| // Copyright 2020 The BoringSSL Authors | 
 | // | 
 | // Licensed under the Apache License, Version 2.0 (the "License"); | 
 | // you may not use this file except in compliance with the License. | 
 | // You may obtain a copy of the License at | 
 | // | 
 | //     https://www.apache.org/licenses/LICENSE-2.0 | 
 | // | 
 | // Unless required by applicable law or agreed to in writing, software | 
 | // distributed under the License is distributed on an "AS IS" BASIS, | 
 | // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | 
 | // See the License for the specific language governing permissions and | 
 | // limitations under the License. | 
 |  | 
 | #include <openssl/trust_token.h> | 
 |  | 
 | #include <openssl/bn.h> | 
 | #include <openssl/bytestring.h> | 
 | #include <openssl/ec.h> | 
 | #include <openssl/err.h> | 
 | #include <openssl/mem.h> | 
 | #include <openssl/nid.h> | 
 | #include <openssl/rand.h> | 
 | #include <openssl/sha.h> | 
 |  | 
 | #include "../ec/internal.h" | 
 | #include "../fipsmodule/bn/internal.h" | 
 | #include "../fipsmodule/ec/internal.h" | 
 |  | 
 | #include "internal.h" | 
 |  | 
 |  | 
 | typedef int (*hash_t_func_t)(const EC_GROUP *group, EC_JACOBIAN *out, | 
 |                              const uint8_t t[TRUST_TOKEN_NONCE_SIZE]); | 
 | typedef int (*hash_s_func_t)(const EC_GROUP *group, EC_JACOBIAN *out, | 
 |                              const EC_AFFINE *t, | 
 |                              const uint8_t s[TRUST_TOKEN_NONCE_SIZE]); | 
 | typedef int (*hash_c_func_t)(const EC_GROUP *group, EC_SCALAR *out, | 
 |                              uint8_t *buf, size_t len); | 
 | typedef int (*hash_to_scalar_func_t)(const EC_GROUP *group, EC_SCALAR *out, | 
 |                                      uint8_t *buf, size_t len); | 
 |  | 
 | typedef struct { | 
 |   const EC_GROUP *group; | 
 |   EC_PRECOMP g_precomp; | 
 |   EC_PRECOMP h_precomp; | 
 |   EC_JACOBIAN h; | 
 |   // hash_t implements the H_t operation in PMBTokens. It returns one on success | 
 |   // and zero on error. | 
 |   hash_t_func_t hash_t; | 
 |   // hash_s implements the H_s operation in PMBTokens. It returns one on success | 
 |   // and zero on error. | 
 |   hash_s_func_t hash_s; | 
 |   // hash_c implements the H_c operation in PMBTokens. It returns one on success | 
 |   // and zero on error. | 
 |   hash_c_func_t hash_c; | 
 |   // hash_to_scalar implements the HashToScalar operation for PMBTokens. It | 
 |   // returns one on success and zero on error. | 
 |   hash_to_scalar_func_t hash_to_scalar; | 
 |   int prefix_point : 1; | 
 | } PMBTOKEN_METHOD; | 
 |  | 
 | static const uint8_t kDefaultAdditionalData[32] = {0}; | 
 |  | 
 | static int pmbtoken_init_method(PMBTOKEN_METHOD *method, const EC_GROUP *group, | 
 |                                 const uint8_t *h_bytes, size_t h_len, | 
 |                                 hash_t_func_t hash_t, hash_s_func_t hash_s, | 
 |                                 hash_c_func_t hash_c, | 
 |                                 hash_to_scalar_func_t hash_to_scalar, | 
 |                                 int prefix_point) { | 
 |   method->group = group; | 
 |   method->hash_t = hash_t; | 
 |   method->hash_s = hash_s; | 
 |   method->hash_c = hash_c; | 
 |   method->hash_to_scalar = hash_to_scalar; | 
 |   method->prefix_point = prefix_point; | 
 |  | 
 |   EC_AFFINE h; | 
 |   if (!ec_point_from_uncompressed(method->group, &h, h_bytes, h_len)) { | 
 |     return 0; | 
 |   } | 
 |   ec_affine_to_jacobian(method->group, &method->h, &h); | 
 |  | 
 |   if (!ec_init_precomp(method->group, &method->g_precomp, | 
 |                        &method->group->generator.raw) || | 
 |       !ec_init_precomp(method->group, &method->h_precomp, &method->h)) { | 
 |     return 0; | 
 |   } | 
 |   return 1; | 
 | } | 
 |  | 
 | static int derive_scalar_from_secret(const PMBTOKEN_METHOD *method, | 
 |                                      EC_SCALAR *out, const uint8_t *secret, | 
 |                                      size_t secret_len, uint8_t scalar_id) { | 
 |   static const uint8_t kKeygenLabel[] = "TrustTokenPMBTokenKeyGen"; | 
 |  | 
 |   int ok = 0; | 
 |   CBB cbb; | 
 |   CBB_zero(&cbb); | 
 |   uint8_t *buf = NULL; | 
 |   size_t len; | 
 |   if (!CBB_init(&cbb, 0) || | 
 |       !CBB_add_bytes(&cbb, kKeygenLabel, sizeof(kKeygenLabel)) || | 
 |       !CBB_add_u8(&cbb, scalar_id) || | 
 |       !CBB_add_bytes(&cbb, secret, secret_len) || | 
 |       !CBB_finish(&cbb, &buf, &len) || | 
 |       !method->hash_to_scalar(method->group, out, buf, len)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_KEYGEN_FAILURE); | 
 |     goto err; | 
 |   } | 
 |  | 
 |   ok = 1; | 
 |  | 
 | err: | 
 |   CBB_cleanup(&cbb); | 
 |   OPENSSL_free(buf); | 
 |   return ok; | 
 | } | 
 |  | 
 | static int point_to_cbb(CBB *out, const EC_GROUP *group, | 
 |                         const EC_AFFINE *point) { | 
 |   size_t len = ec_point_byte_len(group, POINT_CONVERSION_UNCOMPRESSED); | 
 |   if (len == 0) { | 
 |     return 0; | 
 |   } | 
 |   uint8_t *p; | 
 |   return CBB_add_space(out, &p, len) && | 
 |          ec_point_to_bytes(group, point, POINT_CONVERSION_UNCOMPRESSED, p, | 
 |                            len) == len; | 
 | } | 
 |  | 
 | static int cbb_add_prefixed_point(CBB *out, const EC_GROUP *group, | 
 |                                   const EC_AFFINE *point, int prefix_point) { | 
 |   if (prefix_point) { | 
 |     CBB child; | 
 |     if (!CBB_add_u16_length_prefixed(out, &child) || | 
 |         !point_to_cbb(&child, group, point) || !CBB_flush(out)) { | 
 |       return 0; | 
 |     } | 
 |   } else { | 
 |     if (!point_to_cbb(out, group, point) || !CBB_flush(out)) { | 
 |       return 0; | 
 |     } | 
 |   } | 
 |  | 
 |   return 1; | 
 | } | 
 |  | 
 | static int cbs_get_prefixed_point(CBS *cbs, const EC_GROUP *group, | 
 |                                   EC_AFFINE *out, int prefix_point) { | 
 |   CBS child; | 
 |   if (prefix_point) { | 
 |     if (!CBS_get_u16_length_prefixed(cbs, &child)) { | 
 |       return 0; | 
 |     } | 
 |   } else { | 
 |     size_t plen = ec_point_byte_len(group, POINT_CONVERSION_UNCOMPRESSED); | 
 |     if (!CBS_get_bytes(cbs, &child, plen)) { | 
 |       return 0; | 
 |     } | 
 |   } | 
 |  | 
 |   if (!ec_point_from_uncompressed(group, out, CBS_data(&child), | 
 |                                   CBS_len(&child))) { | 
 |     return 0; | 
 |   } | 
 |   return 1; | 
 | } | 
 |  | 
 | static int mul_public_3(const EC_GROUP *group, EC_JACOBIAN *out, | 
 |                         const EC_JACOBIAN *p0, const EC_SCALAR *scalar0, | 
 |                         const EC_JACOBIAN *p1, const EC_SCALAR *scalar1, | 
 |                         const EC_JACOBIAN *p2, const EC_SCALAR *scalar2) { | 
 |   EC_JACOBIAN points[3] = {*p0, *p1, *p2}; | 
 |   EC_SCALAR scalars[3] = {*scalar0, *scalar1, *scalar2}; | 
 |   return ec_point_mul_scalar_public_batch(group, out, /*g_scalar=*/NULL, points, | 
 |                                           scalars, 3); | 
 | } | 
 |  | 
 | static int pmbtoken_compute_keys(const PMBTOKEN_METHOD *method, | 
 |                                  CBB *out_private, CBB *out_public, | 
 |                                  const EC_SCALAR *x0, const EC_SCALAR *y0, | 
 |                                  const EC_SCALAR *x1, const EC_SCALAR *y1, | 
 |                                  const EC_SCALAR *xs, const EC_SCALAR *ys) { | 
 |   const EC_GROUP *group = method->group; | 
 |   EC_JACOBIAN pub[3]; | 
 |   if (!ec_point_mul_scalar_precomp(group, &pub[0], &method->g_precomp, x0, | 
 |                                    &method->h_precomp, y0, NULL, NULL) || | 
 |       !ec_point_mul_scalar_precomp(group, &pub[1], &method->g_precomp, x1, | 
 |                                    &method->h_precomp, y1, NULL, NULL) || | 
 |       !ec_point_mul_scalar_precomp(method->group, &pub[2], &method->g_precomp, | 
 |                                    xs, &method->h_precomp, ys, NULL, NULL)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_KEYGEN_FAILURE); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   const EC_SCALAR *scalars[] = {x0, y0, x1, y1, xs, ys}; | 
 |   size_t scalar_len = BN_num_bytes(EC_GROUP_get0_order(group)); | 
 |   for (size_t i = 0; i < OPENSSL_ARRAY_SIZE(scalars); i++) { | 
 |     uint8_t *buf; | 
 |     if (!CBB_add_space(out_private, &buf, scalar_len)) { | 
 |       OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_BUFFER_TOO_SMALL); | 
 |       return 0; | 
 |     } | 
 |     ec_scalar_to_bytes(group, buf, &scalar_len, scalars[i]); | 
 |   } | 
 |  | 
 |   EC_AFFINE pub_affine[3]; | 
 |   if (!ec_jacobian_to_affine_batch(group, pub_affine, pub, 3)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   if (!cbb_add_prefixed_point(out_public, group, &pub_affine[0], | 
 |                               method->prefix_point) || | 
