diff options
Diffstat (limited to 'crypto/secp256k1/libsecp256k1/src/tests.c')
| -rw-r--r-- | crypto/secp256k1/libsecp256k1/src/tests.c | 4525 |
1 files changed, 0 insertions, 4525 deletions
diff --git a/crypto/secp256k1/libsecp256k1/src/tests.c b/crypto/secp256k1/libsecp256k1/src/tests.c deleted file mode 100644 index 9ae7d3028..000000000 --- a/crypto/secp256k1/libsecp256k1/src/tests.c +++ /dev/null @@ -1,4525 +0,0 @@ -/********************************************************************** - * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#if defined HAVE_CONFIG_H -#include "libsecp256k1-config.h" -#endif - -#include <stdio.h> -#include <stdlib.h> - -#include <time.h> - -#include "secp256k1.c" -#include "include/secp256k1.h" -#include "testrand_impl.h" - -#ifdef ENABLE_OPENSSL_TESTS -#include "openssl/bn.h" -#include "openssl/ec.h" -#include "openssl/ecdsa.h" -#include "openssl/obj_mac.h" -#endif - -#include "contrib/lax_der_parsing.c" -#include "contrib/lax_der_privatekey_parsing.c" - -#if !defined(VG_CHECK) -# if defined(VALGRIND) -# include <valgrind/memcheck.h> -# define VG_UNDEF(x,y) VALGRIND_MAKE_MEM_UNDEFINED((x),(y)) -# define VG_CHECK(x,y) VALGRIND_CHECK_MEM_IS_DEFINED((x),(y)) -# else -# define VG_UNDEF(x,y) -# define VG_CHECK(x,y) -# endif -#endif - -static int count = 64; -static secp256k1_context *ctx = NULL; - -static void counting_illegal_callback_fn(const char* str, void* data) { - /* Dummy callback function that just counts. */ - int32_t *p; - (void)str; - p = data; - (*p)++; -} - -static void uncounting_illegal_callback_fn(const char* str, void* data) { - /* Dummy callback function that just counts (backwards). */ - int32_t *p; - (void)str; - p = data; - (*p)--; -} - -void random_field_element_test(secp256k1_fe *fe) { - do { - unsigned char b32[32]; - secp256k1_rand256_test(b32); - if (secp256k1_fe_set_b32(fe, b32)) { - break; - } - } while(1); -} - -void random_field_element_magnitude(secp256k1_fe *fe) { - secp256k1_fe zero; - int n = secp256k1_rand_int(9); - secp256k1_fe_normalize(fe); - if (n == 0) { - return; - } - secp256k1_fe_clear(&zero); - secp256k1_fe_negate(&zero, &zero, 0); - secp256k1_fe_mul_int(&zero, n - 1); - secp256k1_fe_add(fe, &zero); - VERIFY_CHECK(fe->magnitude == n); -} - -void random_group_element_test(secp256k1_ge *ge) { - secp256k1_fe fe; - do { - random_field_element_test(&fe); - if (secp256k1_ge_set_xo_var(ge, &fe, secp256k1_rand_bits(1))) { - secp256k1_fe_normalize(&ge->y); - break; - } - } while(1); -} - -void random_group_element_jacobian_test(secp256k1_gej *gej, const secp256k1_ge *ge) { - secp256k1_fe z2, z3; - do { - random_field_element_test(&gej->z); - if (!secp256k1_fe_is_zero(&gej->z)) { - break; - } - } while(1); - secp256k1_fe_sqr(&z2, &gej->z); - secp256k1_fe_mul(&z3, &z2, &gej->z); - secp256k1_fe_mul(&gej->x, &ge->x, &z2); - secp256k1_fe_mul(&gej->y, &ge->y, &z3); - gej->infinity = ge->infinity; -} - -void random_scalar_order_test(secp256k1_scalar *num) { - do { - unsigned char b32[32]; - int overflow = 0; - secp256k1_rand256_test(b32); - secp256k1_scalar_set_b32(num, b32, &overflow); - if (overflow || secp256k1_scalar_is_zero(num)) { - continue; - } - break; - } while(1); -} - -void random_scalar_order(secp256k1_scalar *num) { - do { - unsigned char b32[32]; - int overflow = 0; - secp256k1_rand256(b32); - secp256k1_scalar_set_b32(num, b32, &overflow); - if (overflow || secp256k1_scalar_is_zero(num)) { - continue; - } - break; - } while(1); -} - -void run_context_tests(void) { - secp256k1_pubkey pubkey; - secp256k1_ecdsa_signature sig; - unsigned char ctmp[32]; - int32_t ecount; - int32_t ecount2; - secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - secp256k1_context *sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); - secp256k1_context *vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); - secp256k1_context *both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - - secp256k1_gej pubj; - secp256k1_ge pub; - secp256k1_scalar msg, key, nonce; - secp256k1_scalar sigr, sigs; - - ecount = 0; - ecount2 = 10; - secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount2); - secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, NULL); - CHECK(vrfy->error_callback.fn != sign->error_callback.fn); - - /*** clone and destroy all of them to make sure cloning was complete ***/ - { - secp256k1_context *ctx_tmp; - - ctx_tmp = none; none = secp256k1_context_clone(none); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = sign; sign = secp256k1_context_clone(sign); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = vrfy; vrfy = secp256k1_context_clone(vrfy); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = both; both = secp256k1_context_clone(both); secp256k1_context_destroy(ctx_tmp); - } - - /* Verify that the error callback makes it across the clone. */ - CHECK(vrfy->error_callback.fn != sign->error_callback.fn); - /* And that it resets back to default. */ - secp256k1_context_set_error_callback(sign, NULL, NULL); - CHECK(vrfy->error_callback.fn == sign->error_callback.fn); - - /*** attempt to use them ***/ - random_scalar_order_test(&msg); - random_scalar_order_test(&key); - secp256k1_ecmult_gen(&both->ecmult_gen_ctx, &pubj, &key); - secp256k1_ge_set_gej(&pub, &pubj); - - /* Verify context-type checking illegal-argument errors. */ - memset(ctmp, 1, 32); - CHECK(secp256k1_ec_pubkey_create(vrfy, &pubkey, ctmp) == 0); - CHECK(ecount == 1); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(sign, &pubkey, ctmp) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ecdsa_sign(vrfy, &sig, ctmp, ctmp, NULL, NULL) == 0); - CHECK(ecount == 2); - VG_UNDEF(&sig, sizeof(sig)); - CHECK(secp256k1_ecdsa_sign(sign, &sig, ctmp, ctmp, NULL, NULL) == 1); - VG_CHECK(&sig, sizeof(sig)); - CHECK(ecount2 == 10); - CHECK(secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 0); - CHECK(ecount2 == 11); - CHECK(secp256k1_ecdsa_verify(vrfy, &sig, ctmp, &pubkey) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 0); - CHECK(ecount2 == 12); - CHECK(secp256k1_ec_pubkey_tweak_add(vrfy, &pubkey, ctmp) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 0); - CHECK(ecount2 == 13); - CHECK(secp256k1_ec_pubkey_tweak_mul(vrfy, &pubkey, ctmp) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_context_randomize(vrfy, ctmp) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_context_randomize(sign, NULL) == 1); - CHECK(ecount2 == 13); - secp256k1_context_set_illegal_callback(vrfy, NULL, NULL); - secp256k1_context_set_illegal_callback(sign, NULL, NULL); - - /* This shouldn't leak memory, due to already-set tests. */ - secp256k1_ecmult_gen_context_build(&sign->ecmult_gen_ctx, NULL); - secp256k1_ecmult_context_build(&vrfy->ecmult_ctx, NULL); - - /* obtain a working nonce */ - do { - random_scalar_order_test(&nonce); - } while(!secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); - - /* try signing */ - CHECK(secp256k1_ecdsa_sig_sign(&sign->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); - CHECK(secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); - - /* try verifying */ - CHECK(secp256k1_ecdsa_sig_verify(&vrfy->ecmult_ctx, &sigr, &sigs, &pub, &msg)); - CHECK(secp256k1_ecdsa_sig_verify(&both->ecmult_ctx, &sigr, &sigs, &pub, &msg)); - - /* cleanup */ - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(vrfy); - secp256k1_context_destroy(both); - /* Defined as no-op. */ - secp256k1_context_destroy(NULL); -} - -/***** HASH TESTS *****/ - -void run_sha256_tests(void) { - static const char *inputs[8] = { - "", "abc", "message digest", "secure hash algorithm", "SHA256 is considered to be safe", - "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq", - "For this sample, this 63-byte string will be used as input data", - "This is exactly 64 bytes long, not counting the terminating byte" - }; - static const unsigned char outputs[8][32] = { - {0xe3, 0xb0, 0xc4, 0x42, 0x98, 0xfc, 0x1c, 0x14, 0x9a, 0xfb, 0xf4, 0xc8, 0x99, 0x6f, 0xb9, 0x24, 0x27, 0xae, 0x41, 0xe4, 0x64, 0x9b, 0x93, 0x4c, 0xa4, 0x95, 0x99, 0x1b, 0x78, 0x52, 0xb8, 0x55}, - {0xba, 0x78, 0x16, 0xbf, 0x8f, 0x01, 0xcf, 0xea, 0x41, 0x41, 0x40, 0xde, 0x5d, 0xae, 0x22, 0x23, 0xb0, 0x03, 0x61, 0xa3, 0x96, 0x17, 0x7a, 0x9c, 0xb4, 0x10, 0xff, 0x61, 0xf2, 0x00, 0x15, 0xad}, - {0xf7, 0x84, 0x6f, 0x55, 0xcf, 0x23, 0xe1, 0x4e, 0xeb, 0xea, 0xb5, 0xb4, 0xe1, 0x55, 0x0c, 0xad, 0x5b, 0x50, 0x9e, 0x33, 0x48, 0xfb, 0xc4, 0xef, 0xa3, 0xa1, 0x41, 0x3d, 0x39, 0x3c, 0xb6, 0x50}, - {0xf3, 0x0c, 0xeb, 0x2b, 0xb2, 0x82, 0x9e, 0x79, 0xe4, 0xca, 0x97, 0x53, 0xd3, 0x5a, 0x8e, 0xcc, 0x00, 0x26, 0x2d, 0x16, 0x4c, 0xc0, 0x77, 0x08, 0x02, 0x95, 0x38, 0x1c, 0xbd, 0x64, 0x3f, 0x0d}, - {0x68, 0x19, 0xd9, 0x15, 0xc7, 0x3f, 0x4d, 0x1e, 0x77, 0xe4, 0xe1, 0xb5, 0x2d, 0x1f, 0xa0, 0xf9, 0xcf, 0x9b, 0xea, 0xea, 0xd3, 0x93, 0x9f, 0x15, 0x87, 0x4b, 0xd9, 0x88, 0xe2, 0xa2, 0x36, 0x30}, - {0x24, 0x8d, 0x6a, 0x61, 0xd2, 0x06, 0x38, 0xb8, 0xe5, 0xc0, 0x26, 0x93, 0x0c, 0x3e, 0x60, 0x39, 0xa3, 0x3c, 0xe4, 0x59, 0x64, 0xff, 0x21, 0x67, 0xf6, 0xec, 0xed, 0xd4, 0x19, 0xdb, 0x06, 0xc1}, - {0xf0, 0x8a, 0x78, 0xcb, 0xba, 0xee, 0x08, 0x2b, 0x05, 0x2a, 0xe0, 0x70, 0x8f, 0x32, 0xfa, 0x1e, 0x50, 0xc5, 0xc4, 0x21, 0xaa, 0x77, 0x2b, 0xa5, 0xdb, 0xb4, 0x06, 0xa2, 0xea, 0x6b, 0xe3, 0x42}, - {0xab, 0x64, 0xef, 0xf7, 0xe8, 0x8e, 0x2e, 0x46, 0x16, 0x5e, 0x29, 0xf2, 0xbc, 0xe4, 0x18, 0x26, 0xbd, 0x4c, 0x7b, 0x35, 0x52, 0xf6, 0xb3, 0x82, 0xa9, 0xe7, 0xd3, 0xaf, 0x47, 0xc2, 0x45, 0xf8} - }; - int i; - for (i = 0; i < 8; i++) { - unsigned char out[32]; - secp256k1_sha256_t hasher; - secp256k1_sha256_initialize(&hasher); - secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i])); - secp256k1_sha256_finalize(&hasher, out); - CHECK(memcmp(out, outputs[i], 32) == 0); - if (strlen(inputs[i]) > 0) { - int split = secp256k1_rand_int(strlen(inputs[i])); - secp256k1_sha256_initialize(&hasher); - secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split); - secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split); - secp256k1_sha256_finalize(&hasher, out); - CHECK(memcmp(out, outputs[i], 32) == 0); - } - } -} - -void run_hmac_sha256_tests(void) { - static const char *keys[6] = { - "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b", - "\x4a\x65\x66\x65", - "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa", - "\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19", - "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa", - "\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa" - }; - static const char *inputs[6] = { - "\x48\x69\x20\x54\x68\x65\x72\x65", - "\x77\x68\x61\x74\x20\x64\x6f\x20\x79\x61\x20\x77\x61\x6e\x74\x20\x66\x6f\x72\x20\x6e\x6f\x74\x68\x69\x6e\x67\x3f", - "\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd", - "\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd", - "\x54\x65\x73\x74\x20\x55\x73\x69\x6e\x67\x20\x4c\x61\x72\x67\x65\x72\x20\x54\x68\x61\x6e\x20\x42\x6c\x6f\x63\x6b\x2d\x53\x69\x7a\x65\x20\x4b\x65\x79\x20\x2d\x20\x48\x61\x73\x68\x20\x4b\x65\x79\x20\x46\x69\x72\x73\x74", - "\x54\x68\x69\x73\x20\x69\x73\x20\x61\x20\x74\x65\x73\x74\x20\x75\x73\x69\x6e\x67\x20\x61\x20\x6c\x61\x72\x67\x65\x72\x20\x74\x68\x61\x6e\x20\x62\x6c\x6f\x63\x6b\x2d\x73\x69\x7a\x65\x20\x6b\x65\x79\x20\x61\x6e\x64\x20\x61\x20\x6c\x61\x72\x67\x65\x72\x20\x74\x68\x61\x6e\x20\x62\x6c\x6f\x63\x6b\x2d\x73\x69\x7a\x65\x20\x64\x61\x74\x61\x2e\x20\x54\x68\x65\x20\x6b\x65\x79\x20\x6e\x65\x65\x64\x73\x20\x74\x6f\x20\x62\x65\x20\x68\x61\x73\x68\x65\x64\x20\x62\x65\x66\x6f\x72\x65\x20\x62\x65\x69\x6e\x67\x20\x75\x73\x65\x64\x20\x62\x79\x20\x74\x68\x65\x20\x48\x4d\x41\x43\x20\x61\x6c\x67\x6f\x72\x69\x74\x68\x6d\x2e" - }; - static const unsigned char outputs[6][32] = { - {0xb0, 0x34, 0x4c, 0x61, 0xd8, 0xdb, 0x38, 0x53, 0x5c, 0xa8, 0xaf, 0xce, 0xaf, 0x0b, 0xf1, 0x2b, 0x88, 0x1d, 0xc2, 0x00, 0xc9, 0x83, 0x3d, 0xa7, 0x26, 0xe9, 0x37, 0x6c, 0x2e, 0x32, 0xcf, 0xf7}, - {0x5b, 0xdc, 0xc1, 0x46, 0xbf, 0x60, 0x75, 0x4e, 0x6a, 0x04, 0x24, 0x26, 0x08, 0x95, 0x75, 0xc7, 0x5a, 0x00, 0x3f, 0x08, 0x9d, 0x27, 0x39, 0x83, 0x9d, 0xec, 0x58, 0xb9, 0x64, 0xec, 0x38, 0x43}, - {0x77, 0x3e, 0xa9, 0x1e, 0x36, 0x80, 0x0e, 0x46, 0x85, 0x4d, 0xb8, 0xeb, 0xd0, 0x91, 0x81, 0xa7, 0x29, 0x59, 0x09, 0x8b, 0x3e, 0xf8, 0xc1, 0x22, 0xd9, 0x63, 0x55, 0x14, 0xce, 0xd5, 0x65, 0xfe}, - {0x82, 0x55, 0x8a, 0x38, 0x9a, 0x44, 0x3c, 0x0e, 0xa4, 0xcc, 0x81, 0x98, 0x99, 0xf2, 0x08, 0x3a, 0x85, 0xf0, 0xfa, 0xa3, 0xe5, 0x78, 0xf8, 0x07, 0x7a, 0x2e, 0x3f, 0xf4, 0x67, 0x29, 0x66, 0x5b}, - {0x60, 0xe4, 0x31, 0x59, 0x1e, 0xe0, 0xb6, 0x7f, 0x0d, 0x8a, 0x26, 0xaa, 0xcb, 0xf5, 0xb7, 0x7f, 0x8e, 0x0b, 0xc6, 0x21, 0x37, 0x28, 0xc5, 0x14, 0x05, 0x46, 0x04, 0x0f, 0x0e, 0xe3, 0x7f, 0x54}, - {0x9b, 0x09, 0xff, 0xa7, 0x1b, 0x94, 0x2f, 0xcb, 0x27, 0x63, 0x5f, 0xbc, 0xd5, 0xb0, 0xe9, 0x44, 0xbf, 0xdc, 0x63, 0x64, 0x4f, 0x07, 0x13, 0x93, 0x8a, 0x7f, 0x51, 0x53, 0x5c, 0x3a, 0x35, 0xe2} - }; - int i; - for (i = 0; i < 6; i++) { - secp256k1_hmac_sha256_t hasher; - unsigned char out[32]; - secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i])); - secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i])); - secp256k1_hmac_sha256_finalize(&hasher, out); - CHECK(memcmp(out, outputs[i], 32) == 0); - if (strlen(inputs[i]) > 0) { - int split = secp256k1_rand_int(strlen(inputs[i])); - secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i])); - secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split); - secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split); - secp256k1_hmac_sha256_finalize(&hasher, out); - CHECK(memcmp(out, outputs[i], 32) == 0); - } - } -} - -void run_rfc6979_hmac_sha256_tests(void) { - static const unsigned char key1[65] = {0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x00, 0x4b, 0xf5, 0x12, 0x2f, 0x34, 0x45, 0x54, 0xc5, 0x3b, 0xde, 0x2e, 0xbb, 0x8c, 0xd2, 0xb7, 0xe3, 0xd1, 0x60, 0x0a, 0xd6, 0x31, 0xc3, 0x85, 0xa5, 0xd7, 0xcc, 0xe2, 0x3c, 0x77, 0x85, 0x45, 0x9a, 0}; - static const unsigned char out1[3][32] = { - {0x4f, 0xe2, 0x95, 0x25, 0xb2, 0x08, 0x68, 0x09, 0x15, 0x9a, 0xcd, 0xf0, 0x50, 0x6e, 0xfb, 0x86, 0xb0, 0xec, 0x93, 0x2c, 0x7b, 0xa4, 0x42, 0x56, 0xab, 0x32, 0x1e, 0x42, 0x1e, 0x67, 0xe9, 0xfb}, - {0x2b, 0xf0, 0xff, 0xf1, 0xd3, 0xc3, 0x78, 0xa2, 0x2d, 0xc5, 0xde, 0x1d, 0x85, 0x65, 0x22, 0x32, 0x5c, 0x65, 0xb5, 0x04, 0x49, 0x1a, 0x0c, 0xbd, 0x01, 0xcb, 0x8f, 0x3a, 0xa6, 0x7f, 0xfd, 0x4a}, - {0xf5, 0x28, 0xb4, 0x10, 0xcb, 0x54, 0x1f, 0x77, 0x00, 0x0d, 0x7a, 0xfb, 0x6c, 0x5b, 0x53, 0xc5, 0xc4, 0x71, 0xea, 0xb4, 0x3e, 0x46, 0x6d, 0x9a, 0xc5, 0x19, 0x0c, 0x39, 0xc8, 0x2f, 0xd8, 0x2e} - }; - - static const unsigned char key2[64] = {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe3, 0xb0, 0xc4, 0x42, 0x98, 0xfc, 0x1c, 0x14, 0x9a, 0xfb, 0xf4, 0xc8, 0x99, 0x6f, 0xb9, 0x24, 0x27, 0xae, 0x41, 0xe4, 0x64, 0x9b, 0x93, 0x4c, 0xa4, 0x95, 0x99, 0x1b, 0x78, 0x52, 0xb8, 0x55}; - static const unsigned char out2[3][32] = { - {0x9c, 0x23, 0x6c, 0x16, 0x5b, 0x82, 0xae, 0x0c, 0xd5, 0x90, 0x65, 0x9e, 0x10, 0x0b, 0x6b, 0xab, 0x30, 0x36, 0xe7, 0xba, 0x8b, 0x06, 0x74, 0x9b, 0xaf, 0x69, 0x81, 0xe1, 0x6f, 0x1a, 0x2b, 0x95}, - {0xdf, 0x47, 0x10, 0x61, 0x62, 0x5b, 0xc0, 0xea, 0x14, 0xb6, 0x82, 0xfe, 0xee, 0x2c, 0x9c, 0x02, 0xf2, 0x35, 0xda, 0x04, 0x20, 0x4c, 0x1d, 0x62, 0xa1, 0x53, 0x6c, 0x6e, 0x17, 0xae, 0xd7, 0xa9}, - {0x75, 0x97, 0x88, 0x7c, 0xbd, 0x76, 0x32, 0x1f, 0x32, 0xe3, 0x04, 0x40, 0x67, 0x9a, 0x22, 0xcf, 0x7f, 0x8d, 0x9d, 0x2e, 0xac, 0x39, 0x0e, 0x58, 0x1f, 0xea, 0x09, 0x1c, 0xe2, 0x02, 0xba, 0x94} - }; - - secp256k1_rfc6979_hmac_sha256_t rng; - unsigned char out[32]; - int i; - - secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 64); - for (i = 0; i < 3; i++) { - secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32); - CHECK(memcmp(out, out1[i], 32) == 0); - } - secp256k1_rfc6979_hmac_sha256_finalize(&rng); - - secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 65); - for (i = 0; i < 3; i++) { - secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32); - CHECK(memcmp(out, out1[i], 32) != 0); - } - secp256k1_rfc6979_hmac_sha256_finalize(&rng); - - secp256k1_rfc6979_hmac_sha256_initialize(&rng, key2, 64); - for (i = 0; i < 3; i++) { - secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32); - CHECK(memcmp(out, out2[i], 32) == 0); - } - secp256k1_rfc6979_hmac_sha256_finalize(&rng); -} - -/***** RANDOM TESTS *****/ - -void test_rand_bits(int rand32, int bits) { - /* (1-1/2^B)^rounds[B] < 1/10^9, so rounds is the number of iterations to - * get a false negative chance below once in a billion */ - static const unsigned int rounds[7] = {1, 30, 73, 156, 322, 653, 1316}; - /* We try multiplying the results with various odd numbers, which shouldn't - * influence the uniform distribution modulo a power of 2. */ - static const uint32_t mults[6] = {1, 3, 21, 289, 0x9999, 0x80402011}; - /* We only select up to 6 bits from the output to analyse */ - unsigned int usebits = bits > 6 ? 