#ifndef SECP256K1_DLEQ_IMPL_H #define SECP256K1_DLEQ_IMPL_H /* Initializes SHA256 with fixed midstate. This midstate was computed by applying * SHA256 to SHA256("DLEQ")||SHA256("DLEQ"). */ static void secp256k1_nonce_function_dleq_sha256_tagged(secp256k1_sha256 *sha) { static const uint32_t midstate[8] = { 0x8cc4beacul, 0x2e011f3ful, 0x355c75fbul, 0x3ba6a2c5ul, 0xe96f3aeful, 0x180530fdul, 0x94582499ul, 0x577fd564ul }; secp256k1_sha256_initialize_midstate(sha, 64, midstate); } /* algo argument for nonce_function_ecdsa_adaptor to derive the nonce using a tagged hash function. */ static const unsigned char dleq_algo[] = {'D','L','E','Q'}; static void secp256k1_dleq_hash_point(secp256k1_sha256 *sha, secp256k1_ge *p) { unsigned char buf[33]; size_t size = 33; secp256k1_eckey_pubkey_serialize33(p, buf); secp256k1_sha256_write(sha, buf, size); } static int secp256k1_dleq_nonce(secp256k1_scalar *k, const unsigned char *sk32, const unsigned char *gen2_33, const unsigned char *p1_33, const unsigned char *p2_33, secp256k1_nonce_function_hardened_ecdsa_adaptor noncefp, void *ndata) { secp256k1_sha256 sha; unsigned char buf[32]; unsigned char nonce[32]; size_t size = 33; if (noncefp == NULL) { noncefp = secp256k1_nonce_function_ecdsa_adaptor; } secp256k1_sha256_initialize(&sha); secp256k1_sha256_write(&sha, p1_33, size); secp256k1_sha256_write(&sha, p2_33, size); secp256k1_sha256_finalize(&sha, buf); secp256k1_sha256_clear(&sha); if (!noncefp(nonce, buf, sk32, gen2_33, dleq_algo, sizeof(dleq_algo), ndata)) { return 0; } secp256k1_scalar_set_b32(k, nonce, NULL); if (secp256k1_scalar_is_zero(k)) { return 0; } return 1; } /* Generates a challenge as defined in the DLC Specification at * https://github.com/discreetlogcontracts/dlcspecs */ static void secp256k1_dleq_challenge(secp256k1_scalar *e, secp256k1_ge *gen2, secp256k1_ge *r1, secp256k1_ge *r2, secp256k1_ge *p1, secp256k1_ge *p2) { unsigned char buf[32]; secp256k1_sha256 sha; secp256k1_nonce_function_dleq_sha256_tagged(&sha); secp256k1_dleq_hash_point(&sha, p1); secp256k1_dleq_hash_point(&sha, gen2); secp256k1_dleq_hash_point(&sha, p2); secp256k1_dleq_hash_point(&sha, r1); secp256k1_dleq_hash_point(&sha, r2); secp256k1_sha256_finalize(&sha, buf); secp256k1_sha256_clear(&sha); secp256k1_scalar_set_b32(e, buf, NULL); } /* p[0] = x*G, p[1] = x*Y */ static void secp256k1_dleq_pair(const secp256k1_ecmult_gen_context *ecmult_gen_ctx, secp256k1_ge *p, const secp256k1_scalar *sk, const secp256k1_ge *gen2) { secp256k1_gej pj[2]; secp256k1_ecmult_gen(ecmult_gen_ctx, &pj[0], sk); secp256k1_ecmult_const(&pj[1], gen2, sk); secp256k1_ge_set_all_gej(p, pj, 2); } /* Generates a proof that the discrete logarithm of P1 to the secp256k1 base G is the * same as the discrete logarithm of P2 to the base Y */ static int secp256k1_dleq_prove(const secp256k1_context* ctx, secp256k1_scalar *s, secp256k1_scalar *e, const secp256k1_scalar *sk, secp256k1_ge *gen2, secp256k1_ge *p1, secp256k1_ge *p2, secp256k1_nonce_function_hardened_ecdsa_adaptor noncefp, void *ndata) { secp256k1_ge r[2]; secp256k1_scalar k = { 0 }; unsigned char sk32[32]; unsigned char gen2_33[33]; unsigned char p1_33[33]; unsigned char p2_33[33]; int ret; secp256k1_eckey_pubkey_serialize33(gen2, gen2_33); secp256k1_eckey_pubkey_serialize33(p1, p1_33); secp256k1_eckey_pubkey_serialize33(p2, p2_33); secp256k1_scalar_get_b32(sk32, sk); ret = secp256k1_dleq_nonce(&k, sk32, gen2_33, p1_33, p2_33, noncefp, ndata); secp256k1_declassify(ctx, &ret, sizeof(ret)); if (!ret) { secp256k1_memclear_explicit(sk32, sizeof(sk32)); return 0; } /* R1 = k*G, R2 = k*Y */ secp256k1_dleq_pair(&ctx->ecmult_gen_ctx, r, &k, gen2); /* We declassify the non-secret values r[0] and r[1] to allow using them as * branch points. */ secp256k1_declassify(ctx, &r[0], sizeof(r[0])); secp256k1_declassify(ctx, &r[1], sizeof(r[1])); /* e = tagged hash(p1, gen2, p2, r[0], r[1]) */ /* s = k + e * sk */ secp256k1_dleq_challenge(e, gen2, &r[0], &r[1], p1, p2); secp256k1_scalar_mul(s, e, sk); secp256k1_scalar_add(s, s, &k); secp256k1_scalar_clear(&k); secp256k1_memclear_explicit(sk32, sizeof(sk32)); return 1; } static int secp256k1_dleq_verify(const secp256k1_scalar *s, const secp256k1_scalar *e, secp256k1_ge *p1, secp256k1_ge *gen2, secp256k1_ge *p2) { secp256k1_scalar e_neg; secp256k1_scalar e_expected; secp256k1_gej gen2j; secp256k1_gej p1j, p2j; secp256k1_gej rj[2]; secp256k1_ge r[2]; secp256k1_gej tmpj; secp256k1_gej_set_ge(&p1j, p1); secp256k1_gej_set_ge(&p2j, p2); secp256k1_scalar_negate(&e_neg, e); /* R1 = s*G - e*P1 */ secp256k1_ecmult(&rj[0], &p1j, &e_neg, s); /* R2 = s*gen2 - e*P2 */ secp256k1_ecmult(&tmpj, &p2j, &e_neg, &secp256k1_scalar_zero); secp256k1_gej_set_ge(&gen2j, gen2); secp256k1_ecmult(&rj[1], &gen2j, s, &secp256k1_scalar_zero); secp256k1_gej_add_var(&rj[1], &rj[1], &tmpj, NULL); if (secp256k1_gej_is_infinity(&rj[0]) || secp256k1_gej_is_infinity(&rj[1])) { return 0; } secp256k1_ge_set_all_gej_var(r, rj, 2); secp256k1_dleq_challenge(&e_expected, gen2, &r[0], &r[1], p1, p2); secp256k1_scalar_add(&e_expected, &e_expected, &e_neg); return secp256k1_scalar_is_zero(&e_expected); } #endif