diff options
Diffstat (limited to 'src/crypto/curve25519-x86_64.h')
| -rw-r--r-- | src/crypto/curve25519-x86_64.h | 2220 |
1 files changed, 2056 insertions, 164 deletions
diff --git a/src/crypto/curve25519-x86_64.h b/src/crypto/curve25519-x86_64.h index c90b13d..49120bd 100644 --- a/src/crypto/curve25519-x86_64.h +++ b/src/crypto/curve25519-x86_64.h @@ -1,176 +1,2068 @@ /* SPDX-License-Identifier: GPL-2.0 * - * Copyright (C) 2015-2018 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. - * - * Based on algorithms from Tung Chou <blueprint@crypto.tw> + * Copyright (c) 2017 Armando Faz <armfazh@ic.unicamp.br>. All Rights Reserved. + * Copyright (C) 2018 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. + * Copyright (C) 2018 Samuel Neves <sneves@dei.uc.pt>. All Rights Reserved. */ #include <asm/cpufeature.h> #include <asm/processor.h> -#include <asm/fpu/api.h> -#include <asm/simd.h> -static bool curve25519_use_avx __ro_after_init; +static bool curve25519_use_bmi2 __ro_after_init; +static bool curve25519_use_adx __ro_after_init; void __init curve25519_fpu_init(void) { -#ifndef CONFIG_UML - curve25519_use_avx = boot_cpu_has(X86_FEATURE_AVX) && cpu_has_xfeatures(XFEATURE_MASK_SSE | XFEATURE_MASK_YMM, NULL); -#endif + curve25519_use_bmi2 = boot_cpu_has(X86_FEATURE_BMI2); + curve25519_use_adx = boot_cpu_has(X86_FEATURE_BMI2) && boot_cpu_has(X86_FEATURE_ADX); +} + +enum { NUM_WORDS_ELTFP25519 = 4 }; +typedef __aligned(32) u64 eltfp25519_1w[NUM_WORDS_ELTFP25519]; +typedef __aligned(32) u64 eltfp25519_1w_buffer[2 * NUM_WORDS_ELTFP25519]; + +#define mul_eltfp25519_1w_adx(c, a, b) do { \ + mul_256x256_integer_adx(buffer_1w, a, b); \ + red_eltfp25519_1w_adx(c, buffer_1w); \ +} while (0) + +#define mul_eltfp25519_1w_bmi2(c, a, b) do { \ + mul_256x256_integer_bmi2(buffer_1w, a, b); \ + red_eltfp25519_1w_bmi2(c, buffer_1w); \ +} while(0) + +#define sqr_eltfp25519_1w_adx(a) do { \ + sqr_256x256_integer_adx(buffer_1w, a); \ + red_eltfp25519_1w_adx(a, buffer_1w); \ +} while (0) + +#define sqr_eltfp25519_1w_bmi2(a) do { \ + sqr_256x256_integer_bmi2(buffer_1w, a); \ + red_eltfp25519_1w_bmi2(a, buffer_1w); \ +} while (0) + +#define mul_eltfp25519_2w_adx(c, a, b) do { \ + mul2_256x256_integer_adx(buffer_2w, a, b); \ + red_eltfp25519_2w_adx(c, buffer_2w); \ +} while (0) + +#define mul_eltfp25519_2w_bmi2(c, a, b) do { \ + mul2_256x256_integer_bmi2(buffer_2w, a, b); \ + red_eltfp25519_2w_bmi2(c, buffer_2w); \ +} while (0) + +#define sqr_eltfp25519_2w_adx(a) do { \ + sqr2_256x256_integer_adx(buffer_2w, a); \ + red_eltfp25519_2w_adx(a, buffer_2w); \ +} while (0) + +#define sqr_eltfp25519_2w_bmi2(a) do { \ + sqr2_256x256_integer_bmi2(buffer_2w, a); \ + red_eltfp25519_2w_bmi2(a, buffer_2w); \ +} while (0) + +#define sqrn_eltfp25519_1w_adx(a, times) do { \ + int ____counter = (times); \ + while (____counter-- > 0) \ + sqr_eltfp25519_1w_adx(a); \ +} while (0) + +#define sqrn_eltfp25519_1w_bmi2(a, times) do { \ + int ____counter = (times); \ + while (____counter-- > 0) \ + sqr_eltfp25519_1w_bmi2(a); \ +} while (0) + +#define copy_eltfp25519_1w(C, A) do { \ + (C)[0] = (A)[0]; \ + (C)[1] = (A)[1]; \ + (C)[2] = (A)[2]; \ + (C)[3] = (A)[3]; \ +} while (0) + +#define setzero_eltfp25519_1w(C) do { \ + (C)[0] = 0; \ + (C)[1] = 0; \ + (C)[2] = 0; \ + (C)[3] = 0; \ +} while (0) + +__aligned(32) static const u64 table_ladder_8k[252 * NUM_WORDS_ELTFP25519] = { + /* 1 */ 0xfffffffffffffff3, 0xffffffffffffffff, 0xffffffffffffffff, 0x5fffffffffffffff, + /* 2 */ 0x6b8220f416aafe96, 0x82ebeb2b4f566a34, 0xd5a9a5b075a5950f, 0x5142b2cf4b2488f4, + /* 3 */ 0x6aaebc750069680c, 0x89cf7820a0f99c41, 0x2a58d9183b56d0f4, 0x4b5aca80e36011a4, + /* 4 */ 0x329132348c29745d, 0xf4a2e616e1642fd7, 0x1e45bb03ff67bc34, 0x306912d0f42a9b4a, + /* 5 */ 0xff886507e6af7154, 0x04f50e13dfeec82f, 0xaa512fe82abab5ce, 0x174e251a68d5f222, + /* 6 */ 0xcf96700d82028898, 0x1743e3370a2c02c5, 0x379eec98b4e86eaa, 0x0c59888a51e0482e, + /* 7 */ 0xfbcbf1d699b5d189, 0xacaef0d58e9fdc84, 0xc1c20d06231f7614, 0x2938218da274f972, + /* 8 */ 0xf6af49beff1d7f18, 0xcc541c22387ac9c2, 0x96fcc9ef4015c56b, 0x69c1627c690913a9, + /* 9 */ 0x7a86fd2f4733db0e, 0xfdb8c4f29e087de9, 0x095e4b1a8ea2a229, 0x1ad7a7c829b37a79, + /* 10 */ 0x342d89cad17ea0c0, 0x67bedda6cced2051, 0x19ca31bf2bb42f74, 0x3df7b4c84980acbb, + /* 11 */ 0xa8c6444dc80ad883, 0xb91e440366e3ab85, 0xc215cda00164f6d8, 0x3d867c6ef247e668, + /* 12 */ 0xc7dd582bcc3e658c, 0xfd2c4748ee0e5528, 0xa0fd9b95cc9f4f71, 0x7529d871b0675ddf, + /* 13 */ 0xb8f568b42d3cbd78, 0x1233011b91f3da82, 0x2dce6ccd4a7c3b62, 0x75e7fc8e9e498603, + /* 14 */ 0x2f4f13f1fcd0b6ec, 0xf1a8ca1f29ff7a45, 0xc249c1a72981e29b, 0x6ebe0dbb8c83b56a, + /* 15 */ 0x7114fa8d170bb222, 0x65a2dcd5bf93935f, 0xbdc41f68b59c979a, 0x2f0eef79a2ce9289, + /* 16 */ 0x42ecbf0c083c37ce, 0x2930bc09ec496322, 0xf294b0c19cfeac0d, 0x3780aa4bedfabb80, + /* 17 */ 0x56c17d3e7cead929, 0xe7cb4beb2e5722c5, 0x0ce931732dbfe15a, 0x41b883c7621052f8, + /* 18 */ 0xdbf75ca0c3d25350, 0x2936be086eb1e351, 0xc936e03cb4a9b212, 0x1d45bf82322225aa, + /* 19 */ 0xe81ab1036a024cc5, 0xe212201c304c9a72, 0xc5d73fba6832b1fc, 0x20ffdb5a4d839581, + /* 20 */ 0xa283d367be5d0fad, 0x6c2b25ca8b164475, 0x9d4935467caaf22e, 0x5166408eee85ff49, + /* 21 */ 0x3c67baa2fab4e361, 0xb3e433c67ef35cef, 0x5259729241159b1c, 0x6a621892d5b0ab33, + /* 22 */ 0x20b74a387555cdcb, 0x532aa10e1208923f, 0xeaa17b7762281dd1, 0x61ab3443f05c44bf, + /* 23 */ 0x257a6c422324def8, 0x131c6c1017e3cf7f, 0x23758739f630a257, 0x295a407a01a78580, + /* 24 */ 0xf8c443246d5da8d9, 0x19d775450c52fa5d, 0x2afcfc92731bf83d, 0x7d10c8e81b2b4700, + /* 25 */ 0xc8e0271f70baa20b, 0x993748867ca63957, 0x5412efb3cb7ed4bb, 0x3196d36173e62975, + /* 26 */ 0xde5bcad141c7dffc, 0x47cc8cd2b395c848, 0xa34cd942e11af3cb, 0x0256dbf2d04ecec2, + /* 27 */ 0x875ab7e94b0e667f, 0xcad4dd83c0850d10, 0x47f12e8f4e72c79f, 0x5f1a87bb8c85b19b, + /* 28 */ 0x7ae9d0b6437f51b8, 0x12c7ce5518879065, 0x2ade09fe5cf77aee, 0x23a05a2f7d2c5627, + /* 29 */ 0x5908e128f17c169a, 0xf77498dd8ad0852d, 0x74b4c4ceab102f64, 0x183abadd10139845, + /* 30 */ 0xb165ba8daa92aaac, 0xd5c5ef9599386705, 0xbe2f8f0cf8fc40d1, 0x2701e635ee204514, + /* 31 */ 0x629fa80020156514, 0xf223868764a8c1ce, 0x5b894fff0b3f060e, 0x60d9944cf708a3fa, + /* 32 */ 0xaeea001a1c7a201f, 0xebf16a633ee2ce63, 0x6f7709594c7a07e1, 0x79b958150d0208cb, + /* 33 */ 0x24b55e5301d410e7, 0xe3a34edff3fdc84d, 0xd88768e4904032d8, 0x131384427b3aaeec, + /* 34 */ 0x8405e51286234f14, 0x14dc4739adb4c529, 0xb8a2b5b250634ffd, 0x2fe2a94ad8a7ff93, + /* 35 */ 0xec5c57efe843fadd, 0x2843ce40f0bb9918, 0xa4b561d6cf3d6305, 0x743629bde8fb777e, + /* 36 */ 0x343edd46bbaf738f, 0xed981828b101a651, 0xa401760b882c797a, 0x1fc223e28dc88730, + /* 37 */ 0x48604e91fc0fba0e, 0xb637f78f052c6fa4, 0x91ccac3d09e9239c, 0x23f7eed4437a687c, + /* 38 */ 0x5173b1118d9bd800, 0x29d641b63189d4a7, 0xfdbf177988bbc586, 0x2959894fcad81df5, + /* 39 */ 0xaebc8ef3b4bbc899, 0x4148995ab26992b9, 0x24e20b0134f92cfb, 0x40d158894a05dee8, + /* 40 */ 0x46b00b1185af76f6, 0x26bac77873187a79, 0x3dc0bf95ab8fff5f, 0x2a608bd8945524d7, + /* 41 */ 0x26449588bd446302, 0x7c4bc21c0388439c, 0x8e98a4f383bd11b2, 0x26218d7bc9d876b9, + /* 42 */ 0xe3081542997c178a, 0x3c2d29a86fb6606f, 0x5c217736fa279374, 0x7dde05734afeb1fa, + /* 43 */ 0x3bf10e3906d42bab, 0xe4f7803e1980649c, 0xe6053bf89595bf7a, 0x394faf38da245530, + /* 44 */ 0x7a8efb58896928f4, 0xfbc778e9cc6a113c, 0x72670ce330af596f, 0x48f222a81d3d6cf7, + /* 45 */ 0xf01fce410d72caa7, 0x5a20ecc7213b5595, 0x7bc21165c1fa1483, 0x07f89ae31da8a741, + /* 46 */ 0x05d2c2b4c6830ff9, 0xd43e330fc6316293, 0xa5a5590a96d3a904, 0x705edb91a65333b6, + /* 47 */ 0x048ee15e0bb9a5f7, 0x3240cfca9e0aaf5d, 0x8f4b71ceedc4a40b, 0x621c0da3de544a6d, + /* 48 */ 0x92872836a08c4091, 0xce8375b010c91445, 0x8a72eb524f276394, 0x2667fcfa7ec83635, + /* 49 */ 0x7f4c173345e8752a, 0x061b47feee7079a5, 0x25dd9afa9f86ff34, 0x3780cef5425dc89c, + /* 50 */ 0x1a46035a513bb4e9, 0x3e1ef379ac575ada, 0xc78c5f1c5fa24b50, 0x321a967634fd9f22, + /* 51 */ 0x946707b8826e27fa, 0x3dca84d64c506fd0, 0xc189218075e91436, 0x6d9284169b3b8484, + /* 52 */ 0x3a67e840383f2ddf, 0x33eec9a30c4f9b75, 0x3ec7c86fa783ef47, 0x26ec449fbac9fbc4, + /* 53 */ 0x5c0f38cba09b9e7d, 0x81168cc762a3478c, 0x3e23b0d306fc121c, 0x5a238aa0a5efdcdd, + /* 54 */ 0x1ba26121c4ea43ff, 0x36f8c77f7c8832b5, 0x88fbea0b0adcf99a, 0x5ca9938ec25bebf9, + /* 55 */ 0xd5436a5e51fccda0, 0x1dbc4797c2cd893b, 0x19346a65d3224a08, 0x0f5034e49b9af466, + /* 56 */ 0xf23c3967a1e0b96e, 0xe58b08fa867a4d88, 0xfb2fabc6a7341679, 0x2a75381eb6026946, + /* 57 */ 0xc80a3be4c19420ac, 0x66b1f6c681f2b6dc, 0x7cf7036761e93388, 0x25abbbd8a660a4c4, + /* 58 */ 0x91ea12ba14fd5198, 0x684950fc4a3cffa9, 0xf826842130f5ad28, 0x3ea988f75301a441, + /* 59 */ 0xc978109a695f8c6f, 0x1746eb4a0530c3f3, 0x444d6d77b4459995, 0x75952b8c054e5cc7, + /* 60 */ 0xa3703f7915f4d6aa, 0x66c346202f2647d8, 0xd01469df811d644b, 0x77fea47d81a5d71f, + /* 61 */ 0xc5e9529ef57ca381, 0x6eeeb4b9ce2f881a, 0xb6e91a28e8009bd6, 0x4b80be3e9afc3fec, + /* 62 */ 0x7e3773c526aed2c5, 0x1b4afcb453c9a49d, 0xa920bdd7baffb24d, 0x7c54699f122d400e, + /* 63 */ 0xef46c8e14fa94bc8, 0xe0b074ce2952ed5e, 0xbea450e1dbd885d5, 0x61b68649320f712c, + /* 64 */ 0x8a485f7309ccbdd1, 0xbd06320d7d4d1a2d, 0x25232973322dbef4, 0x445dc4758c17f770, + /* 65 */ 0xdb0434177cc8933c, 0xed6fe82175ea059f, 0x1efebefdc053db34, 0x4adbe867c65daf99, + /* 66 */ 0x3acd71a2a90609df, 0xe5e991856dd04050, 0x1ec69b688157c23c, 0x697427f6885cfe4d, + /* 67 */ 0xd7be7b9b65e1a851, 0xa03d28d522c536dd, 0x28399d658fd2b645, 0x49e5b7e17c2641e1, + /* 68 */ 0x6f8c3a98700457a4, 0x5078f0a25ebb6778, 0xd13c3ccbc382960f, 0x2e003258a7df84b1, + /* 69 */ 0x8ad1f39be6296a1c, 0xc1eeaa652a5fbfb2, 0x33ee0673fd26f3cb, 0x59256173a69d2ccc, + /* 70 */ 0x41ea07aa4e18fc41, 0xd9fc19527c87a51e, 0xbdaacb805831ca6f, 0x445b652dc916694f, + /* 71 */ 0xce92a3a7f2172315, 0x1edc282de11b9964, 0xa1823aafe04c314a, 0x790a2d94437cf586, + /* 72 */ 0x71c447fb93f6e009, 0x8922a56722845276, 0xbf70903b204f5169, 0x2f7a89891ba319fe, + /* 73 */ 0x02a08eb577e2140c, 0xed9a4ed4427bdcf4, 0x5253ec44e4323cd1, 0x3e88363c14e9355b, + /* 74 */ 0xaa66c14277110b8c, 0x1ae0391610a23390, 0x2030bd12c93fc2a2, 0x3ee141579555c7ab, + /* 75 */ 0x9214de3a6d6e7d41, 0x3ccdd88607f17efe, 0x674f1288f8e11217, 0x5682250f329f93d0, + /* 76 */ 