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https://github.com/muun/recovery.git
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621 lines
23 KiB
C
621 lines
23 KiB
C
/**********************************************************************
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* Copyright (c) 2021 Jonas Nick *
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* Distributed under the MIT software license, see the accompanying *
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* file COPYING or http://www.opensource.org/licenses/mit-license.php.*
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**********************************************************************/
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#ifndef _SECP256K1_MODULE_MUSIG_SESSION_IMPL_
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#define _SECP256K1_MODULE_MUSIG_SESSION_IMPL_
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#include "keyagg.h"
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#include "session.h"
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static const unsigned char secp256k1_musig_secnonce_magic[4] = { 0x22, 0x0e, 0xdc, 0xf1 };
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static void secp256k1_musig_secnonce_save(secp256k1_musig_secnonce *secnonce, secp256k1_scalar *k) {
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memcpy(&secnonce->data[0], secp256k1_musig_secnonce_magic, 4);
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secp256k1_scalar_get_b32(&secnonce->data[4], &k[0]);
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secp256k1_scalar_get_b32(&secnonce->data[36], &k[1]);
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}
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static int secp256k1_musig_secnonce_load(const secp256k1_context* ctx, secp256k1_scalar *k, secp256k1_musig_secnonce *secnonce) {
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ARG_CHECK(secp256k1_memcmp_var(&secnonce->data[0], secp256k1_musig_secnonce_magic, 4) == 0);
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secp256k1_scalar_set_b32(&k[0], &secnonce->data[4], NULL);
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secp256k1_scalar_set_b32(&k[1], &secnonce->data[36], NULL);
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return 1;
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}
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static const unsigned char secp256k1_musig_pubnonce_magic[4] = { 0xf5, 0x7a, 0x3d, 0xa0 };
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/* Requires that none of the provided group elements is infinity. Works for both
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* musig_pubnonce and musig_aggnonce. */
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static void secp256k1_musig_pubnonce_save(secp256k1_musig_pubnonce* nonce, secp256k1_ge* ge) {
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int i;
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memcpy(&nonce->data[0], secp256k1_musig_pubnonce_magic, 4);
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for (i = 0; i < 2; i++) {
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secp256k1_point_save(nonce->data + 4+64*i, &ge[i]);
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}
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}
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/* Works for both musig_pubnonce and musig_aggnonce. Returns 1 unless the nonce
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* wasn't properly initialized */
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static int secp256k1_musig_pubnonce_load(const secp256k1_context* ctx, secp256k1_ge* ge, const secp256k1_musig_pubnonce* nonce) {
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int i;
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ARG_CHECK(secp256k1_memcmp_var(&nonce->data[0], secp256k1_musig_pubnonce_magic, 4) == 0);
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for (i = 0; i < 2; i++) {
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secp256k1_point_load(&ge[i], nonce->data + 4 + 64*i);
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}
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return 1;
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}
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static const unsigned char secp256k1_musig_session_cache_magic[4] = { 0x9d, 0xed, 0xe9, 0x17 };
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/* A session consists of
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* - 4 byte session cache
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* - 1 byte the parity of the aggregate nonce
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* - 32 byte aggregated nonce
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* - 32 byte nonce aggregation coefficient b
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* - 32 byte signature challenge hash e
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* - 32 byte scalar s that is added to the partial signatures of the signers
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*/
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static void secp256k1_musig_session_save(secp256k1_musig_session *session, const secp256k1_musig_session_internal *session_i) {
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unsigned char *ptr = session->data;
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memcpy(ptr, secp256k1_musig_session_cache_magic, 4);
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ptr += 4;
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*ptr = session_i->fin_nonce_parity;
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ptr += 1;
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memmove(ptr, session_i->fin_nonce, 32);
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ptr += 32;
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secp256k1_scalar_get_b32(ptr, &session_i->noncecoef);
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ptr += 32;
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secp256k1_scalar_get_b32(ptr, &session_i->challenge);
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ptr += 32;
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secp256k1_scalar_get_b32(ptr, &session_i->s_part);
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}
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static int secp256k1_musig_session_load(const secp256k1_context* ctx, secp256k1_musig_session_internal *session_i, const secp256k1_musig_session *session) {
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const unsigned char *ptr = session->data;
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ARG_CHECK(secp256k1_memcmp_var(ptr, secp256k1_musig_session_cache_magic, 4) == 0);
