diff options
Diffstat (limited to 'src')
54 files changed, 6254 insertions, 1653 deletions
diff --git a/src/basic-config.h b/src/basic-config.h new file mode 100644 index 0000000000..c4c16eb7ca --- /dev/null +++ b/src/basic-config.h @@ -0,0 +1,32 @@ +/********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef _SECP256K1_BASIC_CONFIG_ +#define _SECP256K1_BASIC_CONFIG_ + +#ifdef USE_BASIC_CONFIG + +#undef USE_ASM_X86_64 +#undef USE_ENDOMORPHISM +#undef USE_FIELD_10X26 +#undef USE_FIELD_5X52 +#undef USE_FIELD_INV_BUILTIN +#undef USE_FIELD_INV_NUM +#undef USE_NUM_GMP +#undef USE_NUM_NONE +#undef USE_SCALAR_4X64 +#undef USE_SCALAR_8X32 +#undef USE_SCALAR_INV_BUILTIN +#undef USE_SCALAR_INV_NUM + +#define USE_NUM_NONE 1 +#define USE_FIELD_INV_BUILTIN 1 +#define USE_SCALAR_INV_BUILTIN 1 +#define USE_FIELD_10X26 1 +#define USE_SCALAR_8X32 1 + +#endif // USE_BASIC_CONFIG +#endif // _SECP256K1_BASIC_CONFIG_ diff --git a/src/bench.h b/src/bench.h index db5f68cee1..3a71b4aafa 100644 --- a/src/bench.h +++ b/src/bench.h @@ -20,7 +20,9 @@ static double gettimedouble(void) { void print_number(double x) { double y = x; int c = 0; - if (y < 0.0) y = -y; + if (y < 0.0) { + y = -y; + } while (y < 100.0) { y *= 10.0; c++; @@ -35,13 +37,21 @@ void run_benchmark(char *name, void (*benchmark)(void*), void (*setup)(void*), v double max = 0.0; for (i = 0; i < count; i++) { double begin, total; - if (setup) setup(data); + if (setup != NULL) { + setup(data); + } begin = gettimedouble(); benchmark(data); total = gettimedouble() - begin; - if (teardown) teardown(data); - if (total < min) min = total; - if (total > max) max = total; + if (teardown != NULL) { + teardown(data); + } + if (total < min) { + min = total; + } + if (total > max) { + max = total; + } sum += total; } printf("%s: min ", name); diff --git a/src/bench_ecdh.c b/src/bench_ecdh.c new file mode 100644 index 0000000000..5a7c6376e0 --- /dev/null +++ b/src/bench_ecdh.c @@ -0,0 +1,53 @@ +/********************************************************************** + * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#include <string.h> + +#include "include/secp256k1.h" +#include "include/secp256k1_ecdh.h" +#include "util.h" +#include "bench.h" + +typedef struct { + secp256k1_context *ctx; + secp256k1_pubkey point; + unsigned char scalar[32]; +} bench_ecdh_t; + +static void bench_ecdh_setup(void* arg) { + int i; + bench_ecdh_t *data = (bench_ecdh_t*)arg; + const unsigned char point[] = { + 0x03, + 0x54, 0x94, 0xc1, 0x5d, 0x32, 0x09, 0x97, 0x06, + 0xc2, 0x39, 0x5f, 0x94, 0x34, 0x87, 0x45, 0xfd, + 0x75, 0x7c, 0xe3, 0x0e, 0x4e, 0x8c, 0x90, 0xfb, + 0xa2, 0xba, 0xd1, 0x84, 0xf8, 0x83, 0xc6, 0x9f + }; + + data->ctx = secp256k1_context_create(0); + for (i = 0; i < 32; i++) { + data->scalar[i] = i + 1; + } + CHECK(secp256k1_ec_pubkey_parse(data->ctx, &data->point, point, sizeof(point)) == 1); +} + +static void bench_ecdh(void* arg) { + int i; + unsigned char res[32]; + bench_ecdh_t *data = (bench_ecdh_t*)arg; + + for (i = 0; i < 20000; i++) { + CHECK(secp256k1_ecdh(data->ctx, res, &data->point, data->scalar) == 1); + } +} + +int main(void) { + bench_ecdh_t data; + + run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, 20000); + return 0; +} diff --git a/src/bench_internal.c b/src/bench_internal.c index a960549b94..7809f5f8cf 100644 --- a/src/bench_internal.c +++ b/src/bench_internal.c @@ -13,15 +13,17 @@ #include "field_impl.h" #include "group_impl.h" #include "scalar_impl.h" +#include "ecmult_const_impl.h" #include "ecmult_impl.h" #include "bench.h" +#include "secp256k1.c" typedef struct { - secp256k1_scalar_t scalar_x, scalar_y; - secp256k1_fe_t fe_x, fe_y; - secp256k1_ge_t ge_x, ge_y; - secp256k1_gej_t gej_x, gej_y; - unsigned char data[32]; + secp256k1_scalar scalar_x, scalar_y; + secp256k1_fe fe_x, fe_y; + secp256k1_ge ge_x, ge_y; + secp256k1_gej gej_x, gej_y; + unsigned char data[64]; int wnaf[256]; } bench_inv_t; @@ -51,6 +53,7 @@ void bench_setup(void* arg) { secp256k1_gej_set_ge(&data->gej_x, &data->ge_x); secp256k1_gej_set_ge(&data->gej_y, &data->ge_y); memcpy(data->data, init_x, 32); + memcpy(data->data + 32, init_y, 32); } void bench_scalar_add(void* arg) { @@ -95,8 +98,8 @@ void bench_scalar_split(void* arg) { bench_inv_t *data = (bench_inv_t*)arg; for (i = 0; i < 20000; i++) { - secp256k1_scalar_t l, r; - secp256k1_scalar_split_lambda_var(&l, &r, &data->scalar_x); + secp256k1_scalar l, r; + secp256k1_scalar_split_lambda(&l, &r, &data->scalar_x); secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y); } } @@ -193,7 +196,7 @@ void bench_group_double_var(void* arg) { bench_inv_t *data = (bench_inv_t*)arg; for (i = 0; i < 200000; i++) { - secp256k1_gej_double_var(&data->gej_x, &data->gej_x); + secp256k1_gej_double_var(&data->gej_x, &data->gej_x, NULL); } } @@ -202,7 +205,7 @@ void bench_group_add_var(void* arg) { bench_inv_t *data = (bench_inv_t*)arg; for (i = 0; i < 200000; i++) { - secp256k1_gej_add_var(&data->gej_x, &data->gej_x, &data->gej_y); + secp256k1_gej_add_var(&data->gej_x, &data->gej_x, &data->gej_y, NULL); } } @@ -220,7 +223,7 @@ void bench_group_add_affine_var(void* arg) { bench_inv_t *data = (bench_inv_t*)arg; for (i = 0; i < 200000; i++) { - secp256k1_gej_add_ge_var(&data->gej_x, &data->gej_x, &data->ge_y); + secp256k1_gej_add_ge_var(&data->gej_x, &data->gej_x, &data->ge_y, NULL); } } @@ -229,7 +232,17 @@ void bench_ecmult_wnaf(void* arg) { bench_inv_t *data = (bench_inv_t*)arg; for (i = 0; i < 20000; i++) { - secp256k1_ecmult_wnaf(data->wnaf, &data->scalar_x, WINDOW_A); + secp256k1_ecmult_wnaf(data->wnaf, 256, &data->scalar_x, WINDOW_A); + secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y); + } +} + +void bench_wnaf_const(void* arg) { + int i; + bench_inv_t *data = (bench_inv_t*)arg; + + for (i = 0; i < 20000; i++) { + secp256k1_wnaf_const(data->wnaf, data->scalar_x, WINDOW_A); secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y); } } @@ -265,11 +278,27 @@ void bench_rfc6979_hmac_sha256(void* arg) { secp256k1_rfc6979_hmac_sha256_t rng; for (i = 0; i < 20000; i++) { - secp256k1_rfc6979_hmac_sha256_initialize(&rng, data->data, 32, data->data, 32, NULL, 0); + secp256k1_rfc6979_hmac_sha256_initialize(&rng, data->data, 64); secp256k1_rfc6979_hmac_sha256_generate(&rng, data->data, 32); } } +void bench_context_verify(void* arg) { + int i; + (void)arg; + for (i = 0; i < 20; i++) { + secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_VERIFY)); + } +} + +void bench_context_sign(void* arg) { + int i; + (void)arg; + for (i = 0; i < 200; i++) { + secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_SIGN)); + } +} + int have_flag(int argc, char** argv, char *flag) { char** argm = argv + argc; @@ -278,7 +307,9 @@ int have_flag(int argc, char** argv, char *flag) { return 1; } while (argv != NULL && argv != argm) { - if (strcmp(*argv, flag) == 0) return 1; + if (strcmp(*argv, flag) == 0) { + return 1; + } argv++; } return 0; @@ -309,10 +340,15 @@ int main(int argc, char **argv) { if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine", bench_group_add_affine, bench_setup, NULL, &data, 10, 200000); if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine_var", bench_group_add_affine_var, bench_setup, NULL, &data, 10, 200000); + if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("wnaf_const", bench_wnaf_const, bench_setup, NULL, &data, 10, 20000); if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("ecmult_wnaf", bench_ecmult_wnaf, bench_setup, NULL, &data, 10, 20000); if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "sha256")) run_benchmark("hash_sha256", bench_sha256, bench_setup, NULL, &data, 10, 20000); if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "hmac")) run_benchmark("hash_hmac_sha256", bench_hmac_sha256, bench_setup, NULL, &data, 10, 20000); if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "rng6979")) run_benchmark("hash_rfc6979_hmac_sha256", bench_rfc6979_hmac_sha256, bench_setup, NULL, &data, 10, 20000); + + if (have_flag(argc, argv, "context") || have_flag(argc, argv, "verify")) run_benchmark("context_verify", bench_context_verify, bench_setup, NULL, &data, 10, 20); + if (have_flag(argc, argv, "context") || have_flag(argc, argv, "sign")) run_benchmark("context_sign", bench_context_sign, bench_setup, NULL, &data, 10, 200); + return 0; } diff --git a/src/bench_recover.c b/src/bench_recover.c index 56faed11a0..6489378cc6 100644 --- a/src/bench_recover.c +++ b/src/bench_recover.c @@ -1,15 +1,16 @@ /********************************************************************** - * Copyright (c) 2014 Pieter Wuille * + * Copyright (c) 2014-2015 Pieter Wuille * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ #include "include/secp256k1.h" +#include "include/secp256k1_recovery.h" #include "util.h" #include "bench.h" typedef struct { - secp256k1_context_t *ctx; + secp256k1_context *ctx; unsigned char msg[32]; unsigned char sig[64]; } bench_recover_t; @@ -17,16 +18,20 @@ typedef struct { void bench_recover(void* arg) { int i; bench_recover_t *data = (bench_recover_t*)arg; - unsigned char pubkey[33]; + secp256k1_pubkey pubkey; + unsigned char pubkeyc[33]; for (i = 0; i < 20000; i++) { int j; - int pubkeylen = 33; - CHECK(secp256k1_ecdsa_recover_compact(data->ctx, data->msg, data->sig, pubkey, &pubkeylen, 1, i % 2)); + size_t pubkeylen = 33; + secp256k1_ecdsa_recoverable_signature sig; + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(data->ctx, &sig, data->sig, i % 2)); + CHECK(secp256k1_ecdsa_recover(data->ctx, &pubkey, &sig, data->msg)); + CHECK(secp256k1_ec_pubkey_serialize(data->ctx, pubkeyc, &pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED)); for (j = 0; j < 32; j++) { data->sig[j + 32] = data->msg[j]; /* Move former message to S. */ data->msg[j] = data->sig[j]; /* Move former R to message. */ - data->sig[j] = pubkey[j + 1]; /* Move recovered pubkey X coordinate to R (which must be a valid X coordinate). */ + data->sig[j] = pubkeyc[j + 1]; /* Move recovered pubkey X coordinate to R (which must be a valid X coordinate). */ } } } @@ -35,8 +40,12 @@ void bench_recover_setup(void* arg) { int i; bench_recover_t *data = (bench_recover_t*)arg; - for (i = 0; i < 32; i++) data->msg[i] = 1 + i; - for (i = 0; i < 64; i++) data->sig[i] = 65 + i; + for (i = 0; i < 32; i++) { + data->msg[i] = 1 + i; + } + for (i = 0; i < 64; i++) { + data->sig[i] = 65 + i; + } } int main(void) { diff --git a/src/bench_schnorr_verify.c b/src/bench_schnorr_verify.c new file mode 100644 index 0000000000..5f137dda23 --- /dev/null +++ b/src/bench_schnorr_verify.c @@ -0,0 +1,73 @@ +/********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#include <stdio.h> +#include <string.h> + +#include "include/secp256k1.h" +#include "include/secp256k1_schnorr.h" +#include "util.h" +#include "bench.h" + +typedef struct { + unsigned char key[32]; + unsigned char sig[64]; + unsigned char pubkey[33]; + size_t pubkeylen; +} benchmark_schnorr_sig_t; + +typedef struct { + secp256k1_context *ctx; + unsigned char msg[32]; + benchmark_schnorr_sig_t sigs[64]; + int numsigs; +} benchmark_schnorr_verify_t; + +static void benchmark_schnorr_init(void* arg) { + int i, k; + benchmark_schnorr_verify_t* data = (benchmark_schnorr_verify_t*)arg; + + for (i = 0; i < 32; i++) { + data->msg[i] = 1 + i; + } + for (k = 0; k < data->numsigs; k++) { + secp256k1_pubkey pubkey; + for (i = 0; i < 32; i++) { + data->sigs[k].key[i] = 33 + i + k; + } + secp256k1_schnorr_sign(data->ctx, data->sigs[k].sig, data->msg, data->sigs[k].key, NULL, NULL); + data->sigs[k].pubkeylen = 33; + CHECK(secp256k1_ec_pubkey_create(data->ctx, &pubkey, data->sigs[k].key)); + CHECK(secp256k1_ec_pubkey_serialize(data->ctx, data->sigs[k].pubkey, &data->sigs[k].pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED)); + } +} + +static void benchmark_schnorr_verify(void* arg) { + int i; + benchmark_schnorr_verify_t* data = (benchmark_schnorr_verify_t*)arg; + + for (i = 0; i < 20000 / data->numsigs; i++) { + secp256k1_pubkey pubkey; + data->sigs[0].sig[(i >> 8) % 64] ^= (i & 0xFF); + CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pubkey, data->sigs[0].pubkey, data->sigs[0].pubkeylen)); + CHECK(secp256k1_schnorr_verify(data->ctx, data->sigs[0].sig, data->msg, &pubkey) == ((i & 0xFF) == 0)); + data->sigs[0].sig[(i >> 8) % 64] ^= (i & 0xFF); + } +} + + + +int main(void) { + benchmark_schnorr_verify_t data; + + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + + data.numsigs = 1; + run_benchmark("schnorr_verify", benchmark_schnorr_verify, benchmark_schnorr_init, NULL, &data, 10, 20000); + + secp256k1_context_destroy(data.ctx); + return 0; +} diff --git a/src/bench_sign.c b/src/bench_sign.c index 072a37af51..ed7224d757 100644 --- a/src/bench_sign.c +++ b/src/bench_sign.c @@ -9,7 +9,7 @@ #include "bench.h" typedef struct { - secp256k1_context_t* ctx; + secp256k1_context* ctx; unsigned char msg[32]; unsigned char key[32]; } bench_sign_t; @@ -18,22 +18,28 @@ static void bench_sign_setup(void* arg) { int i; bench_sign_t *data = (bench_sign_t*)arg; - for (i = 0; i < 32; i++) data->msg[i] = i + 1; - for (i = 0; i < 32; i++) data->key[i] = i + 65; + for (i = 0; i < 32; i++) { + data->msg[i] = i + 1; + } + for (i = 0; i < 32; i++) { + data->key[i] = i + 65; + } } static void bench_sign(void* arg) { int i; bench_sign_t *data = (bench_sign_t*)arg; - unsigned char sig[64]; + unsigned char sig[74]; for (i = 0; i < 20000; i++) { + size_t siglen = 74; int j; - int recid = 0; - CHECK(secp256k1_ecdsa_sign_compact(data->ctx, data->msg, sig, data->key, NULL, NULL, &recid)); + secp256k1_ecdsa_signature signature; + CHECK(secp256k1_ecdsa_sign(data->ctx, &signature, data->msg, data->key, NULL, NULL)); + CHECK(secp256k1_ecdsa_signature_serialize_der(data->ctx, sig, &siglen, &signature)); for (j = 0; j < 32; j++) { - data->msg[j] = sig[j]; /* Move former R to message. */ - data->key[j] = sig[j + 32]; /* Move former S to key. */ + data->msg[j] = sig[j]; + data->key[j] = sig[j + 32]; } } } diff --git a/src/bench_verify.c b/src/bench_verify.c index c8c82752ce..5718320cda 100644 --- a/src/bench_verify.c +++ b/src/bench_verify.c @@ -12,13 +12,13 @@ #include "bench.h" typedef struct { - secp256k1_context_t *ctx; + secp256k1_context *ctx; unsigned char msg[32]; unsigned char key[32]; unsigned char sig[72]; - int siglen; + size_t siglen; unsigned char pubkey[33]; - int pubkeylen; + size_t pubkeylen; } benchmark_verify_t; static void benchmark_verify(void* arg) { @@ -26,10 +26,14 @@ static void benchmark_verify(void* arg) { benchmark_verify_t* data = (benchmark_verify_t*)arg; for (i = 0; i < 20000; i++) { + secp256k1_pubkey pubkey; + secp256k1_ecdsa_signature sig; data->sig[data->siglen - 1] ^= (i & 0xFF); data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); - CHECK(secp256k1_ecdsa_verify(data->ctx, data->msg, data->sig, data->siglen, data->pubkey, data->pubkeylen) == (i == 0)); + CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pubkey, data->pubkey, data->pubkeylen) == 1); + CHECK(secp256k1_ecdsa_signature_parse_der(data->ctx, &sig, data->sig, data->siglen) == 1); + CHECK(secp256k1_ecdsa_verify(data->ctx, &sig, data->msg, &pubkey) == (i == 0)); data->sig[data->siglen - 1] ^= (i & 0xFF); data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); @@ -38,16 +42,24 @@ static void benchmark_verify(void* arg) { int main(void) { int i; + secp256k1_pubkey pubkey; + secp256k1_ecdsa_signature sig; benchmark_verify_t data; data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - for (i = 0; i < 32; i++) data.msg[i] = 1 + i; - for (i = 0; i < 32; i++) data.key[i] = 33 + i; + for (i = 0; i < 32; i++) { + data.msg[i] = 1 + i; + } + for (i = 0; i < 32; i++) { + data.key[i] = 33 + i; + } data.siglen = 72; - secp256k1_ecdsa_sign(data.ctx, data.msg, data.sig, &data.siglen, data.key, NULL, NULL); + CHECK(secp256k1_ecdsa_sign(data.ctx, &sig, data.msg, data.key, NULL, NULL)); + CHECK(secp256k1_ecdsa_signature_serialize_der(data.ctx, data.sig, &data.siglen, &sig)); + CHECK(secp256k1_ec_pubkey_create(data.ctx, &pubkey, data.key)); data.pubkeylen = 33; - CHECK(secp256k1_ec_pubkey_create(data.ctx, data.pubkey, &data.pubkeylen, data.key, 1)); + CHECK(secp256k1_ec_pubkey_serialize(data.ctx, data.pubkey, &data.pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED) == 1); run_benchmark("ecdsa_verify", benchmark_verify, NULL, NULL, &data, 10, 20000); diff --git a/src/ecdsa.h b/src/ecdsa.h index 4ef78e8afb..54ae101b92 100644 --- a/src/ecdsa.h +++ b/src/ecdsa.h @@ -7,18 +7,15 @@ #ifndef _SECP256K1_ECDSA_ #define _SECP256K1_ECDSA_ +#include <stddef.h> + #include "scalar.h" #include "group.h" #include "ecmult.h" -typedef struct { - secp256k1_scalar_t r, s; -} secp256k1_ecdsa_sig_t; - -static int secp256k1_ecdsa_sig_parse(secp256k1_ecdsa_sig_t *r, const unsigned char *sig, int size); -static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, int *size, const secp256k1_ecdsa_sig_t *a); -static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context_t *ctx, const secp256k1_ecdsa_sig_t *sig, const secp256k1_ge_t *pubkey, const secp256k1_scalar_t *message); -static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context_t *ctx, secp256k1_ecdsa_sig_t *sig, const secp256k1_scalar_t *seckey, const secp256k1_scalar_t *message, const secp256k1_scalar_t *nonce, int *recid); -static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context_t *ctx, const secp256k1_ecdsa_sig_t *sig, secp256k1_ge_t *pubkey, const secp256k1_scalar_t *message, int recid); +static int secp256k1_ecdsa_sig_parse(secp256k1_scalar *r, secp256k1_scalar *s, const unsigned char *sig, size_t size); +static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const secp256k1_scalar *r, const secp256k1_scalar *s); +static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message); +static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_scalar *seckey, const secp256k1_scalar *message, const secp256k1_scalar *nonce, int *recid); #endif diff --git a/src/ecdsa_impl.h b/src/ecdsa_impl.h index ed1d228189..d110b4bb1d 100644 --- a/src/ecdsa_impl.h +++ b/src/ecdsa_impl.h @@ -1,5 +1,5 @@ /********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * + * Copyright (c) 2013-2015 Pieter Wuille * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ @@ -28,7 +28,7 @@ * sage: '%x' % (EllipticCurve ([F (a), F (b)]).order()) * 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141' */ -static const secp256k1_fe_t secp256k1_ecdsa_const_order_as_fe = SECP256K1_FE_CONST( +static const secp256k1_fe secp256k1_ecdsa_const_order_as_fe = SECP256K1_FE_CONST( 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, 0xBAAEDCE6UL, 0xAF48A03BUL, 0xBFD25E8CUL, 0xD0364141UL ); @@ -42,82 +42,150 @@ static const secp256k1_fe_t secp256k1_ecdsa_const_order_as_fe = SECP256K1_FE_CON * sage: '%x' % (p - EllipticCurve ([F (a), F (b)]).order()) * '14551231950b75fc4402da1722fc9baee' */ -static const secp256k1_fe_t secp256k1_ecdsa_const_p_minus_order = SECP256K1_FE_CONST( +static const secp256k1_fe secp256k1_ecdsa_const_p_minus_order = SECP256K1_FE_CONST( 0, 0, 0, 1, 0x45512319UL, 0x50B75FC4UL, 0x402DA172UL, 0x2FC9BAEEUL ); -static int secp256k1_ecdsa_sig_parse(secp256k1_ecdsa_sig_t *r, const unsigned char *sig, int size) { - unsigned char ra[32] = {0}, sa[32] = {0}; - const unsigned char *rp; - const unsigned char *sp; - int lenr; - int lens; - int overflow; - if (sig[0] != 0x30) { - return 0; +static int secp256k1_der_read_len(const unsigned char **sigp, const unsigned char *sigend) { + int lenleft, b1; + size_t ret = 0; + if (*sigp >= sigend) { + return -1; } - lenr = sig[3]; - if (5+lenr >= size) { - return 0; + b1 = *((*sigp)++); + if (b1 == 0xFF) { + /* X.690-0207 8.1.3.5.c the value 0xFF shall not be used. */ + return -1; } - lens = sig[lenr+5]; - if (sig[1] != lenr+lens+4) { - return 0; + if ((b1 & 0x80) == 0) { + /* X.690-0207 8.1.3.4 short form length octets */ + return b1; } - if (lenr+lens+6 > size) { - return 0; + if (b1 == 0x80) { + /* Indefinite length is not allowed in DER. */ + return -1; + } + /* X.690-207 8.1.3.5 long form length octets */ + lenleft = b1 & 0x7F; + if (lenleft > sigend - *sigp) { + return -1; + } + if (**sigp == 0) { + /* Not the shortest possible length encoding. */ + return -1; + } + if ((size_t)lenleft > sizeof(size_t)) { + /* The resulting length would exceed the range of a size_t, so + * certainly longer than the passed array size. + */ + return -1; + } + while (lenleft > 0) { + if ((ret >> ((sizeof(size_t) - 1) * 8)) != 0) { + } + ret = (ret << 8) | **sigp; + if (ret + lenleft > (size_t)(sigend - *sigp)) { + /* Result exceeds the length of the passed array. */ + return -1; + } + (*sigp)++; + lenleft--; + } + if (ret < 128) { + /* Not the shortest possible length encoding. */ + return -1; } - if (sig[2] != 0x02) { + return ret; +} + +static int secp256k1_der_parse_integer(secp256k1_scalar *r, const unsigned char **sig, const unsigned char *sigend) { + int overflow = 0; + unsigned char ra[32] = {0}; + int rlen; + + if (*sig == sigend || **sig != 0x02) { + /* Not a primitive integer (X.690-0207 8.3.1). */ return 0; } - if (lenr == 0) { + (*sig)++; + rlen = secp256k1_der_read_len(sig, sigend); + if (rlen <= 0 || (*sig) + rlen > sigend) { + /* Exceeds bounds or not at least length 1 (X.690-0207 8.3.1). */ return 0; } - if (sig[lenr+4] != 0x02) { + if (**sig == 0x00 && rlen > 1 && (((*sig)[1]) & 0x80) == 0x00) { + /* Excessive 0x00 padding. */ return 0; } - if (lens == 0) { + if (**sig == 0xFF && rlen > 1 && (((*sig)[1]) & 0x80) == 0x80) { + /* Excessive 0xFF padding. */ return 0; } - sp = sig + 6 + lenr; - while (lens > 0 && sp[0] == 0) { - lens--; - sp++; + if ((**sig & 0x80) == 0x80) { + /* Negative. */ + overflow = 1; + } + while (rlen > 0 && **sig == 0) { + /* Skip leading zero bytes */ + rlen--; + (*sig)++; } - if (lens > 32) { + if (rlen > 32) { + overflow = 1; + } + if (!overflow) { + memcpy(ra + 32 - rlen, *sig, rlen); + secp256k1_scalar_set_b32(r, ra, &overflow); + } + if (overflow) { + secp256k1_scalar_set_int(r, 0); + } + (*sig) += rlen; + return 1; +} + +static int secp256k1_ecdsa_sig_parse(secp256k1_scalar *rr, secp256k1_scalar *rs, const unsigned char *sig, size_t size) { + const unsigned char *sigend = sig + size; + int rlen; + if (sig == sigend || *(sig++) != 0x30) { + /* The encoding doesn't start with a constructed sequence (X.690-0207 8.9.1). */ return 0; } - rp = sig + 4; - while (lenr > 0 && rp[0] == 0) { - lenr--; - rp++; + rlen = secp256k1_der_read_len(&sig, sigend); + if (rlen < 0 || sig + rlen > sigend) { + /* Tuple exceeds bounds */ + return 0; } - if (lenr > 32) { + if (sig + rlen != sigend) { + /* Garbage after tuple. */ return 0; } - memcpy(ra + 32 - lenr, rp, lenr); - memcpy(sa + 32 - lens, sp, lens); - overflow = 0; - secp256k1_scalar_set_b32(&r->r, ra, &overflow); - if (overflow) { + + if (!secp256k1_der_parse_integer(rr, &sig, sigend)) { return 0; } - secp256k1_scalar_set_b32(&r->s, sa, &overflow); - if (overflow) { + if (!secp256k1_der_parse_integer(rs, &sig, sigend)) { return 0; } + + if (sig != sigend) { + /* Trailing garbage inside tuple. */ + return 0; + } + return 1; } -static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, int *size, const secp256k1_ecdsa_sig_t *a) { +static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const secp256k1_scalar* ar, const secp256k1_scalar* as) { unsigned char r[33] = {0}, s[33] = {0}; unsigned char *rp = r, *sp = s; - int lenR = 33, lenS = 33; - secp256k1_scalar_get_b32(&r[1], &a->r); - secp256k1_scalar_get_b32(&s[1], &a->s); + size_t lenR = 33, lenS = 33; + secp256k1_scalar_get_b32(&r[1], ar); + secp256k1_scalar_get_b32(&s[1], as); while (lenR > 1 && rp[0] == 0 && rp[1] < 0x80) { lenR--; rp++; } while (lenS > 1 && sp[0] == 0 && sp[1] < 0x80) { lenS--; sp++; } if (*size < 6+lenS+lenR) { + *size = 6 + lenS + lenR; return 0; } *size = 6 + lenS + lenR; @@ -132,26 +200,26 @@ static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, int *size, const se return 1; } -static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context_t *ctx, const secp256k1_ecdsa_sig_t *sig, const secp256k1_ge_t *pubkey, const secp256k1_scalar_t *message) { +static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) { unsigned char c[32]; - secp256k1_scalar_t sn, u1, u2; - secp256k1_fe_t xr; - secp256k1_gej_t pubkeyj; - secp256k1_gej_t pr; + secp256k1_scalar sn, u1, u2; + secp256k1_fe xr; + secp256k1_gej pubkeyj; + secp256k1_gej pr; - if (secp256k1_scalar_is_zero(&sig->r) || secp256k1_scalar_is_zero(&sig->s)) { + if (secp256k1_scalar_is_zero(sigr) || secp256k1_scalar_is_zero(sigs)) { return 