0x6cf00b136d2e396e, 0x6e4cf86f1014debf, 0x5930b1b5bfcc4e83, 0x047069b48aba16b6, + /* 77 */ 0x0d4ce4ab69b20793, 0xb24db91a97d0fb9e, 0xcdfa50f54e00d01d, 0x221b1085368bddb5, + /* 78 */ 0xe7e59468b1e3d8d2, 0x53c56563bd122f93, 0xeee8a903e0663f09, 0x61efa662cbbe3d42, + /* 79 */ 0x2cf8ddddde6eab2a, 0x9bf80ad51435f231, 0x5deadacec9f04973, 0x29275b5d41d29b27, + /* 80 */ 0xcfde0f0895ebf14f, 0xb9aab96b054905a7, 0xcae80dd9a1c420fd, 0x0a63bf2f1673bbc7, + /* 81 */ 0x092f6e11958fbc8c, 0x672a81e804822fad, 0xcac8351560d52517, 0x6f3f7722c8f192f8, + /* 82 */ 0xf8ba90ccc2e894b7, 0x2c7557a438ff9f0d, 0x894d1d855ae52359, 0x68e122157b743d69, + /* 83 */ 0xd87e5570cfb919f3, 0x3f2cdecd95798db9, 0x2121154710c0a2ce, 0x3c66a115246dc5b2, + /* 84 */ 0xcbedc562294ecb72, 0xba7143c36a280b16, 0x9610c2efd4078b67, 0x6144735d946a4b1e, + /* 85 */ 0x536f111ed75b3350, 0x0211db8c2041d81b, 0xf93cb1000e10413c, 0x149dfd3c039e8876, + /* 86 */ 0xd479dde46b63155b, 0xb66e15e93c837976, 0xdafde43b1f13e038, 0x5fafda1a2e4b0b35, + /* 87 */ 0x3600bbdf17197581, 0x3972050bbe3cd2c2, 0x5938906dbdd5be86, 0x34fce5e43f9b860f, + /* 88 */ 0x75a8a4cd42d14d02, 0x828dabc53441df65, 0x33dcabedd2e131d3, 0x3ebad76fb814d25f, + /* 89 */ 0xd4906f566f70e10f, 0x5d12f7aa51690f5a, 0x45adb16e76cefcf2, 0x01f768aead232999, + /* 90 */ 0x2b6cc77b6248febd, 0x3cd30628ec3aaffd, 0xce1c0b80d4ef486a, 0x4c3bff2ea6f66c23, + /* 91 */ 0x3f2ec4094aeaeb5f, 0x61b19b286e372ca7, 0x5eefa966de2a701d, 0x23b20565de55e3ef, + /* 92 */ 0xe301ca5279d58557, 0x07b2d4ce27c2874f, 0xa532cd8a9dcf1d67, 0x2a52fee23f2bff56, + /* 93 */ 0x8624efb37cd8663d, 0xbbc7ac20ffbd7594, 0x57b85e9c82d37445, 0x7b3052cb86a6ec66, + /* 94 */ 0x3482f0ad2525e91e, 0x2cb68043d28edca0, 0xaf4f6d052e1b003a, 0x185f8c2529781b0a, + /* 95 */ 0xaa41de5bd80ce0d6, 0x9407b2416853e9d6, 0x563ec36e357f4c3a, 0x4cc4b8dd0e297bce, + /* 96 */ 0xa2fc1a52ffb8730e, 0x1811f16e67058e37, 0x10f9a366cddf4ee1, 0x72f4a0c4a0b9f099, + /* 97 */ 0x8c16c06f663f4ea7, 0x693b3af74e970fba, 0x2102e7f1d69ec345, 0x0ba53cbc968a8089, + /* 98 */ 0xca3d9dc7fea15537, 0x4c6824bb51536493, 0xb9886314844006b1, 0x40d2a72ab454cc60, + /* 99 */ 0x5936a1b712570975, 0x91b9d648debda657, 0x3344094bb64330ea, 0x006ba10d12ee51d0, + /* 100 */ 0x19228468f5de5d58, 0x0eb12f4c38cc05b0, 0xa1039f9dd5601990, 0x4502d4ce4fff0e0b, + /* 101 */ 0xeb2054106837c189, 0xd0f6544c6dd3b93c, 0x40727064c416d74f, 0x6e15c6114b502ef0, + /* 102 */ 0x4df2a398cfb1a76b, 0x11256c7419f2f6b1, 0x4a497962066e6043, 0x705b3aab41355b44, + /* 103 */ 0x365ef536d797b1d8, 0x00076bd622ddf0db, 0x3bbf33b0e0575a88, 0x3777aa05c8e4ca4d, + /* 104 */ 0x392745c85578db5f, 0x6fda4149dbae5ae2, 0xb1f0b00b8adc9867, 0x09963437d36f1da3, + /* 105 */ 0x7e824e90a5dc3853, 0xccb5f6641f135cbd, 0x6736d86c87ce8fcc, 0x625f3ce26604249f, + /* 106 */ 0xaf8ac8059502f63f, 0x0c05e70a2e351469, 0x35292e9c764b6305, 0x1a394360c7e23ac3, + /* 107 */ 0xd5c6d53251183264, 0x62065abd43c2b74f, 0xb5fbf5d03b973f9b, 0x13a3da3661206e5e, + /* 108 */ 0xc6bd5837725d94e5, 0x18e30912205016c5, 0x2088ce1570033c68, 0x7fba1f495c837987, + /* 109 */ 0x5a8c7423f2f9079d, 0x1735157b34023fc5, 0xe4f9b49ad2fab351, 0x6691ff72c878e33c, + /* 110 */ 0x122c2adedc5eff3e, 0xf8dd4bf1d8956cf4, 0xeb86205d9e9e5bda, 0x049b92b9d975c743, + /* 111 */ 0xa5379730b0f6c05a, 0x72a0ffacc6f3a553, 0xb0032c34b20dcd6d, 0x470e9dbc88d5164a, + /* 112 */ 0xb19cf10ca237c047, 0xb65466711f6c81a2, 0xb3321bd16dd80b43, 0x48c14f600c5fbe8e, + /* 113 */ 0x66451c264aa6c803, 0xb66e3904a4fa7da6, 0xd45f19b0b3128395, 0x31602627c3c9bc10, + /* 114 */ 0x3120dc4832e4e10d, 0xeb20c46756c717f7, 0x00f52e3f67280294, 0x566d4fc14730c509, + /* 115 */ 0x7e3a5d40fd837206, 0xc1e926dc7159547a, 0x216730fba68d6095, 0x22e8c3843f69cea7, + /* 116 */ 0x33d074e8930e4b2b, 0xb6e4350e84d15816, 0x5534c26ad6ba2365, 0x7773c12f89f1f3f3, + /* 117 */ 0x8cba404da57962aa, 0x5b9897a81999ce56, 0x508e862f121692fc, 0x3a81907fa093c291, + /* 118 */ 0x0dded0ff4725a510, 0x10d8cc10673fc503, 0x5b9d151c9f1f4e89, 0x32a5c1d5cb09a44c, + /* 119 */ 0x1e0aa442b90541fb, 0x5f85eb7cc1b485db, 0xbee595ce8a9df2e5, 0x25e496c722422236, + /* 120 */ 0x5edf3c46cd0fe5b9, 0x34e75a7ed2a43388, 0xe488de11d761e352, 0x0e878a01a085545c, + /* 121 */ 0xba493c77e021bb04, 0x2b4d1843c7df899a, 0x9ea37a487ae80d67, 0x67a9958011e41794, + /* 122 */ 0x4b58051a6697b065, 0x47e33f7d8d6ba6d4, 0xbb4da8d483ca46c1, 0x68becaa181c2db0d, + /* 123 */ 0x8d8980e90b989aa5, 0xf95eb14a2c93c99b, 0x51c6c7c4796e73a2, 0x6e228363b5efb569, + /* 124 */ 0xc6bbc0b02dd624c8, 0x777eb47dec8170ee, 0x3cde15a004cfafa9, 0x1dc6bc087160bf9b, + /* 125 */ 0x2e07e043eec34002, 0x18e9fc677a68dc7f, 0xd8da03188bd15b9a, 0x48fbc3bb00568253, + /* 126 */ 0x57547d4cfb654ce1, 0xd3565b82a058e2ad, 0xf63eaf0bbf154478, 0x47531ef114dfbb18, + /* 127 */ 0xe1ec630a4278c587, 0x5507d546ca8e83f3, 0x85e135c63adc0c2b, 0x0aa7efa85682844e, + /* 128 */ 0x72691ba8b3e1f615, 0x32b4e9701fbe3ffa, 0x97b6d92e39bb7868, 0x2cfe53dea02e39e8, + /* 129 */ 0x687392cd85cd52b0, 0x27ff66c910e29831, 0x97134556a9832d06, 0x269bb0360a84f8a0, + /* 130 */ 0x706e55457643f85c, 0x3734a48c9b597d1b, 0x7aee91e8c6efa472, 0x5cd6abc198a9d9e0, + /* 131 */ 0x0e04de06cb3ce41a, 0xd8c6eb893402e138, 0x904659bb686e3772, 0x7215c371746ba8c8, + /* 132 */ 0xfd12a97eeae4a2d9, 0x9514b7516394f2c5, 0x266fd5809208f294, 0x5c847085619a26b9, + /* 133 */ 0x52985410fed694ea, 0x3c905b934a2ed254, 0x10bb47692d3be467, 0x063b3d2d69e5e9e1, + /* 134 */ 0x472726eedda57deb, 0xefb6c4ae10f41891, 0x2b1641917b307614, 0x117c554fc4f45b7c, + /* 135 */ 0xc07cf3118f9d8812, 0x01dbd82050017939, 0xd7e803f4171b2827, 0x1015e87487d225ea, + /* 136 */ 0xc58de3fed23acc4d, 0x50db91c294a7be2d, 0x0b94d43d1c9cf457, 0x6b1640fa6e37524a, + /* 137 */ 0x692f346c5fda0d09, 0x200b1c59fa4d3151, 0xb8c46f760777a296, 0x4b38395f3ffdfbcf, + /* 138 */ 0x18d25e00be54d671, 0x60d50582bec8aba6, 0x87ad8f263b78b982, 0x50fdf64e9cda0432, + /* 139 */ 0x90f567aac578dcf0, 0xef1e9b0ef2a3133b, 0x0eebba9242d9de71, 0x15473c9bf03101c7, + /* 140 */ 0x7c77e8ae56b78095, 0xb678e7666e6f078e, 0x2da0b9615348ba1f, 0x7cf931c1ff733f0b, + /* 141 */ 0x26b357f50a0a366c, 0xe9708cf42b87d732, 0xc13aeea5f91cb2c0, 0x35d90c991143bb4c, + /* 142 */ 0x47c1c404a9a0d9dc, 0x659e58451972d251, 0x3875a8c473b38c31, 0x1fbd9ed379561f24, + /* 143 */ 0x11fabc6fd41ec28d, 0x7ef8dfe3cd2a2dca, 0x72e73b5d8c404595, 0x6135fa4954b72f27, + /* 144 */ 0xccfc32a2de24b69c, 0x3f55698c1f095d88, 0xbe3350ed5ac3f929, 0x5e9bf806ca477eeb, + /* 145 */ 0xe9ce8fb63c309f68, 0x5376f63565e1f9f4, 0xd1afcfb35a6393f1, 0x6632a1ede5623506, + /* 146 */ 0x0b7d6c390c2ded4c, 0x56cb3281df04cb1f, 0x66305a1249ecc3c7, 0x5d588b60a38ca72a, + /* 147 */ 0xa6ecbf78e8e5f42d, 0x86eeb44b3c8a3eec, 0xec219c48fbd21604, 0x1aaf1af517c36731, + /* 148 */ 0xc306a2836769bde7, 0x208280622b1e2adb, 0x8027f51ffbff94a6, 0x76cfa1ce1124f26b, + /* 149 */ 0x18eb00562422abb6, 0xf377c4d58f8c29c3, 0x4dbbc207f531561a, 0x0253b7f082128a27, + /* 150 */ 0x3d1f091cb62c17e0, 0x4860e1abd64628a9, 0x52d17436309d4253, 0x356f97e13efae576, + /* 151 */ 0xd351e11aa150535b, 0x3e6b45bb1dd878cc, 0x0c776128bed92c98, 0x1d34ae93032885b8, + /* 152 */ 0x4ba0488ca85ba4c3, 0x985348c33c9ce6ce, 0x66124c6f97bda770, 0x0f81a0290654124a, + /* 153 */ 0x9ed09ca6569b86fd, 0x811009fd18af9a2d, 0xff08d03f93d8c20a, 0x52a148199faef26b, + /* 154 */ 0x3e03f9dc2d8d1b73, 0x4205801873961a70, 0xc0d987f041a35970, 0x07aa1f15a1c0d549, + /* 155 */ 0xdfd46ce08cd27224, 0x6d0a024f934e4239, 0x808a7a6399897b59, 0x0a4556e9e13d95a2, + /* 156 */ 0xd21a991fe9c13045, 0x9b0e8548fe7751b8, 0x5da643cb4bf30035, 0x77db28d63940f721, + /* 157 */ 0xfc5eeb614adc9011, 0x5229419ae8c411eb, 0x9ec3e7787d1dcf74, 0x340d053e216e4cb5, + /* 158 */ 0xcac7af39b48df2b4, 0xc0faec2871a10a94, 0x140a69245ca575ed, 0x0cf1c37134273a4c, + /* 159 */ 0xc8ee306ac224b8a5, 0x57eaee7ccb4930b0, 0xa1e806bdaacbe74f, 0x7d9a62742eeb657d, + /* 160 */ 0x9eb6b6ef546c4830, 0x885cca1fddb36e2e, 0xe6b9f383ef0d7105, 0x58654fef9d2e0412, + /* 161 */ 0xa905c4ffbe0e8e26, 0x942de5df9b31816e, 0x497d723f802e88e1, 0x30684dea602f408d, + /* 162 */ 0x21e5a278a3e6cb34, 0xaefb6e6f5b151dc4, 0xb30b8e049d77ca15, 0x28c3c9cf53b98981, + /* 163 */ 0x287fb721556cdd2a, 0x0d317ca897022274, 0x7468c7423a543258, 0x4a7f11464eb5642f, + /* 164 */ 0xa237a4774d193aa6, 0xd865986ea92129a1, 0x24c515ecf87c1a88, 0x604003575f39f5eb, + /* 165 */ 0x47b9f189570a9b27, 0x2b98cede465e4b78, 0x026df551dbb85c20, 0x74fcd91047e21901, + /* 166 */ 0x13e2a90a23c1bfa3, 0x0cb0074e478519f6, 0x5ff1cbbe3af6cf44, 0x67fe5438be812dbe, + /* 167 */ 0xd13cf64fa40f05b0, 0x054dfb2f32283787, 0x4173915b7f0d2aea, 0x482f144f1f610d4e, + /* 168 */ 0xf6210201b47f8234, 0x5d0ae1929e70b990, 0xdcd7f455b049567c, 0x7e93d0f1f0916f01, + /* 169 */ 0xdd79cbf18a7db4fa, 0xbe8391bf6f74c62f, 0x027145d14b8291bd, 0x585a73ea2cbf1705, + /* 170 */ 0x485ca03e928a0db2, 0x10fc01a5742857e7, 0x2f482edbd6d551a7, 0x0f0433b5048fdb8a, + /* 171 */ 0x60da2e8dd7dc6247, 0x88b4c9d38cd4819a, 0x13033ac001f66697, 0x273b24fe3b367d75, + /* 172 */ 0xc6e8f66a31b3b9d4, 0x281514a494df49d5, 0xd1726fdfc8b23da7, 0x4b3ae7d103dee548, + /* 173 */ 0xc6256e19ce4b9d7e, 0xff5c5cf186e3c61c, 0xacc63ca34b8ec145, 0x74621888fee66574, + /* 174 */ 0x956f409645290a1e, 0xef0bf8e3263a962e, 0xed6a50eb5ec2647b, 0x0694283a9dca7502, + /* 175 */ 0x769b963643a2dcd1, 0x42b7c8ea09fc5353, 0x4f002aee13397eab, 0x63005e2c19b7d63a, + /* 176 */ 0xca6736da63023bea, 0x966c7f6db12a99b7, 0xace09390c537c5e1, 0x0b696063a1aa89ee, + /* 177 */ 0xebb03e97288c56e5, 0x432a9f9f938c8be8, 0xa6a5a93d5b717f71, 0x1a5fb4c3e18f9d97, + /* 178 */ 0x1c94e7ad1c60cdce, 0xee202a43fc02c4a0, 0x8dafe4d867c46a20, 0x0a10263c8ac27b58, + /* 179 */ 0xd0dea9dfe4432a4a, 0x856af87bbe9277c5, 0xce8472acc212c71a, 0x6f151b6d9bbb1e91, + /* 180 */ 0x26776c527ceed56a, 0x7d211cb7fbf8faec, 0x37ae66a6fd4609cc, 0x1f81b702d2770c42, + /* 181 */ 0x2fb0b057eac58392, 0xe1dd89fe29744e9d, 0xc964f8eb17beb4f8, 0x29571073c9a2d41e, + /* 182 */ 0xa948a18981c0e254, 0x2df6369b65b22830, 0xa33eb2d75fcfd3c6, 0x078cd6ec4199a01f, + /* 183 */ 0x4a584a41ad900d2f, 0x32142b78e2c74c52, 0x68c4e8338431c978, 0x7f69ea9008689fc2, + /* 184 */ 0x52f2c81e46a38265, 0xfd78072d04a832fd, 0x8cd7d5fa25359e94, 0x4de71b7454cc29d2, + /* 185 */ 0x42eb60ad1eda6ac9, 0x0aad37dfdbc09c3a, 0x81004b71e33cc191, 0x44e6be345122803c, + /* 186 */ 0x03fe8388ba1920db, 0xf5d57c32150db008, 0x49c8c4281af60c29, 0x21edb518de701aee, + /* 187 */ 0x7fb63e418f06dc99, 0xa4460d99c166d7b8, 