 |       !cbb_add_prefixed_point(out_public, group, &pub_affine[1], | 
 |                               method->prefix_point) || | 
 |       !cbb_add_prefixed_point(out_public, group, &pub_affine[2], | 
 |                               method->prefix_point)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_BUFFER_TOO_SMALL); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return 1; | 
 | } | 
 |  | 
 | static int pmbtoken_generate_key(const PMBTOKEN_METHOD *method, | 
 |                                  CBB *out_private, CBB *out_public) { | 
 |   EC_SCALAR x0, y0, x1, y1, xs, ys; | 
 |   if (!ec_random_nonzero_scalar(method->group, &x0, kDefaultAdditionalData) || | 
 |       !ec_random_nonzero_scalar(method->group, &y0, kDefaultAdditionalData) || | 
 |       !ec_random_nonzero_scalar(method->group, &x1, kDefaultAdditionalData) || | 
 |       !ec_random_nonzero_scalar(method->group, &y1, kDefaultAdditionalData) || | 
 |       !ec_random_nonzero_scalar(method->group, &xs, kDefaultAdditionalData) || | 
 |       !ec_random_nonzero_scalar(method->group, &ys, kDefaultAdditionalData)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_KEYGEN_FAILURE); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return pmbtoken_compute_keys(method, out_private, out_public, &x0, &y0, &x1, | 
 |                                &y1, &xs, &ys); | 
 | } | 
 |  | 
 | static int pmbtoken_derive_key_from_secret(const PMBTOKEN_METHOD *method, | 
 |                                            CBB *out_private, CBB *out_public, | 
 |                                            const uint8_t *secret, | 
 |                                            size_t secret_len) { | 
 |   EC_SCALAR x0, y0, x1, y1, xs, ys; | 
 |   if (!derive_scalar_from_secret(method, &x0, secret, secret_len, 0) || | 
 |       !derive_scalar_from_secret(method, &y0, secret, secret_len, 1) || | 
 |       !derive_scalar_from_secret(method, &x1, secret, secret_len, 2) || | 
 |       !derive_scalar_from_secret(method, &y1, secret, secret_len, 3) || | 
 |       !derive_scalar_from_secret(method, &xs, secret, secret_len, 4) || | 
 |       !derive_scalar_from_secret(method, &ys, secret, secret_len, 5)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_KEYGEN_FAILURE); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return pmbtoken_compute_keys(method, out_private, out_public, &x0, &y0, &x1, | 
 |                                &y1, &xs, &ys); | 
 | } | 
 |  | 
 | static int pmbtoken_client_key_from_bytes(const PMBTOKEN_METHOD *method, | 
 |                                           TRUST_TOKEN_CLIENT_KEY *key, | 
 |                                           const uint8_t *in, size_t len) { | 
 |   CBS cbs; | 
 |   CBS_init(&cbs, in, len); | 
 |   if (!cbs_get_prefixed_point(&cbs, method->group, &key->pub0, | 
 |                               method->prefix_point) || | 
 |       !cbs_get_prefixed_point(&cbs, method->group, &key->pub1, | 
 |                               method->prefix_point) || | 
 |       !cbs_get_prefixed_point(&cbs, method->group, &key->pubs, | 
 |                               method->prefix_point) || | 
 |       CBS_len(&cbs) != 0) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_DECODE_FAILURE); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return 1; | 
 | } | 
 |  | 
 | static int pmbtoken_issuer_key_from_bytes(const PMBTOKEN_METHOD *method, | 
 |                                           TRUST_TOKEN_ISSUER_KEY *key, | 
 |                                           const uint8_t *in, size_t len) { | 
 |   const EC_GROUP *group = method->group; | 
 |   CBS cbs, tmp; | 
 |   CBS_init(&cbs, in, len); | 
 |   size_t scalar_len = BN_num_bytes(EC_GROUP_get0_order(group)); | 
 |   EC_SCALAR *scalars[] = {&key->x0, &key->y0, &key->x1, | 
 |                           &key->y1, &key->xs, &key->ys}; | 
 |   for (size_t i = 0; i < OPENSSL_ARRAY_SIZE(scalars); i++) { | 
 |     if (!CBS_get_bytes(&cbs, &tmp, scalar_len) || | 
 |         !ec_scalar_from_bytes(group, scalars[i], CBS_data(&tmp), | 
 |                               CBS_len(&tmp))) { | 
 |       OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_DECODE_FAILURE); | 
 |       return 0; | 
 |     } | 
 |   } | 
 |  | 
 |   // Recompute the public key. | 
 |   EC_JACOBIAN pub[3]; | 
 |   EC_AFFINE pub_affine[3]; | 
 |   if (!ec_point_mul_scalar_precomp(group, &pub[0], &method->g_precomp, &key->x0, | 
 |                                    &method->h_precomp, &key->y0, NULL, NULL) || | 
 |       !ec_init_precomp(group, &key->pub0_precomp, &pub[0]) || | 
 |       !ec_point_mul_scalar_precomp(group, &pub[1], &method->g_precomp, &key->x1, | 
 |                                    &method->h_precomp, &key->y1, NULL, NULL) || | 
 |       !ec_init_precomp(group, &key->pub1_precomp, &pub[1]) || | 
 |       !ec_point_mul_scalar_precomp(group, &pub[2], &method->g_precomp, &key->xs, | 
 |                                    &method->h_precomp, &key->ys, NULL, NULL) || | 
 |       !ec_init_precomp(group, &key->pubs_precomp, &pub[2]) || | 
 |       !ec_jacobian_to_affine_batch(group, pub_affine, pub, 3)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   key->pub0 = pub_affine[0]; | 
 |   key->pub1 = pub_affine[1]; | 
 |   key->pubs = pub_affine[2]; | 
 |   return 1; | 
 | } | 
 |  | 
 | static STACK_OF(TRUST_TOKEN_PRETOKEN) *pmbtoken_blind( | 
 |     const PMBTOKEN_METHOD *method, CBB *cbb, size_t count, int include_message, | 
 |     const uint8_t *msg, size_t msg_len) { | 
 |   SHA512_CTX hash_ctx; | 
 |  | 
 |   const EC_GROUP *group = method->group; | 
 |   STACK_OF(TRUST_TOKEN_PRETOKEN) *pretokens = | 
 |       sk_TRUST_TOKEN_PRETOKEN_new_null(); | 
 |   if (pretokens == NULL) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   for (size_t i = 0; i < count; i++) { | 
 |     // Insert |pretoken| into |pretokens| early to simplify error-handling. | 
 |     TRUST_TOKEN_PRETOKEN *pretoken = reinterpret_cast<TRUST_TOKEN_PRETOKEN *>( | 
 |         OPENSSL_malloc(sizeof(TRUST_TOKEN_PRETOKEN))); | 
 |     if (pretoken == NULL || | 
 |         !sk_TRUST_TOKEN_PRETOKEN_push(pretokens, pretoken)) { | 
 |       TRUST_TOKEN_PRETOKEN_free(pretoken); | 
 |       goto err; | 
 |     } | 
 |  | 
 |     RAND_bytes(pretoken->salt, sizeof(pretoken->salt)); | 
 |     if (include_message) { | 
 |       assert(SHA512_DIGEST_LENGTH == TRUST_TOKEN_NONCE_SIZE); | 
 |       SHA512_Init(&hash_ctx); | 
 |       SHA512_Update(&hash_ctx, pretoken->salt, sizeof(pretoken->salt)); | 
 |       SHA512_Update(&hash_ctx, msg, msg_len); | 
 |       SHA512_Final(pretoken->t, &hash_ctx); | 
 |     } else { | 
 |       OPENSSL_memcpy(pretoken->t, pretoken->salt, TRUST_TOKEN_NONCE_SIZE); | 
 |     } | 
 |  | 
 |     // We sample |pretoken->r| in Montgomery form to simplify inverting. | 
 |     if (!ec_random_nonzero_scalar(group, &pretoken->r, | 
 |                                   kDefaultAdditionalData)) { | 
 |       goto err; | 
 |     } | 
 |  | 
 |     EC_SCALAR rinv; | 
 |     ec_scalar_inv0_montgomery(group, &rinv, &pretoken->r); | 
 |     // Convert both out of Montgomery form. | 
 |     ec_scalar_from_montgomery(group, &pretoken->r, &pretoken->r); | 
 |     ec_scalar_from_montgomery(group, &rinv, &rinv); | 
 |  | 
 |     EC_JACOBIAN T, Tp; | 
 |     if (!method->hash_t(group, &T, pretoken->t) || | 
 |         !ec_point_mul_scalar(group, &Tp, &T, &rinv) || | 
 |         !ec_jacobian_to_affine(group, &pretoken->Tp, &Tp)) { | 
 |       goto err; | 
 |     } | 
 |  | 
 |     if (!cbb_add_prefixed_point(cbb, group, &pretoken->Tp, | 
 |                                 method->prefix_point)) { | 
 |       goto err; | 
 |     } | 
 |   } | 
 |  | 
 |   return pretokens; | 
 |  | 
 | err: | 
 |   sk_TRUST_TOKEN_PRETOKEN_pop_free(pretokens, TRUST_TOKEN_PRETOKEN_free); | 
 |   return NULL; | 
 | } | 
 |  | 
 | static int scalar_to_cbb(CBB *out, const EC_GROUP *group, | 
 |                          const EC_SCALAR *scalar) { | 
 |   uint8_t *buf; | 
 |   size_t scalar_len = BN_num_bytes(EC_GROUP_get0_order(group)); | 
 |   if (!CBB_add_space(out, &buf, scalar_len)) { | 
 |     return 0; | 
 |   } | 
 |   ec_scalar_to_bytes(group, buf, &scalar_len, scalar); | 
 |   return 1; | 
 | } | 
 |  | 
 | static int scalar_from_cbs(CBS *cbs, const EC_GROUP *group, EC_SCALAR *out) { | 
 |   size_t scalar_len = BN_num_bytes(EC_GROUP_get0_order(group)); | 
 |   CBS tmp; | 
 |   if (!CBS_get_bytes(cbs, &tmp, scalar_len)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_DECODE_FAILURE); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   ec_scalar_from_bytes(group, out, CBS_data(&tmp), CBS_len(&tmp)); | 
 |   return 1; | 
 | } | 
 |  | 
 | static int hash_c_dleq(const PMBTOKEN_METHOD *method, EC_SCALAR *out, | 
 |                        const EC_AFFINE *X, const EC_AFFINE *T, | 
 |                        const EC_AFFINE *S, const EC_AFFINE *W, | 