6 : bits; - unsigned int maxshift = bits - usebits; - /* For each of the maxshift+1 usebits-bit sequences inside a bits-bit - number, track all observed outcomes, one per bit in a uint64_t. */ - uint64_t x[6][27] = {{0}}; - unsigned int i, shift, m; - /* Multiply the output of all rand calls with the odd number m, which - should not change the uniformity of its distribution. */ - for (i = 0; i < rounds[usebits]; i++) { - uint32_t r = (rand32 ? secp256k1_rand32() : secp256k1_rand_bits(bits)); - CHECK((((uint64_t)r) >> bits) == 0); - for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) { - uint32_t rm = r * mults[m]; - for (shift = 0; shift <= maxshift; shift++) { - x[m][shift] |= (((uint64_t)1) << ((rm >> shift) & ((1 << usebits) - 1))); - } - } - } - for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) { - for (shift = 0; shift <= maxshift; shift++) { - /* Test that the lower usebits bits of x[shift] are 1 */ - CHECK(((~x[m][shift]) << (64 - (1 << usebits))) == 0); - } - } -} - -/* Subrange must be a whole divisor of range, and at most 64 */ -void test_rand_int(uint32_t range, uint32_t subrange) { - /* (1-1/subrange)^rounds < 1/10^9 */ - int rounds = (subrange * 2073) / 100; - int i; - uint64_t x = 0; - CHECK((range % subrange) == 0); - for (i = 0; i < rounds; i++) { - uint32_t r = secp256k1_rand_int(range); - CHECK(r < range); - r = r % subrange; - x |= (((uint64_t)1) << r); - } - /* Test that the lower subrange bits of x are 1. */ - CHECK(((~x) << (64 - subrange)) == 0); -} - -void run_rand_bits(void) { - size_t b; - test_rand_bits(1, 32); - for (b = 1; b <= 32; b++) { - test_rand_bits(0, b); - } -} - -void run_rand_int(void) { - static const uint32_t ms[] = {1, 3, 17, 1000, 13771, 999999, 33554432}; - static const uint32_t ss[] = {1, 3, 6, 9, 13, 31, 64}; - unsigned int m, s; - for (m = 0; m < sizeof(ms) / sizeof(ms[0]); m++) { - for (s = 0; s < sizeof(ss) / sizeof(ss[0]); s++) { - test_rand_int(ms[m] * ss[s], ss[s]); - } - } -} - -/***** NUM TESTS *****/ - -#ifndef USE_NUM_NONE -void random_num_negate(secp256k1_num *num) { - if (secp256k1_rand_bits(1)) { - secp256k1_num_negate(num); - } -} - -void random_num_order_test(secp256k1_num *num) { - secp256k1_scalar sc; - random_scalar_order_test(&sc); - secp256k1_scalar_get_num(num, &sc); -} - -void random_num_order(secp256k1_num *num) { - secp256k1_scalar sc; - random_scalar_order(&sc); - secp256k1_scalar_get_num(num, &sc); -} - -void test_num_negate(void) { - secp256k1_num n1; - secp256k1_num n2; - random_num_order_test(&n1); /* n1 = R */ - random_num_negate(&n1); - secp256k1_num_copy(&n2, &n1); /* n2 = R */ - secp256k1_num_sub(&n1, &n2, &n1); /* n1 = n2-n1 = 0 */ - CHECK(secp256k1_num_is_zero(&n1)); - secp256k1_num_copy(&n1, &n2); /* n1 = R */ - secp256k1_num_negate(&n1); /* n1 = -R */ - CHECK(!secp256k1_num_is_zero(&n1)); - secp256k1_num_add(&n1, &n2, &n1); /* n1 = n2+n1 = 0 */ - CHECK(secp256k1_num_is_zero(&n1)); - secp256k1_num_copy(&n1, &n2); /* n1 = R */ - secp256k1_num_negate(&n1); /* n1 = -R */ - CHECK(secp256k1_num_is_neg(&n1) != secp256k1_num_is_neg(&n2)); - secp256k1_num_negate(&n1); /* n1 = R */ - CHECK(secp256k1_num_eq(&n1, &n2)); -} - -void test_num_add_sub(void) { - int i; - secp256k1_scalar s; - secp256k1_num n1; - secp256k1_num n2; - secp256k1_num n1p2, n2p1, n1m2, n2m1; - random_num_order_test(&n1); /* n1 = R1 */ - if (secp256k1_rand_bits(1)) { - random_num_negate(&n1); - } - random_num_order_test(&n2); /* n2 = R2 */ - if (secp256k1_rand_bits(1)) { - random_num_negate(&n2); - } - secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = R1 + R2 */ - secp256k1_num_add(&n2p1, &n2, &n1); /* n2p1 = R2 + R1 */ - secp256k1_num_sub(&n1m2, &n1, &n2); /* n1m2 = R1 - R2 */ - secp256k1_num_sub(&n2m1, &n2, &n1); /* n2m1 = R2 - R1 */ - CHECK(secp256k1_num_eq(&n1p2, &n2p1)); - CHECK(!secp256k1_num_eq(&n1p2, &n1m2)); - secp256k1_num_negate(&n2m1); /* n2m1 = -R2 + R1 */ - CHECK(secp256k1_num_eq(&n2m1, &n1m2)); - CHECK(!secp256k1_num_eq(&n2m1, &n1)); - secp256k1_num_add(&n2m1, &n2m1, &n2); /* n2m1 = -R2 + R1 + R2 = R1 */ - CHECK(secp256k1_num_eq(&n2m1, &n1)); - CHECK(!secp256k1_num_eq(&n2p1, &n1)); - secp256k1_num_sub(&n2p1, &n2p1, &n2); /* n2p1 = R2 + R1 - R2 = R1 */ - CHECK(secp256k1_num_eq(&n2p1, &n1)); - - /* check is_one */ - secp256k1_scalar_set_int(&s, 1); - secp256k1_scalar_get_num(&n1, &s); - CHECK(secp256k1_num_is_one(&n1)); - /* check that 2^n + 1 is never 1 */ - secp256k1_scalar_get_num(&n2, &s); - for (i = 0; i < 250; ++i) { - secp256k1_num_add(&n1, &n1, &n1); /* n1 *= 2 */ - secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = n1 + 1 */ - CHECK(!secp256k1_num_is_one(&n1p2)); - } -} - -void test_num_mod(void) { - int i; - secp256k1_scalar s; - secp256k1_num order, n; - - /* check that 0 mod anything is 0 */ - random_scalar_order_test(&s); - secp256k1_scalar_get_num(&order, &s); - secp256k1_scalar_set_int(&s, 0); - secp256k1_scalar_get_num(&n, &s); - secp256k1_num_mod(&n, &order); - CHECK(secp256k1_num_is_zero(&n)); - - /* check that anything mod 1 is 0 */ - secp256k1_scalar_set_int(&s, 1); - secp256k1_scalar_get_num(&order, &s); - secp256k1_scalar_get_num(&n, &s); - secp256k1_num_mod(&n, &order); - CHECK(secp256k1_num_is_zero(&n)); - - /* check that increasing the number past 2^256 does not break this */ - random_scalar_order_test(&s); - secp256k1_scalar_get_num(&n, &s); - /* multiply by 2^8, which'll test this case with high probability */ - for (i = 0; i < 8; ++i) { - secp256k1_num_add(&n, &n, &n); - } - secp256k1_num_mod(&n, &order); - CHECK(secp256k1_num_is_zero(&n)); -} - -void test_num_jacobi(void) { - secp256k1_scalar sqr; - secp256k1_scalar small; - secp256k1_scalar five; /* five is not a quadratic residue */ - secp256k1_num order, n; - int i; - /* squares mod 5 are 1, 4 */ - const int jacobi5[10] = { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1 }; - - /* check some small values with 5 as the order */ - secp256k1_scalar_set_int(&five, 5); - secp256k1_scalar_get_num(&order, &five); - for (i = 0; i < 10; ++i) { - secp256k1_scalar_set_int(&small, i); - secp256k1_scalar_get_num(&n, &small); - CHECK(secp256k1_num_jacobi(&n, &order) == jacobi5[i]); - } - - /** test large values with 5 as group order */ - secp256k1_scalar_get_num(&order, &five); - /* we first need a scalar which is not a multiple of 5 */ - do { - secp256k1_num fiven; - random_scalar_order_test(&sqr); - secp256k1_scalar_get_num(&fiven, &five); - secp256k1_scalar_get_num(&n, &sqr); - secp256k1_num_mod(&n, &fiven); - } while (secp256k1_num_is_zero(&n)); - /* next force it to be a residue. 2 is a nonresidue mod 5 so we can - * just multiply by two, i.e. add the number to itself */ - if (secp256k1_num_jacobi(&n, &order) == -1) { - secp256k1_num_add(&n, &n, &n); - } - - /* test residue */ - CHECK(secp256k1_num_jacobi(&n, &order) == 1); - /* test nonresidue */ - secp256k1_num_add(&n, &n, &n); - CHECK(secp256k1_num_jacobi(&n, &order) == -1); - - /** test with secp group order as order */ - secp256k1_scalar_order_get_num(&order); - random_scalar_order_test(&sqr); - secp256k1_scalar_sqr(&sqr, &sqr); - /* test residue */ - secp256k1_scalar_get_num(&n, &sqr); - CHECK(secp256k1_num_jacobi(&n, &order) == 1); - /* test nonresidue */ - secp256k1_scalar_mul(&sqr, &sqr, &five); - secp256k1_scalar_get_num(&n, &sqr); - CHECK(secp256k1_num_jacobi(&n, &order) == -1); - /* test multiple of the order*/ - CHECK(secp256k1_num_jacobi(&order, &order) == 0); - - /* check one less than the order */ - secp256k1_scalar_set_int(&small, 1); - secp256k1_scalar_get_num(&n, &small); - secp256k1_num_sub(&n, &order, &n); - CHECK(secp256k1_num_jacobi(&n, &order) == 1); /* sage confirms this is 1 */ -} - -void run_num_smalltests(void) { - int i; - for (i = 0; i < 100*count; i++) { - test_num_negate(); - test_num_add_sub(); - test_num_mod(); - test_num_jacobi(); - } -} -#endif - -/***** SCALAR TESTS *****/ - -void scalar_test(void) { - secp256k1_scalar s; - secp256k1_scalar s1; - secp256k1_scalar s2; -#ifndef USE_NUM_NONE - secp256k1_num snum, s1num, s2num; - secp256k1_num order, half_order; -#endif - unsigned char c[32]; - - /* Set 's' to a random scalar, with value 'snum'. */ - random_scalar_order_test(&s); - - /* Set 's1' to a random scalar, with value 's1num'. */ - random_scalar_order_test(&s1); - - /* Set 's2' to a random scalar, with value 'snum2', and byte array representation 'c'. */ - random_scalar_order_test(&s2); - secp256k1_scalar_get_b32(c, &s2); - -#ifndef USE_NUM_NONE - secp256k1_scalar_get_num(&snum, &s); - secp256k1_scalar_get_num(&s1num, &s1); - secp256k1_scalar_get_num(&s2num, &s2); - - secp256k1_scalar_order_get_num(&order); - half_order = order; - secp256k1_num_shift(&half_order, 1); -#endif - - { - int i; - /* Test that fetching groups of 4 bits from a scalar and recursing n(i)=16*n(i-1)+p(i) reconstructs it. */ - secp256k1_scalar n; - secp256k1_scalar_set_int(&n, 0); - for (i = 0; i < 256; i += 4) { - secp256k1_scalar t; - int j; - secp256k1_scalar_set_int(&t, secp256k1_scalar_get_bits(&s, 256 - 4 - i, 4)); - for (j = 0; j < 4; j++) { - secp256k1_scalar_add(&n, &n, &n); - } - secp256k1_scalar_add(&n, &n, &t); - } - CHECK(secp256k1_scalar_eq(&n, &s)); - } - - { - /* Test that fetching groups of randomly-sized bits from a scalar and recursing n(i)=b*n(i-1)+p(i) reconstructs it. */ - secp256k1_scalar n; - int i = 0; - secp256k1_scalar_set_int(&n, 0); - while (i < 256) { - secp256k1_scalar t; - int j; - int now = secp256k1_rand_int(15) + 1; - if (now + i > 256) { - now = 256 - i; - } - secp256k1_scalar_set_int(&t, secp256k1_scalar_get_bits_var(&s, 256 - now - i, now)); - for (j = 0; j < now; j++) { - secp256k1_scalar_add(&n, &n, &n); - } - secp256k1_scalar_add(&n, &n, &t); - i += now; - } - CHECK(secp256k1_scalar_eq(&n, &s)); - } - -#ifndef USE_NUM_NONE - { - /* Test that adding the scalars together is equal to adding their numbers together modulo the order. */ - secp256k1_num rnum; - secp256k1_num r2num; - secp256k1_scalar r; - secp256k1_num_add(&rnum, &snum, &s2num); - secp256k1_num_mod(&rnum, &order); - secp256k1_scalar_add(&r, &s, &s2); - secp256k1_scalar_get_num(&r2num, &r); - CHECK(secp256k1_num_eq(&rnum, &r2num)); - } - - { - /* Test that multiplying the scalars is equal to multiplying their numbers modulo the order. */ - secp256k1_scalar r; - secp256k1_num r2num; - secp256k1_num rnum; - secp256k1_num_mul(&rnum, &snum, &s2num); - secp256k1_num_mod(&rnum, &order); - secp256k1_scalar_mul(&r, &s, &s2); - secp256k1_scalar_get_num(&r2num, &r); - CHECK(secp256k1_num_eq(&rnum, &r2num)); - /* The result can only be zero if at least one of the factors was zero. */ - CHECK(secp256k1_scalar_is_zero(&r) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_zero(&s2))); - /* The results can only be equal to one of the factors if that factor was zero, or the other factor was one. */ - CHECK(secp256k1_num_eq(&rnum, &snum) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_one(&s2))); - CHECK(secp256k1_num_eq(&rnum, &s2num) == (secp256k1_scalar_is_zero(&s2) || secp256k1_scalar_is_one(&s))); - } - - { - secp256k1_scalar neg; - secp256k1_num negnum; - secp256k1_num negnum2; - /* Check that comparison with zero matches comparison with zero on the number. */ - CHECK(secp256k1_num_is_zero(&snum) == secp256k1_scalar_is_zero(&s)); - /* Check that comparison with the half order is equal to testing for high scalar. */ - CHECK(secp256k1_scalar_is_high(&s) == (secp256k1_num_cmp(&snum, &half_order) > 0)); - secp256k1_scalar_negate(&neg, &s); - secp256k1_num_sub(&negnum, &order, &snum); - secp256k1_num_mod(&negnum, &order); - /* Check that comparison with the half order is equal to testing for high scalar after negation. */ - CHECK(secp256k1_scalar_is_high(&neg) == (secp256k1_num_cmp(&negnum, &half_order) > 0)); - /* Negating should change the high property, unless the value was already zero. */ - CHECK((secp256k1_scalar_is_high(&s) == secp256k1_scalar_is_high(&neg)) == secp256k1_scalar_is_zero(&s)); - secp256k1_scalar_get_num(&negnum2, &neg); - /* Negating a scalar should be equal to (order - n) mod order on the number. */ - CHECK(secp256k1_num_eq(&negnum, &negnum2)); - secp256k1_scalar_add(&neg, &neg, &s); - /* Adding a number to its negation should result in zero. */ - CHECK(secp256k1_scalar_is_zero(&neg)); - secp256k1_scalar_negate(&neg, &neg); - /* Negating zero should still result in zero. */ - CHECK(secp256k1_scalar_is_zero(&neg)); - } - - { - /* Test secp256k1_scalar_mul_shift_var. */ - secp256k1_scalar r; - secp256k1_num one; - secp256k1_num rnum; - secp256k1_num rnum2; - unsigned char cone[1] = {0x01}; - unsigned int shift = 256 + secp256k1_rand_int(257); - secp256k1_scalar_mul_shift_var(&r, &s1, &s2, shift); - secp256k1_num_mul(&rnum, &s1num, &s2num); - secp256k1_num_shift(&rnum, shift - 1); - secp256k1_num_set_bin(&one, cone, 1); - secp256k1_num_add(&rnum, &rnum, &one); - secp256k1_num_shift(&rnum, 1); - secp256k1_scalar_get_num(&rnum2, &r); - CHECK(secp256k1_num_eq(&rnum, &rnum2)); - } - - { - /* test secp256k1_scalar_shr_int */ - secp256k1_scalar r; - int i; - random_scalar_order_test(&r); - for (i = 0; i < 100; ++i) { - int low; - int shift = 1 + secp256k1_rand_int(15); - int expected = r.d[0] % (1 << shift); - low = secp256k1_scalar_shr_int(&r, shift); - CHECK(expected == low); - } - } -#endif - - { - /* Test that scalar inverses are equal to the inverse of their number modulo the order. */ - if (!secp256k1_scalar_is_zero(&s)) { - secp256k1_scalar inv; -#ifndef USE_NUM_NONE - secp256k1_num invnum; - secp256k1_num invnum2; -#endif - secp256k1_scalar_inverse(&inv, &s); -#ifndef USE_NUM_NONE - secp256k1_num_mod_inverse(&invnum, &snum, &order); - secp256k1_scalar_get_num(&invnum2, &inv); - CHECK(secp256k1_num_eq(&invnum, &invnum2)); -#endif - secp256k1_scalar_mul(&inv, &inv, &s); - /* Multiplying a scalar with its inverse must result in one. */ - CHECK(secp256k1_scalar_is_one(&inv)); - secp256k1_scalar_inverse(&inv, &inv); - /* Inverting one must result in one. */ - CHECK(secp256k1_scalar_is_one(&inv)); -#ifndef USE_NUM_NONE - secp256k1_scalar_get_num(&invnum, &inv); - CHECK(secp256k1_num_is_one(&invnum)); -#endif - } - } - - { - /* Test commutativity of add. */ - secp256k1_scalar r1, r2; - secp256k1_scalar_add(&r1, &s1, &s2); - secp256k1_scalar_add(&r2, &s2, &s1); - CHECK(secp256k1_scalar_eq(&r1, &r2)); - } - - { - secp256k1_scalar r1, r2; - secp256k1_scalar b; - int i; - /* Test add_bit. */ - int bit = secp256k1_rand_bits(8); - secp256k1_scalar_set_int(&b, 1); - CHECK(secp256k1_scalar_is_one(&b)); - for (i = 0; i < bit; i++) { - secp256k1_scalar_add(&b, &b, &b); - } - r1 = s1; - r2 = s1; - if (!secp256k1_scalar_add(&r1, &r1, &b)) { - /* No overflow happened. */ - secp256k1_scalar_cadd_bit(&r2, bit, 1); - CHECK(secp256k1_scalar_eq(&r1, &r2)); - /* cadd is a noop when flag is zero */ - secp256k1_scalar_cadd_bit(&r2, bit, 0); - CHECK(secp256k1_scalar_eq(&r1, &r2)); - } - } - - { - /* Test commutativity of mul. */ - secp256k1_scalar r1, r2; - secp256k1_scalar_mul(&r1, &s1, &s2); - secp256k1_scalar_mul(&r2, &s2, &s1); - CHECK(secp256k1_scalar_eq(&r1, &r2)); - } - - { - /* Test associativity of add. */ - secp256k1_scalar r1, r2; - secp256k1_scalar_add(&r1, &s1, &s2); - secp256k1_scalar_add(&r1, &r1, &s); - secp256k1_scalar_add(&r2, &s2, &s); - secp256k1_scalar_add(&r2, &s1, &r2); - CHECK(secp256k1_scalar_eq(&r1, &r2)); - } - - { - /* Test associativity of mul. */ - secp256k1_scalar r1, r2; - secp256k1_scalar_mul(&r1, &s1, &s2); - secp256k1_scalar_mul(&r1, &r1, &s); - secp256k1_scalar_mul(&r2, &s2, &s); - secp256k1_scalar_mul(&r2, &s1, &r2); - CHECK(secp256k1_scalar_eq(&r1, &r2)); - } - - { - /* Test distributitivity of mul over add. */ - secp256k1_scalar r1, r2, t; - secp256k1_scalar_add(&r1, &s1, &s2); - secp256k1_scalar_mul(&r1, &r1, &s); - secp256k1_scalar_mul(&r2, &s1, &s); - secp256k1_scalar_mul(&t, &s2, &s); - secp256k1_scalar_add(&r2, &r2, &t); - CHECK(secp256k1_scalar_eq(&r1, &r2)); - } - - { - /* Test square. */ - secp256k1_scalar r1, r2; - secp256k1_scalar_sqr(&r1, &s1); - secp256k1_scalar_mul(&r2, &s1, &s1); - CHECK(secp256k1_scalar_eq(&r1, &r2)); - } - - { - /* Test multiplicative identity. */ - secp256k1_scalar r1, v1; - secp256k1_scalar_set_int(&v1,1); - secp256k1_scalar_mul(&r1, &s1, &v1); - CHECK(secp256k1_scalar_eq(&r1, &s1)); - } - - { - /* Test additive identity. */ - secp256k1_scalar r1, v0; - secp256k1_scalar_set_int(&v0,0); - secp256k1_scalar_add(&r1, &s1, &v0); - CHECK(secp256k1_scalar_eq(&r1, &s1)); - } - - { - /* Test zero product property. */ - secp256k1_scalar r1, v0; - secp256k1_scalar_set_int(&v0,0); - secp256k1_scalar_mul(&r1, &s1, &v0); - CHECK(secp256k1_scalar_eq(&r1, &v0)); - } - -} - -void run_scalar_tests(void) { - int i; - for (i = 0; i < 128 * count; i++) { - scalar_test(); - } - - { - /* (-1)+1 should be zero. */ - secp256k1_scalar s, o; - secp256k1_scalar_set_int(&s, 1); - CHECK(secp256k1_scalar_is_one(&s)); - secp256k1_scalar_negate(&o, &s); - secp256k1_scalar_add(&o, &o, &s); - CHECK(secp256k1_scalar_is_zero(&o)); - secp256k1_scalar_negate(&o, &o); - CHECK(secp256k1_scalar_is_zero(&o)); - } - -#ifndef USE_NUM_NONE - { - /* A scalar with value of the curve order should be 0. */ - secp256k1_num order; - secp256k1_scalar zero; - unsigned char bin[32]; - int overflow = 0; - secp256k1_scalar_order_get_num(&order); - secp256k1_num_get_bin(bin, 32, &order); - secp256k1_scalar_set_b32(&zero, bin, &overflow); - CHECK(overflow == 1); - CHECK(secp256k1_scalar_is_zero(&zero)); - } -#endif - - { - /* Does check_overflow check catch all ones? */ - static const secp256k1_scalar overflowed = SECP256K1_SCALAR_CONST( - 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, - 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL - ); - CHECK(secp256k1_scalar_check_overflow(&overflowed)); - } - - { - /* Static test vectors. - * These were reduced from ~10^12 random vectors based on comparison-decision - * and edge-case coverage on 32-bit and 64-bit implementations. - * The responses were generated with Sage 5.9. - */ - secp256k1_scalar x; - secp256k1_scalar y; - secp256k1_scalar z; - secp256k1_scalar zz; - secp256k1_scalar one; - secp256k1_scalar r1; - secp256k1_scalar r2; -#if defined(USE_SCALAR_INV_NUM) - secp256k1_scalar zzv; -#endif - int overflow; - unsigned char chal[33][2][32] = { - {{0xff, 0xff, 0x03, 0x07, 0x00, 0x00, 0x00, 0x00, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, - 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, 0xff, - 0xff, 0xff, 0x03, 0x00, 0xc0, 0xff, 0xff, 0xff}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0x0f, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff}}, - {{0xef, 0xff, 0x1f, 0x00, 0x00, 0x00, 0x00, 0x00, - 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, - {0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xe0, - 0xff, 0xff, 0xff, 0xff, 0xfc, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0x7f, 0x00, 0x80, 0xff}}, - {{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x06, 0x00, 0x00, - 0x80, 0x00, 0x00, 0x80, 0xff, 0x3f, 0x00, 0x00, - 0x00, 0x00, 0x00, 0xf8, 0xff, 0xff, 0xff, 0x00}, - {0x00, 0x00, 0xfc, 0xff, 0xff, 0xff, 0xff, 0x80, - 0xff, 0xff, 0xff, 0xff, 0xff, 0x0f, 0x00, 0xe0, - 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x7f, 0xff, 0xff, 0xff}}, - {{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x00, 0x1e, 0xf8, 0xff, 0xff, 0xff, 0xfd, 0xff}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, - 0x00, 0x00, 0x00, 0xf8, 0xff, 0x03, 0x00, 0xe0, - 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0xf0, 0xff, - 0xf3, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00}}, - {{0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0x00, - 0x00, 0x1c, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xe0, 0xff, 0xff, 0xff, 0x00, - 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, 0xff}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00, - 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0x1f, 0x00, 0x00, 0x80, 0xff, 0xff, 0x3f, - 0x00, 0xfe, 0xff, 0xff, 0xff, 0xdf, 0xff, 0xff}}, - {{0xff, 0xff, 0xff, 0xff, 0x00, 0x0f, 0xfc, 0x9f, - 0xff, 0xff, 0xff, 0x00, 0x80, 0x00, 0x00, 0x80, - 0xff, 0x0f, 0xfc, 0xff, 0x7f, 0x00, 0x00, 0x00, - 0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}, - {0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, - 0x00, 0x00, 0xf8, 0xff, 0x0f, 0xc0, 0xff, 0xff, - 0xff, 0x1f, 0x00, 0x00, 0x00, 0xc0, 0xff, 0xff, - 0xff, 0xff, 0xff, 0x07, 0x80, 0xff, 0xff, 0xff}}, - {{0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, 0x00, - 0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, - 0xf7, 0xff, 0xff, 0xef, 0xff, 0xff, 0xff, 0x00, - 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0xf0}, - {0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0x01, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}, - {{0x00, 0xf8, 0xff, 0x03, 0xff, 0xff, 0xff, 0x00, - 0x00, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0x03, 0xc0, 0xff, 0x0f, 0xfc, 0xff}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xe0, 0xff, 0xff, - 0xff, 0x01, 0x00, 0x00, 0x00, 0x3f, 0x00, 0xc0, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}, - {{0x8f, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0x7f, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, - {{0x00, 0x00, 0x00, 0xc0, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0x03, 0x00, 0x80, 0x00, 0x00, 0x80, - 0xff, 0xff, 0xff, 0x00, 0x00, 0x80, 0xff, 0x7f}, - {0xff, 0xcf, 0xff, 0xff, 0x01, 0x00, 0x00, 0x00, - 0x00, 0xc0, 0xff, 0xcf, 0xff, 0xff, 0xff, 0xff, - 0xbf, 0xff, 0x0e, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x80, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00}}, - {{0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0xff, 0xff, - 0xff, 0xff, 0x00, 0xfc, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0x00, 0x80, 0x00, 0x00, 0x80, - 0xff, 0x01, 0xfc, 0xff, 0x01, 0x00, 0xfe, 0xff}, - {0xff, 0xff, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xc0, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00}}, - {{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, - 0xe0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0x7f, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80}, - {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0xf8, 0xff, 0x01, 0x00, 0xf0, 0xff, 0xff, - 0xe0, 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, - {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, 0x00}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, - 0xfc, 0xff, 0xff, 0x3f, 0xf0, 0xff, 0xff, 0x3f, - 0x00, 0x00, 0xf8, 0x07, 0x00, 0x00, 0x00, 0xff, - 0xff, 0xff, 0xff, 0xff, 0x0f, 0x7e, 0x00, 0x00}}, - {{0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0x1f, 0x00, 0x00, 0xfe, 0x07, 0x00}, - {0x00, 0x00, 0x00, 0xf0, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xfb, 0xff, 0x07, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x60}}, - {{0xff, 0x01, 0x00, 0xff, 0xff, 0xff, 0x0f, 0x00, - 0x80, 0x7f, 0xfe, 0xff, 0xff, 0xff, 0xff, 0x03, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, - {0xff, 0xff, 0x1f, 0x00, 0xf0, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0x3f, 0x00, 0x00, 0x00, 0x00}}, - {{0x80, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf1, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, - 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, 0xff, 0xff}}, - {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x7e, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0xc0, 0xff, 0xff, 0xcf, 0xff, 0x1f, 0x00, 0x00, - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80}, - {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, 0x7e, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, - {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0xfc, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x7c, 0x00}, - {0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, - 0xff, 0xff, 0x7f, 0x00, 0x80, 0x00, 0x00, 0x00, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x00, 0x00, 0xe0, 0xff, 0xff, 0xff, 0xff, 0xff}}, - {{0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, 0x00, 0x80, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}, - {0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, 0x00, 0x80, - 0xff, 0x01, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, - 0xff, 0x7f, 0xf8, 0xff, 0xff, 0x1f, 0x00, 0xfe}}, - {{0xff, 0xff, 0xff, 0x3f, 0xf8, 0xff, 0xff, 0xff, - 0xff, 0x03, 0xfe, 0x01, 0x00, 0x00, 0x00, 0x00, - 0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x07}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, - 0xff, 0xff, 0xff, 0xff, 0x01, 0x80, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}}, - {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, - 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40}}, - {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}, - {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, - {{0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, - {0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}, - {{0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0xc0, - 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01, 0x00, - 0xf0, 0xff, 0xff, 0xff, 0xff, 0x07, 0x00, 0x00, - 0x00, 0x00, 0x00, 0xfe, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0x01, 0xff, 0xff, 0xff}}, - {{0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, - {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02}}, - {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, - 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40}, - {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}}, - {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0x7e, 0x00, 0x00, 0xc0, 0xff, 0xff, 0x07, 0x00, - 0x80, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x00, - 0xfc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, - {0xff, 0x01, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, 0x00, 0x80, - 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00, 0x00, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}, - {{0xff, 0xff, 0xf0, 0xff, 0xff, 0xff, 0xff, 0x00, - 0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x00, 0xe0, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01, - 0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff}, - {0x00, 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, - 0xff, 0xff, 0x3f, 0x00, 0xf8, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0x3f, 0x00, 0x00, 0xc0, 0xf1, 0x7f, 0x00}}, - {{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0xc0, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0x00}, - {0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, - 0xff, 0x7f, 0x00, 0x00, 0x00, 0x00, 0x80, 0x1f, - 0x00, 0x00, 0xfc, 0xff, 0xff, 0x01, 0xff, 0xff}}, - {{0x00, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x80, 0x00, 0x00, 0x80, 0xff, 0x03, 0xe0, 0x01, - 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0xfc, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}, - {0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, - 0xfe, 0xff, 0xff, 0xf0, 0x07, 0x00, 0x3c, 0x80, - 0xff, 0xff, 0xff, 0xff, 0xfc, 0xff, 0xff, 0xff, - 0xff, 0xff, 0x07, 0xe0, 0xff, 0x00, 0x00, 0x00}}, - {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, - 0xfc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x07, 0xf8, - 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80}, - {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0x0c, 0x80, 0x00, - 0x00, 0x00, 0x00, 0xc0, 0x7f, 0xfe, 0xff, 0x1f, - 0x00, 0xfe, 0xff, 0x03, 0x00, 0x00, 0xfe, 0xff}}, - {{0xff, 0xff, 0x81, 0xff, 0xff, 0xff, 0xff, 0x00, - 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x83, - 0xff, 0xff, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80, - 0xff, 0xff, 0x7f, 0x00, 0x00, 0x00, 0x00, 0xf0}, - {0xff, 0x01, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, 0x00, 0x00, - 0xf8, 0x07, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xc7, 0xff, 0xff, 0xe0, 0xff, 0xff, 0xff}}, - {{0x82, 0xc9, 0xfa, 0xb0, 0x68, 0x04, 0xa0, 0x00, - 0x82, 0xc9, 0xfa, 0xb0, 0x68, 0x04, 0xa0, 0x00, - 0xff, 0xff, 0xff, 0xff, 0xff, 0x6f, 0x03, 0xfb, - 0xfa, 0x8a, 0x7d, 0xdf, 0x13, 0x86, 0xe2, 0x03}, - {0x82, 0xc9, 0xfa, 0xb0, 0x68, 0x04, 0xa0, 0x00, - 0x82, 0xc9, 0xfa, 0xb0, 0x68, 0x04, 0xa0, 0x00, - 0xff, 0xff, 0xff, 0xff, 0xff, 0x6f, 0x03, 0xfb, - 0xfa, 0x8a, 0x7d, 0xdf, 0x13, 0x86, 0xe2, 0x03}} - }; - unsigned char res[33][2][32] = { - {{0x0c, 0x3b, 0x0a, 0xca, 0x8d, 0x1a, 0x2f, 0xb9, - 0x8a, 0x7b, 0x53, 0x5a, 0x1f, 0xc5, 0x22, 0xa1, - 0x07, 0x2a, 0x48, 0xea, 0x02, 0xeb, 0xb3, 0xd6, - 0x20, 0x1e, 0x86, 0xd0, 0x95, 0xf6, 0x92, 0x35}, - {0xdc, 0x90, 0x7a, 0x07, 0x2e, 0x1e, 0x44, 0x6d, - 0xf8, 0x15, 0x24, 0x5b, 0x5a, 0x96, 0x37, 0x9c, - 0x37, 0x7b, 0x0d, 0xac, 0x1b, 0x65, 0x58, 0x49, - 0x43, 0xb7, 0x31, 0xbb, 0xa7, 0xf4, 0x97, 0x15}}, - {{0xf1, 0xf7, 0x3a, 0x50, 0xe6, 0x10, 0xba, 0x22, - 0x43, 0x4d, 0x1f, 0x1f, 0x7c, 0x27, 0xca, 0x9c, - 0xb8, 0xb6, 0xa0, 0xfc, 0xd8, 0xc0, 0x05, 0x2f, - 0xf7, 0x08, 0xe1, 0x76, 0xdd, 0xd0, 0x80, 0xc8}, - {0xe3, 0x80, 0x80, 0xb8, 0xdb, 0xe3, 0xa9, 0x77, - 0x00, 0xb0, 0xf5, 0x2e, 0x27, 0xe2, 0x68, 0xc4, - 0x88, 0xe8, 0x04, 0xc1, 0x12, 0xbf, 0x78, 0x59, - 0xe6, 0xa9, 0x7c, 0xe1, 0x81, 0xdd, 0xb9, 0xd5}}, - {{0x96, 0xe2, 0xee, 0x01, 0xa6, 0x80, 0x31, 0xef, - 0x5c, 0xd0, 0x19, 0xb4, 0x7d, 0x5f, 0x79, 0xab, - 0xa1, 0x97, 0xd3, 0x7e, 0x33, 0xbb, 0x86, 0x55, - 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0xba, 0x13, 0xfd, 0x78, 0x1e, 0x3f, 0x6f, 0x62}}, - {{0x25, 0x9b, 0x7c, 0xb0, 0xac, 0x72, 0x6f, 0xb2, - 0xe3, 0x53, 0x84, 0x7a, 0x1a, 0x9a, 0x98, 0x9b, - 0x44, 0xd3, 0x59, 0xd0, 0x8e, 0x57, 0x41, 0x40, - 0x78, 0xa7, 0x30, 0x2f, 0x4c, 0x9c, 0xb9, 0x68}, - {0xb7, 0x75, 0x03, 0x63, 0x61, 0xc2, 0x48, 0x6e, - 0x12, 0x3d, 0xbf, 0x4b, 0x27, 0xdf, 0xb1, 0x7a, - 0xff, 0x4e, 0x31, 0x07, 0x83, 0xf4, 0x62, 0x5b, - 0x19, 0xa5, 0xac, 0xa0, 0x32, 0x58, 0x0d, 0xa7}}, - {{0x43, 0x4f, 0x10, 0xa4, 0xca, 0xdb, 0x38, 0x67, - 0xfa, 0xae, 0x96, 0xb5, 0x6d, 0x97, 0xff, 0x1f, - 0xb6, 0x83, 0x43, 0xd3, 0xa0, 0x2d, 0x70, 0x7a, - 0x64, 0x05, 0x4c, 0xa7, 0xc1, 0xa5, 0x21, 0x51}, - {0xe4, 0xf1, 0x23, 0x84, 0xe1, 0xb5, 0x9d, 0xf2, - 0xb8, 0x73, 0x8b, 0x45, 0x2b, 0x35, 0x46, 0x38, - 0x10, 0x2b, 0x50, 0xf8, 0x8b, 0x35, 0xcd, 0x34, - 0xc8, 0x0e, 0xf6, 0xdb, 0x09, 0x35, 0xf0, 0xda}}, - {{0xdb, 0x21, 0x5c, 0x8d, 0x83, 0x1d, 0xb3, 0x34, - 0xc7, 0x0e, 0x43, 0xa1, 0x58, 0x79, 0x67, 0x13, - 0x1e, 0x86, 0x5d, 0x89, 0x63, 0xe6, 0x0a, 0x46, - 0x5c, 0x02, 0x97, 0x1b, 0x62, 0x43, 0x86, 0xf5}, - {0xdb, 0x21, 0x5c, 0x8d, 0x83, 0x1d, 0xb3, 0x34, - 0xc7, 0x0e, 0x43, 0xa1, 0x58, 0x79, 0x67, 0x13, - 0x1e, 0x86, 0x5d, 0x89, 0x63, 0xe6, 0x0a, 0x46, - 0x5c, 0x02, 0x97, 0x1b, 0x62, 0x43, 0x86, 0xf5}} - }; - secp256k1_scalar_set_int(&one, 1); - for (i = 0; i < 33; i++) { - secp256k1_scalar_set_b32(&x, chal[i][0], &overflow); - CHECK(!overflow); - secp256k1_scalar_set_b32(&y, chal[i][1], &overflow); - CHECK(!overflow); - secp256k1_scalar_set_b32(&r1, res[i][0], &overflow); - CHECK(!overflow); - secp256k1_scalar_set_b32(&r2, res[i][1], &overflow); - CHECK(!overflow); - secp256k1_scalar_mul(&z, &x, &y); - CHECK(!secp256k1_scalar_check_overflow(&z)); - CHECK(secp256k1_scalar_eq(&r1, &z)); - if (!secp256k1_scalar_is_zero(&y)) { - secp256k1_scalar_inverse(&zz, &y); - CHECK(!secp256k1_scalar_check_overflow(&zz)); -#if defined(USE_SCALAR_INV_NUM) - secp256k1_scalar_inverse_var(&zzv, &y); - CHECK(secp256k1_scalar_eq(&zzv, &zz)); -#endif - secp256k1_scalar_mul(&z, &z, &zz); - CHECK(!secp256k1_scalar_check_overflow(&z)); - CHECK(secp256k1_scalar_eq(&x, &z)); - secp256k1_scalar_mul(&zz, &zz, &y); - CHECK(!secp256k1_scalar_check_overflow(&zz)); - CHECK(secp256k1_scalar_eq(&one, &zz)); - } - secp256k1_scalar_mul(&z, &x, &x); - CHECK(!secp256k1_scalar_check_overflow(&z)); - secp256k1_scalar_sqr(&zz, &x); - CHECK(!secp256k1_scalar_check_overflow(&zz)); - CHECK(secp256k1_scalar_eq(&zz, &z)); - CHECK(secp256k1_scalar_eq(&r2, &zz)); - } - } -} - -/***** FIELD TESTS *****/ - -void random_fe(secp256k1_fe *x) { - unsigned char bin[32]; - do { - secp256k1_rand256(bin); - if (secp256k1_fe_set_b32(x, bin)) { - return; - } - } while(1); -} - -void random_fe_test(secp256k1_fe *x) { - unsigned char bin[32]; - do { - secp256k1_rand256_test(bin); - if (secp256k1_fe_set_b32(x, bin)) { - return; - } - } while(1); -} - -void random_fe_non_zero(secp256k1_fe *nz) { - int tries = 10; - while (--tries >= 0) { - random_fe(nz); - secp256k1_fe_normalize(nz); - if (!secp256k1_fe_is_zero(nz)) { - break; - } - } - /* Infinitesimal probability of spurious failure here */ - CHECK(tries >= 0); -} - -void random_fe_non_square(secp256k1_fe *ns) { - secp256k1_fe r; - random_fe_non_zero(ns); - if (secp256k1_fe_sqrt(&r, ns)) { - secp256k1_fe_negate(ns, ns, 1); - } -} - -int check_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { - secp256k1_fe an = *a; - secp256k1_fe bn = *b; - secp256k1_fe_normalize_weak(&an); - secp256k1_fe_normalize_var(&bn); - return secp256k1_fe_equal_var(&an, &bn); -} - -int check_fe_inverse(const secp256k1_fe *a, const secp256k1_fe *ai) { - secp256k1_fe x; - secp256k1_fe one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); - secp256k1_fe_mul(&x, a, ai); - return check_fe_equal(&x, &one); -} - -void run_field_convert(void) { - static const unsigned char b32[32] = { - 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, - 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, - 0x22, 0x23, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, - 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x40 - }; - static const secp256k1_fe_storage fes = SECP256K1_FE_STORAGE_CONST( - 0x00010203UL, 0x04050607UL, 0x11121314UL, 0x15161718UL, - 0x22232425UL, 0x26272829UL, 0x33343536UL, 0x37383940UL - ); - static const secp256k1_fe fe = SECP256K1_FE_CONST( - 0x00010203UL, 0x04050607UL, 0x11121314UL, 0x15161718UL, - 0x22232425UL, 0x26272829UL, 0x33343536UL, 0x37383940UL - ); - secp256k1_fe fe2; - unsigned char b322[32]; - secp256k1_fe_storage fes2; - /* Check conversions to fe. */ - CHECK(secp256k1_fe_set_b32(&fe2, b32)); - CHECK(secp256k1_fe_equal_var(&fe, &fe2)); - secp256k1_fe_from_storage(&fe2, &fes); - CHECK(secp256k1_fe_equal_var(&fe, &fe2)); - /* Check conversion from fe. */ - secp256k1_fe_get_b32(b322, &fe); - CHECK(memcmp(b322, b32, 32) == 0); - secp256k1_fe_to_storage(&fes2, &fe); - CHECK(memcmp(&fes2, &fes, sizeof(fes)) == 0); -} - -int fe_memcmp(const secp256k1_fe *a, const secp256k1_fe *b) { - secp256k1_fe t = *b; -#ifdef VERIFY - t.magnitude = a->magnitude; - t.normalized = a->normalized; -#endif - return memcmp(a, &t, sizeof(secp256k1_fe)); -} - -void run_field_misc(void) { - secp256k1_fe x; - secp256k1_fe y; - secp256k1_fe z; - secp256k1_fe q; - secp256k1_fe fe5 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 5); - int i, j; - for (i = 0; i < 5*count; i++) { - secp256k1_fe_storage xs, ys, zs; - random_fe(&x); - random_fe_non_zero(&y); - /* Test the fe equality and comparison operations. */ - CHECK(secp256k1_fe_cmp_var(&x, &x) == 0); - CHECK(secp256k1_fe_equal_var(&x, &x)); - z = x; - secp256k1_fe_add(&z,&y); - /* Test fe conditional move; z is not normalized here. */ - q = x; - secp256k1_fe_cmov(&x, &z, 0); - VERIFY_CHECK(!x.normalized && x.magnitude == z.magnitude); - secp256k1_fe_cmov(&x, &x, 1); - CHECK(fe_memcmp(&x, &z) != 0); - CHECK(fe_memcmp(&x, &q) == 0); - secp256k1_fe_cmov(&q, &z, 1); - VERIFY_CHECK(!q.normalized && q.magnitude == z.magnitude); - CHECK(fe_memcmp(&q, &z) == 0); - secp256k1_fe_normalize_var(&x); - secp256k1_fe_normalize_var(&z); - CHECK(!secp256k1_fe_equal_var(&x, &z)); - secp256k1_fe_normalize_var(&q); - secp256k1_fe_cmov(&q, &z, (i&1)); - VERIFY_CHECK(q.normalized && q.magnitude == 1); - for (j = 0; j < 6; j++) { - secp256k1_fe_negate(&z, &z, j+1); - secp256k1_fe_normalize_var(&q); - secp256k1_fe_cmov(&q, &z, (j&1)); - VERIFY_CHECK(!q.normalized && q.magnitude == (j+2)); - } - secp256k1_fe_normalize_var(&z); - /* Test storage conversion and conditional moves. */ - secp256k1_fe_to_storage(&xs, &x); - secp256k1_fe_to_storage(&ys, &y); - secp256k1_fe_to_storage(&zs, &z); - secp256k1_fe_storage_cmov(&zs, &xs, 0); - secp256k1_fe_storage_cmov(&zs, &zs, 1); - CHECK(memcmp(&xs, &zs, sizeof(xs)) != 0); - secp256k1_fe_storage_cmov(&ys, &xs, 1); - CHECK(memcmp(&xs, &ys, sizeof(xs)) == 0); - secp256k1_fe_from_storage(&x, &xs); - secp256k1_fe_from_storage(&y, &ys); - secp256k1_fe_from_storage(&z, &zs); - /* Test that mul_int, mul, and add agree. */ - secp256k1_fe_add(&y, &x); - secp256k1_fe_add(&y, &x); - z = x; - secp256k1_fe_mul_int(&z, 3); - CHECK(check_fe_equal(&y, &z)); - secp256k1_fe_add(&y, &x); - secp256k1_fe_add(&z, &x); - CHECK(check_fe_equal(&z, &y)); - z = x; - secp256k1_fe_mul_int(&z, 5); - secp256k1_fe_mul(&q, &x, &fe5); - CHECK(check_fe_equal(&z, &q)); - secp256k1_fe_negate(&x, &x, 1); - secp256k1_fe_add(&z, &x); - secp256k1_fe_add(&q, &x); - CHECK(check_fe_equal(&y, &z)); - CHECK(check_fe_equal(&q, &y)); - } -} - -void run_field_inv(void) { - secp256k1_fe x, xi, xii; - int i; - for (i = 0; i < 10*count; i++) { - random_fe_non_zero(&x); - secp256k1_fe_inv(&xi, &x); - CHECK(check_fe_inverse(&x, &xi)); - secp256k1_fe_inv(&xii, &xi); - CHECK(check_fe_equal(&x, &xii)); - } -} - -void run_field_inv_var(void) { - secp256k1_fe x, xi, xii; - int i; - for (i = 0; i < 10*count; i++) { - random_fe_non_zero(&x); - secp256k1_fe_inv_var(&xi, &x); - CHECK(check_fe_inverse(&x, &xi)); - secp256k1_fe_inv_var(&xii, &xi); - CHECK(check_fe_equal(&x, &xii)); - } -} - -void run_field_inv_all_var(void) { - secp256k1_fe x[16], xi[16], xii[16]; - int i; - /* Check it's safe to call for 0 elements */ - secp256k1_fe_inv_all_var(xi, x, 0); - for (i = 0; i < count; i++) { - size_t j; - size_t len = secp256k1_rand_int(15) + 1; - for (j = 0; j < len; j++) { - random_fe_non_zero(&x[j]); - } - secp256k1_fe_inv_all_var(xi, x, len); - for (j = 0; j < len; j++) { - CHECK(check_fe_inverse(&x[j], &xi[j])); - } - secp256k1_fe_inv_all_var(xii, xi, len); - for (j = 0; j < len; j++) { - CHECK(check_fe_equal(&x[j], &xii[j])); - } - } -} - -void run_sqr(void) { - secp256k1_fe x, s; - - { - int i; - secp256k1_fe_set_int(&x, 1); - secp256k1_fe_negate(&x, &x, 1); - - for (i = 1; i <= 512; ++i) { - secp256k1_fe_mul_int(&x, 2); - secp256k1_fe_normalize(&x); - secp256k1_fe_sqr(&s, &x); - } - } -} - -void test_sqrt(const secp256k1_fe *a, const secp256k1_fe *k) { - secp256k1_fe r1, r2; - int v = secp256k1_fe_sqrt(&r1, a); - CHECK((v == 0) == (k == NULL)); - - if (k != NULL) { - /* Check that the returned root is +/- the given known answer */ - secp256k1_fe_negate(&r2, &r1, 1); - secp256k1_fe_add(&r1, k); secp256k1_fe_add(&r2, k); - secp256k1_fe_normalize(&r1); secp256k1_fe_normalize(&r2); - CHECK(secp256k1_fe_is_zero(&r1) || secp256k1_fe_is_zero(&r2)); - } -} - -void run_sqrt(void) { - secp256k1_fe ns, x, s, t; - int i; - - /* Check sqrt(0) is 0 */ - secp256k1_fe_set_int(&x, 0); - secp256k1_fe_sqr(&s, &x); - test_sqrt(&s, &x); - - /* Check sqrt of small squares (and their negatives) */ - for (i = 1; i <= 100; i++) { - secp256k1_fe_set_int(&x, i); - secp256k1_fe_sqr(&s, &x); - test_sqrt(&s, &x); - secp256k1_fe_negate(&t, &s, 1); - test_sqrt(&t, NULL); - } - - /* Consistency checks for large random values */ - for (i = 0; i < 10; i++) { - int j; - random_fe_non_square(&ns); - for (j = 0; j < count; j++) { - random_fe(&x); - secp256k1_fe_sqr(&s, &x); - test_sqrt(&s, &x); - secp256k1_fe_negate(&t, &s, 1); - test_sqrt(&t, NULL); - secp256k1_fe_mul(&t, &s, &ns); - test_sqrt(&t, NULL); - } - } -} - -/***** GROUP TESTS *****/ - -void ge_equals_ge(const secp256k1_ge *a, const secp256k1_ge *b) { - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; - } - CHECK(secp256k1_fe_equal_var(&a->x, &b->x)); - CHECK(secp256k1_fe_equal_var(&a->y, &b->y)); -} - -/* This compares jacobian points including their Z, not just their geometric meaning. */ -int gej_xyz_equals_gej(const secp256k1_gej *a, const secp256k1_gej *b) { - secp256k1_gej a2; - secp256k1_gej b2; - int ret = 1; - ret &= a->infinity == b->infinity; - if (ret && !a->infinity) { - a2 = *a; - b2 = *b; - secp256k1_fe_normalize(&a2.x); - secp256k1_fe_normalize(&a2.y); - secp256k1_fe_normalize(&a2.z); - secp256k1_fe_normalize(&b2.x); - secp256k1_fe_normalize(&b2.y); - secp256k1_fe_normalize(&b2.z); - ret &= secp256k1_fe_cmp_var(&a2.x, &b2.x) == 0; - ret &= secp256k1_fe_cmp_var(&a2.y, &b2.y) == 0; - ret &= secp256k1_fe_cmp_var(&a2.z, &b2.z) == 0; - } - return ret; -} - -void ge_equals_gej(const secp256k1_ge *a, const secp256k1_gej *b) { - secp256k1_fe z2s; - secp256k1_fe u1, u2, s1, s2; - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; - } - /* Check a.x * b.z^2 == b.x && a.y * b.z^3 == b.y, to avoid inverses. */ - secp256k1_fe_sqr(&z2s, &b->z); - secp256k1_fe_mul(&u1, &a->x, &z2s); - u2 = b->x; secp256k1_fe_normalize_weak(&u2); - secp256k1_fe_mul(&s1, &a->y, &z2s); secp256k1_fe_mul(&s1, &s1, &b->z); - s2 = b->y; secp256k1_fe_normalize_weak(&s2); - CHECK(secp256k1_fe_equal_var(&u1, &u2)); - CHECK(secp256k1_fe_equal_var(&s1, &s2)); -} - -void test_ge(void) { - int i, i1; -#ifdef USE_ENDOMORPHISM - int runs = 6; -#else - int runs = 4; -#endif - /* Points: (infinity, p1, p1, -p1, -p1, p2, p2, -p2, -p2, p3, p3, -p3, -p3, p4, p4, -p4, -p4). - * The second in each pair of identical points uses a random Z coordinate in the Jacobian form. - * All magnitudes are randomized. - * All 17*17 combinations of points are added to each other, using all applicable methods. - * - * When the endomorphism code is compiled in, p5 = lambda*p1 and p6 = lambda^2*p1 are added as well. - */ - secp256k1_ge *ge = (secp256k1_ge *)malloc(sizeof(secp256k1_ge) * (1 + 4 * runs)); - secp256k1_gej *gej = (secp256k1_gej *)malloc(sizeof(secp256k1_gej) * (1 + 4 * runs)); - secp256k1_fe *zinv = (secp256k1_fe *)malloc(sizeof(secp256k1_fe) * (1 + 4 * runs)); - secp256k1_fe zf; - secp256k1_fe zfi2, zfi3; - - secp256k1_gej_set_infinity(&gej[0]); - secp256k1_ge_clear(&ge[0]); - secp256k1_ge_set_gej_var(&ge[0], &gej[0]); - for (i = 0; i < runs; i++) { - int j; - secp256k1_ge g; - random_group_element_test(&g); -#ifdef USE_ENDOMORPHISM - if (i >= runs - 2) { - secp256k1_ge_mul_lambda(&g, &ge[1]); - } - if (i >= runs - 1) { - secp256k1_ge_mul_lambda(&g, &g); - } -#endif - ge[1 + 4 * i] = g; - ge[2 + 4 * i] = g; - secp256k1_ge_neg(&ge[3 + 4 * i], &g); - secp256k1_ge_neg(&ge[4 + 4 * i], &g); - secp256k1_gej_set_ge(&gej[1 + 4 * i], &ge[1 + 4 * i]); - random_group_element_jacobian_test(&gej[2 + 4 * i], &ge[2 + 4 * i]); - secp256k1_gej_set_ge(&gej[3 + 4 * i], &ge[3 + 4 * i]); - random_group_element_jacobian_test(&gej[4 + 4 * i], &ge[4 + 4 * i]); - for (j = 0; j < 4; j++) { - random_field_element_magnitude(&ge[1 + j + 4 * i].x); - random_field_element_magnitude(&ge[1 + j + 4 * i].y); - random_field_element_magnitude(&gej[1 + j + 4 * i].x); - random_field_element_magnitude(&gej[1 + j + 4 * i].y); - random_field_element_magnitude(&gej[1 + j + 4 * i].z); - } - } - - /* Compute z inverses. */ - { - secp256k1_fe *zs = malloc(sizeof(secp256k1_fe) * (1 + 4 * runs)); - for (i = 0; i < 4 * runs + 1; i++) { - if (i == 0) { - /* The point at infinity does not have a meaningful z inverse. Any should do. */ - do { - random_field_element_test(&zs[i]); - } while(secp256k1_fe_is_zero(&zs[i])); - } else { - zs[i] = gej[i].z; - } - } - secp256k1_fe_inv_all_var(zinv, zs, 4 * runs + 1); - free(zs); - } - - /* Generate random zf, and zfi2 = 1/zf^2, zfi3 = 1/zf^3 */ - do { - random_field_element_test(&zf); - } while(secp256k1_fe_is_zero(&zf)); - random_field_element_magnitude(&zf); - secp256k1_fe_inv_var(&zfi3, &zf); - secp256k1_fe_sqr(&zfi2, &zfi3); - secp256k1_fe_mul(&zfi3, &zfi3, &zfi2); - - for (i1 = 0; i1 < 1 + 4 * runs; i1++) { - int i2; - for (i2 = 0; i2 < 1 + 4 * runs; i2++) { - /* Compute reference result using gej + gej (var). */ - secp256k1_gej refj, resj; - secp256k1_ge ref; - secp256k1_fe zr; - secp256k1_gej_add_var(&refj, &gej[i1], &gej[i2], secp256k1_gej_is_infinity(&gej[i1]) ? NULL : &zr); - /* Check Z ratio. */ - if (!secp256k1_gej_is_infinity(&gej[i1]) && !secp256k1_gej_is_infinity(&refj)) { - secp256k1_fe zrz; secp256k1_fe_mul(&zrz, &zr, &gej[i1].z); - CHECK(secp256k1_fe_equal_var(&zrz, &refj.z)); - } - secp256k1_ge_set_gej_var(&ref, &refj); - - /* Test gej + ge with Z ratio result (var). */ - secp256k1_gej_add_ge_var(&resj, &gej[i1], &ge[i2], secp256k1_gej_is_infinity(&gej[i1]) ? NULL : &zr); - ge_equals_gej(&ref, &resj); - if (!secp256k1_gej_is_infinity(&gej[i1]) && !secp256k1_gej_is_infinity(&resj)) { - secp256k1_fe zrz; secp256k1_fe_mul(&zrz, &zr, &gej[i1].z); - CHECK(secp256k1_fe_equal_var(&zrz, &resj.z)); - } - - /* Test gej + ge (var, with additional Z factor). */ - { - secp256k1_ge ge2_zfi = ge[i2]; /* the second term with x and y rescaled for z = 1/zf */ - secp256k1_fe_mul(&ge2_zfi.x, &ge2_zfi.x, &zfi2); - secp256k1_fe_mul(&ge2_zfi.y, &ge2_zfi.y, &zfi3); - random_field_element_magnitude(&ge2_zfi.x); - random_field_element_magnitude(&ge2_zfi.y); - secp256k1_gej_add_zinv_var(&resj, &gej[i1], &ge2_zfi, &zf); - ge_equals_gej(&ref, &resj); - } - - /* Test gej + ge (const). */ - if (i2 != 0) { - /* secp256k1_gej_add_ge does not support its second argument being infinity. */ - secp256k1_gej_add_ge(&resj, &gej[i1], &ge[i2]); - ge_equals_gej(&ref, &resj); - } - - /* Test doubling (var). */ - if ((i1 == 0 && i2 == 0) || ((i1 + 3)/4 == (i2 + 3)/4 && ((i1 + 3)%4)/2 == ((i2 + 3)%4)/2)) { - secp256k1_fe zr2; - /* Normal doubling with Z ratio result. */ - secp256k1_gej_double_var(&resj, &gej[i1], &zr2); - ge_equals_gej(&ref, &resj); - /* Check Z ratio. */ - secp256k1_fe_mul(&zr2, &zr2, &gej[i1].z); - CHECK(secp256k1_fe_equal_var(&zr2, &resj.z)); - /* Normal doubling. */ - secp256k1_gej_double_var(&resj, &gej[i2], NULL); - ge_equals_gej(&ref, &resj); - } - - /* Test adding opposites. */ - if ((i1 == 0 && i2 == 0) || ((i1 + 3)/4 == (i2 + 3)/4 && ((i1 + 3)%4)/2 != ((i2 + 3)%4)/2)) { - CHECK(secp256k1_ge_is_infinity(&ref)); - } - - /* Test adding infinity. */ - if (i1 == 0) { - CHECK(secp256k1_ge_is_infinity(&ge[i1])); - CHECK(secp256k1_gej_is_infinity(&gej[i1])); - ge_equals_gej(&ref, &gej[i2]); - } - if (i2 == 0) { - CHECK(secp256k1_ge_is_infinity(&ge[i2])); - CHECK(secp256k1_gej_is_infinity(&gej[i2])); - ge_equals_gej(&ref, &gej[i1]); - } - } - } - - /* Test adding all points together in random order equals infinity. */ - { - secp256k1_gej sum = SECP256K1_GEJ_CONST_INFINITY; - secp256k1_gej *gej_shuffled = (secp256k1_gej *)malloc((4 * runs + 1) * sizeof(secp256k1_gej)); - for (i = 0; i < 4 * runs + 1; i++) { - gej_shuffled[i] = gej[i]; - } - for (i = 0; i < 4 * runs + 1; i++) { - int swap = i + secp256k1_rand_int(4 * runs + 1 - i); - if (swap != i) { - secp256k1_gej t = gej_shuffled[i]; - gej_shuffled[i] = gej_shuffled[swap]; - gej_shuffled[swap] = t; - } - } - for (i = 0; i < 4 * runs + 1; i++) { - secp256k1_gej_add_var(&sum, &sum, &gej_shuffled[i], NULL); - } - CHECK(secp256k1_gej_is_infinity(&sum)); - free(gej_shuffled); - } - - /* Test batch gej -> ge conversion with and without known z ratios. */ - { - secp256k1_fe *zr = (secp256k1_fe *)malloc((4 * runs + 1) * sizeof(secp256k1_fe)); - secp256k1_ge *ge_set_table = (secp256k1_ge *)malloc((4 * runs + 1) * sizeof(secp256k1_ge)); - secp256k1_ge *ge_set_all = (secp256k1_ge *)malloc((4 * runs + 1) * sizeof(secp256k1_ge)); - for (i = 0; i < 4 * runs + 1; i++) { - /* Compute gej[i + 1].z / gez[i].z (with gej[n].z taken to be 1). */ - if (i < 4 * runs) { - secp256k1_fe_mul(&zr[i + 1], &zinv[i], &gej[i + 1].z); - } - } - secp256k1_ge_set_table_gej_var(ge_set_table, gej, zr, 4 * runs + 1); - secp256k1_ge_set_all_gej_var(ge_set_all, gej, 4 * runs + 1, &ctx->error_callback); - for (i = 0; i < 4 * runs + 1; i++) { - secp256k1_fe s; - random_fe_non_zero(&s); - secp256k1_gej_rescale(&gej[i], &s); - ge_equals_gej(&ge_set_table[i], &gej[i]); - ge_equals_gej(&ge_set_all[i], &gej[i]); - } - free(ge_set_table); - free(ge_set_all); - free(zr); - } - - free(ge); - free(gej); - free(zinv); -} - -void test_add_neg_y_diff_x(void) { - /* The point of this test is to check that we can add two points - * whose y-coordinates are negatives of each other but whose x - * coordinates differ. If the x-coordinates were the same, these - * points would be negatives of each other and their sum is - * infinity. This is cool because it "covers up" any degeneracy - * in the addition algorithm that would cause the xy coordinates - * of the sum to be wrong (since infinity has no xy coordinates). - * HOWEVER, if the x-coordinates are different, infinity is the - * wrong answer, and such degeneracies are exposed. This is the - * root of https://github.com/bitcoin-core/secp256k1/issues/257 - * which this test is a regression test for. - * - * These points were generated in sage as - * # secp256k1 params - * F = FiniteField (0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F) - * C = EllipticCurve ([F (0), F (7)]) - * G = C.lift_x(0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798) - * N = FiniteField(G.order()) - * - * # endomorphism values (lambda is 1^{1/3} in N, beta is 1^{1/3} in F) - * x = polygen(N) - * lam = (1 - x^3).roots()[1][0] - * - * # random "bad pair" - * P = C.random_element() - * Q = -int(lam) * P - * print " P: %x %x" % P.xy() - * print " Q: %x %x" % Q.xy() - * print "P + Q: %x %x" % (P + Q).xy() - */ - secp256k1_gej aj = SECP256K1_GEJ_CONST( - 0x8d24cd95, 0x0a355af1, 0x3c543505, 0x44238d30, - 0x0643d79f, 0x05a59614, 0x2f8ec030, 0xd58977cb, - 0x001e337a, 0x38093dcd, 0x6c0f386d, 0x0b1293a8, - 0x4d72c879, 0xd7681924, 0x44e6d2f3, 0x9190117d - ); - secp256k1_gej bj = SECP256K1_GEJ_CONST( - 0xc7b74206, 0x1f788cd9, 0xabd0937d, 0x164a0d86, - 0x95f6ff75, 0xf19a4ce9, 0xd013bd7b, 0xbf92d2a7, - 0xffe1cc85, 0xc7f6c232, 0x93f0c792, 0xf4ed6c57, - 0xb28d3786, 0x2897e6db, 0xbb192d0b, 0x6e6feab2 - ); - secp256k1_gej sumj = SECP256K1_GEJ_CONST( - 0x671a63c0, 0x3efdad4c, 0x389a7798, 0x24356027, - 0xb3d69010, 0x278625c3, 0x5c86d390, 0x184a8f7a, - 0x5f6409c2, 0x2ce01f2b, 0x511fd375, 0x25071d08, - 0xda651801, 0x70e95caf, 0x8f0d893c, 0xbed8fbbe - ); - secp256k1_ge b; - secp256k1_gej resj; - secp256k1_ge res; - secp256k1_ge_set_gej(&b, &bj); - - secp256k1_gej_add_var(&resj, &aj, &bj, NULL); - secp256k1_ge_set_gej(&res, &resj); - ge_equals_gej(&res, &sumj); - - secp256k1_gej_add_ge(&resj, &aj, &b); - secp256k1_ge_set_gej(&res, &resj); - ge_equals_gej(&res, &sumj); - - secp256k1_gej_add_ge_var(&resj, &aj, &b, NULL); - secp256k1_ge_set_gej(&res, &resj); - ge_equals_gej(&res, &sumj); -} - -void run_ge(void) { - int i; - for (i = 0; i < count * 32; i++) { - test_ge(); - } - test_add_neg_y_diff_x(); -} - -void test_ec_combine(void) { - secp256k1_scalar sum = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - secp256k1_pubkey data[6]; - const secp256k1_pubkey* d[6]; - secp256k1_pubkey sd; - secp256k1_pubkey sd2; - secp256k1_gej Qj; - secp256k1_ge Q; - int i; - for (i = 1; i <= 6; i++) { - secp256k1_scalar s; - random_scalar_order_test(&s); - secp256k1_scalar_add(&sum, &sum, &s); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &Qj, &s); - secp256k1_ge_set_gej(&Q, &Qj); - secp256k1_pubkey_save(&data[i - 1], &Q); - d[i - 1] = &data[i - 1]; - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &Qj, &sum); - secp256k1_ge_set_gej(&Q, &Qj); - secp256k1_pubkey_save(&sd, &Q); - CHECK(secp256k1_ec_pubkey_combine(ctx, &sd2, d, i) == 1); - CHECK(memcmp(&sd, &sd2, sizeof(sd)) == 0); - } -} - -void run_ec_combine(void) { - int i; - for (i = 0; i < count * 8; i++) { - test_ec_combine(); - } -} - -void test_group_decompress(const secp256k1_fe* x) { - /* The input itself, normalized. */ - secp256k1_fe fex = *x; - secp256k1_fe fez; - /* Results of set_xquad_var, set_xo_var(..., 0), set_xo_var(..., 1). */ - secp256k1_ge ge_quad, ge_even, ge_odd; - secp256k1_gej gej_quad; - /* Return values of the above calls. */ - int res_quad, res_even, res_odd; - - secp256k1_fe_normalize_var(&fex); - - res_quad = secp256k1_ge_set_xquad(&ge_quad, &fex); - res_even = secp256k1_ge_set_xo_var(&ge_even, &fex, 0); - res_odd = secp256k1_ge_set_xo_var(&ge_odd, &fex, 1); - - CHECK(res_quad == res_even); - CHECK(res_quad == res_odd); - - if (res_quad) { - secp256k1_fe_normalize_var(&ge_quad.x); - secp256k1_fe_normalize_var(&ge_odd.x); - secp256k1_fe_normalize_var(&ge_even.x); - secp256k1_fe_normalize_var(&ge_quad.y); - secp256k1_fe_normalize_var(&ge_odd.y); - secp256k1_fe_normalize_var(&ge_even.y); - - /* No infinity allowed. */ - CHECK(!ge_quad.infinity); - CHECK(!ge_even.infinity); - CHECK(!ge_odd.infinity); - - /* Check that the x coordinates check out. */ - CHECK(secp256k1_fe_equal_var(&ge_quad.x, x)); - CHECK(secp256k1_fe_equal_var(&ge_even.x, x)); - CHECK(secp256k1_fe_equal_var(&ge_odd.x, x)); - - /* Check that the Y coordinate result in ge_quad is a square. */ - CHECK(secp256k1_fe_is_quad_var(&ge_quad.y)); - - /* Check odd/even Y in ge_odd, ge_even. */ - CHECK(secp256k1_fe_is_odd(&ge_odd.y)); - CHECK(!secp256k1_fe_is_odd(&ge_even.y)); - - /* Check secp256k1_gej_has_quad_y_var. */ - secp256k1_gej_set_ge(&gej_quad, &ge_quad); - CHECK(secp256k1_gej_has_quad_y_var(&gej_quad)); - do { - random_fe_test(&fez); - } while (secp256k1_fe_is_zero(&fez)); - secp256k1_gej_rescale(&gej_quad, &fez); - CHECK(secp256k1_gej_has_quad_y_var(&gej_quad)); - secp256k1_gej_neg(&gej_quad, &gej_quad); - CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad)); - do { - random_fe_test(&fez); - } while (secp256k1_fe_is_zero(&fez)); - secp256k1_gej_rescale(&gej_quad, &fez); - CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad)); - secp256k1_gej_neg(&gej_quad, &gej_quad); - CHECK(secp256k1_gej_has_quad_y_var(&gej_quad)); - } -} - -void run_group_decompress(void) { - int i; - for (i = 0; i < count * 4; i++) { - secp256k1_fe fe; - random_fe_test(&fe); - test_group_decompress(&fe); - } -} - -/***** ECMULT TESTS *****/ - -void run_ecmult_chain(void) { - /* random starting point A (on the curve) */ - secp256k1_gej a = SECP256K1_GEJ_CONST( - 0x8b30bbe9, 0xae2a9906, 0x96b22f67, 0x0709dff3, - 0x727fd8bc, 0x04d3362c, 0x6c7bf458, 0xe2846004, - 0xa357ae91, 0x5c4a6528, 0x1309edf2, 0x0504740f, - 0x0eb33439, 0x90216b4f, 0x81063cb6, 0x5f2f7e0f - ); - /* two random initial factors xn and gn */ - secp256k1_scalar xn = SECP256K1_SCALAR_CONST( - 0x84cc5452, 0xf7fde1ed, 0xb4d38a8c, 0xe9b1b84c, - 0xcef31f14, 0x6e569be9, 0x705d357a, 0x42985407 - ); - secp256k1_scalar gn = SECP256K1_SCALAR_CONST( - 0xa1e58d22, 0x553dcd42, 0xb2398062, 0x5d4c57a9, - 0x6e9323d4, 0x2b3152e5, 0xca2c3990, 0xedc7c9de - ); - /* two small multipliers to be applied to xn and gn in every iteration: */ - static const secp256k1_scalar xf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x1337); - static const secp256k1_scalar gf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x7113); - /* accumulators with the resulting coefficients to A and G */ - secp256k1_scalar ae = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); - secp256k1_scalar ge = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - /* actual points */ - secp256k1_gej x; - secp256k1_gej x2; - int i; - - /* the point being computed */ - x = a; - for (i = 0; i < 200*count; i++) { - /* in each iteration, compute X = xn*X + gn*G; */ - secp256k1_ecmult(&ctx->ecmult_ctx, &x, &x, &xn, &gn); - /* also compute ae and ge: the actual accumulated factors for A and G */ - /* if X was (ae*A+ge*G), xn*X + gn*G results in (xn*ae*A + (xn*ge+gn)*G) */ - secp256k1_scalar_mul(&ae, &ae, &xn); - secp256k1_scalar_mul(&ge, &ge, &xn); - secp256k1_scalar_add(&ge, &ge, &gn); - /* modify xn and gn */ - secp256k1_scalar_mul(&xn, &xn, &xf); - secp256k1_scalar_mul(&gn, &gn, &gf); - - /* verify */ - if (i == 19999) { - /* expected result after 19999 iterations */ - secp256k1_gej rp = SECP256K1_GEJ_CONST( - 0xD6E96687, 0xF9B10D09, 0x2A6F3543, 0x9D86CEBE, - 0xA4535D0D, 0x409F5358, 0x6440BD74, 0xB933E830, - 0xB95CBCA2, 0xC77DA786, 0x539BE8FD, 0x53354D2D, - 0x3B4F566A, 0xE6580454, 0x07ED6015, 0xEE1B2A88 - ); - - secp256k1_gej_neg(&rp, &rp); - secp256k1_gej_add_var(&rp, &rp, &x, NULL); - CHECK(secp256k1_gej_is_infinity(&rp)); - } - } - /* redo