/* LibTomCrypt, modular cryptographic library -- Tom St Denis */ /* SPDX-License-Identifier: Unlicense */ #include "tomcrypt_private.h" #ifdef LTC_MECC int ecc_verify_hash_internal(void *r, void *s, const unsigned char *hash, unsigned long hashlen, int *stat, const ecc_key *key) { ecc_point *mG = NULL, *mQ = NULL; void *v, *w, *u1, *u2, *e, *p, *m, *a, *a_plus3; void *mu = NULL, *ma = NULL; void *mp = NULL; int err; unsigned long pbits, pbytes, i, shift_right; unsigned char ch, buf[MAXBLOCKSIZE]; LTC_ARGCHK(r != NULL); LTC_ARGCHK(s != NULL); LTC_ARGCHK(hash != NULL); LTC_ARGCHK(stat != NULL); LTC_ARGCHK(key != NULL); /* default to invalid signature */ *stat = 0; /* allocate ints */ if ((err = ltc_mp_init_multi(&v, &w, &u1, &u2, &e, &a_plus3, LTC_NULL)) != CRYPT_OK) { return err; } p = key->dp.order; m = key->dp.prime; a = key->dp.A; if ((err = ltc_mp_add_d(a, 3, a_plus3)) != CRYPT_OK) { goto error; } /* allocate points */ mG = ltc_ecc_new_point(); mQ = ltc_ecc_new_point(); if (mQ == NULL || mG == NULL) { err = CRYPT_MEM; goto error; } /* check for zero */ if (ltc_mp_cmp_d(r, 0) != LTC_MP_GT || ltc_mp_cmp_d(s, 0) != LTC_MP_GT || ltc_mp_cmp(r, p) != LTC_MP_LT || ltc_mp_cmp(s, p) != LTC_MP_LT) { err = CRYPT_INVALID_PACKET; goto error; } /* read hash - truncate if needed */ pbits = ltc_mp_count_bits(p); pbytes = (pbits+7) >> 3; if (pbits > hashlen*8) { if ((err = ltc_mp_read_unsigned_bin(e, (unsigned char *)hash, hashlen)) != CRYPT_OK) { goto error; } } else if (pbits % 8 == 0) { if ((err = ltc_mp_read_unsigned_bin(e, (unsigned char *)hash, pbytes)) != CRYPT_OK) { goto error; } } else { if (pbytes >= MAXBLOCKSIZE) { err = CRYPT_BUFFER_OVERFLOW; goto error; } shift_right = 8 - pbits % 8; for (i=0, ch=0; i> shift_right); } if ((err = ltc_mp_read_unsigned_bin(e, (unsigned char *)buf, pbytes)) != CRYPT_OK) { goto error; } } /* w = s^-1 mod n */ if ((err = ltc_mp_invmod(s, p, w)) != CRYPT_OK) { goto error; } /* u1 = ew */ if ((err = ltc_mp_mulmod(e, w, p, u1)) != CRYPT_OK) { goto error; } /* u2 = rw */ if ((err = ltc_mp_mulmod(r, w, p, u2)) != CRYPT_OK) { goto error; } /* find mG and mQ */ if ((err = ltc_ecc_copy_point(&key->dp.base, mG)) != CRYPT_OK) { goto error; } if ((err = ltc_ecc_copy_point(&key->pubkey, mQ)) != CRYPT_OK) { goto error; } /* find the montgomery mp */ if ((err = ltc_mp_montgomery_setup(m, &mp)) != CRYPT_OK) { goto error; } /* for curves with a == -3 keep ma == NULL */ if (ltc_mp_cmp(a_plus3, m) != LTC_MP_EQ) { if ((err = ltc_mp_init_multi(&mu, &ma, NULL)) != CRYPT_OK) { goto error; } if ((err = ltc_mp_montgomery_normalization(mu, m)) != CRYPT_OK) { goto error; } if ((err = ltc_mp_mulmod(a, mu, m, ma)) != CRYPT_OK) { goto error; } } /* compute u1*mG + u2*mQ = mG */ if (ltc_mp.ecc_mul2add == NULL) { if ((err = ltc_mp.ecc_ptmul(u1, mG, mG, a, m, 0)) != CRYPT_OK) { goto error; } if ((err = ltc_mp.ecc_ptmul(u2, mQ, mQ, a, m, 0)) != CRYPT_OK) { goto error; } /* add them */ if ((err = ltc_mp.ecc_ptadd(mQ, mG, mG, ma, m, mp)) != CRYPT_OK) { goto error; } /* reduce */ if ((err = ltc_mp.ecc_map(mG, m, mp)) != CRYPT_OK) { goto error; } } else { /* use Shamir's trick to compute u1*mG + u2*mQ using half of the doubles */ if ((err = ltc_mp.ecc_mul2add(mG, u1, mQ, u2, mG, ma, m)) != CRYPT_OK) { goto error; } } /* v = X_x1 mod n */ if ((err = ltc_mp_mod(mG->x, p, v)) != CRYPT_OK) { goto error; } /* does v == r */ if (ltc_mp_cmp(v, r) == LTC_MP_EQ) { *stat = 1; } /* clear up and return */ err = CRYPT_OK; error: if (mG != NULL) ltc_ecc_del_point(mG); if (mQ != NULL) ltc_ecc_del_point(mQ); if (mu != NULL) ltc_mp_clear(mu); if (ma != NULL) ltc_mp_clear(ma); ltc_mp_deinit_multi(v, w, u1, u2, e, a_plus3, LTC_NULL); if (mp != NULL) ltc_mp_montgomery_free(mp); return err; } #endif