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ptr += 4;
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session_i->fin_nonce_parity = *ptr;
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ptr += 1;
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session_i->fin_nonce = ptr;
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ptr += 32;
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secp256k1_scalar_set_b32(&session_i->noncecoef, ptr, NULL);
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ptr += 32;
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secp256k1_scalar_set_b32(&session_i->challenge, ptr, NULL);
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ptr += 32;
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secp256k1_scalar_set_b32(&session_i->s_part, ptr, NULL);
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return 1;
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}
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static const unsigned char secp256k1_musig_partial_sig_magic[4] = { 0xeb, 0xfb, 0x1a, 0x32 };
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static void secp256k1_musig_partial_sig_save(secp256k1_musig_partial_sig* sig, secp256k1_scalar *s) {
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memcpy(&sig->data[0], secp256k1_musig_partial_sig_magic, 4);
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secp256k1_scalar_get_b32(&sig->data[4], s);
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}
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static int secp256k1_musig_partial_sig_load(const secp256k1_context* ctx, secp256k1_scalar *s, const secp256k1_musig_partial_sig* sig) {
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int overflow;
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ARG_CHECK(secp256k1_memcmp_var(&sig->data[0], secp256k1_musig_partial_sig_magic, 4) == 0);
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secp256k1_scalar_set_b32(s, &sig->data[4], &overflow);
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/* Parsed signatures can not overflow */
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VERIFY_CHECK(!overflow);
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return 1;
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}
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int secp256k1_musig_pubnonce_serialize(const secp256k1_context* ctx, unsigned char *out66, const secp256k1_musig_pubnonce* nonce) {
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secp256k1_ge ge[2];
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int i;
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VERIFY_CHECK(ctx != NULL);
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ARG_CHECK(out66 != NULL);
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memset(out66, 0, 66);
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ARG_CHECK(nonce != NULL);
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if (!secp256k1_musig_pubnonce_load(ctx, ge, nonce)) {
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return 0;
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}
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for (i = 0; i < 2; i++) {
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int ret;
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size_t size = 33;
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ret = secp256k1_eckey_pubkey_serialize(&ge[i], &out66[33*i], &size, 1);
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/* serialize must succeed because the point was just loaded */
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VERIFY_CHECK(ret);
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}
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return 1;
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}
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int secp256k1_musig_pubnonce_parse(const secp256k1_context* ctx, secp256k1_musig_pubnonce* nonce, const unsigned char *in66) {
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secp256k1_ge ge[2];
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int i;
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VERIFY_CHECK(ctx != NULL);
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ARG_CHECK(nonce != NULL);
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ARG_CHECK(in66 != NULL);
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for (i = 0; i < 2; i++) {
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if (!secp256k1_eckey_pubkey_parse(&ge[i], &in66[33*i], 33)) {
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return 0;
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}
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if (!secp256k1_ge_is_in_correct_subgroup(&ge[i])) {
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return 0;
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}
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}
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/* The group elements can not be infinity because they were just parsed */
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secp256k1_musig_pubnonce_save(nonce, ge);
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secp256k1_ge_clear(&ge[0]);
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secp256k1_ge_clear(&ge[1]);
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return 1;
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}
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int secp256k1_musig_aggnonce_serialize(const secp256k1_context* ctx, unsigned char *out66, const secp256k1_musig_aggnonce* nonce) {
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return secp256k1_musig_pubnonce_serialize(ctx, out66, (secp256k1_musig_pubnonce*) nonce);
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}
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int secp256k1_musig_aggnonce_parse(const secp256k1_context* ctx, secp256k1_musig_aggnonce* nonce, const unsigned char *in66) {
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return secp256k1_musig_pubnonce_parse(ctx, (secp256k1_musig_pubnonce*) nonce, in66);
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}
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int secp256k1_musig_partial_sig_serialize(const secp256k1_context* ctx, unsigned char *out32, const secp256k1_musig_partial_sig* sig) {
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VERIFY_CHECK(ctx != NULL);
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ARG_CHECK(out32 != NULL);
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ARG_CHECK(sig != NULL);
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memcpy(out32, &sig->data[4], 32);
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return 1;
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}