the computation, but directly with the resulting ae and ge coefficients: */ - secp256k1_ecmult(&ctx->ecmult_ctx, &x2, &a, &ae, &ge); - secp256k1_gej_neg(&x2, &x2); - secp256k1_gej_add_var(&x2, &x2, &x, NULL); - CHECK(secp256k1_gej_is_infinity(&x2)); -} - -void test_point_times_order(const secp256k1_gej *point) { - /* X * (point + G) + (order-X) * (pointer + G) = 0 */ - secp256k1_scalar x; - secp256k1_scalar nx; - secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - secp256k1_scalar one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); - secp256k1_gej res1, res2; - secp256k1_ge res3; - unsigned char pub[65]; - size_t psize = 65; - random_scalar_order_test(&x); - secp256k1_scalar_negate(&nx, &x); - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &x, &x); /* calc res1 = x * point + x * G; */ - secp256k1_ecmult(&ctx->ecmult_ctx, &res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */ - secp256k1_gej_add_var(&res1, &res1, &res2, NULL); - CHECK(secp256k1_gej_is_infinity(&res1)); - CHECK(secp256k1_gej_is_valid_var(&res1) == 0); - secp256k1_ge_set_gej(&res3, &res1); - CHECK(secp256k1_ge_is_infinity(&res3)); - CHECK(secp256k1_ge_is_valid_var(&res3) == 0); - CHECK(secp256k1_eckey_pubkey_serialize(&res3, pub, &psize, 0) == 0); - psize = 65; - CHECK(secp256k1_eckey_pubkey_serialize(&res3, pub, &psize, 1) == 0); - /* check zero/one edge cases */ - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &zero); - secp256k1_ge_set_gej(&res3, &res1); - CHECK(secp256k1_ge_is_infinity(&res3)); - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &one, &zero); - secp256k1_ge_set_gej(&res3, &res1); - ge_equals_gej(&res3, point); - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &one); - secp256k1_ge_set_gej(&res3, &res1); - ge_equals_ge(&res3, &secp256k1_ge_const_g); -} - -void run_point_times_order(void) { - int i; - secp256k1_fe x = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 2); - static const secp256k1_fe xr = SECP256K1_FE_CONST( - 0x7603CB59, 0xB0EF6C63, 0xFE608479, 0x2A0C378C, - 0xDB3233A8, 0x0F8A9A09, 0xA877DEAD, 0x31B38C45 - ); - for (i = 0; i < 500; i++) { - secp256k1_ge p; - if (secp256k1_ge_set_xo_var(&p, &x, 1)) { - secp256k1_gej j; - CHECK(secp256k1_ge_is_valid_var(&p)); - secp256k1_gej_set_ge(&j, &p); - CHECK(secp256k1_gej_is_valid_var(&j)); - test_point_times_order(&j); - } - secp256k1_fe_sqr(&x, &x); - } - secp256k1_fe_normalize_var(&x); - CHECK(secp256k1_fe_equal_var(&x, &xr)); -} - -void ecmult_const_random_mult(void) { - /* random starting point A (on the curve) */ - secp256k1_ge a = SECP256K1_GE_CONST( - 0x6d986544, 0x57ff52b8, 0xcf1b8126, 0x5b802a5b, - 0xa97f9263, 0xb1e88044, 0x93351325, 0x91bc450a, - 0x535c59f7, 0x325e5d2b, 0xc391fbe8, 0x3c12787c, - 0x337e4a98, 0xe82a9011, 0x0123ba37, 0xdd769c7d - ); - /* random initial factor xn */ - secp256k1_scalar xn = SECP256K1_SCALAR_CONST( - 0x649d4f77, 0xc4242df7, 0x7f2079c9, 0x14530327, - 0xa31b876a, 0xd2d8ce2a, 0x2236d5c6, 0xd7b2029b - ); - /* expected xn * A (from sage) */ - secp256k1_ge expected_b = SECP256K1_GE_CONST( - 0x23773684, 0x4d209dc7, 0x098a786f, 0x20d06fcd, - 0x070a38bf, 0xc11ac651, 0x03004319, 0x1e2a8786, - 0xed8c3b8e, 0xc06dd57b, 0xd06ea66e, 0x45492b0f, - 0xb84e4e1b, 0xfb77e21f, 0x96baae2a, 0x63dec956 - ); - secp256k1_gej b; - secp256k1_ecmult_const(&b, &a, &xn); - - CHECK(secp256k1_ge_is_valid_var(&a)); - ge_equals_gej(&expected_b, &b); -} - -void ecmult_const_commutativity(void) { - secp256k1_scalar a; - secp256k1_scalar b; - secp256k1_gej res1; - secp256k1_gej res2; - secp256k1_ge mid1; - secp256k1_ge mid2; - random_scalar_order_test(&a); - random_scalar_order_test(&b); - - secp256k1_ecmult_const(&res1, &secp256k1_ge_const_g, &a); - secp256k1_ecmult_const(&res2, &secp256k1_ge_const_g, &b); - secp256k1_ge_set_gej(&mid1, &res1); - secp256k1_ge_set_gej(&mid2, &res2); - secp256k1_ecmult_const(&res1, &mid1, &b); - secp256k1_ecmult_const(&res2, &mid2, &a); - secp256k1_ge_set_gej(&mid1, &res1); - secp256k1_ge_set_gej(&mid2, &res2); - ge_equals_ge(&mid1, &mid2); -} - -void ecmult_const_mult_zero_one(void) { - secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - secp256k1_scalar one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); - secp256k1_scalar negone; - secp256k1_gej res1; - secp256k1_ge res2; - secp256k1_ge point; - secp256k1_scalar_negate(&negone, &one); - - random_group_element_test(&point); - secp256k1_ecmult_const(&res1, &point, &zero); - secp256k1_ge_set_gej(&res2, &res1); - CHECK(secp256k1_ge_is_infinity(&res2)); - secp256k1_ecmult_const(&res1, &point, &one); - secp256k1_ge_set_gej(&res2, &res1); - ge_equals_ge(&res2, &point); - secp256k1_ecmult_const(&res1, &point, &negone); - secp256k1_gej_neg(&res1, &res1); - secp256k1_ge_set_gej(&res2, &res1); - ge_equals_ge(&res2, &point); -} - -void ecmult_const_chain_multiply(void) { - /* Check known result (randomly generated test problem from sage) */ - const secp256k1_scalar scalar = SECP256K1_SCALAR_CONST( - 0x4968d524, 0x2abf9b7a, 0x466abbcf, 0x34b11b6d, - 0xcd83d307, 0x827bed62, 0x05fad0ce, 0x18fae63b - ); - const secp256k1_gej expected_point = SECP256K1_GEJ_CONST( - 0x5494c15d, 0x32099706, 0xc2395f94, 0x348745fd, - 0x757ce30e, 0x4e8c90fb, 0xa2bad184, 0xf883c69f, - 0x5d195d20, 0xe191bf7f, 0x1be3e55f, 0x56a80196, - 0x6071ad01, 0xf1462f66, 0xc997fa94, 0xdb858435 - ); - secp256k1_gej point; - secp256k1_ge res; - int i; - - secp256k1_gej_set_ge(&point, &secp256k1_ge_const_g); - for (i = 0; i < 100; ++i) { - secp256k1_ge tmp; - secp256k1_ge_set_gej(&tmp, &point); - secp256k1_ecmult_const(&point, &tmp, &scalar); - } - secp256k1_ge_set_gej(&res, &point); - ge_equals_gej(&res, &expected_point); -} - -void run_ecmult_const_tests(void) { - ecmult_const_mult_zero_one(); - ecmult_const_random_mult(); - ecmult_const_commutativity(); - ecmult_const_chain_multiply(); -} - -void test_wnaf(const secp256k1_scalar *number, int w) { - secp256k1_scalar x, two, t; - int wnaf[256]; - int zeroes = -1; - int i; - int bits; - secp256k1_scalar_set_int(&x, 0); - secp256k1_scalar_set_int(&two, 2); - bits = secp256k1_ecmult_wnaf(wnaf, 256, number, w); - CHECK(bits <= 256); - for (i = bits-1; i >= 0; i--) { - int v = wnaf[i]; - secp256k1_scalar_mul(&x, &x, &two); - if (v) { - CHECK(zeroes == -1 || zeroes >= w-1); /* check that distance between non-zero elements is at least w-1 */ - zeroes=0; - CHECK((v & 1) == 1); /* check non-zero elements are odd */ - CHECK(v <= (1 << (w-1)) - 1); /* check range below */ - CHECK(v >= -(1 << (w-1)) - 1); /* check range above */ - } else { - CHECK(zeroes != -1); /* check that no unnecessary zero padding exists */ - zeroes++; - } - if (v >= 0) { - secp256k1_scalar_set_int(&t, v); - } else { - secp256k1_scalar_set_int(&t, -v); - secp256k1_scalar_negate(&t, &t); - } - secp256k1_scalar_add(&x, &x, &t); - } - CHECK(secp256k1_scalar_eq(&x, number)); /* check that wnaf represents number */ -} - -void test_constant_wnaf_negate(const secp256k1_scalar *number) { - secp256k1_scalar neg1 = *number; - secp256k1_scalar neg2 = *number; - int sign1 = 1; - int sign2 = 1; - - if (!secp256k1_scalar_get_bits(&neg1, 0, 1)) { - secp256k1_scalar_negate(&neg1, &neg1); - sign1 = -1; - } - sign2 = secp256k1_scalar_cond_negate(&neg2, secp256k1_scalar_is_even(&neg2)); - CHECK(sign1 == sign2); - CHECK(secp256k1_scalar_eq(&neg1, &neg2)); -} - -void test_constant_wnaf(const secp256k1_scalar *number, int w) { - secp256k1_scalar x, shift; - int wnaf[256] = {0}; - int i; - int skew; - secp256k1_scalar num = *number; - - secp256k1_scalar_set_int(&x, 0); - secp256k1_scalar_set_int(&shift, 1 << w); - /* With USE_ENDOMORPHISM on we only consider 128-bit numbers */ -#ifdef USE_ENDOMORPHISM - for (i = 0; i < 16; ++i) { - secp256k1_scalar_shr_int(&num, 8); - } -#endif - skew = secp256k1_wnaf_const(wnaf, num, w); - - for (i = WNAF_SIZE(w); i >= 0; --i) { - secp256k1_scalar t; - int v = wnaf[i]; - CHECK(v != 0); /* check nonzero */ - CHECK(v & 1); /* check parity */ - CHECK(v > -(1 << w)); /* check range above */ - CHECK(v < (1 << w)); /* check range below */ - - secp256k1_scalar_mul(&x, &x, &shift); - if (v >= 0) { - secp256k1_scalar_set_int(&t, v); - } else { - secp256k1_scalar_set_int(&t, -v); - secp256k1_scalar_negate(&t, &t); - } - secp256k1_scalar_add(&x, &x, &t); - } - /* Skew num because when encoding numbers as odd we use an offset */ - secp256k1_scalar_cadd_bit(&num, skew == 2, 1); - CHECK(secp256k1_scalar_eq(&x, &num)); -} - -void run_wnaf(void) { - int i; - secp256k1_scalar n = {{0}}; - - /* Sanity check: 1 and 2 are the smallest odd and even numbers and should - * have easier-to-diagnose failure modes */ - n.d[0] = 1; - test_constant_wnaf(&n, 4); - n.d[0] = 2; - test_constant_wnaf(&n, 4); - /* Random tests */ - for (i = 0; i < count; i++) { - random_scalar_order(&n); - test_wnaf(&n, 4+(i%10)); - test_constant_wnaf_negate(&n); - test_constant_wnaf(&n, 4 + (i % 10)); - } - secp256k1_scalar_set_int(&n, 0); - CHECK(secp256k1_scalar_cond_negate(&n, 1) == -1); - CHECK(secp256k1_scalar_is_zero(&n)); - CHECK(secp256k1_scalar_cond_negate(&n, 0) == 1); - CHECK(secp256k1_scalar_is_zero(&n)); -} - -void test_ecmult_constants(void) { - /* Test ecmult_gen() for [0..36) and [order-36..0). */ - secp256k1_scalar x; - secp256k1_gej r; - secp256k1_ge ng; - int i; - int j; - secp256k1_ge_neg(&ng, &secp256k1_ge_const_g); - for (i = 0; i < 36; i++ ) { - secp256k1_scalar_set_int(&x, i); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &r, &x); - for (j = 0; j < i; j++) { - if (j == i - 1) { - ge_equals_gej(&secp256k1_ge_const_g, &r); - } - secp256k1_gej_add_ge(&r, &r, &ng); - } - CHECK(secp256k1_gej_is_infinity(&r)); - } - for (i = 1; i <= 36; i++ ) { - secp256k1_scalar_set_int(&x, i); - secp256k1_scalar_negate(&x, &x); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &r, &x); - for (j = 0; j < i; j++) { - if (j == i - 1) { - ge_equals_gej(&ng, &r); - } - secp256k1_gej_add_ge(&r, &r, &secp256k1_ge_const_g); - } - CHECK(secp256k1_gej_is_infinity(&r)); - } -} - -void run_ecmult_constants(void) { - test_ecmult_constants(); -} - -void test_ecmult_gen_blind(void) { - /* Test ecmult_gen() blinding and confirm that the blinding changes, the affine points match, and the z's don't match. */ - secp256k1_scalar key; - secp256k1_scalar b; - unsigned char seed32[32]; - secp256k1_gej pgej; - secp256k1_gej pgej2; - secp256k1_gej i; - secp256k1_ge pge; - random_scalar_order_test(&key); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pgej, &key); - secp256k1_rand256(seed32); - b = ctx->ecmult_gen_ctx.blind; - i = ctx->ecmult_gen_ctx.initial; - secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, seed32); - CHECK(!secp256k1_scalar_eq(&b, &ctx->ecmult_gen_ctx.blind)); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pgej2, &key); - CHECK(!gej_xyz_equals_gej(&pgej, &pgej2)); - CHECK(!gej_xyz_equals_gej(&i, &ctx->ecmult_gen_ctx.initial)); - secp256k1_ge_set_gej(&pge, &pgej); - ge_equals_gej(&pge, &pgej2); -} - -void test_ecmult_gen_blind_reset(void) { - /* Test ecmult_gen() blinding reset and confirm that the blinding is consistent. */ - secp256k1_scalar b; - secp256k1_gej initial; - secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, 0); - b = ctx->ecmult_gen_ctx.blind; - initial = ctx->ecmult_gen_ctx.initial; - secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, 0); - CHECK(secp256k1_scalar_eq(&b, &ctx->ecmult_gen_ctx.blind)); - CHECK(gej_xyz_equals_gej(&initial, &ctx->ecmult_gen_ctx.initial)); -} - -void run_ecmult_gen_blind(void) { - int i; - test_ecmult_gen_blind_reset(); - for (i = 0; i < 10; i++) { - test_ecmult_gen_blind(); - } -} - -#ifdef USE_ENDOMORPHISM -/***** ENDOMORPHISH TESTS *****/ -void test_scalar_split(void) { - secp256k1_scalar full; - secp256k1_scalar s1, slam; - const unsigned char zero[32] = {0}; - unsigned char tmp[32]; - - random_scalar_order_test(&full); - secp256k1_scalar_split_lambda(&s1, &slam, &full); - - /* check that both are <= 128 bits in size */ - if (secp256k1_scalar_is_high(&s1)) { - secp256k1_scalar_negate(&s1, &s1); - } - if (secp256k1_scalar_is_high(&slam)) { - secp256k1_scalar_negate(&slam, &slam); - } - - secp256k1_scalar_get_b32(tmp, &s1); - CHECK(memcmp(zero, tmp, 16) == 0); - secp256k1_scalar_get_b32(tmp, &slam); - CHECK(memcmp(zero, tmp, 16) == 0); -} - -void run_endomorphism_tests(void) { - test_scalar_split(); -} -#endif - -void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, int yvalid) { - unsigned char pubkeyc[65]; - secp256k1_pubkey pubkey; - secp256k1_ge ge; - size_t pubkeyclen; - int32_t ecount; - ecount = 0; - secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); - for (pubkeyclen = 3; pubkeyclen <= 65; pubkeyclen++) { - /* Smaller sizes are tested exhaustively elsewhere. */ - int32_t i; - memcpy(&pubkeyc[1], input, 64); - VG_UNDEF(&pubkeyc[pubkeyclen], 65 - pubkeyclen); - for (i = 0; i < 256; i++) { - /* Try all type bytes. */ - int xpass; - int ypass; - int ysign; - pubkeyc[0] = i; - /* What sign does this point have? */ - ysign = (input[63] & 1) + 2; - /* For the current type (i) do we expect parsing to work? Handled all of compressed/uncompressed/hybrid. */ - xpass = xvalid && (pubkeyclen == 33) && ((i & 254) == 2); - /* Do we expect a parse and re-serialize as uncompressed to give a matching y? */ - ypass = xvalid && yvalid && ((i & 4) == ((pubkeyclen == 65) << 2)) && - ((i == 4) || ((i & 251) == ysign)) && ((pubkeyclen == 33) || (pubkeyclen == 65)); - if (xpass || ypass) { - /* These cases must parse. */ - unsigned char pubkeyo[65]; - size_t outl; - memset(&pubkey, 0, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - ecount = 0; - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); - outl = 65; - VG_UNDEF(pubkeyo, 65); - CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyo, &outl, &pubkey, SECP256K1_EC_COMPRESSED) == 1); - VG_CHECK(pubkeyo, outl); - CHECK(outl == 33); - CHECK(memcmp(&pubkeyo[1], &pubkeyc[1], 32) == 0); - CHECK((pubkeyclen != 33) || (pubkeyo[0] == pubkeyc[0])); - if (ypass) { - /* This test isn't always done because we decode with alternative signs, so the y won't match. */ - CHECK(pubkeyo[0] == ysign); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 1); - memset(&pubkey, 0, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - secp256k1_pubkey_save(&pubkey, &ge); - VG_CHECK(&pubkey, sizeof(pubkey)); - outl = 65; - VG_UNDEF(pubkeyo, 65); - CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyo, &outl, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1); - VG_CHECK(pubkeyo, outl); - CHECK(outl == 65); - CHECK(pubkeyo[0] == 4); - CHECK(memcmp(&pubkeyo[1], input, 64) == 0); - } - CHECK(ecount == 0); - } else { - /* These cases must fail to parse. */ - memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); - } - } - } - secp256k1_context_set_illegal_callback(ctx, NULL, NULL); -} - -void run_ec_pubkey_parse_test(void) { -#define SECP256K1_EC_PARSE_TEST_NVALID (12) - const unsigned char valid[SECP256K1_EC_PARSE_TEST_NVALID][64] = { - { - /* Point with leading and trailing zeros in x and y serialization. */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x42, 0x52, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x64, 0xef, 0xa1, 0x7b, 0x77, 0x61, 0xe1, 0xe4, 0x27, 0x06, 0x98, 0x9f, 0xb4, 0x83, - 0xb8, 0xd2, 0xd4, 0x9b, 0xf7, 0x8f, 0xae, 0x98, 0x03, 0xf0, 0x99, 0xb8, 0x34, 0xed, 0xeb, 0x00 - }, - { - /* Point with x equal to a 3rd root of unity.*/ - 0x7a, 0xe9, 0x6a, 0x2b, 0x65, 0x7c, 0x07, 0x10, 0x6e, 0x64, 0x47, 0x9e, 0xac, 0x34, 0x34, 0xe9, - 0x9c, 0xf0, 0x49, 0x75, 0x12, 0xf5, 0x89, 0x95, 0xc1, 0x39, 0x6c, 0x28, 0x71, 0x95, 0x01, 0xee, - 0x42, 0x18, 0xf2, 0x0a, 0xe6, 0xc6, 0x46, 0xb3, 0x63, 0xdb, 0x68, 0x60, 0x58, 0x22, 0xfb, 0x14, - 0x26, 0x4c, 0xa8, 0xd2, 0x58, 0x7f, 0xdd, 0x6f, 0xbc, 0x75, 0x0d, 0x58, 0x7e, 0x76, 0xa7, 0xee, - }, - { - /* Point with largest x. (1/2) */ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2c, - 0x0e, 0x99, 0x4b, 0x14, 0xea, 0x72, 0xf8, 0xc3, 0xeb, 0x95, 0xc7, 0x1e, 0xf6, 0x92, 0x57, 0x5e, - 0x77, 0x50, 0x58, 0x33, 0x2d, 0x7e, 0x52, 0xd0, 0x99, 0x5c, 0xf8, 0x03, 0x88, 0x71, 0xb6, 0x7d, - }, - { - /* Point with largest x. (2/2) */ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2c, - 0xf1, 0x66, 0xb4, 0xeb, 0x15, 0x8d, 0x07, 0x3c, 0x14, 0x6a, 0x38, 0xe1, 0x09, 0x6d, 0xa8, 0xa1, - 0x88, 0xaf, 0xa7, 0xcc, 0xd2, 0x81, 0xad, 0x2f, 0x66, 0xa3, 0x07, 0xfb, 0x77, 0x8e, 0x45, 0xb2, - }, - { - /* Point with smallest x. (1/2) */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - 0x42, 0x18, 0xf2, 0x0a, 0xe6, 0xc6, 0x46, 0xb3, 0x63, 0xdb, 0x68, 0x60, 0x58, 0x22, 0xfb, 0x14, - 0x26, 0x4c, 0xa8, 0xd2, 0x58, 0x7f, 0xdd, 0x6f, 0xbc, 0x75, 0x0d, 0x58, 0x7e, 0x76, 0xa7, 0xee, - }, - { - /* Point with smallest x. (2/2) */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - 0xbd, 0xe7, 0x0d, 0xf5, 0x19, 0x39, 0xb9, 0x4c, 0x9c, 0x24, 0x97, 0x9f, 0xa7, 0xdd, 0x04, 0xeb, - 0xd9, 0xb3, 0x57, 0x2d, 0xa7, 0x80, 0x22, 0x90, 0x43, 0x8a, 0xf2, 0xa6, 0x81, 0x89, 0x54, 0x41, - }, - { - /* Point with largest y. (1/3) */ - 0x1f, 0xe1, 0xe5, 0xef, 0x3f, 0xce, 0xb5, 0xc1, 0x35, 0xab, 0x77, 0x41, 0x33, 0x3c, 0xe5, 0xa6, - 0xe8, 0x0d, 0x68, 0x16, 0x76, 0x53, 0xf6, 0xb2, 0xb2, 0x4b, 0xcb, 0xcf, 0xaa, 0xaf, 0xf5, 0x07, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2e, - }, - { - /* Point with largest y. (2/3) */ - 0xcb, 0xb0, 0xde, 0xab, 0x12, 0x57, 0x54, 0xf1, 0xfd, 0xb2, 0x03, 0x8b, 0x04, 0x34, 0xed, 0x9c, - 0xb3, 0xfb, 0x53, 0xab, 0x73, 0x53, 0x91, 0x12, 0x99, 0x94, 0xa5, 0x35, 0xd9, 0x25, 0xf6, 0x73, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2e, - }, - { - /* Point with largest y. (3/3) */ - 0x14, 0x6d, 0x3b, 0x65, 0xad, 0xd9, 0xf5, 0x4c, 0xcc, 0xa2, 0x85, 0x33, 0xc8, 0x8e, 0x2c, 0xbc, - 0x63, 0xf7, 0x44, 0x3e, 0x16, 0x58, 0x78, 0x3a, 0xb4, 0x1f, 0x8e, 0xf9, 0x7c, 0x2a, 0x10, 0xb5, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2e, - }, - { - /* Point with smallest y. (1/3) */ - 0x1f, 0xe1, 0xe5, 0xef, 0x3f, 0xce, 0xb5, 0xc1, 0x35, 0xab, 0x77, 0x41, 0x33, 0x3c, 0xe5, 0xa6, - 0xe8, 0x0d, 0x68, 0x16, 0x76, 0x53, 0xf6, 0xb2, 0xb2, 0x4b, 0xcb, 0xcf, 0xaa, 0xaf, 0xf5, 0x07, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - }, - { - /* Point with smallest y. (2/3) */ - 0xcb, 0xb0, 0xde, 0xab, 0x12, 0x57, 0x54, 0xf1, 0xfd, 0xb2, 0x03, 