - while (mp_iszero(&v3) == MP_NO) { + while (!MP_IS_ZERO(&v3)) { /* q = u3/v3 */ - if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { - goto LBL_ERR; - } + if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) goto LBL_ERR; /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */ - if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { - goto LBL_ERR; - } + if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) goto LBL_ERR; /* (u1,u2,u3) = (v1,v2,v3) */ - if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { - goto LBL_ERR; - } + if ((err = mp_copy(&v1, &u1)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_copy(&v2, &u2)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_copy(&v3, &u3)) != MP_OKAY) goto LBL_ERR; /* (v1,v2,v3) = (t1,t2,t3) */ - if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { - goto LBL_ERR; - } + if ((err = mp_copy(&t1, &v1)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_copy(&t2, &v2)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_copy(&t3, &v3)) != MP_OKAY) goto LBL_ERR; } /* make sure U3 >= 0 */ if (u3.sign == MP_NEG) { - if ((err = mp_neg(&u1, &u1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_neg(&u2, &u2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((err = mp_neg(&u3, &u3)) != MP_OKAY) { - goto LBL_ERR; - } + if ((err = mp_neg(&u1, &u1)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_neg(&u2, &u2)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_neg(&u3, &u3)) != MP_OKAY) goto LBL_ERR; } /* copy result out */ @@ -116,7 +71,3 @@ LBL_ERR: return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_fread.c b/libtommath/bn_mp_fread.c index 0218e4f..52ea773 100644 --- a/libtommath/bn_mp_fread.c +++ b/libtommath/bn_mp_fread.c @@ -1,29 +1,17 @@ #include "tommath_private.h" #ifdef BN_MP_FREAD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ -#ifndef LTM_NO_FILE +#ifndef MP_NO_FILE /* read a bigint from a file stream in ASCII */ -int mp_fread(mp_int *a, int radix, FILE *stream) +mp_err mp_fread(mp_int *a, int radix, FILE *stream) { - int err, ch, neg, y; - unsigned pos; - - /* clear a */ - mp_zero(a); + mp_err err; + mp_sign neg; /* if first digit is - then set negative */ - ch = fgetc(stream); + int ch = fgetc(stream); if (ch == (int)'-') { neg = MP_NEG; ch = fgetc(stream); @@ -31,8 +19,17 @@ int mp_fread(mp_int *a, int radix, FILE *stream) neg = MP_ZPOS; } - for (;;) { - pos = (unsigned)(ch - (int)'('); + /* no digits, return error */ + if (ch == EOF) { + return MP_ERR; + } + + /* clear a */ + mp_zero(a); + + do { + int y; + unsigned pos = (unsigned)(ch - (int)'('); if (mp_s_rmap_reverse_sz < pos) { break; } @@ -50,10 +47,9 @@ int mp_fread(mp_int *a, int radix, FILE *stream) if ((err = mp_add_d(a, (mp_digit)y, a)) != MP_OKAY) { return err; } + } while ((ch = fgetc(stream)) != EOF); - ch = fgetc(stream); - } - if (mp_cmp_d(a, 0uL) != MP_EQ) { + if (a->used != 0) { a->sign = neg; } @@ -62,7 +58,3 @@ int mp_fread(mp_int *a, int radix, FILE *stream) #endif #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_from_sbin.c b/libtommath/bn_mp_from_sbin.c new file mode 100644 index 0000000..20e4597 --- /dev/null +++ b/libtommath/bn_mp_from_sbin.c @@ -0,0 +1,25 @@ +#include "tommath_private.h" +#ifdef BN_MP_FROM_SBIN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* read signed bin, big endian, first byte is 0==positive or 1==negative */ +mp_err mp_from_sbin(mp_int *a, const unsigned char *buf, size_t size) +{ + mp_err err; + + /* read magnitude */ + if ((err = mp_from_ubin(a, buf + 1, size - 1u)) != MP_OKAY) { + return err; + } + + /* first byte is 0 for positive, non-zero for negative */ + if (buf[0] == (unsigned char)0) { + a->sign = MP_ZPOS; + } else { + a->sign = MP_NEG; + } + + return MP_OKAY; +} +#endif diff --git a/libtommath/bn_mp_from_ubin.c b/libtommath/bn_mp_from_ubin.c new file mode 100644 index 0000000..7f73cbc --- /dev/null +++ b/libtommath/bn_mp_from_ubin.c @@ -0,0 +1,39 @@ +#include "tommath_private.h" +#ifdef BN_MP_FROM_UBIN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* reads a unsigned char array, assumes the msb is stored first [big endian] */ +mp_err mp_from_ubin(mp_int *a, const unsigned char *buf, size_t size) +{ + mp_err err; + + /* make sure there are at least two digits */ + if (a->alloc < 2) { + if ((err = mp_grow(a, 2)) != MP_OKAY) { + return err; + } + } + + /* zero the int */ + mp_zero(a); + + /* read the bytes in */ + while (size-- > 0u) { + if ((err = mp_mul_2d(a, 8, a)) != MP_OKAY) { + return err; + } + +#ifndef MP_8BIT + a->dp[0] |= *buf++; + a->used += 1; +#else + a->dp[0] = (*buf & MP_MASK); + a->dp[1] |= ((*buf++ >> 7) & 1u); + a->used += 2; +#endif + } + mp_clamp(a); + return MP_OKAY; +} +#endif diff --git a/libtommath/bn_mp_fwrite.c b/libtommath/bn_mp_fwrite.c index bbca016..abe2e67 100644 --- a/libtommath/bn_mp_fwrite.c +++ b/libtommath/bn_mp_fwrite.c @@ -1,51 +1,45 @@ #include "tommath_private.h" #ifdef BN_MP_FWRITE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -#ifndef LTM_NO_FILE -int mp_fwrite(const mp_int *a, int radix, FILE *stream) +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +#ifndef MP_NO_FILE +mp_err mp_fwrite(const mp_int *a, int radix, FILE *stream) { char *buf; - int err, len, x; - - if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { - return err; + mp_err err; + int len; + size_t written; + + /* TODO: this function is not in this PR */ + if (MP_HAS(MP_RADIX_SIZE_OVERESTIMATE)) { + /* if ((err = mp_radix_size_overestimate(&t, base, &len)) != MP_OKAY) goto LBL_ERR; */ + } else { + if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { + return err; + } } - buf = OPT_CAST(char) XMALLOC((size_t)len); + buf = (char *) MP_MALLOC((size_t)len); if (buf == NULL) { return MP_MEM; } - if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) { - XFREE(buf); - return err; + if ((err = mp_to_radix(a, buf, (size_t)len, &written, radix)) != MP_OKAY) { + goto LBL_ERR; } - for (x = 0; x < len; x++) { - if (fputc((int)buf[x], stream) == EOF) { - XFREE(buf); - return MP_VAL; - } + if (fwrite(buf, written, 1uL, stream) != 1uL) { + err = MP_ERR; + goto LBL_ERR; } + err = MP_OKAY; + - XFREE(buf); - return MP_OKAY; +LBL_ERR: + MP_FREE_BUFFER(buf, (size_t)len); + return err; } #endif #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_gcd.c b/libtommath/bn_mp_gcd.c index df372d9..53029ba 100644 --- a/libtommath/bn_mp_gcd.c +++ b/libtommath/bn_mp_gcd.c @@ -1,37 +1,29 @@ #include "tommath_private.h" #ifdef BN_MP_GCD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* Greatest Common Divisor using the binary method */ -int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c) +mp_err mp_gcd(const mp_int *a, const mp_int *b, mp_int *c) { mp_int u, v; - int k, u_lsb, v_lsb, res; + int k, u_lsb, v_lsb; + mp_err err; /* either zero than gcd is the largest */ - if (mp_iszero(a) == MP_YES) { + if (MP_IS_ZERO(a)) { return mp_abs(b, c); } - if (mp_iszero(b) == MP_YES) { + if (MP_IS_ZERO(b)) { return mp_abs(a, c); } /* get copies of a and b we can modify */ - if ((res = mp_init_copy(&u, a)) != MP_OKAY) { - return res; + if ((err = mp_init_copy(&u, a)) != MP_OKAY) { + return err; } - if ((res = mp_init_copy(&v, b)) != MP_OKAY) { + if ((err = mp_init_copy(&v, b)) != MP_OKAY) { goto LBL_U; } @@ -41,33 +33,33 @@ int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c) /* B1. Find the common power of two for u and v */ u_lsb = mp_cnt_lsb(&u); v_lsb = mp_cnt_lsb(&v); - k = MIN(u_lsb, v_lsb); + k = MP_MIN(u_lsb, v_lsb); if (k > 0) { /* divide the power of two out */ - if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { + if ((err = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { goto LBL_V; } - if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { + if ((err = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { goto LBL_V; } } /* divide any remaining factors of two out */ if (u_lsb != k) { - if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { + if ((err = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { goto LBL_V; } } if (v_lsb != k) { - if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { + if ((err = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { goto LBL_V; } } - while (mp_iszero(&v) == MP_NO) { + while (!MP_IS_ZERO(&v)) { /* make sure v is the largest */ if (mp_cmp_mag(&u, &v) == MP_GT) { /* swap u and v to make sure v is >= u */ @@ -75,30 +67,26 @@ int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c) } /* subtract smallest from largest */ - if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { + if ((err = s_mp_sub(&v, &u, &v)) != MP_OKAY) { goto LBL_V; } /* Divide out all factors of two */ - if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { + if ((err = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { goto LBL_V; } } /* multiply by 2**k which we divided out at the beginning */ - if ((res = mp_mul_2d(&u, k, c)) != MP_OKAY) { + if ((err = mp_mul_2d(&u, k, c)) != MP_OKAY) { goto LBL_V; } c->sign = MP_ZPOS; - res = MP_OKAY; + err = MP_OKAY; LBL_V: mp_clear(&u); LBL_U: mp_clear(&v); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_get_bit.c b/libtommath/bn_mp_get_bit.c deleted file mode 100644 index fc2d76e..0000000 --- a/libtommath/bn_mp_get_bit.c +++ /dev/null @@ -1,54 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_GET_BIT_C - -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* Checks the bit at position b and returns MP_YES - if the bit is 1, MP_NO if it is 0 and MP_VAL - in case of error */ -int mp_get_bit(const mp_int *a, int b) -{ - int limb; - mp_digit bit, isset; - - if (b < 0) { - return MP_VAL; - } - - limb = b / DIGIT_BIT; - - /* - * Zero is a special value with the member "used" set to zero. - * Needs to be tested before the check for the upper boundary - * otherwise (limb >= a->used) would be true for a = 0 - */ - - if (mp_iszero(a) != MP_NO) { - return MP_NO; - } - - if (limb >= a->used) { - return MP_VAL; - } - - bit = (mp_digit)(1) << (b % DIGIT_BIT); - - isset = a->dp[limb] & bit; - return (isset != 0u) ? MP_YES : MP_NO; -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_get_i32.c b/libtommath/bn_mp_get_i32.c new file mode 100644 index 0000000..030b657 --- /dev/null +++ b/libtommath/bn_mp_get_i32.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_GET_I32_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_GET_SIGNED(mp_get_i32, mp_get_mag_u32, int32_t, uint32_t) +#endif diff --git a/libtommath/bn_mp_get_i64.c b/libtommath/bn_mp_get_i64.c new file mode 100644 index 0000000..969c8d2 --- /dev/null +++ b/libtommath/bn_mp_get_i64.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_GET_I64_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_GET_SIGNED(mp_get_i64, mp_get_mag_u64, int64_t, uint64_t) +#endif diff --git a/libtommath/bn_mp_get_int.c b/libtommath/bn_mp_get_int.c deleted file mode 100644 index 049d05e..0000000 --- a/libtommath/bn_mp_get_int.c +++ /dev/null @@ -1,42 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_GET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(const mp_int *a) -{ - int i; - mp_min_u32 res; - - if (a->used == 0) { - return 0; - } - - /* get number of digits of the lsb we have to read */ - i = MIN(a->used, ((((int)sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; - - /* get most significant digit of result */ - res = DIGIT(a, i); - - while (--i >= 0) { - res = (res << DIGIT_BIT) | DIGIT(a, i); - } - - /* force result to 32-bits always so it is consistent on non 32-bit platforms */ - return res & 0xFFFFFFFFUL; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_get_l.c b/libtommath/bn_mp_get_l.c new file mode 100644 index 0000000..55d78ec --- /dev/null +++ b/libtommath/bn_mp_get_l.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_GET_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_GET_SIGNED(mp_get_l, mp_get_mag_ul, long, unsigned long) +#endif diff --git a/libtommath/bn_mp_get_ll.c b/libtommath/bn_mp_get_ll.c new file mode 100644 index 0000000..2687534 --- /dev/null +++ b/libtommath/bn_mp_get_ll.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_GET_LL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_GET_SIGNED(mp_get_ll, mp_get_mag_ull, long long, unsigned long long) +#endif diff --git a/libtommath/bn_mp_get_long.c b/libtommath/bn_mp_get_long.c deleted file mode 100644 index aba0d5e..0000000 --- a/libtommath/bn_mp_get_long.c +++ /dev/null @@ -1,42 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_GET_LONG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* get the lower unsigned long of an mp_int, platform dependent */ -unsigned long mp_get_long(const mp_int *a) -{ - int i; - unsigned long res; - - if (a->used == 0) { - return 0; - } - - /* get number of digits of the lsb we have to read */ - i = MIN(a->used, ((((int)sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; - - /* get most significant digit of result */ - res = DIGIT(a, i); - -#if (ULONG_MAX != 0xffffffffuL) || (DIGIT_BIT < 32) - while (--i >= 0) { - res = (res << DIGIT_BIT) | DIGIT(a, i); - } -#endif - return res; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_get_long_long.c b/libtommath/bn_mp_get_long_long.c deleted file mode 100644 index 587c727..0000000 --- a/libtommath/bn_mp_get_long_long.c +++ /dev/null @@ -1,42 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_GET_LONG_LONG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* get the lower unsigned long long of an mp_int, platform dependent */ -unsigned long long mp_get_long_long(const mp_int *a) -{ - int i; - unsigned long long res; - - if (a->used == 0) { - return 0; - } - - /* get number of digits of the lsb we have to read */ - i = MIN(a->used, ((((int)sizeof(unsigned long long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; - - /* get most significant digit of result */ - res = DIGIT(a, i); - -#if DIGIT_BIT < 64 - while (--i >= 0) { - res = (res << DIGIT_BIT) | DIGIT(a, i); - } -#endif - return res; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_get_mag_u32.c b/libtommath/bn_mp_get_mag_u32.c new file mode 100644 index 0000000..d77189b --- /dev/null +++ b/libtommath/bn_mp_get_mag_u32.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_GET_MAG_U32_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_GET_MAG(mp_get_mag_u32, uint32_t) +#endif diff --git a/libtommath/bn_mp_get_mag_u64.c b/libtommath/bn_mp_get_mag_u64.c new file mode 100644 index 0000000..36dd73f --- /dev/null +++ b/libtommath/bn_mp_get_mag_u64.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_GET_MAG_U64_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_GET_MAG(mp_get_mag_u64, uint64_t) +#endif diff --git a/libtommath/bn_mp_get_mag_ul.c b/libtommath/bn_mp_get_mag_ul.c new file mode 100644 index 0000000..e8819ae --- /dev/null +++ b/libtommath/bn_mp_get_mag_ul.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_GET_MAG_UL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_GET_MAG(mp_get_mag_ul, unsigned long) +#endif diff --git a/libtommath/bn_mp_get_mag_ull.c b/libtommath/bn_mp_get_mag_ull.c new file mode 100644 index 0000000..63a2741 --- /dev/null +++ b/libtommath/bn_mp_get_mag_ull.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_GET_MAG_ULL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_GET_MAG(mp_get_mag_ull, unsigned long long) +#endif diff --git a/libtommath/bn_mp_grow.c b/libtommath/bn_mp_grow.c index bb77565..9e904c5 100644 --- a/libtommath/bn_mp_grow.c +++ b/libtommath/bn_mp_grow.c @@ -1,35 +1,25 @@ #include "tommath_private.h" #ifdef BN_MP_GROW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* grow as required */ -int mp_grow(mp_int *a, int size) +mp_err mp_grow(mp_int *a, int size) { int i; mp_digit *tmp; /* if the alloc size is smaller alloc more ram */ if (a->alloc < size) { - /* ensure there are always at least MP_PREC digits extra on top */ - size += (MP_PREC * 2) - (size % MP_PREC); - /* reallocate the array a->dp * * We store the return in a temporary variable * in case the operation failed we don't want * to overwrite the dp member of a. */ - tmp = OPT_CAST(mp_digit) XREALLOC(a->dp, sizeof(mp_digit) * (size_t)size); + tmp = (mp_digit *) MP_REALLOC(a->dp, + (size_t)a->alloc * sizeof(mp_digit), + (size_t)size * sizeof(mp_digit)); if (tmp == NULL) { /* reallocation failed but "a" is still valid [can be freed] */ return MP_MEM; @@ -41,14 +31,8 @@ int mp_grow(mp_int *a, int size) /* zero excess digits */ i = a->alloc; a->alloc = size; - for (; i < a->alloc; i++) { - a->dp[i] = 0; - } + MP_ZERO_DIGITS(a->dp + i, a->alloc - i); } return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_import.c b/libtommath/bn_mp_import.c deleted file mode 100644 index fb74611..0000000 --- a/libtommath/bn_mp_import.c +++ /dev/null @@ -1,68 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_IMPORT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* based on gmp's mpz_import. - * see http://gmplib.org/manual/Integer-Import-and-Export.html - */ -int mp_import(mp_int *rop, size_t count, int order, size_t size, - int endian, size_t nails, const void *op) -{ - int result; - size_t odd_nails, nail_bytes, i, j; - unsigned char odd_nail_mask; - - mp_zero(rop); - - if (endian == 0) { - union { - unsigned int i; - char c[4]; - } lint; - lint.i = 0x01020304; - - endian = (lint.c[0] == '\x04') ? -1 : 1; - } - - odd_nails = (nails % 8u); - odd_nail_mask = 0xff; - for (i = 0; i < odd_nails; ++i) { - odd_nail_mask ^= (unsigned char)(1u << (7u - i)); - } - nail_bytes = nails / 8u; - - for (i = 0; i < count; ++i) { - for (j = 0; j < (size - nail_bytes); ++j) { - unsigned char byte = *((unsigned char *)op + - (((order == 1) ? i : ((count - 1u) - i)) * size) + - ((endian == 1) ? (j + nail_bytes) : (((size - 1u) - j) - nail_bytes))); - - if ((result = mp_mul_2d(rop, (j == 0u) ? (int)(8u - odd_nails) : 8, rop)) != MP_OKAY) { - return result; - } - - rop->dp[0] |= (j == 0u) ? (mp_digit)(byte & odd_nail_mask) : (mp_digit)byte; - rop->used += 1; - } - } - - mp_clamp(rop); - - return MP_OKAY; -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_incr.c b/libtommath/bn_mp_incr.c new file mode 100644 index 0000000..7695ac7 --- /dev/null +++ b/libtommath/bn_mp_incr.c @@ -0,0 +1,30 @@ +#include "tommath_private.h" +#ifdef BN_MP_INCR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* Increment "a" by one like "a++". Changes input! */ +mp_err mp_incr(mp_int *a) +{ + if (MP_IS_ZERO(a)) { + mp_set(a,1uL); + return MP_OKAY; + } else if (a->sign == MP_NEG) { + mp_err err; + a->sign = MP_ZPOS; + if ((err = mp_decr(a)) != MP_OKAY) { + return err; + } + /* There is no -0 in LTM */ + if (!MP_IS_ZERO(a)) { + a->sign = MP_NEG; + } + return MP_OKAY; + } else if (a->dp[0] < MP_DIGIT_MAX) { + a->dp[0]++; + return MP_OKAY; + } else { + return mp_add_d(a, 1uL,a); + } +} +#endif diff --git a/libtommath/bn_mp_init.c b/libtommath/bn_mp_init.c index 9640591..2eb7924 100644 --- a/libtommath/bn_mp_init.c +++ b/libtommath/bn_mp_init.c @@ -1,33 +1,17 @@ #include "tommath_private.h" #ifdef BN_MP_INIT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* init a new mp_int */ -int mp_init(mp_int *a) +mp_err mp_init(mp_int *a) { - int i; - /* allocate memory required and clear it */ - a->dp = OPT_CAST(mp_digit) XMALLOC(sizeof(mp_digit) * (size_t)MP_PREC); + a->dp = (mp_digit *) MP_CALLOC((size_t)MP_PREC, sizeof(mp_digit)); if (a->dp == NULL) { return MP_MEM; } - /* set the digits to zero */ - for (i = 0; i < MP_PREC; i++) { - a->dp[i] = 0; - } - /* set the used to zero, allocated digits to the default precision * and sign to positive */ a->used = 0; @@ -37,7 +21,3 @@ int mp_init(mp_int *a) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_init_copy.c b/libtommath/bn_mp_init_copy.c index c25a84f..1888203 100644 --- a/libtommath/bn_mp_init_copy.c +++ b/libtommath/bn_mp_init_copy.c @@ -1,34 +1,21 @@ #include "tommath_private.h" #ifdef BN_MP_INIT_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* creates "a" then copies b into it */ -int mp_init_copy(mp_int *a, const mp_int *b) +mp_err mp_init_copy(mp_int *a, const mp_int *b) { - int res; + mp_err err; - if ((res = mp_init_size(a, b->used)) != MP_OKAY) { - return res; + if ((err = mp_init_size(a, b->used)) != MP_OKAY) { + return err; } - if ((res = mp_copy(b, a)) != MP_OKAY) { + if ((err = mp_copy(b, a)) != MP_OKAY) { mp_clear(a); } - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_init_i32.c b/libtommath/bn_mp_init_i32.c new file mode 100644 index 0000000..bc4de8d --- /dev/null +++ b/libtommath/bn_mp_init_i32.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_INIT_I32_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_INIT_INT(mp_init_i32, mp_set_i32, int32_t) +#endif diff --git a/libtommath/bn_mp_init_i64.c b/libtommath/bn_mp_init_i64.c new file mode 100644 index 0000000..2fa1516 --- /dev/null +++ b/libtommath/bn_mp_init_i64.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_INIT_I64_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_INIT_INT(mp_init_i64, mp_set_i64, int64_t) +#endif diff --git a/libtommath/bn_mp_init_l.c b/libtommath/bn_mp_init_l.c new file mode 100644 index 0000000..bc380b5 --- /dev/null +++ b/libtommath/bn_mp_init_l.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_INIT_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_INIT_INT(mp_init_l, mp_set_l, long) +#endif diff --git a/libtommath/bn_mp_init_ll.c b/libtommath/bn_mp_init_ll.c new file mode 100644 index 0000000..dc7c4a4 --- /dev/null +++ b/libtommath/bn_mp_init_ll.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_INIT_LL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_INIT_INT(mp_init_ll, mp_set_ll, long long) +#endif diff --git a/libtommath/bn_mp_init_multi.c b/libtommath/bn_mp_init_multi.c index f89c410..d8390b5 100644 --- a/libtommath/bn_mp_init_multi.c +++ b/libtommath/bn_mp_init_multi.c @@ -1,22 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_INIT_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ #include -int mp_init_multi(mp_int *mp, ...) +mp_err mp_init_multi(mp_int *mp, ...) { - mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ + mp_err err = MP_OKAY; /* Assume ok until proven otherwise */ int n = 0; /* Number of ok inits */ mp_int *cur_arg = mp; va_list args; @@ -37,18 +28,14 @@ int mp_init_multi(mp_int *mp, ...) cur_arg = va_arg(clean_args, mp_int *); } va_end(clean_args); - res = MP_MEM; + err = MP_MEM; break; } n++; cur_arg = va_arg(args, mp_int *); } va_end(args); - return res; /* Assumed ok, if error flagged above. */ + return err; /* Assumed ok, if error flagged above. */ } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_init_set.c b/libtommath/bn_mp_init_set.c index 326c574..5068f2b 100644 --- a/libtommath/bn_mp_init_set.c +++ b/libtommath/bn_mp_init_set.c @@ -1,21 +1,12 @@ #include "tommath_private.h" #ifdef BN_MP_INIT_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* initialize and set a digit */ -int mp_init_set(mp_int *a, mp_digit b) +mp_err mp_init_set(mp_int *a, mp_digit b) { - int err; + mp_err err; if ((err = mp_init(a)) != MP_OKAY) { return err; } @@ -23,7 +14,3 @@ int mp_init_set(mp_int *a, mp_digit b) return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_init_set_int.c b/libtommath/bn_mp_init_set_int.c deleted file mode 100644 index a382ccd..0000000 --- a/libtommath/bn_mp_init_set_int.c +++ /dev/null @@ -1,28 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_INIT_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* initialize and set a digit */ -int mp_init_set_int(mp_int *a, unsigned long b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - return mp_set_int(a, b); -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_init_size.c b/libtommath/bn_mp_init_size.c index e8a1d68..d622687 100644 --- a/libtommath/bn_mp_init_size.c +++ b/libtommath/bn_mp_init_size.c @@ -1,27 +1,15 @@ #include "tommath_private.h" #ifdef BN_MP_INIT_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* init an mp_init for a given size */ -int mp_init_size(mp_int *a, int size) +mp_err mp_init_size(mp_int *a, int size) { - int x; - - /* pad size so there are always extra digits */ - size += (MP_PREC * 2) - (size % MP_PREC); + size = MP_MAX(MP_MIN_PREC, size); /* alloc mem */ - a->dp = OPT_CAST(mp_digit) XMALLOC(sizeof(mp_digit) * (size_t)size); + a->dp = (mp_digit *) MP_CALLOC((size_t)size, sizeof(mp_digit)); if (a->dp == NULL) { return MP_MEM; } @@ -31,15 +19,6 @@ int mp_init_size(mp_int *a, int size) a->alloc = size; a->sign = MP_ZPOS; - /* zero the digits */ - for (x = 0; x < size; x++) { - a->dp[x] = 0; - } - return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_init_u32.c b/libtommath/bn_mp_init_u32.c new file mode 100644 index 0000000..015d89b --- /dev/null +++ b/libtommath/bn_mp_init_u32.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_INIT_U32_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_INIT_INT(mp_init_u32, mp_set_u32, uint32_t) +#endif diff --git a/libtommath/bn_mp_init_u64.c b/libtommath/bn_mp_init_u64.c new file mode 100644 index 0000000..2b35f7e --- /dev/null +++ b/libtommath/bn_mp_init_u64.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_INIT_U64_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_INIT_INT(mp_init_u64, mp_set_u64, uint64_t) +#endif diff --git a/libtommath/bn_mp_init_ul.c b/libtommath/bn_mp_init_ul.c new file mode 100644 index 0000000..5164f72 --- /dev/null +++ b/libtommath/bn_mp_init_ul.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_INIT_UL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_INIT_INT(mp_init_ul, mp_set_ul, unsigned long) +#endif diff --git a/libtommath/bn_mp_init_ull.c b/libtommath/bn_mp_init_ull.c new file mode 100644 index 0000000..84110c0 --- /dev/null +++ b/libtommath/bn_mp_init_ull.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_INIT_ULL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_INIT_INT(mp_init_ull, mp_set_ull, unsigned long long) +#endif diff --git a/libtommath/bn_mp_invmod.c b/libtommath/bn_mp_invmod.c index d205418..7b35a24 100644 --- a/libtommath/bn_mp_invmod.c +++ b/libtommath/bn_mp_invmod.c @@ -1,40 +1,23 @@ #include "tommath_private.h" #ifdef BN_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* hac 14.61, pp608 */ -int mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) +mp_err mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) { /* b cannot be negative and has to be >1 */ if ((b->sign == MP_NEG) || (mp_cmp_d(b, 1uL) != MP_GT)) { return MP_VAL; } -#ifdef BN_FAST_MP_INVMOD_C /* if the modulus is odd we can use a faster routine instead */ - if ((mp_isodd(b) == MP_YES)) { - return fast_mp_invmod(a, b, c); + if (MP_HAS(S_MP_INVMOD_FAST) && MP_IS_ODD(b)) { + return s_mp_invmod_fast(a, b, c); } -#endif -#ifdef BN_MP_INVMOD_SLOW_C - return mp_invmod_slow(a, b, c); -#else - return MP_VAL; -#endif + return MP_HAS(S_MP_INVMOD_SLOW) + ? s_mp_invmod_slow(a, b, c) + : MP_VAL; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_invmod_slow.c b/libtommath/bn_mp_invmod_slow.c deleted file mode 100644 index bcc5d7f..0000000 --- a/libtommath/bn_mp_invmod_slow.c +++ /dev/null @@ -1,173 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_INVMOD_SLOW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* hac 14.61, pp608 */ -int mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c) -{ - mp_int x, y, u, v, A, B, C, D; - int res; - - /* b cannot be negative */ - if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { - return MP_VAL; - } - - /* init temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, - &A, &B, &C, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x = a, y = b */ - if ((res = mp_mod(a, b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy(b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* 2. [modified] if x,y are both even then return an error! */ - if ((mp_iseven(&x) == MP_YES) && (mp_iseven(&y) == MP_YES)) { - res = MP_VAL; - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy(&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy(&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set(&A, 1uL); - mp_set(&D, 1uL); - -top: - /* 4. while u is even do */ - while (mp_iseven(&u) == MP_YES) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2(&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if A or B is odd then */ - if ((mp_isodd(&A) == MP_YES) || (mp_isodd(&B) == MP_YES)) { - /* A = (A+y)/2, B = (B-x)/2 */ - if ((res = mp_add(&A, &y, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* A = A/2, B = B/2 */ - if ((res = mp_div_2(&A, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2(&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven(&v) == MP_YES) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2(&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if C or D is odd then */ - if ((mp_isodd(&C) == MP_YES) || (mp_isodd(&D) == MP_YES)) { - /* C = (C+y)/2, D = (D-x)/2 */ - if ((res = mp_add(&C, &y, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* C = C/2, D = D/2 */ - if ((res = mp_div_2(&C, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2(&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp(&u, &v) != MP_LT) { - /* u = u - v, A = A - C, B = B - D */ - if ((res = mp_sub(&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub(&A, &C, &A)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub(&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, C = C - A, D = D - B */ - if ((res = mp_sub(&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub(&C, &A, &C)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub(&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero(&u) == MP_NO) - goto top; - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d(&v, 1uL) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* if its too low */ - while (mp_cmp_d(&C, 0uL) == MP_LT) { - if ((res = mp_add(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* too big */ - while (mp_cmp_mag(&C, b) != MP_LT) { - if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* C is now the inverse */ - mp_exch(&C, c); - res = MP_OKAY; -LBL_ERR: - mp_clear_multi(&x, &y, &u, &v, &A, &B, &C, &D, NULL); - return res; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_is_square.c b/libtommath/bn_mp_is_square.c index b1d2116..69e77a2 100644 --- a/libtommath/bn_mp_is_square.c +++ b/libtommath/bn_mp_is_square.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_IS_SQUARE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* Check if remainders are possible squares - fast exclude non-squares */ static const char rem_128[128] = { @@ -35,9 +26,9 @@ static const char rem_105[105] = { }; /* Store non-zero to ret if arg is square, and zero if not */ -int mp_is_square(const mp_int *arg, int *ret) +mp_err mp_is_square(const mp_int *arg, mp_bool *ret) { - int res; + mp_err err; mp_digit c; mp_int t; unsigned long r; @@ -49,34 +40,33 @@ int mp_is_square(const mp_int *arg, int *ret) return MP_VAL; } - /* digits used? (TSD) */ - if (arg->used == 0) { + if (MP_IS_ZERO(arg)) { return MP_OKAY; } - /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */ - if (rem_128[127u & DIGIT(arg, 0)] == (char)1) { + /* First check mod 128 (suppose that MP_DIGIT_BIT is at least 7) */ + if (rem_128[127u & arg->dp[0]] == (char)1) { return MP_OKAY; } /* Next check mod 105 (3*5*7) */ - if ((res = mp_mod_d(arg, 105uL, &c)) != MP_OKAY) { - return res; + if ((err = mp_mod_d(arg, 105uL, &c)) != MP_OKAY) { + return err; } if (rem_105[c] == (char)1) { return MP_OKAY; } - if ((res = mp_init_set_int(&t, 11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) { - return res; + if ((err = mp_init_u32(&t, 11u*13u*17u*19u*23u*29u*31u)) != MP_OKAY) { + return err; } - if ((res = mp_mod(arg, &t, &t)) != MP_OKAY) { + if ((err = mp_mod(arg, &t, &t)) != MP_OKAY) { goto LBL_ERR; } - r = mp_get_int(&t); + r = mp_get_u32(&t); /* Check for other prime modules, note it's not an ERROR but we must - * free "t" so the easiest way is to goto LBL_ERR. We know that res + * free "t" so the easiest way is to goto LBL_ERR. We know that err * is already equal to MP_OKAY from the mp_mod call */ if (((1uL<<(r%11uL)) & 0x5C4uL) != 0uL) goto LBL_ERR; @@ -88,20 +78,16 @@ int mp_is_square(const mp_int *arg, int *ret) if (((1uL<<(r%31uL)) & 0x6DE2B848uL) != 0uL) goto LBL_ERR; /* Final check - is sqr(sqrt(arg)) == arg ? */ - if ((res = mp_sqrt(arg, &t)) != MP_OKAY) { + if ((err = mp_sqrt(arg, &t)) != MP_OKAY) { goto LBL_ERR; } - if ((res = mp_sqr(&t, &t)) != MP_OKAY) { + if ((err = mp_sqr(&t, &t)) != MP_OKAY) { goto LBL_ERR; } *ret = (mp_cmp_mag(&t, arg) == MP_EQ) ? MP_YES : MP_NO; LBL_ERR: mp_clear(&t); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_iseven.c b/libtommath/bn_mp_iseven.c new file mode 100644 index 0000000..5cb9622 --- /dev/null +++ b/libtommath/bn_mp_iseven.c @@ -0,0 +1,10 @@ +#include "tommath_private.h" +#ifdef BN_MP_ISEVEN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +mp_bool mp_iseven(const mp_int *a) +{ + return MP_IS_EVEN(a) ? MP_YES : MP_NO; +} +#endif diff --git a/libtommath/bn_mp_isodd.c b/libtommath/bn_mp_isodd.c new file mode 100644 index 0000000..bf17646 --- /dev/null +++ b/libtommath/bn_mp_isodd.c @@ -0,0 +1,10 @@ +#include "tommath_private.h" +#ifdef BN_MP_ISODD_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +mp_bool mp_isodd(const mp_int *a) +{ + return MP_IS_ODD(a) ? MP_YES : MP_NO; +} +#endif diff --git a/libtommath/bn_mp_jacobi.c b/libtommath/bn_mp_jacobi.c deleted file mode 100644 index 9f71c4d..0000000 --- a/libtommath/bn_mp_jacobi.c +++ /dev/null @@ -1,36 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_JACOBI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* computes the jacobi c = (a | n) (or Legendre if n is prime) - * Kept for legacy reasons, please use mp_kronecker() instead - */ -int mp_jacobi(const mp_int *a, const mp_int *n, int *c) -{ - /* if a < 0 return MP_VAL */ - if (mp_isneg(a) == MP_YES) { - return MP_VAL; - } - - /* if n <= 0 return MP_VAL */ - if (mp_cmp_d(n, 0uL) != MP_GT) { - return MP_VAL; - } - - return mp_kronecker(a, n, c); -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_karatsuba_mul.c b/libtommath/bn_mp_karatsuba_mul.c deleted file mode 100644 index 41b7bfa..0000000 --- a/libtommath/bn_mp_karatsuba_mul.c +++ /dev/null @@ -1,171 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_KARATSUBA_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* c = |a| * |b| using Karatsuba Multiplication using - * three half size multiplications - * - * Let B represent the radix [e.g. 2**DIGIT_BIT] and - * let n represent half of the number of digits in - * the min(a,b) - * - * a = a1 * B**n + a0 - * b = b1 * B**n + b0 - * - * Then, a * b => - a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 - * - * Note that a1b1 and a0b0 are used twice and only need to be - * computed once. So in total three half size (half # of - * digit) multiplications are performed, a0b0, a1b1 and - * (a1+b1)(a0+b0) - * - * Note that a multiplication of half the digits requires - * 1/4th the number of single precision multiplications so in - * total after one call 25% of the single precision multiplications - * are saved. Note also that the call to mp_mul can end up back - * in this function if the a0, a1, b0, or b1 are above the threshold. - * This is known as divide-and-conquer and leads to the famous - * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than - * the standard O(N**2) that the baseline/comba methods use. - * Generally though the overhead of this method doesn't pay off - * until a certain size (N ~ 80) is reached. - */ -int mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c) -{ - mp_int x0, x1, y0, y1, t1, x0y0, x1y1; - int B, err; - - /* default the return code to an error */ - err = MP_MEM; - - /* min # of digits */ - B = MIN(a->used, b->used); - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size(&x0, B) != MP_OKAY) - goto LBL_ERR; - if (mp_init_size(&x1, a->used - B) != MP_OKAY) - goto X0; - if (mp_init_size(&y0, B) != MP_OKAY) - goto X1; - if (mp_init_size(&y1, b->used - B) != MP_OKAY) - goto Y0; - - /* init temps */ - if (mp_init_size(&t1, B * 2) != MP_OKAY) - goto Y1; - if (mp_init_size(&x0y0, B * 2) != MP_OKAY) - goto T1; - if (mp_init_size(&x1y1, B * 2) != MP_OKAY) - goto X0Y0; - - /* now shift the digits */ - x0.used = y0.used = B; - x1.used = a->used - B; - y1.used = b->used - B; - - { - int x; - mp_digit *tmpa, *tmpb, *tmpx, *tmpy; - - /* we copy the digits directly instead of using higher level functions - * since we also need to shift the digits - */ - tmpa = a->dp; - tmpb = b->dp; - - tmpx = x0.dp; - tmpy = y0.dp; - for (x = 0; x < B; x++) { - *tmpx++ = *tmpa++; - *tmpy++ = *tmpb++; - } - - tmpx = x1.dp; - for (x = B; x < a->used; x++) { - *tmpx++ = *tmpa++; - } - - tmpy = y1.dp; - for (x = B; x < b->used; x++) { - *tmpy++ = *tmpb++; - } - } - - /* only need to clamp the lower words since by definition the - * upper words x1/y1 must have a known number of digits - */ - mp_clamp(&x0); - mp_clamp(&y0); - - /* now calc the products x0y0 and x1y1 */ - /* after this x0 is no longer required, free temp [x0==t2]! */ - if (mp_mul(&x0, &y0, &x0y0) != MP_OKAY) - goto X1Y1; /* x0y0 = x0*y0 */ - if (mp_mul(&x1, &y1, &x1y1) != MP_OKAY) - goto X1Y1; /* x1y1 = x1*y1 */ - - /* now calc x1+x0 and y1+y0 */ - if (s_mp_add(&x1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = x1 - x0 */ - if (s_mp_add(&y1, &y0, &x0) != MP_OKAY) - goto X1Y1; /* t2 = y1 - y0 */ - if (mp_mul(&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */ - - /* add x0y0 */ - if (mp_add(&x0y0, &x1y1, &x0) != MP_OKAY) - goto X1Y1; /* t2 = x0y0 + x1y1 */ - if (s_mp_sub(&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */ - - /* shift by B */ - if (mp_lshd(&t1, B) != MP_OKAY) - goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))< master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_karatsuba_sqr.c b/libtommath/bn_mp_karatsuba_sqr.c deleted file mode 100644 index dd87314..0000000 --- a/libtommath/bn_mp_karatsuba_sqr.c +++ /dev/null @@ -1,124 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_KARATSUBA_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* Karatsuba squaring, computes b = a*a using three - * half size squarings - * - * See comments of karatsuba_mul for details. It - * is essentially the same algorithm but merely - * tuned to perform recursive squarings. - */ -int mp_karatsuba_sqr(const mp_int *a, mp_int *b) -{ - mp_int x0, x1, t1, t2, x0x0, x1x1; - int B, err; - - err = MP_MEM; - - /* min # of digits */ - B = a->used; - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size(&x0, B) != MP_OKAY) - goto LBL_ERR; - if (mp_init_size(&x1, a->used - B) != MP_OKAY) - goto X0; - - /* init temps */ - if (mp_init_size(&t1, a->used * 2) != MP_OKAY) - goto X1; - if (mp_init_size(&t2, a->used * 2) != MP_OKAY) - goto T1; - if (mp_init_size(&x0x0, B * 2) != MP_OKAY) - goto T2; - if (mp_init_size(&x1x1, (a->used - B) * 2) != MP_OKAY) - goto X0X0; - - { - int x; - mp_digit *dst, *src; - - src = a->dp; - - /* now shift the digits */ - dst = x0.dp; - for (x = 0; x < B; x++) { - *dst++ = *src++; - } - - dst = x1.dp; - for (x = B; x < a->used; x++) { - *dst++ = *src++; - } - } - - x0.used = B; - x1.used = a->used - B; - - mp_clamp(&x0); - - /* now calc the products x0*x0 and x1*x1 */ - if (mp_sqr(&x0, &x0x0) != MP_OKAY) - goto X1X1; /* x0x0 = x0*x0 */ - if (mp_sqr(&x1, &x1x1) != MP_OKAY) - goto X1X1; /* x1x1 = x1*x1 */ - - /* now calc (x1+x0)**2 */ - if (s_mp_add(&x1, &x0, &t1) != MP_OKAY) - goto X1X1; /* t1 = x1 - x0 */ - if (mp_sqr(&t1, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ - - /* add x0y0 */ - if (s_mp_add(&x0x0, &x1x1, &t2) != MP_OKAY) - goto X1X1; /* t2 = x0x0 + x1x1 */ - if (s_mp_sub(&t1, &t2, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ - - /* shift by B */ - if (mp_lshd(&t1, B) != MP_OKAY) - goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))< master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_kronecker.c b/libtommath/bn_mp_kronecker.c index 4c70b76..525a820 100644 --- a/libtommath/bn_mp_kronecker.c +++ b/libtommath/bn_mp_kronecker.c @@ -1,17 +1,8 @@ #include "tommath_private.h" #ifdef BN_MP_KRONECKER_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* Kronecker symbol (a|p) @@ -26,43 +17,41 @@ publisher={Springer Science \& Business Media} } */ -int mp_kronecker(const mp_int *a, const mp_int *p, int *c) +mp_err mp_kronecker(const mp_int *a, const mp_int *p, int *c) { mp_int a1, p1, r; - - int e = MP_OKAY; + mp_err err; int v, k; static const int table[8] = {0, 1, 0, -1, 0, -1, 0, 1}; - if (mp_iszero(p) != MP_NO) { + if (MP_IS_ZERO(p)) { if ((a->used == 1) && (a->dp[0] == 1u)) { *c = 1; - return e; } else { *c = 0; - return e; } + return MP_OKAY; } - if ((mp_iseven(a) != MP_NO) && (mp_iseven(p) != MP_NO)) { + if (MP_IS_EVEN(a) && MP_IS_EVEN(p)) { *c = 0; - return e; + return MP_OKAY; } - if ((e = mp_init_copy(&a1, a)) != MP_OKAY) { - return e; + if ((err = mp_init_copy(&a1, a)) != MP_OKAY) { + return err; } - if ((e = mp_init_copy(&p1, p)) != MP_OKAY) { + if ((err = mp_init_copy(&p1, p)) != MP_OKAY) { goto LBL_KRON_0; } v = mp_cnt_lsb(&p1); - if ((e = mp_div_2d(&p1, v, &p1, NULL)) != MP_OKAY) { + if ((err = mp_div_2d(&p1, v, &p1, NULL)) != MP_OKAY) { goto LBL_KRON_1; } - if ((v & 0x1) == 0) { + if ((v & 1) == 0) { k = 1; } else { k = table[a->dp[0] & 7u]; @@ -75,12 +64,12 @@ int mp_kronecker(const mp_int *a, const mp_int *p, int *c) } } - if ((e = mp_init(&r)) != MP_OKAY) { + if ((err = mp_init(&r)) != MP_OKAY) { goto LBL_KRON_1; } for (;;) { - if (mp_iszero(&a1) != MP_NO) { + if (MP_IS_ZERO(&a1)) { if (mp_cmp_d(&p1, 1uL) == MP_EQ) { *c = k; goto LBL_KRON; @@ -91,11 +80,11 @@ int mp_kronecker(const mp_int *a, const mp_int *p, int *c) } v = mp_cnt_lsb(&a1); - if ((e = mp_div_2d(&a1, v, &a1, NULL)) != MP_OKAY) { + if ((err = mp_div_2d(&a1, v, &a1, NULL)) != MP_OKAY) { goto LBL_KRON; } - if ((v & 0x1) == 1) { + if ((v & 1) == 1) { k = k * table[p1.dp[0] & 7u]; } @@ -115,14 +104,14 @@ int mp_kronecker(const mp_int *a, const mp_int *p, int *c) } } - if ((e = mp_copy(&a1, &r)) != MP_OKAY) { + if ((err = mp_copy(&a1, &r)) != MP_OKAY) { goto LBL_KRON; } r.sign = MP_ZPOS; - if ((e = mp_mod(&p1, &r, &a1)) != MP_OKAY) { + if ((err = mp_mod(&p1, &r, &a1)) != MP_OKAY) { goto LBL_KRON; } - if ((e = mp_copy(&r, &p1)) != MP_OKAY) { + if ((err = mp_copy(&r, &p1)) != MP_OKAY) { goto LBL_KRON; } } @@ -134,11 +123,7 @@ LBL_KRON_1: LBL_KRON_0: mp_clear(&a1); - return e; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_lcm.c b/libtommath/bn_mp_lcm.c index 8664503..c32b269 100644 --- a/libtommath/bn_mp_lcm.c +++ b/libtommath/bn_mp_lcm.c @@ -1,46 +1,37 @@ #include "tommath_private.h" #ifdef BN_MP_LCM_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* computes least common multiple as |a*b|/(a, b) */ -int mp_lcm(const mp_int *a, const mp_int *b, mp_int *c) +mp_err mp_lcm(const mp_int *a, const mp_int *b, mp_int *c) { - int res; + mp_err err; mp_int t1, t2; - if ((res = mp_init_multi(&t1, &t2, NULL)) != MP_OKAY) { - return res; + if ((err = mp_init_multi(&t1, &t2, NULL)) != MP_OKAY) { + return err; } /* t1 = get the GCD of the two inputs */ - if ((res = mp_gcd(a, b, &t1)) != MP_OKAY) { + if ((err = mp_gcd(a, b, &t1)) != MP_OKAY) { goto LBL_T; } /* divide the smallest by the GCD */ if (mp_cmp_mag(a, b) == MP_LT) { /* store quotient in t2 such that t2 * b is the LCM */ - if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { + if ((err = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { goto LBL_T; } - res = mp_mul(b, &t2, c); + err = mp_mul(b, &t2, c); } else { /* store quotient in t2 such that t2 * a is the LCM */ - if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { + if ((err = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { goto LBL_T; } - res = mp_mul(a, &t2, c); + err = mp_mul(a, &t2, c); } /* fix the sign to positive */ @@ -48,10 +39,6 @@ int mp_lcm(const mp_int *a, const mp_int *b, mp_int *c) LBL_T: mp_clear_multi(&t1, &t2, NULL); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_log_u32.c b/libtommath/bn_mp_log_u32.c new file mode 100644 index 0000000..f7bca01 --- /dev/null +++ b/libtommath/bn_mp_log_u32.c @@ -0,0 +1,180 @@ +#include "tommath_private.h" +#ifdef BN_MP_LOG_U32_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* Compute log_{base}(a) */ +static mp_word s_pow(mp_word base, mp_word exponent) +{ + mp_word result = 1uLL; + while (exponent != 0u) { + if ((exponent & 1u) == 1u) { + result *= base; + } + exponent >>= 1; + base *= base; + } + + return result; +} + +static mp_digit s_digit_ilogb(mp_digit base, mp_digit n) +{ + mp_word bracket_low = 1uLL, bracket_mid, bracket_high, N; + mp_digit ret, high = 1uL, low = 0uL, mid; + + if (n < base) { + return 0uL; + } + if (n == base) { + return 1uL; + } + + bracket_high = (mp_word) base ; + N = (mp_word) n; + + while (bracket_high < N) { + low = high; + bracket_low = bracket_high; + high <<= 1; + bracket_high *= bracket_high; + } + + while (((mp_digit)(high - low)) > 1uL) { + mid = (low + high) >> 1; + bracket_mid = bracket_low * s_pow(base, (mp_word)(mid - low)); + + if (N < bracket_mid) { + high = mid ; + bracket_high = bracket_mid ; + } + if (N > bracket_mid) { + low = mid ; + bracket_low = bracket_mid ; + } + if (N == bracket_mid) { + return (mp_digit) mid; + } + } + + if (bracket_high == N) { + ret = high; + } else { + ret = low; + } + + return ret; +} + +/* TODO: output could be "int" because the output of mp_radix_size is int, too, + as is the output of mp_bitcount. + With the same problem: max size is INT_MAX * MP_DIGIT not INT_MAX only! +*/ +mp_err mp_log_u32(const mp_int *a, uint32_t base, uint32_t *c) +{ + mp_err err; + mp_ord cmp; + uint32_t high, low, mid; + mp_int bracket_low, bracket_high, bracket_mid, t, bi_base; + + err = MP_OKAY; + + if (a->sign == MP_NEG) { + return MP_VAL; + } + + if (MP_IS_ZERO(a)) { + return MP_VAL; + } + + if (base < 2u) { + return MP_VAL; + } + + /* A small shortcut for bases that are powers of two. */ + if ((base & (base - 1u)) == 0u) { + int y, bit_count; + for (y=0; (y < 7) && ((base & 1u) == 0u); y++) { + base >>= 1; + } + bit_count = mp_count_bits(a) - 1; + *c = (uint32_t)(bit_count/y); + return MP_OKAY; + } + + if (a->used == 1) { + *c = (uint32_t)s_digit_ilogb(base, a->dp[0]); + return err; + } + + cmp = mp_cmp_d(a, base); + if ((cmp == MP_LT) || (cmp == MP_EQ)) { + *c = cmp == MP_EQ; + return err; + } + + if ((err = + mp_init_multi(&bracket_low, &bracket_high, + &bracket_mid, &t, &bi_base, NULL)) != MP_OKAY) { + return err; + } + + low = 0u; + mp_set(&bracket_low, 1uL); + high = 1u; + + mp_set(&bracket_high, base); + + /* + A kind of Giant-step/baby-step algorithm. + Idea shamelessly stolen from https://programmingpraxis.com/2010/05/07/integer-logarithms/2/ + The effect is asymptotic, hence needs benchmarks to test if the Giant-step should be skipped + for small n. + */ + while (mp_cmp(&bracket_high, a) == MP_LT) { + low = high; + if ((err = mp_copy(&bracket_high, &bracket_low)) != MP_OKAY) { + goto LBL_ERR; + } + high <<= 1; + if ((err = mp_sqr(&bracket_high, &bracket_high)) != MP_OKAY) { + goto LBL_ERR; + } + } + mp_set(&bi_base, base); + + while ((high - low) > 1u) { + mid = (high + low) >> 1; + + if ((err = mp_expt_u32(&bi_base, (uint32_t)(mid - low), &t)) != MP_OKAY) { + goto LBL_ERR; + } + if ((err = mp_mul(&bracket_low, &t, &bracket_mid)) != MP_OKAY) { + goto LBL_ERR; + } + cmp = mp_cmp(a, &bracket_mid); + if (cmp == MP_LT) { + high = mid; + mp_exch(&bracket_mid, &bracket_high); + } + if (cmp == MP_GT) { + low = mid; + mp_exch(&bracket_mid, &bracket_low); + } + if (cmp == MP_EQ) { + *c = mid; + goto LBL_END; + } + } + + *c = (mp_cmp(&bracket_high, a) == MP_EQ) ? high : low; + +LBL_END: +LBL_ERR: + mp_clear_multi(&bracket_low, &bracket_high, &bracket_mid, + &t, &bi_base, NULL); + return err; +} + + +#endif diff --git a/libtommath/bn_mp_lshd.c b/libtommath/bn_mp_lshd.c index 401d6e2..8234580 100644 --- a/libtommath/bn_mp_lshd.c +++ b/libtommath/bn_mp_lshd.c @@ -1,68 +1,51 @@ #include "tommath_private.h" #ifdef BN_MP_LSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* shift left a certain amount of digits */ -int mp_lshd(mp_int *a, int b) +mp_err mp_lshd(mp_int *a, int b) { - int x, res; + int x; + mp_err err; + mp_digit *top, *bottom; /* if its less than zero return */ if (b <= 0) { return MP_OKAY; } /* no need to shift 0 around */ - if (mp_iszero(a) == MP_YES) { + if (MP_IS_ZERO(a)) { return MP_OKAY; } /* grow to fit the new digits */ if (a->alloc < (a->used + b)) { - if ((res = mp_grow(a, a->used + b)) != MP_OKAY) { - return res; + if ((err = mp_grow(a, a->used + b)) != MP_OKAY) { + return err; } } - { - mp_digit *top, *bottom; + /* increment the used by the shift amount then copy upwards */ + a->used += b; - /* increment the used by the shift amount then copy upwards */ - a->used += b; + /* top */ + top = a->dp + a->used - 1; - /* top */ - top = a->dp + a->used - 1; + /* base */ + bottom = (a->dp + a->used - 1) - b; - /* base */ - bottom = (a->dp + a->used - 1) - b; + /* much like mp_rshd this is implemented using a sliding window + * except the window goes the otherway around. Copying from + * the bottom to the top. see bn_mp_rshd.c for more info. + */ + for (x = a->used - 1; x >= b; x--) { + *top-- = *bottom--; + } - /* much like mp_rshd this is implemented using a sliding window - * except the window goes the otherway around. Copying from - * the bottom to the top. see bn_mp_rshd.c for more info. - */ - for (x = a->used - 1; x >= b; x--) { - *top-- = *bottom--; - } + /* zero the lower digits */ + MP_ZERO_DIGITS(a->dp, b); - /* zero the lower digits */ - top = a->dp; - for (x = 0; x < b; x++) { - *top++ = 0; - } - } return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_mod.c b/libtommath/bn_mp_mod.c index 793a06c..8fbfe08 100644 --- a/libtommath/bn_mp_mod.c +++ b/libtommath/bn_mp_mod.c @@ -1,44 +1,31 @@ #include "tommath_private.h" #ifdef BN_MP_MOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */ -int mp_mod(const mp_int *a, const mp_int *b, mp_int *c) +mp_err mp_mod(const mp_int *a, const mp_int *b, mp_int *c) { mp_int t; - int res; + mp_err err; - if ((res = mp_init_size(&t, b->used)) != MP_OKAY) { - return res; + if ((err = mp_init_size(&t, b->used)) != MP_OKAY) { + return err; } - if ((res = mp_div(a, b, NULL, &t)) != MP_OKAY) { - mp_clear(&t); - return res; + if ((err = mp_div(a, b, NULL, &t)) != MP_OKAY) { + goto LBL_ERR; } - if ((mp_iszero(&t) != MP_NO) || (t.sign == b->sign)) { - res = MP_OKAY; + if (MP_IS_ZERO(&t) || (t.sign == b->sign)) { + err = MP_OKAY; mp_exch(&t, c); } else { - res = mp_add(b, &t, c); + err = mp_add(b, &t, c); } +LBL_ERR: mp_clear(&t); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_mod_2d.c b/libtommath/bn_mp_mod_2d.c index 10d219d..5bf57a1 100644 --- a/libtommath/bn_mp_mod_2d.c +++ b/libtommath/bn_mp_mod_2d.c @@ -1,21 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_MOD_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* calc a value mod 2**b */ -int mp_mod_2d(const mp_int *a, int b, mp_int *c) +mp_err mp_mod_2d(const mp_int *a, int b, mp_int *c) { - int x, res; + int x; + mp_err err; /* if b is <= 0 then zero the int */ if (b <= 0) { @@ -24,28 +16,23 @@ int mp_mod_2d(const mp_int *a, int b, mp_int *c) } /* if the modulus is larger than the value than return */ - if (b >= (a->used * DIGIT_BIT)) { - res = mp_copy(a, c); - return res; + if (b >= (a->used * MP_DIGIT_BIT)) { + return mp_copy(a, c); } /* copy */ - if ((res = mp_copy(a, c)) != MP_OKAY) { - return res; + if ((err = mp_copy(a, c)) != MP_OKAY) { + return err; } /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + (((b % DIGIT_BIT) == 0) ? 0 : 1); x < c->used; x++) { - c->dp[x] = 0; - } + x = (b / MP_DIGIT_BIT) + (((b % MP_DIGIT_BIT) == 0) ? 0 : 1); + MP_ZERO_DIGITS(c->dp + x, c->used - x); + /* clear the digit that is not completely outside/inside the modulus */ - c->dp[b / DIGIT_BIT] &= - ((mp_digit)1 << (mp_digit)(b % DIGIT_BIT)) - (mp_digit)1; + c->dp[b / MP_DIGIT_BIT] &= + ((mp_digit)1 << (mp_digit)(b % MP_DIGIT_BIT)) - (mp_digit)1; mp_clamp(c); return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_mod_d.c b/libtommath/bn_mp_mod_d.c index 7c435e3..0b6c12a 100644 --- a/libtommath/bn_mp_mod_d.c +++ b/libtommath/bn_mp_mod_d.c @@ -1,23 +1,10 @@ #include "tommath_private.h" #ifdef BN_MP_MOD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ -int mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c) +mp_err mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c) { return mp_div_d(a, b, NULL, c); } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_montgomery_calc_normalization.c b/libtommath/bn_mp_montgomery_calc_normalization.c index f0cf090..8379789 100644 --- a/libtommath/bn_mp_montgomery_calc_normalization.c +++ b/libtommath/bn_mp_montgomery_calc_normalization.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* * shifts with subtractions when the result is greater than b. @@ -18,16 +9,17 @@ * The method is slightly modified to shift B unconditionally upto just under * the leading bit of b. This saves alot of multiple precision shifting. */ -int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b) +mp_err mp_montgomery_calc_normalization(mp_int *a, const mp_int *b) { - int x, bits, res; + int x, bits; + mp_err err; /* how many bits of last digit does b use */ - bits = mp_count_bits(b) % DIGIT_BIT; + bits = mp_count_bits(b) % MP_DIGIT_BIT; if (b->used > 1) { - if ((res = mp_2expt(a, ((b->used - 1) * DIGIT_BIT) + bits - 1)) != MP_OKAY) { - return res; + if ((err = mp_2expt(a, ((b->used - 1) * MP_DIGIT_BIT) + bits - 1)) != MP_OKAY) { + return err; } } else { mp_set(a, 1uL); @@ -36,13 +28,13 @@ int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b) /* now compute C = A * B mod b */ - for (x = bits - 1; x < (int)DIGIT_BIT; x++) { - if ((res = mp_mul_2(a, a)) != MP_OKAY) { - return res; + for (x = bits - 1; x < (int)MP_DIGIT_BIT; x++) { + if ((err = mp_mul_2(a, a)) != MP_OKAY) { + return err; } if (mp_cmp_mag(a, b) != MP_LT) { - if ((res = s_mp_sub(a, b, a)) != MP_OKAY) { - return res; + if ((err = s_mp_sub(a, b, a)) != MP_OKAY) { + return err; } } } @@ -50,7 +42,3 @@ int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_montgomery_reduce.c b/libtommath/bn_mp_montgomery_reduce.c index e3b02cd..ffe8341 100644 --- a/libtommath/bn_mp_montgomery_reduce.c +++ b/libtommath/bn_mp_montgomery_reduce.c @@ -1,21 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ -int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) +mp_err mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) { - int ix, res, digs; + int ix, digs; + mp_err err; mp_digit mu; /* can the fast reduction [comba] method be used? @@ -25,17 +17,16 @@ int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) * are fixed up in the inner loop. */ digs = (n->used * 2) + 1; - if ((digs < (int)MP_WARRAY) && - (x->used <= (int)MP_WARRAY) && - (n->used < - (int)(1u << (((size_t)CHAR_BIT * sizeof(mp_word)) - (2u * (size_t)DIGIT_BIT))))) { - return fast_mp_montgomery_reduce(x, n, rho); + if ((digs < MP_WARRAY) && + (x->used <= MP_WARRAY) && + (n->used < MP_MAXFAST)) { + return s_mp_montgomery_reduce_fast(x, n, rho); } /* grow the input as required */ if (x->alloc < digs) { - if ((res = mp_grow(x, digs)) != MP_OKAY) { - return res; + if ((err = mp_grow(x, digs)) != MP_OKAY) { + return err; } } x->used = digs; @@ -73,7 +64,7 @@ int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) (mp_word)u + (mp_word)*tmpx; /* get carry */ - u = (mp_digit)(r >> (mp_word)DIGIT_BIT); + u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT); /* fix digit */ *tmpx++ = (mp_digit)(r & (mp_word)MP_MASK); @@ -84,7 +75,7 @@ int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) /* propagate carries upwards as required*/ while (u != 0u) { *tmpx += u; - u = *tmpx >> DIGIT_BIT; + u = *tmpx >> MP_DIGIT_BIT; *tmpx++ &= MP_MASK; } } @@ -109,7 +100,3 @@ int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index c9c3cf1..39f6e9d 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -1,19 +1,10 @@ #include "tommath_private.h" #ifdef BN_MP_MONTGOMERY_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* setups the montgomery reduction stuff */ -int mp_montgomery_setup(const mp_int *n, mp_digit *rho) +mp_err mp_montgomery_setup(const mp_int *n, mp_digit *rho) { mp_digit x, b; @@ -44,12 +35,8 @@ int mp_montgomery_setup(const mp_int *n, mp_digit *rho) #endif /* rho = -1/m mod b */ - *rho = (mp_digit)(((mp_word)1 << (mp_word)DIGIT_BIT) - x) & MP_MASK; + *rho = (mp_digit)(((mp_word)1 << (mp_word)MP_DIGIT_BIT) - x) & MP_MASK; return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_mul.c b/libtommath/bn_mp_mul.c index bb0a030..561913a 100644 --- a/libtommath/bn_mp_mul.c +++ b/libtommath/bn_mp_mul.c @@ -1,64 +1,52 @@ #include "tommath_private.h" #ifdef BN_MP_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* high level multiplication (handles sign) */ -int mp_mul(const mp_int *a, const mp_int *b, mp_int *c) +mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c) { - int res, neg; - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; + mp_err err; + int min_len = MP_MIN(a->used, b->used), + max_len = MP_MAX(a->used, b->used), + digs = a->used + b->used + 1; + mp_sign neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - /* use Toom-Cook? */ -#ifdef BN_MP_TOOM_MUL_C - if (MIN(a->used, b->used) >= TOOM_MUL_CUTOFF) { - res = mp_toom_mul(a, b, c); - } else -#endif -#ifdef BN_MP_KARATSUBA_MUL_C - /* use Karatsuba? */ - if (MIN(a->used, b->used) >= KARATSUBA_MUL_CUTOFF) { - res = mp_karatsuba_mul(a, b, c); - } else -#endif - { - /* can we use the fast multiplier? - * - * The fast multiplier can be used if the output will - * have less than MP_WARRAY digits and the number of - * digits won't affect carry propagation - */ - int digs = a->used + b->used + 1; - -#ifdef BN_FAST_S_MP_MUL_DIGS_C - if ((digs < (int)MP_WARRAY) && - (MIN(a->used, b->used) <= - (int)(1u << (((size_t)CHAR_BIT * sizeof(mp_word)) - (2u * (size_t)DIGIT_BIT))))) { - res = fast_s_mp_mul_digs(a, b, c, digs); - } else -#endif - { -#ifdef BN_S_MP_MUL_DIGS_C - res = s_mp_mul(a, b, c); /* uses s_mp_mul_digs */ -#else - res = MP_VAL; -#endif - } - } + if (MP_HAS(S_MP_BALANCE_MUL) && + /* Check sizes. The smaller one needs to be larger than the Karatsuba cut-off. + * The bigger one needs to be at least about one MP_KARATSUBA_MUL_CUTOFF bigger + * to make some sense, but it depends on architecture, OS, position of the + * stars... so YMMV. + * Using it to cut the input into slices small enough for fast_s_mp_mul_digs + * was actually slower on the author's machine, but YMMV. + */ + (min_len >= MP_KARATSUBA_MUL_CUTOFF) && + ((max_len / 2) >= MP_KARATSUBA_MUL_CUTOFF) && + /* Not much effect was observed below a ratio of 1:2, but again: YMMV. */ + (max_len >= (2 * min_len))) { + err = s_mp_balance_mul(a,b,c); + } else if (MP_HAS(S_MP_TOOM_MUL) && + (min_len >= MP_TOOM_MUL_CUTOFF)) { + err = s_mp_toom_mul(a, b, c); + } else if (MP_HAS(S_MP_KARATSUBA_MUL) && + (min_len >= MP_KARATSUBA_MUL_CUTOFF)) { + err = s_mp_karatsuba_mul(a, b, c); + } else if (MP_HAS(S_MP_MUL_DIGS_FAST) && + /* can we use the fast multiplier? + * + * The fast multiplier can be used if the output will + * have less than MP_WARRAY digits and the number of + * digits won't affect carry propagation + */ + (digs < MP_WARRAY) && + (min_len <= MP_MAXFAST)) { + err = s_mp_mul_digs_fast(a, b, c, digs); + } else if (MP_HAS(S_MP_MUL_DIGS)) { + err = s_mp_mul_digs(a, b, c, digs); + } else { + err = MP_VAL; + } c->sign = (c->used > 0) ? neg : MP_ZPOS; - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_mul_2.c b/libtommath/bn_mp_mul_2.c index 927ae99..bc0691a 100644 --- a/libtommath/bn_mp_mul_2.c +++ b/libtommath/bn_mp_mul_2.c @@ -1,26 +1,18 @@ #include "tommath_private.h" #ifdef BN_MP_MUL_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* b = a*2 */ -int mp_mul_2(const mp_int *a, mp_int *b) +mp_err mp_mul_2(const mp_int *a, mp_int *b) { - int x, res, oldused; + int x, oldused; + mp_err err; /* grow to accomodate result */ if (b->alloc < (a->used + 1)) { - if ((res = mp_grow(b, a->used + 1)) != MP_OKAY) { - return res; + if ((err = mp_grow(b, a->used + 1)) != MP_OKAY) { + return err; } } @@ -43,7 +35,7 @@ int mp_mul_2(const mp_int *a, mp_int *b) /* get what will be the *next* carry bit from the * MSB of the current digit */ - rr = *tmpa >> (mp_digit)(DIGIT_BIT - 1); + rr = *tmpa >> (mp_digit)(MP_DIGIT_BIT - 1); /* now shift up this digit, add in the carry [from the previous] */ *tmpb++ = ((*tmpa++ << 1uL) | r) & MP_MASK; @@ -64,16 +56,9 @@ int mp_mul_2(const mp_int *a, mp_int *b) /* now zero any excess digits on the destination * that we didn't write to */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } + MP_ZERO_DIGITS(b->dp + b->used, oldused - b->used); } b->sign = a->sign; return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_mul_2d.c b/libtommath/bn_mp_mul_2d.c index f37a321..87354de 100644 --- a/libtommath/bn_mp_mul_2d.c +++ b/libtommath/bn_mp_mul_2d.c @@ -1,45 +1,36 @@ #include "tommath_private.h" #ifdef BN_MP_MUL_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* shift left by a certain bit count */ -int mp_mul_2d(const mp_int *a, int b, mp_int *c) +mp_err mp_mul_2d(const mp_int *a, int b, mp_int *c) { mp_digit d; - int res; + mp_err err; /* copy */ if (a != c) { - if ((res = mp_copy(a, c)) != MP_OKAY) { - return res; + if ((err = mp_copy(a, c)) != MP_OKAY) { + return err; } } - if (c->alloc < (c->used + (b / DIGIT_BIT) + 1)) { - if ((res = mp_grow(c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) { - return res; + if (c->alloc < (c->used + (b / MP_DIGIT_BIT) + 1)) { + if ((err = mp_grow(c, c->used + (b / MP_DIGIT_BIT) + 1)) != MP_OKAY) { + return err; } } /* shift by as many digits in the bit count */ - if (b >= DIGIT_BIT) { - if ((res = mp_lshd(c, b / DIGIT_BIT)) != MP_OKAY) { - return res; + if (b >= MP_DIGIT_BIT) { + if ((err = mp_lshd(c, b / MP_DIGIT_BIT)) != MP_OKAY) { + return err; } } - /* shift any bit count < DIGIT_BIT */ - d = (mp_digit)(b % DIGIT_BIT); + /* shift any bit count < MP_DIGIT_BIT */ + d = (mp_digit)(b % MP_DIGIT_BIT); if (d != 0u) { mp_digit *tmpc, shift, mask, r, rr; int x; @@ -48,7 +39,7 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c) mask = ((mp_digit)1 << d) - (mp_digit)1; /* shift for msbs */ - shift = (mp_digit)DIGIT_BIT - d; + shift = (mp_digit)MP_DIGIT_BIT - d; /* alias */ tmpc = c->dp; @@ -76,7 +67,3 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_mul_d.c b/libtommath/bn_mp_mul_d.c index 870c0cd..b56dfa3 100644 --- a/libtommath/bn_mp_mul_d.c +++ b/libtommath/bn_mp_mul_d.c @@ -1,28 +1,20 @@ #include "tommath_private.h" #ifdef BN_MP_MUL_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* multiply by a digit */ -int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) +mp_err mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) { mp_digit u, *tmpa, *tmpc; mp_word r; - int ix, res, olduse; + mp_err err; + int ix, olduse; /* make sure c is big enough to hold a*b */ if (c->alloc < (a->used + 1)) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; + if ((err = mp_grow(c, a->used + 1)) != MP_OKAY) { + return err; } } @@ -50,7 +42,7 @@ int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) *tmpc++ = (mp_digit)(r & (mp_word)MP_MASK); /* send carry into next iteration */ - u = (mp_digit)(r >> (mp_word)DIGIT_BIT); + u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT); } /* store final carry [if any] and increment ix offset */ @@ -58,9 +50,7 @@ int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) ++ix; /* now zero digits above the top */ - while (ix++ < olduse) { - *tmpc++ = 0; - } + MP_ZERO_DIGITS(tmpc, olduse - ix); /* set used count */ c->used = a->used + 1; @@ -69,7 +59,3 @@ int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_mulmod.c b/libtommath/bn_mp_mulmod.c index 920618a..160d162 100644 --- a/libtommath/bn_mp_mulmod.c +++ b/libtommath/bn_mp_mulmod.c @@ -1,37 +1,25 @@ #include "tommath_private.h" #ifdef BN_MP_MULMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* d = a * b (mod c) */ -int mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) +mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) { - int res; - mp_int t; + mp_err err; + mp_int t; - if ((res = mp_init_size(&t, c->used)) != MP_OKAY) { - return res; + if ((err = mp_init_size(&t, c->used)) != MP_OKAY) { + return err; } - if ((res = mp_mul(a, b, &t)) != MP_OKAY) { - mp_clear(&t); - return res; + if ((err = mp_mul(a, b, &t)) != MP_OKAY) { + goto LBL_ERR; } - res = mp_mod(&t, c, d); + err = mp_mod(&t, c, d); + +LBL_ERR: mp_clear(&t); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_n_root.c b/libtommath/bn_mp_n_root.c deleted file mode 100644 index 3457727..0000000 --- a/libtommath/bn_mp_n_root.c +++ /dev/null @@ -1,27 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_N_ROOT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* wrapper function for mp_n_root_ex() - * computes c = (a)**(1/b) such that (c)**b <= a and (c+1)**b > a - */ -int mp_n_root(const mp_int *a, mp_digit b, mp_int *c) -{ - return mp_n_root_ex(a, b, c, 0); -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_n_root_ex.c b/libtommath/bn_mp_n_root_ex.c deleted file mode 100644 index 720cb2f..0000000 --- a/libtommath/bn_mp_n_root_ex.c +++ /dev/null @@ -1,129 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_N_ROOT_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. - */ -int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) -{ - mp_int t1, t2, t3, a_; - int res; - - /* input must be positive if b is even */ - if (((b & 1u) == 0u) && (a->sign == MP_NEG)) { - return MP_VAL; - } - - if ((res = mp_init(&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init(&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init(&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - a_ = *a; - a_.sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set(&t2, 2uL); - - do { - /* t1 = t2 */ - if ((res = mp_copy(&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d_ex(&t1, b - 1u, &t3, fast)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul(&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub(&t2, &a_, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d(&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div(&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub(&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp(&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d_ex(&t1, b, &t2, fast)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp(&t2, &a_) == MP_GT) { - if ((res = mp_sub_d(&t1, 1uL, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* set the result */ - mp_exch(&t1, c); - - /* set the sign of the result */ - c->sign = a->sign; - - res = MP_OKAY; - -LBL_T3: - mp_clear(&t3); -LBL_T2: - mp_clear(&t2); -LBL_T1: - mp_clear(&t1); - return res; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_neg.c b/libtommath/bn_mp_neg.c index ff9ef30..264d900 100644 --- a/libtommath/bn_mp_neg.c +++ b/libtommath/bn_mp_neg.c @@ -1,28 +1,19 @@ #include "tommath_private.h" #ifdef BN_MP_NEG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* b = -a */ -int mp_neg(const mp_int *a, mp_int *b) +mp_err mp_neg(const mp_int *a, mp_int *b) { - int res; + mp_err err; if (a != b) { - if ((res = mp_copy(a, b)) != MP_OKAY) { - return res; + if ((err = mp_copy(a, b)) != MP_OKAY) { + return err; } } - if (mp_iszero(b) != MP_YES) { + if (!MP_IS_ZERO(b)) { b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; } else { b->sign = MP_ZPOS; @@ -31,7 +22,3 @@ int mp_neg(const mp_int *a, mp_int *b) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_or.c b/libtommath/bn_mp_or.c index 0e092be..cdacbfb 100644 --- a/libtommath/bn_mp_or.c +++ b/libtommath/bn_mp_or.c @@ -1,48 +1,56 @@ #include "tommath_private.h" #ifdef BN_MP_OR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* OR two ints together */ -int mp_or(const mp_int *a, const mp_int *b, mp_int *c) +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* two complement or */ +mp_err mp_or(const mp_int *a, const mp_int *b, mp_int *c) { - int res, ix, px; - mp_int t; - const mp_int *x; + int used = MP_MAX(a->used, b->used) + 1, i; + mp_err err; + mp_digit ac = 1, bc = 1, cc = 1; + mp_sign csign = ((a->sign == MP_NEG) || (b->sign == MP_NEG)) ? MP_NEG : MP_ZPOS; - if (a->used > b->used) { - if ((res = mp_init_copy(&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy(&t, b)) != MP_OKAY) { - return res; + if (c->alloc < used) { + if ((err = mp_grow(c, used)) != MP_OKAY) { + return err; } - px = a->used; - x = a; } - for (ix = 0; ix < px; ix++) { - t.dp[ix] |= x->dp[ix]; + for (i = 0; i < used; i++) { + mp_digit x, y; + + /* convert to two complement if negative */ + if (a->sign == MP_NEG) { + ac += (i >= a->used) ? MP_MASK : (~a->dp[i] & MP_MASK); + x = ac & MP_MASK; + ac >>= MP_DIGIT_BIT; + } else { + x = (i >= a->used) ? 0uL : a->dp[i]; + } + + /* convert to two complement if negative */ + if (b->sign == MP_NEG) { + bc += (i >= b->used) ? MP_MASK : (~b->dp[i] & MP_MASK); + y = bc & MP_MASK; + bc >>= MP_DIGIT_BIT; + } else { + y = (i >= b->used) ? 0uL : b->dp[i]; + } + + c->dp[i] = x | y; + + /* convert to to sign-magnitude if negative */ + if (csign == MP_NEG) { + cc += ~c->dp[i] & MP_MASK; + c->dp[i] = cc & MP_MASK; + cc >>= MP_DIGIT_BIT; + } } - mp_clamp(&t); - mp_exch(c, &t); - mp_clear(&t); + + c->used = used; + c->sign = csign; + mp_clamp(c); return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_pack.c b/libtommath/bn_mp_pack.c new file mode 100644 index 0000000..6e00b6f --- /dev/null +++ b/libtommath/bn_mp_pack.c @@ -0,0 +1,69 @@ +#include "tommath_private.h" +#ifdef BN_MP_PACK_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* based on gmp's mpz_export. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +mp_err mp_pack(void *rop, size_t maxcount, size_t *written, mp_order order, size_t size, + mp_endian endian, size_t nails, const mp_int *op) +{ + mp_err err; + size_t odd_nails, nail_bytes, i, j, count; + unsigned char odd_nail_mask; + + mp_int t; + + count = mp_pack_count(op, nails, size); + + if (count > maxcount) { + return MP_BUF; + } + + if ((err = mp_init_copy(&t, op)) != MP_OKAY) { + return err; + } + + if (endian == MP_NATIVE_ENDIAN) { + MP_GET_ENDIANNESS(endian); + } + + odd_nails = (nails % 8u); + odd_nail_mask = 0xff; + for (i = 0u; i < odd_nails; ++i) { + odd_nail_mask ^= (unsigned char)(1u << (7u - i)); + } + nail_bytes = nails / 8u; + + for (i = 0u; i < count; ++i) { + for (j = 0u; j < size; ++j) { + unsigned char *byte = (unsigned char *)rop + + (((order == MP_LSB_FIRST) ? i : ((count - 1u) - i)) * size) + + ((endian == MP_LITTLE_ENDIAN) ? j : ((size - 1u) - j)); + + if (j >= (size - nail_bytes)) { + *byte = 0; + continue; + } + + *byte = (unsigned char)((j == ((size - nail_bytes) - 1u)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFFuL)); + + if ((err = mp_div_2d(&t, (j == ((size - nail_bytes) - 1u)) ? (int)(8u - odd_nails) : 8, &t, NULL)) != MP_OKAY) { + goto LBL_ERR; + } + + } + } + + if (written != NULL) { + *written = count; + } + err = MP_OKAY; + +LBL_ERR: + mp_clear(&t); + return err; +} + +#endif diff --git a/libtommath/bn_mp_pack_count.c b/libtommath/bn_mp_pack_count.c new file mode 100644 index 0000000..dfecdf9 --- /dev/null +++ b/libtommath/bn_mp_pack_count.c @@ -0,0 +1,12 @@ +#include "tommath_private.h" +#ifdef BN_MP_PACK_COUNT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +size_t mp_pack_count(const mp_int *a, size_t nails, size_t size) +{ + size_t bits = (size_t)mp_count_bits(a); + return ((bits / ((size * 8u) - nails)) + (((bits % ((size * 8u) - nails)) != 0u) ? 1u : 0u)); +} + +#endif diff --git a/libtommath/bn_mp_prime_fermat.c b/libtommath/bn_mp_prime_fermat.c index 9046828..af3e884 100644 --- a/libtommath/bn_mp_prime_fermat.c +++ b/libtommath/bn_mp_prime_fermat.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_PRIME_FERMAT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* performs one Fermat test. * @@ -20,10 +11,10 @@ * * Sets result to 1 if the congruence holds, or zero otherwise. */ -int mp_prime_fermat(const mp_int *a, const mp_int *b, int *result) +mp_err mp_prime_fermat(const mp_int *a, const mp_int *b, mp_bool *result) { mp_int t; - int err; + mp_err err; /* default to composite */ *result = MP_NO; @@ -54,7 +45,3 @@ LBL_T: return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_prime_frobenius_underwood.c b/libtommath/bn_mp_prime_frobenius_underwood.c index 718ddf7..253e8d5 100644 --- a/libtommath/bn_mp_prime_frobenius_underwood.c +++ b/libtommath/bn_mp_prime_frobenius_underwood.c @@ -1,22 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_PRIME_FROBENIUS_UNDERWOOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* * See file bn_mp_prime_is_prime.c or the documentation in doc/bn.tex for the details */ -#ifndef LTM_USE_FIPS_ONLY +#ifndef LTM_USE_ONLY_MR #ifdef MP_8BIT /* @@ -32,17 +23,17 @@ #else #define LTM_FROBENIUS_UNDERWOOD_A 32764 #endif -int mp_prime_frobenius_underwood(const mp_int *N, int *result) +mp_err mp_prime_frobenius_underwood(const mp_int *N, mp_bool *result) { mp_int T1z, T2z, Np1z, sz, tz; - int a, ap2, length, i, j, isset; - int e; + int a, ap2, length, i, j; + mp_err err; *result = MP_NO; - if ((e = mp_init_multi(&T1z, &T2z, &Np1z, &sz, &tz, NULL)) != MP_OKAY) { - return e; + if ((err = mp_init_multi(&T1z, &T2z, &Np1z, &sz, &tz, NULL)) != MP_OKAY) { + return err; } for (a = 0; a < LTM_FROBENIUS_UNDERWOOD_A; a++) { @@ -52,21 +43,13 @@ int mp_prime_frobenius_underwood(const mp_int *N, int *result) continue; } /* (32764^2 - 4) < 2^31, no bigint for >MP_8BIT needed) */ - if ((e = mp_set_long(&T1z, (unsigned long)a)) != MP_OKAY) { - goto LBL_FU_ERR; - } + mp_set_u32(&T1z, (uint32_t)a); - if ((e = mp_sqr(&T1z, &T1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } + if ((err = mp_sqr(&T1z, &T1z)) != MP_OKAY) goto LBL_FU_ERR; - if ((e = mp_sub_d(&T1z, 4uL, &T1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } + if ((err = mp_sub_d(&T1z, 4uL, &T1z)) != MP_OKAY) goto LBL_FU_ERR; - if ((e = mp_kronecker(&T1z, N, &j)) != MP_OKAY) { - goto LBL_FU_ERR; - } + if ((err = mp_kronecker(&T1z, N, &j)) != MP_OKAY) goto LBL_FU_ERR; if (j == -1) { break; @@ -79,26 +62,18 @@ int mp_prime_frobenius_underwood(const mp_int *N, int *result) } /* Tell it a composite and set return value accordingly */ if (a >= LTM_FROBENIUS_UNDERWOOD_A) { - e = MP_ITER; + err = MP_ITER; goto LBL_FU_ERR; } /* Composite if N and (a+4)*(2*a+5) are not coprime */ - if ((e = mp_set_long(&T1z, (unsigned long)((a+4)*((2*a)+5)))) != MP_OKAY) { - goto LBL_FU_ERR; - } + mp_set_u32(&T1z, (uint32_t)((a+4)*((2*a)+5))); - if ((e = mp_gcd(N, &T1z, &T1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } + if ((err = mp_gcd(N, &T1z, &T1z)) != MP_OKAY) goto LBL_FU_ERR; - if (!((T1z.used == 1) && (T1z.dp[0] == 1u))) { - goto LBL_FU_ERR; - } + if (!((T1z.used == 1) && (T1z.dp[0] == 1u))) goto LBL_FU_ERR; ap2 = a + 2; - if ((e = mp_add_d(N, 1uL, &Np1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } + if ((err = mp_add_d(N, 1uL, &Np1z)) != MP_OKAY) goto LBL_FU_ERR; mp_set(&sz, 1uL); mp_set(&tz, 2uL); @@ -110,89 +85,48 @@ int mp_prime_frobenius_underwood(const mp_int *N, int *result) * tz = ((tz-sz)*(tz+sz))%N; * sz = temp; */ - if ((e = mp_mul_2(&tz, &T2z)) != MP_OKAY) { - goto LBL_FU_ERR; - } + if ((err = mp_mul_2(&tz, &T2z)) != MP_OKAY) goto LBL_FU_ERR; /* a = 0 at about 50% of the cases (non-square and odd input) */ if (a != 0) { - if ((e = mp_mul_d(&sz, (mp_digit)a, &T1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((e = mp_add(&T1z, &T2z, &T2z)) != MP_OKAY) { - goto LBL_FU_ERR; - } + if ((err = mp_mul_d(&sz, (mp_digit)a, &T1z)) != MP_OKAY) goto LBL_FU_ERR; + if ((err = mp_add(&T1z, &T2z, &T2z)) != MP_OKAY) goto LBL_FU_ERR; } - if ((e = mp_mul(&T2z, &sz, &T1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((e = mp_sub(&tz, &sz, &T2z)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((e = mp_add(&sz, &tz, &sz)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((e = mp_mul(&sz, &T2z, &tz)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((e = mp_mod(&tz, N, &tz)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((e = mp_mod(&T1z, N, &sz)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((isset = mp_get_bit(&Np1z, i)) == MP_VAL) { - e = isset; - goto LBL_FU_ERR; - } - if (isset == MP_YES) { + if ((err = mp_mul(&T2z, &sz, &T1z)) != MP_OKAY) goto LBL_FU_ERR; + if ((err = mp_sub(&tz, &sz, &T2z)) != MP_OKAY) goto LBL_FU_ERR; + if ((err = mp_add(&sz, &tz, &sz)) != MP_OKAY) goto LBL_FU_ERR; + if ((err = mp_mul(&sz, &T2z, &tz)) != MP_OKAY) goto LBL_FU_ERR; + if ((err = mp_mod(&tz, N, &tz)) != MP_OKAY) goto LBL_FU_ERR; + if ((err = mp_mod(&T1z, N, &sz)) != MP_OKAY) goto LBL_FU_ERR; + if (s_mp_get_bit(&Np1z, (unsigned int)i) == MP_YES) { /* * temp = (a+2) * sz + tz * tz = 2 * tz - sz * sz = temp */ if (a == 0) { - if ((e = mp_mul_2(&sz, &T1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } + if ((err = mp_mul_2(&sz, &T1z)) != MP_OKAY) goto LBL_FU_ERR; } else { - if ((e = mp_mul_d(&sz, (mp_digit)ap2, &T1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } - } - if ((e = mp_add(&T1z, &tz, &T1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((e = mp_mul_2(&tz, &T2z)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((e = mp_sub(&T2z, &sz, &tz)) != MP_OKAY) { - goto LBL_FU_ERR; + if ((err = mp_mul_d(&sz, (mp_digit)ap2, &T1z)) != MP_OKAY) goto LBL_FU_ERR; } + if ((err = mp_add(&T1z, &tz, &T1z)) != MP_OKAY) goto LBL_FU_ERR; + if ((err = mp_mul_2(&tz, &T2z)) != MP_OKAY) goto LBL_FU_ERR; + if ((err = mp_sub(&T2z, &sz, &tz)) != MP_OKAY) goto LBL_FU_ERR; mp_exch(&sz, &T1z); } } - if ((e = mp_set_long(&T1z, (unsigned long)((2 * a) + 5))) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((e = mp_mod(&T1z, N, &T1z)) != MP_OKAY) { - goto LBL_FU_ERR; - } - if ((mp_iszero(&sz) != MP_NO) && (mp_cmp(&tz, &T1z) == MP_EQ)) { + mp_set_u32(&T1z, (uint32_t)((2 * a) + 5)); + if ((err = mp_mod(&T1z, N, &T1z)) != MP_OKAY) goto LBL_FU_ERR; + if (MP_IS_ZERO(&sz) && (mp_cmp(&tz, &T1z) == MP_EQ)) { *result = MP_YES; - goto LBL_FU_ERR; } LBL_FU_ERR: mp_clear_multi(&tz, &sz, &Np1z, &T2z, &T1z, NULL); - return e; + return err; } #endif #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_prime_is_divisible.c b/libtommath/bn_mp_prime_is_divisible.c deleted file mode 100644 index 5b5d94c..0000000 --- a/libtommath/bn_mp_prime_is_divisible.c +++ /dev/null @@ -1,47 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_PRIME_IS_DIVISIBLE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* determines if an integers is divisible by one - * of the first PRIME_SIZE primes or not - * - * sets result to 0 if not, 1 if yes - */ -int mp_prime_is_divisible(const mp_int *a, int *result) -{ - int err, ix; - mp_digit res; - - /* default to not */ - *result = MP_NO; - - for (ix = 0; ix < PRIME_SIZE; ix++) { - /* what is a mod LBL_prime_tab[ix] */ - if ((err = mp_mod_d(a, ltm_prime_tab[ix], &res)) != MP_OKAY) { - return err; - } - - /* is the residue zero? */ - if (res == 0u) { - *result = MP_YES; - return MP_OKAY; - } - } - - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_prime_is_prime.c b/libtommath/bn_mp_prime_is_prime.c index 6af5c2c..7f9fc0b 100644 --- a/libtommath/bn_mp_prime_is_prime.c +++ b/libtommath/bn_mp_prime_is_prime.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_PRIME_IS_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* portable integer log of two with small footprint */ static unsigned int s_floor_ilog2(int value) @@ -23,61 +14,58 @@ static unsigned int s_floor_ilog2(int value) } -int mp_prime_is_prime(const mp_int *a, int t, int *result) +mp_err mp_prime_is_prime(const mp_int *a, int t, mp_bool *result) { mp_int b; - int ix, err, res, p_max = 0, size_a, len; + int ix, p_max = 0, size_a, len; + mp_bool res; + mp_err err; unsigned int fips_rand, mask; /* default to no */ *result = MP_NO; - /* valid value of t? */ - if (t > PRIME_SIZE) { - return MP_VAL; - } - /* Some shortcuts */ /* N > 3 */ if (a->used == 1) { if ((a->dp[0] == 0u) || (a->dp[0] == 1u)) { - *result = 0; + *result = MP_NO; return MP_OKAY; } if (a->dp[0] == 2u) { - *result = 1; + *result = MP_YES; return MP_OKAY; } } /* N must be odd */ - if (mp_iseven(a) == MP_YES) { + if (MP_IS_EVEN(a)) { return MP_OKAY; } /* N is not a perfect square: floor(sqrt(N))^2 != N */ if ((err = mp_is_square(a, &res)) != MP_OKAY) { return err; } - if (res != 0) { + if (res != MP_NO) { return MP_OKAY; } /* is the input equal to one of the primes in the table? */ - for (ix = 0; ix < PRIME_SIZE; ix++) { - if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { + for (ix = 0; ix < PRIVATE_MP_PRIME_TAB_SIZE; ix++) { + if (mp_cmp_d(a, s_mp_prime_tab[ix]) == MP_EQ) { *result = MP_YES; return MP_OKAY; } } #ifdef MP_8BIT /* The search in the loop above was exhaustive in this case */ - if ((a->used == 1) && (PRIME_SIZE >= 31)) { + if ((a->used == 1) && (PRIVATE_MP_PRIME_TAB_SIZE >= 31)) { return MP_OKAY; } #endif /* first perform trial division */ - if ((err = mp_prime_is_divisible(a, &res)) != MP_OKAY) { + if ((err = s_mp_prime_is_divisible(a, &res)) != MP_OKAY) { return err; } @@ -114,10 +102,10 @@ int mp_prime_is_prime(const mp_int *a, int t, int *result) /* * Both, the Frobenius-Underwood test and the the Lucas-Selfridge test are quite - * slow so if speed is an issue, define LTM_USE_FIPS_ONLY to use M-R tests with + * slow so if speed is an issue, define LTM_USE_ONLY_MR to use M-R tests with * bases 2, 3 and t random bases. */ -#ifndef LTM_USE_FIPS_ONLY +#ifndef LTM_USE_ONLY_MR if (t >= 0) { /* * Use a Frobenius-Underwood test instead of the Lucas-Selfridge test for @@ -149,44 +137,14 @@ int mp_prime_is_prime(const mp_int *a, int t, int *result) } /* - abs(t) extra rounds of M-R to extend the range of primes it can find if t < 0. Only recommended if the input range is known to be < 3317044064679887385961981 - It uses the bases for a deterministic M-R test if input < 3317044064679887385961981 + It uses the bases necessary for a deterministic M-R test if the input is + smaller than 3317044064679887385961981 The caller has to check the size. - - Not for cryptographic use because with known bases strong M-R pseudoprimes can - be constructed. Use at least one M-R test with a random base (t >= 1). - - The 1119 bit large number - - 80383745745363949125707961434194210813883768828755814583748891752229742737653\ - 33652186502336163960045457915042023603208766569966760987284043965408232928738\ - 79185086916685732826776177102938969773947016708230428687109997439976544144845\ - 34115587245063340927902227529622941498423068816854043264575340183297861112989\ - 60644845216191652872597534901 - - has been constructed by F. Arnault (F. Arnault, "Rabin-Miller primality test: - composite numbers which pass it.", Mathematics of Computation, 1995, 64. Jg., - Nr. 209, S. 355-361), is a semiprime with the two factors - - 40095821663949960541830645208454685300518816604113250877450620473800321707011\ - 96242716223191597219733582163165085358166969145233813917169287527980445796800\ - 452592031836601 - - 20047910831974980270915322604227342650259408302056625438725310236900160853505\ - 98121358111595798609866791081582542679083484572616906958584643763990222898400\ - 226296015918301 - - and it is a strong pseudoprime to all forty-six prime M-R bases up to 200 - - It does not fail the strong Bailley-PSP test as implemented here, it is just - given as an example, if not the reason to use the BPSW-test instead of M-R-tests - with a sequence of primes 2...n. - + TODO: can be made a bit finer grained but comparing is not free. */ if (t < 0) { - t = -t; /* Sorenson, Jonathan; Webster, Jonathan (2015). "Strong Pseudoprimes to Twelve Prime Bases". @@ -212,18 +170,9 @@ int mp_prime_is_prime(const mp_int *a, int t, int *result) } } - /* for compatibility with the current API (well, compatible within a sign's width) */ - if (p_max < t) { - p_max = t; - } - - if (p_max > PRIME_SIZE) { - err = MP_VAL; - goto LBL_B; - } /* we did bases 2 and 3 already, skip them */ for (ix = 2; ix < p_max; ix++) { - mp_set(&b, ltm_prime_tab[ix]); + mp_set(&b, s_mp_prime_tab[ix]); if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { goto LBL_B; } @@ -296,19 +245,19 @@ int mp_prime_is_prime(const mp_int *a, int t, int *result) * One 8-bit digit is too small, so concatenate two if the size of * unsigned int allows for it. */ - if (((sizeof(unsigned int) * CHAR_BIT)/2) >= (sizeof(mp_digit) * CHAR_BIT)) { + if ((MP_SIZEOF_BITS(unsigned int)/2) >= MP_SIZEOF_BITS(mp_digit)) { if ((err = mp_rand(&b, 1)) != MP_OKAY) { goto LBL_B; } - fips_rand <<= sizeof(mp_digit) * CHAR_BIT; + fips_rand <<= MP_SIZEOF_BITS(mp_digit); fips_rand |= (unsigned int) b.dp[0]; fips_rand &= mask; } #endif - if (fips_rand > (unsigned int)(INT_MAX - DIGIT_BIT)) { - len = INT_MAX / DIGIT_BIT; + if (fips_rand > (unsigned int)(INT_MAX - MP_DIGIT_BIT)) { + len = INT_MAX / MP_DIGIT_BIT; } else { - len = (((int)fips_rand + DIGIT_BIT) / DIGIT_BIT); + len = (((int)fips_rand + MP_DIGIT_BIT) / MP_DIGIT_BIT); } /* Unlikely. */ if (len < 0) { @@ -363,7 +312,3 @@ LBL_B: } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_prime_miller_rabin.c b/libtommath/bn_mp_prime_miller_rabin.c index 18eba8c..96470db 100644 --- a/libtommath/bn_mp_prime_miller_rabin.c +++ b/libtommath/bn_mp_prime_miller_rabin.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_PRIME_MILLER_RABIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* Miller-Rabin test of "a" to the base of "b" as described in * HAC pp. 139 Algorithm 4.24 @@ -19,10 +10,11 @@ * Randomly the chance of error is no more than 1/4 and often * very much lower. */ -int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result) +mp_err mp_prime_miller_rabin(const mp_int *a, const mp_int *b, mp_bool *result) { mp_int n1, y, r; - int s, j, err; + mp_err err; + int s, j; /* default */ *result = MP_NO; @@ -97,7 +89,3 @@ LBL_N1: return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_prime_next_prime.c b/libtommath/bn_mp_prime_next_prime.c index 3592c86..d656565 100644 --- a/libtommath/bn_mp_prime_next_prime.c +++ b/libtommath/bn_mp_prime_next_prime.c @@ -1,45 +1,39 @@ #include "tommath_private.h" #ifdef BN_MP_PRIME_NEXT_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* finds the next prime after the number "a" using "t" trials * of Miller-Rabin. * * bbs_style = 1 means the prime must be congruent to 3 mod 4 */ -int mp_prime_next_prime(mp_int *a, int t, int bbs_style) +mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style) { - int err, res = MP_NO, x, y, cmp; - mp_digit res_tab[PRIME_SIZE], step, kstep; + int x, y; + mp_ord cmp; + mp_err err; + mp_bool res = MP_NO; + mp_digit res_tab[PRIVATE_MP_PRIME_TAB_SIZE], step, kstep; mp_int b; /* force positive */ a->sign = MP_ZPOS; /* simple algo if a is less than the largest prime in the table */ - if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { + if (mp_cmp_d(a, s_mp_prime_tab[PRIVATE_MP_PRIME_TAB_SIZE-1]) == MP_LT) { /* find which prime it is bigger than "a" */ - for (x = 0; x < PRIME_SIZE; x++) { - cmp = mp_cmp_d(a, ltm_prime_tab[x]); + for (x = 0; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) { + cmp = mp_cmp_d(a, s_mp_prime_tab[x]); if (cmp == MP_EQ) { continue; } if (cmp != MP_GT) { - if ((bbs_style == 1) && ((ltm_prime_tab[x] & 3u) != 3u)) { + if ((bbs_style == 1) && ((s_mp_prime_tab[x] & 3u) != 3u)) { /* try again until we get a prime congruent to 3 mod 4 */ continue; } else { - mp_set(a, ltm_prime_tab[x]); + mp_set(a, s_mp_prime_tab[x]); return MP_OKAY; } } @@ -64,7 +58,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) } } } else { - if (mp_iseven(a) == MP_YES) { + if (MP_IS_EVEN(a)) { /* force odd */ if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) { return err; @@ -73,8 +67,8 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) } /* generate the restable */ - for (x = 1; x < PRIME_SIZE; x++) { - if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { + for (x = 1; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) { + if ((err = mp_mod_d(a, s_mp_prime_tab[x], res_tab + x)) != MP_OKAY) { return err; } } @@ -95,13 +89,13 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) step += kstep; /* compute the new residue without using division */ - for (x = 1; x < PRIME_SIZE; x++) { + for (x = 1; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) { /* add the step to each residue */ res_tab[x] += kstep; /* subtract the modulus [instead of using division] */ - if (res_tab[x] >= ltm_prime_tab[x]) { - res_tab[x] -= ltm_prime_tab[x]; + if (res_tab[x] >= s_mp_prime_tab[x]) { + res_tab[x] -= s_mp_prime_tab[x]; } /* set flag if zero */ @@ -109,15 +103,15 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) y = 1; } } - } while ((y == 1) && (step < (((mp_digit)1 << DIGIT_BIT) - kstep))); + } while ((y == 1) && (step < (((mp_digit)1 << MP_DIGIT_BIT) - kstep))); /* add the step */ if ((err = mp_add_d(a, step, a)) != MP_OKAY) { goto LBL_ERR; } - /* if didn't pass sieve and step == MAX then skip test */ - if ((y == 1) && (step >= (((mp_digit)1 << DIGIT_BIT) - kstep))) { + /* if didn't pass sieve and step == MP_MAX then skip test */ + if ((y == 1) && (step >= (((mp_digit)1 << MP_DIGIT_BIT) - kstep))) { continue; } @@ -136,7 +130,3 @@ LBL_ERR: } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_prime_rabin_miller_trials.c b/libtommath/bn_mp_prime_rabin_miller_trials.c index d92c20f..8bbaf6c 100644 --- a/libtommath/bn_mp_prime_rabin_miller_trials.c +++ b/libtommath/bn_mp_prime_rabin_miller_trials.c @@ -1,38 +1,34 @@ #include "tommath_private.h" #ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ static const struct { int k, t; } sizes[] = { - { 80, -1 }, /* Use deterministic algorithm for size <= 80 bits */ - { 81, 39 }, - { 96, 37 }, - { 128, 32 }, - { 160, 27 }, - { 192, 21 }, - { 256, 16 }, - { 384, 10 }, - { 512, 7 }, - { 640, 6 }, - { 768, 5 }, - { 896, 4 }, - { 1024, 4 }, - { 2048, 2 } /* For bigger keysizes use always at least 2 Rounds */ + { 80, -1 }, /* Use deterministic algorithm for size <= 80 bits */ + { 81, 37 }, /* max. error = 2^(-96)*/ + { 96, 32 }, /* max. error = 2^(-96)*/ + { 128, 40 }, /* max. error = 2^(-112)*/ + { 160, 35 }, /* max. error = 2^(-112)*/ + { 256, 27 }, /* max. error = 2^(-128)*/ + { 384, 16 }, /* max. error = 2^(-128)*/ + { 512, 18 }, /* max. error = 2^(-160)*/ + { 768, 11 }, /* max. error = 2^(-160)*/ + { 896, 10 }, /* max. error = 2^(-160)*/ + { 1024, 12 }, /* max. error = 2^(-192)*/ + { 1536, 8 }, /* max. error = 2^(-192)*/ + { 2048, 6 }, /* max. error = 2^(-192)*/ + { 3072, 4 }, /* max. error = 2^(-192)*/ + { 4096, 5 }, /* max. error = 2^(-256)*/ + { 5120, 4 }, /* max. error = 2^(-256)*/ + { 6144, 4 }, /* max. error = 2^(-256)*/ + { 8192, 3 }, /* max. error = 2^(-256)*/ + { 9216, 3 }, /* max. error = 2^(-256)*/ + { 10240, 2 } /* For bigger keysizes use always at least 2 Rounds */ }; -/* returns # of RM trials required for a given bit size and max. error of 2^(-96)*/ +/* returns # of RM trials required for a given bit size */ int mp_prime_rabin_miller_trials(int size) { int x; @@ -49,7 +45,3 @@ int mp_prime_rabin_miller_trials(int size) #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_prime_rand.c b/libtommath/bn_mp_prime_rand.c new file mode 100644 index 0000000..4530e9a --- /dev/null +++ b/libtommath/bn_mp_prime_rand.c @@ -0,0 +1,141 @@ +#include "tommath_private.h" +#ifdef BN_MP_PRIME_RAND_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* makes a truly random prime of a given size (bits), + * + * Flags are as follows: + * + * MP_PRIME_BBS - make prime congruent to 3 mod 4 + * MP_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies MP_PRIME_BBS) + * MP_PRIME_2MSB_ON - make the 2nd highest bit one + * + * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can + * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself + * so it can be NULL + * + */ + +/* This is possibly the mother of all prime generation functions, muahahahahaha! */ +mp_err s_mp_prime_random_ex(mp_int *a, int t, int size, int flags, private_mp_prime_callback cb, void *dat) +{ + unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb; + int bsize, maskOR_msb_offset; + mp_bool res; + mp_err err; + + /* sanity check the input */ + if ((size <= 1) || (t <= 0)) { + return MP_VAL; + } + + /* MP_PRIME_SAFE implies MP_PRIME_BBS */ + if ((flags & MP_PRIME_SAFE) != 0) { + flags |= MP_PRIME_BBS; + } + + /* calc the byte size */ + bsize = (size>>3) + ((size&7)?1:0); + + /* we need a buffer of bsize bytes */ + tmp = (unsigned char *) MP_MALLOC((size_t)bsize); + if (tmp == NULL) { + return MP_MEM; + } + + /* calc the maskAND value for the MSbyte*/ + maskAND = ((size&7) == 0) ? 