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int secp256k1_musig_partial_sig_parse(const secp256k1_context* ctx, secp256k1_musig_partial_sig* sig, const unsigned char *in32) {
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secp256k1_scalar tmp;
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int overflow;
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VERIFY_CHECK(ctx != NULL);
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ARG_CHECK(sig != NULL);
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ARG_CHECK(in32 != NULL);
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secp256k1_scalar_set_b32(&tmp, in32, &overflow);
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if (overflow) {
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secp256k1_scalar_clear(&tmp);
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return 0;
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}
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secp256k1_musig_partial_sig_save(sig, &tmp);
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secp256k1_scalar_clear(&tmp);
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return 1;
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}
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/* Normalizes the x-coordinate of the given group element. */
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static int secp256k1_xonly_ge_serialize(unsigned char *output32, secp256k1_ge *ge) {
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if (secp256k1_ge_is_infinity(ge)) {
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return 0;
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}
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secp256k1_fe_normalize_var(&ge->x);
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secp256k1_fe_get_b32(output32, &ge->x);
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return 1;
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}
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static void secp256k1_nonce_function_musig(secp256k1_scalar *k, const unsigned char *session_id, const unsigned char *key32, const unsigned char *msg32, const unsigned char *agg_pk, const unsigned char *extra_input32) {
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secp256k1_sha256 sha;
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unsigned char seed[32];
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unsigned char i;
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enum { n_extra_in = 4 };
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const unsigned char *extra_in[n_extra_in];
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/* TODO: this doesn't have the same sidechannel resistance as the BIP340
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* nonce function because the seckey feeds directly into SHA. */
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secp256k1_sha256_initialize_tagged(&sha, (unsigned char*)"MuSig/nonce", 11);
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secp256k1_sha256_write(&sha, session_id, 32);
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extra_in[0] = key32;
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extra_in[1] = agg_pk;
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extra_in[2] = msg32;
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extra_in[3] = extra_input32;
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for (i = 0; i < n_extra_in; i++) {
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unsigned char marker;
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if (extra_in[i] != NULL) {
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marker = 1;
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secp256k1_sha256_write(&sha, &marker, 1);
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secp256k1_sha256_write(&sha, extra_in[i], 32);
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} else {
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marker = 0;
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secp256k1_sha256_write(&sha, &marker, 1);
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}
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}
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secp256k1_sha256_finalize(&sha, seed);
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for (i = 0; i < 2; i++) {
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unsigned char buf[32];
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secp256k1_sha256_initialize(&sha);
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secp256k1_sha256_write(&sha, seed, 32);
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secp256k1_sha256_write(&sha, &i, 1);
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secp256k1_sha256_finalize(&sha, buf);
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secp256k1_scalar_set_b32(&k[i], buf, NULL);
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}
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}
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int secp256k1_musig_nonce_gen(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, const unsigned char *session_id32, const unsigned char *seckey, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) {
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secp256k1_keyagg_cache_internal cache_i;
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secp256k1_scalar k[2];
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secp256k1_ge nonce_pt[2];
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int i;
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unsigned char pk_ser[32];
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unsigned char *pk_ser_ptr = NULL;
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VERIFY_CHECK(ctx != NULL);
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ARG_CHECK(secnonce != NULL);
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memset(secnonce, 0, sizeof(*secnonce));
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ARG_CHECK(pubnonce != NULL);
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memset(pubnonce, 0, sizeof(*pubnonce));
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ARG_CHECK(session_id32 != NULL);
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ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
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/* Check that the seckey is valid to be able to sign for it later. */
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if (seckey != NULL) {
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secp256k1_scalar sk;
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int ret;
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ret = secp256k1_scalar_set_b32_seckey(&sk, seckey);
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/* The declassified return value indicates the validity of the seckey.