0; } - secp256k1_scalar_inverse_var(&sn, &sig->s); + secp256k1_scalar_inverse_var(&sn, sigs); secp256k1_scalar_mul(&u1, &sn, message); - secp256k1_scalar_mul(&u2, &sn, &sig->r); + secp256k1_scalar_mul(&u2, &sn, sigr); secp256k1_gej_set_ge(&pubkeyj, pubkey); secp256k1_ecmult(ctx, &pr, &pubkeyj, &u2, &u1); if (secp256k1_gej_is_infinity(&pr)) { return 0; } - secp256k1_scalar_get_b32(c, &sig->r); + secp256k1_scalar_get_b32(c, sigr); secp256k1_fe_set_b32(&xr, c); /** We now have the recomputed R point in pr, and its claimed x coordinate (modulo n) @@ -171,11 +239,11 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context_t *ctx, con * secp256k1_gej_eq_x implements the (xr * pr.z^2 mod p == pr.x) test. */ if (secp256k1_gej_eq_x_var(&xr, &pr)) { - /* xr.x == xr * xr.z^2 mod p, so the signature is valid. */ + /* xr * pr.z^2 mod p == pr.x, so the signature is valid. */ return 1; } if (secp256k1_fe_cmp_var(&xr, &secp256k1_ecdsa_const_p_minus_order) >= 0) { - /* xr + p >= n, so we can skip testing the second case. */ + /* xr + n >= p, so we can skip testing the second case. */ return 0; } secp256k1_fe_add(&xr, &secp256k1_ecdsa_const_order_as_fe); @@ -186,44 +254,11 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context_t *ctx, con return 0; } -static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context_t *ctx, const secp256k1_ecdsa_sig_t *sig, secp256k1_ge_t *pubkey, const secp256k1_scalar_t *message, int recid) { - unsigned char brx[32]; - secp256k1_fe_t fx; - secp256k1_ge_t x; - secp256k1_gej_t xj; - secp256k1_scalar_t rn, u1, u2; - secp256k1_gej_t qj; - - if (secp256k1_scalar_is_zero(&sig->r) || secp256k1_scalar_is_zero(&sig->s)) { - return 0; - } - - secp256k1_scalar_get_b32(brx, &sig->r); - VERIFY_CHECK(secp256k1_fe_set_b32(&fx, brx)); /* brx comes from a scalar, so is less than the order; certainly less than p */ - if (recid & 2) { - if (secp256k1_fe_cmp_var(&fx, &secp256k1_ecdsa_const_p_minus_order) >= 0) { - return 0; - } - secp256k1_fe_add(&fx, &secp256k1_ecdsa_const_order_as_fe); - } - if (!secp256k1_ge_set_xo_var(&x, &fx, recid & 1)) { - return 0; - } - secp256k1_gej_set_ge(&xj, &x); - secp256k1_scalar_inverse_var(&rn, &sig->r); - secp256k1_scalar_mul(&u1, &rn, message); - secp256k1_scalar_negate(&u1, &u1); - secp256k1_scalar_mul(&u2, &rn, &sig->s); - secp256k1_ecmult(ctx, &qj, &xj, &u2, &u1); - secp256k1_ge_set_gej_var(pubkey, &qj); - return !secp256k1_gej_is_infinity(&qj); -} - -static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context_t *ctx, secp256k1_ecdsa_sig_t *sig, const secp256k1_scalar_t *seckey, const secp256k1_scalar_t *message, const secp256k1_scalar_t *nonce, int *recid) { +static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, secp256k1_scalar *sigr, secp256k1_scalar *sigs, const secp256k1_scalar *seckey, const secp256k1_scalar *message, const secp256k1_scalar *nonce, int *recid) { unsigned char b[32]; - secp256k1_gej_t rp; - secp256k1_ge_t r; - secp256k1_scalar_t n; + secp256k1_gej rp; + secp256k1_ge r; + secp256k1_scalar n; int overflow = 0; secp256k1_ecmult_gen(ctx, &rp, nonce); @@ -231,28 +266,33 @@ static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context_t *ctx, s secp256k1_fe_normalize(&r.x); secp256k1_fe_normalize(&r.y); secp256k1_fe_get_b32(b, &r.x); - secp256k1_scalar_set_b32(&sig->r, b, &overflow); - if (secp256k1_scalar_is_zero(&sig->r)) { - /* P.x = order is on the curve, so technically sig->r could end up zero, which would be an invalid signature. */ + secp256k1_scalar_set_b32(sigr, b, &overflow); + if (secp256k1_scalar_is_zero(sigr)) { + /* P.x = order is on the curve, so technically sig->r could end up zero, which would be an invalid signature. + * This branch is cryptographically unreachable as hitting it requires finding the discrete log of P.x = N. + */ secp256k1_gej_clear(&rp); secp256k1_ge_clear(&r); return 0; } if (recid) { + /* The overflow condition is cryptographically unreachable as hitting it requires finding the discrete log + * of some P where P.x >= order, and only 1 in about 2^127 points meet this criteria. + */ *recid = (overflow ? 2 : 0) | (secp256k1_fe_is_odd(&r.y) ? 1 : 0); } - secp256k1_scalar_mul(&n, &sig->r, seckey); + secp256k1_scalar_mul(&n, sigr, seckey); secp256k1_scalar_add(&n, &n, message); - secp256k1_scalar_inverse(&sig->s, nonce); - secp256k1_scalar_mul(&sig->s, &sig->s, &n); + secp256k1_scalar_inverse(sigs, nonce); + secp256k1_scalar_mul(sigs, sigs, &n); secp256k1_scalar_clear(&n); secp256k1_gej_clear(&rp); secp256k1_ge_clear(&r); - if (secp256k1_scalar_is_zero(&sig->s)) { + if (secp256k1_scalar_is_zero(sigs)) { return 0; } - if (secp256k1_scalar_is_high(&sig->s)) { - secp256k1_scalar_negate(&sig->s, &sig->s); + if (secp256k1_scalar_is_high(sigs)) { + secp256k1_scalar_negate(sigs, sigs); if (recid) { *recid ^= 1; } diff --git a/src/eckey.h b/src/eckey.h index 53b818485e..42739a3bea 100644 --- a/src/eckey.h +++ b/src/eckey.h @@ -7,20 +7,19 @@ #ifndef _SECP256K1_ECKEY_ #define _SECP256K1_ECKEY_ +#include <stddef.h> + #include "group.h" #include "scalar.h" #include "ecmult.h" #include "ecmult_gen.h" -static int secp256k1_eckey_pubkey_parse(secp256k1_ge_t *elem, const unsigned char *pub, int size); -static int secp256k1_eckey_pubkey_serialize(secp256k1_ge_t *elem, unsigned char *pub, int *size, int compressed); - -static int secp256k1_eckey_privkey_parse(secp256k1_scalar_t *key, const unsigned char *privkey, int privkeylen); -static int secp256k1_eckey_privkey_serialize(const secp256k1_ecmult_gen_context_t *ctx, unsigned char *privkey, int *privkeylen, const secp256k1_scalar_t *key, int compressed); +static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char *pub, size_t size); +static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed); -static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar_t *key, const secp256k1_scalar_t *tweak); -static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context_t *ctx, secp256k1_ge_t *key, const secp256k1_scalar_t *tweak); -static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar_t *key, const secp256k1_scalar_t *tweak); -static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context_t *ctx, secp256k1_ge_t *key, const secp256k1_scalar_t *tweak); +static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak); +static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak); +static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp256k1_scalar *tweak); +static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak); #endif diff --git a/src/eckey_impl.h b/src/eckey_impl.h index a332bd34ec..ce38071ac2 100644 --- a/src/eckey_impl.h +++ b/src/eckey_impl.h @@ -14,12 +14,12 @@ #include "group.h" #include "ecmult_gen.h" -static int secp256k1_eckey_pubkey_parse(secp256k1_ge_t *elem, const unsigned char *pub, int size) { +static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char *pub, size_t size) { if (size == 33 && (pub[0] == 0x02 || pub[0] == 0x03)) { - secp256k1_fe_t x; + secp256k1_fe x; return secp256k1_fe_set_b32(&x, pub+1) && secp256k1_ge_set_xo_var(elem, &x, pub[0] == 0x03); } else if (size == 65 && (pub[0] == 0x04 || pub[0] == 0x06 || pub[0] == 0x07)) { - secp256k1_fe_t x, y; + secp256k1_fe x, y; if (!secp256k1_fe_set_b32(&x, pub+1) || !secp256k1_fe_set_b32(&y, pub+33)) { return 0; } @@ -33,7 +33,7 @@ static int secp256k1_eckey_pubkey_parse(secp256k1_ge_t *elem, const unsigned cha } } -static int secp256k1_eckey_pubkey_serialize(secp256k1_ge_t *elem, unsigned char *pub, int *size, int compressed) { +static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed) { if (secp256k1_ge_is_infinity(elem)) { return 0; } @@ -51,110 +51,7 @@ static int secp256k1_eckey_pubkey_serialize(secp256k1_ge_t *elem, unsigned char return 1; } -static int secp256k1_eckey_privkey_parse(secp256k1_scalar_t *key, const unsigned char *privkey, int privkeylen) { - unsigned char c[32] = {0}; - const unsigned char *end = privkey + privkeylen; - int lenb = 0; - int len = 0; - int overflow = 0; - /* sequence header */ - if (end < privkey+1 || *privkey != 0x30) { - return 0; - } - privkey++; - /* sequence length constructor */ - if (end < privkey+1 || !(*privkey & 0x80)) { - return 0; - } - lenb = *privkey & ~0x80; privkey++; - if (lenb < 1 || lenb > 2) { - return 0; - } - if (end < privkey+lenb) { - return 0; - } - /* sequence length */ - len = privkey[lenb-1] | (lenb > 1 ? privkey[lenb-2] << 8 : 0); - privkey += lenb; - if (end < privkey+len) { - return 0; - } - /* sequence element 0: version number (=1) */ - if (end < privkey+3 || privkey[0] != 0x02 || privkey[1] != 0x01 || privkey[2] != 0x01) { - return 0; - } - privkey += 3; - /* sequence element 1: octet string, up to 32 bytes */ - if (end < privkey+2 || privkey[0] != 0x04 || privkey[1] > 0x20 || end < privkey+2+privkey[1]) { - return 0; - } - memcpy(c + 32 - privkey[1], privkey + 2, privkey[1]); - secp256k1_scalar_set_b32(key, c, &overflow); - memset(c, 0, 32); - return !overflow; -} - -static int secp256k1_eckey_privkey_serialize(const secp256k1_ecmult_gen_context_t *ctx, unsigned char *privkey, int *privkeylen, const secp256k1_scalar_t *key, int compressed) { - secp256k1_gej_t rp; - secp256k1_ge_t r; - int pubkeylen = 0; - secp256k1_ecmult_gen(ctx, &rp, key); - secp256k1_ge_set_gej(&r, &rp); - if (compressed) { - static const unsigned char begin[] = { - 0x30,0x81,0xD3,0x02,0x01,0x01,0x04,0x20 - }; - static const unsigned char middle[] = { - 0xA0,0x81,0x85,0x30,0x81,0x82,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48, - 0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,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,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04, - 0x21,0x02,0x79,0xBE,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, - 0x17,0x98,0x02,0x21,0x00,0xFF,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,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x24,0x03,0x22,0x00 - }; - unsigned char *ptr = privkey; - memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin); - secp256k1_scalar_get_b32(ptr, key); ptr += 32; - memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle); - if (!secp256k1_eckey_pubkey_serialize(&r, ptr, &pubkeylen, 1)) { - return 0; - } - ptr += pubkeylen; - *privkeylen = ptr - privkey; - } else { - static const unsigned char begin[] = { - 0x30,0x82,0x01,0x13,0x02,0x01,0x01,0x04,0x20 - }; - static const unsigned char middle[] = { - 0xA0,0x81,0xA5,0x30,0x81,0xA2,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48, - 0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,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,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04, - 0x41,0x04,0x79,0xBE,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, - 0xD4,0xB8,0x02,0x21,0x00,0xFF,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,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x44,0x03,0x42,0x00 - }; - unsigned char *ptr = privkey; - memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin); - secp256k1_scalar_get_b32(ptr, key); ptr += 32; - memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle); - if (!secp256k1_eckey_pubkey_serialize(&r, ptr, &pubkeylen, 0)) { - return 0; - } - ptr += pubkeylen; - *privkeylen = ptr - privkey; - } - return 1; -} - -static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar_t *key, const secp256k1_scalar_t *tweak) { +static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak) { secp256k1_scalar_add(key, key, tweak); if (secp256k1_scalar_is_zero(key)) { return 0; @@ -162,9 +59,9 @@ static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar_t *key, const secp return 1; } -static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context_t *ctx, secp256k1_ge_t *key, const secp256k1_scalar_t *tweak) { - secp256k1_gej_t pt; - secp256k1_scalar_t one; +static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) { + secp256k1_gej pt; + secp256k1_scalar one; secp256k1_gej_set_ge(&pt, key); secp256k1_scalar_set_int(&one, 1); secp256k1_ecmult(ctx, &pt, &pt, &one, tweak); @@ -176,7 +73,7 @@ static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context_t *ct return 1; } -static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar_t *key, const secp256k1_scalar_t *tweak) { +static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp256k1_scalar *tweak) { if (secp256k1_scalar_is_zero(tweak)) { return 0; } @@ -185,9 +82,9 @@ static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar_t *key, const secp return 1; } -static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context_t *ctx, secp256k1_ge_t *key, const secp256k1_scalar_t *tweak) { - secp256k1_scalar_t zero; - secp256k1_gej_t pt; +static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) { + secp256k1_scalar zero; + secp256k1_gej pt; if (secp256k1_scalar_is_zero(tweak)) { return 0; } diff --git a/src/ecmult.h b/src/ecmult.h index bab9e4ef52..20484134f5 100644 --- a/src/ecmult.h +++ b/src/ecmult.h @@ -12,20 +12,20 @@ typedef struct { /* For accelerating the computation of a*P + b*G: */ - secp256k1_ge_storage_t (*pre_g)[]; /* odd multiples of the generator */ + secp256k1_ge_storage (*pre_g)[]; /* odd multiples of the generator */ #ifdef USE_ENDOMORPHISM - secp256k1_ge_storage_t (*pre_g_128)[]; /* odd multiples of 2^128*generator */ + secp256k1_ge_storage (*pre_g_128)[]; /* odd multiples of 2^128*generator */ #endif -} secp256k1_ecmult_context_t; +} secp256k1_ecmult_context; -static void secp256k1_ecmult_context_init(secp256k1_ecmult_context_t *ctx); -static void secp256k1_ecmult_context_build(secp256k1_ecmult_context_t *ctx); -static void secp256k1_ecmult_context_clone(secp256k1_ecmult_context_t *dst, - const secp256k1_ecmult_context_t *src); -static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context_t *ctx); -static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context_t *ctx); +static void secp256k1_ecmult_context_init(secp256k1_ecmult_context *ctx); +static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, const secp256k1_callback *cb); +static void secp256k1_ecmult_context_clone(secp256k1_ecmult_context *dst, + const secp256k1_ecmult_context *src, const secp256k1_callback *cb); +static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context *ctx); +static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx); /** Double multiply: R = na*A + ng*G */ -static void secp256k1_ecmult(const secp256k1_ecmult_context_t *ctx, secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_scalar_t *na, const secp256k1_scalar_t *ng); +static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng); #endif diff --git a/src/ecmult_const.h b/src/ecmult_const.h new file mode 100644 index 0000000000..2b0097655c --- /dev/null +++ b/src/ecmult_const.h @@ -0,0 +1,15 @@ +/********************************************************************** + * Copyright (c) 2015 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef _SECP256K1_ECMULT_CONST_ +#define _SECP256K1_ECMULT_CONST_ + +#include "scalar.h" +#include "group.h" + +static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q); + +#endif diff --git a/src/ecmult_const_impl.h b/src/ecmult_const_impl.h new file mode 100644 index 0000000000..90ac94770e --- /dev/null +++ b/src/ecmult_const_impl.h @@ -0,0 +1,260 @@ +/********************************************************************** + * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef _SECP256K1_ECMULT_CONST_IMPL_ +#define _SECP256K1_ECMULT_CONST_IMPL_ + +#include "scalar.h" +#include "group.h" +#include "ecmult_const.h" +#include "ecmult_impl.h" + +#ifdef USE_ENDOMORPHISM + #define WNAF_BITS 128 +#else + #define WNAF_BITS 256 +#endif +#define WNAF_SIZE(w) ((WNAF_BITS + (w) - 1) / (w)) + +/* This is like `ECMULT_TABLE_GET_GE` but is constant time */ +#define ECMULT_CONST_TABLE_GET_GE(r,pre,n,w) do { \ + int m; \ + int abs_n = (n) * (((n) > 0) * 2 - 1); \ + int idx_n = abs_n / 2; \ + secp256k1_fe neg_y; \ + VERIFY_CHECK(((n) & 1) == 1); \ + VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ + VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ + VERIFY_SETUP(secp256k1_fe_clear(&(r)->x)); \ + VERIFY_SETUP(secp256k1_fe_clear(&(r)->y)); \ + for (m = 0; m < ECMULT_TABLE_SIZE(w); m++) { \ + /* This loop is used to avoid secret data in array indices. See + * the comment in ecmult_gen_impl.h for rationale. */ \ + secp256k1_fe_cmov(&(r)->x, &(pre)[m].x, m == idx_n); \ + secp256k1_fe_cmov(&(r)->y, &(pre)[m].y, m == idx_n); \ + } \ + (r)->infinity = 0; \ + secp256k1_fe_negate(&neg_y, &(r)->y, 1); \ + secp256k1_fe_cmov(&(r)->y, &neg_y, (n) != abs_n); \ +} while(0) + + +/** Convert a number to WNAF notation. The number becomes represented by sum(2^{wi} * wnaf[i], i=0..return_val) + * with the following guarantees: + * - each wnaf[i] an odd integer between -(1 << w) and (1 << w) + * - each wnaf[i] is nonzero + * - the number of words set is returned; this is always (WNAF_BITS + w - 1) / w + * + * Adapted from `The Width-w NAF Method Provides Small Memory and Fast Elliptic Scalar + * Multiplications Secure against Side Channel Attacks`, Okeya and Tagaki. M. Joye (Ed.) + * CT-RSA 2003, LNCS 2612, pp. 328-443, 2003. Springer-Verlagy Berlin Heidelberg 2003 + * + * Numbers reference steps of `Algorithm SPA-resistant Width-w NAF with Odd Scalar` on pp. 335 + */ +static int secp256k1_wnaf_const(int *wnaf, secp256k1_scalar s, int w) { + int global_sign; + int skew = 0; + int word = 0; + /* 1 2 3 */ + int u_last; + int u; + +#ifdef USE_ENDOMORPHISM + int flip; + int bit; + secp256k1_scalar neg_s; + int not_neg_one; + /* If we are using the endomorphism, we cannot handle even numbers by negating + * them, since we are working with 128-bit numbers whose negations would be 256 + * bits, eliminating the performance advantage. Instead we use a technique from + * Section 4.2 of the Okeya/Tagaki paper, which is to add either 1 (for even) + * or 2 (for odd) to the number we are encoding, then compensating after the + * multiplication. */ + /* Negative 128-bit numbers will be negated, since otherwise they are 256-bit */ + flip = secp256k1_scalar_is_high(&s); + /* We add 1 to even numbers, 2 to odd ones, noting that negation flips parity */ + bit = flip ^ (s.d[0] & 1); + /* We check for negative one, since adding 2 to it will cause an overflow */ + secp256k1_scalar_negate(&neg_s, &s); + not_neg_one = !secp256k1_scalar_is_one(&neg_s); + secp256k1_scalar_cadd_bit(&s, bit, not_neg_one); + /* If we had negative one, flip == 1, s.d[0] == 0, bit == 1, so caller expects + * that we added two to it and flipped it. In fact for -1 these operations are + * identical. We only flipped, but since skewing is required (in the sense that + * the skew must be 1 or 2, never zero) and flipping is not, we need to change + * our flags to claim that we only skewed. */ + global_sign = secp256k1_scalar_cond_negate(&s, flip); + global_sign *= not_neg_one * 2 - 1; + skew = 1 << bit; +#else + /* Otherwise, we just negate to force oddness */ + int is_even = secp256k1_scalar_is_even(&s); + global_sign = secp256k1_scalar_cond_negate(&s, is_even); +#endif + + /* 4 */ + u_last = secp256k1_scalar_shr_int(&s, w); + while (word * w < WNAF_BITS) { + int sign; + int even; + + /* 4.1 4.4 */ + u = secp256k1_scalar_shr_int(&s, w); + /* 4.2 */ + even = ((u & 1) == 0); + sign = 2 * (u_last > 0) - 1; + u += sign * even; + u_last -= sign * even * (1 << w); + + /* 4.3, adapted for global sign change */ + wnaf[word++] = u_last * global_sign; + + u_last = u; + } + wnaf[word] = u * global_sign; + + VERIFY_CHECK(secp256k1_scalar_is_zero(&s)); + VERIFY_CHECK(word == WNAF_SIZE(w)); + return skew; +} + + +static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *scalar) { + secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; + secp256k1_ge tmpa; + secp256k1_fe Z; + +#ifdef USE_ENDOMORPHISM + secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; + int wnaf_1[1 + WNAF_SIZE(WINDOW_A - 1)]; + int wnaf_lam[1 + WNAF_SIZE(WINDOW_A - 1)]; + int skew_1; + int skew_lam; + secp256k1_scalar q_1, q_lam; +#else + int wnaf[1 + WNAF_SIZE(WINDOW_A - 1)]; +#endif + + int i; + secp256k1_scalar sc = *scalar; + + /* build wnaf representation for q. */ +#ifdef USE_ENDOMORPHISM + /* split q into q_1 and q_lam (where q = q_1 + q_lam*lambda, and q_1 and q_lam are ~128 bit) */ + secp256k1_scalar_split_lambda(&q_1, &q_lam, &sc); + /* no need for zero correction when using endomorphism since even + * numbers have one added to them anyway */ + skew_1 = secp256k1_wnaf_const(wnaf_1, q_1, WINDOW_A - 1); + skew_lam = secp256k1_wnaf_const(wnaf_lam, q_lam, WINDOW_A - 1); +#else + int is_zero = secp256k1_scalar_is_zero(scalar); + /* the wNAF ladder cannot handle zero, so bump this to one .. we will + * correct the result after the fact */ + sc.d[0] += is_zero; + VERIFY_CHECK(!secp256k1_scalar_is_zero(&sc)); + + secp256k1_wnaf_const(wnaf, sc, WINDOW_A - 1); +#endif + + /* Calculate odd multiples of a. + * All multiples are brought to the same Z 'denominator', which is stored + * in Z. Due to secp256k1' isomorphism we can do all operations pretending + * that the Z coordinate was 1, use affine addition formulae, and correct + * the Z coordinate of the result once at the end. + */ + secp256k1_gej_set_ge(r, a); + secp256k1_ecmult_odd_multiples_table_globalz_windowa(pre_a, &Z, r); + for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { + secp256k1_fe_normalize_weak(&pre_a[i].y); + } +#ifdef USE_ENDOMORPHISM + for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { + secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]); + } +#endif + + /* first loop iteration (separated out so we can directly set r, rather + * than having it start at infinity, get doubled several times, then have + * its new value added to it) */ +#ifdef USE_ENDOMORPHISM + i = wnaf_1[WNAF_SIZE(WINDOW_A - 1)]; + VERIFY_CHECK(i != 0); + ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, i, WINDOW_A); + secp256k1_gej_set_ge(r, &tmpa); + + i = wnaf_lam[WNAF_SIZE(WINDOW_A - 1)]; + VERIFY_CHECK(i != 0); + ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, i, WINDOW_A); + secp256k1_gej_add_ge(r, r, &tmpa); +#else + i = wnaf[WNAF_SIZE(WINDOW_A - 1)]; + VERIFY_CHECK(i != 0); + ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, i, WINDOW_A); + secp256k1_gej_set_ge(r, &tmpa); +#endif + /* remaining loop iterations */ + for (i = WNAF_SIZE(WINDOW_A - 1) - 1; i >= 0; i--) { + int n; + int j; + for (j = 0; j < WINDOW_A - 1; ++j) { + secp256k1_gej_double_nonzero(r, r, NULL); + } +#ifdef USE_ENDOMORPHISM + n = wnaf_1[i]; + ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A); + VERIFY_CHECK(n != 0); + secp256k1_gej_add_ge(r, r, &tmpa); + + n = wnaf_lam[i]; + ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, n, WINDOW_A); + VERIFY_CHECK(n != 0); + secp256k1_gej_add_ge(r, r, &tmpa); +#else + n = wnaf[i]; + VERIFY_CHECK(n != 0); + ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A); + secp256k1_gej_add_ge(r, r, &tmpa); +#endif + } + + secp256k1_fe_mul(&r->z, &r->z, &Z); + +#ifdef USE_ENDOMORPHISM + { + /* Correct for wNAF skew */ + secp256k1_ge correction = *a; + secp256k1_ge_storage correction_1_stor; + secp256k1_ge_storage correction_lam_stor; + secp256k1_ge_storage a2_stor; + secp256k1_gej tmpj; + secp256k1_gej_set_ge(&tmpj, &correction); + secp256k1_gej_double_var(&tmpj, &tmpj, NULL); + secp256k1_ge_set_gej(&correction, &tmpj); + secp256k1_ge_to_storage(&correction_1_stor, a); + secp256k1_ge_to_storage(&correction_lam_stor, a); + secp256k1_ge_to_storage(&a2_stor, &correction); + + /* For odd numbers this is 2a (so replace it), for even ones a (so no-op) */ + secp256k1_ge_storage_cmov(&correction_1_stor, &a2_stor, skew_1 == 2); + secp256k1_ge_storage_cmov(&correction_lam_stor, &a2_stor, skew_lam == 2); + + /* Apply the correction */ + secp256k1_ge_from_storage(&correction, &correction_1_stor); + secp256k1_ge_neg(&correction, &correction); + secp256k1_gej_add_ge(r, r, &correction); + + secp256k1_ge_from_storage(&correction, &correction_lam_stor); + secp256k1_ge_neg(&correction, &correction); + secp256k1_ge_mul_lambda(&correction, &correction); + secp256k1_gej_add_ge(r, r, &correction); + } +#else + /* correct for zero */ + r->infinity |= is_zero; +#endif +} + +#endif diff --git a/src/ecmult_gen.h b/src/ecmult_gen.h index 3745633c47..eb2cc9ead6 100644 --- a/src/ecmult_gen.h +++ b/src/ecmult_gen.h @@ -23,21 +23,21 @@ typedef struct { * None of the resulting prec group elements have a known scalar, and neither do any of * the intermediate sums while computing a*G. */ - secp256k1_ge_storage_t (*prec)[64][16]; /* prec[j][i] = 16^j * i * G + U_i */ - secp256k1_scalar_t blind; - secp256k1_gej_t