0xFFu : (unsigned char)(0xFFu >> (8 - (size & 7))); + + /* calc the maskOR_msb */ + maskOR_msb = 0; + maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; + if ((flags & MP_PRIME_2MSB_ON) != 0) { + maskOR_msb |= (unsigned char)(0x80 >> ((9 - size) & 7)); + } + + /* get the maskOR_lsb */ + maskOR_lsb = 1u; + if ((flags & MP_PRIME_BBS) != 0) { + maskOR_lsb |= 3u; + } + + do { + /* read the bytes */ + if (cb(tmp, bsize, dat) != bsize) { + err = MP_VAL; + goto error; + } + + /* work over the MSbyte */ + tmp[0] &= maskAND; + tmp[0] |= (unsigned char)(1 << ((size - 1) & 7)); + + /* mix in the maskORs */ + tmp[maskOR_msb_offset] |= maskOR_msb; + tmp[bsize-1] |= maskOR_lsb; + + /* read it in */ + /* TODO: casting only for now until all lengths have been changed to the type "size_t"*/ + if ((err = mp_from_ubin(a, tmp, (size_t)bsize)) != MP_OKAY) { + goto error; + } + + /* is it prime? */ + if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { + goto error; + } + if (res == MP_NO) { + continue; + } + + if ((flags & MP_PRIME_SAFE) != 0) { + /* see if (a-1)/2 is prime */ + if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) { + goto error; + } + if ((err = mp_div_2(a, a)) != MP_OKAY) { + goto error; + } + + /* is it prime? */ + if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { + goto error; + } + } + } while (res == MP_NO); + + if ((flags & MP_PRIME_SAFE) != 0) { + /* restore a to the original value */ + if ((err = mp_mul_2(a, a)) != MP_OKAY) { + goto error; + } + if ((err = mp_add_d(a, 1uL, a)) != MP_OKAY) { + goto error; + } + } + + err = MP_OKAY; +error: + MP_FREE_BUFFER(tmp, (size_t)bsize); + return err; +} + +static int s_mp_rand_cb(unsigned char *dst, int len, void *dat) +{ + (void)dat; + if (len <= 0) { + return len; + } + if (s_mp_rand_source(dst, (size_t)len) != MP_OKAY) { + return 0; + } + return len; +} + +mp_err mp_prime_rand(mp_int *a, int t, int size, int flags) +{ + return s_mp_prime_random_ex(a, t, size, flags, s_mp_rand_cb, NULL); +} + +#endif diff --git a/libtommath/bn_mp_prime_random_ex.c b/libtommath/bn_mp_prime_random_ex.c deleted file mode 100644 index 82f599e..0000000 --- a/libtommath/bn_mp_prime_random_ex.c +++ /dev/null @@ -1,135 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_PRIME_RANDOM_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* makes a truly random prime of a given size (bits), - * - * Flags are as follows: - * - * LTM_PRIME_BBS - make prime congruent to 3 mod 4 - * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_ON - make the 2nd highest bit one - * - * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can - * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself - * so it can be NULL - * - */ - -/* This is possibly the mother of all prime generation functions, muahahahahaha! */ -int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat) -{ - unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb; - int res, err, bsize, maskOR_msb_offset; - - /* sanity check the input */ - if ((size <= 1) || (t <= 0)) { - return MP_VAL; - } - - /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if ((flags & LTM_PRIME_SAFE) != 0) { - flags |= LTM_PRIME_BBS; - } - - /* calc the byte size */ - bsize = (size>>3) + ((size&7)?1:0); - - /* we need a buffer of bsize bytes */ - tmp = OPT_CAST(unsigned char) XMALLOC((size_t)bsize); - if (tmp == NULL) { - return MP_MEM; - } - - /* calc the maskAND value for the MSbyte*/ - maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7))); - - /* calc the maskOR_msb */ - maskOR_msb = 0; - maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if ((flags & LTM_PRIME_2MSB_ON) != 0) { - maskOR_msb |= 0x80 >> ((9 - size) & 7); - } - - /* get the maskOR_lsb */ - maskOR_lsb = 1; - if ((flags & LTM_PRIME_BBS) != 0) { - maskOR_lsb |= 3; - } - - do { - /* read the bytes */ - if (cb(tmp, bsize, dat) != bsize) { - err = MP_VAL; - goto error; - } - - /* work over the MSbyte */ - tmp[0] &= maskAND; - tmp[0] |= 1 << ((size - 1) & 7); - - /* mix in the maskORs */ - tmp[maskOR_msb_offset] |= maskOR_msb; - tmp[bsize-1] |= maskOR_lsb; - - /* read it in */ - if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { - goto error; - } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { - goto error; - } - if (res == MP_NO) { - continue; - } - - if ((flags & LTM_PRIME_SAFE) != 0) { - /* see if (a-1)/2 is prime */ - if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) { - goto error; - } - if ((err = mp_div_2(a, a)) != MP_OKAY) { - goto error; - } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { - goto error; - } - } - } while (res == MP_NO); - - if ((flags & LTM_PRIME_SAFE) != 0) { - /* restore a to the original value */ - if ((err = mp_mul_2(a, a)) != MP_OKAY) { - goto error; - } - if ((err = mp_add_d(a, 1uL, a)) != MP_OKAY) { - goto error; - } - } - - err = MP_OKAY; -error: - XFREE(tmp); - return err; -} - - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_prime_strong_lucas_selfridge.c b/libtommath/bn_mp_prime_strong_lucas_selfridge.c index ae4fc8f..b50bbcd 100644 --- a/libtommath/bn_mp_prime_strong_lucas_selfridge.c +++ b/libtommath/bn_mp_prime_strong_lucas_selfridge.c @@ -1,22 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* * See file bn_mp_prime_is_prime.c or the documentation in doc/bn.tex for the details */ -#ifndef LTM_USE_FIPS_ONLY +#ifndef LTM_USE_ONLY_MR /* * 8-bit is just too small. You can try the Frobenius test @@ -28,33 +19,21 @@ * multiply bigint a with int d and put the result in c * Like mp_mul_d() but with a signed long as the small input */ -static int s_mp_mul_si(const mp_int *a, long d, mp_int *c) +static mp_err s_mp_mul_si(const mp_int *a, int32_t d, mp_int *c) { mp_int t; - int err, neg = 0; + mp_err err; if ((err = mp_init(&t)) != MP_OKAY) { return err; } - if (d < 0) { - neg = 1; - d = -d; - } /* * mp_digit might be smaller than a long, which excludes * the use of mp_mul_d() here. */ - if ((err = mp_set_long(&t, (unsigned long) d)) != MP_OKAY) { - goto LBL_MPMULSI_ERR; - } - if ((err = mp_mul(a, &t, c)) != MP_OKAY) { - goto LBL_MPMULSI_ERR; - } - if (neg == 1) { - c->sign = (a->sign == MP_NEG) ? MP_ZPOS: MP_NEG; - } -LBL_MPMULSI_ERR: + mp_set_i32(&t, d); + err = mp_mul(a, &t, c); mp_clear(&t); return err; } @@ -75,14 +54,14 @@ LBL_MPMULSI_ERR: (If that name sounds familiar, he is the guy who found the fdiv bug in the Pentium (P5x, I think) Intel processor) */ -int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) +mp_err mp_prime_strong_lucas_selfridge(const mp_int *a, mp_bool *result) { /* CZ TODO: choose better variable names! */ mp_int Dz, gcd, Np1, Uz, Vz, U2mz, V2mz, Qmz, Q2mz, Qkdz, T1z, T2z, T3z, T4z, Q2kdz; /* CZ TODO: Some of them need the full 32 bit, hence the (temporary) exclusion of MP_8BIT */ int32_t D, Ds, J, sign, P, Q, r, s, u, Nbits; - int e; - int isset, oddness; + mp_err err; + mp_bool oddness; *result = MP_NO; /* @@ -93,9 +72,9 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) included. */ - if ((e = mp_init_multi(&Dz, &gcd, &Np1, &Uz, &Vz, &U2mz, &V2mz, &Qmz, &Q2mz, &Qkdz, &T1z, &T2z, &T3z, &T4z, &Q2kdz, - NULL)) != MP_OKAY) { - return e; + if ((err = mp_init_multi(&Dz, &gcd, &Np1, &Uz, &Vz, &U2mz, &V2mz, &Qmz, &Q2mz, &Qkdz, &T1z, &T2z, &T3z, &T4z, &Q2kdz, + NULL)) != MP_OKAY) { + return err; } D = 5; @@ -104,12 +83,9 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) for (;;) { Ds = sign * D; sign = -sign; - if ((e = mp_set_long(&Dz, (unsigned long)D)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_gcd(a, &Dz, &gcd)) != MP_OKAY) { - goto LBL_LS_ERR; - } + mp_set_u32(&Dz, (uint32_t)D); + if ((err = mp_gcd(a, &Dz, &gcd)) != MP_OKAY) goto LBL_LS_ERR; + /* if 1 < GCD < N then N is composite with factor "D", and Jacobi(D,N) is technically undefined (but often returned as zero). */ @@ -119,9 +95,7 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) if (Ds < 0) { Dz.sign = MP_NEG; } - if ((e = mp_kronecker(&Dz, a, &J)) != MP_OKAY) { - goto LBL_LS_ERR; - } + if ((err = mp_kronecker(&Dz, a, &J)) != MP_OKAY) goto LBL_LS_ERR; if (J == -1) { break; @@ -129,7 +103,7 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) D += 2; if (D > (INT_MAX - 2)) { - e = MP_VAL; + err = MP_VAL; goto LBL_LS_ERR; } } @@ -169,9 +143,7 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) Baillie-PSW test based on the strong Lucas-Selfridge test should be more reliable. */ - if ((e = mp_add_d(a, 1uL, &Np1)) != MP_OKAY) { - goto LBL_LS_ERR; - } + if ((err = mp_add_d(a, 1uL, &Np1)) != MP_OKAY) goto LBL_LS_ERR; s = mp_cnt_lsb(&Np1); /* CZ @@ -181,9 +153,7 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) * dividing an even number by two does not produce * any leftovers. */ - if ((e = mp_div_2d(&Np1, s, &Dz, NULL)) != MP_OKAY) { - goto LBL_LS_ERR; - } + if ((err = mp_div_2d(&Np1, s, &Dz, NULL)) != MP_OKAY) goto LBL_LS_ERR; /* We must now compute U_d and V_d. Since d is odd, the accumulated values U and V are initialized to U_1 and V_1 (if the target index were even, U and V would be initialized instead to U_0=0 @@ -200,34 +170,10 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) mp_set(&U2mz, 1uL); /* U_1 */ mp_set(&V2mz, (mp_digit)P); /* V_1 */ - if (Q < 0) { - Q = -Q; - if ((e = mp_set_long(&Qmz, (unsigned long)Q)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mul_2(&Qmz, &Q2mz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - /* Initializes calculation of Q^d */ - if ((e = mp_set_long(&Qkdz, (unsigned long)Q)) != MP_OKAY) { - goto LBL_LS_ERR; - } - Qmz.sign = MP_NEG; - Q2mz.sign = MP_NEG; - Qkdz.sign = MP_NEG; - Q = -Q; - } else { - if ((e = mp_set_long(&Qmz, (unsigned long)Q)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mul_2(&Qmz, &Q2mz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - /* Initializes calculation of Q^d */ - if ((e = mp_set_long(&Qkdz, (unsigned long)Q)) != MP_OKAY) { - goto LBL_LS_ERR; - } - } + mp_set_i32(&Qmz, Q); + if ((err = mp_mul_2(&Qmz, &Q2mz)) != MP_OKAY) goto LBL_LS_ERR; + /* Initializes calculation of Q^d */ + mp_set_i32(&Qkdz, Q); Nbits = mp_count_bits(&Dz); @@ -240,37 +186,20 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) * V_2m = V_m*V_m - 2*Q^m */ - if ((e = mp_mul(&U2mz, &V2mz, &U2mz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mod(&U2mz, a, &U2mz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_sqr(&V2mz, &V2mz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_sub(&V2mz, &Q2mz, &V2mz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mod(&V2mz, a, &V2mz)) != MP_OKAY) { - goto LBL_LS_ERR; - } + if ((err = mp_mul(&U2mz, &V2mz, &U2mz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mod(&U2mz, a, &U2mz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_sqr(&V2mz, &V2mz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_sub(&V2mz, &Q2mz, &V2mz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mod(&V2mz, a, &V2mz)) != MP_OKAY) goto LBL_LS_ERR; + /* Must calculate powers of Q for use in V_2m, also for Q^d later */ - if ((e = mp_sqr(&Qmz, &Qmz)) != MP_OKAY) { - goto LBL_LS_ERR; - } + if ((err = mp_sqr(&Qmz, &Qmz)) != MP_OKAY) goto LBL_LS_ERR; + /* prevents overflow */ /* CZ still necessary without a fixed prealloc'd mem.? */ - if ((e = mp_mod(&Qmz, a, &Qmz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mul_2(&Qmz, &Q2mz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((isset = mp_get_bit(&Dz, u)) == MP_VAL) { - e = isset; - goto LBL_LS_ERR; - } - if (isset == MP_YES) { + if ((err = mp_mod(&Qmz, a, &Qmz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mul_2(&Qmz, &Q2mz)) != MP_OKAY) goto LBL_LS_ERR; + + if (s_mp_get_bit(&Dz, (unsigned int)u) == MP_YES) { /* Formulas for addition of indices (carried out mod N); * * U_(m+n) = (U_m*V_n + U_n*V_m)/2 @@ -278,79 +207,46 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) * * Be careful with division by 2 (mod N)! */ - if ((e = mp_mul(&U2mz, &Vz, &T1z)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mul(&Uz, &V2mz, &T2z)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mul(&V2mz, &Vz, &T3z)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mul(&U2mz, &Uz, &T4z)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = s_mp_mul_si(&T4z, (long)Ds, &T4z)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_add(&T1z, &T2z, &Uz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if (mp_isodd(&Uz) != MP_NO) { - if ((e = mp_add(&Uz, a, &Uz)) != MP_OKAY) { - goto LBL_LS_ERR; - } + if ((err = mp_mul(&U2mz, &Vz, &T1z)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mul(&Uz, &V2mz, &T2z)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mul(&V2mz, &Vz, &T3z)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mul(&U2mz, &Uz, &T4z)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = s_mp_mul_si(&T4z, Ds, &T4z)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_add(&T1z, &T2z, &Uz)) != MP_OKAY) goto LBL_LS_ERR; + if (MP_IS_ODD(&Uz)) { + if ((err = mp_add(&Uz, a, &Uz)) != MP_OKAY) goto LBL_LS_ERR; } /* CZ * This should round towards negative infinity because * Thomas R. Nicely used GMP's mpz_fdiv_q_2exp(). * But mp_div_2() does not do so, it is truncating instead. */ - oddness = mp_isodd(&Uz); - if ((e = mp_div_2(&Uz, &Uz)) != MP_OKAY) { - goto LBL_LS_ERR; - } + oddness = MP_IS_ODD(&Uz) ? MP_YES : MP_NO; + if ((err = mp_div_2(&Uz, &Uz)) != MP_OKAY) goto LBL_LS_ERR; if ((Uz.sign == MP_NEG) && (oddness != MP_NO)) { - if ((e = mp_sub_d(&Uz, 1uL, &Uz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - } - if ((e = mp_add(&T3z, &T4z, &Vz)) != MP_OKAY) { - goto LBL_LS_ERR; + if ((err = mp_sub_d(&Uz, 1uL, &Uz)) != MP_OKAY) goto LBL_LS_ERR; } - if (mp_isodd(&Vz) != MP_NO) { - if ((e = mp_add(&Vz, a, &Vz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - } - oddness = mp_isodd(&Vz); - if ((e = mp_div_2(&Vz, &Vz)) != MP_OKAY) { - goto LBL_LS_ERR; + if ((err = mp_add(&T3z, &T4z, &Vz)) != MP_OKAY) goto LBL_LS_ERR; + if (MP_IS_ODD(&Vz)) { + if ((err = mp_add(&Vz, a, &Vz)) != MP_OKAY) goto LBL_LS_ERR; } + oddness = MP_IS_ODD(&Vz) ? MP_YES : MP_NO; + if ((err = mp_div_2(&Vz, &Vz)) != MP_OKAY) goto LBL_LS_ERR; if ((Vz.sign == MP_NEG) && (oddness != MP_NO)) { - if ((e = mp_sub_d(&Vz, 1uL, &Vz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - } - if ((e = mp_mod(&Uz, a, &Uz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mod(&Vz, a, &Vz)) != MP_OKAY) { - goto LBL_LS_ERR; + if ((err = mp_sub_d(&Vz, 1uL, &Vz)) != MP_OKAY) goto LBL_LS_ERR; } + if ((err = mp_mod(&Uz, a, &Uz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mod(&Vz, a, &Vz)) != MP_OKAY) goto LBL_LS_ERR; + /* Calculating Q^d for later use */ - if ((e = mp_mul(&Qkdz, &Qmz, &Qkdz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mod(&Qkdz, a, &Qkdz)) != MP_OKAY) { - goto LBL_LS_ERR; - } + if ((err = mp_mul(&Qkdz, &Qmz, &Qkdz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mod(&Qkdz, a, &Qkdz)) != MP_OKAY) goto LBL_LS_ERR; } } /* If U_d or V_d is congruent to 0 mod N, then N is a prime or a strong Lucas pseudoprime. */ - if ((mp_iszero(&Uz) != MP_NO) || (mp_iszero(&Vz) != MP_NO)) { + if (MP_IS_ZERO(&Uz) || MP_IS_ZERO(&Vz)) { *result = MP_YES; goto LBL_LS_ERR; } @@ -367,45 +263,27 @@ int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) Lucas pseudoprime. */ /* Initialize 2*Q^(d*2^r) for V_2m */ - if ((e = mp_mul_2(&Qkdz, &Q2kdz)) != MP_OKAY) { - goto LBL_LS_ERR; - } + if ((err = mp_mul_2(&Qkdz, &Q2kdz)) != MP_OKAY) goto LBL_LS_ERR; for (r = 1; r < s; r++) { - if ((e = mp_sqr(&Vz, &Vz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_sub(&Vz, &Q2kdz, &Vz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mod(&Vz, a, &Vz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if (mp_iszero(&Vz) != MP_NO) { + if ((err = mp_sqr(&Vz, &Vz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_sub(&Vz, &Q2kdz, &Vz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mod(&Vz, a, &Vz)) != MP_OKAY) goto LBL_LS_ERR; + if (MP_IS_ZERO(&Vz)) { *result = MP_YES; goto LBL_LS_ERR; } /* Calculate Q^{d*2^r} for next r (final iteration irrelevant). */ if (r < (s - 1)) { - if ((e = mp_sqr(&Qkdz, &Qkdz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mod(&Qkdz, a, &Qkdz)) != MP_OKAY) { - goto LBL_LS_ERR; - } - if ((e = mp_mul_2(&Qkdz, &Q2kdz)) != MP_OKAY) { - goto LBL_LS_ERR; - } + if ((err = mp_sqr(&Qkdz, &Qkdz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mod(&Qkdz, a, &Qkdz)) != MP_OKAY) goto LBL_LS_ERR; + if ((err = mp_mul_2(&Qkdz, &Q2kdz)) != MP_OKAY) goto LBL_LS_ERR; } } LBL_LS_ERR: mp_clear_multi(&Q2kdz, &T4z, &T3z, &T2z, &T1z, &Qkdz, &Q2mz, &Qmz, &V2mz, &U2mz, &Vz, &Uz, &Np1, &gcd, &Dz, NULL); - return e; + return err; } #endif #endif #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 6b0ee30..b96f487 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -1,22 +1,14 @@ #include "tommath_private.h" #ifdef BN_MP_RADIX_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ -/* returns size of ASCII reprensentation */ -int mp_radix_size(const mp_int *a, int radix, int *size) +/* returns size of ASCII representation */ +mp_err mp_radix_size(const mp_int *a, int radix, int *size) { - int res, digs; - mp_int t; + mp_err err; + int digs; + mp_int t; mp_digit d; *size = 0; @@ -26,14 +18,14 @@ int mp_radix_size(const mp_int *a, int radix, int *size) return MP_VAL; } - if (mp_iszero(a) == MP_YES) { + if (MP_IS_ZERO(a)) { *size = 2; return MP_OKAY; } /* special case for binary */ if (radix == 2) { - *size = mp_count_bits(a) + ((a->sign == MP_NEG) ? 1 : 0) + 1; + *size = (mp_count_bits(a) + ((a->sign == MP_NEG) ? 1 : 0) + 1); return MP_OKAY; } @@ -46,30 +38,28 @@ int mp_radix_size(const mp_int *a, int radix, int *size) } /* init a copy of the input */ - if ((res = mp_init_copy(&t, a)) != MP_OKAY) { - return res; + if ((err = mp_init_copy(&t, a)) != MP_OKAY) { + return err; } /* force temp to positive */ t.sign = MP_ZPOS; /* fetch out all of the digits */ - while (mp_iszero(&t) == MP_NO) { - if ((res = mp_div_d(&t, (mp_digit)radix, &t, &d)) != MP_OKAY) { - mp_clear(&t); - return res; + while (!MP_IS_ZERO(&t)) { + if ((err = mp_div_d(&t, (mp_digit)radix, &t, &d)) != MP_OKAY) { + goto LBL_ERR; } ++digs; } - mp_clear(&t); /* return digs + 1, the 1 is for the NULL byte that would be required. */ *size = digs + 1; - return MP_OKAY; + err = MP_OKAY; + +LBL_ERR: + mp_clear(&t); + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_radix_smap.c b/libtommath/bn_mp_radix_smap.c index 07f9039..a16128d 100644 --- a/libtommath/bn_mp_radix_smap.c +++ b/libtommath/bn_mp_radix_smap.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_RADIX_SMAP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* chars used in radix conversions */ const char *const mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; @@ -29,7 +20,3 @@ const uint8_t mp_s_rmap_reverse[] = { }; const size_t mp_s_rmap_reverse_sz = sizeof(mp_s_rmap_reverse); #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_rand.c b/libtommath/bn_mp_rand.c index 06a6f93..7e9052c 100644 --- a/libtommath/bn_mp_rand.c +++ b/libtommath/bn_mp_rand.c @@ -1,222 +1,46 @@ #include "tommath_private.h" #ifdef BN_MP_RAND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ -/* First the OS-specific special cases - * - *BSD - * - Windows - */ -#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) -#define MP_ARC4RANDOM -#define MP_GEN_RANDOM_MAX 0xffffffffu -#define MP_GEN_RANDOM_SHIFT 32 +mp_err(*s_mp_rand_source)(void *out, size_t size) = s_mp_rand_platform; -static int s_read_arc4random(mp_digit *p) +void mp_rand_source(mp_err(*source)(void *out, size_t size)) { - mp_digit d = 0, msk = 0; - do { - d <<= MP_GEN_RANDOM_SHIFT; - d |= ((mp_digit) arc4random()); - msk <<= MP_GEN_RANDOM_SHIFT; - msk |= (MP_MASK & MP_GEN_RANDOM_MAX); - } while ((MP_MASK & msk) != MP_MASK); - *p = d; - return MP_OKAY; -} -#endif - -#if defined(_WIN32) || defined(_WIN32_WCE) -#define MP_WIN_CSP - -#ifndef _WIN32_WINNT -#define _WIN32_WINNT 0x0400 -#endif -#ifdef _WIN32_WCE -#define UNDER_CE -#define ARM -#endif - -#define WIN32_LEAN_AND_MEAN -#include -#include - -static HCRYPTPROV hProv = 0; - -static void s_cleanup_win_csp(void) -{ - CryptReleaseContext(hProv, 0); - hProv = 0; -} - -static int s_read_win_csp(mp_digit *p) -{ - int ret = -1; - if (hProv == 0) { - if (!CryptAcquireContext(&hProv, NULL, MS_DEF_PROV, PROV_RSA_FULL, - (CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET)) && - !CryptAcquireContext(&hProv, NULL, MS_DEF_PROV, PROV_RSA_FULL, - CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET | CRYPT_NEWKEYSET)) { - hProv = 0; - return ret; - } - atexit(s_cleanup_win_csp); - } - if (CryptGenRandom(hProv, sizeof(*p), (void *)p) == TRUE) { - ret = MP_OKAY; - } - return ret; + s_mp_rand_source = (source == NULL) ? s_mp_rand_platform : source; } -#endif /* WIN32 */ -#if !defined(MP_WIN_CSP) && defined(__linux__) && defined(__GLIBC_PREREQ) -#if __GLIBC_PREREQ(2, 25) -#define MP_GETRANDOM -#include -#include - -static int s_read_getrandom(mp_digit *p) +mp_err mp_rand(mp_int *a, int digits) { - int ret; - do { - ret = getrandom(p, sizeof(*p), 0); - } while ((ret == -1) && (errno == EINTR)); - if (ret == sizeof(*p)) return MP_OKAY; - return -1; -} -#endif -#endif - -/* We assume all platforms besides windows provide "/dev/urandom". - * In case yours doesn't, define MP_NO_DEV_URANDOM at compile-time. - */ -#if !defined(MP_WIN_CSP) && !defined(MP_NO_DEV_URANDOM) -#ifndef MP_DEV_URANDOM -#define MP_DEV_URANDOM "/dev/urandom" -#endif -#include -#include -#include - -static int s_read_dev_urandom(mp_digit *p) -{ - ssize_t r; - int fd; - do { - fd = open(MP_DEV_URANDOM, O_RDONLY); - } while ((fd == -1) && (errno == EINTR)); - if (fd == -1) return -1; - do { - r = read(fd, p, sizeof(*p)); - } while ((r == -1) && (errno == EINTR)); - close(fd); - if (r != sizeof(*p)) return -1; - return MP_OKAY; -} -#endif - -#if defined(MP_PRNG_ENABLE_LTM_RNG) -unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void)); -void (*ltm_rng_callback)(void); - -static int s_read_ltm_rng(mp_digit *p) -{ - unsigned long ret; - if (ltm_rng == NULL) return -1; - ret = ltm_rng((void *)p, sizeof(*p), ltm_rng_callback); - if (ret != sizeof(*p)) return -1; - return MP_OKAY; -} -#endif - -static int s_rand_digit(mp_digit *p) -{ - int ret = -1; - -#if defined(MP_ARC4RANDOM) - ret = s_read_arc4random(p); - if (ret == MP_OKAY) return ret; -#endif - -#if defined(MP_WIN_CSP) - ret = s_read_win_csp(p); - if (ret == MP_OKAY) return ret; -#else - -#if defined(MP_GETRANDOM) - ret = s_read_getrandom(p); - if (ret == MP_OKAY) return ret; -#endif -#if defined(MP_DEV_URANDOM) - ret = s_read_dev_urandom(p); - if (ret == MP_OKAY) return ret; -#endif - -#endif /* MP_WIN_CSP */ - -#if defined(MP_PRNG_ENABLE_LTM_RNG) - ret = s_read_ltm_rng(p); - if (ret == MP_OKAY) return ret; -#endif - - return ret; -} - -/* makes a pseudo-random int of a given size */ -int mp_rand_digit(mp_digit *r) -{ - int ret = s_rand_digit(r); - *r &= MP_MASK; - return ret; -} - -int mp_rand(mp_int *a, int digits) -{ - int res; - mp_digit d; + int i; + mp_err err; mp_zero(a); + if (digits <= 0) { return MP_OKAY; } - /* first place a random non-zero digit */ - do { - if (mp_rand_digit(&d) != MP_OKAY) { - return MP_VAL; - } - } while (d == 0u); + if ((err = mp_grow(a, digits)) != MP_OKAY) { + return err; + } - if ((res = mp_add_d(a, d, a)) != MP_OKAY) { - return res; + if ((err = s_mp_rand_source(a->dp, (size_t)digits * sizeof(mp_digit))) != MP_OKAY) { + return err; } - while (--digits > 0) { - if ((res = mp_lshd(a, 1)) != MP_OKAY) { - return res; + /* TODO: We ensure that the highest digit is nonzero. Should this be removed? */ + while ((a->dp[digits - 1] & MP_MASK) == 0u) { + if ((err = s_mp_rand_source(a->dp + digits - 1, sizeof(mp_digit))) != MP_OKAY) { + return err; } + } - if (mp_rand_digit(&d) != MP_OKAY) { - return MP_VAL; - } - if ((res = mp_add_d(a, d, a)) != MP_OKAY) { - return res; - } + a->used = digits; + for (i = 0; i < digits; ++i) { + a->dp[i] &= MP_MASK; } return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_read_radix.c b/libtommath/bn_mp_read_radix.c index c3119d0..de18e06 100644 --- a/libtommath/bn_mp_read_radix.c +++ b/libtommath/bn_mp_read_radix.c @@ -1,23 +1,18 @@ #include "tommath_private.h" #ifdef BN_MP_READ_RADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +#define MP_TOUPPER(c) ((((c) >= 'a') && ((c) <= 'z')) ? (((c) + 'A') - 'a') : (c)) /* read a string [ASCII] in a given radix */ -int mp_read_radix(mp_int *a, const char *str, int radix) +mp_err mp_read_radix(mp_int *a, const char *str, int radix) { - int y, res, neg; + mp_err err; + int y; + mp_sign neg; unsigned pos; - char ch; + char ch; /* zero the digit bignum */ mp_zero(a); @@ -46,7 +41,7 @@ int mp_read_radix(mp_int *a, const char *str, int radix) * this allows numbers like 1AB and 1ab to represent the same value * [e.g. in hex] */ - ch = (radix <= 36) ? (char)toupper((int)*str) : *str; + ch = (radix <= 36) ? (char)MP_TOUPPER((int)*str) : *str; pos = (unsigned)(ch - '('); if (mp_s_rmap_reverse_sz < pos) { break; @@ -60,11 +55,11 @@ int mp_read_radix(mp_int *a, const char *str, int radix) if ((y == 0xff) || (y >= radix)) { break; } - if ((res = mp_mul_d(a, (mp_digit)radix, a)) != MP_OKAY) { - return res; + if ((err = mp_mul_d(a, (mp_digit)radix, a)) != MP_OKAY) { + return err; } - if ((res = mp_add_d(a, (mp_digit)y, a)) != MP_OKAY) { - return res; + if ((err = mp_add_d(a, (mp_digit)y, a)) != MP_OKAY) { + return err; } ++str; } @@ -76,13 +71,9 @@ int mp_read_radix(mp_int *a, const char *str, int radix) } /* set the sign only if a != 0 */ - if (mp_iszero(a) != MP_YES) { + if (!MP_IS_ZERO(a)) { a->sign = neg; } return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_read_signed_bin.c b/libtommath/bn_mp_read_signed_bin.c deleted file mode 100644 index c35a599..0000000 --- a/libtommath/bn_mp_read_signed_bin.c +++ /dev/null @@ -1,38 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_READ_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* read signed bin, big endian, first byte is 0==positive or 1==negative */ -int mp_read_signed_bin(mp_int *a, const unsigned char *b, int c) -{ - int res; - - /* read magnitude */ - if ((res = mp_read_unsigned_bin(a, b + 1, c - 1)) != MP_OKAY) { - return res; - } - - /* first byte is 0 for positive, non-zero for negative */ - if (b[0] == (unsigned char)0) { - a->sign = MP_ZPOS; - } else { - a->sign = MP_NEG; - } - - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_read_unsigned_bin.c b/libtommath/bn_mp_read_unsigned_bin.c deleted file mode 100644 index 3dd00f6..0000000 --- a/libtommath/bn_mp_read_unsigned_bin.c +++ /dev/null @@ -1,52 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_READ_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* reads a unsigned char array, assumes the msb is stored first [big endian] */ -int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c) -{ - int res; - - /* make sure there are at least two digits */ - if (a->alloc < 2) { - if ((res = mp_grow(a, 2)) != MP_OKAY) { - return res; - } - } - - /* zero the int */ - mp_zero(a); - - /* read the bytes in */ - while (c-- > 0) { - if ((res = mp_mul_2d(a, 8, a)) != MP_OKAY) { - return res; - } - -#ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; -#else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7) & 1u); - a->used += 2; -#endif - } - mp_clamp(a); - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_reduce.c b/libtommath/bn_mp_reduce.c index 9cb9d2a..3c669d4 100644 --- a/libtommath/bn_mp_reduce.c +++ b/libtommath/bn_mp_reduce.c @@ -1,86 +1,76 @@ #include "tommath_private.h" #ifdef BN_MP_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* reduces x mod m, assumes 0 < x < m**2, mu is * precomputed via mp_reduce_setup. * From HAC pp.604 Algorithm 14.42 */ -int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) +mp_err mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) { mp_int q; - int res, um = m->used; + mp_err err; + int um = m->used; /* q = x */ - if ((res = mp_init_copy(&q, x)) != MP_OKAY) { - return res; + if ((err = mp_init_copy(&q, x)) != MP_OKAY) { + return err; } /* q1 = x / b**(k-1) */ mp_rshd(&q, um - 1); /* according to HAC this optimization is ok */ - if ((mp_digit)um > ((mp_digit)1 << (DIGIT_BIT - 1))) { - if ((res = mp_mul(&q, mu, &q)) != MP_OKAY) { + if ((mp_digit)um > ((mp_digit)1 << (MP_DIGIT_BIT - 1))) { + if ((err = mp_mul(&q, mu, &q)) != MP_OKAY) { goto CLEANUP; } - } else { -#ifdef BN_S_MP_MUL_HIGH_DIGS_C - if ((res = s_mp_mul_high_digs(&q, mu, &q, um)) != MP_OKAY) { + } else if (MP_HAS(S_MP_MUL_HIGH_DIGS)) { + if ((err = s_mp_mul_high_digs(&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } -#elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) - if ((res = fast_s_mp_mul_high_digs(&q, mu, &q, um)) != MP_OKAY) { + } else if (MP_HAS(S_MP_MUL_HIGH_DIGS_FAST)) { + if ((err = s_mp_mul_high_digs_fast(&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } -#else - { - res = MP_VAL; - goto CLEANUP; - } -#endif + } else { + err = MP_VAL; + goto CLEANUP; } /* q3 = q2 / b**(k+1) */ mp_rshd(&q, um + 1); /* x = x mod b**(k+1), quick (no division) */ - if ((res = mp_mod_2d(x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { + if ((err = mp_mod_2d(x, MP_DIGIT_BIT * (um + 1), x)) != MP_OKAY) { goto CLEANUP; } /* q = q * m mod b**(k+1), quick (no division) */ - if ((res = s_mp_mul_digs(&q, m, &q, um + 1)) != MP_OKAY) { + if ((err = s_mp_mul_digs(&q, m, &q, um + 1)) != MP_OKAY) { goto CLEANUP; } /* x = x - q */ - if ((res = mp_sub(x, &q, x)) != MP_OKAY) { + if ((err = mp_sub(x, &q, x)) != MP_OKAY) { goto CLEANUP; } /* If x < 0, add b**(k+1) to it */ if (mp_cmp_d(x, 0uL) == MP_LT) { mp_set(&q, 1uL); - if ((res = mp_lshd(&q, um + 1)) != MP_OKAY) + if ((err = mp_lshd(&q, um + 1)) != MP_OKAY) { goto CLEANUP; - if ((res = mp_add(x, &q, x)) != MP_OKAY) + } + if ((err = mp_add(x, &q, x)) != MP_OKAY) { goto CLEANUP; + } } /* Back off if it's too big */ while (mp_cmp(x, m) != MP_LT) { - if ((res = s_mp_sub(x, m, x)) != MP_OKAY) { + if ((err = s_mp_sub(x, m, x)) != MP_OKAY) { goto CLEANUP; } } @@ -88,10 +78,6 @@ int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) CLEANUP: mp_clear(&q); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_reduce_2k.c b/libtommath/bn_mp_reduce_2k.c index 8f36b11..1cea6cb 100644 --- a/libtommath/bn_mp_reduce_2k.c +++ b/libtommath/bn_mp_reduce_2k.c @@ -1,48 +1,40 @@ #include "tommath_private.h" #ifdef BN_MP_REDUCE_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* reduces a modulo n where n is of the form 2**p - d */ -int mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d) +mp_err mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d) { mp_int q; - int p, res; + mp_err err; + int p; - if ((res = mp_init(&q)) != MP_OKAY) { - return res; + if ((err = mp_init(&q)) != MP_OKAY) { + return err; } p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { + if ((err = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto LBL_ERR; } if (d != 1u) { /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { + if ((err = mp_mul_d(&q, d, &q)) != MP_OKAY) { goto LBL_ERR; } } /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { + if ((err = s_mp_add(a, &q, a)) != MP_OKAY) { goto LBL_ERR; } if (mp_cmp_mag(a, n) != MP_LT) { - if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + if ((err = s_mp_sub(a, n, a)) != MP_OKAY) { goto LBL_ERR; } goto top; @@ -50,11 +42,7 @@ top: LBL_ERR: mp_clear(&q); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_reduce_2k_l.c b/libtommath/bn_mp_reduce_2k_l.c index d8c6e1c..6a9f3d3 100644 --- a/libtommath/bn_mp_reduce_2k_l.c +++ b/libtommath/bn_mp_reduce_2k_l.c @@ -1,49 +1,41 @@ #include "tommath_private.h" #ifdef BN_MP_REDUCE_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* reduces a modulo n where n is of the form 2**p - d This differs from reduce_2k since "d" can be larger than a single digit. */ -int mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d) +mp_err mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d) { mp_int q; - int p, res; + mp_err err; + int p; - if ((res = mp_init(&q)) != MP_OKAY) { - return res; + if ((err = mp_init(&q)) != MP_OKAY) { + return err; } p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { + if ((err = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto LBL_ERR; } /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + if ((err = mp_mul(&q, d, &q)) != MP_OKAY) { goto LBL_ERR; } /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { + if ((err = s_mp_add(a, &q, a)) != MP_OKAY) { goto LBL_ERR; } if (mp_cmp_mag(a, n) != MP_LT) { - if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + if ((err = s_mp_sub(a, n, a)) != MP_OKAY) { goto LBL_ERR; } goto top; @@ -51,11 +43,7 @@ top: LBL_ERR: mp_clear(&q); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_reduce_2k_setup.c b/libtommath/bn_mp_reduce_2k_setup.c index df13efd..2eaf7ad 100644 --- a/libtommath/bn_mp_reduce_2k_setup.c +++ b/libtommath/bn_mp_reduce_2k_setup.c @@ -1,36 +1,28 @@ #include "tommath_private.h" #ifdef BN_MP_REDUCE_2K_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* determines the setup value */ -int mp_reduce_2k_setup(const mp_int *a, mp_digit *d) +mp_err mp_reduce_2k_setup(const mp_int *a, mp_digit *d) { - int res, p; + mp_err err; mp_int tmp; + int p; - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; + if ((err = mp_init(&tmp)) != MP_OKAY) { + return err; } p = mp_count_bits(a); - if ((res = mp_2expt(&tmp, p)) != MP_OKAY) { + if ((err = mp_2expt(&tmp, p)) != MP_OKAY) { mp_clear(&tmp); - return res; + return err; } - if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { + if ((err = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { mp_clear(&tmp); - return res; + return err; } *d = tmp.dp[0]; @@ -38,7 +30,3 @@ int mp_reduce_2k_setup(const mp_int *a, mp_digit *d) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_reduce_2k_setup_l.c b/libtommath/bn_mp_reduce_2k_setup_l.c index 5154e51..4f9aa14 100644 --- a/libtommath/bn_mp_reduce_2k_setup_l.c +++ b/libtommath/bn_mp_reduce_2k_setup_l.c @@ -1,41 +1,28 @@ #include "tommath_private.h" #ifdef BN_MP_REDUCE_2K_SETUP_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* determines the setup value */ -int mp_reduce_2k_setup_l(const mp_int *a, mp_int *d) +mp_err mp_reduce_2k_setup_l(const mp_int *a, mp_int *d) { - int res; + mp_err err; mp_int tmp; - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; + if ((err = mp_init(&tmp)) != MP_OKAY) { + return err; } - if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { + if ((err = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { goto LBL_ERR; } - if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { + if ((err = s_mp_sub(&tmp, a, d)) != MP_OKAY) { goto LBL_ERR; } LBL_ERR: mp_clear(&tmp); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_reduce_is_2k.c b/libtommath/bn_mp_reduce_is_2k.c index 6cc30fe..a9f4f9f 100644 --- a/libtommath/bn_mp_reduce_is_2k.c +++ b/libtommath/bn_mp_reduce_is_2k.c @@ -1,19 +1,10 @@ #include "tommath_private.h" #ifdef BN_MP_REDUCE_IS_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* determines if mp_reduce_2k can be used */ -int mp_reduce_is_2k(const mp_int *a) +mp_bool mp_reduce_is_2k(const mp_int *a) { int ix, iy, iw; mp_digit iz; @@ -28,22 +19,20 @@ int mp_reduce_is_2k(const mp_int *a) iw = 1; /* Test every bit from the second digit up, must be 1 */ - for (ix = DIGIT_BIT; ix < iy; ix++) { + for (ix = MP_DIGIT_BIT; ix < iy; ix++) { if ((a->dp[iw] & iz) == 0u) { return MP_NO; } iz <<= 1; - if (iz > (mp_digit)MP_MASK) { + if (iz > MP_DIGIT_MAX) { ++iw; iz = 1; } } + return MP_YES; + } else { + return MP_YES; } - return MP_YES; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_reduce_is_2k_l.c b/libtommath/bn_mp_reduce_is_2k_l.c index ad211ec..4bc69be 100644 --- a/libtommath/bn_mp_reduce_is_2k_l.c +++ b/libtommath/bn_mp_reduce_is_2k_l.c @@ -1,19 +1,10 @@ #include "tommath_private.h" #ifdef BN_MP_REDUCE_IS_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* determines if reduce_2k_l can be used */ -int mp_reduce_is_2k_l(const mp_int *a) +mp_bool mp_reduce_is_2k_l(const mp_int *a) { int ix, iy; @@ -24,18 +15,14 @@ int mp_reduce_is_2k_l(const mp_int *a) } else if (a->used > 1) { /* if more than half of the digits are -1 we're sold */ for (iy = ix = 0; ix < a->used; ix++) { - if (a->dp[ix] == MP_MASK) { + if (a->dp[ix] == MP_DIGIT_MAX) { ++iy; } } return (iy >= (a->used/2)) ? MP_YES : MP_NO; - + } else { + return MP_NO; } - return MP_NO; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_reduce_setup.c b/libtommath/bn_mp_reduce_setup.c index cd494f7..f02160f 100644 --- a/libtommath/bn_mp_reduce_setup.c +++ b/libtommath/bn_mp_reduce_setup.c @@ -1,31 +1,17 @@ #include "tommath_private.h" #ifdef BN_MP_REDUCE_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* pre-calculate the value required for Barrett reduction * For a given modulus "b" it calulates the value required in "a" */ -int mp_reduce_setup(mp_int *a, const mp_int *b) +mp_err mp_reduce_setup(mp_int *a, const mp_int *b) { - int res; - - if ((res = mp_2expt(a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) { - return res; + mp_err err; + if ((err = mp_2expt(a, b->used * 2 * MP_DIGIT_BIT)) != MP_OKAY) { + return err; } return mp_div(a, b, a, NULL); } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_root_u32.c b/libtommath/bn_mp_root_u32.c new file mode 100644 index 0000000..ba65549 --- /dev/null +++ b/libtommath/bn_mp_root_u32.c @@ -0,0 +1,139 @@ +#include "tommath_private.h" +#ifdef BN_MP_ROOT_U32_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* find the n'th root of an integer + * + * Result found such that (c)**b <= a and (c+1)**b > a + * + * This algorithm uses Newton's approximation + * x[i+1] = x[i] - f(x[i])/f'(x[i]) + * which will find the root in log(N) time where + * each step involves a fair bit. + */ +mp_err mp_root_u32(const mp_int *a, uint32_t b, mp_int *c) +{ + mp_int t1, t2, t3, a_; + mp_ord cmp; + int ilog2; + mp_err err; + + /* input must be positive if b is even */ + if (((b & 1u) == 0u) && (a->sign == MP_NEG)) { + return MP_VAL; + } + + if ((err = mp_init_multi(&t1, &t2, &t3, NULL)) != MP_OKAY) { + return err; + } + + /* if a is negative fudge the sign but keep track */ + a_ = *a; + a_.sign = MP_ZPOS; + + /* Compute seed: 2^(log_2(n)/b + 2)*/ + ilog2 = mp_count_bits(a); + + /* + If "b" is larger than INT_MAX it is also larger than + log_2(n) because the bit-length of the "n" is measured + with an int and hence the root is always < 2 (two). + */ + if (b > (uint32_t)(INT_MAX/2)) { + mp_set(c, 1uL); + c->sign = a->sign; + err = MP_OKAY; + goto LBL_ERR; + } + + /* "b" is smaller than INT_MAX, we can cast safely */ + if (ilog2 < (int)b) { + mp_set(c, 1uL); + c->sign = a->sign; + err = MP_OKAY; + goto LBL_ERR; + } + ilog2 = ilog2 / ((int)b); + if (ilog2 == 0) { + mp_set(c, 1uL); + c->sign = a->sign; + err = MP_OKAY; + goto LBL_ERR; + } + /* Start value must be larger than root */ + ilog2 += 2; + if ((err = mp_2expt(&t2,ilog2)) != MP_OKAY) goto LBL_ERR; + do { + /* t1 = t2 */ + if ((err = mp_copy(&t2, &t1)) != MP_OKAY) goto LBL_ERR; + + /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ + + /* t3 = t1**(b-1) */ + if ((err = mp_expt_u32(&t1, b - 1u, &t3)) != MP_OKAY) goto LBL_ERR; + + /* numerator */ + /* t2 = t1**b */ + if ((err = mp_mul(&t3, &t1, &t2)) != MP_OKAY) goto LBL_ERR; + + /* t2 = t1**b - a */ + if ((err = mp_sub(&t2, &a_, &t2)) != MP_OKAY) goto LBL_ERR; + + /* denominator */ + /* t3 = t1**(b-1) * b */ + if ((err = mp_mul_d(&t3, b, &t3)) != MP_OKAY) goto LBL_ERR; + + /* t3 = (t1**b - a)/(b * t1**(b-1)) */ + if ((err = mp_div(&t2, &t3, &t3, NULL)) != MP_OKAY) goto LBL_ERR; + + if ((err = mp_sub(&t1, &t3, &t2)) != MP_OKAY) goto LBL_ERR; + + /* + Number of rounds is at most log_2(root). If it is more it + got stuck, so break out of the loop and do the rest manually. + */ + if (ilog2-- == 0) { + break; + } + } while (mp_cmp(&t1, &t2) != MP_EQ); + + /* result can be off by a few so check */ + /* Loop beneath can overshoot by one if found root is smaller than actual root */ + for (;;) { + if ((err = mp_expt_u32(&t1, b, &t2)) != MP_OKAY) goto LBL_ERR; + cmp = mp_cmp(&t2, &a_); + if (cmp == MP_EQ) { + err = MP_OKAY; + goto LBL_ERR; + } + if (cmp == MP_LT) { + if ((err = mp_add_d(&t1, 1uL, &t1)) != MP_OKAY) goto LBL_ERR; + } else { + break; + } + } + /* correct overshoot from above or from recurrence */ + for (;;) { + if ((err = mp_expt_u32(&t1, b, &t2)) != MP_OKAY) goto LBL_ERR; + if (mp_cmp(&t2, &a_) == MP_GT) { + if ((err = mp_sub_d(&t1, 1uL, &t1)) != MP_OKAY) goto LBL_ERR; + } else { + break; + } + } + + /* set the result */ + mp_exch(&t1, c); + + /* set the sign of the result */ + c->sign = a->sign; + + err = MP_OKAY; + +LBL_ERR: + mp_clear_multi(&t1, &t2, &t3, NULL); + return err; +} + +#endif diff --git a/libtommath/bn_mp_rshd.c b/libtommath/bn_mp_rshd.c index 53fb424..bb8743e 100644 --- a/libtommath/bn_mp_rshd.c +++ b/libtommath/bn_mp_rshd.c @@ -1,21 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_RSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* shift right a certain amount of digits */ void mp_rshd(mp_int *a, int b) { int x; + mp_digit *bottom, *top; /* if b <= 0 then ignore it */ if (b <= 0) { @@ -28,42 +20,32 @@ void mp_rshd(mp_int *a, int b) return; } - { - mp_digit *bottom, *top; + /* shift the digits down */ - /* shift the digits down */ + /* bottom */ + bottom = a->dp; - /* bottom */ - bottom = a->dp; + /* top [offset into digits] */ + top = a->dp + b; - /* top [offset into digits] */ - top = a->dp + b; + /* this is implemented as a sliding window where + * the window is b-digits long and digits from + * the top of the window are copied to the bottom + * + * e.g. - /* this is implemented as a sliding window where - * the window is b-digits long and digits from - * the top of the window are copied to the bottom - * - * e.g. - - b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> - /\ | ----> - \-------------------/ ----> - */ - for (x = 0; x < (a->used - b); x++) { - *bottom++ = *top++; - } - - /* zero the top digits */ - for (; x < a->used; x++) { - *bottom++ = 0; - } + b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> + /\ | ----> + \-------------------/ ----> + */ + for (x = 0; x < (a->used - b); x++) { + *bottom++ = *top++; } + /* zero the top digits */ + MP_ZERO_DIGITS(bottom, a->used - x); + /* remove excess digits */ a->used -= b; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_sbin_size.c b/libtommath/bn_mp_sbin_size.c new file mode 100644 index 0000000..e0993d6 --- /dev/null +++ b/libtommath/bn_mp_sbin_size.c @@ -0,0 +1,11 @@ +#include "tommath_private.h" +#ifdef BN_MP_SBIN_SIZE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* get the size for an signed equivalent */ +size_t mp_sbin_size(const mp_int *a) +{ + return 1u + mp_ubin_size(a); +} +#endif diff --git a/libtommath/bn_mp_set.c b/libtommath/bn_mp_set.c index bbf2fd4..44ac6df 100644 --- a/libtommath/bn_mp_set.c +++ b/libtommath/bn_mp_set.c @@ -1,26 +1,14 @@ #include "tommath_private.h" #ifdef BN_MP_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* set to a digit */ void mp_set(mp_int *a, mp_digit b) { - mp_zero(a); a->dp[0] = b & MP_MASK; + a->sign = MP_ZPOS; a->used = (a->dp[0] != 0u) ? 1 : 0; + MP_ZERO_DIGITS(a->dp + a->used, a->alloc - a->used); } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_set_i32.c b/libtommath/bn_mp_set_i32.c new file mode 100644 index 0000000..df4513d --- /dev/null +++ b/libtommath/bn_mp_set_i32.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_SET_I32_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_SET_SIGNED(mp_set_i32, mp_set_u32, int32_t, uint32_t) +#endif diff --git a/libtommath/bn_mp_set_i64.c b/libtommath/bn_mp_set_i64.c new file mode 100644 index 0000000..395103b --- /dev/null +++ b/libtommath/bn_mp_set_i64.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_SET_I64_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_SET_SIGNED(mp_set_i64, mp_set_u64, int64_t, uint64_t) +#endif diff --git a/libtommath/bn_mp_set_int.c b/libtommath/bn_mp_set_int.c deleted file mode 100644 index 460a4f7..0000000 --- a/libtommath/bn_mp_set_int.c +++ /dev/null @@ -1,45 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* set a 32-bit const */ -int mp_set_int(mp_int *a, unsigned long b) -{ - int x, res; - - mp_zero(a); - - /* set four bits at a time */ - for (x = 0; x < 8; x++) { - /* shift the number up four bits */ - if ((res = mp_mul_2d(a, 4, a)) != MP_OKAY) { - return res; - } - - /* OR in the top four bits of the source */ - a->dp[0] |= (mp_digit)(b >> 28) & 15uL; - - /* shift the source up to the next four bits */ - b <<= 4; - - /* ensure that digits are not clamped off */ - a->used += 1; - } - mp_clamp(a); - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_set_l.c b/libtommath/bn_mp_set_l.c new file mode 100644 index 0000000..1e445fb --- /dev/null +++ b/libtommath/bn_mp_set_l.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_SET_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_SET_SIGNED(mp_set_l, mp_set_ul, long, unsigned long) +#endif diff --git a/libtommath/bn_mp_set_ll.c b/libtommath/bn_mp_set_ll.c new file mode 100644 index 0000000..3e2324f --- /dev/null +++ b/libtommath/bn_mp_set_ll.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_SET_LL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_SET_SIGNED(mp_set_ll, mp_set_ull, long long, unsigned long long) +#endif diff --git a/libtommath/bn_mp_set_long.c b/libtommath/bn_mp_set_long.c deleted file mode 100644 index 953606c..0000000 --- a/libtommath/bn_mp_set_long.c +++ /dev/null @@ -1,21 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_SET_LONG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* set a platform dependent unsigned long int */ -MP_SET_XLONG(mp_set_long, unsigned long) -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_set_long_long.c b/libtommath/bn_mp_set_long_long.c deleted file mode 100644 index 3134a1a..0000000 --- a/libtommath/bn_mp_set_long_long.c +++ /dev/null @@ -1,21 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_SET_LONG_LONG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* set a platform dependent unsigned long long int */ -MP_SET_XLONG(mp_set_long_long, unsigned long long) -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_set_u32.c b/libtommath/bn_mp_set_u32.c new file mode 100644 index 0000000..18ba5e1 --- /dev/null +++ b/libtommath/bn_mp_set_u32.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_SET_U32_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_SET_UNSIGNED(mp_set_u32, uint32_t) +#endif diff --git a/libtommath/bn_mp_set_u64.c b/libtommath/bn_mp_set_u64.c new file mode 100644 index 0000000..88fab6c --- /dev/null +++ b/libtommath/bn_mp_set_u64.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_SET_U64_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_SET_UNSIGNED(mp_set_u64, uint64_t) +#endif diff --git a/libtommath/bn_mp_set_ul.c b/libtommath/bn_mp_set_ul.c new file mode 100644 index 0000000..adfd85c --- /dev/null +++ b/libtommath/bn_mp_set_ul.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_SET_UL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_SET_UNSIGNED(mp_set_ul, unsigned long) +#endif diff --git a/libtommath/bn_mp_set_ull.c b/libtommath/bn_mp_set_ull.c new file mode 100644 index 0000000..8fbc1bd --- /dev/null +++ b/libtommath/bn_mp_set_ull.c @@ -0,0 +1,7 @@ +#include "tommath_private.h" +#ifdef BN_MP_SET_ULL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +MP_SET_UNSIGNED(mp_set_ull, unsigned long long) +#endif diff --git a/libtommath/bn_mp_shrink.c b/libtommath/bn_mp_shrink.c index f30c170..cf27ed9 100644 --- a/libtommath/bn_mp_shrink.c +++ b/libtommath/bn_mp_shrink.c @@ -1,38 +1,22 @@ #include "tommath_private.h" #ifdef BN_MP_SHRINK_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* shrink a bignum */ -int mp_shrink(mp_int *a) +mp_err mp_shrink(mp_int *a) { mp_digit *tmp; - int used = 1; - - if (a->used > 0) { - used = a->used; - } - - if (a->alloc != used) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC(a->dp, sizeof(mp_digit) * (size_t)used)) == NULL) { + int alloc = MP_MAX(MP_MIN_PREC, a->used); + if (a->alloc != alloc) { + if ((tmp = (mp_digit *) MP_REALLOC(a->dp, + (size_t)a->alloc * sizeof(mp_digit), + (size_t)alloc * sizeof(mp_digit))) == NULL) { return MP_MEM; } a->dp = tmp; - a->alloc = used; + a->alloc = alloc; } return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_signed_bin_size.c b/libtommath/bn_mp_signed_bin_size.c deleted file mode 100644 index a367d9e..0000000 --- a/libtommath/bn_mp_signed_bin_size.c +++ /dev/null @@ -1,24 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_SIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* get the size for an signed equivalent */ -int mp_signed_bin_size(const mp_int *a) -{ - return 1 + mp_unsigned_bin_size(a); -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_signed_rsh.c b/libtommath/bn_mp_signed_rsh.c new file mode 100644 index 0000000..8d8d841 --- /dev/null +++ b/libtommath/bn_mp_signed_rsh.c @@ -0,0 +1,22 @@ +#include "tommath_private.h" +#ifdef BN_MP_SIGNED_RSH_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* shift right by a certain bit count with sign extension */ +mp_err mp_signed_rsh(const mp_int *a, int b, mp_int *c) +{ + mp_err res; + if (a->sign == MP_ZPOS) { + return mp_div_2d(a, b, c, NULL); + } + + res = mp_add_d(a, 1uL, c); + if (res != MP_OKAY) { + return res; + } + + res = mp_div_2d(c, b, c, NULL); + return (res == MP_OKAY) ? mp_sub_d(c, 1uL, c) : res; +} +#endif diff --git a/libtommath/bn_mp_sqr.c b/libtommath/bn_mp_sqr.c index f7801de..e0d0a73 100644 --- a/libtommath/bn_mp_sqr.c +++ b/libtommath/bn_mp_sqr.c @@ -1,56 +1,28 @@ #include "tommath_private.h" #ifdef BN_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* computes b = a*a */ -int mp_sqr(const mp_int *a, mp_int *b) +mp_err mp_sqr(const mp_int *a, mp_int *b) { - int res; - -#ifdef BN_MP_TOOM_SQR_C - /* use Toom-Cook? */ - if (a->used >= TOOM_SQR_CUTOFF) { - res = mp_toom_sqr(a, b); - /* Karatsuba? */ - } else -#endif -#ifdef BN_MP_KARATSUBA_SQR_C - if (a->used >= KARATSUBA_SQR_CUTOFF) { - res = mp_karatsuba_sqr(a, b); - } else -#endif - { -#ifdef BN_FAST_S_MP_SQR_C - /* can we use the fast comba multiplier? */ - if ((((a->used * 2) + 1) < (int)MP_WARRAY) && - (a->used < - (int)(1u << (((sizeof(mp_word) * (size_t)CHAR_BIT) - (2u * (size_t)DIGIT_BIT)) - 1u)))) { - res = fast_s_mp_sqr(a, b); - } else -#endif - { -#ifdef BN_S_MP_SQR_C - res = s_mp_sqr(a, b); -#else - res = MP_VAL; -#endif - } - } + mp_err err; + if (MP_HAS(S_MP_TOOM_SQR) && /* use Toom-Cook? */ + (a->used >= MP_TOOM_SQR_CUTOFF)) { + err = s_mp_toom_sqr(a, b); + } else if (MP_HAS(S_MP_KARATSUBA_SQR) && /* Karatsuba? */ + (a->used >= MP_KARATSUBA_SQR_CUTOFF)) { + err = s_mp_karatsuba_sqr(a, b); + } else if (MP_HAS(S_MP_SQR_FAST) && /* can we use the fast comba multiplier? */ + (((a->used * 2) + 1) < MP_WARRAY) && + (a->used < (MP_MAXFAST / 2))) { + err = s_mp_sqr_fast(a, b); + } else if (MP_HAS(S_MP_SQR)) { + err = s_mp_sqr(a, b); + } else { + err = MP_VAL; + } b->sign = MP_ZPOS; - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_sqrmod.c b/libtommath/bn_mp_sqrmod.c index 519a2c3..626ea2c 100644 --- a/libtommath/bn_mp_sqrmod.c +++ b/libtommath/bn_mp_sqrmod.c @@ -1,37 +1,25 @@ #include "tommath_private.h" #ifdef BN_MP_SQRMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* c = a * a (mod b) */ -int mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c) +mp_err mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c) { - int res; + mp_err err; mp_int t; - if ((res = mp_init(&t)) != MP_OKAY) { - return res; + if ((err = mp_init(&t)) != MP_OKAY) { + return err; } - if ((res = mp_sqr(a, &t)) != MP_OKAY) { - mp_clear(&t); - return res; + if ((err = mp_sqr(a, &t)) != MP_OKAY) { + goto LBL_ERR; } - res = mp_mod(&t, b, c); + err = mp_mod(&t, b, c); + +LBL_ERR: mp_clear(&t); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c index 77a01a0..82d6824 100644 --- a/libtommath/bn_mp_sqrt.c +++ b/libtommath/bn_mp_sqrt.c @@ -1,21 +1,12 @@ #include "tommath_private.h" #ifdef BN_MP_SQRT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* this function is less generic than mp_n_root, simpler and faster */ -int mp_sqrt(const mp_int *arg, mp_int *ret) +mp_err mp_sqrt(const mp_int *arg, mp_int *ret) { - int res; + mp_err err; mp_int t1, t2; /* must be positive */ @@ -24,16 +15,16 @@ int mp_sqrt(const mp_int *arg, mp_int *ret) } /* easy out */ - if (mp_iszero(arg) == MP_YES) { + if (MP_IS_ZERO(arg)) { mp_zero(ret); return MP_OKAY; } - if ((res = mp_init_copy(&t1, arg)) != MP_OKAY) { - return res; + if ((err = mp_init_copy(&t1, arg)) != MP_OKAY) { + return err; } - if ((res = mp_init(&t2)) != MP_OKAY) { + if ((err = mp_init(&t2)) != MP_OKAY) { goto E2; } @@ -41,24 +32,24 @@ int mp_sqrt(const mp_int *arg, mp_int *ret) mp_rshd(&t1, t1.used/2); /* t1 > 0 */ - if ((res = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) { + if ((err = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) { goto E1; } - if ((res = mp_add(&t1, &t2, &t1)) != MP_OKAY) { + if ((err = mp_add(&t1, &t2, &t1)) != MP_OKAY) { goto E1; } - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) { + if ((err = mp_div_2(&t1, &t1)) != MP_OKAY) { goto E1; } /* And now t1 > sqrt(arg) */ do { - if ((res = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) { + if ((err = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) { goto E1; } - if ((res = mp_add(&t1, &t2, &t1)) != MP_OKAY) { + if ((err = mp_add(&t1, &t2, &t1)) != MP_OKAY) { goto E1; } - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) { + if ((err = mp_div_2(&t1, &t1)) != MP_OKAY) { goto E1; } /* t1 >= sqrt(arg) >= t2 at this point */ @@ -70,11 +61,7 @@ E1: mp_clear(&t2); E2: mp_clear(&t1); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_sqrtmod_prime.c b/libtommath/bn_mp_sqrtmod_prime.c index 331ebd2..a833ed7 100644 --- a/libtommath/bn_mp_sqrtmod_prime.c +++ b/libtommath/bn_mp_sqrtmod_prime.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_MP_SQRTMOD_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* Tonelli-Shanks algorithm * https://en.wikipedia.org/wiki/Tonelli%E2%80%93Shanks_algorithm @@ -18,9 +9,10 @@ * */ -int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) +mp_err mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) { - int res, legendre; + mp_err err; + int legendre; mp_int t1, C, Q, S, Z, M, T, R, two; mp_digit i; @@ -30,90 +22,89 @@ int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) return MP_OKAY; } if (mp_cmp_d(prime, 2uL) == MP_EQ) return MP_VAL; /* prime must be odd */ - if ((res = mp_jacobi(n, prime, &legendre)) != MP_OKAY) return res; + if ((err = mp_kronecker(n, prime, &legendre)) != MP_OKAY) return err; if (legendre == -1) return MP_VAL; /* quadratic non-residue mod prime */ - if ((res = mp_init_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL)) != MP_OKAY) { - return res; + if ((err = mp_init_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL)) != MP_OKAY) { + return err; } /* SPECIAL CASE: if prime mod 4 == 3 - * compute directly: res = n^(prime+1)/4 mod prime + * compute directly: err = n^(prime+1)/4 mod prime * Handbook of Applied Cryptography algorithm 3.36 */ - if ((res = mp_mod_d(prime, 4uL, &i)) != MP_OKAY) goto cleanup; + if ((err = mp_mod_d(prime, 4uL, &i)) != MP_OKAY) goto cleanup; if (i == 3u) { - if ((res = mp_add_d(prime, 1uL, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_exptmod(n, &t1, prime, ret)) != MP_OKAY) goto cleanup; - res = MP_OKAY; + if ((err = mp_add_d(prime, 1uL, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_exptmod(n, &t1, prime, ret)) != MP_OKAY) goto cleanup; + err = MP_OKAY; goto cleanup; } /* NOW: Tonelli-Shanks algorithm */ /* factor out powers of 2 from prime-1, defining Q and S as: prime-1 = Q*2^S */ - if ((res = mp_copy(prime, &Q)) != MP_OKAY) goto cleanup; - if ((res = mp_sub_d(&Q, 1uL, &Q)) != MP_OKAY) goto cleanup; + if ((err = mp_copy(prime, &Q)) != MP_OKAY) goto cleanup; + if ((err = mp_sub_d(&Q, 1uL, &Q)) != MP_OKAY) goto cleanup; /* Q = prime - 1 */ mp_zero(&S); /* S = 0 */ - while (mp_iseven(&Q) != MP_NO) { - if ((res = mp_div_2(&Q, &Q)) != MP_OKAY) goto cleanup; + while (MP_IS_EVEN(&Q)) { + if ((err = mp_div_2(&Q, &Q)) != MP_OKAY) goto cleanup; /* Q = Q / 2 */ - if ((res = mp_add_d(&S, 1uL, &S)) != MP_OKAY) goto cleanup; + if ((err = mp_add_d(&S, 1uL, &S)) != MP_OKAY) goto cleanup; /* S = S + 1 */ } /* find a Z such that the Legendre symbol (Z|prime) == -1 */ - if ((res = mp_set_int(&Z, 2uL)) != MP_OKAY) goto cleanup; + mp_set_u32(&Z, 2u); /* Z = 2 */ - while (1) { - if ((res = mp_jacobi(&Z, prime, &legendre)) != MP_OKAY) goto cleanup; + for (;;) { + if ((err = mp_kronecker(&Z, prime, &legendre)) != MP_OKAY) goto cleanup; if (legendre == -1) break; - if ((res = mp_add_d(&Z, 1uL, &Z)) != MP_OKAY) goto cleanup; + if ((err = mp_add_d(&Z, 1uL, &Z)) != MP_OKAY) goto cleanup; /* Z = Z + 1 */ } - if ((res = mp_exptmod(&Z, &Q, prime, &C)) != MP_OKAY) goto cleanup; + if ((err = mp_exptmod(&Z, &Q, prime, &C)) != MP_OKAY) goto cleanup; /* C = Z ^ Q mod prime */ - if ((res = mp_add_d(&Q, 1uL, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_add_d(&Q, 1uL, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; /* t1 = (Q + 1) / 2 */ - if ((res = mp_exptmod(n, &t1, prime, &R)) != MP_OKAY) goto cleanup; + if ((err = mp_exptmod(n, &t1, prime, &R)) != MP_OKAY) goto cleanup; /* R = n ^ ((Q + 1) / 2) mod prime */ - if ((res = mp_exptmod(n, &Q, prime, &T)) != MP_OKAY) goto cleanup; + if ((err = mp_exptmod(n, &Q, prime, &T)) != MP_OKAY) goto cleanup; /* T = n ^ Q mod prime */ - if ((res = mp_copy(&S, &M)) != MP_OKAY) goto cleanup; + if ((err = mp_copy(&S, &M)) != MP_OKAY) goto cleanup; /* M = S */ - if ((res = mp_set_int(&two, 2uL)) != MP_OKAY) goto cleanup; + mp_set_u32(&two, 2u); - res = MP_VAL; - while (1) { - if ((res = mp_copy(&T, &t1)) != MP_OKAY) goto cleanup; + for (;;) { + if ((err = mp_copy(&T, &t1)) != MP_OKAY) goto cleanup; i = 0; - while (1) { + for (;;) { if (mp_cmp_d(&t1, 1uL) == MP_EQ) break; - if ((res = mp_exptmod(&t1, &two, prime, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_exptmod(&t1, &two, prime, &t1)) != MP_OKAY) goto cleanup; i++; } if (i == 0u) { - if ((res = mp_copy(&R, ret)) != MP_OKAY) goto cleanup; - res = MP_OKAY; + if ((err = mp_copy(&R, ret)) != MP_OKAY) goto cleanup; + err = MP_OKAY; goto cleanup; } - if ((res = mp_sub_d(&M, i, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_sub_d(&t1, 1uL, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_exptmod(&two, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_sub_d(&M, i, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_sub_d(&t1, 1uL, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_exptmod(&two, &t1, prime, &t1)) != MP_OKAY) goto cleanup; /* t1 = 2 ^ (M - i - 1) */ - if ((res = mp_exptmod(&C, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + if ((err = mp_exptmod(&C, &t1, prime, &t1)) != MP_OKAY) goto cleanup; /* t1 = C ^ (2 ^ (M - i - 1)) mod prime */ - if ((res = mp_sqrmod(&t1, prime, &C)) != MP_OKAY) goto cleanup; + if ((err = mp_sqrmod(&t1, prime, &C)) != MP_OKAY) goto cleanup; /* C = (t1 * t1) mod prime */ - if ((res = mp_mulmod(&R, &t1, prime, &R)) != MP_OKAY) goto cleanup; + if ((err = mp_mulmod(&R, &t1, prime, &R)) != MP_OKAY) goto cleanup; /* R = (R * t1) mod prime */ - if ((res = mp_mulmod(&T, &C, prime, &T)) != MP_OKAY) goto cleanup; + if ((err = mp_mulmod(&T, &C, prime, &T)) != MP_OKAY) goto cleanup; /* T = (T * C) mod prime */ mp_set(&M, i); /* M = i */ @@ -121,11 +112,7 @@ int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) cleanup: mp_clear_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_sub.c b/libtommath/bn_mp_sub.c index 51b998d..c1ea39e 100644 --- a/libtommath/bn_mp_sub.c +++ b/libtommath/bn_mp_sub.c @@ -1,24 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* high level subtraction (handles signs) */ -int mp_sub(const mp_int *a, const mp_int *b, mp_int *c) +mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c) { - int sa, sb, res; - - sa = a->sign; - sb = b->sign; + mp_sign sa = a->sign, sb = b->sign; + mp_err err; if (sa != sb) { /* subtract a negative from a positive, OR */ @@ -26,7 +15,7 @@ int mp_sub(const mp_int *a, const mp_int *b, mp_int *c) /* In either case, ADD their magnitudes, */ /* and use the sign of the first number. */ c->sign = sa; - res = s_mp_add(a, b, c); + err = s_mp_add(a, b, c); } else { /* subtract a positive from a positive, OR */ /* subtract a negative from a negative. */ @@ -36,20 +25,16 @@ int mp_sub(const mp_int *a, const mp_int *b, mp_int *c) /* Copy the sign from the first */ c->sign = sa; /* The first has a larger or equal magnitude */ - res = s_mp_sub(a, b, c); + err = s_mp_sub(a, b, c); } else { /* The result has the *opposite* sign from */ /* the first number. */ c->sign = (sa == MP_ZPOS) ? MP_NEG : MP_ZPOS; /* The second has a larger magnitude */ - res = s_mp_sub(b, a, c); + err = s_mp_sub(b, a, c); } } - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_sub_d.c b/libtommath/bn_mp_sub_d.c index 1f9856d..3ebf9b4 100644 --- a/libtommath/bn_mp_sub_d.c +++ b/libtommath/bn_mp_sub_d.c @@ -1,27 +1,19 @@ #include "tommath_private.h" #ifdef BN_MP_SUB_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* single digit subtraction */ -int mp_sub_d(const mp_int *a, mp_digit b, mp_int *c) +mp_err mp_sub_d(const mp_int *a, mp_digit b, mp_int *c) { - mp_digit *tmpa, *tmpc, mu; - int res, ix, oldused; + mp_digit *tmpa, *tmpc; + mp_err err; + int ix, oldused; /* grow c as required */ if (c->alloc < (a->used + 1)) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; + if ((err = mp_grow(c, a->used + 1)) != MP_OKAY) { + return err; } } @@ -31,13 +23,13 @@ int mp_sub_d(const mp_int *a, mp_digit b, mp_int *c) if (a->sign == MP_NEG) { mp_int a_ = *a; a_.sign = MP_ZPOS; - res = mp_add_d(&a_, b, c); + err = mp_add_d(&a_, b, c); c->sign = MP_NEG; /* clamp */ mp_clamp(c); - return res; + return err; } /* setup regs */ @@ -58,33 +50,25 @@ int mp_sub_d(const mp_int *a, mp_digit b, mp_int *c) c->sign = MP_NEG; c->used = 1; } else { + mp_digit mu = b; + /* positive/size */ c->sign = MP_ZPOS; c->used = a->used; - /* subtract first digit */ - *tmpc = *tmpa++ - b; - mu = *tmpc >> ((sizeof(mp_digit) * (size_t)CHAR_BIT) - 1u); - *tmpc++ &= MP_MASK; - - /* handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { + /* subtract digits, mu is carry */ + for (ix = 0; ix < a->used; ix++) { *tmpc = *tmpa++ - mu; - mu = *tmpc >> ((sizeof(mp_digit) * (size_t)CHAR_BIT) - 1u); + mu = *tmpc >> (MP_SIZEOF_BITS(mp_digit) - 1u); *tmpc++ &= MP_MASK; } } /* zero excess digits */ - while (ix++ < oldused) { - *tmpc++ = 0; - } + MP_ZERO_DIGITS(tmpc, oldused - ix); + mp_clamp(c); return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_submod.c b/libtommath/bn_mp_submod.c index 9f95dfe..5ebd374 100644 --- a/libtommath/bn_mp_submod.c +++ b/libtommath/bn_mp_submod.c @@ -1,38 +1,25 @@ #include "tommath_private.h" #ifdef BN_MP_SUBMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* d = a - b (mod c) */ -int mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) +mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) { - int res; - mp_int t; + mp_err err; + mp_int t; - - if ((res = mp_init(&t)) != MP_OKAY) { - return res; + if ((err = mp_init(&t)) != MP_OKAY) { + return err; } - if ((res = mp_sub(a, b, &t)) != MP_OKAY) { - mp_clear(&t); - return res; + if ((err = mp_sub(a, b, &t)) != MP_OKAY) { + goto LBL_ERR; } - res = mp_mod(&t, c, d); + err = mp_mod(&t, c, d); + +LBL_ERR: mp_clear(&t); - return res; + return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_tc_and.c b/libtommath/bn_mp_tc_and.c deleted file mode 100644 index 6b59023..0000000 --- a/libtommath/bn_mp_tc_and.c +++ /dev/null @@ -1,90 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TC_AND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* two complement and */ -int mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c) -{ - int res = MP_OKAY, bits, abits, bbits; - int as = mp_isneg(a), bs = mp_isneg(b); - mp_int *mx = NULL, _mx, acpy, bcpy; - - if ((as != MP_NO) || (bs != MP_NO)) { - abits = mp_count_bits(a); - bbits = mp_count_bits(b); - bits = MAX(abits, bbits); - res = mp_init_set_int(&_mx, 1uL); - if (res != MP_OKAY) { - goto end; - } - - mx = &_mx; - res = mp_mul_2d(mx, bits + 1, mx); - if (res != MP_OKAY) { - goto end; - } - - if (as != MP_NO) { - res = mp_init(&acpy); - if (res != MP_OKAY) { - goto end; - } - - res = mp_add(mx, a, &acpy); - if (res != MP_OKAY) { - mp_clear(&acpy); - goto end; - } - a = &acpy; - } - if (bs != MP_NO) { - res = mp_init(&bcpy); - if (res != MP_OKAY) { - goto end; - } - - res = mp_add(mx, b, &bcpy); - if (res != MP_OKAY) { - mp_clear(&bcpy); - goto end; - } - b = &bcpy; - } - } - - res = mp_and(a, b, c); - - if ((as != MP_NO) && (bs != MP_NO) && (res == MP_OKAY)) { - res = mp_sub(c, mx, c); - } - -end: - if (a == &acpy) { - mp_clear(&acpy); - } - - if (b == &bcpy) { - mp_clear(&bcpy); - } - - if (mx == &_mx) { - mp_clear(mx); - } - - return res; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_tc_div_2d.c b/libtommath/bn_mp_tc_div_2d.c deleted file mode 100644 index 7e6136c..0000000 --- a/libtommath/bn_mp_tc_div_2d.c +++ /dev/null @@ -1,35 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TC_DIV_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* two complement right shift */ -int mp_tc_div_2d(const mp_int *a, int b, mp_int *c) -{ - int res; - if (mp_isneg(a) == MP_NO) { - return mp_div_2d(a, b, c, NULL); - } - - res = mp_add_d(a, 1uL, c); - if (res != MP_OKAY) { - return res; - } - - res = mp_div_2d(c, b, c, NULL); - return (res == MP_OKAY) ? mp_sub_d(c, 1uL, c) : res; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_tc_or.c b/libtommath/bn_mp_tc_or.c deleted file mode 100644 index ae3c125..0000000 --- a/libtommath/bn_mp_tc_or.c +++ /dev/null @@ -1,90 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TC_OR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* two complement or */ -int mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c) -{ - int res = MP_OKAY, bits, abits, bbits; - int as = mp_isneg(a), bs = mp_isneg(b); - mp_int *mx = NULL, _mx, acpy, bcpy; - - if ((as != MP_NO) || (bs != MP_NO)) { - abits = mp_count_bits(a); - bbits = mp_count_bits(b); - bits = MAX(abits, bbits); - res = mp_init_set_int(&_mx, 1uL); - if (res != MP_OKAY) { - goto end; - } - - mx = &_mx; - res = mp_mul_2d(mx, bits + 1, mx); - if (res != MP_OKAY) { - goto end; - } - - if (as != MP_NO) { - res = mp_init(&acpy); - if (res != MP_OKAY) { - goto end; - } - - res = mp_add(mx, a, &acpy); - if (res != MP_OKAY) { - mp_clear(&acpy); - goto end; - } - a = &acpy; - } - if (bs != MP_NO) { - res = mp_init(&bcpy); - if (res != MP_OKAY) { - goto end; - } - - res = mp_add(mx, b, &bcpy); - if (res != MP_OKAY) { - mp_clear(&bcpy); - goto end; - } - b = &bcpy; - } - } - - res = mp_or(a, b, c); - - if (((as != MP_NO) || (bs != MP_NO)) && (res == MP_OKAY)) { - res = mp_sub(c, mx, c); - } - -end: - if (a == &acpy) { - mp_clear(&acpy); - } - - if (b == &bcpy) { - mp_clear(&bcpy); - } - - if (mx == &_mx) { - mp_clear(mx); - } - - return res; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_tc_xor.c b/libtommath/bn_mp_tc_xor.c deleted file mode 100644 index d3df03b..0000000 --- a/libtommath/bn_mp_tc_xor.c +++ /dev/null @@ -1,90 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TC_XOR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* two complement xor */ -int mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c) -{ - int res = MP_OKAY, bits, abits, bbits; - int as = mp_isneg(a), bs = mp_isneg(b); - mp_int *mx = NULL, _mx, acpy, bcpy; - - if ((as != MP_NO) || (bs != MP_NO)) { - abits = mp_count_bits(a); - bbits = mp_count_bits(b); - bits = MAX(abits, bbits); - res = mp_init_set_int(&_mx, 1uL); - if (res != MP_OKAY) { - goto end; - } - - mx = &_mx; - res = mp_mul_2d(mx, bits + 1, mx); - if (res != MP_OKAY) { - goto end; - } - - if (as != MP_NO) { - res = mp_init(&acpy); - if (res != MP_OKAY) { - goto end; - } - - res = mp_add(mx, a, &acpy); - if (res != MP_OKAY) { - mp_clear(&acpy); - goto end; - } - a = &acpy; - } - if (bs != MP_NO) { - res = mp_init(&bcpy); - if (res != MP_OKAY) { - goto end; - } - - res = mp_add(mx, b, &bcpy); - if (res != MP_OKAY) { - mp_clear(&bcpy); - goto end; - } - b = &bcpy; - } - } - - res = mp_xor(a, b, c); - - if ((as != bs) && (res == MP_OKAY)) { - res = mp_sub(c, mx, c); - } - -end: - if (a == &acpy) { - mp_clear(&acpy); - } - - if (b == &bcpy) { - mp_clear(&bcpy); - } - - if (mx == &_mx) { - mp_clear(mx); - } - - return res; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_to_radix.c b/libtommath/bn_mp_to_radix.c new file mode 100644 index 0000000..7fa86ca --- /dev/null +++ b/libtommath/bn_mp_to_radix.c @@ -0,0 +1,84 @@ +#include "tommath_private.h" +#ifdef BN_MP_TO_RADIX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* stores a bignum as a ASCII string in a given radix (2..64) + * + * Stores upto "size - 1" chars and always a NULL byte, puts the number of characters + * written, including the '\0', in "written". + */ +mp_err mp_to_radix(const mp_int *a, char *str, size_t maxlen, size_t *written, int radix) +{ + size_t digs; + mp_err err; + mp_int t; + mp_digit d; + char *_s = str; + + /* check range of radix and size*/ + if (maxlen < 2u) { + return MP_BUF; + } + if ((radix < 2) || (radix > 64)) { + return MP_VAL; + } + + /* quick out if its zero */ + if (MP_IS_ZERO(a)) { + *str++ = '0'; + *str = '\0'; + if (written != NULL) { + *written = 2u; + } + return MP_OKAY; + } + + if ((err = mp_init_copy(&t, a)) != MP_OKAY) { + return err; + } + + /* if it is negative output a - */ + if (t.sign == MP_NEG) { + /* we have to reverse our digits later... but not the - sign!! */ + ++_s; + + /* store the flag and mark the number as positive */ + *str++ = '-'; + t.sign = MP_ZPOS; + + /* subtract a char */ + --maxlen; + } + digs = 0u; + while (!MP_IS_ZERO(&t)) { + if (--maxlen < 1u) { + /* no more room */ + err = MP_BUF; + goto LBL_ERR; + } + if ((err = mp_div_d(&t, (mp_digit)radix, &t, &d)) != MP_OKAY) { + goto LBL_ERR; + } + *str++ = mp_s_rmap[d]; + ++digs; + } + /* reverse the digits of the string. In this case _s points + * to the first digit [exluding the sign] of the number + */ + s_mp_reverse((unsigned char *)_s, digs); + + /* append a NULL so the string is properly terminated */ + *str = '\0'; + digs++; + + if (written != NULL) { + *written = (a->sign == MP_NEG) ? (digs + 1u): digs; + } + +LBL_ERR: + mp_clear(&t); + return err; +} + +#endif diff --git a/libtommath/bn_mp_to_sbin.c b/libtommath/bn_mp_to_sbin.c new file mode 100644 index 0000000..dbaf53e --- /dev/null +++ b/libtommath/bn_mp_to_sbin.c @@ -0,0 +1,22 @@ +#include "tommath_private.h" +#ifdef BN_MP_TO_SBIN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* store in signed [big endian] format */ +mp_err mp_to_sbin(const mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) +{ + mp_err err; + if (maxlen == 0u) { + return MP_BUF; + } + if ((err = mp_to_ubin(a, buf + 1, maxlen - 1u, written)) != MP_OKAY) { + return err; + } + if (written != NULL) { + (*written)++; + } + buf[0] = (a->sign == MP_ZPOS) ? (unsigned char)0 : (unsigned char)1; + return MP_OKAY; +} +#endif diff --git a/libtommath/bn_mp_to_signed_bin.c b/libtommath/bn_mp_to_signed_bin.c deleted file mode 100644 index aab7c4a..0000000 --- a/libtommath/bn_mp_to_signed_bin.c +++ /dev/null @@ -1,30 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TO_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin(const mp_int *a, unsigned char *b) -{ - int res; - - if ((res = mp_to_unsigned_bin(a, b + 1)) != MP_OKAY) { - return res; - } - b[0] = (a->sign == MP_ZPOS) ? (unsigned char)0 : (unsigned char)1; - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_to_signed_bin_n.c b/libtommath/bn_mp_to_signed_bin_n.c deleted file mode 100644 index 3203ca0..0000000 --- a/libtommath/bn_mp_to_signed_bin_n.c +++ /dev/null @@ -1,28 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TO_SIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_signed_bin_size(a)) { - return MP_VAL; - } - *outlen = (unsigned long)mp_signed_bin_size(a); - return mp_to_signed_bin(a, b); -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_to_ubin.c b/libtommath/bn_mp_to_ubin.c new file mode 100644 index 0000000..1681ca7 --- /dev/null +++ b/libtommath/bn_mp_to_ubin.c @@ -0,0 +1,41 @@ +#include "tommath_private.h" +#ifdef BN_MP_TO_UBIN_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* store in unsigned [big endian] format */ +mp_err mp_to_ubin(const mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) +{ + size_t x, count; + mp_err err; + mp_int t; + + count = mp_ubin_size(a); + if (count > maxlen) { + return MP_BUF; + } + + if ((err = mp_init_copy(&t, a)) != MP_OKAY) { + return err; + } + + for (x = count; x --> 0u;) { +#ifndef MP_8BIT + buf[x] = (unsigned char)(t.dp[0] & 255u); +#else + buf[x] = (unsigned char)(t.dp[0] | ((t.dp[1] & 1u) << 7)); +#endif + if ((err = mp_div_2d(&t, 8, &t, NULL)) != MP_OKAY) { + goto LBL_ERR; + } + } + + if (written != NULL) { + *written = count; + } + +LBL_ERR: + mp_clear(&t); + return err; +} +#endif diff --git a/libtommath/bn_mp_to_unsigned_bin.c b/libtommath/bn_mp_to_unsigned_bin.c deleted file mode 100644 index 377b2f5..0000000 --- a/libtommath/bn_mp_to_unsigned_bin.c +++ /dev/null @@ -1,45 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TO_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin(const mp_int *a, unsigned char *b) -{ - int x, res; - mp_int t; - - if ((res = mp_init_copy(&t, a)) != MP_OKAY) { - return res; - } - - x = 0; - while (mp_iszero(&t) == MP_NO) { -#ifndef MP_8BIT - b[x++] = (unsigned char)(t.dp[0] & 255u); -#else - b[x++] = (unsigned char)(t.dp[0] | ((t.dp[1] & 1u) << 7)); -#endif - if ((res = mp_div_2d(&t, 8, &t, NULL)) != MP_OKAY) { - mp_clear(&t); - return res; - } - } - bn_reverse(b, x); - mp_clear(&t); - return MP_OKAY; -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_to_unsigned_bin_n.c b/libtommath/bn_mp_to_unsigned_bin_n.c deleted file mode 100644 index acaf436..0000000 --- a/libtommath/bn_mp_to_unsigned_bin_n.c +++ /dev/null @@ -1,28 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TO_UNSIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { - return MP_VAL; - } - *outlen = (unsigned long)mp_unsigned_bin_size(a); - return mp_to_unsigned_bin(a, b); -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c deleted file mode 100644 index cd1ed59..0000000 --- a/libtommath/bn_mp_toom_mul.c +++ /dev/null @@ -1,283 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TOOM_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* multiplication using the Toom-Cook 3-way algorithm - * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs - * (we're talking 1000s of digits here...). -*/ -int mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c) -{ - mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = MIN(a->used, b->used) / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto LBL_ERR; - } - mp_rshd(&a1, B); - if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto LBL_ERR; - } - mp_rshd(&a2, B*2); - - /* b = b2 * B**2 + b1 * B + b0 */ - if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_copy(b, &b1)) != MP_OKAY) { - goto LBL_ERR; - } - mp_rshd(&b1, B); - (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1); - - if ((res = mp_copy(b, &b2)) != MP_OKAY) { - goto LBL_ERR; - } - mp_rshd(&b2, B*2); - - /* w0 = a0*b0 */ - if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { - goto LBL_ERR; - } - - /* w4 = a2 * b2 */ - if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { - goto LBL_ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - - - /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3uL, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto LBL_ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto LBL_ERR; - } - -LBL_ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_toom_sqr.c b/libtommath/bn_mp_toom_sqr.c deleted file mode 100644 index 70d88b4..0000000 --- a/libtommath/bn_mp_toom_sqr.c +++ /dev/null @@ -1,224 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TOOM_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* squaring using Toom-Cook 3-way algorithm */ -int mp_toom_sqr(const mp_int *a, mp_int *b) -{ - mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = a->used / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto LBL_ERR; - } - mp_rshd(&a1, B); - if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto LBL_ERR; - } - mp_rshd(&a2, B*2); - - /* w0 = a0*a0 */ - if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) { - goto LBL_ERR; - } - - /* w4 = a2 * a2 */ - if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) { - goto LBL_ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))**2 */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))**2 */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - - - /* w2 = (a2 + a1 + a0)**2 */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3uL, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto LBL_ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto LBL_ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto LBL_ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto LBL_ERR; - } - -LBL_ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_toradix.c b/libtommath/bn_mp_toradix.c deleted file mode 100644 index 67ddc88..0000000 --- a/libtommath/bn_mp_toradix.c +++ /dev/null @@ -1,72 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TORADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) */ -int mp_toradix(const mp_int *a, char *str, int radix) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the radix */ - if ((radix < 2) || (radix > 64)) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == MP_YES) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy(&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - ++_s; - *str++ = '-'; - t.sign = MP_ZPOS; - } - - digs = 0; - while (mp_iszero(&t) == MP_NO) { - if ((res = mp_div_d(&t, (mp_digit)radix, &t, &d)) != MP_OKAY) { - mp_clear(&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number] - */ - bn_reverse((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear(&t); - return MP_OKAY; -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_toradix_n.c b/libtommath/bn_mp_toradix_n.c deleted file mode 100644 index fe0cf09..0000000 --- a/libtommath/bn_mp_toradix_n.c +++ /dev/null @@ -1,85 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_TORADIX_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) - * - * Stores upto maxlen-1 chars and always a NULL byte - */ -int mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the maxlen, radix */ - if ((maxlen < 2) || (radix < 2) || (radix > 64)) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == MP_YES) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy(&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - /* we have to reverse our digits later... but not the - sign!! */ - ++_s; - - /* store the flag and mark the number as positive */ - *str++ = '-'; - t.sign = MP_ZPOS; - - /* subtract a char */ - --maxlen; - } - - digs = 0; - while (mp_iszero(&t) == MP_NO) { - if (--maxlen < 1) { - /* no more room */ - break; - } - if ((res = mp_div_d(&t, (mp_digit)radix, &t, &d)) != MP_OKAY) { - mp_clear(&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number - */ - bn_reverse((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear(&t); - return MP_OKAY; -} - -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_ubin_size.c b/libtommath/bn_mp_ubin_size.c new file mode 100644 index 0000000..21230b4 --- /dev/null +++ b/libtommath/bn_mp_ubin_size.c @@ -0,0 +1,12 @@ +#include "tommath_private.h" +#ifdef BN_MP_UBIN_SIZE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* get the size for an unsigned equivalent */ +size_t mp_ubin_size(const mp_int *a) +{ + size_t size = (size_t)mp_count_bits(a); + return (size / 8u) + (((size & 7u) != 0u) ? 1u : 0u); +} +#endif diff --git a/libtommath/bn_mp_unpack.c b/libtommath/bn_mp_unpack.c new file mode 100644 index 0000000..d4eb90e --- /dev/null +++ b/libtommath/bn_mp_unpack.c @@ -0,0 +1,49 @@ +#include "tommath_private.h" +#ifdef BN_MP_UNPACK_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* based on gmp's mpz_import. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +mp_err mp_unpack(mp_int *rop, size_t count, mp_order order, size_t size, + mp_endian endian, size_t nails, const void *op) +{ + mp_err err; + size_t odd_nails, nail_bytes, i, j; + unsigned char odd_nail_mask; + + mp_zero(rop); + + if (endian == MP_NATIVE_ENDIAN) { + MP_GET_ENDIANNESS(endian); + } + + odd_nails = (nails % 8u); + odd_nail_mask = 0xff; + for (i = 0; i < odd_nails; ++i) { + odd_nail_mask ^= (unsigned char)(1u << (7u - i)); + } + nail_bytes = nails / 8u; + + for (i = 0; i < count; ++i) { + for (j = 0; j < (size - nail_bytes); ++j) { + unsigned char byte = *((const unsigned char *)op + + (((order == MP_MSB_FIRST) ? i : ((count - 1u) - i)) * size) + + ((endian == MP_BIG_ENDIAN) ? (j + nail_bytes) : (((size - 1u) - j) - nail_bytes))); + + if ((err = mp_mul_2d(rop, (j == 0u) ? (int)(8u - odd_nails) : 8, rop)) != MP_OKAY) { + return err; + } + + rop->dp[0] |= (j == 0u) ? (mp_digit)(byte & odd_nail_mask) : (mp_digit)byte; + rop->used += 1; + } + } + + mp_clamp(rop); + + return MP_OKAY; +} + +#endif diff --git a/libtommath/bn_mp_unsigned_bin_size.c b/libtommath/bn_mp_unsigned_bin_size.c deleted file mode 100644 index 396cd2d..0000000 --- a/libtommath/bn_mp_unsigned_bin_size.c +++ /dev/null @@ -1,25 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_MP_UNSIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* get the size for an unsigned equivalent */ -int mp_unsigned_bin_size(const mp_int *a) -{ - int size = mp_count_bits(a); - return (size / 8) + ((((unsigned)size & 7u) != 0u) ? 1 : 0); -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_xor.c b/libtommath/bn_mp_xor.c index 95b56a1..71e7ca1 100644 --- a/libtommath/bn_mp_xor.c +++ b/libtommath/bn_mp_xor.c @@ -1,48 +1,56 @@ #include "tommath_private.h" #ifdef BN_MP_XOR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* XOR two ints together */ -int mp_xor(const mp_int *a, const mp_int *b, mp_int *c) +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* two complement xor */ +mp_err mp_xor(const mp_int *a, const mp_int *b, mp_int *c) { - int res, ix, px; - mp_int t; - const mp_int *x; + int used = MP_MAX(a->used, b->used) + 1, i; + mp_err err; + mp_digit ac = 1, bc = 1, cc = 1; + mp_sign csign = (a->sign != b->sign) ? MP_NEG : MP_ZPOS; - if (a->used > b->used) { - if ((res = mp_init_copy(&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy(&t, b)) != MP_OKAY) { - return res; + if (c->alloc < used) { + if ((err = mp_grow(c, used)) != MP_OKAY) { + return err; } - px = a->used; - x = a; } - for (ix = 0; ix < px; ix++) { - t.dp[ix] ^= x->dp[ix]; + for (i = 0; i < used; i++) { + mp_digit x, y; + + /* convert to two complement if negative */ + if (a->sign == MP_NEG) { + ac += (i >= a->used) ? MP_MASK : (~a->dp[i] & MP_MASK); + x = ac & MP_MASK; + ac >>= MP_DIGIT_BIT; + } else { + x = (i >= a->used) ? 0uL : a->dp[i]; + } + + /* convert to two complement if negative */ + if (b->sign == MP_NEG) { + bc += (i >= b->used) ? MP_MASK : (~b->dp[i] & MP_MASK); + y = bc & MP_MASK; + bc >>= MP_DIGIT_BIT; + } else { + y = (i >= b->used) ? 