0x8b, 0x04, 0x34, 0xed, 0x9c, - 0xb3, 0xfb, 0x53, 0xab, 0x73, 0x53, 0x91, 0x12, 0x99, 0x94, 0xa5, 0x35, 0xd9, 0x25, 0xf6, 0x73, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - }, - { - /* Point with smallest y. (3/3) */ - 0x14, 0x6d, 0x3b, 0x65, 0xad, 0xd9, 0xf5, 0x4c, 0xcc, 0xa2, 0x85, 0x33, 0xc8, 0x8e, 0x2c, 0xbc, - 0x63, 0xf7, 0x44, 0x3e, 0x16, 0x58, 0x78, 0x3a, 0xb4, 0x1f, 0x8e, 0xf9, 0x7c, 0x2a, 0x10, 0xb5, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01 - } - }; -#define SECP256K1_EC_PARSE_TEST_NXVALID (4) - const unsigned char onlyxvalid[SECP256K1_EC_PARSE_TEST_NXVALID][64] = { - { - /* Valid if y overflow ignored (y = 1 mod p). (1/3) */ - 0x1f, 0xe1, 0xe5, 0xef, 0x3f, 0xce, 0xb5, 0xc1, 0x35, 0xab, 0x77, 0x41, 0x33, 0x3c, 0xe5, 0xa6, - 0xe8, 0x0d, 0x68, 0x16, 0x76, 0x53, 0xf6, 0xb2, 0xb2, 0x4b, 0xcb, 0xcf, 0xaa, 0xaf, 0xf5, 0x07, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x30, - }, - { - /* Valid if y overflow ignored (y = 1 mod p). (2/3) */ - 0xcb, 0xb0, 0xde, 0xab, 0x12, 0x57, 0x54, 0xf1, 0xfd, 0xb2, 0x03, 0x8b, 0x04, 0x34, 0xed, 0x9c, - 0xb3, 0xfb, 0x53, 0xab, 0x73, 0x53, 0x91, 0x12, 0x99, 0x94, 0xa5, 0x35, 0xd9, 0x25, 0xf6, 0x73, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x30, - }, - { - /* Valid if y overflow ignored (y = 1 mod p). (3/3)*/ - 0x14, 0x6d, 0x3b, 0x65, 0xad, 0xd9, 0xf5, 0x4c, 0xcc, 0xa2, 0x85, 0x33, 0xc8, 0x8e, 0x2c, 0xbc, - 0x63, 0xf7, 0x44, 0x3e, 0x16, 0x58, 0x78, 0x3a, 0xb4, 0x1f, 0x8e, 0xf9, 0x7c, 0x2a, 0x10, 0xb5, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x30, - }, - { - /* x on curve, y is from y^2 = x^3 + 8. */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03 - } - }; -#define SECP256K1_EC_PARSE_TEST_NINVALID (7) - const unsigned char invalid[SECP256K1_EC_PARSE_TEST_NINVALID][64] = { - { - /* x is third root of -8, y is -1 * (x^3+7); also on the curve for y^2 = x^3 + 9. */ - 0x0a, 0x2d, 0x2b, 0xa9, 0x35, 0x07, 0xf1, 0xdf, 0x23, 0x37, 0x70, 0xc2, 0xa7, 0x97, 0x96, 0x2c, - 0xc6, 0x1f, 0x6d, 0x15, 0xda, 0x14, 0xec, 0xd4, 0x7d, 0x8d, 0x27, 0xae, 0x1c, 0xd5, 0xf8, 0x53, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - }, - { - /* Valid if x overflow ignored (x = 1 mod p). */ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x30, - 0x42, 0x18, 0xf2, 0x0a, 0xe6, 0xc6, 0x46, 0xb3, 0x63, 0xdb, 0x68, 0x60, 0x58, 0x22, 0xfb, 0x14, - 0x26, 0x4c, 0xa8, 0xd2, 0x58, 0x7f, 0xdd, 0x6f, 0xbc, 0x75, 0x0d, 0x58, 0x7e, 0x76, 0xa7, 0xee, - }, - { - /* Valid if x overflow ignored (x = 1 mod p). */ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x30, - 0xbd, 0xe7, 0x0d, 0xf5, 0x19, 0x39, 0xb9, 0x4c, 0x9c, 0x24, 0x97, 0x9f, 0xa7, 0xdd, 0x04, 0xeb, - 0xd9, 0xb3, 0x57, 0x2d, 0xa7, 0x80, 0x22, 0x90, 0x43, 0x8a, 0xf2, 0xa6, 0x81, 0x89, 0x54, 0x41, - }, - { - /* x is -1, y is the result of the sqrt ladder; also on the curve for y^2 = x^3 - 5. */ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2e, - 0xf4, 0x84, 0x14, 0x5c, 0xb0, 0x14, 0x9b, 0x82, 0x5d, 0xff, 0x41, 0x2f, 0xa0, 0x52, 0xa8, 0x3f, - 0xcb, 0x72, 0xdb, 0x61, 0xd5, 0x6f, 0x37, 0x70, 0xce, 0x06, 0x6b, 0x73, 0x49, 0xa2, 0xaa, 0x28, - }, - { - /* x is -1, y is the result of the sqrt ladder; also on the curve for y^2 = x^3 - 5. */ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2e, - 0x0b, 0x7b, 0xeb, 0xa3, 0x4f, 0xeb, 0x64, 0x7d, 0xa2, 0x00, 0xbe, 0xd0, 0x5f, 0xad, 0x57, 0xc0, - 0x34, 0x8d, 0x24, 0x9e, 0x2a, 0x90, 0xc8, 0x8f, 0x31, 0xf9, 0x94, 0x8b, 0xb6, 0x5d, 0x52, 0x07, - }, - { - /* x is zero, y is the result of the sqrt ladder; also on the curve for y^2 = x^3 - 7. */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x8f, 0x53, 0x7e, 0xef, 0xdf, 0xc1, 0x60, 0x6a, 0x07, 0x27, 0xcd, 0x69, 0xb4, 0xa7, 0x33, 0x3d, - 0x38, 0xed, 0x44, 0xe3, 0x93, 0x2a, 0x71, 0x79, 0xee, 0xcb, 0x4b, 0x6f, 0xba, 0x93, 0x60, 0xdc, - }, - { - /* x is zero, y is the result of the sqrt ladder; also on the curve for y^2 = x^3 - 7. */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x70, 0xac, 0x81, 0x10, 0x20, 0x3e, 0x9f, 0x95, 0xf8, 0xd8, 0x32, 0x96, 0x4b, 0x58, 0xcc, 0xc2, - 0xc7, 0x12, 0xbb, 0x1c, 0x6c, 0xd5, 0x8e, 0x86, 0x11, 0x34, 0xb4, 0x8f, 0x45, 0x6c, 0x9b, 0x53 - } - }; - const unsigned char pubkeyc[66] = { - /* Serialization of G. */ - 0x04, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, - 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, - 0x98, 0x48, 0x3A, 0xDA, 0x77, 0x26, 0xA3, 0xC4, 0x65, 0x5D, 0xA4, 0xFB, 0xFC, 0x0E, 0x11, 0x08, - 0xA8, 0xFD, 0x17, 0xB4, 0x48, 0xA6, 0x85, 0x54, 0x19, 0x9C, 0x47, 0xD0, 0x8F, 0xFB, 0x10, 0xD4, - 0xB8, 0x00 - }; - unsigned char sout[65]; - unsigned char shortkey[2]; - secp256k1_ge ge; - secp256k1_pubkey pubkey; - size_t len; - int32_t i; - int32_t ecount; - int32_t ecount2; - ecount = 0; - /* Nothing should be reading this far into pubkeyc. */ - VG_UNDEF(&pubkeyc[65], 1); - secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); - /* Zero length claimed, fail, zeroize, no illegal arg error. */ - memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(shortkey, 2); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 0) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); - /* Length one claimed, fail, zeroize, no illegal arg error. */ - for (i = 0; i < 256 ; i++) { - memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - shortkey[0] = i; - VG_UNDEF(&shortkey[1], 1); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 1) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); - } - /* Length two claimed, fail, zeroize, no illegal arg error. */ - for (i = 0; i < 65536 ; i++) { - memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - shortkey[0] = i & 255; - shortkey[1] = i >> 8; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 2) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); - } - memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - /* 33 bytes claimed on otherwise valid input starting with 0x04, fail, zeroize output, no illegal arg error. */ - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 33) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); - /* NULL pubkey, illegal arg error. Pubkey isn't rewritten before this step, since it's NULL into the parser. */ - CHECK(secp256k1_ec_pubkey_parse(ctx, NULL, pubkeyc, 65) == 0); - CHECK(ecount == 2); - /* NULL input string. Illegal arg and zeroize output. */ - memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, NULL, 65) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 1); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 2); - /* 64 bytes claimed on input starting with 0x04, fail, zeroize output, no illegal arg error. */ - memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 64) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); - /* 66 bytes claimed, fail, zeroize output, no illegal arg error. */ - memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 66) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); - CHECK(ecount == 1); - /* Valid parse. */ - memset(&pubkey, 0, sizeof(pubkey)); - ecount = 0; - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 65) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - VG_UNDEF(&ge, sizeof(ge)); - CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 1); - VG_CHECK(&ge.x, sizeof(ge.x)); - VG_CHECK(&ge.y, sizeof(ge.y)); - VG_CHECK(&ge.infinity, sizeof(ge.infinity)); - ge_equals_ge(&secp256k1_ge_const_g, &ge); - CHECK(ecount == 0); - /* secp256k1_ec_pubkey_serialize illegal args. */ - ecount = 0; - len = 65; - CHECK(secp256k1_ec_pubkey_serialize(ctx, NULL, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0); - CHECK(ecount == 1); - CHECK(len == 0); - CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, NULL, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0); - CHECK(ecount == 2); - len = 65; - VG_UNDEF(sout, 65); - CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, &len, NULL, SECP256K1_EC_UNCOMPRESSED) == 0); - VG_CHECK(sout, 65); - CHECK(ecount == 3); - CHECK(len == 0); - len = 65; - CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, &len, &pubkey, ~0) == 0); - CHECK(ecount == 4); - CHECK(len == 0); - len = 65; - VG_UNDEF(sout, 65); - CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1); - VG_CHECK(sout, 65); - CHECK(ecount == 4); - CHECK(len == 65); - /* Multiple illegal args. Should still set arg error only once. */ - ecount = 0; - ecount2 = 11; - CHECK(secp256k1_ec_pubkey_parse(ctx, NULL, NULL, 65) == 0); - CHECK(ecount == 1); - /* Does the illegal arg callback actually change the behavior? */ - secp256k1_context_set_illegal_callback(ctx, uncounting_illegal_callback_fn, &ecount2); - CHECK(secp256k1_ec_pubkey_parse(ctx, NULL, NULL, 65) == 0); - CHECK(ecount == 1); - CHECK(ecount2 == 10); - secp256k1_context_set_illegal_callback(ctx, NULL, NULL); - /* Try a bunch of prefabbed points with all possible encodings. */ - for (i = 0; i < SECP256K1_EC_PARSE_TEST_NVALID; i++) { - ec_pubkey_parse_pointtest(valid[i], 1, 1); - } - for (i = 0; i < SECP256K1_EC_PARSE_TEST_NXVALID; i++) { - ec_pubkey_parse_pointtest(onlyxvalid[i], 1, 0); - } - for (i = 0; i < SECP256K1_EC_PARSE_TEST_NINVALID; i++) { - ec_pubkey_parse_pointtest(invalid[i], 0, 0); - } -} - -void run_eckey_edge_case_test(void) { - const unsigned char orderc[32] = { - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, - 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41 - }; - const unsigned char zeros[sizeof(secp256k1_pubkey)] = {0x00}; - unsigned char ctmp[33]; - unsigned char ctmp2[33]; - secp256k1_pubkey pubkey; - secp256k1_pubkey pubkey2; - secp256k1_pubkey pubkey_one; - secp256k1_pubkey pubkey_negone; - const secp256k1_pubkey *pubkeys[3]; - size_t len; - int32_t ecount; - /* Group order is too large, reject. */ - CHECK(secp256k1_ec_seckey_verify(ctx, orderc) == 0); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, orderc) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - /* Maximum value is too large, reject. */ - memset(ctmp, 255, 32); - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 0); - memset(&pubkey, 1, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - /* Zero is too small, reject. */ - memset(ctmp, 0, 32); - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 0); - memset(&pubkey, 1, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - /* One must be accepted. */ - ctmp[31] = 0x01; - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 1); - memset(&pubkey, 0, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - pubkey_one = pubkey; - /* Group order + 1 is too large, reject. */ - memcpy(ctmp, orderc, 32); - ctmp[31] = 0x42; - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 0); - memset(&pubkey, 1, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - /* -1 must be accepted. */ - ctmp[31] = 0x40; - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 1); - memset(&pubkey, 0, sizeof(pubkey)); - VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 1); - VG_CHECK(&pubkey, sizeof(pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - pubkey_negone = pubkey; - /* Tweak of zero leaves the value changed. */ - memset(ctmp2, 0, 32); - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, ctmp2) == 1); - CHECK(memcmp(orderc, ctmp, 31) == 0 && ctmp[31] == 0x40); - memcpy(&pubkey2, &pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); - /* Multiply tweak of zero zeroizes the output. */ - CHECK(secp256k1_ec_privkey_tweak_mul(ctx, ctmp, ctmp2) == 0); - CHECK(memcmp(zeros, ctmp, 32) == 0); - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, ctmp2) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); - memcpy(&pubkey, &pubkey2, sizeof(pubkey)); - /* Overflowing key tweak zeroizes. */ - memcpy(ctmp, orderc, 32); - ctmp[31] = 0x40; - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, orderc) == 0); - CHECK(memcmp(zeros, ctmp, 32) == 0); - memcpy(ctmp, orderc, 32); - ctmp[31] = 0x40; - CHECK(secp256k1_ec_privkey_tweak_mul(ctx, ctmp, orderc) == 0); - CHECK(memcmp(zeros, ctmp, 32) == 0); - memcpy(ctmp, orderc, 32); - ctmp[31] = 0x40; - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, orderc) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); - memcpy(&pubkey, &pubkey2, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, orderc) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); - memcpy(&pubkey, &pubkey2, sizeof(pubkey)); - /* Private key tweaks results in a key of zero. */ - ctmp2[31] = 1; - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp2, ctmp) == 0); - CHECK(memcmp(zeros, ctmp2, 32) == 0); - ctmp2[31] = 1; - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); - memcpy(&pubkey, &pubkey2, sizeof(pubkey)); - /* Tweak computation wraps and results in a key of 1. */ - ctmp2[31] = 2; - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp2, ctmp) == 1); - CHECK(memcmp(ctmp2, zeros, 31) == 0 && ctmp2[31] == 1); - ctmp2[31] = 2; - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1); - ctmp2[31] = 1; - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey2, ctmp2) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); - /* Tweak mul * 2 = 1+1. */ - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1); - ctmp2[31] = 2; - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey2, ctmp2) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); - /* Test argument errors. */ - ecount = 0; - secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); - CHECK(ecount == 0); - /* Zeroize pubkey on parse error. */ - memset(&pubkey, 0, 32); - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); - memcpy(&pubkey, &pubkey2, sizeof(pubkey)); - memset(&pubkey2, 0, 32); - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey2, ctmp2) == 0); - CHECK(ecount == 2); - CHECK(memcmp(&pubkey2, zeros, sizeof(pubkey2)) == 0); - /* Plain argument errors. */ - ecount = 0; - CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ec_seckey_verify(ctx, NULL) == 0); - CHECK(ecount == 1); - ecount = 0; - memset(ctmp2, 0, 32); - ctmp2[31] = 4; - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; - memset(ctmp2, 0, 32); - ctmp2[31] = 4; - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; - memset(ctmp2, 0, 32); - CHECK(secp256k1_ec_privkey_tweak_add(ctx, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; - memset(ctmp2, 0, 32); - ctmp2[31] = 1; - CHECK(secp256k1_ec_privkey_tweak_mul(ctx, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_privkey_tweak_mul(ctx, ctmp, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; - CHECK(secp256k1_ec_pubkey_create(ctx, NULL, ctmp) == 0); - CHECK(ecount == 1); - memset(&pubkey, 1, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, NULL) == 0); - CHECK(ecount == 2); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - /* secp256k1_ec_pubkey_combine tests. */ - ecount = 0; - pubkeys[0] = &pubkey_one; - VG_UNDEF(&pubkeys[0], sizeof(secp256k1_pubkey *)); - VG_UNDEF(&pubkeys[1], sizeof(secp256k1_pubkey *)); - VG_UNDEF(&pubkeys[2], sizeof(secp256k1_pubkey *)); - memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 0) == 0); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_combine(ctx, NULL, pubkeys, 1) == 0); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 2); - memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, NULL, 1) == 0); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 3); - pubkeys[0] = &pubkey_negone; - memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 1) == 1); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - CHECK(ecount == 3); - len = 33; - CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); - CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp2, &len, &pubkey_negone, SECP256K1_EC_COMPRESSED) == 1); - CHECK(memcmp(ctmp, ctmp2, 33) == 0); - /* Result is infinity. */ - pubkeys[0] = &pubkey_one; - pubkeys[1] = &pubkey_negone; - memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 2) == 0); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 3); - /* Passes through infinity but comes out one. */ - pubkeys[2] = &pubkey_one; - memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 3) == 1); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - CHECK(ecount == 3); - len = 33; - CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); - CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp2, &len, &pubkey_one, SECP256K1_EC_COMPRESSED) == 1); - CHECK(memcmp(ctmp, ctmp2, 33) == 0); - /* Adds to two. */ - pubkeys[1] = &pubkey_one; - memset(&pubkey, 255, sizeof(secp256k1_pubkey)); - VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 2) == 1); - VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - CHECK(ecount == 3); - secp256k1_context_set_illegal_callback(ctx, NULL, NULL); -} - -void random_sign(secp256k1_scalar *sigr, secp256k1_scalar *sigs, const secp256k1_scalar *key, const secp256k1_scalar *msg, int *recid) { - secp256k1_scalar nonce; - do { - random_scalar_order_test(&nonce); - } while(!secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, sigr, sigs, key, msg, &nonce, recid)); -} - -void test_ecdsa_sign_verify(void) { - secp256k1_gej pubj; - secp256k1_ge pub; - secp256k1_scalar one; - secp256k1_scalar msg, key; - secp256k1_scalar sigr, sigs; - int recid; - int getrec; - random_scalar_order_test(&msg); - random_scalar_order_test(&key); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubj, &key); - secp256k1_ge_set_gej(&pub, &pubj); - getrec = secp256k1_rand_bits(1); - random_sign(&sigr, &sigs, &key, &msg, getrec?&recid:NULL); - if (getrec) { - CHECK(recid >= 0 && recid < 4); - } - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg)); - secp256k1_scalar_set_int(&one, 1); - secp256k1_scalar_add(&msg, &msg, &one); - CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg)); -} - -void run_ecdsa_sign_verify(void) { - int i; - for (i = 0; i < 10*count; i++) { - test_ecdsa_sign_verify(); - } -} - -/** Dummy nonce generation function that just uses a precomputed nonce, and fails if it is not accepted. Use only for testing. */ -static int precomputed_nonce_function(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int counter) { - (void)msg32; - (void)key32; - (void)algo16; - memcpy(nonce32, data, 32); - return (counter == 0); -} - -static int nonce_function_test_fail(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int counter) { - /* Dummy nonce generator that has a fatal error on the first counter value. */ - if (counter == 0) { - return 0; - } - return nonce_function_rfc6979(nonce32, msg32, key32, algo16, data, counter - 1); -} - -static int nonce_function_test_retry(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int counter) { - /* Dummy nonce generator that produces unacceptable nonces for the first several counter values. */ - if (counter < 3) { - memset(nonce32, counter==0 ? 