0x24dd5248ce520a83, 0x5ec3ad712b928358, + /* 188 */ 0x15022a5fbd17930f, 0xa4f64a77d82570e3, 0x12bc8d6915783712, 0x498194c0fc620abb, + /* 189 */ 0x38a2d9d255686c82, 0x785c6bd9193e21f0, 0xe4d5c81ab24a5484, 0x56307860b2e20989, + /* 190 */ 0x429d55f78b4d74c4, 0x22f1834643350131, 0x1e60c24598c71fff, 0x59f2f014979983ef, + /* 191 */ 0x46a47d56eb494a44, 0x3e22a854d636a18e, 0xb346e15274491c3b, 0x2ceafd4e5390cde7, + /* 192 */ 0xba8a8538be0d6675, 0x4b9074bb50818e23, 0xcbdab89085d304c3, 0x61a24fe0e56192c4, + /* 193 */ 0xcb7615e6db525bcb, 0xdd7d8c35a567e4ca, 0xe6b4153acafcdd69, 0x2d668e097f3c9766, + /* 194 */ 0xa57e7e265ce55ef0, 0x5d9f4e527cd4b967, 0xfbc83606492fd1e5, 0x090d52beb7c3f7ae, + /* 195 */ 0x09b9515a1e7b4d7c, 0x1f266a2599da44c0, 0xa1c49548e2c55504, 0x7ef04287126f15cc, + /* 196 */ 0xfed1659dbd30ef15, 0x8b4ab9eec4e0277b, 0x884d6236a5df3291, 0x1fd96ea6bf5cf788, + /* 197 */ 0x42a161981f190d9a, 0x61d849507e6052c1, 0x9fe113bf285a2cd5, 0x7c22d676dbad85d8, + /* 198 */ 0x82e770ed2bfbd27d, 0x4c05b2ece996f5a5, 0xcd40a9c2b0900150, 0x5895319213d9bf64, + /* 199 */ 0xe7cc5d703fea2e08, 0xb50c491258e2188c, 0xcce30baa48205bf0, 0x537c659ccfa32d62, + /* 200 */ 0x37b6623a98cfc088, 0xfe9bed1fa4d6aca4, 0x04d29b8e56a8d1b0, 0x725f71c40b519575, + /* 201 */ 0x28c7f89cd0339ce6, 0x8367b14469ddc18b, 0x883ada83a6a1652c, 0x585f1974034d6c17, + /* 202 */ 0x89cfb266f1b19188, 0xe63b4863e7c35217, 0xd88c9da6b4c0526a, 0x3e035c9df0954635, + /* 203 */ 0xdd9d5412fb45de9d, 0xdd684532e4cff40d, 0x4b5c999b151d671c, 0x2d8c2cc811e7f690, + /* 204 */ 0x7f54be1d90055d40, 0xa464c5df464aaf40, 0x33979624f0e917be, 0x2c018dc527356b30, + /* 205 */ 0xa5415024e330b3d4, 0x73ff3d96691652d3, 0x94ec42c4ef9b59f1, 0x0747201618d08e5a, + /* 206 */ 0x4d6ca48aca411c53, 0x66415f2fcfa66119, 0x9c4dd40051e227ff, 0x59810bc09a02f7eb, + /* 207 */ 0x2a7eb171b3dc101d, 0x441c5ab99ffef68e, 0x32025c9b93b359ea, 0x5e8ce0a71e9d112f, + /* 208 */ 0xbfcccb92429503fd, 0xd271ba752f095d55, 0x345ead5e972d091e, 0x18c8df11a83103ba, + /* 209 */ 0x90cd949a9aed0f4c, 0xc5d1f4cb6660e37e, 0xb8cac52d56c52e0b, 0x6e42e400c5808e0d, + /* 210 */ 0xa3b46966eeaefd23, 0x0c4f1f0be39ecdca, 0x189dc8c9d683a51d, 0x51f27f054c09351b, + /* 211 */ 0x4c487ccd2a320682, 0x587ea95bb3df1c96, 0xc8ccf79e555cb8e8, 0x547dc829a206d73d, + /* 212 */ 0xb822a6cd80c39b06, 0xe96d54732000d4c6, 0x28535b6f91463b4d, 0x228f4660e2486e1d, + /* 213 */ 0x98799538de8d3abf, 0x8cd8330045ebca6e, 0x79952a008221e738, 0x4322e1a7535cd2bb, + /* 214 */ 0xb114c11819d1801c, 0x2016e4d84f3f5ec7, 0xdd0e2df409260f4c, 0x5ec362c0ae5f7266, + /* 215 */ 0xc0462b18b8b2b4ee, 0x7cc8d950274d1afb, 0xf25f7105436b02d2, 0x43bbf8dcbff9ccd3, + /* 216 */ 0xb6ad1767a039e9df, 0xb0714da8f69d3583, 0x5e55fa18b42931f5, 0x4ed5558f33c60961, + /* 217 */ 0x1fe37901c647a5dd, 0x593ddf1f8081d357, 0x0249a4fd813fd7a6, 0x69acca274e9caf61, + /* 218 */ 0x047ba3ea330721c9, 0x83423fc20e7e1ea0, 0x1df4c0af01314a60, 0x09a62dab89289527, + /* 219 */ 0xa5b325a49cc6cb00, 0xe94b5dc654b56cb6, 0x3be28779adc994a0, 0x4296e8f8ba3a4aad, + /* 220 */ 0x328689761e451eab, 0x2e4d598bff59594a, 0x49b96853d7a7084a, 0x4980a319601420a8, + /* 221 */ 0x9565b9e12f552c42, 0x8a5318db7100fe96, 0x05c90b4d43add0d7, 0x538b4cd66a5d4eda, + /* 222 */ 0xf4e94fc3e89f039f, 0x592c9af26f618045, 0x08a36eb5fd4b9550, 0x25fffaf6c2ed1419, + /* 223 */ 0x34434459cc79d354, 0xeeecbfb4b1d5476b, 0xddeb34a061615d99, 0x5129cecceb64b773, + /* 224 */ 0xee43215894993520, 0x772f9c7cf14c0b3b, 0xd2e2fce306bedad5, 0x715f42b546f06a97, + /* 225 */ 0x434ecdceda5b5f1a, 0x0da17115a49741a9, 0x680bd77c73edad2e, 0x487c02354edd9041, + /* 226 */ 0xb8efeff3a70ed9c4, 0x56a32aa3e857e302, 0xdf3a68bd48a2a5a0, 0x07f650b73176c444, + /* 227 */ 0xe38b9b1626e0ccb1, 0x79e053c18b09fb36, 0x56d90319c9f94964, 0x1ca941e7ac9ff5c4, + /* 228 */ 0x49c4df29162fa0bb, 0x8488cf3282b33305, 0x95dfda14cabb437d, 0x3391f78264d5ad86, + /* 229 */ 0x729ae06ae2b5095d, 0xd58a58d73259a946, 0xe9834262d13921ed, 0x27fedafaa54bb592, + /* 230 */ 0xa99dc5b829ad48bb, 0x5f025742499ee260, 0x802c8ecd5d7513fd, 0x78ceb3ef3f6dd938, + /* 231 */ 0xc342f44f8a135d94, 0x7b9edb44828cdda3, 0x9436d11a0537cfe7, 0x5064b164ec1ab4c8, + /* 232 */ 0x7020eccfd37eb2fc, 0x1f31ea3ed90d25fc, 0x1b930d7bdfa1bb34, 0x5344467a48113044, + /* 233 */ 0x70073170f25e6dfb, 0xe385dc1a50114cc8, 0x2348698ac8fc4f00, 0x2a77a55284dd40d8, + /* 234 */ 0xfe06afe0c98c6ce4, 0xc235df96dddfd6e4, 0x1428d01e33bf1ed3, 0x785768ec9300bdaf, + /* 235 */ 0x9702e57a91deb63b, 0x61bdb8bfe5ce8b80, 0x645b426f3d1d58ac, 0x4804a82227a557bc, + /* 236 */ 0x8e57048ab44d2601, 0x68d6501a4b3a6935, 0xc39c9ec3f9e1c293, 0x4172f257d4de63e2, + /* 237 */ 0xd368b450330c6401, 0x040d3017418f2391, 0x2c34bb6090b7d90d, 0x16f649228fdfd51f, + /* 238 */ 0xbea6818e2b928ef5, 0xe28ccf91cdc11e72, 0x594aaa68e77a36cd, 0x313034806c7ffd0f, + /* 239 */ 0x8a9d27ac2249bd65, 0x19a3b464018e9512, 0xc26ccff352b37ec7, 0x056f68341d797b21, + /* 240 */ 0x5e79d6757efd2327, 0xfabdbcb6553afe15, 0xd3e7222c6eaf5a60, 0x7046c76d4dae743b, + /* 241 */ 0x660be872b18d4a55, 0x19992518574e1496, 0xc103053a302bdcbb, 0x3ed8e9800b218e8e, + /* 242 */ 0x7b0b9239fa75e03e, 0xefe9fb684633c083, 0x98a35fbe391a7793, 0x6065510fe2d0fe34, + /* 243 */ 0x55cb668548abad0c, 0xb4584548da87e527, 0x2c43ecea0107c1dd, 0x526028809372de35, + /* 244 */ 0x3415c56af9213b1f, 0x5bee1a4d017e98db, 0x13f6b105b5cf709b, 0x5ff20e3482b29ab6, + /* 245 */ 0x0aa29c75cc2e6c90, 0xfc7d73ca3a70e206, 0x899fc38fc4b5c515, 0x250386b124ffc207, + /* 246 */ 0x54ea28d5ae3d2b56, 0x9913149dd6de60ce, 0x16694fc58f06d6c1, 0x46b23975eb018fc7, + /* 247 */ 0x470a6a0fb4b7b4e2, 0x5d92475a8f7253de, 0xabeee5b52fbd3adb, 0x7fa20801a0806968, + /* 248 */ 0x76f3faf19f7714d2, 0xb3e840c12f4660c3, 0x0fb4cd8df212744e, 0x4b065a251d3a2dd2, + /* 249 */ 0x5cebde383d77cd4a, 0x6adf39df882c9cb1, 0xa2dd242eb09af759, 0x3147c0e50e5f6422, + /* 250 */ 0x164ca5101d1350db, 0xf8d13479c33fc962, 0xe640ce4d13e5da08, 0x4bdee0c45061f8ba, + /* 251 */ 0xd7c46dc1a4edb1c9, 0x5514d7b6437fd98a, 0x58942f6bb2a1c00b, 0x2dffb2ab1d70710e, + /* 252 */ 0xccdfcf2fc18b6d68, 0xa8ebcba8b7806167, 0x980697f95e2937e3, 0x02fbba1cd0126e8c +}; + +/* c is two 512-bit products: c0[0:7]=a0[0:3]*b0[0:3] and c1[8:15]=a1[4:7]*b1[4:7] + * a is two 256-bit integers: a0[0:3] and a1[4:7] + * b is two 256-bit integers: b0[0:3] and b1[4:7] + */ +static void mul2_256x256_integer_adx(u64 *const c, u64 *const a, u64 *const b) +{ + asm volatile( + "xorl %%r14d, %%r14d ;" + "movq (%1), %%rdx; " /* A[0] */ + "mulx (%2), %%r8, %%r12; " /* A[0]*B[0] */ + "xorl %%r10d, %%r10d ;" + "movq %%r8, (%0) ;" + "mulx 8(%2), %%r10, %%rax; " /* A[0]*B[1] */ + "adox %%r10, %%r12 ;" + "mulx 16(%2), %%r8, %%rbx; " /* A[0]*B[2] */ + "adox %%r8, %%rax ;" + "mulx 24(%2), %%r10, %%rcx; " /* A[0]*B[3] */ + "adox %%r10, %%rbx ;" + /******************************************/ + "adox %%r14, %%rcx ;" + + "movq 8(%1), %%rdx; " /* A[1] */ + "mulx (%2), %%r8, %%r9; " /* A[1]*B[0] */ + "adox %%r12, %%r8 ;" + "movq %%r8, 8(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[1]*B[1] */ + "adox %%r10, %%r9 ;" + "adcx %%r9, %%rax ;" + "mulx 16(%2), %%r8, %%r13; " /* A[1]*B[2] */ + "adox %%r8, %%r11 ;" + "adcx %%r11, %%rbx ;" + "mulx 24(%2), %%r10, %%r12; " /* A[1]*B[3] */ + "adox %%r10, %%r13 ;" + "adcx %%r13, %%rcx ;" + /******************************************/ + "adox %%r14, %%r12 ;" + "adcx %%r14, %%r12 ;" + + "movq 16(%1), %%rdx; " /* A[2] */ + "xorl %%r10d, %%r10d ;" + "mulx (%2), %%r8, %%r9; " /* A[2]*B[0] */ + "adox %%rax, %%r8 ;" + "movq %%r8, 16(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[2]*B[1] */ + "adox %%r10, %%r9 ;" + "adcx %%r9, %%rbx ;" + "mulx 16(%2), %%r8, %%r13; " /* A[2]*B[2] */ + "adox %%r8, %%r11 ;" + "adcx %%r11, %%rcx ;" + "mulx 24(%2), %%r10, %%rax; " /* A[2]*B[3] */ + "adox %%r10, %%r13 ;" + "adcx %%r13, %%r12 ;" + /******************************************/ + "adox %%r14, %%rax ;" + "adcx %%r14, %%rax ;" + + "movq 24(%1), %%rdx; " /* A[3] */ + "xorl %%r10d, %%r10d ;" + "mulx (%2), %%r8, %%r9; " /* A[3]*B[0] */ + "adox %%rbx, %%r8 ;" + "movq %%r8, 24(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[3]*B[1] */ + "adox %%r10, %%r9 ;" + "adcx %%r9, %%rcx ;" + "movq %%rcx, 32(%0) ;" + "mulx 16(%2), %%r8, %%r13; " /* A[3]*B[2] */ + "adox %%r8, %%r11 ;" + "adcx %%r11, %%r12 ;" + "movq %%r12, 40(%0) ;" + "mulx 24(%2), %%r10, %%rbx; " /* A[3]*B[3] */ + "adox %%r10, %%r13 ;" + "adcx %%r13, %%rax ;" + "movq %%rax, 48(%0) ;" + /******************************************/ + "adox %%r14, %%rbx ;" + "adcx %%r14, %%rbx ;" + "movq %%rbx, 56(%0) ;" + + "movq 32(%1), %%rdx; " /* C[0] */ + "mulx 32(%2), %%r8, %%r12; " /* C[0]*D[0] */ + "xorl %%r10d, %%r10d ;" + "movq %%r8, 64(%0);" + "mulx 40(%2), %%r10, %%rax; " /* C[0]*D[1] */ + "adox %%r10, %%r12 ;" + "mulx 48(%2), %%r8, %%rbx; " /* C[0]*D[2] */ + "adox %%r8, %%rax ;" + "mulx 56(%2), %%r10, %%rcx; " /* C[0]*D[3] */ + "adox %%r10, %%rbx ;" + /******************************************/ + "adox %%r14, %%rcx ;" + + "movq 40(%1), %%rdx; " /* C[1] */ + "xorl %%r10d, %%r10d ;" + "mulx 32(%2), %%r8, %%r9; " /* C[1]*D[0] */ + "adox %%r12, %%r8 ;" + "movq %%r8, 72(%0);" + "mulx 40(%2), %%r10, %%r11; " /* C[1]*D[1] */ + "adox %%r10, %%r9 ;" + "adcx %%r9, %%rax ;" + "mulx 48(%2), %%r8, %%r13; " /* C[1]*D[2] */ + "adox %%r8, %%r11 ;" + "adcx %%r11, %%rbx ;" + "mulx 56(%2), %%r10, %%r12; " /* C[1]*D[3] */ + "adox %%r10, %%r13 ;" + "adcx %%r13, %%rcx ;" + /******************************************/ + "adox %%r14, %%r12 ;" + "adcx %%r14, %%r12 ;" + + "movq 48(%1), %%rdx; " /* C[2] */ + "xorl %%r10d, %%r10d ;" + "mulx 32(%2), %%r8, %%r9; " /* C[2]*D[0] */ + "adox %%rax, %%r8 ;" + "movq %%r8, 80(%0);" + "mulx 40(%2), %%r10, %%r11; " /* C[2]*D[1] */ + "adox %%r10, %%r9 ;" + "adcx %%r9, %%rbx ;" + "mulx 48(%2), %%r8, %%r13; " /* C[2]*D[2] */ + "adox %%r8, %%r11 ;" + "adcx %%r11, %%rcx ;" + "mulx 56(%2), %%r10, %%rax; " /* C[2]*D[3] */ + "adox %%r10, %%r13 ;" + "adcx %%r13, %%r12 ;" + /******************************************/ + "adox %%r14, %%rax ;" + "adcx %%r14, %%rax ;" + + "movq 56(%1), %%rdx; " /* C[3] */ + "xorl %%r10d, %%r10d ;" + "mulx 32(%2), %%r8, %%r9; " /* C[3]*D[0] */ + "adox %%rbx, %%r8 ;" + "movq %%r8, 88(%0);" + "mulx 40(%2), %%r10, %%r11; " /* C[3]*D[1] */ + "adox %%r10, %%r9 ;" + "adcx %%r9, %%rcx ;" + "movq %%rcx, 96(%0) ;" + "mulx 