initial; -} secp256k1_ecmult_gen_context_t; + secp256k1_ge_storage (*prec)[64][16]; /* prec[j][i] = 16^j * i * G + U_i */ + secp256k1_scalar blind; + secp256k1_gej initial; +} secp256k1_ecmult_gen_context; -static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context_t* ctx); -static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context_t* ctx); -static void secp256k1_ecmult_gen_context_clone(secp256k1_ecmult_gen_context_t *dst, - const secp256k1_ecmult_gen_context_t* src); -static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context_t* ctx); -static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context_t* ctx); +static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context* ctx); +static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context* ctx, const secp256k1_callback* cb); +static void secp256k1_ecmult_gen_context_clone(secp256k1_ecmult_gen_context *dst, + const secp256k1_ecmult_gen_context* src, const secp256k1_callback* cb); +static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context* ctx); +static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context* ctx); /** Multiply with the generator: R = a*G */ -static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context_t* ctx, secp256k1_gej_t *r, const secp256k1_scalar_t *a); +static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context* ctx, secp256k1_gej *r, const secp256k1_scalar *a); -static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context_t *ctx, const unsigned char *seed32); +static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const unsigned char *seed32); #endif diff --git a/src/ecmult_gen_impl.h b/src/ecmult_gen_impl.h index 4697753ac8..b63c4d8662 100644 --- a/src/ecmult_gen_impl.h +++ b/src/ecmult_gen_impl.h @@ -11,22 +11,26 @@ #include "group.h" #include "ecmult_gen.h" #include "hash_impl.h" - -static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context_t *ctx) { +#ifdef USE_ECMULT_STATIC_PRECOMPUTATION +#include "ecmult_static_context.h" +#endif +static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context *ctx) { ctx->prec = NULL; } -static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context_t *ctx) { - secp256k1_ge_t prec[1024]; - secp256k1_gej_t gj; - secp256k1_gej_t nums_gej; +static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx, const secp256k1_callback* cb) { +#ifndef USE_ECMULT_STATIC_PRECOMPUTATION + secp256k1_ge prec[1024]; + secp256k1_gej gj; + secp256k1_gej nums_gej; int i, j; +#endif if (ctx->prec != NULL) { return; } - - ctx->prec = (secp256k1_ge_storage_t (*)[64][16])checked_malloc(sizeof(*ctx->prec)); +#ifndef USE_ECMULT_STATIC_PRECOMPUTATION + ctx->prec = (secp256k1_ge_storage (*)[64][16])checked_malloc(cb, sizeof(*ctx->prec)); /* get the generator */ secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); @@ -34,77 +38,93 @@ static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context_t *c /* Construct a group element with no known corresponding scalar (nothing up my sleeve). */ { static const unsigned char nums_b32[33] = "The scalar for this x is unknown"; - secp256k1_fe_t nums_x; - secp256k1_ge_t nums_ge; - VERIFY_CHECK(secp256k1_fe_set_b32(&nums_x, nums_b32)); - VERIFY_CHECK(secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0)); + secp256k1_fe nums_x; + secp256k1_ge nums_ge; + int r; + r = secp256k1_fe_set_b32(&nums_x, nums_b32); + (void)r; + VERIFY_CHECK(r); + r = secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0); + (void)r; + VERIFY_CHECK(r); secp256k1_gej_set_ge(&nums_gej, &nums_ge); /* Add G to make the bits in x uniformly distributed. */ - secp256k1_gej_add_ge_var(&nums_gej, &nums_gej, &secp256k1_ge_const_g); + secp256k1_gej_add_ge_var(&nums_gej, &nums_gej, &secp256k1_ge_const_g, NULL); } /* compute prec. */ { - secp256k1_gej_t precj[1024]; /* Jacobian versions of prec. */ - secp256k1_gej_t gbase; - secp256k1_gej_t numsbase; + secp256k1_gej precj[1024]; /* Jacobian versions of prec. */ + secp256k1_gej gbase; + secp256k1_gej numsbase; gbase = gj; /* 16^j * G */ numsbase = nums_gej; /* 2^j * nums. */ for (j = 0; j < 64; j++) { /* Set precj[j*16 .. j*16+15] to (numsbase, numsbase + gbase, ..., numsbase + 15*gbase). */ precj[j*16] = numsbase; for (i = 1; i < 16; i++) { - secp256k1_gej_add_var(&precj[j*16 + i], &precj[j*16 + i - 1], &gbase); + secp256k1_gej_add_var(&precj[j*16 + i], &precj[j*16 + i - 1], &gbase, NULL); } /* Multiply gbase by 16. */ for (i = 0; i < 4; i++) { - secp256k1_gej_double_var(&gbase, &gbase); + secp256k1_gej_double_var(&gbase, &gbase, NULL); } /* Multiply numbase by 2. */ - secp256k1_gej_double_var(&numsbase, &numsbase); + secp256k1_gej_double_var(&numsbase, &numsbase, NULL); if (j == 62) { /* In the last iteration, numsbase is (1 - 2^j) * nums instead. */ secp256k1_gej_neg(&numsbase, &numsbase); - secp256k1_gej_add_var(&numsbase, &numsbase, &nums_gej); + secp256k1_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL); } } - secp256k1_ge_set_all_gej_var(1024, prec, precj); + secp256k1_ge_set_all_gej_var(1024, prec, precj, cb); } for (j = 0; j < 64; j++) { for (i = 0; i < 16; i++) { secp256k1_ge_to_storage(&(*ctx->prec)[j][i], &prec[j*16 + i]); } } +#else + (void)cb; + ctx->prec = (secp256k1_ge_storage (*)[64][16])secp256k1_ecmult_static_context; +#endif secp256k1_ecmult_gen_blind(ctx, NULL); } -static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context_t* ctx) { +static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context* ctx) { return ctx->prec != NULL; } -static void secp256k1_ecmult_gen_context_clone(secp256k1_ecmult_gen_context_t *dst, - const secp256k1_ecmult_gen_context_t *src) { +static void secp256k1_ecmult_gen_context_clone(secp256k1_ecmult_gen_context *dst, + const secp256k1_ecmult_gen_context *src, const secp256k1_callback* cb) { if (src->prec == NULL) { dst->prec = NULL; } else { - dst->prec = (secp256k1_ge_storage_t (*)[64][16])checked_malloc(sizeof(*dst->prec)); +#ifndef USE_ECMULT_STATIC_PRECOMPUTATION + dst->prec = (secp256k1_ge_storage (*)[64][16])checked_malloc(cb, sizeof(*dst->prec)); memcpy(dst->prec, src->prec, sizeof(*dst->prec)); +#else + (void)cb; + dst->prec = src->prec; +#endif dst->initial = src->initial; dst->blind = src->blind; } } -static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context_t *ctx) { +static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context *ctx) { +#ifndef USE_ECMULT_STATIC_PRECOMPUTATION free(ctx->prec); +#endif secp256k1_scalar_clear(&ctx->blind); secp256k1_gej_clear(&ctx->initial); ctx->prec = NULL; } -static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context_t *ctx, secp256k1_gej_t *r, const secp256k1_scalar_t *gn) { - secp256k1_ge_t add; - secp256k1_ge_storage_t adds; - secp256k1_scalar_t gnb; +static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp256k1_gej *r, const secp256k1_scalar *gn) { + secp256k1_ge add; + secp256k1_ge_storage adds; + secp256k1_scalar gnb; int bits; int i, j; memset(&adds, 0, sizeof(adds)); @@ -136,14 +156,15 @@ static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context_t *ctx, secp } /* Setup blinding values for secp256k1_ecmult_gen. */ -static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context_t *ctx, const unsigned char *seed32) { - secp256k1_scalar_t b; - secp256k1_gej_t gb; - secp256k1_fe_t s; +static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const unsigned char *seed32) { + secp256k1_scalar b; + secp256k1_gej gb; + secp256k1_fe s; unsigned char nonce32[32]; secp256k1_rfc6979_hmac_sha256_t rng; int retry; - if (!seed32) { + unsigned char keydata[64] = {0}; + if (seed32 == NULL) { /* When seed is NULL, reset the initial point and blinding value. */ secp256k1_gej_set_ge(&ctx->initial, &secp256k1_ge_const_g); secp256k1_gej_neg(&ctx->initial, &ctx->initial); @@ -155,13 +176,18 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context_t *ctx, cons * and guards against weak or adversarial seeds. This is a simpler and safer interface than * asking the caller for blinding values directly and expecting them to retry on failure. */ - secp256k1_rfc6979_hmac_sha256_initialize(&rng, seed32 ? seed32 : nonce32, 32, nonce32, 32, NULL, 0); + memcpy(keydata, nonce32, 32); + if (seed32 != NULL) { + memcpy(keydata + 32, seed32, 32); + } + secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, seed32 ? 64 : 32); + memset(keydata, 0, sizeof(keydata)); /* Retry for out of range results to achieve uniformity. */ do { secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); retry = !secp256k1_fe_set_b32(&s, nonce32); retry |= secp256k1_fe_is_zero(&s); - } while (retry); + } while (retry); /* This branch true is cryptographically unreachable. Requires sha256_hmac output > Fp. */ /* Randomize the projection to defend against multiplier sidechannels. */ secp256k1_gej_rescale(&ctx->initial, &s); secp256k1_fe_clear(&s); @@ -170,7 +196,7 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context_t *ctx, cons secp256k1_scalar_set_b32(&b, nonce32, &retry); /* A blinding value of 0 works, but would undermine the projection hardening. */ retry |= secp256k1_scalar_is_zero(&b); - } while (retry); + } while (retry); /* This branch true is cryptographically unreachable. Requires sha256_hmac output > order. */ secp256k1_rfc6979_hmac_sha256_finalize(&rng); memset(nonce32, 0, 32); secp256k1_ecmult_gen(ctx, &gb, &b); diff --git a/src/ecmult_impl.h b/src/ecmult_impl.h index 1b2856f83d..e6e5f47188 100644 --- a/src/ecmult_impl.h +++ b/src/ecmult_impl.h @@ -24,62 +24,107 @@ #define WINDOW_G 16 #endif -/** Fill a table 'pre' with precomputed odd multiples of a. W determines the size of the table. - * pre will contains the values [1*a,3*a,5*a,...,(2^(w-1)-1)*a], so it needs place for - * 2^(w-2) entries. - * - * There are two versions of this function: - * - secp256k1_ecmult_precomp_wnaf_gej, which operates on group elements in jacobian notation, - * fast to precompute, but slower to use in later additions. - * - secp256k1_ecmult_precomp_wnaf_ge, which operates on group elements in affine notations, - * (much) slower to precompute, but a bit faster to use in later additions. - * To compute a*P + b*G, we use the jacobian version for P, and the affine version for G, as - * G is constant, so it only needs to be done once in advance. +/** The number of entries a table with precomputed multiples needs to have. */ +#define ECMULT_TABLE_SIZE(w) (1 << ((w)-2)) + +/** Fill a table 'prej' with precomputed odd multiples of a. Prej will contain + * the values [1*a,3*a,...,(2*n-1)*a], so it space for n values. zr[0] will + * contain prej[0].z / a.z. The other zr[i] values = prej[i].z / prej[i-1].z. + * Prej's Z values are undefined, except for the last value. */ -static void secp256k1_ecmult_table_precomp_gej_var(secp256k1_gej_t *pre, const secp256k1_gej_t *a, int w) { - secp256k1_gej_t d; +static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_gej *prej, secp256k1_fe *zr, const secp256k1_gej *a) { + secp256k1_gej d; + secp256k1_ge a_ge, d_ge; int i; - pre[0] = *a; - secp256k1_gej_double_var(&d, &pre[0]); - for (i = 1; i < (1 << (w-2)); i++) { - secp256k1_gej_add_var(&pre[i], &d, &pre[i-1]); + + VERIFY_CHECK(!a->infinity); + + secp256k1_gej_double_var(&d, a, NULL); + + /* + * Perform the additions on an isomorphism where 'd' is affine: drop the z coordinate + * of 'd', and scale the 1P starting value's x/y coordinates without changing its z. + */ + d_ge.x = d.x; + d_ge.y = d.y; + d_ge.infinity = 0; + + secp256k1_ge_set_gej_zinv(&a_ge, a, &d.z); + prej[0].x = a_ge.x; + prej[0].y = a_ge.y; + prej[0].z = a->z; + prej[0].infinity = 0; + + zr[0] = d.z; + for (i = 1; i < n; i++) { + secp256k1_gej_add_ge_var(&prej[i], &prej[i-1], &d_ge, &zr[i]); } + + /* + * Each point in 'prej' has a z coordinate too small by a factor of 'd.z'. Only + * the final point's z coordinate is actually used though, so just update that. + */ + secp256k1_fe_mul(&prej[n-1].z, &prej[n-1].z, &d.z); +} + +/** Fill a table 'pre' with precomputed odd multiples of a. + * + * There are two versions of this function: + * - secp256k1_ecmult_odd_multiples_table_globalz_windowa which brings its + * resulting point set to a single constant Z denominator, stores the X and Y + * coordinates as ge_storage points in pre, and stores the global Z in rz. + * It only operates on tables sized for WINDOW_A wnaf multiples. + * - secp256k1_ecmult_odd_multiples_table_storage_var, which converts its + * resulting point set to actually affine points, and stores those in pre. + * It operates on tables of any size, but uses heap-allocated temporaries. + * + * To compute a*P + b*G, we compute a table for P using the first function, + * and for G using the second (which requires an inverse, but it only needs to + * happen once). + */ +static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *pre, secp256k1_fe *globalz, const secp256k1_gej *a) { + secp256k1_gej prej[ECMULT_TABLE_SIZE(WINDOW_A)]; + secp256k1_fe zr[ECMULT_TABLE_SIZE(WINDOW_A)]; + + /* Compute the odd multiples in Jacobian form. */ + secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), prej, zr, a); + /* Bring them to the same Z denominator. */ + secp256k1_ge_globalz_set_table_gej(ECMULT_TABLE_SIZE(WINDOW_A), pre, globalz, prej, zr); } -static void secp256k1_ecmult_table_precomp_ge_storage_var(secp256k1_ge_storage_t *pre, const secp256k1_gej_t *a, int w) { - secp256k1_gej_t d; +static void secp256k1_ecmult_odd_multiples_table_storage_var(int n, secp256k1_ge_storage *pre, const secp256k1_gej *a, const secp256k1_callback *cb) { + secp256k1_gej *prej = (secp256k1_gej*)checked_malloc(cb, sizeof(secp256k1_gej) * n); + secp256k1_ge *prea = (secp256k1_ge*)checked_malloc(cb, sizeof(secp256k1_ge) * n); + secp256k1_fe *zr = (secp256k1_fe*)checked_malloc(cb, sizeof(secp256k1_fe) * n); int i; - const int table_size = 1 << (w-2); - secp256k1_gej_t *prej = (secp256k1_gej_t *)checked_malloc(sizeof(secp256k1_gej_t) * table_size); - secp256k1_ge_t *prea = (secp256k1_ge_t *)checked_malloc(sizeof(secp256k1_ge_t) * table_size); - prej[0] = *a; - secp256k1_gej_double_var(&d, a); - for (i = 1; i < table_size; i++) { - secp256k1_gej_add_var(&prej[i], &d, &prej[i-1]); - } - secp256k1_ge_set_all_gej_var(table_size, prea, prej); - for (i = 0; i < table_size; i++) { + + /* Compute the odd multiples in Jacobian form. */ + secp256k1_ecmult_odd_multiples_table(n, prej, zr, a); + /* Convert them in batch to affine coordinates. */ + secp256k1_ge_set_table_gej_var(n, prea, prej, zr); + /* Convert them to compact storage form. */ + for (i = 0; i < n; i++) { secp256k1_ge_to_storage(&pre[i], &prea[i]); } - free(prej); + free(prea); + free(prej); + free(zr); } -/** The number of entries a table with precomputed multiples needs to have. */ -#define ECMULT_TABLE_SIZE(w) (1 << ((w)-2)) - /** The following two macro retrieves a particular odd multiple from a table * of precomputed multiples. */ -#define ECMULT_TABLE_GET_GEJ(r,pre,n,w) do { \ +#define ECMULT_TABLE_GET_GE(r,pre,n,w) do { \ VERIFY_CHECK(((n) & 1) == 1); \ VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ if ((n) > 0) { \ *(r) = (pre)[((n)-1)/2]; \ } else { \ - secp256k1_gej_neg((r), &(pre)[(-(n)-1)/2]); \ + secp256k1_ge_neg((r), &(pre)[(-(n)-1)/2]); \ } \ } while(0) + #define ECMULT_TABLE_GET_GE_STORAGE(r,pre,n,w) do { \ VERIFY_CHECK(((n) & 1) == 1); \ VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ @@ -92,15 +137,15 @@ static void secp256k1_ecmult_table_precomp_ge_storage_var(secp256k1_ge_storage_t } \ } while(0) -static void secp256k1_ecmult_context_init(secp256k1_ecmult_context_t *ctx) { +static void secp256k1_ecmult_context_init(secp256k1_ecmult_context *ctx) { ctx->pre_g = NULL; #ifdef USE_ENDOMORPHISM ctx->pre_g_128 = NULL; #endif } -static void secp256k1_ecmult_context_build(secp256k1_ecmult_context_t *ctx) { - secp256k1_gej_t gj; +static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, const secp256k1_callback *cb) { + secp256k1_gej gj; if (ctx->pre_g != NULL) { return; @@ -109,35 +154,35 @@ static void secp256k1_ecmult_context_build(secp256k1_ecmult_context_t *ctx) { /* get the generator */ secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); - ctx->pre_g = (secp256k1_ge_storage_t (*)[])checked_malloc(sizeof((*ctx->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G)); + ctx->pre_g = (secp256k1_ge_storage (*)[])checked_malloc(cb, sizeof((*ctx->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G)); /* precompute the tables with odd multiples */ - secp256k1_ecmult_table_precomp_ge_storage_var(*ctx->pre_g, &gj, WINDOW_G); + secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g, &gj, cb); #ifdef USE_ENDOMORPHISM { - secp256k1_gej_t g_128j; + secp256k1_gej g_128j; int i; - ctx->pre_g_128 = (secp256k1_ge_storage_t (*)[])checked_malloc(sizeof((*ctx->pre_g_128)[0]) * ECMULT_TABLE_SIZE(WINDOW_G)); + ctx->pre_g_128 = (secp256k1_ge_storage (*)[])checked_malloc(cb, sizeof((*ctx->pre_g_128)[0]) * ECMULT_TABLE_SIZE(WINDOW_G)); /* calculate 2^128*generator */ g_128j = gj; for (i = 0; i < 128; i++) { - secp256k1_gej_double_var(&g_128j, &g_128j); + secp256k1_gej_double_var(&g_128j, &g_128j, NULL); } - secp256k1_ecmult_table_precomp_ge_storage_var(*ctx->pre_g_128, &g_128j, WINDOW_G); + secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g_128, &g_128j, cb); } #endif } -static void secp256k1_ecmult_context_clone(secp256k1_ecmult_context_t *dst, - const secp256k1_ecmult_context_t *src) { +static void secp256k1_ecmult_context_clone(secp256k1_ecmult_context *dst, + const secp256k1_ecmult_context *src, const secp256k1_callback *cb) { if (src->pre_g == NULL) { dst->pre_g = NULL; } else { size_t size = sizeof((*dst->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G); - dst->pre_g = (secp256k1_ge_storage_t (*)[])checked_malloc(size); + dst->pre_g = (secp256k1_ge_storage (*)[])checked_malloc(cb, size); memcpy(dst->pre_g, src->pre_g, size); } #ifdef USE_ENDOMORPHISM @@ -145,17 +190,17 @@ static void secp256k1_ecmult_context_clone(secp256k1_ecmult_context_t *dst, dst->pre_g_128 = NULL; } else { size_t size = sizeof((*dst->pre_g_128)[0]) * ECMULT_TABLE_SIZE(WINDOW_G); - dst->pre_g_128 = (secp256k1_ge_storage_t (*)[])checked_malloc(size); + dst->pre_g_128 = (secp256k1_ge_storage (*)[])checked_malloc(cb, size); memcpy(dst->pre_g_128, src->pre_g_128, size); } #endif } -static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context_t *ctx) { +static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx) { return ctx->pre_g != NULL; } -static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context_t *ctx) { +static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context *ctx) { free(ctx->pre_g); #ifdef USE_ENDOMORPHISM free(ctx->pre_g_128); @@ -168,54 +213,68 @@ static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context_t *ctx) { * - each wnaf[i] is either 0, or an odd integer between -(1<<(w-1) - 1) and (1<<(w-1) - 1) * - two non-zero entries in wnaf are separated by at least w-1 zeroes. * - the number of set values in wnaf is returned. This number is at most 256, and at most one more - * - than the number of bits in the (absolute value) of the input. + * than the number of bits in the (absolute value) of the input. */ -static int secp256k1_ecmult_wnaf(int *wnaf, const secp256k1_scalar_t *a, int w) { - secp256k1_scalar_t s = *a; - int set_bits = 0; +static int secp256k1_ecmult_wnaf(int *wnaf, int len, const secp256k1_scalar *a, int w) { + secp256k1_scalar s = *a; + int last_set_bit = -1; int bit = 0; int sign = 1; + int carry = 0; + + VERIFY_CHECK(wnaf != NULL); + VERIFY_CHECK(0 <= len && len <= 256); + VERIFY_CHECK(a != NULL); + VERIFY_CHECK(2 <= w && w <= 31); + + memset(wnaf, 0, len * sizeof(wnaf[0])); if (secp256k1_scalar_get_bits(&s, 255, 1)) { secp256k1_scalar_negate(&s, &s); sign = -1; } - while (bit < 256) { + while (bit < len) { int now; int word; - if (secp256k1_scalar_get_bits(&s, bit, 1) == 0) { + if (secp256k1_scalar_get_bits(&s, bit, 1) == (unsigned int)carry) { bit++; continue; } - while (set_bits < bit) { - wnaf[set_bits++] = 0; - } + now = w; - if (bit + now > 256) { - now = 256 - bit; - } - word = secp256k1_scalar_get_bits_var(&s, bit, now); - if (word & (1 << (w-1))) { - secp256k1_scalar_add_bit(&s, bit + w); - wnaf[set_bits++] = sign * (word - (1 << w)); - } else { - wnaf[set_bits++] = sign * word; + if (now > len - bit) { + now = len - bit; } + + word = secp256k1_scalar_get_bits_var(&s, bit, now) + carry; + + carry = (word >> (w-1)) & 1; + word -= carry << w; + + wnaf[bit] = sign * word; + last_set_bit = bit; + bit += now; } - return set_bits; +#ifdef VERIFY + CHECK(carry == 0); + while (bit < 256) { + CHECK(secp256k1_scalar_get_bits(&s, bit++, 1) == 0); + } +#endif + return last_set_bit + 1; } -static void secp256k1_ecmult(const secp256k1_ecmult_context_t *ctx, secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_scalar_t *na, const secp256k1_scalar_t *ng) { - secp256k1_gej_t tmpj; - secp256k1_gej_t pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; - secp256k1_ge_t tmpa; +static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { + secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; + secp256k1_ge tmpa; + secp256k1_fe Z; #ifdef USE_ENDOMORPHISM - secp256k1_gej_t pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; - secp256k1_scalar_t na_1, na_lam; + secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; + secp256k1_scalar na_1, na_lam; /* Splitted G factors. */ - secp256k1_scalar_t ng_1, ng_128; + secp256k1_scalar ng_1, ng_128; int wnaf_na_1[130]; int wnaf_na_lam[130]; int bits_na_1; @@ -227,7 +286,7 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context_t *ctx, secp256k1_ge #else int wnaf_na[256]; int bits_na; - int wnaf_ng[257]; + int wnaf_ng[256]; int bits_ng; #endif int i; @@ -235,11 +294,11 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context_t *ctx, secp256k1_ge #ifdef USE_ENDOMORPHISM /* split na into na_1 and na_lam (where na = na_1 + na_lam*lambda, and na_1 and na_lam are ~128 bit) */ - secp256k1_scalar_split_lambda_var(&na_1, &na_lam, na); + secp256k1_scalar_split_lambda(&na_1, &na_lam, na); /* build wnaf representation for na_1 and na_lam. */ - bits_na_1 = secp256k1_ecmult_wnaf(wnaf_na_1, &na_1, WINDOW_A); - bits_na_lam = secp256k1_ecmult_wnaf(wnaf_na_lam, &na_lam, WINDOW_A); + bits_na_1 = secp256k1_ecmult_wnaf(wnaf_na_1, 130, &na_1, WINDOW_A); + bits_na_lam = secp256k1_ecmult_wnaf(wnaf_na_lam, 130, &na_lam, WINDOW_A); VERIFY_CHECK(bits_na_1 <= 130); VERIFY_CHECK(bits_na_lam <= 130); bits = bits_na_1; @@ -248,24 +307,33 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context_t *ctx, secp256k1_ge } #else /* build wnaf representation for na. */ - bits_na = secp256k1_ecmult_wnaf(wnaf_na, na, WINDOW_A); + bits_na = secp256k1_ecmult_wnaf(wnaf_na, 256, na, WINDOW_A); bits = bits_na; #endif - /* calculate odd multiples of a */ - secp256k1_ecmult_table_precomp_gej_var(pre_a, a, WINDOW_A); + /* Calculate odd multiples of a. + * All multiples are brought to the same Z 'denominator', which is stored + * in Z. Due to secp256k1' isomorphism we can do all operations pretending + * that the Z coordinate was 1, use affine addition formulae, and correct + * the Z coordinate of the result once at the end. + * The exception is the precomputed G table points, which are actually + * affine. Compared to the base used for other points, they have a Z ratio + * of 1/Z, so we can use secp256k1_gej_add_zinv_var, which uses the same + * isomorphism to efficiently add with a known Z inverse. + */ + secp256k1_ecmult_odd_multiples_table_globalz_windowa(pre_a, &Z, a); #ifdef USE_ENDOMORPHISM for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { - secp256k1_gej_mul_lambda(&pre_a_lam[i], &pre_a[i]); + secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]); } /* split ng into ng_1 and ng_128 (where gn = gn_1 + gn_128*2^128, and gn_1 and gn_128 are ~128 bit) */ secp256k1_scalar_split_128(&ng_1, &ng_128, ng); /* Build wnaf representation for ng_1 and ng_128 */ - bits_ng_1 = secp256k1_ecmult_wnaf(wnaf_ng_1, &ng_1, WINDOW_G); - bits_ng_128 = secp256k1_ecmult_wnaf(wnaf_ng_128, &ng_128, WINDOW_G); + bits_ng_1 = secp256k1_ecmult_wnaf(wnaf_ng_1, 129, &ng_1, WINDOW_G); + bits_ng_128 = secp256k1_ecmult_wnaf(wnaf_ng_128, 129, &ng_128, WINDOW_G); if (bits_ng_1 > bits) { bits = bits_ng_1; } @@ -273,7 +341,7 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context_t *ctx, secp256k1_ge bits = bits_ng_128; } #else - bits_ng = secp256k1_ecmult_wnaf(wnaf_ng, ng, WINDOW_G); + bits_ng = secp256k1_ecmult_wnaf(wnaf_ng, 256, ng, WINDOW_G); if (bits_ng > bits) { bits = bits_ng; } @@ -281,37 +349,41 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context_t *ctx, secp256k1_ge secp256k1_gej_set_infinity(r); - for (i = bits-1; i >= 0; i--) { + for (i = bits - 1; i >= 0; i--) { int n; - secp256k1_gej_double_var(r, r); + secp256k1_gej_double_var(r, r, NULL); #ifdef USE_ENDOMORPHISM if (i < bits_na_1 && (n = wnaf_na_1[i])) { - ECMULT_TABLE_GET_GEJ(&tmpj, pre_a, n, WINDOW_A); - secp256k1_gej_add_var(r, r, &tmpj); + ECMULT_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A); + secp256k1_gej_add_ge_var(r, r, &tmpa, NULL); } if (i < bits_na_lam && (n = wnaf_na_lam[i])) { - ECMULT_TABLE_GET_GEJ(&tmpj, pre_a_lam, n, WINDOW_A); - secp256k1_gej_add_var(r, r, &tmpj); + ECMULT_TABLE_GET_GE(&tmpa, pre_a_lam, n, WINDOW_A); + secp256k1_gej_add_ge_var(r, r, &tmpa, NULL); } if (i < bits_ng_1 && (n = wnaf_ng_1[i])) { ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g, n, WINDOW_G); - secp256k1_gej_add_ge_var(r, r, &tmpa); + secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); } if (i < bits_ng_128 && (n = wnaf_ng_128[i])) { ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g_128, n, WINDOW_G); - secp256k1_gej_add_ge_var(r, r, &tmpa); + secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); } #else if (i < bits_na && (n = wnaf_na[i])) { - ECMULT_TABLE_GET_GEJ(&tmpj, pre_a, n, WINDOW_A); - secp256k1_gej_add_var(r, r, &tmpj); + ECMULT_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A); + secp256k1_gej_add_ge_var(r, r, &tmpa, NULL); } if (i < bits_ng && (n = wnaf_ng[i])) { ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g, n, WINDOW_G); - secp256k1_gej_add_ge_var(r, r, &tmpa); + secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); } #endif } + + if (!r->infinity) { + secp256k1_fe_mul(&r->z, &r->z, &Z); + } } #endif diff --git a/src/field.h b/src/field.h index 41b280892d..2d52af5e36 100644 --- a/src/field.h +++ b/src/field.h @@ -10,7 +10,7 @@ /** Field element module. * * Field elements can be represented in several ways, but code accessing - * it (and implementations) need to take certain properaties into account: + * it (and implementations) need to take certain properties into account: * - Each field element can be normalized or not. * - Each field element has a magnitude, which represents how far away * its representation is away from normalization. Normalized elements @@ -31,89 +31,91 @@ #endif /** Normalize a field element. */ -static void secp256k1_fe_normalize(secp256k1_fe_t *r); +static void secp256k1_fe_normalize(secp256k1_fe *r); /** Weakly normalize a field element: reduce it magnitude to 1, but don't fully normalize. */ -static void secp256k1_fe_normalize_weak(secp256k1_fe_t *r); +static void secp256k1_fe_normalize_weak(secp256k1_fe *r); /** Normalize a field element, without constant-time guarantee. */ -static void secp256k1_fe_normalize_var(secp256k1_fe_t *r); +static void secp256k1_fe_normalize_var(secp256k1_fe *r); /** Verify whether a field element represents zero i.e. would normalize to a zero value. The field * implementation may optionally normalize the input, but this should not be relied upon. */ -static int secp256k1_fe_normalizes_to_zero(secp256k1_fe_t *r); +static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r); /** Verify whether a field element represents zero i.e. would normalize to a zero value. The field * implementation may optionally normalize the input, but this should not be relied upon. */ -static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe_t *r); +static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r); /** Set a field element equal to a small integer. Resulting field element is normalized. */ -static void secp256k1_fe_set_int(secp256k1_fe_t *r, int a); +static void secp256k1_fe_set_int(secp256k1_fe *r, int a); /** Verify whether a field element is zero. Requires the input to be normalized. */ -static int secp256k1_fe_is_zero(const secp256k1_fe_t *a); +static int secp256k1_fe_is_zero(const secp256k1_fe *a); /** Check the "oddness" of a field element. Requires the input to be normalized. */ -static int secp256k1_fe_is_odd(const secp256k1_fe_t *a); +static int secp256k1_fe_is_odd(const secp256k1_fe *a); /** Compare two field elements. Requires magnitude-1 inputs. */ -static int secp256k1_fe_equal_var(const secp256k1_fe_t *a, const secp256k1_fe_t *b); +static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b); /** Compare two field elements. Requires both inputs to be normalized */ -static int secp256k1_fe_cmp_var(const secp256k1_fe_t *a, const secp256k1_fe_t *b); +static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b); -/** Set a field element equal to 32-byte big endian value. If succesful, the resulting field element is normalized. */ -static int secp256k1_fe_set_b32(secp256k1_fe_t *r, const unsigned char *a); +/** Set a field element equal to 32-byte big endian value. If successful, the resulting field element is normalized. */ +static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a); /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ -static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe_t *a); +static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a); /** Set a field element equal to the additive inverse of another. Takes a maximum magnitude of the input * as an argument. The magnitude of the output is one higher. */ -static void secp256k1_fe_negate(secp256k1_fe_t *r, const secp256k1_fe_t *a, int m); +static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m); /** Multiplies the passed field element with a small integer constant. Multiplies the magnitude by that * small integer. */ -static void secp256k1_fe_mul_int(secp256k1_fe_t *r, int a); +static void secp256k1_fe_mul_int(secp256k1_fe *r, int a); /** Adds a field element to another. The result has the sum of the inputs' magnitudes as magnitude. */ -static void secp256k1_fe_add(secp256k1_fe_t *r, const secp256k1_fe_t *a); +static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a); /** Sets a field element to be the product of two others. Requires the inputs' magnitudes to be at most 8. * The output magnitude is 1 (but not guaranteed to be normalized). */ -static void secp256k1_fe_mul(secp256k1_fe_t *r, const secp256k1_fe_t *a, const secp256k1_fe_t * SECP256K1_RESTRICT b); +static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b); /** Sets a field element to be the square of another. Requires the input's magnitude to be at most 8. * The output magnitude is 1 (but not guaranteed to be normalized). */ -static void secp256k1_fe_sqr(secp256k1_fe_t *r, const secp256k1_fe_t *a); +static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a); -/** Sets a field element to be the (modular) square root (if any exist) of another. Requires the - * input's magnitude to be at most 8. The output magnitude is 1 (but not guaranteed to be - * normalized). Return value indicates whether a square root was found. */ -static int secp256k1_fe_sqrt_var(secp256k1_fe_t *r, const secp256k1_fe_t *a); +/** If a has a square root, it is computed in r and 1 is returned. If a does not + * have a square root, the root of its negation is computed and 0 is returned. + * The input's magnitude can be at most 8. The output magnitude is 1 (but not + * guaranteed to be normalized). The result in r will always be a square + * itself. */ +static int secp256k1_fe_sqrt_var(secp256k1_fe *r, const secp256k1_fe *a); /** Sets a field element to be the (modular) inverse of another. Requires the input's magnitude to be * at most 8. The output magnitude is 1 (but not guaranteed to be normalized). */ -static void secp256k1_fe_inv(secp256k1_fe_t *r, const secp256k1_fe_t *a); +static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a); /** Potentially faster version of secp256k1_fe_inv, without constant-time guarantee. */ -static void secp256k1_fe_inv_var(secp256k1_fe_t *r, const secp256k1_fe_t *a); +static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a); /** Calculate the (modular) inverses of a batch of field elements. Requires the inputs' magnitudes to be * at most 8. The output magnitudes are 1 (but not guaranteed to be normalized). The inputs and * outputs must not overlap in memory. */ -static void secp256k1_fe_inv_all_var(size_t len, secp256k1_fe_t *r, const secp256k1_fe_t *a); +static void secp256k1_fe_inv_all_var(size_t len, secp256k1_fe *r, const secp256k1_fe *a); /** Convert a field element to the storage type. */ -static void secp256k1_fe_to_storage(secp256k1_fe_storage_t *r, const secp256k1_fe_t*); +static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a); /** Convert a field element back from the storage type. */ -static void secp256k1_fe_from_storage(secp256k1_fe_t *r, const secp256k1_fe_storage_t*); +static void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a); /** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. */ -static void secp256k1_fe_storage_cmov(secp256k1_fe_storage_t *r, const secp256k1_fe_storage_t *a, int flag); +static void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag); /** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. */ -static void secp256k1_fe_cmov(secp256k1_fe_t *r, const secp256k1_fe_t *a, int flag); +static void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag); #endif diff --git a/src/field_10x26.h b/src/field_10x26.h index 44bce6525d..61ee1e0965 100644 --- a/src/field_10x26.h +++ b/src/field_10x26.h @@ -16,20 +16,20 @@ typedef struct { int magnitude; int normalized; #endif -} secp256k1_fe_t; +} secp256k1_fe; /* Unpacks a constant into a overlapping multi-limbed FE element. */ #define SECP256K1_FE_CONST_INNER(d7, d6, d5, d4, d3, d2, d1, d0) { \ (d0) & 0x3FFFFFFUL, \ - ((d0) >> 26) | ((d1) & 0xFFFFFUL) << 6, \ - ((d1) >> 20) | ((d2) & 0x3FFFUL) << 12, \ - ((d2) >> 14) | ((d3) & 0xFFUL) << 18, \ - ((d3) >> 8) | ((d4) & 0x3) << 24, \ - ((d4) >> 2) & 0x3FFFFFFUL, \ - ((d4) >> 28) | ((d5) & 0x3FFFFFUL) << 4, \ - ((d5) >> 22) | ((d6) & 0xFFFF) << 10, \ - ((d6) >> 16) | ((d7) & 0x3FF) << 16, \ - ((d7) >> 10) \ + (((uint32_t)d0) >> 26) | (((uint32_t)(d1) & 0xFFFFFUL) << 6), \ + (((uint32_t)d1) >> 20) | (((uint32_t)(d2) & 0x3FFFUL) << 12), \ + (((uint32_t)d2) >> 14) | (((uint32_t)(d3) & 0xFFUL) << 18), \ + (((uint32_t)d3) >> 8) | (((uint32_t)(d4) & 0x3UL) << 24), \ + (((uint32_t)d4) >> 2) & 0x3FFFFFFUL, \ + (((uint32_t)d4) >> 28) | (((uint32_t)(d5) & 0x3FFFFFUL) << 4), \ + (((uint32_t)d5) >> 22) | (((uint32_t)(d6) & 0xFFFFUL) << 10), \ + (((uint32_t)d6) >> 16) | (((uint32_t)(d7) & 0x3FFUL) << 16), \ + (((uint32_t)d7) >> 10) \ } #ifdef VERIFY @@ -40,8 +40,8 @@ typedef struct { typedef struct { uint32_t n[8]; -} secp256k1_fe_storage_t; +} secp256k1_fe_storage; #define SECP256K1_FE_STORAGE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{ (d0), (d1), (d2), (d3), (d4), (d5), (d6), (d7) }} - +#define SECP256K1_FE_STORAGE_CONST_GET(d) d.n[7], d.n[6], d.n[5], d.n[4],d.n[3], d.n[2], d.n[1], d.n[0] #endif diff --git a/src/field_10x26_impl.h b/src/field_10x26_impl.h index 871b91f912..212cc5396a 100644 --- a/src/field_10x26_impl.h +++ b/src/field_10x26_impl.h @@ -14,7 +14,7 @@ #include "field.h" #ifdef VERIFY -static void secp256k1_fe_verify(const secp256k1_fe_t *a) { +static void secp256k1_fe_verify(const secp256k1_fe *a) { const uint32_t *d = a->n; int m = a->normalized ? 1 : 2 * a->magnitude, r = 1; r &= (d[0] <= 0x3FFFFFFUL * m); @@ -41,12 +41,12 @@ static void secp256k1_fe_verify(const secp256k1_fe_t *a) { VERIFY_CHECK(r == 1); } #else -static void secp256k1_fe_verify(const secp256k1_fe_t *a) { +static void secp256k1_fe_verify(const secp256k1_fe *a) { (void)a; } #endif -static void secp256k1_fe_normalize(secp256k1_fe_t *r) { +static void secp256k1_fe_normalize(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -101,7 +101,7 @@ static void secp256k1_fe_normalize(secp256k1_fe_t *r) { #endif } -static void secp256k1_fe_normalize_weak(secp256k1_fe_t *r) { +static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -132,7 +132,7 @@ static void secp256k1_fe_normalize_weak(secp256k1_fe_t *r) { #endif } -static void secp256k1_fe_normalize_var(secp256k1_fe_t *r) { +static void secp256k1_fe_normalize_var(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -188,7 +188,7 @@ static void secp256k1_fe_normalize_var(secp256k1_fe_t *r) { #endif } -static int secp256k1_fe_normalizes_to_zero(secp256k1_fe_t *r) { +static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -217,7 +217,7 @@ static int secp256k1_fe_normalizes_to_zero(secp256k1_fe_t *r) { return (z0 == 0) | (z1 == 0x3FFFFFFUL); } -static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe_t *r) { +static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) { uint32_t t0, t1, t2, t3, t4, t5, t6, t7, t8, t9; uint32_t z0, z1; uint32_t x; @@ -252,7 +252,7 @@ static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe_t *r) { t9 &= 0x03FFFFFUL; t1 += (x << 6); - t1 += (t0 >> 26); t0 = z0; + t1 += (t0 >> 26); t2 += (t1 >> 26); t1 &= 0x3FFFFFFUL; z0 |= t1; z1 &= t1 ^ 0x40UL; t3 += (t2 >> 26); t2 &= 0x3FFFFFFUL; z0 |= t2; z1 &= t2; t4 += (t3 >> 26); t3 &= 0x3FFFFFFUL; z0 |= t3; z1 &= t3; @@ -269,7 +269,7 @@ static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe_t *r) { return (z0 == 0) | (z1 == 0x3FFFFFFUL); } -SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe_t *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { r->n[0] = a; r->n[1] = r->n[2] = r->n[3] = r->n[4] = r->n[5] = r->n[6] = r->n[7] = r->n[8] = r->n[9] = 0; #ifdef VERIFY @@ -279,7 +279,7 @@ SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe_t *r, int a) { #endif } -SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe_t *a) { +SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { const uint32_t *t = a->n; #ifdef VERIFY VERIFY_CHECK(a->normalized); @@ -288,7 +288,7 @@ SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe_t *a) { return (t[0] | t[1] | t[2] | t[3] | t[4] | t[5] | t[6] | t[7] | t[8] | t[9]) == 0; } -SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe_t *a) { +SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { #ifdef VERIFY VERIFY_CHECK(a->normalized); secp256k1_fe_verify(a); @@ -296,7 +296,7 @@ SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe_t *a) { return a->n[0] & 1; } -SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe_t *a) { +SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { int i; #ifdef VERIFY a->magnitude = 0; @@ -307,7 +307,7 @@ SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe_t *a) { } } -static int secp256k1_fe_cmp_var(const secp256k1_fe_t *a, const secp256k1_fe_t *b) { +static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { int i; #ifdef VERIFY VERIFY_CHECK(a->normalized); @@ -326,7 +326,7 @@ static int secp256k1_fe_cmp_var(const secp256k1_fe_t *a, const secp256k1_fe_t *b return 0; } -static int secp256k1_fe_set_b32(secp256k1_fe_t *r, const unsigned char *a) { +static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { int i; r->n[0] = r->n[1] = r->n[2] = r->n[3] = r->n[4] = 0; r->n[5] = r->n[6] = r->n[7] = r->n[8] = r->n[9] = 0; @@ -350,7 +350,7 @@ static int secp256k1_fe_set_b32(secp256k1_fe_t *r, const unsigned char *a) { } /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ -static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe_t *a) { +static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { int i; #ifdef VERIFY VERIFY_CHECK(a->normalized); @@ -368,7 +368,7 @@ static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe_t *a) { } } -SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe_t *r, const secp256k1_fe_t *a, int m) { +SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m) { #ifdef VERIFY VERIFY_CHECK(a->magnitude <= m); secp256k1_fe_verify(a); @@ -390,7 +390,7 @@ SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe_t *r, const secp25 #endif } -SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe_t *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { r->n[0] *= a; r->n[1] *= a; r->n[2] *= a; @@ -408,7 +408,7 @@ SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe_t *r, int a) { #endif } -SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe_t *r, const secp256k1_fe_t *a) { +SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { #ifdef VERIFY secp256k1_fe_verify(a); #endif @@ -1039,7 +1039,7 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint32_t *r, const uint32_t } -static void secp256k1_fe_mul(secp256k1_fe_t *r, const secp256k1_fe_t *a, const secp256k1_fe_t * SECP256K1_RESTRICT b) { +static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { #ifdef VERIFY VERIFY_CHECK(a->magnitude <= 8); VERIFY_CHECK(b->magnitude <= 8); @@ -1055,7 +1055,7 @@ static void secp256k1_fe_mul(secp256k1_fe_t *r, const secp256k1_fe_t *a, const s #endif } -static void secp256k1_fe_sqr(secp256k1_fe_t *r, const secp256k1_fe_t *a) { +static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { #ifdef VERIFY VERIFY_CHECK(a->magnitude <= 8); secp256k1_fe_verify(a); @@ -1068,7 +1068,7 @@ static void secp256k1_fe_sqr(secp256k1_fe_t *r, const secp256k1_fe_t *a) { #endif } -static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe_t *r, const secp256k1_fe_t *a, int flag) { +static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { uint32_t mask0, mask1; mask0 = flag + ~((uint32_t)0); mask1 = ~mask0; @@ -1083,12 +1083,14 @@ static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe_t *r, const secp256k r->n[8] = (r->n[8] & mask0) | (a->n[8] & mask1); r->n[9] = (r->n[9] & mask0) | (a->n[9] & mask1); #ifdef VERIFY - r->magnitude = (r->magnitude & mask0) | (a->magnitude & mask1); - r->normalized = (r->normalized & mask0) | (a->normalized & mask1); + if (a->magnitude > r->magnitude) { + r->magnitude = a->magnitude; + } + r->normalized &= a->normalized; #endif } -static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage_t *r, const secp256k1_fe_storage_t *a, int flag) { +static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) { uint32_t mask0, mask1; mask0 = flag + ~((uint32_t)0); mask1 = ~mask0; @@ -1102,7 +1104,7 @@ static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage_t *r r->n[7] = (r->n[7] & mask0) | (a->n[7] & mask1); } -static void secp256k1_fe_to_storage(secp256k1_fe_storage_t *r, const secp256k1_fe_t *a) { +static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { #ifdef VERIFY VERIFY_CHECK(a->normalized); #endif @@ -1116,7 +1118,7 @@ static void secp256k1_fe_to_storage(secp256k1_fe_storage_t *r, const secp256k1_f r->n[7] = a->n[8] >> 16 | a->n[9] << 10; } -static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe_t *r, const secp256k1_fe_storage_t *a) { +static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { r->n[0] = a->n[0] & 0x3FFFFFFUL; r->n[1] = a->n[0] >> 26 | ((a->n[1] << 6) & 0x3FFFFFFUL); r->n[2] = a->n[1] >> 20 | ((a->n[2] << 12) & 0x3FFFFFFUL); diff --git a/src/field_5x52.h b/src/field_5x52.h index 4513d36f49..8e69a560dc 100644 --- a/src/field_5x52.h +++ b/src/field_5x52.h @@ -16,15 +16,15 @@ typedef struct { int magnitude; int normalized; #endif -} secp256k1_fe_t; +} secp256k1_fe; /* Unpacks a constant into a overlapping multi-limbed FE element. */ #define SECP256K1_FE_CONST_INNER(d7, d6, d5, d4, d3, d2, d1, d0) { \ - (d0) | ((uint64_t)(d1) & 0xFFFFFUL) << 32, \ - ((d1) >> 20) | ((uint64_t)(d2)) << 12 | ((uint64_t)(d3) & 0xFFUL) << 44, \ - ((d3) >> 8) | ((uint64_t)(d4) & 0xFFFFFFFUL) << 24, \ - ((d4) >> 28) | ((uint64_t)(d5)) << 4 | ((uint64_t)(d6) & 0xFFFFUL) << 36, \ - ((d6) >> 16) | ((uint64_t)(d7)) << 16 \ + (d0) | (((uint64_t)(d1) & 0xFFFFFUL) << 32), \ + ((uint64_t)(d1) >> 20) | (((uint64_t)(d2)) << 12) | (((uint64_t)(d3) & 0xFFUL) << 44), \ + ((uint64_t)(d3) >> 8) | (((uint64_t)(d4) & 0xFFFFFFFUL) << 24), \ + ((uint64_t)(d4) >> 28) | (((uint64_t)(d5)) << 4) | (((uint64_t)(d6) & 0xFFFFUL) << 36), \ + ((uint64_t)(d6) >> 16) | (((uint64_t)(d7)) << 16) \ } #ifdef VERIFY @@ -35,13 +35,13 @@ typedef struct { typedef struct { uint64_t n[4]; -} secp256k1_fe_storage_t; +} secp256k1_fe_storage; #define SECP256K1_FE_STORAGE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{ \ - (d0) | ((uint64_t)(d1)) << 32, \ - (d2) | ((uint64_t)(d3)) << 32, \ - (d4) | ((uint64_t)(d5)) << 32, \ - (d6) | ((uint64_t)(d7)) << 32 \ + (d0) | (((uint64_t)(d1)) << 32), \ + (d2) | (((uint64_t)(d3)) << 32), \ + (d4) | (((uint64_t)(d5)) << 32), \ + (d6) | (((uint64_t)(d7)) << 32) \ }} #endif diff --git a/src/field_5x52_impl.h b/src/field_5x52_impl.h index bda4c3dfc2..b31e24ab81 100644 --- a/src/field_5x52_impl.h +++ b/src/field_5x52_impl.h @@ -31,7 +31,7 @@ */ #ifdef VERIFY -static void secp256k1_fe_verify(const secp256k1_fe_t *a) { +static void secp256k1_fe_verify(const secp256k1_fe *a) { const uint64_t *d = a->n; int m = a->normalized ? 1 : 2 * a->magnitude, r = 1; /* secp256k1 'p' value defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ @@ -51,12 +51,12 @@ static void secp256k1_fe_verify(const secp256k1_fe_t *a) { VERIFY_CHECK(r == 1); } #else -static void secp256k1_fe_verify(const secp256k1_fe_t *a) { +static void secp256k1_fe_verify(const secp256k1_fe *a) { (void)a; } #endif -static void secp256k1_fe_normalize(secp256k1_fe_t *r) { +static void secp256k1_fe_normalize(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* Reduce t4 at the start so there will be at most a single carry from the first pass */ @@ -99,7 +99,7 @@ static void secp256k1_fe_normalize(secp256k1_fe_t *r) { #endif } -static void secp256k1_fe_normalize_weak(secp256k1_fe_t *r) { +static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* Reduce t4 at the start so there will be at most a single carry from the first pass */ @@ -123,7 +123,7 @@ static void secp256k1_fe_normalize_weak(secp256k1_fe_t *r) { #endif } -static void secp256k1_fe_normalize_var(secp256k1_fe_t *r) { +static void secp256k1_fe_normalize_var(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* Reduce t4 at the start so there will be at most a single carry from the first pass */ @@ -167,7 +167,7 @@ static void secp256k1_fe_normalize_var(secp256k1_fe_t *r) { #endif } -static int secp256k1_fe_normalizes_to_zero(secp256k1_fe_t *r) { +static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* z0 tracks a possible raw value of 0, z1 tracks a possible raw value of P */ @@ -190,7 +190,7 @@ static int secp256k1_fe_normalizes_to_zero(secp256k1_fe_t *r) { return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL); } -static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe_t *r) { +static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) { uint64_t t0, t1, t2, t3, t4; uint64_t z0, z1; uint64_t x; @@ -219,7 +219,7 @@ static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe_t *r) { t4 &= 0x0FFFFFFFFFFFFULL; - t1 += (t0 >> 52); t0 = z0; + t1 += (t0 >> 52); t2 += (t1 >> 52); t1 &= 0xFFFFFFFFFFFFFULL; z0 |= t1; z1 &= t1; t3 += (t2 >> 52); t2 &= 0xFFFFFFFFFFFFFULL; z0 |= t2; z1 &= t2; t4 += (t3 >> 52); t3 &= 0xFFFFFFFFFFFFFULL; z0 |= t3; z1 &= t3; @@ -231,7 +231,7 @@ static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe_t *r) { return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL); } -SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe_t *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { r->n[0] = a; r->n[1] = r->n[2] = r->n[3] = r->n[4] = 0; #ifdef VERIFY @@ -241,7 +241,7 @@ SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe_t *r, int a) { #endif } -SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe_t *a) { +SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { const uint64_t *t = a->n; #ifdef VERIFY VERIFY_CHECK(a->normalized); @@ -250,7 +250,7 @@ SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe_t *a) { return (t[0] | t[1] | t[2] | t[3] | t[4]) == 0; } -SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe_t *a) { +SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { #ifdef VERIFY VERIFY_CHECK(a->normalized); secp256k1_fe_verify(a); @@ -258,7 +258,7 @@ SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe_t *a) { return a->n[0] & 1; } -SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe_t *a) { +SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { int i; #ifdef VERIFY a->magnitude = 0; @@ -269,7 +269,7 @@ SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe_t *a) { } } -static int secp256k1_fe_cmp_var(const secp256k1_fe_t *a, const secp256k1_fe_t *b) { +static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { int i; #ifdef VERIFY VERIFY_CHECK(a->normalized); @@ -288,7 +288,7 @@ static int secp256k1_fe_cmp_var(const secp256k1_fe_t *a, const secp256k1_fe_t *b return 0; } -static int secp256k1_fe_set_b32(secp256k1_fe_t *r, const unsigned char *a) { +static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { int