#ifndef _SECP256K1_ECDSA_IMPL_H_ #define _SECP256K1_ECDSA_IMPL_H_ #include "../num.h" #include "../field.h" #include "../group.h" #include "../ecmult.h" #include "../ecdsa.h" void static secp256k1_ecdsa_sig_init(secp256k1_ecdsa_sig_t *r) { secp256k1_num_init(&r->r); secp256k1_num_init(&r->s); } void static secp256k1_ecdsa_sig_free(secp256k1_ecdsa_sig_t *r) { secp256k1_num_free(&r->r); secp256k1_num_free(&r->s); } int static secp256k1_ecdsa_pubkey_parse(secp256k1_ge_t *elem, const unsigned char *pub, int size) { if (size == 33 && (pub[0] == 0x02 || pub[0] == 0x03)) { secp256k1_fe_t x; secp256k1_fe_set_b32(&x, pub+1); secp256k1_ge_set_xo(elem, &x, pub[0] == 0x03); } else if (size == 65 && (pub[0] == 0x04 || pub[0] == 0x06 || pub[0] == 0x07)) { secp256k1_fe_t x, y; secp256k1_fe_set_b32(&x, pub+1); secp256k1_fe_set_b32(&y, pub+33); secp256k1_ge_set_xy(elem, &x, &y); if ((pub[0] == 0x06 || pub[0] == 0x07) && secp256k1_fe_is_odd(&y) != (pub[0] == 0x07)) return 0; } else { return 0; } return secp256k1_ge_is_valid(elem); } int static secp256k1_ecdsa_sig_parse(secp256k1_ecdsa_sig_t *r, const unsigned char *sig, int size) { if (sig[0] != 0x30) return 0; int lenr = sig[3]; if (5+lenr >= size) return 0; int lens = sig[lenr+5]; if (sig[1] != lenr+lens+4) return 0; if (lenr+lens+6 > size) return 0; if (sig[2] != 0x02) return 0; if (lenr == 0) return 0; if (sig[lenr+4] != 0x02) return 0; if (lens == 0) return 0; secp256k1_num_set_bin(&r->r, sig+4, lenr); secp256k1_num_set_bin(&r->s, sig+6+lenr, lens); return 1; } int static secp256k1_ecdsa_sig_serialize(unsigned char *sig, int *size, const secp256k1_ecdsa_sig_t *a) { int lenR = (secp256k1_num_bits(&a->r) + 7)/8; if (lenR == 0 || secp256k1_num_get_bit(&a->r, lenR*8-1)) lenR++; int lenS = (secp256k1_num_bits(&a->s) + 7)/8; if (lenS == 0 || secp256k1_num_get_bit(&a->s, lenS*8-1)) lenS++; if (*size < 6+lenS+lenR) return 0; *size = 6 + lenS + lenR; sig[0] = 0x30; sig[1] = 4 + lenS + lenR; sig[2] = 0x02; sig[3] = lenR; secp256k1_num_get_bin(sig+4, lenR, &a->r); sig[4+lenR] = 0x02; sig[5+lenR] = lenS; secp256k1_num_get_bin(sig+lenR+6, lenS, &a->s); return 1; } int static secp256k1_ecdsa_sig_recompute(secp256k1_num_t *r2, const secp256k1_ecdsa_sig_t *sig, const secp256k1_ge_t *pubkey, const secp256k1_num_t *message) { const secp256k1_ge_consts_t *c = secp256k1_ge_consts; if (secp256k1_num_is_neg(&sig->r) || secp256k1_num_is_neg(&sig->s)) return 0; if (secp256k1_num_is_zero(&sig->r) || secp256k1_num_is_zero(&sig->s)) return 0; if (secp256k1_num_cmp(&sig->r, &c->order) >= 0 || secp256k1_num_cmp(&sig->s, &c->order) >= 0) return 0; int ret = 0; secp256k1_num_t sn, u1, u2; secp256k1_num_init(&sn); secp256k1_num_init(&u1); secp256k1_num_init(&u2); secp256k1_num_mod_inverse(&sn, &sig->s, &c->order); secp256k1_num_mod_mul(&u1, &sn, message, &c->order); secp256k1_num_mod_mul(&u2, &sn, &sig->r, &c->order); secp256k1_gej_t pubkeyj; secp256k1_gej_set_ge(&pubkeyj, pubkey); secp256k1_gej_t pr; secp256k1_ecmult(&pr, &pubkeyj, &u2, &u1); if (!secp256k1_gej_is_infinity(&pr)) { secp256k1_fe_t xr; secp256k1_gej_get_x(&xr, &pr); secp256k1_fe_normalize(&xr); unsigned char xrb[32]; secp256k1_fe_get_b32(xrb, &xr); secp256k1_num_set_bin(r2, xrb, 32); secp256k1_num_mod(r2, &c->order); ret = 1; } secp256k1_num_free(&sn); secp256k1_num_free(&u1); secp256k1_num_free(&u2); return ret; } int static secp256k1_ecdsa_sig_verify(const secp256k1_ecdsa_sig_t *sig, const secp256k1_ge_t *pubkey, const secp256k1_num_t *message) { secp256k1_num_t r2; secp256k1_num_init(&r2); int ret = 0; ret = secp256k1_ecdsa_sig_recompute(&r2, sig, pubkey, message) && secp256k1_num_cmp(&sig->r, &r2) == 0; secp256k1_num_free(&r2); return ret; } int static secp256k1_ecdsa_sig_sign(secp256k1_ecdsa_sig_t *sig, const secp256k1_num_t *seckey, const secp256k1_num_t *message, const secp256k1_num_t *nonce) { const secp256k1_ge_consts_t *c = secp256k1_ge_consts; secp256k1_gej_t rp; secp256k1_ecmult_gen(&rp, nonce); secp256k1_fe_t rx; secp256k1_gej_get_x(&rx, &rp); unsigned char b[32]; secp256k1_fe_normalize(&rx); secp256k1_fe_get_b32(b, &rx); secp256k1_num_set_bin(&sig->r, b, 32); secp256k1_num_mod(&sig->r, &c->order); secp256k1_num_t n; secp256k1_num_init(&n); secp256k1_num_mod_mul(&n, &sig->r, seckey, &c->order); secp256k1_num_add(&n, &n, message); secp256k1_num_mod(&n, &c->order); secp256k1_num_mod_inverse(&sig->s, nonce, &c->order); secp256k1_num_mod_mul(&sig->s, &sig->s, &n, &c->order); secp256k1_num_free(&n); if (secp256k1_num_is_zero(&sig->s)) return 0; if (secp256k1_num_is_odd(&sig->s)) secp256k1_num_sub(&sig->s, &c->order, &sig->s); return 1; } void static secp256k1_ecdsa_sig_set_rs(secp256k1_ecdsa_sig_t *sig, const secp256k1_num_t *r, const secp256k1_num_t *s) { secp256k1_num_copy(&sig->r, r); secp256k1_num_copy(&sig->s, s); } void static secp256k1_ecdsa_pubkey_serialize(secp256k1_ge_t *elem, unsigned char *pub, int *size, int compressed) { secp256k1_fe_normalize(&elem->x); secp256k1_fe_normalize(&elem->y); secp256k1_fe_get_b32(&pub[1], &elem->x); if (compressed) { *size = 33; pub[0] = 0x02 | (secp256k1_fe_is_odd(&elem->y) ? 0x01 : 0x00); } else { *size = 65; pub[0] = 0x04; secp256k1_fe_get_b32(&pub[33], &elem->y); } } #endif