 |                        const EC_AFFINE *K0, const EC_AFFINE *K1) { | 
 |   static const uint8_t kDLEQ2Label[] = "DLEQ2"; | 
 |  | 
 |   int ok = 0; | 
 |   CBB cbb; | 
 |   CBB_zero(&cbb); | 
 |   uint8_t *buf = NULL; | 
 |   size_t len; | 
 |   if (!CBB_init(&cbb, 0) || | 
 |       !CBB_add_bytes(&cbb, kDLEQ2Label, sizeof(kDLEQ2Label)) || | 
 |       !point_to_cbb(&cbb, method->group, X) || | 
 |       !point_to_cbb(&cbb, method->group, T) || | 
 |       !point_to_cbb(&cbb, method->group, S) || | 
 |       !point_to_cbb(&cbb, method->group, W) || | 
 |       !point_to_cbb(&cbb, method->group, K0) || | 
 |       !point_to_cbb(&cbb, method->group, K1) || !CBB_finish(&cbb, &buf, &len) || | 
 |       !method->hash_c(method->group, out, buf, len)) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   ok = 1; | 
 |  | 
 | err: | 
 |   CBB_cleanup(&cbb); | 
 |   OPENSSL_free(buf); | 
 |   return ok; | 
 | } | 
 |  | 
 | static int hash_c_dleqor(const PMBTOKEN_METHOD *method, EC_SCALAR *out, | 
 |                          const EC_AFFINE *X0, const EC_AFFINE *X1, | 
 |                          const EC_AFFINE *T, const EC_AFFINE *S, | 
 |                          const EC_AFFINE *W, const EC_AFFINE *K00, | 
 |                          const EC_AFFINE *K01, const EC_AFFINE *K10, | 
 |                          const EC_AFFINE *K11) { | 
 |   static const uint8_t kDLEQOR2Label[] = "DLEQOR2"; | 
 |  | 
 |   int ok = 0; | 
 |   CBB cbb; | 
 |   CBB_zero(&cbb); | 
 |   uint8_t *buf = NULL; | 
 |   size_t len; | 
 |   if (!CBB_init(&cbb, 0) || | 
 |       !CBB_add_bytes(&cbb, kDLEQOR2Label, sizeof(kDLEQOR2Label)) || | 
 |       !point_to_cbb(&cbb, method->group, X0) || | 
 |       !point_to_cbb(&cbb, method->group, X1) || | 
 |       !point_to_cbb(&cbb, method->group, T) || | 
 |       !point_to_cbb(&cbb, method->group, S) || | 
 |       !point_to_cbb(&cbb, method->group, W) || | 
 |       !point_to_cbb(&cbb, method->group, K00) || | 
 |       !point_to_cbb(&cbb, method->group, K01) || | 
 |       !point_to_cbb(&cbb, method->group, K10) || | 
 |       !point_to_cbb(&cbb, method->group, K11) || | 
 |       !CBB_finish(&cbb, &buf, &len) || | 
 |       !method->hash_c(method->group, out, buf, len)) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   ok = 1; | 
 |  | 
 | err: | 
 |   CBB_cleanup(&cbb); | 
 |   OPENSSL_free(buf); | 
 |   return ok; | 
 | } | 
 |  | 
 | static int hash_c_batch(const PMBTOKEN_METHOD *method, EC_SCALAR *out, | 
 |                         const CBB *points, size_t index) { | 
 |   static const uint8_t kDLEQBatchLabel[] = "DLEQ BATCH"; | 
 |   if (index > 0xffff) { | 
 |     // The protocol supports only two-byte batches. | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, ERR_R_OVERFLOW); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   int ok = 0; | 
 |   CBB cbb; | 
 |   CBB_zero(&cbb); | 
 |   uint8_t *buf = NULL; | 
 |   size_t len; | 
 |   if (!CBB_init(&cbb, 0) || | 
 |       !CBB_add_bytes(&cbb, kDLEQBatchLabel, sizeof(kDLEQBatchLabel)) || | 
 |       !CBB_add_bytes(&cbb, CBB_data(points), CBB_len(points)) || | 
 |       !CBB_add_u16(&cbb, (uint16_t)index) || !CBB_finish(&cbb, &buf, &len) || | 
 |       !method->hash_c(method->group, out, buf, len)) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   ok = 1; | 
 |  | 
 | err: | 
 |   CBB_cleanup(&cbb); | 
 |   OPENSSL_free(buf); | 
 |   return ok; | 
 | } | 
 |  | 
 | // The DLEQ2 and DLEQOR2 constructions are described in appendix B of | 
 | // https://eprint.iacr.org/2020/072/20200324:214215. DLEQ2 is an instance of | 
 | // DLEQOR2 with only one value (n=1). | 
 |  | 
 | static int dleq_generate(const PMBTOKEN_METHOD *method, CBB *cbb, | 
 |                          const TRUST_TOKEN_ISSUER_KEY *priv, | 
 |                          const EC_JACOBIAN *T, const EC_JACOBIAN *S, | 
 |                          const EC_JACOBIAN *W, const EC_JACOBIAN *Ws, | 
 |                          uint8_t private_metadata) { | 
 |   const EC_GROUP *group = method->group; | 
 |  | 
 |   // We generate a DLEQ proof for the validity token and a DLEQOR2 proof for the | 
 |   // private metadata token. To allow amortizing Jacobian-to-affine conversions, | 
 |   // we compute Ki for both proofs first. | 
 |   enum { | 
 |     idx_T, | 
 |     idx_S, | 
 |     idx_W, | 
 |     idx_Ws, | 
 |     idx_Ks0, | 
 |     idx_Ks1, | 
 |     idx_Kb0, | 
 |     idx_Kb1, | 
 |     idx_Ko0, | 
 |     idx_Ko1, | 
 |     num_idx, | 
 |   }; | 
 |   EC_JACOBIAN jacobians[num_idx]; | 
 |  | 
 |   // Setup the DLEQ proof. | 
 |   EC_SCALAR ks0, ks1; | 
 |   if (  // ks0, ks1 <- Zp | 
 |       !ec_random_nonzero_scalar(group, &ks0, kDefaultAdditionalData) || | 
 |       !ec_random_nonzero_scalar(group, &ks1, kDefaultAdditionalData) || | 
 |       // Ks = ks0*(G;T) + ks1*(H;S) | 
 |       !ec_point_mul_scalar_precomp(group, &jacobians[idx_Ks0], | 
 |                                    &method->g_precomp, &ks0, &method->h_precomp, | 
 |                                    &ks1, NULL, NULL) || | 
 |       !ec_point_mul_scalar_batch(group, &jacobians[idx_Ks1], T, &ks0, S, &ks1, | 
 |                                  NULL, NULL)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // Setup the DLEQOR proof. First, select values of xb, yb (keys corresponding | 
 |   // to the private metadata value) and pubo (public key corresponding to the | 
 |   // other value) in constant time. | 
 |   BN_ULONG mask = ((BN_ULONG)0) - (private_metadata & 1); | 
 |   EC_PRECOMP pubo_precomp; | 
 |   EC_SCALAR xb, yb; | 
 |   ec_scalar_select(group, &xb, mask, &priv->x1, &priv->x0); | 
 |   ec_scalar_select(group, &yb, mask, &priv->y1, &priv->y0); | 
 |   ec_precomp_select(group, &pubo_precomp, mask, &priv->pub0_precomp, | 
 |                     &priv->pub1_precomp); | 
 |  | 
 |   EC_SCALAR k0, k1, minus_co, uo, vo; | 
 |   if (  // k0, k1 <- Zp | 
 |       !ec_random_nonzero_scalar(group, &k0, kDefaultAdditionalData) || | 
 |       !ec_random_nonzero_scalar(group, &k1, kDefaultAdditionalData) || | 
 |       // Kb = k0*(G;T) + k1*(H;S) | 
 |       !ec_point_mul_scalar_precomp(group, &jacobians[idx_Kb0], | 
 |                                    &method->g_precomp, &k0, &method->h_precomp, | 
 |                                    &k1, NULL, NULL) || | 
 |       !ec_point_mul_scalar_batch(group, &jacobians[idx_Kb1], T, &k0, S, &k1, | 
 |                                  NULL, NULL) || | 
 |       // co, uo, vo <- Zp | 
 |       !ec_random_nonzero_scalar(group, &minus_co, kDefaultAdditionalData) || | 
 |       !ec_random_nonzero_scalar(group, &uo, kDefaultAdditionalData) || | 
 |       !ec_random_nonzero_scalar(group, &vo, kDefaultAdditionalData) || | 
 |       // Ko = uo*(G;T) + vo*(H;S) - co*(pubo;W) | 
 |       !ec_point_mul_scalar_precomp(group, &jacobians[idx_Ko0], | 
 |                                    &method->g_precomp, &uo, &method->h_precomp, | 
 |                                    &vo, &pubo_precomp, &minus_co) || | 
 |       !ec_point_mul_scalar_batch(group, &jacobians[idx_Ko1], T, &uo, S, &vo, W, | 
 |                                  &minus_co)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   EC_AFFINE affines[num_idx]; | 
 |   jacobians[idx_T] = *T; | 
 |   jacobians[idx_S] = *S; | 
 |   jacobians[idx_W] = *W; | 
 |   jacobians[idx_Ws] = *Ws; | 
 |   if (!ec_jacobian_to_affine_batch(group, affines, jacobians, num_idx)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // Select the K corresponding to K0 and K1 in constant-time. | 
 |   EC_AFFINE K00, K01, K10, K11; | 
 |   ec_affine_select(group, &K00, mask, &affines[idx_Ko0], &affines[idx_Kb0]); | 
 |   ec_affine_select(group, &K01, mask, &affines[idx_Ko1], &affines[idx_Kb1]); | 
 |   ec_affine_select(group, &K10, mask, &affines[idx_Kb0], &affines[idx_Ko0]); | 
 |   ec_affine_select(group, &K11, mask, &affines[idx_Kb1], &affines[idx_Ko1]); | 
 |  | 
 |   // Compute c = Hc(...) for the two proofs. | 
 |   EC_SCALAR cs, c; | 
 |   if (!hash_c_dleq(method, &cs, &priv->pubs, &affines[idx_T], &affines[idx_S], | 
 |                    &affines[idx_Ws], &affines[idx_Ks0], &affines[idx_Ks1]) || | 
 |       !hash_c_dleqor(method, &c, &priv->pub0, &priv->pub1, &affines[idx_T], | 
 |                      &affines[idx_S], &affines[idx_W], &K00, &K01, &K10, | 
 |                      &K11)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // Compute cb, ub, and ub for the two proofs. In each of these products, only | 
 |   // one operand is in Montgomery form, so the product does not need to be | 
 |   // converted. | 
 |  | 
 |   EC_SCALAR cs_mont; | 
 |   ec_scalar_to_montgomery(group, &cs_mont, &cs); | 
 |  | 
 |   // us = ks0 + cs*xs | 
 |   EC_SCALAR us, vs; | 
 |   ec_scalar_mul_montgomery(group, &us, &priv->xs, &cs_mont); | 
 |   ec_scalar_add(group, &us, &ks0, &us); | 
 |  | 
 |   // vs = ks1 + cs*ys | 