i; r->n[0] = r->n[1] = r->n[2] = r->n[3] = r->n[4] = 0; for (i=0; i<32; i++) { @@ -311,7 +311,7 @@ static int secp256k1_fe_set_b32(secp256k1_fe_t *r, const unsigned char *a) { } /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ -static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe_t *a) { +static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { int i; #ifdef VERIFY VERIFY_CHECK(a->normalized); @@ -329,7 +329,7 @@ static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe_t *a) { } } -SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe_t *r, const secp256k1_fe_t *a, int m) { +SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m) { #ifdef VERIFY VERIFY_CHECK(a->magnitude <= m); secp256k1_fe_verify(a); @@ -346,7 +346,7 @@ SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe_t *r, const secp25 #endif } -SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe_t *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { r->n[0] *= a; r->n[1] *= a; r->n[2] *= a; @@ -359,7 +359,7 @@ SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe_t *r, int a) { #endif } -SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe_t *r, const secp256k1_fe_t *a) { +SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { #ifdef VERIFY secp256k1_fe_verify(a); #endif @@ -375,7 +375,7 @@ SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe_t *r, const secp256k1 #endif } -static void secp256k1_fe_mul(secp256k1_fe_t *r, const secp256k1_fe_t *a, const secp256k1_fe_t * SECP256K1_RESTRICT b) { +static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { #ifdef VERIFY VERIFY_CHECK(a->magnitude <= 8); VERIFY_CHECK(b->magnitude <= 8); @@ -391,7 +391,7 @@ static void secp256k1_fe_mul(secp256k1_fe_t *r, const secp256k1_fe_t *a, const s #endif } -static void secp256k1_fe_sqr(secp256k1_fe_t *r, const secp256k1_fe_t *a) { +static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { #ifdef VERIFY VERIFY_CHECK(a->magnitude <= 8); secp256k1_fe_verify(a); @@ -404,7 +404,7 @@ static void secp256k1_fe_sqr(secp256k1_fe_t *r, const secp256k1_fe_t *a) { #endif } -static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe_t *r, const secp256k1_fe_t *a, int flag) { +static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { uint64_t mask0, mask1; mask0 = flag + ~((uint64_t)0); mask1 = ~mask0; @@ -414,12 +414,14 @@ static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe_t *r, const secp256k r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); r->n[4] = (r->n[4] & mask0) | (a->n[4] & mask1); #ifdef VERIFY - r->magnitude = (r->magnitude & mask0) | (a->magnitude & mask1); - r->normalized = (r->normalized & mask0) | (a->normalized & mask1); + if (a->magnitude > r->magnitude) { + r->magnitude = a->magnitude; + } + r->normalized &= a->normalized; #endif } -static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage_t *r, const secp256k1_fe_storage_t *a, int flag) { +static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) { uint64_t mask0, mask1; mask0 = flag + ~((uint64_t)0); mask1 = ~mask0; @@ -429,7 +431,7 @@ static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage_t *r r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); } -static void secp256k1_fe_to_storage(secp256k1_fe_storage_t *r, const secp256k1_fe_t *a) { +static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { #ifdef VERIFY VERIFY_CHECK(a->normalized); #endif @@ -439,7 +441,7 @@ static void secp256k1_fe_to_storage(secp256k1_fe_storage_t *r, const secp256k1_f r->n[3] = a->n[3] >> 36 | a->n[4] << 16; } -static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe_t *r, const secp256k1_fe_storage_t *a) { +static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { r->n[0] = a->n[0] & 0xFFFFFFFFFFFFFULL; r->n[1] = a->n[0] >> 52 | ((a->n[1] << 12) & 0xFFFFFFFFFFFFFULL); r->n[2] = a->n[1] >> 40 | ((a->n[2] << 24) & 0xFFFFFFFFFFFFFULL); diff --git a/src/field_impl.h b/src/field_impl.h index e6ec11e8f2..77f4aae2f9 100644 --- a/src/field_impl.h +++ b/src/field_impl.h @@ -21,15 +21,24 @@ #error "Please select field implementation" #endif -SECP256K1_INLINE static int secp256k1_fe_equal_var(const secp256k1_fe_t *a, const secp256k1_fe_t *b) { - secp256k1_fe_t na; +SECP256K1_INLINE static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b) { + secp256k1_fe na; secp256k1_fe_negate(&na, a, 1); secp256k1_fe_add(&na, b); return secp256k1_fe_normalizes_to_zero_var(&na); } -static int secp256k1_fe_sqrt_var(secp256k1_fe_t *r, const secp256k1_fe_t *a) { - secp256k1_fe_t x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1; +static int secp256k1_fe_sqrt_var(secp256k1_fe *r, const secp256k1_fe *a) { + /** Given that p is congruent to 3 mod 4, we can compute the square root of + * a mod p as the (p+1)/4'th power of a. + * + * As (p+1)/4 is an even number, it will have the same result for a and for + * (-a). Only one of these two numbers actually has a square root however, + * so we test at the end by squaring and comparing to the input. + * Also because (p+1)/4 is an even number, the computed square root is + * itself always a square (a ** ((p+1)/4) is the square of a ** ((p+1)/8)). + */ + secp256k1_fe x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1; int j; /** The binary representation of (p + 1)/4 has 3 blocks of 1s, with lengths in @@ -117,8 +126,8 @@ static int secp256k1_fe_sqrt_var(secp256k1_fe_t *r, const secp256k1_fe_t *a) { return secp256k1_fe_equal_var(&t1, a); } -static void secp256k1_fe_inv(secp256k1_fe_t *r, const secp256k1_fe_t *a) { - secp256k1_fe_t x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1; +static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a) { + secp256k1_fe x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1; int j; /** The binary representation of (p - 2) has 5 blocks of 1s, with lengths in @@ -207,11 +216,15 @@ static void secp256k1_fe_inv(secp256k1_fe_t *r, const secp256k1_fe_t *a) { secp256k1_fe_mul(r, a, &t1); } -static void secp256k1_fe_inv_var(secp256k1_fe_t *r, const secp256k1_fe_t *a) { +static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a) { #if defined(USE_FIELD_INV_BUILTIN) secp256k1_fe_inv(r, a); #elif defined(USE_FIELD_INV_NUM) - secp256k1_num_t n, m; + secp256k1_num n, m; + static const secp256k1_fe negone = SECP256K1_FE_CONST( + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, 0xFFFFFC2EUL + ); /* secp256k1 field prime, value p defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ static const unsigned char prime[32] = { 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, @@ -220,21 +233,28 @@ static void secp256k1_fe_inv_var(secp256k1_fe_t *r, const secp256k1_fe_t *a) { 0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F }; unsigned char b[32]; - secp256k1_fe_t c = *a; + int res; + secp256k1_fe c = *a; secp256k1_fe_normalize_var(&c); secp256k1_fe_get_b32(b, &c); secp256k1_num_set_bin(&n, b, 32); secp256k1_num_set_bin(&m, prime, 32); secp256k1_num_mod_inverse(&n, &n, &m); secp256k1_num_get_bin(b, 32, &n); - VERIFY_CHECK(secp256k1_fe_set_b32(r, b)); + res = secp256k1_fe_set_b32(r, b); + (void)res; + VERIFY_CHECK(res); + /* Verify the result is the (unique) valid inverse using non-GMP code. */ + secp256k1_fe_mul(&c, &c, r); + secp256k1_fe_add(&c, &negone); + CHECK(secp256k1_fe_normalizes_to_zero_var(&c)); #else #error "Please select field inverse implementation" #endif } -static void secp256k1_fe_inv_all_var(size_t len, secp256k1_fe_t *r, const secp256k1_fe_t *a) { - secp256k1_fe_t u; +static void secp256k1_fe_inv_all_var(size_t len, secp256k1_fe *r, const secp256k1_fe *a) { + secp256k1_fe u; size_t i; if (len < 1) { return; @@ -252,7 +272,7 @@ static void secp256k1_fe_inv_all_var(size_t len, secp256k1_fe_t *r, const secp25 secp256k1_fe_inv_var(&u, &r[--i]); while (i > 0) { - int j = i--; + size_t j = i--; secp256k1_fe_mul(&r[j], &r[i], &u); secp256k1_fe_mul(&u, &u, &a[j]); } diff --git a/src/gen_context.c b/src/gen_context.c new file mode 100644 index 0000000000..1835fd491d --- /dev/null +++ b/src/gen_context.c @@ -0,0 +1,74 @@ +/********************************************************************** + * Copyright (c) 2013, 2014, 2015 Thomas Daede, Cory Fields * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#define USE_BASIC_CONFIG 1 + +#include "basic-config.h" +#include "include/secp256k1.h" +#include "field_impl.h" +#include "scalar_impl.h" +#include "group_impl.h" +#include "ecmult_gen_impl.h" + +static void default_error_callback_fn(const char* str, void* data) { + (void)data; + fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str); + abort(); +} + +static const secp256k1_callback default_error_callback = { + default_error_callback_fn, + NULL +}; + +int main(int argc, char **argv) { + secp256k1_ecmult_gen_context ctx; + int inner; + int outer; + FILE* fp; + + (void)argc; + (void)argv; + + fp = fopen("src/ecmult_static_context.h","w"); + if (fp == NULL) { + fprintf(stderr, "Could not open src/ecmult_static_context.h for writing!\n"); + return -1; + } + + fprintf(fp, "#ifndef _SECP256K1_ECMULT_STATIC_CONTEXT_\n"); + fprintf(fp, "#define _SECP256K1_ECMULT_STATIC_CONTEXT_\n"); + fprintf(fp, "#include \"group.h\"\n"); + fprintf(fp, "#define SC SECP256K1_GE_STORAGE_CONST\n"); + fprintf(fp, "static const secp256k1_ge_storage secp256k1_ecmult_static_context[64][16] = {\n"); + + secp256k1_ecmult_gen_context_init(&ctx); + secp256k1_ecmult_gen_context_build(&ctx, &default_error_callback); + for(outer = 0; outer != 64; outer++) { + fprintf(fp,"{\n"); + for(inner = 0; inner != 16; inner++) { + fprintf(fp," SC(%uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu)", SECP256K1_GE_STORAGE_CONST_GET((*ctx.prec)[outer][inner])); + if (inner != 15) { + fprintf(fp,",\n"); + } else { + fprintf(fp,"\n"); + } + } + if (outer != 63) { + fprintf(fp,"},\n"); + } else { + fprintf(fp,"}\n"); + } + } + fprintf(fp,"};\n"); + secp256k1_ecmult_gen_context_clear(&ctx); + + fprintf(fp, "#undef SC\n"); + fprintf(fp, "#endif\n"); + fclose(fp); + + return 0; +} diff --git a/src/group.h b/src/group.h index 0b08b3b991..ebfe1ca70c 100644 --- a/src/group.h +++ b/src/group.h @@ -12,110 +12,130 @@ /** A group element of the secp256k1 curve, in affine coordinates. */ typedef struct { - secp256k1_fe_t x; - secp256k1_fe_t y; + secp256k1_fe x; + secp256k1_fe y; int infinity; /* whether this represents the point at infinity */ -} secp256k1_ge_t; +} secp256k1_ge; #define SECP256K1_GE_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) {SECP256K1_FE_CONST((a),(b),(c),(d),(e),(f),(g),(h)), SECP256K1_FE_CONST((i),(j),(k),(l),(m),(n),(o),(p)), 0} #define SECP256K1_GE_CONST_INFINITY {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), 1} /** A group element of the secp256k1 curve, in jacobian coordinates. */ typedef struct { - secp256k1_fe_t x; /* actual X: x/z^2 */ - secp256k1_fe_t y; /* actual Y: y/z^3 */ - secp256k1_fe_t z; + secp256k1_fe x; /* actual X: x/z^2 */ + secp256k1_fe y; /* actual Y: y/z^3 */ + secp256k1_fe z; int infinity; /* whether this represents the point at infinity */ -} secp256k1_gej_t; +} secp256k1_gej; #define SECP256K1_GEJ_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) {SECP256K1_FE_CONST((a),(b),(c),(d),(e),(f),(g),(h)), SECP256K1_FE_CONST((i),(j),(k),(l),(m),(n),(o),(p)), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1), 0} #define SECP256K1_GEJ_CONST_INFINITY {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), 1} typedef struct { - secp256k1_fe_storage_t x; - secp256k1_fe_storage_t y; -} secp256k1_ge_storage_t; + secp256k1_fe_storage x; + secp256k1_fe_storage y; +} secp256k1_ge_storage; #define SECP256K1_GE_STORAGE_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) {SECP256K1_FE_STORAGE_CONST((a),(b),(c),(d),(e),(f),(g),(h)), SECP256K1_FE_STORAGE_CONST((i),(j),(k),(l),(m),(n),(o),(p))} -/** Set a group element equal to the point at infinity */ -static void secp256k1_ge_set_infinity(secp256k1_ge_t *r); +#define SECP256K1_GE_STORAGE_CONST_GET(t) SECP256K1_FE_STORAGE_CONST_GET(t.x), SECP256K1_FE_STORAGE_CONST_GET(t.y) /** Set a group element equal to the point with given X and Y coordinates */ -static void secp256k1_ge_set_xy(secp256k1_ge_t *r, const secp256k1_fe_t *x, const secp256k1_fe_t *y); +static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y); + +/** Set a group element (affine) equal to the point with the given X coordinate + * and a Y coordinate that is a quadratic residue modulo p. The return value + * is true iff a coordinate with the given X coordinate exists. + */ +static int secp256k1_ge_set_xquad_var(secp256k1_ge *r, const secp256k1_fe *x); /** Set a group element (affine) equal to the point with the given X coordinate, and given oddness * for Y. Return value indicates whether the result is valid. */ -static int secp256k1_ge_set_xo_var(secp256k1_ge_t *r, const secp256k1_fe_t *x, int odd); +static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd); /** Check whether a group element is the point at infinity. */ -static int secp256k1_ge_is_infinity(const secp256k1_ge_t *a); +static int secp256k1_ge_is_infinity(const secp256k1_ge *a); /** Check whether a group element is valid (i.e., on the curve). */ -static int secp256k1_ge_is_valid_var(const secp256k1_ge_t *a); +static int secp256k1_ge_is_valid_var(const secp256k1_ge *a); -static void secp256k1_ge_neg(secp256k1_ge_t *r, const secp256k1_ge_t *a); +static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a); /** Set a group element equal to another which is given in jacobian coordinates */ -static void secp256k1_ge_set_gej(secp256k1_ge_t *r, secp256k1_gej_t *a); +static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a); /** Set a batch of group elements equal to the inputs given in jacobian coordinates */ -static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge_t *r, const secp256k1_gej_t *a); +static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_callback *cb); +/** Set a batch of group elements equal to the inputs given in jacobian + * coordinates (with known z-ratios). zr must contain the known z-ratios such + * that mul(a[i].z, zr[i+1]) == a[i+1].z. zr[0] is ignored. */ +static void secp256k1_ge_set_table_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zr); -/** Set a group element (jacobian) equal to the point at infinity. */ -static void secp256k1_gej_set_infinity(secp256k1_gej_t *r); +/** Bring a batch inputs given in jacobian coordinates (with known z-ratios) to + * the same global z "denominator". zr must contain the known z-ratios such + * that mul(a[i].z, zr[i+1]) == a[i+1].z. zr[0] is ignored. The x and y + * coordinates of the result are stored in r, the common z coordinate is + * stored in globalz. */ +static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr); -/** Set a group element (jacobian) equal to the point with given X and Y coordinates. */ -static void secp256k1_gej_set_xy(secp256k1_gej_t *r, const secp256k1_fe_t *x, const secp256k1_fe_t *y); +/** Set a group element (jacobian) equal to the point at infinity. */ +static void secp256k1_gej_set_infinity(secp256k1_gej *r); /** Set a group element (jacobian) equal to another which is given in affine coordinates. */ -static void secp256k1_gej_set_ge(secp256k1_gej_t *r, const secp256k1_ge_t *a); +static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a); /** Compare the X coordinate of a group element (jacobian). */ -static int secp256k1_gej_eq_x_var(const secp256k1_fe_t *x, const secp256k1_gej_t *a); +static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a); /** Set r equal to the inverse of a (i.e., mirrored around the X axis) */ -static void secp256k1_gej_neg(secp256k1_gej_t *r, const secp256k1_gej_t *a); +static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a); /** Check whether a group element is the point at infinity. */ -static int secp256k1_gej_is_infinity(const secp256k1_gej_t *a); +static int secp256k1_gej_is_infinity(const secp256k1_gej *a); -/** Set r equal to the double of a. */ -static void secp256k1_gej_double_var(secp256k1_gej_t *r, const secp256k1_gej_t *a); +/** Set r equal to the double of a. If rzr is not-NULL, r->z = a->z * *rzr (where infinity means an implicit z = 0). + * a may not be zero. Constant time. */ +static void secp256k1_gej_double_nonzero(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr); -/** Set r equal to the sum of a and b. */ -static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_gej_t *b); +/** Set r equal to the double of a. If rzr is not-NULL, r->z = a->z * *rzr (where infinity means an implicit z = 0). */ +static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr); + +/** Set r equal to the sum of a and b. If rzr is non-NULL, r->z = a->z * *rzr (a cannot be infinity in that case). */ +static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr); /** Set r equal to the sum of a and b (with b given in affine coordinates, and not infinity). */ -static void secp256k1_gej_add_ge(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_ge_t *b); +static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b); /** Set r equal to the sum of a and b (with b given in affine coordinates). This is more efficient than secp256k1_gej_add_var. It is identical to secp256k1_gej_add_ge but without constant-time - guarantee, and b is allowed to be infinity. */ -static void secp256k1_gej_add_ge_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_ge_t *b); + guarantee, and b is allowed to be infinity. If rzr is non-NULL, r->z = a->z * *rzr (a cannot be infinity in that case). */ +static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, secp256k1_fe *rzr); + +/** Set r equal to the sum of a and b (with the inverse of b's Z coordinate passed as bzinv). */ +static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv); #ifdef USE_ENDOMORPHISM /** Set r to be equal to lambda times a, where lambda is chosen in a way such that this is very fast. */ -static void secp256k1_gej_mul_lambda(secp256k1_gej_t *r, const secp256k1_gej_t *a); +static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a); #endif -/** Clear a secp256k1_gej_t to prevent leaking sensitive information. */ -static void secp256k1_gej_clear(secp256k1_gej_t *r); +/** Clear a secp256k1_gej to prevent leaking sensitive information. */ +static void secp256k1_gej_clear(secp256k1_gej *r); -/** Clear a secp256k1_ge_t to prevent leaking sensitive information. */ -static void secp256k1_ge_clear(secp256k1_ge_t *r); +/** Clear a secp256k1_ge to prevent leaking sensitive information. */ +static void secp256k1_ge_clear(secp256k1_ge *r); /** Convert a group element to the storage type. */ -static void secp256k1_ge_to_storage(secp256k1_ge_storage_t *r, const secp256k1_ge_t*); +static void secp256k1_ge_to_storage(secp256k1_ge_storage *r, const secp256k1_ge *a); /** Convert a group element back from the storage type. */ -static void secp256k1_ge_from_storage(secp256k1_ge_t *r, const secp256k1_ge_storage_t*); +static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storage *a); /** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. */ -static void secp256k1_ge_storage_cmov(secp256k1_ge_storage_t *r, const secp256k1_ge_storage_t *a, int flag); +static void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag); /** Rescale a jacobian point by b which must be non-zero. Constant-time. */ -static void secp256k1_gej_rescale(secp256k1_gej_t *r, const secp256k1_fe_t *b); +static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *b); #endif diff --git a/src/group_impl.h b/src/group_impl.h index 0f64576fbb..42e2f6e6eb 100644 --- a/src/group_impl.h +++ b/src/group_impl.h @@ -16,35 +16,41 @@ /** Generator for secp256k1, value 'g' defined in * "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ -static const secp256k1_ge_t secp256k1_ge_const_g = SECP256K1_GE_CONST( +static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL, 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL, 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL, 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL ); -static void secp256k1_ge_set_infinity(secp256k1_ge_t *r) { - r->infinity = 1; +static void secp256k1_ge_set_gej_zinv(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zi) { + secp256k1_fe zi2; + secp256k1_fe zi3; + secp256k1_fe_sqr(&zi2, zi); + secp256k1_fe_mul(&zi3, &zi2, zi); + secp256k1_fe_mul(&r->x, &a->x, &zi2); + secp256k1_fe_mul(&r->y, &a->y, &zi3); + r->infinity = a->infinity; } -static void secp256k1_ge_set_xy(secp256k1_ge_t *r, const secp256k1_fe_t *x, const secp256k1_fe_t *y) { +static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y) { r->infinity = 0; r->x = *x; r->y = *y; } -static int secp256k1_ge_is_infinity(const secp256k1_ge_t *a) { +static int secp256k1_ge_is_infinity(const secp256k1_ge *a) { return a->infinity; } -static void secp256k1_ge_neg(secp256k1_ge_t *r, const secp256k1_ge_t *a) { +static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a) { *r = *a; secp256k1_fe_normalize_weak(&r->y); secp256k1_fe_negate(&r->y, &r->y, 1); } -static void secp256k1_ge_set_gej(secp256k1_ge_t *r, secp256k1_gej_t *a) { - secp256k1_fe_t z2, z3; +static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a) { + secp256k1_fe z2, z3; r->infinity = a->infinity; secp256k1_fe_inv(&a->z, &a->z); secp256k1_fe_sqr(&z2, &a->z); @@ -56,8 +62,8 @@ static void secp256k1_ge_set_gej(secp256k1_ge_t *r, secp256k1_gej_t *a) { r->y = a->y; } -static void secp256k1_ge_set_gej_var(secp256k1_ge_t *r, secp256k1_gej_t *a) { - secp256k1_fe_t z2, z3; +static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) { + secp256k1_fe z2, z3; r->infinity = a->infinity; if (a->infinity) { return; @@ -72,19 +78,19 @@ static void secp256k1_ge_set_gej_var(secp256k1_ge_t *r, secp256k1_gej_t *a) { r->y = a->y; } -static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge_t *r, const secp256k1_gej_t *a) { - secp256k1_fe_t *az; - secp256k1_fe_t *azi; +static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_callback *cb) { + secp256k1_fe *az; + secp256k1_fe *azi; size_t i; size_t count = 0; - az = (secp256k1_fe_t *)checked_malloc(sizeof(secp256k1_fe_t) * len); + az = (secp256k1_fe *)checked_malloc(cb, sizeof(secp256k1_fe) * len); for (i = 0; i < len; i++) { if (!a[i].infinity) { az[count++] = a[i].z; } } - azi = (secp256k1_fe_t *)checked_malloc(sizeof(secp256k1_fe_t) * count); + azi = (secp256k1_fe *)checked_malloc(cb, sizeof(secp256k1_fe) * count); secp256k1_fe_inv_all_var(count, azi, az); free(az); @@ -92,53 +98,86 @@ static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge_t *r, const se for (i = 0; i < len; i++) { r[i].infinity = a[i].infinity; if (!a[i].infinity) { - secp256k1_fe_t zi2, zi3; - secp256k1_fe_t *zi = &azi[count++]; - secp256k1_fe_sqr(&zi2, zi); - secp256k1_fe_mul(&zi3, &zi2, zi); - secp256k1_fe_mul(&r[i].x, &a[i].x, &zi2); - secp256k1_fe_mul(&r[i].y, &a[i].y, &zi3); + secp256k1_ge_set_gej_zinv(&r[i], &a[i], &azi[count++]); } } free(azi); } -static void secp256k1_gej_set_infinity(secp256k1_gej_t *r) { +static void secp256k1_ge_set_table_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zr) { + size_t i = len - 1; + secp256k1_fe zi; + + if (len > 0) { + /* Compute the inverse of the last z coordinate, and use it to compute the last affine output. */ + secp256k1_fe_inv(&zi, &a[i].z); + secp256k1_ge_set_gej_zinv(&r[i], &a[i], &zi); + + /* Work out way backwards, using the z-ratios to scale the x/y values. */ + while (i > 0) { + secp256k1_fe_mul(&zi, &zi, &zr[i]); + i--; + secp256k1_ge_set_gej_zinv(&r[i], &a[i], &zi); + } + } +} + +static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr) { + size_t i = len - 1; + secp256k1_fe zs; + + if (len > 0) { + /* The z of the final point gives us the "global Z" for the table. */ + r[i].x = a[i].x; + r[i].y = a[i].y; + *globalz = a[i].z; + r[i].infinity = 0; + zs = zr[i]; + + /* Work our way backwards, using the z-ratios to scale the x/y values. */ + while (i > 0) { + if (i != len - 1) { + secp256k1_fe_mul(&zs, &zs, &zr[i]); + } + i--; + secp256k1_ge_set_gej_zinv(&r[i], &a[i], &zs); + } + } +} + +static void secp256k1_gej_set_infinity(secp256k1_gej *r) { r->infinity = 1; secp256k1_fe_set_int(&r->x, 0); secp256k1_fe_set_int(&r->y, 0); secp256k1_fe_set_int(&r->z, 0); } -static void secp256k1_gej_set_xy(secp256k1_gej_t *r, const secp256k1_fe_t *x, const secp256k1_fe_t *y) { - r->infinity = 0; - r->x = *x; - r->y = *y; - secp256k1_fe_set_int(&r->z, 1); -} - -static void secp256k1_gej_clear(secp256k1_gej_t *r) { +static void secp256k1_gej_clear(secp256k1_gej *r) { r->infinity = 0; secp256k1_fe_clear(&r->x); secp256k1_fe_clear(&r->y); secp256k1_fe_clear(&r->z); } -static void secp256k1_ge_clear(secp256k1_ge_t *r) { +static void secp256k1_ge_clear(secp256k1_ge *r) { r->infinity = 0; secp256k1_fe_clear(&r->x); secp256k1_fe_clear(&r->y); } -static int secp256k1_ge_set_xo_var(secp256k1_ge_t *r, const secp256k1_fe_t *x, int odd) { - secp256k1_fe_t x2, x3, c; +static int secp256k1_ge_set_xquad_var(secp256k1_ge *r, const secp256k1_fe *x) { + secp256k1_fe x2, x3, c; r->x = *x; secp256k1_fe_sqr(&x2, x); secp256k1_fe_mul(&x3, x, &x2); r->infinity = 0; secp256k1_fe_set_int(&c, 7); secp256k1_fe_add(&c, &x3); - if (!secp256k1_fe_sqrt_var(&r->y, &c)) { + return secp256k1_fe_sqrt_var(&r->y, &c); +} + +static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) { + if (!secp256k1_ge_set_xquad_var(r, x)) { return 0; } secp256k1_fe_normalize_var(&r->y); @@ -146,24 +185,25 @@ static int secp256k1_ge_set_xo_var(secp256k1_ge_t *r, const secp256k1_fe_t *x, i secp256k1_fe_negate(&r->y, &r->y, 1); } return 1; + } -static void secp256k1_gej_set_ge(secp256k1_gej_t *r, const secp256k1_ge_t *a) { +static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a) { r->infinity = a->infinity; r->x = a->x; r->y = a->y; secp256k1_fe_set_int(&r->z, 1); } -static int secp256k1_gej_eq_x_var(const secp256k1_fe_t *x, const secp256k1_gej_t *a) { - secp256k1_fe_t r, r2; +static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a) { + secp256k1_fe r, r2; VERIFY_CHECK(!a->infinity); secp256k1_fe_sqr(&r, &a->z); secp256k1_fe_mul(&r, &r, x); r2 = a->x; secp256k1_fe_normalize_weak(&r2); return secp256k1_fe_equal_var(&r, &r2); } -static void secp256k1_gej_neg(secp256k1_gej_t *r, const secp256k1_gej_t *a) { +static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a) { r->infinity = a->infinity; r->x = a->x; r->y = a->y; @@ -172,12 +212,12 @@ static void secp256k1_gej_neg(secp256k1_gej_t *r, const secp256k1_gej_t *a) { secp256k1_fe_negate(&r->y, &r->y, 1); } -static int secp256k1_gej_is_infinity(const secp256k1_gej_t *a) { +static int secp256k1_gej_is_infinity(const secp256k1_gej *a) { return a->infinity; } -static int secp256k1_gej_is_valid_var(const secp256k1_gej_t *a) { - secp256k1_fe_t y2, x3, z2, z6; +static int secp256k1_gej_is_valid_var(const secp256k1_gej *a) { + secp256k1_fe y2, x3, z2, z6; if (a->infinity) { return 0; } @@ -196,8 +236,8 @@ static int secp256k1_gej_is_valid_var(const secp256k1_gej_t *a) { return secp256k1_fe_equal_var(&y2, &x3); } -static int secp256k1_ge_is_valid_var(const secp256k1_ge_t *a) { - secp256k1_fe_t y2, x3, c; +static int secp256k1_ge_is_valid_var(const secp256k1_ge *a) { + secp256k1_fe y2, x3, c; if (a->infinity) { return 0; } @@ -210,18 +250,27 @@ static int secp256k1_ge_is_valid_var(const secp256k1_ge_t *a) { return secp256k1_fe_equal_var(&y2, &x3); } -static void secp256k1_gej_double_var(secp256k1_gej_t *r, const secp256k1_gej_t *a) { +static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr) { /* Operations: 3 mul, 4 sqr, 0 normalize, 12 mul_int/add/negate */ - secp256k1_fe_t t1,t2,t3,t4; + secp256k1_fe t1,t2,t3,t4; /** For secp256k1, 2Q is infinity if and only if Q is infinity. This is because if 2Q = infinity, * Q must equal -Q, or that Q.y == -(Q.y), or Q.y is 0. For a point on y^2 = x^3 + 7 to have * y=0, x^3 must be -7 mod p. However, -7 has no cube root mod p. */ r->infinity = a->infinity; if (r->infinity) { + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 1); + } return; } + if (rzr != NULL) { + *rzr = a->y; + secp256k1_fe_normalize_weak(rzr); + secp256k1_fe_mul_int(rzr, 2); + } + secp256k1_fe_mul(&r->z, &a->z, &a->y); secp256k1_fe_mul_int(&r->z, 2); /* Z' = 2*Y*Z (2) */ secp256k1_fe_sqr(&t1, &a->x); @@ -244,17 +293,29 @@ static void secp256k1_gej_double_var(secp256k1_gej_t *r, const secp256k1_gej_t * secp256k1_fe_add(&r->y, &t2); /* Y' = 36*X^3*Y^2 - 27*X^6 - 8*Y^4 (4) */ } -static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_gej_t *b) { +static SECP256K1_INLINE void secp256k1_gej_double_nonzero(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr) { + VERIFY_CHECK(!secp256k1_gej_is_infinity(a)); + secp256k1_gej_double_var(r, a, rzr); +} + +static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr) { /* Operations: 12 mul, 4 sqr, 2 normalize, 12 mul_int/add/negate */ - secp256k1_fe_t z22, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + secp256k1_fe z22, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + if (a->infinity) { + VERIFY_CHECK(rzr == NULL); *r = *b; return; } + if (b->infinity) { + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 1); + } *r = *a; return; } + r->infinity = 0; secp256k1_fe_sqr(&z22, &b->z); secp256k1_fe_sqr(&z12, &a->z); @@ -266,8 +327,11 @@ static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2); if (secp256k1_fe_normalizes_to_zero_var(&h)) { if (secp256k1_fe_normalizes_to_zero_var(&i)) { - secp256k1_gej_double_var(r, a); + secp256k1_gej_double_var(r, a, rzr); } else { + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 0); + } r->infinity = 1; } return; @@ -275,7 +339,11 @@ static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, secp256k1_fe_sqr(&i2, &i); secp256k1_fe_sqr(&h2, &h); secp256k1_fe_mul(&h3, &h, &h2); - secp256k1_fe_mul(&r->z, &a->z, &b->z); secp256k1_fe_mul(&r->z, &r->z, &h); + secp256k1_fe_mul(&h, &h, &b->z); + if (rzr != NULL) { + *rzr = h; + } + secp256k1_fe_mul(&r->z, &a->z, &h); secp256k1_fe_mul(&t, &u1, &h2); r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2); secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i); @@ -283,21 +351,23 @@ static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, secp256k1_fe_add(&r->y, &h3); } -static void secp256k1_gej_add_ge_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_ge_t *b) { +static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, secp256k1_fe *rzr) { /* 8 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */ - secp256k1_fe_t z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + secp256k1_fe z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; if (a->infinity) { - r->infinity = b->infinity; - r->x = b->x; - r->y = b->y; - secp256k1_fe_set_int(&r->z, 1); + VERIFY_CHECK(rzr == NULL); + secp256k1_gej_set_ge(r, b); return; } if (b->infinity) { + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 1); + } *r = *a; return; } r->infinity = 0; + secp256k1_fe_sqr(&z12, &a->z); u1 = a->x; secp256k1_fe_normalize_weak(&u1); secp256k1_fe_mul(&u2, &b->x, &z12); @@ -307,7 +377,69 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej_t *r, const secp256k1_gej_t * secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2); if (secp256k1_fe_normalizes_to_zero_var(&h)) { if (secp256k1_fe_normalizes_to_zero_var(&i)) { - secp256k1_gej_double_var(r, a); + secp256k1_gej_double_var(r, a, rzr); + } else { + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 0); + } + r->infinity = 1; + } + return; + } + secp256k1_fe_sqr(&i2, &i); + secp256k1_fe_sqr(&h2, &h); + secp256k1_fe_mul(&h3, &h, &h2); + if (rzr != NULL) { + *rzr = h; + } + secp256k1_fe_mul(&r->z, &a->z, &h); + secp256k1_fe_mul(&t, &u1, &h2); + r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2); + secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i); + secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1); + secp256k1_fe_add(&r->y, &h3); +} + +static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv) { + /* 9 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */ + secp256k1_fe az, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + + if (b->infinity) { + *r = *a; + return; + } + if (a->infinity) { + secp256k1_fe bzinv2, bzinv3; + r->infinity = b->infinity; + secp256k1_fe_sqr(&bzinv2, bzinv); + secp256k1_fe_mul(&bzinv3, &bzinv2, bzinv); + secp256k1_fe_mul(&r->x, &b->x, &bzinv2); + secp256k1_fe_mul(&r->y, &b->y, &bzinv3); + secp256k1_fe_set_int(&r->z, 1); + return; + } + r->infinity = 0; + + /** We need to calculate (rx,ry,rz) = (ax,ay,az) + (bx,by,1/bzinv). Due to + * secp256k1's isomorphism we can multiply the Z coordinates on both sides + * by bzinv, and get: (rx,ry,rz*bzinv) = (ax,ay,az*bzinv) + (bx,by,1). + * This means that (rx,ry,rz) can be calculated as + * (ax,ay,az*bzinv) + (bx,by,1), when not applying the bzinv factor to rz. + * The variable az below holds the modified Z coordinate for a, which is used + * for the computation of rx and ry, but not for rz. + */ + secp256k1_fe_mul(&az, &a->z, bzinv); + + secp256k1_fe_sqr(&z12, &az); + u1 = a->x; secp256k1_fe_normalize_weak(&u1); + secp256k1_fe_mul(&u2, &b->x, &z12); + s1 = a->y; secp256k1_fe_normalize_weak(&s1); + secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &az); + secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2); + secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2); + if (secp256k1_fe_normalizes_to_zero_var(&h)) { + if (secp256k1_fe_normalizes_to_zero_var(&i)) { + secp256k1_gej_double_var(r, a, NULL); } else { r->infinity = 1; } @@ -324,11 +456,13 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej_t *r, const secp256k1_gej_t * secp256k1_fe_add(&r->y, &h3); } -static void secp256k1_gej_add_ge(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_ge_t *b) { - /* Operations: 7 mul, 5 sqr, 5 normalize, 17 mul_int/add/negate/cmov */ - static const secp256k1_fe_t fe_1 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); - secp256k1_fe_t zz, u1, u2, s1, s2, z, t, m, n, q, rr; - int infinity; + +static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b) { + /* Operations: 7 mul, 5 sqr, 4 normalize, 21 mul_int/add/negate/cmov */ + static const secp256k1_fe fe_1 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); + secp256k1_fe zz, u1, u2, s1, s2, t, tt, m, n, q, rr; + secp256k1_fe m_alt, rr_alt; + int infinity, degenerate; VERIFY_CHECK(!b->infinity); VERIFY_CHECK(a->infinity == 0 || a->infinity == 1); @@ -352,53 +486,102 @@ static void secp256k1_gej_add_ge(secp256k1_gej_t *r, const secp256k1_gej_t *a, c * Y3 = 4*(R*(3*Q-2*R^2)-M^4) * Z3 = 2*M*Z * (Note that the paper uses xi = Xi / Zi and yi = Yi / Zi instead.) + * + * This formula has the benefit of being the same for both addition + * of distinct points and doubling. However, it breaks down in the + * case that either point is infinity, or that y1 = -y2. We handle + * these cases in the following ways: + * + * - If b is infinity we simply bail by means of a VERIFY_CHECK. + * + * - If a is infinity, we detect this, and at the end of the + * computation replace the result (which will be meaningless, + * but we compute to be constant-time) with b.x : b.y : 1. + * + * - If a = -b, we have y1 = -y2, which is a degenerate case. + * But here the answer is infinity, so we simply set the + * infinity flag of the result, overriding the computed values + * without even needing to cmov. + * + * - If y1 = -y2 but x1 != x2, which does occur thanks to certain + * properties of our curve (specifically, 1 has nontrivial cube + * roots in our field, and the curve equation has no x coefficient) + * then the answer is not infinity but also not given by the above + * equation. In this case, we cmov in place an alternate expression + * for lambda. Specifically (y1 - y2)/(x1 - x2). Where both these + * expressions for lambda are defined, they are equal, and can be + * obtained from each other by multiplication by (y1 + y2)/(y1 + y2) + * then substitution of x^3 + 7 for y^2 (using the curve equation). + * For all pairs of nonzero points (a, b) at least one is defined, + * so this covers everything. */ secp256k1_fe_sqr(&zz, &a->z); /* z = Z1^2 */ u1 = a->x; secp256k1_fe_normalize_weak(&u1); /* u1 = U1 = X1*Z2^2 (1) */ secp256k1_fe_mul(&u2, &b->x, &zz); /* u2 = U2 = X2*Z1^2 (1) */ s1 = a->y; secp256k1_fe_normalize_weak(&s1); /* s1 = S1 = Y1*Z2^3 (1) */ - secp256k1_fe_mul(&s2, &b->y, &zz); /* s2 = Y2*Z2^2 (1) */ + secp256k1_fe_mul(&s2, &b->y, &zz); /* s2 = Y2*Z1^2 (1) */ secp256k1_fe_mul(&s2, &s2, &a->z); /* s2 = S2 = Y2*Z1^3 (1) */ - z = a->z; /* z = Z = Z1*Z2 (8) */ t = u1; secp256k1_fe_add(&t, &u2); /* t = T = U1+U2 (2) */ m = s1; secp256k1_fe_add(&m, &s2); /* m = M = S1+S2 (2) */ - secp256k1_fe_sqr(&n, &m); /* n = M^2 (1) */ - secp256k1_fe_mul(&q, &n, &t); /* q = Q = T*M^2 (1) */ - secp256k1_fe_sqr(&n, &n); /* n = M^4 (1) */ secp256k1_fe_sqr(&rr, &t); /* rr = T^2 (1) */ - secp256k1_fe_mul(&t, &u1, &u2); secp256k1_fe_negate(&t, &t, 1); /* t = -U1*U2 (2) */ - secp256k1_fe_add(&rr, &t); /* rr = R = T^2-U1*U2 (3) */ - secp256k1_fe_sqr(&t, &rr); /* t = R^2 (1) */ - secp256k1_fe_mul(&r->z, &m, &z); /* r->z = M*Z (1) */ + secp256k1_fe_negate(&m_alt, &u2, 1); /* Malt = -X2*Z1^2 */ + secp256k1_fe_mul(&tt, &u1, &m_alt); /* tt = -U1*U2 (2) */ + secp256k1_fe_add(&rr, &tt); /* rr = R = T^2-U1*U2 (3) */ + /** If lambda = R/M = 0/0 we have a problem (except in the "trivial" + * case that Z = z1z2 = 0, and this is special-cased later on). */ + degenerate = secp256k1_fe_normalizes_to_zero(&m) & + secp256k1_fe_normalizes_to_zero(&rr); + /* This only occurs when y1 == -y2 and x1^3 == x2^3, but x1 != x2. + * This means either x1 == beta*x2 or beta*x1 == x2, where beta is + * a nontrivial cube root of one. In either case, an alternate + * non-indeterminate expression for lambda is (y1 - y2)/(x1 - x2), + * so we set R/M equal to this. */ + rr_alt = s1; + secp256k1_fe_mul_int(&rr_alt, 2); /* rr = Y1*Z2^3 - Y2*Z1^3 (2) */ + secp256k1_fe_add(&m_alt, &u1); /* Malt = X1*Z2^2 - X2*Z1^2 */ + + secp256k1_fe_cmov(&rr_alt, &rr, !degenerate); + secp256k1_fe_cmov(&m_alt, &m, !degenerate); + /* Now Ralt / Malt = lambda and is guaranteed not to be 0/0. + * From here on out Ralt and Malt represent the numerator + * and denominator of lambda; R and M represent the explicit + * expressions x1^2 + x2^2 + x1x2 and y1 + y2. */ + secp256k1_fe_sqr(&n, &m_alt); /* n = Malt^2 (1) */ + secp256k1_fe_mul(&q, &n, &t); /* q = Q = T*Malt^2 (1) */ + /* These two lines use the observation that either M == Malt or M == 0, + * so M^3 * Malt is either Malt^4 (which is computed by squaring), or + * zero (which is "computed" by cmov). So the cost is one squaring + * versus two multiplications. */ + secp256k1_fe_sqr(&n, &n); + secp256k1_fe_cmov(&n, &m, degenerate); /* n = M^3 * Malt (2) */ + secp256k1_fe_sqr(&t, &rr_alt); /* t = Ralt^2 (1) */ + secp256k1_fe_mul(&r->z, &a->z, &m_alt); /* r->z = Malt*Z (1) */ infinity = secp256k1_fe_normalizes_to_zero(&r->z) * (1 - a->infinity); - secp256k1_fe_mul_int(&r->z, 2 * (1 - a->infinity)); /* r->z = Z3 = 2*M*Z (2) */ - r->x = t; /* r->x = R^2 (1) */ + secp256k1_fe_mul_int(&r->z, 2); /* r->z = Z3 = 2*Malt*Z (2) */ secp256k1_fe_negate(&q, &q, 1); /* q = -Q (2) */ - secp256k1_fe_add(&r->x, &q); /* r->x = R^2-Q (3) */ - secp256k1_fe_normalize(&r->x); - secp256k1_fe_mul_int(&q, 3); /* q = -3*Q (6) */ - secp256k1_fe_mul_int(&t, 2); /* t = 2*R^2 (2) */ - secp256k1_fe_add(&t, &q); /* t = 2*R^2-3*Q (8) */ - secp256k1_fe_mul(&t, &t, &rr); /* t = R*(2*R^2-3*Q) (1) */ - secp256k1_fe_add(&t, &n); /* t = R*(2*R^2-3*Q)+M^4 (2) */ - secp256k1_fe_negate(&r->y, &t, 2); /* r->y = R*(3*Q-2*R^2)-M^4 (3) */ + secp256k1_fe_add(&t, &q); /* t = Ralt^2-Q (3) */ + secp256k1_fe_normalize_weak(&t); + r->x = t; /* r->x = Ralt^2-Q (1) */ + secp256k1_fe_mul_int(&t, 2); /* t = 2*x3 (2) */ + secp256k1_fe_add(&t, &q); /* t = 2*x3 - Q: (4) */ + secp256k1_fe_mul(&t, &t, &rr_alt); /* t = Ralt*(2*x3 - Q) (1) */ + secp256k1_fe_add(&t, &n); /* t = Ralt*(2*x3 - Q) + M^3*Malt (3) */ + secp256k1_fe_negate(&r->y, &t, 3); /* r->y = Ralt*(Q - 2x3) - M^3*Malt (4) */ secp256k1_fe_normalize_weak(&r->y); - secp256k1_fe_mul_int(&r->x, 4 * (1 - a->infinity)); /* r->x = X3 = 4*(R^2-Q) */ - secp256k1_fe_mul_int(&r->y, 4 * (1 - a->infinity)); /* r->y = Y3 = 4*R*(3*Q-2*R^2)-4*M^4 (4) */ + secp256k1_fe_mul_int(&r->x, 4); /* r->x = X3 = 4*(Ralt^2-Q) */ + secp256k1_fe_mul_int(&r->y, 4); /* r->y = Y3 = 4*Ralt*(Q - 2x3) - 4*M^3*Malt (4) */ - /** In case a->infinity == 1, the above code results in r->x, r->y, and r->z all equal to 0. - * Replace r with b->x, b->y, 1 in that case. - */ + /** In case a->infinity == 1, replace r with (b->x, b->y, 1). */ secp256k1_fe_cmov(&r->x, &b->x, a->infinity); secp256k1_fe_cmov(&r->y, &b->y, a->infinity); secp256k1_fe_cmov(&r->z, &fe_1, a->infinity); r->infinity = infinity; } -static void secp256k1_gej_rescale(secp256k1_gej_t *r, const secp256k1_fe_t *s) { +static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *s) { /* Operations: 4 mul, 1 sqr */ - secp256k1_fe_t zz; + secp256k1_fe zz; VERIFY_CHECK(!secp256k1_fe_is_zero(s)); secp256k1_fe_sqr(&zz, s); secp256k1_fe_mul(&r->x, &r->x, &zz); /* r->x *= s^2 */ @@ -407,8 +590,8 @@ static void secp256k1_gej_rescale(secp256k1_gej_t *r, const secp256k1_fe_t *s) { secp256k1_fe_mul(&r->z, &r->z, s); /* r->z *= s */ } -static void secp256k1_ge_to_storage(secp256k1_ge_storage_t *r, const secp256k1_ge_t *a) { - secp256k1_fe_t x, y; +static void secp256k1_ge_to_storage(secp256k1_ge_storage *r, const secp256k1_ge *a) { + secp256k1_fe x, y; VERIFY_CHECK(!a->infinity); x = a->x; secp256k1_fe_normalize(&x); @@ -418,20 +601,20 @@ static void secp256k1_ge_to_storage(secp256k1_ge_storage_t *r, const secp256k1_g secp256k1_fe_to_storage(&r->y, &y); } -static void secp256k1_ge_from_storage(secp256k1_ge_t *r, const secp256k1_ge_storage_t *a) { +static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storage *a) { secp256k1_fe_from_storage(&r->x, &a->x); secp256k1_fe_from_storage(&r->y, &a->y); r->infinity = 0; } -static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage_t *r, const secp256k1_ge_storage_t *a, int flag) { +static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag) { secp256k1_fe_storage_cmov(&r->x, &a->x, flag); secp256k1_fe_storage_cmov(&r->y, &a->y, flag); } #ifdef USE_ENDOMORPHISM -static void secp256k1_gej_mul_lambda(secp256k1_gej_t *r, const secp256k1_gej_t *a) { - static const secp256k1_fe_t beta = SECP256K1_FE_CONST( +static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a) { + static const secp256k1_fe beta = SECP256K1_FE_CONST( 0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul, 0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul ); diff --git a/src/hash.h b/src/hash.h index 843423d7f7..0ff01e63fa 100644 --- a/src/hash.h +++ b/src/hash.h @@ -34,7 +34,7 @@ typedef struct { int retry; } secp256k1_rfc6979_hmac_sha256_t; -static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256_t *rng, const unsigned char *key, size_t keylen, const unsigned char *msg, size_t msglen, const unsigned char *rnd, size_t rndlen); +static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256_t *rng, const unsigned char *key, size_t keylen); static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256_t *rng, unsigned char *out, size_t outlen); static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256_t *rng); diff --git a/src/hash_impl.h b/src/hash_impl.h index 9828827bcd..ae55df6d8a 100644 --- a/src/hash_impl.h +++ b/src/hash_impl.h @@ -202,7 +202,7 @@ static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256_t *hash, unsign } -static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256_t *rng, const unsigned char *key, size_t keylen, const unsigned char *msg, size_t msglen, const unsigned char *rnd, size_t rndlen) { +static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256_t *rng, const unsigned char *key, size_t keylen) { secp256k1_hmac_sha256_t hmac; static const unsigned char zero[1] = {0x00}; static const unsigned char one[1] = {0x01}; @@ -215,11 +215,6 @@ static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha2 secp256k1_hmac_sha256_write(&hmac, rng->v, 32); secp256k1_hmac_sha256_write(&hmac, zero, 1); secp256k1_hmac_sha256_write(&hmac, key, keylen); - secp256k1_hmac_sha256_write(&hmac, msg, msglen); - if (rnd && rndlen) { - /* RFC6979 3.6 "Additional data". */ - secp256k1_hmac_sha256_write(&hmac, rnd, rndlen); - } secp256k1_hmac_sha256_finalize(&hmac, rng->k); secp256k1_hmac_sha256_initialize(&hmac, rng->k, 32); secp256k1_hmac_sha256_write(&hmac, rng->v, 32); @@ -230,11 +225,6 @@ static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha2 secp256k1_hmac_sha256_write(&hmac, rng->v, 32); secp256k1_hmac_sha256_write(&hmac, one, 1); secp256k1_hmac_sha256_write(&hmac, key, keylen); - secp256k1_hmac_sha256_write(&hmac, msg, msglen); - if (rnd && rndlen) { - /* RFC6979 3.6 "Additional data". */ - secp256k1_hmac_sha256_write(&hmac, rnd, rndlen); - } secp256k1_hmac_sha256_finalize(&hmac, rng->k); secp256k1_hmac_sha256_initialize(&hmac, rng->k, 32); secp256k1_hmac_sha256_write(&hmac, rng->v, 32); diff --git a/src/modules/ecdh/Makefile.am.include b/src/modules/ecdh/Makefile.am.include new file mode 100644 index 0000000000..670b9c1152 --- /dev/null +++ b/src/modules/ecdh/Makefile.am.include @@ -0,0 +1,8 @@ +include_HEADERS += include/secp256k1_ecdh.h +noinst_HEADERS += src/modules/ecdh/main_impl.h +noinst_HEADERS += src/modules/ecdh/tests_impl.h +if USE_BENCHMARK +noinst_PROGRAMS += bench_ecdh +bench_ecdh_SOURCES = src/bench_ecdh.c +bench_ecdh_LDADD = libsecp256k1.la $(SECP_LIBS) +endif diff --git a/src/modules/ecdh/main_impl.h b/src/modules/ecdh/main_impl.h new file mode 100644 index 0000000000..c23e4f82f7 --- /dev/null +++ b/src/modules/ecdh/main_impl.h @@ -0,0 +1,54 @@ +/********************************************************************** + * Copyright (c) 2015 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef _SECP256K1_MODULE_ECDH_MAIN_ +#define _SECP256K1_MODULE_ECDH_MAIN_ + +#include "include/secp256k1_ecdh.h" +#include "ecmult_const_impl.h" + +int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *result, const secp256k1_pubkey *point, const unsigned char *scalar) { + int ret = 0; + int overflow = 0; + secp256k1_gej res; + secp256k1_ge pt; + secp256k1_scalar s; + ARG_CHECK(result != NULL); + ARG_CHECK(point != NULL); + ARG_CHECK(scalar != NULL); + (void)ctx; + + secp256k1_pubkey_load(ctx, &pt, point); + secp256k1_scalar_set_b32(&s, scalar, &overflow); + if (overflow || secp256k1_scalar_is_zero(&s)) { + ret = 0; + } else { + unsigned char x[32]; + unsigned char y[1]; + secp256k1_sha256_t sha; + + secp256k1_ecmult_const(&res, &pt, &s); + secp256k1_ge_set_gej(&pt, &res); + /* Compute a hash of the point in compressed form + * Note we cannot use secp256k1_eckey_pubkey_serialize here since it does not + * expect its output to be secret and has a timing sidechannel. */ + secp256k1_fe_normalize(&pt.x); + secp256k1_fe_normalize(&pt.y); + secp256k1_fe_get_b32(x, &pt.x); + y[0] = 0x02 | secp256k1_fe_is_odd(&pt.y); + + secp256k1_sha256_initialize(&sha); + secp256k1_sha256_write(&sha, y, sizeof(y)); + secp256k1_sha256_write(&sha, x, sizeof(x)); + secp256k1_sha256_finalize(&sha, result); + ret = 1; + } + + secp256k1_scalar_clear(&s); + return ret; +} + +#endif diff --git a/src/modules/ecdh/tests_impl.h b/src/modules/ecdh/tests_impl.h new file mode 100644 index 0000000000..7badc9033f --- /dev/null +++ b/src/modules/ecdh/tests_impl.h @@ -0,0 +1,75 @@ +/********************************************************************** + * Copyright (c) 2015 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef _SECP256K1_MODULE_ECDH_TESTS_ +#define _SECP256K1_MODULE_ECDH_TESTS_ + +void test_ecdh_generator_basepoint(void) { + unsigned char s_one[32] = { 0 }; + secp256k1_pubkey point[2]; + int i; + + s_one[31] = 1; + /* Check against pubkey creation when the basepoint is the generator */ + for (i = 0; i < 100; ++i) { + secp256k1_sha256_t sha; + unsigned char s_b32[32]; + unsigned char output_ecdh[32]; + unsigned char output_ser[32]; + unsigned char point_ser[33]; + size_t point_ser_len = sizeof(point_ser); + secp256k1_scalar s; + + random_scalar_order(&s); + secp256k1_scalar_get_b32(s_b32, &s); + + /* compute using ECDH function */ + CHECK(secp256k1_ec_pubkey_create(ctx, &point[0], s_one) == 1); + CHECK(secp256k1_ecdh(ctx, output_ecdh, &point[0], s_b32) == 1); + /* compute "explicitly" */ + CHECK(secp256k1_ec_pubkey_create(ctx, &point[1], s_b32) == 1); + CHECK(secp256k1_ec_pubkey_serialize(ctx, point_ser, &point_ser_len, &point[1], SECP256K1_EC_COMPRESSED) == 1); + CHECK(point_ser_len == sizeof(point_ser)); + secp256k1_sha256_initialize(&sha); + secp256k1_sha256_write(&sha, point_ser, point_ser_len); + secp256k1_sha256_finalize(&sha, output_ser); + /* compare */ + CHECK(memcmp(output_ecdh, output_ser, sizeof(output_ser)) == 0); + } +} + +void test_bad_scalar(void) { + unsigned char s_zero[32] = { 0 }; + unsigned char s_overflow[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 + }; + unsigned char s_rand[32] = { 0 }; + unsigned char output[32]; + secp256k1_scalar rand; + secp256k1_pubkey point; + + /* Create random point */ + random_scalar_order(&rand); + secp256k1_scalar_get_b32(s_rand, &rand); + CHECK(secp256k1_ec_pubkey_create(ctx, &point, s_rand) == 1); + + /* Try