0uL : b->dp[i]; + } + + c->dp[i] = x ^ y; + + /* convert to to sign-magnitude if negative */ + if (csign == MP_NEG) { + cc += ~c->dp[i] & MP_MASK; + c->dp[i] = cc & MP_MASK; + cc >>= MP_DIGIT_BIT; + } } - mp_clamp(&t); - mp_exch(c, &t); - mp_clear(&t); + + c->used = used; + c->sign = csign; + mp_clamp(c); return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_mp_zero.c b/libtommath/bn_mp_zero.c index bcb7ca5..72a255e 100644 --- a/libtommath/bn_mp_zero.c +++ b/libtommath/bn_mp_zero.c @@ -1,33 +1,13 @@ #include "tommath_private.h" #ifdef BN_MP_ZERO_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* set to zero */ void mp_zero(mp_int *a) { - int n; - mp_digit *tmp; - a->sign = MP_ZPOS; a->used = 0; - - tmp = a->dp; - for (n = 0; n < a->alloc; n++) { - *tmp++ = 0; - } + MP_ZERO_DIGITS(a->dp, a->alloc); } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_prime_tab.c b/libtommath/bn_prime_tab.c index 77440bd..a6c07f8 100644 --- a/libtommath/bn_prime_tab.c +++ b/libtommath/bn_prime_tab.c @@ -1,16 +1,7 @@ #include "tommath_private.h" #ifdef BN_PRIME_TAB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, @@ -52,8 +43,19 @@ const mp_digit ltm_prime_tab[] = { 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 #endif }; + +#if defined(__GNUC__) && __GNUC__ >= 4 +#pragma GCC diagnostic push +#pragma GCC diagnostic ignored "-Wdeprecated-declarations" +const mp_digit *s_mp_prime_tab = ltm_prime_tab; +#pragma GCC diagnostic pop +#elif defined(_MSC_VER) && _MSC_VER >= 1500 +#pragma warning(push) +#pragma warning(disable: 4996) +const mp_digit *s_mp_prime_tab = ltm_prime_tab; +#pragma warning(pop) +#else +const mp_digit *s_mp_prime_tab = ltm_prime_tab; #endif -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ +#endif diff --git a/libtommath/bn_reverse.c b/libtommath/bn_reverse.c deleted file mode 100644 index 22b1753..0000000 --- a/libtommath/bn_reverse.c +++ /dev/null @@ -1,35 +0,0 @@ -#include "tommath_private.h" -#ifdef BN_REVERSE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* reverse an array, used for radix code */ -void bn_reverse(unsigned char *s, int len) -{ - int ix, iy; - unsigned char t; - - ix = 0; - iy = len - 1; - while (ix < iy) { - t = s[ix]; - s[ix] = s[iy]; - s[iy] = t; - ++ix; - --iy; - } -} -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_s_mp_add.c b/libtommath/bn_s_mp_add.c index 8bcd977..c946aa8 100644 --- a/libtommath/bn_s_mp_add.c +++ b/libtommath/bn_s_mp_add.c @@ -1,22 +1,14 @@ #include "tommath_private.h" #ifdef BN_S_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ -int s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) +mp_err s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) { const mp_int *x; - int olduse, res, min, max; + mp_err err; + int olduse, min, max; /* find sizes, we let |a| <= |b| which means we have to sort * them. "x" will point to the input with the most digits @@ -33,8 +25,8 @@ int s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) /* init result */ if (c->alloc < (max + 1)) { - if ((res = mp_grow(c, max + 1)) != MP_OKAY) { - return res; + if ((err = mp_grow(c, max + 1)) != MP_OKAY) { + return err; } } @@ -64,7 +56,7 @@ int s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) *tmpc = *tmpa++ + *tmpb++ + u; /* U = carry bit of T[i] */ - u = *tmpc >> (mp_digit)DIGIT_BIT; + u = *tmpc >> (mp_digit)MP_DIGIT_BIT; /* take away carry bit from T[i] */ *tmpc++ &= MP_MASK; @@ -79,7 +71,7 @@ int s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) *tmpc = x->dp[i] + u; /* U = carry bit of T[i] */ - u = *tmpc >> (mp_digit)DIGIT_BIT; + u = *tmpc >> (mp_digit)MP_DIGIT_BIT; /* take away carry bit from T[i] */ *tmpc++ &= MP_MASK; @@ -90,16 +82,10 @@ int s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) *tmpc++ = u; /* clear digits above oldused */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } + MP_ZERO_DIGITS(tmpc, olduse - c->used); } mp_clamp(c); return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_s_mp_balance_mul.c b/libtommath/bn_s_mp_balance_mul.c new file mode 100644 index 0000000..7ece5d7 --- /dev/null +++ b/libtommath/bn_s_mp_balance_mul.c @@ -0,0 +1,81 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_BALANCE_MUL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* single-digit multiplication with the smaller number as the single-digit */ +mp_err s_mp_balance_mul(const mp_int *a, const mp_int *b, mp_int *c) +{ + int count, len_a, len_b, nblocks, i, j, bsize; + mp_int a0, tmp, A, B, r; + mp_err err; + + len_a = a->used; + len_b = b->used; + + nblocks = MP_MAX(a->used, b->used) / MP_MIN(a->used, b->used); + bsize = MP_MIN(a->used, b->used) ; + + if ((err = mp_init_size(&a0, bsize + 2)) != MP_OKAY) { + return err; + } + if ((err = mp_init_multi(&tmp, &r, NULL)) != MP_OKAY) { + mp_clear(&a0); + return err; + } + + /* Make sure that A is the larger one*/ + if (len_a < len_b) { + B = *a; + A = *b; + } else { + A = *a; + B = *b; + } + + for (i = 0, j=0; i < nblocks; i++) { + /* Cut a slice off of a */ + a0.used = 0; + for (count = 0; count < bsize; count++) { + a0.dp[count] = A.dp[ j++ ]; + a0.used++; + } + mp_clamp(&a0); + /* Multiply with b */ + if ((err = mp_mul(&a0, &B, &tmp)) != MP_OKAY) { + goto LBL_ERR; + } + /* Shift tmp to the correct position */ + if ((err = mp_lshd(&tmp, bsize * i)) != MP_OKAY) { + goto LBL_ERR; + } + /* Add to output. No carry needed */ + if ((err = mp_add(&r, &tmp, &r)) != MP_OKAY) { + goto LBL_ERR; + } + } + /* The left-overs; there are always left-overs */ + if (j < A.used) { + a0.used = 0; + for (count = 0; j < A.used; count++) { + a0.dp[count] = A.dp[ j++ ]; + a0.used++; + } + mp_clamp(&a0); + if ((err = mp_mul(&a0, &B, &tmp)) != MP_OKAY) { + goto LBL_ERR; + } + if ((err = mp_lshd(&tmp, bsize * i)) != MP_OKAY) { + goto LBL_ERR; + } + if ((err = mp_add(&r, &tmp, &r)) != MP_OKAY) { + goto LBL_ERR; + } + } + + mp_exch(&r,c); +LBL_ERR: + mp_clear_multi(&a0, &tmp, &r,NULL); + return err; +} +#endif diff --git a/libtommath/bn_s_mp_exptmod.c b/libtommath/bn_s_mp_exptmod.c index 8abc11a..c3bfa95 100644 --- a/libtommath/bn_s_mp_exptmod.c +++ b/libtommath/bn_s_mp_exptmod.c @@ -1,29 +1,23 @@ #include "tommath_private.h" #ifdef BN_S_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ #ifdef MP_LOW_MEM # define TAB_SIZE 32 +# define MAX_WINSIZE 5 #else # define TAB_SIZE 256 +# define MAX_WINSIZE 0 #endif -int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) +mp_err s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) { mp_int M[TAB_SIZE], res, mu; mp_digit buf; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - int (*redux)(mp_int *x, const mp_int *m, const mp_int *mu); + mp_err err; + int bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; + mp_err(*redux)(mp_int *x, const mp_int *m, const mp_int *mu); /* find window size */ x = mp_count_bits(X); @@ -43,11 +37,7 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i winsize = 8; } -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif + winsize = MAX_WINSIZE ? MP_MIN(MAX_WINSIZE, winsize) : winsize; /* init M array */ /* init first cell */ @@ -67,19 +57,13 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i } /* create mu, used for Barrett reduction */ - if ((err = mp_init(&mu)) != MP_OKAY) { - goto LBL_M; - } + if ((err = mp_init(&mu)) != MP_OKAY) goto LBL_M; if (redmode == 0) { - if ((err = mp_reduce_setup(&mu, P)) != MP_OKAY) { - goto LBL_MU; - } + if ((err = mp_reduce_setup(&mu, P)) != MP_OKAY) goto LBL_MU; redux = mp_reduce; } else { - if ((err = mp_reduce_2k_setup_l(P, &mu)) != MP_OKAY) { - goto LBL_MU; - } + if ((err = mp_reduce_2k_setup_l(P, &mu)) != MP_OKAY) goto LBL_MU; redux = mp_reduce_2k_l; } @@ -91,46 +75,32 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i * The first half of the table is not * computed though accept for M[0] and M[1] */ - if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { - goto LBL_MU; - } + if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) goto LBL_MU; /* compute the value at M[1<<(winsize-1)] by squaring * M[1] (winsize-1) times */ - if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } + if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) goto LBL_MU; for (x = 0; x < (winsize - 1); x++) { /* square it */ if ((err = mp_sqr(&M[(size_t)1 << (winsize - 1)], - &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } + &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) goto LBL_MU; /* reduce modulo P */ - if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } + if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, &mu)) != MP_OKAY) goto LBL_MU; } /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) */ for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul(&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_MU; - } - if ((err = redux(&M[x], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } + if ((err = mp_mul(&M[x - 1], &M[1], &M[x])) != MP_OKAY) goto LBL_MU; + if ((err = redux(&M[x], P, &mu)) != MP_OKAY) goto LBL_MU; } /* setup result */ - if ((err = mp_init(&res)) != MP_OKAY) { - goto LBL_MU; - } + if ((err = mp_init(&res)) != MP_OKAY) goto LBL_MU; mp_set(&res, 1uL); /* set initial mode and bit cnt */ @@ -150,11 +120,11 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i } /* read next digit and reset the bitcnt */ buf = X->dp[digidx--]; - bitcnt = (int)DIGIT_BIT; + bitcnt = (int)MP_DIGIT_BIT; } /* grab the next msb from the exponent */ - y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; + y = (buf >> (mp_digit)(MP_DIGIT_BIT - 1)) & 1uL; buf <<= (mp_digit)1; /* if the bit is zero and mode == 0 then we ignore it @@ -168,12 +138,8 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i /* if the bit is zero and mode == 1 then we square */ if ((mode == 1) && (y == 0)) { - if ((err = mp_sqr(&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } + if ((err = mp_sqr(&res, &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; continue; } @@ -185,21 +151,13 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i /* ok window is filled so square as required and multiply */ /* square first */ for (x = 0; x < winsize; x++) { - if ((err = mp_sqr(&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } + if ((err = mp_sqr(&res, &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; } /* then multiply */ - if ((err = mp_mul(&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } + if ((err = mp_mul(&res, &M[bitbuf], &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; /* empty window and reset */ bitcpy = 0; @@ -212,22 +170,14 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i if ((mode == 2) && (bitcpy > 0)) { /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr(&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } + if ((err = mp_sqr(&res, &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; bitbuf <<= 1; if ((bitbuf & (1 << winsize)) != 0) { /* then multiply */ - if ((err = mp_mul(&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux(&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } + if ((err = mp_mul(&res, &M[1], &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, &mu)) != MP_OKAY) goto LBL_RES; } } } @@ -246,7 +196,3 @@ LBL_M: return err; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_s_mp_exptmod_fast.c b/libtommath/bn_s_mp_exptmod_fast.c new file mode 100644 index 0000000..682ded8 --- /dev/null +++ b/libtommath/bn_s_mp_exptmod_fast.c @@ -0,0 +1,254 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_EXPTMOD_FAST_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 + * + * Uses a left-to-right k-ary sliding window to compute the modular exponentiation. + * The value of k changes based on the size of the exponent. + * + * Uses Montgomery or Diminished Radix reduction [whichever appropriate] + */ + +#ifdef MP_LOW_MEM +# define TAB_SIZE 32 +# define MAX_WINSIZE 5 +#else +# define TAB_SIZE 256 +# define MAX_WINSIZE 0 +#endif + +mp_err s_mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) +{ + mp_int M[TAB_SIZE], res; + mp_digit buf, mp; + int bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; + mp_err err; + + /* use a pointer to the reduction algorithm. This allows us to use + * one of many reduction algorithms without modding the guts of + * the code with if statements everywhere. + */ + mp_err(*redux)(mp_int *x, const mp_int *n, mp_digit rho); + + /* find window size */ + x = mp_count_bits(X); + if (x <= 7) { + winsize = 2; + } else if (x <= 36) { + winsize = 3; + } else if (x <= 140) { + winsize = 4; + } else if (x <= 450) { + winsize = 5; + } else if (x <= 1303) { + winsize = 6; + } else if (x <= 3529) { + winsize = 7; + } else { + winsize = 8; + } + + winsize = MAX_WINSIZE ? MP_MIN(MAX_WINSIZE, winsize) : winsize; + + /* init M array */ + /* init first cell */ + if ((err = mp_init_size(&M[1], P->alloc)) != MP_OKAY) { + return err; + } + + /* now init the second half of the array */ + for (x = 1<<(winsize-1); x < (1 << winsize); x++) { + if ((err = mp_init_size(&M[x], P->alloc)) != MP_OKAY) { + for (y = 1<<(winsize-1); y < x; y++) { + mp_clear(&M[y]); + } + mp_clear(&M[1]); + return err; + } + } + + /* determine and setup reduction code */ + if (redmode == 0) { + if (MP_HAS(MP_MONTGOMERY_SETUP)) { + /* now setup montgomery */ + if ((err = mp_montgomery_setup(P, &mp)) != MP_OKAY) goto LBL_M; + } else { + err = MP_VAL; + goto LBL_M; + } + + /* automatically pick the comba one if available (saves quite a few calls/ifs) */ + if (MP_HAS(S_MP_MONTGOMERY_REDUCE_FAST) && + (((P->used * 2) + 1) < MP_WARRAY) && + (P->used < MP_MAXFAST)) { + redux = s_mp_montgomery_reduce_fast; + } else if (MP_HAS(MP_MONTGOMERY_REDUCE)) { + /* use slower baseline Montgomery method */ + redux = mp_montgomery_reduce; + } else { + err = MP_VAL; + goto LBL_M; + } + } else if (redmode == 1) { + if (MP_HAS(MP_DR_SETUP) && MP_HAS(MP_DR_REDUCE)) { + /* setup DR reduction for moduli of the form B**k - b */ + mp_dr_setup(P, &mp); + redux = mp_dr_reduce; + } else { + err = MP_VAL; + goto LBL_M; + } + } else if (MP_HAS(MP_REDUCE_2K_SETUP) && MP_HAS(MP_REDUCE_2K)) { + /* setup DR reduction for moduli of the form 2**k - b */ + if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) goto LBL_M; + redux = mp_reduce_2k; + } else { + err = MP_VAL; + goto LBL_M; + } + + /* setup result */ + if ((err = mp_init_size(&res, P->alloc)) != MP_OKAY) goto LBL_M; + + /* create M table + * + + * + * The first half of the table is not computed though accept for M[0] and M[1] + */ + + if (redmode == 0) { + if (MP_HAS(MP_MONTGOMERY_CALC_NORMALIZATION)) { + /* now we need R mod m */ + if ((err = mp_montgomery_calc_normalization(&res, P)) != MP_OKAY) goto LBL_RES; + + /* now set M[1] to G * R mod m */ + if ((err = mp_mulmod(G, &res, P, &M[1])) != MP_OKAY) goto LBL_RES; + } else { + err = MP_VAL; + goto LBL_RES; + } + } else { + mp_set(&res, 1uL); + if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) goto LBL_RES; + } + + /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ + if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) goto LBL_RES; + + for (x = 0; x < (winsize - 1); x++) { + if ((err = mp_sqr(&M[(size_t)1 << (winsize - 1)], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) goto LBL_RES; + if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, mp)) != MP_OKAY) goto LBL_RES; + } + + /* create upper table */ + for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { + if ((err = mp_mul(&M[x - 1], &M[1], &M[x])) != MP_OKAY) goto LBL_RES; + if ((err = redux(&M[x], P, mp)) != MP_OKAY) goto LBL_RES; + } + + /* set initial mode and bit cnt */ + mode = 0; + bitcnt = 1; + buf = 0; + digidx = X->used - 1; + bitcpy = 0; + bitbuf = 0; + + for (;;) { + /* grab next digit as required */ + if (--bitcnt == 0) { + /* if digidx == -1 we are out of digits so break */ + if (digidx == -1) { + break; + } + /* read next digit and reset bitcnt */ + buf = X->dp[digidx--]; + bitcnt = (int)MP_DIGIT_BIT; + } + + /* grab the next msb from the exponent */ + y = (mp_digit)(buf >> (MP_DIGIT_BIT - 1)) & 1uL; + buf <<= (mp_digit)1; + + /* if the bit is zero and mode == 0 then we ignore it + * These represent the leading zero bits before the first 1 bit + * in the exponent. Technically this opt is not required but it + * does lower the # of trivial squaring/reductions used + */ + if ((mode == 0) && (y == 0)) { + continue; + } + + /* if the bit is zero and mode == 1 then we square */ + if ((mode == 1) && (y == 0)) { + if ((err = mp_sqr(&res, &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, mp)) != MP_OKAY) goto LBL_RES; + continue; + } + + /* else we add it to the window */ + bitbuf |= (y << (winsize - ++bitcpy)); + mode = 2; + + if (bitcpy == winsize) { + /* ok window is filled so square as required and multiply */ + /* square first */ + for (x = 0; x < winsize; x++) { + if ((err = mp_sqr(&res, &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, mp)) != MP_OKAY) goto LBL_RES; + } + + /* then multiply */ + if ((err = mp_mul(&res, &M[bitbuf], &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, mp)) != MP_OKAY) goto LBL_RES; + + /* empty window and reset */ + bitcpy = 0; + bitbuf = 0; + mode = 1; + } + } + + /* if bits remain then square/multiply */ + if ((mode == 2) && (bitcpy > 0)) { + /* square then multiply if the bit is set */ + for (x = 0; x < bitcpy; x++) { + if ((err = mp_sqr(&res, &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, mp)) != MP_OKAY) goto LBL_RES; + + /* get next bit of the window */ + bitbuf <<= 1; + if ((bitbuf & (1 << winsize)) != 0) { + /* then multiply */ + if ((err = mp_mul(&res, &M[1], &res)) != MP_OKAY) goto LBL_RES; + if ((err = redux(&res, P, mp)) != MP_OKAY) goto LBL_RES; + } + } + } + + if (redmode == 0) { + /* fixup result if Montgomery reduction is used + * recall that any value in a Montgomery system is + * actually multiplied by R mod n. So we have + * to reduce one more time to cancel out the factor + * of R. + */ + if ((err = redux(&res, P, mp)) != MP_OKAY) goto LBL_RES; + } + + /* swap res with Y */ + mp_exch(&res, Y); + err = MP_OKAY; +LBL_RES: + mp_clear(&res); +LBL_M: + mp_clear(&M[1]); + for (x = 1<<(winsize-1); x < (1 << winsize); x++) { + mp_clear(&M[x]); + } + return err; +} +#endif diff --git a/libtommath/bn_s_mp_get_bit.c b/libtommath/bn_s_mp_get_bit.c new file mode 100644 index 0000000..28598df --- /dev/null +++ b/libtommath/bn_s_mp_get_bit.c @@ -0,0 +1,21 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_GET_BIT_C + +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* Get bit at position b and return MP_YES if the bit is 1, MP_NO if it is 0 */ +mp_bool s_mp_get_bit(const mp_int *a, unsigned int b) +{ + mp_digit bit; + int limb = (int)(b / MP_DIGIT_BIT); + + if (limb >= a->used) { + return MP_NO; + } + + bit = (mp_digit)1 << (b % MP_DIGIT_BIT); + return ((a->dp[limb] & bit) != 0u) ? MP_YES : MP_NO; +} + +#endif diff --git a/libtommath/bn_s_mp_invmod_fast.c b/libtommath/bn_s_mp_invmod_fast.c new file mode 100644 index 0000000..677d7ab --- /dev/null +++ b/libtommath/bn_s_mp_invmod_fast.c @@ -0,0 +1,118 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_INVMOD_FAST_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* computes the modular inverse via binary extended euclidean algorithm, + * that is c = 1/a mod b + * + * Based on slow invmod except this is optimized for the case where b is + * odd as per HAC Note 14.64 on pp. 610 + */ +mp_err s_mp_invmod_fast(const mp_int *a, const mp_int *b, mp_int *c) +{ + mp_int x, y, u, v, B, D; + mp_sign neg; + mp_err err; + + /* 2. [modified] b must be odd */ + if (MP_IS_EVEN(b)) { + return MP_VAL; + } + + /* init all our temps */ + if ((err = mp_init_multi(&x, &y, &u, &v, &B, &D, NULL)) != MP_OKAY) { + return err; + } + + /* x == modulus, y == value to invert */ + if ((err = mp_copy(b, &x)) != MP_OKAY) goto LBL_ERR; + + /* we need y = |a| */ + if ((err = mp_mod(a, b, &y)) != MP_OKAY) goto LBL_ERR; + + /* if one of x,y is zero return an error! */ + if (MP_IS_ZERO(&x) || MP_IS_ZERO(&y)) { + err = MP_VAL; + goto LBL_ERR; + } + + /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ + if ((err = mp_copy(&x, &u)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_copy(&y, &v)) != MP_OKAY) goto LBL_ERR; + mp_set(&D, 1uL); + +top: + /* 4. while u is even do */ + while (MP_IS_EVEN(&u)) { + /* 4.1 u = u/2 */ + if ((err = mp_div_2(&u, &u)) != MP_OKAY) goto LBL_ERR; + + /* 4.2 if B is odd then */ + if (MP_IS_ODD(&B)) { + if ((err = mp_sub(&B, &x, &B)) != MP_OKAY) goto LBL_ERR; + } + /* B = B/2 */ + if ((err = mp_div_2(&B, &B)) != MP_OKAY) goto LBL_ERR; + } + + /* 5. while v is even do */ + while (MP_IS_EVEN(&v)) { + /* 5.1 v = v/2 */ + if ((err = mp_div_2(&v, &v)) != MP_OKAY) goto LBL_ERR; + + /* 5.2 if D is odd then */ + if (MP_IS_ODD(&D)) { + /* D = (D-x)/2 */ + if ((err = mp_sub(&D, &x, &D)) != MP_OKAY) goto LBL_ERR; + } + /* D = D/2 */ + if ((err = mp_div_2(&D, &D)) != MP_OKAY) goto LBL_ERR; + } + + /* 6. if u >= v then */ + if (mp_cmp(&u, &v) != MP_LT) { + /* u = u - v, B = B - D */ + if ((err = mp_sub(&u, &v, &u)) != MP_OKAY) goto LBL_ERR; + + if ((err = mp_sub(&B, &D, &B)) != MP_OKAY) goto LBL_ERR; + } else { + /* v - v - u, D = D - B */ + if ((err = mp_sub(&v, &u, &v)) != MP_OKAY) goto LBL_ERR; + + if ((err = mp_sub(&D, &B, &D)) != MP_OKAY) goto LBL_ERR; + } + + /* if not zero goto step 4 */ + if (!MP_IS_ZERO(&u)) { + goto top; + } + + /* now a = C, b = D, gcd == g*v */ + + /* if v != 1 then there is no inverse */ + if (mp_cmp_d(&v, 1uL) != MP_EQ) { + err = MP_VAL; + goto LBL_ERR; + } + + /* b is now the inverse */ + neg = a->sign; + while (D.sign == MP_NEG) { + if ((err = mp_add(&D, b, &D)) != MP_OKAY) goto LBL_ERR; + } + + /* too big */ + while (mp_cmp_mag(&D, b) != MP_LT) { + if ((err = mp_sub(&D, b, &D)) != MP_OKAY) goto LBL_ERR; + } + + mp_exch(&D, c); + c->sign = neg; + err = MP_OKAY; + +LBL_ERR: + mp_clear_multi(&x, &y, &u, &v, &B, &D, NULL); + return err; +} +#endif diff --git a/libtommath/bn_s_mp_invmod_slow.c b/libtommath/bn_s_mp_invmod_slow.c new file mode 100644 index 0000000..4c5db33 --- /dev/null +++ b/libtommath/bn_s_mp_invmod_slow.c @@ -0,0 +1,119 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_INVMOD_SLOW_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* hac 14.61, pp608 */ +mp_err s_mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c) +{ + mp_int x, y, u, v, A, B, C, D; + mp_err err; + + /* b cannot be negative */ + if ((b->sign == MP_NEG) || MP_IS_ZERO(b)) { + return MP_VAL; + } + + /* init temps */ + if ((err = mp_init_multi(&x, &y, &u, &v, + &A, &B, &C, &D, NULL)) != MP_OKAY) { + return err; + } + + /* x = a, y = b */ + if ((err = mp_mod(a, b, &x)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_copy(b, &y)) != MP_OKAY) goto LBL_ERR; + + /* 2. [modified] if x,y are both even then return an error! */ + if (MP_IS_EVEN(&x) && MP_IS_EVEN(&y)) { + err = MP_VAL; + goto LBL_ERR; + } + + /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ + if ((err = mp_copy(&x, &u)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_copy(&y, &v)) != MP_OKAY) goto LBL_ERR; + mp_set(&A, 1uL); + mp_set(&D, 1uL); + +top: + /* 4. while u is even do */ + while (MP_IS_EVEN(&u)) { + /* 4.1 u = u/2 */ + if ((err = mp_div_2(&u, &u)) != MP_OKAY) goto LBL_ERR; + + /* 4.2 if A or B is odd then */ + if (MP_IS_ODD(&A) || MP_IS_ODD(&B)) { + /* A = (A+y)/2, B = (B-x)/2 */ + if ((err = mp_add(&A, &y, &A)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_sub(&B, &x, &B)) != MP_OKAY) goto LBL_ERR; + } + /* A = A/2, B = B/2 */ + if ((err = mp_div_2(&A, &A)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_div_2(&B, &B)) != MP_OKAY) goto LBL_ERR; + } + + /* 5. while v is even do */ + while (MP_IS_EVEN(&v)) { + /* 5.1 v = v/2 */ + if ((err = mp_div_2(&v, &v)) != MP_OKAY) goto LBL_ERR; + + /* 5.2 if C or D is odd then */ + if (MP_IS_ODD(&C) || MP_IS_ODD(&D)) { + /* C = (C+y)/2, D = (D-x)/2 */ + if ((err = mp_add(&C, &y, &C)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_sub(&D, &x, &D)) != MP_OKAY) goto LBL_ERR; + } + /* C = C/2, D = D/2 */ + if ((err = mp_div_2(&C, &C)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_div_2(&D, &D)) != MP_OKAY) goto LBL_ERR; + } + + /* 6. if u >= v then */ + if (mp_cmp(&u, &v) != MP_LT) { + /* u = u - v, A = A - C, B = B - D */ + if ((err = mp_sub(&u, &v, &u)) != MP_OKAY) goto LBL_ERR; + + if ((err = mp_sub(&A, &C, &A)) != MP_OKAY) goto LBL_ERR; + + if ((err = mp_sub(&B, &D, &B)) != MP_OKAY) goto LBL_ERR; + } else { + /* v - v - u, C = C - A, D = D - B */ + if ((err = mp_sub(&v, &u, &v)) != MP_OKAY) goto LBL_ERR; + + if ((err = mp_sub(&C, &A, &C)) != MP_OKAY) goto LBL_ERR; + + if ((err = mp_sub(&D, &B, &D)) != MP_OKAY) goto LBL_ERR; + } + + /* if not zero goto step 4 */ + if (!MP_IS_ZERO(&u)) { + goto top; + } + + /* now a = C, b = D, gcd == g*v */ + + /* if v != 1 then there is no inverse */ + if (mp_cmp_d(&v, 1uL) != MP_EQ) { + err = MP_VAL; + goto LBL_ERR; + } + + /* if its too low */ + while (mp_cmp_d(&C, 0uL) == MP_LT) { + if ((err = mp_add(&C, b, &C)) != MP_OKAY) goto LBL_ERR; + } + + /* too big */ + while (mp_cmp_mag(&C, b) != MP_LT) { + if ((err = mp_sub(&C, b, &C)) != MP_OKAY) goto LBL_ERR; + } + + /* C is now the inverse */ + mp_exch(&C, c); + err = MP_OKAY; +LBL_ERR: + mp_clear_multi(&x, &y, &u, &v, &A, &B, &C, &D, NULL); + return err; +} +#endif diff --git a/libtommath/bn_s_mp_karatsuba_mul.c b/libtommath/bn_s_mp_karatsuba_mul.c new file mode 100644 index 0000000..85899fb --- /dev/null +++ b/libtommath/bn_s_mp_karatsuba_mul.c @@ -0,0 +1,174 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_KARATSUBA_MUL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* c = |a| * |b| using Karatsuba Multiplication using + * three half size multiplications + * + * Let B represent the radix [e.g. 2**MP_DIGIT_BIT] and + * let n represent half of the number of digits in + * the min(a,b) + * + * a = a1 * B**n + a0 + * b = b1 * B**n + b0 + * + * Then, a * b => + a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 + * + * Note that a1b1 and a0b0 are used twice and only need to be + * computed once. So in total three half size (half # of + * digit) multiplications are performed, a0b0, a1b1 and + * (a1+b1)(a0+b0) + * + * Note that a multiplication of half the digits requires + * 1/4th the number of single precision multiplications so in + * total after one call 25% of the single precision multiplications + * are saved. Note also that the call to mp_mul can end up back + * in this function if the a0, a1, b0, or b1 are above the threshold. + * This is known as divide-and-conquer and leads to the famous + * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than + * the standard O(N**2) that the baseline/comba methods use. + * Generally though the overhead of this method doesn't pay off + * until a certain size (N ~ 80) is reached. + */ +mp_err s_mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c) +{ + mp_int x0, x1, y0, y1, t1, x0y0, x1y1; + int B; + mp_err err = MP_MEM; /* default the return code to an error */ + + /* min # of digits */ + B = MP_MIN(a->used, b->used); + + /* now divide in two */ + B = B >> 1; + + /* init copy all the temps */ + if (mp_init_size(&x0, B) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_init_size(&x1, a->used - B) != MP_OKAY) { + goto X0; + } + if (mp_init_size(&y0, B) != MP_OKAY) { + goto X1; + } + if (mp_init_size(&y1, b->used - B) != MP_OKAY) { + goto Y0; + } + + /* init temps */ + if (mp_init_size(&t1, B * 2) != MP_OKAY) { + goto Y1; + } + if (mp_init_size(&x0y0, B * 2) != MP_OKAY) { + goto T1; + } + if (mp_init_size(&x1y1, B * 2) != MP_OKAY) { + goto X0Y0; + } + + /* now shift the digits */ + x0.used = y0.used = B; + x1.used = a->used - B; + y1.used = b->used - B; + + { + int x; + mp_digit *tmpa, *tmpb, *tmpx, *tmpy; + + /* we copy the digits directly instead of using higher level functions + * since we also need to shift the digits + */ + tmpa = a->dp; + tmpb = b->dp; + + tmpx = x0.dp; + tmpy = y0.dp; + for (x = 0; x < B; x++) { + *tmpx++ = *tmpa++; + *tmpy++ = *tmpb++; + } + + tmpx = x1.dp; + for (x = B; x < a->used; x++) { + *tmpx++ = *tmpa++; + } + + tmpy = y1.dp; + for (x = B; x < b->used; x++) { + *tmpy++ = *tmpb++; + } + } + + /* only need to clamp the lower words since by definition the + * upper words x1/y1 must have a known number of digits + */ + mp_clamp(&x0); + mp_clamp(&y0); + + /* now calc the products x0y0 and x1y1 */ + /* after this x0 is no longer required, free temp [x0==t2]! */ + if (mp_mul(&x0, &y0, &x0y0) != MP_OKAY) { + goto X1Y1; /* x0y0 = x0*y0 */ + } + if (mp_mul(&x1, &y1, &x1y1) != MP_OKAY) { + goto X1Y1; /* x1y1 = x1*y1 */ + } + + /* now calc x1+x0 and y1+y0 */ + if (s_mp_add(&x1, &x0, &t1) != MP_OKAY) { + goto X1Y1; /* t1 = x1 - x0 */ + } + if (s_mp_add(&y1, &y0, &x0) != MP_OKAY) { + goto X1Y1; /* t2 = y1 - y0 */ + } + if (mp_mul(&t1, &x0, &t1) != MP_OKAY) { + goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */ + } + + /* add x0y0 */ + if (mp_add(&x0y0, &x1y1, &x0) != MP_OKAY) { + goto X1Y1; /* t2 = x0y0 + x1y1 */ + } + if (s_mp_sub(&t1, &x0, &t1) != MP_OKAY) { + goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */ + } + + /* shift by B */ + if (mp_lshd(&t1, B) != MP_OKAY) { + goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))<used; + + /* now divide in two */ + B = B >> 1; + + /* init copy all the temps */ + if (mp_init_size(&x0, B) != MP_OKAY) + goto LBL_ERR; + if (mp_init_size(&x1, a->used - B) != MP_OKAY) + goto X0; + + /* init temps */ + if (mp_init_size(&t1, a->used * 2) != MP_OKAY) + goto X1; + if (mp_init_size(&t2, a->used * 2) != MP_OKAY) + goto T1; + if (mp_init_size(&x0x0, B * 2) != MP_OKAY) + goto T2; + if (mp_init_size(&x1x1, (a->used - B) * 2) != MP_OKAY) + goto X0X0; + + { + int x; + mp_digit *dst, *src; + + src = a->dp; + + /* now shift the digits */ + dst = x0.dp; + for (x = 0; x < B; x++) { + *dst++ = *src++; + } + + dst = x1.dp; + for (x = B; x < a->used; x++) { + *dst++ = *src++; + } + } + + x0.used = B; + x1.used = a->used - B; + + mp_clamp(&x0); + + /* now calc the products x0*x0 and x1*x1 */ + if (mp_sqr(&x0, &x0x0) != MP_OKAY) + goto X1X1; /* x0x0 = x0*x0 */ + if (mp_sqr(&x1, &x1x1) != MP_OKAY) + goto X1X1; /* x1x1 = x1*x1 */ + + /* now calc (x1+x0)**2 */ + if (s_mp_add(&x1, &x0, &t1) != MP_OKAY) + goto X1X1; /* t1 = x1 - x0 */ + if (mp_sqr(&t1, &t1) != MP_OKAY) + goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ + + /* add x0y0 */ + if (s_mp_add(&x0x0, &x1x1, &t2) != MP_OKAY) + goto X1X1; /* t2 = x0x0 + x1x1 */ + if (s_mp_sub(&t1, &t2, &t1) != MP_OKAY) + goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ + + /* shift by B */ + if (mp_lshd(&t1, B) != MP_OKAY) + goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<used > MP_WARRAY) { + return MP_VAL; + } + + /* get old used count */ + olduse = x->used; + + /* grow a as required */ + if (x->alloc < (n->used + 1)) { + if ((err = mp_grow(x, n->used + 1)) != MP_OKAY) { + return err; + } + } + + /* first we have to get the digits of the input into + * an array of double precision words W[...] + */ + { + mp_word *_W; + mp_digit *tmpx; + + /* alias for the W[] array */ + _W = W; + + /* alias for the digits of x*/ + tmpx = x->dp; + + /* copy the digits of a into W[0..a->used-1] */ + for (ix = 0; ix < x->used; ix++) { + *_W++ = *tmpx++; + } + + /* zero the high words of W[a->used..m->used*2] */ + if (ix < ((n->used * 2) + 1)) { + MP_ZERO_BUFFER(_W, sizeof(mp_word) * (size_t)(((n->used * 2) + 1) - ix)); + } + } + + /* now we proceed to zero successive digits + * from the least significant upwards + */ + for (ix = 0; ix < n->used; ix++) { + /* mu = ai * m' mod b + * + * We avoid a double precision multiplication (which isn't required) + * by casting the value down to a mp_digit. Note this requires + * that W[ix-1] have the carry cleared (see after the inner loop) + */ + mp_digit mu; + mu = ((W[ix] & MP_MASK) * rho) & MP_MASK; + + /* a = a + mu * m * b**i + * + * This is computed in place and on the fly. The multiplication + * by b**i is handled by offseting which columns the results + * are added to. + * + * Note the comba method normally doesn't handle carries in the + * inner loop In this case we fix the carry from the previous + * column since the Montgomery reduction requires digits of the + * result (so far) [see above] to work. This is + * handled by fixing up one carry after the inner loop. The + * carry fixups are done in order so after these loops the + * first m->used words of W[] have the carries fixed + */ + { + int iy; + mp_digit *tmpn; + mp_word *_W; + + /* alias for the digits of the modulus */ + tmpn = n->dp; + + /* Alias for the columns set by an offset of ix */ + _W = W + ix; + + /* inner loop */ + for (iy = 0; iy < n->used; iy++) { + *_W++ += (mp_word)mu * (mp_word)*tmpn++; + } + } + + /* now fix carry for next digit, W[ix+1] */ + W[ix + 1] += W[ix] >> (mp_word)MP_DIGIT_BIT; + } + + /* now we have to propagate the carries and + * shift the words downward [all those least + * significant digits we zeroed]. + */ + { + mp_digit *tmpx; + mp_word *_W, *_W1; + + /* nox fix rest of carries */ + + /* alias for current word */ + _W1 = W + ix; + + /* alias for next word, where the carry goes */ + _W = W + ++ix; + + for (; ix < ((n->used * 2) + 1); ix++) { + *_W++ += *_W1++ >> (mp_word)MP_DIGIT_BIT; + } + + /* copy out, A = A/b**n + * + * The result is A/b**n but instead of converting from an + * array of mp_word to mp_digit than calling mp_rshd + * we just copy them in the right order + */ + + /* alias for destination word */ + tmpx = x->dp; + + /* alias for shifted double precision result */ + _W = W + n->used; + + for (ix = 0; ix < (n->used + 1); ix++) { + *tmpx++ = *_W++ & (mp_word)MP_MASK; + } + + /* zero oldused digits, if the input a was larger than + * m->used+1 we'll have to clear the digits + */ + MP_ZERO_DIGITS(tmpx, olduse - ix); + } + + /* set the max used and clamp */ + x->used = n->used + 1; + mp_clamp(x); + + /* if A >= m then A = A - m */ + if (mp_cmp_mag(x, n) != MP_LT) { + return s_mp_sub(x, n, x); + } + return MP_OKAY; +} +#endif diff --git a/libtommath/bn_s_mp_mul_digs.c b/libtommath/bn_s_mp_mul_digs.c index 0bab02f..64509d4 100644 --- a/libtommath/bn_s_mp_mul_digs.c +++ b/libtommath/bn_s_mp_mul_digs.c @@ -1,38 +1,29 @@ #include "tommath_private.h" #ifdef BN_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* multiplies |a| * |b| and only computes upto digs digits of result * HAC pp. 595, Algorithm 14.12 Modified so you can control how * many digits of output are created. */ -int s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) +mp_err s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) { mp_int t; - int res, pa, pb, ix, iy; + mp_err err; + int pa, pb, ix, iy; mp_digit u; mp_word r; mp_digit tmpx, *tmpt, *tmpy; /* can we use the fast multiplier? */ - if ((digs < (int)MP_WARRAY) && - (MIN(a->used, b->used) < - (int)(1u << (((size_t)CHAR_BIT * sizeof(mp_word)) - (2u * (size_t)DIGIT_BIT))))) { - return fast_s_mp_mul_digs(a, b, c, digs); + if ((digs < MP_WARRAY) && + (MP_MIN(a->used, b->used) < MP_MAXFAST)) { + return s_mp_mul_digs_fast(a, b, c, digs); } - if ((res = mp_init_size(&t, digs)) != MP_OKAY) { - return res; + if ((err = mp_init_size(&t, digs)) != MP_OKAY) { + return err; } t.used = digs; @@ -43,7 +34,7 @@ int s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) u = 0; /* limit ourselves to making digs digits of output */ - pb = MIN(b->used, digs - ix); + pb = MP_MIN(b->used, digs - ix); /* setup some aliases */ /* copy of the digit from a used within the nested loop */ @@ -66,7 +57,7 @@ int s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) *tmpt++ = (mp_digit)(r & (mp_word)MP_MASK); /* get the carry word from the result */ - u = (mp_digit)(r >> (mp_word)DIGIT_BIT); + u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT); } /* set carry if it is placed below digs */ if ((ix + iy) < digs) { @@ -81,7 +72,3 @@ int s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_s_mp_mul_digs_fast.c b/libtommath/bn_s_mp_mul_digs_fast.c new file mode 100644 index 0000000..b2a287b --- /dev/null +++ b/libtommath/bn_s_mp_mul_digs_fast.c @@ -0,0 +1,90 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_MUL_DIGS_FAST_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* Fast (comba) multiplier + * + * This is the fast column-array [comba] multiplier. It is + * designed to compute the columns of the product first + * then handle the carries afterwards. This has the effect + * of making the nested loops that compute the columns very + * simple and schedulable on super-scalar processors. + * + * This has been modified to produce a variable number of + * digits of output so if say only a half-product is required + * you don't have to compute the upper half (a feature + * required for fast Barrett reduction). + * + * Based on Algorithm 14.12 on pp.595 of HAC. + * + */ +mp_err s_mp_mul_digs_fast(const mp_int *a, const mp_int *b, mp_int *c, int digs) +{ + int olduse, pa, ix, iz; + mp_err err; + mp_digit W[MP_WARRAY]; + mp_word _W; + + /* grow the destination as required */ + if (c->alloc < digs) { + if ((err = mp_grow(c, digs)) != MP_OKAY) { + return err; + } + } + + /* number of output digits to produce */ + pa = MP_MIN(digs, a->used + b->used); + + /* clear the carry */ + _W = 0; + for (ix = 0; ix < pa; ix++) { + int tx, ty; + int iy; + mp_digit *tmpx, *tmpy; + + /* get offsets into the two bignums */ + ty = MP_MIN(b->used-1, ix); + tx = ix - ty; + + /* setup temp aliases */ + tmpx = a->dp + tx; + tmpy = b->dp + ty; + + /* this is the number of times the loop will iterrate, essentially + while (tx++ < a->used && ty-- >= 0) { ... } + */ + iy = MP_MIN(a->used-tx, ty+1); + + /* execute loop */ + for (iz = 0; iz < iy; ++iz) { + _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; + + } + + /* store term */ + W[ix] = (mp_digit)_W & MP_MASK; + + /* make next carry */ + _W = _W >> (mp_word)MP_DIGIT_BIT; + } + + /* setup dest */ + olduse = c->used; + c->used = pa; + + { + mp_digit *tmpc; + tmpc = c->dp; + for (ix = 0; ix < pa; ix++) { + /* now extract the previous digit [below the carry] */ + *tmpc++ = W[ix]; + } + + /* clear unused digits [that existed in the old copy of c] */ + MP_ZERO_DIGITS(tmpc, olduse - ix); + } + mp_clamp(c); + return MP_OKAY; +} +#endif diff --git a/libtommath/bn_s_mp_mul_high_digs.c b/libtommath/bn_s_mp_mul_high_digs.c index 7642def..2bb2a50 100644 --- a/libtommath/bn_s_mp_mul_high_digs.c +++ b/libtommath/bn_s_mp_mul_high_digs.c @@ -1,38 +1,29 @@ #include "tommath_private.h" #ifdef BN_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* multiplies |a| * |b| and does not compute the lower digs digits * [meant to get the higher part of the product] */ -int s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) +mp_err s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) { - mp_int t; - int res, pa, pb, ix, iy; + mp_int t; + int pa, pb, ix, iy; + mp_err err; mp_digit u; - mp_word r; + mp_word r; mp_digit tmpx, *tmpt, *tmpy; /* can we use the fast multiplier? */ -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C - if (((a->used + b->used + 1) < (int)MP_WARRAY) - && (MIN(a->used, b->used) < (int)(1u << (((size_t)CHAR_BIT * sizeof(mp_word)) - (2u * (size_t)DIGIT_BIT))))) { - return fast_s_mp_mul_high_digs(a, b, c, digs); + if (MP_HAS(S_MP_MUL_HIGH_DIGS_FAST) + && ((a->used + b->used + 1) < MP_WARRAY) + && (MP_MIN(a->used, b->used) < MP_MAXFAST)) { + return s_mp_mul_high_digs_fast(a, b, c, digs); } -#endif - if ((res = mp_init_size(&t, a->used + b->used + 1)) != MP_OKAY) { - return res; + if ((err = mp_init_size(&t, a->used + b->used + 1)) != MP_OKAY) { + return err; } t.used = a->used + b->used + 1; @@ -61,7 +52,7 @@ int s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) *tmpt++ = (mp_digit)(r & (mp_word)MP_MASK); /* carry the carry */ - u = (mp_digit)(r >> (mp_word)DIGIT_BIT); + u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT); } *tmpt = u; } @@ -71,7 +62,3 @@ int s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_s_mp_mul_high_digs_fast.c b/libtommath/bn_s_mp_mul_high_digs_fast.c new file mode 100644 index 0000000..a2c4fb6 --- /dev/null +++ b/libtommath/bn_s_mp_mul_high_digs_fast.c @@ -0,0 +1,81 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_MUL_HIGH_DIGS_FAST_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* this is a modified version of fast_s_mul_digs that only produces + * output digits *above* digs. See the comments for fast_s_mul_digs + * to see how it works. + * + * This is used in the Barrett reduction since for one of the multiplications + * only the higher digits were needed. This essentially halves the work. + * + * Based on Algorithm 14.12 on pp.595 of HAC. + */ +mp_err s_mp_mul_high_digs_fast(const mp_int *a, const mp_int *b, mp_int *c, int digs) +{ + int olduse, pa, ix, iz; + mp_err err; + mp_digit W[MP_WARRAY]; + mp_word _W; + + /* grow the destination as required */ + pa = a->used + b->used; + if (c->alloc < pa) { + if ((err = mp_grow(c, pa)) != MP_OKAY) { + return err; + } + } + + /* number of output digits to produce */ + pa = a->used + b->used; + _W = 0; + for (ix = digs; ix < pa; ix++) { + int tx, ty, iy; + mp_digit *tmpx, *tmpy; + + /* get offsets into the two bignums */ + ty = MP_MIN(b->used-1, ix); + tx = ix - ty; + + /* setup temp aliases */ + tmpx = a->dp + tx; + tmpy = b->dp + ty; + + /* this is the number of times the loop will iterrate, essentially its + while (tx++ < a->used && ty-- >= 0) { ... } + */ + iy = MP_MIN(a->used-tx, ty+1); + + /* execute loop */ + for (iz = 0; iz < iy; iz++) { + _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; + } + + /* store term */ + W[ix] = (mp_digit)_W & MP_MASK; + + /* make next carry */ + _W = _W >> (mp_word)MP_DIGIT_BIT; + } + + /* setup dest */ + olduse = c->used; + c->used = pa; + + { + mp_digit *tmpc; + + tmpc = c->dp + digs; + for (ix = digs; ix < pa; ix++) { + /* now extract the previous digit [below the carry] */ + *tmpc++ = W[ix]; + } + + /* clear unused digits [that existed in the old copy of c] */ + MP_ZERO_DIGITS(tmpc, olduse - ix); + } + mp_clamp(c); + return MP_OKAY; +} +#endif diff --git a/libtommath/bn_s_mp_prime_is_divisible.c b/libtommath/bn_s_mp_prime_is_divisible.c new file mode 100644 index 0000000..ffd5093 --- /dev/null +++ b/libtommath/bn_s_mp_prime_is_divisible.c @@ -0,0 +1,35 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_PRIME_IS_DIVISIBLE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* determines if an integers is divisible by one + * of the first PRIME_SIZE primes or not + * + * sets result to 0 if not, 1 if yes + */ +mp_err s_mp_prime_is_divisible(const mp_int *a, mp_bool *result) +{ + int ix; + mp_err err; + mp_digit res; + + /* default to not */ + *result = MP_NO; + + for (ix = 0; ix < PRIVATE_MP_PRIME_TAB_SIZE; ix++) { + /* what is a mod LBL_prime_tab[ix] */ + if ((err = mp_mod_d(a, s_mp_prime_tab[ix], &res)) != MP_OKAY) { + return err; + } + + /* is the residue zero? */ + if (res == 0u) { + *result = MP_YES; + return MP_OKAY; + } + } + + return MP_OKAY; +} +#endif diff --git a/libtommath/bn_s_mp_rand_jenkins.c b/libtommath/bn_s_mp_rand_jenkins.c new file mode 100644 index 0000000..da0771c --- /dev/null +++ b/libtommath/bn_s_mp_rand_jenkins.c @@ -0,0 +1,52 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_RAND_JENKINS_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* Bob Jenkins' http://burtleburtle.net/bob/rand/smallprng.html */ +/* Chosen for speed and a good "mix" */ +typedef struct { + uint64_t a; + uint64_t b; + uint64_t c; + uint64_t d; +} ranctx; + +static ranctx jenkins_x; + +#define rot(x,k) (((x)<<(k))|((x)>>(64-(k)))) +static uint64_t s_rand_jenkins_val(void) +{ + uint64_t e = jenkins_x.a - rot(jenkins_x.b, 7); + jenkins_x.a = jenkins_x.b ^ rot(jenkins_x.c, 13); + jenkins_x.b = jenkins_x.c + rot(jenkins_x.d, 37); + jenkins_x.c = jenkins_x.d + e; + jenkins_x.d = e + jenkins_x.a; + return jenkins_x.d; +} + +void s_mp_rand_jenkins_init(uint64_t seed) +{ + uint64_t i; + jenkins_x.a = 0xf1ea5eedULL; + jenkins_x.b = jenkins_x.c = jenkins_x.d = seed; + for (i = 0uLL; i < 20uLL; ++i) { + (void)s_rand_jenkins_val(); + } +} + +mp_err s_mp_rand_jenkins(void *p, size_t n) +{ + char *q = (char *)p; + while (n > 0u) { + int i; + uint64_t x = s_rand_jenkins_val(); + for (i = 0; (i < 8) && (n > 0u); ++i, --n) { + *q++ = (char)(x & 0xFFuLL); + x >>= 8; + } + } + return MP_OKAY; +} + +#endif diff --git a/libtommath/bn_s_mp_rand_platform.c b/libtommath/bn_s_mp_rand_platform.c new file mode 100644 index 0000000..27339bf --- /dev/null +++ b/libtommath/bn_s_mp_rand_platform.c @@ -0,0 +1,148 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_RAND_PLATFORM_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* First the OS-specific special cases + * - *BSD + * - Windows + */ +#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) +#define BN_S_READ_ARC4RANDOM_C +static mp_err s_read_arc4random(void *p, size_t n) +{ + arc4random_buf(p, n); + return MP_OKAY; +} +#endif + +#if defined(_WIN32) || defined(_WIN32_WCE) +#define BN_S_READ_WINCSP_C + +#ifndef _WIN32_WINNT +#define _WIN32_WINNT 0x0400 +#endif +#ifdef _WIN32_WCE +#define UNDER_CE +#define ARM +#endif + +#define WIN32_LEAN_AND_MEAN +#include +#include + +static mp_err s_read_wincsp(void *p, size_t n) +{ + static HCRYPTPROV hProv = 0; + if (hProv == 0) { + HCRYPTPROV h = 0; + if (!CryptAcquireContext(&h, NULL, MS_DEF_PROV, PROV_RSA_FULL, + (CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET)) && + !CryptAcquireContext(&h, NULL, MS_DEF_PROV, PROV_RSA_FULL, + CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET | CRYPT_NEWKEYSET)) { + return MP_ERR; + } + hProv = h; + } + return CryptGenRandom(hProv, (DWORD)n, (BYTE *)p) == TRUE ? MP_OKAY : MP_ERR; +} +#endif /* WIN32 */ + +#if !defined(BN_S_READ_WINCSP_C) && defined(__linux__) && defined(__GLIBC_PREREQ) +#if __GLIBC_PREREQ(2, 25) +#define BN_S_READ_GETRANDOM_C +#include +#include + +static mp_err s_read_getrandom(void *p, size_t n) +{ + char *q = (char *)p; + while (n > 0u) { + ssize_t ret = getrandom(q, n, 0); + if (ret < 0) { + if (errno == EINTR) { + continue; + } + return MP_ERR; + } + q += ret; + n -= (size_t)ret; + } + return MP_OKAY; +} +#endif +#endif + +/* We assume all platforms besides windows provide "/dev/urandom". + * In case yours doesn't, define MP_NO_DEV_URANDOM at compile-time. + */ +#if !defined(BN_S_READ_WINCSP_C) && !defined(MP_NO_DEV_URANDOM) +#define BN_S_READ_URANDOM_C +#ifndef MP_DEV_URANDOM +#define MP_DEV_URANDOM "/dev/urandom" +#endif +#include +#include +#include + +static mp_err s_read_urandom(void *p, size_t n) +{ + int fd; + char *q = (char *)p; + + do { + fd = open(MP_DEV_URANDOM, O_RDONLY); + } while ((fd == -1) && (errno == EINTR)); + if (fd == -1) return MP_ERR; + + while (n > 0u) { + ssize_t ret = read(fd, p, n); + if (ret < 0) { + if (errno == EINTR) { + continue; + } + close(fd); + return MP_ERR; + } + q += ret; + n -= (size_t)ret; + } + + close(fd); + return MP_OKAY; +} +#endif + +#if defined(MP_PRNG_ENABLE_LTM_RNG) +#define BN_S_READ_LTM_RNG +unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void)); +void (*ltm_rng_callback)(void); + +static mp_err s_read_ltm_rng(void *p, size_t n) +{ + unsigned long res; + if (ltm_rng == NULL) return MP_ERR; + res = ltm_rng(p, n, ltm_rng_callback); + if (res != n) return MP_ERR; + return MP_OKAY; +} +#endif + +mp_err s_read_arc4random(void *p, size_t n); +mp_err s_read_wincsp(void *p, size_t n); +mp_err s_read_getrandom(void *p, size_t n); +mp_err s_read_urandom(void *p, size_t n); +mp_err s_read_ltm_rng(void *p, size_t n); + +mp_err s_mp_rand_platform(void *p, size_t n) +{ + mp_err err = MP_ERR; + if ((err != MP_OKAY) && MP_HAS(S_READ_ARC4RANDOM)) err = s_read_arc4random(p, n); + if ((err != MP_OKAY) && MP_HAS(S_READ_WINCSP)) err = s_read_wincsp(p, n); + if ((err != MP_OKAY) && MP_HAS(S_READ_GETRANDOM)) err = s_read_getrandom(p, n); + if ((err != MP_OKAY) && MP_HAS(S_READ_URANDOM)) err = s_read_urandom(p, n); + if ((err != MP_OKAY) && MP_HAS(S_READ_LTM_RNG)) err = s_read_ltm_rng(p, n); + return err; +} + +#endif diff --git a/libtommath/bn_s_mp_reverse.c b/libtommath/bn_s_mp_reverse.c new file mode 100644 index 0000000..c549e60 --- /dev/null +++ b/libtommath/bn_s_mp_reverse.c @@ -0,0 +1,22 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_REVERSE_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* reverse an array, used for radix code */ +void s_mp_reverse(unsigned char *s, size_t len) +{ + size_t ix, iy; + unsigned char t; + + ix = 0u; + iy = len - 1u; + while (ix < iy) { + t = s[ix]; + s[ix] = s[iy]; + s[iy] = t; + ++ix; + --iy; + } +} +#endif diff --git a/libtommath/bn_s_mp_sqr.c b/libtommath/bn_s_mp_sqr.c index f18233d..505c9f0 100644 --- a/libtommath/bn_s_mp_sqr.c +++ b/libtommath/bn_s_mp_sqr.c @@ -1,28 +1,20 @@ #include "tommath_private.h" #ifdef BN_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ -int s_mp_sqr(const mp_int *a, mp_int *b) +mp_err s_mp_sqr(const mp_int *a, mp_int *b) { - mp_int t; - int res, ix, iy, pa; - mp_word r; + mp_int t; + int ix, iy, pa; + mp_err err; + mp_word r; mp_digit u, tmpx, *tmpt; pa = a->used; - if ((res = mp_init_size(&t, (2 * pa) + 1)) != MP_OKAY) { - return res; + if ((err = mp_init_size(&t, (2 * pa) + 1)) != MP_OKAY) { + return err; } /* default used is maximum possible size */ @@ -38,7 +30,7 @@ int s_mp_sqr(const mp_int *a, mp_int *b) t.dp[ix+ix] = (mp_digit)(r & (mp_word)MP_MASK); /* get the carry */ - u = (mp_digit)(r >> (mp_word)DIGIT_BIT); + u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT); /* left hand side of A[ix] * A[iy] */ tmpx = a->dp[ix]; @@ -59,13 +51,13 @@ int s_mp_sqr(const mp_int *a, mp_int *b) *tmpt++ = (mp_digit)(r & (mp_word)MP_MASK); /* get carry */ - u = (mp_digit)(r >> (mp_word)DIGIT_BIT); + u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT); } /* propagate upwards */ while (u != 0uL) { r = (mp_word)*tmpt + (mp_word)u; *tmpt++ = (mp_digit)(r & (mp_word)MP_MASK); - u = (mp_digit)(r >> (mp_word)DIGIT_BIT); + u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT); } } @@ -75,7 +67,3 @@ int s_mp_sqr(const mp_int *a, mp_int *b) return MP_OKAY; } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_s_mp_sqr_fast.c b/libtommath/bn_s_mp_sqr_fast.c new file mode 100644 index 0000000..4a8a891 --- /dev/null +++ b/libtommath/bn_s_mp_sqr_fast.c @@ -0,0 +1,97 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_SQR_FAST_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* the jist of squaring... + * you do like mult except the offset of the tmpx [one that + * starts closer to zero] can't equal the offset of tmpy. + * So basically you set up iy like before then you min it with + * (ty-tx) so that it never happens. You double all those + * you add in the inner loop + +After that loop you do the squares and add them in. +*/ + +mp_err s_mp_sqr_fast(const mp_int *a, mp_int *b) +{ + int olduse, pa, ix, iz; + mp_digit W[MP_WARRAY], *tmpx; + mp_word W1; + mp_err err; + + /* grow the destination as required */ + pa = a->used + a->used; + if (b->alloc < pa) { + if ((err = mp_grow(b, pa)) != MP_OKAY) { + return err; + } + } + + /* number of output digits to produce */ + W1 = 0; + for (ix = 0; ix < pa; ix++) { + int tx, ty, iy; + mp_word _W; + mp_digit *tmpy; + + /* clear counter */ + _W = 0; + + /* get offsets into the two bignums */ + ty = MP_MIN(a->used-1, ix); + tx = ix - ty; + + /* setup temp aliases */ + tmpx = a->dp + tx; + tmpy = a->dp + ty; + + /* this is the number of times the loop will iterrate, essentially + while (tx++ < a->used && ty-- >= 0) { ... } + */ + iy = MP_MIN(a->used-tx, ty+1); + + /* now for squaring tx can never equal ty + * we halve the distance since they approach at a rate of 2x + * and we have to round because odd cases need to be executed + */ + iy = MP_MIN(iy, ((ty-tx)+1)>>1); + + /* execute loop */ + for (iz = 0; iz < iy; iz++) { + _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; + } + + /* double the inner product and add carry */ + _W = _W + _W + W1; + + /* even columns have the square term in them */ + if (((unsigned)ix & 1u) == 0u) { + _W += (mp_word)a->dp[ix>>1] * (mp_word)a->dp[ix>>1]; + } + + /* store it */ + W[ix] = (mp_digit)_W & MP_MASK; + + /* make next carry */ + W1 = _W >> (mp_word)MP_DIGIT_BIT; + } + + /* setup dest */ + olduse = b->used; + b->used = a->used+a->used; + + { + mp_digit *tmpb; + tmpb = b->dp; + for (ix = 0; ix < pa; ix++) { + *tmpb++ = W[ix] & MP_MASK; + } + + /* clear unused digits [that existed in the old copy of c] */ + MP_ZERO_DIGITS(tmpb, olduse - ix); + } + mp_clamp(b); + return MP_OKAY; +} +#endif diff --git a/libtommath/bn_s_mp_sub.c b/libtommath/bn_s_mp_sub.c index c59ebef..5672dab 100644 --- a/libtommath/bn_s_mp_sub.c +++ b/libtommath/bn_s_mp_sub.c @@ -1,21 +1,13 @@ #include "tommath_private.h" #ifdef BN_S_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ -int s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) +mp_err s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) { - int olduse, res, min, max; + int olduse, min, max; + mp_err err; /* find sizes */ min = b->used; @@ -23,8 +15,8 @@ int s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) /* init result */ if (c->alloc < max) { - if ((res = mp_grow(c, max)) != MP_OKAY) { - return res; + if ((err = mp_grow(c, max)) != MP_OKAY) { + return err; } } olduse = c->used; @@ -50,7 +42,7 @@ int s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) * if a carry does occur it will propagate all the way to the * MSB. As a result a single shift is enough to get the carry */ - u = *tmpc >> (((size_t)CHAR_BIT * sizeof(mp_digit)) - 1u); + u = *tmpc >> (MP_SIZEOF_BITS(mp_digit) - 1u); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -62,16 +54,14 @@ int s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) *tmpc = *tmpa++ - u; /* U = carry bit of T[i] */ - u = *tmpc >> (((size_t)CHAR_BIT * sizeof(mp_digit)) - 1u); + u = *tmpc >> (MP_SIZEOF_BITS(mp_digit) - 1u); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; } /* clear digits above used (since we may not have grown result above) */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } + MP_ZERO_DIGITS(tmpc, olduse - c->used); } mp_clamp(c); @@ -79,7 +69,3 @@ int s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) } #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/bn_s_mp_toom_mul.c b/libtommath/bn_s_mp_toom_mul.c new file mode 100644 index 0000000..86901b0 --- /dev/null +++ b/libtommath/bn_s_mp_toom_mul.c @@ -0,0 +1,215 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_TOOM_MUL_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* multiplication using the Toom-Cook 3-way algorithm + * + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs + * (we're talking 1000s of digits here...). +*/ + +/* + This file contains code from J. Arndt's book "Matters Computational" + and the accompanying FXT-library with permission of the author. +*/ + +/* + Setup from + + Chung, Jaewook, and M. Anwar Hasan. "Asymmetric squaring formulae." + 18th IEEE Symposium on Computer Arithmetic (ARITH'07). IEEE, 2007. + + The interpolation from above needed one temporary variable more + than the interpolation here: + + Bodrato, Marco, and Alberto Zanoni. "What about Toom-Cook matrices optimality." + Centro Vito Volterra Universita di Roma Tor Vergata (2006) +*/ + +mp_err s_mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c) +{ + mp_int S1, S2, T1, a0, a1, a2, b0, b1, b2; + int B, count; + mp_err err; + + /* init temps */ + if ((err = mp_init_multi(&S1, &S2, &T1, NULL)) != MP_OKAY) { + return err; + } + + /* B */ + B = MP_MIN(a->used, b->used) / 3; + + /** a = a2 * x^2 + a1 * x + a0; */ + if ((err = mp_init_size(&a0, B)) != MP_OKAY) goto LBL_ERRa0; + + for (count = 0; count < B; count++) { + a0.dp[count] = a->dp[count]; + a0.used++; + } + mp_clamp(&a0); + if ((err = mp_init_size(&a1, B)) != MP_OKAY) goto LBL_ERRa1; + for (; count < (2 * B); count++) { + a1.dp[count - B] = a->dp[count]; + a1.used++; + } + mp_clamp(&a1); + if ((err = mp_init_size(&a2, B + (a->used - (3 * B)))) != MP_OKAY) goto LBL_ERRa2; + for (; count < a->used; count++) { + a2.dp[count - (2 * B)] = a->dp[count]; + a2.used++; + } + mp_clamp(&a2); + + /** b = b2 * x^2 + b1 * x + b0; */ + if ((err = mp_init_size(&b0, B)) != MP_OKAY) goto LBL_ERRb0; + for (count = 0; count < B; count++) { + b0.dp[count] = b->dp[count]; + b0.used++; + } + mp_clamp(&b0); + if ((err = mp_init_size(&b1, B)) != MP_OKAY) goto LBL_ERRb1; + for (; count < (2 * B); count++) { + b1.dp[count - B] = b->dp[count]; + b1.used++; + } + mp_clamp(&b1); + if ((err = mp_init_size(&b2, B + (b->used - (3 * B)))) != MP_OKAY) goto LBL_ERRb2; + for (; count < b->used; count++) { + b2.dp[count - (2 * B)] = b->dp[count]; + b2.used++; + } + mp_clamp(&b2); + + /** \\ S1 = (a2+a1+a0) * (b2+b1+b0); */ + /** T1 = a2 + a1; */ + if ((err = mp_add(&a2, &a1, &T1)) != MP_OKAY) goto LBL_ERR; + + /** S2 = T1 + a0; */ + if ((err = mp_add(&T1, &a0, &S2)) != MP_OKAY) goto LBL_ERR; + + /** c = b2 + b1; */ + if ((err = mp_add(&b2, &b1, c)) != MP_OKAY) goto LBL_ERR; + + /** S1 = c + b0; */ + if ((err = mp_add(c, &b0, &S1)) != MP_OKAY) goto LBL_ERR; + + /** S1 = S1 * S2; */ + if ((err = mp_mul(&S1, &S2, &S1)) != MP_OKAY) goto LBL_ERR; + + /** \\S2 = (4*a2+2*a1+a0) * (4*b2+2*b1+b0); */ + /** T1 = T1 + a2; */ + if ((err = mp_add(&T1, &a2, &T1)) != MP_OKAY) goto LBL_ERR; + + /** T1 = T1 << 1; */ + if ((err = mp_mul_2(&T1, &T1)) != MP_OKAY) goto LBL_ERR; + + /** T1 = T1 + a0; */ + if ((err = mp_add(&T1, &a0, &T1)) != MP_OKAY) goto LBL_ERR; + + /** c = c + b2; */ + if ((err = mp_add(c, &b2, c)) != MP_OKAY) goto LBL_ERR; + + /** c = c << 1; */ + if ((err = mp_mul_2(c, c)) != MP_OKAY) goto LBL_ERR; + + /** c = c + b0; */ + if ((err = mp_add(c, &b0, c)) != MP_OKAY) goto LBL_ERR; + + /** S2 = T1 * c; */ + if ((err = mp_mul(&T1, c, &S2)) != MP_OKAY) goto LBL_ERR; + + /** \\S3 = (a2-a1+a0) * (b2-b1+b0); */ + /** a1 = a2 - a1; */ + if ((err = mp_sub(&a2, &a1, &a1)) != MP_OKAY) goto LBL_ERR; + + /** a1 = a1 + a0; */ + if ((err = mp_add(&a1, &a0, &a1)) != MP_OKAY) goto LBL_ERR; + + /** b1 = b2 - b1; */ + if ((err = mp_sub(&b2, &b1, &b1)) != MP_OKAY) goto LBL_ERR; + + /** b1 = b1 + b0; */ + if ((err = mp_add(&b1, &b0, &b1)) != MP_OKAY) goto LBL_ERR; + + /** a1 = a1 * b1; */ + if ((err = mp_mul(&a1, &b1, &a1)) != MP_OKAY) goto LBL_ERR; + + /** b1 = a2 * b2; */ + if ((err = mp_mul(&a2, &b2, &b1)) != MP_OKAY) goto LBL_ERR; + + /** \\S2 = (S2 - S3)/3; */ + /** S2 = S2 - a1; */ + if ((err = mp_sub(&S2, &a1, &S2)) != MP_OKAY) goto LBL_ERR; + + /** S2 = S2 / 3; \\ this is an exact division */ + if ((err = mp_div_3(&S2, &S2, NULL)) != MP_OKAY) goto LBL_ERR; + + /** a1 = S1 - a1; */ + if ((err = mp_sub(&S1, &a1, &a1)) != MP_OKAY) goto LBL_ERR; + + /** a1 = a1 >> 1; */ + if ((err = mp_div_2(&a1, &a1)) != MP_OKAY) goto LBL_ERR; + + /** a0 = a0 * b0; */ + if ((err = mp_mul(&a0, &b0, &a0)) != MP_OKAY) goto LBL_ERR; + + /** S1 = S1 - a0; */ + if ((err = mp_sub(&S1, &a0, &S1)) != MP_OKAY) goto LBL_ERR; + + /** S2 = S2 - S1; */ + if ((err = mp_sub(&S2, &S1, &S2)) != MP_OKAY) goto LBL_ERR; + + /** S2 = S2 >> 1; */ + if ((err = mp_div_2(&S2, &S2)) != MP_OKAY) goto LBL_ERR; + + /** S1 = S1 - a1; */ + if ((err = mp_sub(&S1, &a1, &S1)) != MP_OKAY) goto LBL_ERR; + + /** S1 = S1 - b1; */ + if ((err = mp_sub(&S1, &b1, &S1)) != MP_OKAY) goto LBL_ERR; + + /** T1 = b1 << 1; */ + if ((err = mp_mul_2(&b1, &T1)) != MP_OKAY) goto LBL_ERR; + + /** S2 = S2 - T1; */ + if ((err = mp_sub(&S2, &T1, &S2)) != MP_OKAY) goto LBL_ERR; + + /** a1 = a1 - S2; */ + if ((err = mp_sub(&a1, &S2, &a1)) != MP_OKAY) goto LBL_ERR; + + + /** P = b1*x^4+ S2*x^3+ S1*x^2+ a1*x + a0; */ + if ((err = mp_lshd(&b1, 4 * B)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_lshd(&S2, 3 * B)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_add(&b1, &S2, &b1)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_lshd(&S1, 2 * B)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_add(&b1, &S1, &b1)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_lshd(&a1, 1 * B)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_add(&b1, &a1, &b1)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_add(&b1, &a0, c)) != MP_OKAY) goto LBL_ERR; + + /** a * b - P */ + + +LBL_ERR: + mp_clear(&b2); +LBL_ERRb2: + mp_clear(&b1); +LBL_ERRb1: + mp_clear(&b0); +LBL_ERRb0: + mp_clear(&a2); +LBL_ERRa2: + mp_clear(&a1); +LBL_ERRa1: + mp_clear(&a0); +LBL_ERRa0: + mp_clear_multi(&S1, &S2, &T1, NULL); + return err; +} + +#endif diff --git a/libtommath/bn_s_mp_toom_sqr.c b/libtommath/bn_s_mp_toom_sqr.c new file mode 100644 index 0000000..f2ffb30 --- /dev/null +++ b/libtommath/bn_s_mp_toom_sqr.c @@ -0,0 +1,147 @@ +#include "tommath_private.h" +#ifdef BN_S_MP_TOOM_SQR_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +/* squaring using Toom-Cook 3-way algorithm */ + +/* + This file contains code from J. Arndt's book "Matters Computational" + and the accompanying FXT-library with permission of the author. +*/ + +/* squaring using Toom-Cook 3-way algorithm */ +/* + Setup and interpolation from algorithm SQR_3 in + + Chung, Jaewook, and M. Anwar Hasan. "Asymmetric squaring formulae." + 18th IEEE Symposium on Computer Arithmetic (ARITH'07). IEEE, 2007. + +*/ +mp_err s_mp_toom_sqr(const mp_int *a, mp_int *b) +{ + mp_int S0, a0, a1, a2; + mp_digit *tmpa, *tmpc; + int B, count; + mp_err err; + + + /* init temps */ + if ((err = mp_init(&S0)) != MP_OKAY) { + return err; + } + + /* B */ + B = a->used / 3; + + /** a = a2 * x^2 + a1 * x + a0; */ + if ((err = mp_init_size(&a0, B)) != MP_OKAY) goto LBL_ERRa0; + + a0.used = B; + if ((err = mp_init_size(&a1, B)) != MP_OKAY) goto LBL_ERRa1; + a1.used = B; + if ((err = mp_init_size(&a2, B + (a->used - (3 * B)))) != MP_OKAY) goto LBL_ERRa2; + + tmpa = a->dp; + tmpc = a0.dp; + for (count = 0; count < B; count++) { + *tmpc++ = *tmpa++; + } + tmpc = a1.dp; + for (; count < (2 * B); count++) { + *tmpc++ = *tmpa++; + } + tmpc = a2.dp; + for (; count < a->used; count++) { + *tmpc++ = *tmpa++; + a2.used++; + } + mp_clamp(&a0); + mp_clamp(&a1); + mp_clamp(&a2); + + /** S0 = a0^2; */ + if ((err = mp_sqr(&a0, &S0)) != MP_OKAY) goto LBL_ERR; + + /** \\S1 = (a2 + a1 + a0)^2 */ + /** \\S2 = (a2 - a1 + a0)^2 */ + /** \\S1 = a0 + a2; */ + /** a0 = a0 + a2; */ + if ((err = mp_add(&a0, &a2, &a0)) != MP_OKAY) goto LBL_ERR; + /** \\S2 = S1 - a1; */ + /** b = a0 - a1; */ + if ((err = mp_sub(&a0, &a1, b)) != MP_OKAY) goto LBL_ERR; + /** \\S1 = S1 + a1; */ + /** a0 = a0 + a1; */ + if ((err = mp_add(&a0, &a1, &a0)) != MP_OKAY) goto LBL_ERR; + /** \\S1 = S1^2; */ + /** a0 = a0^2; */ + if ((err = mp_sqr(&a0, &a0)) != MP_OKAY) goto LBL_ERR; + /** \\S2 = S2^2; */ + /** b = b^2; */ + if ((err = mp_sqr(b, b)) != MP_OKAY) goto LBL_ERR; + + /** \\ S3 = 2 * a1 * a2 */ + /** \\S3 = a1 * a2; */ + /** a1 = a1 * a2; */ + if ((err = mp_mul(&a1, &a2, &a1)) != MP_OKAY) goto LBL_ERR; + /** \\S3 = S3 << 1; */ + /** a1 = a1 << 1; */ + if ((err = mp_mul_2(&a1, &a1)) != MP_OKAY) goto LBL_ERR; + + /** \\S4 = a2^2; */ + /** a2 = a2^2; */ + if ((err = mp_sqr(&a2, &a2)) != MP_OKAY) goto LBL_ERR; + + /** \\ tmp = (S1 + S2)/2 */ + /** \\tmp = S1 + S2; */ + /** b = a0 + b; */ + if ((err = mp_add(&a0, b, b)) != MP_OKAY) goto LBL_ERR; + /** \\tmp = tmp >> 1; */ + /** b = b >> 1; */ + if ((err = mp_div_2(b, b)) != MP_OKAY) goto LBL_ERR; + + /** \\ S1 = S1 - tmp - S3 */ + /** \\S1 = S1 - tmp; */ + /** a0 = a0 - b; */ + if ((err = mp_sub(&a0, b, &a0)) != MP_OKAY) goto LBL_ERR; + /** \\S1 = S1 - S3; */ + /** a0 = a0 - a1; */ + if ((err = mp_sub(&a0, &a1, &a0)) != MP_OKAY) goto LBL_ERR; + + /** \\S2 = tmp - S4 -S0 */ + /** \\S2 = tmp - S4; */ + /** b = b - a2; */ + if ((err = mp_sub(b, &a2, b)) != MP_OKAY) goto LBL_ERR; + /** \\S2 = S2 - S0; */ + /** b = b - S0; */ + if ((err = mp_sub(b, &S0, b)) != MP_OKAY) goto LBL_ERR; + + + /** \\P = S4*x^4 + S3*x^3 + S2*x^2 + S1*x + S0; */ + /** P = a2*x^4 + a1*x^3 + b*x^2 + a0*x + S0; */ + + if ((err = mp_lshd(&a2, 4 * B)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_lshd(&a1, 3 * B)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_lshd(b, 2 * B)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_lshd(&a0, 1 * B)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_add(&a2, &a1, &a2)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_add(&a2, b, b)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_add(b, &a0, b)) != MP_OKAY) goto LBL_ERR; + if ((err = mp_add(b, &S0, b)) != MP_OKAY) goto LBL_ERR; + /** a^2 - P */ + + +LBL_ERR: + mp_clear(&a2); +LBL_ERRa2: + mp_clear(&a1); +LBL_ERRa1: + mp_clear(&a0); +LBL_ERRa0: + mp_clear(&S0); + + return err; +} + +#endif diff --git a/libtommath/bncore.c b/libtommath/bncore.c deleted file mode 100644 index 8e7e51e..0000000 --- a/libtommath/bncore.c +++ /dev/null @@ -1,33 +0,0 @@ -#include "tommath_private.h" -#ifdef BNCORE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -/* Known optimal configurations - - CPU /Compiler /MUL CUTOFF/SQR CUTOFF -------------------------------------------------------------- - Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) - AMD Athlon64 /GCC v3.4.4 / 80/ 120/LTM 0.35 - -*/ - -int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsuba multiplication is used. */ - KARATSUBA_SQR_CUTOFF = 120, /* Min. number of digits before Karatsuba squaring is used. */ - - TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ - TOOM_SQR_CUTOFF = 400; -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/booker.pl b/libtommath/booker.pl deleted file mode 100644 index c2abae6..0000000 --- a/libtommath/booker.pl +++ /dev/null @@ -1,267 +0,0 @@ -#!/bin/perl -# -#Used to prepare the book "tommath.src" for LaTeX by pre-processing it into a .tex file -# -#Essentially you write the "tommath.src" as normal LaTex except where you want code snippets you put -# -#EXAM,file -# -#This preprocessor will then open "file" and insert it as a verbatim copy. -# -#Tom St Denis - -#get graphics type -if (shift =~ /PDF/) { - $graph = ""; -} else { - $graph = ".ps"; -} - -open(IN,"tommath.tex") or die "Can't open destination file"; - -print "Scanning for sections\n"; -$chapter = $section = $subsection = 0; -$x = 0; -while () { - print "."; - if (!(++$x % 80)) { print "\n"; } - #update the headings - if (~($_ =~ /\*/)) { - if ($_ =~ /\\chapter\{.+}/) { - ++$chapter; - $section = $subsection = 0; - } elsif ($_ =~ /\\section\{.+}/) { - ++$section; - $subsection = 0; - } elsif ($_ =~ /\\subsection\{.+}/) { - ++$subsection; - } - } - - if ($_ =~ m/MARK/) { - @m = split(",",$_); - chomp(@m[1]); - $index1{@m[1]} = $chapter; - $index2{@m[1]} = $section; - $index3{@m[1]} = $subsection; - } -} -close(IN); - -open(IN,") { - ++$readline; - ++$srcline; - - if ($_ =~ m/MARK/) { - } elsif ($_ =~ m/EXAM/ || $_ =~ m/LIST/) { - if ($_ =~ m/EXAM/) { - $skipheader = 1; - } else { - $skipheader = 0; - } - - # EXAM,file - chomp($_); - @m = split(",",$_); - open(SRC,"<$m[1]") or die "Error:$srcline:Can't open source file $m[1]"; - - print "$srcline:Inserting $m[1]:"; - - $line = 0; - $tmp = $m[1]; - $tmp =~ s/_/"\\_"/ge; - print OUT "\\vspace{+3mm}\\begin{small}\n\\hspace{-5.1mm}{\\bf File}: $tmp\n\\vspace{-3mm}\n\\begin{alltt}\n"; - $wroteline += 5; - - if ($skipheader == 1) { - # scan till next end of comment, e.g. skip license - while () { - $text[$line++] = $_; - last if ($_ =~ /libtom\.org/); - } - ; - } - - $inline = 0; - while () { - next if ($_ =~ /\$Source/); - next if ($_ =~ /\$Revision/); - next if ($_ =~ /\$Date/); - $text[$line++] = $_; - ++$inline; - chomp($_); - $_ =~ s/\t/" "/ge; - $_ =~ s/{/"^{"/ge; - $_ =~ s/}/"^}"/ge; - $_ =~ s/\\/'\symbol{92}'/ge; - $_ =~ s/\^/"\\"/ge; - - printf OUT ("%03d ", $line); - for ($x = 0; $x < length($_); $x++) { - print OUT chr(vec($_, $x, 8)); - if ($x == 75) { - print OUT "\n "; - ++$wroteline; - } - } - print OUT "\n"; - ++$wroteline; - } - $totlines = $line; - print OUT "\\end{alltt}\n\\end{small}\n"; - close(SRC); - print "$inline lines\n"; - $wroteline += 2; - } elsif ($_ =~ m/@\d+,.+@/) { - # line contains [number,text] - # e.g. @14,for (ix = 0)@ - $txt = $_; - while ($txt =~ m/@\d+,.+@/) { - @m = split("@",$txt); # splits into text, one, two - @parms = split(",",$m[1]); # splits one,two into two elements - - # now search from $parms[0] down for $parms[1] - $found1 = 0; - $found2 = 0; - for ($i = $parms[0]; $i < $totlines && $found1 == 0; $i++) { - if ($text[$i] =~ m/\Q$parms[1]\E/) { - $foundline1 = $i + 1; - $found1 = 1; - } - } - - # now search backwards - for ($i = $parms[0] - 1; $i >= 0 && $found2 == 0; $i--) { - if ($text[$i] =~ m/\Q$parms[1]\E/) { - $foundline2 = $i + 1; - $found2 = 1; - } - } - - # now use the closest match or the first if tied - if ($found1 == 1 && $found2 == 0) { - $found = 1; - $foundline = $foundline1; - } elsif ($found1 == 0 && $found2 == 1) { - $found = 1; - $foundline = $foundline2; - } elsif ($found1 == 1 && $found2 == 1) { - $found = 1; - if (($foundline1 - $parms[0]) <= ($parms[0] - $foundline2)) { - $foundline = $foundline1; - } else { - $foundline = $foundline2; - } - } else { - $found = 0; - } - - # if found replace - if ($found == 1) { - $delta = $parms[0] - $foundline; - print "Found replacement tag for \"$parms[1]\" on line $srcline which refers to line $foundline (delta $delta)\n"; - $_ =~ s/@\Q$m[1]\E@/$foundline/; - } else { - print "ERROR: The tag \"$parms[1]\" on line $srcline was not found in the most recently parsed source!\n"; - } - - # remake the rest of the line - $cnt = @m; - $txt = ""; - for ($i = 2; $i < $cnt; $i++) { - $txt = $txt . $m[$i] . "@"; - } - } - print OUT $_; - ++$wroteline; - } elsif ($_ =~ /~.+~/) { - # line contains a ~text~ pair used to refer to indexing :-) - $txt = $_; - while ($txt =~ /~.+~/) { - @m = split("~", $txt); - - # word is the second position - $word = @m[1]; - $a = $index1{$word}; - $b = $index2{$word}; - $c = $index3{$word}; - - # if chapter (a) is zero it wasn't found - if ($a == 0) { - print "ERROR: the tag \"$word\" on line $srcline was not found previously marked.\n"; - } else { - # format the tag as x, x.y or x.y.z depending on the values - $str = $a; - $str = $str . ".$b" if ($b != 0); - $str = $str . ".$c" if ($c != 0); - - if ($b == 0 && $c == 0) { - # its a chapter - if ($a <= 10) { - if ($a == 1) { - $str = "chapter one"; - } elsif ($a == 2) { - $str = "chapter two"; - } elsif ($a == 3) { - $str = "chapter three"; - } elsif ($a == 4) { - $str = "chapter four"; - } elsif ($a == 5) { - $str = "chapter five"; - } elsif ($a == 6) { - $str = "chapter six"; - } elsif ($a == 7) { - $str = "chapter seven"; - } elsif ($a == 8) { - $str = "chapter eight"; - } elsif ($a == 9) { - $str = "chapter nine"; - } elsif ($a == 10) { - $str = "chapter ten"; - } - } else { - $str = "chapter " . $str; - } - } else { - $str = "section " . $str if ($b != 0 && $c == 0); - $str = "sub-section " . $str if ($b != 0 && $c != 0); - } - - #substitute - $_ =~ s/~\Q$word\E~/$str/; - - print "Found replacement tag for marker \"$word\" on line $srcline which refers to $str\n"; - } - - # remake rest of the line - $cnt = @m; - $txt = ""; - for ($i = 2; $i < $cnt; $i++) { - $txt = $txt . $m[$i] . "~"; - } - } - print OUT $_; - ++$wroteline; - } elsif ($_ =~ m/FIGU/) { - # FIGU,file,caption - chomp($_); - @m = split(",", $_); - print OUT "\\begin{center}\n\\begin{figure}[here]\n\\includegraphics{pics/$m[1]$graph}\n"; - print OUT "\\caption{$m[2]}\n\\label{pic:$m[1]}\n\\end{figure}\n\\end{center}\n"; - $wroteline += 4; - } else { - print OUT $_; - ++$wroteline; - } -} -print "Read $readline lines, wrote $wroteline lines\n"; - -close (OUT); -close (IN); - -system('perl -pli -e "s/\s*$//" tommath.tex'); diff --git a/libtommath/callgraph.txt b/libtommath/callgraph.txt deleted file mode 100644 index 83ca1c1..0000000 --- a/libtommath/callgraph.txt +++ /dev/null @@ -1,21542 +0,0 @@ -BNCORE_C - - -BN_ERROR_C - - -BN_FAST_MP_INVMOD_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_FAST_MP_MONTGOMERY_REDUCE_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C - - -BN_FAST_S_MP_MUL_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_MUL_HIGH_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_SQR_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_2EXPT_C -+--->BN_MP_ZERO_C -+--->BN_MP_GROW_C - - -BN_MP_ABS_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_ADDMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C - - -BN_MP_ADD_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_ADD_D_C -+--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_AND_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_CLAMP_C - - -BN_MP_CLEAR_C - - -BN_MP_CLEAR_MULTI_C -+--->BN_MP_CLEAR_C - - -BN_MP_CMP_C -+--->BN_MP_CMP_MAG_C - - -BN_MP_CMP_D_C - - -BN_MP_CMP_MAG_C - - -BN_MP_CNT_LSB_C - - -BN_MP_COMPLEMENT_C -+--->BN_MP_NEG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_COPY_C -+--->BN_MP_GROW_C - - -BN_MP_COUNT_BITS_C - - -BN_MP_DIV_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_RSHD_C -+--->BN_MP_CLAMP_C - - -BN_MP_DIV_2_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_DIV_3_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_DIV_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_ABS_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_INIT_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -+--->BN_MP_RSHD_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_DIV_D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_DR_IS_MODULUS_C - - -BN_MP_DR_REDUCE_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C - - -BN_MP_DR_SETUP_C - - -BN_MP_EXCH_C - - -BN_MP_EXPORT_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_EXPTMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_INVMOD_C -| +--->BN_MP_CMP_D_C -| +--->BN_FAST_MP_INVMOD_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INVMOD_SLOW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -+--->BN_MP_REDUCE_IS_2K_L_C -+--->BN_S_MP_EXPTMOD_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_REDUCE_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_D_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_SETUP_L_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_L_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_EXCH_C -+--->BN_MP_DR_IS_MODULUS_C -+--->BN_MP_REDUCE_IS_2K_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_EXPTMOD_FAST_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_MONTGOMERY_SETUP_C -| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_DR_SETUP_C -| +--->BN_MP_DR_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_REDUCE_2K_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MULMOD_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C - - -BN_MP_EXPTMOD_FAST_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MONTGOMERY_SETUP_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_MONTGOMERY_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_DR_SETUP_C -+--->BN_MP_DR_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_REDUCE_2K_SETUP_C -| +--->BN_MP_INIT_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_INIT_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MULMOD_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_EXCH_C - - -BN_MP_EXPT_D_C -+--->BN_MP_EXPT_D_EX_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C - - -BN_MP_EXPT_D_EX_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C - - -BN_MP_EXTEUCLID_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_NEG_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_FREAD_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C - - -BN_MP_FWRITE_C -+--->BN_MP_RADIX_SIZE_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_TORADIX_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C - - -BN_MP_GCD_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_GET_BIT_C - - -BN_MP_GET_DOUBLE_C - - -BN_MP_GET_INT_C - - -BN_MP_GET_LONG_C - - -BN_MP_GET_LONG_LONG_C - - -BN_MP_GROW_C - - -BN_MP_IMPORT_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_INIT_C - - -BN_MP_INIT_COPY_C -+--->BN_MP_INIT_SIZE_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C - - -BN_MP_INIT_MULTI_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C - - -BN_MP_INIT_SET_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C - - -BN_MP_INIT_SET_INT_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_INT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_INIT_SIZE_C -+--->BN_MP_INIT_C - - -BN_MP_INVMOD_C -+--->BN_MP_CMP_D_C -+--->BN_FAST_MP_INVMOD_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INVMOD_SLOW_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C - - -BN_MP_INVMOD_SLOW_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_IS_SQUARE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SET_INT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_INT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -+--->BN_MP_GET_INT_C -+--->BN_MP_SQRT_C -| +--->BN_MP_N_ROOT_C -| | +--->BN_MP_N_ROOT_EX_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_EXPT_D_EX_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_SUB_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C - - -BN_MP_JACOBI_C -+--->BN_MP_KRONECKER_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_D_C - - -BN_MP_KARATSUBA_MUL_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_CLEAR_C - - -BN_MP_KARATSUBA_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_ADD_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C - - -BN_MP_KRONECKER_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_LCM_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_GCD_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_DIV_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_LSHD_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C - - -BN_MP_MOD_2D_C -+--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_MOD_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_EXCH_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C - - -BN_MP_MOD_D_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_MONTGOMERY_REDUCE_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C - - -BN_MP_MONTGOMERY_SETUP_C - - -BN_MP_MULMOD_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C - - -BN_MP_MUL_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C - - -BN_MP_MUL_2_C -+--->BN_MP_GROW_C - - -BN_MP_MUL_C -+--->BN_MP_TOOM_MUL_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_MUL_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MUL_D_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_NEG_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_N_ROOT_C -+--->BN_MP_N_ROOT_EX_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_EXPT_D_EX_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_N_ROOT_EX_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_EXPT_D_EX_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_OR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_FERMAT_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_C -+--->BN_MP_EXPTMOD_C -| +--->BN_MP_INVMOD_C -| | +--->BN_FAST_MP_INVMOD_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INVMOD_SLOW_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_REDUCE_IS_2K_L_C -| +--->BN_S_MP_EXPTMOD_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_REDUCE_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_L_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DR_IS_MODULUS_C -| +--->BN_MP_REDUCE_IS_2K_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_EXPTMOD_FAST_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_MONTGOMERY_SETUP_C -| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_DR_SETUP_C -| | +--->BN_MP_DR_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_REDUCE_2K_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MULMOD_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_FROBENIUS_UNDERWOOD_C -+--->BN_MP_PRIME_IS_PRIME_C -| +--->BN_MP_IS_SQUARE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SET_INT_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_SET_INT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_GET_INT_C -| | +--->BN_MP_SQRT_C -| | | +--->BN_MP_N_ROOT_C -| | | | +--->BN_MP_N_ROOT_EX_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_EXPT_D_EX_C -| | | | | | +--->BN_MP_INIT_COPY_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_MUL_C -| | | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_SUB_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_SQR_C -| | | | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_SUB_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SQR_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2D_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_COPY_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_SUB_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_PRIME_IS_DIVISIBLE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SET_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_PRIME_MILLER_RABIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXPTMOD_C -| | | +--->BN_MP_INVMOD_C -| | | | +--->BN_FAST_MP_INVMOD_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_SET_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INVMOD_SLOW_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_SET_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_REDUCE_IS_2K_L_C -| | | +--->BN_S_MP_EXPTMOD_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_REDUCE_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_L_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DR_IS_MODULUS_C -| | | +--->BN_MP_REDUCE_IS_2K_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_EXPTMOD_FAST_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_MONTGOMERY_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_DR_SETUP_C -| | | | +--->BN_MP_DR_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MULMOD_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_SET_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SQRMOD_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_LONG_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_GCD_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_KRONECKER_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SUB_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_GET_BIT_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_READ_RADIX_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SUB_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_RAND_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SUB_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_LONG_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_KRONECKER_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_GCD_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_EXCH_C -+--->BN_MP_GET_BIT_C -+--->BN_MP_EXCH_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_PRIME_IS_DIVISIBLE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C - - -BN_MP_PRIME_IS_PRIME_C -+--->BN_MP_IS_SQUARE_C -| +--->BN_MP_MOD_D_C -| | +--->BN_MP_DIV_D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SET_INT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_INT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_GET_INT_C -| +--->BN_MP_SQRT_C -| | +--->BN_MP_N_ROOT_C -| | | +--->BN_MP_N_ROOT_EX_C -| | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_EXPT_D_EX_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_SQR_C -| | | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SQR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_SUB_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_D_C -+--->BN_MP_PRIME_IS_DIVISIBLE_C -| +--->BN_MP_MOD_D_C -| | +--->BN_MP_DIV_D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SET_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_PRIME_FROBENIUS_UNDERWOOD_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_LONG_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_KRONECKER_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_GCD_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_GET_BIT_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_LONG_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_MULTI_C -| +--->BN_MP_GCD_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_KRONECKER_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_GET_BIT_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_MULTI_C -+--->BN_MP_READ_RADIX_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_RAND_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_MILLER_RABIN_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_EXPTMOD_C -| +--->BN_MP_INVMOD_C -| | +--->BN_FAST_MP_INVMOD_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INVMOD_SLOW_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_REDUCE_IS_2K_L_C -| +--->BN_S_MP_EXPTMOD_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_REDUCE_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_L_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DR_IS_MODULUS_C -| +--->BN_MP_REDUCE_IS_2K_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_EXPTMOD_FAST_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_MONTGOMERY_SETUP_C -| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_DR_SETUP_C -| | +--->BN_MP_DR_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_REDUCE_2K_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MULMOD_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_SQRMOD_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_NEXT_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_IS_PRIME_C -| +--->BN_MP_IS_SQUARE_C -| | +--->BN_MP_INIT_SET_INT_C -| | | +--->BN_MP_SET_INT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_GET_INT_C -| | +--->BN_MP_SQRT_C -| | | +--->BN_MP_N_ROOT_C -| | | | +--->BN_MP_N_ROOT_EX_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_EXPT_D_EX_C -| | | | | | +--->BN_MP_INIT_COPY_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_MUL_C -| | | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_SUB_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_SQR_C -| | | | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_SUB_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SQR_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2D_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_COPY_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_PRIME_IS_DIVISIBLE_C -| +--->BN_MP_INIT_SET_C -| +--->BN_MP_PRIME_MILLER_RABIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXPTMOD_C -| | | +--->BN_MP_INVMOD_C -| | | | +--->BN_FAST_MP_INVMOD_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INVMOD_SLOW_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_REDUCE_IS_2K_L_C -| | | +--->BN_S_MP_EXPTMOD_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_REDUCE_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_L_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DR_IS_MODULUS_C -| | | +--->BN_MP_REDUCE_IS_2K_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_EXPTMOD_FAST_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_MONTGOMERY_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_DR_SETUP_C -| | | | +--->BN_MP_DR_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MULMOD_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SQRMOD_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_PRIME_FROBENIUS_UNDERWOOD_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_LONG_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KRONECKER_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_GCD_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_GET_BIT_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SET_LONG_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_GCD_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_KRONECKER_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_GET_BIT_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_READ_RADIX_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_RAND_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_RABIN_MILLER_TRIALS_C - - -BN_MP_PRIME_RANDOM_EX_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_IS_PRIME_C -| +--->BN_MP_IS_SQUARE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SET_INT_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_SET_INT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_GET_INT_C -| | +--->BN_MP_SQRT_C -| | | +--->BN_MP_N_ROOT_C -| | | | +--->BN_MP_N_ROOT_EX_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_EXPT_D_EX_C -| | | | | | +--->BN_MP_INIT_COPY_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_MUL_C -| | | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_SUB_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_SQR_C -| | | | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_SUB_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SQR_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2D_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_COPY_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_SUB_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_PRIME_IS_DIVISIBLE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SET_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_PRIME_MILLER_RABIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXPTMOD_C -| | | +--->BN_MP_INVMOD_C -| | | | +--->BN_FAST_MP_INVMOD_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_SET_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INVMOD_SLOW_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_SET_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_REDUCE_IS_2K_L_C -| | | +--->BN_S_MP_EXPTMOD_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_REDUCE_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_L_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DR_IS_MODULUS_C -| | | +--->BN_MP_REDUCE_IS_2K_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_EXPTMOD_FAST_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_MONTGOMERY_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_DR_SETUP_C -| | | | +--->BN_MP_DR_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MULMOD_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_SET_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SQRMOD_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_PRIME_FROBENIUS_UNDERWOOD_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_LONG_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_KRONECKER_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_GCD_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_GET_BIT_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_LONG_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_GCD_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_KRONECKER_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SUB_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_GET_BIT_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_READ_RADIX_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SUB_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_RAND_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SUB_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C -+--->BN_MP_PRIME_IS_PRIME_C -| +--->BN_MP_IS_SQUARE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SET_INT_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_SET_INT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_GET_INT_C -| | +--->BN_MP_SQRT_C -| | | +--->BN_MP_N_ROOT_C -| | | | +--->BN_MP_N_ROOT_EX_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_EXPT_D_EX_C -| | | | | | +--->BN_MP_INIT_COPY_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_MUL_C -| | | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_SUB_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_SQR_C -| | | | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_SUB_C -| | | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_ADD_C -| | | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SQR_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2D_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_COPY_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_SUB_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_PRIME_IS_DIVISIBLE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SET_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_PRIME_MILLER_RABIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXPTMOD_C -| | | +--->BN_MP_INVMOD_C -| | | | +--->BN_FAST_MP_INVMOD_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_SET_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INVMOD_SLOW_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_SET_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_REDUCE_IS_2K_L_C -| | | +--->BN_S_MP_EXPTMOD_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_REDUCE_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_L_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DR_IS_MODULUS_C -| | | +--->BN_MP_REDUCE_IS_2K_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_EXPTMOD_FAST_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_MONTGOMERY_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_DR_SETUP_C -| | | | +--->BN_MP_DR_REDUCE_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_SET_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MULMOD_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_SET_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SQRMOD_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_PRIME_FROBENIUS_UNDERWOOD_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_LONG_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_KRONECKER_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_GCD_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CNT_LSB_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_GET_BIT_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_READ_RADIX_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SUB_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_RAND_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SUB_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_LONG_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_INIT_MULTI_C -+--->BN_MP_GCD_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_KRONECKER_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_GET_BIT_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_MULTI_C - - -BN_MP_RADIX_SIZE_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_RADIX_SMAP_C - - -BN_MP_RAND_C -+--->BN_MP_ZERO_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C - - -BN_MP_READ_RADIX_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_READ_SIGNED_BIN_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_READ_UNSIGNED_BIN_C -+--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_REDUCE_2K_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_L_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_SETUP_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_REDUCE_2K_SETUP_L_C -+--->BN_MP_INIT_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_COUNT_BITS_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_MUL_HIGH_DIGS_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_IS_2K_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_INIT_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_COUNT_BITS_C - - -BN_MP_REDUCE_IS_2K_L_C - - -BN_MP_REDUCE_SETUP_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C - - -BN_MP_RSHD_C -+--->BN_MP_ZERO_C - - -BN_MP_SET_C -+--->BN_MP_ZERO_C - - -BN_MP_SET_DOUBLE_C -+--->BN_MP_SET_LONG_LONG_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SET_INT_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_SET_LONG_C - - -BN_MP_SET_LONG_LONG_C - - -BN_MP_SHRINK_C - - -BN_MP_SIGNED_BIN_SIZE_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C - - -BN_MP_SQRMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C - - -BN_MP_SQRTMOD_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_ZERO_C -+--->BN_MP_JACOBI_C -| +--->BN_MP_KRONECKER_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_EXPTMOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INVMOD_C -| | +--->BN_FAST_MP_INVMOD_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INVMOD_SLOW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_REDUCE_IS_2K_L_C -| +--->BN_S_MP_EXPTMOD_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_REDUCE_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_L_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DR_IS_MODULUS_C -| +--->BN_MP_REDUCE_IS_2K_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_EXPTMOD_FAST_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_MONTGOMERY_SETUP_C -| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_DR_SETUP_C -| | +--->BN_MP_DR_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_REDUCE_2K_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MULMOD_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_SET_INT_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_SQRMOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -+--->BN_MP_MULMOD_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -+--->BN_MP_SET_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_SQRT_C -+--->BN_MP_N_ROOT_C -| +--->BN_MP_N_ROOT_EX_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_EXPT_D_EX_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_RSHD_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_SQR_C -+--->BN_MP_TOOM_SQR_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_ADD_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_SQR_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_SUBMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C - - -BN_MP_SUB_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SUB_D_C -+--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_TC_AND_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_SET_INT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_INT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_AND_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C - - -BN_MP_TC_DIV_2D_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_TC_OR_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_SET_INT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_INT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_OR_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C - - -BN_MP_TC_XOR_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_SET_INT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_INT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_XOR_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C - - -BN_MP_TOOM_MUL_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_TOOM_SQR_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SQR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_TORADIX_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_TORADIX_N_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_TO_SIGNED_BIN_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C - - -BN_MP_TO_SIGNED_BIN_N_C -+--->BN_MP_SIGNED_BIN_SIZE_C -| +--->BN_MP_UNSIGNED_BIN_SIZE_C -| | +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_SIGNED_BIN_C -| +--->BN_MP_TO_UNSIGNED_BIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C - - -BN_MP_TO_UNSIGNED_BIN_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_TO_UNSIGNED_BIN_N_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C - - -BN_MP_UNSIGNED_BIN_SIZE_C -+--->BN_MP_COUNT_BITS_C - - -BN_MP_XOR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_ZERO_C - - -BN_PRIME_TAB_C - - -BN_REVERSE_C - - -BN_S_MP_ADD_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_S_MP_EXPTMOD_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_SETUP_L_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_L_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_EXCH_C - - -BN_S_MP_MUL_DIGS_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_S_MP_MUL_HIGH_DIGS_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_S_MP_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_S_MP_SUB_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - diff --git a/libtommath/changes.txt b/libtommath/changes.txt index aa0c64c..ebf7382 100644 --- a/libtommath/changes.txt +++ b/libtommath/changes.txt @@ -1,3 +1,40 @@ +XXX XXth, 2019 +v1.2.0 + -- A huge refactoring of the library happened - renaming, + deprecating and replacing existing functions by improved API's. + + All deprecated functions, macros and symbols are only marked as such + so this version is still API and ABI compatible to v1.x. + + -- Daniel Mendler was pushing for those changes and contributing a load of patches, + refactorings, code reviews and whatnotelse. + -- Christoph Zurnieden re-worked internals of the library, improved the performance, + did code reviews and wrote documentation. + -- Francois Perrad did some refactoring and took again care of linting the sources and + provided all fixes. + -- Jan Nijtmans, Karel Miko and Joachim Breitner contributed various patches. + + -- Private symbols can now be hidden for the shared library builds, disabled by default. + -- All API's follow a single code style, are prefixed the same etc. + -- Unified, safer and improved API's + -- Less magic numbers - return values (where appropriate) and most flags are now enums, + this was implemented in a backwards compatible way where return values were int. + -- API's with return values are now by default marked as "warn on unsused result", this + can be disabled if required (which will most likely hide bugs), c.f. MP_WUR in tommath.h + -- Provide a whole set of setters&getters for different primitive types (long, uint32_t, etc.) + -- All those primitive setters are now optimized. + -- It's possible to automatically tune the cutoff values for Karatsuba&Toom-Cook + -- The custom allocators which were formerly known as XMALLOC(), XFREE() etc. are now available + as MP_MALLOC(), MP_REALLOC(), MP_CALLOC() and MP_FREE(). MP_REALLOC() and MP_FREE() now also + provide the allocated size to ease the usage of simple allocators without tracking. + -- Building is now also possible with MSVC 2015, 2017 and 2019 (use makefile.msvc) + -- Added mp_decr() and mp_incr() + -- Added mp_log_u32() + -- Improved prime-checking + -- Improved Toom-Cook multiplication + -- Removed the LTM book (`make docs` now builds the user manual) + + Jan 28th, 2019 v1.1.0 -- Christoph Zurnieden contributed FIPS 186.4 compliant diff --git a/libtommath/dep.pl b/libtommath/dep.pl deleted file mode 100755 index dc70341..0000000 --- a/libtommath/dep.pl +++ /dev/null @@ -1,194 +0,0 @@ -#!/usr/bin/perl -# -# Walk through source, add labels and make classes -# -use strict; -use warnings; - -my %deplist; - -#open class file and write preamble -open(my $class, '>', 'tommath_class.h') or die "Couldn't open tommath_class.h for writing\n"; -print {$class} << 'EOS'; -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ - -#if !