 |   ec_scalar_mul_montgomery(group, &vs, &priv->ys, &cs_mont); | 
 |   ec_scalar_add(group, &vs, &ks1, &vs); | 
 |  | 
 |   // Store DLEQ2 proof in transcript. | 
 |   if (!scalar_to_cbb(cbb, group, &cs) || !scalar_to_cbb(cbb, group, &us) || | 
 |       !scalar_to_cbb(cbb, group, &vs)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // cb = c - co | 
 |   EC_SCALAR cb, ub, vb; | 
 |   ec_scalar_add(group, &cb, &c, &minus_co); | 
 |  | 
 |   EC_SCALAR cb_mont; | 
 |   ec_scalar_to_montgomery(group, &cb_mont, &cb); | 
 |  | 
 |   // ub = k0 + cb*xb | 
 |   ec_scalar_mul_montgomery(group, &ub, &xb, &cb_mont); | 
 |   ec_scalar_add(group, &ub, &k0, &ub); | 
 |  | 
 |   // vb = k1 + cb*yb | 
 |   ec_scalar_mul_montgomery(group, &vb, &yb, &cb_mont); | 
 |   ec_scalar_add(group, &vb, &k1, &vb); | 
 |  | 
 |   // Select c, u, v in constant-time. | 
 |   EC_SCALAR co, c0, c1, u0, u1, v0, v1; | 
 |   ec_scalar_neg(group, &co, &minus_co); | 
 |   ec_scalar_select(group, &c0, mask, &co, &cb); | 
 |   ec_scalar_select(group, &u0, mask, &uo, &ub); | 
 |   ec_scalar_select(group, &v0, mask, &vo, &vb); | 
 |   ec_scalar_select(group, &c1, mask, &cb, &co); | 
 |   ec_scalar_select(group, &u1, mask, &ub, &uo); | 
 |   ec_scalar_select(group, &v1, mask, &vb, &vo); | 
 |  | 
 |   // Store DLEQOR2 proof in transcript. | 
 |   if (!scalar_to_cbb(cbb, group, &c0) || !scalar_to_cbb(cbb, group, &c1) || | 
 |       !scalar_to_cbb(cbb, group, &u0) || !scalar_to_cbb(cbb, group, &u1) || | 
 |       !scalar_to_cbb(cbb, group, &v0) || !scalar_to_cbb(cbb, group, &v1)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return 1; | 
 | } | 
 |  | 
 | static int dleq_verify(const PMBTOKEN_METHOD *method, CBS *cbs, | 
 |                        const TRUST_TOKEN_CLIENT_KEY *pub, const EC_JACOBIAN *T, | 
 |                        const EC_JACOBIAN *S, const EC_JACOBIAN *W, | 
 |                        const EC_JACOBIAN *Ws) { | 
 |   const EC_GROUP *group = method->group; | 
 |   const EC_JACOBIAN *g = &group->generator.raw; | 
 |  | 
 |   // We verify a DLEQ proof for the validity token and a DLEQOR2 proof for the | 
 |   // private metadata token. To allow amortizing Jacobian-to-affine conversions, | 
 |   // we compute Ki for both proofs first. Additionally, all inputs to this | 
 |   // function are public, so we can use the faster variable-time | 
 |   // multiplications. | 
 |   enum { | 
 |     idx_T, | 
 |     idx_S, | 
 |     idx_W, | 
 |     idx_Ws, | 
 |     idx_Ks0, | 
 |     idx_Ks1, | 
 |     idx_K00, | 
 |     idx_K01, | 
 |     idx_K10, | 
 |     idx_K11, | 
 |     num_idx, | 
 |   }; | 
 |   EC_JACOBIAN jacobians[num_idx]; | 
 |  | 
 |   // Decode the DLEQ proof. | 
 |   EC_SCALAR cs, us, vs; | 
 |   if (!scalar_from_cbs(cbs, group, &cs) || !scalar_from_cbs(cbs, group, &us) || | 
 |       !scalar_from_cbs(cbs, group, &vs)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_DECODE_FAILURE); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // Ks = us*(G;T) + vs*(H;S) - cs*(pubs;Ws) | 
 |   EC_JACOBIAN pubs; | 
 |   ec_affine_to_jacobian(group, &pubs, &pub->pubs); | 
 |   EC_SCALAR minus_cs; | 
 |   ec_scalar_neg(group, &minus_cs, &cs); | 
 |   if (!mul_public_3(group, &jacobians[idx_Ks0], g, &us, &method->h, &vs, &pubs, | 
 |                     &minus_cs) || | 
 |       !mul_public_3(group, &jacobians[idx_Ks1], T, &us, S, &vs, Ws, | 
 |                     &minus_cs)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // Decode the DLEQOR proof. | 
 |   EC_SCALAR c0, c1, u0, u1, v0, v1; | 
 |   if (!scalar_from_cbs(cbs, group, &c0) || !scalar_from_cbs(cbs, group, &c1) || | 
 |       !scalar_from_cbs(cbs, group, &u0) || !scalar_from_cbs(cbs, group, &u1) || | 
 |       !scalar_from_cbs(cbs, group, &v0) || !scalar_from_cbs(cbs, group, &v1)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_DECODE_FAILURE); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   EC_JACOBIAN pub0, pub1; | 
 |   ec_affine_to_jacobian(group, &pub0, &pub->pub0); | 
 |   ec_affine_to_jacobian(group, &pub1, &pub->pub1); | 
 |   EC_SCALAR minus_c0, minus_c1; | 
 |   ec_scalar_neg(group, &minus_c0, &c0); | 
 |   ec_scalar_neg(group, &minus_c1, &c1); | 
 |   if (  // K0 = u0*(G;T) + v0*(H;S) - c0*(pub0;W) | 
 |       !mul_public_3(group, &jacobians[idx_K00], g, &u0, &method->h, &v0, &pub0, | 
 |                     &minus_c0) || | 
 |       !mul_public_3(group, &jacobians[idx_K01], T, &u0, S, &v0, W, &minus_c0) || | 
 |       // K1 = u1*(G;T) + v1*(H;S) - c1*(pub1;W) | 
 |       !mul_public_3(group, &jacobians[idx_K10], g, &u1, &method->h, &v1, &pub1, | 
 |                     &minus_c1) || | 
 |       !mul_public_3(group, &jacobians[idx_K11], T, &u1, S, &v1, W, &minus_c1)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   EC_AFFINE affines[num_idx]; | 
 |   jacobians[idx_T] = *T; | 
 |   jacobians[idx_S] = *S; | 
 |   jacobians[idx_W] = *W; | 
 |   jacobians[idx_Ws] = *Ws; | 
 |   if (!ec_jacobian_to_affine_batch(group, affines, jacobians, num_idx)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // Check the DLEQ proof. | 
 |   EC_SCALAR calculated; | 
 |   if (!hash_c_dleq(method, &calculated, &pub->pubs, &affines[idx_T], | 
 |                    &affines[idx_S], &affines[idx_Ws], &affines[idx_Ks0], | 
 |                    &affines[idx_Ks1])) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // cs == calculated | 
 |   if (!ec_scalar_equal_vartime(group, &cs, &calculated)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_INVALID_PROOF); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // Check the DLEQOR proof. | 
 |   if (!hash_c_dleqor(method, &calculated, &pub->pub0, &pub->pub1, | 
 |                      &affines[idx_T], &affines[idx_S], &affines[idx_W], | 
 |                      &affines[idx_K00], &affines[idx_K01], &affines[idx_K10], | 
 |                      &affines[idx_K11])) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // c0 + c1 == calculated | 
 |   EC_SCALAR c; | 
 |   ec_scalar_add(group, &c, &c0, &c1); | 
 |   if (!ec_scalar_equal_vartime(group, &c, &calculated)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_INVALID_PROOF); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return 1; | 
 | } | 
 |  | 
 | static int pmbtoken_sign(const PMBTOKEN_METHOD *method, | 
 |                          const TRUST_TOKEN_ISSUER_KEY *key, CBB *cbb, CBS *cbs, | 
 |                          size_t num_requested, size_t num_to_issue, | 
 |                          uint8_t private_metadata) { | 
 |   const EC_GROUP *group = method->group; | 
 |   if (num_requested < num_to_issue) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, ERR_R_INTERNAL_ERROR); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   int ret = 0; | 
 |   EC_JACOBIAN *Tps = reinterpret_cast<EC_JACOBIAN *>( | 
 |       OPENSSL_calloc(num_to_issue, sizeof(EC_JACOBIAN))); | 
 |   EC_JACOBIAN *Sps = reinterpret_cast<EC_JACOBIAN *>( | 
 |       OPENSSL_calloc(num_to_issue, sizeof(EC_JACOBIAN))); | 
 |   EC_JACOBIAN *Wps = reinterpret_cast<EC_JACOBIAN *>( | 
 |       OPENSSL_calloc(num_to_issue, sizeof(EC_JACOBIAN))); | 
 |   EC_JACOBIAN *Wsps = reinterpret_cast<EC_JACOBIAN *>( | 
 |       OPENSSL_calloc(num_to_issue, sizeof(EC_JACOBIAN))); | 
 |   EC_SCALAR *es = reinterpret_cast<EC_SCALAR *>( | 
 |       OPENSSL_calloc(num_to_issue, sizeof(EC_SCALAR))); | 
 |   CBB batch_cbb; | 
 |   CBB_zero(&batch_cbb); | 
 |  | 
 |   { | 
 |     if (!Tps || !Sps || !Wps || !Wsps || !es || !CBB_init(&batch_cbb, 0) || | 
 |         !point_to_cbb(&batch_cbb, method->group, &key->pubs) || | 
 |         !point_to_cbb(&batch_cbb, method->group, &key->pub0) || | 
 |         !point_to_cbb(&batch_cbb, method->group, &key->pub1)) { | 
 |       goto err; | 
 |     } | 
 |  | 
 |     for (size_t i = 0; i < num_to_issue; i++) { | 
 |       EC_AFFINE Tp_affine; | 
 |       EC_JACOBIAN Tp; | 
 |       if (!cbs_get_prefixed_point(cbs, group, &Tp_affine, | 
 |                                   method->prefix_point)) { | 
 |         OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_DECODE_FAILURE); | 
 |         goto err; | 
 |       } | 
 |       ec_affine_to_jacobian(group, &Tp, &Tp_affine); | 
 |  | 
 |       EC_SCALAR xb, yb; | 
 |       BN_ULONG mask = ((BN_ULONG)0) - (private_metadata & 1); | 
 |       ec_scalar_select(group, &xb, mask, &key->x1, &key->x0); | 
 |       ec_scalar_select(group, &yb, mask, &key->y1, &key->y0); | 
 |  | 
 |       uint8_t s[TRUST_TOKEN_NONCE_SIZE]; | 
 |       RAND_bytes(s, TRUST_TOKEN_NONCE_SIZE); | 
 |       // The |jacobians| and |affines| contain Sp, Wp, and Wsp. | 
 |       EC_JACOBIAN jacobians[3]; | 
 |       EC_AFFINE affines[3]; | 
 |       if (!method->hash_s(group, &jacobians[0], &Tp_affine, s) || | 
 |           !ec_point_mul_scalar_batch(group, &jacobians[1], &Tp, &xb, | 
 |                                      &jacobians[0], &yb, NULL, NULL) || | 