to multiply it by bad values */ + CHECK(secp256k1_ecdh(ctx, output, &point, s_zero) == 0); + CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow) == 0); + /* ...and a good one */ + s_overflow[31] -= 1; + CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow) == 1); +} + +void run_ecdh_tests(void) { + test_ecdh_generator_basepoint(); + test_bad_scalar(); +} + +#endif diff --git a/src/modules/recovery/Makefile.am.include b/src/modules/recovery/Makefile.am.include new file mode 100644 index 0000000000..5de3ea33ea --- /dev/null +++ b/src/modules/recovery/Makefile.am.include @@ -0,0 +1,8 @@ +include_HEADERS += include/secp256k1_recovery.h +noinst_HEADERS += src/modules/recovery/main_impl.h +noinst_HEADERS += src/modules/recovery/tests_impl.h +if USE_BENCHMARK +noinst_PROGRAMS += bench_recover +bench_recover_SOURCES = src/bench_recover.c +bench_recover_LDADD = libsecp256k1.la $(SECP_LIBS) +endif diff --git a/src/modules/recovery/main_impl.h b/src/modules/recovery/main_impl.h new file mode 100644 index 0000000000..ec42f4bb6c --- /dev/null +++ b/src/modules/recovery/main_impl.h @@ -0,0 +1,193 @@ +/********************************************************************** + * Copyright (c) 2013-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef _SECP256K1_MODULE_RECOVERY_MAIN_ +#define _SECP256K1_MODULE_RECOVERY_MAIN_ + +#include "include/secp256k1_recovery.h" + +static void secp256k1_ecdsa_recoverable_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, int* recid, const secp256k1_ecdsa_recoverable_signature* sig) { + (void)ctx; + if (sizeof(secp256k1_scalar) == 32) { + /* When the secp256k1_scalar type is exactly 32 byte, use its + * representation inside secp256k1_ecdsa_signature, as conversion is very fast. + * Note that secp256k1_ecdsa_signature_save must use the same representation. */ + memcpy(r, &sig->data[0], 32); + memcpy(s, &sig->data[32], 32); + } else { + secp256k1_scalar_set_b32(r, &sig->data[0], NULL); + secp256k1_scalar_set_b32(s, &sig->data[32], NULL); + } + *recid = sig->data[64]; +} + +static void secp256k1_ecdsa_recoverable_signature_save(secp256k1_ecdsa_recoverable_signature* sig, const secp256k1_scalar* r, const secp256k1_scalar* s, int recid) { + if (sizeof(secp256k1_scalar) == 32) { + memcpy(&sig->data[0], r, 32); + memcpy(&sig->data[32], s, 32); + } else { + secp256k1_scalar_get_b32(&sig->data[0], r); + secp256k1_scalar_get_b32(&sig->data[32], s); + } + sig->data[64] = recid; +} + +int secp256k1_ecdsa_recoverable_signature_parse_compact(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature* sig, const unsigned char *input64, int recid) { + secp256k1_scalar r, s; + int ret = 1; + int overflow = 0; + + (void)ctx; + ARG_CHECK(sig != NULL); + ARG_CHECK(input64 != NULL); + ARG_CHECK(recid >= 0 && recid <= 3); + + secp256k1_scalar_set_b32(&r, &input64[0], &overflow); + ret &= !overflow; + secp256k1_scalar_set_b32(&s, &input64[32], &overflow); + ret &= !overflow; + if (ret) { + secp256k1_ecdsa_recoverable_signature_save(sig, &r, &s, recid); + } else { + memset(sig, 0, sizeof(*sig)); + } + return ret; +} + +int secp256k1_ecdsa_recoverable_signature_serialize_compact(const secp256k1_context* ctx, unsigned char *output64, int *recid, const secp256k1_ecdsa_recoverable_signature* sig) { + secp256k1_scalar r, s; + + (void)ctx; + ARG_CHECK(output64 != NULL); + ARG_CHECK(sig != NULL); + ARG_CHECK(recid != NULL); + + secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, recid, sig); + secp256k1_scalar_get_b32(&output64[0], &r); + secp256k1_scalar_get_b32(&output64[32], &s); + return 1; +} + +int secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const secp256k1_ecdsa_recoverable_signature* sigin) { + secp256k1_scalar r, s; + int recid; + + (void)ctx; + ARG_CHECK(sig != NULL); + ARG_CHECK(sigin != NULL); + + secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, sigin); + secp256k1_ecdsa_signature_save(sig, &r, &s); + return 1; +} + +static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) { + unsigned char brx[32]; + secp256k1_fe fx; + secp256k1_ge x; + secp256k1_gej xj; + secp256k1_scalar rn, u1, u2; + secp256k1_gej qj; + int r; + + if (secp256k1_scalar_is_zero(sigr) || secp256k1_scalar_is_zero(sigs)) { + return 0; + } + + secp256k1_scalar_get_b32(brx, sigr); + r = secp256k1_fe_set_b32(&fx, brx); + (void)r; + VERIFY_CHECK(r); /* brx comes from a scalar, so is less than the order; certainly less than p */ + if (recid & 2) { + if (secp256k1_fe_cmp_var(&fx, &secp256k1_ecdsa_const_p_minus_order) >= 0) { + return 0; + } + secp256k1_fe_add(&fx, &secp256k1_ecdsa_const_order_as_fe); + } + if (!secp256k1_ge_set_xo_var(&x, &fx, recid & 1)) { + return 0; + } + secp256k1_gej_set_ge(&xj, &x); + secp256k1_scalar_inverse_var(&rn, sigr); + secp256k1_scalar_mul(&u1, &rn, message); + secp256k1_scalar_negate(&u1, &u1); + secp256k1_scalar_mul(&u2, &rn, sigs); + secp256k1_ecmult(ctx, &qj, &xj, &u2, &u1); + secp256k1_ge_set_gej_var(pubkey, &qj); + return !secp256k1_gej_is_infinity(&qj); +} + +int secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { + secp256k1_scalar r, s; + secp256k1_scalar sec, non, msg; + int recid; + int ret = 0; + int overflow = 0; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(signature != NULL); + ARG_CHECK(seckey != NULL); + if (noncefp == NULL) { + noncefp = secp256k1_nonce_function_default; + } + + secp256k1_scalar_set_b32(&sec, seckey, &overflow); + /* Fail if the secret key is invalid. */ + if (!overflow && !secp256k1_scalar_is_zero(&sec)) { + unsigned int count = 0; + secp256k1_scalar_set_b32(&msg, msg32, NULL); + while (1) { + unsigned char nonce32[32]; + ret = noncefp(nonce32, msg32, seckey, NULL, (void*)noncedata, count); + if (!ret) { + break; + } + secp256k1_scalar_set_b32(&non, nonce32, &overflow); + memset(nonce32, 0, 32); + if (!secp256k1_scalar_is_zero(&non) && !overflow) { + if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &r, &s, &sec, &msg, &non, &recid)) { + break; + } + } + count++; + } + secp256k1_scalar_clear(&msg); + secp256k1_scalar_clear(&non); + secp256k1_scalar_clear(&sec); + } + if (ret) { + secp256k1_ecdsa_recoverable_signature_save(signature, &r, &s, recid); + } else { + memset(signature, 0, sizeof(*signature)); + } + return ret; +} + +int secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msg32) { + secp256k1_ge q; + secp256k1_scalar r, s; + secp256k1_scalar m; + int recid; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(signature != NULL); + ARG_CHECK(pubkey != NULL); + + secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, signature); + ARG_CHECK(recid >= 0 && recid < 4); + secp256k1_scalar_set_b32(&m, msg32, NULL); + if (secp256k1_ecdsa_sig_recover(&ctx->ecmult_ctx, &r, &s, &q, &m, recid)) { + secp256k1_pubkey_save(pubkey, &q); + return 1; + } else { + memset(pubkey, 0, sizeof(*pubkey)); + return 0; + } +} + +#endif diff --git a/src/modules/recovery/tests_impl.h b/src/modules/recovery/tests_impl.h new file mode 100644 index 0000000000..8932d5f0af --- /dev/null +++ b/src/modules/recovery/tests_impl.h @@ -0,0 +1,250 @@ +/********************************************************************** + * Copyright (c) 2013-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef _SECP256K1_MODULE_RECOVERY_TESTS_ +#define _SECP256K1_MODULE_RECOVERY_TESTS_ + +void test_ecdsa_recovery_end_to_end(void) { + unsigned char extra[32] = {0x00}; + unsigned char privkey[32]; + unsigned char message[32]; + secp256k1_ecdsa_signature signature[5]; + secp256k1_ecdsa_recoverable_signature rsignature[5]; + unsigned char sig[74]; + secp256k1_pubkey pubkey; + secp256k1_pubkey recpubkey; + int recid = 0; + + /* 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); + + /* Serialize/parse compact and verify/recover. */ + extra[0] = 0; + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[0], message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign(ctx, &signature[0], message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[4], message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[1], message, privkey, NULL, extra) == 1); + extra[31] = 1; + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[2], message, privkey, NULL, extra) == 1); + extra[31] = 0; + extra[0] = 1; + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[3], message, privkey, NULL, extra) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &rsignature[4]) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1); + CHECK(memcmp(&signature[4], &signature[0], 64) == 0); + CHECK(secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 1); + memset(&rsignature[4], 0, sizeof(rsignature[4])); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 1); + /* Parse compact (with recovery id) and recover. */ + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1); + CHECK(secp256k1_ecdsa_recover(ctx, &recpubkey, &rsignature[4], message) == 1); + CHECK(memcmp(&pubkey, &recpubkey, sizeof(pubkey)) == 0); + /* Serialize/destroy/parse signature and verify again. */ + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &rsignature[4]) == 1); + sig[secp256k1_rand_bits(6)] += 1 + secp256k1_rand_int(255); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 0); + /* Recover again */ + CHECK(secp256k1_ecdsa_recover(ctx, &recpubkey, &rsignature[4], message) == 0 || + memcmp(&pubkey, &recpubkey, sizeof(pubkey)) != 0); +} + +/* Tests several edge cases. */ +void test_ecdsa_recovery_edge_cases(void) { + const unsigned char msg32[32] = { + 'T', 'h', 'i', 's', ' ', 'i', 's', ' ', + 'a', ' ', 'v', 'e', 'r', 'y', ' ', 's', + 'e', 'c', 'r', 'e', 't', ' ', 'm', 'e', + 's', 's', 'a', 'g', 'e', '.', '.', '.' + }; + const unsigned char sig64[64] = { + /* Generated by signing the above message with nonce 'This is the nonce we will use...' + * and secret key 0 (which is not valid), resulting in recid 0. */ + 0x67, 0xCB, 0x28, 0x5F, 0x9C, 0xD1, 0x94, 0xE8, + 0x40, 0xD6, 0x29, 0x39, 0x7A, 0xF5, 0x56, 0x96, + 0x62, 0xFD, 0xE4, 0x46, 0x49, 0x99, 0x59, 0x63, + 0x17, 0x9A, 0x7D, 0xD1, 0x7B, 0xD2, 0x35, 0x32, + 0x4B, 0x1B, 0x7D, 0xF3, 0x4C, 0xE1, 0xF6, 0x8E, + 0x69, 0x4F, 0xF6, 0xF1, 0x1A, 0xC7, 0x51, 0xDD, + 0x7D, 0xD7, 0x3E, 0x38, 0x7E, 0xE4, 0xFC, 0x86, + 0x6E, 0x1B, 0xE8, 0xEC, 0xC7, 0xDD, 0x95, 0x57 + }; + secp256k1_pubkey pubkey; + /* signature (r,s) = (4,4), which can be recovered with all 4 recids. */ + const unsigned char sigb64[64] = { + 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, 0x04, + 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, 0x04, + }; + secp256k1_pubkey pubkeyb; + secp256k1_ecdsa_recoverable_signature rsig; + secp256k1_ecdsa_signature sig; + int recid; + + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 0)); + CHECK(!secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32)); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 1)); + CHECK(secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32)); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 2)); + CHECK(!secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32)); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 3)); + CHECK(!secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32)); + + for (recid = 0; recid < 4; recid++) { + int i; + int recid2; + /* (4,4) encoded in DER. */ + unsigned char sigbder[8] = {0x30, 0x06, 0x02, 0x01, 0x04, 0x02, 0x01, 0x04}; + unsigned char sigcder_zr[7] = {0x30, 0x05, 0x02, 0x00, 0x02, 0x01, 0x01}; + unsigned char sigcder_zs[7] = {0x30, 0x05, 0x02, 0x01, 0x01, 0x02, 0x00}; + unsigned char sigbderalt1[39] = { + 0x30, 0x25, 0x02, 0x20, 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, 0x04, 0x02, 0x01, 0x04, + }; + unsigned char sigbderalt2[39] = { + 0x30, 0x25, 0x02, 0x01, 0x04, 0x02, 0x20, 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, 0x04, + }; + unsigned char sigbderalt3[40] = { + 0x30, 0x26, 0x02, 0x21, 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, 0x04, 0x02, 0x01, 0x04, + }; + unsigned char sigbderalt4[40] = { + 0x30, 0x26, 0x02, 0x01, 0x04, 0x02, 0x21, 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, 0x04, + }; + /* (order + r,4) encoded in DER. */ + unsigned char sigbderlong[40] = { + 0x30, 0x26, 0x02, 0x21, 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, 0x45, 0x02, 0x01, 0x04 + }; + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigb64, recid) == 1); + CHECK(secp256k1_ecdsa_recover(ctx, &pubkeyb, &rsig, msg32) == 1); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 1); + for (recid2 = 0; recid2 < 4; recid2++) { + secp256k1_pubkey pubkey2b; + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigb64, recid2) == 1); + CHECK(secp256k1_ecdsa_recover(ctx, &pubkey2b, &rsig, msg32) == 1); + /* Verifying with (order + r,4) should always fail. */ + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderlong, sizeof(sigbderlong)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + } + /* DER parsing tests. */ + /* Zero length r/s. */ + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder_zr, sizeof(sigcder_zr)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder_zs, sizeof(sigcder_zs)) == 0); + /* Leading zeros. */ + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt1, sizeof(sigbderalt1)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt2, sizeof(sigbderalt2)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt3, sizeof(sigbderalt3)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt4, sizeof(sigbderalt4)) == 0); + sigbderalt3[4] = 1; + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt3, sizeof(sigbderalt3)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + sigbderalt4[7] = 1; + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt4, sizeof(sigbderalt4)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + /* Damage signature. */ + sigbder[7]++; + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + sigbder[7]--; + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, 6) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder) - 1) == 0); + for(i = 0; i < 8; i++) { + int c; + unsigned char orig = sigbder[i]; + /*Try every single-byte change.*/ + for (c = 0; c < 256; c++) { + if (c == orig ) { + continue; + } + sigbder[i] = c; + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 0 || secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + } + sigbder[i] = orig; + } + } + + /* Test r/s equal to zero */ + { + /* (1,1) encoded in DER. */ + unsigned char sigcder[8] = {0x30, 0x06, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01}; + unsigned char sigc64[64] = { + 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, 0x01, + }; + secp256k1_pubkey pubkeyc; + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigc64, 0) == 1); + CHECK(secp256k1_ecdsa_recover(ctx, &pubkeyc, &rsig, msg32) == 1); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder, sizeof(sigcder)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyc) == 1); + sigcder[4] = 0; + sigc64[31] = 0; + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigc64, 0) == 1); + CHECK(secp256k1_ecdsa_recover(ctx, &pubkeyb, &rsig, msg32) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder, sizeof(sigcder)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyc) == 0); + sigcder[4] = 1; + sigcder[7] = 0; + sigc64[31] = 1; + sigc64[63] = 0; + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigc64, 0) == 1); + CHECK(secp256k1_ecdsa_recover(ctx, &pubkeyb, &rsig, msg32) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder, sizeof(sigcder)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyc) == 0); + } +} + +void run_recovery_tests(void) { + int i; + for (i = 0; i < 64*count; i++) { + test_ecdsa_recovery_end_to_end(); + } + test_ecdsa_recovery_edge_cases(); +} + +#endif diff --git a/src/modules/schnorr/Makefile.am.include b/src/modules/schnorr/Makefile.am.include new file mode 100644 index 0000000000..b3bfa7d5cc --- /dev/null +++ b/src/modules/schnorr/Makefile.am.include @@ -0,0 +1,10 @@ +include_HEADERS += include/secp256k1_schnorr.h +noinst_HEADERS += src/modules/schnorr/main_impl.h +noinst_HEADERS += src/modules/schnorr/schnorr.h +noinst_HEADERS += src/modules/schnorr/schnorr_impl.h +noinst_HEADERS += src/modules/schnorr/tests_impl.h +if USE_BENCHMARK +noinst_PROGRAMS += bench_schnorr_verify +bench_schnorr_verify_SOURCES = src/bench_schnorr_verify.c +bench_schnorr_verify_LDADD = libsecp256k1.la $(SECP_LIBS) +endif diff --git a/src/modules/schnorr/main_impl.h b/src/modules/schnorr/main_impl.h new file mode 100644 index 0000000000..fa176a1767 --- /dev/null +++ b/src/modules/schnorr/main_impl.h @@ -0,0 +1,164 @@ +/********************************************************************** + * Copyright (c) 2014-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODULE_SCHNORR_MAIN +#define SECP256K1_MODULE_SCHNORR_MAIN + +#include "include/secp256k1_schnorr.h" +#include "modules/schnorr/schnorr_impl.h" + +static void secp256k1_schnorr_msghash_sha256(unsigned char *h32, const unsigned char *r32, const unsigned char *msg32) { + secp256k1_sha256_t sha; + secp256k1_sha256_initialize(&sha); + secp256k1_sha256_write(&sha, r32, 32); + secp256k1_sha256_write(&sha, msg32, 32); + secp256k1_sha256_finalize(&sha, h32); +} + +static const unsigned char secp256k1_schnorr_algo16[17] = "Schnorr+SHA256 "; + +int secp256k1_schnorr_sign(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { + secp256k1_scalar sec, non; + int ret = 0; + int overflow = 0; + unsigned int count = 0; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(sig64 != NULL); + ARG_CHECK(seckey != NULL); + if (noncefp == NULL) { + noncefp = secp256k1_nonce_function_default; + } + + secp256k1_scalar_set_b32(&sec, seckey, NULL); + while (1) { + unsigned char nonce32[32]; + ret = noncefp(nonce32, msg32, seckey, secp256k1_schnorr_algo16, (void*)noncedata, count); + if (!ret) { + break; + } + secp256k1_scalar_set_b32(&non, nonce32, &overflow); + memset(nonce32, 0, 32); + if (!secp256k1_scalar_is_zero(&non) && !overflow) { + if (secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64, &sec, &non, NULL, secp256k1_schnorr_msghash_sha256, msg32)) { + break; + } + } + count++; + } + if (!ret) { + memset(sig64, 0, 64); + } + secp256k1_scalar_clear(&non); + secp256k1_scalar_clear(&sec); + return ret; +} + +int secp256k1_schnorr_verify(const secp256k1_context* ctx, const unsigned char *sig64, const unsigned char *msg32, const secp256k1_pubkey *pubkey) { + secp256k1_ge q; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(sig64 != NULL); + ARG_CHECK(pubkey != NULL); + + secp256k1_pubkey_load(ctx, &q, pubkey); + return secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64, &q, secp256k1_schnorr_msghash_sha256, msg32); +} + +int secp256k1_schnorr_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *sig64, const unsigned char *msg32) { + secp256k1_ge q; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(sig64 != NULL); + ARG_CHECK(pubkey != NULL); + + if (secp256k1_schnorr_sig_recover(&ctx->ecmult_ctx, sig64, &q, secp256k1_schnorr_msghash_sha256, msg32)) { + secp256k1_pubkey_save(pubkey, &q); + return 1; + } else { + memset(pubkey, 0, sizeof(*pubkey)); + return 0; + } +} + +int secp256k1_schnorr_generate_nonce_pair(const secp256k1_context* ctx, secp256k1_pubkey *pubnonce, unsigned char *privnonce32, const unsigned char *sec32, const unsigned char *msg32, secp256k1_nonce_function noncefp, const void* noncedata) { + int count = 0; + int ret = 1; + secp256k1_gej Qj; + secp256k1_ge Q; + secp256k1_scalar sec; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(sec32 != NULL); + ARG_CHECK(pubnonce != NULL); + ARG_CHECK(privnonce32 != NULL); + + if (noncefp == NULL) { + noncefp = secp256k1_nonce_function_default; + } + + do { + int overflow; + ret = noncefp(privnonce32, sec32, msg32, secp256k1_schnorr_algo16, (void*)noncedata, count++); + if (!ret) { + break; + } + secp256k1_scalar_set_b32(&sec, privnonce32, &overflow); + if (overflow || secp256k1_scalar_is_zero(&sec)) { + continue; + } + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &Qj, &sec); + secp256k1_ge_set_gej(&Q, &Qj); + + secp256k1_pubkey_save(pubnonce, &Q); + break; + } while(1); + + secp256k1_scalar_clear(&sec); + if (!ret) { + memset(pubnonce, 0, sizeof(*pubnonce)); + } + return ret; +} + +int secp256k1_schnorr_partial_sign(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const unsigned char *sec32, const secp256k1_pubkey *pubnonce_others, const unsigned char *secnonce32) { + int overflow = 0; + secp256k1_scalar sec, non; + secp256k1_ge pubnon; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(sig64 != NULL); + ARG_CHECK(sec32 != NULL); + ARG_CHECK(secnonce32 != NULL); + ARG_CHECK(pubnonce_others != NULL); + + secp256k1_scalar_set_b32(&sec, sec32, &overflow); + if (overflow || secp256k1_scalar_is_zero(&sec)) { + return -1; + } + secp256k1_scalar_set_b32(&non, secnonce32, &overflow); + if (overflow || secp256k1_scalar_is_zero(&non)) { + return -1; + } + secp256k1_pubkey_load(ctx, &pubnon, pubnonce_others); + return secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64, &sec, &non, &pubnon, secp256k1_schnorr_msghash_sha256, msg32); +} + +int secp256k1_schnorr_partial_combine(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char * const *sig64sin, size_t n) { + ARG_CHECK(sig64 != NULL); + ARG_CHECK(n >= 1); + ARG_CHECK(sig64sin != NULL); + return secp256k1_schnorr_sig_combine(sig64, n, sig64sin); +} + +#endif diff --git a/src/modules/schnorr/schnorr.h b/src/modules/schnorr/schnorr.h new file mode 100644 index 0000000000..de18147bd5 --- /dev/null +++ b/src/modules/schnorr/schnorr.h @@ -0,0 +1,20 @@ +/*********************************************************************** + * Copyright (c) 2014-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php. * + ***********************************************************************/ + +#ifndef _SECP256K1_MODULE_SCHNORR_H_ +#define _SECP256K1_MODULE_SCHNORR_H_ + +#include "scalar.h" +#include "group.h" + +typedef void (*secp256k1_schnorr_msghash)(unsigned char *h32, const unsigned char *r32, const unsigned char *msg32); + +static int secp256k1_schnorr_sig_sign(const secp256k1_ecmult_gen_context* ctx, unsigned char *sig64, const secp256k1_scalar *key, const secp256k1_scalar *nonce, const secp256k1_ge *pubnonce, secp256k1_schnorr_msghash hash, const unsigned char *msg32); +static int secp256k1_schnorr_sig_verify(const secp256k1_ecmult_context* ctx, const unsigned char *sig64, const secp256k1_ge *pubkey, secp256k1_schnorr_msghash hash, const unsigned char *msg32); +static int secp256k1_schnorr_sig_recover(const secp256k1_ecmult_context* ctx, const unsigned char *sig64, secp256k1_ge *pubkey, secp256k1_schnorr_msghash hash, const unsigned char *msg32); +static int secp256k1_schnorr_sig_combine(unsigned char *sig64, size_t n, const unsigned char * const *sig64ins); + +#endif diff --git a/src/modules/schnorr/schnorr_impl.h b/src/modules/schnorr/schnorr_impl.h new file mode 100644 index 0000000000..e13ab6db7c --- /dev/null +++ b/src/modules/schnorr/schnorr_impl.h @@ -0,0 +1,207 @@ +/*********************************************************************** + * Copyright (c) 2014-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php. * + ***********************************************************************/ + +#ifndef _SECP256K1_SCHNORR_IMPL_H_ +#define _SECP256K1_SCHNORR_IMPL_H_ + +#include <string.h> + +#include "schnorr.h" +#include "num.h" +#include "field.h" +#include "group.h" +#include "ecmult.h" +#include "ecmult_gen.h" + +/** + * Custom Schnorr-based signature scheme. They support multiparty signing, public key + * recovery and batch validation. + * + * Rationale for verifying R's y coordinate: + * In order to support batch validation and public key recovery, the full R point must + * be known to verifiers, rather than just its x coordinate. In order to not risk + * being more strict in batch validation than normal validation, validators must be + * required to reject signatures with incorrect y coordinate. This is only possible + * by including a (relatively slow) field inverse, or a field square root. However, + * batch validation offers potentially much higher benefits than this cost. + * + * Rationale for having an implicit y coordinate oddness: + * If we commit to having the full R point known to verifiers, there are two mechanism. + * Either include its oddness in the signature, or give it an implicit fixed value. + * As the R y coordinate can be flipped by a simple negation of the nonce, we choose the + * latter, as it comes with nearly zero impact on signing or validation performance, and + * saves a byte in the signature. + * + * Signing: + * Inputs: 32-byte message m, 32-byte scalar key x (!