48(%2), %%r8, %%r13; " /* C[3]*D[2] */ + "adox %%r8, %%r11 ;" + "adcx %%r11, %%r12 ;" + "movq %%r12, 104(%0) ;" + "mulx 56(%2), %%r10, %%rbx; " /* C[3]*D[3] */ + "adox %%r10, %%r13 ;" + "adcx %%r13, %%rax ;" + "movq %%rax, 112(%0) ;" + /******************************************/ + "adox %%r14, %%rbx ;" + "adcx %%r14, %%rbx ;" + "movq %%rbx, 120(%0) ;" + : + : "r"(c), "r"(a), "r"(b) + : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14"); +} + +static void mul2_256x256_integer_bmi2(u64 *const c, u64 *const a, u64 *const b) +{ + asm volatile( + "movq (%1), %%rdx; " /* A[0] */ + "mulx (%2), %%r8, %%r12; " /* A[0]*B[0] */ + "movq %%r8, (%0) ;" + "mulx 8(%2), %%r10, %%rax; " /* A[0]*B[1] */ + "addq %%r10, %%r12 ;" + "mulx 16(%2), %%r8, %%rbx; " /* A[0]*B[2] */ + "adcq %%r8, %%rax ;" + "mulx 24(%2), %%r10, %%rcx; " /* A[0]*B[3] */ + "adcq %%r10, %%rbx ;" + /******************************************/ + "adcq $0, %%rcx ;" + + "movq 8(%1), %%rdx; " /* A[1] */ + "mulx (%2), %%r8, %%r9; " /* A[1]*B[0] */ + "addq %%r12, %%r8 ;" + "movq %%r8, 8(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[1]*B[1] */ + "adcq %%r10, %%r9 ;" + "mulx 16(%2), %%r8, %%r13; " /* A[1]*B[2] */ + "adcq %%r8, %%r11 ;" + "mulx 24(%2), %%r10, %%r12; " /* A[1]*B[3] */ + "adcq %%r10, %%r13 ;" + /******************************************/ + "adcq $0, %%r12 ;" + + "addq %%r9, %%rax ;" + "adcq %%r11, %%rbx ;" + "adcq %%r13, %%rcx ;" + "adcq $0, %%r12 ;" + + "movq 16(%1), %%rdx; " /* A[2] */ + "mulx (%2), %%r8, %%r9; " /* A[2]*B[0] */ + "addq %%rax, %%r8 ;" + "movq %%r8, 16(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[2]*B[1] */ + "adcq %%r10, %%r9 ;" + "mulx 16(%2), %%r8, %%r13; " /* A[2]*B[2] */ + "adcq %%r8, %%r11 ;" + "mulx 24(%2), %%r10, %%rax; " /* A[2]*B[3] */ + "adcq %%r10, %%r13 ;" + /******************************************/ + "adcq $0, %%rax ;" + + "addq %%r9, %%rbx ;" + "adcq %%r11, %%rcx ;" + "adcq %%r13, %%r12 ;" + "adcq $0, %%rax ;" + + "movq 24(%1), %%rdx; " /* A[3] */ + "mulx (%2), %%r8, %%r9; " /* A[3]*B[0] */ + "addq %%rbx, %%r8 ;" + "movq %%r8, 24(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[3]*B[1] */ + "adcq %%r10, %%r9 ;" + "mulx 16(%2), %%r8, %%r13; " /* A[3]*B[2] */ + "adcq %%r8, %%r11 ;" + "mulx 24(%2), %%r10, %%rbx; " /* A[3]*B[3] */ + "adcq %%r10, %%r13 ;" + /******************************************/ + "adcq $0, %%rbx ;" + + "addq %%r9, %%rcx ;" + "movq %%rcx, 32(%0) ;" + "adcq %%r11, %%r12 ;" + "movq %%r12, 40(%0) ;" + "adcq %%r13, %%rax ;" + "movq %%rax, 48(%0) ;" + "adcq $0, %%rbx ;" + "movq %%rbx, 56(%0) ;" + + "movq 32(%1), %%rdx; " /* C[0] */ + "mulx 32(%2), %%r8, %%r12; " /* C[0]*D[0] */ + "movq %%r8, 64(%0) ;" + "mulx 40(%2), %%r10, %%rax; " /* C[0]*D[1] */ + "addq %%r10, %%r12 ;" + "mulx 48(%2), %%r8, %%rbx; " /* C[0]*D[2] */ + "adcq %%r8, %%rax ;" + "mulx 56(%2), %%r10, %%rcx; " /* C[0]*D[3] */ + "adcq %%r10, %%rbx ;" + /******************************************/ + "adcq $0, %%rcx ;" + + "movq 40(%1), %%rdx; " /* C[1] */ + "mulx 32(%2), %%r8, %%r9; " /* C[1]*D[0] */ + "addq %%r12, %%r8 ;" + "movq %%r8, 72(%0) ;" + "mulx 40(%2), %%r10, %%r11; " /* C[1]*D[1] */ + "adcq %%r10, %%r9 ;" + "mulx 48(%2), %%r8, %%r13; " /* C[1]*D[2] */ + "adcq %%r8, %%r11 ;" + "mulx 56(%2), %%r10, %%r12; " /* C[1]*D[3] */ + "adcq %%r10, %%r13 ;" + /******************************************/ + "adcq $0, %%r12 ;" + + "addq %%r9, %%rax ;" + "adcq %%r11, %%rbx ;" + "adcq %%r13, %%rcx ;" + "adcq $0, %%r12 ;" + + "movq 48(%1), %%rdx; " /* C[2] */ + "mulx 32(%2), %%r8, %%r9; " /* C[2]*D[0] */ + "addq %%rax, %%r8 ;" + "movq %%r8, 80(%0) ;" + "mulx 40(%2), %%r10, %%r11; " /* C[2]*D[1] */ + "adcq %%r10, %%r9 ;" + "mulx 48(%2), %%r8, %%r13; " /* C[2]*D[2] */ + "adcq %%r8, %%r11 ;" + "mulx 56(%2), %%r10, %%rax; " /* C[2]*D[3] */ + "adcq %%r10, %%r13 ;" + /******************************************/ + "adcq $0, %%rax ;" + + "addq %%r9, %%rbx ;" + "adcq %%r11, %%rcx ;" + "adcq %%r13, %%r12 ;" + "adcq $0, %%rax ;" + + "movq 56(%1), %%rdx; " /* C[3] */ + "mulx 32(%2), %%r8, %%r9; " /* C[3]*D[0] */ + "addq %%rbx, %%r8 ;" + "movq %%r8, 88(%0) ;" + "mulx 40(%2), %%r10, %%r11; " /* C[3]*D[1] */ + "adcq %%r10, %%r9 ;" + "mulx 48(%2), %%r8, %%r13; " /* C[3]*D[2] */ + "adcq %%r8, %%r11 ;" + "mulx 56(%2), %%r10, %%rbx; " /* C[3]*D[3] */ + "adcq %%r10, %%r13 ;" + /******************************************/ + "adcq $0, %%rbx ;" + + "addq %%r9, %%rcx ;" + "movq %%rcx, 96(%0) ;" + "adcq %%r11, %%r12 ;" + "movq %%r12, 104(%0) ;" + "adcq %%r13, %%rax ;" + "movq %%rax, 112(%0) ;" + "adcq $0, %%rbx ;" + "movq %%rbx, 120(%0) ;" + : + : "r"(c), "r"(a), "r"(b) + : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13"); +} + +static void sqr2_256x256_integer_adx(u64 *const c, u64 *const a) +{ + asm volatile( + "movq (%1), %%rdx ;" /* A[0] */ + "mulx 8(%1), %%r8, %%r14 ;" /* A[1]*A[0] */ + "xorl %%r15d, %%r15d;" + "mulx 16(%1), %%r9, %%r10 ;" /* A[2]*A[0] */ + "adcx %%r14, %%r9 ;" + "mulx 24(%1), %%rax, %%rcx ;" /* A[3]*A[0] */ + "adcx %%rax, %%r10 ;" + "movq 24(%1), %%rdx ;" /* A[3] */ + "mulx 8(%1), %%r11, %%r12 ;" /* A[1]*A[3] */ + "adcx %%rcx, %%r11 ;" + "mulx 16(%1), %%rax, %%r13 ;" /* A[2]*A[3] */ + "adcx %%rax, %%r12 ;" + "movq 8(%1), %%rdx ;" /* A[1] */ + "adcx %%r15, %%r13 ;" + "mulx 16(%1), %%rax, %%rcx ;" /* A[2]*A[1] */ + "movq $0, %%r14 ;" + /******************************************/ + "adcx %%r15, %%r14 ;" + + "xorl %%r15d, %%r15d;" + "adox %%rax, %%r10 ;" + "adcx %%r8, %%r8 ;" + "adox %%rcx, %%r11 ;" + "adcx %%r9, %%r9 ;" + "adox %%r15, %%r12 ;" + "adcx %%r10, %%r10 ;" + "adox %%r15, %%r13 ;" + "adcx %%r11, %%r11 ;" + "adox %%r15, %%r14 ;" + "adcx %%r12, %%r12 ;" + "adcx %%r13, %%r13 ;" + "adcx %%r14, %%r14 ;" + + "movq (%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[0]^2 */ + /*******************/ + "movq %%rax, 0(%0) ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, 8(%0) ;" + "movq 8(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[1]^2 */ + "adcq %%rax, %%r9 ;" + "movq %%r9, 16(%0) ;" + "adcq %%rcx, %%r10 ;" + "movq %%r10, 24(%0) ;" + "movq 16(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[2]^2 */ + "adcq %%rax, %%r11 ;" + "movq %%r11, 32(%0) ;" + "adcq %%rcx, %%r12 ;" + "movq %%r12, 40(%0) ;" + "movq 24(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[3]^2 */ + "adcq %%rax, %%r13 ;" + "movq %%r13, 48(%0) ;" + "adcq %%rcx, %%r14 ;" + "movq %%r14, 56(%0) ;" + + + "movq 32(%1), %%rdx ;" /* B[0] */ + "mulx 40(%1), %%r8, %%r14 ;" /* B[1]*B[0] */ + "xorl %%r15d, %%r15d;" + "mulx 48(%1), %%r9, %%r10 ;" /* B[2]*B[0] */ + "adcx %%r14, %%r9 ;" + "mulx 56(%1), %%rax, %%rcx ;" /* B[3]*B[0] */ + "adcx %%rax, %%r10 ;" + "movq 56(%1), %%rdx ;" /* B[3] */ + "mulx 40(%1), %%r11, %%r12 ;" /* B[1]*B[3] */ + "adcx %%rcx, %%r11 ;" + "mulx 48(%1), %%rax, %%r13 ;" /* B[2]*B[3] */ + "adcx %%rax, %%r12 ;" + "movq 40(%1), %%rdx ;" /* B[1] */ + "adcx %%r15, %%r13 ;" + "mulx 48(%1), %%rax, %%rcx ;" /* B[2]*B[1] */ + "movq $0, %%r14 ;" + /******************************************/ + "adcx %%r15, %%r14 ;" + + "xorl %%r15d, %%r15d;" + "adox %%rax, %%r10 ;" + "adcx %%r8, %%r8 ;" + "adox %%rcx, %%r11 ;" + "adcx %%r9, %%r9 ;" + "adox %%r15, %%r12 ;" + "adcx %%r10, %%r10 ;" + "adox %%r15, %%r13 ;" + "adcx %%r11, %%r11 ;" + "adox %%r15, %%r14 ;" + "adcx %%r12, %%r12 ;" + "adcx %%r13, %%r13 ;" + "adcx %%r14, %%r14 ;" + + "movq 32(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* B[0]^2 */ + /*******************/ + "movq %%rax, 64(%0) ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, 72(%0) ;" + "movq 40(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* B[1]^2 */ + "adcq %%rax, %%r9 ;" + "movq %%r9, 80(%0) ;" + "adcq %%rcx, %%r10 ;" + "movq %%r10, 88(%0) ;" + "movq 48(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* B[2]^2 */ + "adcq %%rax, %%r11 ;" + "movq %%r11, 96(%0) ;" + "adcq %%rcx, %%r12 ;" + "movq %%r12, 104(%0) ;" + "movq 56(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* B[3]^2 */ + "adcq %%rax, %%r13 ;" + "movq %%r13, 112(%0) ;" + "adcq %%rcx, %%r14 ;" + "movq %%r14, 120(%0) ;" + : + : "r"(c), "r"(a) + : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15"); +} + +static void sqr2_256x256_integer_bmi2(u64 *const c, u64 *const a) +{ + asm volatile( + "movq 8(%1), %%rdx ;" /* A[1] */ + "mulx (%1), %%r8, %%r9 ;" /* A[0]*A[1] */ + "mulx 16(%1), %%r10, %%r11 ;" /* A[2]*A[1] */ + "mulx 24(%1), %%rcx, %%r14 ;" /* A[3]*A[1] */ + + "movq 16(%1), %%rdx ;" /* A[2] */ + "mulx 24(%1), %%r12, %%r13 ;" /* A[3]*A[2] */ + "mulx (%1), %%rax, %%rdx ;" /* A[0]*A[2] */ + + "addq %%rax, %%r9 ;" + "adcq %%rdx, %%r10 ;" + "adcq %%rcx, %%r11 ;" + "adcq %%r14, %%r12 ;" + "adcq $0, %%r13 ;" + "movq $0, %%r14 ;" + "adcq $0, %%r14 ;" + + "movq (%1), %%rdx ;" /* A[0] */ + "mulx 24(%1), %%rax, %%rcx ;" /* A[0]*A[3] */ + + "addq %%rax, %%r10 ;" + "adcq %%rcx, %%r11 ;" + "adcq $0, %%r12 ;" + "adcq $0, %%r13 ;" + "adcq $0, %%r14 ;" + + "shldq $1, %%r13, %%r14 ;" + "shldq $1, %%r12, %%r13 ;" + "shldq $1, %%r11, %%r12 ;" + "shldq $1, %%r10, %%r11 ;" + "shldq $1, %%r9, %%r10 ;" + "shldq $1, %%r8, %%r9 ;" + "shlq $1, %%r8 ;" + + /*******************/ + "mulx %%rdx, %%rax, %%rcx ; " /* A[0]^2 */ + /*******************/ + "movq %%rax, 0(%0) ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, 8(%0) ;" + "movq 8(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ; " /* A[1]^2 */ + "adcq %%rax, %%r9 ;" + "movq %%r9, 16(%0) ;" + "adcq %%rcx, %%r10 ;" + "movq %%r10, 24(%0) ;" + "movq 16(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ; " /* A[2]^2 */ + "adcq %%rax, %%r11 ;" + "movq %%r11, 32(%0) ;" + "adcq %%rcx, %%r12 ;" + "movq %%r12, 40(%0) ;" + "movq 24(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ; " /* A[3]^2 */ + "adcq %%rax, %%r13 ;" + "movq %%r13, 48(%0) ;" + "adcq %%rcx, %%r14 ;" + "movq %%r14, 56(%0) ;" + + "movq 40(%1), %%rdx ;" /* B[1] */ + "mulx 32(%1), %%r8, %%r9 ;" /* B[0]*B[1] */ + "mulx 48(%1), %%r10, %%r11 ;" /* B[2]*B[1] */ + "mulx 56(%1), %%rcx, %%r14 ;" /* B[3]*B[1] */ + + "movq 48(%1), %%rdx ;" /* B[2] */ + "mulx 56(%1), %%r12, %%r13 ;" /* B[3]*B[2] */ + "mulx 32(%1), %%rax, %%rdx ;" /* B[0]*B[2] */ + + "addq %%rax, %%r9 ;" + "adcq %%rdx, %%r10 ;" + "adcq %%rcx, %%r11 ;" + "adcq %%r14, %%r12 ;" + "adcq $0, %%r13 ;" + "movq $0, %%r14 ;" + "adcq $0, %%r14 ;" + + "movq 32(%1), %%rdx ;" /* B[0] */ + "mulx 56(%1), %%rax, %%rcx ;" /* B[0]*B[3] */ + + "addq %%rax, %%r10 ;" + "adcq %%rcx, %%r11 ;" + "adcq $0, %%r12 ;" + "adcq $0, %%r13 ;" + "adcq $0, %%r14 ;" + + "shldq $1, %%r13, %%r14 ;" + "shldq $1, %%r12, %%r13 ;" + "shldq $1, %%r11, %%r12 ;" + "shldq $1, %%r10, %%r11 ;" + "shldq $1, %%r9, %%r10 ;" + "shldq $1, %%r8, %%r9 ;" + "shlq $1, %%r8 ;" + + /*******************/ + "mulx %%rdx, %%rax, %%rcx ; " /* B[0]^2 */ + /*******************/ + "movq %%rax, 64(%0) ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, 72(%0) ;" + "movq 40(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ; " /* B[1]^2 */ + "adcq %%rax, %%r9 ;" + "movq %%r9, 80(%0) ;" + "adcq %%rcx, %%r10 ;" + "movq %%r10, 88(%0) ;" + "movq 48(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ; " /* B[2]^2 */ + "adcq %%rax, %%r11 ;" + "movq %%r11, 96(%0) ;" + "adcq %%rcx, %%r12 ;" + "movq %%r12, 104(%0) ;" + "movq 56(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ; " /* B[3]^2 */ + "adcq %%rax, %%r13 ;" + "movq %%r13, 112(%0) ;" + "adcq %%rcx, %%r14 ;" + "movq %%r14, 120(%0) ;" + : + : "r"(c), "r"(a) + : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14"); +} + +void red_eltfp25519_2w_adx(u64 *const c, u64 *const a) +{ + asm volatile( + "movl $38, %%edx; " /* 2*c = 38 = 2^256 */ + "mulx 32(%1), %%r8, %%r10; " /* c*C[4] */ + "xorl %%ebx, %%ebx ;" + "adox (%1), %%r8 ;" + "mulx 40(%1), %%r9, %%r11; " /* c*C[5] */ + "adcx %%r10, %%r9 ;" + "adox 8(%1), %%r9 ;" + "mulx 48(%1), %%r10, %%rax; " /* c*C[6] */ + "adcx %%r11, %%r10 ;" + "adox 16(%1), %%r10 ;" + "mulx 56(%1), %%r11, %%rcx; " /* c*C[7] */ + "adcx %%rax, %%r11 ;" + "adox 24(%1), %%r11 ;" + /***************************************/ + "adcx %%rbx, %%rcx ;" + "adox %%rbx, %%rcx ;" + "clc ;" + "mulx %%rcx, %%rax, %%rcx ; " /* c*C[4] */ + "adcx %%rax, %%r8 ;" + "adcx %%rcx, %%r9 ;" + "movq %%r9, 8(%0) ;" + "adcx %%rbx, %%r10 ;" + "movq %%r10, 16(%0) ;" + "adcx %%rbx, %%r11 ;" + "movq %%r11, 24(%0) ;" + "mov $0, %%ecx ;" + "cmovc %%edx, %%ecx ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, (%0) ;" + + "mulx 96(%1), %%r8, %%r10; " /* c*C[4] */ + "xorl %%ebx, %%ebx ;" + "adox 64(%1), %%r8 ;" + "mulx 104(%1), %%r9, %%r11; " /* c*C[5] */ + "adcx %%r10, %%r9 ;" + "adox 72(%1), %%r9 ;" + "mulx 112(%1), %%r10, %%rax; " /* c*C[6] */ + "adcx %%r11, %%r10 ;" + "adox 80(%1), %%r10 ;" + "mulx 120(%1), %%r11, %%rcx; " /* c*C[7] */ + "adcx %%rax, %%r11 ;" + "adox 88(%1), %%r11 ;" + /****************************************/ + "adcx %%rbx, %%rcx ;" + "adox %%rbx, %%rcx ;" + "clc ;" + "mulx %%rcx, %%rax, %%rcx ; " /* c*C[4] */ + "adcx %%rax, %%r8 ;" + "adcx %%rcx, %%r9 ;" + "movq %%r9, 40(%0) ;" + "adcx %%rbx, %%r10 ;" + "movq %%r10, 48(%0) ;" + "adcx %%rbx, %%r11 ;" + "movq %%r11, 56(%0) ;" + "mov $0, %%ecx ;" + "cmovc %%edx, %%ecx ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, 32(%0) ;" + : + : "r"(c), "r"(a) + : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11"); +} + +void red_eltfp25519_2w_bmi2(u64 *const c, u64 *const a) +{ + asm volatile( + "movl $38, %%edx ; " /* 2*c = 38 = 2^256 */ + "mulx 32(%1), %%r8, %%r10 ;" /* c*C[4] */ + "mulx 40(%1), %%r9, %%r11 ;" /* c*C[5] */ + "addq %%r10, %%r9 ;" + "mulx 48(%1), %%r10, %%rax ;" /* c*C[6] */ + "adcq %%r11, %%r10 ;" + "mulx 56(%1), %%r11, %%rcx ;" /* c*C[7] */ + "adcq %%rax, %%r11 ;" + /***************************************/ + "adcq $0, %%rcx ;" + "addq (%1), %%r8 ;" + "adcq 8(%1), %%r9 ;" + "adcq 16(%1), %%r10 ;" + "adcq 24(%1), %%r11 ;" + "adcq $0, %%rcx ;" + "mulx %%rcx, %%rax, %%rcx ;" /* c*C[4] */ + "addq %%rax, %%r8 ;" + "adcq %%rcx, %%r9 ;" + "movq %%r9, 8(%0) ;" + "adcq $0, %%r10 ;" + "movq %%r10, 16(%0) ;" + "adcq $0, %%r11 ;" + "movq %%r11, 24(%0) ;" + "mov $0, %%ecx ;" + "cmovc %%edx, %%ecx ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, (%0) ;" + + "mulx 96(%1), %%r8, %%r10 ;" /* c*C[4] */ + "mulx 104(%1), %%r9, %%r11 ;" /* c*C[5] */ + "addq %%r10, %%r9 ;" + "mulx 112(%1), %%r10, %%rax ;" /* c*C[6] */ + "adcq %%r11, %%r10 ;" + "mulx 120(%1), %%r11, %%rcx ;" /* c*C[7] */ + "adcq %%rax, %%r11 ;" + /****************************************/ + "adcq $0, %%rcx ;" + "addq 64(%1), %%r8 ;" + "adcq 72(%1), %%r9 ;" + "adcq 80(%1), %%r10 ;" + "adcq 88(%1), %%r11 ;" + "adcq $0, %%rcx ;" + "mulx %%rcx, %%rax, %%rcx ;" /* c*C[4] */ + "addq %%rax, %%r8 ;" + "adcq %%rcx, %%r9 ;" + "movq %%r9, 40(%0) ;" + "adcq $0, %%r10 ;" + "movq %%r10, 48(%0) ;" + "adcq $0, %%r11 ;" + "movq %%r11, 56(%0) ;" + "mov $0, %%ecx ;" + "cmovc %%edx, %%ecx ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, 32(%0) ;" + : + : "r"(c), "r"(a) + : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11"); +} + +static void mul_256x256_integer_adx(u64 *const c, u64 *const a, u64 *const b) +{ + asm volatile( + "movq (%1), %%rdx; " /* A[0] */ + "mulx (%2), %%r8, %%r9; " /* A[0]*B[0] */ + "xorl %%r10d, %%r10d ;" + "movq %%r8, (%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[0]*B[1] */ + "adox %%r9, %%r10 ;" + "movq %%r10, 8(%0) ;" + "mulx 16(%2), %%r12, %%r13; " /* A[0]*B[2] */ + "adox %%r11, %%r12 ;" + "mulx 24(%2), %%r14, %%rdx; " /* A[0]*B[3] */ + "adox %%r13, %%r14 ;" + "movq $0, %%rax ;" + /******************************************/ + "adox %%rdx, %%rax ;" + + "movq 8(%1), %%rdx; " /* A[1] */ + "mulx (%2), %%r8, %%r9; " /* A[1]*B[0] */ + "xorl %%r10d, %%r10d ;" + "adcx 8(%0), %%r8 ;" + "movq %%r8, 8(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[1]*B[1] */ + "adox %%r9, %%r10 ;" + "adcx %%r12, %%r10 ;" + "movq %%r10, 16(%0) ;" + "mulx 16(%2), %%r12, %%r13; " /* A[1]*B[2] */ + "adox %%r11, %%r12 ;" + "adcx %%r14, %%r12 ;" + "movq $0, %%r8 ;" + "mulx 24(%2), %%r14, %%rdx; " /* A[1]*B[3] */ + "adox %%r13, %%r14 ;" + "adcx %%rax, %%r14 ;" + "movq $0, %%rax ;" + /******************************************/ + "adox %%rdx, %%rax ;" + "adcx %%r8, %%rax ;" + + "movq 16(%1), %%rdx; " /* A[2] */ + "mulx (%2), %%r8, %%r9; " /* A[2]*B[0] */ + "xorl %%r10d, %%r10d ;" + "adcx 16(%0), %%r8 ;" + "movq %%r8, 16(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[2]*B[1] */ + "adox %%r9, %%r10 ;" + "adcx %%r12, %%r10 ;" + "movq %%r10, 24(%0) ;" + "mulx 16(%2), %%r12, %%r13; " /* A[2]*B[2] */ + "adox %%r11, %%r12 ;" + "adcx %%r14, %%r12 ;" + "movq $0, %%r8 ;" + "mulx 24(%2), %%r14, %%rdx; " /* A[2]*B[3] */ + "adox %%r13, %%r14 ;" + "adcx %%rax, %%r14 ;" + "movq $0, %%rax ;" + /******************************************/ + "adox %%rdx, %%rax ;" + "adcx %%r8, %%rax ;" + + "movq 24(%1), %%rdx; " /* A[3] */ + "mulx (%2), %%r8, %%r9; " /* A[3]*B[0] */ + "xorl %%r10d, %%r10d ;" + "adcx 24(%0), %%r8 ;" + "movq %%r8, 24(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[3]*B[1] */ + "adox %%r9, %%r10 ;" + "adcx %%r12, %%r10 ;" + "movq %%r10, 32(%0) ;" + "mulx 16(%2), %%r12, %%r13; " /* A[3]*B[2] */ + "adox %%r11, %%r12 ;" + "adcx %%r14, %%r12 ;" + "movq %%r12, 40(%0) ;" + "movq $0, %%r8 ;" + "mulx 24(%2), %%r14, %%rdx; " /* A[3]*B[3] */ + "adox %%r13, %%r14 ;" + "adcx %%rax, %%r14 ;" + "movq %%r14, 48(%0) ;" + "movq $0, %%rax ;" + /******************************************/ + "adox %%rdx, %%rax ;" + "adcx %%r8, %%rax ;" + "movq %%rax, 56(%0) ;" + : + : "r"(c), "r"(a), "r"(b) + : "memory", "cc", "%rax", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14"); +} + +static void mul_256x256_integer_bmi2(u64 *const c, u64 *const a, u64 *const b) +{ + asm volatile( + "movq (%1), %%rdx; " /* A[0] */ + "mulx (%2), %%r8, %%r12; " /* A[0]*B[0] */ + "movq %%r8, (%0) ;" + "mulx 8(%2), %%r10, %%rax; " /* A[0]*B[1] */ + "addq %%r10, %%r12 ;" + "mulx 16(%2), %%r8, %%rbx; " /* A[0]*B[2] */ + "adcq %%r8, %%rax ;" + "mulx 24(%2), %%r10, %%rcx; " /* A[0]*B[3] */ + "adcq %%r10, %%rbx ;" + /******************************************/ + "adcq $0, %%rcx ;" + + "movq 8(%1), %%rdx; " /* A[1] */ + "mulx (%2), %%r8, %%r9; " /* A[1]*B[0] */ + "addq %%r12, %%r8 ;" + "movq %%r8, 8(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[1]*B[1] */ + "adcq %%r10, %%r9 ;" + "mulx 16(%2), %%r8, %%r13; " /* A[1]*B[2] */ + "adcq %%r8, %%r11 ;" + "mulx 24(%2), %%r10, %%r12; " /* A[1]*B[3] */ + "adcq %%r10, %%r13 ;" + /******************************************/ + "adcq $0, %%r12 ;" + + "addq %%r9, %%rax ;" + "adcq %%r11, %%rbx ;" + "adcq %%r13, %%rcx ;" + "adcq $0, %%r12 ;" + + "movq 16(%1), %%rdx; " /* A[2] */ + "mulx (%2), %%r8, %%r9; " /* A[2]*B[0] */ + "addq %%rax, %%r8 ;" + "movq %%r8, 16(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[2]*B[1] */ + "adcq %%r10, %%r9 ;" + "mulx 16(%2), %%r8, %%r13; " /* A[2]*B[2] */ + "adcq %%r8, %%r11 ;" + "mulx 24(%2), %%r10, %%rax; " /* A[2]*B[3] */ + "adcq %%r10, %%r13 ;" + /******************************************/ + "adcq $0, %%rax ;" + + "addq %%r9, %%rbx ;" + "adcq %%r11, %%rcx ;" + "adcq %%r13, %%r12 ;" + "adcq $0, %%rax ;" + + "movq 24(%1), %%rdx; " /* A[3] */ + "mulx (%2), %%r8, %%r9; " /* A[3]*B[0] */ + "addq %%rbx, %%r8 ;" + "movq %%r8, 24(%0) ;" + "mulx 8(%2), %%r10, %%r11; " /* A[3]*B[1] */ + "adcq %%r10, %%r9 ;" + "mulx 16(%2), %%r8, %%r13; " /* A[3]*B[2] */ + "adcq %%r8, %%r11 ;" + "mulx 24(%2), %%r10, %%rbx; " /* A[3]*B[3] */ + "adcq %%r10, %%r13 ;" + /******************************************/ + "adcq $0, %%rbx ;" + + "addq %%r9, %%rcx ;" + "movq %%rcx, 32(%0) ;" + "adcq %%r11, %%r12 ;" + "movq %%r12, 40(%0) ;" + "adcq %%r13, %%rax ;" + "movq %%rax, 48(%0) ;" + "adcq $0, %%rbx ;" + "movq %%rbx, 56(%0) ;" + : + : "r"(c), "r"(a), "r"(b) + : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13"); +} + +static void sqr_256x256_integer_adx(u64 *const c, u64 *const a) +{ + asm volatile( + "movq (%1), %%rdx ;" /* A[0] */ + "mulx 8(%1), %%r8, %%r14 ;" /* A[1]*A[0] */ + "xorl %%r15d, %%r15d;" + "mulx 16(%1), %%r9, %%r10 ;" /* A[2]*A[0] */ + "adcx %%r14, %%r9 ;" + "mulx 24(%1), %%rax, %%rcx ;" /* A[3]*A[0] */ + "adcx %%rax, %%r10 ;" + "movq 24(%1), %%rdx ;" /* A[3] */ + "mulx 8(%1), %%r11, %%r12 ;" /* A[1]*A[3] */ + "adcx %%rcx, %%r11 ;" + "mulx 16(%1), %%rax, %%r13 ;" /* A[2]*A[3] */ + "adcx %%rax, %%r12 ;" + "movq 8(%1), %%rdx ;" /* A[1] */ + "adcx %%r15, %%r13 ;" + "mulx 16(%1), %%rax, %%rcx ;" /* A[2]*A[1] */ + "movq $0, %%r14 ;" + /******************************************/ + "adcx %%r15, %%r14 ;" + + "xorl %%r15d, %%r15d;" + "adox %%rax, %%r10 ;" + "adcx %%r8, %%r8 ;" + "adox %%rcx, %%r11 ;" + "adcx %%r9, %%r9 ;" + "adox %%r15, %%r12 ;" + "adcx %%r10, %%r10 ;" + "adox %%r15, %%r13 ;" + "adcx %%r11, %%r11 ;" + "adox %%r15, %%r14 ;" + "adcx %%r12, %%r12 ;" + "adcx %%r13, %%r13 ;" + "adcx %%r14, %%r14 ;" + + "movq (%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[0]^2 */ + /*******************/ + "movq %%rax, 0(%0) ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, 8(%0) ;" + "movq 8(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[1]^2 */ + "adcq %%rax, %%r9 ;" + "movq %%r9, 16(%0) ;" + "adcq %%rcx, %%r10 ;" + "movq %%r10, 24(%0) ;" + "movq 16(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[2]^2 */ + "adcq %%rax, %%r11 ;" + "movq %%r11, 32(%0) ;" + "adcq %%rcx, %%r12 ;" + "movq %%r12, 40(%0) ;" + "movq 24(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[3]^2 */ + "adcq %%rax, %%r13 ;" + "movq %%r13, 48(%0) ;" + "adcq %%rcx, %%r14 ;" + "movq %%r14, 56(%0) ;" + : + : "r"(c), "r"(a) + : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15"); +} + +static void sqr_256x256_integer_bmi2(u64 *const c, u64 *const a) +{ + asm volatile( + "movq 8(%1), %%rdx ;" /* A[1] */ + "mulx (%1), %%r8, %%r9 ;" /* A[0]*A[1] */ + "mulx 16(%1), %%r10, %%r11 ;" /* A[2]*A[1] */ + "mulx 24(%1), %%rcx, %%r14 ;" /* A[3]*A[1] */ + + "movq 16(%1), %%rdx ;" /* A[2] */ + "mulx 24(%1), %%r12, %%r13 ;" /* A[3]*A[2] */ + "mulx (%1), %%rax, %%rdx ;" /* A[0]*A[2] */ + + "addq %%rax, %%r9 ;" + "adcq %%rdx, %%r10 ;" + "adcq %%rcx, %%r11 ;" + "adcq %%r14, %%r12 ;" + "adcq $0, %%r13 ;" + "movq $0, %%r14 ;" + "adcq $0, %%r14 ;" + + "movq (%1), %%rdx ;" /* A[0] */ + "mulx 24(%1), %%rax, %%rcx ;" /* A[0]*A[3] */ + + "addq %%rax, %%r10 ;" + "adcq %%rcx, %%r11 ;" + "adcq $0, %%r12 ;" + "adcq $0, %%r13 ;" + "adcq $0, %%r14 ;" + + "shldq $1, %%r13, %%r14 ;" + "shldq $1, %%r12, %%r13 ;" + "shldq $1, %%r11, %%r12 ;" + "shldq $1, %%r10, %%r11 ;" + "shldq $1, %%r9, %%r10 ;" + "shldq $1, %%r8, %%r9 ;" + "shlq $1, %%r8 ;" + + /*******************/ + "mulx %%rdx, %%rax, %%rcx ;" /* A[0]^2 */ + /*******************/ + "movq %%rax, 0(%0) ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, 8(%0) ;" + "movq 8(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[1]^2 */ + "adcq %%rax, %%r9 ;" + "movq %%r9, 16(%0) ;" + "adcq %%rcx, %%r10 ;" + "movq %%r10, 24(%0) ;" + "movq 16(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[2]^2 */ + "adcq %%rax, %%r11 ;" + "movq %%r11, 32(%0) ;" + "adcq %%rcx, %%r12 ;" + "movq %%r12, 40(%0) ;" + "movq 24(%1), %%rdx ;" + "mulx %%rdx, %%rax, %%rcx ;" /* A[3]^2 */ + "adcq %%rax, %%r13 ;" + "movq %%r13, 48(%0) ;" + "adcq %%rcx, %%r14 ;" + "movq %%r14, 56(%0) ;" + : + : "r"(c), "r"(a) + : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14"); +} + +static void red_eltfp25519_1w_adx(u64 *const c, u64 *const a) +{ + asm volatile( + "movl $38, %%edx ;" /* 2*c = 38 = 2^256 */ + "mulx 32(%1), %%r8, %%r10 ;" /* c*C[4] */ + "xorl %%ebx, %%ebx ;" + "adox (%1), %%r8 ;" + "mulx 40(%1), %%r9, %%r11 ;" /* c*C[5] */ + "adcx %%r10, %%r9 ;" + "adox 8(%1), %%r9 ;" + "mulx 48(%1), %%r10, %%rax ;" /* c*C[6] */ + "adcx %%r11, %%r10 ;" + "adox 16(%1), %%r10 ;" + "mulx 56(%1), %%r11, %%rcx ;" /* c*C[7] */ + "adcx %%rax, %%r11 ;" + "adox 24(%1), %%r11 ;" + /***************************************/ + "adcx %%rbx, %%rcx ;" + "adox %%rbx, %%rcx ;" + "clc ;" + "mulx %%rcx, %%rax, %%rcx ;" /* c*C[4] */ + "adcx %%rax, %%r8 ;" + "adcx %%rcx, %%r9 ;" + "movq %%r9, 8(%0) ;" + "adcx %%rbx, %%r10 ;" + "movq %%r10, 16(%0) ;" + "adcx %%rbx, %%r11 ;" + "movq %%r11, 24(%0) ;" + "mov $0, %%ecx ;" + "cmovc %%edx, %%ecx ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, (%0) ;" + : + : "r"(c), "r"(a) + : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11"); +} + +static void red_eltfp25519_1w_bmi2(u64 *const c, u64 *const a) +{ + asm volatile( + "movl $38, %%edx ;" /* 2*c = 38 = 2^256 */ + "mulx 32(%1), %%r8, %%r10 ;" /* c*C[4] */ + "mulx 40(%1), %%r9, %%r11 ;" /* c*C[5] */ + "addq %%r10, %%r9 ;" + "mulx 48(%1), %%r10, %%rax ;" /* c*C[6] */ + "adcq %%r11, %%r10 ;" + "mulx 56(%1), %%r11, %%rcx ;" /* c*C[7] */ + "adcq %%rax, %%r11 ;" + /***************************************/ + "adcq $0, %%rcx ;" + "addq (%1), %%r8 ;" + "adcq 8(%1), %%r9 ;" + "adcq 16(%1), %%r10 ;" + "adcq 24(%1), %%r11 ;" + "adcq $0, %%rcx ;" + "mulx %%rcx, %%rax, %%rcx ;" /* c*C[4] */ + "addq %%rax, %%r8 ;" + "adcq %%rcx, %%r9 ;" + "movq %%r9, 8(%0) ;" + "adcq $0, %%r10 ;" + "movq %%r10, 16(%0) ;" + "adcq $0, %%r11 ;" + "movq %%r11, 24(%0) ;" + "mov $0, %%ecx ;" + "cmovc %%edx, %%ecx ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, (%0) ;" + : + : "r"(c), "r"(a) + : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11"); +} + +static __always_inline void add_eltfp25519_1w_adx(u64 *const c, u64 *const a, u64 *const b) +{ + asm volatile( + "mov $38, %%eax ;" + "xorl %%ecx, %%ecx ;" + "movq (%2), %%r8 ;" + "adcx (%1), %%r8 ;" + "movq 8(%2), %%r9 ;" + "adcx 8(%1), %%r9 ;" + "movq 16(%2), %%r10 ;" + "adcx 16(%1), %%r10 ;" + "movq 24(%2), %%r11 ;" + "adcx 24(%1), %%r11 ;" + "cmovc %%eax, %%ecx ;" + "xorl %%eax, %%eax ;" + "adcx %%rcx, %%r8 ;" + "adcx %%rax, %%r9 ;" + "movq %%r9, 8(%0) ;" + "adcx %%rax, %%r10 ;" + "movq %%r10, 16(%0) ;" + "adcx %%rax, %%r11 ;" + "movq %%r11, 24(%0) ;" + "mov $38, %%ecx ;" + "cmovc %%ecx, %%eax ;" + "addq %%rax, %%r8 ;" + "movq %%r8, (%0) ;" + : + : "r"(c), "r"(a), "r"(b) + : "memory", "cc", "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11"); +} + +static __always_inline void add_eltfp25519_1w_bmi2(u64 *const c, u64 *const a, u64 *const b) +{ + asm volatile( + "mov $38, %%eax ;" + "movq (%2), %%r8 ;" + "addq (%1), %%r8 ;" + "movq 8(%2), %%r9 ;" + "adcq 8(%1), %%r9 ;" + "movq 16(%2), %%r10 ;" + "adcq 16(%1), %%r10 ;" + "movq 24(%2), %%r11 ;" + "adcq 24(%1), %%r11 ;" + "mov $0, %%ecx ;" + "cmovc %%eax, %%ecx ;" + "addq %%rcx, %%r8 ;" + "adcq $0, %%r9 ;" + "movq %%r9, 8(%0) ;" + "adcq $0, %%r10 ;" + "movq %%r10, 16(%0) ;" + "adcq $0, %%r11 ;" + "movq %%r11, 24(%0) ;" + "mov $0, %%ecx ;" + "cmovc %%eax, %%ecx ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, (%0) ;" + : + : "r"(c), "r"(a), "r"(b) + : "memory", "cc", "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11"); +} + +static __always_inline void sub_eltfp25519_1w(u64 *const c, u64 *const a, u64 *const b) +{ + asm volatile( + "mov $38, %%eax ;" + "movq (%1), %%r8 ;" + "subq (%2), %%r8 ;" + "movq 8(%1), %%r9 ;" + "sbbq 8(%2), %%r9 ;" + "movq 16(%1), %%r10 ;" + "sbbq 16(%2), %%r10 ;" + "movq 24(%1), %%r11 ;" + "sbbq 24(%2), %%r11 ;" + "mov $0, %%ecx ;" + "cmovc %%eax, %%ecx ;" + "subq %%rcx, %%r8 ;" + "sbbq $0, %%r9 ;" + "movq %%r9, 8(%0) ;" + "sbbq $0, %%r10 ;" + "movq %%r10, 16(%0) ;" + "sbbq $0, %%r11 ;" + "movq %%r11, 24(%0) ;" + "mov $0, %%ecx ;" + "cmovc %%eax, %%ecx ;" + "subq %%rcx, %%r8 ;" + "movq %%r8, (%0) ;" + : + : "r"(c), "r"(a), "r"(b) + : "memory", "cc", "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11"); +} + +/* Multiplication by a24 = (A+2)/4 = (486662+2)/4 = 121666 */ +static __always_inline void mul_a24_eltfp25519_1w(u64 *const c, u64 *const a) +{ + const u64 a24 = 121666; + asm volatile( + "movq %2, %%rdx ;" + "mulx (%1), %%r8, %%r10 ;" + "mulx 8(%1), %%r9, %%r11 ;" + "addq %%r10, %%r9 ;" + "mulx 16(%1), %%r10, %%rax ;" + "adcq %%r11, %%r10 ;" + "mulx 24(%1), %%r11, %%rcx ;" + "adcq %%rax, %%r11 ;" + /**************************/ + "adcq $0, %%rcx ;" + "movl $38, %%edx ;" /* 2*c = 38 = 2^256 mod 2^255-19*/ + "mulx %%rcx, %%rax, %%rcx ;" + "addq %%rax, %%r8 ;" + "adcq %%rcx, %%r9 ;" + "movq %%r9, 8(%0) ;" + "adcq $0, %%r10 ;" + "movq %%r10, 16(%0) ;" + "adcq $0, %%r11 ;" + "movq %%r11, 24(%0) ;" + "mov $0, %%ecx ;" + "cmovc %%edx, %%ecx ;" + "addq %%rcx, %%r8 ;" + "movq %%r8, (%0) ;" + : + : "r"(c), "r"(a), "r"(a24) + : "memory", "cc", "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11"); +} + +static void inv_eltfp25519_1w_adx(u64 *const c, u64 *const a) +{ + eltfp25519_1w_buffer buffer_1w; + eltfp25519_1w x0, x1, x2; + u64 *T[5]; + + T[0] = x0; + T[1] = c; /* x^(-1) */ + T[2] = x1; + T[3] = x2; + T[4] = a; /* x */ + + copy_eltfp25519_1w(T[1], a); + sqrn_eltfp25519_1w_adx(T[1], 1); + copy_eltfp25519_1w(T[2], T[1]); + sqrn_eltfp25519_1w_adx(T[2], 2); + mul_eltfp25519_1w_adx(T[0], a, T[2]); + mul_eltfp25519_1w_adx(T[1], T[1], T[0]); + copy_eltfp25519_1w(T[2], T[1]); + sqrn_eltfp25519_1w_adx(T[2], 1); + mul_eltfp25519_1w_adx(T[0], T[0], T[2]); + copy_eltfp25519_1w(T[2], T[0]); + sqrn_eltfp25519_1w_adx(T[2], 5); + mul_eltfp25519_1w_adx(T[0], T[0], T[2]); + copy_eltfp25519_1w(T[2], T[0]); + sqrn_eltfp25519_1w_adx(T[2], 10); + mul_eltfp25519_1w_adx(T[2], T[2], T[0]); + copy_eltfp25519_1w(T[3], T[2]); + sqrn_eltfp25519_1w_adx(T[3], 20); + mul_eltfp25519_1w_adx(T[3], T[3], T[2]); + sqrn_eltfp25519_1w_adx(T[3], 10); + mul_eltfp25519_1w_adx(T[3], T[3], T[0]); + copy_eltfp25519_1w(T[0], T[3]); + sqrn_eltfp25519_1w_adx(T[0], 50); + mul_eltfp25519_1w_adx(T[0], T[0], T[3]); + copy_eltfp25519_1w(T[2], T[0]); + sqrn_eltfp25519_1w_adx(T[2], 100); + mul_eltfp25519_1w_adx(T[2], T[2], T[0]); + sqrn_eltfp25519_1w_adx(T[2], 50); + mul_eltfp25519_1w_adx(T[2], T[2], T[3]); + sqrn_eltfp25519_1w_adx(T[2], 5); + mul_eltfp25519_1w_adx(T[1], T[1], T[2]); + + memzero_explicit(&buffer_1w, sizeof(buffer_1w)); + memzero_explicit(&x0, sizeof(x0)); + memzero_explicit(&x1, sizeof(x1)); + memzero_explicit(&x2, sizeof(x2)); +} + +static void inv_eltfp25519_1w_bmi2(u64 *const c, u64 *const a) +{ + eltfp25519_1w_buffer buffer_1w; + eltfp25519_1w x0, x1, x2; + u64 *T[5]; + + T[0] = x0; + T[1] = c; /* x^(-1) */ + T[2] = x1; + T[3] = x2; + T[4] = a; /* x */ + + copy_eltfp25519_1w(T[1], a); + sqrn_eltfp25519_1w_bmi2(T[1], 1); + copy_eltfp25519_1w(T[2], T[1]); + sqrn_eltfp25519_1w_bmi2(T[2], 2); + mul_eltfp25519_1w_bmi2(T[0], a, T[2]); + mul_eltfp25519_1w_bmi2(T[1], T[1], T[0]); + copy_eltfp25519_1w(T[2], T[1]); + sqrn_eltfp25519_1w_bmi2(T[2], 1); + mul_eltfp25519_1w_bmi2(T[0], T[0], T[2]); + copy_eltfp25519_1w(T[2], T[0]); + sqrn_eltfp25519_1w_bmi2(T[2], 5); + mul_eltfp25519_1w_bmi2(T[0], T[0], T[2]); + copy_eltfp25519_1w(T[2], T[0]); + sqrn_eltfp25519_1w_bmi2(T[2], 