0 : 255, 32); - if (counter == 2) { - nonce32[31]--; - } - return 1; - } - if (counter < 5) { - static const unsigned char order[] = { - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE, - 0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B, - 0xBF,0xD2,0x5E,0x8C,0xD0,0x36,0x41,0x41 - }; - memcpy(nonce32, order, 32); - if (counter == 4) { - nonce32[31]++; - } - return 1; - } - /* Retry rate of 6979 is negligible esp. as we only call this in deterministic tests. */ - /* If someone does fine a case where it retries for secp256k1, we'd like to know. */ - if (counter > 5) { - return 0; - } - return nonce_function_rfc6979(nonce32, msg32, key32, algo16, data, counter - 5); -} - -int is_empty_signature(const secp256k1_ecdsa_signature *sig) { - static const unsigned char res[sizeof(secp256k1_ecdsa_signature)] = {0}; - return memcmp(sig, res, sizeof(secp256k1_ecdsa_signature)) == 0; -} - -void test_ecdsa_end_to_end(void) { - unsigned char extra[32] = {0x00}; - unsigned char privkey[32]; - unsigned char message[32]; - unsigned char privkey2[32]; - secp256k1_ecdsa_signature signature[6]; - secp256k1_scalar r, s; - unsigned char sig[74]; - size_t siglen = 74; - unsigned char pubkeyc[65]; - size_t pubkeyclen = 65; - secp256k1_pubkey pubkey; - unsigned char seckey[300]; - size_t seckeylen = 300; - - /* Generate a random key and message. */ - { - secp256k1_scalar msg, key; - random_scalar_order_test(&msg); - random_scalar_order_test(&key); - secp256k1_scalar_get_b32(privkey, &key); - secp256k1_scalar_get_b32(message, &msg); - } - - /* Construct and verify corresponding public key. */ - CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); - - /* Verify exporting and importing public key. */ - CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyc, &pubkeyclen, &pubkey, secp256k1_rand_bits(1) == 1 ? SECP256K1_EC_COMPRESSED : SECP256K1_EC_UNCOMPRESSED)); - memset(&pubkey, 0, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 1); - - /* Verify private key import and export. */ - CHECK(ec_privkey_export_der(ctx, seckey, &seckeylen, privkey, secp256k1_rand_bits(1) == 1)); - CHECK(ec_privkey_import_der(ctx, privkey2, seckey, seckeylen) == 1); - CHECK(memcmp(privkey, privkey2, 32) == 0); - - /* Optionally tweak the keys using addition. */ - if (secp256k1_rand_int(3) == 0) { - int ret1; - int ret2; - unsigned char rnd[32]; - secp256k1_pubkey pubkey2; - secp256k1_rand256_test(rnd); - ret1 = secp256k1_ec_privkey_tweak_add(ctx, privkey, rnd); - ret2 = secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, rnd); - CHECK(ret1 == ret2); - if (ret1 == 0) { - return; - } - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey2, privkey) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); - } - - /* Optionally tweak the keys using multiplication. */ - if (secp256k1_rand_int(3) == 0) { - int ret1; - int ret2; - unsigned char rnd[32]; - secp256k1_pubkey pubkey2; - secp256k1_rand256_test(rnd); - ret1 = secp256k1_ec_privkey_tweak_mul(ctx, privkey, rnd); - ret2 = secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, rnd); - CHECK(ret1 == ret2); - if (ret1 == 0) { - return; - } - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey2, privkey) == 1); - CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); - } - - /* Sign. */ - CHECK(secp256k1_ecdsa_sign(ctx, &signature[0], message, privkey, NULL, NULL) == 1); - CHECK(secp256k1_ecdsa_sign(ctx, &signature[4], message, privkey, NULL, NULL) == 1); - CHECK(secp256k1_ecdsa_sign(ctx, &signature[1], message, privkey, NULL, extra) == 1); - extra[31] = 1; - CHECK(secp256k1_ecdsa_sign(ctx, &signature[2], message, privkey, NULL, extra) == 1); - extra[31] = 0; - extra[0] = 1; - CHECK(secp256k1_ecdsa_sign(ctx, &signature[3], message, privkey, NULL, extra) == 1); - CHECK(memcmp(&signature[0], &signature[4], sizeof(signature[0])) == 0); - CHECK(memcmp(&signature[0], &signature[1], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[0], &signature[2], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[0], &signature[3], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[1], &signature[2], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[1], &signature[3], sizeof(signature[0])) != 0); - CHECK(memcmp(&signature[2], &signature[3], sizeof(signature[0])) != 0); - /* Verify. */ - CHECK(secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[1], message, &pubkey) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[2], message, &pubkey) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[3], message, &pubkey) == 1); - /* Test lower-S form, malleate, verify and fail, test again, malleate again */ - CHECK(!secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[0])); - secp256k1_ecdsa_signature_load(ctx, &r, &s, &signature[0]); - secp256k1_scalar_negate(&s, &s); - secp256k1_ecdsa_signature_save(&signature[5], &r, &s); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 0); - CHECK(secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5])); - CHECK(secp256k1_ecdsa_signature_normalize(ctx, &signature[5], &signature[5])); - CHECK(!secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5])); - CHECK(!secp256k1_ecdsa_signature_normalize(ctx, &signature[5], &signature[5])); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 1); - secp256k1_scalar_negate(&s, &s); - secp256k1_ecdsa_signature_save(&signature[5], &r, &s); - CHECK(!secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5])); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 1); - CHECK(memcmp(&signature[5], &signature[0], 64) == 0); - - /* Serialize/parse DER and verify again */ - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, sig, &siglen, &signature[0]) == 1); - memset(&signature[0], 0, sizeof(signature[0])); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &signature[0], sig, siglen) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 1); - /* Serialize/destroy/parse DER and verify again. */ - siglen = 74; - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, sig, &siglen, &signature[0]) == 1); - sig[secp256k1_rand_int(siglen)] += 1 + secp256k1_rand_int(255); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &signature[0], sig, siglen) == 0 || - secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 0); -} - -void test_random_pubkeys(void) { - secp256k1_ge elem; - secp256k1_ge elem2; - unsigned char in[65]; - /* Generate some randomly sized pubkeys. */ - size_t len = secp256k1_rand_bits(2) == 0 ? 65 : 33; - if (secp256k1_rand_bits(2) == 0) { - len = secp256k1_rand_bits(6); - } - if (len == 65) { - in[0] = secp256k1_rand_bits(1) ? 4 : (secp256k1_rand_bits(1) ? 6 : 7); - } else { - in[0] = secp256k1_rand_bits(1) ? 2 : 3; - } - if (secp256k1_rand_bits(3) == 0) { - in[0] = secp256k1_rand_bits(8); - } - if (len > 1) { - secp256k1_rand256(&in[1]); - } - if (len > 33) { - secp256k1_rand256(&in[33]); - } - if (secp256k1_eckey_pubkey_parse(&elem, in, len)) { - unsigned char out[65]; - unsigned char firstb; - int res; - size_t size = len; - firstb = in[0]; - /* If the pubkey can be parsed, it should round-trip... */ - CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, len == 33)); - CHECK(size == len); - CHECK(memcmp(&in[1], &out[1], len-1) == 0); - /* ... except for the type of hybrid inputs. */ - if ((in[0] != 6) && (in[0] != 7)) { - CHECK(in[0] == out[0]); - } - size = 65; - CHECK(secp256k1_eckey_pubkey_serialize(&elem, in, &size, 0)); - CHECK(size == 65); - CHECK(secp256k1_eckey_pubkey_parse(&elem2, in, size)); - ge_equals_ge(&elem,&elem2); - /* Check that the X9.62 hybrid type is checked. */ - in[0] = secp256k1_rand_bits(1) ? 6 : 7; - res = secp256k1_eckey_pubkey_parse(&elem2, in, size); - if (firstb == 2 || firstb == 3) { - if (in[0] == firstb + 4) { - CHECK(res); - } else { - CHECK(!res); - } - } - if (res) { - ge_equals_ge(&elem,&elem2); - CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, 0)); - CHECK(memcmp(&in[1], &out[1], 64) == 0); - } - } -} - -void run_random_pubkeys(void) { - int i; - for (i = 0; i < 10*count; i++) { - test_random_pubkeys(); - } -} - -void run_ecdsa_end_to_end(void) { - int i; - for (i = 0; i < 64*count; i++) { - test_ecdsa_end_to_end(); - } -} - -int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_der, int certainly_not_der) { - static const unsigned char zeroes[32] = {0}; -#ifdef ENABLE_OPENSSL_TESTS - static const unsigned char max_scalar[32] = { - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, - 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40 - }; -#endif - - int ret = 0; - - secp256k1_ecdsa_signature sig_der; - unsigned char roundtrip_der[2048]; - unsigned char compact_der[64]; - size_t len_der = 2048; - int parsed_der = 0, valid_der = 0, roundtrips_der = 0; - - secp256k1_ecdsa_signature sig_der_lax; - unsigned char roundtrip_der_lax[2048]; - unsigned char compact_der_lax[64]; - size_t len_der_lax = 2048; - int parsed_der_lax = 0, valid_der_lax = 0, roundtrips_der_lax = 0; - -#ifdef ENABLE_OPENSSL_TESTS - ECDSA_SIG *sig_openssl; - const unsigned char *sigptr; - unsigned char roundtrip_openssl[2048]; - int len_openssl = 2048; - int parsed_openssl, valid_openssl = 0, roundtrips_openssl = 0; -#endif - - parsed_der = secp256k1_ecdsa_signature_parse_der(ctx, &sig_der, sig, siglen); - if (parsed_der) { - ret |= (!secp256k1_ecdsa_signature_serialize_compact(ctx, compact_der, &sig_der)) << 0; - valid_der = (memcmp(compact_der, zeroes, 32) != 0) && (memcmp(compact_der + 32, zeroes, 32) != 0); - } - if (valid_der) { - ret |= (!secp256k1_ecdsa_signature_serialize_der(ctx, roundtrip_der, &len_der, &sig_der)) << 1; - roundtrips_der = (len_der == siglen) && memcmp(roundtrip_der, sig, siglen) == 0; - } - - parsed_der_lax = ecdsa_signature_parse_der_lax(ctx, &sig_der_lax, sig, siglen); - if (parsed_der_lax) { - ret |= (!secp256k1_ecdsa_signature_serialize_compact(ctx, compact_der_lax, &sig_der_lax)) << 10; - valid_der_lax = (memcmp(compact_der_lax, zeroes, 32) != 0) && (memcmp(compact_der_lax + 32, zeroes, 32) != 0); - } - if (valid_der_lax) { - ret |= (!secp256k1_ecdsa_signature_serialize_der(ctx, roundtrip_der_lax, &len_der_lax, &sig_der_lax)) << 11; - roundtrips_der_lax = (len_der_lax == siglen) && memcmp(roundtrip_der_lax, sig, siglen) == 0; - } - - if (certainly_der) { - ret |= (!parsed_der) << 2; - } - if (certainly_not_der) { - ret |= (parsed_der) << 17; - } - if (valid_der) { - ret |= (!roundtrips_der) << 3; - } - - if (valid_der) { - ret |= (!roundtrips_der_lax) << 12; - ret |= (len_der != len_der_lax) << 13; - ret |= (memcmp(roundtrip_der_lax, roundtrip_der, len_der) != 0) << 14; - } - ret |= (roundtrips_der != roundtrips_der_lax) << 15; - if (parsed_der) { - ret |= (!parsed_der_lax) << 16; - } - -#ifdef ENABLE_OPENSSL_TESTS - sig_openssl = ECDSA_SIG_new(); - sigptr = sig; - parsed_openssl = (d2i_ECDSA_SIG(&sig_openssl, &sigptr, siglen) != NULL); - if (parsed_openssl) { - valid_openssl = !BN_is_negative(sig_openssl->r) && !BN_is_negative(sig_openssl->s) && BN_num_bits(sig_openssl->r) > 0 && BN_num_bits(sig_openssl->r) <= 256 && BN_num_bits(sig_openssl->s) > 0 && BN_num_bits(sig_openssl->s) <= 256; - if (valid_openssl) { - unsigned char tmp[32] = {0}; - BN_bn2bin(sig_openssl->r, tmp + 32 - BN_num_bytes(sig_openssl->r)); - valid_openssl = memcmp(tmp, max_scalar, 32) < 0; - } - if (valid_openssl) { - unsigned char tmp[32] = {0}; - BN_bn2bin(sig_openssl->s, tmp + 32 - BN_num_bytes(sig_openssl->s)); - valid_openssl = memcmp(tmp, max_scalar, 32) < 0; - } - } - len_openssl = i2d_ECDSA_SIG(sig_openssl, NULL); - if (len_openssl <= 2048) { - unsigned char *ptr = roundtrip_openssl; - CHECK(i2d_ECDSA_SIG(sig_openssl, &ptr) == len_openssl); - roundtrips_openssl = valid_openssl && ((size_t)len_openssl == siglen) && (memcmp(roundtrip_openssl, sig, siglen) == 0); - } else { - len_openssl = 0; - } - ECDSA_SIG_free(sig_openssl); - - ret |= (parsed_der && !parsed_openssl) << 4; - ret |= (valid_der && !valid_openssl) << 5; - ret |= (roundtrips_openssl && !parsed_der) << 6; - ret |= (roundtrips_der != roundtrips_openssl) << 7; - if (roundtrips_openssl) { - ret |= (len_der != (size_t)len_openssl) << 8; - ret |= (memcmp(roundtrip_der, roundtrip_openssl, len_der) != 0) << 9; - } -#endif - return ret; -} - -static void assign_big_endian(unsigned char *ptr, size_t ptrlen, uint32_t val) { - size_t i; - for (i = 0; i < ptrlen; i++) { - int shift = ptrlen - 1 - i; - if (shift >= 4) { - ptr[i] = 0; - } else { - ptr[i] = (val >> shift) & 0xFF; - } - } -} - -static void damage_array(unsigned char *sig, size_t *len) { - int pos; - int action = secp256k1_rand_bits(3); - if (action < 1 && *len > 3) { - /* Delete a byte. */ - pos = secp256k1_rand_int(*len); - memmove(sig + pos, sig + pos + 1, *len - pos - 1); - (*len)--; - return; - } else if (action < 2 && *len < 2048) { - /* Insert a byte. */ - pos = secp256k1_rand_int(1 + *len); - memmove(sig + pos + 1, sig + pos, *len - pos); - sig[pos] = secp256k1_rand_bits(8); - (*len)++; - return; - } else if (action < 4) { - /* Modify a byte. */ - sig[secp256k1_rand_int(*len)] += 1 + secp256k1_rand_int(255); - return; - } else { /* action < 8 */ - /* Modify a bit. */ - sig[secp256k1_rand_int(*len)] ^= 1 << secp256k1_rand_bits(3); - return; - } -} - -static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly_der, int* certainly_not_der) { - int der; - int nlow[2], nlen[2], nlenlen[2], nhbit[2], nhbyte[2], nzlen[2]; - size_t tlen, elen, glen; - int indet; - int n; - - *len = 0; - der = secp256k1_rand_bits(2) == 0; - *certainly_der = der; - *certainly_not_der = 0; - indet = der ? 0 : secp256k1_rand_int(10) == 0; - - for (n = 0; n < 2; n++) { - /* We generate two classes of numbers: nlow==1 "low" ones (up to 32 bytes), nlow==0 "high" ones (32 bytes with 129 top bits set, or larger than 32 bytes) */ - nlow[n] = der ? 1 : (secp256k1_rand_bits(3) != 0); - /* The length of the number in bytes (the first byte of which will always be nonzero) */ - nlen[n] = nlow[n] ? secp256k1_rand_int(33) : 32 + secp256k1_rand_int(200) * secp256k1_rand_int(8) / 8; - CHECK(nlen[n] <= 232); - /* The top bit of the number. */ - nhbit[n] = (nlow[n] == 0 && nlen[n] == 32) ? 1 : (nlen[n] == 0 ? 0 : secp256k1_rand_bits(1)); - /* The top byte of the number (after the potential hardcoded 16 0xFF characters for "high" 32 bytes numbers) */ - nhbyte[n] = nlen[n] == 0 ? 0 : (nhbit[n] ? 128 + secp256k1_rand_bits(7) : 1 + secp256k1_rand_int(127)); - /* The number of zero bytes in front of the number (which is 0 or 1 in case of DER, otherwise we extend up to 300 bytes) */ - nzlen[n] = der ? ((nlen[n] == 0 || nhbit[n]) ? 1 : 0) : (nlow[n] ? secp256k1_rand_int(3) : secp256k1_rand_int(300 - nlen[n]) * secp256k1_rand_int(8) / 8); - if (nzlen[n] > ((nlen[n] == 0 || nhbit[n]) ? 1 : 0)) { - *certainly_not_der = 1; - } - CHECK(nlen[n] + nzlen[n] <= 300); - /* The length of the length descriptor for the number. 0 means short encoding, anything else is long encoding. */ - nlenlen[n] = nlen[n] + nzlen[n] < 128 ? 0 : (nlen[n] + nzlen[n] < 256 ? 1 : 2); - if (!der) { - /* nlenlen[n] max 127 bytes */ - int add = secp256k1_rand_int(127 - nlenlen[n]) * secp256k1_rand_int(16) * secp256k1_rand_int(16) / 256; - nlenlen[n] += add; - if (add != 0) { - *certainly_not_der = 1; - } - } - CHECK(nlen[n] + nzlen[n] + nlenlen[n] <= 427); - } - - /* The total length of the data to go, so far */ - tlen = 2 + nlenlen[0] + nlen[0] + nzlen[0] + 2 + nlenlen[1] + nlen[1] + nzlen[1]; - CHECK(tlen <= 856); - - /* The length of the garbage inside the tuple. */ - elen = (der || indet) ? 0 : secp256k1_rand_int(980 - tlen) * secp256k1_rand_int(8) / 8; - if (elen != 0) { - *certainly_not_der = 1; - } - tlen += elen; - CHECK(tlen <= 980); - - /* The length of the garbage after the end of the tuple. */ - glen = der ? 0 : secp256k1_rand_int(990 - tlen) * secp256k1_rand_int(8) / 8; - if (glen != 0) { - *certainly_not_der = 1; - } - CHECK(tlen + glen <= 990); - - /* Write the tuple header. */ - sig[(*len)++] = 0x30; - if (indet) { - /* Indeterminate length */ - sig[(*len)++] = 0x80; - *certainly_not_der = 1; - } else { - int tlenlen = tlen < 128 ? 0 : (tlen < 256 ? 