 |           !ec_point_mul_scalar_batch(group, &jacobians[2], &Tp, &key->xs, | 
 |                                      &jacobians[0], &key->ys, NULL, NULL) || | 
 |           !ec_jacobian_to_affine_batch(group, affines, jacobians, 3) || | 
 |           !CBB_add_bytes(cbb, s, TRUST_TOKEN_NONCE_SIZE) || | 
 |           !cbb_add_prefixed_point(cbb, group, &affines[1], | 
 |                                   method->prefix_point) || | 
 |           !cbb_add_prefixed_point(cbb, group, &affines[2], | 
 |                                   method->prefix_point)) { | 
 |         goto err; | 
 |       } | 
 |  | 
 |       if (!point_to_cbb(&batch_cbb, group, &Tp_affine) || | 
 |           !point_to_cbb(&batch_cbb, group, &affines[0]) || | 
 |           !point_to_cbb(&batch_cbb, group, &affines[1]) || | 
 |           !point_to_cbb(&batch_cbb, group, &affines[2])) { | 
 |         goto err; | 
 |       } | 
 |       Tps[i] = Tp; | 
 |       Sps[i] = jacobians[0]; | 
 |       Wps[i] = jacobians[1]; | 
 |       Wsps[i] = jacobians[2]; | 
 |  | 
 |       if (!CBB_flush(cbb)) { | 
 |         goto err; | 
 |       } | 
 |     } | 
 |  | 
 |     // The DLEQ batching construction is described in appendix B of | 
 |     // https://eprint.iacr.org/2020/072/20200324:214215. Note the additional | 
 |     // computations all act on public inputs. | 
 |     for (size_t i = 0; i < num_to_issue; i++) { | 
 |       if (!hash_c_batch(method, &es[i], &batch_cbb, i)) { | 
 |         goto err; | 
 |       } | 
 |     } | 
 |  | 
 |     EC_JACOBIAN Tp_batch, Sp_batch, Wp_batch, Wsp_batch; | 
 |     if (!ec_point_mul_scalar_public_batch(group, &Tp_batch, | 
 |                                           /*g_scalar=*/NULL, Tps, es, | 
 |                                           num_to_issue) || | 
 |         !ec_point_mul_scalar_public_batch(group, &Sp_batch, | 
 |                                           /*g_scalar=*/NULL, Sps, es, | 
 |                                           num_to_issue) || | 
 |         !ec_point_mul_scalar_public_batch(group, &Wp_batch, | 
 |                                           /*g_scalar=*/NULL, Wps, es, | 
 |                                           num_to_issue) || | 
 |         !ec_point_mul_scalar_public_batch(group, &Wsp_batch, | 
 |                                           /*g_scalar=*/NULL, Wsps, es, | 
 |                                           num_to_issue)) { | 
 |       goto err; | 
 |     } | 
 |  | 
 |     CBB proof; | 
 |     if (!CBB_add_u16_length_prefixed(cbb, &proof) || | 
 |         !dleq_generate(method, &proof, key, &Tp_batch, &Sp_batch, &Wp_batch, | 
 |                        &Wsp_batch, private_metadata) || | 
 |         !CBB_flush(cbb)) { | 
 |       goto err; | 
 |     } | 
 |  | 
 |     // Skip over any unused requests. | 
 |     size_t point_len = ec_point_byte_len(group, POINT_CONVERSION_UNCOMPRESSED); | 
 |     size_t token_len = point_len; | 
 |     if (method->prefix_point) { | 
 |       token_len += 2; | 
 |     } | 
 |     if (!CBS_skip(cbs, token_len * (num_requested - num_to_issue))) { | 
 |       OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_DECODE_FAILURE); | 
 |       goto err; | 
 |     } | 
 |  | 
 |     ret = 1; | 
 |   } | 
 |  | 
 | err: | 
 |   OPENSSL_free(Tps); | 
 |   OPENSSL_free(Sps); | 
 |   OPENSSL_free(Wps); | 
 |   OPENSSL_free(Wsps); | 
 |   OPENSSL_free(es); | 
 |   CBB_cleanup(&batch_cbb); | 
 |   return ret; | 
 | } | 
 |  | 
 | static STACK_OF(TRUST_TOKEN) *pmbtoken_unblind( | 
 |     const PMBTOKEN_METHOD *method, const TRUST_TOKEN_CLIENT_KEY *key, | 
 |     const STACK_OF(TRUST_TOKEN_PRETOKEN) *pretokens, CBS *cbs, size_t count, | 
 |     uint32_t key_id) { | 
 |   const EC_GROUP *group = method->group; | 
 |   if (count > sk_TRUST_TOKEN_PRETOKEN_num(pretokens)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_DECODE_FAILURE); | 
 |     return NULL; | 
 |   } | 
 |  | 
 |   int ok = 0; | 
 |   STACK_OF(TRUST_TOKEN) *ret = sk_TRUST_TOKEN_new_null(); | 
 |   EC_JACOBIAN *Tps = reinterpret_cast<EC_JACOBIAN *>( | 
 |       OPENSSL_calloc(count, sizeof(EC_JACOBIAN))); | 
 |   EC_JACOBIAN *Sps = reinterpret_cast<EC_JACOBIAN *>( | 
 |       OPENSSL_calloc(count, sizeof(EC_JACOBIAN))); | 
 |   EC_JACOBIAN *Wps = reinterpret_cast<EC_JACOBIAN *>( | 
 |       OPENSSL_calloc(count, sizeof(EC_JACOBIAN))); | 
 |   EC_JACOBIAN *Wsps = reinterpret_cast<EC_JACOBIAN *>( | 
 |       OPENSSL_calloc(count, sizeof(EC_JACOBIAN))); | 
 |   EC_SCALAR *es = | 
 |       reinterpret_cast<EC_SCALAR *>(OPENSSL_calloc(count, sizeof(EC_SCALAR))); | 
 |   CBB batch_cbb; | 
 |   CBB_zero(&batch_cbb); | 
 |   if (ret == NULL || Tps == NULL || Sps == NULL || Wps == NULL || | 
 |       Wsps == NULL || es == NULL || !CBB_init(&batch_cbb, 0) || | 
 |       !point_to_cbb(&batch_cbb, method->group, &key->pubs) || | 
 |       !point_to_cbb(&batch_cbb, method->group, &key->pub0) || | 
 |       !point_to_cbb(&batch_cbb, method->group, &key->pub1)) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   for (size_t i = 0; i < count; i++) { | 
 |     const TRUST_TOKEN_PRETOKEN *pretoken = | 
 |         sk_TRUST_TOKEN_PRETOKEN_value(pretokens, i); | 
 |  | 
 |     uint8_t s[TRUST_TOKEN_NONCE_SIZE]; | 
 |     EC_AFFINE Wp_affine, Wsp_affine; | 
 |     if (!CBS_copy_bytes(cbs, s, TRUST_TOKEN_NONCE_SIZE) || | 
 |         !cbs_get_prefixed_point(cbs, group, &Wp_affine, method->prefix_point) || | 
 |         !cbs_get_prefixed_point(cbs, group, &Wsp_affine, | 
 |                                 method->prefix_point)) { | 
 |       OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_DECODE_FAILURE); | 
 |       goto err; | 
 |     } | 
 |  | 
 |     ec_affine_to_jacobian(group, &Tps[i], &pretoken->Tp); | 
 |     ec_affine_to_jacobian(group, &Wps[i], &Wp_affine); | 
 |     ec_affine_to_jacobian(group, &Wsps[i], &Wsp_affine); | 
 |     if (!method->hash_s(group, &Sps[i], &pretoken->Tp, s)) { | 
 |       goto err; | 
 |     } | 
 |  | 
 |     EC_AFFINE Sp_affine; | 
 |     if (!point_to_cbb(&batch_cbb, group, &pretoken->Tp) || | 
 |         !ec_jacobian_to_affine(group, &Sp_affine, &Sps[i]) || | 
 |         !point_to_cbb(&batch_cbb, group, &Sp_affine) || | 
 |         !point_to_cbb(&batch_cbb, group, &Wp_affine) || | 
 |         !point_to_cbb(&batch_cbb, group, &Wsp_affine)) { | 
 |       goto err; | 
 |     } | 
 |  | 
 |     // Unblind the token. | 
 |     EC_JACOBIAN jacobians[3]; | 
 |     EC_AFFINE affines[3]; | 
 |     if (!ec_point_mul_scalar(group, &jacobians[0], &Sps[i], &pretoken->r) || | 
 |         !ec_point_mul_scalar(group, &jacobians[1], &Wps[i], &pretoken->r) || | 
 |         !ec_point_mul_scalar(group, &jacobians[2], &Wsps[i], &pretoken->r) || | 
 |         !ec_jacobian_to_affine_batch(group, affines, jacobians, 3)) { | 
 |       goto err; | 
 |     } | 
 |  | 
 |     // Serialize the token. Include |key_id| to avoid an extra copy in the layer | 
 |     // above. | 
 |     CBB token_cbb; | 
 |     size_t point_len = ec_point_byte_len(group, POINT_CONVERSION_UNCOMPRESSED); | 
 |     if (!CBB_init(&token_cbb, | 
 |                   4 + TRUST_TOKEN_NONCE_SIZE + 3 * (2 + point_len)) || | 
 |         !CBB_add_u32(&token_cbb, key_id) || | 
 |         !CBB_add_bytes(&token_cbb, pretoken->salt, TRUST_TOKEN_NONCE_SIZE) || | 
 |         !cbb_add_prefixed_point(&token_cbb, group, &affines[0], | 
 |                                 method->prefix_point) || | 
 |         !cbb_add_prefixed_point(&token_cbb, group, &affines[1], | 
 |                                 method->prefix_point) || | 
 |         !cbb_add_prefixed_point(&token_cbb, group, &affines[2], | 
 |                                 method->prefix_point) || | 
 |         !CBB_flush(&token_cbb)) { | 
 |       CBB_cleanup(&token_cbb); | 
 |       goto err; | 
 |     } | 
 |  | 
 |     TRUST_TOKEN *token = | 
 |         TRUST_TOKEN_new(CBB_data(&token_cbb), CBB_len(&token_cbb)); | 
 |     CBB_cleanup(&token_cbb); | 
 |     if (token == NULL || !sk_TRUST_TOKEN_push(ret, token)) { | 
 |       TRUST_TOKEN_free(token); | 
 |       goto err; | 
 |     } | 
 |   } | 
 |  | 
 |   // The DLEQ batching construction is described in appendix B of | 
 |   // https://eprint.iacr.org/2020/072/20200324:214215. Note the additional | 
 |   // computations all act on public inputs. | 
 |   for (size_t i = 0; i < count; i++) { | 
 |     if (!hash_c_batch(method, &es[i], &batch_cbb, i)) { | 
 |       goto err; | 
 |     } | 
 |   } | 
 |  | 
 |   EC_JACOBIAN Tp_batch, Sp_batch, Wp_batch, Wsp_batch; | 
 |   if (!ec_point_mul_scalar_public_batch(group, &Tp_batch, | 
 |                                         /*g_scalar=*/NULL, Tps, es, count) || | 
 |       !ec_point_mul_scalar_public_batch(group, &Sp_batch, | 
 |                                         /*g_scalar=*/NULL, Sps, es, count) || | 
 |       !ec_point_mul_scalar_public_batch(group, &Wp_batch, | 
 |                                         /*g_scalar=*/NULL, Wps, es, count) || | 