(defined(LTM1) && defined(LTM2) && defined(LTM3)) -#if defined(LTM2) -# define LTM3 -#endif -#if defined(LTM1) -# define LTM2 -#endif -#define LTM1 -#if defined(LTM_ALL) -EOS - -foreach my $filename (glob 'bn*.c') { - my $define = $filename; - - print "Processing $filename\n"; - - # convert filename to upper case so we can use it as a define - $define =~ tr/[a-z]/[A-Z]/; - $define =~ tr/\./_/; - print {$class} << "EOS"; -# define $define -EOS - - # now copy text and apply #ifdef as required - my $apply = 0; - open(my $src, '<', $filename); - open(my $out, '>', 'tmp'); - - # first line will be the #ifdef - my $line = <$src>; - if ($line =~ /include/) { - print {$out} $line; - } else { - print {$out} << "EOS"; -#include "tommath_private.h" -#ifdef $define -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ -$line -EOS - $apply = 1; - } - while (<$src>) { - if (!($_ =~ /tommath\.h/)) { - print {$out} $_; - } - } - if ($apply == 1) { - print {$out} << 'EOS'; -#endif -/* ref: \\HEAD -> master, tag: v1.1.0 */ -/* git commit: \\08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: \\2019-01-28 20:32:32 +0100 */ -EOS - } - close $src; - close $out; - - unlink $filename; - rename 'tmp', $filename; -} -print {$class} << 'EOS'; -#endif -EOS - -# now do classes - -foreach my $filename (glob 'bn*.c') { - open(my $src, '<', $filename) or die "Can't open source file!\n"; - - # convert filename to upper case so we can use it as a define - $filename =~ tr/[a-z]/[A-Z]/; - $filename =~ tr/\./_/; - - print {$class} << "EOS"; -#if defined($filename) -EOS - my $list = $filename; - - # scan for mp_* and make classes - while (<$src>) { - my $line = $_; - while ($line =~ m/(fast_)*(s_)*mp\_[a-z_0-9]*/) { - $line = $'; - # now $& is the match, we want to skip over LTM keywords like - # mp_int, mp_word, mp_digit - if (!($& eq 'mp_digit') && !($& eq 'mp_word') && !($& eq 'mp_int') && !($& eq 'mp_min_u32')) { - my $a = $&; - $a =~ tr/[a-z]/[A-Z]/; - $a = 'BN_' . $a . '_C'; - if (!($list =~ /$a/)) { - print {$class} << "EOS"; -# define $a -EOS - } - $list = $list . ',' . $a; - } - } - } - $deplist{$filename} = $list; - - print {$class} << 'EOS'; -#endif - -EOS - close $src; -} - -print {$class} << 'EOS'; -#ifdef LTM3 -# define LTM_LAST -#endif - -#include -#include -#else -# define LTM_LAST -#endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ -EOS -close $class; - -#now let's make a cool call graph... - -open(my $out, '>', 'callgraph.txt'); -my $indent = 0; -my $list; -foreach (sort keys %deplist) { - $list = ''; - draw_func($deplist{$_}); - print {$out} "\n\n"; -} -close $out; - -sub draw_func -{ - my @funcs = split ',', $_[0]; - if ($list =~ /$funcs[0]/) { - return; - } else { - $list = $list . $funcs[0]; - } - if ($indent == 0) { - } elsif ($indent >= 1) { - print {$out} '| ' x ($indent - 1) . '+--->'; - } - print {$out} $funcs[0] . "\n"; - shift @funcs; - my $temp = $list; - foreach my $i (@funcs) { - ++$indent; - draw_func($deplist{$i}) if exists $deplist{$i}; - --$indent; - } - $list = $temp; - return; -} - diff --git a/libtommath/filter.pl b/libtommath/filter.pl deleted file mode 100755 index ad980e5..0000000 --- a/libtommath/filter.pl +++ /dev/null @@ -1,34 +0,0 @@ -#!/usr/bin/perl - -# we want to filter every between START_INS and END_INS out and then insert crap from another file (this is fun) - -use strict; -use warnings; - -open(my $src, '<', shift); -open(my $ins, '<', shift); -open(my $tmp, '>', 'tmp.delme'); - -my $l = 0; -while (<$src>) { - if ($_ =~ /START_INS/) { - print {$tmp} $_; - $l = 1; - while (<$ins>) { - print {$tmp} $_; - } - close $ins; - } elsif ($_ =~ /END_INS/) { - print {$tmp} $_; - $l = 0; - } elsif ($l == 0) { - print {$tmp} $_; - } -} - -close $tmp; -close $src; - -# ref: $Format:%D$ -# git commit: $Format:%H$ -# commit time: $Format:%ai$ diff --git a/libtommath/genlist.sh b/libtommath/genlist.sh deleted file mode 100755 index 22048cc..0000000 --- a/libtommath/genlist.sh +++ /dev/null @@ -1,8 +0,0 @@ -#!/bin/bash - -export a=`find . -maxdepth 1 -type f -name '*.c' | sort | sed -e 'sE\./EE' | sed -e 's/\.c/\.o/' | xargs` -perl ./parsenames.pl OBJECTS "$a" - -# ref: $Format:%D$ -# git commit: $Format:%H$ -# commit time: $Format:%ai$ diff --git a/libtommath/helper.pl b/libtommath/helper.pl index 8ab9878..2f06165 100755 --- a/libtommath/helper.pl +++ b/libtommath/helper.pl @@ -25,9 +25,15 @@ sub write_file { return; } +sub sanitize_comments { + my($content) = @_; + $content =~ s{/\*(.*?)\*/}{my $x=$1; $x =~ s/\w/x/g; "/*$x*/";}egs; + return $content; +} + sub check_source { my @all_files = ( - bsd_glob("makefile*"), + bsd_glob("Makefile*"), bsd_glob("*.{h,c,sh,pl}"), bsd_glob("*/*.{h,c,sh,pl}"), ); @@ -37,6 +43,7 @@ sub check_source { my $troubles = {}; my $lineno = 1; my $content = read_file($file); + $content = sanitize_comments $content; push @{$troubles->{crlf_line_end}}, '?' if $content =~ /\r/; for my $l (split /\n/, $content) { push @{$troubles->{merge_conflict}}, $lineno if $l =~ /^(<<<<<<<|=======|>>>>>>>)([^<=>]|$)/; @@ -81,22 +88,8 @@ sub check_source { sub check_comments { my $fails = 0; my $first_comment = <<'MARKER'; -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ -MARKER - my $last_comment = <<'MARKER'; -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ MARKER #my @all_files = (bsd_glob("*.{h,c}"), bsd_glob("*/*.{h,c}")); my @all_files = (bsd_glob("*.{h,c}")); @@ -106,15 +99,35 @@ MARKER warn "[first_comment] $f\n"; $fails++; } - if ($txt !~ /\Q$last_comment\E\s*$/s) { - warn "[last_comment] $f\n"; - $fails++; - } } warn( $fails > 0 ? "check-comments: FAIL $fails\n" : "check-comments: PASS\n" ); return $fails; } +sub check_doc { + my $fails = 0; + my $tex = read_file('doc/bn.tex'); + my $tmh = read_file('tommath.h'); + my @functions = $tmh =~ /\n\s*[a-zA-Z0-9_* ]+?(mp_[a-z0-9_]+)\s*\([^\)]+\)\s*;/sg; + my @macros = $tmh =~ /\n\s*#define\s+([a-z0-9_]+)\s*\([^\)]+\)/sg; + for my $n (sort @functions) { + (my $nn = $n) =~ s/_/\\_/g; # mp_sub_d >> mp\_sub\_d + if ($tex !~ /index\Q{$nn}\E/) { + warn "[missing_doc_for_function] $n\n"; + $fails++ + } + } + for my $n (sort @macros) { + (my $nn = $n) =~ s/_/\\_/g; # mp_iszero >> mp\_iszero + if ($tex !~ /index\Q{$nn}\E/) { + warn "[missing_doc_for_macro] $n\n"; + $fails++ + } + } + warn( $fails > 0 ? "check_doc: FAIL $fails\n" : "check-doc: PASS\n" ); + return $fails; +} + sub prepare_variable { my ($varname, @list) = @_; my $output = "$varname="; @@ -209,16 +222,6 @@ sub patch_file { return $content; } -sub version_from_tomcrypt_h { - my $h = read_file(shift); - if ($h =~ /\n#define\s*SCRYPT\s*"([0-9]+)\.([0-9]+)\.([0-9]+)(.*)"/s) { - return "VERSION_PC=$1.$2.$3", "VERSION_LT=1:1", "VERSION=$1.$2.$3$4", "PROJECT_NUMBER=$1.$2.$3$4"; - } - else { - die "#define SCRYPT not found in tomcrypt.h"; - } -} - sub process_makefiles { my $write = shift; my $changed_count = 0; @@ -249,33 +252,218 @@ sub process_makefiles { } } +sub draw_func +{ + my ($deplist, $depmap, $out, $indent, $funcslist) = @_; + my @funcs = split ',', $funcslist; + # try this if you want to have a look at a minimized version of the callgraph without all the trivial functions + #if ($deplist =~ /$funcs[0]/ || $funcs[0] =~ /BN_MP_(ADD|SUB|CLEAR|CLEAR_\S+|DIV|MUL|COPY|ZERO|GROW|CLAMP|INIT|INIT_\S+|SET|ABS|CMP|CMP_D|EXCH)_C/) { + if ($deplist =~ /$funcs[0]/) { + return $deplist; + } else { + $deplist = $deplist . $funcs[0]; + } + if ($indent == 0) { + } elsif ($indent >= 1) { + print {$out} '| ' x ($indent - 1) . '+--->'; + } + print {$out} $funcs[0] . "\n"; + shift @funcs; + my $olddeplist = $deplist; + foreach my $i (@funcs) { + $deplist = draw_func($deplist, $depmap, $out, $indent + 1, ${$depmap}{$i}) if exists ${$depmap}{$i}; + } + return $olddeplist; +} + +sub update_dep +{ + #open class file and write preamble + open(my $class, '>', 'tommath_class.h') or die "Couldn't open tommath_class.h for writing\n"; + print {$class} << 'EOS'; +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + +#if !(defined(LTM1) && defined(LTM2) && defined(LTM3)) +#define LTM_INSIDE +#if defined(LTM2) +# define LTM3 +#endif +#if defined(LTM1) +# define LTM2 +#endif +#define LTM1 +#if defined(LTM_ALL) +EOS + + foreach my $filename (glob 'bn*.c') { + my $define = $filename; + + print "Processing $filename\n"; + + # convert filename to upper case so we can use it as a define + $define =~ tr/[a-z]/[A-Z]/; + $define =~ tr/\./_/; + print {$class} "# define $define\n"; + + # now copy text and apply #ifdef as required + my $apply = 0; + open(my $src, '<', $filename); + open(my $out, '>', 'tmp'); + + # first line will be the #ifdef + my $line = <$src>; + if ($line =~ /include/) { + print {$out} $line; + } else { + print {$out} << "EOS"; +#include "tommath_private.h" +#ifdef $define +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ +$line +EOS + $apply = 1; + } + while (<$src>) { + if ($_ !~ /tommath\.h/) { + print {$out} $_; + } + } + if ($apply == 1) { + print {$out} "#endif\n"; + } + close $src; + close $out; + + unlink $filename; + rename 'tmp', $filename; + } + print {$class} "#endif\n#endif\n"; + + # now do classes + my %depmap; + foreach my $filename (glob 'bn*.c') { + my $content; + if ($filename =~ "bn_deprecated.c") { + open(my $src, '<', $filename) or die "Can't open source file!\n"; + read $src, $content, -s $src; + close $src; + } else { + my $cc = $ENV{'CC'} || 'gcc'; + $content = `$cc -E -x c -DLTM_ALL $filename`; + $content =~ s/^# 1 "$filename".*?^# 2 "$filename"//ms; + } + + # convert filename to upper case so we can use it as a define + $filename =~ tr/[a-z]/[A-Z]/; + $filename =~ tr/\./_/; + + print {$class} "#if defined($filename)\n"; + my $list = $filename; + + # strip comments + $content =~ s{/\*.*?\*/}{}gs; + + # scan for mp_* and make classes + my @deps = (); + foreach my $line (split /\n/, $content) { + while ($line =~ /(fast_)?(s_)?mp\_[a-z_0-9]*((?=\;)|(?=\())|(?<=\()mp\_[a-z_0-9]*(?=\()/g) { + my $a = $&; + next if $a eq "mp_err"; + $a =~ tr/[a-z]/[A-Z]/; + $a = 'BN_' . $a . '_C'; + push @deps, $a; + } + } + @deps = sort(@deps); + foreach my $a (@deps) { + if ($list !~ /$a/) { + print {$class} "# define $a\n"; + } + $list = $list . ',' . $a; + } + $depmap{$filename} = $list; + + print {$class} "#endif\n\n"; + } + + print {$class} << 'EOS'; +#ifdef LTM_INSIDE +#undef LTM_INSIDE +#ifdef LTM3 +# define LTM_LAST +#endif + +#include "tommath_superclass.h" +#include "tommath_class.h" +#else +# define LTM_LAST +#endif +EOS + close $class; + + #now let's make a cool call graph... + + open(my $out, '>', 'callgraph.txt'); + foreach (sort keys %depmap) { + draw_func("", \%depmap, $out, 0, $depmap{$_}); + print {$out} "\n\n"; + } + close $out; + + return 0; +} + +sub generate_def { + my @files = split /\n/, `git ls-files`; + @files = grep(/\.c/, @files); + @files = map { my $x = $_; $x =~ s/^bn_|\.c$//g; $x; } @files; + @files = grep(!/mp_radix_smap/, @files); + + push(@files, qw(mp_set_int mp_set_long mp_set_long_long mp_get_int mp_get_long mp_get_long_long mp_init_set_int)); + + my $files = join("\n ", sort(grep(/^mp_/, @files))); + write_file "tommath.def", "; libtommath +; +; Use this command to produce a 32-bit .lib file, for use in any MSVC version +; lib -machine:X86 -name:libtommath.dll -def:tommath.def -out:tommath.lib +; Use this command to produce a 64-bit .lib file, for use in any MSVC version +; lib -machine:X64 -name:libtommath.dll -def:tommath.def -out:tommath.lib +; +EXPORTS + $files +"; + return 0; +} + sub die_usage { die <<"MARKER"; usage: $0 -s OR $0 --check-source $0 -o OR $0 --check-comments $0 -m OR $0 --check-makefiles $0 -a OR $0 --check-all - $0 -u OR $0 --update-makefiles + $0 -u OR $0 --update-files MARKER } GetOptions( "s|check-source" => \my $check_source, "o|check-comments" => \my $check_comments, "m|check-makefiles" => \my $check_makefiles, + "d|check-doc" => \my $check_doc, "a|check-all" => \my $check_all, - "u|update-makefiles" => \my $update_makefiles, + "u|update-files" => \my $update_files, "h|help" => \my $help ) or die_usage; my $failure; $failure ||= check_source() if $check_all || $check_source; $failure ||= check_comments() if $check_all || $check_comments; +$failure ||= check_doc() if $check_doc; # temporarily excluded from --check-all $failure ||= process_makefiles(0) if $check_all || $check_makefiles; -$failure ||= process_makefiles(1) if $update_makefiles; +$failure ||= process_makefiles(1) if $update_files; +$failure ||= update_dep() if $update_files; +$failure ||= generate_def() if $update_files; die_usage unless defined $failure; exit $failure ? 1 : 0; - -# ref: HEAD -> master, tag: v1.1.0 -# git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 -# commit time: 2019-01-28 20:32:32 +0100 diff --git a/libtommath/makefile_include.mk b/libtommath/makefile_include.mk index e39aa1e..ceb2d44 100644 --- a/libtommath/makefile_include.mk +++ b/libtommath/makefile_include.mk @@ -3,9 +3,9 @@ # #version of library -VERSION=1.1.0 -VERSION_PC=1.1.0 -VERSION_SO=2:0:1 +VERSION=1.2.0 +VERSION_PC=1.2.0 +VERSION_SO=3:0:2 PLATFORM := $(shell uname | sed -e 's/_.*//') @@ -48,52 +48,71 @@ else endif endif -CFLAGS += -I./ -Wall -Wsign-compare -Wextra -Wshadow +LTM_CFLAGS += -I./ -Wall -Wsign-compare -Wextra -Wshadow + +ifdef SANITIZER +LTM_CFLAGS += -fsanitize=undefined -fno-sanitize-recover=all -fno-sanitize=float-divide-by-zero +endif ifndef NO_ADDTL_WARNINGS # additional warnings -CFLAGS += -Wsystem-headers -Wdeclaration-after-statement -Wbad-function-cast -Wcast-align -CFLAGS += -Wstrict-prototypes -Wpointer-arith +LTM_CFLAGS += -Wdeclaration-after-statement -Wbad-function-cast -Wcast-align +LTM_CFLAGS += -Wstrict-prototypes -Wpointer-arith +endif + +ifdef CONV_WARNINGS +LTM_CFLAGS += -std=c89 -Wconversion -Wsign-conversion +ifeq ($(CONV_WARNINGS), strict) +LTM_CFLAGS += -DMP_USE_ENUMS -Wc++-compat +endif +else +LTM_CFLAGS += -Wsystem-headers endif ifdef COMPILE_DEBUG #debug -CFLAGS += -g3 -else +LTM_CFLAGS += -g3 +endif ifdef COMPILE_SIZE #for size -CFLAGS += -Os +LTM_CFLAGS += -Os else ifndef IGNORE_SPEED #for speed -CFLAGS += -O3 -funroll-loops +LTM_CFLAGS += -O3 -funroll-loops #x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer +LTM_CFLAGS += -fomit-frame-pointer endif endif # COMPILE_SIZE -endif # COMPILE_DEBUG ifneq ($(findstring clang,$(CC)),) -CFLAGS += -Wno-typedef-redefinition -Wno-tautological-compare -Wno-builtin-requires-header +LTM_CFLAGS += -Wno-typedef-redefinition -Wno-tautological-compare -Wno-builtin-requires-header endif ifneq ($(findstring mingw,$(CC)),) -CFLAGS += -Wno-shadow +LTM_CFLAGS += -Wno-shadow endif ifeq ($(PLATFORM), Darwin) -CFLAGS += -Wno-nullability-completeness +LTM_CFLAGS += -Wno-nullability-completeness endif ifeq ($(PLATFORM), CYGWIN) LIBTOOLFLAGS += -no-undefined endif +# add in the standard FLAGS +LTM_CFLAGS += $(CFLAGS) +LTM_LFLAGS += $(LFLAGS) +LTM_LDFLAGS += $(LDFLAGS) +LTM_LIBTOOLFLAGS += $(LIBTOOLFLAGS) + + ifeq ($(PLATFORM),FreeBSD) _ARCH := $(shell sysctl -b hw.machine_arch) else - _ARCH := $(shell arch) + _ARCH := $(shell uname -m) endif # adjust coverage set @@ -105,10 +124,8 @@ else COVERAGE_APP = ./test endif -HEADERS_PUB=tommath.h tommath_class.h tommath_superclass.h -HEADERS=tommath_private.h $(HEADERS_PUB) - -test_standalone: CFLAGS+=-DLTM_DEMO_TEST_VS_MTEST=0 +HEADERS_PUB=tommath.h +HEADERS=tommath_private.h tommath_class.h tommath_superclass.h tommath_cutoffs.h $(HEADERS_PUB) #LIBPATH The directory for libtommath to be installed to. #INCPATH The directory to install the header files for libtommath. @@ -121,9 +138,9 @@ DATAPATH ?= $(PREFIX)/share/doc/libtommath/pdf #make the code coverage of the library # -coverage: CFLAGS += -fprofile-arcs -ftest-coverage -DTIMING_NO_LOGS -coverage: LFLAGS += -lgcov -coverage: LDFLAGS += -lgcov +coverage: LTM_CFLAGS += -fprofile-arcs -ftest-coverage -DTIMING_NO_LOGS +coverage: LTM_LFLAGS += -lgcov +coverage: LTM_LDFLAGS += -lgcov coverage: $(COVERAGE) $(COVERAGE_APP) @@ -142,8 +159,7 @@ cleancov-clean: cleancov: cleancov-clean clean clean: - rm -f *.gcda *.gcno *.gcov *.bat *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test timing mpitest mtest/mtest mtest/mtest.exe \ - *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la - rm -rf .libs/ -# ${MAKE} -C etc/ clean MAKE=${MAKE} -# ${MAKE} -C doc/ clean MAKE=${MAKE} + rm -f *.gcda *.gcno *.gcov *.bat *.o *.a *.obj *.lib *.exe *.dll etclib/*.o \ + demo/*.o test timing mtest_opponent mtest/mtest mtest/mtest.exe tuning_list \ + *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la + rm -rf .libs/ demo/.libs diff --git a/libtommath/mess.sh b/libtommath/mess.sh deleted file mode 100644 index bf639ce..0000000 --- a/libtommath/mess.sh +++ /dev/null @@ -1,4 +0,0 @@ -#!/bin/bash -if cvs log $1 >/dev/null 2>/dev/null; then exit 0; else echo "$1 shouldn't be here" ; exit 1; fi - - diff --git a/libtommath/parsenames.pl b/libtommath/parsenames.pl deleted file mode 100755 index 6703971..0000000 --- a/libtommath/parsenames.pl +++ /dev/null @@ -1,28 +0,0 @@ -#!/usr/bin/perl -# -# Splits the list of files and outputs for makefile type files -# wrapped at 80 chars -# -# Tom St Denis -use strict; -use warnings; - -my @a = split ' ', $ARGV[1]; -my $b = $ARGV[0] . '='; -my $len = length $b; -print $b; -foreach my $obj (@a) { - $len = $len + length $obj; - $obj =~ s/\*/\$/; - if ($len > 100) { - printf "\\\n"; - $len = length $obj; - } - print $obj . ' '; -} - -print "\n\n"; - -# ref: $Format:%D$ -# git commit: $Format:%H$ -# commit time: $Format:%ai$ diff --git a/libtommath/poster.out b/libtommath/poster.out deleted file mode 100644 index e69de29..0000000 diff --git a/libtommath/poster.tex b/libtommath/poster.tex deleted file mode 100644 index e7388f4..0000000 --- a/libtommath/poster.tex +++ /dev/null @@ -1,35 +0,0 @@ -\documentclass[landscape,11pt]{article} -\usepackage{amsmath, amssymb} -\usepackage{hyperref} -\begin{document} -\hspace*{-3in} -\begin{tabular}{llllll} -$c = a + b$ & {\tt mp\_add(\&a, \&b, \&c)} & $b = 2a$ & {\tt mp\_mul\_2(\&a, \&b)} & \\ -$c = a - b$ & {\tt mp\_sub(\&a, \&b, \&c)} & $b = a/2$ & {\tt mp\_div\_2(\&a, \&b)} & \\ -$c = ab $ & {\tt mp\_mul(\&a, \&b, \&c)} & $c = 2^ba$ & {\tt mp\_mul\_2d(\&a, b, \&c)} \\ -$b = a^2 $ & {\tt mp\_sqr(\&a, \&b)} & $c = a/2^b, d = a \mod 2^b$ & {\tt mp\_div\_2d(\&a, b, \&c, \&d)} \\ -$c = \lfloor a/b \rfloor, d = a \mod b$ & {\tt mp\_div(\&a, \&b, \&c, \&d)} & $c = a \mod 2^b $ & {\tt mp\_mod\_2d(\&a, b, \&c)} \\ - && \\ -$a = b $ & {\tt mp\_set\_int(\&a, b)} & $c = a \vee b$ & {\tt mp\_or(\&a, \&b, \&c)} \\ -$b = a $ & {\tt mp\_copy(\&a, \&b)} & $c = a \wedge b$ & {\tt mp\_and(\&a, \&b, \&c)} \\ - && $c = a \oplus b$ & {\tt mp\_xor(\&a, \&b, \&c)} \\ - & \\ -$b = -a $ & {\tt mp\_neg(\&a, \&b)} & $d = a + b \mod c$ & {\tt mp\_addmod(\&a, \&b, \&c, \&d)} \\ -$b = |a| $ & {\tt mp\_abs(\&a, \&b)} & $d = a - b \mod c$ & {\tt mp\_submod(\&a, \&b, \&c, \&d)} \\ - && $d = ab \mod c$ & {\tt mp\_mulmod(\&a, \&b, \&c, \&d)} \\ -Compare $a$ and $b$ & {\tt mp\_cmp(\&a, \&b)} & $c = a^2 \mod b$ & {\tt mp\_sqrmod(\&a, \&b, \&c)} \\ -Is Zero? & {\tt mp\_iszero(\&a)} & $c = a^{-1} \mod b$ & {\tt mp\_invmod(\&a, \&b, \&c)} \\ -Is Even? & {\tt mp\_iseven(\&a)} & $d = a^b \mod c$ & {\tt mp\_exptmod(\&a, \&b, \&c, \&d)} \\ -Is Odd ? & {\tt mp\_isodd(\&a)} \\ -&\\ -$\vert \vert a \vert \vert$ & {\tt mp\_unsigned\_bin\_size(\&a)} & $res$ = 1 if $a$ prime to $t$ rounds? & {\tt mp\_prime\_is\_prime(\&a, t, \&res)} \\ -$buf \leftarrow a$ & {\tt mp\_to\_unsigned\_bin(\&a, buf)} & Next prime after $a$ to $t$ rounds. & {\tt mp\_prime\_next\_prime(\&a, t, bbs\_style)} \\ -$a \leftarrow buf[0..len-1]$ & {\tt mp\_read\_unsigned\_bin(\&a, buf, len)} \\ -&\\ -$b = \sqrt{a}$ & {\tt mp\_sqrt(\&a, \&b)} & $c = \mbox{gcd}(a, b)$ & {\tt mp\_gcd(\&a, \&b, \&c)} \\ -$c = a^{1/b}$ & {\tt mp\_n\_root(\&a, b, \&c)} & $c = \mbox{lcm}(a, b)$ & {\tt mp\_lcm(\&a, \&b, \&c)} \\ -&\\ -Greater Than & MP\_GT & Equal To & MP\_EQ \\ -Less Than & MP\_LT & Bits per digit & DIGIT\_BIT \\ -\end{tabular} -\end{document} diff --git a/libtommath/pretty.build b/libtommath/pretty.build deleted file mode 100644 index a708b8a..0000000 --- a/libtommath/pretty.build +++ /dev/null @@ -1,66 +0,0 @@ -#!/bin/perl -w -# -# Cute little builder for perl -# Total waste of development time... -# -# This will build all the object files and then the archive .a file -# requires GCC, GNU make and a sense of humour. -# -# Tom St Denis -use strict; - -my $count = 0; -my $starttime = time; -my $rate = 0; -print "Scanning for source files...\n"; -foreach my $filename (glob "*.c") { - ++$count; -} -print "Source files to build: $count\nBuilding...\n"; -my $i = 0; -my $lines = 0; -my $filesbuilt = 0; -foreach my $filename (glob "*.c") { - printf("Building %3.2f%%, ", (++$i/$count)*100.0); - if ($i % 4 == 0) { print "/, "; } - if ($i % 4 == 1) { print "-, "; } - if ($i % 4 == 2) { print "\\, "; } - if ($i % 4 == 3) { print "|, "; } - if ($rate > 0) { - my $tleft = ($count - $i) / $rate; - my $tsec = $tleft%60; - my $tmin = ($tleft/60)%60; - my $thour = ($tleft/3600)%60; - printf("%2d:%02d:%02d left, ", $thour, $tmin, $tsec); - } - my $cnt = ($i/$count)*30.0; - my $x = 0; - print "["; - for (; $x < $cnt; $x++) { print "#"; } - for (; $x < 30; $x++) { print " "; } - print "]\r"; - my $tmp = $filename; - $tmp =~ s/\.c/".o"/ge; - if (open(SRC, "<$tmp")) { - close SRC; - } else { - !system("make $tmp > /dev/null 2>/dev/null") or die "\nERROR: Failed to make $tmp!!!\n"; - open( SRC, "<$filename" ) or die "Couldn't open $filename for reading: $!"; - ++$lines while (); - close SRC or die "Error closing $filename after reading: $!"; - ++$filesbuilt; - } - - # update timer - if (time != $starttime) { - my $delay = time - $starttime; - $rate = $i/$delay; - } -} - -# finish building the library -printf("\nFinished building source (%d seconds, %3.2f files per second).\n", time - $starttime, $rate); -print "Compiled approximately $filesbuilt files and $lines lines of code.\n"; -print "Doing final make (building archive...)\n"; -!system("make > /dev/null 2>/dev/null") or die "\nERROR: Failed to perform last make command!!!\n"; -print "done.\n"; \ No newline at end of file diff --git a/libtommath/testme.sh b/libtommath/testme.sh index a8180bd..40fa32d 100755 --- a/libtommath/testme.sh +++ b/libtommath/testme.sh @@ -4,6 +4,7 @@ # 0 success # 128 a test failed # >0 the number of timed-out tests +# 255 parsing of parameters failed set -e @@ -21,40 +22,69 @@ _help() { echo "Usage options for $(basename $0) [--with-cc=arg [other options]]" echo - echo "Executing this script without any parameter will only run the default configuration" - echo "that has automatically been determined for the architecture you're running." + echo "Executing this script without any parameter will only run the default" + echo "configuration that has automatically been determined for the" + echo "architecture you're running." echo echo " --with-cc=* The compiler(s) to use for the tests" - echo " This is an option that will be iterated." + echo " This is an option that will be iterated." echo echo " --test-vs-mtest=* Run test vs. mtest for '*' operations." - echo " Only the first of each options will be taken into account." + echo " Only the first of each options will be" + echo " taken into account." echo - echo "To be able to specify options a compiler has to be given." - echo "All options will be tested with all MP_xBIT configurations." + echo "To be able to specify options a compiler has to be given with" + echo "the option --with-cc=compilername" + echo "All other options will be tested with all MP_xBIT configurations." echo - echo " --with-{m64,m32,mx32} The architecture(s) to build and test for," - echo " e.g. --with-mx32." - echo " This is an option that will be iterated, multiple selections are possible." - echo " The mx32 architecture is not supported by clang and will not be executed." + echo " --with-{m64,m32,mx32} The architecture(s) to build and test" + echo " for, e.g. --with-mx32." + echo " This is an option that will be iterated," + echo " multiple selections are possible." + echo " The mx32 architecture is not supported" + echo " by clang and will not be executed." echo echo " --cflags=* Give an option to the compiler," echo " e.g. --cflags=-g" - echo " This is an option that will always be passed as parameter to CC." + echo " This is an option that will always be" + echo " passed as parameter to CC." echo echo " --make-option=* Give an option to make," echo " e.g. --make-option=\"-f makefile.shared\"" - echo " This is an option that will always be passed as parameter to make." + echo " This is an option that will always be" + echo " passed as parameter to make." echo echo " --with-low-mp Also build&run tests with -DMP_{8,16,32}BIT." echo echo " --mtest-real-rand Use real random data when running mtest." echo + echo " --with-valgrind" + echo " --with-valgrind=* Run in valgrind (slow!)." + echo + echo " --with-travis-valgrind Run with valgrind on Travis on specific branches." + echo + echo " --valgrind-options Additional Valgrind options" + echo " Some of the options like e.g.:" + echo " --track-origins=yes add a lot of extra" + echo " runtime and may trigger the 30 minutes" + echo " timeout." + echo echo "Godmode:" echo - echo " --all Choose all architectures and gcc and clang as compilers" + echo " --all Choose all architectures and gcc and clang" + echo " as compilers but does not run valgrind." echo + echo " --format Runs the various source-code formatters" + echo " and generators and checks if the sources" + echo " are clean." + echo + echo " -h" echo " --help This message" + echo + echo " -v" + echo " --version Prints the version. It is just the number" + echo " of git commits to this file, no deeper" + echo " meaning attached" exit 0 } @@ -90,13 +120,49 @@ _make() _runtest() { make clean > /dev/null - _make "$1" "$2" "test_standalone" local _timeout="" which timeout >/dev/null && _timeout="timeout --foreground 90" - echo -e "\rRun test $1 $2" - $_timeout ./test > test_${suffix}.log || _die "running tests" $? + if [[ "$MAKE_OPTIONS" =~ "tune" ]] + then + # "make tune" will run "tune_it.sh" automatically, hence "autotune", but it cannot + # get switched off without some effort, so we just let it run twice for testing purposes + echo -e "\rRun autotune $1 $2" + _make "$1" "$2" "" + $_timeout $TUNE_CMD > test_${suffix}.log || _die "running autotune" $? + else + _make "$1" "$2" "test" + echo -e "\rRun test $1 $2" + $_timeout ./test > test_${suffix}.log || _die "running tests" $? + fi +} + +# This is not much more of a C&P of _runtest with a different timeout +# and the additional valgrind call. +# TODO: merge +_runvalgrind() +{ + make clean > /dev/null + local _timeout="" + # 30 minutes? Yes. Had it at 20 minutes and the Valgrind run needed over 25 minutes. + # A bit too close for comfort. + which timeout >/dev/null && _timeout="timeout --foreground 1800" +echo "MAKE_OPTIONS = \"$MAKE_OPTIONS\"" + if [[ "$MAKE_OPTIONS" =~ "tune" ]] + then +echo "autotune branch" + _make "$1" "$2" "" + # The shell used for /bin/sh is DASH 0.5.7-4ubuntu1 on the author's machine which fails valgrind, so + # we just run on instance of etc/tune with the same options as in etc/tune_it.sh + echo -e "\rRun etc/tune $1 $2 once inside valgrind" + $_timeout $VALGRIND_BIN $VALGRIND_OPTS $TUNE_CMD > test_${suffix}.log || _die "running etc/tune" $? + else + _make "$1" "$2" "test" + echo -e "\rRun test $1 $2 inside valgrind" + $_timeout $VALGRIND_BIN $VALGRIND_OPTS ./test > test_${suffix}.log || _die "running tests" $? + fi } + _banner() { echo "uname="$(uname -a) @@ -121,6 +187,29 @@ CFLAGS="" WITH_LOW_MP="" TEST_VS_MTEST="" MTEST_RAND="" +# timed with an AMD A8-6600K +# 25 minutes +#VALGRIND_OPTS=" --track-origins=yes --leak-check=full --show-leak-kinds=all --error-exitcode=1 " +# 9 minutes (14 minutes with --test-vs-mtest=333333 --mtest-real-rand) +VALGRIND_OPTS=" --leak-check=full --show-leak-kinds=all --error-exitcode=1 " +#VALGRIND_OPTS="" +VALGRIND_BIN="" +CHECK_FORMAT="" +TUNE_CMD="./etc/tune -t -r 10 -L 3" + +alive_pid=0 + +function kill_alive() { + disown $alive_pid || true + kill $alive_pid 2>/dev/null +} + +function start_alive_printing() { + [ "$alive_pid" == "0" ] || return 0; + for i in `seq 1 10` ; do sleep 300 && echo "Tests still in Progress..."; done & + alive_pid=$! + trap kill_alive EXIT +} while [ $# -gt 0 ]; do @@ -134,6 +223,30 @@ do --cflags=*) CFLAGS="$CFLAGS ${1#*=}" ;; + --valgrind-options=*) + VALGRIND_OPTS="$VALGRIND_OPTS ${1#*=}" + ;; + --with-valgrind*) + if [[ ${1#*d} != "" ]] + then + VALGRIND_BIN="${1#*=}" + else + VALGRIND_BIN="valgrind" + fi + start_alive_printing + ;; + --with-travis-valgrind*) + if [[ ("$TRAVIS_BRANCH" == "develop" && "$TRAVIS_PULL_REQUEST" == "false") || "$TRAVIS_BRANCH" == *"valgrind"* || "$TRAVIS_COMMIT_MESSAGE" == *"valgrind"* ]] + then + if [[ ${1#*d} != "" ]] + then + VALGRIND_BIN="${1#*=}" + else + VALGRIND_BIN="valgrind" + fi + start_alive_printing + fi + ;; --make-option=*) MAKE_OPTIONS="$MAKE_OPTIONS ${1#*=}" ;; @@ -145,12 +258,16 @@ do if ! [ "$TEST_VS_MTEST" -eq "$TEST_VS_MTEST" ] 2> /dev/null then echo "--test-vs-mtest Parameter has to be int" - exit -1 + exit 255 fi + start_alive_printing ;; --mtest-real-rand) MTEST_RAND="-DLTM_MTEST_REAL_RAND" ;; + --format) + CHECK_FORMAT="1" + ;; --all) COMPILERS="gcc clang" ARCHFLAGS="-m64 -m32 -mx32" @@ -158,6 +275,10 @@ do --help | -h) _help ;; + --version | -v) + echo $(git rev-list HEAD --count -- testme.sh) || echo "Unknown. Please run in original libtommath git repository." + exit 0 + ;; *) echo "Ignoring option ${1}" ;; @@ -165,18 +286,42 @@ do shift done -# default to gcc if no compiler is defined but some other options +function _check_git() { + git update-index --refresh >/dev/null || true + git diff-index --quiet HEAD -- . || ( echo "FAILURE: $*" && exit 1 ) +} + +if [[ "$CHECK_FORMAT" == "1" ]] +then + make astyle + _check_git "make astyle" + perl helper.pl --update-files + _check_git "helper.pl --update-files" + perl helper.pl --check-all + _check_git "helper.pl --check-all" + exit $? +fi + +[[ "$VALGRIND_BIN" == "" ]] && VALGRIND_OPTS="" + +# default to CC environment variable if no compiler is defined but some other options if [[ "$COMPILERS" == "" ]] && [[ "$ARCHFLAGS$MAKE_OPTIONS$CFLAGS" != "" ]] then - COMPILERS="gcc" -# default to gcc and run only default config if no option is given + COMPILERS="$CC" +# default to CC environment variable and run only default config if no option is given elif [[ "$COMPILERS" == "" ]] then - _banner gcc - _runtest "gcc" "" + _banner "$CC" + if [[ "$VALGRIND_BIN" != "" ]] + then + _runvalgrind "$CC" "" + else + _runtest "$CC" "" + fi _exit fi + archflags=( $ARCHFLAGS ) compilers=( $COMPILERS ) @@ -191,21 +336,18 @@ _banner if [[ "$TEST_VS_MTEST" != "" ]] then make clean > /dev/null - _make "${compilers[0]} ${archflags[0]}" "$CFLAGS" "test" + _make "${compilers[0]} ${archflags[0]}" "$CFLAGS" "mtest_opponent" echo _make "gcc" "$MTEST_RAND" "mtest" echo echo "Run test vs. mtest for $TEST_VS_MTEST iterations" - for i in `seq 1 10` ; do sleep 500 && echo alive; done & - alive_pid=$! _timeout="" - which timeout >/dev/null && _timeout="timeout --foreground 900" - $_TIMEOUT ./mtest/mtest $TEST_VS_MTEST | ./test > test.log - disown $alive_pid - kill $alive_pid 2>/dev/null - head -n 5 test.log - tail -n 2 test.log - exit 0 + which timeout >/dev/null && _timeout="timeout --foreground 1800" + $_timeout ./mtest/mtest $TEST_VS_MTEST | $VALGRIND_BIN $VALGRIND_OPTS ./mtest_opponent > valgrind_test.log 2> test_vs_mtest_err.log + retval=$? + head -n 5 valgrind_test.log + tail -n 2 valgrind_test.log + exit $retval fi for i in "${compilers[@]}" @@ -232,12 +374,20 @@ do echo "clang -mx32 tests skipped" continue fi - - _runtest "$i $a" "$CFLAGS" - [ "$WITH_LOW_MP" != "1" ] && continue - _runtest "$i $a" "-DMP_8BIT $CFLAGS" - _runtest "$i $a" "-DMP_16BIT $CFLAGS" - _runtest "$i $a" "-DMP_32BIT $CFLAGS" + if [[ "$VALGRIND_BIN" != "" ]] + then + _runvalgrind "$i $a" "$CFLAGS" + [ "$WITH_LOW_MP" != "1" ] && continue + _runvalgrind "$i $a" "-DMP_8BIT $CFLAGS" + _runvalgrind "$i $a" "-DMP_16BIT $CFLAGS" + _runvalgrind "$i $a" "-DMP_32BIT $CFLAGS" + else + _runtest "$i $a" "$CFLAGS" + [ "$WITH_LOW_MP" != "1" ] && continue + _runtest "$i $a" "-DMP_8BIT $CFLAGS" + _runtest "$i $a" "-DMP_16BIT $CFLAGS" + _runtest "$i $a" "-DMP_32BIT $CFLAGS" + fi done done diff --git a/libtommath/tommath.h b/libtommath/tommath.h index 8b3b907..e87bb08 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -1,30 +1,36 @@ -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + #ifndef BN_H_ #define BN_H_ -#include -#include #include +#include #include -#include "tommath_class.h" +#ifdef LTM_NO_FILE +# warning LTM_NO_FILE has been deprecated, use MP_NO_FILE. +# define MP_NO_FILE +#endif + +#ifndef MP_NO_FILE +# include +#endif + +#ifdef MP_8BIT +# ifdef _MSC_VER +# pragma message("8-bit (MP_8BIT) support is deprecated and will be dropped completely in the next version.") +# else +# warning "8-bit (MP_8BIT) support is deprecated and will be dropped completely in the next version." +# endif +#endif #ifdef __cplusplus extern "C" { #endif /* MS Visual C++ doesn't have a 128bit type for words, so fall back to 32bit MPI's (where words are 64bit) */ -#if defined(_MSC_VER) || defined(__LLP64__) || defined(__e2k__) || defined(__LCC__) +#if (defined(_MSC_VER) || defined(__LLP64__) || defined(__e2k__) || defined(__LCC__)) && !defined(MP_64BIT) # define MP_32BIT #endif @@ -35,8 +41,8 @@ extern "C" { defined(__sparcv9) || defined(__sparc_v9__) || defined(__sparc64__) || \ defined(__ia64) || defined(__ia64__) || defined(__itanium__) || defined(_M_IA64) || \ defined(__LP64__) || defined(_LP64) || defined(__64BIT__) -# if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) -# if defined(__GNUC__) +# if !(defined(MP_64BIT) || defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) +# if defined(__GNUC__) && !defined(__hppa) /* we support 128bit integers only via: __attribute__((mode(TI))) */ # define MP_64BIT # else @@ -46,91 +52,137 @@ extern "C" { # endif #endif +#ifdef MP_DIGIT_BIT +# error Defining MP_DIGIT_BIT is disallowed, use MP_8/16/31/32/64BIT +#endif + /* some default configurations. * - * A "mp_digit" must be able to hold DIGIT_BIT + 1 bits - * A "mp_word" must be able to hold 2*DIGIT_BIT + 1 bits + * A "mp_digit" must be able to hold MP_DIGIT_BIT + 1 bits + * A "mp_word" must be able to hold 2*MP_DIGIT_BIT + 1 bits * * At the very least a mp_digit must be able to hold 7 bits * [any size beyond that is ok provided it doesn't overflow the data type] */ + #ifdef MP_8BIT typedef uint8_t mp_digit; -typedef uint16_t mp_word; -# define MP_SIZEOF_MP_DIGIT 1 -# ifdef DIGIT_BIT -# error You must not define DIGIT_BIT when using MP_8BIT -# endif +typedef uint16_t private_mp_word; +# define MP_DIGIT_BIT 7 #elif defined(MP_16BIT) typedef uint16_t mp_digit; -typedef uint32_t mp_word; -# define MP_SIZEOF_MP_DIGIT 2 -# ifdef DIGIT_BIT -# error You must not define DIGIT_BIT when using MP_16BIT -# endif +typedef uint32_t private_mp_word; +# define MP_DIGIT_BIT 15 #elif defined(MP_64BIT) /* for GCC only on supported platforms */ typedef uint64_t mp_digit; -typedef unsigned long mp_word __attribute__((mode(TI))); -# define DIGIT_BIT 60 +#if defined(__GNUC__) +typedef unsigned long private_mp_word __attribute__((mode(TI))); +#endif +# define MP_DIGIT_BIT 60 #else -/* this is the default case, 28-bit digits */ - -/* this is to make porting into LibTomCrypt easier :-) */ typedef uint32_t mp_digit; -typedef uint64_t mp_word; - +typedef uint64_t private_mp_word; # ifdef MP_31BIT -/* this is an extension that uses 31-bit digits */ -# define DIGIT_BIT 31 +/* + * This is an extension that uses 31-bit digits. + * Please be aware that not all functions support this size, especially s_mp_mul_digs_fast + * will be reduced to work on small numbers only: + * Up to 8 limbs, 248 bits instead of up to 512 limbs, 15872 bits with MP_28BIT. + */ +# define MP_DIGIT_BIT 31 # else /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ -# define DIGIT_BIT 28 +# define MP_DIGIT_BIT 28 # define MP_28BIT # endif #endif -/* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ -#ifndef DIGIT_BIT -# define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ -typedef uint_least32_t mp_min_u32; -#else -typedef mp_digit mp_min_u32; -#endif +/* mp_word is a private type */ +#define mp_word MP_DEPRECATED_PRAGMA("mp_word has been made private") private_mp_word + +#define MP_SIZEOF_MP_DIGIT (MP_DEPRECATED_PRAGMA("MP_SIZEOF_MP_DIGIT has been deprecated, use sizeof (mp_digit)") sizeof (mp_digit)) -#define MP_DIGIT_BIT DIGIT_BIT -#define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1)) +#define MP_MASK ((((mp_digit)1)<<((mp_digit)MP_DIGIT_BIT))-((mp_digit)1)) #define MP_DIGIT_MAX MP_MASK -/* equalities */ +/* Primality generation flags */ +#define MP_PRIME_BBS 0x0001 /* BBS style prime */ +#define MP_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */ +#define MP_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */ + +#define LTM_PRIME_BBS (MP_DEPRECATED_PRAGMA("LTM_PRIME_BBS has been deprecated, use MP_PRIME_BBS") MP_PRIME_BBS) +#define LTM_PRIME_SAFE (MP_DEPRECATED_PRAGMA("LTM_PRIME_SAFE has been deprecated, use MP_PRIME_SAFE") MP_PRIME_SAFE) +#define LTM_PRIME_2MSB_ON (MP_DEPRECATED_PRAGMA("LTM_PRIME_2MSB_ON has been deprecated, use MP_PRIME_2MSB_ON") MP_PRIME_2MSB_ON) + +#ifdef MP_USE_ENUMS +typedef enum { + MP_ZPOS = 0, /* positive */ + MP_NEG = 1 /* negative */ +} mp_sign; +typedef enum { + MP_LT = -1, /* less than */ + MP_EQ = 0, /* equal */ + MP_GT = 1 /* greater than */ +} mp_ord; +typedef enum { + MP_NO = 0, + MP_YES = 1 +} mp_bool; +typedef enum { + MP_OKAY = 0, /* no error */ + MP_ERR = -1, /* unknown error */ + MP_MEM = -2, /* out of mem */ + MP_VAL = -3, /* invalid input */ + MP_ITER = -4, /* maximum iterations reached */ + MP_BUF = -5 /* buffer overflow, supplied buffer too small */ +} mp_err; +typedef enum { + MP_LSB_FIRST = -1, + MP_MSB_FIRST = 1 +} mp_order; +typedef enum { + MP_LITTLE_ENDIAN = -1, + MP_NATIVE_ENDIAN = 0, + MP_BIG_ENDIAN = 1 +} mp_endian; +#else +typedef int mp_sign; +#define MP_ZPOS 0 /* positive integer */ +#define MP_NEG 1 /* negative */ +typedef int mp_ord; #define MP_LT -1 /* less than */ #define MP_EQ 0 /* equal to */ #define MP_GT 1 /* greater than */ - -#define MP_ZPOS 0 /* positive integer */ -#define MP_NEG 1 /* negative */ - -#define MP_OKAY 0 /* ok result */ +typedef int mp_bool; +#define MP_YES 1 +#define MP_NO 0 +typedef int mp_err; +#define MP_OKAY 0 /* no error */ +#define MP_ERR -1 /* unknown error */ #define MP_MEM -2 /* out of mem */ #define MP_VAL -3 /* invalid input */ -#define MP_RANGE MP_VAL -#define MP_ITER -4 /* Max. iterations reached */ - -#define MP_YES 1 /* yes response */ -#define MP_NO 0 /* no response */ - -/* Primality generation flags */ -#define LTM_PRIME_BBS 0x0001 /* BBS style prime */ -#define LTM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */ -#define LTM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */ +#define MP_RANGE (MP_DEPRECATED_PRAGMA("MP_RANGE has been deprecated in favor of MP_VAL") MP_VAL) +#define MP_ITER -4 /* maximum iterations reached */ +#define MP_BUF -5 /* buffer overflow, supplied buffer too small */ +typedef int mp_order; +#define MP_LSB_FIRST -1 +#define MP_MSB_FIRST 1 +typedef int mp_endian; +#define MP_LITTLE_ENDIAN -1 +#define MP_NATIVE_ENDIAN 0 +#define MP_BIG_ENDIAN 1 +#endif -typedef int mp_err; +/* tunable cutoffs */ -/* you'll have to tune these... */ -extern int KARATSUBA_MUL_CUTOFF, - KARATSUBA_SQR_CUTOFF, - TOOM_MUL_CUTOFF, - TOOM_SQR_CUTOFF; +#ifndef MP_FIXED_CUTOFFS +extern int +KARATSUBA_MUL_CUTOFF, +KARATSUBA_SQR_CUTOFF, +TOOM_MUL_CUTOFF, +TOOM_SQR_CUTOFF; +#endif /* define this to use lower memory usage routines (exptmods mostly) */ /* #define MP_LOW_MEM */ @@ -138,107 +190,203 @@ extern int KARATSUBA_MUL_CUTOFF, /* default precision */ #ifndef MP_PREC # ifndef MP_LOW_MEM -# define MP_PREC 32 /* default digits of precision */ +# define PRIVATE_MP_PREC 32 /* default digits of precision */ +# elif defined(MP_8BIT) +# define PRIVATE_MP_PREC 16 /* default digits of precision */ # else -# define MP_PREC 8 /* default digits of precision */ +# define PRIVATE_MP_PREC 8 /* default digits of precision */ # endif +# define MP_PREC (MP_DEPRECATED_PRAGMA("MP_PREC is an internal macro") PRIVATE_MP_PREC) #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ -#define MP_WARRAY (1u << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) +#define PRIVATE_MP_WARRAY (int)(1uLL << (((CHAR_BIT * sizeof(private_mp_word)) - (2 * MP_DIGIT_BIT)) + 1)) +#define MP_WARRAY (MP_DEPRECATED_PRAGMA("MP_WARRAY is an internal macro") PRIVATE_MP_WARRAY) + +#if defined(__GNUC__) && __GNUC__ >= 4 +# define MP_NULL_TERMINATED __attribute__((sentinel)) +#else +# define MP_NULL_TERMINATED +#endif + +/* + * MP_WUR - warn unused result + * --------------------------- + * + * The result of functions annotated with MP_WUR must be + * checked and cannot be ignored. + * + * Most functions in libtommath return an error code. + * This error code must be checked in order to prevent crashes or invalid + * results. + * + * If you still want to avoid the error checks for quick and dirty programs + * without robustness guarantees, you can `#define MP_WUR` before including + * tommath.h, disabling the warnings. + */ +#ifndef MP_WUR +# if defined(__GNUC__) && __GNUC__ >= 4 +# define MP_WUR __attribute__((warn_unused_result)) +# else +# define MP_WUR +# endif +#endif + +#if defined(__GNUC__) && (__GNUC__ * 100 + __GNUC_MINOR__ >= 405) +# define MP_DEPRECATED(x) __attribute__((deprecated("replaced by " #x))) +# define PRIVATE_MP_DEPRECATED_PRAGMA(s) _Pragma(#s) +# define MP_DEPRECATED_PRAGMA(s) PRIVATE_MP_DEPRECATED_PRAGMA(GCC warning s) +#elif defined(_MSC_VER) && _MSC_VER >= 1500 +# define MP_DEPRECATED(x) __declspec(deprecated("replaced by " #x)) +# define MP_DEPRECATED_PRAGMA(s) __pragma(message(s)) +#else +# define MP_DEPRECATED(s) +# define MP_DEPRECATED_PRAGMA(s) +#endif + +#define DIGIT_BIT (MP_DEPRECATED_PRAGMA("DIGIT_BIT macro is deprecated, MP_DIGIT_BIT instead") MP_DIGIT_BIT) +#define USED(m) (MP_DEPRECATED_PRAGMA("USED macro is deprecated, use z->used instead") (m)->used) +#define DIGIT(m, k) (MP_DEPRECATED_PRAGMA("DIGIT macro is deprecated, use z->dp instead") (m)->dp[(k)]) +#define SIGN(m) (MP_DEPRECATED_PRAGMA("SIGN macro is deprecated, use z->sign instead") (m)->sign) /* the infamous mp_int structure */ typedef struct { - int used, alloc, sign; + int used, alloc; + mp_sign sign; mp_digit *dp; } mp_int; /* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */ -typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); - - -#define USED(m) ((m)->used) -#define DIGIT(m, k) ((m)->dp[(k)]) -#define SIGN(m) ((m)->sign) +typedef int private_mp_prime_callback(unsigned char *dst, int len, void *dat); +typedef private_mp_prime_callback MP_DEPRECATED(mp_rand_source) ltm_prime_callback; /* error code to char* string */ -const char *mp_error_to_string(int code); +const char *mp_error_to_string(mp_err code) MP_WUR; /* ---> init and deinit bignum functions <--- */ /* init a bignum */ -int mp_init(mp_int *a); +mp_err mp_init(mp_int *a) MP_WUR; /* free a bignum */ void mp_clear(mp_int *a); /* init a null terminated series of arguments */ -int mp_init_multi(mp_int *mp, ...); +mp_err mp_init_multi(mp_int *mp, ...) MP_NULL_TERMINATED MP_WUR; /* clear a null terminated series of arguments */ -void mp_clear_multi(mp_int *mp, ...); +void mp_clear_multi(mp_int *mp, ...) MP_NULL_TERMINATED; /* exchange two ints */ void mp_exch(mp_int *a, mp_int *b); /* shrink ram required for a bignum */ -int mp_shrink(mp_int *a); +mp_err mp_shrink(mp_int *a) MP_WUR; /* grow an int to a given size */ -int mp_grow(mp_int *a, int size); +mp_err mp_grow(mp_int *a, int size) MP_WUR; /* init to a given number of digits */ -int mp_init_size(mp_int *a, int size); +mp_err mp_init_size(mp_int *a, int size) MP_WUR; /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) ((((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) -#define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +mp_bool mp_iseven(const mp_int *a) MP_WUR; +mp_bool mp_isodd(const mp_int *a) MP_WUR; #define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) /* set to zero */ void mp_zero(mp_int *a); -/* set to a digit */ +/* get and set doubles */ +double mp_get_double(const mp_int *a) MP_WUR; +mp_err mp_set_double(mp_int *a, double b) MP_WUR; + +/* get integer, set integer and init with integer (int32_t) */ +int32_t mp_get_i32(const mp_int *a) MP_WUR; +void mp_set_i32(mp_int *a, int32_t b); +mp_err mp_init_i32(mp_int *a, int32_t b) MP_WUR; + +/* get integer, set integer and init with integer, behaves like two complement for negative numbers (uint32_t) */ +#define mp_get_u32(a) ((uint32_t)mp_get_i32(a)) +void mp_set_u32(mp_int *a, uint32_t b); +mp_err mp_init_u32(mp_int *a, uint32_t b) MP_WUR; + +/* get integer, set integer and init with integer (int64_t) */ +int64_t mp_get_i64(const mp_int *a) MP_WUR; +void mp_set_i64(mp_int *a, int64_t b); +mp_err mp_init_i64(mp_int *a, int64_t b) MP_WUR; + +/* get integer, set integer and init with integer, behaves like two complement for negative numbers (uint64_t) */ +#define mp_get_u64(a) ((uint64_t)mp_get_i64(a)) +void mp_set_u64(mp_int *a, uint64_t b); +mp_err mp_init_u64(mp_int *a, uint64_t b) MP_WUR; + +/* get magnitude */ +uint32_t mp_get_mag_u32(const mp_int *a) MP_WUR; +uint64_t mp_get_mag_u64(const mp_int *a) MP_WUR; +unsigned long mp_get_mag_ul(const mp_int *a) MP_WUR; +unsigned long long mp_get_mag_ull(const mp_int *a) MP_WUR; + +/* get integer, set integer (long) */ +long mp_get_l(const mp_int *a) MP_WUR; +void mp_set_l(mp_int *a, long b); +mp_err mp_init_l(mp_int *a, long b) MP_WUR; + +/* get integer, set integer (unsigned long) */ +#define mp_get_ul(a) ((unsigned long)mp_get_l(a)) +void mp_set_ul(mp_int *a, unsigned long b); +mp_err mp_init_ul(mp_int *a, unsigned long b) MP_WUR; + +/* get integer, set integer (long long) */ +long long mp_get_ll(const mp_int *a) MP_WUR; +void mp_set_ll(mp_int *a, long long b); +mp_err mp_init_ll(mp_int *a, long long b) MP_WUR; + +/* get integer, set integer (unsigned long long) */ +#define mp_get_ull(a) ((unsigned long long)mp_get_ll(a)) +void mp_set_ull(mp_int *a, unsigned long long b); +mp_err mp_init_ull(mp_int *a, unsigned long long b) MP_WUR; + +/* set to single unsigned digit, up to MP_DIGIT_MAX */ void mp_set(mp_int *a, mp_digit b); +mp_err mp_init_set(mp_int *a, mp_digit b) MP_WUR; -/* set a 32-bit const */ -int mp_set_int(mp_int *a, unsigned long b); - -/* set a platform dependent unsigned long value */ -int mp_set_long(mp_int *a, unsigned long b); - -/* set a platform dependent unsigned long long value */ -int mp_set_long_long(mp_int *a, unsigned long long b); - -/* get a 32-bit value */ -unsigned long mp_get_int(const mp_int *a); - -/* get a platform dependent unsigned long value */ -unsigned long mp_get_long(const mp_int *a); - -/* get a platform dependent unsigned long long value */ -unsigned long long mp_get_long_long(const mp_int *a); - -/* initialize and set a digit */ -int mp_init_set(mp_int *a, mp_digit b); - -/* initialize and set 32-bit value */ -int mp_init_set_int(mp_int *a, unsigned long b); +/* get integer, set integer and init with integer (deprecated) */ +MP_DEPRECATED(mp_get_mag_u32/mp_get_u32) unsigned long mp_get_int(const mp_int *a) MP_WUR; +MP_DEPRECATED(mp_get_mag_ul/mp_get_ul) unsigned long mp_get_long(const mp_int *a) MP_WUR; +MP_DEPRECATED(mp_get_mag_ull/mp_get_ull) unsigned long long mp_get_long_long(const mp_int *a) MP_WUR; +MP_DEPRECATED(mp_set_ul) mp_err mp_set_int(mp_int *a, unsigned long b); +MP_DEPRECATED(mp_set_ul) mp_err mp_set_long(mp_int *a, unsigned long b); +MP_DEPRECATED(mp_set_ull) mp_err mp_set_long_long(mp_int *a, unsigned long long b); +MP_DEPRECATED(mp_init_ul) mp_err mp_init_set_int(mp_int *a, unsigned long b) MP_WUR; /* copy, b = a */ -int mp_copy(const mp_int *a, mp_int *b); +mp_err mp_copy(const mp_int *a, mp_int *b) MP_WUR; /* inits and copies, a = b */ -int mp_init_copy(mp_int *a, const mp_int *b); +mp_err mp_init_copy(mp_int *a, const mp_int *b) MP_WUR; /* trim unused digits */ void mp_clamp(mp_int *a); -/* import binary data */ -int mp_import(mp_int *rop, size_t count, int order, size_t size, int endian, size_t nails, const void *op); /* export binary data */ -int mp_export(void *rop, size_t *countp, int order, size_t size, int endian, size_t nails, const mp_int *op); +MP_DEPRECATED(mp_pack) mp_err mp_export(void *rop, size_t *countp, int order, size_t size, + int endian, size_t nails, const mp_int *op) MP_WUR; + +/* import binary data */ +MP_DEPRECATED(mp_unpack) mp_err mp_import(mp_int *rop, size_t count, int order, + size_t size, int endian, size_t nails, + const void *op) MP_WUR; + +/* unpack binary data */ +mp_err mp_unpack(mp_int *rop, size_t count, mp_order order, size_t size, mp_endian endian, + size_t nails, const void *op) MP_WUR; + +/* pack binary data */ +size_t mp_pack_count(const mp_int *a, size_t nails, size_t size) MP_WUR; +mp_err mp_pack(void *rop, size_t maxcount, size_t *written, mp_order order, size_t size, + mp_endian endian, size_t nails, const mp_int *op) MP_WUR; /* ---> digit manipulation <--- */ @@ -246,37 +394,43 @@ int mp_export(void *rop, size_t *countp, int order, size_t size, int endian, siz void mp_rshd(mp_int *a, int b); /* left shift by "b" digits */ -int mp_lshd(mp_int *a, int b); +mp_err mp_lshd(mp_int *a, int b) MP_WUR; /* c = a / 2**b, implemented as c = a >> b */ -int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); +mp_err mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d) MP_WUR; /* b = a/2 */ -int mp_div_2(const mp_int *a, mp_int *b); +mp_err mp_div_2(const mp_int *a, mp_int *b) MP_WUR; + +/* a/3 => 3c + d == a */ +mp_err mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) MP_WUR; /* c = a * 2**b, implemented as c = a << b */ -int mp_mul_2d(const mp_int *a, int b, mp_int *c); +mp_err mp_mul_2d(const mp_int *a, int b, mp_int *c) MP_WUR; /* b = a*2 */ -int mp_mul_2(const mp_int *a, mp_int *b); +mp_err mp_mul_2(const mp_int *a, mp_int *b) MP_WUR; /* c = a mod 2**b */ -int mp_mod_2d(const mp_int *a, int b, mp_int *c); +mp_err mp_mod_2d(const mp_int *a, int b, mp_int *c) MP_WUR; /* computes a = 2**b */ -int mp_2expt(mp_int *a, int b); +mp_err mp_2expt(mp_int *a, int b) MP_WUR; /* Counts the number of lsbs which are zero before the first zero bit */ -int mp_cnt_lsb(const mp_int *a); +int mp_cnt_lsb(const mp_int *a) MP_WUR; /* I Love Earth! */ /* makes a pseudo-random mp_int of a given size */ -int mp_rand(mp_int *a, int digits); +mp_err mp_rand(mp_int *a, int digits) MP_WUR; /* makes a pseudo-random small int of a given size */ -int mp_rand_digit(mp_digit *r); +MP_DEPRECATED(mp_rand) mp_err mp_rand_digit(mp_digit *r) MP_WUR; +/* use custom random data source instead of source provided the platform */ +void mp_rand_source(mp_err(*source)(void *out, size_t size)); #ifdef MP_PRNG_ENABLE_LTM_RNG +# warning MP_PRNG_ENABLE_LTM_RNG has been deprecated, use mp_rand_source instead. /* A last resort to provide random data on systems without any of the other * implemented ways to gather entropy. * It is compatible with `rng_get_bytes()` from libtomcrypt so you could @@ -286,232 +440,230 @@ extern void (*ltm_rng_callback)(void); #endif /* ---> binary operations <--- */ -/* c = a XOR b */ -int mp_xor(const mp_int *a, const mp_int *b, mp_int *c); - -/* c = a OR b */ -int mp_or(const mp_int *a, const mp_int *b, mp_int *c); - -/* c = a AND b */ -int mp_and(const mp_int *a, const mp_int *b, mp_int *c); /* Checks the bit at position b and returns MP_YES - if the bit is 1, MP_NO if it is 0 and MP_VAL - in case of error */ -int mp_get_bit(const mp_int *a, int b); + * if the bit is 1, MP_NO if it is 0 and MP_VAL + * in case of error + */ +MP_DEPRECATED(s_mp_get_bit) int mp_get_bit(const mp_int *a, int b) MP_WUR; /* c = a XOR b (two complement) */ -int mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c); +MP_DEPRECATED(mp_xor) mp_err mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +mp_err mp_xor(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; /* c = a OR b (two complement) */ -int mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c); +MP_DEPRECATED(mp_or) mp_err mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +mp_err mp_or(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; /* c = a AND b (two complement) */ -int mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c); +MP_DEPRECATED(mp_and) mp_err mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +mp_err mp_and(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -/* right shift (two complement) */ -int mp_tc_div_2d(const mp_int *a, int b, mp_int *c); +/* b = ~a (bitwise not, two complement) */ +mp_err mp_complement(const mp_int *a, mp_int *b) MP_WUR; -/* ---> Basic arithmetic <--- */ +/* right shift with sign extension */ +MP_DEPRECATED(mp_signed_rsh) mp_err mp_tc_div_2d(const mp_int *a, int b, mp_int *c) MP_WUR; +mp_err mp_signed_rsh(const mp_int *a, int b, mp_int *c) MP_WUR; -/* b = ~a */ -int mp_complement(const mp_int *a, mp_int *b); +/* ---> Basic arithmetic <--- */ /* b = -a */ -int mp_neg(const mp_int *a, mp_int *b); +mp_err mp_neg(const mp_int *a, mp_int *b) MP_WUR; /* b = |a| */ -int mp_abs(const mp_int *a, mp_int *b); +mp_err mp_abs(const mp_int *a, mp_int *b) MP_WUR; /* compare a to b */ -int mp_cmp(const mp_int *a, const mp_int *b); +mp_ord mp_cmp(const mp_int *a, const mp_int *b) MP_WUR; /* compare |a| to |b| */ -int mp_cmp_mag(const mp_int *a, const mp_int *b); +mp_ord mp_cmp_mag(const mp_int *a, const mp_int *b) MP_WUR; /* c = a + b */ -int mp_add(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; /* c = a - b */ -int mp_sub(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; /* c = a * b */ -int mp_mul(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; /* b = a*a */ -int mp_sqr(const mp_int *a, mp_int *b); +mp_err mp_sqr(const mp_int *a, mp_int *b) MP_WUR; /* a/b => cb + d == a */ -int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d); +mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) MP_WUR; /* c = a mod b, 0 <= c < b */ -int mp_mod(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_mod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; + +/* Increment "a" by one like "a++". Changes input! */ +mp_err mp_incr(mp_int *a) MP_WUR; + +/* Decrement "a" by one like "a--". Changes input! */ +mp_err mp_decr(mp_int *a) MP_WUR; /* ---> single digit functions <--- */ /* compare against a single digit */ -int mp_cmp_d(const mp_int *a, mp_digit b); +mp_ord mp_cmp_d(const mp_int *a, mp_digit b) MP_WUR; /* c = a + b */ -int mp_add_d(const mp_int *a, mp_digit b, mp_int *c); +mp_err mp_add_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; /* c = a - b */ -int mp_sub_d(const mp_int *a, mp_digit b, mp_int *c); +mp_err mp_sub_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; /* c = a * b */ -int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c); +mp_err mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; /* a/b => cb + d == a */ -int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d); - -/* a/3 => 3c + d == a */ -int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d); - -/* c = a**b */ -int mp_expt_d(const mp_int *a, mp_digit b, mp_int *c); -int mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast); +mp_err mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) MP_WUR; /* c = a mod b, 0 <= c < b */ -int mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c); +mp_err mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c) MP_WUR; /* ---> number theory <--- */ /* d = a + b (mod c) */ -int mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); +mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR; /* d = a - b (mod c) */ -int mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); +mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR; /* d = a * b (mod c) */ -int mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); +mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR; /* c = a * a (mod b) */ -int mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; /* c = 1/a (mod b) */ -int mp_invmod(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; /* c = (a, b) */ -int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_gcd(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; /* produces value such that U1*a + U2*b = U3 */ -int mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3); +mp_err mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) MP_WUR; /* c = [a, b] or (a*b)/(a, b) */ -int mp_lcm(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_lcm(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; /* finds one of the b'th root of a, such that |c|**b <= |a| * * returns error if a < 0 and b is even */ -int mp_n_root(const mp_int *a, mp_digit b, mp_int *c); -int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast); +mp_err mp_root_u32(const mp_int *a, uint32_t b, mp_int *c) MP_WUR; +MP_DEPRECATED(mp_root_u32) mp_err mp_n_root(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; +MP_DEPRECATED(mp_root_u32) mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR; /* special sqrt algo */ -int mp_sqrt(const mp_int *arg, mp_int *ret); +mp_err mp_sqrt(const mp_int *arg, mp_int *ret) MP_WUR; /* special sqrt (mod prime) */ -int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret); +mp_err mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) MP_WUR; /* is number a square? */ -int mp_is_square(const mp_int *arg, int *ret); +mp_err mp_is_square(const mp_int *arg, mp_bool *ret) MP_WUR; /* computes the jacobi c = (a | n) (or Legendre if b is prime) */ -int mp_jacobi(const mp_int *a, const mp_int *n, int *c); +MP_DEPRECATED(mp_kronecker) mp_err mp_jacobi(const mp_int *a, const mp_int *n, int *c) MP_WUR; /* computes the Kronecker symbol c = (a | p) (like jacobi() but with {a,p} in Z */ -int mp_kronecker(const mp_int *a, const mp_int *p, int *c); +mp_err mp_kronecker(const mp_int *a, const mp_int *p, int *c) MP_WUR; /* used to setup the Barrett reduction for a given modulus b */ -int mp_reduce_setup(mp_int *a, const mp_int *b); +mp_err mp_reduce_setup(mp_int *a, const mp_int *b) MP_WUR; /* Barrett Reduction, computes a (mod b) with a precomputed value c * * Assumes that 0 < x <= m*m, note if 0 > x > -(m*m) then you can merely * compute the reduction as -1 * mp_reduce(mp_abs(x)) [pseudo code]. */ -int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu); +mp_err mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) MP_WUR; /* setups the montgomery reduction */ -int mp_montgomery_setup(const mp_int *n, mp_digit *rho); +mp_err mp_montgomery_setup(const mp_int *n, mp_digit *rho) MP_WUR; /* computes a = B**n mod b without division or multiplication useful for * normalizing numbers in a Montgomery system. */ -int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b); +mp_err mp_montgomery_calc_normalization(mp_int *a, const mp_int *b) MP_WUR; /* computes x/R == x (mod N) via Montgomery Reduction */ -int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho); +mp_err mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) MP_WUR; /* returns 1 if a is a valid DR modulus */ -int mp_dr_is_modulus(const mp_int *a); +mp_bool mp_dr_is_modulus(const mp_int *a) MP_WUR; /* sets the value of "d" required for mp_dr_reduce */ void mp_dr_setup(const mp_int *a, mp_digit *d); /* reduces a modulo n using the Diminished Radix method */ -int mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k); +mp_err mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k) MP_WUR; /* returns true if a can be reduced with mp_reduce_2k */ -int mp_reduce_is_2k(const mp_int *a); +mp_bool mp_reduce_is_2k(const mp_int *a) MP_WUR; /* determines k value for 2k reduction */ -int mp_reduce_2k_setup(const mp_int *a, mp_digit *d); +mp_err mp_reduce_2k_setup(const mp_int *a, mp_digit *d) MP_WUR; /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ -int mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d); +mp_err mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d) MP_WUR; /* returns true if a can be reduced with mp_reduce_2k_l */ -int mp_reduce_is_2k_l(const mp_int *a); +mp_bool mp_reduce_is_2k_l(const mp_int *a) MP_WUR; /* determines k value for 2k reduction */ -int mp_reduce_2k_setup_l(const mp_int *a, mp_int *d); +mp_err mp_reduce_2k_setup_l(const mp_int *a, mp_int *d) MP_WUR; /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ -int mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d); +mp_err mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d) MP_WUR; /* Y = G**X (mod P) */ -int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y); +mp_err mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y) MP_WUR; /* ---> Primes <--- */ /* number of primes */ #ifdef MP_8BIT -# define PRIME_SIZE 31 +# define PRIVATE_MP_PRIME_TAB_SIZE 31 #else -# define PRIME_SIZE 256 +# define PRIVATE_MP_PRIME_TAB_SIZE 256 #endif +#define PRIME_SIZE (MP_DEPRECATED_PRAGMA("PRIME_SIZE has been made internal") PRIVATE_MP_PRIME_TAB_SIZE) /* table of first PRIME_SIZE primes */ -extern const mp_digit ltm_prime_tab[PRIME_SIZE]; +MP_DEPRECATED(internal) extern const mp_digit ltm_prime_tab[PRIVATE_MP_PRIME_TAB_SIZE]; /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ -int mp_prime_is_divisible(const mp_int *a, int *result); +MP_DEPRECATED(mp_prime_is_prime) mp_err mp_prime_is_divisible(const mp_int *a, mp_bool *result) MP_WUR; /* performs one Fermat test of "a" using base "b". * Sets result to 0 if composite or 1 if probable prime */ -int mp_prime_fermat(const mp_int *a, const mp_int *b, int *result); +mp_err mp_prime_fermat(const mp_int *a, const mp_int *b, mp_bool *result) MP_WUR; /* performs one Miller-Rabin test of "a" using base "b". * Sets result to 0 if composite or 1 if probable prime */ -int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result); +mp_err mp_prime_miller_rabin(const mp_int *a, const mp_int *b, mp_bool *result) MP_WUR; /* This gives [for a given bit size] the number of trials required * such that Miller-Rabin gives a prob of failure lower than 2^-96 */ -int mp_prime_rabin_miller_trials(int size); +int mp_prime_rabin_miller_trials(int size) MP_WUR; /* performs one strong Lucas-Selfridge test of "a". * Sets result to 0 if composite or 1 if probable prime */ -int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result); +mp_err mp_prime_strong_lucas_selfridge(const mp_int *a, mp_bool *result) MP_WUR; /* performs one Frobenius test of "a" as described by Paul Underwood. * Sets result to 0 if composite or 1 if probable prime */ -int mp_prime_frobenius_underwood(const mp_int *N, int *result); +mp_err mp_prime_frobenius_underwood(const mp_int *N, mp_bool *result) MP_WUR; /* performs t random rounds of Miller-Rabin on "a" additional to * bases 2 and 3. Also performs an initial sieve of trial @@ -527,14 +679,14 @@ int mp_prime_frobenius_underwood(const mp_int *N, int *result); * * Sets result to 1 if probably prime, 0 otherwise */ -int mp_prime_is_prime(const mp_int *a, int t, int *result); +mp_err mp_prime_is_prime(const mp_int *a, int t, mp_bool *result) MP_WUR; /* finds the next prime after the number "a" using "t" trials * of Miller-Rabin. * * bbs_style = 1 means the prime must be congruent to 3 mod 4 */ -int mp_prime_next_prime(mp_int *a, int t, int bbs_style); +mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style) MP_WUR; /* makes a truly random prime of a given size (bytes), * call with bbs = 1 if you want it to be congruent to 3 mod 4 @@ -545,65 +697,85 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); * * The prime generated will be larger than 2^(8*size). */ -#define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat) +#define mp_prime_random(a, t, size, bbs, cb, dat) (MP_DEPRECATED_PRAGMA("mp_prime_random has been deprecated, use mp_prime_rand instead") mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?MP_PRIME_BBS:0, cb, dat)) /* makes a truly random prime of a given size (bits), * * Flags are as follows: * - * LTM_PRIME_BBS - make prime congruent to 3 mod 4 - * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_ON - make the 2nd highest bit one + * MP_PRIME_BBS - make prime congruent to 3 mod 4 + * MP_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies MP_PRIME_BBS) + * MP_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself * so it can be NULL * */ -int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat); +MP_DEPRECATED(mp_prime_rand) mp_err mp_prime_random_ex(mp_int *a, int t, int size, int flags, + private_mp_prime_callback cb, void *dat) MP_WUR; +mp_err mp_prime_rand(mp_int *a, int t, int size, int flags) MP_WUR; + +/* Integer logarithm to integer base */ +mp_err mp_log_u32(const mp_int *a, uint32_t base, uint32_t *c) MP_WUR; + +/* c = a**b */ +mp_err mp_expt_u32(const mp_int *a, uint32_t b, mp_int *c) MP_WUR; +MP_DEPRECATED(mp_expt_u32) mp_err mp_expt_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; +MP_DEPRECATED(mp_expt_u32) mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR; /* ---> radix conversion <--- */ -int mp_count_bits(const mp_int *a); - -int mp_unsigned_bin_size(const mp_int *a); -int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c); -int mp_to_unsigned_bin(const mp_int *a, unsigned char *b); -int mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen); - -int mp_signed_bin_size(const mp_int *a); -int mp_read_signed_bin(mp_int *a, const unsigned char *b, int c); -int mp_to_signed_bin(const mp_int *a, unsigned char *b); -int mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen); - -int mp_read_radix(mp_int *a, const char *str, int radix); -int mp_toradix(const mp_int *a, char *str, int radix); -int mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen); -int mp_radix_size(const mp_int *a, int radix, int *size); - -#ifndef LTM_NO_FILE -int mp_fread(mp_int *a, int radix, FILE *stream); -int mp_fwrite(const mp_int *a, int radix, FILE *stream); +int mp_count_bits(const mp_int *a) MP_WUR; + + +MP_DEPRECATED(mp_ubin_size) int mp_unsigned_bin_size(const mp_int *a) MP_WUR; +MP_DEPRECATED(mp_from_ubin) mp_err mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c) MP_WUR; +MP_DEPRECATED(mp_to_ubin) mp_err mp_to_unsigned_bin(const mp_int *a, unsigned char *b) MP_WUR; +MP_DEPRECATED(mp_to_ubin) mp_err mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) MP_WUR; + +MP_DEPRECATED(mp_sbin_size) int mp_signed_bin_size(const mp_int *a) MP_WUR; +MP_DEPRECATED(mp_from_sbin) mp_err mp_read_signed_bin(mp_int *a, const unsigned char *b, int c) MP_WUR; +MP_DEPRECATED(mp_to_sbin) mp_err mp_to_signed_bin(const mp_int *a, unsigned char *b) MP_WUR; +MP_DEPRECATED(mp_to_sbin) mp_err mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) MP_WUR; + +size_t mp_ubin_size(const mp_int *a) MP_WUR; +mp_err mp_from_ubin(mp_int *a, const unsigned char *buf, size_t size) MP_WUR; +mp_err mp_to_ubin(const mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) MP_WUR; + +size_t mp_sbin_size(const mp_int *a) MP_WUR; +mp_err mp_from_sbin(mp_int *a, const unsigned char *buf, size_t size) MP_WUR; +mp_err mp_to_sbin(const mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) MP_WUR; + +mp_err mp_read_radix(mp_int *a, const char *str, int radix) MP_WUR; +MP_DEPRECATED(mp_to_radix) mp_err mp_toradix(const mp_int *a, char *str, int radix) MP_WUR; +MP_DEPRECATED(mp_to_radix) mp_err mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen) MP_WUR; +mp_err mp_to_radix(const mp_int *a, char *str, size_t maxlen, size_t *written, int radix) MP_WUR; +mp_err mp_radix_size(const mp_int *a, int radix, int *size) MP_WUR; + +#ifndef MP_NO_FILE +mp_err mp_fread(mp_int *a, int radix, FILE *stream) MP_WUR; +mp_err mp_fwrite(const mp_int *a, int radix, FILE *stream) MP_WUR; #endif -#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) -#define mp_raw_size(mp) mp_signed_bin_size(mp) -#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) -#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) -#define mp_mag_size(mp) mp_unsigned_bin_size(mp) -#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) +#define mp_read_raw(mp, str, len) (MP_DEPRECATED_PRAGMA("replaced by mp_read_signed_bin") mp_read_signed_bin((mp), (str), (len))) +#define mp_raw_size(mp) (MP_DEPRECATED_PRAGMA("replaced by mp_signed_bin_size") mp_signed_bin_size(mp)) +#define mp_toraw(mp, str) (MP_DEPRECATED_PRAGMA("replaced by mp_to_signed_bin") mp_to_signed_bin((mp), (str))) +#define mp_read_mag(mp, str, len) (MP_DEPRECATED_PRAGMA("replaced by mp_read_unsigned_bin") mp_read_unsigned_bin((mp), (str), (len)) +#define mp_mag_size(mp) (MP_DEPRECATED_PRAGMA("replaced by mp_unsigned_bin_size") mp_unsigned_bin_size(mp)) +#define mp_tomag(mp, str) (MP_DEPRECATED_PRAGMA("replaced by mp_to_unsigned_bin") mp_to_unsigned_bin((mp), (str))) + +#define mp_tobinary(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_binary") mp_toradix((M), (S), 2)) +#define mp_tooctal(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_octal") mp_toradix((M), (S), 8)) +#define mp_todecimal(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_decimal") mp_toradix((M), (S), 10)) +#define mp_tohex(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_hex") mp_toradix((M), (S), 16)) -#define mp_tobinary(M, S) mp_toradix((M), (S), 2) -#define mp_tooctal(M, S) mp_toradix((M), (S), 8) -#define mp_todecimal(M, S) mp_toradix((M), (S), 10) -#define mp_tohex(M, S) mp_toradix((M), (S), 16) +#define mp_to_binary(M, S, N) mp_to_radix((M), (S), (N), NULL, 2) +#define mp_to_octal(M, S, N) mp_to_radix((M), (S), (N), NULL, 8) +#define mp_to_decimal(M, S, N) mp_to_radix((M), (S), (N), NULL, 10) +#define mp_to_hex(M, S, N) mp_to_radix((M), (S), (N), NULL, 16) #ifdef __cplusplus } #endif #endif - - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/tommath.out b/libtommath/tommath.out deleted file mode 100644 index 9f62617..0000000 --- a/libtommath/tommath.out +++ /dev/null @@ -1,139 +0,0 @@ -\BOOKMARK [0][-]{chapter.1}{Introduction}{} -\BOOKMARK [1][-]{section.1.1}{Multiple Precision Arithmetic}{chapter.1} -\BOOKMARK [2][-]{subsection.1.1.1}{What is Multiple Precision Arithmetic?}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.2}{The Need for Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.3}{Benefits of Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [1][-]{section.1.2}{Purpose of This Text}{chapter.1} -\BOOKMARK [1][-]{section.1.3}{Discussion and Notation}{chapter.1} -\BOOKMARK [2][-]{subsection.1.3.1}{Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.2}{Precision Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.3}{Algorithm Inputs and Outputs}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.4}{Mathematical Expressions}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.5}{Work Effort}{section.1.3} -\BOOKMARK [1][-]{section.1.4}{Exercises}{chapter.1} -\BOOKMARK [1][-]{section.1.5}{Introduction to LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.5.1}{What is LibTomMath?}{section.1.5} -\BOOKMARK [2][-]{subsection.1.5.2}{Goals of LibTomMath}{section.1.5} -\BOOKMARK [1][-]{section.1.6}{Choice of LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.6.1}{Code Base}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.2}{API Simplicity}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.3}{Optimizations}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.4}{Portability and Stability}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.5}{Choice}{section.1.6} -\BOOKMARK [0][-]{chapter.2}{Getting Started}{} -\BOOKMARK [1][-]{section.2.1}{Library Basics}{chapter.2} -\BOOKMARK [1][-]{section.2.2}{What is a Multiple Precision Integer?}{chapter.2} -\BOOKMARK [2][-]{subsection.2.2.1}{The mp\137int Structure}{section.2.2} -\BOOKMARK [1][-]{section.2.3}{Argument Passing}{chapter.2} -\BOOKMARK [1][-]{section.2.4}{Return Values}{chapter.2} -\BOOKMARK [1][-]{section.2.5}{Initialization and Clearing}{chapter.2} -\BOOKMARK [2][-]{subsection.2.5.1}{Initializing an mp\137int}{section.2.5} -\BOOKMARK [2][-]{subsection.2.5.2}{Clearing an mp\137int}{section.2.5} -\BOOKMARK [1][-]{section.2.6}{Maintenance Algorithms}{chapter.2} -\BOOKMARK [2][-]{subsection.2.6.1}{Augmenting an mp\137int's Precision}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.2}{Initializing Variable Precision mp\137ints}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.3}{Multiple Integer Initializations and Clearings}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.4}{Clamping Excess Digits}{section.2.6} -\BOOKMARK [0][-]{chapter.3}{Basic Operations}{} -\BOOKMARK [1][-]{section.3.1}{Introduction}{chapter.3} -\BOOKMARK [1][-]{section.3.2}{Assigning Values to mp\137int Structures}{chapter.3} -\BOOKMARK [2][-]{subsection.3.2.1}{Copying an mp\137int}{section.3.2} -\BOOKMARK [2][-]{subsection.3.2.2}{Creating a Clone}{section.3.2} -\BOOKMARK [1][-]{section.3.3}{Zeroing an Integer}{chapter.3} -\BOOKMARK [1][-]{section.3.4}{Sign Manipulation}{chapter.3} -\BOOKMARK [2][-]{subsection.3.4.1}{Absolute Value}{section.3.4} -\BOOKMARK [2][-]{subsection.3.4.2}{Integer Negation}{section.3.4} -\BOOKMARK [1][-]{section.3.5}{Small Constants}{chapter.3} -\BOOKMARK [2][-]{subsection.3.5.1}{Setting Small Constants}{section.3.5} -\BOOKMARK [2][-]{subsection.3.5.2}{Setting Large Constants}{section.3.5} -\BOOKMARK [1][-]{section.3.6}{Comparisons}{chapter.3} -\BOOKMARK [2][-]{subsection.3.6.1}{Unsigned Comparisions}{section.3.6} -\BOOKMARK [2][-]{subsection.3.6.2}{Signed Comparisons}{section.3.6} -\BOOKMARK [0][-]{chapter.4}{Basic Arithmetic}{} -\BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4} -\BOOKMARK [1][-]{section.4.2}{Addition and Subtraction}{chapter.4} -\BOOKMARK [2][-]{subsection.4.2.1}{Low Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.2}{Low Level Subtraction}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.3}{High Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.4}{High Level Subtraction}{section.4.2} -\BOOKMARK [1][-]{section.4.3}{Bit and Digit Shifting}{chapter.4} -\BOOKMARK [2][-]{subsection.4.3.1}{Multiplication by Two}{section.4.3} -\BOOKMARK [2][-]{subsection.4.3.2}{Division by Two}{section.4.3} -\BOOKMARK [1][-]{section.4.4}{Polynomial Basis Operations}{chapter.4} -\BOOKMARK [2][-]{subsection.4.4.1}{Multiplication by x}{section.4.4} -\BOOKMARK [2][-]{subsection.4.4.2}{Division by x}{section.4.4} -\BOOKMARK [1][-]{section.4.5}{Powers of Two}{chapter.4} -\BOOKMARK [2][-]{subsection.4.5.1}{Multiplication by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.2}{Division by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.3}{Remainder of Division by Power of Two}{section.4.5} -\BOOKMARK [0][-]{chapter.5}{Multiplication and Squaring}{} -\BOOKMARK [1][-]{section.5.1}{The Multipliers}{chapter.5} -\BOOKMARK [1][-]{section.5.2}{Multiplication}{chapter.5} -\BOOKMARK [2][-]{subsection.5.2.1}{The Baseline Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.2}{Faster Multiplication by the ``Comba'' Method}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.3}{Polynomial Basis Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.4}{Karatsuba Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.5}{Toom-Cook 3-Way Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.6}{Signed Multiplication}{section.5.2} -\BOOKMARK [1][-]{section.5.3}{Squaring}{chapter.5} -\BOOKMARK [2][-]{subsection.5.3.1}{The Baseline Squaring Algorithm}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.2}{Faster Squaring by the ``Comba'' Method}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.3}{Polynomial Basis Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.4}{Karatsuba Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.5}{Toom-Cook Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.6}{High Level Squaring}{section.5.3} -\BOOKMARK [0][-]{chapter.6}{Modular Reduction}{} -\BOOKMARK [1][-]{section.6.1}{Basics of Modular Reduction}{chapter.6} -\BOOKMARK [1][-]{section.6.2}{The Barrett Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.2.1}{Fixed Point Arithmetic}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.2}{Choosing a Radix Point}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.3}{Trimming the Quotient}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.4}{Trimming the Residue}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.5}{The Barrett Algorithm}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.6}{The Barrett Setup Algorithm}{section.6.2} -\BOOKMARK [1][-]{section.6.3}{The Montgomery Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.3.1}{Digit Based Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.2}{Baseline Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.3}{Faster ``Comba'' Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.4}{Montgomery Setup}{section.6.3} -\BOOKMARK [1][-]{section.6.4}{The Diminished Radix Algorithm}{chapter.6} -\BOOKMARK [2][-]{subsection.6.4.1}{Choice of Moduli}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.2}{Choice of k}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.3}{Restricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.4}{Unrestricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [1][-]{section.6.5}{Algorithm Comparison}{chapter.6} -\BOOKMARK [0][-]{chapter.7}{Exponentiation}{} -\BOOKMARK [1][-]{section.7.1}{Exponentiation Basics}{chapter.7} -\BOOKMARK [2][-]{subsection.7.1.1}{Single Digit Exponentiation}{section.7.1} -\BOOKMARK [1][-]{section.7.2}{k-ary Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.2.1}{Optimal Values of k}{section.7.2} -\BOOKMARK [2][-]{subsection.7.2.2}{Sliding-Window Exponentiation}{section.7.2} -\BOOKMARK [1][-]{section.7.3}{Modular Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.3.1}{Barrett Modular Exponentiation}{section.7.3} -\BOOKMARK [1][-]{section.7.4}{Quick Power of Two}{chapter.7} -\BOOKMARK [0][-]{chapter.8}{Higher Level Algorithms}{} -\BOOKMARK [1][-]{section.8.1}{Integer Division with Remainder}{chapter.8} -\BOOKMARK [2][-]{subsection.8.1.1}{Quotient Estimation}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.2}{Normalized Integers}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.3}{Radix- Division with Remainder}{section.8.1} -\BOOKMARK [1][-]{section.8.2}{Single Digit Helpers}{chapter.8} -\BOOKMARK [2][-]{subsection.8.2.1}{Single Digit Addition and Subtraction}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.2}{Single Digit Multiplication}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.3}{Single Digit Division}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.4}{Single Digit Root Extraction}{section.8.2} -\BOOKMARK [1][-]{section.8.3}{Random Number Generation}{chapter.8} -\BOOKMARK [1][-]{section.8.4}{Formatted Representations}{chapter.8} -\BOOKMARK [2][-]{subsection.8.4.1}{Reading Radix-n Input}{section.8.4} -\BOOKMARK [2][-]{subsection.8.4.2}{Generating Radix-n Output}{section.8.4} -\BOOKMARK [0][-]{chapter.9}{Number Theoretic Algorithms}{} -\BOOKMARK [1][-]{section.9.1}{Greatest Common Divisor}{chapter.9} -\BOOKMARK [2][-]{subsection.9.1.1}{Complete Greatest Common Divisor}{section.9.1} -\BOOKMARK [1][-]{section.9.2}{Least Common Multiple}{chapter.9} -\BOOKMARK [1][-]{section.9.3}{Jacobi Symbol Computation}{chapter.9} -\BOOKMARK [2][-]{subsection.9.3.1}{Jacobi Symbol}{section.9.3} -\BOOKMARK [1][-]{section.9.4}{Modular Inverse}{chapter.9} -\BOOKMARK [2][-]{subsection.9.4.1}{General Case}{section.9.4} -\BOOKMARK [1][-]{section.9.5}{Primality Tests}{chapter.9} -\BOOKMARK [2][-]{subsection.9.5.1}{Trial Division}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.2}{The Fermat Test}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.3}{The Miller-Rabin Test}{section.9.5} diff --git a/libtommath/tommath_class.h b/libtommath/tommath_class.h index 59cd97e..6742c50 100644 --- a/libtommath/tommath_class.h +++ b/libtommath/tommath_class.h @@ -1,16 +1,8 @@ -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ #if !