/* * Copyright 1998-2016 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the OpenSSL license (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html */ #include "internal/cryptlib.h" #include "bn_lcl.h" int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx) { /* * like BN_mod, but returns non-negative remainder (i.e., 0 <= r < |d| * always holds) */ if (!(BN_mod(r, m, d, ctx))) return 0; if (!r->neg) return 1; /* now -|d| < r < 0, so we have to set r := r + |d| */ return (d->neg ? BN_sub : BN_add) (r, r, d); } int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx) { if (!BN_add(r, a, b)) return 0; return BN_nnmod(r, r, m, ctx); } /* * BN_mod_add variant that may be used if both a and b are non-negative and * less than m */ int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m) { if (!BN_uadd(r, a, b)) return 0; if (BN_ucmp(r, m) >= 0) return BN_usub(r, r, m); return 1; } int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx) { if (!BN_sub(r, a, b)) return 0; return BN_nnmod(r, r, m, ctx); } /* * BN_mod_sub variant that may be used if both a and b are non-negative and * less than m */ int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m) { if (!BN_sub(r, a, b)) return 0; if (r->neg) return BN_add(r, r, m); return 1; } /* slow but works */ int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx) { BIGNUM *t; int ret = 0; bn_check_top(a); bn_check_top(b); bn_check_top(m); BN_CTX_start(ctx); if ((t = BN_CTX_get(ctx)) == NULL) goto err; if (a == b) { if (!BN_sqr(t, a, ctx)) goto err; } else { if (!BN_mul(t, a, b, ctx)) goto err; } if (!BN_nnmod(r, t, m, ctx)) goto err; bn_check_top(r); ret = 1; err: BN_CTX_end(ctx); return (ret); } int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx) { if (!BN_sqr(r, a, ctx)) return 0; /* r->neg == 0, thus we don't need BN_nnmod */ return BN_mod(r, r, m, ctx); } int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx) { if (!BN_lshift1(r, a)) return 0; bn_check_top(r); return BN_nnmod(r, r, m, ctx); } /* * BN_mod_lshift1 variant that may be used if a is non-negative and less than * m */ int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m) { if (!BN_lshift1(r, a)) return 0; bn_check_top(r); if (BN_cmp(r, m) >= 0) return BN_sub(r, r, m); return 1; } int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx) { BIGNUM *abs_m = NULL; int ret; if (!BN_nnmod(r, a, m, ctx)) return 0; if (m->neg) { abs_m = BN_dup(m); if (abs_m == NULL) return 0; abs_m->neg = 0; } ret = BN_mod_lshift_quick(r, r, n, (abs_m ? abs_m : m)); bn_check_top(r); BN_free(abs_m); return ret; } /* * BN_mod_lshift variant that may be used if a is non-negative and less than * m */ int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m) { if (r != a) { if (BN_copy(r, a) == NULL) return 0; } while (n > 0) { int max_shift; /* 0 < r < m */ max_shift = BN_num_bits(m) - BN_num_bits(r); /* max_shift >= 0 */ if (max_shift < 0) { BNerr(BN_F_BN_MOD_LSHIFT_QUICK, BN_R_INPUT_NOT_REDUCED); return 0; } if (max_shift > n) max_shift = n; if (max_shift) { if (!BN_lshift(r, r, max_shift)) return 0; n -= max_shift; } else { if (!BN_lshift1(r, r)) return 0; --n; } /* BN_num_bits(r) <= BN_num_bits(m) */ if (BN_cmp(r, m) >= 0) { if (!BN_sub(r, r, m)) return 0; } } bn_check_top(r); return 1; }