1 : 2); - if (!der) { - int add = secp256k1_rand_int(127 - tlenlen) * secp256k1_rand_int(16) * secp256k1_rand_int(16) / 256; - tlenlen += add; - if (add != 0) { - *certainly_not_der = 1; - } - } - if (tlenlen == 0) { - /* Short length notation */ - sig[(*len)++] = tlen; - } else { - /* Long length notation */ - sig[(*len)++] = 128 + tlenlen; - assign_big_endian(sig + *len, tlenlen, tlen); - *len += tlenlen; - } - tlen += tlenlen; - } - tlen += 2; - CHECK(tlen + glen <= 1119); - - for (n = 0; n < 2; n++) { - /* Write the integer header. */ - sig[(*len)++] = 0x02; - if (nlenlen[n] == 0) { - /* Short length notation */ - sig[(*len)++] = nlen[n] + nzlen[n]; - } else { - /* Long length notation. */ - sig[(*len)++] = 128 + nlenlen[n]; - assign_big_endian(sig + *len, nlenlen[n], nlen[n] + nzlen[n]); - *len += nlenlen[n]; - } - /* Write zero padding */ - while (nzlen[n] > 0) { - sig[(*len)++] = 0x00; - nzlen[n]--; - } - if (nlen[n] == 32 && !nlow[n]) { - /* Special extra 16 0xFF bytes in "high" 32-byte numbers */ - int i; - for (i = 0; i < 16; i++) { - sig[(*len)++] = 0xFF; - } - nlen[n] -= 16; - } - /* Write first byte of number */ - if (nlen[n] > 0) { - sig[(*len)++] = nhbyte[n]; - nlen[n]--; - } - /* Generate remaining random bytes of number */ - secp256k1_rand_bytes_test(sig + *len, nlen[n]); - *len += nlen[n]; - nlen[n] = 0; - } - - /* Generate random garbage inside tuple. */ - secp256k1_rand_bytes_test(sig + *len, elen); - *len += elen; - - /* Generate end-of-contents bytes. */ - if (indet) { - sig[(*len)++] = 0; - sig[(*len)++] = 0; - tlen += 2; - } - CHECK(tlen + glen <= 1121); - - /* Generate random garbage outside tuple. */ - secp256k1_rand_bytes_test(sig + *len, glen); - *len += glen; - tlen += glen; - CHECK(tlen <= 1121); - CHECK(tlen == *len); -} - -void run_ecdsa_der_parse(void) { - int i,j; - for (i = 0; i < 200 * count; i++) { - unsigned char buffer[2048]; - size_t buflen = 0; - int certainly_der = 0; - int certainly_not_der = 0; - random_ber_signature(buffer, &buflen, &certainly_der, &certainly_not_der); - CHECK(buflen <= 2048); - for (j = 0; j < 16; j++) { - int ret = 0; - if (j > 0) { - damage_array(buffer, &buflen); - /* We don't know anything anymore about the DERness of the result */ - certainly_der = 0; - certainly_not_der = 0; - } - ret = test_ecdsa_der_parse(buffer, buflen, certainly_der, certainly_not_der); - if (ret != 0) { - size_t k; - fprintf(stderr, "Failure %x on ", ret); - for (k = 0; k < buflen; k++) { - fprintf(stderr, "%02x ", buffer[k]); - } - fprintf(stderr, "\n"); - } - CHECK(ret == 0); - } - } -} - -/* Tests several edge cases. */ -void test_ecdsa_edge_cases(void) { - int t; - secp256k1_ecdsa_signature sig; - - /* Test the case where ECDSA recomputes a point that is infinity. */ - { - secp256k1_gej keyj; - secp256k1_ge key; - secp256k1_scalar msg; - secp256k1_scalar sr, ss; - secp256k1_scalar_set_int(&ss, 1); - secp256k1_scalar_negate(&ss, &ss); - secp256k1_scalar_inverse(&ss, &ss); - secp256k1_scalar_set_int(&sr, 1); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &keyj, &sr); - secp256k1_ge_set_gej(&key, &keyj); - msg = ss; - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - } - - /* Verify signature with r of zero fails. */ - { - const unsigned char pubkey_mods_zero[33] = { - 0x02, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xfe, 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, - 0x3b, 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, - 0x41 - }; - secp256k1_ge key; - secp256k1_scalar msg; - secp256k1_scalar sr, ss; - secp256k1_scalar_set_int(&ss, 1); - secp256k1_scalar_set_int(&msg, 0); - secp256k1_scalar_set_int(&sr, 0); - CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey_mods_zero, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - } - - /* Verify signature with s of zero fails. */ - { - const unsigned char pubkey[33] = { - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x01 - }; - secp256k1_ge key; - secp256k1_scalar msg; - secp256k1_scalar sr, ss; - secp256k1_scalar_set_int(&ss, 0); - secp256k1_scalar_set_int(&msg, 0); - secp256k1_scalar_set_int(&sr, 1); - CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - } - - /* Verify signature with message 0 passes. */ - { - const unsigned char pubkey[33] = { - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x02 - }; - const unsigned char pubkey2[33] = { - 0x02, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xfe, 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, - 0x3b, 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, - 0x43 - }; - secp256k1_ge key; - secp256k1_ge key2; - secp256k1_scalar msg; - secp256k1_scalar sr, ss; - secp256k1_scalar_set_int(&ss, 2); - secp256k1_scalar_set_int(&msg, 0); - secp256k1_scalar_set_int(&sr, 2); - CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); - CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); - secp256k1_scalar_negate(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); - secp256k1_scalar_set_int(&ss, 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0); - } - - /* Verify signature with message 1 passes. */ - { - const unsigned char pubkey[33] = { - 0x02, 0x14, 0x4e, 0x5a, 0x58, 0xef, 0x5b, 0x22, - 0x6f, 0xd2, 0xe2, 0x07, 0x6a, 0x77, 0xcf, 0x05, - 0xb4, 0x1d, 0xe7, 0x4a, 0x30, 0x98, 0x27, 0x8c, - 0x93, 0xe6, 0xe6, 0x3c, 0x0b, 0xc4, 0x73, 0x76, - 0x25 - }; - const unsigned char pubkey2[33] = { - 0x02, 0x8a, 0xd5, 0x37, 0xed, 0x73, 0xd9, 0x40, - 0x1d, 0xa0, 0x33, 0xd2, 0xdc, 0xf0, 0xaf, 0xae, - 0x34, 0xcf, 0x5f, 0x96, 0x4c, 0x73, 0x28, 0x0f, - 0x92, 0xc0, 0xf6, 0x9d, 0xd9, 0xb2, 0x09, 0x10, - 0x62 - }; - const unsigned char csr[32] = { - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - 0x45, 0x51, 0x23, 0x19, 0x50, 0xb7, 0x5f, 0xc4, - 0x40, 0x2d, 0xa1, 0x72, 0x2f, 0xc9, 0xba, 0xeb - }; - secp256k1_ge key; - secp256k1_ge key2; - secp256k1_scalar msg; - secp256k1_scalar sr, ss; - secp256k1_scalar_set_int(&ss, 1); - secp256k1_scalar_set_int(&msg, 1); - secp256k1_scalar_set_b32(&sr, csr, NULL); - CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); - CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); - secp256k1_scalar_negate(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); - secp256k1_scalar_set_int(&ss, 2); - secp256k1_scalar_inverse_var(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0); - } - - /* Verify signature with message -1 passes. */ - { - const unsigned char pubkey[33] = { - 0x03, 0xaf, 0x97, 0xff, 0x7d, 0x3a, 0xf6, 0xa0, - 0x02, 0x94, 0xbd, 0x9f, 0x4b, 0x2e, 0xd7, 0x52, - 0x28, 0xdb, 0x49, 0x2a, 0x65, 0xcb, 0x1e, 0x27, - 0x57, 0x9c, 0xba, 0x74, 0x20, 0xd5, 0x1d, 0x20, - 0xf1 - }; - const unsigned char csr[32] = { - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - 0x45, 0x51, 0x23, 0x19, 0x50, 0xb7, 0x5f, 0xc4, - 0x40, 0x2d, 0xa1, 0x72, 0x2f, 0xc9, 0xba, 0xee - }; - secp256k1_ge key; - secp256k1_scalar msg; - secp256k1_scalar sr, ss; - secp256k1_scalar_set_int(&ss, 1); - secp256k1_scalar_set_int(&msg, 1); - secp256k1_scalar_negate(&msg, &msg); - secp256k1_scalar_set_b32(&sr, csr, NULL); - CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - secp256k1_scalar_negate(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - secp256k1_scalar_set_int(&ss, 3); - secp256k1_scalar_inverse_var(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - } - - /* Signature where s would be zero. */ - { - secp256k1_pubkey pubkey; - size_t siglen; - int32_t ecount; - unsigned char signature[72]; - static const unsigned char nonce[32] = { - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - }; - static const unsigned char nonce2[32] = { - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE, - 0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B, - 0xBF,0xD2,0x5E,0x8C,0xD0,0x36,0x41,0x40 - }; - const unsigned char key[32] = { - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - }; - unsigned char msg[32] = { - 0x86, 0x41, 0x99, 0x81, 0x06, 0x23, 0x44, 0x53, - 0xaa, 0x5f, 0x9d, 0x6a, 0x31, 0x78, 0xf4, 0xf7, - 0xb8, 0x12, 0xe0, 0x0b, 0x81, 0x7a, 0x77, 0x62, - 0x65, 0xdf, 0xdd, 0x31, 0xb9, 0x3e, 0x29, 0xa9, - }; - ecount = 0; - secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce) == 0); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce2) == 0); - msg[31] = 0xaa; - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_sign(ctx, NULL, msg, key, precomputed_nonce_function, nonce2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, NULL, key, precomputed_nonce_function, nonce2) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, NULL, precomputed_nonce_function, nonce2) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce2) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, key) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, NULL, msg, &pubkey) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, NULL, &pubkey) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg, NULL) == 0); - CHECK(ecount == 6); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg, &pubkey) == 1); - CHECK(ecount == 6); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, NULL) == 0); - CHECK(ecount == 7); - /* That pubkeyload fails via an ARGCHECK is a little odd but makes sense because pubkeys are an opaque data type. */ - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg, &pubkey) == 0); - CHECK(ecount == 8); - siglen = 72; - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, NULL, &siglen, &sig) == 0); - CHECK(ecount == 9); - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, NULL, &sig) == 0); - CHECK(ecount == 10); - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, NULL) == 0); - CHECK(ecount == 11); - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 1); - CHECK(ecount == 11); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, NULL, signature, siglen) == 0); - CHECK(ecount == 12); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, NULL, siglen) == 0); - CHECK(ecount == 13); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, signature, siglen) == 1); - CHECK(ecount == 13); - siglen = 10; - /* Too little room for a signature does not fail via ARGCHECK. */ - CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 0); - CHECK(ecount == 13); - ecount = 0; - CHECK(secp256k1_ecdsa_signature_normalize(ctx, NULL, NULL) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_signature_serialize_compact(ctx, NULL, &sig) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_signature_serialize_compact(ctx, signature, NULL) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_signature_serialize_compact(ctx, signature, &sig) == 1); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, NULL, signature) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, &sig, NULL) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, &sig, signature) == 1); - CHECK(ecount == 5); - memset(signature, 255, 64); - CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, &sig, signature) == 0); - CHECK(ecount == 5); - secp256k1_context_set_illegal_callback(ctx, NULL, NULL); - } - - /* Nonce function corner cases. */ - for (t = 0; t < 2; t++) { - static const unsigned char zero[32] = {0x00}; - int i; - unsigned char key[32]; - unsigned char msg[32]; - secp256k1_ecdsa_signature sig2; - secp256k1_scalar sr[512], ss; - const unsigned char *extra; - extra = t == 0 ? NULL : zero; - memset(msg, 0, 32); - msg[31] = 1; - /* High key results in signature failure. */ - memset(key, 0xFF, 32); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, NULL, extra) == 0); - CHECK(is_empty_signature(&sig)); - /* Zero key results in signature failure. */ - memset(key, 0, 32); - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, NULL, extra) == 0); - CHECK(is_empty_signature(&sig)); - /* Nonce function failure results in signature failure. */ - key[31] = 1; - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, nonce_function_test_fail, extra) == 0); - CHECK(is_empty_signature(&sig)); - /* The retry loop successfully makes its way to the first good value. */ - CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, nonce_function_test_retry, extra) == 1); - CHECK(!is_empty_signature(&sig)); - CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, nonce_function_rfc6979, extra) == 1); - CHECK(!is_empty_signature(&sig2)); - CHECK(memcmp(&sig, &sig2, sizeof(sig)) == 0); - /* The default nonce function is deterministic. */ - CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1); - CHECK(!is_empty_signature(&sig2)); - CHECK(memcmp(&sig, &sig2, sizeof(sig)) == 0); - /* The default nonce function changes output with different messages. */ - for(i = 0; i < 256; i++) { - int j; - msg[0] = i; - CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1); - CHECK(!is_empty_signature(&sig2)); - secp256k1_ecdsa_signature_load(ctx, &sr[i], &ss, &sig2); - for (j = 0; j < i; j++) { - CHECK(!secp256k1_scalar_eq(&sr[i], &sr[j])); - } - } - msg[0] = 0; - msg[31] = 2; - /* The default nonce function changes output with different keys. */ - for(i = 256; i < 512; i++) { - int j; - key[0] = i - 256; - CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1); - CHECK(!is_empty_signature(&sig2)); - secp256k1_ecdsa_signature_load(ctx, &sr[i], &ss, &sig2); - for (j = 0; j < i; j++) { - CHECK(!secp256k1_scalar_eq(&sr[i], &sr[j])); - } - } - key[0] = 0; - } - - { - /* Check that optional nonce arguments do not have equivalent effect. */ - const unsigned char zeros[32] = {0}; - unsigned char nonce[32]; - unsigned char nonce2[32]; - unsigned char nonce3[32]; - unsigned char nonce4[32]; - VG_UNDEF(nonce,32); - VG_UNDEF(nonce2,32); - VG_UNDEF(nonce3,32); - VG_UNDEF(nonce4,32); - CHECK(nonce_function_rfc6979(nonce, zeros, zeros, NULL, NULL, 0) == 1); - VG_CHECK(nonce,32); - CHECK(nonce_function_rfc6979(nonce2, zeros, zeros, zeros, NULL, 0) == 1); - VG_CHECK(nonce2,32); - CHECK(nonce_function_rfc6979(nonce3, zeros, zeros, NULL, (void *)zeros, 0) == 1); - VG_CHECK(nonce3,32); - CHECK(nonce_function_rfc6979(nonce4, zeros, zeros, zeros, (void *)zeros, 0) == 1); - VG_CHECK(nonce4,32); - CHECK(memcmp(nonce, nonce2, 32) != 0); - CHECK(memcmp(nonce, nonce3, 32) != 0); - CHECK(memcmp(nonce, nonce4, 32) != 0); - CHECK(memcmp(nonce2, nonce3, 32) != 0); - CHECK(memcmp(nonce2, nonce4, 32) != 0); - CHECK(memcmp(nonce3, nonce4, 32) != 0); - } - - - /* Privkey export where pubkey is the point at infinity. */ - { - unsigned char privkey[300]; - unsigned char seckey[32] = { - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, - 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41, - }; - size_t outlen = 300; - CHECK(!ec_privkey_export_der(ctx, privkey, &outlen, seckey, 0)); - outlen = 300; - CHECK(!ec_privkey_export_der(ctx, privkey, &outlen, seckey, 1)); - } -} - -void run_ecdsa_edge_cases(void) { - test_ecdsa_edge_cases(); -} - -#ifdef ENABLE_OPENSSL_TESTS -EC_KEY *get_openssl_key(const unsigned char *key32) { - unsigned char privkey[300]; - size_t privkeylen; - const unsigned char* pbegin = privkey; - int compr = secp256k1_rand_bits(1); - EC_KEY *ec_key = EC_KEY_new_by_curve_name(NID_secp256k1); - CHECK(ec_privkey_export_der(ctx, privkey, &privkeylen, key32, compr)); - CHECK(d2i_ECPrivateKey(&ec_key, &pbegin, privkeylen)); - CHECK(EC_KEY_check_key(ec_key)); - return ec_key; -} - -void test_ecdsa_openssl(void) { - secp256k1_gej qj; - secp256k1_ge q; - secp256k1_scalar sigr, sigs; - secp256k1_scalar one; - secp256k1_scalar msg2; - secp256k1_scalar key, msg; - EC_KEY *ec_key; - unsigned int sigsize = 80; - size_t secp_sigsize = 80; - unsigned char message[32]; - unsigned char signature[80]; - unsigned char key32[32]; - secp256k1_rand256_test(message); - secp256k1_scalar_set_b32(&msg, message, NULL); - random_scalar_order_test(&key); - secp256k1_scalar_get_b32(key32, &key); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &qj, &key); - secp256k1_ge_set_gej(&q, &qj); - ec_key = get_openssl_key(key32); - CHECK(ec_key != NULL); - CHECK(ECDSA_sign(0, message, sizeof(message), signature, &sigsize, ec_key)); - CHECK(secp256k1_ecdsa_sig_parse(&sigr, &sigs, signature, sigsize)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &q, &msg)); - secp256k1_scalar_set_int(&one, 1); - secp256k1_scalar_add(&msg2, &msg, &one); - CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &q, &msg2)); - - random_sign(&sigr, &sigs, &key, &msg, NULL); - CHECK(secp256k1_ecdsa_sig_serialize(signature, &secp_sigsize, &sigr, &sigs)); - CHECK(ECDSA_verify(0, message, sizeof(message), signature, secp_sigsize, ec_key) == 1); - - EC_KEY_free(ec_key); -} - -void run_ecdsa_openssl(void) { - int i; - for (i = 0; i < 10*count; i++) { - test_ecdsa_openssl(); - } -} -#endif - -#ifdef ENABLE_MODULE_ECDH -# include "modules/ecdh/tests_impl.h" -#endif - -#ifdef ENABLE_MODULE_SCHNORR -# include "modules/schnorr/tests_impl.h" -#endif - -#ifdef ENABLE_MODULE_RECOVERY -# include "modules/recovery/tests_impl.h" -#endif - -int main(int argc, char **argv) { - unsigned char seed16[16] = {0}; - unsigned char run32[32] = {0}; - /* find iteration count */ - if (argc > 1) { - count = strtol(argv[1], NULL, 0); - } - - /* find random seed */ - if (argc > 2) { - int pos = 0; - const char* ch = argv[2]; - while (pos < 16 && ch[0] != 0 && ch[1] != 0) { - unsigned short sh; - if (sscanf(ch, "%2hx", &sh)) { - seed16[pos] = sh; - } else { - break; - } - ch += 2; - pos++; - } - } else { - FILE *frand = fopen("/dev/urandom", "r"); - if ((frand == NULL) || !fread(&seed16, sizeof(seed16), 1, frand)) { - uint64_t t = time(NULL) * (uint64_t)1337; - seed16[0] ^= t; - seed16[1] ^= t >> 8; - seed16[2] ^= t >> 16; - seed16[3] ^= t >> 24; - seed16[4] ^= t >> 32; - seed16[5] ^= t >> 40; - seed16[6] ^= t >> 48; - seed16[7] ^= t >> 56; - } - fclose(frand); - } - secp256k1_rand_seed(seed16); - - printf("test count = %i\n", count); - printf("random seed = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", seed16[0], seed16[1], seed16[2], seed16[3], seed16[4], seed16[5], seed16[6], seed16[7], seed16[8], seed16[9], seed16[10], seed16[11], seed16[12], seed16[13], seed16[14], seed16[15]); - - /* initialize */ - run_context_tests(); - ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - if (secp256k1_rand_bits(1)) { - secp256k1_rand256(run32); - CHECK(secp256k1_context_randomize(ctx, secp256k1_rand_bits(1) ? run32 : NULL)); - } - - run_rand_bits(); - run_rand_int(); - - run_sha256_tests(); - run_hmac_sha256_tests(); - run_rfc6979_hmac_sha256_tests(); - -#ifndef USE_NUM_NONE - /* num tests */ - run_num_smalltests(); -#endif - - /* scalar tests */ - run_scalar_tests(); - - /* field tests */ - run_field_inv(); - run_field_inv_var(); - run_field_inv_all_var(); - run_field_misc(); - run_field_convert(); - run_sqr(); - run_sqrt(); - - /* group tests */ - run_ge(); - run_group_decompress(); - - /* ecmult tests */ - run_wnaf(); - run_point_times_order(); - run_ecmult_chain(); - run_ecmult_constants(); - run_ecmult_gen_blind(); - run_ecmult_const_tests(); - run_ec_combine(); - - /* endomorphism tests */ -#ifdef USE_ENDOMORPHISM - run_endomorphism_tests(); -#endif - - /* EC point parser test */ - run_ec_pubkey_parse_test(); - - /* EC key edge cases */ - run_eckey_edge_case_test(); - -#ifdef ENABLE_MODULE_ECDH - /* ecdh tests */ - run_ecdh_tests(); -#endif - - /* ecdsa tests */ - run_random_pubkeys(); - run_ecdsa_der_parse(); - run_ecdsa_sign_verify(); - run_ecdsa_end_to_end(); - run_ecdsa_edge_cases(); -#ifdef ENABLE_OPENSSL_TESTS - run_ecdsa_openssl(); -#endif - -#ifdef ENABLE_MODULE_SCHNORR - /* Schnorr tests */ - run_schnorr_tests(); -#endif - -#ifdef ENABLE_MODULE_RECOVERY - /* ECDSA pubkey recovery tests */ - run_recovery_tests(); -#endif - - secp256k1_rand256(run32); - printf("random run = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", run32[0], run32[1], run32[2], run32[3], run32[4], run32[5], run32[6], run32[7], run32[8], run32[9], run32[10], run32[11], run32[12], run32[13], run32[14], run32[15]); - - /* shutdown */ - secp256k1_context_destroy(ctx); - - printf("no problems found\n"); - return 0; -} |