10); + mul_eltfp25519_1w_bmi2(T[2], T[2], T[0]); + copy_eltfp25519_1w(T[3], T[2]); + sqrn_eltfp25519_1w_bmi2(T[3], 20); + mul_eltfp25519_1w_bmi2(T[3], T[3], T[2]); + sqrn_eltfp25519_1w_bmi2(T[3], 10); + mul_eltfp25519_1w_bmi2(T[3], T[3], T[0]); + copy_eltfp25519_1w(T[0], T[3]); + sqrn_eltfp25519_1w_bmi2(T[0], 50); + mul_eltfp25519_1w_bmi2(T[0], T[0], T[3]); + copy_eltfp25519_1w(T[2], T[0]); + sqrn_eltfp25519_1w_bmi2(T[2], 100); + mul_eltfp25519_1w_bmi2(T[2], T[2], T[0]); + sqrn_eltfp25519_1w_bmi2(T[2], 50); + mul_eltfp25519_1w_bmi2(T[2], T[2], T[3]); + sqrn_eltfp25519_1w_bmi2(T[2], 5); + mul_eltfp25519_1w_bmi2(T[1], T[1], T[2]); + + memzero_explicit(&buffer_1w, sizeof(buffer_1w)); + memzero_explicit(&x0, sizeof(x0)); + memzero_explicit(&x1, sizeof(x1)); + memzero_explicit(&x2, sizeof(x2)); +} + +/* Given c, a 256-bit number, fred_eltfp25519_1w updates c + * with a number such that 0 <= C < 2**255-19. + */ +static __always_inline void fred_eltfp25519_1w(u64 *const c) +{ + asm volatile( + /* First, obtains a number less than 2^255. */ + "btrq $63, 24(%0) ;" + "sbbl %%ecx, %%ecx ;" + "andq $19, %%rcx ;" + "addq %%rcx, (%0) ;" + "adcq $0, 8(%0) ;" + "adcq $0, 16(%0) ;" + "adcq $0, 24(%0) ;" + + "btrq $63, 24(%0) ;" + "sbbl %%ecx, %%ecx ;" + "andq $19, %%rcx ;" + "addq %%rcx, (%0) ;" + "adcq $0, 8(%0) ;" + "adcq $0, 16(%0) ;" + "adcq $0, 24(%0) ;" + + /* Then, in case the number fall into [2^255-19, 2^255-1] */ + "cmpq $-19, (%0) ;" + "setaeb %%al ;" + "cmpq $-1, 8(%0) ;" + "setzb %%bl ;" + "cmpq $-1, 16(%0) ;" + "setzb %%cl ;" + "movq 24(%0), %%rdx ;" + "addq $1, %%rdx ;" + "shrq $63, %%rdx ;" + "andb %%bl, %%al ;" + "andb %%dl, %%cl ;" + "test %%cl, %%al ;" + "movl $0, %%eax ;" + "movl $19, %%ecx ;" + "cmovnz %%rcx, %%rax ;" + "addq %%rax, (%0) ;" + "adcq $0, 8(%0) ;" + "adcq $0, 16(%0) ;" + "adcq $0, 24(%0) ;" + "btrq $63, 24(%0) ;" + : + : "r"(c) + : "memory", "cc", "%rax", "%rbx", "%rcx", "%rdx"); +} + +static __always_inline void cswap(u64 bit, u64 *const px, u64 *const py) +{ + int i; + u64 mask = 0ULL - bit; + + for (i = 0; i < NUM_WORDS_ELTFP25519; ++i) { + u64 t = mask & (px[i] ^ py[i]); + px[i] = px[i] ^ t; + py[i] = py[i] ^ t; + } +} + +static void curve25519_adx(u8 shared[CURVE25519_POINT_SIZE], const u8 private_key[CURVE25519_POINT_SIZE], const u8 session_key[CURVE25519_POINT_SIZE]) +{ + __aligned(32) u64 buffer[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u64 coordinates[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u64 workspace[6 * NUM_WORDS_ELTFP25519]; + __aligned(32) u8 session[CURVE25519_POINT_SIZE]; + __aligned(32) u8 private[CURVE25519_POINT_SIZE]; + + int i = 0, j = 0; + u64 prev = 0; + u64 *const X1 = (u64 *)session; + u64 *const key = (u64 *)private; + u64 *const Px = coordinates + 0; + u64 *const Pz = coordinates + 4; + u64 *const Qx = coordinates + 8; + u64 *const Qz = coordinates + 12; + u64 *const X2 = Qx; + u64 *const Z2 = Qz; + u64 *const X3 = Px; + u64 *const Z3 = Pz; + u64 *const X2Z2 = Qx; + u64 *const X3Z3 = Px; + + u64 *const A = workspace + 0; + u64 *const B = workspace + 4; + u64 *const D = workspace + 8; + u64 *const C = workspace + 12; + u64 *const DA = workspace + 16; + u64 *const CB = workspace + 20; + u64 *const AB = A; + u64 *const DC = D; + u64 *const DACB = DA; + u64 *const buffer_1w = buffer; + u64 *const buffer_2w = buffer; + + memcpy(private, private_key, sizeof(private)); + memcpy(session, session_key, sizeof(session)); + + normalize_secret(private); + + /* As in the draft: + * When receiving such an array, implementations of curve25519 + * MUST mask the most-significant bit in the final byte. This + * is done to preserve compatibility with point formats which + * reserve the sign bit for use in other protocols and to + * increase resistance to implementation fingerprinting + */ + session[CURVE25519_POINT_SIZE - 1] &= (1 << (255 % 8)) - 1; + + copy_eltfp25519_1w(Px, X1); + setzero_eltfp25519_1w(Pz); + setzero_eltfp25519_1w(Qx); + setzero_eltfp25519_1w(Qz); + + Pz[0] = 1; + Qx[0] = 1; + + /* main-loop */ + prev = 0; + j = 62; + for (i = 3; i >= 0; --i) { + while (j >= 0) { + u64 bit = (key[i] >> j) & 0x1; + u64 swap = bit ^ prev; + prev = bit; + + add_eltfp25519_1w_adx(A, X2, Z2); /* A = (X2+Z2) */ + sub_eltfp25519_1w(B, X2, Z2); /* B = (X2-Z2) */ + add_eltfp25519_1w_adx(C, X3, Z3); /* C = (X3+Z3) */ + sub_eltfp25519_1w(D, X3, Z3); /* D = (X3-Z3) */ + mul_eltfp25519_2w_adx(DACB, AB, DC); /* [DA|CB] = [A|B]*[D|C] */ + + cswap(swap, A, C); + cswap(swap, B, D); + + sqr_eltfp25519_2w_adx(AB); /* [AA|BB] = [A^2|B^2] */ + add_eltfp25519_1w_adx(X3, DA, CB); /* X3 = (DA+CB) */ + sub_eltfp25519_1w(Z3, DA, CB); /* Z3 = (DA-CB) */ + sqr_eltfp25519_2w_adx(X3Z3); /* [X3|Z3] = [(DA+CB)|(DA+CB)]^2 */ + + copy_eltfp25519_1w(X2, B); /* X2 = B^2 */ + sub_eltfp25519_1w(Z2, A, B); /* Z2 = E = AA-BB */ + + mul_a24_eltfp25519_1w(B, Z2); /* B = a24*E */ + add_eltfp25519_1w_adx(B, B, X2); /* B = a24*E+B */ + mul_eltfp25519_2w_adx(X2Z2, X2Z2, AB); /* [X2|Z2] = [B|E]*[A|a24*E+B] */ + mul_eltfp25519_1w_adx(Z3, Z3, X1); /* Z3 = Z3*X1 */ + --j; + } + j = 63; + } + + inv_eltfp25519_1w_adx(A, Qz); + mul_eltfp25519_1w_adx((u64 *)shared, Qx, A); + fred_eltfp25519_1w((u64 *)shared); + + memzero_explicit(buffer, sizeof(buffer)); + memzero_explicit(coordinates, sizeof(coordinates)); + memzero_explicit(workspace, sizeof(workspace)); + memzero_explicit(private, sizeof(private)); + memzero_explicit(session, sizeof(session)); +} + +static void curve25519_adx_base(u8 session_key[CURVE25519_POINT_SIZE], const u8 private_key[CURVE25519_POINT_SIZE]) +{ + __aligned(32) u64 buffer[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u64 coordinates[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u64 workspace[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u8 private[CURVE25519_POINT_SIZE]; + + const int ite[4] = { 64, 64, 64, 63 }; + const int q = 3; + u64 swap = 1; + + int i = 0, j = 0, k = 0; + u64 *const key = (u64 *)private; + u64 *const Ur1 = coordinates + 0; + u64 *const Zr1 = coordinates + 4; + u64 *const Ur2 = coordinates + 8; + u64 *const Zr2 = coordinates + 12; + + u64 *const UZr1 = coordinates + 0; + u64 *const ZUr2 = coordinates + 8; + + u64 *const A = workspace + 0; + u64 *const B = workspace + 4; + u64 *const C = workspace + 8; + u64 *const D = workspace + 12; + + u64 *const AB = workspace + 0; + u64 *const CD = workspace + 8; + + u64 *const buffer_1w = buffer; + u64 *const buffer_2w = buffer; + u64 *P = (u64 *)table_ladder_8k; + + memcpy(private, private_key, sizeof(private)); + + normalize_secret(private); + + setzero_eltfp25519_1w(Ur1); + setzero_eltfp25519_1w(Zr1); + setzero_eltfp25519_1w(Zr2); + Ur1[0] = 1; + Zr1[0] = 1; + Zr2[0] = 1; + + /* G-S */ + Ur2[3] = 0x1eaecdeee27cab34; + Ur2[2] = 0xadc7a0b9235d48e2; + Ur2[1] = 0xbbf095ae14b2edf8; + Ur2[0] = 0x7e94e1fec82faabd; + + /* main-loop */ + j = q; + for (i = 0; i < NUM_WORDS_ELTFP25519; ++i) { + while (j < ite[i]) { + u64 bit = (key[i] >> j) & 0x1; + k = (64 * i + j - q); + swap = swap ^ bit; + cswap(swap, Ur1, Ur2); + cswap(swap, Zr1, Zr2); + swap = bit; + /* Addition */ + sub_eltfp25519_1w(B, Ur1, Zr1); /* B = Ur1-Zr1 */ + add_eltfp25519_1w_adx(A, Ur1, Zr1); /* A = Ur1+Zr1 */ + mul_eltfp25519_1w_adx(C, &P[4 * k], B); /* C = M0-B */ + sub_eltfp25519_1w(B, A, C); /* B = (Ur1+Zr1) - M*(Ur1-Zr1) */ + add_eltfp25519_1w_adx(A, A, C); /* A = (Ur1+Zr1) + M*(Ur1-Zr1) */ + sqr_eltfp25519_2w_adx(AB); /* A = A^2 | B = B^2 */ + mul_eltfp25519_2w_adx(UZr1, ZUr2, AB); /* Ur1 = Zr2*A | Zr1 = Ur2*B */ + ++j; + } + j = 0; + } + + /* Doubling */ + for (i = 0; i < q; ++i) { + add_eltfp25519_1w_adx(A, Ur1, Zr1); /* A = Ur1+Zr1 */ + sub_eltfp25519_1w(B, Ur1, Zr1); /* B = Ur1-Zr1 */ + sqr_eltfp25519_2w_adx(AB); /* A = A**2 B = B**2 */ + copy_eltfp25519_1w(C, B); /* C = B */ + sub_eltfp25519_1w(B, A, B); /* B = A-B */ + mul_a24_eltfp25519_1w(D, B); /* D = my_a24*B */ + add_eltfp25519_1w_adx(D, D, C); /* D = D+C */ + mul_eltfp25519_2w_adx(UZr1, AB, CD); /* Ur1 = A*B Zr1 = Zr1*A */ + } + + /* Convert to affine coordinates */ + inv_eltfp25519_1w_adx(A, Zr1); + mul_eltfp25519_1w_adx((u64 *)session_key, Ur1, A); + fred_eltfp25519_1w((u64 *)session_key); + + memzero_explicit(buffer, sizeof(buffer)); + memzero_explicit(coordinates, sizeof(coordinates)); + memzero_explicit(workspace, sizeof(workspace)); + memzero_explicit(private, sizeof(private)); } -typedef u64 fex[10]; -typedef u64 fe51[5]; -asmlinkage void curve25519_sandy2x_ladder(fex *, const u8 *); -asmlinkage void curve25519_sandy2x_ladder_base(fex *, const u8 *); -asmlinkage void curve25519_sandy2x_fe51_pack(u8 *, const fe51 *); -asmlinkage void curve25519_sandy2x_fe51_mul(fe51 *, const fe51 *, const fe51 *); -asmlinkage void curve25519_sandy2x_fe51_nsquare(fe51 *, const fe51 *, int); - -static inline u32 le24_to_cpupv(const u8 *in) -{ - return le16_to_cpup((__le16 *)in) | ((u32)in[2]) << 16; -} - -static inline void fex_frombytes(fex h, const u8 *s) -{ - u64 h0 = le32_to_cpup((__le32 *)s); - u64 h1 = le24_to_cpupv(s + 4) << 6; - u64 h2 = le24_to_cpupv(s + 7) << 5; - u64 h3 = le24_to_cpupv(s + 10) << 3; - u64 h4 = le24_to_cpupv(s + 13) << 2; - u64 h5 = le32_to_cpup((__le32 *)(s + 16)); - u64 h6 = le24_to_cpupv(s + 20) << 7; - u64 h7 = le24_to_cpupv(s + 23) << 5; - u64 h8 = le24_to_cpupv(s + 26) << 4; - u64 h9 = (le24_to_cpupv(s + 29) & 8388607) << 2; - u64 carry0, carry1, carry2, carry3, carry4, carry5, carry6, carry7, carry8, carry9; - - carry9 = h9 >> 25; h0 += carry9 * 19; h9 &= 0x1FFFFFF; - carry1 = h1 >> 25; h2 += carry1; h1 &= 0x1FFFFFF; - carry3 = h3 >> 25; h4 += carry3; h3 &= 0x1FFFFFF; - carry5 = h5 >> 25; h6 += carry5; h5 &= 0x1FFFFFF; - carry7 = h7 >> 25; h8 += carry7; h7 &= 0x1FFFFFF; - - carry0 = h0 >> 26; h1 += carry0; h0 &= 0x3FFFFFF; - carry2 = h2 >> 26; h3 += carry2; h2 &= 0x3FFFFFF; - carry4 = h4 >> 26; h5 += carry4; h4 &= 0x3FFFFFF; - carry6 = h6 >> 26; h7 += carry6; h6 &= 0x3FFFFFF; - carry8 = h8 >> 26; h9 += carry8; h8 &= 0x3FFFFFF; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -static inline void fe51_invert(fe51 *r, const fe51 *x) -{ - fe51 z2, z9, z11, z2_5_0, z2_10_0, z2_20_0, z2_50_0, z2_100_0, t; - - /* 2 */ curve25519_sandy2x_fe51_nsquare(&z2, x, 