diff options
author | Matt Johnston <matt@ucc.asn.au> | 2006-03-21 16:20:59 +0000 |
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committer | Matt Johnston <matt@ucc.asn.au> | 2006-03-21 16:20:59 +0000 |
commit | f7caf6f5c640cb1756c01184898f176438a3a0c2 (patch) | |
tree | 4d32de11b18d5f6296207961b5f25d0949af80c0 /libtommath/bn_mp_montgomery_reduce.c | |
parent | e444f0cfe67c71d3f38854f27cefae9aea6c4cd9 (diff) | |
parent | 3f49fc5f2ca0ec4adb5cac081f502cbb86702efa (diff) |
propagate from branch 'au.asn.ucc.matt.dropbear' (head 0501e6f661b5415eb76f3b312d183c3adfbfb712)
to branch 'au.asn.ucc.matt.dropbear.cli-agent' (head 01038174ec27245b51bd43a66c01ad930880f67b)
--HG--
branch : agent-client
extra : convert_revision : 12b2f59db65e7339d340e95ac67d6d9ddb193c2b
Diffstat (limited to 'libtommath/bn_mp_montgomery_reduce.c')
-rw-r--r-- | libtommath/bn_mp_montgomery_reduce.c | 114 |
1 files changed, 114 insertions, 0 deletions
diff --git a/libtommath/bn_mp_montgomery_reduce.c b/libtommath/bn_mp_montgomery_reduce.c new file mode 100644 index 0000000..3095fa7 --- /dev/null +++ b/libtommath/bn_mp_montgomery_reduce.c @@ -0,0 +1,114 @@ +#include <tommath.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. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@iahu.ca, http://math.libtomcrypt.org + */ + +/* computes xR**-1 == x (mod N) via Montgomery Reduction */ +int +mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) +{ + int ix, res, digs; + mp_digit mu; + + /* can the fast reduction [comba] method be used? + * + * Note that unlike in mul you're safely allowed *less* + * than the available columns [255 per default] since carries + * are fixed up in the inner loop. + */ + digs = n->used * 2 + 1; + if ((digs < MP_WARRAY) && + n->used < + (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + return fast_mp_montgomery_reduce (x, n, rho); + } + + /* grow the input as required */ + if (x->alloc < digs) { + if ((res = mp_grow (x, digs)) != MP_OKAY) { + return res; + } + } + x->used = digs; + + for (ix = 0; ix < n->used; ix++) { + /* mu = ai * rho mod b + * + * The value of rho must be precalculated via + * montgomery_setup() such that + * it equals -1/n0 mod b this allows the + * following inner loop to reduce the + * input one digit at a time + */ + mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); + + /* a = a + mu * m * b**i */ + { + register int iy; + register mp_digit *tmpn, *tmpx, u; + register mp_word r; + + /* alias for digits of the modulus */ + tmpn = n->dp; + + /* alias for the digits of x [the input] */ + tmpx = x->dp + ix; + + /* set the carry to zero */ + u = 0; + + /* Multiply and add in place */ + for (iy = 0; iy < n->used; iy++) { + /* compute product and sum */ + r = ((mp_word)mu) * ((mp_word)*tmpn++) + + ((mp_word) u) + ((mp_word) * tmpx); + + /* get carry */ + u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + + /* fix digit */ + *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); + } + /* At this point the ix'th digit of x should be zero */ + + + /* propagate carries upwards as required*/ + while (u) { + *tmpx += u; + u = *tmpx >> DIGIT_BIT; + *tmpx++ &= MP_MASK; + } + } + } + + /* at this point the n.used'th least + * significant digits of x are all zero + * which means we can shift x to the + * right by n.used digits and the + * residue is unchanged. + */ + + /* x = x/b**n.used */ + mp_clamp(x); + mp_rshd (x, n->used); + + /* if x >= n then x = x - n */ + if (mp_cmp_mag (x, n) != MP_LT) { + return s_mp_sub (x, n, x); + } + + return MP_OKAY; +} +#endif |