diff options
Diffstat (limited to 'crypto/secp256k1/libsecp256k1/src/tests.c')
| -rw-r--r-- | crypto/secp256k1/libsecp256k1/src/tests.c | 2357 |
1 files changed, 2357 insertions, 0 deletions
diff --git a/crypto/secp256k1/libsecp256k1/src/tests.c b/crypto/secp256k1/libsecp256k1/src/tests.c new file mode 100644 index 000000000..3366d90fc --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/tests.c @@ -0,0 +1,2357 @@ +/********************************************************************** + * 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 "include/secp256k1.h" +#include "secp256k1.c" +#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 + +static int count = 64; +static secp256k1_context *ctx = NULL; + +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_rand32() % 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_rand32() & 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_context *none = secp256k1_context_create(0); + 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; + + /*** 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); + } + + /*** 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); + + /* 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); +} + +/***** 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_rand32() % 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_rand32() % 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); +} + +/***** NUM TESTS *****/ + +#ifndef USE_NUM_NONE +void random_num_negate(secp256k1_num *num) { + if (secp256k1_rand32() & 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) { + secp256k1_num n1; + secp256k1_num n2; + secp256k1_num n1p2, n2p1, n1m2, n2m1; + int r = secp256k1_rand32(); + random_num_order_test(&n1); /* n1 = R1 */ + if (r & 1) { + random_num_negate(&n1); + } + random_num_order_test(&n2); /* n2 = R2 */ + if (r & 2) { + 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)); +} + +void run_num_smalltests(void) { + int i; + for (i = 0; i < 100*count; i++) { + test_num_negate(); + test_num_add_sub(); + } +} +#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_rand32() % 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 multipying 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_rand32() % 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_rand32() % 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)); + } + } + + { + /* 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_rand32() % 256; + 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 +} + +/***** 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_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_var(&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(0, xi, x); + for (i = 0; i < count; i++) { + size_t j; + size_t len = (secp256k1_rand32() & 15) + 1; + for (j = 0; j < len; j++) { + random_fe_non_zero(&x[j]); + } + secp256k1_fe_inv_all_var(len, xi, x); + for (j = 0; j < len; j++) { + CHECK(check_fe_inverse(&x[j], &xi[j])); + } + secp256k1_fe_inv_all_var(len, xii, xi); + 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_var(&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 eachother, 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(4 * runs + 1, zinv, zs); + 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_rand32() % (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(4 * runs + 1, ge_set_table, gej, zr); + secp256k1_ge_set_all_gej_var(4 * runs + 1, ge_set_all, gej, &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/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(); + } +} + +/***** 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; +#ifdef USE_ENDOMORPHISM + int skew; +#endif + 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); + } + skew = secp256k1_wnaf_const(wnaf, num, w); +#else + secp256k1_wnaf_const(wnaf, num, w); +#endif + + 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); + } +#ifdef USE_ENDOMORPHISM + /* Skew num because when encoding 128-bit numbers as odd we use an offset */ + secp256k1_scalar_cadd_bit(&num, skew == 2, 1); +#endif + 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)); + } +} + +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 affline 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 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_rand32()&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 determinstic 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[5]; + 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_rand32() % 2) == 1); + memset(&pubkey, 0, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 1); + + /* Verify private key import and export. */ + CHECK(secp256k1_ec_privkey_export(ctx, seckey, &seckeylen, privkey, (secp256k1_rand32() % 2) == 1) ? SECP256K1_EC_COMPRESSED : 0); + CHECK(secp256k1_ec_privkey_import(ctx, privkey2, seckey, seckeylen) == 1); + CHECK(memcmp(privkey, privkey2, 32) == 0); + + /* Optionally tweak the keys using addition. */ + if (secp256k1_rand32() % 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_rand32() % 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); + + /* 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_rand32() % siglen] += 1 + (secp256k1_rand32() % 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. */ + uint32_t r = secp256k1_rand32(); + size_t len = (r & 3) == 0 ? 65 : 33; + r>>=2; + if ((r & 3) == 0) { + len = (r & 252) >> 3; + } + r>>=8; + if (len == 65) { + in[0] = (r & 2) ? 4 : ((r & 1)? 6 : 7); + } else { + in[0] = (r & 1) ? 2 : 3; + } + r>>=2; + if ((r & 7) == 0) { + in[0] = (r & 2040) >> 3; + } + r>>=11; + 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) ? SECP256K1_EC_COMPRESSED : 0)); + 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] = (r & 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(); + } +} + +/* 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); + } + + /*Signature where s would be zero.*/ + { + unsigned char signature[72]; + size_t siglen; + 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, + }; + 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(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce2) == 1); + siglen = 72; + CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 1); + siglen = 10; + CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 0); + } + + /* 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 determinstic. */ + 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; + } + + /* 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(!secp256k1_ec_privkey_export(ctx, privkey, &outlen, seckey, 0)); + outlen = 300; + CHECK(!secp256k1_ec_privkey_export(ctx, privkey, &outlen, seckey, SECP256K1_EC_COMPRESSED)); + } +} + +void run_ecdsa_edge_cases(void) { + test_ecdsa_edge_cases(); +} + +#ifdef ENABLE_OPENSSL_TESTS +EC_KEY *get_openssl_key(const secp256k1_scalar *key) { + unsigned char privkey[300]; + size_t privkeylen; + const unsigned char* pbegin = privkey; + int compr = secp256k1_rand32() & 1; + EC_KEY *ec_key = EC_KEY_new_by_curve_name(NID_secp256k1); + CHECK(secp256k1_eckey_privkey_serialize(&ctx->ecmult_gen_ctx, privkey, &privkeylen, key, compr ? SECP256K1_EC_COMPRESSED : 0)); + 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]; + secp256k1_rand256_test(message); + secp256k1_scalar_set_b32(&msg, message, NULL); + random_scalar_order_test(&key); + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &qj, &key); + secp256k1_ge_set_gej(&q, &qj); + ec_key = get_openssl_key(&key); + 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_rand32() & 1) { + secp256k1_rand256(run32); + CHECK(secp256k1_context_randomize(ctx, (secp256k1_rand32() & 1) ? run32 : NULL)); + } + + 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(); + + /* 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 + +#ifdef ENABLE_MODULE_ECDH + /* ecdh tests */ + run_ecdh_tests(); +#endif + + /* ecdsa tests */ + run_random_pubkeys(); + 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; +} |