 |       !ec_point_mul_scalar_public_batch(group, &Wsp_batch, | 
 |                                         /*g_scalar=*/NULL, Wsps, es, count)) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   CBS proof; | 
 |   if (!CBS_get_u16_length_prefixed(cbs, &proof) || | 
 |       !dleq_verify(method, &proof, key, &Tp_batch, &Sp_batch, &Wp_batch, | 
 |                    &Wsp_batch) || | 
 |       CBS_len(&proof) != 0) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   ok = 1; | 
 |  | 
 | err: | 
 |   OPENSSL_free(Tps); | 
 |   OPENSSL_free(Sps); | 
 |   OPENSSL_free(Wps); | 
 |   OPENSSL_free(Wsps); | 
 |   OPENSSL_free(es); | 
 |   CBB_cleanup(&batch_cbb); | 
 |   if (!ok) { | 
 |     sk_TRUST_TOKEN_pop_free(ret, TRUST_TOKEN_free); | 
 |     ret = NULL; | 
 |   } | 
 |   return ret; | 
 | } | 
 |  | 
 | static int pmbtoken_read(const PMBTOKEN_METHOD *method, | 
 |                          const TRUST_TOKEN_ISSUER_KEY *key, | 
 |                          uint8_t out_nonce[TRUST_TOKEN_NONCE_SIZE], | 
 |                          uint8_t *out_private_metadata, const uint8_t *token, | 
 |                          size_t token_len, int include_message, | 
 |                          const uint8_t *msg, size_t msg_len) { | 
 |   const EC_GROUP *group = method->group; | 
 |   CBS cbs, salt; | 
 |   CBS_init(&cbs, token, token_len); | 
 |   EC_AFFINE S, W, Ws; | 
 |   if (!CBS_get_bytes(&cbs, &salt, TRUST_TOKEN_NONCE_SIZE) || | 
 |       !cbs_get_prefixed_point(&cbs, group, &S, method->prefix_point) || | 
 |       !cbs_get_prefixed_point(&cbs, group, &W, method->prefix_point) || | 
 |       !cbs_get_prefixed_point(&cbs, group, &Ws, method->prefix_point) || | 
 |       CBS_len(&cbs) != 0) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_INVALID_TOKEN); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   if (include_message) { | 
 |     SHA512_CTX hash_ctx; | 
 |     assert(SHA512_DIGEST_LENGTH == TRUST_TOKEN_NONCE_SIZE); | 
 |     SHA512_Init(&hash_ctx); | 
 |     SHA512_Update(&hash_ctx, CBS_data(&salt), CBS_len(&salt)); | 
 |     SHA512_Update(&hash_ctx, msg, msg_len); | 
 |     SHA512_Final(out_nonce, &hash_ctx); | 
 |   } else { | 
 |     OPENSSL_memcpy(out_nonce, CBS_data(&salt), CBS_len(&salt)); | 
 |   } | 
 |  | 
 |   EC_JACOBIAN T; | 
 |   if (!method->hash_t(group, &T, out_nonce)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   // We perform three multiplications with S and T. This is enough that it is | 
 |   // worth using |ec_point_mul_scalar_precomp|. | 
 |   EC_JACOBIAN S_jacobian; | 
 |   EC_PRECOMP S_precomp, T_precomp; | 
 |   ec_affine_to_jacobian(group, &S_jacobian, &S); | 
 |   if (!ec_init_precomp(group, &S_precomp, &S_jacobian) || | 
 |       !ec_init_precomp(group, &T_precomp, &T)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   EC_JACOBIAN Ws_calculated; | 
 |   // Check the validity of the token. | 
 |   if (!ec_point_mul_scalar_precomp(group, &Ws_calculated, &T_precomp, &key->xs, | 
 |                                    &S_precomp, &key->ys, NULL, NULL) || | 
 |       !ec_affine_jacobian_equal(group, &Ws, &Ws_calculated)) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, TRUST_TOKEN_R_BAD_VALIDITY_CHECK); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   EC_JACOBIAN W0, W1; | 
 |   if (!ec_point_mul_scalar_precomp(group, &W0, &T_precomp, &key->x0, &S_precomp, | 
 |                                    &key->y0, NULL, NULL) || | 
 |       !ec_point_mul_scalar_precomp(group, &W1, &T_precomp, &key->x1, &S_precomp, | 
 |                                    &key->y1, NULL, NULL)) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   const int is_W0 = ec_affine_jacobian_equal(group, &W, &W0); | 
 |   const int is_W1 = ec_affine_jacobian_equal(group, &W, &W1); | 
 |   const int is_valid = is_W0 ^ is_W1; | 
 |   if (!is_valid) { | 
 |     // Invalid tokens will fail the validity check above. | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, ERR_R_INTERNAL_ERROR); | 
 |     return 0; | 
 |   } | 
 |  | 
 |   *out_private_metadata = is_W1; | 
 |   return 1; | 
 | } | 
 |  | 
 |  | 
 | // PMBTokens experiment v1. | 
 |  | 
 | static int pmbtoken_exp1_hash_t(const EC_GROUP *group, EC_JACOBIAN *out, | 
 |                                 const uint8_t t[TRUST_TOKEN_NONCE_SIZE]) { | 
 |   const uint8_t kHashTLabel[] = "PMBTokens Experiment V1 HashT"; | 
 |   return ec_hash_to_curve_p384_xmd_sha512_sswu_draft07( | 
 |       group, out, kHashTLabel, sizeof(kHashTLabel), t, TRUST_TOKEN_NONCE_SIZE); | 
 | } | 
 |  | 
 | static int pmbtoken_exp1_hash_s(const EC_GROUP *group, EC_JACOBIAN *out, | 
 |                                 const EC_AFFINE *t, | 
 |                                 const uint8_t s[TRUST_TOKEN_NONCE_SIZE]) { | 
 |   const uint8_t kHashSLabel[] = "PMBTokens Experiment V1 HashS"; | 
 |   int ret = 0; | 
 |   CBB cbb; | 
 |   uint8_t *buf = NULL; | 
 |   size_t len; | 
 |   if (!CBB_init(&cbb, 0) || !point_to_cbb(&cbb, group, t) || | 
 |       !CBB_add_bytes(&cbb, s, TRUST_TOKEN_NONCE_SIZE) || | 
 |       !CBB_finish(&cbb, &buf, &len) || | 
 |       !ec_hash_to_curve_p384_xmd_sha512_sswu_draft07( | 
 |           group, out, kHashSLabel, sizeof(kHashSLabel), buf, len)) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   ret = 1; | 
 |  | 
 | err: | 
 |   OPENSSL_free(buf); | 
 |   CBB_cleanup(&cbb); | 
 |   return ret; | 
 | } | 
 |  | 
 | static int pmbtoken_exp1_hash_c(const EC_GROUP *group, EC_SCALAR *out, | 
 |                                 uint8_t *buf, size_t len) { | 
 |   const uint8_t kHashCLabel[] = "PMBTokens Experiment V1 HashC"; | 
 |   return ec_hash_to_scalar_p384_xmd_sha512_draft07( | 
 |       group, out, kHashCLabel, sizeof(kHashCLabel), buf, len); | 
 | } | 
 |  | 
 | static int pmbtoken_exp1_hash_to_scalar(const EC_GROUP *group, EC_SCALAR *out, | 
 |                                         uint8_t *buf, size_t len) { | 
 |   const uint8_t kHashLabel[] = "PMBTokens Experiment V1 HashToScalar"; | 
 |   return ec_hash_to_scalar_p384_xmd_sha512_draft07( | 
 |       group, out, kHashLabel, sizeof(kHashLabel), buf, len); | 
 | } | 
 |  | 
 | static int pmbtoken_exp1_ok = 0; | 
 | static PMBTOKEN_METHOD pmbtoken_exp1_method; | 
 | static CRYPTO_once_t pmbtoken_exp1_method_once = CRYPTO_ONCE_INIT; | 
 |  | 
 | static void pmbtoken_exp1_init_method_impl(void) { | 
 |   // This is the output of |ec_hash_to_scalar_p384_xmd_sha512_draft07| with DST | 
 |   // "PMBTokens Experiment V1 HashH" and message "generator". | 
 |   static const uint8_t kH[] = { | 
 |       0x04, 0x82, 0xd5, 0x68, 0xf5, 0x39, 0xf6, 0x08, 0x19, 0xa1, 0x75, | 
 |       0x9f, 0x98, 0xb5, 0x10, 0xf5, 0x0b, 0x9d, 0x2b, 0xe1, 0x64, 0x4d, | 
 |       0x02, 0x76, 0x18, 0x11, 0xf8, 0x2f, 0xd3, 0x33, 0x25, 0x1f, 0x2c, | 
 |       0xb8, 0xf6, 0xf1, 0x9e, 0x93, 0x85, 0x79, 0xb3, 0xb7, 0x81, 0xa3, | 
 |       0xe6, 0x23, 0xc3, 0x1c, 0xff, 0x03, 0xd9, 0x40, 0x6c, 0xec, 0xe0, | 
 |       0x4d, 0xea, 0xdf, 0x9d, 0x94, 0xd1, 0x87, 0xab, 0x27, 0xf7, 0x4f, | 
 |       0x53, 0xea, 0xa3, 0x18, 0x72, 0xb9, 0xd1, 0x56, 0xa0, 0x4e, 0x81, | 
 |       0xaa, 0xeb, 0x1c, 0x22, 0x6d, 0x39, 0x1c, 0x5e, 0xb1, 0x27, 0xfc, | 
 |       0x87, 0xc3, 0x95, 0xd0, 0x13, 0xb7, 0x0b, 0x5c, 0xc7, | 
 |   }; | 
 |  | 
 |   pmbtoken_exp1_ok = pmbtoken_init_method( | 
 |       &pmbtoken_exp1_method, EC_group_p384(), kH, sizeof(kH), | 
 |       pmbtoken_exp1_hash_t, pmbtoken_exp1_hash_s, pmbtoken_exp1_hash_c, | 
 |       pmbtoken_exp1_hash_to_scalar, 1); | 
 | } | 
 |  | 
 | static int pmbtoken_exp1_init_method(void) { | 
 |   CRYPTO_once(&pmbtoken_exp1_method_once, pmbtoken_exp1_init_method_impl); | 
 |   if (!pmbtoken_exp1_ok) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, ERR_R_INTERNAL_ERROR); | 
 |     return 0; | 
 |   } | 
 |   return 1; | 
 | } | 
 |  | 
 | int pmbtoken_exp1_generate_key(CBB *out_private, CBB *out_public) { | 
 |   if (!pmbtoken_exp1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return pmbtoken_generate_key(&pmbtoken_exp1_method, out_private, out_public); | 
 | } | 
 |  | 
 | int pmbtoken_exp1_derive_key_from_secret(CBB *out_private, CBB *out_public, | 
 |                                          const uint8_t *secret, | 
 |                                          size_t secret_len) { | 
 |   if (!pmbtoken_exp1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return pmbtoken_derive_key_from_secret(&pmbtoken_exp1_method, out_private, | 
 |                                          out_public, secret, secret_len); | 
 | } | 
 |  | 
 | int pmbtoken_exp1_client_key_from_bytes(TRUST_TOKEN_CLIENT_KEY *key, | 
 |                                         const uint8_t *in, size_t len) { | 
 |   if (!pmbtoken_exp1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_client_key_from_bytes(&pmbtoken_exp1_method, key, in, len); | 
 | } | 
 |  | 