1); - /* 4 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&z2, 1); - /* 8 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&t, 1); - /* 9 */ curve25519_sandy2x_fe51_mul(&z9, (const fe51 *)&t, x); - /* 11 */ curve25519_sandy2x_fe51_mul(&z11, (const fe51 *)&z9, (const fe51 *)&z2); - /* 22 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&z11, 1); - /* 2^5 - 2^0 = 31 */ curve25519_sandy2x_fe51_mul(&z2_5_0, (const fe51 *)&t, (const fe51 *)&z9); - - /* 2^10 - 2^5 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&z2_5_0, 5); - /* 2^10 - 2^0 */ curve25519_sandy2x_fe51_mul(&z2_10_0, (const fe51 *)&t, (const fe51 *)&z2_5_0); - - /* 2^20 - 2^10 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&z2_10_0, 10); - /* 2^20 - 2^0 */ curve25519_sandy2x_fe51_mul(&z2_20_0, (const fe51 *)&t, (const fe51 *)&z2_10_0); - - /* 2^40 - 2^20 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&z2_20_0, 20); - /* 2^40 - 2^0 */ curve25519_sandy2x_fe51_mul(&t, (const fe51 *)&t, (const fe51 *)&z2_20_0); - - /* 2^50 - 2^10 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&t, 10); - /* 2^50 - 2^0 */ curve25519_sandy2x_fe51_mul(&z2_50_0, (const fe51 *)&t, (const fe51 *)&z2_10_0); - - /* 2^100 - 2^50 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&z2_50_0, 50); - /* 2^100 - 2^0 */ curve25519_sandy2x_fe51_mul(&z2_100_0, (const fe51 *)&t, (const fe51 *)&z2_50_0); - - /* 2^200 - 2^100 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&z2_100_0, 100); - /* 2^200 - 2^0 */ curve25519_sandy2x_fe51_mul(&t, (const fe51 *)&t, (const fe51 *)&z2_100_0); - - /* 2^250 - 2^50 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&t, 50); - /* 2^250 - 2^0 */ curve25519_sandy2x_fe51_mul(&t, (const fe51 *)&t, (const fe51 *)&z2_50_0); - - /* 2^255 - 2^5 */ curve25519_sandy2x_fe51_nsquare(&t, (const fe51 *)&t, 5); - /* 2^255 - 21 */ curve25519_sandy2x_fe51_mul(r, (const fe51 *)t, (const fe51 *)&z11); -} - -static void curve25519_sandy2x(u8 mypublic[CURVE25519_POINT_SIZE], const u8 secret[CURVE25519_POINT_SIZE], const u8 basepoint[CURVE25519_POINT_SIZE]) -{ - u8 e[32]; - fex var[3]; - fe51 x_51, z_51; - - memcpy(e, secret, 32); - normalize_secret(e); -#define x1 var[0] -#define x2 var[1] -#define z2 var[2] - fex_frombytes(x1, basepoint); - curve25519_sandy2x_ladder(var, e); - z_51[0] = (z2[1] << 26) + z2[0]; - z_51[1] = (z2[3] << 26) + z2[2]; - z_51[2] = (z2[5] << 26) + z2[4]; - z_51[3] = (z2[7] << 26) + z2[6]; - z_51[4] = (z2[9] << 26) + z2[8]; - x_51[0] = (x2[1] << 26) + x2[0]; - x_51[1] = (x2[3] << 26) + x2[2]; - x_51[2] = (x2[5] << 26) + x2[4]; - x_51[3] = (x2[7] << 26) + x2[6]; - x_51[4] = (x2[9] << 26) + x2[8]; -#undef x1 -#undef x2 -#undef z2 - fe51_invert(&z_51, (const fe51 *)&z_51); - curve25519_sandy2x_fe51_mul(&x_51, (const fe51 *)&x_51, (const fe51 *)&z_51); - curve25519_sandy2x_fe51_pack(mypublic, (const fe51 *)&x_51); - - memzero_explicit(e, sizeof(e)); - memzero_explicit(var, sizeof(var)); - memzero_explicit(x_51, sizeof(x_51)); - memzero_explicit(z_51, sizeof(z_51)); -} - -static void curve25519_sandy2x_base(u8 pub[CURVE25519_POINT_SIZE], const u8 secret[CURVE25519_POINT_SIZE]) -{ - u8 e[32]; - fex var[3]; - fe51 x_51, z_51; - - memcpy(e, secret, 32); - normalize_secret(e); - curve25519_sandy2x_ladder_base(var, e); -#define x2 var[0] -#define z2 var[1] - z_51[0] = (z2[1] << 26) + z2[0]; - z_51[1] = (z2[3] << 26) + z2[2]; - z_51[2] = (z2[5] << 26) + z2[4]; - z_51[3] = (z2[7] << 26) + z2[6]; - z_51[4] = (z2[9] << 26) + z2[8]; - x_51[0] = (x2[1] << 26) + x2[0]; - x_51[1] = (x2[3] << 26) + x2[2]; - x_51[2] = (x2[5] << 26) + x2[4]; - x_51[3] = (x2[7] << 26) + x2[6]; - x_51[4] = (x2[9] << 26) + x2[8]; -#undef x2 -#undef z2 - fe51_invert(&z_51, (const fe51 *)&z_51); - curve25519_sandy2x_fe51_mul(&x_51, (const fe51 *)&x_51, (const fe51 *)&z_51); - curve25519_sandy2x_fe51_pack(pub, (const fe51 *)&x_51); - - memzero_explicit(e, sizeof(e)); - memzero_explicit(var, sizeof(var)); - memzero_explicit(x_51, sizeof(x_51)); - memzero_explicit(z_51, sizeof(z_51)); +static void curve25519_bmi2(u8 shared[CURVE25519_POINT_SIZE], const u8 private_key[CURVE25519_POINT_SIZE], const u8 session_key[CURVE25519_POINT_SIZE]) +{ + __aligned(32) u64 buffer[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u64 coordinates[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u64 workspace[6 * NUM_WORDS_ELTFP25519]; + __aligned(32) u8 session[CURVE25519_POINT_SIZE]; + __aligned(32) u8 private[CURVE25519_POINT_SIZE]; + + int i = 0, j = 0; + u64 prev = 0; + u64 *const X1 = (u64 *)session; + u64 *const key = (u64 *)private; + u64 *const Px = coordinates + 0; + u64 *const Pz = coordinates + 4; + u64 *const Qx = coordinates + 8; + u64 *const Qz = coordinates + 12; + u64 *const X2 = Qx; + u64 *const Z2 = Qz; + u64 *const X3 = Px; + u64 *const Z3 = Pz; + u64 *const X2Z2 = Qx; + u64 *const X3Z3 = Px; + + u64 *const A = workspace + 0; + u64 *const B = workspace + 4; + u64 *const D = workspace + 8; + u64 *const C = workspace + 12; + u64 *const DA = workspace + 16; + u64 *const CB = workspace + 20; + u64 *const AB = A; + u64 *const DC = D; + u64 *const DACB = DA; + u64 *const buffer_1w = buffer; + u64 *const buffer_2w = buffer; + + memcpy(private, private_key, sizeof(private)); + memcpy(session, session_key, sizeof(session)); + + normalize_secret(private); + + /* As in the draft: + * When receiving such an array, implementations of curve25519 + * MUST mask the most-significant bit in the final byte. This + * is done to preserve compatibility with point formats which + * reserve the sign bit for use in other protocols and to + * increase resistance to implementation fingerprinting + */ + session[CURVE25519_POINT_SIZE - 1] &= (1 << (255 % 8)) - 1; + + copy_eltfp25519_1w(Px, X1); + setzero_eltfp25519_1w(Pz); + setzero_eltfp25519_1w(Qx); + setzero_eltfp25519_1w(Qz); + + Pz[0] = 1; + Qx[0] = 1; + + /* main-loop */ + prev = 0; + j = 62; + for (i = 3; i >= 0; --i) { + while (j >= 0) { + u64 bit = (key[i] >> j) & 0x1; + u64 swap = bit ^ prev; + prev = bit; + + add_eltfp25519_1w_bmi2(A, X2, Z2); /* A = (X2+Z2) */ + sub_eltfp25519_1w(B, X2, Z2); /* B = (X2-Z2) */ + add_eltfp25519_1w_bmi2(C, X3, Z3); /* C = (X3+Z3) */ + sub_eltfp25519_1w(D, X3, Z3); /* D = (X3-Z3) */ + mul_eltfp25519_2w_bmi2(DACB, AB, DC); /* [DA|CB] = [A|B]*[D|C] */ + + cswap(swap, A, C); + cswap(swap, B, D); + + sqr_eltfp25519_2w_bmi2(AB); /* [AA|BB] = [A^2|B^2] */ + add_eltfp25519_1w_bmi2(X3, DA, CB); /* X3 = (DA+CB) */ + sub_eltfp25519_1w(Z3, DA, CB); /* Z3 = (DA-CB) */ + sqr_eltfp25519_2w_bmi2(X3Z3); /* [X3|Z3] = [(DA+CB)|(DA+CB)]^2 */ + + copy_eltfp25519_1w(X2, B); /* X2 = B^2 */ + sub_eltfp25519_1w(Z2, A, B); /* Z2 = E = AA-BB */ + + mul_a24_eltfp25519_1w(B, Z2); /* B = a24*E */ + add_eltfp25519_1w_bmi2(B, B, X2); /* B = a24*E+B */ + mul_eltfp25519_2w_bmi2(X2Z2, X2Z2, AB); /* [X2|Z2] = [B|E]*[A|a24*E+B] */ + mul_eltfp25519_1w_bmi2(Z3, Z3, X1); /* Z3 = Z3*X1 */ + --j; + } + j = 63; + } + + inv_eltfp25519_1w_bmi2(A, Qz); + mul_eltfp25519_1w_bmi2((u64 *)shared, Qx, A); + fred_eltfp25519_1w((u64 *)shared); + + memzero_explicit(buffer, sizeof(buffer)); + memzero_explicit(coordinates, sizeof(coordinates)); + memzero_explicit(workspace, sizeof(workspace)); + memzero_explicit(private, sizeof(private)); + memzero_explicit(session, sizeof(session)); +} + +static void curve25519_bmi2_base(u8 session_key[CURVE25519_POINT_SIZE], const u8 private_key[CURVE25519_POINT_SIZE]) +{ + __aligned(32) u64 buffer[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u64 coordinates[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u64 workspace[4 * NUM_WORDS_ELTFP25519]; + __aligned(32) u8 private[CURVE25519_POINT_SIZE]; + + const int ite[4] = { 64, 64, 64, 63 }; + const int q = 3; + u64 swap = 1; + + int i = 0, j = 0, k = 0; + u64 *const key = (u64 *)private; + u64 *const Ur1 = coordinates + 0; + u64 *const Zr1 = coordinates + 4; + u64 *const Ur2 = coordinates + 8; + u64 *const Zr2 = coordinates + 12; + + u64 *const UZr1 = coordinates + 0; + u64 *const ZUr2 = coordinates + 8; + + u64 *const A = workspace + 0; + u64 *const B = workspace + 4; + u64 *const C = workspace + 8; + u64 *const D = workspace + 12; + + u64 *const AB = workspace + 0; + u64 *const CD = workspace + 8; + + u64 *const buffer_1w = buffer; + u64 *const buffer_2w = buffer; + u64 *P = (u64 *)table_ladder_8k; + + memcpy(private, private_key, sizeof(private)); + + normalize_secret(private); + + setzero_eltfp25519_1w(Ur1); + setzero_eltfp25519_1w(Zr1); + setzero_eltfp25519_1w(Zr2); + Ur1[0] = 1; + Zr1[0] = 1; + Zr2[0] = 1; + + /* G-S */ + Ur2[3] = 0x1eaecdeee27cab34; + Ur2[2] = 0xadc7a0b9235d48e2; + Ur2[1] = 0xbbf095ae14b2edf8; + Ur2[0] = 0x7e94e1fec82faabd; + + /* main-loop */ + j = q; + for (i = 0; i < NUM_WORDS_ELTFP25519; ++i) { + while (j < ite[i]) { + u64 bit = (key[i] >> j) & 0x1; + k = (64 * i + j - q); + swap = swap ^ bit; + cswap(swap, Ur1, Ur2); + cswap(swap, Zr1, Zr2); + swap = bit; + /* Addition */ + sub_eltfp25519_1w(B, Ur1, Zr1); /* B = Ur1-Zr1 */ + add_eltfp25519_1w_bmi2(A, Ur1, Zr1); /* A = Ur1+Zr1 */ + mul_eltfp25519_1w_bmi2(C, &P[4 * k], B);/* C = M0-B */ + sub_eltfp25519_1w(B, A, C); /* B = (Ur1+Zr1) - M*(Ur1-Zr1) */ + add_eltfp25519_1w_bmi2(A, A, C); /* A = (Ur1+Zr1) + M*(Ur1-Zr1) */ + sqr_eltfp25519_2w_bmi2(AB); /* A = A^2 | B = B^2 */ + mul_eltfp25519_2w_bmi2(UZr1, ZUr2, AB); /* Ur1 = Zr2*A | Zr1 = Ur2*B */ + ++j; + } + j = 0; + } + + /* Doubling */ + for (i = 0; i < q; ++i) { + add_eltfp25519_1w_bmi2(A, Ur1, Zr1); /* A = Ur1+Zr1 */ + sub_eltfp25519_1w(B, Ur1, Zr1); /* B = Ur1-Zr1 */ + sqr_eltfp25519_2w_bmi2(AB); /* A = A**2 B = B**2 */ + copy_eltfp25519_1w(C, B); /* C = B */ + sub_eltfp25519_1w(B, A, B); /* B = A-B */ + mul_a24_eltfp25519_1w(D, B); /* D = my_a24*B */ + add_eltfp25519_1w_bmi2(D, D, C); /* D = D+C */ + mul_eltfp25519_2w_bmi2(UZr1, AB, CD); /* Ur1 = A*B Zr1 = Zr1*A */ + } + + /* Convert to affine coordinates */ + inv_eltfp25519_1w_bmi2(A, Zr1); + mul_eltfp25519_1w_bmi2((u64 *)session_key, Ur1, A); + fred_eltfp25519_1w((u64 *)session_key); + + memzero_explicit(buffer, sizeof(buffer)); + memzero_explicit(coordinates, sizeof(coordinates)); + memzero_explicit(workspace, sizeof(workspace)); + memzero_explicit(private, sizeof(private)); } |