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* If this function is called correctly it is always 1. (Note:
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* declassify was only required for valgrind_ctime_test build with
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* USE_ASM_X86_64=no. */
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secp256k1_declassify(ctx, &ret, sizeof(ret));
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ARG_CHECK(ret);
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secp256k1_scalar_clear(&sk);
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}
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if (keyagg_cache != NULL) {
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int ret;
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if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
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return 0;
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}
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ret = secp256k1_xonly_ge_serialize(pk_ser, &cache_i.pk);
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/* Serialization can not fail because the loaded point can not be infinity. */
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VERIFY_CHECK(ret);
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pk_ser_ptr = pk_ser;
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}
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secp256k1_nonce_function_musig(k, session_id32, seckey, msg32, pk_ser_ptr, extra_input32);
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VERIFY_CHECK(!secp256k1_scalar_is_zero(&k[0]));
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VERIFY_CHECK(!secp256k1_scalar_is_zero(&k[1]));
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secp256k1_musig_secnonce_save(secnonce, k);
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for (i = 0; i < 2; i++) {
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secp256k1_gej nonce_ptj;
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secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &nonce_ptj, &k[i]);
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secp256k1_ge_set_gej(&nonce_pt[i], &nonce_ptj);
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secp256k1_declassify(ctx, &nonce_pt[i], sizeof(nonce_pt));
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secp256k1_scalar_clear(&k[i]);
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}
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/* nonce_pt can't be infinity because k != 0 */
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secp256k1_musig_pubnonce_save(pubnonce, nonce_pt);
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return 1;
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}
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static int secp256k1_musig_sum_nonces(const secp256k1_context* ctx, secp256k1_gej *summed_nonces, const secp256k1_musig_pubnonce * const* pubnonces, size_t n_pubnonces) {
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size_t i;
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int j;
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secp256k1_gej_set_infinity(&summed_nonces[0]);
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secp256k1_gej_set_infinity(&summed_nonces[1]);
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for (i = 0; i < n_pubnonces; i++) {
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secp256k1_ge nonce_pt[2];
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if (!secp256k1_musig_pubnonce_load(ctx, nonce_pt, pubnonces[i])) {
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return 0;
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}
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for (j = 0; j < 2; j++) {
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secp256k1_gej_add_ge_var(&summed_nonces[j], &summed_nonces[j], &nonce_pt[j], NULL);
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}
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}
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return 1;
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}
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int secp256k1_musig_nonce_agg(const secp256k1_context* ctx, secp256k1_musig_aggnonce *aggnonce, const secp256k1_musig_pubnonce * const* pubnonces, size_t n_pubnonces) {
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secp256k1_gej aggnonce_ptj[2];
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secp256k1_ge aggnonce_pt[2];
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int i;
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ARG_CHECK(aggnonce != NULL);
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ARG_CHECK(pubnonces != NULL);
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ARG_CHECK(n_pubnonces > 0);
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if (!secp256k1_musig_sum_nonces(ctx, aggnonce_ptj, pubnonces, n_pubnonces)) {
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return 0;
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}
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for (i = 0; i < 2; i++) {
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if (secp256k1_gej_is_infinity(&aggnonce_ptj[i])) {
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return 0;
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}
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secp256k1_ge_set_gej(&aggnonce_pt[i], &aggnonce_ptj[i]);
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}
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secp256k1_musig_pubnonce_save((secp256k1_musig_pubnonce*)aggnonce, aggnonce_pt);
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return 1;
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}
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/* hash(aggnonce[0], aggnonce[1], agg_pk, msg) */
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static int secp256k1_musig_compute_noncehash(unsigned char *noncehash, secp256k1_ge *aggnonce, const unsigned char *agg_pk32, const unsigned char *msg) {
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unsigned char buf[33];
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secp256k1_sha256 sha;
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int i;
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secp256k1_sha256_initialize(&sha);
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for (i = 0; i < 2; i++) {
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size_t size = sizeof(buf);
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if (!secp256k1_eckey_pubkey_serialize(&aggnonce[i], buf, &size, 1)) {
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return 0;
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}
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secp256k1_sha256_write(&sha, buf, sizeof(buf));
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}
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secp256k1_sha256_write(&sha, agg_pk32, 32);
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secp256k1_sha256_write(&sha, msg, 32);
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secp256k1_sha256_finalize(&sha, noncehash);
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return 1;
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}
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static int secp256k1_musig_nonce_process_internal(const secp256k1_ecmult_context* ecmult_ctx, int *fin_nonce_parity, unsigned char *fin_nonce, secp256k1_scalar *b, secp256k1_gej *aggnoncej, const unsigned char *agg_pk32, const unsigned char *msg) {
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unsigned char noncehash[32];
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secp256k1_ge fin_nonce_pt;
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secp256k1_gej fin_nonce_ptj;
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secp256k1_ge aggnonce[2];
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secp256k1_ge_set_gej(&aggnonce[0], &aggnoncej[0]);
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secp256k1_ge_set_gej(&aggnonce[1], &aggnoncej[1]);
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if (!secp256k1_musig_compute_noncehash(noncehash, aggnonce, agg_pk32, msg)) {
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return 0;
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}
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/* aggnonce = aggnonces[0] + b*aggnonces[1] */