 | int pmbtoken_exp1_issuer_key_from_bytes(TRUST_TOKEN_ISSUER_KEY *key, | 
 |                                         const uint8_t *in, size_t len) { | 
 |   if (!pmbtoken_exp1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_issuer_key_from_bytes(&pmbtoken_exp1_method, key, in, len); | 
 | } | 
 |  | 
 | STACK_OF(TRUST_TOKEN_PRETOKEN) *pmbtoken_exp1_blind(CBB *cbb, size_t count, | 
 |                                                     int include_message, | 
 |                                                     const uint8_t *msg, | 
 |                                                     size_t msg_len) { | 
 |   if (!pmbtoken_exp1_init_method()) { | 
 |     return NULL; | 
 |   } | 
 |   return pmbtoken_blind(&pmbtoken_exp1_method, cbb, count, include_message, msg, | 
 |                         msg_len); | 
 | } | 
 |  | 
 | int pmbtoken_exp1_sign(const TRUST_TOKEN_ISSUER_KEY *key, CBB *cbb, CBS *cbs, | 
 |                        size_t num_requested, size_t num_to_issue, | 
 |                        uint8_t private_metadata) { | 
 |   if (!pmbtoken_exp1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_sign(&pmbtoken_exp1_method, key, cbb, cbs, num_requested, | 
 |                        num_to_issue, private_metadata); | 
 | } | 
 |  | 
 | STACK_OF(TRUST_TOKEN) *pmbtoken_exp1_unblind( | 
 |     const TRUST_TOKEN_CLIENT_KEY *key, | 
 |     const STACK_OF(TRUST_TOKEN_PRETOKEN) *pretokens, CBS *cbs, size_t count, | 
 |     uint32_t key_id) { | 
 |   if (!pmbtoken_exp1_init_method()) { | 
 |     return NULL; | 
 |   } | 
 |   return pmbtoken_unblind(&pmbtoken_exp1_method, key, pretokens, cbs, count, | 
 |                           key_id); | 
 | } | 
 |  | 
 | int pmbtoken_exp1_read(const TRUST_TOKEN_ISSUER_KEY *key, | 
 |                        uint8_t out_nonce[TRUST_TOKEN_NONCE_SIZE], | 
 |                        uint8_t *out_private_metadata, const uint8_t *token, | 
 |                        size_t token_len, int include_message, | 
 |                        const uint8_t *msg, size_t msg_len) { | 
 |   if (!pmbtoken_exp1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_read(&pmbtoken_exp1_method, key, out_nonce, | 
 |                        out_private_metadata, token, token_len, include_message, | 
 |                        msg, msg_len); | 
 | } | 
 |  | 
 | int pmbtoken_exp1_get_h_for_testing(uint8_t out[97]) { | 
 |   if (!pmbtoken_exp1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   EC_AFFINE h; | 
 |   return ec_jacobian_to_affine(pmbtoken_exp1_method.group, &h, | 
 |                                &pmbtoken_exp1_method.h) && | 
 |          ec_point_to_bytes(pmbtoken_exp1_method.group, &h, | 
 |                            POINT_CONVERSION_UNCOMPRESSED, out, 97) == 97; | 
 | } | 
 |  | 
 | // PMBTokens experiment v2. | 
 |  | 
 | static int pmbtoken_exp2_hash_t(const EC_GROUP *group, EC_JACOBIAN *out, | 
 |                                 const uint8_t t[TRUST_TOKEN_NONCE_SIZE]) { | 
 |   const uint8_t kHashTLabel[] = "PMBTokens Experiment V2 HashT"; | 
 |   return ec_hash_to_curve_p384_xmd_sha512_sswu_draft07( | 
 |       group, out, kHashTLabel, sizeof(kHashTLabel), t, TRUST_TOKEN_NONCE_SIZE); | 
 | } | 
 |  | 
 | static int pmbtoken_exp2_hash_s(const EC_GROUP *group, EC_JACOBIAN *out, | 
 |                                 const EC_AFFINE *t, | 
 |                                 const uint8_t s[TRUST_TOKEN_NONCE_SIZE]) { | 
 |   const uint8_t kHashSLabel[] = "PMBTokens Experiment V2 HashS"; | 
 |   int ret = 0; | 
 |   CBB cbb; | 
 |   uint8_t *buf = NULL; | 
 |   size_t len; | 
 |   if (!CBB_init(&cbb, 0) || !point_to_cbb(&cbb, group, t) || | 
 |       !CBB_add_bytes(&cbb, s, TRUST_TOKEN_NONCE_SIZE) || | 
 |       !CBB_finish(&cbb, &buf, &len) || | 
 |       !ec_hash_to_curve_p384_xmd_sha512_sswu_draft07( | 
 |           group, out, kHashSLabel, sizeof(kHashSLabel), buf, len)) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   ret = 1; | 
 |  | 
 | err: | 
 |   OPENSSL_free(buf); | 
 |   CBB_cleanup(&cbb); | 
 |   return ret; | 
 | } | 
 |  | 
 | static int pmbtoken_exp2_hash_c(const EC_GROUP *group, EC_SCALAR *out, | 
 |                                 uint8_t *buf, size_t len) { | 
 |   const uint8_t kHashCLabel[] = "PMBTokens Experiment V2 HashC"; | 
 |   return ec_hash_to_scalar_p384_xmd_sha512_draft07( | 
 |       group, out, kHashCLabel, sizeof(kHashCLabel), buf, len); | 
 | } | 
 |  | 
 | static int pmbtoken_exp2_hash_to_scalar(const EC_GROUP *group, EC_SCALAR *out, | 
 |                                         uint8_t *buf, size_t len) { | 
 |   const uint8_t kHashLabel[] = "PMBTokens Experiment V2 HashToScalar"; | 
 |   return ec_hash_to_scalar_p384_xmd_sha512_draft07( | 
 |       group, out, kHashLabel, sizeof(kHashLabel), buf, len); | 
 | } | 
 |  | 
 | static int pmbtoken_exp2_ok = 0; | 
 | static PMBTOKEN_METHOD pmbtoken_exp2_method; | 
 | static CRYPTO_once_t pmbtoken_exp2_method_once = CRYPTO_ONCE_INIT; | 
 |  | 
 | static void pmbtoken_exp2_init_method_impl(void) { | 
 |   // This is the output of |ec_hash_to_scalar_p384_xmd_sha512_draft07| with DST | 
 |   // "PMBTokens Experiment V2 HashH" and message "generator". | 
 |   static const uint8_t kH[] = { | 
 |       0x04, 0xbc, 0x27, 0x24, 0x99, 0xfa, 0xc9, 0xa4, 0x74, 0x6f, 0xf9, | 
 |       0x07, 0x81, 0x55, 0xf8, 0x1f, 0x6f, 0xda, 0x09, 0xe7, 0x8c, 0x5d, | 
 |       0x9e, 0x4e, 0x14, 0x7c, 0x53, 0x14, 0xbc, 0x7e, 0x29, 0x57, 0x92, | 
 |       0x17, 0x94, 0x6e, 0xd2, 0xdf, 0xa5, 0x31, 0x1b, 0x4e, 0xb7, 0xfc, | 
 |       0x93, 0xe3, 0x6e, 0x14, 0x1f, 0x4f, 0x14, 0xf3, 0xe5, 0x47, 0x61, | 
 |       0x1c, 0x2c, 0x72, 0x25, 0xf0, 0x4a, 0x45, 0x23, 0x2d, 0x57, 0x93, | 
 |       0x0e, 0xb2, 0x55, 0xb8, 0x57, 0x25, 0x4c, 0x1e, 0xdb, 0xfd, 0x58, | 
 |       0x70, 0x17, 0x9a, 0xbb, 0x9e, 0x5e, 0x93, 0x9e, 0x92, 0xd3, 0xe8, | 
 |       0x25, 0x62, 0xbf, 0x59, 0xb2, 0xd2, 0x3d, 0x71, 0xff}; | 
 |  | 
 |   pmbtoken_exp2_ok = pmbtoken_init_method( | 
 |       &pmbtoken_exp2_method, EC_group_p384(), kH, sizeof(kH), | 
 |       pmbtoken_exp2_hash_t, pmbtoken_exp2_hash_s, pmbtoken_exp2_hash_c, | 
 |       pmbtoken_exp2_hash_to_scalar, 0); | 
 | } | 
 |  | 
 | static int pmbtoken_exp2_init_method(void) { | 
 |   CRYPTO_once(&pmbtoken_exp2_method_once, pmbtoken_exp2_init_method_impl); | 
 |   if (!pmbtoken_exp2_ok) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, ERR_R_INTERNAL_ERROR); | 
 |     return 0; | 
 |   } | 
 |   return 1; | 
 | } | 
 |  | 
 | int pmbtoken_exp2_generate_key(CBB *out_private, CBB *out_public) { | 
 |   if (!pmbtoken_exp2_init_method()) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return pmbtoken_generate_key(&pmbtoken_exp2_method, out_private, out_public); | 
 | } | 
 |  | 
 |  | 
 | int pmbtoken_exp2_derive_key_from_secret(CBB *out_private, CBB *out_public, | 
 |                                          const uint8_t *secret, | 
 |                                          size_t secret_len) { | 
 |   if (!pmbtoken_exp2_init_method()) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return pmbtoken_derive_key_from_secret(&pmbtoken_exp2_method, out_private, | 
 |                                          out_public, secret, secret_len); | 
 | } | 
 |  | 
 | int pmbtoken_exp2_client_key_from_bytes(TRUST_TOKEN_CLIENT_KEY *key, | 
 |                                         const uint8_t *in, size_t len) { | 
 |   if (!pmbtoken_exp2_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_client_key_from_bytes(&pmbtoken_exp2_method, key, in, len); | 
 | } | 
 |  | 
 | int pmbtoken_exp2_issuer_key_from_bytes(TRUST_TOKEN_ISSUER_KEY *key, | 
 |                                         const uint8_t *in, size_t len) { | 
 |   if (!pmbtoken_exp2_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_issuer_key_from_bytes(&pmbtoken_exp2_method, key, in, len); | 
 | } | 
 |  | 
 | STACK_OF(TRUST_TOKEN_PRETOKEN) *pmbtoken_exp2_blind(CBB *cbb, size_t count, | 
 |                                                     int include_message, | 
 |                                                     const uint8_t *msg, | 
 |                                                     size_t msg_len) { | 
 |   if (!pmbtoken_exp2_init_method()) { | 
 |     return NULL; | 
 |   } | 
 |   return pmbtoken_blind(&pmbtoken_exp2_method, cbb, count, include_message, msg, | 
 |                         msg_len); | 
 | } | 
 |  | 
 | int pmbtoken_exp2_sign(const TRUST_TOKEN_ISSUER_KEY *key, CBB *cbb, CBS *cbs, | 
 |                        size_t num_requested, size_t num_to_issue, | 
 |                        uint8_t private_metadata) { | 
 |   if (!pmbtoken_exp2_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_sign(&pmbtoken_exp2_method, key, cbb, cbs, num_requested, | 
 |                        num_to_issue, private_metadata); | 
 | } | 
 |  | 
 | STACK_OF(TRUST_TOKEN) *pmbtoken_exp2_unblind( | 
 |     const TRUST_TOKEN_CLIENT_KEY *key, | 