(defined(LTM1) && defined(LTM2) && defined(LTM3)) +#define LTM_INSIDE #if defined(LTM2) # define LTM3 #endif @@ -19,12 +11,8 @@ #endif #define LTM1 #if defined(LTM_ALL) -# define BN_ERROR_C -# define BN_FAST_MP_INVMOD_C -# define BN_FAST_MP_MONTGOMERY_REDUCE_C -# define BN_FAST_S_MP_MUL_DIGS_C -# define BN_FAST_S_MP_MUL_HIGH_DIGS_C -# define BN_FAST_S_MP_SQR_C +# define BN_CUTOFFS_C +# define BN_DEPRECATED_C # define BN_MP_2EXPT_C # define BN_MP_ABS_C # define BN_MP_ADD_C @@ -41,6 +29,7 @@ # define BN_MP_COMPLEMENT_C # define BN_MP_COPY_C # define BN_MP_COUNT_BITS_C +# define BN_MP_DECR_C # define BN_MP_DIV_C # define BN_MP_DIV_2_C # define BN_MP_DIV_2D_C @@ -49,37 +38,46 @@ # define BN_MP_DR_IS_MODULUS_C # define BN_MP_DR_REDUCE_C # define BN_MP_DR_SETUP_C +# define BN_MP_ERROR_TO_STRING_C # define BN_MP_EXCH_C -# define BN_MP_EXPORT_C -# define BN_MP_EXPT_D_C -# define BN_MP_EXPT_D_EX_C +# define BN_MP_EXPT_U32_C # define BN_MP_EXPTMOD_C -# define BN_MP_EXPTMOD_FAST_C # define BN_MP_EXTEUCLID_C # define BN_MP_FREAD_C +# define BN_MP_FROM_SBIN_C +# define BN_MP_FROM_UBIN_C # define BN_MP_FWRITE_C # define BN_MP_GCD_C -# define BN_MP_GET_BIT_C -# define BN_MP_GET_DOUBLE_C -# define BN_MP_GET_INT_C -# define BN_MP_GET_LONG_C -# define BN_MP_GET_LONG_LONG_C +# define BN_MP_GET_I32_C +# define BN_MP_GET_I64_C +# define BN_MP_GET_L_C +# define BN_MP_GET_LL_C +# define BN_MP_GET_MAG_U32_C +# define BN_MP_GET_MAG_U64_C +# define BN_MP_GET_MAG_UL_C +# define BN_MP_GET_MAG_ULL_C # define BN_MP_GROW_C -# define BN_MP_IMPORT_C +# define BN_MP_INCR_C # define BN_MP_INIT_C # define BN_MP_INIT_COPY_C +# define BN_MP_INIT_I32_C +# define BN_MP_INIT_I64_C +# define BN_MP_INIT_L_C +# define BN_MP_INIT_LL_C # define BN_MP_INIT_MULTI_C # define BN_MP_INIT_SET_C -# define BN_MP_INIT_SET_INT_C # define BN_MP_INIT_SIZE_C +# define BN_MP_INIT_U32_C +# define BN_MP_INIT_U64_C +# define BN_MP_INIT_UL_C +# define BN_MP_INIT_ULL_C # define BN_MP_INVMOD_C -# define BN_MP_INVMOD_SLOW_C # define BN_MP_IS_SQUARE_C -# define BN_MP_JACOBI_C -# define BN_MP_KARATSUBA_MUL_C -# define BN_MP_KARATSUBA_SQR_C +# define BN_MP_ISEVEN_C +# define BN_MP_ISODD_C # define BN_MP_KRONECKER_C # define BN_MP_LCM_C +# define BN_MP_LOG_U32_C # define BN_MP_LSHD_C # define BN_MP_MOD_C # define BN_MP_MOD_2D_C @@ -92,25 +90,22 @@ # define BN_MP_MUL_2D_C # define BN_MP_MUL_D_C # define BN_MP_MULMOD_C -# define BN_MP_N_ROOT_C -# define BN_MP_N_ROOT_EX_C # define BN_MP_NEG_C # define BN_MP_OR_C +# define BN_MP_PACK_C +# define BN_MP_PACK_COUNT_C # define BN_MP_PRIME_FERMAT_C # define BN_MP_PRIME_FROBENIUS_UNDERWOOD_C -# define BN_MP_PRIME_IS_DIVISIBLE_C # define BN_MP_PRIME_IS_PRIME_C # define BN_MP_PRIME_MILLER_RABIN_C # define BN_MP_PRIME_NEXT_PRIME_C # define BN_MP_PRIME_RABIN_MILLER_TRIALS_C -# define BN_MP_PRIME_RANDOM_EX_C +# define BN_MP_PRIME_RAND_C # define BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C # define BN_MP_RADIX_SIZE_C # define BN_MP_RADIX_SMAP_C # define BN_MP_RAND_C # define BN_MP_READ_RADIX_C -# define BN_MP_READ_SIGNED_BIN_C -# define BN_MP_READ_UNSIGNED_BIN_C # define BN_MP_REDUCE_C # define BN_MP_REDUCE_2K_C # define BN_MP_REDUCE_2K_L_C @@ -119,14 +114,20 @@ # define BN_MP_REDUCE_IS_2K_C # define BN_MP_REDUCE_IS_2K_L_C # define BN_MP_REDUCE_SETUP_C +# define BN_MP_ROOT_U32_C # define BN_MP_RSHD_C +# define BN_MP_SBIN_SIZE_C # define BN_MP_SET_C -# define BN_MP_SET_DOUBLE_C -# define BN_MP_SET_INT_C -# define BN_MP_SET_LONG_C -# define BN_MP_SET_LONG_LONG_C +# define BN_MP_SET_I32_C +# define BN_MP_SET_I64_C +# define BN_MP_SET_L_C +# define BN_MP_SET_LL_C +# define BN_MP_SET_U32_C +# define BN_MP_SET_U64_C +# define BN_MP_SET_UL_C +# define BN_MP_SET_ULL_C # define BN_MP_SHRINK_C -# define BN_MP_SIGNED_BIN_SIZE_C +# define BN_MP_SIGNED_RSH_C # define BN_MP_SQR_C # define BN_MP_SQRMOD_C # define BN_MP_SQRT_C @@ -134,79 +135,132 @@ # define BN_MP_SUB_C # define BN_MP_SUB_D_C # define BN_MP_SUBMOD_C -# define BN_MP_TC_AND_C -# define BN_MP_TC_DIV_2D_C -# define BN_MP_TC_OR_C -# define BN_MP_TC_XOR_C -# define BN_MP_TO_SIGNED_BIN_C -# define BN_MP_TO_SIGNED_BIN_N_C -# define BN_MP_TO_UNSIGNED_BIN_C -# define BN_MP_TO_UNSIGNED_BIN_N_C -# define BN_MP_TOOM_MUL_C -# define BN_MP_TOOM_SQR_C -# define BN_MP_TORADIX_C -# define BN_MP_TORADIX_N_C -# define BN_MP_UNSIGNED_BIN_SIZE_C +# define BN_MP_TO_RADIX_C +# define BN_MP_TO_SBIN_C +# define BN_MP_TO_UBIN_C +# define BN_MP_UBIN_SIZE_C +# define BN_MP_UNPACK_C # define BN_MP_XOR_C # define BN_MP_ZERO_C # define BN_PRIME_TAB_C -# define BN_REVERSE_C # define BN_S_MP_ADD_C +# define BN_S_MP_BALANCE_MUL_C # define BN_S_MP_EXPTMOD_C +# define BN_S_MP_EXPTMOD_FAST_C +# define BN_S_MP_GET_BIT_C +# define BN_S_MP_INVMOD_FAST_C +# define BN_S_MP_INVMOD_SLOW_C +# define BN_S_MP_KARATSUBA_MUL_C +# define BN_S_MP_KARATSUBA_SQR_C +# define BN_S_MP_MONTGOMERY_REDUCE_FAST_C # define BN_S_MP_MUL_DIGS_C +# define BN_S_MP_MUL_DIGS_FAST_C # define BN_S_MP_MUL_HIGH_DIGS_C +# define BN_S_MP_MUL_HIGH_DIGS_FAST_C +# define BN_S_MP_PRIME_IS_DIVISIBLE_C +# define BN_S_MP_RAND_JENKINS_C +# define BN_S_MP_RAND_PLATFORM_C +# define BN_S_MP_REVERSE_C # define BN_S_MP_SQR_C +# define BN_S_MP_SQR_FAST_C # define BN_S_MP_SUB_C -# define BNCORE_C -#endif -#if defined(BN_ERROR_C) -# define BN_MP_ERROR_TO_STRING_C -#endif - -#if defined(BN_FAST_MP_INVMOD_C) -# define BN_MP_ISEVEN_C -# define BN_MP_INIT_MULTI_C -# define BN_MP_COPY_C -# define BN_MP_MOD_C -# define BN_MP_ISZERO_C -# define BN_MP_SET_C -# define BN_MP_DIV_2_C -# define BN_MP_ISODD_C -# define BN_MP_SUB_C -# define BN_MP_CMP_C -# define BN_MP_CMP_D_C -# define BN_MP_ADD_C -# define BN_MP_CMP_MAG_C -# define BN_MP_EXCH_C -# define BN_MP_CLEAR_MULTI_C -#endif - -#if defined(BN_FAST_MP_MONTGOMERY_REDUCE_C) -# define BN_MP_GROW_C -# define BN_MP_RSHD_C -# define BN_MP_CLAMP_C -# define BN_MP_CMP_MAG_C -# define BN_S_MP_SUB_C +# define BN_S_MP_TOOM_MUL_C +# define BN_S_MP_TOOM_SQR_C #endif - -#if defined(BN_FAST_S_MP_MUL_DIGS_C) -# define BN_MP_GROW_C -# define BN_MP_CLAMP_C #endif - -#if defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) -# define BN_MP_GROW_C -# define BN_MP_CLAMP_C +#if defined(BN_CUTOFFS_C) #endif -#if defined(BN_FAST_S_MP_SQR_C) -# define BN_MP_GROW_C -# define BN_MP_CLAMP_C +#if defined(BN_DEPRECATED_C) +# define BN_FAST_MP_INVMOD_C +# define BN_FAST_MP_MONTGOMERY_REDUCE_C +# define BN_FAST_S_MP_MUL_DIGS_C +# define BN_FAST_S_MP_MUL_HIGH_DIGS_C +# define BN_FAST_S_MP_SQR_C +# define BN_MP_AND_C +# define BN_MP_BALANCE_MUL_C +# define BN_MP_CMP_D_C +# define BN_MP_EXPORT_C +# define BN_MP_EXPTMOD_FAST_C +# define BN_MP_EXPT_D_C +# define BN_MP_EXPT_D_EX_C +# define BN_MP_EXPT_U32_C +# define BN_MP_FROM_SBIN_C +# define BN_MP_FROM_UBIN_C +# define BN_MP_GET_BIT_C +# define BN_MP_GET_INT_C +# define BN_MP_GET_LONG_C +# define BN_MP_GET_LONG_LONG_C +# define BN_MP_GET_MAG_U32_C +# define BN_MP_GET_MAG_ULL_C +# define BN_MP_GET_MAG_UL_C +# define BN_MP_IMPORT_C +# define BN_MP_INIT_SET_INT_C +# define BN_MP_INIT_U32_C +# define BN_MP_INVMOD_SLOW_C +# define BN_MP_JACOBI_C +# define BN_MP_KARATSUBA_MUL_C +# define BN_MP_KARATSUBA_SQR_C +# define BN_MP_KRONECKER_C +# define BN_MP_N_ROOT_C +# define BN_MP_N_ROOT_EX_C +# define BN_MP_OR_C +# define BN_MP_PACK_C +# define BN_MP_PRIME_IS_DIVISIBLE_C +# define BN_MP_PRIME_RANDOM_EX_C +# define BN_MP_RAND_DIGIT_C +# define BN_MP_READ_SIGNED_BIN_C +# define BN_MP_READ_UNSIGNED_BIN_C +# define BN_MP_ROOT_U32_C +# define BN_MP_SBIN_SIZE_C +# define BN_MP_SET_INT_C +# define BN_MP_SET_LONG_C +# define BN_MP_SET_LONG_LONG_C +# define BN_MP_SET_U32_C +# define BN_MP_SET_U64_C +# define BN_MP_SIGNED_BIN_SIZE_C +# define BN_MP_SIGNED_RSH_C +# define BN_MP_TC_AND_C +# define BN_MP_TC_DIV_2D_C +# define BN_MP_TC_OR_C +# define BN_MP_TC_XOR_C +# define BN_MP_TOOM_MUL_C +# define BN_MP_TOOM_SQR_C +# define BN_MP_TORADIX_C +# define BN_MP_TORADIX_N_C +# define BN_MP_TO_RADIX_C +# define BN_MP_TO_SBIN_C +# define BN_MP_TO_SIGNED_BIN_C +# define BN_MP_TO_SIGNED_BIN_N_C +# define BN_MP_TO_UBIN_C +# define BN_MP_TO_UNSIGNED_BIN_C +# define BN_MP_TO_UNSIGNED_BIN_N_C +# define BN_MP_UBIN_SIZE_C +# define BN_MP_UNPACK_C +# define BN_MP_UNSIGNED_BIN_SIZE_C +# define BN_MP_XOR_C +# define BN_S_MP_BALANCE_MUL_C +# define BN_S_MP_EXPTMOD_FAST_C +# define BN_S_MP_GET_BIT_C +# define BN_S_MP_INVMOD_FAST_C +# define BN_S_MP_INVMOD_SLOW_C +# define BN_S_MP_KARATSUBA_MUL_C +# define BN_S_MP_KARATSUBA_SQR_C +# define BN_S_MP_MONTGOMERY_REDUCE_FAST_C +# define BN_S_MP_MUL_DIGS_FAST_C +# define BN_S_MP_MUL_HIGH_DIGS_FAST_C +# define BN_S_MP_PRIME_IS_DIVISIBLE_C +# define BN_S_MP_PRIME_RANDOM_EX_C +# define BN_S_MP_RAND_SOURCE_C +# define BN_S_MP_REVERSE_C +# define BN_S_MP_SQR_FAST_C +# define BN_S_MP_TOOM_MUL_C +# define BN_S_MP_TOOM_SQR_C #endif #if defined(BN_MP_2EXPT_C) -# define BN_MP_ZERO_C # define BN_MP_GROW_C +# define BN_MP_ZERO_C #endif #if defined(BN_MP_ABS_C) @@ -214,29 +268,27 @@ #endif #if defined(BN_MP_ADD_C) -# define BN_S_MP_ADD_C # define BN_MP_CMP_MAG_C +# define BN_S_MP_ADD_C # define BN_S_MP_SUB_C #endif #if defined(BN_MP_ADD_D_C) +# define BN_MP_CLAMP_C # define BN_MP_GROW_C # define BN_MP_SUB_D_C -# define BN_MP_CLAMP_C #endif #if defined(BN_MP_ADDMOD_C) -# define BN_MP_INIT_C # define BN_MP_ADD_C # define BN_MP_CLEAR_C +# define BN_MP_INIT_C # define BN_MP_MOD_C #endif #if defined(BN_MP_AND_C) -# define BN_MP_INIT_COPY_C # define BN_MP_CLAMP_C -# define BN_MP_EXCH_C -# define BN_MP_CLEAR_C +# define BN_MP_GROW_C #endif #if defined(BN_MP_CLAMP_C) @@ -260,7 +312,6 @@ #endif #if defined(BN_MP_CNT_LSB_C) -# define BN_MP_ISZERO_C #endif #if defined(BN_MP_COMPLEMENT_C) @@ -275,212 +326,218 @@ #if defined(BN_MP_COUNT_BITS_C) #endif +#if defined(BN_MP_DECR_C) +# define BN_MP_INCR_C +# define BN_MP_SET_C +# define BN_MP_SUB_D_C +# define BN_MP_ZERO_C +#endif + #if defined(BN_MP_DIV_C) -# define BN_MP_ISZERO_C +# define BN_MP_ADD_C +# define BN_MP_CLAMP_C +# define BN_MP_CLEAR_C +# define BN_MP_CMP_C # define BN_MP_CMP_MAG_C # define BN_MP_COPY_C -# define BN_MP_ZERO_C -# define BN_MP_INIT_MULTI_C -# define BN_MP_SET_C # define BN_MP_COUNT_BITS_C -# define BN_MP_ABS_C -# define BN_MP_MUL_2D_C -# define BN_MP_CMP_C -# define BN_MP_SUB_C -# define BN_MP_ADD_C # define BN_MP_DIV_2D_C # define BN_MP_EXCH_C -# define BN_MP_CLEAR_MULTI_C -# define BN_MP_INIT_SIZE_C # define BN_MP_INIT_C # define BN_MP_INIT_COPY_C +# define BN_MP_INIT_SIZE_C # define BN_MP_LSHD_C -# define BN_MP_RSHD_C +# define BN_MP_MUL_2D_C # define BN_MP_MUL_D_C -# define BN_MP_CLAMP_C -# define BN_MP_CLEAR_C +# define BN_MP_RSHD_C +# define BN_MP_SUB_C +# define BN_MP_ZERO_C #endif #if defined(BN_MP_DIV_2_C) -# define BN_MP_GROW_C # define BN_MP_CLAMP_C +# define BN_MP_GROW_C #endif #if defined(BN_MP_DIV_2D_C) +# define BN_MP_CLAMP_C # define BN_MP_COPY_C -# define BN_MP_ZERO_C # define BN_MP_MOD_2D_C # define BN_MP_RSHD_C -# define BN_MP_CLAMP_C +# define BN_MP_ZERO_C #endif #if defined(BN_MP_DIV_3_C) -# define BN_MP_INIT_SIZE_C # define BN_MP_CLAMP_C -# define BN_MP_EXCH_C # define BN_MP_CLEAR_C +# define BN_MP_EXCH_C +# define BN_MP_INIT_SIZE_C #endif #if defined(BN_MP_DIV_D_C) -# define BN_MP_ISZERO_C +# define BN_MP_CLAMP_C +# define BN_MP_CLEAR_C # define BN_MP_COPY_C # define BN_MP_DIV_2D_C # define BN_MP_DIV_3_C -# define BN_MP_INIT_SIZE_C -# define BN_MP_CLAMP_C # define BN_MP_EXCH_C -# define BN_MP_CLEAR_C +# define BN_MP_INIT_SIZE_C #endif #if defined(BN_MP_DR_IS_MODULUS_C) #endif #if defined(BN_MP_DR_REDUCE_C) -# define BN_MP_GROW_C # define BN_MP_CLAMP_C # define BN_MP_CMP_MAG_C +# define BN_MP_GROW_C # define BN_S_MP_SUB_C #endif #if defined(BN_MP_DR_SETUP_C) #endif -#if defined(BN_MP_EXCH_C) -#endif - -#if defined(BN_MP_EXPORT_C) -# define BN_MP_INIT_COPY_C -# define BN_MP_COUNT_BITS_C -# define BN_MP_DIV_2D_C -# define BN_MP_CLEAR_C +#if defined(BN_MP_ERROR_TO_STRING_C) #endif -#if defined(BN_MP_EXPT_D_C) -# define BN_MP_EXPT_D_EX_C +#if defined(BN_MP_EXCH_C) #endif -#if defined(BN_MP_EXPT_D_EX_C) +#if defined(BN_MP_EXPT_U32_C) +# define BN_MP_CLEAR_C # define BN_MP_INIT_COPY_C -# define BN_MP_SET_C # define BN_MP_MUL_C -# define BN_MP_CLEAR_C +# define BN_MP_SET_C # define BN_MP_SQR_C #endif #if defined(BN_MP_EXPTMOD_C) -# define BN_MP_INIT_C -# define BN_MP_INVMOD_C -# define BN_MP_CLEAR_C # define BN_MP_ABS_C # define BN_MP_CLEAR_MULTI_C -# define BN_MP_REDUCE_IS_2K_L_C -# define BN_S_MP_EXPTMOD_C # define BN_MP_DR_IS_MODULUS_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_INVMOD_C # define BN_MP_REDUCE_IS_2K_C -# define BN_MP_ISODD_C -# define BN_MP_EXPTMOD_FAST_C -#endif - -#if defined(BN_MP_EXPTMOD_FAST_C) -# define BN_MP_COUNT_BITS_C -# define BN_MP_INIT_SIZE_C -# define BN_MP_CLEAR_C -# define BN_MP_MONTGOMERY_SETUP_C -# define BN_FAST_MP_MONTGOMERY_REDUCE_C -# define BN_MP_MONTGOMERY_REDUCE_C -# define BN_MP_DR_SETUP_C -# define BN_MP_DR_REDUCE_C -# define BN_MP_REDUCE_2K_SETUP_C -# define BN_MP_REDUCE_2K_C -# define BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -# define BN_MP_MULMOD_C -# define BN_MP_SET_C -# define BN_MP_MOD_C -# define BN_MP_COPY_C -# define BN_MP_SQR_C -# define BN_MP_MUL_C -# define BN_MP_EXCH_C +# define BN_MP_REDUCE_IS_2K_L_C +# define BN_S_MP_EXPTMOD_C +# define BN_S_MP_EXPTMOD_FAST_C #endif #if defined(BN_MP_EXTEUCLID_C) -# define BN_MP_INIT_MULTI_C -# define BN_MP_SET_C +# define BN_MP_CLEAR_MULTI_C # define BN_MP_COPY_C -# define BN_MP_ISZERO_C # define BN_MP_DIV_C +# define BN_MP_EXCH_C +# define BN_MP_INIT_MULTI_C # define BN_MP_MUL_C -# define BN_MP_SUB_C # define BN_MP_NEG_C -# define BN_MP_EXCH_C -# define BN_MP_CLEAR_MULTI_C +# define BN_MP_SET_C +# define BN_MP_SUB_C #endif #if defined(BN_MP_FREAD_C) -# define BN_MP_ZERO_C -# define BN_MP_S_RMAP_REVERSE_SZ_C -# define BN_MP_S_RMAP_REVERSE_C -# define BN_MP_MUL_D_C # define BN_MP_ADD_D_C -# define BN_MP_CMP_D_C +# define BN_MP_MUL_D_C +# define BN_MP_ZERO_C +#endif + +#if defined(BN_MP_FROM_SBIN_C) +# define BN_MP_FROM_UBIN_C +#endif + +#if defined(BN_MP_FROM_UBIN_C) +# define BN_MP_CLAMP_C +# define BN_MP_GROW_C +# define BN_MP_MUL_2D_C +# define BN_MP_ZERO_C #endif #if defined(BN_MP_FWRITE_C) # define BN_MP_RADIX_SIZE_C -# define BN_MP_TORADIX_C +# define BN_MP_TO_RADIX_C #endif #if defined(BN_MP_GCD_C) -# define BN_MP_ISZERO_C # define BN_MP_ABS_C -# define BN_MP_INIT_COPY_C +# define BN_MP_CLEAR_C +# define BN_MP_CMP_MAG_C # define BN_MP_CNT_LSB_C # define BN_MP_DIV_2D_C -# define BN_MP_CMP_MAG_C # define BN_MP_EXCH_C -# define BN_S_MP_SUB_C +# define BN_MP_INIT_COPY_C # define BN_MP_MUL_2D_C -# define BN_MP_CLEAR_C +# define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_GET_I32_C) +# define BN_MP_GET_MAG_U32_C +#endif + +#if defined(BN_MP_GET_I64_C) +# define BN_MP_GET_MAG_U64_C +#endif + +#if defined(BN_MP_GET_L_C) +# define BN_MP_GET_MAG_UL_C #endif -#if defined(BN_MP_GET_BIT_C) -# define BN_MP_ISZERO_C +#if defined(BN_MP_GET_LL_C) +# define BN_MP_GET_MAG_ULL_C #endif -#if defined(BN_MP_GET_DOUBLE_C) -# define BN_MP_ISNEG_C +#if defined(BN_MP_GET_MAG_U32_C) #endif -#if defined(BN_MP_GET_INT_C) +#if defined(BN_MP_GET_MAG_U64_C) #endif -#if defined(BN_MP_GET_LONG_C) +#if defined(BN_MP_GET_MAG_UL_C) #endif -#if defined(BN_MP_GET_LONG_LONG_C) +#if defined(BN_MP_GET_MAG_ULL_C) #endif #if defined(BN_MP_GROW_C) #endif -#if defined(BN_MP_IMPORT_C) -# define BN_MP_ZERO_C -# define BN_MP_MUL_2D_C -# define BN_MP_CLAMP_C +#if defined(BN_MP_INCR_C) +# define BN_MP_ADD_D_C +# define BN_MP_DECR_C +# define BN_MP_SET_C #endif #if defined(BN_MP_INIT_C) #endif #if defined(BN_MP_INIT_COPY_C) -# define BN_MP_INIT_SIZE_C -# define BN_MP_COPY_C # define BN_MP_CLEAR_C +# define BN_MP_COPY_C +# define BN_MP_INIT_SIZE_C #endif -#if defined(BN_MP_INIT_MULTI_C) -# define BN_MP_ERR_C +#if defined(BN_MP_INIT_I32_C) +# define BN_MP_INIT_C +# define BN_MP_SET_I32_C +#endif + +#if defined(BN_MP_INIT_I64_C) +# define BN_MP_INIT_C +# define BN_MP_SET_I64_C +#endif + +#if defined(BN_MP_INIT_L_C) +# define BN_MP_INIT_C +# define BN_MP_SET_L_C +#endif + +#if defined(BN_MP_INIT_LL_C) # define BN_MP_INIT_C +# define BN_MP_SET_LL_C +#endif + +#if defined(BN_MP_INIT_MULTI_C) # define BN_MP_CLEAR_C +# define BN_MP_INIT_C #endif #if defined(BN_MP_INIT_SET_C) @@ -488,119 +545,102 @@ # define BN_MP_SET_C #endif -#if defined(BN_MP_INIT_SET_INT_C) +#if defined(BN_MP_INIT_SIZE_C) +#endif + +#if defined(BN_MP_INIT_U32_C) # define BN_MP_INIT_C -# define BN_MP_SET_INT_C +# define BN_MP_SET_U32_C #endif -#if defined(BN_MP_INIT_SIZE_C) +#if defined(BN_MP_INIT_U64_C) # define BN_MP_INIT_C +# define BN_MP_SET_U64_C #endif -#if defined(BN_MP_INVMOD_C) -# define BN_MP_CMP_D_C -# define BN_MP_ISODD_C -# define BN_FAST_MP_INVMOD_C -# define BN_MP_INVMOD_SLOW_C +#if defined(BN_MP_INIT_UL_C) +# define BN_MP_INIT_C +# define BN_MP_SET_UL_C #endif -#if defined(BN_MP_INVMOD_SLOW_C) -# define BN_MP_ISZERO_C -# define BN_MP_INIT_MULTI_C -# define BN_MP_MOD_C -# define BN_MP_COPY_C -# define BN_MP_ISEVEN_C -# define BN_MP_SET_C -# define BN_MP_DIV_2_C -# define BN_MP_ISODD_C -# define BN_MP_ADD_C -# define BN_MP_SUB_C -# define BN_MP_CMP_C +#if defined(BN_MP_INIT_ULL_C) +# define BN_MP_INIT_C +# define BN_MP_SET_ULL_C +#endif + +#if defined(BN_MP_INVMOD_C) # define BN_MP_CMP_D_C -# define BN_MP_CMP_MAG_C -# define BN_MP_EXCH_C -# define BN_MP_CLEAR_MULTI_C +# define BN_S_MP_INVMOD_FAST_C +# define BN_S_MP_INVMOD_SLOW_C #endif #if defined(BN_MP_IS_SQUARE_C) -# define BN_MP_MOD_D_C -# define BN_MP_INIT_SET_INT_C +# define BN_MP_CLEAR_C +# define BN_MP_CMP_MAG_C +# define BN_MP_GET_I32_C +# define BN_MP_INIT_U32_C # define BN_MP_MOD_C -# define BN_MP_GET_INT_C +# define BN_MP_MOD_D_C # define BN_MP_SQRT_C # define BN_MP_SQR_C -# define BN_MP_CMP_MAG_C -# define BN_MP_CLEAR_C -#endif - -#if defined(BN_MP_JACOBI_C) -# define BN_MP_KRONECKER_C -# define BN_MP_ISNEG_C -# define BN_MP_CMP_D_C #endif -#if defined(BN_MP_KARATSUBA_MUL_C) -# define BN_MP_MUL_C -# define BN_MP_INIT_SIZE_C -# define BN_MP_CLAMP_C -# define BN_S_MP_ADD_C -# define BN_MP_ADD_C -# define BN_S_MP_SUB_C -# define BN_MP_LSHD_C -# define BN_MP_CLEAR_C +#if defined(BN_MP_ISEVEN_C) #endif -#if defined(BN_MP_KARATSUBA_SQR_C) -# define BN_MP_INIT_SIZE_C -# define BN_MP_CLAMP_C -# define BN_MP_SQR_C -# define BN_S_MP_ADD_C -# define BN_S_MP_SUB_C -# define BN_MP_LSHD_C -# define BN_MP_ADD_C -# define BN_MP_CLEAR_C +#if defined(BN_MP_ISODD_C) #endif #if defined(BN_MP_KRONECKER_C) -# define BN_MP_ISZERO_C -# define BN_MP_ISEVEN_C -# define BN_MP_INIT_COPY_C -# define BN_MP_CNT_LSB_C -# define BN_MP_DIV_2D_C +# define BN_MP_CLEAR_C # define BN_MP_CMP_D_C +# define BN_MP_CNT_LSB_C # define BN_MP_COPY_C +# define BN_MP_DIV_2D_C +# define BN_MP_INIT_C +# define BN_MP_INIT_COPY_C # define BN_MP_MOD_C -# define BN_MP_CLEAR_C #endif #if defined(BN_MP_LCM_C) -# define BN_MP_INIT_MULTI_C -# define BN_MP_GCD_C +# define BN_MP_CLEAR_MULTI_C # define BN_MP_CMP_MAG_C # define BN_MP_DIV_C +# define BN_MP_GCD_C +# define BN_MP_INIT_MULTI_C # define BN_MP_MUL_C +#endif + +#if defined(BN_MP_LOG_U32_C) # define BN_MP_CLEAR_MULTI_C +# define BN_MP_CMP_C +# define BN_MP_CMP_D_C +# define BN_MP_COPY_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_EXCH_C +# define BN_MP_EXPT_U32_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_MUL_C +# define BN_MP_SET_C +# define BN_MP_SQR_C #endif #if defined(BN_MP_LSHD_C) -# define BN_MP_ISZERO_C # define BN_MP_GROW_C -# define BN_MP_RSHD_C #endif #if defined(BN_MP_MOD_C) -# define BN_MP_INIT_SIZE_C -# define BN_MP_DIV_C +# define BN_MP_ADD_C # define BN_MP_CLEAR_C -# define BN_MP_ISZERO_C +# define BN_MP_DIV_C # define BN_MP_EXCH_C -# define BN_MP_ADD_C +# define BN_MP_INIT_SIZE_C #endif #if defined(BN_MP_MOD_2D_C) -# define BN_MP_ZERO_C -# define BN_MP_COPY_C # define BN_MP_CLAMP_C +# define BN_MP_COPY_C +# define BN_MP_ZERO_C #endif #if defined(BN_MP_MOD_D_C) @@ -608,20 +648,20 @@ #endif #if defined(BN_MP_MONTGOMERY_CALC_NORMALIZATION_C) -# define BN_MP_COUNT_BITS_C # define BN_MP_2EXPT_C -# define BN_MP_SET_C -# define BN_MP_MUL_2_C # define BN_MP_CMP_MAG_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_MUL_2_C +# define BN_MP_SET_C # define BN_S_MP_SUB_C #endif #if defined(BN_MP_MONTGOMERY_REDUCE_C) -# define BN_FAST_MP_MONTGOMERY_REDUCE_C -# define BN_MP_GROW_C # define BN_MP_CLAMP_C -# define BN_MP_RSHD_C # define BN_MP_CMP_MAG_C +# define BN_MP_GROW_C +# define BN_MP_RSHD_C +# define BN_S_MP_MONTGOMERY_REDUCE_FAST_C # define BN_S_MP_SUB_C #endif @@ -629,11 +669,11 @@ #endif #if defined(BN_MP_MUL_C) -# define BN_MP_TOOM_MUL_C -# define BN_MP_KARATSUBA_MUL_C -# define BN_FAST_S_MP_MUL_DIGS_C -# define BN_S_MP_MUL_C +# define BN_S_MP_BALANCE_MUL_C +# define BN_S_MP_KARATSUBA_MUL_C # define BN_S_MP_MUL_DIGS_C +# define BN_S_MP_MUL_DIGS_FAST_C +# define BN_S_MP_TOOM_MUL_C #endif #if defined(BN_MP_MUL_2_C) @@ -641,276 +681,238 @@ #endif #if defined(BN_MP_MUL_2D_C) +# define BN_MP_CLAMP_C # define BN_MP_COPY_C # define BN_MP_GROW_C # define BN_MP_LSHD_C -# define BN_MP_CLAMP_C #endif #if defined(BN_MP_MUL_D_C) -# define BN_MP_GROW_C # define BN_MP_CLAMP_C +# define BN_MP_GROW_C #endif #if defined(BN_MP_MULMOD_C) -# define BN_MP_INIT_SIZE_C -# define BN_MP_MUL_C # define BN_MP_CLEAR_C +# define BN_MP_INIT_SIZE_C # define BN_MP_MOD_C -#endif - -#if defined(BN_MP_N_ROOT_C) -# define BN_MP_N_ROOT_EX_C -#endif - -#if defined(BN_MP_N_ROOT_EX_C) -# define BN_MP_INIT_C -# define BN_MP_SET_C -# define BN_MP_COPY_C -# define BN_MP_EXPT_D_EX_C # define BN_MP_MUL_C -# define BN_MP_SUB_C -# define BN_MP_MUL_D_C -# define BN_MP_DIV_C -# define BN_MP_CMP_C -# define BN_MP_SUB_D_C -# define BN_MP_EXCH_C -# define BN_MP_CLEAR_C #endif #if defined(BN_MP_NEG_C) # define BN_MP_COPY_C -# define BN_MP_ISZERO_C #endif #if defined(BN_MP_OR_C) -# define BN_MP_INIT_COPY_C # define BN_MP_CLAMP_C -# define BN_MP_EXCH_C +# define BN_MP_GROW_C +#endif + +#if defined(BN_MP_PACK_C) # define BN_MP_CLEAR_C +# define BN_MP_DIV_2D_C +# define BN_MP_INIT_COPY_C +# define BN_MP_PACK_COUNT_C +#endif + +#if defined(BN_MP_PACK_COUNT_C) +# define BN_MP_COUNT_BITS_C #endif #if defined(BN_MP_PRIME_FERMAT_C) +# define BN_MP_CLEAR_C +# define BN_MP_CMP_C # define BN_MP_CMP_D_C -# define BN_MP_INIT_C # define BN_MP_EXPTMOD_C -# define BN_MP_CMP_C -# define BN_MP_CLEAR_C +# define BN_MP_INIT_C #endif #if defined(BN_MP_PRIME_FROBENIUS_UNDERWOOD_C) -# define BN_MP_PRIME_IS_PRIME_C -# define BN_MP_INIT_MULTI_C -# define BN_MP_SET_LONG_C -# define BN_MP_SQR_C -# define BN_MP_SUB_D_C -# define BN_MP_KRONECKER_C -# define BN_MP_GCD_C +# define BN_MP_ADD_C # define BN_MP_ADD_D_C -# define BN_MP_SET_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_CMP_C # define BN_MP_COUNT_BITS_C +# define BN_MP_EXCH_C +# define BN_MP_GCD_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_KRONECKER_C +# define BN_MP_MOD_C # define BN_MP_MUL_2_C -# define BN_MP_MUL_D_C -# define BN_MP_ADD_C # define BN_MP_MUL_C +# define BN_MP_MUL_D_C +# define BN_MP_SET_C +# define BN_MP_SET_U32_C +# define BN_MP_SQR_C # define BN_MP_SUB_C -# define BN_MP_MOD_C -# define BN_MP_GET_BIT_C -# define BN_MP_EXCH_C -# define BN_MP_ISZERO_C -# define BN_MP_CMP_C -# define BN_MP_CLEAR_MULTI_C -#endif - -#if defined(BN_MP_PRIME_IS_DIVISIBLE_C) -# define BN_MP_MOD_D_C +# define BN_MP_SUB_D_C +# define BN_S_MP_GET_BIT_C #endif #if defined(BN_MP_PRIME_IS_PRIME_C) -# define BN_MP_ISEVEN_C -# define BN_MP_IS_SQUARE_C +# define BN_MP_CLEAR_C +# define BN_MP_CMP_C # define BN_MP_CMP_D_C -# define BN_MP_PRIME_IS_DIVISIBLE_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_DIV_2D_C # define BN_MP_INIT_SET_C +# define BN_MP_IS_SQUARE_C # define BN_MP_PRIME_MILLER_RABIN_C -# define BN_MP_PRIME_FROBENIUS_UNDERWOOD_C # define BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C +# define BN_MP_RAND_C # define BN_MP_READ_RADIX_C -# define BN_MP_CMP_C # define BN_MP_SET_C -# define BN_MP_COUNT_BITS_C -# define BN_MP_RAND_C -# define BN_MP_DIV_2D_C -# define BN_MP_CLEAR_C +# define BN_S_MP_PRIME_IS_DIVISIBLE_C #endif #if defined(BN_MP_PRIME_MILLER_RABIN_C) +# define BN_MP_CLEAR_C +# define BN_MP_CMP_C # define BN_MP_CMP_D_C -# define BN_MP_INIT_COPY_C -# define BN_MP_SUB_D_C # define BN_MP_CNT_LSB_C # define BN_MP_DIV_2D_C # define BN_MP_EXPTMOD_C -# define BN_MP_CMP_C +# define BN_MP_INIT_C +# define BN_MP_INIT_COPY_C # define BN_MP_SQRMOD_C -# define BN_MP_CLEAR_C +# define BN_MP_SUB_D_C #endif #if defined(BN_MP_PRIME_NEXT_PRIME_C) +# define BN_MP_ADD_D_C +# define BN_MP_CLEAR_C # define BN_MP_CMP_D_C -# define BN_MP_SET_C -# define BN_MP_SUB_D_C -# define BN_MP_ISEVEN_C -# define BN_MP_MOD_D_C # define BN_MP_INIT_C -# define BN_MP_ADD_D_C +# define BN_MP_MOD_D_C # define BN_MP_PRIME_IS_PRIME_C -# define BN_MP_CLEAR_C +# define BN_MP_SET_C +# define BN_MP_SUB_D_C #endif #if defined(BN_MP_PRIME_RABIN_MILLER_TRIALS_C) #endif -#if defined(BN_MP_PRIME_RANDOM_EX_C) -# define BN_MP_READ_UNSIGNED_BIN_C -# define BN_MP_PRIME_IS_PRIME_C -# define BN_MP_SUB_D_C +#if defined(BN_MP_PRIME_RAND_C) +# define BN_MP_ADD_D_C # define BN_MP_DIV_2_C +# define BN_MP_FROM_UBIN_C # define BN_MP_MUL_2_C -# define BN_MP_ADD_D_C +# define BN_MP_PRIME_IS_PRIME_C +# define BN_MP_SUB_D_C +# define BN_S_MP_PRIME_RANDOM_EX_C +# define BN_S_MP_RAND_CB_C +# define BN_S_MP_RAND_SOURCE_C #endif #if defined(BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C) -# define BN_MP_PRIME_IS_PRIME_C -# define BN_MP_MUL_D_C -# define BN_S_MP_MUL_SI_C -# define BN_MP_INIT_C -# define BN_MP_SET_LONG_C -# define BN_MP_MUL_C +# define BN_MP_ADD_C +# define BN_MP_ADD_D_C # define BN_MP_CLEAR_C -# define BN_MP_INIT_MULTI_C -# define BN_MP_GCD_C -# define BN_MP_CMP_D_C +# define BN_MP_CLEAR_MULTI_C # define BN_MP_CMP_C -# define BN_MP_KRONECKER_C -# define BN_MP_ADD_D_C +# define BN_MP_CMP_D_C # define BN_MP_CNT_LSB_C -# define BN_MP_DIV_2D_C -# define BN_MP_SET_C -# define BN_MP_MUL_2_C # define BN_MP_COUNT_BITS_C +# define BN_MP_DIV_2D_C +# define BN_MP_DIV_2_C +# define BN_MP_GCD_C +# define BN_MP_INIT_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_KRONECKER_C # define BN_MP_MOD_C +# define BN_MP_MUL_2_C +# define BN_MP_MUL_C +# define BN_MP_SET_C +# define BN_MP_SET_I32_C +# define BN_MP_SET_U32_C # define BN_MP_SQR_C # define BN_MP_SUB_C -# define BN_MP_GET_BIT_C -# define BN_MP_ADD_C -# define BN_MP_ISODD_C -# define BN_MP_DIV_2_C # define BN_MP_SUB_D_C -# define BN_MP_ISZERO_C -# define BN_MP_CLEAR_MULTI_C +# define BN_S_MP_GET_BIT_C +# define BN_S_MP_MUL_SI_C #endif #if defined(BN_MP_RADIX_SIZE_C) -# define BN_MP_ISZERO_C +# define BN_MP_CLEAR_C # define BN_MP_COUNT_BITS_C -# define BN_MP_INIT_COPY_C # define BN_MP_DIV_D_C -# define BN_MP_CLEAR_C +# define BN_MP_INIT_COPY_C #endif #if defined(BN_MP_RADIX_SMAP_C) -# define BN_MP_S_RMAP_C -# define BN_MP_S_RMAP_REVERSE_C -# define BN_MP_S_RMAP_REVERSE_SZ_C #endif #if defined(BN_MP_RAND_C) -# define BN_MP_RAND_DIGIT_C +# define BN_MP_GROW_C +# define BN_MP_RAND_SOURCE_C # define BN_MP_ZERO_C -# define BN_MP_ADD_D_C -# define BN_MP_LSHD_C +# define BN_S_MP_RAND_PLATFORM_C +# define BN_S_MP_RAND_SOURCE_C #endif #if defined(BN_MP_READ_RADIX_C) -# define BN_MP_ZERO_C -# define BN_MP_S_RMAP_REVERSE_SZ_C -# define BN_MP_S_RMAP_REVERSE_C -# define BN_MP_MUL_D_C # define BN_MP_ADD_D_C -# define BN_MP_ISZERO_C -#endif - -#if defined(BN_MP_READ_SIGNED_BIN_C) -# define BN_MP_READ_UNSIGNED_BIN_C -#endif - -#if defined(BN_MP_READ_UNSIGNED_BIN_C) -# define BN_MP_GROW_C +# define BN_MP_MUL_D_C # define BN_MP_ZERO_C -# define BN_MP_MUL_2D_C -# define BN_MP_CLAMP_C #endif #if defined(BN_MP_REDUCE_C) -# define BN_MP_REDUCE_SETUP_C +# define BN_MP_ADD_C +# define BN_MP_CLEAR_C +# define BN_MP_CMP_C +# define BN_MP_CMP_D_C # define BN_MP_INIT_COPY_C -# define BN_MP_RSHD_C -# define BN_MP_MUL_C -# define BN_S_MP_MUL_HIGH_DIGS_C -# define BN_FAST_S_MP_MUL_HIGH_DIGS_C +# define BN_MP_LSHD_C # define BN_MP_MOD_2D_C -# define BN_S_MP_MUL_DIGS_C -# define BN_MP_SUB_C -# define BN_MP_CMP_D_C +# define BN_MP_MUL_C +# define BN_MP_RSHD_C # define BN_MP_SET_C -# define BN_MP_LSHD_C -# define BN_MP_ADD_C -# define BN_MP_CMP_C +# define BN_MP_SUB_C +# define BN_S_MP_MUL_DIGS_C +# define BN_S_MP_MUL_HIGH_DIGS_C +# define BN_S_MP_MUL_HIGH_DIGS_FAST_C # define BN_S_MP_SUB_C -# define BN_MP_CLEAR_C #endif #if defined(BN_MP_REDUCE_2K_C) -# define BN_MP_INIT_C +# define BN_MP_CLEAR_C +# define BN_MP_CMP_MAG_C # define BN_MP_COUNT_BITS_C # define BN_MP_DIV_2D_C +# define BN_MP_INIT_C # define BN_MP_MUL_D_C # define BN_S_MP_ADD_C -# define BN_MP_CMP_MAG_C # define BN_S_MP_SUB_C -# define BN_MP_CLEAR_C #endif #if defined(BN_MP_REDUCE_2K_L_C) -# define BN_MP_INIT_C +# define BN_MP_CLEAR_C +# define BN_MP_CMP_MAG_C # define BN_MP_COUNT_BITS_C # define BN_MP_DIV_2D_C +# define BN_MP_INIT_C # define BN_MP_MUL_C # define BN_S_MP_ADD_C -# define BN_MP_CMP_MAG_C # define BN_S_MP_SUB_C -# define BN_MP_CLEAR_C #endif #if defined(BN_MP_REDUCE_2K_SETUP_C) -# define BN_MP_INIT_C -# define BN_MP_COUNT_BITS_C # define BN_MP_2EXPT_C # define BN_MP_CLEAR_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_C # define BN_S_MP_SUB_C #endif #if defined(BN_MP_REDUCE_2K_SETUP_L_C) -# define BN_MP_INIT_C # define BN_MP_2EXPT_C +# define BN_MP_CLEAR_C # define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_C # define BN_S_MP_SUB_C -# define BN_MP_CLEAR_C #endif #if defined(BN_MP_REDUCE_IS_2K_C) -# define BN_MP_REDUCE_2K_C # define BN_MP_COUNT_BITS_C #endif @@ -922,292 +924,379 @@ # define BN_MP_DIV_C #endif +#if defined(BN_MP_ROOT_U32_C) +# define BN_MP_2EXPT_C +# define BN_MP_ADD_D_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_CMP_C +# define BN_MP_COPY_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_DIV_C +# define BN_MP_EXCH_C +# define BN_MP_EXPT_U32_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_MUL_C +# define BN_MP_MUL_D_C +# define BN_MP_SET_C +# define BN_MP_SUB_C +# define BN_MP_SUB_D_C +#endif + #if defined(BN_MP_RSHD_C) # define BN_MP_ZERO_C #endif +#if defined(BN_MP_SBIN_SIZE_C) +# define BN_MP_UBIN_SIZE_C +#endif + #if defined(BN_MP_SET_C) -# define BN_MP_ZERO_C #endif -#if defined(BN_MP_SET_DOUBLE_C) -# define BN_MP_SET_LONG_LONG_C -# define BN_MP_DIV_2D_C -# define BN_MP_MUL_2D_C -# define BN_MP_ISZERO_C +#if defined(BN_MP_SET_I32_C) +# define BN_MP_SET_U32_C #endif -#if defined(BN_MP_SET_INT_C) -# define BN_MP_ZERO_C -# define BN_MP_MUL_2D_C -# define BN_MP_CLAMP_C +#if defined(BN_MP_SET_I64_C) +# define BN_MP_SET_U64_C +#endif + +#if defined(BN_MP_SET_L_C) +# define BN_MP_SET_UL_C #endif -#if defined(BN_MP_SET_LONG_C) +#if defined(BN_MP_SET_LL_C) +# define BN_MP_SET_ULL_C #endif -#if defined(BN_MP_SET_LONG_LONG_C) +#if defined(BN_MP_SET_U32_C) +#endif + +#if defined(BN_MP_SET_U64_C) +#endif + +#if defined(BN_MP_SET_UL_C) +#endif + +#if defined(BN_MP_SET_ULL_C) #endif #if defined(BN_MP_SHRINK_C) #endif -#if defined(BN_MP_SIGNED_BIN_SIZE_C) -# define BN_MP_UNSIGNED_BIN_SIZE_C +#if defined(BN_MP_SIGNED_RSH_C) +# define BN_MP_ADD_D_C +# define BN_MP_DIV_2D_C +# define BN_MP_SUB_D_C #endif #if defined(BN_MP_SQR_C) -# define BN_MP_TOOM_SQR_C -# define BN_MP_KARATSUBA_SQR_C -# define BN_FAST_S_MP_SQR_C +# define BN_S_MP_KARATSUBA_SQR_C # define BN_S_MP_SQR_C +# define BN_S_MP_SQR_FAST_C +# define BN_S_MP_TOOM_SQR_C #endif #if defined(BN_MP_SQRMOD_C) -# define BN_MP_INIT_C -# define BN_MP_SQR_C # define BN_MP_CLEAR_C +# define BN_MP_INIT_C # define BN_MP_MOD_C +# define BN_MP_SQR_C #endif #if defined(BN_MP_SQRT_C) -# define BN_MP_N_ROOT_C -# define BN_MP_ISZERO_C -# define BN_MP_ZERO_C -# define BN_MP_INIT_COPY_C -# define BN_MP_RSHD_C -# define BN_MP_DIV_C # define BN_MP_ADD_C -# define BN_MP_DIV_2_C +# define BN_MP_CLEAR_C # define BN_MP_CMP_MAG_C +# define BN_MP_DIV_2_C +# define BN_MP_DIV_C # define BN_MP_EXCH_C -# define BN_MP_CLEAR_C +# define BN_MP_INIT_C +# define BN_MP_INIT_COPY_C +# define BN_MP_RSHD_C +# define BN_MP_ZERO_C #endif #if defined(BN_MP_SQRTMOD_PRIME_C) -# define BN_MP_CMP_D_C -# define BN_MP_ZERO_C -# define BN_MP_JACOBI_C -# define BN_MP_INIT_MULTI_C -# define BN_MP_MOD_D_C # define BN_MP_ADD_D_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_CMP_D_C +# define BN_MP_COPY_C # define BN_MP_DIV_2_C # define BN_MP_EXPTMOD_C -# define BN_MP_COPY_C -# define BN_MP_SUB_D_C -# define BN_MP_ISEVEN_C -# define BN_MP_SET_INT_C -# define BN_MP_SQRMOD_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_KRONECKER_C +# define BN_MP_MOD_D_C # define BN_MP_MULMOD_C # define BN_MP_SET_C -# define BN_MP_CLEAR_MULTI_C +# define BN_MP_SET_U32_C +# define BN_MP_SQRMOD_C +# define BN_MP_SUB_D_C +# define BN_MP_ZERO_C #endif #if defined(BN_MP_SUB_C) -# define BN_S_MP_ADD_C # define BN_MP_CMP_MAG_C +# define BN_S_MP_ADD_C # define BN_S_MP_SUB_C #endif #if defined(BN_MP_SUB_D_C) -# define BN_MP_GROW_C # define BN_MP_ADD_D_C # define BN_MP_CLAMP_C +# define BN_MP_GROW_C #endif #if defined(BN_MP_SUBMOD_C) -# define BN_MP_INIT_C -# define BN_MP_SUB_C # define BN_MP_CLEAR_C +# define BN_MP_INIT_C # define BN_MP_MOD_C +# define BN_MP_SUB_C #endif -#if defined(BN_MP_TC_AND_C) -# define BN_MP_ISNEG_C -# define BN_MP_COUNT_BITS_C -# define BN_MP_INIT_SET_INT_C -# define BN_MP_MUL_2D_C -# define BN_MP_INIT_C -# define BN_MP_ADD_C +#if defined(BN_MP_TO_RADIX_C) # define BN_MP_CLEAR_C -# define BN_MP_AND_C -# define BN_MP_SUB_C +# define BN_MP_DIV_D_C +# define BN_MP_INIT_COPY_C +# define BN_S_MP_REVERSE_C #endif -#if defined(BN_MP_TC_DIV_2D_C) -# define BN_MP_ISNEG_C -# define BN_MP_DIV_2D_C -# define BN_MP_ADD_D_C -# define BN_MP_SUB_D_C +#if defined(BN_MP_TO_SBIN_C) +# define BN_MP_TO_UBIN_C #endif -#if defined(BN_MP_TC_OR_C) -# define BN_MP_ISNEG_C -# define BN_MP_COUNT_BITS_C -# define BN_MP_INIT_SET_INT_C -# define BN_MP_MUL_2D_C -# define BN_MP_INIT_C -# define BN_MP_ADD_C +#if defined(BN_MP_TO_UBIN_C) # define BN_MP_CLEAR_C -# define BN_MP_OR_C -# define BN_MP_SUB_C +# define BN_MP_DIV_2D_C +# define BN_MP_INIT_COPY_C +# define BN_MP_UBIN_SIZE_C #endif -#if defined(BN_MP_TC_XOR_C) -# define BN_MP_ISNEG_C +#if defined(BN_MP_UBIN_SIZE_C) # define BN_MP_COUNT_BITS_C -# define BN_MP_INIT_SET_INT_C +#endif + +#if defined(BN_MP_UNPACK_C) +# define BN_MP_CLAMP_C # define BN_MP_MUL_2D_C -# define BN_MP_INIT_C -# define BN_MP_ADD_C -# define BN_MP_CLEAR_C -# define BN_MP_XOR_C -# define BN_MP_SUB_C +# define BN_MP_ZERO_C #endif -#if defined(BN_MP_TO_SIGNED_BIN_C) -# define BN_MP_TO_UNSIGNED_BIN_C +#if defined(BN_MP_XOR_C) +# define BN_MP_CLAMP_C +# define BN_MP_GROW_C #endif -#if defined(BN_MP_TO_SIGNED_BIN_N_C) -# define BN_MP_SIGNED_BIN_SIZE_C -# define BN_MP_TO_SIGNED_BIN_C +#if defined(BN_MP_ZERO_C) #endif -#if defined(BN_MP_TO_UNSIGNED_BIN_C) -# define BN_MP_INIT_COPY_C -# define BN_MP_ISZERO_C -# define BN_MP_DIV_2D_C -# define BN_MP_CLEAR_C +#if defined(BN_PRIME_TAB_C) #endif -#if defined(BN_MP_TO_UNSIGNED_BIN_N_C) -# define BN_MP_UNSIGNED_BIN_SIZE_C -# define BN_MP_TO_UNSIGNED_BIN_C +#if defined(BN_S_MP_ADD_C) +# define BN_MP_CLAMP_C +# define BN_MP_GROW_C #endif -#if defined(BN_MP_TOOM_MUL_C) -# define BN_MP_INIT_MULTI_C -# define BN_MP_MOD_2D_C -# define BN_MP_COPY_C -# define BN_MP_RSHD_C -# define BN_MP_MUL_C -# define BN_MP_MUL_2_C +#if defined(BN_S_MP_BALANCE_MUL_C) # define BN_MP_ADD_C -# define BN_MP_SUB_C -# define BN_MP_DIV_2_C -# define BN_MP_MUL_2D_C -# define BN_MP_MUL_D_C -# define BN_MP_DIV_3_C -# define BN_MP_LSHD_C +# define BN_MP_CLAMP_C +# define BN_MP_CLEAR_C # define BN_MP_CLEAR_MULTI_C -#endif - -#if defined(BN_MP_TOOM_SQR_C) +# define BN_MP_EXCH_C # define BN_MP_INIT_MULTI_C -# define BN_MP_MOD_2D_C -# define BN_MP_COPY_C -# define BN_MP_RSHD_C -# define BN_MP_SQR_C -# define BN_MP_MUL_2_C -# define BN_MP_ADD_C -# define BN_MP_SUB_C -# define BN_MP_DIV_2_C -# define BN_MP_MUL_2D_C -# define BN_MP_MUL_D_C -# define BN_MP_DIV_3_C +# define BN_MP_INIT_SIZE_C # define BN_MP_LSHD_C -# define BN_MP_CLEAR_MULTI_C +# define BN_MP_MUL_C #endif -#if defined(BN_MP_TORADIX_C) -# define BN_MP_ISZERO_C -# define BN_MP_INIT_COPY_C -# define BN_MP_DIV_D_C +#if defined(BN_S_MP_EXPTMOD_C) # define BN_MP_CLEAR_C -# define BN_MP_S_RMAP_C +# define BN_MP_COPY_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_EXCH_C +# define BN_MP_INIT_C +# define BN_MP_MOD_C +# define BN_MP_MUL_C +# define BN_MP_REDUCE_2K_L_C +# define BN_MP_REDUCE_2K_SETUP_L_C +# define BN_MP_REDUCE_C +# define BN_MP_REDUCE_SETUP_C +# define BN_MP_SET_C +# define BN_MP_SQR_C #endif -#if defined(BN_MP_TORADIX_N_C) -# define BN_MP_ISZERO_C -# define BN_MP_INIT_COPY_C -# define BN_MP_DIV_D_C +#if defined(BN_S_MP_EXPTMOD_FAST_C) # define BN_MP_CLEAR_C -# define BN_MP_S_RMAP_C +# define BN_MP_COPY_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_DR_REDUCE_C +# define BN_MP_DR_SETUP_C +# define BN_MP_EXCH_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_MOD_C +# define BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +# define BN_MP_MONTGOMERY_REDUCE_C +# define BN_MP_MONTGOMERY_SETUP_C +# define BN_MP_MULMOD_C +# define BN_MP_MUL_C +# define BN_MP_REDUCE_2K_C +# define BN_MP_REDUCE_2K_SETUP_C +# define BN_MP_SET_C +# define BN_MP_SQR_C +# define BN_S_MP_MONTGOMERY_REDUCE_FAST_C #endif -#if defined(BN_MP_UNSIGNED_BIN_SIZE_C) -# define BN_MP_COUNT_BITS_C +#if defined(BN_S_MP_GET_BIT_C) #endif -#if defined(BN_MP_XOR_C) -# define BN_MP_INIT_COPY_C -# define BN_MP_CLAMP_C +#if defined(BN_S_MP_INVMOD_FAST_C) +# define BN_MP_ADD_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_CMP_C +# define BN_MP_CMP_D_C +# define BN_MP_CMP_MAG_C +# define BN_MP_COPY_C +# define BN_MP_DIV_2_C # define BN_MP_EXCH_C -# define BN_MP_CLEAR_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_MOD_C +# define BN_MP_SET_C +# define BN_MP_SUB_C #endif -#if defined(BN_MP_ZERO_C) +#if defined(BN_S_MP_INVMOD_SLOW_C) +# define BN_MP_ADD_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_CMP_C +# define BN_MP_CMP_D_C +# define BN_MP_CMP_MAG_C +# define BN_MP_COPY_C +# define BN_MP_DIV_2_C +# define BN_MP_EXCH_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_MOD_C +# define BN_MP_SET_C +# define BN_MP_SUB_C #endif -#if defined(BN_PRIME_TAB_C) +#if defined(BN_S_MP_KARATSUBA_MUL_C) +# define BN_MP_ADD_C +# define BN_MP_CLAMP_C +# define BN_MP_CLEAR_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_LSHD_C +# define BN_MP_MUL_C +# define BN_S_MP_ADD_C +# define BN_S_MP_SUB_C #endif -#if defined(BN_REVERSE_C) +#if defined(BN_S_MP_KARATSUBA_SQR_C) +# define BN_MP_ADD_C +# define BN_MP_CLAMP_C +# define BN_MP_CLEAR_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_LSHD_C +# define BN_MP_SQR_C +# define BN_S_MP_ADD_C +# define BN_S_MP_SUB_C #endif -#if defined(BN_S_MP_ADD_C) -# define BN_MP_GROW_C +#if defined(BN_S_MP_MONTGOMERY_REDUCE_FAST_C) # define BN_MP_CLAMP_C +# define BN_MP_CMP_MAG_C +# define BN_MP_GROW_C +# define BN_S_MP_SUB_C #endif -#if defined(BN_S_MP_EXPTMOD_C) -# define BN_MP_COUNT_BITS_C -# define BN_MP_INIT_C +#if defined(BN_S_MP_MUL_DIGS_C) +# define BN_MP_CLAMP_C # define BN_MP_CLEAR_C -# define BN_MP_REDUCE_SETUP_C -# define BN_MP_REDUCE_C -# define BN_MP_REDUCE_2K_SETUP_L_C -# define BN_MP_REDUCE_2K_L_C -# define BN_MP_MOD_C -# define BN_MP_COPY_C -# define BN_MP_SQR_C -# define BN_MP_MUL_C -# define BN_MP_SET_C # define BN_MP_EXCH_C +# define BN_MP_INIT_SIZE_C +# define BN_S_MP_MUL_DIGS_FAST_C #endif -#if defined(BN_S_MP_MUL_DIGS_C) -# define BN_FAST_S_MP_MUL_DIGS_C -# define BN_MP_INIT_SIZE_C +#if defined(BN_S_MP_MUL_DIGS_FAST_C) # define BN_MP_CLAMP_C -# define BN_MP_EXCH_C -# define BN_MP_CLEAR_C +# define BN_MP_GROW_C #endif #if defined(BN_S_MP_MUL_HIGH_DIGS_C) -# define BN_FAST_S_MP_MUL_HIGH_DIGS_C -# define BN_MP_INIT_SIZE_C # define BN_MP_CLAMP_C -# define BN_MP_EXCH_C # define BN_MP_CLEAR_C +# define BN_MP_EXCH_C +# define BN_MP_INIT_SIZE_C +# define BN_S_MP_MUL_HIGH_DIGS_FAST_C +#endif + +#if defined(BN_S_MP_MUL_HIGH_DIGS_FAST_C) +# define BN_MP_CLAMP_C +# define BN_MP_GROW_C +#endif + +#if defined(BN_S_MP_PRIME_IS_DIVISIBLE_C) +# define BN_MP_MOD_D_C +#endif + +#if defined(BN_S_MP_RAND_JENKINS_C) +# define BN_S_MP_RAND_JENKINS_INIT_C +#endif + +#if defined(BN_S_MP_RAND_PLATFORM_C) +#endif + +#if defined(BN_S_MP_REVERSE_C) #endif #if defined(BN_S_MP_SQR_C) -# define BN_MP_INIT_SIZE_C # define BN_MP_CLAMP_C -# define BN_MP_EXCH_C # define BN_MP_CLEAR_C +# define BN_MP_EXCH_C +# define BN_MP_INIT_SIZE_C +#endif + +#if defined(BN_S_MP_SQR_FAST_C) +# define BN_MP_CLAMP_C +# define BN_MP_GROW_C #endif #if defined(BN_S_MP_SUB_C) +# define BN_MP_CLAMP_C # define BN_MP_GROW_C +#endif + +#if defined(BN_S_MP_TOOM_MUL_C) +# define BN_MP_ADD_C # define BN_MP_CLAMP_C +# define BN_MP_CLEAR_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_DIV_2_C +# define BN_MP_DIV_3_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_LSHD_C +# define BN_MP_MUL_2_C +# define BN_MP_MUL_C +# define BN_MP_SUB_C #endif -#if defined(BNCORE_C) +#if defined(BN_S_MP_TOOM_SQR_C) +# define BN_MP_ADD_C +# define BN_MP_CLAMP_C +# define BN_MP_CLEAR_C +# define BN_MP_DIV_2_C +# define BN_MP_INIT_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_LSHD_C +# define BN_MP_MUL_2_C +# define BN_MP_MUL_C +# define BN_MP_SQR_C +# define BN_MP_SUB_C #endif +#ifdef LTM_INSIDE +#undef LTM_INSIDE #ifdef LTM3 # define LTM_LAST #endif @@ -1225,11 +1314,7 @@ #undef BN_MP_TOOM_SQR_C #include "dbmalloc.h" -#define XMALLOC m_malloc -#define XFREE m_free_direct -#define XREALLOC m_realloc -#define XCALLOC m_calloc - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ +#define MP_MALLOC m_malloc +#define MP_FREE m_free_ltm +#define MP_REALLOC m_realloc_ltm +#define MP_CALLOC m_calloc diff --git a/libtommath/tommath_cutoffs.h b/libtommath/tommath_cutoffs.h new file mode 100644 index 0000000..a65a9b3 --- /dev/null +++ b/libtommath/tommath_cutoffs.h @@ -0,0 +1,13 @@ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ +/* + Current values evaluated on an AMD A8-6600K (64-bit). + Type "make tune" to optimize them for your machine but + be aware that it may take a long time. It took 2:30 minutes + on the aforementioned machine for example. + */ + +#define MP_DEFAULT_KARATSUBA_MUL_CUTOFF 80 +#define MP_DEFAULT_KARATSUBA_SQR_CUTOFF 120 +#define MP_DEFAULT_TOOM_MUL_CUTOFF 350 +#define MP_DEFAULT_TOOM_SQR_CUTOFF 400 diff --git a/libtommath/tommath_private.h b/libtommath/tommath_private.h index 305cfde..1a0096f 100644 --- a/libtommath/tommath_private.h +++ b/libtommath/tommath_private.h @@ -1,122 +1,303 @@ -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ + #ifndef TOMMATH_PRIV_H_ #define TOMMATH_PRIV_H_ #include "tommath.h" -#include +#include "tommath_class.h" -#ifndef MIN -#define MIN(x, y) (((x) < (y)) ? (x) : (y)) +/* + * Private symbols + * --------------- + * + * On Unix symbols can be marked as hidden if libtommath is compiled + * as a shared object. By default, symbols are visible. + * As of now, this feature is opt-in via the MP_PRIVATE_SYMBOLS define. + * + * On Win32 a .def file must be used to specify the exported symbols. + */ +#if defined (MP_PRIVATE_SYMBOLS) && defined(__GNUC__) && __GNUC__ >= 4 +# define MP_PRIVATE __attribute__ ((visibility ("hidden"))) +#else +# define MP_PRIVATE #endif -#ifndef MAX -#define MAX(x, y) (((x) > (y)) ? (x) : (y)) +/* Hardening libtommath + * -------------------- + * + * By default memory is zeroed before calling + * MP_FREE to avoid leaking data. This is good + * practice in cryptographical applications. + * + * Note however that memory allocators used + * in cryptographical applications can often + * be configured by itself to clear memory, + * rendering the clearing in tommath unnecessary. + * See for example https://github.com/GrapheneOS/hardened_malloc + * and the option CONFIG_ZERO_ON_FREE. + * + * Furthermore there are applications which + * value performance more and want this + * feature to be disabled. For such applications + * define MP_NO_ZERO_ON_FREE during compilation. + */ +#ifdef MP_NO_ZERO_ON_FREE +# define MP_FREE_BUFFER(mem, size) MP_FREE((mem), (size)) +# define MP_FREE_DIGITS(mem, digits) MP_FREE((mem), sizeof (mp_digit) * (size_t)(digits)) +#else +# define MP_FREE_BUFFER(mem, size) \ +do { \ + size_t fs_ = (size); \ + void* fm_ = (mem); \ + if (fm_ != NULL) { \ + MP_ZERO_BUFFER(fm_, fs_); \ + MP_FREE(fm_, fs_); \ + } \ +} while (0) +# define MP_FREE_DIGITS(mem, digits) \ +do { \ + int fd_ = (digits); \ + void* fm_ = (mem); \ + if (fm_ != NULL) { \ + size_t fs_ = sizeof (mp_digit) * (size_t)fd_; \ + MP_ZERO_BUFFER(fm_, fs_); \ + MP_FREE(fm_, fs_); \ + } \ +} while (0) #endif -#ifdef __cplusplus -extern "C" { - -/* C++ compilers don't like assigning void * to mp_digit * */ -#define OPT_CAST(x) (x *) - +#ifdef MP_USE_MEMSET +# include +# define MP_ZERO_BUFFER(mem, size) memset((mem), 0, (size)) +# define MP_ZERO_DIGITS(mem, digits) \ +do { \ + int zd_ = (digits); \ + if (zd_ > 0) { \ + memset((mem), 0, sizeof(mp_digit) * (size_t)zd_); \ + } \ +} while (0) #else +# define MP_ZERO_BUFFER(mem, size) \ +do { \ + size_t zs_ = (size); \ + char* zm_ = (char*)(mem); \ + while (zs_-- > 0u) { \ + *zm_++ = '\0'; \ + } \ +} while (0) +# define MP_ZERO_DIGITS(mem, digits) \ +do { \ + int zd_ = (digits); \ + mp_digit* zm_ = (mem); \ + while (zd_-- > 0) { \ + *zm_++ = 0; \ + } \ +} while (0) +#endif -/* C on the other hand doesn't care */ -#define OPT_CAST(x) +/* Tunable cutoffs + * --------------- + * + * - In the default settings, a cutoff X can be modified at runtime + * by adjusting the corresponding X_CUTOFF variable. + * + * - Tunability of the library can be disabled at compile time + * by defining the MP_FIXED_CUTOFFS macro. + * + * - There is an additional file tommath_cutoffs.h, which defines + * the default cutoffs. These can be adjusted manually or by the + * autotuner. + * + */ +#ifdef MP_FIXED_CUTOFFS +# include "tommath_cutoffs.h" +# define MP_KARATSUBA_MUL_CUTOFF MP_DEFAULT_KARATSUBA_MUL_CUTOFF +# define MP_KARATSUBA_SQR_CUTOFF MP_DEFAULT_KARATSUBA_SQR_CUTOFF +# define MP_TOOM_MUL_CUTOFF MP_DEFAULT_TOOM_MUL_CUTOFF +# define MP_TOOM_SQR_CUTOFF MP_DEFAULT_TOOM_SQR_CUTOFF +#else +# define MP_KARATSUBA_MUL_CUTOFF KARATSUBA_MUL_CUTOFF +# define MP_KARATSUBA_SQR_CUTOFF KARATSUBA_SQR_CUTOFF +# define MP_TOOM_MUL_CUTOFF TOOM_MUL_CUTOFF +# define MP_TOOM_SQR_CUTOFF TOOM_SQR_CUTOFF #endif /* define heap macros */ -#ifndef XMALLOC +#ifndef MP_MALLOC /* default to libc stuff */ -# define XMALLOC malloc -# define XFREE free -# define XREALLOC realloc -# define XCALLOC calloc +# include +# define MP_MALLOC(size) malloc(size) +# define MP_REALLOC(mem, oldsize, newsize) realloc((mem), (newsize)) +# define MP_CALLOC(nmemb, size) calloc((nmemb), (size)) +# define MP_FREE(mem, size) free(mem) #else /* prototypes for our heap functions */ -extern void *XMALLOC(size_t n); -extern void *XREALLOC(void *p, size_t n); -extern void *XCALLOC(size_t n, size_t s); -extern void XFREE(void *p); +extern void *MP_MALLOC(size_t size); +extern void *MP_REALLOC(void *mem, size_t oldsize, size_t newsize); +extern void *MP_CALLOC(size_t nmemb, size_t size); +extern void MP_FREE(void *mem, size_t size); #endif -/* lowlevel functions, do not call! */ -int s_mp_add(const mp_int *a, const mp_int *b, mp_int *c); -int s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c); -#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) -int fast_s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs); -int s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs); -int fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs); -int s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs); -int fast_s_mp_sqr(const mp_int *a, mp_int *b); -int s_mp_sqr(const mp_int *a, mp_int *b); -int mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c); -int mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c); -int mp_karatsuba_sqr(const mp_int *a, mp_int *b); -int mp_toom_sqr(const mp_int *a, mp_int *b); -int fast_mp_invmod(const mp_int *a, const mp_int *b, mp_int *c); -int mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c); -int fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho); -int mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode); -int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode); -void bn_reverse(unsigned char *s, int len); - -extern const char *const mp_s_rmap; -extern const uint8_t mp_s_rmap_reverse[]; -extern const size_t mp_s_rmap_reverse_sz; - -/* Fancy macro to set an MPI from another type. - * There are several things assumed: - * x is the counter and unsigned - * a is the pointer to the MPI - * b is the original value that should be set in the MPI. - */ -#define MP_SET_XLONG(func_name, type) \ -int func_name (mp_int * a, type b) \ -{ \ - unsigned int x; \ - int res; \ - \ - mp_zero (a); \ - \ - /* set four bits at a time */ \ - for (x = 0; x < (sizeof(type) * 2u); x++) { \ - /* shift the number up four bits */ \ - if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { \ - return res; \ - } \ - \ - /* OR in the top four bits of the source */ \ - a->dp[0] |= (mp_digit)(b >> ((sizeof(type) * 8u) - 4u)) & 15uL;\ - \ - /* shift the source up to the next four bits */ \ - b <<= 4; \ - \ - /* ensure that digits are not clamped off */ \ - a->used += 1; \ - } \ - mp_clamp (a); \ - return MP_OKAY; \ -} - -#ifdef __cplusplus -} +/* feature detection macro */ +#ifdef _MSC_VER +/* Prevent false positive: not enough arguments for function-like macro invocation */ +#pragma warning(disable: 4003) #endif +#define MP_STRINGIZE(x) MP__STRINGIZE(x) +#define MP__STRINGIZE(x) ""#x"" +#define MP_HAS(x) (sizeof(MP_STRINGIZE(BN_##x##_C)) == 1u) + +/* TODO: Remove private_mp_word as soon as deprecated mp_word is removed from tommath. */ +#undef mp_word +typedef private_mp_word mp_word; + +#define MP_MIN(x, y) (((x) < (y)) ? (x) : (y)) +#define MP_MAX(x, y) (((x) > (y)) ? (x) : (y)) + +/* Static assertion */ +#define MP_STATIC_ASSERT(msg, cond) typedef char mp_static_assert_##msg[(cond) ? 1 : -1]; + +/* ---> Basic Manipulations <--- */ +#define MP_IS_ZERO(a) ((a)->used == 0) +#define MP_IS_EVEN(a) (((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) +#define MP_IS_ODD(a) (((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) +#define MP_SIZEOF_BITS(type) ((size_t)CHAR_BIT * sizeof(type)) +#define MP_MAXFAST (int)(1uL << (MP_SIZEOF_BITS(mp_word) - (2u * (size_t)MP_DIGIT_BIT))) + +/* TODO: Remove PRIVATE_MP_WARRAY as soon as deprecated MP_WARRAY is removed from tommath.h */ +#undef MP_WARRAY +#define MP_WARRAY PRIVATE_MP_WARRAY + +/* TODO: Remove PRIVATE_MP_PREC as soon as deprecated MP_PREC is removed from tommath.h */ +#ifdef PRIVATE_MP_PREC +# undef MP_PREC +# define MP_PREC PRIVATE_MP_PREC #endif +/* Minimum number of available digits in mp_int, MP_PREC >= MP_MIN_PREC */ +#define MP_MIN_PREC ((((int)MP_SIZEOF_BITS(long long) + MP_DIGIT_BIT) - 1) / MP_DIGIT_BIT) + +MP_STATIC_ASSERT(prec_geq_min_prec, MP_PREC >= MP_MIN_PREC) + +/* random number source */ +extern MP_PRIVATE mp_err(*s_mp_rand_source)(void *out, size_t size); + +/* lowlevel functions, do not call! */ +MP_PRIVATE mp_bool s_mp_get_bit(const mp_int *a, unsigned int b); +MP_PRIVATE mp_err s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +MP_PRIVATE mp_err s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +MP_PRIVATE mp_err s_mp_mul_digs_fast(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR; +MP_PRIVATE mp_err s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR; +MP_PRIVATE mp_err s_mp_mul_high_digs_fast(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR; +MP_PRIVATE mp_err s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) MP_WUR; +MP_PRIVATE mp_err s_mp_sqr_fast(const mp_int *a, mp_int *b) MP_WUR; +MP_PRIVATE mp_err s_mp_sqr(const mp_int *a, mp_int *b) MP_WUR; +MP_PRIVATE mp_err s_mp_balance_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +MP_PRIVATE mp_err s_mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +MP_PRIVATE mp_err s_mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +MP_PRIVATE mp_err s_mp_karatsuba_sqr(const mp_int *a, mp_int *b) MP_WUR; +MP_PRIVATE mp_err s_mp_toom_sqr(const mp_int *a, mp_int *b) MP_WUR; +MP_PRIVATE mp_err s_mp_invmod_fast(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +MP_PRIVATE mp_err s_mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; +MP_PRIVATE mp_err s_mp_montgomery_reduce_fast(mp_int *x, const mp_int *n, mp_digit rho) MP_WUR; +MP_PRIVATE mp_err s_mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) MP_WUR; +MP_PRIVATE mp_err s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) MP_WUR; +MP_PRIVATE mp_err s_mp_rand_platform(void *p, size_t n) MP_WUR; +MP_PRIVATE mp_err s_mp_prime_random_ex(mp_int *a, int t, int size, int flags, private_mp_prime_callback cb, void *dat); +MP_PRIVATE void s_mp_reverse(unsigned char *s, size_t len); +MP_PRIVATE mp_err s_mp_prime_is_divisible(const mp_int *a, mp_bool *result); + +/* TODO: jenkins prng is not thread safe as of now */ +MP_PRIVATE mp_err s_mp_rand_jenkins(void *p, size_t n) MP_WUR; +MP_PRIVATE void s_mp_rand_jenkins_init(uint64_t seed); + +extern MP_PRIVATE const char *const mp_s_rmap; +extern MP_PRIVATE const uint8_t mp_s_rmap_reverse[]; +extern MP_PRIVATE const size_t mp_s_rmap_reverse_sz; +extern MP_PRIVATE const mp_digit *s_mp_prime_tab; + +/* deprecated functions */ +MP_DEPRECATED(s_mp_invmod_fast) mp_err fast_mp_invmod(const mp_int *a, const mp_int *b, mp_int *c); +MP_DEPRECATED(s_mp_montgomery_reduce_fast) mp_err fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, + mp_digit rho); +MP_DEPRECATED(s_mp_mul_digs_fast) mp_err fast_s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, + int digs); +MP_DEPRECATED(s_mp_mul_high_digs_fast) mp_err fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b, + mp_int *c, + int digs); +MP_DEPRECATED(s_mp_sqr_fast) mp_err fast_s_mp_sqr(const mp_int *a, mp_int *b); +MP_DEPRECATED(s_mp_balance_mul) mp_err mp_balance_mul(const mp_int *a, const mp_int *b, mp_int *c); +MP_DEPRECATED(s_mp_exptmod_fast) mp_err mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, + mp_int *Y, + int redmode); +MP_DEPRECATED(s_mp_invmod_slow) mp_err mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c); +MP_DEPRECATED(s_mp_karatsuba_mul) mp_err mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c); +MP_DEPRECATED(s_mp_karatsuba_sqr) mp_err mp_karatsuba_sqr(const mp_int *a, mp_int *b); +MP_DEPRECATED(s_mp_toom_mul) mp_err mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c); +MP_DEPRECATED(s_mp_toom_sqr) mp_err mp_toom_sqr(const mp_int *a, mp_int *b); +MP_DEPRECATED(s_mp_reverse) void bn_reverse(unsigned char *s, int len); + +#define MP_GET_ENDIANNESS(x) \ + do{\ + int16_t n = 0x1; \ + char *p = (char *)&n; \ + x = (p[0] == '\x01') ? MP_LITTLE_ENDIAN : MP_BIG_ENDIAN; \ + } while (0) + +/* code-generating macros */ +#define MP_SET_UNSIGNED(name, type) \ + void name(mp_int * a, type b) \ + { \ + int i = 0; \ + while (b != 0u) { \ + a->dp[i++] = ((mp_digit)b & MP_MASK); \ + if (MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) { break; } \ + b >>= ((MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) ? 0 : MP_DIGIT_BIT); \ + } \ + a->used = i; \ + a->sign = MP_ZPOS; \ + MP_ZERO_DIGITS(a->dp + a->used, a->alloc - a->used); \ + } -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ +#define MP_SET_SIGNED(name, uname, type, utype) \ + void name(mp_int * a, type b) \ + { \ + uname(a, (b < 0) ? -(utype)b : (utype)b); \ + if (b < 0) { a->sign = MP_NEG; } \ + } + +#define MP_INIT_INT(name , set, type) \ + mp_err name(mp_int * a, type b) \ + { \ + mp_err err; \ + if ((err = mp_init(a)) != MP_OKAY) { \ + return err; \ + } \ + set(a, b); \ + return MP_OKAY; \ + } + +#define MP_GET_MAG(name, type) \ + type name(const mp_int* a) \ + { \ + unsigned i = MP_MIN((unsigned)a->used, (unsigned)((MP_SIZEOF_BITS(type) + MP_DIGIT_BIT - 1) / MP_DIGIT_BIT)); \ + type res = 0u; \ + while (i --> 0u) { \ + res <<= ((MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) ? 0 : MP_DIGIT_BIT); \ + res |= (type)a->dp[i]; \ + if (MP_SIZEOF_BITS(type) <= MP_DIGIT_BIT) { break; } \ + } \ + return res; \ + } + +#define MP_GET_SIGNED(name, mag, type, utype) \ + type name(const mp_int* a) \ + { \ + utype res = mag(a); \ + return (a->sign == MP_NEG) ? (type)-res : (type)res; \ + } + +#endif diff --git a/libtommath/tommath_superclass.h b/libtommath/tommath_superclass.h index f610c95..d88bce9 100644 --- a/libtommath/tommath_superclass.h +++ b/libtommath/tommath_superclass.h @@ -1,22 +1,16 @@ -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * SPDX-License-Identifier: Unlicense - */ +/* LibTomMath, multiple-precision integer library -- Tom St Denis */ +/* SPDX-License-Identifier: Unlicense */ /* super class file for PK algos */ /* default ... include all MPI */ +#ifndef LTM_NOTHING #define LTM_ALL +#endif /* RSA only (does not support DH/DSA/ECC) */ /* #define SC_RSA_1 */ +/* #define SC_RSA_1_WITH_TESTS */ /* For reference.... On an Athlon64 optimizing for speed... @@ -24,65 +18,93 @@ */ +#ifdef SC_RSA_1_WITH_TESTS +# define BN_MP_ERROR_TO_STRING_C +# define BN_MP_FREAD_C +# define BN_MP_FWRITE_C +# define BN_MP_INCR_C +# define BN_MP_ISEVEN_C +# define BN_MP_ISODD_C +# define BN_MP_NEG_C +# define BN_MP_PRIME_FROBENIUS_UNDERWOOD_C +# define BN_MP_RADIX_SIZE_C +# define BN_MP_RAND_C +# define BN_MP_REDUCE_C +# define BN_MP_REDUCE_2K_L_C +# define BN_MP_FROM_SBIN_C +# define BN_MP_ROOT_U32_C +# define BN_MP_SET_L_C +# define BN_MP_SET_UL_C +# define BN_MP_SBIN_SIZE_C +# define BN_MP_TO_RADIX_C +# define BN_MP_TO_SBIN_C +# define BN_S_MP_RAND_JENKINS_C +# define BN_S_MP_RAND_PLATFORM_C +#endif + /* Works for RSA only, mpi.o is 68KiB */ -#ifdef SC_RSA_1 -# define BN_MP_SHRINK_C -# define BN_MP_LCM_C -# define BN_MP_PRIME_RANDOM_EX_C -# define BN_MP_INVMOD_C -# define BN_MP_GCD_C -# define BN_MP_MOD_C -# define BN_MP_MULMOD_C +#if defined(SC_RSA_1) || defined (SC_RSA_1_WITH_TESTS) +# define BN_CUTOFFS_C # define BN_MP_ADDMOD_C +# define BN_MP_CLEAR_MULTI_C # define BN_MP_EXPTMOD_C -# define BN_MP_SET_INT_C +# define BN_MP_GCD_C # define BN_MP_INIT_MULTI_C -# define BN_MP_CLEAR_MULTI_C -# define BN_MP_UNSIGNED_BIN_SIZE_C -# define BN_MP_TO_UNSIGNED_BIN_C +# define BN_MP_INVMOD_C +# define BN_MP_LCM_C +# define BN_MP_MOD_C # define BN_MP_MOD_D_C +# define BN_MP_MULMOD_C +# define BN_MP_PRIME_IS_PRIME_C # define BN_MP_PRIME_RABIN_MILLER_TRIALS_C -# define BN_REVERSE_C +# define BN_MP_PRIME_RAND_C +# define BN_MP_RADIX_SMAP_C +# define BN_MP_SET_INT_C +# define BN_MP_SHRINK_C +# define BN_MP_TO_UNSIGNED_BIN_C +# define BN_MP_UNSIGNED_BIN_SIZE_C # define BN_PRIME_TAB_C +# define BN_S_MP_REVERSE_C /* other modifiers */ # define BN_MP_DIV_SMALL /* Slower division, not critical */ + /* here we are on the last pass so we turn things off. The functions classes are still there * but we remove them specifically from the build. This also invokes tweaks in functions * like removing support for even moduli, etc... */ # ifdef LTM_LAST -# undef BN_MP_TOOM_MUL_C -# undef BN_MP_TOOM_SQR_C -# undef BN_MP_KARATSUBA_MUL_C -# undef BN_MP_KARATSUBA_SQR_C -# undef BN_MP_REDUCE_C -# undef BN_MP_REDUCE_SETUP_C # undef BN_MP_DR_IS_MODULUS_C # undef BN_MP_DR_SETUP_C # undef BN_MP_DR_REDUCE_C -# undef BN_MP_REDUCE_IS_2K_C +# undef BN_MP_DIV_3_C # undef BN_MP_REDUCE_2K_SETUP_C # undef BN_MP_REDUCE_2K_C +# undef BN_MP_REDUCE_IS_2K_C +# undef BN_MP_REDUCE_SETUP_C +# undef BN_S_MP_BALANCE_MUL_C # undef BN_S_MP_EXPTMOD_C -# undef BN_MP_DIV_3_C +# undef BN_S_MP_INVMOD_FAST_C +# undef BN_S_MP_KARATSUBA_MUL_C +# undef BN_S_MP_KARATSUBA_SQR_C # undef BN_S_MP_MUL_HIGH_DIGS_C -# undef BN_FAST_S_MP_MUL_HIGH_DIGS_C -# undef BN_FAST_MP_INVMOD_C +# undef BN_S_MP_MUL_HIGH_DIGS_FAST_C +# undef BN_S_MP_TOOM_MUL_C +# undef BN_S_MP_TOOM_SQR_C + +# ifndef SC_RSA_1_WITH_TESTS +# undef BN_MP_REDUCE_C +# endif /* To safely undefine these you have to make sure your RSA key won't exceed the Comba threshold * which is roughly 255 digits [7140 bits for 32-bit machines, 15300 bits for 64-bit machines] * which means roughly speaking you can handle upto 2536-bit RSA keys with these defined without * trouble. */ +# undef BN_MP_MONTGOMERY_REDUCE_C # undef BN_S_MP_MUL_DIGS_C # undef BN_S_MP_SQR_C -# undef BN_MP_MONTGOMERY_REDUCE_C # endif #endif - -/* ref: HEAD -> master, tag: v1.1.0 */ -/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ -/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/libtommath/updatemakes.sh b/libtommath/updatemakes.sh deleted file mode 100755 index bfec4f0..0000000 --- a/libtommath/updatemakes.sh +++ /dev/null @@ -1,16 +0,0 @@ -#!/bin/bash - -./helper.pl --update-makefiles || exit 1 - -makefiles=(makefile makefile.shared makefile_include.mk makefile.msvc makefile.unix makefile.mingw) -vcproj=(libtommath_VS2008.vcproj) - -if [ $# -eq 1 ] && [ "$1" == "-c" ]; then - git add ${makefiles[@]} ${vcproj[@]} && git commit -m 'Update makefiles' -fi - -exit 0 - -# ref: HEAD -> master, tag: v1.1.0 -# git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 -# commit time: 2019-01-28 20:32:32 +0100 diff --git a/rsa.c b/rsa.c index 39e2d46..6152e1c 100644 --- a/rsa.c +++ b/rsa.c @@ -211,12 +211,12 @@ int buf_rsa_verify(buffer * buf, const dropbear_rsa_key *key, m_mp_init_multi(&rsa_mdash, &rsa_s, &rsa_em, NULL); slen = buf_getint(buf); - if (slen != (unsigned int)mp_unsigned_bin_size(key->n)) { + if (slen != (unsigned int)mp_ubin_size(key->n)) { TRACE(("bad size")) goto out; } - if (mp_read_unsigned_bin(&rsa_s, buf_getptr(buf, buf->len - buf->pos), + if (mp_from_ubin(&rsa_s, buf_getptr(buf, buf->len - buf->pos), buf->len - buf->pos) != MP_OKAY) { TRACE(("failed reading rsa_s")) goto out; @@ -257,6 +257,7 @@ void buf_put_rsa_sign(buffer* buf, const dropbear_rsa_key *key, const char *name = NULL; unsigned int nsize, ssize, namelen = 0; unsigned int i; + size_t written; DEF_MP_INT(rsa_s); DEF_MP_INT(rsa_tmp1); DEF_MP_INT(rsa_tmp2); @@ -322,21 +323,21 @@ void buf_put_rsa_sign(buffer* buf, const dropbear_rsa_key *key, name = signature_name_from_type(sigtype, &namelen); buf_putstring(buf, name, namelen); - nsize = mp_unsigned_bin_size(key->n); + nsize = mp_ubin_size(key->n); /* string rsa_signature_blob length */ buf_putint(buf, nsize); /* pad out s to same length as n */ - ssize = mp_unsigned_bin_size(&rsa_s); + ssize = mp_ubin_size(&rsa_s); dropbear_assert(ssize <= nsize); for (i = 0; i < nsize-ssize; i++) { buf_putbyte(buf, 0x00); } - if (mp_to_unsigned_bin(&rsa_s, buf_getwriteptr(buf, ssize)) != MP_OKAY) { + if (mp_to_ubin(&rsa_s, buf_getwriteptr(buf, ssize), ssize, &written) != MP_OKAY) { dropbear_exit("RSA error"); } - buf_incrwritepos(buf, ssize); + buf_incrwritepos(buf, written); mp_clear(&rsa_s); #if defined(DEBUG_RSA) && DEBUG_TRACE @@ -397,7 +398,8 @@ static void rsa_pad_em(const dropbear_rsa_key * key, assert(0); } - nsize = mp_unsigned_bin_size(key->n); + + nsize = mp_ubin_size(key->n); rsa_EM = buf_new(nsize); /* type byte */ -- cgit v1.2.3 From 615885be01188e433cf931e2f7f85394fdc31c5d Mon Sep 17 00:00:00 2001 From: Matt Johnston Date: Wed, 10 Jun 2020 23:01:33 +0800 Subject: Fix whitespace changes vs upstream libtomcrypt --- libtomcrypt/src/ciphers/aes/aes.c | 116 +- libtomcrypt/src/ciphers/des.c | 2126 +++++++++++------------ libtomcrypt/src/ciphers/twofish/twofish.c | 80 +- libtomcrypt/src/hashes/helper/hash_file.c | 4 +- libtomcrypt/src/hashes/helper/hash_filehandle.c | 10 +- libtomcrypt/src/headers/tomcrypt_argchk.h | 2 +- libtomcrypt/src/headers/tomcrypt_custom.h | 4 +- libtomcrypt/src/mac/hmac/hmac_init.c | 12 +- libtomcrypt/src/pk/ecc/ecc_sign_hash.c | 46 +- libtomcrypt/src/pk/ecc/ecc_verify_hash.c | 16 +- libtomcrypt/src/pk/ecc/ltc_ecc_mulmod_timing.c | 10 +- 11 files changed, 1213 insertions(+), 1213 deletions(-) (limited to 'libtomcrypt/src') diff --git a/libtomcrypt/src/ciphers/aes/aes.c b/libtomcrypt/src/ciphers/aes/aes.c index 47e8eeb..dec9cb7 100644 --- a/libtomcrypt/src/ciphers/aes/aes.c +++ b/libtomcrypt/src/ciphers/aes/aes.c @@ -10,8 +10,8 @@ /* AES implementation by Tom St Denis * * Derived from the Public Domain source code by - ---- + +--- * rijndael-alg-fst.c * * @version 3.0 (December 2000) @@ -26,13 +26,13 @@ /** @file aes.c Implementation of AES -*/ +*/ #include "tomcrypt.h" #ifdef LTC_RIJNDAEL -#ifndef ENCRYPT_ONLY +#ifndef ENCRYPT_ONLY #define SETUP rijndael_setup #define ECB_ENC rijndael_ecb_encrypt @@ -125,20 +125,20 @@ int SETUP(const unsigned char *key, int keylen, int num_rounds, symmetric_key *s ulong32 temp, *rk; #ifndef ENCRYPT_ONLY ulong32 *rrk; -#endif +#endif LTC_ARGCHK(key != NULL); LTC_ARGCHK(skey != NULL); - + if (keylen != 16 && keylen != 24 && keylen != 32) { return CRYPT_INVALID_KEYSIZE; } - + if (num_rounds != 0 && num_rounds != (10 + ((keylen/8)-2)*2)) { return CRYPT_INVALID_ROUNDS; } - + skey->rijndael.Nr = 10 + ((keylen/8)-2)*2; - + /* setup the forward key */ i = 0; rk = skey->rijndael.eK; @@ -163,7 +163,7 @@ int SETUP(const unsigned char *key, int keylen, int num_rounds, symmetric_key *s LOAD32H(rk[5], key + 20); for (;;) { #ifdef _MSC_VER - temp = skey->rijndael.eK[rk - skey->rijndael.eK + 5]; + temp = skey->rijndael.eK[rk - skey->rijndael.eK + 5]; #else temp = rk[5]; #endif @@ -185,7 +185,7 @@ int SETUP(const unsigned char *key, int keylen, int num_rounds, symmetric_key *s LOAD32H(rk[7], key + 28); for (;;) { #ifdef _MSC_VER - temp = skey->rijndael.eK[rk - skey->rijndael.eK + 7]; + temp = skey->rijndael.eK[rk - skey->rijndael.eK + 7]; #else temp = rk[7]; #endif @@ -209,11 +209,11 @@ int SETUP(const unsigned char *key, int keylen, int num_rounds, symmetric_key *s return CRYPT_ERROR; } -#ifndef ENCRYPT_ONLY +#ifndef ENCRYPT_ONLY /* setup the inverse key now */ rk = skey->rijndael.dK; rrk = skey->rijndael.eK + (28 + keylen) - 4; - + /* apply the inverse MixColumn transform to all round keys but the first and the last: */ /* copy first */ *rk++ = *rrk++; @@ -221,11 +221,11 @@ int SETUP(const unsigned char *key, int keylen, int num_rounds, symmetric_key *s *rk++ = *rrk++; *rk = *rrk; rk -= 3; rrk -= 3; - + for (i = 1; i < skey->rijndael.Nr; i++) { rrk -= 4; rk += 4; - #ifdef LTC_SMALL_CODE + #ifdef LTC_SMALL_CODE temp = rrk[0]; rk[0] = setup_mix2(temp); temp = rrk[1]; @@ -259,8 +259,8 @@ int SETUP(const unsigned char *key, int keylen, int num_rounds, symmetric_key *s Tks1[byte(temp, 2)] ^ Tks2[byte(temp, 1)] ^ Tks3[byte(temp, 0)]; - #endif - + #endif + } /* copy last */ @@ -272,7 +272,7 @@ int SETUP(const unsigned char *key, int keylen, int num_rounds, symmetric_key *s *rk = *rrk; #endif /* ENCRYPT_ONLY */ - return CRYPT_OK; + return CRYPT_OK; } /** @@ -283,21 +283,21 @@ int SETUP(const unsigned char *key, int keylen, int num_rounds, symmetric_key *s @return CRYPT_OK if successful */ #ifdef LTC_CLEAN_STACK -static int _rijndael_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) +static int _rijndael_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) #else int ECB_ENC(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) #endif { ulong32 s0, s1, s2, s3, t0, t1, t2, t3, *rk; int Nr, r; - + LTC_ARGCHK(pt != NULL); LTC_ARGCHK(ct != NULL); LTC_ARGCHK(skey != NULL); - + Nr = skey->rijndael.Nr; rk = skey->rijndael.eK; - + /* * map byte array block to cipher state * and add initial round key: @@ -335,7 +335,7 @@ int ECB_ENC(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) Te2(byte(s1, 1)) ^ Te3(byte(s2, 0)) ^ rk[3]; - if (r == Nr-2) { + if (r == Nr-2) { break; } s0 = t0; s1 = t1; s2 = t2; s3 = t3; @@ -436,7 +436,7 @@ int ECB_ENC(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) (Te4_3[byte(t3, 3)]) ^ (Te4_2[byte(t0, 2)]) ^ (Te4_1[byte(t1, 1)]) ^ - (Te4_0[byte(t2, 0)]) ^ + (Te4_0[byte(t2, 0)]) ^ rk[3]; STORE32H(s3, ct+12); @@ -444,7 +444,7 @@ int ECB_ENC(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) } #ifdef LTC_CLEAN_STACK -int ECB_ENC(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) +int ECB_ENC(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) { int err = _rijndael_ecb_encrypt(pt, ct, skey); burn_stack(sizeof(unsigned long)*8 + sizeof(unsigned long*) + sizeof(int)*2); @@ -452,17 +452,17 @@ int ECB_ENC(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) } #endif -#ifndef ENCRYPT_ONLY +#ifndef ENCRYPT_ONLY /** Decrypts a block of text with AES @param ct The input ciphertext (16 bytes) @param pt The output plaintext (16 bytes) - @param skey The key as scheduled + @param skey The key as scheduled @return CRYPT_OK if successful */ #ifdef LTC_CLEAN_STACK -static int _rijndael_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) +static int _rijndael_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) #else int ECB_DEC(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) #endif @@ -473,7 +473,7 @@ int ECB_DEC(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) LTC_ARGCHK(pt != NULL); LTC_ARGCHK(ct != NULL); LTC_ARGCHK(skey != NULL); - + Nr = skey->rijndael.Nr; rk = skey->rijndael.dK; @@ -514,13 +514,13 @@ int ECB_DEC(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) Td3(byte(s0, 0)) ^ rk[3]; if (r == Nr-2) { - break; + break; } s0 = t0; s1 = t1; s2 = t2; s3 = t3; } rk += 4; -#else +#else /* * Nr - 1 full rounds: @@ -624,7 +624,7 @@ int ECB_DEC(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) #ifdef LTC_CLEAN_STACK -int ECB_DEC(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) +int ECB_DEC(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) { int err = _rijndael_ecb_decrypt(ct, pt, skey); burn_stack(sizeof(unsigned long)*8 + sizeof(unsigned long*) + sizeof(int)*2); @@ -640,51 +640,51 @@ int ECB_TEST(void) { #ifndef LTC_TEST return CRYPT_NOP; - #else + #else int err; static const struct { int keylen; unsigned char key[32], pt[16], ct[16]; } tests[] = { { 16, - { 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, - 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f }, + { 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, + 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f }, { 0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff }, - { 0x69, 0xc4, 0xe0, 0xd8, 0x6a, 0x7b, 0x04, 0x30, + { 0x69, 0xc4, 0xe0, 0xd8, 0x6a, 0x7b, 0x04, 0x30, 0xd8, 0xcd, 0xb7, 0x80, 0x70, 0xb4, 0xc5, 0x5a } - }, { + }, { 24, - { 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, + { 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17 }, { 0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff }, - { 0xdd, 0xa9, 0x7c, 0xa4, 0x86, 0x4c, 0xdf, 0xe0, + { 0xdd, 0xa9, 0x7c, 0xa4, 0x86, 0x4c, 0xdf, 0xe0, 0x6e, 0xaf, 0x70, 0xa0, 0xec, 0x0d, 0x71, 0x91 } }, { 32, - { 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, + { 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, - 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, + 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f }, { 0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff }, - { 0x8e, 0xa2, 0xb7, 0xca, 0x51, 0x67, 0x45, 0xbf, + { 0x8e, 0xa2, 0xb7, 0xca, 0x51, 0x67, 0x45, 0xbf, 0xea, 0xfc, 0x49, 0x90, 0x4b, 0x49, 0x60, 0x89 } } }; - - symmetric_key key; - unsigned char tmp[2][16]; - int i, y; - - for (i = 0; i < (int)(sizeof(tests)/sizeof(tests[0])); i++) { + + symmetric_key key; + unsigned char tmp[2][16]; + int i, y; + + for (i = 0; i < (int)(sizeof(tests)/sizeof(tests[0])); i++) { zeromem(&key, sizeof(key)); - if ((err = rijndael_setup(tests[i].key, tests[i].keylen, 0, &key)) != CRYPT_OK) { + if ((err = rijndael_setup(tests[i].key, tests[i].keylen, 0, &key)) != CRYPT_OK) { return err; } - + rijndael_ecb_encrypt(tests[i].pt, tmp[0], &key); rijndael_ecb_decrypt(tmp[0], tmp[1], &key); if (compare_testvector(tmp[0], 16, tests[i].ct, 16, "AES Encrypt", i) || @@ -692,20 +692,20 @@ int ECB_TEST(void) return CRYPT_FAIL_TESTVECTOR; } - /* now see if we can encrypt all zero bytes 1000 times, decrypt and come back where we started */ - for (y = 0; y < 16; y++) tmp[0][y] = 0; - for (y = 0; y < 1000; y++) rijndael_ecb_encrypt(tmp[0], tmp[0], &key); - for (y = 0; y < 1000; y++) rijndael_ecb_decrypt(tmp[0], tmp[0], &key); - for (y = 0; y < 16; y++) if (tmp[0][y] != 0) return CRYPT_FAIL_TESTVECTOR; - } - return CRYPT_OK; + /* now see if we can encrypt all zero bytes 1000 times, decrypt and come back where we started */ + for (y = 0; y < 16; y++) tmp[0][y] = 0; + for (y = 0; y < 1000; y++) rijndael_ecb_encrypt(tmp[0], tmp[0], &key); + for (y = 0; y < 1000; y++) rijndael_ecb_decrypt(tmp[0], tmp[0], &key); + for (y = 0; y < 16; y++) if (tmp[0][y] != 0) return CRYPT_FAIL_TESTVECTOR; + } + return CRYPT_OK; #endif } #endif /* ENCRYPT_ONLY */ -/** Terminate the context +/** Terminate the context @param skey The scheduled key */ void ECB_DONE(symmetric_key *skey) diff --git a/libtomcrypt/src/ciphers/des.c b/libtomcrypt/src/ciphers/des.c index d45b925..fe429cc 100644 --- a/libtomcrypt/src/ciphers/des.c +++ b/libtomcrypt/src/ciphers/des.c @@ -8,14 +8,14 @@ */ #include "tomcrypt.h" -/** +/** @file des.c DES code submitted by Dobes Vandermeer */ #ifdef LTC_DES -#define EN0 0 +#define EN0 0 #define DE1 1 #if 0 @@ -50,7 +50,7 @@ const struct ltc_cipher_descriptor des3_desc = static const ulong32 bytebit[8] = { - 0200, 0100, 040, 020, 010, 04, 02, 01 + 0200, 0100, 040, 020, 010, 04, 02, 01 }; static const ulong32 bigbyte[24] = @@ -60,22 +60,22 @@ static const ulong32 bigbyte[24] = 0x8000UL, 0x4000UL, 0x2000UL, 0x1000UL, 0x800UL, 0x400UL, 0x200UL, 0x100UL, 0x80UL, 0x40UL, 0x20UL, 0x10UL, - 0x8UL, 0x4UL, 0x2UL, 0x1L + 0x8UL, 0x4UL, 0x2UL, 0x1L }; /* Use the key schedule specific in the standard (ANSI X3.92-1981) */ static const unsigned char pc1[56] = { - 56, 48, 40, 32, 24, 16, 8, 0, 57, 49, 41, 33, 25, 17, - 9, 1, 58, 50, 42, 34, 26, 18, 10, 2, 59, 51, 43, 35, + 56, 48, 40, 32, 24, 16, 8, 0, 57, 49, 41, 33, 25, 17, + 9, 1, 58, 50, 42, 34, 26, 18, 10, 2, 59, 51, 43, 35, 62, 54, 46, 38, 30, 22, 14, 6, 61, 53, 45, 37, 29, 21, - 13, 5, 60, 52, 44, 36, 28, 20, 12, 4, 27, 19, 11, 3 + 13, 5, 60, 52, 44, 36, 28, 20, 12, 4, 27, 19, 11, 3 }; static const unsigned char totrot[16] = { 1, 2, 4, 6, - 8, 10, 12, 14, - 15, 17, 19, 21, + 8, 10, 12, 14, + 15, 17, 19, 21, 23, 25, 27, 28 }; @@ -251,1050 +251,1050 @@ static const ulong32 SP8[64] = static const ulong64 des_ip[8][256] = { -{ CONST64(0x0000000000000000), CONST64(0x0000001000000000), CONST64(0x0000000000000010), CONST64(0x0000001000000010), - CONST64(0x0000100000000000), CONST64(0x0000101000000000), CONST64(0x0000100000000010), CONST64(0x0000101000000010), - CONST64(0x0000000000001000), CONST64(0x0000001000001000), CONST64(0x0000000000001010), CONST64(0x0000001000001010), - CONST64(0x0000100000001000), CONST64(0x0000101000001000), CONST64(0x0000100000001010), CONST64(0x0000101000001010), - CONST64(0x0010000000000000), CONST64(0x0010001000000000), CONST64(0x0010000000000010), CONST64(0x0010001000000010), - CONST64(0x0010100000000000), CONST64(0x0010101000000000), CONST64(0x0010100000000010), CONST64(0x0010101000000010), - CONST64(0x0010000000001000), CONST64(0x0010001000001000), CONST64(0x0010000000001010), CONST64(0x0010001000001010), - CONST64(0x0010100000001000), CONST64(0x0010101000001000), CONST64(0x0010100000001010), CONST64(0x0010101000001010), - CONST64(0x0000000000100000), CONST64(0x0000001000100000), CONST64(0x0000000000100010), CONST64(0x0000001000100010), - CONST64(0x0000100000100000), CONST64(0x0000101000100000), CONST64(0x0000100000100010), CONST64(0x0000101000100010), - CONST64(0x0000000000101000), CONST64(0x0000001000101000), CONST64(0x0000000000101010), CONST64(0x0000001000101010), - CONST64(0x0000100000101000), CONST64(0x0000101000101000), CONST64(0x0000100000101010), CONST64(0x0000101000101010), - CONST64(0x0010000000100000), CONST64(0x0010001000100000), CONST64(0x0010000000100010), CONST64(0x0010001000100010), - CONST64(0x0010100000100000), CONST64(0x0010101000100000), CONST64(0x0010100000100010), CONST64(0x0010101000100010), - CONST64(0x0010000000101000), CONST64(0x0010001000101000), CONST64(0x0010000000101010), CONST64(0x0010001000101010), - CONST64(0x0010100000101000), CONST64(0x0010101000101000), CONST64(0x0010100000101010), CONST64(0x0010101000101010), - CONST64(0x1000000000000000), CONST64(0x1000001000000000), CONST64(0x1000000000000010), CONST64(0x1000001000000010), - CONST64(0x1000100000000000), CONST64(0x1000101000000000), CONST64(0x1000100000000010), CONST64(0x1000101000000010), - CONST64(0x1000000000001000), CONST64(0x1000001000001000), CONST64(0x1000000000001010), CONST64(0x1000001000001010), - CONST64(0x1000100000001000), CONST64(0x1000101000001000), CONST64(0x1000100000001010), CONST64(0x1000101000001010), - CONST64(0x1010000000000000), CONST64(0x1010001000000000), CONST64(0x1010000000000010), CONST64(0x1010001000000010), - CONST64(0x1010100000000000), CONST64(0x1010101000000000), CONST64(0x1010100000000010), CONST64(0x1010101000000010), - CONST64(0x1010000000001000), CONST64(0x1010001000001000), CONST64(0x1010000000001010), CONST64(0x1010001000001010), - CONST64(0x1010100000001000), CONST64(0x1010101000001000), CONST64(0x1010100000001010), CONST64(0x1010101000001010), - CONST64(0x1000000000100000), CONST64(0x1000001000100000), CONST64(0x1000000000100010), CONST64(0x1000001000100010), - CONST64(0x1000100000100000), CONST64(0x1000101000100000), CONST64(0x1000100000100010), CONST64(0x1000101000100010), - CONST64(0x1000000000101000), CONST64(0x1000001000101000), CONST64(0x1000000000101010), CONST64(0x1000001000101010), - CONST64(0x1000100000101000), CONST64(0x1000101000101000), CONST64(0x1000100000101010), CONST64(0x1000101000101010), - CONST64(0x1010000000100000), CONST64(0x1010001000100000), CONST64(0x1010000000100010), CONST64(0x1010001000100010), - CONST64(0x1010100000100000), CONST64(0x1010101000100000), CONST64(0x1010100000100010), CONST64(0x1010101000100010), - CONST64(0x1010000000101000), CONST64(0x1010001000101000), CONST64(0x1010000000101010), CONST64(0x1010001000101010), - CONST64(0x1010100000101000), CONST64(0x1010101000101000), CONST64(0x1010100000101010), CONST64(0x1010101000101010), - CONST64(0x0000000010000000), CONST64(0x0000001010000000), CONST64(0x0000000010000010), CONST64(0x0000001010000010), - CONST64(0x0000100010000000), CONST64(0x0000101010000000), CONST64(0x0000100010000010), CONST64(0x0000101010000010), - CONST64(0x0000000010001000), CONST64(0x0000001010001000), CONST64(0x0000000010001010), CONST64(0x0000001010001010), - CONST64(0x0000100010001000), CONST64(0x0000101010001000), CONST64(0x0000100010001010), CONST64(0x0000101010001010), - CONST64(0x0010000010000000), CONST64(0x0010001010000000), CONST64(0x0010000010000010), CONST64(0x0010001010000010), - CONST64(0x0010100010000000), CONST64(0x0010101010000000), CONST64(0x0010100010000010), CONST64(0x0010101010000010), - CONST64(0x0010000010001000), CONST64(0x0010001010001000), CONST64(0x0010000010001010), CONST64(0x0010001010001010), - CONST64(0x0010100010001000), CONST64(0x0010101010001000), CONST64(0x0010100010001010), CONST64(0x0010101010001010), - CONST64(0x0000000010100000), CONST64(0x0000001010100000), CONST64(0x0000000010100010), CONST64(0x0000001010100010), - CONST64(0x0000100010100000), CONST64(0x0000101010100000), CONST64(0x0000100010100010), CONST64(0x0000101010100010), - CONST64(0x0000000010101000), CONST64(0x0000001010101000), CONST64(0x0000000010101010), CONST64(0x0000001010101010), - CONST64(0x0000100010101000), CONST64(0x0000101010101000), CONST64(0x0000100010101010), CONST64(0x0000101010101010), - CONST64(0x0010000010100000), CONST64(0x0010001010100000), CONST64(0x0010000010100010), CONST64(0x0010001010100010), - CONST64(0x0010100010100000), CONST64(0x0010101010100000), CONST64(0x0010100010100010), CONST64(0x0010101010100010), - CONST64(0x0010000010101000), CONST64(0x0010001010101000), CONST64(0x0010000010101010), CONST64(0x0010001010101010), - CONST64(0x0010100010101000), CONST64(0x0010101010101000), CONST64(0x0010100010101010), CONST64(0x0010101010101010), - CONST64(0x1000000010000000), CONST64(0x1000001010000000), CONST64(0x1000000010000010), CONST64(0x1000001010000010), - CONST64(0x1000100010000000), CONST64(0x1000101010000000), CONST64(0x1000100010000010), CONST64(0x1000101010000010), - CONST64(0x1000000010001000), CONST64(0x1000001010001000), CONST64(0x1000000010001010), CONST64(0x1000001010001010), - CONST64(0x1000100010001000), CONST64(0x1000101010001000), CONST64(0x1000100010001010), CONST64(0x1000101010001010), - CONST64(0x1010000010000000), CONST64(0x1010001010000000), CONST64(0x1010000010000010), CONST64(0x1010001010000010), - CONST64(0x1010100010000000), CONST64(0x1010101010000000), CONST64(0x1010100010000010), CONST64(0x1010101010000010), - CONST64(0x1010000010001000), CONST64(0x1010001010001000), CONST64(0x1010000010001010), CONST64(0x1010001010001010), - CONST64(0x1010100010001000), CONST64(0x1010101010001000), CONST64(0x1010100010001010), CONST64(0x1010101010001010), - CONST64(0x1000000010100000), CONST64(0x1000001010100000), CONST64(0x1000000010100010), CONST64(0x1000001010100010), - CONST64(0x1000100010100000), CONST64(0x1000101010100000), CONST64(0x1000100010100010), CONST64(0x1000101010100010), - CONST64(0x1000000010101000), CONST64(0x1000001010101000), CONST64(0x1000000010101010), CONST64(0x1000001010101010), - CONST64(0x1000100010101000), CONST64(0x1000101010101000), CONST64(0x1000100010101010), CONST64(0x1000101010101010), - CONST64(0x1010000010100000), CONST64(0x1010001010100000), CONST64(0x1010000010100010), CONST64(0x1010001010100010), - CONST64(0x1010100010100000), CONST64(0x1010101010100000), CONST64(0x1010100010100010), CONST64(0x1010101010100010), - CONST64(0x1010000010101000), CONST64(0x1010001010101000), CONST64(0x1010000010101010), CONST64(0x1010001010101010), +{ CONST64(0x0000000000000000), CONST64(0x0000001000000000), CONST64(0x0000000000000010), CONST64(0x0000001000000010), + CONST64(0x0000100000000000), CONST64(0x0000101000000000), CONST64(0x0000100000000010), CONST64(0x0000101000000010), + CONST64(0x0000000000001000), CONST64(0x0000001000001000), CONST64(0x0000000000001010), CONST64(0x0000001000001010), + CONST64(0x0000100000001000), CONST64(0x0000101000001000), CONST64(0x0000100000001010), CONST64(0x0000101000001010), + CONST64(0x0010000000000000), CONST64(0x0010001000000000), CONST64(0x0010000000000010), CONST64(0x0010001000000010), + CONST64(0x0010100000000000), CONST64(0x0010101000000000), CONST64(0x0010100000000010), CONST64(0x0010101000000010), + CONST64(0x0010000000001000), CONST64(0x0010001000001000), CONST64(0x0010000000001010), CONST64(0x0010001000001010), + CONST64(0x0010100000001000), CONST64(0x0010101000001000), CONST64(0x0010100000001010), CONST64(0x0010101000001010), + CONST64(0x0000000000100000), CONST64(0x0000001000100000), CONST64(0x0000000000100010), CONST64(0x0000001000100010), + CONST64(0x0000100000100000), CONST64(0x0000101000100000), CONST64(0x0000100000100010), CONST64(0x0000101000100010), + CONST64(0x0000000000101000), CONST64(0x0000001000101000), CONST64(0x0000000000101010), CONST64(0x0000001000101010), + CONST64(0x0000100000101000), CONST64(0x0000101000101000), CONST64(0x0000100000101010), CONST64(0x0000101000101010), + CONST64(0x0010000000100000), CONST64(0x0010001000100000), CONST64(0x0010000000100010), CONST64(0x0010001000100010), + CONST64(0x0010100000100000), CONST64(0x0010101000100000), CONST64(0x0010100000100010), CONST64(0x0010101000100010), + CONST64(0x0010000000101000), CONST64(0x0010001000101000), CONST64(0x0010000000101010), CONST64(0x0010001000101010), + CONST64(0x0010100000101000), CONST64(0x0010101000101000), CONST64(0x0010100000101010), CONST64(0x0010101000101010), + CONST64(0x1000000000000000), CONST64(0x1000001000000000), CONST64(0x1000000000000010), CONST64(0x1000001000000010), + CONST64(0x1000100000000000), CONST64(0x1000101000000000), CONST64(0x1000100000000010), CONST64(0x1000101000000010), + CONST64(0x1000000000001000), CONST64(0x1000001000001000), CONST64(0x1000000000001010), CONST64(0x1000001000001010), + CONST64(0x1000100000001000), CONST64(0x1000101000001000), CONST64(0x1000100000001010), CONST64(0x1000101000001010), + CONST64(0x1010000000000000), CONST64(0x1010001000000000), CONST64(0x1010000000000010), CONST64(0x1010001000000010), + CONST64(0x1010100000000000), CONST64(0x1010101000000000), CONST64(0x1010100000000010), CONST64(0x1010101000000010), + CONST64(0x1010000000001000), CONST64(0x1010001000001000), CONST64(0x1010000000001010), CONST64(0x1010001000001010), + CONST64(0x1010100000001000), CONST64(0x1010101000001000), CONST64(0x1010100000001010), CONST64(0x1010101000001010), + CONST64(0x1000000000100000), CONST64(0x1000001000100000), CONST64(0x1000000000100010), CONST64(0x1000001000100010), + CONST64(0x1000100000100000), CONST64(0x1000101000100000), CONST64(0x1000100000100010), CONST64(0x1000101000100010), + CONST64(0x1000000000101000), CONST64(0x1000001000101000), CONST64(0x1000000000101010), CONST64(0x1000001000101010), + CONST64(0x1000100000101000), CONST64(0x1000101000101000), CONST64(0x1000100000101010), CONST64(0x1000101000101010), + CONST64(0x1010000000100000), CONST64(0x1010001000100000), CONST64(0x1010000000100010), CONST64(0x1010001000100010), + CONST64(0x1010100000100000), CONST64(0x1010101000100000), CONST64(0x1010100000100010), CONST64(0x1010101000100010), + CONST64(0x1010000000101000), CONST64(0x1010001000101000), CONST64(0x1010000000101010), CONST64(0x1010001000101010), + CONST64(0x1010100000101000), CONST64(0x1010101000101000), CONST64(0x1010100000101010), CONST64(0x1010101000101010), + CONST64(0x0000000010000000), CONST64(0x0000001010000000), CONST64(0x0000000010000010), CONST64(0x0000001010000010), + CONST64(0x0000100010000000), CONST64(0x0000101010000000), CONST64(0x0000100010000010), CONST64(0x0000101010000010), + CONST64(0x0000000010001000), CONST64(0x0000001010001000), CONST64(0x0000000010001010), CONST64(0x0000001010001010), + CONST64(0x0000100010001000), CONST64(0x0000101010001000), CONST64(0x0000100010001010), CONST64(0x0000101010001010), + CONST64(0x0010000010000000), CONST64(0x0010001010000000), CONST64(0x0010000010000010), CONST64(0x0010001010000010), + CONST64(0x0010100010000000), CONST64(0x0010101010000000), CONST64(0x0010100010000010), CONST64(0x0010101010000010), + CONST64(0x0010000010001000), CONST64(0x0010001010001000), CONST64(0x0010000010001010), CONST64(0x0010001010001010), + CONST64(0x0010100010001000), CONST64(0x0010101010001000), CONST64(0x0010100010001010), CONST64(0x0010101010001010), + CONST64(0x0000000010100000), CONST64(0x0000001010100000), CONST64(0x0000000010100010), CONST64(0x0000001010100010), + CONST64(0x0000100010100000), CONST64(0x0000101010100000), CONST64(0x0000100010100010), CONST64(0x0000101010100010), + CONST64(0x0000000010101000), CONST64(0x0000001010101000), CONST64(0x0000000010101010), CONST64(0x0000001010101010), + CONST64(0x0000100010101000), CONST64(0x0000101010101000), CONST64(0x0000100010101010), CONST64(0x0000101010101010), + CONST64(0x0010000010100000), CONST64(0x0010001010100000), CONST64(0x0010000010100010), CONST64(0x0010001010100010), + CONST64(0x0010100010100000), CONST64(0x0010101010100000), CONST64(0x0010100010100010), CONST64(0x0010101010100010), + CONST64(0x0010000010101000), CONST64(0x0010001010101000), CONST64(0x0010000010101010), CONST64(0x0010001010101010), + CONST64(0x0010100010101000), CONST64(0x0010101010101000), CONST64(0x0010100010101010), CONST64(0x0010101010101010), + CONST64(0x1000000010000000), CONST64(0x1000001010000000), CONST64(0x1000000010000010), CONST64(0x1000001010000010), + CONST64(0x1000100010000000), CONST64(0x1000101010000000), CONST64(0x1000100010000010), CONST64(0x1000101010000010), + CONST64(0x1000000010001000), CONST64(0x1000001010001000), CONST64(0x1000000010001010), CONST64(0x1000001010001010), + CONST64(0x1000100010001000), CONST64(0x1000101010001000), CONST64(0x1000100010001010), CONST64(0x1000101010001010), + CONST64(0x1010000010000000), CONST64(0x1010001010000000), CONST64(0x1010000010000010), CONST64(0x1010001010000010), + CONST64(0x1010100010000000), CONST64(0x1010101010000000), CONST64(0x1010100010000010), CONST64(0x1010101010000010), + CONST64(0x1010000010001000), CONST64(0x1010001010001000), CONST64(0x1010000010001010), CONST64(0x1010001010001010), + CONST64(0x1010100010001000), CONST64(0x1010101010001000), CONST64(0x1010100010001010), CONST64(0x1010101010001010), + CONST64(0x1000000010100000), CONST64(0x1000001010100000), CONST64(0x1000000010100010), CONST64(0x1000001010100010), + CONST64(0x1000100010100000), CONST64(0x1000101010100000), CONST64(0x1000100010100010), CONST64(0x1000101010100010), + CONST64(0x1000000010101000), CONST64(0x1000001010101000), CONST64(0x1000000010101010), CONST64(0x1000001010101010), + CONST64(0x1000100010101000), CONST64(0x1000101010101000), CONST64(0x1000100010101010), CONST64(0x1000101010101010), + CONST64(0x1010000010100000), CONST64(0x1010001010100000), CONST64(0x1010000010100010), CONST64(0x1010001010100010), + CONST64(0x1010100010100000), CONST64(0x1010101010100000), CONST64(0x1010100010100010), CONST64(0x1010101010100010), + CONST64(0x1010000010101000), CONST64(0x1010001010101000), CONST64(0x1010000010101010), CONST64(0x1010001010101010), CONST64(0x1010100010101000), CONST64(0x1010101010101000), CONST64(0x1010100010101010), CONST64(0x1010101010101010) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000000800000000), CONST64(0x0000000000000008), CONST64(0x0000000800000008), - CONST64(0x0000080000000000), CONST64(0x0000080800000000), CONST64(0x0000080000000008), CONST64(0x0000080800000008), - CONST64(0x0000000000000800), CONST64(0x0000000800000800), CONST64(0x0000000000000808), CONST64(0x0000000800000808), - CONST64(0x0000080000000800), CONST64(0x0000080800000800), CONST64(0x0000080000000808), CONST64(0x0000080800000808), - CONST64(0x0008000000000000), CONST64(0x0008000800000000), CONST64(0x0008000000000008), CONST64(0x0008000800000008), - CONST64(0x0008080000000000), CONST64(0x0008080800000000), CONST64(0x0008080000000008), CONST64(0x0008080800000008), - CONST64(0x0008000000000800), CONST64(0x0008000800000800), CONST64(0x0008000000000808), CONST64(0x0008000800000808), - CONST64(0x0008080000000800), CONST64(0x0008080800000800), CONST64(0x0008080000000808), CONST64(0x0008080800000808), - CONST64(0x0000000000080000), CONST64(0x0000000800080000), CONST64(0x0000000000080008), CONST64(0x0000000800080008), - CONST64(0x0000080000080000), CONST64(0x0000080800080000), CONST64(0x0000080000080008), CONST64(0x0000080800080008), - CONST64(0x0000000000080800), CONST64(0x0000000800080800), CONST64(0x0000000000080808), CONST64(0x0000000800080808), - CONST64(0x0000080000080800), CONST64(0x0000080800080800), CONST64(0x0000080000080808), CONST64(0x0000080800080808), - CONST64(0x0008000000080000), CONST64(0x0008000800080000), CONST64(0x0008000000080008), CONST64(0x0008000800080008), - CONST64(0x0008080000080000), CONST64(0x0008080800080000), CONST64(0x0008080000080008), CONST64(0x0008080800080008), - CONST64(0x0008000000080800), CONST64(0x0008000800080800), CONST64(0x0008000000080808), CONST64(0x0008000800080808), - CONST64(0x0008080000080800), CONST64(0x0008080800080800), CONST64(0x0008080000080808), CONST64(0x0008080800080808), - CONST64(0x0800000000000000), CONST64(0x0800000800000000), CONST64(0x0800000000000008), CONST64(0x0800000800000008), - CONST64(0x0800080000000000), CONST64(0x0800080800000000), CONST64(0x0800080000000008), CONST64(0x0800080800000008), - CONST64(0x0800000000000800), CONST64(0x0800000800000800), CONST64(0x0800000000000808), CONST64(0x0800000800000808), - CONST64(0x0800080000000800), CONST64(0x0800080800000800), CONST64(0x0800080000000808), CONST64(0x0800080800000808), - CONST64(0x0808000000000000), CONST64(0x0808000800000000), CONST64(0x0808000000000008), CONST64(0x0808000800000008), - CONST64(0x0808080000000000), CONST64(0x0808080800000000), CONST64(0x0808080000000008), CONST64(0x0808080800000008), - CONST64(0x0808000000000800), CONST64(0x0808000800000800), CONST64(0x0808000000000808), CONST64(0x0808000800000808), - CONST64(0x0808080000000800), CONST64(0x0808080800000800), CONST64(0x0808080000000808), CONST64(0x0808080800000808), - CONST64(0x0800000000080000), CONST64(0x0800000800080000), CONST64(0x0800000000080008), CONST64(0x0800000800080008), - CONST64(0x0800080000080000), CONST64(0x0800080800080000), CONST64(0x0800080000080008), CONST64(0x0800080800080008), - CONST64(0x0800000000080800), CONST64(0x0800000800080800), CONST64(0x0800000000080808), CONST64(0x0800000800080808), - CONST64(0x0800080000080800), CONST64(0x0800080800080800), CONST64(0x0800080000080808), CONST64(0x0800080800080808), - CONST64(0x0808000000080000), CONST64(0x0808000800080000), CONST64(0x0808000000080008), CONST64(0x0808000800080008), - CONST64(0x0808080000080000), CONST64(0x0808080800080000), CONST64(0x0808080000080008), CONST64(0x0808080800080008), - CONST64(0x0808000000080800), CONST64(0x0808000800080800), CONST64(0x0808000000080808), CONST64(0x0808000800080808), - CONST64(0x0808080000080800), CONST64(0x0808080800080800), CONST64(0x0808080000080808), CONST64(0x0808080800080808), - CONST64(0x0000000008000000), CONST64(0x0000000808000000), CONST64(0x0000000008000008), CONST64(0x0000000808000008), - CONST64(0x0000080008000000), CONST64(0x0000080808000000), CONST64(0x0000080008000008), CONST64(0x0000080808000008), - CONST64(0x0000000008000800), CONST64(0x0000000808000800), CONST64(0x0000000008000808), CONST64(0x0000000808000808), - CONST64(0x0000080008000800), CONST64(0x0000080808000800), CONST64(0x0000080008000808), CONST64(0x0000080808000808), - CONST64(0x0008000008000000), CONST64(0x0008000808000000), CONST64(0x0008000008000008), CONST64(0x0008000808000008), - CONST64(0x0008080008000000), CONST64(0x0008080808000000), CONST64(0x0008080008000008), CONST64(0x0008080808000008), - CONST64(0x0008000008000800), CONST64(0x0008000808000800), CONST64(0x0008000008000808), CONST64(0x0008000808000808), - CONST64(0x0008080008000800), CONST64(0x0008080808000800), CONST64(0x0008080008000808), CONST64(0x0008080808000808), - CONST64(0x0000000008080000), CONST64(0x0000000808080000), CONST64(0x0000000008080008), CONST64(0x0000000808080008), - CONST64(0x0000080008080000), CONST64(0x0000080808080000), CONST64(0x0000080008080008), CONST64(0x0000080808080008), - CONST64(0x0000000008080800), CONST64(0x0000000808080800), CONST64(0x0000000008080808), CONST64(0x0000000808080808), - CONST64(0x0000080008080800), CONST64(0x0000080808080800), CONST64(0x0000080008080808), CONST64(0x0000080808080808), - CONST64(0x0008000008080000), CONST64(0x0008000808080000), CONST64(0x0008000008080008), CONST64(0x0008000808080008), - CONST64(0x0008080008080000), CONST64(0x0008080808080000), CONST64(0x0008080008080008), CONST64(0x0008080808080008), - CONST64(0x0008000008080800), CONST64(0x0008000808080800), CONST64(0x0008000008080808), CONST64(0x0008000808080808), - CONST64(0x0008080008080800), CONST64(0x0008080808080800), CONST64(0x0008080008080808), CONST64(0x0008080808080808), - CONST64(0x0800000008000000), CONST64(0x0800000808000000), CONST64(0x0800000008000008), CONST64(0x0800000808000008), - CONST64(0x0800080008000000), CONST64(0x0800080808000000), CONST64(0x0800080008000008), CONST64(0x0800080808000008), - CONST64(0x0800000008000800), CONST64(0x0800000808000800), CONST64(0x0800000008000808), CONST64(0x0800000808000808), - CONST64(0x0800080008000800), CONST64(0x0800080808000800), CONST64(0x0800080008000808), CONST64(0x0800080808000808), - CONST64(0x0808000008000000), CONST64(0x0808000808000000), CONST64(0x0808000008000008), CONST64(0x0808000808000008), - CONST64(0x0808080008000000), CONST64(0x0808080808000000), CONST64(0x0808080008000008), CONST64(0x0808080808000008), - CONST64(0x0808000008000800), CONST64(0x0808000808000800), CONST64(0x0808000008000808), CONST64(0x0808000808000808), - CONST64(0x0808080008000800), CONST64(0x0808080808000800), CONST64(0x0808080008000808), CONST64(0x0808080808000808), - CONST64(0x0800000008080000), CONST64(0x0800000808080000), CONST64(0x0800000008080008), CONST64(0x0800000808080008), - CONST64(0x0800080008080000), CONST64(0x0800080808080000), CONST64(0x0800080008080008), CONST64(0x0800080808080008), - CONST64(0x0800000008080800), CONST64(0x0800000808080800), CONST64(0x0800000008080808), CONST64(0x0800000808080808), - CONST64(0x0800080008080800), CONST64(0x0800080808080800), CONST64(0x0800080008080808), CONST64(0x0800080808080808), - CONST64(0x0808000008080000), CONST64(0x0808000808080000), CONST64(0x0808000008080008), CONST64(0x0808000808080008), - CONST64(0x0808080008080000), CONST64(0x0808080808080000), CONST64(0x0808080008080008), CONST64(0x0808080808080008), - CONST64(0x0808000008080800), CONST64(0x0808000808080800), CONST64(0x0808000008080808), CONST64(0x0808000808080808), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000000800000000), CONST64(0x0000000000000008), CONST64(0x0000000800000008), + CONST64(0x0000080000000000), CONST64(0x0000080800000000), CONST64(0x0000080000000008), CONST64(0x0000080800000008), + CONST64(0x0000000000000800), CONST64(0x0000000800000800), CONST64(0x0000000000000808), CONST64(0x0000000800000808), + CONST64(0x0000080000000800), CONST64(0x0000080800000800), CONST64(0x0000080000000808), CONST64(0x0000080800000808), + CONST64(0x0008000000000000), CONST64(0x0008000800000000), CONST64(0x0008000000000008), CONST64(0x0008000800000008), + CONST64(0x0008080000000000), CONST64(0x0008080800000000), CONST64(0x0008080000000008), CONST64(0x0008080800000008), + CONST64(0x0008000000000800), CONST64(0x0008000800000800), CONST64(0x0008000000000808), CONST64(0x0008000800000808), + CONST64(0x0008080000000800), CONST64(0x0008080800000800), CONST64(0x0008080000000808), CONST64(0x0008080800000808), + CONST64(0x0000000000080000), CONST64(0x0000000800080000), CONST64(0x0000000000080008), CONST64(0x0000000800080008), + CONST64(0x0000080000080000), CONST64(0x0000080800080000), CONST64(0x0000080000080008), CONST64(0x0000080800080008), + CONST64(0x0000000000080800), CONST64(0x0000000800080800), CONST64(0x0000000000080808), CONST64(0x0000000800080808), + CONST64(0x0000080000080800), CONST64(0x0000080800080800), CONST64(0x0000080000080808), CONST64(0x0000080800080808), + CONST64(0x0008000000080000), CONST64(0x0008000800080000), CONST64(0x0008000000080008), CONST64(0x0008000800080008), + CONST64(0x0008080000080000), CONST64(0x0008080800080000), CONST64(0x0008080000080008), CONST64(0x0008080800080008), + CONST64(0x0008000000080800), CONST64(0x0008000800080800), CONST64(0x0008000000080808), CONST64(0x0008000800080808), + CONST64(0x0008080000080800), CONST64(0x0008080800080800), CONST64(0x0008080000080808), CONST64(0x0008080800080808), + CONST64(0x0800000000000000), CONST64(0x0800000800000000), CONST64(0x0800000000000008), CONST64(0x0800000800000008), + CONST64(0x0800080000000000), CONST64(0x0800080800000000), CONST64(0x0800080000000008), CONST64(0x0800080800000008), + CONST64(0x0800000000000800), CONST64(0x0800000800000800), CONST64(0x0800000000000808), CONST64(0x0800000800000808), + CONST64(0x0800080000000800), CONST64(0x0800080800000800), CONST64(0x0800080000000808), CONST64(0x0800080800000808), + CONST64(0x0808000000000000), CONST64(0x0808000800000000), CONST64(0x0808000000000008), CONST64(0x0808000800000008), + CONST64(0x0808080000000000), CONST64(0x0808080800000000), CONST64(0x0808080000000008), CONST64(0x0808080800000008), + CONST64(0x0808000000000800), CONST64(0x0808000800000800), CONST64(0x0808000000000808), CONST64(0x0808000800000808), + CONST64(0x0808080000000800), CONST64(0x0808080800000800), CONST64(0x0808080000000808), CONST64(0x0808080800000808), + CONST64(0x0800000000080000), CONST64(0x0800000800080000), CONST64(0x0800000000080008), CONST64(0x0800000800080008), + CONST64(0x0800080000080000), CONST64(0x0800080800080000), CONST64(0x0800080000080008), CONST64(0x0800080800080008), + CONST64(0x0800000000080800), CONST64(0x0800000800080800), CONST64(0x0800000000080808), CONST64(0x0800000800080808), + CONST64(0x0800080000080800), CONST64(0x0800080800080800), CONST64(0x0800080000080808), CONST64(0x0800080800080808), + CONST64(0x0808000000080000), CONST64(0x0808000800080000), CONST64(0x0808000000080008), CONST64(0x0808000800080008), + CONST64(0x0808080000080000), CONST64(0x0808080800080000), CONST64(0x0808080000080008), CONST64(0x0808080800080008), + CONST64(0x0808000000080800), CONST64(0x0808000800080800), CONST64(0x0808000000080808), CONST64(0x0808000800080808), + CONST64(0x0808080000080800), CONST64(0x0808080800080800), CONST64(0x0808080000080808), CONST64(0x0808080800080808), + CONST64(0x0000000008000000), CONST64(0x0000000808000000), CONST64(0x0000000008000008), CONST64(0x0000000808000008), + CONST64(0x0000080008000000), CONST64(0x0000080808000000), CONST64(0x0000080008000008), CONST64(0x0000080808000008), + CONST64(0x0000000008000800), CONST64(0x0000000808000800), CONST64(0x0000000008000808), CONST64(0x0000000808000808), + CONST64(0x0000080008000800), CONST64(0x0000080808000800), CONST64(0x0000080008000808), CONST64(0x0000080808000808), + CONST64(0x0008000008000000), CONST64(0x0008000808000000), CONST64(0x0008000008000008), CONST64(0x0008000808000008), + CONST64(0x0008080008000000), CONST64(0x0008080808000000), CONST64(0x0008080008000008), CONST64(0x0008080808000008), + CONST64(0x0008000008000800), CONST64(0x0008000808000800), CONST64(0x0008000008000808), CONST64(0x0008000808000808), + CONST64(0x0008080008000800), CONST64(0x0008080808000800), CONST64(0x0008080008000808), CONST64(0x0008080808000808), + CONST64(0x0000000008080000), CONST64(0x0000000808080000), CONST64(0x0000000008080008), CONST64(0x0000000808080008), + CONST64(0x0000080008080000), CONST64(0x0000080808080000), CONST64(0x0000080008080008), CONST64(0x0000080808080008), + CONST64(0x0000000008080800), CONST64(0x0000000808080800), CONST64(0x0000000008080808), CONST64(0x0000000808080808), + CONST64(0x0000080008080800), CONST64(0x0000080808080800), CONST64(0x0000080008080808), CONST64(0x0000080808080808), + CONST64(0x0008000008080000), CONST64(0x0008000808080000), CONST64(0x0008000008080008), CONST64(0x0008000808080008), + CONST64(0x0008080008080000), CONST64(0x0008080808080000), CONST64(0x0008080008080008), CONST64(0x0008080808080008), + CONST64(0x0008000008080800), CONST64(0x0008000808080800), CONST64(0x0008000008080808), CONST64(0x0008000808080808), + CONST64(0x0008080008080800), CONST64(0x0008080808080800), CONST64(0x0008080008080808), CONST64(0x0008080808080808), + CONST64(0x0800000008000000), CONST64(0x0800000808000000), CONST64(0x0800000008000008), CONST64(0x0800000808000008), + CONST64(0x0800080008000000), CONST64(0x0800080808000000), CONST64(0x0800080008000008), CONST64(0x0800080808000008), + CONST64(0x0800000008000800), CONST64(0x0800000808000800), CONST64(0x0800000008000808), CONST64(0x0800000808000808), + CONST64(0x0800080008000800), CONST64(0x0800080808000800), CONST64(0x0800080008000808), CONST64(0x0800080808000808), + CONST64(0x0808000008000000), CONST64(0x0808000808000000), CONST64(0x0808000008000008), CONST64(0x0808000808000008), + CONST64(0x0808080008000000), CONST64(0x0808080808000000), CONST64(0x0808080008000008), CONST64(0x0808080808000008), + CONST64(0x0808000008000800), CONST64(0x0808000808000800), CONST64(0x0808000008000808), CONST64(0x0808000808000808), + CONST64(0x0808080008000800), CONST64(0x0808080808000800), CONST64(0x0808080008000808), CONST64(0x0808080808000808), + CONST64(0x0800000008080000), CONST64(0x0800000808080000), CONST64(0x0800000008080008), CONST64(0x0800000808080008), + CONST64(0x0800080008080000), CONST64(0x0800080808080000), CONST64(0x0800080008080008), CONST64(0x0800080808080008), + CONST64(0x0800000008080800), CONST64(0x0800000808080800), CONST64(0x0800000008080808), CONST64(0x0800000808080808), + CONST64(0x0800080008080800), CONST64(0x0800080808080800), CONST64(0x0800080008080808), CONST64(0x0800080808080808), + CONST64(0x0808000008080000), CONST64(0x0808000808080000), CONST64(0x0808000008080008), CONST64(0x0808000808080008), + CONST64(0x0808080008080000), CONST64(0x0808080808080000), CONST64(0x0808080008080008), CONST64(0x0808080808080008), + CONST64(0x0808000008080800), CONST64(0x0808000808080800), CONST64(0x0808000008080808), CONST64(0x0808000808080808), CONST64(0x0808080008080800), CONST64(0x0808080808080800), CONST64(0x0808080008080808), CONST64(0x0808080808080808) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000000400000000), CONST64(0x0000000000000004), CONST64(0x0000000400000004), - CONST64(0x0000040000000000), CONST64(0x0000040400000000), CONST64(0x0000040000000004), CONST64(0x0000040400000004), - CONST64(0x0000000000000400), CONST64(0x0000000400000400), CONST64(0x0000000000000404), CONST64(0x0000000400000404), - CONST64(0x0000040000000400), CONST64(0x0000040400000400), CONST64(0x0000040000000404), CONST64(0x0000040400000404), - CONST64(0x0004000000000000), CONST64(0x0004000400000000), CONST64(0x0004000000000004), CONST64(0x0004000400000004), - CONST64(0x0004040000000000), CONST64(0x0004040400000000), CONST64(0x0004040000000004), CONST64(0x0004040400000004), - CONST64(0x0004000000000400), CONST64(0x0004000400000400), CONST64(0x0004000000000404), CONST64(0x0004000400000404), - CONST64(0x0004040000000400), CONST64(0x0004040400000400), CONST64(0x0004040000000404), CONST64(0x0004040400000404), - CONST64(0x0000000000040000), CONST64(0x0000000400040000), CONST64(0x0000000000040004), CONST64(0x0000000400040004), - CONST64(0x0000040000040000), CONST64(0x0000040400040000), CONST64(0x0000040000040004), CONST64(0x0000040400040004), - CONST64(0x0000000000040400), CONST64(0x0000000400040400), CONST64(0x0000000000040404), CONST64(0x0000000400040404), - CONST64(0x0000040000040400), CONST64(0x0000040400040400), CONST64(0x0000040000040404), CONST64(0x0000040400040404), - CONST64(0x0004000000040000), CONST64(0x0004000400040000), CONST64(0x0004000000040004), CONST64(0x0004000400040004), - CONST64(0x0004040000040000), CONST64(0x0004040400040000), CONST64(0x0004040000040004), CONST64(0x0004040400040004), - CONST64(0x0004000000040400), CONST64(0x0004000400040400), CONST64(0x0004000000040404), CONST64(0x0004000400040404), - CONST64(0x0004040000040400), CONST64(0x0004040400040400), CONST64(0x0004040000040404), CONST64(0x0004040400040404), - CONST64(0x0400000000000000), CONST64(0x0400000400000000), CONST64(0x0400000000000004), CONST64(0x0400000400000004), - CONST64(0x0400040000000000), CONST64(0x0400040400000000), CONST64(0x0400040000000004), CONST64(0x0400040400000004), - CONST64(0x0400000000000400), CONST64(0x0400000400000400), CONST64(0x0400000000000404), CONST64(0x0400000400000404), - CONST64(0x0400040000000400), CONST64(0x0400040400000400), CONST64(0x0400040000000404), CONST64(0x0400040400000404), - CONST64(0x0404000000000000), CONST64(0x0404000400000000), CONST64(0x0404000000000004), CONST64(0x0404000400000004), - CONST64(0x0404040000000000), CONST64(0x0404040400000000), CONST64(0x0404040000000004), CONST64(0x0404040400000004), - CONST64(0x0404000000000400), CONST64(0x0404000400000400), CONST64(0x0404000000000404), CONST64(0x0404000400000404), - CONST64(0x0404040000000400), CONST64(0x0404040400000400), CONST64(0x0404040000000404), CONST64(0x0404040400000404), - CONST64(0x0400000000040000), CONST64(0x0400000400040000), CONST64(0x0400000000040004), CONST64(0x0400000400040004), - CONST64(0x0400040000040000), CONST64(0x0400040400040000), CONST64(0x0400040000040004), CONST64(0x0400040400040004), - CONST64(0x0400000000040400), CONST64(0x0400000400040400), CONST64(0x0400000000040404), CONST64(0x0400000400040404), - CONST64(0x0400040000040400), CONST64(0x0400040400040400), CONST64(0x0400040000040404), CONST64(0x0400040400040404), - CONST64(0x0404000000040000), CONST64(0x0404000400040000), CONST64(0x0404000000040004), CONST64(0x0404000400040004), - CONST64(0x0404040000040000), CONST64(0x0404040400040000), CONST64(0x0404040000040004), CONST64(0x0404040400040004), - CONST64(0x0404000000040400), CONST64(0x0404000400040400), CONST64(0x0404000000040404), CONST64(0x0404000400040404), - CONST64(0x0404040000040400), CONST64(0x0404040400040400), CONST64(0x0404040000040404), CONST64(0x0404040400040404), - CONST64(0x0000000004000000), CONST64(0x0000000404000000), CONST64(0x0000000004000004), CONST64(0x0000000404000004), - CONST64(0x0000040004000000), CONST64(0x0000040404000000), CONST64(0x0000040004000004), CONST64(0x0000040404000004), - CONST64(0x0000000004000400), CONST64(0x0000000404000400), CONST64(0x0000000004000404), CONST64(0x0000000404000404), - CONST64(0x0000040004000400), CONST64(0x0000040404000400), CONST64(0x0000040004000404), CONST64(0x0000040404000404), - CONST64(0x0004000004000000), CONST64(0x0004000404000000), CONST64(0x0004000004000004), CONST64(0x0004000404000004), - CONST64(0x0004040004000000), CONST64(0x0004040404000000), CONST64(0x0004040004000004), CONST64(0x0004040404000004), - CONST64(0x0004000004000400), CONST64(0x0004000404000400), CONST64(0x0004000004000404), CONST64(0x0004000404000404), - CONST64(0x0004040004000400), CONST64(0x0004040404000400), CONST64(0x0004040004000404), CONST64(0x0004040404000404), - CONST64(0x0000000004040000), CONST64(0x0000000404040000), CONST64(0x0000000004040004), CONST64(0x0000000404040004), - CONST64(0x0000040004040000), CONST64(0x0000040404040000), CONST64(0x0000040004040004), CONST64(0x0000040404040004), - CONST64(0x0000000004040400), CONST64(0x0000000404040400), CONST64(0x0000000004040404), CONST64(0x0000000404040404), - CONST64(0x0000040004040400), CONST64(0x0000040404040400), CONST64(0x0000040004040404), CONST64(0x0000040404040404), - CONST64(0x0004000004040000), CONST64(0x0004000404040000), CONST64(0x0004000004040004), CONST64(0x0004000404040004), - CONST64(0x0004040004040000), CONST64(0x0004040404040000), CONST64(0x0004040004040004), CONST64(0x0004040404040004), - CONST64(0x0004000004040400), CONST64(0x0004000404040400), CONST64(0x0004000004040404), CONST64(0x0004000404040404), - CONST64(0x0004040004040400), CONST64(0x0004040404040400), CONST64(0x0004040004040404), CONST64(0x0004040404040404), - CONST64(0x0400000004000000), CONST64(0x0400000404000000), CONST64(0x0400000004000004), CONST64(0x0400000404000004), - CONST64(0x0400040004000000), CONST64(0x0400040404000000), CONST64(0x0400040004000004), CONST64(0x0400040404000004), - CONST64(0x0400000004000400), CONST64(0x0400000404000400), CONST64(0x0400000004000404), CONST64(0x0400000404000404), - CONST64(0x0400040004000400), CONST64(0x0400040404000400), CONST64(0x0400040004000404), CONST64(0x0400040404000404), - CONST64(0x0404000004000000), CONST64(0x0404000404000000), CONST64(0x0404000004000004), CONST64(0x0404000404000004), - CONST64(0x0404040004000000), CONST64(0x0404040404000000), CONST64(0x0404040004000004), CONST64(0x0404040404000004), - CONST64(0x0404000004000400), CONST64(0x0404000404000400), CONST64(0x0404000004000404), CONST64(0x0404000404000404), - CONST64(0x0404040004000400), CONST64(0x0404040404000400), CONST64(0x0404040004000404), CONST64(0x0404040404000404), - CONST64(0x0400000004040000), CONST64(0x0400000404040000), CONST64(0x0400000004040004), CONST64(0x0400000404040004), - CONST64(0x0400040004040000), CONST64(0x0400040404040000), CONST64(0x0400040004040004), CONST64(0x0400040404040004), - CONST64(0x0400000004040400), CONST64(0x0400000404040400), CONST64(0x0400000004040404), CONST64(0x0400000404040404), - CONST64(0x0400040004040400), CONST64(0x0400040404040400), CONST64(0x0400040004040404), CONST64(0x0400040404040404), - CONST64(0x0404000004040000), CONST64(0x0404000404040000), CONST64(0x0404000004040004), CONST64(0x0404000404040004), - CONST64(0x0404040004040000), CONST64(0x0404040404040000), CONST64(0x0404040004040004), CONST64(0x0404040404040004), - CONST64(0x0404000004040400), CONST64(0x0404000404040400), CONST64(0x0404000004040404), CONST64(0x0404000404040404), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000000400000000), CONST64(0x0000000000000004), CONST64(0x0000000400000004), + CONST64(0x0000040000000000), CONST64(0x0000040400000000), CONST64(0x0000040000000004), CONST64(0x0000040400000004), + CONST64(0x0000000000000400), CONST64(0x0000000400000400), CONST64(0x0000000000000404), CONST64(0x0000000400000404), + CONST64(0x0000040000000400), CONST64(0x0000040400000400), CONST64(0x0000040000000404), CONST64(0x0000040400000404), + CONST64(0x0004000000000000), CONST64(0x0004000400000000), CONST64(0x0004000000000004), CONST64(0x0004000400000004), + CONST64(0x0004040000000000), CONST64(0x0004040400000000), CONST64(0x0004040000000004), CONST64(0x0004040400000004), + CONST64(0x0004000000000400), CONST64(0x0004000400000400), CONST64(0x0004000000000404), CONST64(0x0004000400000404), + CONST64(0x0004040000000400), CONST64(0x0004040400000400), CONST64(0x0004040000000404), CONST64(0x0004040400000404), + CONST64(0x0000000000040000), CONST64(0x0000000400040000), CONST64(0x0000000000040004), CONST64(0x0000000400040004), + CONST64(0x0000040000040000), CONST64(0x0000040400040000), CONST64(0x0000040000040004), CONST64(0x0000040400040004), + CONST64(0x0000000000040400), CONST64(0x0000000400040400), CONST64(0x0000000000040404), CONST64(0x0000000400040404), + CONST64(0x0000040000040400), CONST64(0x0000040400040400), CONST64(0x0000040000040404), CONST64(0x0000040400040404), + CONST64(0x0004000000040000), CONST64(0x0004000400040000), CONST64(0x0004000000040004), CONST64(0x0004000400040004), + CONST64(0x0004040000040000), CONST64(0x0004040400040000), CONST64(0x0004040000040004), CONST64(0x0004040400040004), + CONST64(0x0004000000040400), CONST64(0x0004000400040400), CONST64(0x0004000000040404), CONST64(0x0004000400040404), + CONST64(0x0004040000040400), CONST64(0x0004040400040400), CONST64(0x0004040000040404), CONST64(0x0004040400040404), + CONST64(0x0400000000000000), CONST64(0x0400000400000000), CONST64(0x0400000000000004), CONST64(0x0400000400000004), + CONST64(0x0400040000000000), CONST64(0x0400040400000000), CONST64(0x0400040000000004), CONST64(0x0400040400000004), + CONST64(0x0400000000000400), CONST64(0x0400000400000400), CONST64(0x0400000000000404), CONST64(0x0400000400000404), + CONST64(0x0400040000000400), CONST64(0x0400040400000400), CONST64(0x0400040000000404), CONST64(0x0400040400000404), + CONST64(0x0404000000000000), CONST64(0x0404000400000000), CONST64(0x0404000000000004), CONST64(0x0404000400000004), + CONST64(0x0404040000000000), CONST64(0x0404040400000000), CONST64(0x0404040000000004), CONST64(0x0404040400000004), + CONST64(0x0404000000000400), CONST64(0x0404000400000400), CONST64(0x0404000000000404), CONST64(0x0404000400000404), + CONST64(0x0404040000000400), CONST64(0x0404040400000400), CONST64(0x0404040000000404), CONST64(0x0404040400000404), + CONST64(0x0400000000040000), CONST64(0x0400000400040000), CONST64(0x0400000000040004), CONST64(0x0400000400040004), + CONST64(0x0400040000040000), CONST64(0x0400040400040000), CONST64(0x0400040000040004), CONST64(0x0400040400040004), + CONST64(0x0400000000040400), CONST64(0x0400000400040400), CONST64(0x0400000000040404), CONST64(0x0400000400040404), + CONST64(0x0400040000040400), CONST64(0x0400040400040400), CONST64(0x0400040000040404), CONST64(0x0400040400040404), + CONST64(0x0404000000040000), CONST64(0x0404000400040000), CONST64(0x0404000000040004), CONST64(0x0404000400040004), + CONST64(0x0404040000040000), CONST64(0x0404040400040000), CONST64(0x0404040000040004), CONST64(0x0404040400040004), + CONST64(0x0404000000040400), CONST64(0x0404000400040400), CONST64(0x0404000000040404), CONST64(0x0404000400040404), + CONST64(0x0404040000040400), CONST64(0x0404040400040400), CONST64(0x0404040000040404), CONST64(0x0404040400040404), + CONST64(0x0000000004000000), CONST64(0x0000000404000000), CONST64(0x0000000004000004), CONST64(0x0000000404000004), + CONST64(0x0000040004000000), CONST64(0x0000040404000000), CONST64(0x0000040004000004), CONST64(0x0000040404000004), + CONST64(0x0000000004000400), CONST64(0x0000000404000400), CONST64(0x0000000004000404), CONST64(0x0000000404000404), + CONST64(0x0000040004000400), CONST64(0x0000040404000400), CONST64(0x0000040004000404), CONST64(0x0000040404000404), + CONST64(0x0004000004000000), CONST64(0x0004000404000000), CONST64(0x0004000004000004), CONST64(0x0004000404000004), + CONST64(0x0004040004000000), CONST64(0x0004040404000000), CONST64(0x0004040004000004), CONST64(0x0004040404000004), + CONST64(0x0004000004000400), CONST64(0x0004000404000400), CONST64(0x0004000004000404), CONST64(0x0004000404000404), + CONST64(0x0004040004000400), CONST64(0x0004040404000400), CONST64(0x0004040004000404), CONST64(0x0004040404000404), + CONST64(0x0000000004040000), CONST64(0x0000000404040000), CONST64(0x0000000004040004), CONST64(0x0000000404040004), + CONST64(0x0000040004040000), CONST64(0x0000040404040000), CONST64(0x0000040004040004), CONST64(0x0000040404040004), + CONST64(0x0000000004040400), CONST64(0x0000000404040400), CONST64(0x0000000004040404), CONST64(0x0000000404040404), + CONST64(0x0000040004040400), CONST64(0x0000040404040400), CONST64(0x0000040004040404), CONST64(0x0000040404040404), + CONST64(0x0004000004040000), CONST64(0x0004000404040000), CONST64(0x0004000004040004), CONST64(0x0004000404040004), + CONST64(0x0004040004040000), CONST64(0x0004040404040000), CONST64(0x0004040004040004), CONST64(0x0004040404040004), + CONST64(0x0004000004040400), CONST64(0x0004000404040400), CONST64(0x0004000004040404), CONST64(0x0004000404040404), + CONST64(0x0004040004040400), CONST64(0x0004040404040400), CONST64(0x0004040004040404), CONST64(0x0004040404040404), + CONST64(0x0400000004000000), CONST64(0x0400000404000000), CONST64(0x0400000004000004), CONST64(0x0400000404000004), + CONST64(0x0400040004000000), CONST64(0x0400040404000000), CONST64(0x0400040004000004), CONST64(0x0400040404000004), + CONST64(0x0400000004000400), CONST64(0x0400000404000400), CONST64(0x0400000004000404), CONST64(0x0400000404000404), + CONST64(0x0400040004000400), CONST64(0x0400040404000400), CONST64(0x0400040004000404), CONST64(0x0400040404000404), + CONST64(0x0404000004000000), CONST64(0x0404000404000000), CONST64(0x0404000004000004), CONST64(0x0404000404000004), + CONST64(0x0404040004000000), CONST64(0x0404040404000000), CONST64(0x0404040004000004), CONST64(0x0404040404000004), + CONST64(0x0404000004000400), CONST64(0x0404000404000400), CONST64(0x0404000004000404), CONST64(0x0404000404000404), + CONST64(0x0404040004000400), CONST64(0x0404040404000400), CONST64(0x0404040004000404), CONST64(0x0404040404000404), + CONST64(0x0400000004040000), CONST64(0x0400000404040000), CONST64(0x0400000004040004), CONST64(0x0400000404040004), + CONST64(0x0400040004040000), CONST64(0x0400040404040000), CONST64(0x0400040004040004), CONST64(0x0400040404040004), + CONST64(0x0400000004040400), CONST64(0x0400000404040400), CONST64(0x0400000004040404), CONST64(0x0400000404040404), + CONST64(0x0400040004040400), CONST64(0x0400040404040400), CONST64(0x0400040004040404), CONST64(0x0400040404040404), + CONST64(0x0404000004040000), CONST64(0x0404000404040000), CONST64(0x0404000004040004), CONST64(0x0404000404040004), + CONST64(0x0404040004040000), CONST64(0x0404040404040000), CONST64(0x0404040004040004), CONST64(0x0404040404040004), + CONST64(0x0404000004040400), CONST64(0x0404000404040400), CONST64(0x0404000004040404), CONST64(0x0404000404040404), CONST64(0x0404040004040400), CONST64(0x0404040404040400), CONST64(0x0404040004040404), CONST64(0x0404040404040404) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000000200000000), CONST64(0x0000000000000002), CONST64(0x0000000200000002), - CONST64(0x0000020000000000), CONST64(0x0000020200000000), CONST64(0x0000020000000002), CONST64(0x0000020200000002), - CONST64(0x0000000000000200), CONST64(0x0000000200000200), CONST64(0x0000000000000202), CONST64(0x0000000200000202), - CONST64(0x0000020000000200), CONST64(0x0000020200000200), CONST64(0x0000020000000202), CONST64(0x0000020200000202), - CONST64(0x0002000000000000), CONST64(0x0002000200000000), CONST64(0x0002000000000002), CONST64(0x0002000200000002), - CONST64(0x0002020000000000), CONST64(0x0002020200000000), CONST64(0x0002020000000002), CONST64(0x0002020200000002), - CONST64(0x0002000000000200), CONST64(0x0002000200000200), CONST64(0x0002000000000202), CONST64(0x0002000200000202), - CONST64(0x0002020000000200), CONST64(0x0002020200000200), CONST64(0x0002020000000202), CONST64(0x0002020200000202), - CONST64(0x0000000000020000), CONST64(0x0000000200020000), CONST64(0x0000000000020002), CONST64(0x0000000200020002), - CONST64(0x0000020000020000), CONST64(0x0000020200020000), CONST64(0x0000020000020002), CONST64(0x0000020200020002), - CONST64(0x0000000000020200), CONST64(0x0000000200020200), CONST64(0x0000000000020202), CONST64(0x0000000200020202), - CONST64(0x0000020000020200), CONST64(0x0000020200020200), CONST64(0x0000020000020202), CONST64(0x0000020200020202), - CONST64(0x0002000000020000), CONST64(0x0002000200020000), CONST64(0x0002000000020002), CONST64(0x0002000200020002), - CONST64(0x0002020000020000), CONST64(0x0002020200020000), CONST64(0x0002020000020002), CONST64(0x0002020200020002), - CONST64(0x0002000000020200), CONST64(0x0002000200020200), CONST64(0x0002000000020202), CONST64(0x0002000200020202), - CONST64(0x0002020000020200), CONST64(0x0002020200020200), CONST64(0x0002020000020202), CONST64(0x0002020200020202), - CONST64(0x0200000000000000), CONST64(0x0200000200000000), CONST64(0x0200000000000002), CONST64(0x0200000200000002), - CONST64(0x0200020000000000), CONST64(0x0200020200000000), CONST64(0x0200020000000002), CONST64(0x0200020200000002), - CONST64(0x0200000000000200), CONST64(0x0200000200000200), CONST64(0x0200000000000202), CONST64(0x0200000200000202), - CONST64(0x0200020000000200), CONST64(0x0200020200000200), CONST64(0x0200020000000202), CONST64(0x0200020200000202), - CONST64(0x0202000000000000), CONST64(0x0202000200000000), CONST64(0x0202000000000002), CONST64(0x0202000200000002), - CONST64(0x0202020000000000), CONST64(0x0202020200000000), CONST64(0x0202020000000002), CONST64(0x0202020200000002), - CONST64(0x0202000000000200), CONST64(0x0202000200000200), CONST64(0x0202000000000202), CONST64(0x0202000200000202), - CONST64(0x0202020000000200), CONST64(0x0202020200000200), CONST64(0x0202020000000202), CONST64(0x0202020200000202), - CONST64(0x0200000000020000), CONST64(0x0200000200020000), CONST64(0x0200000000020002), CONST64(0x0200000200020002), - CONST64(0x0200020000020000), CONST64(0x0200020200020000), CONST64(0x0200020000020002), CONST64(0x0200020200020002), - CONST64(0x0200000000020200), CONST64(0x0200000200020200), CONST64(0x0200000000020202), CONST64(0x0200000200020202), - CONST64(0x0200020000020200), CONST64(0x0200020200020200), CONST64(0x0200020000020202), CONST64(0x0200020200020202), - CONST64(0x0202000000020000), CONST64(0x0202000200020000), CONST64(0x0202000000020002), CONST64(0x0202000200020002), - CONST64(0x0202020000020000), CONST64(0x0202020200020000), CONST64(0x0202020000020002), CONST64(0x0202020200020002), - CONST64(0x0202000000020200), CONST64(0x0202000200020200), CONST64(0x0202000000020202), CONST64(0x0202000200020202), - CONST64(0x0202020000020200), CONST64(0x0202020200020200), CONST64(0x0202020000020202), CONST64(0x0202020200020202), - CONST64(0x0000000002000000), CONST64(0x0000000202000000), CONST64(0x0000000002000002), CONST64(0x0000000202000002), - CONST64(0x0000020002000000), CONST64(0x0000020202000000), CONST64(0x0000020002000002), CONST64(0x0000020202000002), - CONST64(0x0000000002000200), CONST64(0x0000000202000200), CONST64(0x0000000002000202), CONST64(0x0000000202000202), - CONST64(0x0000020002000200), CONST64(0x0000020202000200), CONST64(0x0000020002000202), CONST64(0x0000020202000202), - CONST64(0x0002000002000000), CONST64(0x0002000202000000), CONST64(0x0002000002000002), CONST64(0x0002000202000002), - CONST64(0x0002020002000000), CONST64(0x0002020202000000), CONST64(0x0002020002000002), CONST64(0x0002020202000002), - CONST64(0x0002000002000200), CONST64(0x0002000202000200), CONST64(0x0002000002000202), CONST64(0x0002000202000202), - CONST64(0x0002020002000200), CONST64(0x0002020202000200), CONST64(0x0002020002000202), CONST64(0x0002020202000202), - CONST64(0x0000000002020000), CONST64(0x0000000202020000), CONST64(0x0000000002020002), CONST64(0x0000000202020002), - CONST64(0x0000020002020000), CONST64(0x0000020202020000), CONST64(0x0000020002020002), CONST64(0x0000020202020002), - CONST64(0x0000000002020200), CONST64(0x0000000202020200), CONST64(0x0000000002020202), CONST64(0x0000000202020202), - CONST64(0x0000020002020200), CONST64(0x0000020202020200), CONST64(0x0000020002020202), CONST64(0x0000020202020202), - CONST64(0x0002000002020000), CONST64(0x0002000202020000), CONST64(0x0002000002020002), CONST64(0x0002000202020002), - CONST64(0x0002020002020000), CONST64(0x0002020202020000), CONST64(0x0002020002020002), CONST64(0x0002020202020002), - CONST64(0x0002000002020200), CONST64(0x0002000202020200), CONST64(0x0002000002020202), CONST64(0x0002000202020202), - CONST64(0x0002020002020200), CONST64(0x0002020202020200), CONST64(0x0002020002020202), CONST64(0x0002020202020202), - CONST64(0x0200000002000000), CONST64(0x0200000202000000), CONST64(0x0200000002000002), CONST64(0x0200000202000002), - CONST64(0x0200020002000000), CONST64(0x0200020202000000), CONST64(0x0200020002000002), CONST64(0x0200020202000002), - CONST64(0x0200000002000200), CONST64(0x0200000202000200), CONST64(0x0200000002000202), CONST64(0x0200000202000202), - CONST64(0x0200020002000200), CONST64(0x0200020202000200), CONST64(0x0200020002000202), CONST64(0x0200020202000202), - CONST64(0x0202000002000000), CONST64(0x0202000202000000), CONST64(0x0202000002000002), CONST64(0x0202000202000002), - CONST64(0x0202020002000000), CONST64(0x0202020202000000), CONST64(0x0202020002000002), CONST64(0x0202020202000002), - CONST64(0x0202000002000200), CONST64(0x0202000202000200), CONST64(0x0202000002000202), CONST64(0x0202000202000202), - CONST64(0x0202020002000200), CONST64(0x0202020202000200), CONST64(0x0202020002000202), CONST64(0x0202020202000202), - CONST64(0x0200000002020000), CONST64(0x0200000202020000), CONST64(0x0200000002020002), CONST64(0x0200000202020002), - CONST64(0x0200020002020000), CONST64(0x0200020202020000), CONST64(0x0200020002020002), CONST64(0x0200020202020002), - CONST64(0x0200000002020200), CONST64(0x0200000202020200), CONST64(0x0200000002020202), CONST64(0x0200000202020202), - CONST64(0x0200020002020200), CONST64(0x0200020202020200), CONST64(0x0200020002020202), CONST64(0x0200020202020202), - CONST64(0x0202000002020000), CONST64(0x0202000202020000), CONST64(0x0202000002020002), CONST64(0x0202000202020002), - CONST64(0x0202020002020000), CONST64(0x0202020202020000), CONST64(0x0202020002020002), CONST64(0x0202020202020002), - CONST64(0x0202000002020200), CONST64(0x0202000202020200), CONST64(0x0202000002020202), CONST64(0x0202000202020202), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000000200000000), CONST64(0x0000000000000002), CONST64(0x0000000200000002), + CONST64(0x0000020000000000), CONST64(0x0000020200000000), CONST64(0x0000020000000002), CONST64(0x0000020200000002), + CONST64(0x0000000000000200), CONST64(0x0000000200000200), CONST64(0x0000000000000202), CONST64(0x0000000200000202), + CONST64(0x0000020000000200), CONST64(0x0000020200000200), CONST64(0x0000020000000202), CONST64(0x0000020200000202), + CONST64(0x0002000000000000), CONST64(0x0002000200000000), CONST64(0x0002000000000002), CONST64(0x0002000200000002), + CONST64(0x0002020000000000), CONST64(0x0002020200000000), CONST64(0x0002020000000002), CONST64(0x0002020200000002), + CONST64(0x0002000000000200), CONST64(0x0002000200000200), CONST64(0x0002000000000202), CONST64(0x0002000200000202), + CONST64(0x0002020000000200), CONST64(0x0002020200000200), CONST64(0x0002020000000202), CONST64(0x0002020200000202), + CONST64(0x0000000000020000), CONST64(0x0000000200020000), CONST64(0x0000000000020002), CONST64(0x0000000200020002), + CONST64(0x0000020000020000), CONST64(0x0000020200020000), CONST64(0x0000020000020002), CONST64(0x0000020200020002), + CONST64(0x0000000000020200), CONST64(0x0000000200020200), CONST64(0x0000000000020202), CONST64(0x0000000200020202), + CONST64(0x0000020000020200), CONST64(0x0000020200020200), CONST64(0x0000020000020202), CONST64(0x0000020200020202), + CONST64(0x0002000000020000), CONST64(0x0002000200020000), CONST64(0x0002000000020002), CONST64(0x0002000200020002), + CONST64(0x0002020000020000), CONST64(0x0002020200020000), CONST64(0x0002020000020002), CONST64(0x0002020200020002), + CONST64(0x0002000000020200), CONST64(0x0002000200020200), CONST64(0x0002000000020202), CONST64(0x0002000200020202), + CONST64(0x0002020000020200), CONST64(0x0002020200020200), CONST64(0x0002020000020202), CONST64(0x0002020200020202), + CONST64(0x0200000000000000), CONST64(0x0200000200000000), CONST64(0x0200000000000002), CONST64(0x0200000200000002), + CONST64(0x0200020000000000), CONST64(0x0200020200000000), CONST64(0x0200020000000002), CONST64(0x0200020200000002), + CONST64(0x0200000000000200), CONST64(0x0200000200000200), CONST64(0x0200000000000202), CONST64(0x0200000200000202), + CONST64(0x0200020000000200), CONST64(0x0200020200000200), CONST64(0x0200020000000202), CONST64(0x0200020200000202), + CONST64(0x0202000000000000), CONST64(0x0202000200000000), CONST64(0x0202000000000002), CONST64(0x0202000200000002), + CONST64(0x0202020000000000), CONST64(0x0202020200000000), CONST64(0x0202020000000002), CONST64(0x0202020200000002), + CONST64(0x0202000000000200), CONST64(0x0202000200000200), CONST64(0x0202000000000202), CONST64(0x0202000200000202), + CONST64(0x0202020000000200), CONST64(0x0202020200000200), CONST64(0x0202020000000202), CONST64(0x0202020200000202), + CONST64(0x0200000000020000), CONST64(0x0200000200020000), CONST64(0x0200000000020002), CONST64(0x0200000200020002), + CONST64(0x0200020000020000), CONST64(0x0200020200020000), CONST64(0x0200020000020002), CONST64(0x0200020200020002), + CONST64(0x0200000000020200), CONST64(0x0200000200020200), CONST64(0x0200000000020202), CONST64(0x0200000200020202), + CONST64(0x0200020000020200), CONST64(0x0200020200020200), CONST64(0x0200020000020202), CONST64(0x0200020200020202), + CONST64(0x0202000000020000), CONST64(0x0202000200020000), CONST64(0x0202000000020002), CONST64(0x0202000200020002), + CONST64(0x0202020000020000), CONST64(0x0202020200020000), CONST64(0x0202020000020002), CONST64(0x0202020200020002), + CONST64(0x0202000000020200), CONST64(0x0202000200020200), CONST64(0x0202000000020202), CONST64(0x0202000200020202), + CONST64(0x0202020000020200), CONST64(0x0202020200020200), CONST64(0x0202020000020202), CONST64(0x0202020200020202), + CONST64(0x0000000002000000), CONST64(0x0000000202000000), CONST64(0x0000000002000002), CONST64(0x0000000202000002), + CONST64(0x0000020002000000), CONST64(0x0000020202000000), CONST64(0x0000020002000002), CONST64(0x0000020202000002), + CONST64(0x0000000002000200), CONST64(0x0000000202000200), CONST64(0x0000000002000202), CONST64(0x0000000202000202), + CONST64(0x0000020002000200), CONST64(0x0000020202000200), CONST64(0x0000020002000202), CONST64(0x0000020202000202), + CONST64(0x0002000002000000), CONST64(0x0002000202000000), CONST64(0x0002000002000002), CONST64(0x0002000202000002), + CONST64(0x0002020002000000), CONST64(0x0002020202000000), CONST64(0x0002020002000002), CONST64(0x0002020202000002), + CONST64(0x0002000002000200), CONST64(0x0002000202000200), CONST64(0x0002000002000202), CONST64(0x0002000202000202), + CONST64(0x0002020002000200), CONST64(0x0002020202000200), CONST64(0x0002020002000202), CONST64(0x0002020202000202), + CONST64(0x0000000002020000), CONST64(0x0000000202020000), CONST64(0x0000000002020002), CONST64(0x0000000202020002), + CONST64(0x0000020002020000), CONST64(0x0000020202020000), CONST64(0x0000020002020002), CONST64(0x0000020202020002), + CONST64(0x0000000002020200), CONST64(0x0000000202020200), CONST64(0x0000000002020202), CONST64(0x0000000202020202), + CONST64(0x0000020002020200), CONST64(0x0000020202020200), CONST64(0x0000020002020202), CONST64(0x0000020202020202), + CONST64(0x0002000002020000), CONST64(0x0002000202020000), CONST64(0x0002000002020002), CONST64(0x0002000202020002), + CONST64(0x0002020002020000), CONST64(0x0002020202020000), CONST64(0x0002020002020002), CONST64(0x0002020202020002), + CONST64(0x0002000002020200), CONST64(0x0002000202020200), CONST64(0x0002000002020202), CONST64(0x0002000202020202), + CONST64(0x0002020002020200), CONST64(0x0002020202020200), CONST64(0x0002020002020202), CONST64(0x0002020202020202), + CONST64(0x0200000002000000), CONST64(0x0200000202000000), CONST64(0x0200000002000002), CONST64(0x0200000202000002), + CONST64(0x0200020002000000), CONST64(0x0200020202000000), CONST64(0x0200020002000002), CONST64(0x0200020202000002), + CONST64(0x0200000002000200), CONST64(0x0200000202000200), CONST64(0x0200000002000202), CONST64(0x0200000202000202), + CONST64(0x0200020002000200), CONST64(0x0200020202000200), CONST64(0x0200020002000202), CONST64(0x0200020202000202), + CONST64(0x0202000002000000), CONST64(0x0202000202000000), CONST64(0x0202000002000002), CONST64(0x0202000202000002), + CONST64(0x0202020002000000), CONST64(0x0202020202000000), CONST64(0x0202020002000002), CONST64(0x0202020202000002), + CONST64(0x0202000002000200), CONST64(0x0202000202000200), CONST64(0x0202000002000202), CONST64(0x0202000202000202), + CONST64(0x0202020002000200), CONST64(0x0202020202000200), CONST64(0x0202020002000202), CONST64(0x0202020202000202), + CONST64(0x0200000002020000), CONST64(0x0200000202020000), CONST64(0x0200000002020002), CONST64(0x0200000202020002), + CONST64(0x0200020002020000), CONST64(0x0200020202020000), CONST64(0x0200020002020002), CONST64(0x0200020202020002), + CONST64(0x0200000002020200), CONST64(0x0200000202020200), CONST64(0x0200000002020202), CONST64(0x0200000202020202), + CONST64(0x0200020002020200), CONST64(0x0200020202020200), CONST64(0x0200020002020202), CONST64(0x0200020202020202), + CONST64(0x0202000002020000), CONST64(0x0202000202020000), CONST64(0x0202000002020002), CONST64(0x0202000202020002), + CONST64(0x0202020002020000), CONST64(0x0202020202020000), CONST64(0x0202020002020002), CONST64(0x0202020202020002), + CONST64(0x0202000002020200), CONST64(0x0202000202020200), CONST64(0x0202000002020202), CONST64(0x0202000202020202), CONST64(0x0202020002020200), CONST64(0x0202020202020200), CONST64(0x0202020002020202), CONST64(0x0202020202020202) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000010000000000), CONST64(0x0000000000000100), CONST64(0x0000010000000100), - CONST64(0x0001000000000000), CONST64(0x0001010000000000), CONST64(0x0001000000000100), CONST64(0x0001010000000100), - CONST64(0x0000000000010000), CONST64(0x0000010000010000), CONST64(0x0000000000010100), CONST64(0x0000010000010100), - CONST64(0x0001000000010000), CONST64(0x0001010000010000), CONST64(0x0001000000010100), CONST64(0x0001010000010100), - CONST64(0x0100000000000000), CONST64(0x0100010000000000), CONST64(0x0100000000000100), CONST64(0x0100010000000100), - CONST64(0x0101000000000000), CONST64(0x0101010000000000), CONST64(0x0101000000000100), CONST64(0x0101010000000100), - CONST64(0x0100000000010000), CONST64(0x0100010000010000), CONST64(0x0100000000010100), CONST64(0x0100010000010100), - CONST64(0x0101000000010000), CONST64(0x0101010000010000), CONST64(0x0101000000010100), CONST64(0x0101010000010100), - CONST64(0x0000000001000000), CONST64(0x0000010001000000), CONST64(0x0000000001000100), CONST64(0x0000010001000100), - CONST64(0x0001000001000000), CONST64(0x0001010001000000), CONST64(0x0001000001000100), CONST64(0x0001010001000100), - CONST64(0x0000000001010000), CONST64(0x0000010001010000), CONST64(0x0000000001010100), CONST64(0x0000010001010100), - CONST64(0x0001000001010000), CONST64(0x0001010001010000), CONST64(0x0001000001010100), CONST64(0x0001010001010100), - CONST64(0x0100000001000000), CONST64(0x0100010001000000), CONST64(0x0100000001000100), CONST64(0x0100010001000100), - CONST64(0x0101000001000000), CONST64(0x0101010001000000), CONST64(0x0101000001000100), CONST64(0x0101010001000100), - CONST64(0x0100000001010000), CONST64(0x0100010001010000), CONST64(0x0100000001010100), CONST64(0x0100010001010100), - CONST64(0x0101000001010000), CONST64(0x0101010001010000), CONST64(0x0101000001010100), CONST64(0x0101010001010100), - CONST64(0x0000000100000000), CONST64(0x0000010100000000), CONST64(0x0000000100000100), CONST64(0x0000010100000100), - CONST64(0x0001000100000000), CONST64(0x0001010100000000), CONST64(0x0001000100000100), CONST64(0x0001010100000100), - CONST64(0x0000000100010000), CONST64(0x0000010100010000), CONST64(0x0000000100010100), CONST64(0x0000010100010100), - CONST64(0x0001000100010000), CONST64(0x0001010100010000), CONST64(0x0001000100010100), CONST64(0x0001010100010100), - CONST64(0x0100000100000000), CONST64(0x0100010100000000), CONST64(0x0100000100000100), CONST64(0x0100010100000100), - CONST64(0x0101000100000000), CONST64(0x0101010100000000), CONST64(0x0101000100000100), CONST64(0x0101010100000100), - CONST64(0x0100000100010000), CONST64(0x0100010100010000), CONST64(0x0100000100010100), CONST64(0x0100010100010100), - CONST64(0x0101000100010000), CONST64(0x0101010100010000), CONST64(0x0101000100010100), CONST64(0x0101010100010100), - CONST64(0x0000000101000000), CONST64(0x0000010101000000), CONST64(0x0000000101000100), CONST64(0x0000010101000100), - CONST64(0x0001000101000000), CONST64(0x0001010101000000), CONST64(0x0001000101000100), CONST64(0x0001010101000100), - CONST64(0x0000000101010000), CONST64(0x0000010101010000), CONST64(0x0000000101010100), CONST64(0x0000010101010100), - CONST64(0x0001000101010000), CONST64(0x0001010101010000), CONST64(0x0001000101010100), CONST64(0x0001010101010100), - CONST64(0x0100000101000000), CONST64(0x0100010101000000), CONST64(0x0100000101000100), CONST64(0x0100010101000100), - CONST64(0x0101000101000000), CONST64(0x0101010101000000), CONST64(0x0101000101000100), CONST64(0x0101010101000100), - CONST64(0x0100000101010000), CONST64(0x0100010101010000), CONST64(0x0100000101010100), CONST64(0x0100010101010100), - CONST64(0x0101000101010000), CONST64(0x0101010101010000), CONST64(0x0101000101010100), CONST64(0x0101010101010100), - CONST64(0x0000000000000001), CONST64(0x0000010000000001), CONST64(0x0000000000000101), CONST64(0x0000010000000101), - CONST64(0x0001000000000001), CONST64(0x0001010000000001), CONST64(0x0001000000000101), CONST64(0x0001010000000101), - CONST64(0x0000000000010001), CONST64(0x0000010000010001), CONST64(0x0000000000010101), CONST64(0x0000010000010101), - CONST64(0x0001000000010001), CONST64(0x0001010000010001), CONST64(0x0001000000010101), CONST64(0x0001010000010101), - CONST64(0x0100000000000001), CONST64(0x0100010000000001), CONST64(0x0100000000000101), CONST64(0x0100010000000101), - CONST64(0x0101000000000001), CONST64(0x0101010000000001), CONST64(0x0101000000000101), CONST64(0x0101010000000101), - CONST64(0x0100000000010001), CONST64(0x0100010000010001), CONST64(0x0100000000010101), CONST64(0x0100010000010101), - CONST64(0x0101000000010001), CONST64(0x0101010000010001), CONST64(0x0101000000010101), CONST64(0x0101010000010101), - CONST64(0x0000000001000001), CONST64(0x0000010001000001), CONST64(0x0000000001000101), CONST64(0x0000010001000101), - CONST64(0x0001000001000001), CONST64(0x0001010001000001), CONST64(0x0001000001000101), CONST64(0x0001010001000101), - CONST64(0x0000000001010001), CONST64(0x0000010001010001), CONST64(0x0000000001010101), CONST64(0x0000010001010101), - CONST64(0x0001000001010001), CONST64(0x0001010001010001), CONST64(0x0001000001010101), CONST64(0x0001010001010101), - CONST64(0x0100000001000001), CONST64(0x0100010001000001), CONST64(0x0100000001000101), CONST64(0x0100010001000101), - CONST64(0x0101000001000001), CONST64(0x0101010001000001), CONST64(0x0101000001000101), CONST64(0x0101010001000101), - CONST64(0x0100000001010001), CONST64(0x0100010001010001), CONST64(0x0100000001010101), CONST64(0x0100010001010101), - CONST64(0x0101000001010001), CONST64(0x0101010001010001), CONST64(0x0101000001010101), CONST64(0x0101010001010101), - CONST64(0x0000000100000001), CONST64(0x0000010100000001), CONST64(0x0000000100000101), CONST64(0x0000010100000101), - CONST64(0x0001000100000001), CONST64(0x0001010100000001), CONST64(0x0001000100000101), CONST64(0x0001010100000101), - CONST64(0x0000000100010001), CONST64(0x0000010100010001), CONST64(0x0000000100010101), CONST64(0x0000010100010101), - CONST64(0x0001000100010001), CONST64(0x0001010100010001), CONST64(0x0001000100010101), CONST64(0x0001010100010101), - CONST64(0x0100000100000001), CONST64(0x0100010100000001), CONST64(0x0100000100000101), CONST64(0x0100010100000101), - CONST64(0x0101000100000001), CONST64(0x0101010100000001), CONST64(0x0101000100000101), CONST64(0x0101010100000101), - CONST64(0x0100000100010001), CONST64(0x0100010100010001), CONST64(0x0100000100010101), CONST64(0x0100010100010101), - CONST64(0x0101000100010001), CONST64(0x0101010100010001), CONST64(0x0101000100010101), CONST64(0x0101010100010101), - CONST64(0x0000000101000001), CONST64(0x0000010101000001), CONST64(0x0000000101000101), CONST64(0x0000010101000101), - CONST64(0x0001000101000001), CONST64(0x0001010101000001), CONST64(0x0001000101000101), CONST64(0x0001010101000101), - CONST64(0x0000000101010001), CONST64(0x0000010101010001), CONST64(0x0000000101010101), CONST64(0x0000010101010101), - CONST64(0x0001000101010001), CONST64(0x0001010101010001), CONST64(0x0001000101010101), CONST64(0x0001010101010101), - CONST64(0x0100000101000001), CONST64(0x0100010101000001), CONST64(0x0100000101000101), CONST64(0x0100010101000101), - CONST64(0x0101000101000001), CONST64(0x0101010101000001), CONST64(0x0101000101000101), CONST64(0x0101010101000101), - CONST64(0x0100000101010001), CONST64(0x0100010101010001), CONST64(0x0100000101010101), CONST64(0x0100010101010101), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000010000000000), CONST64(0x0000000000000100), CONST64(0x0000010000000100), + CONST64(0x0001000000000000), CONST64(0x0001010000000000), CONST64(0x0001000000000100), CONST64(0x0001010000000100), + CONST64(0x0000000000010000), CONST64(0x0000010000010000), CONST64(0x0000000000010100), CONST64(0x0000010000010100), + CONST64(0x0001000000010000), CONST64(0x0001010000010000), CONST64(0x0001000000010100), CONST64(0x0001010000010100), + CONST64(0x0100000000000000), CONST64(0x0100010000000000), CONST64(0x0100000000000100), CONST64(0x0100010000000100), + CONST64(0x0101000000000000), CONST64(0x0101010000000000), CONST64(0x0101000000000100), CONST64(0x0101010000000100), + CONST64(0x0100000000010000), CONST64(0x0100010000010000), CONST64(0x0100000000010100), CONST64(0x0100010000010100), + CONST64(0x0101000000010000), CONST64(0x0101010000010000), CONST64(0x0101000000010100), CONST64(0x0101010000010100), + CONST64(0x0000000001000000), CONST64(0x0000010001000000), CONST64(0x0000000001000100), CONST64(0x0000010001000100), + CONST64(0x0001000001000000), CONST64(0x0001010001000000), CONST64(0x0001000001000100), CONST64(0x0001010001000100), + CONST64(0x0000000001010000), CONST64(0x0000010001010000), CONST64(0x0000000001010100), CONST64(0x0000010001010100), + CONST64(0x0001000001010000), CONST64(0x0001010001010000), CONST64(0x0001000001010100), CONST64(0x0001010001010100), + CONST64(0x0100000001000000), CONST64(0x0100010001000000), CONST64(0x0100000001000100), CONST64(0x0100010001000100), + CONST64(0x0101000001000000), CONST64(0x0101010001000000), CONST64(0x0101000001000100), CONST64(0x0101010001000100), + CONST64(0x0100000001010000), CONST64(0x0100010001010000), CONST64(0x0100000001010100), CONST64(0x0100010001010100), + CONST64(0x0101000001010000), CONST64(0x0101010001010000), CONST64(0x0101000001010100), CONST64(0x0101010001010100), + CONST64(0x0000000100000000), CONST64(0x0000010100000000), CONST64(0x0000000100000100), CONST64(0x0000010100000100), + CONST64(0x0001000100000000), CONST64(0x0001010100000000), CONST64(0x0001000100000100), CONST64(0x0001010100000100), + CONST64(0x0000000100010000), CONST64(0x0000010100010000), CONST64(0x0000000100010100), CONST64(0x0000010100010100), + CONST64(0x0001000100010000), CONST64(0x0001010100010000), CONST64(0x0001000100010100), CONST64(0x0001010100010100), + CONST64(0x0100000100000000), CONST64(0x0100010100000000), CONST64(0x0100000100000100), CONST64(0x0100010100000100), + CONST64(0x0101000100000000), CONST64(0x0101010100000000), CONST64(0x0101000100000100), CONST64(0x0101010100000100), + CONST64(0x0100000100010000), CONST64(0x0100010100010000), CONST64(0x0100000100010100), CONST64(0x0100010100010100), + CONST64(0x0101000100010000), CONST64(0x0101010100010000), CONST64(0x0101000100010100), CONST64(0x0101010100010100), + CONST64(0x0000000101000000), CONST64(0x0000010101000000), CONST64(0x0000000101000100), CONST64(0x0000010101000100), + CONST64(0x0001000101000000), CONST64(0x0001010101000000), CONST64(0x0001000101000100), CONST64(0x0001010101000100), + CONST64(0x0000000101010000), CONST64(0x0000010101010000), CONST64(0x0000000101010100), CONST64(0x0000010101010100), + CONST64(0x0001000101010000), CONST64(0x0001010101010000), CONST64(0x0001000101010100), CONST64(0x0001010101010100), + CONST64(0x0100000101000000), CONST64(0x0100010101000000), CONST64(0x0100000101000100), CONST64(0x0100010101000100), + CONST64(0x0101000101000000), CONST64(0x0101010101000000), CONST64(0x0101000101000100), CONST64(0x0101010101000100), + CONST64(0x0100000101010000), CONST64(0x0100010101010000), CONST64(0x0100000101010100), CONST64(0x0100010101010100), + CONST64(0x0101000101010000), CONST64(0x0101010101010000), CONST64(0x0101000101010100), CONST64(0x0101010101010100), + CONST64(0x0000000000000001), CONST64(0x0000010000000001), CONST64(0x0000000000000101), CONST64(0x0000010000000101), + CONST64(0x0001000000000001), CONST64(0x0001010000000001), CONST64(0x0001000000000101), CONST64(0x0001010000000101), + CONST64(0x0000000000010001), CONST64(0x0000010000010001), CONST64(0x0000000000010101), CONST64(0x0000010000010101), + CONST64(0x0001000000010001), CONST64(0x0001010000010001), CONST64(0x0001000000010101), CONST64(0x0001010000010101), + CONST64(0x0100000000000001), CONST64(0x0100010000000001), CONST64(0x0100000000000101), CONST64(0x0100010000000101), + CONST64(0x0101000000000001), CONST64(0x0101010000000001), CONST64(0x0101000000000101), CONST64(0x0101010000000101), + CONST64(0x0100000000010001), CONST64(0x0100010000010001), CONST64(0x0100000000010101), CONST64(0x0100010000010101), + CONST64(0x0101000000010001), CONST64(0x0101010000010001), CONST64(0x0101000000010101), CONST64(0x0101010000010101), + CONST64(0x0000000001000001), CONST64(0x0000010001000001), CONST64(0x0000000001000101), CONST64(0x0000010001000101), + CONST64(0x0001000001000001), CONST64(0x0001010001000001), CONST64(0x0001000001000101), CONST64(0x0001010001000101), + CONST64(0x0000000001010001), CONST64(0x0000010001010001), CONST64(0x0000000001010101), CONST64(0x0000010001010101), + CONST64(0x0001000001010001), CONST64(0x0001010001010001), CONST64(0x0001000001010101), CONST64(0x0001010001010101), + CONST64(0x0100000001000001), CONST64(0x0100010001000001), CONST64(0x0100000001000101), CONST64(0x0100010001000101), + CONST64(0x0101000001000001), CONST64(0x0101010001000001), CONST64(0x0101000001000101), CONST64(0x0101010001000101), + CONST64(0x0100000001010001), CONST64(0x0100010001010001), CONST64(0x0100000001010101), CONST64(0x0100010001010101), + CONST64(0x0101000001010001), CONST64(0x0101010001010001), CONST64(0x0101000001010101), CONST64(0x0101010001010101), + CONST64(0x0000000100000001), CONST64(0x0000010100000001), CONST64(0x0000000100000101), CONST64(0x0000010100000101), + CONST64(0x0001000100000001), CONST64(0x0001010100000001), CONST64(0x0001000100000101), CONST64(0x0001010100000101), + CONST64(0x0000000100010001), CONST64(0x0000010100010001), CONST64(0x0000000100010101), CONST64(0x0000010100010101), + CONST64(0x0001000100010001), CONST64(0x0001010100010001), CONST64(0x0001000100010101), CONST64(0x0001010100010101), + CONST64(0x0100000100000001), CONST64(0x0100010100000001), CONST64(0x0100000100000101), CONST64(0x0100010100000101), + CONST64(0x0101000100000001), CONST64(0x0101010100000001), CONST64(0x0101000100000101), CONST64(0x0101010100000101), + CONST64(0x0100000100010001), CONST64(0x0100010100010001), CONST64(0x0100000100010101), CONST64(0x0100010100010101), + CONST64(0x0101000100010001), CONST64(0x0101010100010001), CONST64(0x0101000100010101), CONST64(0x0101010100010101), + CONST64(0x0000000101000001), CONST64(0x0000010101000001), CONST64(0x0000000101000101), CONST64(0x0000010101000101), + CONST64(0x0001000101000001), CONST64(0x0001010101000001), CONST64(0x0001000101000101), CONST64(0x0001010101000101), + CONST64(0x0000000101010001), CONST64(0x0000010101010001), CONST64(0x0000000101010101), CONST64(0x0000010101010101), + CONST64(0x0001000101010001), CONST64(0x0001010101010001), CONST64(0x0001000101010101), CONST64(0x0001010101010101), + CONST64(0x0100000101000001), CONST64(0x0100010101000001), CONST64(0x0100000101000101), CONST64(0x0100010101000101), + CONST64(0x0101000101000001), CONST64(0x0101010101000001), CONST64(0x0101000101000101), CONST64(0x0101010101000101), + CONST64(0x0100000101010001), CONST64(0x0100010101010001), CONST64(0x0100000101010101), CONST64(0x0100010101010101), CONST64(0x0101000101010001), CONST64(0x0101010101010001), CONST64(0x0101000101010101), CONST64(0x0101010101010101) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000008000000000), CONST64(0x0000000000000080), CONST64(0x0000008000000080), - CONST64(0x0000800000000000), CONST64(0x0000808000000000), CONST64(0x0000800000000080), CONST64(0x0000808000000080), - CONST64(0x0000000000008000), CONST64(0x0000008000008000), CONST64(0x0000000000008080), CONST64(0x0000008000008080), - CONST64(0x0000800000008000), CONST64(0x0000808000008000), CONST64(0x0000800000008080), CONST64(0x0000808000008080), - CONST64(0x0080000000000000), CONST64(0x0080008000000000), CONST64(0x0080000000000080), CONST64(0x0080008000000080), - CONST64(0x0080800000000000), CONST64(0x0080808000000000), CONST64(0x0080800000000080), CONST64(0x0080808000000080), - CONST64(0x0080000000008000), CONST64(0x0080008000008000), CONST64(0x0080000000008080), CONST64(0x0080008000008080), - CONST64(0x0080800000008000), CONST64(0x0080808000008000), CONST64(0x0080800000008080), CONST64(0x0080808000008080), - CONST64(0x0000000000800000), CONST64(0x0000008000800000), CONST64(0x0000000000800080), CONST64(0x0000008000800080), - CONST64(0x0000800000800000), CONST64(0x0000808000800000), CONST64(0x0000800000800080), CONST64(0x0000808000800080), - CONST64(0x0000000000808000), CONST64(0x0000008000808000), CONST64(0x0000000000808080), CONST64(0x0000008000808080), - CONST64(0x0000800000808000), CONST64(0x0000808000808000), CONST64(0x0000800000808080), CONST64(0x0000808000808080), - CONST64(0x0080000000800000), CONST64(0x0080008000800000), CONST64(0x0080000000800080), CONST64(0x0080008000800080), - CONST64(0x0080800000800000), CONST64(0x0080808000800000), CONST64(0x0080800000800080), CONST64(0x0080808000800080), - CONST64(0x0080000000808000), CONST64(0x0080008000808000), CONST64(0x0080000000808080), CONST64(0x0080008000808080), - CONST64(0x0080800000808000), CONST64(0x0080808000808000), CONST64(0x0080800000808080), CONST64(0x0080808000808080), - CONST64(0x8000000000000000), CONST64(0x8000008000000000), CONST64(0x8000000000000080), CONST64(0x8000008000000080), - CONST64(0x8000800000000000), CONST64(0x8000808000000000), CONST64(0x8000800000000080), CONST64(0x8000808000000080), - CONST64(0x8000000000008000), CONST64(0x8000008000008000), CONST64(0x8000000000008080), CONST64(0x8000008000008080), - CONST64(0x8000800000008000), CONST64(0x8000808000008000), CONST64(0x8000800000008080), CONST64(0x8000808000008080), - CONST64(0x8080000000000000), CONST64(0x8080008000000000), CONST64(0x8080000000000080), CONST64(0x8080008000000080), - CONST64(0x8080800000000000), CONST64(0x8080808000000000), CONST64(0x8080800000000080), CONST64(0x8080808000000080), - CONST64(0x8080000000008000), CONST64(0x8080008000008000), CONST64(0x8080000000008080), CONST64(0x8080008000008080), - CONST64(0x8080800000008000), CONST64(0x8080808000008000), CONST64(0x8080800000008080), CONST64(0x8080808000008080), - CONST64(0x8000000000800000), CONST64(0x8000008000800000), CONST64(0x8000000000800080), CONST64(0x8000008000800080), - CONST64(0x8000800000800000), CONST64(0x8000808000800000), CONST64(0x8000800000800080), CONST64(0x8000808000800080), - CONST64(0x8000000000808000), CONST64(0x8000008000808000), CONST64(0x8000000000808080), CONST64(0x8000008000808080), - CONST64(0x8000800000808000), CONST64(0x8000808000808000), CONST64(0x8000800000808080), CONST64(0x8000808000808080), - CONST64(0x8080000000800000), CONST64(0x8080008000800000), CONST64(0x8080000000800080), CONST64(0x8080008000800080), - CONST64(0x8080800000800000), CONST64(0x8080808000800000), CONST64(0x8080800000800080), CONST64(0x8080808000800080), - CONST64(0x8080000000808000), CONST64(0x8080008000808000), CONST64(0x8080000000808080), CONST64(0x8080008000808080), - CONST64(0x8080800000808000), CONST64(0x8080808000808000), CONST64(0x8080800000808080), CONST64(0x8080808000808080), - CONST64(0x0000000080000000), CONST64(0x0000008080000000), CONST64(0x0000000080000080), CONST64(0x0000008080000080), - CONST64(0x0000800080000000), CONST64(0x0000808080000000), CONST64(0x0000800080000080), CONST64(0x0000808080000080), - CONST64(0x0000000080008000), CONST64(0x0000008080008000), CONST64(0x0000000080008080), CONST64(0x0000008080008080), - CONST64(0x0000800080008000), CONST64(0x0000808080008000), CONST64(0x0000800080008080), CONST64(0x0000808080008080), - CONST64(0x0080000080000000), CONST64(0x0080008080000000), CONST64(0x0080000080000080), CONST64(0x0080008080000080), - CONST64(0x0080800080000000), CONST64(0x0080808080000000), CONST64(0x0080800080000080), CONST64(0x0080808080000080), - CONST64(0x0080000080008000), CONST64(0x0080008080008000), CONST64(0x0080000080008080), CONST64(0x0080008080008080), - CONST64(0x0080800080008000), CONST64(0x0080808080008000), CONST64(0x0080800080008080), CONST64(0x0080808080008080), - CONST64(0x0000000080800000), CONST64(0x0000008080800000), CONST64(0x0000000080800080), CONST64(0x0000008080800080), - CONST64(0x0000800080800000), CONST64(0x0000808080800000), CONST64(0x0000800080800080), CONST64(0x0000808080800080), - CONST64(0x0000000080808000), CONST64(0x0000008080808000), CONST64(0x0000000080808080), CONST64(0x0000008080808080), - CONST64(0x0000800080808000), CONST64(0x0000808080808000), CONST64(0x0000800080808080), CONST64(0x0000808080808080), - CONST64(0x0080000080800000), CONST64(0x0080008080800000), CONST64(0x0080000080800080), CONST64(0x0080008080800080), - CONST64(0x0080800080800000), CONST64(0x0080808080800000), CONST64(0x0080800080800080), CONST64(0x0080808080800080), - CONST64(0x0080000080808000), CONST64(0x0080008080808000), CONST64(0x0080000080808080), CONST64(0x0080008080808080), - CONST64(0x0080800080808000), CONST64(0x0080808080808000), CONST64(0x0080800080808080), CONST64(0x0080808080808080), - CONST64(0x8000000080000000), CONST64(0x8000008080000000), CONST64(0x8000000080000080), CONST64(0x8000008080000080), - CONST64(0x8000800080000000), CONST64(0x8000808080000000), CONST64(0x8000800080000080), CONST64(0x8000808080000080), - CONST64(0x8000000080008000), CONST64(0x8000008080008000), CONST64(0x8000000080008080), CONST64(0x8000008080008080), - CONST64(0x8000800080008000), CONST64(0x8000808080008000), CONST64(0x8000800080008080), CONST64(0x8000808080008080), - CONST64(0x8080000080000000), CONST64(0x8080008080000000), CONST64(0x8080000080000080), CONST64(0x8080008080000080), - CONST64(0x8080800080000000), CONST64(0x8080808080000000), CONST64(0x8080800080000080), CONST64(0x8080808080000080), - CONST64(0x8080000080008000), CONST64(0x8080008080008000), CONST64(0x8080000080008080), CONST64(0x8080008080008080), - CONST64(0x8080800080008000), CONST64(0x8080808080008000), CONST64(0x8080800080008080), CONST64(0x8080808080008080), - CONST64(0x8000000080800000), CONST64(0x8000008080800000), CONST64(0x8000000080800080), CONST64(0x8000008080800080), - CONST64(0x8000800080800000), CONST64(0x8000808080800000), CONST64(0x8000800080800080), CONST64(0x8000808080800080), - CONST64(0x8000000080808000), CONST64(0x8000008080808000), CONST64(0x8000000080808080), CONST64(0x8000008080808080), - CONST64(0x8000800080808000), CONST64(0x8000808080808000), CONST64(0x8000800080808080), CONST64(0x8000808080808080), - CONST64(0x8080000080800000), CONST64(0x8080008080800000), CONST64(0x8080000080800080), CONST64(0x8080008080800080), - CONST64(0x8080800080800000), CONST64(0x8080808080800000), CONST64(0x8080800080800080), CONST64(0x8080808080800080), - CONST64(0x8080000080808000), CONST64(0x8080008080808000), CONST64(0x8080000080808080), CONST64(0x8080008080808080), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000008000000000), CONST64(0x0000000000000080), CONST64(0x0000008000000080), + CONST64(0x0000800000000000), CONST64(0x0000808000000000), CONST64(0x0000800000000080), CONST64(0x0000808000000080), + CONST64(0x0000000000008000), CONST64(0x0000008000008000), CONST64(0x0000000000008080), CONST64(0x0000008000008080), + CONST64(0x0000800000008000), CONST64(0x0000808000008000), CONST64(0x0000800000008080), CONST64(0x0000808000008080), + CONST64(0x0080000000000000), CONST64(0x0080008000000000), CONST64(0x0080000000000080), CONST64(0x0080008000000080), + CONST64(0x0080800000000000), CONST64(0x0080808000000000), CONST64(0x0080800000000080), CONST64(0x0080808000000080), + CONST64(0x0080000000008000), CONST64(0x0080008000008000), CONST64(0x0080000000008080), CONST64(0x0080008000008080), + CONST64(0x0080800000008000), CONST64(0x0080808000008000), CONST64(0x0080800000008080), CONST64(0x0080808000008080), + CONST64(0x0000000000800000), CONST64(0x0000008000800000), CONST64(0x0000000000800080), CONST64(0x0000008000800080), + CONST64(0x0000800000800000), CONST64(0x0000808000800000), CONST64(0x0000800000800080), CONST64(0x0000808000800080), + CONST64(0x0000000000808000), CONST64(0x0000008000808000), CONST64(0x0000000000808080), CONST64(0x0000008000808080), + CONST64(0x0000800000808000), CONST64(0x0000808000808000), CONST64(0x0000800000808080), CONST64(0x0000808000808080), + CONST64(0x0080000000800000), CONST64(0x0080008000800000), CONST64(0x0080000000800080), CONST64(0x0080008000800080), + CONST64(0x0080800000800000), CONST64(0x0080808000800000), CONST64(0x0080800000800080), CONST64(0x0080808000800080), + CONST64(0x0080000000808000), CONST64(0x0080008000808000), CONST64(0x0080000000808080), CONST64(0x0080008000808080), + CONST64(0x0080800000808000), CONST64(0x0080808000808000), CONST64(0x0080800000808080), CONST64(0x0080808000808080), + CONST64(0x8000000000000000), CONST64(0x8000008000000000), CONST64(0x8000000000000080), CONST64(0x8000008000000080), + CONST64(0x8000800000000000), CONST64(0x8000808000000000), CONST64(0x8000800000000080), CONST64(0x8000808000000080), + CONST64(0x8000000000008000), CONST64(0x8000008000008000), CONST64(0x8000000000008080), CONST64(0x8000008000008080), + CONST64(0x8000800000008000), CONST64(0x8000808000008000), CONST64(0x8000800000008080), CONST64(0x8000808000008080), + CONST64(0x8080000000000000), CONST64(0x8080008000000000), CONST64(0x8080000000000080), CONST64(0x8080008000000080), + CONST64(0x8080800000000000), CONST64(0x8080808000000000), CONST64(0x8080800000000080), CONST64(0x8080808000000080), + CONST64(0x8080000000008000), CONST64(0x8080008000008000), CONST64(0x8080000000008080), CONST64(0x8080008000008080), + CONST64(0x8080800000008000), CONST64(0x8080808000008000), CONST64(0x8080800000008080), CONST64(0x8080808000008080), + CONST64(0x8000000000800000), CONST64(0x8000008000800000), CONST64(0x8000000000800080), CONST64(0x8000008000800080), + CONST64(0x8000800000800000), CONST64(0x8000808000800000), CONST64(0x8000800000800080), CONST64(0x8000808000800080), + CONST64(0x8000000000808000), CONST64(0x8000008000808000), CONST64(0x8000000000808080), CONST64(0x8000008000808080), + CONST64(0x8000800000808000), CONST64(0x8000808000808000), CONST64(0x8000800000808080), CONST64(0x8000808000808080), + CONST64(0x8080000000800000), CONST64(0x8080008000800000), CONST64(0x8080000000800080), CONST64(0x8080008000800080), + CONST64(0x8080800000800000), CONST64(0x8080808000800000), CONST64(0x8080800000800080), CONST64(0x8080808000800080), + CONST64(0x8080000000808000), CONST64(0x8080008000808000), CONST64(0x8080000000808080), CONST64(0x8080008000808080), + CONST64(0x8080800000808000), CONST64(0x8080808000808000), CONST64(0x8080800000808080), CONST64(0x8080808000808080), + CONST64(0x0000000080000000), CONST64(0x0000008080000000), CONST64(0x0000000080000080), CONST64(0x0000008080000080), + CONST64(0x0000800080000000), CONST64(0x0000808080000000), CONST64(0x0000800080000080), CONST64(0x0000808080000080), + CONST64(0x0000000080008000), CONST64(0x0000008080008000), CONST64(0x0000000080008080), CONST64(0x0000008080008080), + CONST64(0x0000800080008000), CONST64(0x0000808080008000), CONST64(0x0000800080008080), CONST64(0x0000808080008080), + CONST64(0x0080000080000000), CONST64(0x0080008080000000), CONST64(0x0080000080000080), CONST64(0x0080008080000080), + CONST64(0x0080800080000000), CONST64(0x0080808080000000), CONST64(0x0080800080000080), CONST64(0x0080808080000080), + CONST64(0x0080000080008000), CONST64(0x0080008080008000), CONST64(0x0080000080008080), CONST64(0x0080008080008080), + CONST64(0x0080800080008000), CONST64(0x0080808080008000), CONST64(0x0080800080008080), CONST64(0x0080808080008080), + CONST64(0x0000000080800000), CONST64(0x0000008080800000), CONST64(0x0000000080800080), CONST64(0x0000008080800080), + CONST64(0x0000800080800000), CONST64(0x0000808080800000), CONST64(0x0000800080800080), CONST64(0x0000808080800080), + CONST64(0x0000000080808000), CONST64(0x0000008080808000), CONST64(0x0000000080808080), CONST64(0x0000008080808080), + CONST64(0x0000800080808000), CONST64(0x0000808080808000), CONST64(0x0000800080808080), CONST64(0x0000808080808080), + CONST64(0x0080000080800000), CONST64(0x0080008080800000), CONST64(0x0080000080800080), CONST64(0x0080008080800080), + CONST64(0x0080800080800000), CONST64(0x0080808080800000), CONST64(0x0080800080800080), CONST64(0x0080808080800080), + CONST64(0x0080000080808000), CONST64(0x0080008080808000), CONST64(0x0080000080808080), CONST64(0x0080008080808080), + CONST64(0x0080800080808000), CONST64(0x0080808080808000), CONST64(0x0080800080808080), CONST64(0x0080808080808080), + CONST64(0x8000000080000000), CONST64(0x8000008080000000), CONST64(0x8000000080000080), CONST64(0x8000008080000080), + CONST64(0x8000800080000000), CONST64(0x8000808080000000), CONST64(0x8000800080000080), CONST64(0x8000808080000080), + CONST64(0x8000000080008000), CONST64(0x8000008080008000), CONST64(0x8000000080008080), CONST64(0x8000008080008080), + CONST64(0x8000800080008000), CONST64(0x8000808080008000), CONST64(0x8000800080008080), CONST64(0x8000808080008080), + CONST64(0x8080000080000000), CONST64(0x8080008080000000), CONST64(0x8080000080000080), CONST64(0x8080008080000080), + CONST64(0x8080800080000000), CONST64(0x8080808080000000), CONST64(0x8080800080000080), CONST64(0x8080808080000080), + CONST64(0x8080000080008000), CONST64(0x8080008080008000), CONST64(0x8080000080008080), CONST64(0x8080008080008080), + CONST64(0x8080800080008000), CONST64(0x8080808080008000), CONST64(0x8080800080008080), CONST64(0x8080808080008080), + CONST64(0x8000000080800000), CONST64(0x8000008080800000), CONST64(0x8000000080800080), CONST64(0x8000008080800080), + CONST64(0x8000800080800000), CONST64(0x8000808080800000), CONST64(0x8000800080800080), CONST64(0x8000808080800080), + CONST64(0x8000000080808000), CONST64(0x8000008080808000), CONST64(0x8000000080808080), CONST64(0x8000008080808080), + CONST64(0x8000800080808000), CONST64(0x8000808080808000), CONST64(0x8000800080808080), CONST64(0x8000808080808080), + CONST64(0x8080000080800000), CONST64(0x8080008080800000), CONST64(0x8080000080800080), CONST64(0x8080008080800080), + CONST64(0x8080800080800000), CONST64(0x8080808080800000), CONST64(0x8080800080800080), CONST64(0x8080808080800080), + CONST64(0x8080000080808000), CONST64(0x8080008080808000), CONST64(0x8080000080808080), CONST64(0x8080008080808080), CONST64(0x8080800080808000), CONST64(0x8080808080808000), CONST64(0x8080800080808080), CONST64(0x8080808080808080) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000004000000000), CONST64(0x0000000000000040), CONST64(0x0000004000000040), - CONST64(0x0000400000000000), CONST64(0x0000404000000000), CONST64(0x0000400000000040), CONST64(0x0000404000000040), - CONST64(0x0000000000004000), CONST64(0x0000004000004000), CONST64(0x0000000000004040), CONST64(0x0000004000004040), - CONST64(0x0000400000004000), CONST64(0x0000404000004000), CONST64(0x0000400000004040), CONST64(0x0000404000004040), - CONST64(0x0040000000000000), CONST64(0x0040004000000000), CONST64(0x0040000000000040), CONST64(0x0040004000000040), - CONST64(0x0040400000000000), CONST64(0x0040404000000000), CONST64(0x0040400000000040), CONST64(0x0040404000000040), - CONST64(0x0040000000004000), CONST64(0x0040004000004000), CONST64(0x0040000000004040), CONST64(0x0040004000004040), - CONST64(0x0040400000004000), CONST64(0x0040404000004000), CONST64(0x0040400000004040), CONST64(0x0040404000004040), - CONST64(0x0000000000400000), CONST64(0x0000004000400000), CONST64(0x0000000000400040), CONST64(0x0000004000400040), - CONST64(0x0000400000400000), CONST64(0x0000404000400000), CONST64(0x0000400000400040), CONST64(0x0000404000400040), - CONST64(0x0000000000404000), CONST64(0x0000004000404000), CONST64(0x0000000000404040), CONST64(0x0000004000404040), - CONST64(0x0000400000404000), CONST64(0x0000404000404000), CONST64(0x0000400000404040), CONST64(0x0000404000404040), - CONST64(0x0040000000400000), CONST64(0x0040004000400000), CONST64(0x0040000000400040), CONST64(0x0040004000400040), - CONST64(0x0040400000400000), CONST64(0x0040404000400000), CONST64(0x0040400000400040), CONST64(0x0040404000400040), - CONST64(0x0040000000404000), CONST64(0x0040004000404000), CONST64(0x0040000000404040), CONST64(0x0040004000404040), - CONST64(0x0040400000404000), CONST64(0x0040404000404000), CONST64(0x0040400000404040), CONST64(0x0040404000404040), - CONST64(0x4000000000000000), CONST64(0x4000004000000000), CONST64(0x4000000000000040), CONST64(0x4000004000000040), - CONST64(0x4000400000000000), CONST64(0x4000404000000000), CONST64(0x4000400000000040), CONST64(0x4000404000000040), - CONST64(0x4000000000004000), CONST64(0x4000004000004000), CONST64(0x4000000000004040), CONST64(0x4000004000004040), - CONST64(0x4000400000004000), CONST64(0x4000404000004000), CONST64(0x4000400000004040), CONST64(0x4000404000004040), - CONST64(0x4040000000000000), CONST64(0x4040004000000000), CONST64(0x4040000000000040), CONST64(0x4040004000000040), - CONST64(0x4040400000000000), CONST64(0x4040404000000000), CONST64(0x4040400000000040), CONST64(0x4040404000000040), - CONST64(0x4040000000004000), CONST64(0x4040004000004000), CONST64(0x4040000000004040), CONST64(0x4040004000004040), - CONST64(0x4040400000004000), CONST64(0x4040404000004000), CONST64(0x4040400000004040), CONST64(0x4040404000004040), - CONST64(0x4000000000400000), CONST64(0x4000004000400000), CONST64(0x4000000000400040), CONST64(0x4000004000400040), - CONST64(0x4000400000400000), CONST64(0x4000404000400000), CONST64(0x4000400000400040), CONST64(0x4000404000400040), - CONST64(0x4000000000404000), CONST64(0x4000004000404000), CONST64(0x4000000000404040), CONST64(0x4000004000404040), - CONST64(0x4000400000404000), CONST64(0x4000404000404000), CONST64(0x4000400000404040), CONST64(0x4000404000404040), - CONST64(0x4040000000400000), CONST64(0x4040004000400000), CONST64(0x4040000000400040), CONST64(0x4040004000400040), - CONST64(0x4040400000400000), CONST64(0x4040404000400000), CONST64(0x4040400000400040), CONST64(0x4040404000400040), - CONST64(0x4040000000404000), CONST64(0x4040004000404000), CONST64(0x4040000000404040), CONST64(0x4040004000404040), - CONST64(0x4040400000404000), CONST64(0x4040404000404000), CONST64(0x4040400000404040), CONST64(0x4040404000404040), - CONST64(0x0000000040000000), CONST64(0x0000004040000000), CONST64(0x0000000040000040), CONST64(0x0000004040000040), - CONST64(0x0000400040000000), CONST64(0x0000404040000000), CONST64(0x0000400040000040), CONST64(0x0000404040000040), - CONST64(0x0000000040004000), CONST64(0x0000004040004000), CONST64(0x0000000040004040), CONST64(0x0000004040004040), - CONST64(0x0000400040004000), CONST64(0x0000404040004000), CONST64(0x0000400040004040), CONST64(0x0000404040004040), - CONST64(0x0040000040000000), CONST64(0x0040004040000000), CONST64(0x0040000040000040), CONST64(0x0040004040000040), - CONST64(0x0040400040000000), CONST64(0x0040404040000000), CONST64(0x0040400040000040), CONST64(0x0040404040000040), - CONST64(0x0040000040004000), CONST64(0x0040004040004000), CONST64(0x0040000040004040), CONST64(0x0040004040004040), - CONST64(0x0040400040004000), CONST64(0x0040404040004000), CONST64(0x0040400040004040), CONST64(0x0040404040004040), - CONST64(0x0000000040400000), CONST64(0x0000004040400000), CONST64(0x0000000040400040), CONST64(0x0000004040400040), - CONST64(0x0000400040400000), CONST64(0x0000404040400000), CONST64(0x0000400040400040), CONST64(0x0000404040400040), - CONST64(0x0000000040404000), CONST64(0x0000004040404000), CONST64(0x0000000040404040), CONST64(0x0000004040404040), - CONST64(0x0000400040404000), CONST64(0x0000404040404000), CONST64(0x0000400040404040), CONST64(0x0000404040404040), - CONST64(0x0040000040400000), CONST64(0x0040004040400000), CONST64(0x0040000040400040), CONST64(0x0040004040400040), - CONST64(0x0040400040400000), CONST64(0x0040404040400000), CONST64(0x0040400040400040), CONST64(0x0040404040400040), - CONST64(0x0040000040404000), CONST64(0x0040004040404000), CONST64(0x0040000040404040), CONST64(0x0040004040404040), - CONST64(0x0040400040404000), CONST64(0x0040404040404000), CONST64(0x0040400040404040), CONST64(0x0040404040404040), - CONST64(0x4000000040000000), CONST64(0x4000004040000000), CONST64(0x4000000040000040), CONST64(0x4000004040000040), - CONST64(0x4000400040000000), CONST64(0x4000404040000000), CONST64(0x4000400040000040), CONST64(0x4000404040000040), - CONST64(0x4000000040004000), CONST64(0x4000004040004000), CONST64(0x4000000040004040), CONST64(0x4000004040004040), - CONST64(0x4000400040004000), CONST64(0x4000404040004000), CONST64(0x4000400040004040), CONST64(0x4000404040004040), - CONST64(0x4040000040000000), CONST64(0x4040004040000000), CONST64(0x4040000040000040), CONST64(0x4040004040000040), - CONST64(0x4040400040000000), CONST64(0x4040404040000000), CONST64(0x4040400040000040), CONST64(0x4040404040000040), - CONST64(0x4040000040004000), CONST64(0x4040004040004000), CONST64(0x4040000040004040), CONST64(0x4040004040004040), - CONST64(0x4040400040004000), CONST64(0x4040404040004000), CONST64(0x4040400040004040), CONST64(0x4040404040004040), - CONST64(0x4000000040400000), CONST64(0x4000004040400000), CONST64(0x4000000040400040), CONST64(0x4000004040400040), - CONST64(0x4000400040400000), CONST64(0x4000404040400000), CONST64(0x4000400040400040), CONST64(0x4000404040400040), - CONST64(0x4000000040404000), CONST64(0x4000004040404000), CONST64(0x4000000040404040), CONST64(0x4000004040404040), - CONST64(0x4000400040404000), CONST64(0x4000404040404000), CONST64(0x4000400040404040), CONST64(0x4000404040404040), - CONST64(0x4040000040400000), CONST64(0x4040004040400000), CONST64(0x4040000040400040), CONST64(0x4040004040400040), - CONST64(0x4040400040400000), CONST64(0x4040404040400000), CONST64(0x4040400040400040), CONST64(0x4040404040400040), - CONST64(0x4040000040404000), CONST64(0x4040004040404000), CONST64(0x4040000040404040), CONST64(0x4040004040404040), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000004000000000), CONST64(0x0000000000000040), CONST64(0x0000004000000040), + CONST64(0x0000400000000000), CONST64(0x0000404000000000), CONST64(0x0000400000000040), CONST64(0x0000404000000040), + CONST64(0x0000000000004000), CONST64(0x0000004000004000), CONST64(0x0000000000004040), CONST64(0x0000004000004040), + CONST64(0x0000400000004000), CONST64(0x0000404000004000), CONST64(0x0000400000004040), CONST64(0x0000404000004040), + CONST64(0x0040000000000000), CONST64(0x0040004000000000), CONST64(0x0040000000000040), CONST64(0x0040004000000040), + CONST64(0x0040400000000000), CONST64(0x0040404000000000), CONST64(0x0040400000000040), CONST64(0x0040404000000040), + CONST64(0x0040000000004000), CONST64(0x0040004000004000), CONST64(0x0040000000004040), CONST64(0x0040004000004040), + CONST64(0x0040400000004000), CONST64(0x0040404000004000), CONST64(0x0040400000004040), CONST64(0x0040404000004040), + CONST64(0x0000000000400000), CONST64(0x0000004000400000), CONST64(0x0000000000400040), CONST64(0x0000004000400040), + CONST64(0x0000400000400000), CONST64(0x0000404000400000), CONST64(0x0000400000400040), CONST64(0x0000404000400040), + CONST64(0x0000000000404000), CONST64(0x0000004000404000), CONST64(0x0000000000404040), CONST64(0x0000004000404040), + CONST64(0x0000400000404000), CONST64(0x0000404000404000), CONST64(0x0000400000404040), CONST64(0x0000404000404040), + CONST64(0x0040000000400000), CONST64(0x0040004000400000), CONST64(0x0040000000400040), CONST64(0x0040004000400040), + CONST64(0x0040400000400000), CONST64(0x0040404000400000), CONST64(0x0040400000400040), CONST64(0x0040404000400040), + CONST64(0x0040000000404000), CONST64(0x0040004000404000), CONST64(0x0040000000404040), CONST64(0x0040004000404040), + CONST64(0x0040400000404000), CONST64(0x0040404000404000), CONST64(0x0040400000404040), CONST64(0x0040404000404040), + CONST64(0x4000000000000000), CONST64(0x4000004000000000), CONST64(0x4000000000000040), CONST64(0x4000004000000040), + CONST64(0x4000400000000000), CONST64(0x4000404000000000), CONST64(0x4000400000000040), CONST64(0x4000404000000040), + CONST64(0x4000000000004000), CONST64(0x4000004000004000), CONST64(0x4000000000004040), CONST64(0x4000004000004040), + CONST64(0x4000400000004000), CONST64(0x4000404000004000), CONST64(0x4000400000004040), CONST64(0x4000404000004040), + CONST64(0x4040000000000000), CONST64(0x4040004000000000), CONST64(0x4040000000000040), CONST64(0x4040004000000040), + CONST64(0x4040400000000000), CONST64(0x4040404000000000), CONST64(0x4040400000000040), CONST64(0x4040404000000040), + CONST64(0x4040000000004000), CONST64(0x4040004000004000), CONST64(0x4040000000004040), CONST64(0x4040004000004040), + CONST64(0x4040400000004000), CONST64(0x4040404000004000), CONST64(0x4040400000004040), CONST64(0x4040404000004040), + CONST64(0x4000000000400000), CONST64(0x4000004000400000), CONST64(0x4000000000400040), CONST64(0x4000004000400040), + CONST64(0x4000400000400000), CONST64(0x4000404000400000), CONST64(0x4000400000400040), CONST64(0x4000404000400040), + CONST64(0x4000000000404000), CONST64(0x4000004000404000), CONST64(0x4000000000404040), CONST64(0x4000004000404040), + CONST64(0x4000400000404000), CONST64(0x4000404000404000), CONST64(0x4000400000404040), CONST64(0x4000404000404040), + CONST64(0x4040000000400000), CONST64(0x4040004000400000), CONST64(0x4040000000400040), CONST64(0x4040004000400040), + CONST64(0x4040400000400000), CONST64(0x4040404000400000), CONST64(0x4040400000400040), CONST64(0x4040404000400040), + CONST64(0x4040000000404000), CONST64(0x4040004000404000), CONST64(0x4040000000404040), CONST64(0x4040004000404040), + CONST64(0x4040400000404000), CONST64(0x4040404000404000), CONST64(0x4040400000404040), CONST64(0x4040404000404040), + CONST64(0x0000000040000000), CONST64(0x0000004040000000), CONST64(0x0000000040000040), CONST64(0x0000004040000040), + CONST64(0x0000400040000000), CONST64(0x0000404040000000), CONST64(0x0000400040000040), CONST64(0x0000404040000040), + CONST64(0x0000000040004000), CONST64(0x0000004040004000), CONST64(0x0000000040004040), CONST64(0x0000004040004040), + CONST64(0x0000400040004000), CONST64(0x0000404040004000), CONST64(0x0000400040004040), CONST64(0x0000404040004040), + CONST64(0x0040000040000000), CONST64(0x0040004040000000), CONST64(0x0040000040000040), CONST64(0x0040004040000040), + CONST64(0x0040400040000000), CONST64(0x0040404040000000), CONST64(0x0040400040000040), CONST64(0x0040404040000040), + CONST64(0x0040000040004000), CONST64(0x0040004040004000), CONST64(0x0040000040004040), CONST64(0x0040004040004040), + CONST64(0x0040400040004000), CONST64(0x0040404040004000), CONST64(0x0040400040004040), CONST64(0x0040404040004040), + CONST64(0x0000000040400000), CONST64(0x0000004040400000), CONST64(0x0000000040400040), CONST64(0x0000004040400040), + CONST64(0x0000400040400000), CONST64(0x0000404040400000), CONST64(0x0000400040400040), CONST64(0x0000404040400040), + CONST64(0x0000000040404000), CONST64(0x0000004040404000), CONST64(0x0000000040404040), CONST64(0x0000004040404040), + CONST64(0x0000400040404000), CONST64(0x0000404040404000), CONST64(0x0000400040404040), CONST64(0x0000404040404040), + CONST64(0x0040000040400000), CONST64(0x0040004040400000), CONST64(0x0040000040400040), CONST64(0x0040004040400040), + CONST64(0x0040400040400000), CONST64(0x0040404040400000), CONST64(0x0040400040400040), CONST64(0x0040404040400040), + CONST64(0x0040000040404000), CONST64(0x0040004040404000), CONST64(0x0040000040404040), CONST64(0x0040004040404040), + CONST64(0x0040400040404000), CONST64(0x0040404040404000), CONST64(0x0040400040404040), CONST64(0x0040404040404040), + CONST64(0x4000000040000000), CONST64(0x4000004040000000), CONST64(0x4000000040000040), CONST64(0x4000004040000040), + CONST64(0x4000400040000000), CONST64(0x4000404040000000), CONST64(0x4000400040000040), CONST64(0x4000404040000040), + CONST64(0x4000000040004000), CONST64(0x4000004040004000), CONST64(0x4000000040004040), CONST64(0x4000004040004040), + CONST64(0x4000400040004000), CONST64(0x4000404040004000), CONST64(0x4000400040004040), CONST64(0x4000404040004040), + CONST64(0x4040000040000000), CONST64(0x4040004040000000), CONST64(0x4040000040000040), CONST64(0x4040004040000040), + CONST64(0x4040400040000000), CONST64(0x4040404040000000), CONST64(0x4040400040000040), CONST64(0x4040404040000040), + CONST64(0x4040000040004000), CONST64(0x4040004040004000), CONST64(0x4040000040004040), CONST64(0x4040004040004040), + CONST64(0x4040400040004000), CONST64(0x4040404040004000), CONST64(0x4040400040004040), CONST64(0x4040404040004040), + CONST64(0x4000000040400000), CONST64(0x4000004040400000), CONST64(0x4000000040400040), CONST64(0x4000004040400040), + CONST64(0x4000400040400000), CONST64(0x4000404040400000), CONST64(0x4000400040400040), CONST64(0x4000404040400040), + CONST64(0x4000000040404000), CONST64(0x4000004040404000), CONST64(0x4000000040404040), CONST64(0x4000004040404040), + CONST64(0x4000400040404000), CONST64(0x4000404040404000), CONST64(0x4000400040404040), CONST64(0x4000404040404040), + CONST64(0x4040000040400000), CONST64(0x4040004040400000), CONST64(0x4040000040400040), CONST64(0x4040004040400040), + CONST64(0x4040400040400000), CONST64(0x4040404040400000), CONST64(0x4040400040400040), CONST64(0x4040404040400040), + CONST64(0x4040000040404000), CONST64(0x4040004040404000), CONST64(0x4040000040404040), CONST64(0x4040004040404040), CONST64(0x4040400040404000), CONST64(0x4040404040404000), CONST64(0x4040400040404040), CONST64(0x4040404040404040) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000002000000000), CONST64(0x0000000000000020), CONST64(0x0000002000000020), - CONST64(0x0000200000000000), CONST64(0x0000202000000000), CONST64(0x0000200000000020), CONST64(0x0000202000000020), - CONST64(0x0000000000002000), CONST64(0x0000002000002000), CONST64(0x0000000000002020), CONST64(0x0000002000002020), - CONST64(0x0000200000002000), CONST64(0x0000202000002000), CONST64(0x0000200000002020), CONST64(0x0000202000002020), - CONST64(0x0020000000000000), CONST64(0x0020002000000000), CONST64(0x0020000000000020), CONST64(0x0020002000000020), - CONST64(0x0020200000000000), CONST64(0x0020202000000000), CONST64(0x0020200000000020), CONST64(0x0020202000000020), - CONST64(0x0020000000002000), CONST64(0x0020002000002000), CONST64(0x0020000000002020), CONST64(0x0020002000002020), - CONST64(0x0020200000002000), CONST64(0x0020202000002000), CONST64(0x0020200000002020), CONST64(0x0020202000002020), - CONST64(0x0000000000200000), CONST64(0x0000002000200000), CONST64(0x0000000000200020), CONST64(0x0000002000200020), - CONST64(0x0000200000200000), CONST64(0x0000202000200000), CONST64(0x0000200000200020), CONST64(0x0000202000200020), - CONST64(0x0000000000202000), CONST64(0x0000002000202000), CONST64(0x0000000000202020), CONST64(0x0000002000202020), - CONST64(0x0000200000202000), CONST64(0x0000202000202000), CONST64(0x0000200000202020), CONST64(0x0000202000202020), - CONST64(0x0020000000200000), CONST64(0x0020002000200000), CONST64(0x0020000000200020), CONST64(0x0020002000200020), - CONST64(0x0020200000200000), CONST64(0x0020202000200000), CONST64(0x0020200000200020), CONST64(0x0020202000200020), - CONST64(0x0020000000202000), CONST64(0x0020002000202000), CONST64(0x0020000000202020), CONST64(0x0020002000202020), - CONST64(0x0020200000202000), CONST64(0x0020202000202000), CONST64(0x0020200000202020), CONST64(0x0020202000202020), - CONST64(0x2000000000000000), CONST64(0x2000002000000000), CONST64(0x2000000000000020), CONST64(0x2000002000000020), - CONST64(0x2000200000000000), CONST64(0x2000202000000000), CONST64(0x2000200000000020), CONST64(0x2000202000000020), - CONST64(0x2000000000002000), CONST64(0x2000002000002000), CONST64(0x2000000000002020), CONST64(0x2000002000002020), - CONST64(0x2000200000002000), CONST64(0x2000202000002000), CONST64(0x2000200000002020), CONST64(0x2000202000002020), - CONST64(0x2020000000000000), CONST64(0x2020002000000000), CONST64(0x2020000000000020), CONST64(0x2020002000000020), - CONST64(0x2020200000000000), CONST64(0x2020202000000000), CONST64(0x2020200000000020), CONST64(0x2020202000000020), - CONST64(0x2020000000002000), CONST64(0x2020002000002000), CONST64(0x2020000000002020), CONST64(0x2020002000002020), - CONST64(0x2020200000002000), CONST64(0x2020202000002000), CONST64(0x2020200000002020), CONST64(0x2020202000002020), - CONST64(0x2000000000200000), CONST64(0x2000002000200000), CONST64(0x2000000000200020), CONST64(0x2000002000200020), - CONST64(0x2000200000200000), CONST64(0x2000202000200000), CONST64(0x2000200000200020), CONST64(0x2000202000200020), - CONST64(0x2000000000202000), CONST64(0x2000002000202000), CONST64(0x2000000000202020), CONST64(0x2000002000202020), - CONST64(0x2000200000202000), CONST64(0x2000202000202000), CONST64(0x2000200000202020), CONST64(0x2000202000202020), - CONST64(0x2020000000200000), CONST64(0x2020002000200000), CONST64(0x2020000000200020), CONST64(0x2020002000200020), - CONST64(0x2020200000200000), CONST64(0x2020202000200000), CONST64(0x2020200000200020), CONST64(0x2020202000200020), - CONST64(0x2020000000202000), CONST64(0x2020002000202000), CONST64(0x2020000000202020), CONST64(0x2020002000202020), - CONST64(0x2020200000202000), CONST64(0x2020202000202000), CONST64(0x2020200000202020), CONST64(0x2020202000202020), - CONST64(0x0000000020000000), CONST64(0x0000002020000000), CONST64(0x0000000020000020), CONST64(0x0000002020000020), - CONST64(0x0000200020000000), CONST64(0x0000202020000000), CONST64(0x0000200020000020), CONST64(0x0000202020000020), - CONST64(0x0000000020002000), CONST64(0x0000002020002000), CONST64(0x0000000020002020), CONST64(0x0000002020002020), - CONST64(0x0000200020002000), CONST64(0x0000202020002000), CONST64(0x0000200020002020), CONST64(0x0000202020002020), - CONST64(0x0020000020000000), CONST64(0x0020002020000000), CONST64(0x0020000020000020), CONST64(0x0020002020000020), - CONST64(0x0020200020000000), CONST64(0x0020202020000000), CONST64(0x0020200020000020), CONST64(0x0020202020000020), - CONST64(0x0020000020002000), CONST64(0x0020002020002000), CONST64(0x0020000020002020), CONST64(0x0020002020002020), - CONST64(0x0020200020002000), CONST64(0x0020202020002000), CONST64(0x0020200020002020), CONST64(0x0020202020002020), - CONST64(0x0000000020200000), CONST64(0x0000002020200000), CONST64(0x0000000020200020), CONST64(0x0000002020200020), - CONST64(0x0000200020200000), CONST64(0x0000202020200000), CONST64(0x0000200020200020), CONST64(0x0000202020200020), - CONST64(0x0000000020202000), CONST64(0x0000002020202000), CONST64(0x0000000020202020), CONST64(0x0000002020202020), - CONST64(0x0000200020202000), CONST64(0x0000202020202000), CONST64(0x0000200020202020), CONST64(0x0000202020202020), - CONST64(0x0020000020200000), CONST64(0x0020002020200000), CONST64(0x0020000020200020), CONST64(0x0020002020200020), - CONST64(0x0020200020200000), CONST64(0x0020202020200000), CONST64(0x0020200020200020), CONST64(0x0020202020200020), - CONST64(0x0020000020202000), CONST64(0x0020002020202000), CONST64(0x0020000020202020), CONST64(0x0020002020202020), - CONST64(0x0020200020202000), CONST64(0x0020202020202000), CONST64(0x0020200020202020), CONST64(0x0020202020202020), - CONST64(0x2000000020000000), CONST64(0x2000002020000000), CONST64(0x2000000020000020), CONST64(0x2000002020000020), - CONST64(0x2000200020000000), CONST64(0x2000202020000000), CONST64(0x2000200020000020), CONST64(0x2000202020000020), - CONST64(0x2000000020002000), CONST64(0x2000002020002000), CONST64(0x2000000020002020), CONST64(0x2000002020002020), - CONST64(0x2000200020002000), CONST64(0x2000202020002000), CONST64(0x2000200020002020), CONST64(0x2000202020002020), - CONST64(0x2020000020000000), CONST64(0x2020002020000000), CONST64(0x2020000020000020), CONST64(0x2020002020000020), - CONST64(0x2020200020000000), CONST64(0x2020202020000000), CONST64(0x2020200020000020), CONST64(0x2020202020000020), - CONST64(0x2020000020002000), CONST64(0x2020002020002000), CONST64(0x2020000020002020), CONST64(0x2020002020002020), - CONST64(0x2020200020002000), CONST64(0x2020202020002000), CONST64(0x2020200020002020), CONST64(0x2020202020002020), - CONST64(0x2000000020200000), CONST64(0x2000002020200000), CONST64(0x2000000020200020), CONST64(0x2000002020200020), - CONST64(0x2000200020200000), CONST64(0x2000202020200000), CONST64(0x2000200020200020), CONST64(0x2000202020200020), - CONST64(0x2000000020202000), CONST64(0x2000002020202000), CONST64(0x2000000020202020), CONST64(0x2000002020202020), - CONST64(0x2000200020202000), CONST64(0x2000202020202000), CONST64(0x2000200020202020), CONST64(0x2000202020202020), - CONST64(0x2020000020200000), CONST64(0x2020002020200000), CONST64(0x2020000020200020), CONST64(0x2020002020200020), - CONST64(0x2020200020200000), CONST64(0x2020202020200000), CONST64(0x2020200020200020), CONST64(0x2020202020200020), - CONST64(0x2020000020202000), CONST64(0x2020002020202000), CONST64(0x2020000020202020), CONST64(0x2020002020202020), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000002000000000), CONST64(0x0000000000000020), CONST64(0x0000002000000020), + CONST64(0x0000200000000000), CONST64(0x0000202000000000), CONST64(0x0000200000000020), CONST64(0x0000202000000020), + CONST64(0x0000000000002000), CONST64(0x0000002000002000), CONST64(0x0000000000002020), CONST64(0x0000002000002020), + CONST64(0x0000200000002000), CONST64(0x0000202000002000), CONST64(0x0000200000002020), CONST64(0x0000202000002020), + CONST64(0x0020000000000000), CONST64(0x0020002000000000), CONST64(0x0020000000000020), CONST64(0x0020002000000020), + CONST64(0x0020200000000000), CONST64(0x0020202000000000), CONST64(0x0020200000000020), CONST64(0x0020202000000020), + CONST64(0x0020000000002000), CONST64(0x0020002000002000), CONST64(0x0020000000002020), CONST64(0x0020002000002020), + CONST64(0x0020200000002000), CONST64(0x0020202000002000), CONST64(0x0020200000002020), CONST64(0x0020202000002020), + CONST64(0x0000000000200000), CONST64(0x0000002000200000), CONST64(0x0000000000200020), CONST64(0x0000002000200020), + CONST64(0x0000200000200000), CONST64(0x0000202000200000), CONST64(0x0000200000200020), CONST64(0x0000202000200020), + CONST64(0x0000000000202000), CONST64(0x0000002000202000), CONST64(0x0000000000202020), CONST64(0x0000002000202020), + CONST64(0x0000200000202000), CONST64(0x0000202000202000), CONST64(0x0000200000202020), CONST64(0x0000202000202020), + CONST64(0x0020000000200000), CONST64(0x0020002000200000), CONST64(0x0020000000200020), CONST64(0x0020002000200020), + CONST64(0x0020200000200000), CONST64(0x0020202000200000), CONST64(0x0020200000200020), CONST64(0x0020202000200020), + CONST64(0x0020000000202000), CONST64(0x0020002000202000), CONST64(0x0020000000202020), CONST64(0x0020002000202020), + CONST64(0x0020200000202000), CONST64(0x0020202000202000), CONST64(0x0020200000202020), CONST64(0x0020202000202020), + CONST64(0x2000000000000000), CONST64(0x2000002000000000), CONST64(0x2000000000000020), CONST64(0x2000002000000020), + CONST64(0x2000200000000000), CONST64(0x2000202000000000), CONST64(0x2000200000000020), CONST64(0x2000202000000020), + CONST64(0x2000000000002000), CONST64(0x2000002000002000), CONST64(0x2000000000002020), CONST64(0x2000002000002020), + CONST64(0x2000200000002000), CONST64(0x2000202000002000), CONST64(0x2000200000002020), CONST64(0x2000202000002020), + CONST64(0x2020000000000000), CONST64(0x2020002000000000), CONST64(0x2020000000000020), CONST64(0x2020002000000020), + CONST64(0x2020200000000000), CONST64(0x2020202000000000), CONST64(0x2020200000000020), CONST64(0x2020202000000020), + CONST64(0x2020000000002000), CONST64(0x2020002000002000), CONST64(0x2020000000002020), CONST64(0x2020002000002020), + CONST64(0x2020200000002000), CONST64(0x2020202000002000), CONST64(0x2020200000002020), CONST64(0x2020202000002020), + CONST64(0x2000000000200000), CONST64(0x2000002000200000), CONST64(0x2000000000200020), CONST64(0x2000002000200020), + CONST64(0x2000200000200000), CONST64(0x2000202000200000), CONST64(0x2000200000200020), CONST64(0x2000202000200020), + CONST64(0x2000000000202000), CONST64(0x2000002000202000), CONST64(0x2000000000202020), CONST64(0x2000002000202020), + CONST64(0x2000200000202000), CONST64(0x2000202000202000), CONST64(0x2000200000202020), CONST64(0x2000202000202020), + CONST64(0x2020000000200000), CONST64(0x2020002000200000), CONST64(0x2020000000200020), CONST64(0x2020002000200020), + CONST64(0x2020200000200000), CONST64(0x2020202000200000), CONST64(0x2020200000200020), CONST64(0x2020202000200020), + CONST64(0x2020000000202000), CONST64(0x2020002000202000), CONST64(0x2020000000202020), CONST64(0x2020002000202020), + CONST64(0x2020200000202000), CONST64(0x2020202000202000), CONST64(0x2020200000202020), CONST64(0x2020202000202020), + CONST64(0x0000000020000000), CONST64(0x0000002020000000), CONST64(0x0000000020000020), CONST64(0x0000002020000020), + CONST64(0x0000200020000000), CONST64(0x0000202020000000), CONST64(0x0000200020000020), CONST64(0x0000202020000020), + CONST64(0x0000000020002000), CONST64(0x0000002020002000), CONST64(0x0000000020002020), CONST64(0x0000002020002020), + CONST64(0x0000200020002000), CONST64(0x0000202020002000), CONST64(0x0000200020002020), CONST64(0x0000202020002020), + CONST64(0x0020000020000000), CONST64(0x0020002020000000), CONST64(0x0020000020000020), CONST64(0x0020002020000020), + CONST64(0x0020200020000000), CONST64(0x0020202020000000), CONST64(0x0020200020000020), CONST64(0x0020202020000020), + CONST64(0x0020000020002000), CONST64(0x0020002020002000), CONST64(0x0020000020002020), CONST64(0x0020002020002020), + CONST64(0x0020200020002000), CONST64(0x0020202020002000), CONST64(0x0020200020002020), CONST64(0x0020202020002020), + CONST64(0x0000000020200000), CONST64(0x0000002020200000), CONST64(0x0000000020200020), CONST64(0x0000002020200020), + CONST64(0x0000200020200000), CONST64(0x0000202020200000), CONST64(0x0000200020200020), CONST64(0x0000202020200020), + CONST64(0x0000000020202000), CONST64(0x0000002020202000), CONST64(0x0000000020202020), CONST64(0x0000002020202020), + CONST64(0x0000200020202000), CONST64(0x0000202020202000), CONST64(0x0000200020202020), CONST64(0x0000202020202020), + CONST64(0x0020000020200000), CONST64(0x0020002020200000), CONST64(0x0020000020200020), CONST64(0x0020002020200020), + CONST64(0x0020200020200000), CONST64(0x0020202020200000), CONST64(0x0020200020200020), CONST64(0x0020202020200020), + CONST64(0x0020000020202000), CONST64(0x0020002020202000), CONST64(0x0020000020202020), CONST64(0x0020002020202020), + CONST64(0x0020200020202000), CONST64(0x0020202020202000), CONST64(0x0020200020202020), CONST64(0x0020202020202020), + CONST64(0x2000000020000000), CONST64(0x2000002020000000), CONST64(0x2000000020000020), CONST64(0x2000002020000020), + CONST64(0x2000200020000000), CONST64(0x2000202020000000), CONST64(0x2000200020000020), CONST64(0x2000202020000020), + CONST64(0x2000000020002000), CONST64(0x2000002020002000), CONST64(0x2000000020002020), CONST64(0x2000002020002020), + CONST64(0x2000200020002000), CONST64(0x2000202020002000), CONST64(0x2000200020002020), CONST64(0x2000202020002020), + CONST64(0x2020000020000000), CONST64(0x2020002020000000), CONST64(0x2020000020000020), CONST64(0x2020002020000020), + CONST64(0x2020200020000000), CONST64(0x2020202020000000), CONST64(0x2020200020000020), CONST64(0x2020202020000020), + CONST64(0x2020000020002000), CONST64(0x2020002020002000), CONST64(0x2020000020002020), CONST64(0x2020002020002020), + CONST64(0x2020200020002000), CONST64(0x2020202020002000), CONST64(0x2020200020002020), CONST64(0x2020202020002020), + CONST64(0x2000000020200000), CONST64(0x2000002020200000), CONST64(0x2000000020200020), CONST64(0x2000002020200020), + CONST64(0x2000200020200000), CONST64(0x2000202020200000), CONST64(0x2000200020200020), CONST64(0x2000202020200020), + CONST64(0x2000000020202000), CONST64(0x2000002020202000), CONST64(0x2000000020202020), CONST64(0x2000002020202020), + CONST64(0x2000200020202000), CONST64(0x2000202020202000), CONST64(0x2000200020202020), CONST64(0x2000202020202020), + CONST64(0x2020000020200000), CONST64(0x2020002020200000), CONST64(0x2020000020200020), CONST64(0x2020002020200020), + CONST64(0x2020200020200000), CONST64(0x2020202020200000), CONST64(0x2020200020200020), CONST64(0x2020202020200020), + CONST64(0x2020000020202000), CONST64(0x2020002020202000), CONST64(0x2020000020202020), CONST64(0x2020002020202020), CONST64(0x2020200020202000), CONST64(0x2020202020202000), CONST64(0x2020200020202020), CONST64(0x2020202020202020) }}; - + static const ulong64 des_fp[8][256] = { -{ CONST64(0x0000000000000000), CONST64(0x0000008000000000), CONST64(0x0000000002000000), CONST64(0x0000008002000000), - CONST64(0x0000000000020000), CONST64(0x0000008000020000), CONST64(0x0000000002020000), CONST64(0x0000008002020000), - CONST64(0x0000000000000200), CONST64(0x0000008000000200), CONST64(0x0000000002000200), CONST64(0x0000008002000200), - CONST64(0x0000000000020200), CONST64(0x0000008000020200), CONST64(0x0000000002020200), CONST64(0x0000008002020200), - CONST64(0x0000000000000002), CONST64(0x0000008000000002), CONST64(0x0000000002000002), CONST64(0x0000008002000002), - CONST64(0x0000000000020002), CONST64(0x0000008000020002), CONST64(0x0000000002020002), CONST64(0x0000008002020002), - CONST64(0x0000000000000202), CONST64(0x0000008000000202), CONST64(0x0000000002000202), CONST64(0x0000008002000202), - CONST64(0x0000000000020202), CONST64(0x0000008000020202), CONST64(0x0000000002020202), CONST64(0x0000008002020202), - CONST64(0x0200000000000000), CONST64(0x0200008000000000), CONST64(0x0200000002000000), CONST64(0x0200008002000000), - CONST64(0x0200000000020000), CONST64(0x0200008000020000), CONST64(0x0200000002020000), CONST64(0x0200008002020000), - CONST64(0x0200000000000200), CONST64(0x0200008000000200), CONST64(0x0200000002000200), CONST64(0x0200008002000200), - CONST64(0x0200000000020200), CONST64(0x0200008000020200), CONST64(0x0200000002020200), CONST64(0x0200008002020200), - CONST64(0x0200000000000002), CONST64(0x0200008000000002), CONST64(0x0200000002000002), CONST64(0x0200008002000002), - CONST64(0x0200000000020002), CONST64(0x0200008000020002), CONST64(0x0200000002020002), CONST64(0x0200008002020002), - CONST64(0x0200000000000202), CONST64(0x0200008000000202), CONST64(0x0200000002000202), CONST64(0x0200008002000202), - CONST64(0x0200000000020202), CONST64(0x0200008000020202), CONST64(0x0200000002020202), CONST64(0x0200008002020202), - CONST64(0x0002000000000000), CONST64(0x0002008000000000), CONST64(0x0002000002000000), CONST64(0x0002008002000000), - CONST64(0x0002000000020000), CONST64(0x0002008000020000), CONST64(0x0002000002020000), CONST64(0x0002008002020000), - CONST64(0x0002000000000200), CONST64(0x0002008000000200), CONST64(0x0002000002000200), CONST64(0x0002008002000200), - CONST64(0x0002000000020200), CONST64(0x0002008000020200), CONST64(0x0002000002020200), CONST64(0x0002008002020200), - CONST64(0x0002000000000002), CONST64(0x0002008000000002), CONST64(0x0002000002000002), CONST64(0x0002008002000002), - CONST64(0x0002000000020002), CONST64(0x0002008000020002), CONST64(0x0002000002020002), CONST64(0x0002008002020002), - CONST64(0x0002000000000202), CONST64(0x0002008000000202), CONST64(0x0002000002000202), CONST64(0x0002008002000202), - CONST64(0x0002000000020202), CONST64(0x0002008000020202), CONST64(0x0002000002020202), CONST64(0x0002008002020202), - CONST64(0x0202000000000000), CONST64(0x0202008000000000), CONST64(0x0202000002000000), CONST64(0x0202008002000000), - CONST64(0x0202000000020000), CONST64(0x0202008000020000), CONST64(0x0202000002020000), CONST64(0x0202008002020000), - CONST64(0x0202000000000200), CONST64(0x0202008000000200), CONST64(0x0202000002000200), CONST64(0x0202008002000200), - CONST64(0x0202000000020200), CONST64(0x0202008000020200), CONST64(0x0202000002020200), CONST64(0x0202008002020200), - CONST64(0x0202000000000002), CONST64(0x0202008000000002), CONST64(0x0202000002000002), CONST64(0x0202008002000002), - CONST64(0x0202000000020002), CONST64(0x0202008000020002), CONST64(0x0202000002020002), CONST64(0x0202008002020002), - CONST64(0x0202000000000202), CONST64(0x0202008000000202), CONST64(0x0202000002000202), CONST64(0x0202008002000202), - CONST64(0x0202000000020202), CONST64(0x0202008000020202), CONST64(0x0202000002020202), CONST64(0x0202008002020202), - CONST64(0x0000020000000000), CONST64(0x0000028000000000), CONST64(0x0000020002000000), CONST64(0x0000028002000000), - CONST64(0x0000020000020000), CONST64(0x0000028000020000), CONST64(0x0000020002020000), CONST64(0x0000028002020000), - CONST64(0x0000020000000200), CONST64(0x0000028000000200), CONST64(0x0000020002000200), CONST64(0x0000028002000200), - CONST64(0x0000020000020200), CONST64(0x0000028000020200), CONST64(0x0000020002020200), CONST64(0x0000028002020200), - CONST64(0x0000020000000002), CONST64(0x0000028000000002), CONST64(0x0000020002000002), CONST64(0x0000028002000002), - CONST64(0x0000020000020002), CONST64(0x0000028000020002), CONST64(0x0000020002020002), CONST64(0x0000028002020002), - CONST64(0x0000020000000202), CONST64(0x0000028000000202), CONST64(0x0000020002000202), CONST64(0x0000028002000202), - CONST64(0x0000020000020202), CONST64(0x0000028000020202), CONST64(0x0000020002020202), CONST64(0x0000028002020202), - CONST64(0x0200020000000000), CONST64(0x0200028000000000), CONST64(0x0200020002000000), CONST64(0x0200028002000000), - CONST64(0x0200020000020000), CONST64(0x0200028000020000), CONST64(0x0200020002020000), CONST64(0x0200028002020000), - CONST64(0x0200020000000200), CONST64(0x0200028000000200), CONST64(0x0200020002000200), CONST64(0x0200028002000200), - CONST64(0x0200020000020200), CONST64(0x0200028000020200), CONST64(0x0200020002020200), CONST64(0x0200028002020200), - CONST64(0x0200020000000002), CONST64(0x0200028000000002), CONST64(0x0200020002000002), CONST64(0x0200028002000002), - CONST64(0x0200020000020002), CONST64(0x0200028000020002), CONST64(0x0200020002020002), CONST64(0x0200028002020002), - CONST64(0x0200020000000202), CONST64(0x0200028000000202), CONST64(0x0200020002000202), CONST64(0x0200028002000202), - CONST64(0x0200020000020202), CONST64(0x0200028000020202), CONST64(0x0200020002020202), CONST64(0x0200028002020202), - CONST64(0x0002020000000000), CONST64(0x0002028000000000), CONST64(0x0002020002000000), CONST64(0x0002028002000000), - CONST64(0x0002020000020000), CONST64(0x0002028000020000), CONST64(0x0002020002020000), CONST64(0x0002028002020000), - CONST64(0x0002020000000200), CONST64(0x0002028000000200), CONST64(0x0002020002000200), CONST64(0x0002028002000200), - CONST64(0x0002020000020200), CONST64(0x0002028000020200), CONST64(0x0002020002020200), CONST64(0x0002028002020200), - CONST64(0x0002020000000002), CONST64(0x0002028000000002), CONST64(0x0002020002000002), CONST64(0x0002028002000002), - CONST64(0x0002020000020002), CONST64(0x0002028000020002), CONST64(0x0002020002020002), CONST64(0x0002028002020002), - CONST64(0x0002020000000202), CONST64(0x0002028000000202), CONST64(0x0002020002000202), CONST64(0x0002028002000202), - CONST64(0x0002020000020202), CONST64(0x0002028000020202), CONST64(0x0002020002020202), CONST64(0x0002028002020202), - CONST64(0x0202020000000000), CONST64(0x0202028000000000), CONST64(0x0202020002000000), CONST64(0x0202028002000000), - CONST64(0x0202020000020000), CONST64(0x0202028000020000), CONST64(0x0202020002020000), CONST64(0x0202028002020000), - CONST64(0x0202020000000200), CONST64(0x0202028000000200), CONST64(0x0202020002000200), CONST64(0x0202028002000200), - CONST64(0x0202020000020200), CONST64(0x0202028000020200), CONST64(0x0202020002020200), CONST64(0x0202028002020200), - CONST64(0x0202020000000002), CONST64(0x0202028000000002), CONST64(0x0202020002000002), CONST64(0x0202028002000002), - CONST64(0x0202020000020002), CONST64(0x0202028000020002), CONST64(0x0202020002020002), CONST64(0x0202028002020002), - CONST64(0x0202020000000202), CONST64(0x0202028000000202), CONST64(0x0202020002000202), CONST64(0x0202028002000202), +{ CONST64(0x0000000000000000), CONST64(0x0000008000000000), CONST64(0x0000000002000000), CONST64(0x0000008002000000), + CONST64(0x0000000000020000), CONST64(0x0000008000020000), CONST64(0x0000000002020000), CONST64(0x0000008002020000), + CONST64(0x0000000000000200), CONST64(0x0000008000000200), CONST64(0x0000000002000200), CONST64(0x0000008002000200), + CONST64(0x0000000000020200), CONST64(0x0000008000020200), CONST64(0x0000000002020200), CONST64(0x0000008002020200), + CONST64(0x0000000000000002), CONST64(0x0000008000000002), CONST64(0x0000000002000002), CONST64(0x0000008002000002), + CONST64(0x0000000000020002), CONST64(0x0000008000020002), CONST64(0x0000000002020002), CONST64(0x0000008002020002), + CONST64(0x0000000000000202), CONST64(0x0000008000000202), CONST64(0x0000000002000202), CONST64(0x0000008002000202), + CONST64(0x0000000000020202), CONST64(0x0000008000020202), CONST64(0x0000000002020202), CONST64(0x0000008002020202), + CONST64(0x0200000000000000), CONST64(0x0200008000000000), CONST64(0x0200000002000000), CONST64(0x0200008002000000), + CONST64(0x0200000000020000), CONST64(0x0200008000020000), CONST64(0x0200000002020000), CONST64(0x0200008002020000), + CONST64(0x0200000000000200), CONST64(0x0200008000000200), CONST64(0x0200000002000200), CONST64(0x0200008002000200), + CONST64(0x0200000000020200), CONST64(0x0200008000020200), CONST64(0x0200000002020200), CONST64(0x0200008002020200), + CONST64(0x0200000000000002), CONST64(0x0200008000000002), CONST64(0x0200000002000002), CONST64(0x0200008002000002), + CONST64(0x0200000000020002), CONST64(0x0200008000020002), CONST64(0x0200000002020002), CONST64(0x0200008002020002), + CONST64(0x0200000000000202), CONST64(0x0200008000000202), CONST64(0x0200000002000202), CONST64(0x0200008002000202), + CONST64(0x0200000000020202), CONST64(0x0200008000020202), CONST64(0x0200000002020202), CONST64(0x0200008002020202), + CONST64(0x0002000000000000), CONST64(0x0002008000000000), CONST64(0x0002000002000000), CONST64(0x0002008002000000), + CONST64(0x0002000000020000), CONST64(0x0002008000020000), CONST64(0x0002000002020000), CONST64(0x0002008002020000), + CONST64(0x0002000000000200), CONST64(0x0002008000000200), CONST64(0x0002000002000200), CONST64(0x0002008002000200), + CONST64(0x0002000000020200), CONST64(0x0002008000020200), CONST64(0x0002000002020200), CONST64(0x0002008002020200), + CONST64(0x0002000000000002), CONST64(0x0002008000000002), CONST64(0x0002000002000002), CONST64(0x0002008002000002), + CONST64(0x0002000000020002), CONST64(0x0002008000020002), CONST64(0x0002000002020002), CONST64(0x0002008002020002), + CONST64(0x0002000000000202), CONST64(0x0002008000000202), CONST64(0x0002000002000202), CONST64(0x0002008002000202), + CONST64(0x0002000000020202), CONST64(0x0002008000020202), CONST64(0x0002000002020202), CONST64(0x0002008002020202), + CONST64(0x0202000000000000), CONST64(0x0202008000000000), CONST64(0x0202000002000000), CONST64(0x0202008002000000), + CONST64(0x0202000000020000), CONST64(0x0202008000020000), CONST64(0x0202000002020000), CONST64(0x0202008002020000), + CONST64(0x0202000000000200), CONST64(0x0202008000000200), CONST64(0x0202000002000200), CONST64(0x0202008002000200), + CONST64(0x0202000000020200), CONST64(0x0202008000020200), CONST64(0x0202000002020200), CONST64(0x0202008002020200), + CONST64(0x0202000000000002), CONST64(0x0202008000000002), CONST64(0x0202000002000002), CONST64(0x0202008002000002), + CONST64(0x0202000000020002), CONST64(0x0202008000020002), CONST64(0x0202000002020002), CONST64(0x0202008002020002), + CONST64(0x0202000000000202), CONST64(0x0202008000000202), CONST64(0x0202000002000202), CONST64(0x0202008002000202), + CONST64(0x0202000000020202), CONST64(0x0202008000020202), CONST64(0x0202000002020202), CONST64(0x0202008002020202), + CONST64(0x0000020000000000), CONST64(0x0000028000000000), CONST64(0x0000020002000000), CONST64(0x0000028002000000), + CONST64(0x0000020000020000), CONST64(0x0000028000020000), CONST64(0x0000020002020000), CONST64(0x0000028002020000), + CONST64(0x0000020000000200), CONST64(0x0000028000000200), CONST64(0x0000020002000200), CONST64(0x0000028002000200), + CONST64(0x0000020000020200), CONST64(0x0000028000020200), CONST64(0x0000020002020200), CONST64(0x0000028002020200), + CONST64(0x0000020000000002), CONST64(0x0000028000000002), CONST64(0x0000020002000002), CONST64(0x0000028002000002), + CONST64(0x0000020000020002), CONST64(0x0000028000020002), CONST64(0x0000020002020002), CONST64(0x0000028002020002), + CONST64(0x0000020000000202), CONST64(0x0000028000000202), CONST64(0x0000020002000202), CONST64(0x0000028002000202), + CONST64(0x0000020000020202), CONST64(0x0000028000020202), CONST64(0x0000020002020202), CONST64(0x0000028002020202), + CONST64(0x0200020000000000), CONST64(0x0200028000000000), CONST64(0x0200020002000000), CONST64(0x0200028002000000), + CONST64(0x0200020000020000), CONST64(0x0200028000020000), CONST64(0x0200020002020000), CONST64(0x0200028002020000), + CONST64(0x0200020000000200), CONST64(0x0200028000000200), CONST64(0x0200020002000200), CONST64(0x0200028002000200), + CONST64(0x0200020000020200), CONST64(0x0200028000020200), CONST64(0x0200020002020200), CONST64(0x0200028002020200), + CONST64(0x0200020000000002), CONST64(0x0200028000000002), CONST64(0x0200020002000002), CONST64(0x0200028002000002), + CONST64(0x0200020000020002), CONST64(0x0200028000020002), CONST64(0x0200020002020002), CONST64(0x0200028002020002), + CONST64(0x0200020000000202), CONST64(0x0200028000000202), CONST64(0x0200020002000202), CONST64(0x0200028002000202), + CONST64(0x0200020000020202), CONST64(0x0200028000020202), CONST64(0x0200020002020202), CONST64(0x0200028002020202), + CONST64(0x0002020000000000), CONST64(0x0002028000000000), CONST64(0x0002020002000000), CONST64(0x0002028002000000), + CONST64(0x0002020000020000), CONST64(0x0002028000020000), CONST64(0x0002020002020000), CONST64(0x0002028002020000), + CONST64(0x0002020000000200), CONST64(0x0002028000000200), CONST64(0x0002020002000200), CONST64(0x0002028002000200), + CONST64(0x0002020000020200), CONST64(0x0002028000020200), CONST64(0x0002020002020200), CONST64(0x0002028002020200), + CONST64(0x0002020000000002), CONST64(0x0002028000000002), CONST64(0x0002020002000002), CONST64(0x0002028002000002), + CONST64(0x0002020000020002), CONST64(0x0002028000020002), CONST64(0x0002020002020002), CONST64(0x0002028002020002), + CONST64(0x0002020000000202), CONST64(0x0002028000000202), CONST64(0x0002020002000202), CONST64(0x0002028002000202), + CONST64(0x0002020000020202), CONST64(0x0002028000020202), CONST64(0x0002020002020202), CONST64(0x0002028002020202), + CONST64(0x0202020000000000), CONST64(0x0202028000000000), CONST64(0x0202020002000000), CONST64(0x0202028002000000), + CONST64(0x0202020000020000), CONST64(0x0202028000020000), CONST64(0x0202020002020000), CONST64(0x0202028002020000), + CONST64(0x0202020000000200), CONST64(0x0202028000000200), CONST64(0x0202020002000200), CONST64(0x0202028002000200), + CONST64(0x0202020000020200), CONST64(0x0202028000020200), CONST64(0x0202020002020200), CONST64(0x0202028002020200), + CONST64(0x0202020000000002), CONST64(0x0202028000000002), CONST64(0x0202020002000002), CONST64(0x0202028002000002), + CONST64(0x0202020000020002), CONST64(0x0202028000020002), CONST64(0x0202020002020002), CONST64(0x0202028002020002), + CONST64(0x0202020000000202), CONST64(0x0202028000000202), CONST64(0x0202020002000202), CONST64(0x0202028002000202), CONST64(0x0202020000020202), CONST64(0x0202028000020202), CONST64(0x0202020002020202), CONST64(0x0202028002020202) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000000200000000), CONST64(0x0000000008000000), CONST64(0x0000000208000000), - CONST64(0x0000000000080000), CONST64(0x0000000200080000), CONST64(0x0000000008080000), CONST64(0x0000000208080000), - CONST64(0x0000000000000800), CONST64(0x0000000200000800), CONST64(0x0000000008000800), CONST64(0x0000000208000800), - CONST64(0x0000000000080800), CONST64(0x0000000200080800), CONST64(0x0000000008080800), CONST64(0x0000000208080800), - CONST64(0x0000000000000008), CONST64(0x0000000200000008), CONST64(0x0000000008000008), CONST64(0x0000000208000008), - CONST64(0x0000000000080008), CONST64(0x0000000200080008), CONST64(0x0000000008080008), CONST64(0x0000000208080008), - CONST64(0x0000000000000808), CONST64(0x0000000200000808), CONST64(0x0000000008000808), CONST64(0x0000000208000808), - CONST64(0x0000000000080808), CONST64(0x0000000200080808), CONST64(0x0000000008080808), CONST64(0x0000000208080808), - CONST64(0x0800000000000000), CONST64(0x0800000200000000), CONST64(0x0800000008000000), CONST64(0x0800000208000000), - CONST64(0x0800000000080000), CONST64(0x0800000200080000), CONST64(0x0800000008080000), CONST64(0x0800000208080000), - CONST64(0x0800000000000800), CONST64(0x0800000200000800), CONST64(0x0800000008000800), CONST64(0x0800000208000800), - CONST64(0x0800000000080800), CONST64(0x0800000200080800), CONST64(0x0800000008080800), CONST64(0x0800000208080800), - CONST64(0x0800000000000008), CONST64(0x0800000200000008), CONST64(0x0800000008000008), CONST64(0x0800000208000008), - CONST64(0x0800000000080008), CONST64(0x0800000200080008), CONST64(0x0800000008080008), CONST64(0x0800000208080008), - CONST64(0x0800000000000808), CONST64(0x0800000200000808), CONST64(0x0800000008000808), CONST64(0x0800000208000808), - CONST64(0x0800000000080808), CONST64(0x0800000200080808), CONST64(0x0800000008080808), CONST64(0x0800000208080808), - CONST64(0x0008000000000000), CONST64(0x0008000200000000), CONST64(0x0008000008000000), CONST64(0x0008000208000000), - CONST64(0x0008000000080000), CONST64(0x0008000200080000), CONST64(0x0008000008080000), CONST64(0x0008000208080000), - CONST64(0x0008000000000800), CONST64(0x0008000200000800), CONST64(0x0008000008000800), CONST64(0x0008000208000800), - CONST64(0x0008000000080800), CONST64(0x0008000200080800), CONST64(0x0008000008080800), CONST64(0x0008000208080800), - CONST64(0x0008000000000008), CONST64(0x0008000200000008), CONST64(0x0008000008000008), CONST64(0x0008000208000008), - CONST64(0x0008000000080008), CONST64(0x0008000200080008), CONST64(0x0008000008080008), CONST64(0x0008000208080008), - CONST64(0x0008000000000808), CONST64(0x0008000200000808), CONST64(0x0008000008000808), CONST64(0x0008000208000808), - CONST64(0x0008000000080808), CONST64(0x0008000200080808), CONST64(0x0008000008080808), CONST64(0x0008000208080808), - CONST64(0x0808000000000000), CONST64(0x0808000200000000), CONST64(0x0808000008000000), CONST64(0x0808000208000000), - CONST64(0x0808000000080000), CONST64(0x0808000200080000), CONST64(0x0808000008080000), CONST64(0x0808000208080000), - CONST64(0x0808000000000800), CONST64(0x0808000200000800), CONST64(0x0808000008000800), CONST64(0x0808000208000800), - CONST64(0x0808000000080800), CONST64(0x0808000200080800), CONST64(0x0808000008080800), CONST64(0x0808000208080800), - CONST64(0x0808000000000008), CONST64(0x0808000200000008), CONST64(0x0808000008000008), CONST64(0x0808000208000008), - CONST64(0x0808000000080008), CONST64(0x0808000200080008), CONST64(0x0808000008080008), CONST64(0x0808000208080008), - CONST64(0x0808000000000808), CONST64(0x0808000200000808), CONST64(0x0808000008000808), CONST64(0x0808000208000808), - CONST64(0x0808000000080808), CONST64(0x0808000200080808), CONST64(0x0808000008080808), CONST64(0x0808000208080808), - CONST64(0x0000080000000000), CONST64(0x0000080200000000), CONST64(0x0000080008000000), CONST64(0x0000080208000000), - CONST64(0x0000080000080000), CONST64(0x0000080200080000), CONST64(0x0000080008080000), CONST64(0x0000080208080000), - CONST64(0x0000080000000800), CONST64(0x0000080200000800), CONST64(0x0000080008000800), CONST64(0x0000080208000800), - CONST64(0x0000080000080800), CONST64(0x0000080200080800), CONST64(0x0000080008080800), CONST64(0x0000080208080800), - CONST64(0x0000080000000008), CONST64(0x0000080200000008), CONST64(0x0000080008000008), CONST64(0x0000080208000008), - CONST64(0x0000080000080008), CONST64(0x0000080200080008), CONST64(0x0000080008080008), CONST64(0x0000080208080008), - CONST64(0x0000080000000808), CONST64(0x0000080200000808), CONST64(0x0000080008000808), CONST64(0x0000080208000808), - CONST64(0x0000080000080808), CONST64(0x0000080200080808), CONST64(0x0000080008080808), CONST64(0x0000080208080808), - CONST64(0x0800080000000000), CONST64(0x0800080200000000), CONST64(0x0800080008000000), CONST64(0x0800080208000000), - CONST64(0x0800080000080000), CONST64(0x0800080200080000), CONST64(0x0800080008080000), CONST64(0x0800080208080000), - CONST64(0x0800080000000800), CONST64(0x0800080200000800), CONST64(0x0800080008000800), CONST64(0x0800080208000800), - CONST64(0x0800080000080800), CONST64(0x0800080200080800), CONST64(0x0800080008080800), CONST64(0x0800080208080800), - CONST64(0x0800080000000008), CONST64(0x0800080200000008), CONST64(0x0800080008000008), CONST64(0x0800080208000008), - CONST64(0x0800080000080008), CONST64(0x0800080200080008), CONST64(0x0800080008080008), CONST64(0x0800080208080008), - CONST64(0x0800080000000808), CONST64(0x0800080200000808), CONST64(0x0800080008000808), CONST64(0x0800080208000808), - CONST64(0x0800080000080808), CONST64(0x0800080200080808), CONST64(0x0800080008080808), CONST64(0x0800080208080808), - CONST64(0x0008080000000000), CONST64(0x0008080200000000), CONST64(0x0008080008000000), CONST64(0x0008080208000000), - CONST64(0x0008080000080000), CONST64(0x0008080200080000), CONST64(0x0008080008080000), CONST64(0x0008080208080000), - CONST64(0x0008080000000800), CONST64(0x0008080200000800), CONST64(0x0008080008000800), CONST64(0x0008080208000800), - CONST64(0x0008080000080800), CONST64(0x0008080200080800), CONST64(0x0008080008080800), CONST64(0x0008080208080800), - CONST64(0x0008080000000008), CONST64(0x0008080200000008), CONST64(0x0008080008000008), CONST64(0x0008080208000008), - CONST64(0x0008080000080008), CONST64(0x0008080200080008), CONST64(0x0008080008080008), CONST64(0x0008080208080008), - CONST64(0x0008080000000808), CONST64(0x0008080200000808), CONST64(0x0008080008000808), CONST64(0x0008080208000808), - CONST64(0x0008080000080808), CONST64(0x0008080200080808), CONST64(0x0008080008080808), CONST64(0x0008080208080808), - CONST64(0x0808080000000000), CONST64(0x0808080200000000), CONST64(0x0808080008000000), CONST64(0x0808080208000000), - CONST64(0x0808080000080000), CONST64(0x0808080200080000), CONST64(0x0808080008080000), CONST64(0x0808080208080000), - CONST64(0x0808080000000800), CONST64(0x0808080200000800), CONST64(0x0808080008000800), CONST64(0x0808080208000800), - CONST64(0x0808080000080800), CONST64(0x0808080200080800), CONST64(0x0808080008080800), CONST64(0x0808080208080800), - CONST64(0x0808080000000008), CONST64(0x0808080200000008), CONST64(0x0808080008000008), CONST64(0x0808080208000008), - CONST64(0x0808080000080008), CONST64(0x0808080200080008), CONST64(0x0808080008080008), CONST64(0x0808080208080008), - CONST64(0x0808080000000808), CONST64(0x0808080200000808), CONST64(0x0808080008000808), CONST64(0x0808080208000808), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000000200000000), CONST64(0x0000000008000000), CONST64(0x0000000208000000), + CONST64(0x0000000000080000), CONST64(0x0000000200080000), CONST64(0x0000000008080000), CONST64(0x0000000208080000), + CONST64(0x0000000000000800), CONST64(0x0000000200000800), CONST64(0x0000000008000800), CONST64(0x0000000208000800), + CONST64(0x0000000000080800), CONST64(0x0000000200080800), CONST64(0x0000000008080800), CONST64(0x0000000208080800), + CONST64(0x0000000000000008), CONST64(0x0000000200000008), CONST64(0x0000000008000008), CONST64(0x0000000208000008), + CONST64(0x0000000000080008), CONST64(0x0000000200080008), CONST64(0x0000000008080008), CONST64(0x0000000208080008), + CONST64(0x0000000000000808), CONST64(0x0000000200000808), CONST64(0x0000000008000808), CONST64(0x0000000208000808), + CONST64(0x0000000000080808), CONST64(0x0000000200080808), CONST64(0x0000000008080808), CONST64(0x0000000208080808), + CONST64(0x0800000000000000), CONST64(0x0800000200000000), CONST64(0x0800000008000000), CONST64(0x0800000208000000), + CONST64(0x0800000000080000), CONST64(0x0800000200080000), CONST64(0x0800000008080000), CONST64(0x0800000208080000), + CONST64(0x0800000000000800), CONST64(0x0800000200000800), CONST64(0x0800000008000800), CONST64(0x0800000208000800), + CONST64(0x0800000000080800), CONST64(0x0800000200080800), CONST64(0x0800000008080800), CONST64(0x0800000208080800), + CONST64(0x0800000000000008), CONST64(0x0800000200000008), CONST64(0x0800000008000008), CONST64(0x0800000208000008), + CONST64(0x0800000000080008), CONST64(0x0800000200080008), CONST64(0x0800000008080008), CONST64(0x0800000208080008), + CONST64(0x0800000000000808), CONST64(0x0800000200000808), CONST64(0x0800000008000808), CONST64(0x0800000208000808), + CONST64(0x0800000000080808), CONST64(0x0800000200080808), CONST64(0x0800000008080808), CONST64(0x0800000208080808), + CONST64(0x0008000000000000), CONST64(0x0008000200000000), CONST64(0x0008000008000000), CONST64(0x0008000208000000), + CONST64(0x0008000000080000), CONST64(0x0008000200080000), CONST64(0x0008000008080000), CONST64(0x0008000208080000), + CONST64(0x0008000000000800), CONST64(0x0008000200000800), CONST64(0x0008000008000800), CONST64(0x0008000208000800), + CONST64(0x0008000000080800), CONST64(0x0008000200080800), CONST64(0x0008000008080800), CONST64(0x0008000208080800), + CONST64(0x0008000000000008), CONST64(0x0008000200000008), CONST64(0x0008000008000008), CONST64(0x0008000208000008), + CONST64(0x0008000000080008), CONST64(0x0008000200080008), CONST64(0x0008000008080008), CONST64(0x0008000208080008), + CONST64(0x0008000000000808), CONST64(0x0008000200000808), CONST64(0x0008000008000808), CONST64(0x0008000208000808), + CONST64(0x0008000000080808), CONST64(0x0008000200080808), CONST64(0x0008000008080808), CONST64(0x0008000208080808), + CONST64(0x0808000000000000), CONST64(0x0808000200000000), CONST64(0x0808000008000000), CONST64(0x0808000208000000), + CONST64(0x0808000000080000), CONST64(0x0808000200080000), CONST64(0x0808000008080000), CONST64(0x0808000208080000), + CONST64(0x0808000000000800), CONST64(0x0808000200000800), CONST64(0x0808000008000800), CONST64(0x0808000208000800), + CONST64(0x0808000000080800), CONST64(0x0808000200080800), CONST64(0x0808000008080800), CONST64(0x0808000208080800), + CONST64(0x0808000000000008), CONST64(0x0808000200000008), CONST64(0x0808000008000008), CONST64(0x0808000208000008), + CONST64(0x0808000000080008), CONST64(0x0808000200080008), CONST64(0x0808000008080008), CONST64(0x0808000208080008), + CONST64(0x0808000000000808), CONST64(0x0808000200000808), CONST64(0x0808000008000808), CONST64(0x0808000208000808), + CONST64(0x0808000000080808), CONST64(0x0808000200080808), CONST64(0x0808000008080808), CONST64(0x0808000208080808), + CONST64(0x0000080000000000), CONST64(0x0000080200000000), CONST64(0x0000080008000000), CONST64(0x0000080208000000), + CONST64(0x0000080000080000), CONST64(0x0000080200080000), CONST64(0x0000080008080000), CONST64(0x0000080208080000), + CONST64(0x0000080000000800), CONST64(0x0000080200000800), CONST64(0x0000080008000800), CONST64(0x0000080208000800), + CONST64(0x0000080000080800), CONST64(0x0000080200080800), CONST64(0x0000080008080800), CONST64(0x0000080208080800), + CONST64(0x0000080000000008), CONST64(0x0000080200000008), CONST64(0x0000080008000008), CONST64(0x0000080208000008), + CONST64(0x0000080000080008), CONST64(0x0000080200080008), CONST64(0x0000080008080008), CONST64(0x0000080208080008), + CONST64(0x0000080000000808), CONST64(0x0000080200000808), CONST64(0x0000080008000808), CONST64(0x0000080208000808), + CONST64(0x0000080000080808), CONST64(0x0000080200080808), CONST64(0x0000080008080808), CONST64(0x0000080208080808), + CONST64(0x0800080000000000), CONST64(0x0800080200000000), CONST64(0x0800080008000000), CONST64(0x0800080208000000), + CONST64(0x0800080000080000), CONST64(0x0800080200080000), CONST64(0x0800080008080000), CONST64(0x0800080208080000), + CONST64(0x0800080000000800), CONST64(0x0800080200000800), CONST64(0x0800080008000800), CONST64(0x0800080208000800), + CONST64(0x0800080000080800), CONST64(0x0800080200080800), CONST64(0x0800080008080800), CONST64(0x0800080208080800), + CONST64(0x0800080000000008), CONST64(0x0800080200000008), CONST64(0x0800080008000008), CONST64(0x0800080208000008), + CONST64(0x0800080000080008), CONST64(0x0800080200080008), CONST64(0x0800080008080008), CONST64(0x0800080208080008), + CONST64(0x0800080000000808), CONST64(0x0800080200000808), CONST64(0x0800080008000808), CONST64(0x0800080208000808), + CONST64(0x0800080000080808), CONST64(0x0800080200080808), CONST64(0x0800080008080808), CONST64(0x0800080208080808), + CONST64(0x0008080000000000), CONST64(0x0008080200000000), CONST64(0x0008080008000000), CONST64(0x0008080208000000), + CONST64(0x0008080000080000), CONST64(0x0008080200080000), CONST64(0x0008080008080000), CONST64(0x0008080208080000), + CONST64(0x0008080000000800), CONST64(0x0008080200000800), CONST64(0x0008080008000800), CONST64(0x0008080208000800), + CONST64(0x0008080000080800), CONST64(0x0008080200080800), CONST64(0x0008080008080800), CONST64(0x0008080208080800), + CONST64(0x0008080000000008), CONST64(0x0008080200000008), CONST64(0x0008080008000008), CONST64(0x0008080208000008), + CONST64(0x0008080000080008), CONST64(0x0008080200080008), CONST64(0x0008080008080008), CONST64(0x0008080208080008), + CONST64(0x0008080000000808), CONST64(0x0008080200000808), CONST64(0x0008080008000808), CONST64(0x0008080208000808), + CONST64(0x0008080000080808), CONST64(0x0008080200080808), CONST64(0x0008080008080808), CONST64(0x0008080208080808), + CONST64(0x0808080000000000), CONST64(0x0808080200000000), CONST64(0x0808080008000000), CONST64(0x0808080208000000), + CONST64(0x0808080000080000), CONST64(0x0808080200080000), CONST64(0x0808080008080000), CONST64(0x0808080208080000), + CONST64(0x0808080000000800), CONST64(0x0808080200000800), CONST64(0x0808080008000800), CONST64(0x0808080208000800), + CONST64(0x0808080000080800), CONST64(0x0808080200080800), CONST64(0x0808080008080800), CONST64(0x0808080208080800), + CONST64(0x0808080000000008), CONST64(0x0808080200000008), CONST64(0x0808080008000008), CONST64(0x0808080208000008), + CONST64(0x0808080000080008), CONST64(0x0808080200080008), CONST64(0x0808080008080008), CONST64(0x0808080208080008), + CONST64(0x0808080000000808), CONST64(0x0808080200000808), CONST64(0x0808080008000808), CONST64(0x0808080208000808), CONST64(0x0808080000080808), CONST64(0x0808080200080808), CONST64(0x0808080008080808), CONST64(0x0808080208080808) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000000800000000), CONST64(0x0000000020000000), CONST64(0x0000000820000000), - CONST64(0x0000000000200000), CONST64(0x0000000800200000), CONST64(0x0000000020200000), CONST64(0x0000000820200000), - CONST64(0x0000000000002000), CONST64(0x0000000800002000), CONST64(0x0000000020002000), CONST64(0x0000000820002000), - CONST64(0x0000000000202000), CONST64(0x0000000800202000), CONST64(0x0000000020202000), CONST64(0x0000000820202000), - CONST64(0x0000000000000020), CONST64(0x0000000800000020), CONST64(0x0000000020000020), CONST64(0x0000000820000020), - CONST64(0x0000000000200020), CONST64(0x0000000800200020), CONST64(0x0000000020200020), CONST64(0x0000000820200020), - CONST64(0x0000000000002020), CONST64(0x0000000800002020), CONST64(0x0000000020002020), CONST64(0x0000000820002020), - CONST64(0x0000000000202020), CONST64(0x0000000800202020), CONST64(0x0000000020202020), CONST64(0x0000000820202020), - CONST64(0x2000000000000000), CONST64(0x2000000800000000), CONST64(0x2000000020000000), CONST64(0x2000000820000000), - CONST64(0x2000000000200000), CONST64(0x2000000800200000), CONST64(0x2000000020200000), CONST64(0x2000000820200000), - CONST64(0x2000000000002000), CONST64(0x2000000800002000), CONST64(0x2000000020002000), CONST64(0x2000000820002000), - CONST64(0x2000000000202000), CONST64(0x2000000800202000), CONST64(0x2000000020202000), CONST64(0x2000000820202000), - CONST64(0x2000000000000020), CONST64(0x2000000800000020), CONST64(0x2000000020000020), CONST64(0x2000000820000020), - CONST64(0x2000000000200020), CONST64(0x2000000800200020), CONST64(0x2000000020200020), CONST64(0x2000000820200020), - CONST64(0x2000000000002020), CONST64(0x2000000800002020), CONST64(0x2000000020002020), CONST64(0x2000000820002020), - CONST64(0x2000000000202020), CONST64(0x2000000800202020), CONST64(0x2000000020202020), CONST64(0x2000000820202020), - CONST64(0x0020000000000000), CONST64(0x0020000800000000), CONST64(0x0020000020000000), CONST64(0x0020000820000000), - CONST64(0x0020000000200000), CONST64(0x0020000800200000), CONST64(0x0020000020200000), CONST64(0x0020000820200000), - CONST64(0x0020000000002000), CONST64(0x0020000800002000), CONST64(0x0020000020002000), CONST64(0x0020000820002000), - CONST64(0x0020000000202000), CONST64(0x0020000800202000), CONST64(0x0020000020202000), CONST64(0x0020000820202000), - CONST64(0x0020000000000020), CONST64(0x0020000800000020), CONST64(0x0020000020000020), CONST64(0x0020000820000020), - CONST64(0x0020000000200020), CONST64(0x0020000800200020), CONST64(0x0020000020200020), CONST64(0x0020000820200020), - CONST64(0x0020000000002020), CONST64(0x0020000800002020), CONST64(0x0020000020002020), CONST64(0x0020000820002020), - CONST64(0x0020000000202020), CONST64(0x0020000800202020), CONST64(0x0020000020202020), CONST64(0x0020000820202020), - CONST64(0x2020000000000000), CONST64(0x2020000800000000), CONST64(0x2020000020000000), CONST64(0x2020000820000000), - CONST64(0x2020000000200000), CONST64(0x2020000800200000), CONST64(0x2020000020200000), CONST64(0x2020000820200000), - CONST64(0x2020000000002000), CONST64(0x2020000800002000), CONST64(0x2020000020002000), CONST64(0x2020000820002000), - CONST64(0x2020000000202000), CONST64(0x2020000800202000), CONST64(0x2020000020202000), CONST64(0x2020000820202000), - CONST64(0x2020000000000020), CONST64(0x2020000800000020), CONST64(0x2020000020000020), CONST64(0x2020000820000020), - CONST64(0x2020000000200020), CONST64(0x2020000800200020), CONST64(0x2020000020200020), CONST64(0x2020000820200020), - CONST64(0x2020000000002020), CONST64(0x2020000800002020), CONST64(0x2020000020002020), CONST64(0x2020000820002020), - CONST64(0x2020000000202020), CONST64(0x2020000800202020), CONST64(0x2020000020202020), CONST64(0x2020000820202020), - CONST64(0x0000200000000000), CONST64(0x0000200800000000), CONST64(0x0000200020000000), CONST64(0x0000200820000000), - CONST64(0x0000200000200000), CONST64(0x0000200800200000), CONST64(0x0000200020200000), CONST64(0x0000200820200000), - CONST64(0x0000200000002000), CONST64(0x0000200800002000), CONST64(0x0000200020002000), CONST64(0x0000200820002000), - CONST64(0x0000200000202000), CONST64(0x0000200800202000), CONST64(0x0000200020202000), CONST64(0x0000200820202000), - CONST64(0x0000200000000020), CONST64(0x0000200800000020), CONST64(0x0000200020000020), CONST64(0x0000200820000020), - CONST64(0x0000200000200020), CONST64(0x0000200800200020), CONST64(0x0000200020200020), CONST64(0x0000200820200020), - CONST64(0x0000200000002020), CONST64(0x0000200800002020), CONST64(0x0000200020002020), CONST64(0x0000200820002020), - CONST64(0x0000200000202020), CONST64(0x0000200800202020), CONST64(0x0000200020202020), CONST64(0x0000200820202020), - CONST64(0x2000200000000000), CONST64(0x2000200800000000), CONST64(0x2000200020000000), CONST64(0x2000200820000000), - CONST64(0x2000200000200000), CONST64(0x2000200800200000), CONST64(0x2000200020200000), CONST64(0x2000200820200000), - CONST64(0x2000200000002000), CONST64(0x2000200800002000), CONST64(0x2000200020002000), CONST64(0x2000200820002000), - CONST64(0x2000200000202000), CONST64(0x2000200800202000), CONST64(0x2000200020202000), CONST64(0x2000200820202000), - CONST64(0x2000200000000020), CONST64(0x2000200800000020), CONST64(0x2000200020000020), CONST64(0x2000200820000020), - CONST64(0x2000200000200020), CONST64(0x2000200800200020), CONST64(0x2000200020200020), CONST64(0x2000200820200020), - CONST64(0x2000200000002020), CONST64(0x2000200800002020), CONST64(0x2000200020002020), CONST64(0x2000200820002020), - CONST64(0x2000200000202020), CONST64(0x2000200800202020), CONST64(0x2000200020202020), CONST64(0x2000200820202020), - CONST64(0x0020200000000000), CONST64(0x0020200800000000), CONST64(0x0020200020000000), CONST64(0x0020200820000000), - CONST64(0x0020200000200000), CONST64(0x0020200800200000), CONST64(0x0020200020200000), CONST64(0x0020200820200000), - CONST64(0x0020200000002000), CONST64(0x0020200800002000), CONST64(0x0020200020002000), CONST64(0x0020200820002000), - CONST64(0x0020200000202000), CONST64(0x0020200800202000), CONST64(0x0020200020202000), CONST64(0x0020200820202000), - CONST64(0x0020200000000020), CONST64(0x0020200800000020), CONST64(0x0020200020000020), CONST64(0x0020200820000020), - CONST64(0x0020200000200020), CONST64(0x0020200800200020), CONST64(0x0020200020200020), CONST64(0x0020200820200020), - CONST64(0x0020200000002020), CONST64(0x0020200800002020), CONST64(0x0020200020002020), CONST64(0x0020200820002020), - CONST64(0x0020200000202020), CONST64(0x0020200800202020), CONST64(0x0020200020202020), CONST64(0x0020200820202020), - CONST64(0x2020200000000000), CONST64(0x2020200800000000), CONST64(0x2020200020000000), CONST64(0x2020200820000000), - CONST64(0x2020200000200000), CONST64(0x2020200800200000), CONST64(0x2020200020200000), CONST64(0x2020200820200000), - CONST64(0x2020200000002000), CONST64(0x2020200800002000), CONST64(0x2020200020002000), CONST64(0x2020200820002000), - CONST64(0x2020200000202000), CONST64(0x2020200800202000), CONST64(0x2020200020202000), CONST64(0x2020200820202000), - CONST64(0x2020200000000020), CONST64(0x2020200800000020), CONST64(0x2020200020000020), CONST64(0x2020200820000020), - CONST64(0x2020200000200020), CONST64(0x2020200800200020), CONST64(0x2020200020200020), CONST64(0x2020200820200020), - CONST64(0x2020200000002020), CONST64(0x2020200800002020), CONST64(0x2020200020002020), CONST64(0x2020200820002020), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000000800000000), CONST64(0x0000000020000000), CONST64(0x0000000820000000), + CONST64(0x0000000000200000), CONST64(0x0000000800200000), CONST64(0x0000000020200000), CONST64(0x0000000820200000), + CONST64(0x0000000000002000), CONST64(0x0000000800002000), CONST64(0x0000000020002000), CONST64(0x0000000820002000), + CONST64(0x0000000000202000), CONST64(0x0000000800202000), CONST64(0x0000000020202000), CONST64(0x0000000820202000), + CONST64(0x0000000000000020), CONST64(0x0000000800000020), CONST64(0x0000000020000020), CONST64(0x0000000820000020), + CONST64(0x0000000000200020), CONST64(0x0000000800200020), CONST64(0x0000000020200020), CONST64(0x0000000820200020), + CONST64(0x0000000000002020), CONST64(0x0000000800002020), CONST64(0x0000000020002020), CONST64(0x0000000820002020), + CONST64(0x0000000000202020), CONST64(0x0000000800202020), CONST64(0x0000000020202020), CONST64(0x0000000820202020), + CONST64(0x2000000000000000), CONST64(0x2000000800000000), CONST64(0x2000000020000000), CONST64(0x2000000820000000), + CONST64(0x2000000000200000), CONST64(0x2000000800200000), CONST64(0x2000000020200000), CONST64(0x2000000820200000), + CONST64(0x2000000000002000), CONST64(0x2000000800002000), CONST64(0x2000000020002000), CONST64(0x2000000820002000), + CONST64(0x2000000000202000), CONST64(0x2000000800202000), CONST64(0x2000000020202000), CONST64(0x2000000820202000), + CONST64(0x2000000000000020), CONST64(0x2000000800000020), CONST64(0x2000000020000020), CONST64(0x2000000820000020), + CONST64(0x2000000000200020), CONST64(0x2000000800200020), CONST64(0x2000000020200020), CONST64(0x2000000820200020), + CONST64(0x2000000000002020), CONST64(0x2000000800002020), CONST64(0x2000000020002020), CONST64(0x2000000820002020), + CONST64(0x2000000000202020), CONST64(0x2000000800202020), CONST64(0x2000000020202020), CONST64(0x2000000820202020), + CONST64(0x0020000000000000), CONST64(0x0020000800000000), CONST64(0x0020000020000000), CONST64(0x0020000820000000), + CONST64(0x0020000000200000), CONST64(0x0020000800200000), CONST64(0x0020000020200000), CONST64(0x0020000820200000), + CONST64(0x0020000000002000), CONST64(0x0020000800002000), CONST64(0x0020000020002000), CONST64(0x0020000820002000), + CONST64(0x0020000000202000), CONST64(0x0020000800202000), CONST64(0x0020000020202000), CONST64(0x0020000820202000), + CONST64(0x0020000000000020), CONST64(0x0020000800000020), CONST64(0x0020000020000020), CONST64(0x0020000820000020), + CONST64(0x0020000000200020), CONST64(0x0020000800200020), CONST64(0x0020000020200020), CONST64(0x0020000820200020), + CONST64(0x0020000000002020), CONST64(0x0020000800002020), CONST64(0x0020000020002020), CONST64(0x0020000820002020), + CONST64(0x0020000000202020), CONST64(0x0020000800202020), CONST64(0x0020000020202020), CONST64(0x0020000820202020), + CONST64(0x2020000000000000), CONST64(0x2020000800000000), CONST64(0x2020000020000000), CONST64(0x2020000820000000), + CONST64(0x2020000000200000), CONST64(0x2020000800200000), CONST64(0x2020000020200000), CONST64(0x2020000820200000), + CONST64(0x2020000000002000), CONST64(0x2020000800002000), CONST64(0x2020000020002000), CONST64(0x2020000820002000), + CONST64(0x2020000000202000), CONST64(0x2020000800202000), CONST64(0x2020000020202000), CONST64(0x2020000820202000), + CONST64(0x2020000000000020), CONST64(0x2020000800000020), CONST64(0x2020000020000020), CONST64(0x2020000820000020), + CONST64(0x2020000000200020), CONST64(0x2020000800200020), CONST64(0x2020000020200020), CONST64(0x2020000820200020), + CONST64(0x2020000000002020), CONST64(0x2020000800002020), CONST64(0x2020000020002020), CONST64(0x2020000820002020), + CONST64(0x2020000000202020), CONST64(0x2020000800202020), CONST64(0x2020000020202020), CONST64(0x2020000820202020), + CONST64(0x0000200000000000), CONST64(0x0000200800000000), CONST64(0x0000200020000000), CONST64(0x0000200820000000), + CONST64(0x0000200000200000), CONST64(0x0000200800200000), CONST64(0x0000200020200000), CONST64(0x0000200820200000), + CONST64(0x0000200000002000), CONST64(0x0000200800002000), CONST64(0x0000200020002000), CONST64(0x0000200820002000), + CONST64(0x0000200000202000), CONST64(0x0000200800202000), CONST64(0x0000200020202000), CONST64(0x0000200820202000), + CONST64(0x0000200000000020), CONST64(0x0000200800000020), CONST64(0x0000200020000020), CONST64(0x0000200820000020), + CONST64(0x0000200000200020), CONST64(0x0000200800200020), CONST64(0x0000200020200020), CONST64(0x0000200820200020), + CONST64(0x0000200000002020), CONST64(0x0000200800002020), CONST64(0x0000200020002020), CONST64(0x0000200820002020), + CONST64(0x0000200000202020), CONST64(0x0000200800202020), CONST64(0x0000200020202020), CONST64(0x0000200820202020), + CONST64(0x2000200000000000), CONST64(0x2000200800000000), CONST64(0x2000200020000000), CONST64(0x2000200820000000), + CONST64(0x2000200000200000), CONST64(0x2000200800200000), CONST64(0x2000200020200000), CONST64(0x2000200820200000), + CONST64(0x2000200000002000), CONST64(0x2000200800002000), CONST64(0x2000200020002000), CONST64(0x2000200820002000), + CONST64(0x2000200000202000), CONST64(0x2000200800202000), CONST64(0x2000200020202000), CONST64(0x2000200820202000), + CONST64(0x2000200000000020), CONST64(0x2000200800000020), CONST64(0x2000200020000020), CONST64(0x2000200820000020), + CONST64(0x2000200000200020), CONST64(0x2000200800200020), CONST64(0x2000200020200020), CONST64(0x2000200820200020), + CONST64(0x2000200000002020), CONST64(0x2000200800002020), CONST64(0x2000200020002020), CONST64(0x2000200820002020), + CONST64(0x2000200000202020), CONST64(0x2000200800202020), CONST64(0x2000200020202020), CONST64(0x2000200820202020), + CONST64(0x0020200000000000), CONST64(0x0020200800000000), CONST64(0x0020200020000000), CONST64(0x0020200820000000), + CONST64(0x0020200000200000), CONST64(0x0020200800200000), CONST64(0x0020200020200000), CONST64(0x0020200820200000), + CONST64(0x0020200000002000), CONST64(0x0020200800002000), CONST64(0x0020200020002000), CONST64(0x0020200820002000), + CONST64(0x0020200000202000), CONST64(0x0020200800202000), CONST64(0x0020200020202000), CONST64(0x0020200820202000), + CONST64(0x0020200000000020), CONST64(0x0020200800000020), CONST64(0x0020200020000020), CONST64(0x0020200820000020), + CONST64(0x0020200000200020), CONST64(0x0020200800200020), CONST64(0x0020200020200020), CONST64(0x0020200820200020), + CONST64(0x0020200000002020), CONST64(0x0020200800002020), CONST64(0x0020200020002020), CONST64(0x0020200820002020), + CONST64(0x0020200000202020), CONST64(0x0020200800202020), CONST64(0x0020200020202020), CONST64(0x0020200820202020), + CONST64(0x2020200000000000), CONST64(0x2020200800000000), CONST64(0x2020200020000000), CONST64(0x2020200820000000), + CONST64(0x2020200000200000), CONST64(0x2020200800200000), CONST64(0x2020200020200000), CONST64(0x2020200820200000), + CONST64(0x2020200000002000), CONST64(0x2020200800002000), CONST64(0x2020200020002000), CONST64(0x2020200820002000), + CONST64(0x2020200000202000), CONST64(0x2020200800202000), CONST64(0x2020200020202000), CONST64(0x2020200820202000), + CONST64(0x2020200000000020), CONST64(0x2020200800000020), CONST64(0x2020200020000020), CONST64(0x2020200820000020), + CONST64(0x2020200000200020), CONST64(0x2020200800200020), CONST64(0x2020200020200020), CONST64(0x2020200820200020), + CONST64(0x2020200000002020), CONST64(0x2020200800002020), CONST64(0x2020200020002020), CONST64(0x2020200820002020), CONST64(0x2020200000202020), CONST64(0x2020200800202020), CONST64(0x2020200020202020), CONST64(0x2020200820202020) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000002000000000), CONST64(0x0000000080000000), CONST64(0x0000002080000000), - CONST64(0x0000000000800000), CONST64(0x0000002000800000), CONST64(0x0000000080800000), CONST64(0x0000002080800000), - CONST64(0x0000000000008000), CONST64(0x0000002000008000), CONST64(0x0000000080008000), CONST64(0x0000002080008000), - CONST64(0x0000000000808000), CONST64(0x0000002000808000), CONST64(0x0000000080808000), CONST64(0x0000002080808000), - CONST64(0x0000000000000080), CONST64(0x0000002000000080), CONST64(0x0000000080000080), CONST64(0x0000002080000080), - CONST64(0x0000000000800080), CONST64(0x0000002000800080), CONST64(0x0000000080800080), CONST64(0x0000002080800080), - CONST64(0x0000000000008080), CONST64(0x0000002000008080), CONST64(0x0000000080008080), CONST64(0x0000002080008080), - CONST64(0x0000000000808080), CONST64(0x0000002000808080), CONST64(0x0000000080808080), CONST64(0x0000002080808080), - CONST64(0x8000000000000000), CONST64(0x8000002000000000), CONST64(0x8000000080000000), CONST64(0x8000002080000000), - CONST64(0x8000000000800000), CONST64(0x8000002000800000), CONST64(0x8000000080800000), CONST64(0x8000002080800000), - CONST64(0x8000000000008000), CONST64(0x8000002000008000), CONST64(0x8000000080008000), CONST64(0x8000002080008000), - CONST64(0x8000000000808000), CONST64(0x8000002000808000), CONST64(0x8000000080808000), CONST64(0x8000002080808000), - CONST64(0x8000000000000080), CONST64(0x8000002000000080), CONST64(0x8000000080000080), CONST64(0x8000002080000080), - CONST64(0x8000000000800080), CONST64(0x8000002000800080), CONST64(0x8000000080800080), CONST64(0x8000002080800080), - CONST64(0x8000000000008080), CONST64(0x8000002000008080), CONST64(0x8000000080008080), CONST64(0x8000002080008080), - CONST64(0x8000000000808080), CONST64(0x8000002000808080), CONST64(0x8000000080808080), CONST64(0x8000002080808080), - CONST64(0x0080000000000000), CONST64(0x0080002000000000), CONST64(0x0080000080000000), CONST64(0x0080002080000000), - CONST64(0x0080000000800000), CONST64(0x0080002000800000), CONST64(0x0080000080800000), CONST64(0x0080002080800000), - CONST64(0x0080000000008000), CONST64(0x0080002000008000), CONST64(0x0080000080008000), CONST64(0x0080002080008000), - CONST64(0x0080000000808000), CONST64(0x0080002000808000), CONST64(0x0080000080808000), CONST64(0x0080002080808000), - CONST64(0x0080000000000080), CONST64(0x0080002000000080), CONST64(0x0080000080000080), CONST64(0x0080002080000080), - CONST64(0x0080000000800080), CONST64(0x0080002000800080), CONST64(0x0080000080800080), CONST64(0x0080002080800080), - CONST64(0x0080000000008080), CONST64(0x0080002000008080), CONST64(0x0080000080008080), CONST64(0x0080002080008080), - CONST64(0x0080000000808080), CONST64(0x0080002000808080), CONST64(0x0080000080808080), CONST64(0x0080002080808080), - CONST64(0x8080000000000000), CONST64(0x8080002000000000), CONST64(0x8080000080000000), CONST64(0x8080002080000000), - CONST64(0x8080000000800000), CONST64(0x8080002000800000), CONST64(0x8080000080800000), CONST64(0x8080002080800000), - CONST64(0x8080000000008000), CONST64(0x8080002000008000), CONST64(0x8080000080008000), CONST64(0x8080002080008000), - CONST64(0x8080000000808000), CONST64(0x8080002000808000), CONST64(0x8080000080808000), CONST64(0x8080002080808000), - CONST64(0x8080000000000080), CONST64(0x8080002000000080), CONST64(0x8080000080000080), CONST64(0x8080002080000080), - CONST64(0x8080000000800080), CONST64(0x8080002000800080), CONST64(0x8080000080800080), CONST64(0x8080002080800080), - CONST64(0x8080000000008080), CONST64(0x8080002000008080), CONST64(0x8080000080008080), CONST64(0x8080002080008080), - CONST64(0x8080000000808080), CONST64(0x8080002000808080), CONST64(0x8080000080808080), CONST64(0x8080002080808080), - CONST64(0x0000800000000000), CONST64(0x0000802000000000), CONST64(0x0000800080000000), CONST64(0x0000802080000000), - CONST64(0x0000800000800000), CONST64(0x0000802000800000), CONST64(0x0000800080800000), CONST64(0x0000802080800000), - CONST64(0x0000800000008000), CONST64(0x0000802000008000), CONST64(0x0000800080008000), CONST64(0x0000802080008000), - CONST64(0x0000800000808000), CONST64(0x0000802000808000), CONST64(0x0000800080808000), CONST64(0x0000802080808000), - CONST64(0x0000800000000080), CONST64(0x0000802000000080), CONST64(0x0000800080000080), CONST64(0x0000802080000080), - CONST64(0x0000800000800080), CONST64(0x0000802000800080), CONST64(0x0000800080800080), CONST64(0x0000802080800080), - CONST64(0x0000800000008080), CONST64(0x0000802000008080), CONST64(0x0000800080008080), CONST64(0x0000802080008080), - CONST64(0x0000800000808080), CONST64(0x0000802000808080), CONST64(0x0000800080808080), CONST64(0x0000802080808080), - CONST64(0x8000800000000000), CONST64(0x8000802000000000), CONST64(0x8000800080000000), CONST64(0x8000802080000000), - CONST64(0x8000800000800000), CONST64(0x8000802000800000), CONST64(0x8000800080800000), CONST64(0x8000802080800000), - CONST64(0x8000800000008000), CONST64(0x8000802000008000), CONST64(0x8000800080008000), CONST64(0x8000802080008000), - CONST64(0x8000800000808000), CONST64(0x8000802000808000), CONST64(0x8000800080808000), CONST64(0x8000802080808000), - CONST64(0x8000800000000080), CONST64(0x8000802000000080), CONST64(0x8000800080000080), CONST64(0x8000802080000080), - CONST64(0x8000800000800080), CONST64(0x8000802000800080), CONST64(0x8000800080800080), CONST64(0x8000802080800080), - CONST64(0x8000800000008080), CONST64(0x8000802000008080), CONST64(0x8000800080008080), CONST64(0x8000802080008080), - CONST64(0x8000800000808080), CONST64(0x8000802000808080), CONST64(0x8000800080808080), CONST64(0x8000802080808080), - CONST64(0x0080800000000000), CONST64(0x0080802000000000), CONST64(0x0080800080000000), CONST64(0x0080802080000000), - CONST64(0x0080800000800000), CONST64(0x0080802000800000), CONST64(0x0080800080800000), CONST64(0x0080802080800000), - CONST64(0x0080800000008000), CONST64(0x0080802000008000), CONST64(0x0080800080008000), CONST64(0x0080802080008000), - CONST64(0x0080800000808000), CONST64(0x0080802000808000), CONST64(0x0080800080808000), CONST64(0x0080802080808000), - CONST64(0x0080800000000080), CONST64(0x0080802000000080), CONST64(0x0080800080000080), CONST64(0x0080802080000080), - CONST64(0x0080800000800080), CONST64(0x0080802000800080), CONST64(0x0080800080800080), CONST64(0x0080802080800080), - CONST64(0x0080800000008080), CONST64(0x0080802000008080), CONST64(0x0080800080008080), CONST64(0x0080802080008080), - CONST64(0x0080800000808080), CONST64(0x0080802000808080), CONST64(0x0080800080808080), CONST64(0x0080802080808080), - CONST64(0x8080800000000000), CONST64(0x8080802000000000), CONST64(0x8080800080000000), CONST64(0x8080802080000000), - CONST64(0x8080800000800000), CONST64(0x8080802000800000), CONST64(0x8080800080800000), CONST64(0x8080802080800000), - CONST64(0x8080800000008000), CONST64(0x8080802000008000), CONST64(0x8080800080008000), CONST64(0x8080802080008000), - CONST64(0x8080800000808000), CONST64(0x8080802000808000), CONST64(0x8080800080808000), CONST64(0x8080802080808000), - CONST64(0x8080800000000080), CONST64(0x8080802000000080), CONST64(0x8080800080000080), CONST64(0x8080802080000080), - CONST64(0x8080800000800080), CONST64(0x8080802000800080), CONST64(0x8080800080800080), CONST64(0x8080802080800080), - CONST64(0x8080800000008080), CONST64(0x8080802000008080), CONST64(0x8080800080008080), CONST64(0x8080802080008080), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000002000000000), CONST64(0x0000000080000000), CONST64(0x0000002080000000), + CONST64(0x0000000000800000), CONST64(0x0000002000800000), CONST64(0x0000000080800000), CONST64(0x0000002080800000), + CONST64(0x0000000000008000), CONST64(0x0000002000008000), CONST64(0x0000000080008000), CONST64(0x0000002080008000), + CONST64(0x0000000000808000), CONST64(0x0000002000808000), CONST64(0x0000000080808000), CONST64(0x0000002080808000), + CONST64(0x0000000000000080), CONST64(0x0000002000000080), CONST64(0x0000000080000080), CONST64(0x0000002080000080), + CONST64(0x0000000000800080), CONST64(0x0000002000800080), CONST64(0x0000000080800080), CONST64(0x0000002080800080), + CONST64(0x0000000000008080), CONST64(0x0000002000008080), CONST64(0x0000000080008080), CONST64(0x0000002080008080), + CONST64(0x0000000000808080), CONST64(0x0000002000808080), CONST64(0x0000000080808080), CONST64(0x0000002080808080), + CONST64(0x8000000000000000), CONST64(0x8000002000000000), CONST64(0x8000000080000000), CONST64(0x8000002080000000), + CONST64(0x8000000000800000), CONST64(0x8000002000800000), CONST64(0x8000000080800000), CONST64(0x8000002080800000), + CONST64(0x8000000000008000), CONST64(0x8000002000008000), CONST64(0x8000000080008000), CONST64(0x8000002080008000), + CONST64(0x8000000000808000), CONST64(0x8000002000808000), CONST64(0x8000000080808000), CONST64(0x8000002080808000), + CONST64(0x8000000000000080), CONST64(0x8000002000000080), CONST64(0x8000000080000080), CONST64(0x8000002080000080), + CONST64(0x8000000000800080), CONST64(0x8000002000800080), CONST64(0x8000000080800080), CONST64(0x8000002080800080), + CONST64(0x8000000000008080), CONST64(0x8000002000008080), CONST64(0x8000000080008080), CONST64(0x8000002080008080), + CONST64(0x8000000000808080), CONST64(0x8000002000808080), CONST64(0x8000000080808080), CONST64(0x8000002080808080), + CONST64(0x0080000000000000), CONST64(0x0080002000000000), CONST64(0x0080000080000000), CONST64(0x0080002080000000), + CONST64(0x0080000000800000), CONST64(0x0080002000800000), CONST64(0x0080000080800000), CONST64(0x0080002080800000), + CONST64(0x0080000000008000), CONST64(0x0080002000008000), CONST64(0x0080000080008000), CONST64(0x0080002080008000), + CONST64(0x0080000000808000), CONST64(0x0080002000808000), CONST64(0x0080000080808000), CONST64(0x0080002080808000), + CONST64(0x0080000000000080), CONST64(0x0080002000000080), CONST64(0x0080000080000080), CONST64(0x0080002080000080), + CONST64(0x0080000000800080), CONST64(0x0080002000800080), CONST64(0x0080000080800080), CONST64(0x0080002080800080), + CONST64(0x0080000000008080), CONST64(0x0080002000008080), CONST64(0x0080000080008080), CONST64(0x0080002080008080), + CONST64(0x0080000000808080), CONST64(0x0080002000808080), CONST64(0x0080000080808080), CONST64(0x0080002080808080), + CONST64(0x8080000000000000), CONST64(0x8080002000000000), CONST64(0x8080000080000000), CONST64(0x8080002080000000), + CONST64(0x8080000000800000), CONST64(0x8080002000800000), CONST64(0x8080000080800000), CONST64(0x8080002080800000), + CONST64(0x8080000000008000), CONST64(0x8080002000008000), CONST64(0x8080000080008000), CONST64(0x8080002080008000), + CONST64(0x8080000000808000), CONST64(0x8080002000808000), CONST64(0x8080000080808000), CONST64(0x8080002080808000), + CONST64(0x8080000000000080), CONST64(0x8080002000000080), CONST64(0x8080000080000080), CONST64(0x8080002080000080), + CONST64(0x8080000000800080), CONST64(0x8080002000800080), CONST64(0x8080000080800080), CONST64(0x8080002080800080), + CONST64(0x8080000000008080), CONST64(0x8080002000008080), CONST64(0x8080000080008080), CONST64(0x8080002080008080), + CONST64(0x8080000000808080), CONST64(0x8080002000808080), CONST64(0x8080000080808080), CONST64(0x8080002080808080), + CONST64(0x0000800000000000), CONST64(0x0000802000000000), CONST64(0x0000800080000000), CONST64(0x0000802080000000), + CONST64(0x0000800000800000), CONST64(0x0000802000800000), CONST64(0x0000800080800000), CONST64(0x0000802080800000), + CONST64(0x0000800000008000), CONST64(0x0000802000008000), CONST64(0x0000800080008000), CONST64(0x0000802080008000), + CONST64(0x0000800000808000), CONST64(0x0000802000808000), CONST64(0x0000800080808000), CONST64(0x0000802080808000), + CONST64(0x0000800000000080), CONST64(0x0000802000000080), CONST64(0x0000800080000080), CONST64(0x0000802080000080), + CONST64(0x0000800000800080), CONST64(0x0000802000800080), CONST64(0x0000800080800080), CONST64(0x0000802080800080), + CONST64(0x0000800000008080), CONST64(0x0000802000008080), CONST64(0x0000800080008080), CONST64(0x0000802080008080), + CONST64(0x0000800000808080), CONST64(0x0000802000808080), CONST64(0x0000800080808080), CONST64(0x0000802080808080), + CONST64(0x8000800000000000), CONST64(0x8000802000000000), CONST64(0x8000800080000000), CONST64(0x8000802080000000), + CONST64(0x8000800000800000), CONST64(0x8000802000800000), CONST64(0x8000800080800000), CONST64(0x8000802080800000), + CONST64(0x8000800000008000), CONST64(0x8000802000008000), CONST64(0x8000800080008000), CONST64(0x8000802080008000), + CONST64(0x8000800000808000), CONST64(0x8000802000808000), CONST64(0x8000800080808000), CONST64(0x8000802080808000), + CONST64(0x8000800000000080), CONST64(0x8000802000000080), CONST64(0x8000800080000080), CONST64(0x8000802080000080), + CONST64(0x8000800000800080), CONST64(0x8000802000800080), CONST64(0x8000800080800080), CONST64(0x8000802080800080), + CONST64(0x8000800000008080), CONST64(0x8000802000008080), CONST64(0x8000800080008080), CONST64(0x8000802080008080), + CONST64(0x8000800000808080), CONST64(0x8000802000808080), CONST64(0x8000800080808080), CONST64(0x8000802080808080), + CONST64(0x0080800000000000), CONST64(0x0080802000000000), CONST64(0x0080800080000000), CONST64(0x0080802080000000), + CONST64(0x0080800000800000), CONST64(0x0080802000800000), CONST64(0x0080800080800000), CONST64(0x0080802080800000), + CONST64(0x0080800000008000), CONST64(0x0080802000008000), CONST64(0x0080800080008000), CONST64(0x0080802080008000), + CONST64(0x0080800000808000), CONST64(0x0080802000808000), CONST64(0x0080800080808000), CONST64(0x0080802080808000), + CONST64(0x0080800000000080), CONST64(0x0080802000000080), CONST64(0x0080800080000080), CONST64(0x0080802080000080), + CONST64(0x0080800000800080), CONST64(0x0080802000800080), CONST64(0x0080800080800080), CONST64(0x0080802080800080), + CONST64(0x0080800000008080), CONST64(0x0080802000008080), CONST64(0x0080800080008080), CONST64(0x0080802080008080), + CONST64(0x0080800000808080), CONST64(0x0080802000808080), CONST64(0x0080800080808080), CONST64(0x0080802080808080), + CONST64(0x8080800000000000), CONST64(0x8080802000000000), CONST64(0x8080800080000000), CONST64(0x8080802080000000), + CONST64(0x8080800000800000), CONST64(0x8080802000800000), CONST64(0x8080800080800000), CONST64(0x8080802080800000), + CONST64(0x8080800000008000), CONST64(0x8080802000008000), CONST64(0x8080800080008000), CONST64(0x8080802080008000), + CONST64(0x8080800000808000), CONST64(0x8080802000808000), CONST64(0x8080800080808000), CONST64(0x8080802080808000), + CONST64(0x8080800000000080), CONST64(0x8080802000000080), CONST64(0x8080800080000080), CONST64(0x8080802080000080), + CONST64(0x8080800000800080), CONST64(0x8080802000800080), CONST64(0x8080800080800080), CONST64(0x8080802080800080), + CONST64(0x8080800000008080), CONST64(0x8080802000008080), CONST64(0x8080800080008080), CONST64(0x8080802080008080), CONST64(0x8080800000808080), CONST64(0x8080802000808080), CONST64(0x8080800080808080), CONST64(0x8080802080808080) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000004000000000), CONST64(0x0000000001000000), CONST64(0x0000004001000000), - CONST64(0x0000000000010000), CONST64(0x0000004000010000), CONST64(0x0000000001010000), CONST64(0x0000004001010000), - CONST64(0x0000000000000100), CONST64(0x0000004000000100), CONST64(0x0000000001000100), CONST64(0x0000004001000100), - CONST64(0x0000000000010100), CONST64(0x0000004000010100), CONST64(0x0000000001010100), CONST64(0x0000004001010100), - CONST64(0x0000000000000001), CONST64(0x0000004000000001), CONST64(0x0000000001000001), CONST64(0x0000004001000001), - CONST64(0x0000000000010001), CONST64(0x0000004000010001), CONST64(0x0000000001010001), CONST64(0x0000004001010001), - CONST64(0x0000000000000101), CONST64(0x0000004000000101), CONST64(0x0000000001000101), CONST64(0x0000004001000101), - CONST64(0x0000000000010101), CONST64(0x0000004000010101), CONST64(0x0000000001010101), CONST64(0x0000004001010101), - CONST64(0x0100000000000000), CONST64(0x0100004000000000), CONST64(0x0100000001000000), CONST64(0x0100004001000000), - CONST64(0x0100000000010000), CONST64(0x0100004000010000), CONST64(0x0100000001010000), CONST64(0x0100004001010000), - CONST64(0x0100000000000100), CONST64(0x0100004000000100), CONST64(0x0100000001000100), CONST64(0x0100004001000100), - CONST64(0x0100000000010100), CONST64(0x0100004000010100), CONST64(0x0100000001010100), CONST64(0x0100004001010100), - CONST64(0x0100000000000001), CONST64(0x0100004000000001), CONST64(0x0100000001000001), CONST64(0x0100004001000001), - CONST64(0x0100000000010001), CONST64(0x0100004000010001), CONST64(0x0100000001010001), CONST64(0x0100004001010001), - CONST64(0x0100000000000101), CONST64(0x0100004000000101), CONST64(0x0100000001000101), CONST64(0x0100004001000101), - CONST64(0x0100000000010101), CONST64(0x0100004000010101), CONST64(0x0100000001010101), CONST64(0x0100004001010101), - CONST64(0x0001000000000000), CONST64(0x0001004000000000), CONST64(0x0001000001000000), CONST64(0x0001004001000000), - CONST64(0x0001000000010000), CONST64(0x0001004000010000), CONST64(0x0001000001010000), CONST64(0x0001004001010000), - CONST64(0x0001000000000100), CONST64(0x0001004000000100), CONST64(0x0001000001000100), CONST64(0x0001004001000100), - CONST64(0x0001000000010100), CONST64(0x0001004000010100), CONST64(0x0001000001010100), CONST64(0x0001004001010100), - CONST64(0x0001000000000001), CONST64(0x0001004000000001), CONST64(0x0001000001000001), CONST64(0x0001004001000001), - CONST64(0x0001000000010001), CONST64(0x0001004000010001), CONST64(0x0001000001010001), CONST64(0x0001004001010001), - CONST64(0x0001000000000101), CONST64(0x0001004000000101), CONST64(0x0001000001000101), CONST64(0x0001004001000101), - CONST64(0x0001000000010101), CONST64(0x0001004000010101), CONST64(0x0001000001010101), CONST64(0x0001004001010101), - CONST64(0x0101000000000000), CONST64(0x0101004000000000), CONST64(0x0101000001000000), CONST64(0x0101004001000000), - CONST64(0x0101000000010000), CONST64(0x0101004000010000), CONST64(0x0101000001010000), CONST64(0x0101004001010000), - CONST64(0x0101000000000100), CONST64(0x0101004000000100), CONST64(0x0101000001000100), CONST64(0x0101004001000100), - CONST64(0x0101000000010100), CONST64(0x0101004000010100), CONST64(0x0101000001010100), CONST64(0x0101004001010100), - CONST64(0x0101000000000001), CONST64(0x0101004000000001), CONST64(0x0101000001000001), CONST64(0x0101004001000001), - CONST64(0x0101000000010001), CONST64(0x0101004000010001), CONST64(0x0101000001010001), CONST64(0x0101004001010001), - CONST64(0x0101000000000101), CONST64(0x0101004000000101), CONST64(0x0101000001000101), CONST64(0x0101004001000101), - CONST64(0x0101000000010101), CONST64(0x0101004000010101), CONST64(0x0101000001010101), CONST64(0x0101004001010101), - CONST64(0x0000010000000000), CONST64(0x0000014000000000), CONST64(0x0000010001000000), CONST64(0x0000014001000000), - CONST64(0x0000010000010000), CONST64(0x0000014000010000), CONST64(0x0000010001010000), CONST64(0x0000014001010000), - CONST64(0x0000010000000100), CONST64(0x0000014000000100), CONST64(0x0000010001000100), CONST64(0x0000014001000100), - CONST64(0x0000010000010100), CONST64(0x0000014000010100), CONST64(0x0000010001010100), CONST64(0x0000014001010100), - CONST64(0x0000010000000001), CONST64(0x0000014000000001), CONST64(0x0000010001000001), CONST64(0x0000014001000001), - CONST64(0x0000010000010001), CONST64(0x0000014000010001), CONST64(0x0000010001010001), CONST64(0x0000014001010001), - CONST64(0x0000010000000101), CONST64(0x0000014000000101), CONST64(0x0000010001000101), CONST64(0x0000014001000101), - CONST64(0x0000010000010101), CONST64(0x0000014000010101), CONST64(0x0000010001010101), CONST64(0x0000014001010101), - CONST64(0x0100010000000000), CONST64(0x0100014000000000), CONST64(0x0100010001000000), CONST64(0x0100014001000000), - CONST64(0x0100010000010000), CONST64(0x0100014000010000), CONST64(0x0100010001010000), CONST64(0x0100014001010000), - CONST64(0x0100010000000100), CONST64(0x0100014000000100), CONST64(0x0100010001000100), CONST64(0x0100014001000100), - CONST64(0x0100010000010100), CONST64(0x0100014000010100), CONST64(0x0100010001010100), CONST64(0x0100014001010100), - CONST64(0x0100010000000001), CONST64(0x0100014000000001), CONST64(0x0100010001000001), CONST64(0x0100014001000001), - CONST64(0x0100010000010001), CONST64(0x0100014000010001), CONST64(0x0100010001010001), CONST64(0x0100014001010001), - CONST64(0x0100010000000101), CONST64(0x0100014000000101), CONST64(0x0100010001000101), CONST64(0x0100014001000101), - CONST64(0x0100010000010101), CONST64(0x0100014000010101), CONST64(0x0100010001010101), CONST64(0x0100014001010101), - CONST64(0x0001010000000000), CONST64(0x0001014000000000), CONST64(0x0001010001000000), CONST64(0x0001014001000000), - CONST64(0x0001010000010000), CONST64(0x0001014000010000), CONST64(0x0001010001010000), CONST64(0x0001014001010000), - CONST64(0x0001010000000100), CONST64(0x0001014000000100), CONST64(0x0001010001000100), CONST64(0x0001014001000100), - CONST64(0x0001010000010100), CONST64(0x0001014000010100), CONST64(0x0001010001010100), CONST64(0x0001014001010100), - CONST64(0x0001010000000001), CONST64(0x0001014000000001), CONST64(0x0001010001000001), CONST64(0x0001014001000001), - CONST64(0x0001010000010001), CONST64(0x0001014000010001), CONST64(0x0001010001010001), CONST64(0x0001014001010001), - CONST64(0x0001010000000101), CONST64(0x0001014000000101), CONST64(0x0001010001000101), CONST64(0x0001014001000101), - CONST64(0x0001010000010101), CONST64(0x0001014000010101), CONST64(0x0001010001010101), CONST64(0x0001014001010101), - CONST64(0x0101010000000000), CONST64(0x0101014000000000), CONST64(0x0101010001000000), CONST64(0x0101014001000000), - CONST64(0x0101010000010000), CONST64(0x0101014000010000), CONST64(0x0101010001010000), CONST64(0x0101014001010000), - CONST64(0x0101010000000100), CONST64(0x0101014000000100), CONST64(0x0101010001000100), CONST64(0x0101014001000100), - CONST64(0x0101010000010100), CONST64(0x0101014000010100), CONST64(0x0101010001010100), CONST64(0x0101014001010100), - CONST64(0x0101010000000001), CONST64(0x0101014000000001), CONST64(0x0101010001000001), CONST64(0x0101014001000001), - CONST64(0x0101010000010001), CONST64(0x0101014000010001), CONST64(0x0101010001010001), CONST64(0x0101014001010001), - CONST64(0x0101010000000101), CONST64(0x0101014000000101), CONST64(0x0101010001000101), CONST64(0x0101014001000101), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000004000000000), CONST64(0x0000000001000000), CONST64(0x0000004001000000), + CONST64(0x0000000000010000), CONST64(0x0000004000010000), CONST64(0x0000000001010000), CONST64(0x0000004001010000), + CONST64(0x0000000000000100), CONST64(0x0000004000000100), CONST64(0x0000000001000100), CONST64(0x0000004001000100), + CONST64(0x0000000000010100), CONST64(0x0000004000010100), CONST64(0x0000000001010100), CONST64(0x0000004001010100), + CONST64(0x0000000000000001), CONST64(0x0000004000000001), CONST64(0x0000000001000001), CONST64(0x0000004001000001), + CONST64(0x0000000000010001), CONST64(0x0000004000010001), CONST64(0x0000000001010001), CONST64(0x0000004001010001), + CONST64(0x0000000000000101), CONST64(0x0000004000000101), CONST64(0x0000000001000101), CONST64(0x0000004001000101), + CONST64(0x0000000000010101), CONST64(0x0000004000010101), CONST64(0x0000000001010101), CONST64(0x0000004001010101), + CONST64(0x0100000000000000), CONST64(0x0100004000000000), CONST64(0x0100000001000000), CONST64(0x0100004001000000), + CONST64(0x0100000000010000), CONST64(0x0100004000010000), CONST64(0x0100000001010000), CONST64(0x0100004001010000), + CONST64(0x0100000000000100), CONST64(0x0100004000000100), CONST64(0x0100000001000100), CONST64(0x0100004001000100), + CONST64(0x0100000000010100), CONST64(0x0100004000010100), CONST64(0x0100000001010100), CONST64(0x0100004001010100), + CONST64(0x0100000000000001), CONST64(0x0100004000000001), CONST64(0x0100000001000001), CONST64(0x0100004001000001), + CONST64(0x0100000000010001), CONST64(0x0100004000010001), CONST64(0x0100000001010001), CONST64(0x0100004001010001), + CONST64(0x0100000000000101), CONST64(0x0100004000000101), CONST64(0x0100000001000101), CONST64(0x0100004001000101), + CONST64(0x0100000000010101), CONST64(0x0100004000010101), CONST64(0x0100000001010101), CONST64(0x0100004001010101), + CONST64(0x0001000000000000), CONST64(0x0001004000000000), CONST64(0x0001000001000000), CONST64(0x0001004001000000), + CONST64(0x0001000000010000), CONST64(0x0001004000010000), CONST64(0x0001000001010000), CONST64(0x0001004001010000), + CONST64(0x0001000000000100), CONST64(0x0001004000000100), CONST64(0x0001000001000100), CONST64(0x0001004001000100), + CONST64(0x0001000000010100), CONST64(0x0001004000010100), CONST64(0x0001000001010100), CONST64(0x0001004001010100), + CONST64(0x0001000000000001), CONST64(0x0001004000000001), CONST64(0x0001000001000001), CONST64(0x0001004001000001), + CONST64(0x0001000000010001), CONST64(0x0001004000010001), CONST64(0x0001000001010001), CONST64(0x0001004001010001), + CONST64(0x0001000000000101), CONST64(0x0001004000000101), CONST64(0x0001000001000101), CONST64(0x0001004001000101), + CONST64(0x0001000000010101), CONST64(0x0001004000010101), CONST64(0x0001000001010101), CONST64(0x0001004001010101), + CONST64(0x0101000000000000), CONST64(0x0101004000000000), CONST64(0x0101000001000000), CONST64(0x0101004001000000), + CONST64(0x0101000000010000), CONST64(0x0101004000010000), CONST64(0x0101000001010000), CONST64(0x0101004001010000), + CONST64(0x0101000000000100), CONST64(0x0101004000000100), CONST64(0x0101000001000100), CONST64(0x0101004001000100), + CONST64(0x0101000000010100), CONST64(0x0101004000010100), CONST64(0x0101000001010100), CONST64(0x0101004001010100), + CONST64(0x0101000000000001), CONST64(0x0101004000000001), CONST64(0x0101000001000001), CONST64(0x0101004001000001), + CONST64(0x0101000000010001), CONST64(0x0101004000010001), CONST64(0x0101000001010001), CONST64(0x0101004001010001), + CONST64(0x0101000000000101), CONST64(0x0101004000000101), CONST64(0x0101000001000101), CONST64(0x0101004001000101), + CONST64(0x0101000000010101), CONST64(0x0101004000010101), CONST64(0x0101000001010101), CONST64(0x0101004001010101), + CONST64(0x0000010000000000), CONST64(0x0000014000000000), CONST64(0x0000010001000000), CONST64(0x0000014001000000), + CONST64(0x0000010000010000), CONST64(0x0000014000010000), CONST64(0x0000010001010000), CONST64(0x0000014001010000), + CONST64(0x0000010000000100), CONST64(0x0000014000000100), CONST64(0x0000010001000100), CONST64(0x0000014001000100), + CONST64(0x0000010000010100), CONST64(0x0000014000010100), CONST64(0x0000010001010100), CONST64(0x0000014001010100), + CONST64(0x0000010000000001), CONST64(0x0000014000000001), CONST64(0x0000010001000001), CONST64(0x0000014001000001), + CONST64(0x0000010000010001), CONST64(0x0000014000010001), CONST64(0x0000010001010001), CONST64(0x0000014001010001), + CONST64(0x0000010000000101), CONST64(0x0000014000000101), CONST64(0x0000010001000101), CONST64(0x0000014001000101), + CONST64(0x0000010000010101), CONST64(0x0000014000010101), CONST64(0x0000010001010101), CONST64(0x0000014001010101), + CONST64(0x0100010000000000), CONST64(0x0100014000000000), CONST64(0x0100010001000000), CONST64(0x0100014001000000), + CONST64(0x0100010000010000), CONST64(0x0100014000010000), CONST64(0x0100010001010000), CONST64(0x0100014001010000), + CONST64(0x0100010000000100), CONST64(0x0100014000000100), CONST64(0x0100010001000100), CONST64(0x0100014001000100), + CONST64(0x0100010000010100), CONST64(0x0100014000010100), CONST64(0x0100010001010100), CONST64(0x0100014001010100), + CONST64(0x0100010000000001), CONST64(0x0100014000000001), CONST64(0x0100010001000001), CONST64(0x0100014001000001), + CONST64(0x0100010000010001), CONST64(0x0100014000010001), CONST64(0x0100010001010001), CONST64(0x0100014001010001), + CONST64(0x0100010000000101), CONST64(0x0100014000000101), CONST64(0x0100010001000101), CONST64(0x0100014001000101), + CONST64(0x0100010000010101), CONST64(0x0100014000010101), CONST64(0x0100010001010101), CONST64(0x0100014001010101), + CONST64(0x0001010000000000), CONST64(0x0001014000000000), CONST64(0x0001010001000000), CONST64(0x0001014001000000), + CONST64(0x0001010000010000), CONST64(0x0001014000010000), CONST64(0x0001010001010000), CONST64(0x0001014001010000), + CONST64(0x0001010000000100), CONST64(0x0001014000000100), CONST64(0x0001010001000100), CONST64(0x0001014001000100), + CONST64(0x0001010000010100), CONST64(0x0001014000010100), CONST64(0x0001010001010100), CONST64(0x0001014001010100), + CONST64(0x0001010000000001), CONST64(0x0001014000000001), CONST64(0x0001010001000001), CONST64(0x0001014001000001), + CONST64(0x0001010000010001), CONST64(0x0001014000010001), CONST64(0x0001010001010001), CONST64(0x0001014001010001), + CONST64(0x0001010000000101), CONST64(0x0001014000000101), CONST64(0x0001010001000101), CONST64(0x0001014001000101), + CONST64(0x0001010000010101), CONST64(0x0001014000010101), CONST64(0x0001010001010101), CONST64(0x0001014001010101), + CONST64(0x0101010000000000), CONST64(0x0101014000000000), CONST64(0x0101010001000000), CONST64(0x0101014001000000), + CONST64(0x0101010000010000), CONST64(0x0101014000010000), CONST64(0x0101010001010000), CONST64(0x0101014001010000), + CONST64(0x0101010000000100), CONST64(0x0101014000000100), CONST64(0x0101010001000100), CONST64(0x0101014001000100), + CONST64(0x0101010000010100), CONST64(0x0101014000010100), CONST64(0x0101010001010100), CONST64(0x0101014001010100), + CONST64(0x0101010000000001), CONST64(0x0101014000000001), CONST64(0x0101010001000001), CONST64(0x0101014001000001), + CONST64(0x0101010000010001), CONST64(0x0101014000010001), CONST64(0x0101010001010001), CONST64(0x0101014001010001), + CONST64(0x0101010000000101), CONST64(0x0101014000000101), CONST64(0x0101010001000101), CONST64(0x0101014001000101), CONST64(0x0101010000010101), CONST64(0x0101014000010101), CONST64(0x0101010001010101), CONST64(0x0101014001010101) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000000100000000), CONST64(0x0000000004000000), CONST64(0x0000000104000000), - CONST64(0x0000000000040000), CONST64(0x0000000100040000), CONST64(0x0000000004040000), CONST64(0x0000000104040000), - CONST64(0x0000000000000400), CONST64(0x0000000100000400), CONST64(0x0000000004000400), CONST64(0x0000000104000400), - CONST64(0x0000000000040400), CONST64(0x0000000100040400), CONST64(0x0000000004040400), CONST64(0x0000000104040400), - CONST64(0x0000000000000004), CONST64(0x0000000100000004), CONST64(0x0000000004000004), CONST64(0x0000000104000004), - CONST64(0x0000000000040004), CONST64(0x0000000100040004), CONST64(0x0000000004040004), CONST64(0x0000000104040004), - CONST64(0x0000000000000404), CONST64(0x0000000100000404), CONST64(0x0000000004000404), CONST64(0x0000000104000404), - CONST64(0x0000000000040404), CONST64(0x0000000100040404), CONST64(0x0000000004040404), CONST64(0x0000000104040404), - CONST64(0x0400000000000000), CONST64(0x0400000100000000), CONST64(0x0400000004000000), CONST64(0x0400000104000000), - CONST64(0x0400000000040000), CONST64(0x0400000100040000), CONST64(0x0400000004040000), CONST64(0x0400000104040000), - CONST64(0x0400000000000400), CONST64(0x0400000100000400), CONST64(0x0400000004000400), CONST64(0x0400000104000400), - CONST64(0x0400000000040400), CONST64(0x0400000100040400), CONST64(0x0400000004040400), CONST64(0x0400000104040400), - CONST64(0x0400000000000004), CONST64(0x0400000100000004), CONST64(0x0400000004000004), CONST64(0x0400000104000004), - CONST64(0x0400000000040004), CONST64(0x0400000100040004), CONST64(0x0400000004040004), CONST64(0x0400000104040004), - CONST64(0x0400000000000404), CONST64(0x0400000100000404), CONST64(0x0400000004000404), CONST64(0x0400000104000404), - CONST64(0x0400000000040404), CONST64(0x0400000100040404), CONST64(0x0400000004040404), CONST64(0x0400000104040404), - CONST64(0x0004000000000000), CONST64(0x0004000100000000), CONST64(0x0004000004000000), CONST64(0x0004000104000000), - CONST64(0x0004000000040000), CONST64(0x0004000100040000), CONST64(0x0004000004040000), CONST64(0x0004000104040000), - CONST64(0x0004000000000400), CONST64(0x0004000100000400), CONST64(0x0004000004000400), CONST64(0x0004000104000400), - CONST64(0x0004000000040400), CONST64(0x0004000100040400), CONST64(0x0004000004040400), CONST64(0x0004000104040400), - CONST64(0x0004000000000004), CONST64(0x0004000100000004), CONST64(0x0004000004000004), CONST64(0x0004000104000004), - CONST64(0x0004000000040004), CONST64(0x0004000100040004), CONST64(0x0004000004040004), CONST64(0x0004000104040004), - CONST64(0x0004000000000404), CONST64(0x0004000100000404), CONST64(0x0004000004000404), CONST64(0x0004000104000404), - CONST64(0x0004000000040404), CONST64(0x0004000100040404), CONST64(0x0004000004040404), CONST64(0x0004000104040404), - CONST64(0x0404000000000000), CONST64(0x0404000100000000), CONST64(0x0404000004000000), CONST64(0x0404000104000000), - CONST64(0x0404000000040000), CONST64(0x0404000100040000), CONST64(0x0404000004040000), CONST64(0x0404000104040000), - CONST64(0x0404000000000400), CONST64(0x0404000100000400), CONST64(0x0404000004000400), CONST64(0x0404000104000400), - CONST64(0x0404000000040400), CONST64(0x0404000100040400), CONST64(0x0404000004040400), CONST64(0x0404000104040400), - CONST64(0x0404000000000004), CONST64(0x0404000100000004), CONST64(0x0404000004000004), CONST64(0x0404000104000004), - CONST64(0x0404000000040004), CONST64(0x0404000100040004), CONST64(0x0404000004040004), CONST64(0x0404000104040004), - CONST64(0x0404000000000404), CONST64(0x0404000100000404), CONST64(0x0404000004000404), CONST64(0x0404000104000404), - CONST64(0x0404000000040404), CONST64(0x0404000100040404), CONST64(0x0404000004040404), CONST64(0x0404000104040404), - CONST64(0x0000040000000000), CONST64(0x0000040100000000), CONST64(0x0000040004000000), CONST64(0x0000040104000000), - CONST64(0x0000040000040000), CONST64(0x0000040100040000), CONST64(0x0000040004040000), CONST64(0x0000040104040000), - CONST64(0x0000040000000400), CONST64(0x0000040100000400), CONST64(0x0000040004000400), CONST64(0x0000040104000400), - CONST64(0x0000040000040400), CONST64(0x0000040100040400), CONST64(0x0000040004040400), CONST64(0x0000040104040400), - CONST64(0x0000040000000004), CONST64(0x0000040100000004), CONST64(0x0000040004000004), CONST64(0x0000040104000004), - CONST64(0x0000040000040004), CONST64(0x0000040100040004), CONST64(0x0000040004040004), CONST64(0x0000040104040004), - CONST64(0x0000040000000404), CONST64(0x0000040100000404), CONST64(0x0000040004000404), CONST64(0x0000040104000404), - CONST64(0x0000040000040404), CONST64(0x0000040100040404), CONST64(0x0000040004040404), CONST64(0x0000040104040404), - CONST64(0x0400040000000000), CONST64(0x0400040100000000), CONST64(0x0400040004000000), CONST64(0x0400040104000000), - CONST64(0x0400040000040000), CONST64(0x0400040100040000), CONST64(0x0400040004040000), CONST64(0x0400040104040000), - CONST64(0x0400040000000400), CONST64(0x0400040100000400), CONST64(0x0400040004000400), CONST64(0x0400040104000400), - CONST64(0x0400040000040400), CONST64(0x0400040100040400), CONST64(0x0400040004040400), CONST64(0x0400040104040400), - CONST64(0x0400040000000004), CONST64(0x0400040100000004), CONST64(0x0400040004000004), CONST64(0x0400040104000004), - CONST64(0x0400040000040004), CONST64(0x0400040100040004), CONST64(0x0400040004040004), CONST64(0x0400040104040004), - CONST64(0x0400040000000404), CONST64(0x0400040100000404), CONST64(0x0400040004000404), CONST64(0x0400040104000404), - CONST64(0x0400040000040404), CONST64(0x0400040100040404), CONST64(0x0400040004040404), CONST64(0x0400040104040404), - CONST64(0x0004040000000000), CONST64(0x0004040100000000), CONST64(0x0004040004000000), CONST64(0x0004040104000000), - CONST64(0x0004040000040000), CONST64(0x0004040100040000), CONST64(0x0004040004040000), CONST64(0x0004040104040000), - CONST64(0x0004040000000400), CONST64(0x0004040100000400), CONST64(0x0004040004000400), CONST64(0x0004040104000400), - CONST64(0x0004040000040400), CONST64(0x0004040100040400), CONST64(0x0004040004040400), CONST64(0x0004040104040400), - CONST64(0x0004040000000004), CONST64(0x0004040100000004), CONST64(0x0004040004000004), CONST64(0x0004040104000004), - CONST64(0x0004040000040004), CONST64(0x0004040100040004), CONST64(0x0004040004040004), CONST64(0x0004040104040004), - CONST64(0x0004040000000404), CONST64(0x0004040100000404), CONST64(0x0004040004000404), CONST64(0x0004040104000404), - CONST64(0x0004040000040404), CONST64(0x0004040100040404), CONST64(0x0004040004040404), CONST64(0x0004040104040404), - CONST64(0x0404040000000000), CONST64(0x0404040100000000), CONST64(0x0404040004000000), CONST64(0x0404040104000000), - CONST64(0x0404040000040000), CONST64(0x0404040100040000), CONST64(0x0404040004040000), CONST64(0x0404040104040000), - CONST64(0x0404040000000400), CONST64(0x0404040100000400), CONST64(0x0404040004000400), CONST64(0x0404040104000400), - CONST64(0x0404040000040400), CONST64(0x0404040100040400), CONST64(0x0404040004040400), CONST64(0x0404040104040400), - CONST64(0x0404040000000004), CONST64(0x0404040100000004), CONST64(0x0404040004000004), CONST64(0x0404040104000004), - CONST64(0x0404040000040004), CONST64(0x0404040100040004), CONST64(0x0404040004040004), CONST64(0x0404040104040004), - CONST64(0x0404040000000404), CONST64(0x0404040100000404), CONST64(0x0404040004000404), CONST64(0x0404040104000404), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000000100000000), CONST64(0x0000000004000000), CONST64(0x0000000104000000), + CONST64(0x0000000000040000), CONST64(0x0000000100040000), CONST64(0x0000000004040000), CONST64(0x0000000104040000), + CONST64(0x0000000000000400), CONST64(0x0000000100000400), CONST64(0x0000000004000400), CONST64(0x0000000104000400), + CONST64(0x0000000000040400), CONST64(0x0000000100040400), CONST64(0x0000000004040400), CONST64(0x0000000104040400), + CONST64(0x0000000000000004), CONST64(0x0000000100000004), CONST64(0x0000000004000004), CONST64(0x0000000104000004), + CONST64(0x0000000000040004), CONST64(0x0000000100040004), CONST64(0x0000000004040004), CONST64(0x0000000104040004), + CONST64(0x0000000000000404), CONST64(0x0000000100000404), CONST64(0x0000000004000404), CONST64(0x0000000104000404), + CONST64(0x0000000000040404), CONST64(0x0000000100040404), CONST64(0x0000000004040404), CONST64(0x0000000104040404), + CONST64(0x0400000000000000), CONST64(0x0400000100000000), CONST64(0x0400000004000000), CONST64(0x0400000104000000), + CONST64(0x0400000000040000), CONST64(0x0400000100040000), CONST64(0x0400000004040000), CONST64(0x0400000104040000), + CONST64(0x0400000000000400), CONST64(0x0400000100000400), CONST64(0x0400000004000400), CONST64(0x0400000104000400), + CONST64(0x0400000000040400), CONST64(0x0400000100040400), CONST64(0x0400000004040400), CONST64(0x0400000104040400), + CONST64(0x0400000000000004), CONST64(0x0400000100000004), CONST64(0x0400000004000004), CONST64(0x0400000104000004), + CONST64(0x0400000000040004), CONST64(0x0400000100040004), CONST64(0x0400000004040004), CONST64(0x0400000104040004), + CONST64(0x0400000000000404), CONST64(0x0400000100000404), CONST64(0x0400000004000404), CONST64(0x0400000104000404), + CONST64(0x0400000000040404), CONST64(0x0400000100040404), CONST64(0x0400000004040404), CONST64(0x0400000104040404), + CONST64(0x0004000000000000), CONST64(0x0004000100000000), CONST64(0x0004000004000000), CONST64(0x0004000104000000), + CONST64(0x0004000000040000), CONST64(0x0004000100040000), CONST64(0x0004000004040000), CONST64(0x0004000104040000), + CONST64(0x0004000000000400), CONST64(0x0004000100000400), CONST64(0x0004000004000400), CONST64(0x0004000104000400), + CONST64(0x0004000000040400), CONST64(0x0004000100040400), CONST64(0x0004000004040400), CONST64(0x0004000104040400), + CONST64(0x0004000000000004), CONST64(0x0004000100000004), CONST64(0x0004000004000004), CONST64(0x0004000104000004), + CONST64(0x0004000000040004), CONST64(0x0004000100040004), CONST64(0x0004000004040004), CONST64(0x0004000104040004), + CONST64(0x0004000000000404), CONST64(0x0004000100000404), CONST64(0x0004000004000404), CONST64(0x0004000104000404), + CONST64(0x0004000000040404), CONST64(0x0004000100040404), CONST64(0x0004000004040404), CONST64(0x0004000104040404), + CONST64(0x0404000000000000), CONST64(0x0404000100000000), CONST64(0x0404000004000000), CONST64(0x0404000104000000), + CONST64(0x0404000000040000), CONST64(0x0404000100040000), CONST64(0x0404000004040000), CONST64(0x0404000104040000), + CONST64(0x0404000000000400), CONST64(0x0404000100000400), CONST64(0x0404000004000400), CONST64(0x0404000104000400), + CONST64(0x0404000000040400), CONST64(0x0404000100040400), CONST64(0x0404000004040400), CONST64(0x0404000104040400), + CONST64(0x0404000000000004), CONST64(0x0404000100000004), CONST64(0x0404000004000004), CONST64(0x0404000104000004), + CONST64(0x0404000000040004), CONST64(0x0404000100040004), CONST64(0x0404000004040004), CONST64(0x0404000104040004), + CONST64(0x0404000000000404), CONST64(0x0404000100000404), CONST64(0x0404000004000404), CONST64(0x0404000104000404), + CONST64(0x0404000000040404), CONST64(0x0404000100040404), CONST64(0x0404000004040404), CONST64(0x0404000104040404), + CONST64(0x0000040000000000), CONST64(0x0000040100000000), CONST64(0x0000040004000000), CONST64(0x0000040104000000), + CONST64(0x0000040000040000), CONST64(0x0000040100040000), CONST64(0x0000040004040000), CONST64(0x0000040104040000), + CONST64(0x0000040000000400), CONST64(0x0000040100000400), CONST64(0x0000040004000400), CONST64(0x0000040104000400), + CONST64(0x0000040000040400), CONST64(0x0000040100040400), CONST64(0x0000040004040400), CONST64(0x0000040104040400), + CONST64(0x0000040000000004), CONST64(0x0000040100000004), CONST64(0x0000040004000004), CONST64(0x0000040104000004), + CONST64(0x0000040000040004), CONST64(0x0000040100040004), CONST64(0x0000040004040004), CONST64(0x0000040104040004), + CONST64(0x0000040000000404), CONST64(0x0000040100000404), CONST64(0x0000040004000404), CONST64(0x0000040104000404), + CONST64(0x0000040000040404), CONST64(0x0000040100040404), CONST64(0x0000040004040404), CONST64(0x0000040104040404), + CONST64(0x0400040000000000), CONST64(0x0400040100000000), CONST64(0x0400040004000000), CONST64(0x0400040104000000), + CONST64(0x0400040000040000), CONST64(0x0400040100040000), CONST64(0x0400040004040000), CONST64(0x0400040104040000), + CONST64(0x0400040000000400), CONST64(0x0400040100000400), CONST64(0x0400040004000400), CONST64(0x0400040104000400), + CONST64(0x0400040000040400), CONST64(0x0400040100040400), CONST64(0x0400040004040400), CONST64(0x0400040104040400), + CONST64(0x0400040000000004), CONST64(0x0400040100000004), CONST64(0x0400040004000004), CONST64(0x0400040104000004), + CONST64(0x0400040000040004), CONST64(0x0400040100040004), CONST64(0x0400040004040004), CONST64(0x0400040104040004), + CONST64(0x0400040000000404), CONST64(0x0400040100000404), CONST64(0x0400040004000404), CONST64(0x0400040104000404), + CONST64(0x0400040000040404), CONST64(0x0400040100040404), CONST64(0x0400040004040404), CONST64(0x0400040104040404), + CONST64(0x0004040000000000), CONST64(0x0004040100000000), CONST64(0x0004040004000000), CONST64(0x0004040104000000), + CONST64(0x0004040000040000), CONST64(0x0004040100040000), CONST64(0x0004040004040000), CONST64(0x0004040104040000), + CONST64(0x0004040000000400), CONST64(0x0004040100000400), CONST64(0x0004040004000400), CONST64(0x0004040104000400), + CONST64(0x0004040000040400), CONST64(0x0004040100040400), CONST64(0x0004040004040400), CONST64(0x0004040104040400), + CONST64(0x0004040000000004), CONST64(0x0004040100000004), CONST64(0x0004040004000004), CONST64(0x0004040104000004), + CONST64(0x0004040000040004), CONST64(0x0004040100040004), CONST64(0x0004040004040004), CONST64(0x0004040104040004), + CONST64(0x0004040000000404), CONST64(0x0004040100000404), CONST64(0x0004040004000404), CONST64(0x0004040104000404), + CONST64(0x0004040000040404), CONST64(0x0004040100040404), CONST64(0x0004040004040404), CONST64(0x0004040104040404), + CONST64(0x0404040000000000), CONST64(0x0404040100000000), CONST64(0x0404040004000000), CONST64(0x0404040104000000), + CONST64(0x0404040000040000), CONST64(0x0404040100040000), CONST64(0x0404040004040000), CONST64(0x0404040104040000), + CONST64(0x0404040000000400), CONST64(0x0404040100000400), CONST64(0x0404040004000400), CONST64(0x0404040104000400), + CONST64(0x0404040000040400), CONST64(0x0404040100040400), CONST64(0x0404040004040400), CONST64(0x0404040104040400), + CONST64(0x0404040000000004), CONST64(0x0404040100000004), CONST64(0x0404040004000004), CONST64(0x0404040104000004), + CONST64(0x0404040000040004), CONST64(0x0404040100040004), CONST64(0x0404040004040004), CONST64(0x0404040104040004), + CONST64(0x0404040000000404), CONST64(0x0404040100000404), CONST64(0x0404040004000404), CONST64(0x0404040104000404), CONST64(0x0404040000040404), CONST64(0x0404040100040404), CONST64(0x0404040004040404), CONST64(0x0404040104040404) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000000400000000), CONST64(0x0000000010000000), CONST64(0x0000000410000000), - CONST64(0x0000000000100000), CONST64(0x0000000400100000), CONST64(0x0000000010100000), CONST64(0x0000000410100000), - CONST64(0x0000000000001000), CONST64(0x0000000400001000), CONST64(0x0000000010001000), CONST64(0x0000000410001000), - CONST64(0x0000000000101000), CONST64(0x0000000400101000), CONST64(0x0000000010101000), CONST64(0x0000000410101000), - CONST64(0x0000000000000010), CONST64(0x0000000400000010), CONST64(0x0000000010000010), CONST64(0x0000000410000010), - CONST64(0x0000000000100010), CONST64(0x0000000400100010), CONST64(0x0000000010100010), CONST64(0x0000000410100010), - CONST64(0x0000000000001010), CONST64(0x0000000400001010), CONST64(0x0000000010001010), CONST64(0x0000000410001010), - CONST64(0x0000000000101010), CONST64(0x0000000400101010), CONST64(0x0000000010101010), CONST64(0x0000000410101010), - CONST64(0x1000000000000000), CONST64(0x1000000400000000), CONST64(0x1000000010000000), CONST64(0x1000000410000000), - CONST64(0x1000000000100000), CONST64(0x1000000400100000), CONST64(0x1000000010100000), CONST64(0x1000000410100000), - CONST64(0x1000000000001000), CONST64(0x1000000400001000), CONST64(0x1000000010001000), CONST64(0x1000000410001000), - CONST64(0x1000000000101000), CONST64(0x1000000400101000), CONST64(0x1000000010101000), CONST64(0x1000000410101000), - CONST64(0x1000000000000010), CONST64(0x1000000400000010), CONST64(0x1000000010000010), CONST64(0x1000000410000010), - CONST64(0x1000000000100010), CONST64(0x1000000400100010), CONST64(0x1000000010100010), CONST64(0x1000000410100010), - CONST64(0x1000000000001010), CONST64(0x1000000400001010), CONST64(0x1000000010001010), CONST64(0x1000000410001010), - CONST64(0x1000000000101010), CONST64(0x1000000400101010), CONST64(0x1000000010101010), CONST64(0x1000000410101010), - CONST64(0x0010000000000000), CONST64(0x0010000400000000), CONST64(0x0010000010000000), CONST64(0x0010000410000000), - CONST64(0x0010000000100000), CONST64(0x0010000400100000), CONST64(0x0010000010100000), CONST64(0x0010000410100000), - CONST64(0x0010000000001000), CONST64(0x0010000400001000), CONST64(0x0010000010001000), CONST64(0x0010000410001000), - CONST64(0x0010000000101000), CONST64(0x0010000400101000), CONST64(0x0010000010101000), CONST64(0x0010000410101000), - CONST64(0x0010000000000010), CONST64(0x0010000400000010), CONST64(0x0010000010000010), CONST64(0x0010000410000010), - CONST64(0x0010000000100010), CONST64(0x0010000400100010), CONST64(0x0010000010100010), CONST64(0x0010000410100010), - CONST64(0x0010000000001010), CONST64(0x0010000400001010), CONST64(0x0010000010001010), CONST64(0x0010000410001010), - CONST64(0x0010000000101010), CONST64(0x0010000400101010), CONST64(0x0010000010101010), CONST64(0x0010000410101010), - CONST64(0x1010000000000000), CONST64(0x1010000400000000), CONST64(0x1010000010000000), CONST64(0x1010000410000000), - CONST64(0x1010000000100000), CONST64(0x1010000400100000), CONST64(0x1010000010100000), CONST64(0x1010000410100000), - CONST64(0x1010000000001000), CONST64(0x1010000400001000), CONST64(0x1010000010001000), CONST64(0x1010000410001000), - CONST64(0x1010000000101000), CONST64(0x1010000400101000), CONST64(0x1010000010101000), CONST64(0x1010000410101000), - CONST64(0x1010000000000010), CONST64(0x1010000400000010), CONST64(0x1010000010000010), CONST64(0x1010000410000010), - CONST64(0x1010000000100010), CONST64(0x1010000400100010), CONST64(0x1010000010100010), CONST64(0x1010000410100010), - CONST64(0x1010000000001010), CONST64(0x1010000400001010), CONST64(0x1010000010001010), CONST64(0x1010000410001010), - CONST64(0x1010000000101010), CONST64(0x1010000400101010), CONST64(0x1010000010101010), CONST64(0x1010000410101010), - CONST64(0x0000100000000000), CONST64(0x0000100400000000), CONST64(0x0000100010000000), CONST64(0x0000100410000000), - CONST64(0x0000100000100000), CONST64(0x0000100400100000), CONST64(0x0000100010100000), CONST64(0x0000100410100000), - CONST64(0x0000100000001000), CONST64(0x0000100400001000), CONST64(0x0000100010001000), CONST64(0x0000100410001000), - CONST64(0x0000100000101000), CONST64(0x0000100400101000), CONST64(0x0000100010101000), CONST64(0x0000100410101000), - CONST64(0x0000100000000010), CONST64(0x0000100400000010), CONST64(0x0000100010000010), CONST64(0x0000100410000010), - CONST64(0x0000100000100010), CONST64(0x0000100400100010), CONST64(0x0000100010100010), CONST64(0x0000100410100010), - CONST64(0x0000100000001010), CONST64(0x0000100400001010), CONST64(0x0000100010001010), CONST64(0x0000100410001010), - CONST64(0x0000100000101010), CONST64(0x0000100400101010), CONST64(0x0000100010101010), CONST64(0x0000100410101010), - CONST64(0x1000100000000000), CONST64(0x1000100400000000), CONST64(0x1000100010000000), CONST64(0x1000100410000000), - CONST64(0x1000100000100000), CONST64(0x1000100400100000), CONST64(0x1000100010100000), CONST64(0x1000100410100000), - CONST64(0x1000100000001000), CONST64(0x1000100400001000), CONST64(0x1000100010001000), CONST64(0x1000100410001000), - CONST64(0x1000100000101000), CONST64(0x1000100400101000), CONST64(0x1000100010101000), CONST64(0x1000100410101000), - CONST64(0x1000100000000010), CONST64(0x1000100400000010), CONST64(0x1000100010000010), CONST64(0x1000100410000010), - CONST64(0x1000100000100010), CONST64(0x1000100400100010), CONST64(0x1000100010100010), CONST64(0x1000100410100010), - CONST64(0x1000100000001010), CONST64(0x1000100400001010), CONST64(0x1000100010001010), CONST64(0x1000100410001010), - CONST64(0x1000100000101010), CONST64(0x1000100400101010), CONST64(0x1000100010101010), CONST64(0x1000100410101010), - CONST64(0x0010100000000000), CONST64(0x0010100400000000), CONST64(0x0010100010000000), CONST64(0x0010100410000000), - CONST64(0x0010100000100000), CONST64(0x0010100400100000), CONST64(0x0010100010100000), CONST64(0x0010100410100000), - CONST64(0x0010100000001000), CONST64(0x0010100400001000), CONST64(0x0010100010001000), CONST64(0x0010100410001000), - CONST64(0x0010100000101000), CONST64(0x0010100400101000), CONST64(0x0010100010101000), CONST64(0x0010100410101000), - CONST64(0x0010100000000010), CONST64(0x0010100400000010), CONST64(0x0010100010000010), CONST64(0x0010100410000010), - CONST64(0x0010100000100010), CONST64(0x0010100400100010), CONST64(0x0010100010100010), CONST64(0x0010100410100010), - CONST64(0x0010100000001010), CONST64(0x0010100400001010), CONST64(0x0010100010001010), CONST64(0x0010100410001010), - CONST64(0x0010100000101010), CONST64(0x0010100400101010), CONST64(0x0010100010101010), CONST64(0x0010100410101010), - CONST64(0x1010100000000000), CONST64(0x1010100400000000), CONST64(0x1010100010000000), CONST64(0x1010100410000000), - CONST64(0x1010100000100000), CONST64(0x1010100400100000), CONST64(0x1010100010100000), CONST64(0x1010100410100000), - CONST64(0x1010100000001000), CONST64(0x1010100400001000), CONST64(0x1010100010001000), CONST64(0x1010100410001000), - CONST64(0x1010100000101000), CONST64(0x1010100400101000), CONST64(0x1010100010101000), CONST64(0x1010100410101000), - CONST64(0x1010100000000010), CONST64(0x1010100400000010), CONST64(0x1010100010000010), CONST64(0x1010100410000010), - CONST64(0x1010100000100010), CONST64(0x1010100400100010), CONST64(0x1010100010100010), CONST64(0x1010100410100010), - CONST64(0x1010100000001010), CONST64(0x1010100400001010), CONST64(0x1010100010001010), CONST64(0x1010100410001010), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000000400000000), CONST64(0x0000000010000000), CONST64(0x0000000410000000), + CONST64(0x0000000000100000), CONST64(0x0000000400100000), CONST64(0x0000000010100000), CONST64(0x0000000410100000), + CONST64(0x0000000000001000), CONST64(0x0000000400001000), CONST64(0x0000000010001000), CONST64(0x0000000410001000), + CONST64(0x0000000000101000), CONST64(0x0000000400101000), CONST64(0x0000000010101000), CONST64(0x0000000410101000), + CONST64(0x0000000000000010), CONST64(0x0000000400000010), CONST64(0x0000000010000010), CONST64(0x0000000410000010), + CONST64(0x0000000000100010), CONST64(0x0000000400100010), CONST64(0x0000000010100010), CONST64(0x0000000410100010), + CONST64(0x0000000000001010), CONST64(0x0000000400001010), CONST64(0x0000000010001010), CONST64(0x0000000410001010), + CONST64(0x0000000000101010), CONST64(0x0000000400101010), CONST64(0x0000000010101010), CONST64(0x0000000410101010), + CONST64(0x1000000000000000), CONST64(0x1000000400000000), CONST64(0x1000000010000000), CONST64(0x1000000410000000), + CONST64(0x1000000000100000), CONST64(0x1000000400100000), CONST64(0x1000000010100000), CONST64(0x1000000410100000), + CONST64(0x1000000000001000), CONST64(0x1000000400001000), CONST64(0x1000000010001000), CONST64(0x1000000410001000), + CONST64(0x1000000000101000), CONST64(0x1000000400101000), CONST64(0x1000000010101000), CONST64(0x1000000410101000), + CONST64(0x1000000000000010), CONST64(0x1000000400000010), CONST64(0x1000000010000010), CONST64(0x1000000410000010), + CONST64(0x1000000000100010), CONST64(0x1000000400100010), CONST64(0x1000000010100010), CONST64(0x1000000410100010), + CONST64(0x1000000000001010), CONST64(0x1000000400001010), CONST64(0x1000000010001010), CONST64(0x1000000410001010), + CONST64(0x1000000000101010), CONST64(0x1000000400101010), CONST64(0x1000000010101010), CONST64(0x1000000410101010), + CONST64(0x0010000000000000), CONST64(0x0010000400000000), CONST64(0x0010000010000000), CONST64(0x0010000410000000), + CONST64(0x0010000000100000), CONST64(0x0010000400100000), CONST64(0x0010000010100000), CONST64(0x0010000410100000), + CONST64(0x0010000000001000), CONST64(0x0010000400001000), CONST64(0x0010000010001000), CONST64(0x0010000410001000), + CONST64(0x0010000000101000), CONST64(0x0010000400101000), CONST64(0x0010000010101000), CONST64(0x0010000410101000), + CONST64(0x0010000000000010), CONST64(0x0010000400000010), CONST64(0x0010000010000010), CONST64(0x0010000410000010), + CONST64(0x0010000000100010), CONST64(0x0010000400100010), CONST64(0x0010000010100010), CONST64(0x0010000410100010), + CONST64(0x0010000000001010), CONST64(0x0010000400001010), CONST64(0x0010000010001010), CONST64(0x0010000410001010), + CONST64(0x0010000000101010), CONST64(0x0010000400101010), CONST64(0x0010000010101010), CONST64(0x0010000410101010), + CONST64(0x1010000000000000), CONST64(0x1010000400000000), CONST64(0x1010000010000000), CONST64(0x1010000410000000), + CONST64(0x1010000000100000), CONST64(0x1010000400100000), CONST64(0x1010000010100000), CONST64(0x1010000410100000), + CONST64(0x1010000000001000), CONST64(0x1010000400001000), CONST64(0x1010000010001000), CONST64(0x1010000410001000), + CONST64(0x1010000000101000), CONST64(0x1010000400101000), CONST64(0x1010000010101000), CONST64(0x1010000410101000), + CONST64(0x1010000000000010), CONST64(0x1010000400000010), CONST64(0x1010000010000010), CONST64(0x1010000410000010), + CONST64(0x1010000000100010), CONST64(0x1010000400100010), CONST64(0x1010000010100010), CONST64(0x1010000410100010), + CONST64(0x1010000000001010), CONST64(0x1010000400001010), CONST64(0x1010000010001010), CONST64(0x1010000410001010), + CONST64(0x1010000000101010), CONST64(0x1010000400101010), CONST64(0x1010000010101010), CONST64(0x1010000410101010), + CONST64(0x0000100000000000), CONST64(0x0000100400000000), CONST64(0x0000100010000000), CONST64(0x0000100410000000), + CONST64(0x0000100000100000), CONST64(0x0000100400100000), CONST64(0x0000100010100000), CONST64(0x0000100410100000), + CONST64(0x0000100000001000), CONST64(0x0000100400001000), CONST64(0x0000100010001000), CONST64(0x0000100410001000), + CONST64(0x0000100000101000), CONST64(0x0000100400101000), CONST64(0x0000100010101000), CONST64(0x0000100410101000), + CONST64(0x0000100000000010), CONST64(0x0000100400000010), CONST64(0x0000100010000010), CONST64(0x0000100410000010), + CONST64(0x0000100000100010), CONST64(0x0000100400100010), CONST64(0x0000100010100010), CONST64(0x0000100410100010), + CONST64(0x0000100000001010), CONST64(0x0000100400001010), CONST64(0x0000100010001010), CONST64(0x0000100410001010), + CONST64(0x0000100000101010), CONST64(0x0000100400101010), CONST64(0x0000100010101010), CONST64(0x0000100410101010), + CONST64(0x1000100000000000), CONST64(0x1000100400000000), CONST64(0x1000100010000000), CONST64(0x1000100410000000), + CONST64(0x1000100000100000), CONST64(0x1000100400100000), CONST64(0x1000100010100000), CONST64(0x1000100410100000), + CONST64(0x1000100000001000), CONST64(0x1000100400001000), CONST64(0x1000100010001000), CONST64(0x1000100410001000), + CONST64(0x1000100000101000), CONST64(0x1000100400101000), CONST64(0x1000100010101000), CONST64(0x1000100410101000), + CONST64(0x1000100000000010), CONST64(0x1000100400000010), CONST64(0x1000100010000010), CONST64(0x1000100410000010), + CONST64(0x1000100000100010), CONST64(0x1000100400100010), CONST64(0x1000100010100010), CONST64(0x1000100410100010), + CONST64(0x1000100000001010), CONST64(0x1000100400001010), CONST64(0x1000100010001010), CONST64(0x1000100410001010), + CONST64(0x1000100000101010), CONST64(0x1000100400101010), CONST64(0x1000100010101010), CONST64(0x1000100410101010), + CONST64(0x0010100000000000), CONST64(0x0010100400000000), CONST64(0x0010100010000000), CONST64(0x0010100410000000), + CONST64(0x0010100000100000), CONST64(0x0010100400100000), CONST64(0x0010100010100000), CONST64(0x0010100410100000), + CONST64(0x0010100000001000), CONST64(0x0010100400001000), CONST64(0x0010100010001000), CONST64(0x0010100410001000), + CONST64(0x0010100000101000), CONST64(0x0010100400101000), CONST64(0x0010100010101000), CONST64(0x0010100410101000), + CONST64(0x0010100000000010), CONST64(0x0010100400000010), CONST64(0x0010100010000010), CONST64(0x0010100410000010), + CONST64(0x0010100000100010), CONST64(0x0010100400100010), CONST64(0x0010100010100010), CONST64(0x0010100410100010), + CONST64(0x0010100000001010), CONST64(0x0010100400001010), CONST64(0x0010100010001010), CONST64(0x0010100410001010), + CONST64(0x0010100000101010), CONST64(0x0010100400101010), CONST64(0x0010100010101010), CONST64(0x0010100410101010), + CONST64(0x1010100000000000), CONST64(0x1010100400000000), CONST64(0x1010100010000000), CONST64(0x1010100410000000), + CONST64(0x1010100000100000), CONST64(0x1010100400100000), CONST64(0x1010100010100000), CONST64(0x1010100410100000), + CONST64(0x1010100000001000), CONST64(0x1010100400001000), CONST64(0x1010100010001000), CONST64(0x1010100410001000), + CONST64(0x1010100000101000), CONST64(0x1010100400101000), CONST64(0x1010100010101000), CONST64(0x1010100410101000), + CONST64(0x1010100000000010), CONST64(0x1010100400000010), CONST64(0x1010100010000010), CONST64(0x1010100410000010), + CONST64(0x1010100000100010), CONST64(0x1010100400100010), CONST64(0x1010100010100010), CONST64(0x1010100410100010), + CONST64(0x1010100000001010), CONST64(0x1010100400001010), CONST64(0x1010100010001010), CONST64(0x1010100410001010), CONST64(0x1010100000101010), CONST64(0x1010100400101010), CONST64(0x1010100010101010), CONST64(0x1010100410101010) - }, -{ CONST64(0x0000000000000000), CONST64(0x0000001000000000), CONST64(0x0000000040000000), CONST64(0x0000001040000000), - CONST64(0x0000000000400000), CONST64(0x0000001000400000), CONST64(0x0000000040400000), CONST64(0x0000001040400000), - CONST64(0x0000000000004000), CONST64(0x0000001000004000), CONST64(0x0000000040004000), CONST64(0x0000001040004000), - CONST64(0x0000000000404000), CONST64(0x0000001000404000), CONST64(0x0000000040404000), CONST64(0x0000001040404000), - CONST64(0x0000000000000040), CONST64(0x0000001000000040), CONST64(0x0000000040000040), CONST64(0x0000001040000040), - CONST64(0x0000000000400040), CONST64(0x0000001000400040), CONST64(0x0000000040400040), CONST64(0x0000001040400040), - CONST64(0x0000000000004040), CONST64(0x0000001000004040), CONST64(0x0000000040004040), CONST64(0x0000001040004040), - CONST64(0x0000000000404040), CONST64(0x0000001000404040), CONST64(0x0000000040404040), CONST64(0x0000001040404040), - CONST64(0x4000000000000000), CONST64(0x4000001000000000), CONST64(0x4000000040000000), CONST64(0x4000001040000000), - CONST64(0x4000000000400000), CONST64(0x4000001000400000), CONST64(0x4000000040400000), CONST64(0x4000001040400000), - CONST64(0x4000000000004000), CONST64(0x4000001000004000), CONST64(0x4000000040004000), CONST64(0x4000001040004000), - CONST64(0x4000000000404000), CONST64(0x4000001000404000), CONST64(0x4000000040404000), CONST64(0x4000001040404000), - CONST64(0x4000000000000040), CONST64(0x4000001000000040), CONST64(0x4000000040000040), CONST64(0x4000001040000040), - CONST64(0x4000000000400040), CONST64(0x4000001000400040), CONST64(0x4000000040400040), CONST64(0x4000001040400040), - CONST64(0x4000000000004040), CONST64(0x4000001000004040), CONST64(0x4000000040004040), CONST64(0x4000001040004040), - CONST64(0x4000000000404040), CONST64(0x4000001000404040), CONST64(0x4000000040404040), CONST64(0x4000001040404040), - CONST64(0x0040000000000000), CONST64(0x0040001000000000), CONST64(0x0040000040000000), CONST64(0x0040001040000000), - CONST64(0x0040000000400000), CONST64(0x0040001000400000), CONST64(0x0040000040400000), CONST64(0x0040001040400000), - CONST64(0x0040000000004000), CONST64(0x0040001000004000), CONST64(0x0040000040004000), CONST64(0x0040001040004000), - CONST64(0x0040000000404000), CONST64(0x0040001000404000), CONST64(0x0040000040404000), CONST64(0x0040001040404000), - CONST64(0x0040000000000040), CONST64(0x0040001000000040), CONST64(0x0040000040000040), CONST64(0x0040001040000040), - CONST64(0x0040000000400040), CONST64(0x0040001000400040), CONST64(0x0040000040400040), CONST64(0x0040001040400040), - CONST64(0x0040000000004040), CONST64(0x0040001000004040), CONST64(0x0040000040004040), CONST64(0x0040001040004040), - CONST64(0x0040000000404040), CONST64(0x0040001000404040), CONST64(0x0040000040404040), CONST64(0x0040001040404040), - CONST64(0x4040000000000000), CONST64(0x4040001000000000), CONST64(0x4040000040000000), CONST64(0x4040001040000000), - CONST64(0x4040000000400000), CONST64(0x4040001000400000), CONST64(0x4040000040400000), CONST64(0x4040001040400000), - CONST64(0x4040000000004000), CONST64(0x4040001000004000), CONST64(0x4040000040004000), CONST64(0x4040001040004000), - CONST64(0x4040000000404000), CONST64(0x4040001000404000), CONST64(0x4040000040404000), CONST64(0x4040001040404000), - CONST64(0x4040000000000040), CONST64(0x4040001000000040), CONST64(0x4040000040000040), CONST64(0x4040001040000040), - CONST64(0x4040000000400040), CONST64(0x4040001000400040), CONST64(0x4040000040400040), CONST64(0x4040001040400040), - CONST64(0x4040000000004040), CONST64(0x4040001000004040), CONST64(0x4040000040004040), CONST64(0x4040001040004040), - CONST64(0x4040000000404040), CONST64(0x4040001000404040), CONST64(0x4040000040404040), CONST64(0x4040001040404040), - CONST64(0x0000400000000000), CONST64(0x0000401000000000), CONST64(0x0000400040000000), CONST64(0x0000401040000000), - CONST64(0x0000400000400000), CONST64(0x0000401000400000), CONST64(0x0000400040400000), CONST64(0x0000401040400000), - CONST64(0x0000400000004000), CONST64(0x0000401000004000), CONST64(0x0000400040004000), CONST64(0x0000401040004000), - CONST64(0x0000400000404000), CONST64(0x0000401000404000), CONST64(0x0000400040404000), CONST64(0x0000401040404000), - CONST64(0x0000400000000040), CONST64(0x0000401000000040), CONST64(0x0000400040000040), CONST64(0x0000401040000040), - CONST64(0x0000400000400040), CONST64(0x0000401000400040), CONST64(0x0000400040400040), CONST64(0x0000401040400040), - CONST64(0x0000400000004040), CONST64(0x0000401000004040), CONST64(0x0000400040004040), CONST64(0x0000401040004040), - CONST64(0x0000400000404040), CONST64(0x0000401000404040), CONST64(0x0000400040404040), CONST64(0x0000401040404040), - CONST64(0x4000400000000000), CONST64(0x4000401000000000), CONST64(0x4000400040000000), CONST64(0x4000401040000000), - CONST64(0x4000400000400000), CONST64(0x4000401000400000), CONST64(0x4000400040400000), CONST64(0x4000401040400000), - CONST64(0x4000400000004000), CONST64(0x4000401000004000), CONST64(0x4000400040004000), CONST64(0x4000401040004000), - CONST64(0x4000400000404000), CONST64(0x4000401000404000), CONST64(0x4000400040404000), CONST64(0x4000401040404000), - CONST64(0x4000400000000040), CONST64(0x4000401000000040), CONST64(0x4000400040000040), CONST64(0x4000401040000040), - CONST64(0x4000400000400040), CONST64(0x4000401000400040), CONST64(0x4000400040400040), CONST64(0x4000401040400040), - CONST64(0x4000400000004040), CONST64(0x4000401000004040), CONST64(0x4000400040004040), CONST64(0x4000401040004040), - CONST64(0x4000400000404040), CONST64(0x4000401000404040), CONST64(0x4000400040404040), CONST64(0x4000401040404040), - CONST64(0x0040400000000000), CONST64(0x0040401000000000), CONST64(0x0040400040000000), CONST64(0x0040401040000000), - CONST64(0x0040400000400000), CONST64(0x0040401000400000), CONST64(0x0040400040400000), CONST64(0x0040401040400000), - CONST64(0x0040400000004000), CONST64(0x0040401000004000), CONST64(0x0040400040004000), CONST64(0x0040401040004000), - CONST64(0x0040400000404000), CONST64(0x0040401000404000), CONST64(0x0040400040404000), CONST64(0x0040401040404000), - CONST64(0x0040400000000040), CONST64(0x0040401000000040), CONST64(0x0040400040000040), CONST64(0x0040401040000040), - CONST64(0x0040400000400040), CONST64(0x0040401000400040), CONST64(0x0040400040400040), CONST64(0x0040401040400040), - CONST64(0x0040400000004040), CONST64(0x0040401000004040), CONST64(0x0040400040004040), CONST64(0x0040401040004040), - CONST64(0x0040400000404040), CONST64(0x0040401000404040), CONST64(0x0040400040404040), CONST64(0x0040401040404040), - CONST64(0x4040400000000000), CONST64(0x4040401000000000), CONST64(0x4040400040000000), CONST64(0x4040401040000000), - CONST64(0x4040400000400000), CONST64(0x4040401000400000), CONST64(0x4040400040400000), CONST64(0x4040401040400000), - CONST64(0x4040400000004000), CONST64(0x4040401000004000), CONST64(0x4040400040004000), CONST64(0x4040401040004000), - CONST64(0x4040400000404000), CONST64(0x4040401000404000), CONST64(0x4040400040404000), CONST64(0x4040401040404000), - CONST64(0x4040400000000040), CONST64(0x4040401000000040), CONST64(0x4040400040000040), CONST64(0x4040401040000040), - CONST64(0x4040400000400040), CONST64(0x4040401000400040), CONST64(0x4040400040400040), CONST64(0x4040401040400040), - CONST64(0x4040400000004040), CONST64(0x4040401000004040), CONST64(0x4040400040004040), CONST64(0x4040401040004040), + }, +{ CONST64(0x0000000000000000), CONST64(0x0000001000000000), CONST64(0x0000000040000000), CONST64(0x0000001040000000), + CONST64(0x0000000000400000), CONST64(0x0000001000400000), CONST64(0x0000000040400000), CONST64(0x0000001040400000), + CONST64(0x0000000000004000), CONST64(0x0000001000004000), CONST64(0x0000000040004000), CONST64(0x0000001040004000), + CONST64(0x0000000000404000), CONST64(0x0000001000404000), CONST64(0x0000000040404000), CONST64(0x0000001040404000), + CONST64(0x0000000000000040), CONST64(0x0000001000000040), CONST64(0x0000000040000040), CONST64(0x0000001040000040), + CONST64(0x0000000000400040), CONST64(0x0000001000400040), CONST64(0x0000000040400040), CONST64(0x0000001040400040), + CONST64(0x0000000000004040), CONST64(0x0000001000004040), CONST64(0x0000000040004040), CONST64(0x0000001040004040), + CONST64(0x0000000000404040), CONST64(0x0000001000404040), CONST64(0x0000000040404040), CONST64(0x0000001040404040), + CONST64(0x4000000000000000), CONST64(0x4000001000000000), CONST64(0x4000000040000000), CONST64(0x4000001040000000), + CONST64(0x4000000000400000), CONST64(0x4000001000400000), CONST64(0x4000000040400000), CONST64(0x4000001040400000), + CONST64(0x4000000000004000), CONST64(0x4000001000004000), CONST64(0x4000000040004000), CONST64(0x4000001040004000), + CONST64(0x4000000000404000), CONST64(0x4000001000404000), CONST64(0x4000000040404000), CONST64(0x4000001040404000), + CONST64(0x4000000000000040), CONST64(0x4000001000000040), CONST64(0x4000000040000040), CONST64(0x4000001040000040), + CONST64(0x4000000000400040), CONST64(0x4000001000400040), CONST64(0x4000000040400040), CONST64(0x4000001040400040), + CONST64(0x4000000000004040), CONST64(0x4000001000004040), CONST64(0x4000000040004040), CONST64(0x4000001040004040), + CONST64(0x4000000000404040), CONST64(0x4000001000404040), CONST64(0x4000000040404040), CONST64(0x4000001040404040), + CONST64(0x0040000000000000), CONST64(0x0040001000000000), CONST64(0x0040000040000000), CONST64(0x0040001040000000), + CONST64(0x0040000000400000), CONST64(0x0040001000400000), CONST64(0x0040000040400000), CONST64(0x0040001040400000), + CONST64(0x0040000000004000), CONST64(0x0040001000004000), CONST64(0x0040000040004000), CONST64(0x0040001040004000), + CONST64(0x0040000000404000), CONST64(0x0040001000404000), CONST64(0x0040000040404000), CONST64(0x0040001040404000), + CONST64(0x0040000000000040), CONST64(0x0040001000000040), CONST64(0x0040000040000040), CONST64(0x0040001040000040), + CONST64(0x0040000000400040), CONST64(0x0040001000400040), CONST64(0x0040000040400040), CONST64(0x0040001040400040), + CONST64(0x0040000000004040), CONST64(0x0040001000004040), CONST64(0x0040000040004040), CONST64(0x0040001040004040), + CONST64(0x0040000000404040), CONST64(0x0040001000404040), CONST64(0x0040000040404040), CONST64(0x0040001040404040), + CONST64(0x4040000000000000), CONST64(0x4040001000000000), CONST64(0x4040000040000000), CONST64(0x4040001040000000), + CONST64(0x4040000000400000), CONST64(0x4040001000400000), CONST64(0x4040000040400000), CONST64(0x4040001040400000), + CONST64(0x4040000000004000), CONST64(0x4040001000004000), CONST64(0x4040000040004000), CONST64(0x4040001040004000), + CONST64(0x4040000000404000), CONST64(0x4040001000404000), CONST64(0x4040000040404000), CONST64(0x4040001040404000), + CONST64(0x4040000000000040), CONST64(0x4040001000000040), CONST64(0x4040000040000040), CONST64(0x4040001040000040), + CONST64(0x4040000000400040), CONST64(0x4040001000400040), CONST64(0x4040000040400040), CONST64(0x4040001040400040), + CONST64(0x4040000000004040), CONST64(0x4040001000004040), CONST64(0x4040000040004040), CONST64(0x4040001040004040), + CONST64(0x4040000000404040), CONST64(0x4040001000404040), CONST64(0x4040000040404040), CONST64(0x4040001040404040), + CONST64(0x0000400000000000), CONST64(0x0000401000000000), CONST64(0x0000400040000000), CONST64(0x0000401040000000), + CONST64(0x0000400000400000), CONST64(0x0000401000400000), CONST64(0x0000400040400000), CONST64(0x0000401040400000), + CONST64(0x0000400000004000), CONST64(0x0000401000004000), CONST64(0x0000400040004000), CONST64(0x0000401040004000), + CONST64(0x0000400000404000), CONST64(0x0000401000404000), CONST64(0x0000400040404000), CONST64(0x0000401040404000), + CONST64(0x0000400000000040), CONST64(0x0000401000000040), CONST64(0x0000400040000040), CONST64(0x0000401040000040), + CONST64(0x0000400000400040), CONST64(0x0000401000400040), CONST64(0x0000400040400040), CONST64(0x0000401040400040), + CONST64(0x0000400000004040), CONST64(0x0000401000004040), CONST64(0x0000400040004040), CONST64(0x0000401040004040), + CONST64(0x0000400000404040), CONST64(0x0000401000404040), CONST64(0x0000400040404040), CONST64(0x0000401040404040), + CONST64(0x4000400000000000), CONST64(0x4000401000000000), CONST64(0x4000400040000000), CONST64(0x4000401040000000), + CONST64(0x4000400000400000), CONST64(0x4000401000400000), CONST64(0x4000400040400000), CONST64(0x4000401040400000), + CONST64(0x4000400000004000), CONST64(0x4000401000004000), CONST64(0x4000400040004000), CONST64(0x4000401040004000), + CONST64(0x4000400000404000), CONST64(0x4000401000404000), CONST64(0x4000400040404000), CONST64(0x4000401040404000), + CONST64(0x4000400000000040), CONST64(0x4000401000000040), CONST64(0x4000400040000040), CONST64(0x4000401040000040), + CONST64(0x4000400000400040), CONST64(0x4000401000400040), CONST64(0x4000400040400040), CONST64(0x4000401040400040), + CONST64(0x4000400000004040), CONST64(0x4000401000004040), CONST64(0x4000400040004040), CONST64(0x4000401040004040), + CONST64(0x4000400000404040), CONST64(0x4000401000404040), CONST64(0x4000400040404040), CONST64(0x4000401040404040), + CONST64(0x0040400000000000), CONST64(0x0040401000000000), CONST64(0x0040400040000000), CONST64(0x0040401040000000), + CONST64(0x0040400000400000), CONST64(0x0040401000400000), CONST64(0x0040400040400000), CONST64(0x0040401040400000), + CONST64(0x0040400000004000), CONST64(0x0040401000004000), CONST64(0x0040400040004000), CONST64(0x0040401040004000), + CONST64(0x0040400000404000), CONST64(0x0040401000404000), CONST64(0x0040400040404000), CONST64(0x0040401040404000), + CONST64(0x0040400000000040), CONST64(0x0040401000000040), CONST64(0x0040400040000040), CONST64(0x0040401040000040), + CONST64(0x0040400000400040), CONST64(0x0040401000400040), CONST64(0x0040400040400040), CONST64(0x0040401040400040), + CONST64(0x0040400000004040), CONST64(0x0040401000004040), CONST64(0x0040400040004040), CONST64(0x0040401040004040), + CONST64(0x0040400000404040), CONST64(0x0040401000404040), CONST64(0x0040400040404040), CONST64(0x0040401040404040), + CONST64(0x4040400000000000), CONST64(0x4040401000000000), CONST64(0x4040400040000000), CONST64(0x4040401040000000), + CONST64(0x4040400000400000), CONST64(0x4040401000400000), CONST64(0x4040400040400000), CONST64(0x4040401040400000), + CONST64(0x4040400000004000), CONST64(0x4040401000004000), CONST64(0x4040400040004000), CONST64(0x4040401040004000), + CONST64(0x4040400000404000), CONST64(0x4040401000404000), CONST64(0x4040400040404000), CONST64(0x4040401040404000), + CONST64(0x4040400000000040), CONST64(0x4040401000000040), CONST64(0x4040400040000040), CONST64(0x4040401040000040), + CONST64(0x4040400000400040), CONST64(0x4040401000400040), CONST64(0x4040400040400040), CONST64(0x4040401040400040), + CONST64(0x4040400000004040), CONST64(0x4040401000004040), CONST64(0x4040400040004040), CONST64(0x4040401040004040), CONST64(0x4040400000404040), CONST64(0x4040401000404040), CONST64(0x4040400040404040), CONST64(0x4040401040404040) }}; - + #endif @@ -1427,11 +1427,11 @@ static void _desfunc(ulong32 *block, const ulong32 *keys) right = ROLc(right, 1); work = (leftt ^ right) & 0xaaaaaaaaL; - + leftt ^= work; right ^= work; leftt = ROLc(leftt, 1); -#else +#else { ulong64 tmp; tmp = des_ip[0][byte(leftt, 0)] ^ @@ -1450,9 +1450,9 @@ static void _desfunc(ulong32 *block, const ulong32 *keys) for (cur_round = 0; cur_round < 8; cur_round++) { work = RORc(right, 4) ^ *keys++; leftt ^= SP7[work & 0x3fL] - ^ SP5[(work >> 8) & 0x3fL] - ^ SP3[(work >> 16) & 0x3fL] - ^ SP1[(work >> 24) & 0x3fL]; + ^ SP5[(work >> 8) & 0x3fL] + ^ SP3[(work >> 16) & 0x3fL] + ^ SP1[(work >> 24) & 0x3fL]; work = right ^ *keys++; leftt ^= SP8[ work & 0x3fL] ^ SP6[(work >> 8) & 0x3fL] @@ -1471,7 +1471,7 @@ static void _desfunc(ulong32 *block, const ulong32 *keys) ^ SP2[(work >> 24) & 0x3fL]; } -#ifdef LTC_SMALL_CODE +#ifdef LTC_SMALL_CODE right = RORc(right, 1); work = (leftt ^ right) & 0xaaaaaaaaL; leftt ^= work; @@ -1490,7 +1490,7 @@ static void _desfunc(ulong32 *block, const ulong32 *keys) work = ((right >> 4) ^ leftt) & 0x0f0f0f0fL; leftt ^= work; right ^= (work << 4); -#else +#else { ulong64 tmp; tmp = des_fp[0][byte(leftt, 0)] ^ @@ -1505,7 +1505,7 @@ static void _desfunc(ulong32 *block, const ulong32 *keys) right = (ulong32)(tmp & 0xFFFFFFFFUL); } #endif - + block[0] = right; block[1] = leftt; } @@ -1571,7 +1571,7 @@ int des3_setup(const unsigned char *key, int keylen, int num_rounds, symmetric_k deskey(key, EN0, skey->des3.ek[0]); deskey(key+8, DE1, skey->des3.ek[1]); if (keylen == 24) { - deskey(key+16, EN0, skey->des3.ek[2]); + deskey(key+16, EN0, skey->des3.ek[2]); } else { /* two-key 3DES: K3=K1 */ deskey(key, EN0, skey->des3.ek[2]); @@ -1580,7 +1580,7 @@ int des3_setup(const unsigned char *key, int keylen, int num_rounds, symmetric_k deskey(key, DE1, skey->des3.dk[2]); deskey(key+8, EN0, skey->des3.dk[1]); if (keylen == 24) { - deskey(key+16, DE1, skey->des3.dk[0]); + deskey(key+16, DE1, skey->des3.dk[0]); } else { /* two-key 3DES: K3=K1 */ deskey(key, DE1, skey->des3.dk[0]); @@ -1615,7 +1615,7 @@ int des_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_key *s Decrypts a block of text with LTC_DES @param ct The input ciphertext (8 bytes) @param pt The output plaintext (8 bytes) - @param skey The key as scheduled + @param skey The key as scheduled @return CRYPT_OK if successful */ int des_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) @@ -1628,7 +1628,7 @@ int des_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_key *s LOAD32H(work[1], ct+4); desfunc(work, skey->des.dk); STORE32H(work[0],pt+0); - STORE32H(work[1],pt+4); + STORE32H(work[1],pt+4); return CRYPT_OK; } #endif @@ -1643,7 +1643,7 @@ int des_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_key *s int des3_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) { ulong32 work[2]; - + LTC_ARGCHK(pt != NULL); LTC_ARGCHK(ct != NULL); LTC_ARGCHK(skey != NULL); @@ -1661,7 +1661,7 @@ int des3_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_key * Decrypts a block of text with 3LTC_DES-EDE @param ct The input ciphertext (8 bytes) @param pt The output plaintext (8 bytes) - @param skey The key as scheduled + @param skey The key as scheduled @return CRYPT_OK if successful */ int des3_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) @@ -1689,7 +1689,7 @@ int des_test(void) { #ifndef LTC_TEST return CRYPT_NOP; - #else + #else int err; static const struct des_test_case { int num, mode; /* mode 1 = encrypt */ @@ -1720,7 +1720,7 @@ int des_test(void) { 0x6C, 0xC5, 0xDE, 0xFA, 0xAF, 0x04, 0x51, 0x2F }, { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } }, { 9, 1, { 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01 }, - { 0x0D, 0x9F, 0x27, 0x9B, 0xA5, 0xD8, 0x72, 0x60 }, + { 0x0D, 0x9F, 0x27, 0x9B, 0xA5, 0xD8, 0x72, 0x60 }, { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } }, {10, 1, { 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01 }, { 0xD9, 0x03, 0x1B, 0x02, 0x71, 0xBD, 0x5A, 0x0A }, @@ -1752,7 +1752,7 @@ int des_test(void) { 0x6C, 0xC5, 0xDE, 0xFA, 0xAF, 0x04, 0x51, 0x2F } }, { 9, 0, { 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01 }, { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, - { 0x0D, 0x9F, 0x27, 0x9B, 0xA5, 0xD8, 0x72, 0x60 } }, + { 0x0D, 0x9F, 0x27, 0x9B, 0xA5, 0xD8, 0x72, 0x60 } }, {10, 0, { 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01 }, { 0x00, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, { 0xD9, 0x03, 0x1B, 0x02, 0x71, 0xBD, 0x5A, 0x0A } }, @@ -1978,7 +1978,7 @@ int des_test(void) if ((err = des_setup(cases[i].key, 8, 0, &des)) != CRYPT_OK) { return err; } - if (cases[i].mode != 0) { + if (cases[i].mode != 0) { des_ecb_encrypt(cases[i].txt, tmp, &des); } else { des_ecb_decrypt(cases[i].txt, tmp, &des); @@ -1988,11 +1988,11 @@ int des_test(void) return CRYPT_FAIL_TESTVECTOR; } - /* now see if we can encrypt all zero bytes 1000 times, decrypt and come back where we started */ - for (y = 0; y < 8; y++) tmp[y] = 0; - for (y = 0; y < 1000; y++) des_ecb_encrypt(tmp, tmp, &des); - for (y = 0; y < 1000; y++) des_ecb_decrypt(tmp, tmp, &des); - for (y = 0; y < 8; y++) if (tmp[y] != 0) return CRYPT_FAIL_TESTVECTOR; + /* now see if we can encrypt all zero bytes 1000 times, decrypt and come back where we started */ + for (y = 0; y < 8; y++) tmp[y] = 0; + for (y = 0; y < 1000; y++) des_ecb_encrypt(tmp, tmp, &des); + for (y = 0; y < 1000; y++) des_ecb_decrypt(tmp, tmp, &des); + for (y = 0; y < 8; y++) if (tmp[y] != 0) return CRYPT_FAIL_TESTVECTOR; } return CRYPT_OK; @@ -2004,7 +2004,7 @@ int des3_test(void) { #ifndef LTC_TEST return CRYPT_NOP; - #else + #else unsigned char key[24], pt[8], ct[8], tmp[8]; symmetric_key skey; int x, err; @@ -2016,7 +2016,7 @@ int des3_test(void) for (x = 0; x < 8; x++) { pt[x] = x; } - + for (x = 0; x < 24; x++) { key[x] = x; } @@ -2024,20 +2024,20 @@ int des3_test(void) if ((err = des3_setup(key, 24, 0, &skey)) != CRYPT_OK) { return err; } - + des3_ecb_encrypt(pt, ct, &skey); des3_ecb_decrypt(ct, tmp, &skey); - + if (compare_testvector(pt, 8, tmp, 8, "3DES", 0) != 0) { return CRYPT_FAIL_TESTVECTOR; } - + return CRYPT_OK; #endif } #if 0 -/** Terminate the context +/** Terminate the context @param skey The scheduled key */ void des_done(symmetric_key *skey) @@ -2046,7 +2046,7 @@ void des_done(symmetric_key *skey) } #endif -/** Terminate the context +/** Terminate the context @param skey The scheduled key */ void des3_done(symmetric_key *skey) diff --git a/libtomcrypt/src/ciphers/twofish/twofish.c b/libtomcrypt/src/ciphers/twofish/twofish.c index 5331f91..b1584d1 100644 --- a/libtomcrypt/src/ciphers/twofish/twofish.c +++ b/libtomcrypt/src/ciphers/twofish/twofish.c @@ -7,9 +7,9 @@ * guarantee it works. */ - /** + /** @file twofish.c - Implementation of Twofish by Tom St Denis + Implementation of Twofish by Tom St Denis */ #include "tomcrypt.h" @@ -145,14 +145,14 @@ static ulong32 gf_mult(ulong32 a, ulong32 b, ulong32 p) result = P[0] = B[0] = 0; /* unrolled branchless GF multiplier */ - result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); - result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); - result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); - result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); - result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); - result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); - result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); - result ^= B[a&1]; + result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); + result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); + result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); + result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); + result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); + result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); + result ^= B[a&1]; a >>= 1; B[1] = P[B[1]>>7] ^ (B[1] << 1); + result ^= B[a&1]; return result; } @@ -243,7 +243,7 @@ static void h_func(const unsigned char *in, unsigned char *out, unsigned char *M unsigned char y[4]; for (x = 0; x < 4; x++) { y[x] = in[x]; - } + } switch (k) { case 4: y[0] = (unsigned char)(sbox(1, (ulong32)y[0]) ^ M[4 * (6 + offset) + 0]); @@ -439,7 +439,7 @@ int twofish_setup(const unsigned char *key, int keylen, int num_rounds, symmetri /* small ram variant */ switch (k) { case 4 : skey->twofish.start = 0; break; - case 3 : skey->twofish.start = 1; break; + case 3 : skey->twofish.start = 1; break; default: skey->twofish.start = 2; break; } #endif @@ -473,18 +473,18 @@ int twofish_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_ke int r; #if !defined(LTC_TWOFISH_SMALL) && !defined(__GNUC__) ulong32 *S1, *S2, *S3, *S4; -#endif +#endif LTC_ARGCHK(pt != NULL); LTC_ARGCHK(ct != NULL); LTC_ARGCHK(skey != NULL); - + #if !defined(LTC_TWOFISH_SMALL) && !defined(__GNUC__) S1 = skey->twofish.S[0]; S2 = skey->twofish.S[1]; S3 = skey->twofish.S[2]; S4 = skey->twofish.S[3]; -#endif +#endif LOAD32L(a,&pt[0]); LOAD32L(b,&pt[4]); LOAD32L(c,&pt[8]); LOAD32L(d,&pt[12]); @@ -492,20 +492,20 @@ int twofish_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_ke b ^= skey->twofish.K[1]; c ^= skey->twofish.K[2]; d ^= skey->twofish.K[3]; - + k = skey->twofish.K + 8; for (r = 8; r != 0; --r) { t2 = g1_func(b, skey); t1 = g_func(a, skey) + t2; c = RORc(c ^ (t1 + k[0]), 1); d = ROLc(d, 1) ^ (t2 + t1 + k[1]); - + t2 = g1_func(d, skey); t1 = g_func(c, skey) + t2; a = RORc(a ^ (t1 + k[2]), 1); b = ROLc(b, 1) ^ (t2 + t1 + k[3]); k += 4; - } + } /* output with "undo last swap" */ ta = c ^ skey->twofish.K[4]; @@ -533,7 +533,7 @@ int twofish_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_ke Decrypts a block of text with Twofish @param ct The input ciphertext (16 bytes) @param pt The output plaintext (16 bytes) - @param skey The key as scheduled + @param skey The key as scheduled @return CRYPT_OK if successful */ #ifdef LTC_CLEAN_STACK @@ -546,18 +546,18 @@ int twofish_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_ke int r; #if !defined(LTC_TWOFISH_SMALL) && !defined(__GNUC__) ulong32 *S1, *S2, *S3, *S4; -#endif +#endif LTC_ARGCHK(pt != NULL); LTC_ARGCHK(ct != NULL); LTC_ARGCHK(skey != NULL); - + #if !defined(LTC_TWOFISH_SMALL) && !defined(__GNUC__) S1 = skey->twofish.S[0]; S2 = skey->twofish.S[1]; S3 = skey->twofish.S[2]; S4 = skey->twofish.S[3]; -#endif +#endif /* load input */ LOAD32L(ta,&ct[0]); LOAD32L(tb,&ct[4]); @@ -588,7 +588,7 @@ int twofish_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_ke b ^= skey->twofish.K[1]; c ^= skey->twofish.K[2]; d ^= skey->twofish.K[3]; - + /* store */ STORE32L(a, &pt[0]); STORE32L(b, &pt[4]); STORE32L(c, &pt[8]); STORE32L(d, &pt[12]); @@ -612,8 +612,8 @@ int twofish_test(void) { #ifndef LTC_TEST return CRYPT_NOP; - #else - static const struct { + #else + static const struct { int keylen; unsigned char key[32], pt[16], ct[16]; } tests[] = { @@ -633,7 +633,7 @@ int twofish_test(void) 0x85, 0xB6, 0xDC, 0x07, 0x3C, 0xA3, 0x41, 0xB2 }, { 0x18, 0x2B, 0x02, 0xD8, 0x14, 0x97, 0xEA, 0x45, 0xF9, 0xDA, 0xAC, 0xDC, 0x29, 0x19, 0x3A, 0x65 } - }, { + }, { 32, { 0xD4, 0x3B, 0xB7, 0x55, 0x6E, 0xA3, 0x2E, 0x46, 0xF2, 0xA2, 0x82, 0xB7, 0xD4, 0x5B, 0x4E, 0x0D, @@ -647,11 +647,11 @@ int twofish_test(void) }; - symmetric_key key; - unsigned char tmp[2][16]; - int err, i, y; - - for (i = 0; i < (int)(sizeof(tests)/sizeof(tests[0])); i++) { + symmetric_key key; + unsigned char tmp[2][16]; + int err, i, y; + + for (i = 0; i < (int)(sizeof(tests)/sizeof(tests[0])); i++) { if ((err = twofish_setup(tests[i].key, tests[i].keylen, 0, &key)) != CRYPT_OK) { return err; } @@ -661,17 +661,17 @@ int twofish_test(void) compare_testvector(tmp[1], 16, tests[i].pt, 16, "Twofish Decrypt", i) != 0) { return CRYPT_FAIL_TESTVECTOR; } - /* now see if we can encrypt all zero bytes 1000 times, decrypt and come back where we started */ - for (y = 0; y < 16; y++) tmp[0][y] = 0; - for (y = 0; y < 1000; y++) twofish_ecb_encrypt(tmp[0], tmp[0], &key); - for (y = 0; y < 1000; y++) twofish_ecb_decrypt(tmp[0], tmp[0], &key); - for (y = 0; y < 16; y++) if (tmp[0][y] != 0) return CRYPT_FAIL_TESTVECTOR; - } - return CRYPT_OK; -#endif + /* now see if we can encrypt all zero bytes 1000 times, decrypt and come back where we started */ + for (y = 0; y < 16; y++) tmp[0][y] = 0; + for (y = 0; y < 1000; y++) twofish_ecb_encrypt(tmp[0], tmp[0], &key); + for (y = 0; y < 1000; y++) twofish_ecb_decrypt(tmp[0], tmp[0], &key); + for (y = 0; y < 16; y++) if (tmp[0][y] != 0) return CRYPT_FAIL_TESTVECTOR; + } + return CRYPT_OK; +#endif } -/** Terminate the context +/** Terminate the context @param skey The scheduled key */ void twofish_done(symmetric_key *skey) diff --git a/libtomcrypt/src/hashes/helper/hash_file.c b/libtomcrypt/src/hashes/helper/hash_file.c index b3e79d9..0b96eae 100644 --- a/libtomcrypt/src/hashes/helper/hash_file.c +++ b/libtomcrypt/src/hashes/helper/hash_file.c @@ -9,7 +9,7 @@ #include "tomcrypt.h" #ifndef LTC_NO_FILE -/** +/** @file hash_file.c Hash a file, Tom St Denis */ @@ -34,7 +34,7 @@ int hash_file(int hash, const char *fname, unsigned char *out, unsigned long *ou } in = fopen(fname, "rb"); - if (in == NULL) { + if (in == NULL) { return CRYPT_FILE_NOTFOUND; } diff --git a/libtomcrypt/src/hashes/helper/hash_filehandle.c b/libtomcrypt/src/hashes/helper/hash_filehandle.c index 1d72f25..0e4d7a6 100644 --- a/libtomcrypt/src/hashes/helper/hash_filehandle.c +++ b/libtomcrypt/src/hashes/helper/hash_filehandle.c @@ -14,13 +14,13 @@ Hash open files, Tom St Denis */ -/** - Hash data from an open file handle. +/** + Hash data from an open file handle. @param hash The index of the hash you want to use @param in The FILE* handle of the file you want to hash @param out [out] The destination of the digest @param outlen [in/out] The max size and resulting size of the digest - @result CRYPT_OK if successful + @result CRYPT_OK if successful */ int hash_filehandle(int hash, FILE *in, unsigned char *out, unsigned long *outlen) { @@ -57,8 +57,8 @@ int hash_filehandle(int hash, FILE *in, unsigned char *out, unsigned long *outle } } while (x == LTC_FILE_READ_BUFSIZE); if ((err = hash_descriptor[hash].done(&md, out)) == CRYPT_OK) { - *outlen = hash_descriptor[hash].hashsize; - } + *outlen = hash_descriptor[hash].hashsize; + } LBL_CLEANBUF: zeromem(buf, LTC_FILE_READ_BUFSIZE); diff --git a/libtomcrypt/src/headers/tomcrypt_argchk.h b/libtomcrypt/src/headers/tomcrypt_argchk.h index 3994aa2..8bd3653 100644 --- a/libtomcrypt/src/headers/tomcrypt_argchk.h +++ b/libtomcrypt/src/headers/tomcrypt_argchk.h @@ -45,7 +45,7 @@ void crypt_argchk(const char *v, const char *s, int d) NORETURN; #elif ARGTYPE == 3 -#define LTC_ARGCHK(x) +#define LTC_ARGCHK(x) #define LTC_ARGCHKVD(x) LTC_ARGCHK(x) #elif ARGTYPE == 4 diff --git a/libtomcrypt/src/headers/tomcrypt_custom.h b/libtomcrypt/src/headers/tomcrypt_custom.h index f2351da..4547cd8 100644 --- a/libtomcrypt/src/headers/tomcrypt_custom.h +++ b/libtomcrypt/src/headers/tomcrypt_custom.h @@ -74,8 +74,8 @@ #define LTC_NO_MODES #define LTC_NO_HASHES #define LTC_NO_MACS - #define LTC_NO_PRNGS - #define LTC_NO_PK + #define LTC_NO_PRNGS + #define LTC_NO_PK #define LTC_NO_PKCS #define LTC_NO_MISC #endif /* LTC_NOTHING */ diff --git a/libtomcrypt/src/mac/hmac/hmac_init.c b/libtomcrypt/src/mac/hmac/hmac_init.c index 57eca7b..c8b6a2e 100644 --- a/libtomcrypt/src/mac/hmac/hmac_init.c +++ b/libtomcrypt/src/mac/hmac/hmac_init.c @@ -20,7 +20,7 @@ /** Initialize an HMAC context. @param hmac The HMAC state - @param hash The index of the hash you want to use + @param hash The index of the hash you want to use @param key The secret key @param keylen The length of the secret key (octets) @return CRYPT_OK if successful @@ -64,9 +64,9 @@ int hmac_init(hmac_state *hmac, int hash, const unsigned char *key, unsigned lon XMEMCPY(hmac->key, key, (size_t)keylen); } - if(keylen < LTC_HMAC_BLOCKSIZE) { - zeromem((hmac->key) + keylen, (size_t)(LTC_HMAC_BLOCKSIZE - keylen)); - } + if(keylen < LTC_HMAC_BLOCKSIZE) { + zeromem((hmac->key) + keylen, (size_t)(LTC_HMAC_BLOCKSIZE - keylen)); + } /* Create the initialization vector for step (3) */ for(i=0; i < LTC_HMAC_BLOCKSIZE; i++) { @@ -89,8 +89,8 @@ done: #ifdef LTC_CLEAN_STACK zeromem(buf, LTC_HMAC_BLOCKSIZE); #endif - - return err; + + return err; } #endif diff --git a/libtomcrypt/src/pk/ecc/ecc_sign_hash.c b/libtomcrypt/src/pk/ecc/ecc_sign_hash.c index d285dac..5f6f57f 100644 --- a/libtomcrypt/src/pk/ecc/ecc_sign_hash.c +++ b/libtomcrypt/src/pk/ecc/ecc_sign_hash.c @@ -14,10 +14,10 @@ /** @file ecc_sign_hash.c ECC Crypto, Tom St Denis -*/ +*/ static int _ecc_sign_hash(const unsigned char *in, unsigned long inlen, - unsigned char *out, unsigned long *outlen, + unsigned char *out, unsigned long *outlen, prng_state *prng, int wprng, ecc_key *key, int sigformat) { ecc_key pubkey; @@ -35,21 +35,21 @@ static int _ecc_sign_hash(const unsigned char *in, unsigned long inlen, if (key->type != PK_PRIVATE) { return CRYPT_PK_NOT_PRIVATE; } - + /* is the IDX valid ? */ if (ltc_ecc_is_valid_idx(key->idx) != 1) { return CRYPT_PK_INVALID_TYPE; } - + if ((err = prng_is_valid(wprng)) != CRYPT_OK) { return err; } /* init the bignums */ - if ((err = mp_init_multi(&r, &s, &p, &e, NULL)) != CRYPT_OK) { + if ((err = mp_init_multi(&r, &s, &p, &e, NULL)) != CRYPT_OK) { return err; } - if ((err = mp_read_radix(p, (char *)key->dp->order, 16)) != CRYPT_OK) { goto errnokey; } + if ((err = mp_read_radix(p, (char *)key->dp->order, 16)) != CRYPT_OK) { goto errnokey; } /* get the hash and load it as a bignum into 'e' */ pbits = mp_count_bits(p); @@ -77,21 +77,21 @@ static int _ecc_sign_hash(const unsigned char *in, unsigned long inlen, } /* find r = x1 mod n */ - if ((err = mp_mod(pubkey.pubkey.x, p, r)) != CRYPT_OK) { goto error; } + if ((err = mp_mod(pubkey.pubkey.x, p, r)) != CRYPT_OK) { goto error; } if (mp_iszero(r) == LTC_MP_YES) { ecc_free(&pubkey); - } else { - /* find s = (e + xr)/k */ - if ((err = mp_invmod(pubkey.k, p, pubkey.k)) != CRYPT_OK) { goto error; } /* k = 1/k */ - if ((err = mp_mulmod(key->k, r, p, s)) != CRYPT_OK) { goto error; } /* s = xr */ - if ((err = mp_add(e, s, s)) != CRYPT_OK) { goto error; } /* s = e + xr */ - if ((err = mp_mod(s, p, s)) != CRYPT_OK) { goto error; } /* s = e + xr */ - if ((err = mp_mulmod(s, pubkey.k, p, s)) != CRYPT_OK) { goto error; } /* s = (e + xr)/k */ - ecc_free(&pubkey); - if (mp_iszero(s) == LTC_MP_NO) { - break; - } + } else { + /* find s = (e + xr)/k */ + if ((err = mp_invmod(pubkey.k, p, pubkey.k)) != CRYPT_OK) { goto error; } /* k = 1/k */ + if ((err = mp_mulmod(key->k, r, p, s)) != CRYPT_OK) { goto error; } /* s = xr */ + if ((err = mp_add(e, s, s)) != CRYPT_OK) { goto error; } /* s = e + xr */ + if ((err = mp_mod(s, p, s)) != CRYPT_OK) { goto error; } /* s = e + xr */ + if ((err = mp_mulmod(s, pubkey.k, p, s)) != CRYPT_OK) { goto error; } /* s = (e + xr)/k */ + ecc_free(&pubkey); + if (mp_iszero(s) == LTC_MP_NO) { + break; + } } } while (--max_iterations > 0); @@ -112,17 +112,17 @@ static int _ecc_sign_hash(const unsigned char *in, unsigned long inlen, } else { /* store as ASN.1 SEQUENCE { r, s -- integer } */ - err = der_encode_sequence_multi(out, outlen, - LTC_ASN1_INTEGER, 1UL, r, - LTC_ASN1_INTEGER, 1UL, s, - LTC_ASN1_EOL, 0UL, NULL); + err = der_encode_sequence_multi(out, outlen, + LTC_ASN1_INTEGER, 1UL, r, + LTC_ASN1_INTEGER, 1UL, s, + LTC_ASN1_EOL, 0UL, NULL); } goto errnokey; error: ecc_free(&pubkey); errnokey: mp_clear_multi(r, s, p, e, NULL); - return err; + return err; } /** diff --git a/libtomcrypt/src/pk/ecc/ecc_verify_hash.c b/libtomcrypt/src/pk/ecc/ecc_verify_hash.c index 7aa5f52..bc4f84f 100644 --- a/libtomcrypt/src/pk/ecc/ecc_verify_hash.c +++ b/libtomcrypt/src/pk/ecc/ecc_verify_hash.c @@ -14,10 +14,10 @@ /** @file ecc_verify_hash.c ECC Crypto, Tom St Denis -*/ +*/ static int _ecc_verify_hash(const unsigned char *sig, unsigned long siglen, - const unsigned char *hash, unsigned long hashlen, + const unsigned char *hash, unsigned long hashlen, int *stat, ecc_key *key, int sigformat) { ecc_point *mG, *mQ; @@ -66,9 +66,9 @@ static int _ecc_verify_hash(const unsigned char *sig, unsigned long siglen, } else { /* ASN.1 format */ - if ((err = der_decode_sequence_multi(sig, siglen, - LTC_ASN1_INTEGER, 1UL, r, - LTC_ASN1_INTEGER, 1UL, s, + if ((err = der_decode_sequence_multi(sig, siglen, + LTC_ASN1_INTEGER, 1UL, r, + LTC_ASN1_INTEGER, 1UL, s, LTC_ASN1_EOL, 0UL, NULL)) != CRYPT_OK) { goto error; } } @@ -125,13 +125,13 @@ static int _ecc_verify_hash(const unsigned char *sig, unsigned long siglen, if (ltc_mp.ecc_mul2add == NULL) { if ((err = ltc_mp.ecc_ptmul(u1, mG, mG, m, 0)) != CRYPT_OK) { goto error; } if ((err = ltc_mp.ecc_ptmul(u2, mQ, mQ, m, 0)) != CRYPT_OK) { goto error; } - + /* find the montgomery mp */ if ((err = mp_montgomery_setup(m, &mp)) != CRYPT_OK) { goto error; } /* add them */ if ((err = ltc_mp.ecc_ptadd(mQ, mG, mG, m, mp)) != CRYPT_OK) { goto error; } - + /* reduce */ if ((err = ltc_mp.ecc_map(mG, m, mp)) != CRYPT_OK) { goto error; } } else { @@ -153,7 +153,7 @@ error: ltc_ecc_del_point(mG); ltc_ecc_del_point(mQ); mp_clear_multi(r, s, v, w, u1, u2, p, e, m, NULL); - if (mp != NULL) { + if (mp != NULL) { mp_montgomery_free(mp); } return err; diff --git a/libtomcrypt/src/pk/ecc/ltc_ecc_mulmod_timing.c b/libtomcrypt/src/pk/ecc/ltc_ecc_mulmod_timing.c index ca5c9d9..ab26ede 100644 --- a/libtomcrypt/src/pk/ecc/ltc_ecc_mulmod_timing.c +++ b/libtomcrypt/src/pk/ecc/ltc_ecc_mulmod_timing.c @@ -17,7 +17,7 @@ /** @file ltc_ecc_mulmod_timing.c ECC Crypto, Tom St Denis -*/ +*/ #ifdef LTC_MECC @@ -59,8 +59,8 @@ int ltc_ecc_mulmod(void *k, ecc_point *G, ecc_point *R, void *modulus, int map) return err; } - /* alloc ram for window temps */ - for (i = 0; i < 3; i++) { + /* alloc ram for window temps */ + for (i = 0; i < 3; i++) { M[i] = ltc_ecc_new_point(); if (M[i] == NULL) { for (j = 0; j < i; j++) { @@ -70,7 +70,7 @@ int ltc_ecc_mulmod(void *k, ecc_point *G, ecc_point *R, void *modulus, int map) mp_montgomery_free(mp); return CRYPT_MEM; } - } + } /* make a copy of G incase R==G */ tG = ltc_ecc_new_point(); @@ -82,7 +82,7 @@ int ltc_ecc_mulmod(void *k, ecc_point *G, ecc_point *R, void *modulus, int map) if ((err = mp_mulmod(G->z, mu, modulus, tG->z)) != CRYPT_OK) { goto done; } mp_clear(mu); mu = NULL; - + /* calc the M tab */ /* M[0] == G */ if ((err = mp_copy(tG->x, M[0]->x)) != CRYPT_OK) { goto done; } -- cgit v1.2.3 From 4b305c5721f68e39320ca2e15b03a411da2305f1 Mon Sep 17 00:00:00 2001 From: Matt Johnston Date: Wed, 10 Jun 2020 23:16:13 +0800 Subject: Merge libtomcrypt v1.18.2 --- libtomcrypt/changes | 13 +++ libtomcrypt/demos/constants.c | 3 +- libtomcrypt/demos/sizes.c | 6 +- libtomcrypt/demos/timing.c | 2 +- libtomcrypt/demos/tv_gen.c | 2 +- libtomcrypt/doc/Doxyfile | 2 +- libtomcrypt/doc/crypt.tex | 6 +- libtomcrypt/makefile.mingw | 2 +- libtomcrypt/makefile.msvc | 2 +- libtomcrypt/makefile.shared | 18 ++--- libtomcrypt/makefile.unix | 2 +- libtomcrypt/makefile_include.mk | 31 ++++++-- libtomcrypt/notes/cipher_tv.txt | 52 ++++++++++++ libtomcrypt/src/ciphers/aes/aes_tab.c | 4 +- libtomcrypt/src/ciphers/des.c | 9 ++- libtomcrypt/src/encauth/ccm/ccm_memory.c | 2 +- libtomcrypt/src/headers/tomcrypt.h | 7 +- libtomcrypt/src/headers/tomcrypt_custom.h | 7 ++ libtomcrypt/src/headers/tomcrypt_dropbear.h | 3 + libtomcrypt/src/headers/tomcrypt_pk.h | 16 ++-- libtomcrypt/src/mac/blake2/blake2bmac_file.c | 5 ++ libtomcrypt/src/mac/blake2/blake2smac_file.c | 5 ++ libtomcrypt/src/mac/f9/f9_file.c | 6 ++ libtomcrypt/src/mac/hmac/hmac_file.c | 7 +- libtomcrypt/src/mac/omac/omac_file.c | 6 ++ libtomcrypt/src/mac/pmac/pmac_file.c | 6 ++ libtomcrypt/src/mac/poly1305/poly1305_file.c | 5 ++ libtomcrypt/src/mac/xcbc/xcbc_file.c | 6 ++ libtomcrypt/src/math/multi.c | 1 - libtomcrypt/src/math/rand_bn.c | 2 +- libtomcrypt/src/misc/crypt/crypt.c | 1 + libtomcrypt/src/misc/crypt/crypt_constants.c | 29 +++---- libtomcrypt/src/misc/crypt/crypt_sizes.c | 24 ++---- libtomcrypt/src/modes/ctr/ctr_encrypt.c | 93 ++++++++++++++-------- .../asn1/der/sequence/der_decode_sequence_flexi.c | 15 +++- .../sequence/der_decode_subject_public_key_info.c | 2 +- libtomcrypt/src/pk/dsa/dsa_export.c | 2 +- libtomcrypt/src/pk/dsa/dsa_generate_pqg.c | 4 +- libtomcrypt/src/pk/ecc/ecc_sign_hash.c | 17 ++-- libtomcrypt/src/pk/rsa/rsa_export.c | 2 +- libtomcrypt/src/pk/rsa/rsa_import_pkcs8.c | 2 +- libtomcrypt/src/prngs/fortuna.c | 72 ++++++++++++++--- libtomcrypt/src/prngs/sober128.c | 2 +- libtomcrypt/tests/common.h | 2 + libtomcrypt/tests/der_test.c | 21 +++++ 45 files changed, 388 insertions(+), 138 deletions(-) (limited to 'libtomcrypt/src') diff --git a/libtomcrypt/changes b/libtomcrypt/changes index b43c1fd..dc56d08 100644 --- a/libtomcrypt/changes +++ b/libtomcrypt/changes @@ -1,3 +1,16 @@ +July 1st, 2018 +v1.18.2 + -- Fix Side Channel Based ECDSA Key Extraction (CVE-2018-12437) (PR #408) + -- Fix potential stack overflow when DER flexi-decoding (CVE-2018-0739) (PR #373) + -- Fix two-key 3DES (PR #390) + -- Fix accelerated CTR mode (PR #359) + -- Fix Fortuna PRNG (PR #363) + -- Fix compilation on platforms where cc doesn't point to gcc (PR #382) + -- Fix using the wrong environment variable LT instead of LIBTOOL (PR #392) + -- Fix build on platforms where the compiler provides __WCHAR_MAX__ but wchar.h is not available (PR #390) + -- Fix & re-factor crypt_list_all_sizes() and crypt_list_all_constants() (PR #414) + -- Minor fixes (PR's #350 #351 #375 #377 #378 #379) + January 22nd, 2018 v1.18.1 -- Fix wrong SHA3 blocksizes, thanks to Claus Fischer for reporting this via Mail (PR #329) diff --git a/libtomcrypt/demos/constants.c b/libtomcrypt/demos/constants.c index f747eb5..50485ad 100644 --- a/libtomcrypt/demos/constants.c +++ b/libtomcrypt/demos/constants.c @@ -65,9 +65,10 @@ int main(int argc, char **argv) /* get and print the length of the names (and values) list */ if (crypt_list_all_constants(NULL, &names_list_len) != 0) exit(EXIT_FAILURE); /* get and print the names (and values) list */ - names_list = malloc(names_list_len); + if ((names_list = malloc(names_list_len)) == NULL) exit(EXIT_FAILURE); if (crypt_list_all_constants(names_list, &names_list_len) != 0) exit(EXIT_FAILURE); printf("%s\n", names_list); + free(names_list); } } else if (argc == 3) { if (strcmp(argv[1], "-s") == 0) { diff --git a/libtomcrypt/demos/sizes.c b/libtomcrypt/demos/sizes.c index 54d1979..c939b71 100644 --- a/libtomcrypt/demos/sizes.c +++ b/libtomcrypt/demos/sizes.c @@ -42,9 +42,10 @@ int main(int argc, char **argv) printf(" need to allocate %u bytes \n\n", sizes_list_len); /* get and print the names (and sizes) list */ - sizes_list = malloc(sizes_list_len); + if ((sizes_list = malloc(sizes_list_len)) == NULL) exit(EXIT_FAILURE); if (crypt_list_all_sizes(sizes_list, &sizes_list_len) != 0) exit(EXIT_FAILURE); printf(" supported sizes:\n\n%s\n\n", sizes_list); + free(sizes_list); } else if (argc == 2) { if (strcmp(argv[1], "-h") == 0 || strcmp(argv[1], "--help") == 0) { char* base = strdup(basename(argv[0])); @@ -60,9 +61,10 @@ int main(int argc, char **argv) /* get and print the length of the names (and sizes) list */ if (crypt_list_all_sizes(NULL, &sizes_list_len) != 0) exit(EXIT_FAILURE); /* get and print the names (and sizes) list */ - sizes_list = malloc(sizes_list_len); + if ((sizes_list = malloc(sizes_list_len)) == NULL) exit(EXIT_FAILURE); if (crypt_list_all_sizes(sizes_list, &sizes_list_len) != 0) exit(EXIT_FAILURE); printf("%s\n", sizes_list); + free(sizes_list); } } else if (argc == 3) { if (strcmp(argv[1], "-s") == 0) { diff --git a/libtomcrypt/demos/timing.c b/libtomcrypt/demos/timing.c index 14a59df..8f69ed6 100644 --- a/libtomcrypt/demos/timing.c +++ b/libtomcrypt/demos/timing.c @@ -466,7 +466,7 @@ static void time_cipher_lrw(void) tally_results(1); } #else -static void time_cipher_lrw(void) { fprintf(stderr, "NO LRW\n"); return 0; } +static void time_cipher_lrw(void) { fprintf(stderr, "NO LRW\n"); } #endif diff --git a/libtomcrypt/demos/tv_gen.c b/libtomcrypt/demos/tv_gen.c index 127c114..f49c7fd 100644 --- a/libtomcrypt/demos/tv_gen.c +++ b/libtomcrypt/demos/tv_gen.c @@ -78,7 +78,7 @@ void cipher_gen(void) printf("keysize error: %s\n", error_to_string(err)); exit(EXIT_FAILURE); } - if (kl == lastkl) break; + if (kl == lastkl) continue; lastkl = kl; fprintf(out, "Key Size: %d bytes\n", kl); diff --git a/libtomcrypt/doc/Doxyfile b/libtomcrypt/doc/Doxyfile index 7b200b2..63144d8 100644 --- a/libtomcrypt/doc/Doxyfile +++ b/libtomcrypt/doc/Doxyfile @@ -38,7 +38,7 @@ PROJECT_NAME = LibTomCrypt # could be handy for archiving the generated documentation or if some version # control system is used. -PROJECT_NUMBER=1.18.1 +PROJECT_NUMBER=1.18.2 # Using the PROJECT_BRIEF tag one can provide an optional one line description # for a project that appears at the top of each page and should give viewer a diff --git a/libtomcrypt/doc/crypt.tex b/libtomcrypt/doc/crypt.tex index feab8e0..df0b848 100644 --- a/libtomcrypt/doc/crypt.tex +++ b/libtomcrypt/doc/crypt.tex @@ -3666,11 +3666,15 @@ key, and any hash that produces at least a 256--bit output. However, to make th it has been fixed to those choices. Fortuna is more secure than Yarrow in the sense that attackers who learn parts of the entropy being -added to the PRNG learn far less about the state than that of Yarrow. Without getting into to many +added to the PRNG learn far less about the state than that of Yarrow. Without getting into too many details Fortuna has the ability to recover from state determination attacks where the attacker starts to learn information from the PRNGs output about the internal state. Yarrow on the other hand, cannot recover from that problem until new entropy is added to the pool and put to use through the ready() function. +For detailed information on how the algorithm works and what you have to do to maintain the secure state +get a copy of the book\footnote{Niels Ferguson and Bruce Schneier, Practical Cryptography. ISBN 0-471-22357-3.} or +read the paper online\footnote{\url{https://www.schneier.com/academic/paperfiles/fortuna.pdf} [Accessed on 7th Dec. 2017]}. + \subsubsection{RC4} RC4 is an old stream cipher that can also double duty as a PRNG in a pinch. You key RC4 by diff --git a/libtomcrypt/makefile.mingw b/libtomcrypt/makefile.mingw index e33e2ac..8948ca9 100644 --- a/libtomcrypt/makefile.mingw +++ b/libtomcrypt/makefile.mingw @@ -27,7 +27,7 @@ EXTRALIBS = -L../libtommath -ltommath #Compilation flags LTC_CFLAGS = -Isrc/headers -Itests -DLTC_SOURCE $(CFLAGS) LTC_LDFLAGS = $(LDFLAGS) $(EXTRALIBS) -VERSION=1.18.1 +VERSION=1.18.2 #Libraries to be created LIBMAIN_S =libtomcrypt.a diff --git a/libtomcrypt/makefile.msvc b/libtomcrypt/makefile.msvc index 9911d1d..1efa11c 100644 --- a/libtomcrypt/makefile.msvc +++ b/libtomcrypt/makefile.msvc @@ -22,7 +22,7 @@ EXTRALIBS = ../libtommath/tommath.lib #Compilation flags LTC_CFLAGS = /nologo /Isrc/headers/ /Itests/ /D_CRT_SECURE_NO_WARNINGS /D_CRT_NONSTDC_NO_DEPRECATE /DLTC_SOURCE /W3 $(CFLAGS) LTC_LDFLAGS = advapi32.lib $(EXTRALIBS) -VERSION=1.18.1 +VERSION=1.18.2 #Libraries to be created (this makefile builds only static libraries) LIBMAIN_S =tomcrypt.lib diff --git a/libtomcrypt/makefile.shared b/libtomcrypt/makefile.shared index 66b9dd5..98ec2b5 100644 --- a/libtomcrypt/makefile.shared +++ b/libtomcrypt/makefile.shared @@ -16,19 +16,19 @@ PLATFORM := $(shell uname | sed -e 's/_.*//') -ifndef LT +ifndef LIBTOOL ifeq ($(PLATFORM), Darwin) - LT:=glibtool + LIBTOOL:=glibtool else - LT:=libtool + LIBTOOL:=libtool endif endif ifeq ($(PLATFORM), CYGWIN) NO_UNDEFINED:=-no-undefined endif -LTCOMPILE = $(LT) --mode=compile --tag=CC $(CC) -INSTALL_CMD = $(LT) --mode=install install -UNINSTALL_CMD = $(LT) --mode=uninstall rm +LTCOMPILE = $(LIBTOOL) --mode=compile --tag=CC $(CC) +INSTALL_CMD = $(LIBTOOL) --mode=install install +UNINSTALL_CMD = $(LIBTOOL) --mode=uninstall rm #Output filenames for various targets. ifndef LIBNAME @@ -49,15 +49,15 @@ src/ciphers/aes/aes_enc.o: src/ciphers/aes/aes.c src/ciphers/aes/aes_tab.c LOBJECTS = $(OBJECTS:.o=.lo) $(LIBNAME): $(OBJECTS) - $(LT) --mode=link --tag=CC $(CC) $(LTC_CFLAGS) $(CPPFLAGS) $(LTC_LDFLAGS) $(LOBJECTS) $(EXTRALIBS) -o $@ -rpath $(LIBPATH) -version-info $(VERSION_LT) $(NO_UNDEFINED) + $(LIBTOOL) --mode=link --tag=CC $(CC) $(LTC_LDFLAGS) $(LOBJECTS) $(EXTRALIBS) -o $@ -rpath $(LIBPATH) -version-info $(VERSION_LT) $(NO_UNDEFINED) test: $(call print-help,test,Builds the library and the 'test' application to run all self-tests) $(LIBNAME) $(TOBJECTS) - $(LT) --mode=link --tag=CC $(CC) $(LTC_CFLAGS) $(CPPFLAGS) $(LTC_LDFLAGS) -o $(TEST) $(TOBJECTS) $(LIBNAME) $(EXTRALIBS) + $(LIBTOOL) --mode=link --tag=CC $(CC) $(LTC_LDFLAGS) -o $(TEST) $(TOBJECTS) $(LIBNAME) $(EXTRALIBS) # build the demos from a template define DEMO_template $(1): $(call print-help,$(1),Builds the library and the '$(1)' demo) demos/$(1).o $$(LIBNAME) - $$(LT) --mode=link --tag=CC $$(CC) $$(LTC_CFLAGS) $$(CPPFLAGS) $$(LTC_LDFLAGS) $$^ $$(EXTRALIBS) -o $(1) + $$(LIBTOOL) --mode=link --tag=CC $$(CC) $$(LTC_LDFLAGS) $$^ $$(EXTRALIBS) -o $(1) endef $(foreach demo, $(strip $(DEMOS)), $(eval $(call DEMO_template,$(demo)))) diff --git a/libtomcrypt/makefile.unix b/libtomcrypt/makefile.unix index 5e4ef5c..939f4ea 100644 --- a/libtomcrypt/makefile.unix +++ b/libtomcrypt/makefile.unix @@ -39,7 +39,7 @@ EXTRALIBS = ../libtommath/libtommath.a #Compilation flags LTC_CFLAGS = -Isrc/headers -Itests -DLTC_SOURCE $(CFLAGS) LTC_LDFLAGS = $(LDFLAGS) $(EXTRALIBS) -VERSION=1.18.1 +VERSION=1.18.2 #Libraries to be created (this makefile builds only static libraries) LIBMAIN_S =libtomcrypt.a diff --git a/libtomcrypt/makefile_include.mk b/libtomcrypt/makefile_include.mk index 7d61999..a48eefe 100644 --- a/libtomcrypt/makefile_include.mk +++ b/libtomcrypt/makefile_include.mk @@ -3,8 +3,8 @@ # (GNU make only) # The version - BEWARE: VERSION, VERSION_PC and VERSION_LT are updated via ./updatemakes.sh -VERSION=1.18.1 -VERSION_PC=1.18.1 +VERSION=1.18.2 +VERSION_PC=1.18.2 # http://www.gnu.org/software/libtool/manual/html_node/Updating-version-info.html VERSION_LT=1:1 @@ -13,9 +13,23 @@ ifndef CROSS_COMPILE CROSS_COMPILE:= endif -ifeq ($(CC),cc) - CC := $(CROSS_COMPILE)gcc +# We only need to go through this dance of determining the right compiler if we're using +# cross compilation, otherwise $(CC) is fine as-is. +ifneq (,$(CROSS_COMPILE)) +ifeq ($(origin CC),default) +CSTR := "\#ifdef __clang__\nCLANG\n\#endif\n" +ifeq ($(PLATFORM),FreeBSD) + # XXX: FreeBSD needs extra escaping for some reason + CSTR := $$$(CSTR) endif +ifneq (,$(shell echo $(CSTR) | $(CC) -E - | grep CLANG)) + CC := $(CROSS_COMPILE)clang +else + CC := $(CROSS_COMPILE)gcc +endif # Clang +endif # cc is Make's default +endif # CROSS_COMPILE non-empty + LD:=$(CROSS_COMPILE)ld AR:=$(CROSS_COMPILE)ar @@ -24,7 +38,12 @@ AR:=$(CROSS_COMPILE)ar ARFLAGS:=r ifndef MAKE - MAKE:=make +# BSDs refer to GNU Make as gmake +ifneq (,$(findstring $(PLATFORM),FreeBSD OpenBSD DragonFly NetBSD)) + MAKE=gmake +else + MAKE=make +endif endif ifndef INSTALL_CMD @@ -389,7 +408,7 @@ doc/crypt.pdf: $(call print-help,doc/crypt.pdf,Builds the Developer Manual) $(MAKE) -C doc/ crypt.pdf V=$(V) -install_all: $(call print-help,install_all,Install everything - library bins docs tests) install install_bins install_docs install_test +install_all: $(call print-help,install_all,Install everything - library bins docs tests) install install_bins install_docs INSTALL_OPTS ?= -m 644 diff --git a/libtomcrypt/notes/cipher_tv.txt b/libtomcrypt/notes/cipher_tv.txt index 604f01c..1bd799f 100644 --- a/libtomcrypt/notes/cipher_tv.txt +++ b/libtomcrypt/notes/cipher_tv.txt @@ -1434,6 +1434,58 @@ Key Size: 8 bytes Cipher: 3des +Key Size: 16 bytes + 0: DF0B6C9C31CD0CE4 + 1: 9B3503FDF249920B + 2: 653924639C39E7FF + 3: 6A29E0A7F42025BB + 4: 1628B719BC875D20 + 5: 7D77004A18D0C0B2 + 6: 4D21684EFE962DC1 + 7: B6BD7F82B648A364 + 8: 1F87ABAD83D19E96 + 9: 3DF3533220C3CDED +10: D0E7D0ABFBA68747 +11: 109FE5B38D74E6C9 +12: AE12C4B4D523784F +13: 953CD7F264166764 +14: 70B3A87D72FA0A22 +15: 9C9D09AC66AB8F6D +16: 4A15AEACB35B76F0 +17: EFA32F95623BCF1A +18: 679901F7737E195C +19: 221BB06209DDFCF4 +20: 0889A953C60BB1BF +21: 88F2249380E2D5D9 +22: 5AB26168B7FA24D5 +23: 934229150997D390 +24: 535E4F4C4DA97062 +25: 03E8D711AC2B8154 +26: CB5EF6E72EA3EC49 +27: 9278A864F488C94A +28: CB91B77401DAF004 +29: 4D0BA1C9794E0099 +30: 9CFA24A21F48043F +31: BB6B3A33AEEC01F4 +32: F2A8566E0FF6033D +33: E6AC213000E955E6 +34: 91F5FF42BBE0B81B +35: 6506D72ADEA70E12 +36: F9BD8C0506C7CC4E +37: 89CD85D1C98439ED +38: 409410E3E7D66B10 +39: 4CA64F96F4F3D216 +40: 383D18FBF8C006BC +41: 3806A8CB006EC243 +42: EE73C06D903D2FCF +43: 624BFD3FAD7ED9EB +44: 1B5457F2731FB5D1 +45: 4EC4632DFAC9D5D6 +46: 8F0B3100FAD612C5 +47: F955FCAD55AC6C90 +48: BEB5F023BD413960 +49: BDC369F3288ED754 + Key Size: 24 bytes 0: 58ED248F77F6B19E 1: DA5C39983FD34F30 diff --git a/libtomcrypt/src/ciphers/aes/aes_tab.c b/libtomcrypt/src/ciphers/aes/aes_tab.c index 463d05c..b15596e 100644 --- a/libtomcrypt/src/ciphers/aes/aes_tab.c +++ b/libtomcrypt/src/ciphers/aes/aes_tab.c @@ -94,7 +94,7 @@ static const ulong32 TE0[256] = { 0x7bb0b0cbUL, 0xa85454fcUL, 0x6dbbbbd6UL, 0x2c16163aUL, }; -#ifndef PELI_TAB +#if !defined(PELI_TAB) && defined(LTC_SMALL_CODE) static const ulong32 Te4[256] = { 0x63636363UL, 0x7c7c7c7cUL, 0x77777777UL, 0x7b7b7b7bUL, 0xf2f2f2f2UL, 0x6b6b6b6bUL, 0x6f6f6f6fUL, 0xc5c5c5c5UL, @@ -1017,11 +1017,13 @@ static const ulong32 Tks3[] = { #endif /* SMALL CODE */ +#ifndef PELI_TAB static const ulong32 rcon[] = { 0x01000000UL, 0x02000000UL, 0x04000000UL, 0x08000000UL, 0x10000000UL, 0x20000000UL, 0x40000000UL, 0x80000000UL, 0x1B000000UL, 0x36000000UL, /* for 128-bit blocks, Rijndael never uses more than 10 rcon values */ }; +#endif #endif /* __LTC_AES_TAB_C__ */ diff --git a/libtomcrypt/src/ciphers/des.c b/libtomcrypt/src/ciphers/des.c index fe429cc..fc8faae 100644 --- a/libtomcrypt/src/ciphers/des.c +++ b/libtomcrypt/src/ciphers/des.c @@ -38,7 +38,7 @@ const struct ltc_cipher_descriptor des3_desc = { "3des", 14, - 24, 24, 8, 16, + 16, 24, 8, 16, &des3_setup, &des3_ecb_encrypt, &des3_ecb_decrypt, @@ -2080,8 +2080,11 @@ int des_keysize(int *keysize) int des3_keysize(int *keysize) { LTC_ARGCHK(keysize != NULL); - if(*keysize < 24) { - return CRYPT_INVALID_KEYSIZE; + if (*keysize < 16) + return CRYPT_INVALID_KEYSIZE; + if (*keysize < 24) { + *keysize = 16; + return CRYPT_OK; } *keysize = 24; return CRYPT_OK; diff --git a/libtomcrypt/src/encauth/ccm/ccm_memory.c b/libtomcrypt/src/encauth/ccm/ccm_memory.c index 3326ce5..631219e 100644 --- a/libtomcrypt/src/encauth/ccm/ccm_memory.c +++ b/libtomcrypt/src/encauth/ccm/ccm_memory.c @@ -52,7 +52,7 @@ int ccm_memory(int cipher, int err; unsigned long len, L, x, y, z, CTRlen; #ifdef LTC_FAST - LTC_FAST_TYPE fastMask = ~0; /* initialize fastMask at all zeroes */ + LTC_FAST_TYPE fastMask = ~(LTC_FAST_TYPE)0; /* initialize fastMask at all zeroes */ #endif unsigned char mask = 0xff; /* initialize mask at all zeroes */ diff --git a/libtomcrypt/src/headers/tomcrypt.h b/libtomcrypt/src/headers/tomcrypt.h index 1a56611..f4442d2 100644 --- a/libtomcrypt/src/headers/tomcrypt.h +++ b/libtomcrypt/src/headers/tomcrypt.h @@ -27,14 +27,15 @@ extern "C" { /* version */ #define CRYPT 0x0118 -#define SCRYPT "1.18.1" +#define SCRYPT "1.18.2" /* max size of either a cipher/hash block or symmetric key [largest of the two] */ #define MAXBLOCKSIZE 128 +#ifndef TAB_SIZE /* descriptor table size */ -/* Dropbear change - this should be smaller, saves some size */ -#define TAB_SIZE 5 +#define TAB_SIZE 32 +#endif /* error codes [will be expanded in future releases] */ enum { diff --git a/libtomcrypt/src/headers/tomcrypt_custom.h b/libtomcrypt/src/headers/tomcrypt_custom.h index 4547cd8..8fb9df8 100644 --- a/libtomcrypt/src/headers/tomcrypt_custom.h +++ b/libtomcrypt/src/headers/tomcrypt_custom.h @@ -480,6 +480,13 @@ #endif #endif +#if defined(LTC_DER) + #ifndef LTC_DER_MAX_RECURSION + /* Maximum recursion limit when processing nested ASN.1 types. */ + #define LTC_DER_MAX_RECURSION 30 + #endif +#endif + #if defined(LTC_MECC) || defined(LTC_MRSA) || defined(LTC_MDSA) || defined(LTC_MKAT) /* Include the MPI functionality? (required by the PK algorithms) */ #define LTC_MPI diff --git a/libtomcrypt/src/headers/tomcrypt_dropbear.h b/libtomcrypt/src/headers/tomcrypt_dropbear.h index 323902b..36956da 100644 --- a/libtomcrypt/src/headers/tomcrypt_dropbear.h +++ b/libtomcrypt/src/headers/tomcrypt_dropbear.h @@ -10,6 +10,9 @@ #define LTC_SMALL_CODE #endif +/* Fewer entries needed */ +#define TAB_SIZE 5 + #if DROPBEAR_BLOWFISH #define LTC_BLOWFISH #endif diff --git a/libtomcrypt/src/headers/tomcrypt_pk.h b/libtomcrypt/src/headers/tomcrypt_pk.h index 4ea6f88..fb9b07c 100644 --- a/libtomcrypt/src/headers/tomcrypt_pk.h +++ b/libtomcrypt/src/headers/tomcrypt_pk.h @@ -667,16 +667,16 @@ int der_printable_value_decode(int v); /* UTF-8 */ #if (defined(SIZE_MAX) || __STDC_VERSION__ >= 199901L || defined(WCHAR_MAX) || defined(__WCHAR_MAX__) || defined(_WCHAR_T) || defined(_WCHAR_T_DEFINED) || defined (__WCHAR_TYPE__)) && !defined(LTC_NO_WCHAR) -#include -#if defined(__WCHAR_MAX__) -#define LTC_WCHAR_MAX __WCHAR_MAX__ -#elif defined(WCHAR_MAX) -#define LTC_WCHAR_MAX WCHAR_MAX -#endif + #if defined(__WCHAR_MAX__) + #define LTC_WCHAR_MAX __WCHAR_MAX__ + #else + #include + #define LTC_WCHAR_MAX WCHAR_MAX + #endif /* please note that it might happen that LTC_WCHAR_MAX is undefined */ #else -typedef ulong32 wchar_t; -#define LTC_WCHAR_MAX 0xFFFFFFFF + typedef ulong32 wchar_t; + #define LTC_WCHAR_MAX 0xFFFFFFFF #endif int der_encode_utf8_string(const wchar_t *in, unsigned long inlen, diff --git a/libtomcrypt/src/mac/blake2/blake2bmac_file.c b/libtomcrypt/src/mac/blake2/blake2bmac_file.c index 64c9e4d..c1e9c6b 100644 --- a/libtomcrypt/src/mac/blake2/blake2bmac_file.c +++ b/libtomcrypt/src/mac/blake2/blake2bmac_file.c @@ -23,6 +23,11 @@ int blake2bmac_file(const char *fname, const unsigned char *key, unsigned long keylen, unsigned char *mac, unsigned long *maclen) { #ifdef LTC_NO_FILE + LTC_UNUSED_PARAM(fname); + LTC_UNUSED_PARAM(key); + LTC_UNUSED_PARAM(keylen); + LTC_UNUSED_PARAM(mac); + LTC_UNUSED_PARAM(maclen); return CRYPT_NOP; #else blake2bmac_state st; diff --git a/libtomcrypt/src/mac/blake2/blake2smac_file.c b/libtomcrypt/src/mac/blake2/blake2smac_file.c index c5248a2..1ac6679 100644 --- a/libtomcrypt/src/mac/blake2/blake2smac_file.c +++ b/libtomcrypt/src/mac/blake2/blake2smac_file.c @@ -23,6 +23,11 @@ int blake2smac_file(const char *fname, const unsigned char *key, unsigned long keylen, unsigned char *mac, unsigned long *maclen) { #ifdef LTC_NO_FILE + LTC_UNUSED_PARAM(fname); + LTC_UNUSED_PARAM(key); + LTC_UNUSED_PARAM(keylen); + LTC_UNUSED_PARAM(mac); + LTC_UNUSED_PARAM(maclen); return CRYPT_NOP; #else blake2smac_state st; diff --git a/libtomcrypt/src/mac/f9/f9_file.c b/libtomcrypt/src/mac/f9/f9_file.c index a6e6532..04d509b 100644 --- a/libtomcrypt/src/mac/f9/f9_file.c +++ b/libtomcrypt/src/mac/f9/f9_file.c @@ -31,6 +31,12 @@ int f9_file(int cipher, unsigned char *out, unsigned long *outlen) { #ifdef LTC_NO_FILE + LTC_UNUSED_PARAM(cipher); + LTC_UNUSED_PARAM(key); + LTC_UNUSED_PARAM(keylen); + LTC_UNUSED_PARAM(fname); + LTC_UNUSED_PARAM(out); + LTC_UNUSED_PARAM(outlen); return CRYPT_NOP; #else size_t x; diff --git a/libtomcrypt/src/mac/hmac/hmac_file.c b/libtomcrypt/src/mac/hmac/hmac_file.c index c106941..0e1a163 100644 --- a/libtomcrypt/src/mac/hmac/hmac_file.c +++ b/libtomcrypt/src/mac/hmac/hmac_file.c @@ -30,7 +30,12 @@ int hmac_file(int hash, const char *fname, unsigned char *out, unsigned long *outlen) { #ifdef LTC_NO_FILE - (void)hash; (void)fname; (void)key; (void)keylen; (void)out; (void)outlen; + LTC_UNUSED_PARAM(hash); + LTC_UNUSED_PARAM(fname); + LTC_UNUSED_PARAM(key); + LTC_UNUSED_PARAM(keylen); + LTC_UNUSED_PARAM(out); + LTC_UNUSED_PARAM(outlen); return CRYPT_NOP; #else hmac_state hmac; diff --git a/libtomcrypt/src/mac/omac/omac_file.c b/libtomcrypt/src/mac/omac/omac_file.c index a9104e8..3f6a85d 100644 --- a/libtomcrypt/src/mac/omac/omac_file.c +++ b/libtomcrypt/src/mac/omac/omac_file.c @@ -31,6 +31,12 @@ int omac_file(int cipher, unsigned char *out, unsigned long *outlen) { #ifdef LTC_NO_FILE + LTC_UNUSED_PARAM(cipher); + LTC_UNUSED_PARAM(key); + LTC_UNUSED_PARAM(keylen); + LTC_UNUSED_PARAM(filename); + LTC_UNUSED_PARAM(out); + LTC_UNUSED_PARAM(outlen); return CRYPT_NOP; #else size_t x; diff --git a/libtomcrypt/src/mac/pmac/pmac_file.c b/libtomcrypt/src/mac/pmac/pmac_file.c index abe04f1..fe202a2 100644 --- a/libtomcrypt/src/mac/pmac/pmac_file.c +++ b/libtomcrypt/src/mac/pmac/pmac_file.c @@ -31,6 +31,12 @@ int pmac_file(int cipher, unsigned char *out, unsigned long *outlen) { #ifdef LTC_NO_FILE + LTC_UNUSED_PARAM(cipher); + LTC_UNUSED_PARAM(key); + LTC_UNUSED_PARAM(keylen); + LTC_UNUSED_PARAM(filename); + LTC_UNUSED_PARAM(out); + LTC_UNUSED_PARAM(outlen); return CRYPT_NOP; #else size_t x; diff --git a/libtomcrypt/src/mac/poly1305/poly1305_file.c b/libtomcrypt/src/mac/poly1305/poly1305_file.c index 7726305..e57437b 100644 --- a/libtomcrypt/src/mac/poly1305/poly1305_file.c +++ b/libtomcrypt/src/mac/poly1305/poly1305_file.c @@ -28,6 +28,11 @@ int poly1305_file(const char *fname, const unsigned char *key, unsigned long keylen, unsigned char *mac, unsigned long *maclen) { #ifdef LTC_NO_FILE + LTC_UNUSED_PARAM(fname); + LTC_UNUSED_PARAM(key); + LTC_UNUSED_PARAM(keylen); + LTC_UNUSED_PARAM(mac); + LTC_UNUSED_PARAM(maclen); return CRYPT_NOP; #else poly1305_state st; diff --git a/libtomcrypt/src/mac/xcbc/xcbc_file.c b/libtomcrypt/src/mac/xcbc/xcbc_file.c index f121cd0..27eb0de 100644 --- a/libtomcrypt/src/mac/xcbc/xcbc_file.c +++ b/libtomcrypt/src/mac/xcbc/xcbc_file.c @@ -31,6 +31,12 @@ int xcbc_file(int cipher, unsigned char *out, unsigned long *outlen) { #ifdef LTC_NO_FILE + LTC_UNUSED_PARAM(cipher); + LTC_UNUSED_PARAM(key); + LTC_UNUSED_PARAM(keylen); + LTC_UNUSED_PARAM(filename); + LTC_UNUSED_PARAM(out); + LTC_UNUSED_PARAM(outlen); return CRYPT_NOP; #else size_t x; diff --git a/libtomcrypt/src/math/multi.c b/libtomcrypt/src/math/multi.c index da5bb60..cfe1451 100644 --- a/libtomcrypt/src/math/multi.c +++ b/libtomcrypt/src/math/multi.c @@ -67,7 +67,6 @@ void ltc_cleanup_multi(void **a, ...) cur = va_arg(args, void**); } va_end(args); - return; } #endif diff --git a/libtomcrypt/src/math/rand_bn.c b/libtomcrypt/src/math/rand_bn.c index a42ba64..aa6539c 100644 --- a/libtomcrypt/src/math/rand_bn.c +++ b/libtomcrypt/src/math/rand_bn.c @@ -8,7 +8,7 @@ */ #include "tomcrypt.h" -#ifdef LTC_MDSA +#if defined(LTC_MDSA) || defined(LTC_MECC) /** Generate a random number N with given bitlength (note: MSB can be 0) */ diff --git a/libtomcrypt/src/misc/crypt/crypt.c b/libtomcrypt/src/misc/crypt/crypt.c index 83b6c21..9b9c867 100644 --- a/libtomcrypt/src/misc/crypt/crypt.c +++ b/libtomcrypt/src/misc/crypt/crypt.c @@ -399,6 +399,7 @@ const char *crypt_build_settings = #endif #if defined(LTC_DER) " DER " + " " NAME_VALUE(LTC_DER_MAX_RECURSION) " " #endif #if defined(LTC_PKCS_1) " PKCS#1 " diff --git a/libtomcrypt/src/misc/crypt/crypt_constants.c b/libtomcrypt/src/misc/crypt/crypt_constants.c index a7418d5..9b3c938 100644 --- a/libtomcrypt/src/misc/crypt/crypt_constants.c +++ b/libtomcrypt/src/misc/crypt/crypt_constants.c @@ -111,6 +111,7 @@ static const crypt_constant _crypt_constants[] = { #ifdef LTC_DER /* DER handling */ + {"LTC_DER", 1}, _C_STRINGIFY(LTC_ASN1_EOL), _C_STRINGIFY(LTC_ASN1_BOOLEAN), _C_STRINGIFY(LTC_ASN1_INTEGER), @@ -132,6 +133,9 @@ static const crypt_constant _crypt_constants[] = { _C_STRINGIFY(LTC_ASN1_CONSTRUCTED), _C_STRINGIFY(LTC_ASN1_CONTEXT_SPECIFIC), _C_STRINGIFY(LTC_ASN1_GENERALIZEDTIME), + _C_STRINGIFY(LTC_DER_MAX_RECURSION), +#else + {"LTC_DER", 0}, #endif #ifdef LTC_CTR_MODE @@ -248,20 +252,16 @@ int crypt_get_constant(const char* namein, int *valueout) { int crypt_list_all_constants(char *names_list, unsigned int *names_list_size) { int i; unsigned int total_len = 0; - char number[32], *ptr; + char *ptr; int number_len; int count = sizeof(_crypt_constants) / sizeof(_crypt_constants[0]); /* calculate amount of memory required for the list */ for (i=0; i= sizeof(number))) + number_len = snprintf(NULL, 0, "%s,%d\n", _crypt_constants[i].name, _crypt_constants[i].value); + if (number_len < 0) return -1; - total_len += number_len + 1; - /* this last +1 is for newlines (and ending NULL) */ + total_len += number_len; } if (names_list == NULL) { @@ -273,16 +273,11 @@ int crypt_list_all_constants(char *names_list, unsigned int *names_list_size) { /* build the names list */ ptr = names_list; for (i=0; i total_len) return -1; + total_len -= number_len; ptr += number_len; - strcpy(ptr, "\n"); - ptr += 1; } /* to remove the trailing new-line */ ptr -= 1; diff --git a/libtomcrypt/src/misc/crypt/crypt_sizes.c b/libtomcrypt/src/misc/crypt/crypt_sizes.c index 79b3bd4..dd857ea 100644 --- a/libtomcrypt/src/misc/crypt/crypt_sizes.c +++ b/libtomcrypt/src/misc/crypt/crypt_sizes.c @@ -307,19 +307,16 @@ int crypt_get_size(const char* namein, unsigned int *sizeout) { int crypt_list_all_sizes(char *names_list, unsigned int *names_list_size) { int i; unsigned int total_len = 0; - char number[32], *ptr; + char *ptr; int number_len; int count = sizeof(_crypt_sizes) / sizeof(_crypt_sizes[0]); /* calculate amount of memory required for the list */ for (i=0; i= sizeof(number))) + number_len = snprintf(NULL, 0, "%s,%u\n", _crypt_sizes[i].name, _crypt_sizes[i].size); + if (number_len < 0) return -1; - total_len += (unsigned int)strlen(number) + 1; + total_len += number_len; /* this last +1 is for newlines (and ending NULL) */ } @@ -332,16 +329,11 @@ int crypt_list_all_sizes(char *names_list, unsigned int *names_list_size) { /* build the names list */ ptr = names_list; for (i=0; i total_len) return -1; + total_len -= number_len; ptr += number_len; - strcpy(ptr, "\n"); - ptr += 1; } /* to remove the trailing new-line */ ptr -= 1; diff --git a/libtomcrypt/src/modes/ctr/ctr_encrypt.c b/libtomcrypt/src/modes/ctr/ctr_encrypt.c index 7319cf5..eb7328c 100644 --- a/libtomcrypt/src/modes/ctr/ctr_encrypt.c +++ b/libtomcrypt/src/modes/ctr/ctr_encrypt.c @@ -17,47 +17,17 @@ #ifdef LTC_CTR_MODE /** - CTR encrypt + CTR encrypt software implementation @param pt Plaintext @param ct [out] Ciphertext @param len Length of plaintext (octets) @param ctr CTR state @return CRYPT_OK if successful */ -int ctr_encrypt(const unsigned char *pt, unsigned char *ct, unsigned long len, symmetric_CTR *ctr) +static int _ctr_encrypt(const unsigned char *pt, unsigned char *ct, unsigned long len, symmetric_CTR *ctr) { int x, err; - LTC_ARGCHK(pt != NULL); - LTC_ARGCHK(ct != NULL); - LTC_ARGCHK(ctr != NULL); - - if ((err = cipher_is_valid(ctr->cipher)) != CRYPT_OK) { - return err; - } - - /* is blocklen/padlen valid? */ - if (ctr->blocklen < 1 || ctr->blocklen > (int)sizeof(ctr->ctr) || - ctr->padlen < 0 || ctr->padlen > (int)sizeof(ctr->pad)) { - return CRYPT_INVALID_ARG; - } - -#ifdef LTC_FAST - if (ctr->blocklen % sizeof(LTC_FAST_TYPE)) { - return CRYPT_INVALID_ARG; - } -#endif - - /* handle acceleration only if pad is empty, accelerator is present and length is >= a block size */ - if ((ctr->padlen == ctr->blocklen) && cipher_descriptor[ctr->cipher].accel_ctr_encrypt != NULL && (len >= (unsigned long)ctr->blocklen)) { - if ((err = cipher_descriptor[ctr->cipher].accel_ctr_encrypt(pt, ct, len/ctr->blocklen, ctr->ctr, ctr->mode, &ctr->key)) != CRYPT_OK) { - return err; - } - pt += (len / ctr->blocklen) * ctr->blocklen; - ct += (len / ctr->blocklen) * ctr->blocklen; - len %= ctr->blocklen; - } - while (len) { /* is the pad empty? */ if (ctr->padlen == ctr->blocklen) { @@ -87,7 +57,7 @@ int ctr_encrypt(const unsigned char *pt, unsigned char *ct, unsigned long len, s ctr->padlen = 0; } #ifdef LTC_FAST - if (ctr->padlen == 0 && len >= (unsigned long)ctr->blocklen) { + if ((ctr->padlen == 0) && (len >= (unsigned long)ctr->blocklen)) { for (x = 0; x < ctr->blocklen; x += sizeof(LTC_FAST_TYPE)) { *(LTC_FAST_TYPE_PTR_CAST((unsigned char *)ct + x)) = *(LTC_FAST_TYPE_PTR_CAST((unsigned char *)pt + x)) ^ *(LTC_FAST_TYPE_PTR_CAST((unsigned char *)ctr->pad + x)); @@ -105,6 +75,63 @@ int ctr_encrypt(const unsigned char *pt, unsigned char *ct, unsigned long len, s return CRYPT_OK; } +/** + CTR encrypt + @param pt Plaintext + @param ct [out] Ciphertext + @param len Length of plaintext (octets) + @param ctr CTR state + @return CRYPT_OK if successful +*/ +int ctr_encrypt(const unsigned char *pt, unsigned char *ct, unsigned long len, symmetric_CTR *ctr) +{ + int err, fr; + + LTC_ARGCHK(pt != NULL); + LTC_ARGCHK(ct != NULL); + LTC_ARGCHK(ctr != NULL); + + if ((err = cipher_is_valid(ctr->cipher)) != CRYPT_OK) { + return err; + } + + /* is blocklen/padlen valid? */ + if ((ctr->blocklen < 1) || (ctr->blocklen > (int)sizeof(ctr->ctr)) || + (ctr->padlen < 0) || (ctr->padlen > (int)sizeof(ctr->pad))) { + return CRYPT_INVALID_ARG; + } + +#ifdef LTC_FAST + if (ctr->blocklen % sizeof(LTC_FAST_TYPE)) { + return CRYPT_INVALID_ARG; + } +#endif + + /* handle acceleration only if pad is empty, accelerator is present and length is >= a block size */ + if ((cipher_descriptor[ctr->cipher].accel_ctr_encrypt != NULL) && (len >= (unsigned long)ctr->blocklen)) { + if (ctr->padlen < ctr->blocklen) { + fr = ctr->blocklen - ctr->padlen; + if ((err = _ctr_encrypt(pt, ct, fr, ctr)) != CRYPT_OK) { + return err; + } + pt += fr; + ct += fr; + len -= fr; + } + + if (len >= (unsigned long)ctr->blocklen) { + if ((err = cipher_descriptor[ctr->cipher].accel_ctr_encrypt(pt, ct, len/ctr->blocklen, ctr->ctr, ctr->mode, &ctr->key)) != CRYPT_OK) { + return err; + } + pt += (len / ctr->blocklen) * ctr->blocklen; + ct += (len / ctr->blocklen) * ctr->blocklen; + len %= ctr->blocklen; + } + } + + return _ctr_encrypt(pt, ct, len, ctr); +} + #endif /* ref: $Format:%D$ */ diff --git a/libtomcrypt/src/pk/asn1/der/sequence/der_decode_sequence_flexi.c b/libtomcrypt/src/pk/asn1/der/sequence/der_decode_sequence_flexi.c index 142ef95..cb93e8f 100644 --- a/libtomcrypt/src/pk/asn1/der/sequence/der_decode_sequence_flexi.c +++ b/libtomcrypt/src/pk/asn1/der/sequence/der_decode_sequence_flexi.c @@ -79,8 +79,8 @@ static int _new_element(ltc_asn1_list **l) */ int der_decode_sequence_flexi(const unsigned char *in, unsigned long *inlen, ltc_asn1_list **out) { - ltc_asn1_list *l; - unsigned long err, type, len, totlen, data_offset; + ltc_asn1_list *l, *t; + unsigned long err, type, len, totlen, data_offset, len_len; void *realloc_tmp; LTC_ARGCHK(in != NULL); @@ -407,6 +407,17 @@ int der_decode_sequence_flexi(const unsigned char *in, unsigned long *inlen, ltc l->child->parent = l; } + t = l; + len_len = 0; + while((t != NULL) && (t->child != NULL)) { + len_len++; + t = t->child; + } + if (len_len > LTC_DER_MAX_RECURSION) { + err = CRYPT_ERROR; + goto error; + } + break; case 0x80: /* Context-specific */ diff --git a/libtomcrypt/src/pk/asn1/der/sequence/der_decode_subject_public_key_info.c b/libtomcrypt/src/pk/asn1/der/sequence/der_decode_subject_public_key_info.c index 6826181..d2d0811 100644 --- a/libtomcrypt/src/pk/asn1/der/sequence/der_decode_subject_public_key_info.c +++ b/libtomcrypt/src/pk/asn1/der/sequence/der_decode_subject_public_key_info.c @@ -80,7 +80,7 @@ int der_decode_subject_public_key_info(const unsigned char *in, unsigned long in } if ((alg_id[0].size != oid.OIDlen) || - XMEMCMP(oid.OID, alg_id[0].data, oid.OIDlen * sizeof(oid.OID[0]))) { + XMEMCMP(oid.OID, alg_id[0].data, oid.OIDlen * sizeof(oid.OID[0])) != 0) { /* OID mismatch */ err = CRYPT_PK_INVALID_TYPE; goto LBL_ERR; diff --git a/libtomcrypt/src/pk/dsa/dsa_export.c b/libtomcrypt/src/pk/dsa/dsa_export.c index 1f6bb5a..f3a9f59 100644 --- a/libtomcrypt/src/pk/dsa/dsa_export.c +++ b/libtomcrypt/src/pk/dsa/dsa_export.c @@ -69,7 +69,7 @@ int dsa_export(unsigned char *out, unsigned long *outlen, int type, dsa_key *key } } else { if (std) { - unsigned long tmplen = (mp_count_bits(key->y) / 8) + 8; + unsigned long tmplen = (unsigned long)(mp_count_bits(key->y) / 8) + 8; unsigned char* tmp = XMALLOC(tmplen); ltc_asn1_list int_list[3]; diff --git a/libtomcrypt/src/pk/dsa/dsa_generate_pqg.c b/libtomcrypt/src/pk/dsa/dsa_generate_pqg.c index 91c7ef7..8c5f558 100644 --- a/libtomcrypt/src/pk/dsa/dsa_generate_pqg.c +++ b/libtomcrypt/src/pk/dsa/dsa_generate_pqg.c @@ -72,8 +72,8 @@ static int _dsa_make_params(prng_state *prng, int wprng, int group_size, int mod */ seedbytes = group_size; - L = modulus_size * 8; - N = group_size * 8; + L = (unsigned long)modulus_size * 8; + N = (unsigned long)group_size * 8; /* XXX-TODO no Lucas test */ #ifdef LTC_MPI_HAS_LUCAS_TEST diff --git a/libtomcrypt/src/pk/ecc/ecc_sign_hash.c b/libtomcrypt/src/pk/ecc/ecc_sign_hash.c index 5f6f57f..ec6677c 100644 --- a/libtomcrypt/src/pk/ecc/ecc_sign_hash.c +++ b/libtomcrypt/src/pk/ecc/ecc_sign_hash.c @@ -21,7 +21,7 @@ static int _ecc_sign_hash(const unsigned char *in, unsigned long inlen, prng_state *prng, int wprng, ecc_key *key, int sigformat) { ecc_key pubkey; - void *r, *s, *e, *p; + void *r, *s, *e, *p, *b; int err, max_iterations = LTC_PK_MAX_RETRIES; unsigned long pbits, pbytes, i, shift_right; unsigned char ch, buf[MAXBLOCKSIZE]; @@ -46,7 +46,7 @@ static int _ecc_sign_hash(const unsigned char *in, unsigned long inlen, } /* init the bignums */ - if ((err = mp_init_multi(&r, &s, &p, &e, NULL)) != CRYPT_OK) { + if ((err = mp_init_multi(&r, &s, &p, &e, &b, NULL)) != CRYPT_OK) { return err; } if ((err = mp_read_radix(p, (char *)key->dp->order, 16)) != CRYPT_OK) { goto errnokey; } @@ -82,12 +82,15 @@ static int _ecc_sign_hash(const unsigned char *in, unsigned long inlen, if (mp_iszero(r) == LTC_MP_YES) { ecc_free(&pubkey); } else { + if ((err = rand_bn_upto(b, p, prng, wprng)) != CRYPT_OK) { goto error; } /* b = blinding value */ /* find s = (e + xr)/k */ - if ((err = mp_invmod(pubkey.k, p, pubkey.k)) != CRYPT_OK) { goto error; } /* k = 1/k */ + if ((err = mp_mulmod(pubkey.k, b, p, pubkey.k)) != CRYPT_OK) { goto error; } /* k = kb */ + if ((err = mp_invmod(pubkey.k, p, pubkey.k)) != CRYPT_OK) { goto error; } /* k = 1/kb */ if ((err = mp_mulmod(key->k, r, p, s)) != CRYPT_OK) { goto error; } /* s = xr */ - if ((err = mp_add(e, s, s)) != CRYPT_OK) { goto error; } /* s = e + xr */ - if ((err = mp_mod(s, p, s)) != CRYPT_OK) { goto error; } /* s = e + xr */ - if ((err = mp_mulmod(s, pubkey.k, p, s)) != CRYPT_OK) { goto error; } /* s = (e + xr)/k */ + if ((err = mp_mulmod(pubkey.k, s, p, s)) != CRYPT_OK) { goto error; } /* s = xr/kb */ + if ((err = mp_mulmod(pubkey.k, e, p, e)) != CRYPT_OK) { goto error; } /* e = e/kb */ + if ((err = mp_add(e, s, s)) != CRYPT_OK) { goto error; } /* s = e/kb + xr/kb */ + if ((err = mp_mulmod(s, b, p, s)) != CRYPT_OK) { goto error; } /* s = b(e/kb + xr/kb) = (e + xr)/k */ ecc_free(&pubkey); if (mp_iszero(s) == LTC_MP_NO) { break; @@ -121,7 +124,7 @@ static int _ecc_sign_hash(const unsigned char *in, unsigned long inlen, error: ecc_free(&pubkey); errnokey: - mp_clear_multi(r, s, p, e, NULL); + mp_clear_multi(r, s, p, e, b, NULL); return err; } diff --git a/libtomcrypt/src/pk/rsa/rsa_export.c b/libtomcrypt/src/pk/rsa/rsa_export.c index a9885de..efd61d6 100644 --- a/libtomcrypt/src/pk/rsa/rsa_export.c +++ b/libtomcrypt/src/pk/rsa/rsa_export.c @@ -58,7 +58,7 @@ int rsa_export(unsigned char *out, unsigned long *outlen, int type, rsa_key *key unsigned char* tmp = NULL; if (type & PK_STD) { - tmplen = (mp_count_bits(key->N)/8)*2+8; + tmplen = (unsigned long)(mp_count_bits(key->N) / 8) * 2 + 8; tmp = XMALLOC(tmplen); ptmplen = &tmplen; if (tmp == NULL) { diff --git a/libtomcrypt/src/pk/rsa/rsa_import_pkcs8.c b/libtomcrypt/src/pk/rsa/rsa_import_pkcs8.c index 8e15e06..0546eb0 100644 --- a/libtomcrypt/src/pk/rsa/rsa_import_pkcs8.c +++ b/libtomcrypt/src/pk/rsa/rsa_import_pkcs8.c @@ -114,7 +114,7 @@ int rsa_import_pkcs8(const unsigned char *in, unsigned long inlen, /* check alg oid */ if ((alg_seq[0].size != rsaoid.OIDlen) || - XMEMCMP(rsaoid.OID, alg_seq[0].data, rsaoid.OIDlen * sizeof(rsaoid.OID[0]))) { + XMEMCMP(rsaoid.OID, alg_seq[0].data, rsaoid.OIDlen * sizeof(rsaoid.OID[0])) != 0) { err = CRYPT_PK_INVALID_TYPE; goto LBL_ERR; } diff --git a/libtomcrypt/src/prngs/fortuna.c b/libtomcrypt/src/prngs/fortuna.c index 7b1ecb6..1f07233 100644 --- a/libtomcrypt/src/prngs/fortuna.c +++ b/libtomcrypt/src/prngs/fortuna.c @@ -66,9 +66,9 @@ static int _fortuna_reseed(prng_state *prng) { unsigned char tmp[MAXBLOCKSIZE]; hash_state md; + ulong64 reset_cnt; int err, x; - ++prng->fortuna.reset_cnt; /* new K == LTC_SHA256(K || s) where s == LTC_SHA256(P0) || LTC_SHA256(P1) ... */ sha256_init(&md); @@ -77,8 +77,10 @@ static int _fortuna_reseed(prng_state *prng) return err; } + reset_cnt = prng->fortuna.reset_cnt + 1; + for (x = 0; x < LTC_FORTUNA_POOLS; x++) { - if (x == 0 || ((prng->fortuna.reset_cnt >> (x-1)) & 1) == 0) { + if (x == 0 || ((reset_cnt >> (x-1)) & 1) == 0) { /* terminate this hash */ if ((err = sha256_done(&prng->fortuna.pool[x], tmp)) != CRYPT_OK) { sha256_done(&md, tmp); @@ -108,9 +110,10 @@ static int _fortuna_reseed(prng_state *prng) } _fortuna_update_iv(prng); - /* reset pool len */ + /* reset/update internals */ prng->fortuna.pool0_len = 0; prng->fortuna.wd = 0; + prng->fortuna.reset_cnt = reset_cnt; #ifdef LTC_CLEAN_STACK @@ -121,6 +124,46 @@ static int _fortuna_reseed(prng_state *prng) return CRYPT_OK; } +/** + "Update Seed File"-compliant update of K + + @param in The PRNG state + @param inlen Size of the state + @param prng The PRNG to import + @return CRYPT_OK if successful +*/ +static int _fortuna_update_seed(const unsigned char *in, unsigned long inlen, prng_state *prng) +{ + int err; + unsigned char tmp[MAXBLOCKSIZE]; + hash_state md; + + LTC_MUTEX_LOCK(&prng->lock); + /* new K = LTC_SHA256(K || in) */ + sha256_init(&md); + if ((err = sha256_process(&md, prng->fortuna.K, 32)) != CRYPT_OK) { + sha256_done(&md, tmp); + goto LBL_UNLOCK; + } + if ((err = sha256_process(&md, in, inlen)) != CRYPT_OK) { + sha256_done(&md, tmp); + goto LBL_UNLOCK; + } + /* finish key */ + if ((err = sha256_done(&md, prng->fortuna.K)) != CRYPT_OK) { + goto LBL_UNLOCK; + } + _fortuna_update_iv(prng); + +LBL_UNLOCK: + LTC_MUTEX_UNLOCK(&prng->lock); +#ifdef LTC_CLEAN_STACK + zeromem(&md, sizeof(md)); +#endif + + return err; +} + /** Start the PRNG @param prng [out] The PRNG state to initialize @@ -245,12 +288,17 @@ unsigned long fortuna_read(unsigned char *out, unsigned long outlen, prng_state } /* do we have to reseed? */ - if (++prng->fortuna.wd == LTC_FORTUNA_WD || prng->fortuna.pool0_len >= 64) { + if ((++prng->fortuna.wd == LTC_FORTUNA_WD) && (prng->fortuna.pool0_len >= 64)) { if (_fortuna_reseed(prng) != CRYPT_OK) { goto LBL_UNLOCK; } } + /* ensure that one reseed happened before allowing to read */ + if (prng->fortuna.reset_cnt == 0) { + goto LBL_UNLOCK; + } + /* now generate the blocks required */ tlen = outlen; @@ -404,10 +452,10 @@ LBL_UNLOCK: */ int fortuna_import(const unsigned char *in, unsigned long inlen, prng_state *prng) { - int err, x; + int err; - LTC_ARGCHK(in != NULL); - LTC_ARGCHK(prng != NULL); + LTC_ARGCHK(in != NULL); + LTC_ARGCHK(prng != NULL); if (inlen < (unsigned long)fortuna_desc.export_size) { return CRYPT_INVALID_ARG; @@ -416,12 +464,12 @@ int fortuna_import(const unsigned char *in, unsigned long inlen, prng_state *prn if ((err = fortuna_start(prng)) != CRYPT_OK) { return err; } - for (x = 0; x < LTC_FORTUNA_POOLS; x++) { - if ((err = fortuna_add_entropy(in+x*32, 32, prng)) != CRYPT_OK) { - return err; - } + + if ((err = _fortuna_update_seed(in, inlen, prng)) != CRYPT_OK) { + return err; } - return CRYPT_OK; + + return err; } /** diff --git a/libtomcrypt/src/prngs/sober128.c b/libtomcrypt/src/prngs/sober128.c index 8d95491..275920c 100644 --- a/libtomcrypt/src/prngs/sober128.c +++ b/libtomcrypt/src/prngs/sober128.c @@ -189,7 +189,7 @@ int sober128_import(const unsigned char *in, unsigned long inlen, prng_state *pr if (inlen < (unsigned long)sober128_desc.export_size) return CRYPT_INVALID_ARG; if ((err = sober128_start(prng)) != CRYPT_OK) return err; - if ((err = sober128_add_entropy(in, sober128_desc.export_size, prng)) != CRYPT_OK) return err; + if ((err = sober128_add_entropy(in, inlen, prng)) != CRYPT_OK) return err; return CRYPT_OK; } diff --git a/libtomcrypt/tests/common.h b/libtomcrypt/tests/common.h index 410db1e..f2d8dca 100644 --- a/libtomcrypt/tests/common.h +++ b/libtomcrypt/tests/common.h @@ -16,9 +16,11 @@ extern prng_state yarrow_prng; #ifdef LTC_VERBOSE #define DO(x) do { fprintf(stderr, "%s:\n", #x); run_cmd((x), __LINE__, __FILE__, #x, NULL); } while (0) #define DOX(x, str) do { fprintf(stderr, "%s - %s:\n", #x, (str)); run_cmd((x), __LINE__, __FILE__, #x, (str)); } while (0) +#define SHOULD_FAIL(x) do { fprintf(stderr, "%s:\n", #x); run_cmd((x) != CRYPT_OK ? CRYPT_OK : CRYPT_FAIL_TESTVECTOR, __LINE__, __FILE__, #x, NULL); } while (0) #else #define DO(x) do { run_cmd((x), __LINE__, __FILE__, #x, NULL); } while (0) #define DOX(x, str) do { run_cmd((x), __LINE__, __FILE__, #x, (str)); } while (0) +#define SHOULD_FAIL(x) do { run_cmd((x) != CRYPT_OK ? CRYPT_OK : CRYPT_FAIL_TESTVECTOR, __LINE__, __FILE__, #x, NULL); } while (0) #endif void run_cmd(int res, int line, const char *file, const char *cmd, const char *algorithm); diff --git a/libtomcrypt/tests/der_test.c b/libtomcrypt/tests/der_test.c index 6dab424..a6859e8 100644 --- a/libtomcrypt/tests/der_test.c +++ b/libtomcrypt/tests/der_test.c @@ -1094,6 +1094,25 @@ static int der_choice_test(void) } +static void _der_recursion_limit(void) +{ + int failed = 0; + unsigned int n; + unsigned long integer = 123, s; + ltc_asn1_list seqs[LTC_DER_MAX_RECURSION + 2], dummy[1], *flexi; + unsigned char buf[2048]; + LTC_SET_ASN1(dummy, 0, LTC_ASN1_SHORT_INTEGER, &integer, 1); + LTC_SET_ASN1(seqs, LTC_DER_MAX_RECURSION + 1, LTC_ASN1_SEQUENCE, dummy, 1); + for (n = 0; n < LTC_DER_MAX_RECURSION + 1; ++n) { + LTC_SET_ASN1(seqs, LTC_DER_MAX_RECURSION - n, LTC_ASN1_SEQUENCE, &seqs[LTC_DER_MAX_RECURSION - n + 1], 1); + } + s = sizeof(buf); + DO(der_encode_sequence(seqs, 1, buf, &s)); + DO(der_decode_sequence(buf, s, seqs, 1)); + SHOULD_FAIL(der_decode_sequence_flexi(buf, &s, &flexi)); + if (failed) exit(EXIT_FAILURE); +} + int der_test(void) { unsigned long x, y, z, zz, oid[2][32]; @@ -1126,6 +1145,8 @@ int der_test(void) unsigned char utf8_buf[32]; wchar_t utf8_out[32]; + + _der_recursion_limit(); der_cacert_test(); DO(mp_init_multi(&a, &b, &c, &d, &e, &f, &g, NULL)); -- cgit v1.2.3 From d14ebdbf0e6fcb031544402105324c6183b82443 Mon Sep 17 00:00:00 2001 From: Matt Johnston Date: Wed, 10 Jun 2020 23:26:05 +0800 Subject: avoid zero length array in base64_decode --- libtomcrypt/src/misc/base64/base64_decode.c | 12 +++++++++--- 1 file changed, 9 insertions(+), 3 deletions(-) (limited to 'libtomcrypt/src') diff --git a/libtomcrypt/src/misc/base64/base64_decode.c b/libtomcrypt/src/misc/base64/base64_decode.c index 4c58c68..c1d3c80 100644 --- a/libtomcrypt/src/misc/base64/base64_decode.c +++ b/libtomcrypt/src/misc/base64/base64_decode.c @@ -43,8 +43,8 @@ static const unsigned char map_base64[256] = { 255, 255, 255, 255 }; #endif /* LTC_BASE64 */ -static const unsigned char map_base64url[] = { #if defined(LTC_BASE64_URL) +static const unsigned char map_base64url[] = { 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, @@ -67,8 +67,8 @@ static const unsigned char map_base64url[] = { 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255 -#endif /* LTC_BASE64_URL */ }; +#endif /* LTC_BASE64_URL */ enum { relaxed = 0, @@ -117,8 +117,14 @@ static int _base64_decode_internal(const unsigned char *in, unsigned long inlen } if (y != 0) { + int allow_b64url = 0; +#ifdef LTC_BASE64_URL + if (map == map_base64url) { + allow_b64url = 1; + } +#endif if (y == 1) return CRYPT_INVALID_PACKET; - if ((y + g) != 4 && is_strict && map != map_base64url) return CRYPT_INVALID_PACKET; + if ((y + g) != 4 && is_strict && !allow_b64url) return CRYPT_INVALID_PACKET; t = t << (6 * (4 - y)); if (z + y - 1 > *outlen) return CRYPT_BUFFER_OVERFLOW; if (y >= 2) out[z++] = (unsigned char) ((t >> 16) & 255); -- cgit v1.2.3 From 6145289e0d6de9bad520c64316672c8f583cdb1e Mon Sep 17 00:00:00 2001 From: Matt Johnston Date: Wed, 10 Jun 2020 23:42:42 +0800 Subject: Remove blowfish --- common-algo.c | 7 ------- default_options.h | 2 -- libtomcrypt/src/headers/tomcrypt_dropbear.h | 3 --- 3 files changed, 12 deletions(-) (limited to 'libtomcrypt/src') diff --git a/common-algo.c b/common-algo.c index a710171..8b39892 100644 --- a/common-algo.c +++ b/common-algo.c @@ -64,10 +64,6 @@ static const struct dropbear_cipher dropbear_aes256 = static const struct dropbear_cipher dropbear_aes128 = {&aes_desc, 16, 16}; #endif -#if DROPBEAR_BLOWFISH -static const struct dropbear_cipher dropbear_blowfish = - {&blowfish_desc, 16, 8}; -#endif #if DROPBEAR_TWOFISH256 static const struct dropbear_cipher dropbear_twofish256 = {&twofish_desc, 32, 16}; @@ -197,9 +193,6 @@ algo_type sshciphers[] = { #endif /* DROPBEAR_3DES */ #if DROPBEAR_ENABLE_CBC_MODE -#if DROPBEAR_BLOWFISH - {"blowfish-cbc", 0, &dropbear_blowfish, 1, &dropbear_mode_cbc}, -#endif #endif /* DROPBEAR_ENABLE_CBC_MODE */ {NULL, 0, NULL, 0, NULL} }; diff --git a/default_options.h b/default_options.h index 2ca01b3..db2ea13 100644 --- a/default_options.h +++ b/default_options.h @@ -87,8 +87,6 @@ IMPORTANT: Some options will require "make clean" after changes */ #define DROPBEAR_AES256 1 #define DROPBEAR_TWOFISH256 0 #define DROPBEAR_TWOFISH128 0 -/* Compiling in Blowfish will add ~6kB to runtime heap memory usage */ -#define DROPBEAR_BLOWFISH 0 /* Enable CBC mode for ciphers. This has security issues though * is the most compatible with older SSH implementations */ diff --git a/libtomcrypt/src/headers/tomcrypt_dropbear.h b/libtomcrypt/src/headers/tomcrypt_dropbear.h index 36956da..3e24ea2 100644 --- a/libtomcrypt/src/headers/tomcrypt_dropbear.h +++ b/libtomcrypt/src/headers/tomcrypt_dropbear.h @@ -13,9 +13,6 @@ /* Fewer entries needed */ #define TAB_SIZE 5 -#if DROPBEAR_BLOWFISH -#define LTC_BLOWFISH -#endif #if DROPBEAR_AES #define LTC_RIJNDAEL #endif -- cgit v1.2.3