#include "tommath_private.h" #ifdef MP_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis */ /* SPDX-License-Identifier: Unlicense */ /* high level multiplication (handles sign) */ mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c) { mp_err err; int min = MP_MIN(a->used, b->used), max = MP_MAX(a->used, b->used), digs = a->used + b->used + 1; bool neg = (a->sign != b->sign); if ((a == b) && MP_HAS(S_MP_SQR_TOOM) && /* use Toom-Cook? */ (a->used >= MP_SQR_TOOM_CUTOFF)) { err = s_mp_sqr_toom(a, c); } else if ((a == b) && MP_HAS(S_MP_SQR_KARATSUBA) && /* Karatsuba? */ (a->used >= MP_SQR_KARATSUBA_CUTOFF)) { err = s_mp_sqr_karatsuba(a, c); } else if ((a == b) && MP_HAS(S_MP_SQR_COMBA) && /* can we use the fast comba multiplier? */ (((a->used * 2) + 1) < MP_WARRAY) && (a->used < (MP_MAX_COMBA / 2))) { err = s_mp_sqr_comba(a, c); } else if ((a == b) && MP_HAS(S_MP_SQR)) { err = s_mp_sqr(a, c); } else if (MP_HAS(S_MP_MUL_BALANCE) && /* 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_MUL_KARATSUBA_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 s_mp_mul_comba * was actually slower on the author's machine, but YMMV. */ (min >= MP_MUL_KARATSUBA_CUTOFF) && ((max / 2) >= MP_MUL_KARATSUBA_CUTOFF) && /* Not much effect was observed below a ratio of 1:2, but again: YMMV. */ (max >= (2 * min))) { err = s_mp_mul_balance(a,b,c); } else if (MP_HAS(S_MP_MUL_TOOM) && (min >= MP_MUL_TOOM_CUTOFF)) { err = s_mp_mul_toom(a, b, c); } else if (MP_HAS(S_MP_MUL_KARATSUBA) && (min >= MP_MUL_KARATSUBA_CUTOFF)) { err = s_mp_mul_karatsuba(a, b, c); } else if (MP_HAS(S_MP_MUL_COMBA) && /* 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 <= MP_MAX_COMBA)) { err = s_mp_mul_comba(a, b, c, digs); } else if (MP_HAS(S_MP_MUL)) { err = s_mp_mul(a, b, c, digs); } else { err = MP_VAL; } c->sign = ((c->used > 0) && neg) ? MP_NEG : MP_ZPOS; return err; } #endif