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secp256k1_scalar_set_b32(b, noncehash, NULL);
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secp256k1_ecmult(ecmult_ctx, &fin_nonce_ptj, &aggnoncej[1], b, NULL);
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secp256k1_gej_add_ge(&fin_nonce_ptj, &fin_nonce_ptj, &aggnonce[0]);
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secp256k1_ge_set_gej(&fin_nonce_pt, &fin_nonce_ptj);
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if (!secp256k1_xonly_ge_serialize(fin_nonce, &fin_nonce_pt)) {
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/* unreachable with overwhelming probability */
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return 0;
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}
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secp256k1_fe_normalize_var(&fin_nonce_pt.y);
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*fin_nonce_parity = secp256k1_fe_is_odd(&fin_nonce_pt.y);
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return 1;
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}
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int secp256k1_musig_nonce_process(const secp256k1_context* ctx, secp256k1_musig_session *session, const secp256k1_musig_aggnonce *aggnonce, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_pubkey *adaptor) {
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secp256k1_keyagg_cache_internal cache_i;
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secp256k1_ge aggnonce_pt[2];
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secp256k1_gej aggnonce_ptj[2];
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unsigned char fin_nonce[32];
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secp256k1_musig_session_internal session_i;
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unsigned char agg_pk32[32];
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VERIFY_CHECK(ctx != NULL);
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ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
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ARG_CHECK(session != NULL);
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ARG_CHECK(aggnonce != NULL);
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ARG_CHECK(msg32 != NULL);
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ARG_CHECK(keyagg_cache != NULL);
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if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
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return 0;
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}
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secp256k1_fe_get_b32(agg_pk32, &cache_i.pk.x);
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if (!secp256k1_musig_pubnonce_load(ctx, aggnonce_pt, (secp256k1_musig_pubnonce*)aggnonce)) {
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return 0;
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}
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secp256k1_gej_set_ge(&aggnonce_ptj[0], &aggnonce_pt[0]);
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secp256k1_gej_set_ge(&aggnonce_ptj[1], &aggnonce_pt[1]);
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/* Add public adaptor to nonce */
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if (adaptor != NULL) {
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secp256k1_ge adaptorp;
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if (!secp256k1_pubkey_load(ctx, &adaptorp, adaptor)) {
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return 0;
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}
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secp256k1_gej_add_ge_var(&aggnonce_ptj[0], &aggnonce_ptj[0], &adaptorp, NULL);
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}
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if (!secp256k1_musig_nonce_process_internal(&ctx->ecmult_ctx, &session_i.fin_nonce_parity, fin_nonce, &session_i.noncecoef, aggnonce_ptj, agg_pk32, msg32)) {
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return 0;
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}
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/* Compute messagehash and store in session cache */
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secp256k1_schnorrsig_challenge(&session_i.challenge, fin_nonce, msg32, 32, agg_pk32);
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/* If there is a tweak then set `msghash` times `tweak` to the `s`-part.*/
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secp256k1_scalar_clear(&session_i.s_part);
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if (cache_i.is_tweaked) {
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secp256k1_scalar e_tmp = session_i.challenge;
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if (!secp256k1_eckey_privkey_tweak_mul(&e_tmp, &cache_i.tweak)) {
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/* This mimics the behavior of secp256k1_ec_seckey_tweak_mul regarding
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* tweak being 0. */
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return 0;
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}
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if (secp256k1_fe_is_odd(&cache_i.pk.y)) {
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secp256k1_scalar_negate(&e_tmp, &e_tmp);
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}
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secp256k1_scalar_add(&session_i.s_part, &session_i.s_part, &e_tmp);
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}
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session_i.fin_nonce = fin_nonce;
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secp256k1_musig_session_save(session, &session_i);
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return 1;
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}
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int secp256k1_musig_partial_sign(const secp256k1_context* ctx, secp256k1_musig_partial_sig *partial_sig, secp256k1_musig_secnonce *secnonce, const secp256k1_keypair *keypair, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) {
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secp256k1_scalar sk;
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secp256k1_ge pk;
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secp256k1_scalar k[2];
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secp256k1_scalar mu, s;
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secp256k1_keyagg_cache_internal cache_i;
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secp256k1_musig_session_internal session_i;
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int ret;
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|
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VERIFY_CHECK(ctx != NULL);
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ARG_CHECK(partial_sig != NULL);
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ARG_CHECK(secnonce != NULL);
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ARG_CHECK(keypair != NULL);
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ARG_CHECK(keyagg_cache != NULL);
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ARG_CHECK(session != NULL);
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|
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/* Fails if the magic doesn't match */
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ret = secp256k1_musig_secnonce_load(ctx, k, secnonce);
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/* Set nonce to zero to avoid nonce reuse. This will cause subsequent calls
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* of this function to fail */
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memset(secnonce, 0, sizeof(*secnonce));
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if (!ret) {
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return 0;
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}
|
|
|
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/* Obtain the signer's public key point and determine if the sk is
|
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* negated before signing. That happens if if the signer's pubkey has an odd
|
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* Y coordinate XOR the MuSig-aggregate pubkey has an odd Y coordinate XOR
|
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* (if tweaked) the internal key has an odd Y coordinate.
