Mercurial > dropbear
diff libtommath/bn_mp_kronecker.c @ 1655:f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
* make key-generation compliant to FIPS 186.4
* fix includes in tommath_class.h
* update fuzzcorpus instead of error-out
* fixup fuzzing make-targets
* update Makefile.in
* apply necessary patches to ltm sources
* clean-up not required ltm files
* update to vanilla ltm 1.1.0
this already only contains the required files
* remove set/get double
author | Steffen Jaeckel <s_jaeckel@gmx.de> |
---|---|
date | Mon, 16 Sep 2019 15:50:38 +0200 |
parents | |
children | 1051e4eea25a |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/libtommath/bn_mp_kronecker.c Mon Sep 16 15:50:38 2019 +0200 @@ -0,0 +1,144 @@ +#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 + */ + +/* + Kronecker symbol (a|p) + Straightforward implementation of algorithm 1.4.10 in + Henri Cohen: "A Course in Computational Algebraic Number Theory" + + @book{cohen2013course, + title={A course in computational algebraic number theory}, + author={Cohen, Henri}, + volume={138}, + year={2013}, + publisher={Springer Science \& Business Media} + } + */ +int mp_kronecker(const mp_int *a, const mp_int *p, int *c) +{ + mp_int a1, p1, r; + + int e = MP_OKAY; + int v, k; + + static const int table[8] = {0, 1, 0, -1, 0, -1, 0, 1}; + + if (mp_iszero(p) != MP_NO) { + if ((a->used == 1) && (a->dp[0] == 1u)) { + *c = 1; + return e; + } else { + *c = 0; + return e; + } + } + + if ((mp_iseven(a) != MP_NO) && (mp_iseven(p) != MP_NO)) { + *c = 0; + return e; + } + + if ((e = mp_init_copy(&a1, a)) != MP_OKAY) { + return e; + } + if ((e = 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) { + goto LBL_KRON_1; + } + + if ((v & 0x1) == 0) { + k = 1; + } else { + k = table[a->dp[0] & 7u]; + } + + if (p1.sign == MP_NEG) { + p1.sign = MP_ZPOS; + if (a1.sign == MP_NEG) { + k = -k; + } + } + + if ((e = mp_init(&r)) != MP_OKAY) { + goto LBL_KRON_1; + } + + for (;;) { + if (mp_iszero(&a1) != MP_NO) { + if (mp_cmp_d(&p1, 1uL) == MP_EQ) { + *c = k; + goto LBL_KRON; + } else { + *c = 0; + goto LBL_KRON; + } + } + + v = mp_cnt_lsb(&a1); + if ((e = mp_div_2d(&a1, v, &a1, NULL)) != MP_OKAY) { + goto LBL_KRON; + } + + if ((v & 0x1) == 1) { + k = k * table[p1.dp[0] & 7u]; + } + + if (a1.sign == MP_NEG) { + /* + * Compute k = (-1)^((a1)*(p1-1)/4) * k + * a1.dp[0] + 1 cannot overflow because the MSB + * of the type mp_digit is not set by definition + */ + if (((a1.dp[0] + 1u) & p1.dp[0] & 2u) != 0u) { + k = -k; + } + } else { + /* compute k = (-1)^((a1-1)*(p1-1)/4) * k */ + if ((a1.dp[0] & p1.dp[0] & 2u) != 0u) { + k = -k; + } + } + + if ((e = mp_copy(&a1, &r)) != MP_OKAY) { + goto LBL_KRON; + } + r.sign = MP_ZPOS; + if ((e = mp_mod(&p1, &r, &a1)) != MP_OKAY) { + goto LBL_KRON; + } + if ((e = mp_copy(&r, &p1)) != MP_OKAY) { + goto LBL_KRON; + } + } + +LBL_KRON: + mp_clear(&r); +LBL_KRON_1: + mp_clear(&p1); +LBL_KRON_0: + mp_clear(&a1); + + return e; +} + +#endif + +/* ref: HEAD -> master, tag: v1.1.0 */ +/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ +/* commit time: 2019-01-28 20:32:32 +0100 */