/********************************************************************** * Copyright (c) 2013, 2014 Pieter Wuille * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ #ifndef _SECP256K1_ECDSA_IMPL_H_ #define _SECP256K1_ECDSA_IMPL_H_ #include "scalar.h" #include "field.h" #include "group.h" #include "ecmult.h" #include "ecmult_gen.h" #include "ecdsa.h" typedef struct { secp256k1_fe_t order_as_fe; secp256k1_fe_t p_minus_order; } secp256k1_ecdsa_consts_t; static const secp256k1_ecdsa_consts_t *secp256k1_ecdsa_consts = NULL; static void secp256k1_ecdsa_start(void) { if (secp256k1_ecdsa_consts != NULL) return; /* Allocate. */ secp256k1_ecdsa_consts_t *ret = (secp256k1_ecdsa_consts_t*)malloc(sizeof(secp256k1_ecdsa_consts_t)); unsigned char p[32]; secp256k1_num_get_bin(p, 32, &secp256k1_ge_consts->order); secp256k1_fe_set_b32(&ret->order_as_fe, p); secp256k1_fe_negate(&ret->p_minus_order, &ret->order_as_fe, 1); secp256k1_fe_normalize(&ret->p_minus_order); /* Set the global pointer. */ secp256k1_ecdsa_consts = ret; } static void secp256k1_ecdsa_stop(void) { if (secp256k1_ecdsa_consts == NULL) return; secp256k1_ecdsa_consts_t *c = (secp256k1_ecdsa_consts_t*)secp256k1_ecmult_consts; secp256k1_ecdsa_consts = NULL; free(c); } static int 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; const unsigned char *sp = sig + 6 + lenr; while (lens > 0 && sp[0] == 0) { lens--; sp++; } if (lens > 32) return 0; const unsigned char *rp = sig + 4; while (lenr > 0 && rp[0] == 0) { lenr--; rp++; } if (lenr > 32) return 0; unsigned char ra[32] = {0}, sa[32] = {0}; memcpy(ra + 32 - lenr, rp, lenr); memcpy(sa + 32 - lens, sp, lens); int overflow = 0; secp256k1_scalar_set_b32(&r->r, ra, &overflow); if (overflow) return 0; secp256k1_scalar_set_b32(&r->s, sa, &overflow); if (overflow) return 0; return 1; } static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, int *size, const secp256k1_ecdsa_sig_t *a) { unsigned char r[33] = {0}, s[33] = {0}; secp256k1_scalar_get_b32(&r[1], &a->r); secp256k1_scalar_get_b32(&s[1], &a->s); unsigned char *rp = r, *sp = s; int lenR = 33, lenS = 33; while (lenR > 1 && rp[0] == 0 && rp[1] < 0x80) { lenR--; rp++; } while (lenS > 1 && sp[0] == 0 && sp[1] < 0x80) { lenS--; sp++; } 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; memcpy(sig+4, rp, lenR); sig[4+lenR] = 0x02; sig[5+lenR] = lenS; memcpy(sig+lenR+6, sp, lenS); return 1; } static int secp256k1_ecdsa_sig_recompute(secp256k1_scalar_t *r2, const secp256k1_ecdsa_sig_t *sig, const secp256k1_ge_t *pubkey, const secp256k1_scalar_t *message) { if (secp256k1_scalar_is_zero(&sig->r) || secp256k1_scalar_is_zero(&sig->s)) return 0; int ret = 0; secp256k1_scalar_t sn, u1, u2; secp256k1_scalar_inverse_var(&sn, &sig->s); secp256k1_scalar_mul(&u1, &sn, message); secp256k1_scalar_mul(&u2, &sn, &sig->r); 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_var(&xr, &pr); secp256k1_fe_normalize(&xr); unsigned char xrb[32]; secp256k1_fe_get_b32(xrb, &xr); secp256k1_scalar_set_b32(r2, xrb, NULL); ret = 1; } return ret; } static int secp256k1_ecdsa_sig_recover(const secp256k1_ecdsa_sig_t *sig, secp256k1_ge_t *pubkey, const secp256k1_scalar_t *message, int recid) { if (secp256k1_scalar_is_zero(&sig->r) || secp256k1_scalar_is_zero(&sig->s)) return 0; unsigned char brx[32]; secp256k1_scalar_get_b32(brx, &sig->r); secp256k1_fe_t fx; VERIFY_CHECK(secp256k1_fe_set_b32(&fx, brx)); /* brx comes from a scalar, so is less than the order; certainly less than p */ if (recid & 2) { if (secp256k1_fe_cmp_var(&fx, &secp256k1_ecdsa_consts->p_minus_order) >= 0) return 0; secp256k1_fe_add(&fx, &secp256k1_ecdsa_consts->order_as_fe); } secp256k1_ge_t x; if (!secp256k1_ge_set_xo(&x, &fx, recid & 1)) return 0; secp256k1_gej_t xj; secp256k1_gej_set_ge(&xj, &x); secp256k1_scalar_t rn, u1, u2; secp256k1_scalar_inverse_var(&rn, &sig->r); secp256k1_scalar_mul(&u1, &rn, message); secp256k1_scalar_negate(&u1, &u1); secp256k1_scalar_mul(&u2, &rn, &sig->s); secp256k1_gej_t qj; secp256k1_ecmult(&qj, &xj, &u2, &u1); secp256k1_ge_set_gej_var(pubkey, &qj); return !secp256k1_gej_is_infinity(&qj); } static int secp256k1_ecdsa_sig_verify(const secp256k1_ecdsa_sig_t *sig, const secp256k1_ge_t *pubkey, const secp256k1_scalar_t *message) { secp256k1_scalar_t r2; int ret = 0; ret = secp256k1_ecdsa_sig_recompute(&r2, sig, pubkey, message) && secp256k1_scalar_eq(&sig->r, &r2); return ret; } static int secp256k1_ecdsa_sig_sign(secp256k1_ecdsa_sig_t *sig, const secp256k1_scalar_t *seckey, const secp256k1_scalar_t *message, const secp256k1_scalar_t *nonce, int *recid) { secp256k1_gej_t rp; secp256k1_ecmult_gen(&rp, nonce); secp256k1_ge_t r; secp256k1_ge_set_gej(&r, &rp); unsigned char b[32]; secp256k1_fe_normalize(&r.x); secp256k1_fe_normalize(&r.y); secp256k1_fe_get_b32(b, &r.x); int overflow = 0; secp256k1_scalar_set_b32(&sig->r, b, &overflow); if (recid) *recid = (overflow ? 2 : 0) | (secp256k1_fe_is_odd(&r.y) ? 1 : 0); secp256k1_scalar_t n; secp256k1_scalar_mul(&n, &sig->r, seckey); secp256k1_scalar_add(&n, &n, message); secp256k1_scalar_inverse(&sig->s, nonce); secp256k1_scalar_mul(&sig->s, &sig->s, &n); secp256k1_scalar_clear(&n); secp256k1_gej_clear(&rp); secp256k1_ge_clear(&r); if (secp256k1_scalar_is_zero(&sig->s)) return 0; if (secp256k1_scalar_is_high(&sig->s)) { secp256k1_scalar_negate(&sig->s, &sig->s); if (recid) *recid ^= 1; } return 1; } static void secp256k1_ecdsa_sig_set_rs(secp256k1_ecdsa_sig_t *sig, const secp256k1_scalar_t *r, const secp256k1_scalar_t *s) { sig->r = *r; sig->s = *s; } #endif