|
|
*
|
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* This can be seen by looking at the sk key belonging to `agg_pk`.
|
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* Let's define
|
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* P' := mu_0*|P_0| + ... + mu_n*|P_n| where P_i is the i-th public key
|
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* point x_i*G, mu_i is the i-th KeyAgg coefficient and |.| is a function
|
|
* that normalizes a point to an even Y by negating if necessary similar to
|
|
* secp256k1_extrakeys_ge_even_y. Then we have
|
|
* P := |P'| + t*G where t is the tweak.
|
|
* And the aggregate xonly public key is
|
|
* |P| = x*G
|
|
* where x = sum_i(b_i*mu_i*x_i) + b'*t
|
|
* b' = -1 if P != |P|, 1 otherwise
|
|
* b_i = -1 if (P_i != |P_i| XOR P' != |P'| XOR P != |P|) and 1
|
|
* otherwise.
|
|
*/
|
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if (!secp256k1_keypair_load(ctx, &sk, &pk, keypair)) {
|
|
return 0;
|
|
}
|
|
if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
|
|
return 0;
|
|
}
|
|
secp256k1_fe_normalize_var(&pk.y);
|
|
if((secp256k1_fe_is_odd(&pk.y)
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+ secp256k1_fe_is_odd(&cache_i.pk.y)
|
|
+ (cache_i.is_tweaked
|
|
&& cache_i.internal_key_parity))
|
|
% 2 == 1) {
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|
secp256k1_scalar_negate(&sk, &sk);
|
|
}
|
|
|
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/* Multiply KeyAgg coefficient */
|
|
secp256k1_fe_normalize_var(&pk.x);
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|
secp256k1_musig_keyaggcoef(&mu, &cache_i, &pk.x);
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secp256k1_scalar_mul(&sk, &sk, &mu);
|
|
|
|
if (!secp256k1_musig_session_load(ctx, &session_i, session)) {
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|
return 0;
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|
}
|
|
if (session_i.fin_nonce_parity) {
|
|
secp256k1_scalar_negate(&k[0], &k[0]);
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|
secp256k1_scalar_negate(&k[1], &k[1]);
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|
}
|
|
|
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/* Sign */
|
|
secp256k1_scalar_mul(&s, &session_i.challenge, &sk);
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|
secp256k1_scalar_mul(&k[1], &session_i.noncecoef, &k[1]);
|
|
secp256k1_scalar_add(&k[0], &k[0], &k[1]);
|
|
secp256k1_scalar_add(&s, &s, &k[0]);
|
|
secp256k1_musig_partial_sig_save(partial_sig, &s);
|
|
secp256k1_scalar_clear(&sk);
|
|
secp256k1_scalar_clear(&k[0]);
|
|
secp256k1_scalar_clear(&k[1]);
|
|
return 1;
|
|
}
|
|
|
|
int secp256k1_musig_partial_sig_verify(const secp256k1_context* ctx, const secp256k1_musig_partial_sig *partial_sig, const secp256k1_musig_pubnonce *pubnonce, const secp256k1_xonly_pubkey *pubkey, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) {
|
|
secp256k1_keyagg_cache_internal cache_i;
|
|
secp256k1_musig_session_internal session_i;
|
|
secp256k1_scalar mu, e, s;
|
|
secp256k1_gej pkj;
|
|
secp256k1_ge nonce_pt[2];
|
|
secp256k1_gej rj;
|
|