 |     const STACK_OF(TRUST_TOKEN_PRETOKEN) *pretokens, CBS *cbs, size_t count, | 
 |     uint32_t key_id) { | 
 |   if (!pmbtoken_exp2_init_method()) { | 
 |     return NULL; | 
 |   } | 
 |   return pmbtoken_unblind(&pmbtoken_exp2_method, key, pretokens, cbs, count, | 
 |                           key_id); | 
 | } | 
 |  | 
 | int pmbtoken_exp2_read(const TRUST_TOKEN_ISSUER_KEY *key, | 
 |                        uint8_t out_nonce[TRUST_TOKEN_NONCE_SIZE], | 
 |                        uint8_t *out_private_metadata, const uint8_t *token, | 
 |                        size_t token_len, int include_message, | 
 |                        const uint8_t *msg, size_t msg_len) { | 
 |   if (!pmbtoken_exp2_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_read(&pmbtoken_exp2_method, key, out_nonce, | 
 |                        out_private_metadata, token, token_len, include_message, | 
 |                        msg, msg_len); | 
 | } | 
 |  | 
 | int pmbtoken_exp2_get_h_for_testing(uint8_t out[97]) { | 
 |   if (!pmbtoken_exp2_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   EC_AFFINE h; | 
 |   return ec_jacobian_to_affine(pmbtoken_exp2_method.group, &h, | 
 |                                &pmbtoken_exp2_method.h) && | 
 |          ec_point_to_bytes(pmbtoken_exp2_method.group, &h, | 
 |                            POINT_CONVERSION_UNCOMPRESSED, out, 97) == 97; | 
 | } | 
 |  | 
 | // PMBTokens PST v1. | 
 |  | 
 | static int pmbtoken_pst1_hash_t(const EC_GROUP *group, EC_JACOBIAN *out, | 
 |                                 const uint8_t t[TRUST_TOKEN_NONCE_SIZE]) { | 
 |   const uint8_t kHashTLabel[] = "PMBTokens PST V1 HashT"; | 
 |   return ec_hash_to_curve_p384_xmd_sha384_sswu( | 
 |       group, out, kHashTLabel, sizeof(kHashTLabel), t, TRUST_TOKEN_NONCE_SIZE); | 
 | } | 
 |  | 
 | static int pmbtoken_pst1_hash_s(const EC_GROUP *group, EC_JACOBIAN *out, | 
 |                                 const EC_AFFINE *t, | 
 |                                 const uint8_t s[TRUST_TOKEN_NONCE_SIZE]) { | 
 |   const uint8_t kHashSLabel[] = "PMBTokens PST V1 HashS"; | 
 |   int ret = 0; | 
 |   CBB cbb; | 
 |   uint8_t *buf = NULL; | 
 |   size_t len; | 
 |   if (!CBB_init(&cbb, 0) || !point_to_cbb(&cbb, group, t) || | 
 |       !CBB_add_bytes(&cbb, s, TRUST_TOKEN_NONCE_SIZE) || | 
 |       !CBB_finish(&cbb, &buf, &len) || | 
 |       !ec_hash_to_curve_p384_xmd_sha384_sswu(group, out, kHashSLabel, | 
 |                                              sizeof(kHashSLabel), buf, len)) { | 
 |     goto err; | 
 |   } | 
 |  | 
 |   ret = 1; | 
 |  | 
 | err: | 
 |   OPENSSL_free(buf); | 
 |   CBB_cleanup(&cbb); | 
 |   return ret; | 
 | } | 
 |  | 
 | static int pmbtoken_pst1_hash_c(const EC_GROUP *group, EC_SCALAR *out, | 
 |                                 uint8_t *buf, size_t len) { | 
 |   const uint8_t kHashCLabel[] = "PMBTokens PST V1 HashC"; | 
 |   return ec_hash_to_scalar_p384_xmd_sha384(group, out, kHashCLabel, | 
 |                                            sizeof(kHashCLabel), buf, len); | 
 | } | 
 |  | 
 | static int pmbtoken_pst1_hash_to_scalar(const EC_GROUP *group, EC_SCALAR *out, | 
 |                                         uint8_t *buf, size_t len) { | 
 |   const uint8_t kHashLabel[] = "PMBTokens PST V1 HashToScalar"; | 
 |   return ec_hash_to_scalar_p384_xmd_sha384(group, out, kHashLabel, | 
 |                                            sizeof(kHashLabel), buf, len); | 
 | } | 
 |  | 
 | static int pmbtoken_pst1_ok = 0; | 
 | static PMBTOKEN_METHOD pmbtoken_pst1_method; | 
 | static CRYPTO_once_t pmbtoken_pst1_method_once = CRYPTO_ONCE_INIT; | 
 |  | 
 | static void pmbtoken_pst1_init_method_impl(void) { | 
 |   // This is the output of |ec_hash_to_scalar_p384_xmd_sha384| with DST | 
 |   // "PMBTokens PST V1 HashH" and message "generator". | 
 |   static const uint8_t kH[] = { | 
 |       0x04, 0x4c, 0xfa, 0xd4, 0x33, 0x6d, 0x8c, 0x4e, 0x18, 0xce, 0x1a, | 
 |       0x82, 0x7b, 0x53, 0x8c, 0xf8, 0x63, 0x18, 0xe5, 0xa3, 0x96, 0x0d, | 
 |       0x05, 0xde, 0xf4, 0x83, 0xa7, 0xd8, 0xde, 0x9c, 0x50, 0x81, 0x38, | 
 |       0xc9, 0x38, 0x25, 0xa3, 0x70, 0x97, 0xc1, 0x1c, 0x33, 0x2e, 0x83, | 
 |       0x68, 0x64, 0x9c, 0x53, 0x73, 0xc3, 0x03, 0xc1, 0xa9, 0xd8, 0x92, | 
 |       0xa2, 0x32, 0xf4, 0x22, 0x40, 0x07, 0x2d, 0x9b, 0x6f, 0xab, 0xff, | 
 |       0x2a, 0x92, 0x03, 0xb1, 0x73, 0x09, 0x1a, 0x6a, 0x4a, 0xc2, 0x4c, | 
 |       0xac, 0x13, 0x59, 0xf4, 0x28, 0x0e, 0x78, 0x69, 0xa5, 0xdf, 0x0d, | 
 |       0x74, 0xeb, 0x14, 0xca, 0x8a, 0x32, 0xbb, 0xd3, 0x91}; | 
 |  | 
 |   pmbtoken_pst1_ok = pmbtoken_init_method( | 
 |       &pmbtoken_pst1_method, EC_group_p384(), kH, sizeof(kH), | 
 |       pmbtoken_pst1_hash_t, pmbtoken_pst1_hash_s, pmbtoken_pst1_hash_c, | 
 |       pmbtoken_pst1_hash_to_scalar, 0); | 
 | } | 
 |  | 
 | static int pmbtoken_pst1_init_method(void) { | 
 |   CRYPTO_once(&pmbtoken_pst1_method_once, pmbtoken_pst1_init_method_impl); | 
 |   if (!pmbtoken_pst1_ok) { | 
 |     OPENSSL_PUT_ERROR(TRUST_TOKEN, ERR_R_INTERNAL_ERROR); | 
 |     return 0; | 
 |   } | 
 |   return 1; | 
 | } | 
 |  | 
 | int pmbtoken_pst1_generate_key(CBB *out_private, CBB *out_public) { | 
 |   if (!pmbtoken_pst1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return pmbtoken_generate_key(&pmbtoken_pst1_method, out_private, out_public); | 
 | } | 
 |  | 
 |  | 
 | int pmbtoken_pst1_derive_key_from_secret(CBB *out_private, CBB *out_public, | 
 |                                          const uint8_t *secret, | 
 |                                          size_t secret_len) { | 
 |   if (!pmbtoken_pst1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |  | 
 |   return pmbtoken_derive_key_from_secret(&pmbtoken_pst1_method, out_private, | 
 |                                          out_public, secret, secret_len); | 
 | } | 
 |  | 
 | int pmbtoken_pst1_client_key_from_bytes(TRUST_TOKEN_CLIENT_KEY *key, | 
 |                                         const uint8_t *in, size_t len) { | 
 |   if (!pmbtoken_pst1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_client_key_from_bytes(&pmbtoken_pst1_method, key, in, len); | 
 | } | 
 |  | 
 | int pmbtoken_pst1_issuer_key_from_bytes(TRUST_TOKEN_ISSUER_KEY *key, | 
 |                                         const uint8_t *in, size_t len) { | 
 |   if (!pmbtoken_pst1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_issuer_key_from_bytes(&pmbtoken_pst1_method, key, in, len); | 
 | } | 
 |  | 
 | STACK_OF(TRUST_TOKEN_PRETOKEN) *pmbtoken_pst1_blind(CBB *cbb, size_t count, | 
 |                                                     int include_message, | 
 |                                                     const uint8_t *msg, | 
 |                                                     size_t msg_len) { | 
 |   if (!pmbtoken_pst1_init_method()) { | 
 |     return NULL; | 
 |   } | 
 |   return pmbtoken_blind(&pmbtoken_pst1_method, cbb, count, include_message, msg, | 
 |                         msg_len); | 
 | } | 
 |  | 
 | int pmbtoken_pst1_sign(const TRUST_TOKEN_ISSUER_KEY *key, CBB *cbb, CBS *cbs, | 
 |                        size_t num_requested, size_t num_to_issue, | 
 |                        uint8_t private_metadata) { | 
 |   if (!pmbtoken_pst1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_sign(&pmbtoken_pst1_method, key, cbb, cbs, num_requested, | 
 |                        num_to_issue, private_metadata); | 
 | } | 
 |  | 
 | STACK_OF(TRUST_TOKEN) *pmbtoken_pst1_unblind( | 
 |     const TRUST_TOKEN_CLIENT_KEY *key, | 
 |     const STACK_OF(TRUST_TOKEN_PRETOKEN) *pretokens, CBS *cbs, size_t count, | 
 |     uint32_t key_id) { | 
 |   if (!pmbtoken_pst1_init_method()) { | 
 |     return NULL; | 
 |   } | 
 |   return pmbtoken_unblind(&pmbtoken_pst1_method, key, pretokens, cbs, count, | 
 |                           key_id); | 
 | } | 
 |  | 
 | int pmbtoken_pst1_read(const TRUST_TOKEN_ISSUER_KEY *key, | 
 |                        uint8_t out_nonce[TRUST_TOKEN_NONCE_SIZE], | 
 |                        uint8_t *out_private_metadata, const uint8_t *token, | 
 |                        size_t token_len, int include_message, | 
 |                        const uint8_t *msg, size_t msg_len) { | 
 |   if (!pmbtoken_pst1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   return pmbtoken_read(&pmbtoken_pst1_method, key, out_nonce, | 
 |                        out_private_metadata, token, token_len, include_message, | 
 |                        msg, msg_len); | 
 | } | 
 |  | 
 | int pmbtoken_pst1_get_h_for_testing(uint8_t out[97]) { | 
 |   if (!pmbtoken_pst1_init_method()) { | 
 |     return 0; | 
 |   } | 
 |   EC_AFFINE h; | 
 |   return ec_jacobian_to_affine(pmbtoken_pst1_method.group, &h, | 
 |                                &pmbtoken_pst1_method.h) && | 
 |          ec_point_to_bytes(pmbtoken_pst1_method.group, &h, | 
 |                            POINT_CONVERSION_UNCOMPRESSED, out, 97) == 97; | 
 | } |