secp256k1_gej tmp;
|
|
secp256k1_ge pkp;
|
|
int i;
|
|
|
|
VERIFY_CHECK(ctx != NULL);
|
|
ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
|
|
ARG_CHECK(partial_sig != NULL);
|
|
ARG_CHECK(pubnonce != NULL);
|
|
ARG_CHECK(pubkey != NULL);
|
|
ARG_CHECK(keyagg_cache != NULL);
|
|
ARG_CHECK(session != NULL);
|
|
|
|
if (!secp256k1_musig_session_load(ctx, &session_i, session)) {
|
|
return 0;
|
|
}
|
|
|
|
/* Compute "effective" nonce rj = aggnonce[0] + b*aggnonce[1] */
|
|
/* TODO: use multiexp */
|
|
for (i = 0; i < 2; i++) {
|
|
if (!secp256k1_musig_pubnonce_load(ctx, nonce_pt, pubnonce)) {
|
|
return 0;
|
|
}
|
|
}
|
|
secp256k1_gej_set_ge(&rj, &nonce_pt[1]);
|
|
secp256k1_ecmult(&ctx->ecmult_ctx, &rj, &rj, &session_i.noncecoef, NULL);
|
|
secp256k1_gej_add_ge_var(&rj, &rj, &nonce_pt[0], NULL);
|
|
|
|
if (!secp256k1_xonly_pubkey_load(ctx, &pkp, pubkey)) {
|
|
return 0;
|
|
}
|
|
if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
|
|
return 0;
|
|
}
|
|
/* Multiplying the messagehash by the KeyAgg coefficient is equivalent
|
|
* to multiplying the signer's public key by the coefficient, except
|
|
* much easier to do. */
|
|
secp256k1_musig_keyaggcoef(&mu, &cache_i, &pkp.x);
|
|
secp256k1_scalar_mul(&e, &session_i.challenge, &mu);
|
|
|
|
/* If the MuSig-aggregate point has an odd Y coordinate, the signers will
|
|
* sign for the negation of their individual xonly public key such that the
|
|
* aggregate signature is valid for the MuSig aggregated xonly key. If the
|
|
* MuSig-aggregate point was tweaked then `e` is negated if the aggregate key
|
|
* has an odd Y coordinate XOR the internal key has an odd Y coordinate.*/
|
|
if (secp256k1_fe_is_odd(&cache_i.pk.y)
|
|
!= (cache_i.is_tweaked
|
|
&& cache_i.internal_key_parity)) {
|
|
secp256k1_scalar_negate(&e, &e);
|
|
}
|
|
|
|
if (!secp256k1_musig_partial_sig_load(ctx, &s, partial_sig)) {
|
|
return 0;
|
|
}
|
|
/* Compute -s*G + e*pkj + rj */
|
|
secp256k1_scalar_negate(&s, &s);
|
|
secp256k1_gej_set_ge(&pkj, &pkp);
|
|
secp256k1_ecmult(&ctx->ecmult_ctx, &tmp, &pkj, &e, &s);
|
|
if (session_i.fin_nonce_parity) {
|
|
secp256k1_gej_neg(&rj, &rj);
|
|
}
|
|
secp256k1_gej_add_var(&tmp, &tmp, &rj, NULL);
|
|
|
|
return secp256k1_gej_is_infinity(&tmp);
|
|
}
|
|
|
|
int secp256k1_musig_partial_sig_agg(const secp256k1_context* ctx, unsigned char *sig64, const secp256k1_musig_session *session, const secp256k1_musig_partial_sig * const* partial_sigs, size_t n_sigs) {
|
|
size_t i;
|
|
secp256k1_musig_session_internal session_i;
|
|
|
|
VERIFY_CHECK(ctx != NULL);
|
|
ARG_CHECK(sig64 != NULL);
|
|
ARG_CHECK(session != NULL);
|
|
ARG_CHECK(partial_sigs != NULL);
|
|
|
|
if (!secp256k1_musig_session_load(ctx, &session_i, session)) {
|
|
return 0;
|
|
}
|
|
for (i = 0; i < n_sigs; i++) {
|
|
secp256k1_scalar term;
|
|
if (!secp256k1_musig_partial_sig_load(ctx, &term, partial_sigs[i])) {
|
|
return 0;
|
|
}
|
|
secp256k1_scalar_add(&session_i.s_part, &session_i.s_part, &term);
|
|
}
|
|
secp256k1_scalar_get_b32(&sig64[32], &session_i.s_part);
|
|
memcpy(&sig64[0], session_i.fin_nonce, 32);
|
|
return 1;
|
|
}
|
|
|
|
#endif
|