=0), 32-byte scalar nonce k (!=0) + * + * Compute point R = k * G. Reject nonce if R's y coordinate is odd (or negate nonce). + * Compute 32-byte r, the serialization of R's x coordinate. + * Compute scalar h = Hash(r || m). Reject nonce if h == 0 or h >= order. + * Compute scalar s = k - h * x. + * The signature is (r, s). + * + * + * Verification: + * Inputs: 32-byte message m, public key point Q, signature: (32-byte r, scalar s) + * + * Signature is invalid if s >= order. + * Signature is invalid if r >= p. + * Compute scalar h = Hash(r || m). Signature is invalid if h == 0 or h >= order. + * Option 1 (faster for single verification): + * Compute point R = h * Q + s * G. Signature is invalid if R is infinity or R's y coordinate is odd. + * Signature is valid if the serialization of R's x coordinate equals r. + * Option 2 (allows batch validation and pubkey recovery): + * Decompress x coordinate r into point R, with odd y coordinate. Fail if R is not on the curve. + * Signature is valid if R + h * Q + s * G == 0. + */ + +static int secp256k1_schnorr_sig_sign(const secp256k1_ecmult_gen_context* ctx, unsigned char *sig64, const secp256k1_scalar *key, const secp256k1_scalar *nonce, const secp256k1_ge *pubnonce, secp256k1_schnorr_msghash hash, const unsigned char *msg32) { + secp256k1_gej Rj; + secp256k1_ge Ra; + unsigned char h32[32]; + secp256k1_scalar h, s; + int overflow; + secp256k1_scalar n; + + if (secp256k1_scalar_is_zero(key) || secp256k1_scalar_is_zero(nonce)) { + return 0; + } + n = *nonce; + + secp256k1_ecmult_gen(ctx, &Rj, &n); + if (pubnonce != NULL) { + secp256k1_gej_add_ge(&Rj, &Rj, pubnonce); + } + secp256k1_ge_set_gej(&Ra, &Rj); + secp256k1_fe_normalize(&Ra.y); + if (secp256k1_fe_is_odd(&Ra.y)) { + /* R's y coordinate is odd, which is not allowed (see rationale above). + Force it to be even by negating the nonce. Note that this even works + for multiparty signing, as the R point is known to all participants, + which can all decide to flip the sign in unison, resulting in the + overall R point to be negated too. */ + secp256k1_scalar_negate(&n, &n); + } + secp256k1_fe_normalize(&Ra.x); + secp256k1_fe_get_b32(sig64, &Ra.x); + hash(h32, sig64, msg32); + overflow = 0; + secp256k1_scalar_set_b32(&h, h32, &overflow); + if (overflow || secp256k1_scalar_is_zero(&h)) { + secp256k1_scalar_clear(&n); + return 0; + } + secp256k1_scalar_mul(&s, &h, key); + secp256k1_scalar_negate(&s, &s); + secp256k1_scalar_add(&s, &s, &n); + secp256k1_scalar_clear(&n); + secp256k1_scalar_get_b32(sig64 + 32, &s); + return 1; +} + +static int secp256k1_schnorr_sig_verify(const secp256k1_ecmult_context* ctx, const unsigned char *sig64, const secp256k1_ge *pubkey, secp256k1_schnorr_msghash hash, const unsigned char *msg32) { + secp256k1_gej Qj, Rj; + secp256k1_ge Ra; + secp256k1_fe Rx; + secp256k1_scalar h, s; + unsigned char hh[32]; + int overflow; + + if (secp256k1_ge_is_infinity(pubkey)) { + return 0; + } + hash(hh, sig64, msg32); + overflow = 0; + secp256k1_scalar_set_b32(&h, hh, &overflow); + if (overflow || secp256k1_scalar_is_zero(&h)) { + return 0; + } + overflow = 0; + secp256k1_scalar_set_b32(&s, sig64 + 32, &overflow); + if (overflow) { + return 0; + } + if (!secp256k1_fe_set_b32(&Rx, sig64)) { + return 0; + } + secp256k1_gej_set_ge(&Qj, pubkey); + secp256k1_ecmult(ctx, &Rj, &Qj, &h, &s); + if (secp256k1_gej_is_infinity(&Rj)) { + return 0; + } + secp256k1_ge_set_gej_var(&Ra, &Rj); + secp256k1_fe_normalize_var(&Ra.y); + if (secp256k1_fe_is_odd(&Ra.y)) { + return 0; + } + return secp256k1_fe_equal_var(&Rx, &Ra.x); +} + +static int secp256k1_schnorr_sig_recover(const secp256k1_ecmult_context* ctx, const unsigned char *sig64, secp256k1_ge *pubkey, secp256k1_schnorr_msghash hash, const unsigned char *msg32) { + secp256k1_gej Qj, Rj; + secp256k1_ge Ra; + secp256k1_fe Rx; + secp256k1_scalar h, s; + unsigned char hh[32]; + int overflow; + + hash(hh, sig64, msg32); + overflow = 0; + secp256k1_scalar_set_b32(&h, hh, &overflow); + if (overflow || secp256k1_scalar_is_zero(&h)) { + return 0; + } + overflow = 0; + secp256k1_scalar_set_b32(&s, sig64 + 32, &overflow); + if (overflow) { + return 0; + } + if (!secp256k1_fe_set_b32(&Rx, sig64)) { + return 0; + } + if (!secp256k1_ge_set_xo_var(&Ra, &Rx, 0)) { + return 0; + } + secp256k1_gej_set_ge(&Rj, &Ra); + secp256k1_scalar_inverse_var(&h, &h); + secp256k1_scalar_negate(&s, &s); + secp256k1_scalar_mul(&s, &s, &h); + secp256k1_ecmult(ctx, &Qj, &Rj, &h, &s); + if (secp256k1_gej_is_infinity(&Qj)) { + return 0; + } + secp256k1_ge_set_gej(pubkey, &Qj); + return 1; +} + +static int secp256k1_schnorr_sig_combine(unsigned char *sig64, size_t n, const unsigned char * const *sig64ins) { + secp256k1_scalar s = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); + size_t i; + for (i = 0; i < n; i++) { + secp256k1_scalar si; + int overflow; + secp256k1_scalar_set_b32(&si, sig64ins[i] + 32, &overflow); + if (overflow) { + return -1; + } + if (i) { + if (memcmp(sig64ins[i - 1], sig64ins[i], 32) != 0) { + return -1; + } + } + secp256k1_scalar_add(&s, &s, &si); + } + if (secp256k1_scalar_is_zero(&s)) { + return 0; + } + memcpy(sig64, sig64ins[0], 32); + secp256k1_scalar_get_b32(sig64 + 32, &s); + secp256k1_scalar_clear(&s); + return 1; +} + +#endif diff --git a/src/modules/schnorr/tests_impl.h b/src/modules/schnorr/tests_impl.h new file mode 100644 index 0000000000..5bd14a03e3 --- /dev/null +++ b/src/modules/schnorr/tests_impl.h @@ -0,0 +1,175 @@ +/********************************************************************** + * Copyright (c) 2014-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODULE_SCHNORR_TESTS +#define SECP256K1_MODULE_SCHNORR_TESTS + +#include "include/secp256k1_schnorr.h" + +void test_schnorr_end_to_end(void) { + unsigned char privkey[32]; + unsigned char message[32]; + unsigned char schnorr_signature[64]; + secp256k1_pubkey pubkey, recpubkey; + + /* Generate a random key and message. */ + { + secp256k1_scalar key; + random_scalar_order_test(&key); + secp256k1_scalar_get_b32(privkey, &key); + secp256k1_rand256_test(message); + } + + /* Construct and verify corresponding public key. */ + CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); + + /* Schnorr sign. */ + CHECK(secp256k1_schnorr_sign(ctx, schnorr_signature, message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_schnorr_verify(ctx, schnorr_signature, message, &pubkey) == 1); + CHECK(secp256k1_schnorr_recover(ctx, &recpubkey, schnorr_signature, message) == 1); + CHECK(memcmp(&pubkey, &recpubkey, sizeof(pubkey)) == 0); + /* Destroy signature and verify again. */ + schnorr_signature[secp256k1_rand_bits(6)] += 1 + secp256k1_rand_int(255); + CHECK(secp256k1_schnorr_verify(ctx, schnorr_signature, message, &pubkey) == 0); + CHECK(secp256k1_schnorr_recover(ctx, &recpubkey, schnorr_signature, message) != 1 || + memcmp(&pubkey, &recpubkey, sizeof(pubkey)) != 0); +} + +/** Horribly broken hash function. Do not use for anything but tests. */ +void test_schnorr_hash(unsigned char *h32, const unsigned char *r32, const unsigned char *msg32) { + int i; + for (i = 0; i < 32; i++) { + h32[i] = r32[i] ^ msg32[i]; + } +} + +void test_schnorr_sign_verify(void) { + unsigned char msg32[32]; + unsigned char sig64[3][64]; + secp256k1_gej pubkeyj[3]; + secp256k1_ge pubkey[3]; + secp256k1_scalar nonce[3], key[3]; + int i = 0; + int k; + + secp256k1_rand256_test(msg32); + + for (k = 0; k < 3; k++) { + random_scalar_order_test(&key[k]); + + do { + random_scalar_order_test(&nonce[k]); + if (secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64[k], &key[k], &nonce[k], NULL, &test_schnorr_hash, msg32)) { + break; + } + } while(1); + + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubkeyj[k], &key[k]); + secp256k1_ge_set_gej_var(&pubkey[k], &pubkeyj[k]); + CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64[k], &pubkey[k], &test_schnorr_hash, msg32)); + + for (i = 0; i < 4; i++) { + int pos = secp256k1_rand_bits(6); + int mod = 1 + secp256k1_rand_int(255); + sig64[k][pos] ^= mod; + CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64[k], &pubkey[k], &test_schnorr_hash, msg32) == 0); + sig64[k][pos] ^= mod; + } + } +} + +void test_schnorr_threshold(void) { + unsigned char msg[32]; + unsigned char sec[5][32]; + secp256k1_pubkey pub[5]; + unsigned char nonce[5][32]; + secp256k1_pubkey pubnonce[5]; + unsigned char sig[5][64]; + const unsigned char* sigs[5]; + unsigned char allsig[64]; + const secp256k1_pubkey* pubs[5]; + secp256k1_pubkey allpub; + int n, i; + int damage; + int ret = 0; + + damage = secp256k1_rand_bits(1) ? (1 + secp256k1_rand_int(4)) : 0; + secp256k1_rand256_test(msg); + n = 2 + secp256k1_rand_int(4); + for (i = 0; i < n; i++) { + do { + secp256k1_rand256_test(sec[i]); + } while (!secp256k1_ec_seckey_verify(ctx, sec[i])); + CHECK(secp256k1_ec_pubkey_create(ctx, &pub[i], sec[i])); + CHECK(secp256k1_schnorr_generate_nonce_pair(ctx, &pubnonce[i], nonce[i], msg, sec[i], NULL, NULL)); + pubs[i] = &pub[i]; + } + if (damage == 1) { + nonce[secp256k1_rand_int(n)][secp256k1_rand_int(32)] ^= 1 + secp256k1_rand_int(255); + } else if (damage == 2) { + sec[secp256k1_rand_int(n)][secp256k1_rand_int(32)] ^= 1 + secp256k1_rand_int(255); + } + for (i = 0; i < n; i++) { + secp256k1_pubkey allpubnonce; + const secp256k1_pubkey *pubnonces[4]; + int j; + for (j = 0; j < i; j++) { + pubnonces[j] = &pubnonce[j]; + } + for (j = i + 1; j < n; j++) { + pubnonces[j - 1] = &pubnonce[j]; + } + CHECK(secp256k1_ec_pubkey_combine(ctx, &allpubnonce, pubnonces, n - 1)); + ret |= (secp256k1_schnorr_partial_sign(ctx, sig[i], msg, sec[i], &allpubnonce, nonce[i]) != 1) * 1; + sigs[i] = sig[i]; + } + if (damage == 3) { + sig[secp256k1_rand_int(n)][secp256k1_rand_bits(6)] ^= 1 + secp256k1_rand_int(255); + } + ret |= (secp256k1_ec_pubkey_combine(ctx, &allpub, pubs, n) != 1) * 2; + if ((ret & 1) == 0) { + ret |= (secp256k1_schnorr_partial_combine(ctx, allsig, sigs, n) != 1) * 4; + } + if (damage == 4) { + allsig[secp256k1_rand_int(32)] ^= 1 + secp256k1_rand_int(255); + } + if ((ret & 7) == 0) { + ret |= (secp256k1_schnorr_verify(ctx, allsig, msg, &allpub) != 1) * 8; + } + CHECK((ret == 0) == (damage == 0)); +} + +void test_schnorr_recovery(void) { + unsigned char msg32[32]; + unsigned char sig64[64]; + secp256k1_ge Q; + + secp256k1_rand256_test(msg32); + secp256k1_rand256_test(sig64); + secp256k1_rand256_test(sig64 + 32); + if (secp256k1_schnorr_sig_recover(&ctx->ecmult_ctx, sig64, &Q, &test_schnorr_hash, msg32) == 1) { + CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64, &Q, &test_schnorr_hash, msg32) == 1); + } +} + +void run_schnorr_tests(void) { + int i; + for (i = 0; i < 32*count; i++) { + test_schnorr_end_to_end(); + } + for (i = 0; i < 32 * count; i++) { + test_schnorr_sign_verify(); + } + for (i = 0; i < 16 * count; i++) { + test_schnorr_recovery(); + } + for (i = 0; i < 10 * count; i++) { + test_schnorr_threshold(); + } +} + +#endif @@ -20,48 +20,48 @@ #endif /** Copy a number. */ -static void secp256k1_num_copy(secp256k1_num_t *r, const secp256k1_num_t *a); +static void secp256k1_num_copy(secp256k1_num *r, const secp256k1_num *a); /** Convert a number's absolute value to a binary big-endian string. * There must be enough place. */ -static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num_t *a); +static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num *a); /** Set a number to the value of a binary big-endian string. */ -static void secp256k1_num_set_bin(secp256k1_num_t *r, const unsigned char *a, unsigned int alen); +static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsigned int alen); /** Compute a modular inverse. The input must be less than the modulus. */ -static void secp256k1_num_mod_inverse(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *m); +static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m); /** Compare the absolute value of two numbers. */ -static int secp256k1_num_cmp(const secp256k1_num_t *a, const secp256k1_num_t *b); +static int secp256k1_num_cmp(const secp256k1_num *a, const secp256k1_num *b); /** Test whether two number are equal (including sign). */ -static int secp256k1_num_eq(const secp256k1_num_t *a, const secp256k1_num_t *b); +static int secp256k1_num_eq(const secp256k1_num *a, const secp256k1_num *b); /** Add two (signed) numbers. */ -static void secp256k1_num_add(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *b); +static void secp256k1_num_add(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b); /** Subtract two (signed) numbers. */ -static void secp256k1_num_sub(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *b); +static void secp256k1_num_sub(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b); /** Multiply two (signed) numbers. */ -static void secp256k1_num_mul(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *b); +static void secp256k1_num_mul(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b); /** Replace a number by its remainder modulo m. M's sign is ignored. The result is a number between 0 and m-1, even if r was negative. */ -static void secp256k1_num_mod(secp256k1_num_t *r, const secp256k1_num_t *m); +static void secp256k1_num_mod(secp256k1_num *r, const secp256k1_num *m); /** Right-shift the passed number by bits bits. */ -static void secp256k1_num_shift(secp256k1_num_t *r, int bits); +static void secp256k1_num_shift(secp256k1_num *r, int bits); /** Check whether a number is zero. */ -static int secp256k1_num_is_zero(const secp256k1_num_t *a); +static int secp256k1_num_is_zero(const secp256k1_num *a); /** Check whether a number is strictly negative. */ -static int secp256k1_num_is_neg(const secp256k1_num_t *a); +static int secp256k1_num_is_neg(const secp256k1_num *a); /** Change a number's sign. */ -static void secp256k1_num_negate(secp256k1_num_t *r); +static void secp256k1_num_negate(secp256k1_num *r); #endif diff --git a/src/num_gmp.h b/src/num_gmp.h index baa1f2bf2e..7dd813088a 100644 --- a/src/num_gmp.h +++ b/src/num_gmp.h @@ -15,6 +15,6 @@ typedef struct { mp_limb_t data[2*NUM_LIMBS]; int neg; int limbs; -} secp256k1_num_t; +} secp256k1_num; #endif diff --git a/src/num_gmp_impl.h b/src/num_gmp_impl.h index dbbc458d5d..7b6a89719a 100644 --- a/src/num_gmp_impl.h +++ b/src/num_gmp_impl.h @@ -15,18 +15,18 @@ #include "num.h" #ifdef VERIFY -static void secp256k1_num_sanity(const secp256k1_num_t *a) { +static void secp256k1_num_sanity(const secp256k1_num *a) { VERIFY_CHECK(a->limbs == 1 || (a->limbs > 1 && a->data[a->limbs-1] != 0)); } #else #define secp256k1_num_sanity(a) do { } while(0) #endif -static void secp256k1_num_copy(secp256k1_num_t *r, const secp256k1_num_t *a) { +static void secp256k1_num_copy(secp256k1_num *r, const secp256k1_num *a) { *r = *a; } -static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num_t *a) { +static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num *a) { unsigned char tmp[65]; int len = 0; int shift = 0; @@ -42,7 +42,7 @@ static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const sec memset(tmp, 0, sizeof(tmp)); } -static void secp256k1_num_set_bin(secp256k1_num_t *r, const unsigned char *a, unsigned int alen) { +static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsigned int alen) { int len; VERIFY_CHECK(alen > 0); VERIFY_CHECK(alen <= 64); @@ -59,7 +59,7 @@ static void secp256k1_num_set_bin(secp256k1_num_t *r, const unsigned char *a, un } } -static void secp256k1_num_add_abs(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *b) { +static void secp256k1_num_add_abs(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { mp_limb_t c = mpn_add(r->data, a->data, a->limbs, b->data, b->limbs); r->limbs = a->limbs; if (c != 0) { @@ -68,8 +68,9 @@ static void secp256k1_num_add_abs(secp256k1_num_t *r, const secp256k1_num_t *a, } } -static void secp256k1_num_sub_abs(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *b) { +static void secp256k1_num_sub_abs(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { mp_limb_t c = mpn_sub(r->data, a->data, a->limbs, b->data, b->limbs); + (void)c; VERIFY_CHECK(c == 0); r->limbs = a->limbs; while (r->limbs > 1 && r->data[r->limbs-1]==0) { @@ -77,7 +78,7 @@ static void secp256k1_num_sub_abs(secp256k1_num_t *r, const secp256k1_num_t *a, } } -static void secp256k1_num_mod(secp256k1_num_t *r, const secp256k1_num_t *m) { +static void secp256k1_num_mod(secp256k1_num *r, const secp256k1_num *m) { secp256k1_num_sanity(r); secp256k1_num_sanity(m); @@ -97,7 +98,7 @@ static void secp256k1_num_mod(secp256k1_num_t *r, const secp256k1_num_t *m) { } } -static void secp256k1_num_mod_inverse(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *m) { +static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m) { int i; mp_limb_t g[NUM_LIMBS+1]; mp_limb_t u[NUM_LIMBS+1]; @@ -125,6 +126,7 @@ static void secp256k1_num_mod_inverse(secp256k1_num_t *r, const secp256k1_num_t } sn = NUM_LIMBS+1; gn = mpn_gcdext(g, r->data, &sn, u, m->limbs, v, m->limbs); + (void)gn; VERIFY_CHECK(gn == 1); VERIFY_CHECK(g[0] == 1); r->neg = a->neg ^ m->neg; @@ -142,15 +144,15 @@ static void secp256k1_num_mod_inverse(secp256k1_num_t *r, const secp256k1_num_t memset(v, 0, sizeof(v)); } -static int secp256k1_num_is_zero(const secp256k1_num_t *a) { +static int secp256k1_num_is_zero(const secp256k1_num *a) { return (a->limbs == 1 && a->data[0] == 0); } -static int secp256k1_num_is_neg(const secp256k1_num_t *a) { +static int secp256k1_num_is_neg(const secp256k1_num *a) { return (a->limbs > 1 || a->data[0] != 0) && a->neg; } -static int secp256k1_num_cmp(const secp256k1_num_t *a, const secp256k1_num_t *b) { +static int secp256k1_num_cmp(const secp256k1_num *a, const secp256k1_num *b) { if (a->limbs > b->limbs) { return 1; } @@ -160,7 +162,7 @@ static int secp256k1_num_cmp(const secp256k1_num_t *a, const secp256k1_num_t *b) return mpn_cmp(a->data, b->data, a->limbs); } -static int secp256k1_num_eq(const secp256k1_num_t *a, const secp256k1_num_t *b) { +static int secp256k1_num_eq(const secp256k1_num *a, const secp256k1_num *b) { if (a->limbs > b->limbs) { return 0; } @@ -173,7 +175,7 @@ static int secp256k1_num_eq(const secp256k1_num_t *a, const secp256k1_num_t *b) return mpn_cmp(a->data, b->data, a->limbs) == 0; } -static void secp256k1_num_subadd(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *b, int bneg) { +static void secp256k1_num_subadd(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b, int bneg) { if (!(b->neg ^ bneg ^ a->neg)) { /* a and b have the same sign */ r->neg = a->neg; if (a->limbs >= b->limbs) { @@ -192,19 +194,19 @@ static void secp256k1_num_subadd(secp256k1_num_t *r, const secp256k1_num_t *a, c } } -static void secp256k1_num_add(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *b) { +static void secp256k1_num_add(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { secp256k1_num_sanity(a); secp256k1_num_sanity(b); secp256k1_num_subadd(r, a, b, 0); } -static void secp256k1_num_sub(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *b) { +static void secp256k1_num_sub(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { secp256k1_num_sanity(a); secp256k1_num_sanity(b); secp256k1_num_subadd(r, a, b, 1); } -static void secp256k1_num_mul(secp256k1_num_t *r, const secp256k1_num_t *a, const secp256k1_num_t *b) { +static void secp256k1_num_mul(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { mp_limb_t tmp[2*NUM_LIMBS+1]; secp256k1_num_sanity(a); secp256k1_num_sanity(b); @@ -231,13 +233,13 @@ static void secp256k1_num_mul(secp256k1_num_t *r, const secp256k1_num_t *a, cons memset(tmp, 0, sizeof(tmp)); } -static void secp256k1_num_shift(secp256k1_num_t *r, int bits) { - int i; +static void secp256k1_num_shift(secp256k1_num *r, int bits) { if (bits % GMP_NUMB_BITS) { /* Shift within limbs. */ mpn_rshift(r->data, r->data, r->limbs, bits % GMP_NUMB_BITS); } if (bits >= GMP_NUMB_BITS) { + int i; /* Shift full limbs. */ for (i = 0; i < r->limbs; i++) { int index = i + (bits / GMP_NUMB_BITS); @@ -253,7 +255,7 @@ static void secp256k1_num_shift(secp256k1_num_t *r, int bits) { } } -static void secp256k1_num_negate(secp256k1_num_t *r) { +static void secp256k1_num_negate(secp256k1_num *r) { r->neg ^= 1; } diff --git a/src/scalar.h b/src/scalar.h index f5d09f8d47..b590ccd6dd 100644 --- a/src/scalar.h +++ b/src/scalar.h @@ -22,72 +22,83 @@ #endif /** Clear a scalar to prevent the leak of sensitive data. */ -static void secp256k1_scalar_clear(secp256k1_scalar_t *r); +static void secp256k1_scalar_clear(secp256k1_scalar *r); /** Access bits from a scalar. All requested bits must belong to the same 32-bit limb. */ -static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar_t *a, unsigned int offset, unsigned int count); +static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count); /** Access bits from a scalar. Not constant time. */ -static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar_t *a, unsigned int offset, unsigned int count); +static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count); /** Set a scalar from a big endian byte array. */ -static void secp256k1_scalar_set_b32(secp256k1_scalar_t *r, const unsigned char *bin, int *overflow); +static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *bin, int *overflow); /** Set a scalar to an unsigned integer. */ -static void secp256k1_scalar_set_int(secp256k1_scalar_t *r, unsigned int v); +static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v); /** Convert a scalar to a byte array. */ -static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar_t* a); +static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a); /** Add two scalars together (modulo the group order). Returns whether it overflowed. */ -static int secp256k1_scalar_add(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b); +static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b); -/** Add a power of two to a scalar. The result is not allowed to overflow. */ -static void secp256k1_scalar_add_bit(secp256k1_scalar_t *r, unsigned int bit); +/** Conditionally add a power of two to a scalar. The result is not allowed to overflow. */ +static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag); /** Multiply two scalars (modulo the group order). */ -static void secp256k1_scalar_mul(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b); +static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b); + +/** Shift a scalar right by some amount strictly between 0 and 16, returning + * the low bits that were shifted off */ +static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n); /** Compute the square of a scalar (modulo the group order). */ -static void secp256k1_scalar_sqr(secp256k1_scalar_t *r, const secp256k1_scalar_t *a); +static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a); /** Compute the inverse of a scalar (modulo the group order). */ -static void secp256k1_scalar_inverse(secp256k1_scalar_t *r, const secp256k1_scalar_t *a); +static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *a); /** Compute the inverse of a scalar (modulo the group order), without constant-time guarantee. */ -static void secp256k1_scalar_inverse_var(secp256k1_scalar_t *r, const secp256k1_scalar_t *a); +static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *a); /** Compute the complement of a scalar (modulo the group order). */ -static void secp256k1_scalar_negate(secp256k1_scalar_t *r, const secp256k1_scalar_t *a); +static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a); /** Check whether a scalar equals zero. */ -static int secp256k1_scalar_is_zero(const secp256k1_scalar_t *a); +static int secp256k1_scalar_is_zero(const secp256k1_scalar *a); /** Check whether a scalar equals one. */ -static int secp256k1_scalar_is_one(const secp256k1_scalar_t *a); +static int secp256k1_scalar_is_one(const secp256k1_scalar *a); + +/** Check whether a scalar, considered as an nonnegative integer, is even. */ +static int secp256k1_scalar_is_even(const secp256k1_scalar *a); /** Check whether a scalar is higher than the group order divided by 2. */ -static int secp256k1_scalar_is_high(const secp256k1_scalar_t *a); +static int secp256k1_scalar_is_high(const secp256k1_scalar *a); + +/** Conditionally negate a number, in constant time. + * Returns -1 if the number was negated, 1 otherwise */ +static int secp256k1_scalar_cond_negate(secp256k1_scalar *a, int flag); #ifndef USE_NUM_NONE /** Convert a scalar to a number. */ -static void secp256k1_scalar_get_num(secp256k1_num_t *r, const secp256k1_scalar_t *a); +static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a); /** Get the order of the group as a number. */ -static void secp256k1_scalar_order_get_num(secp256k1_num_t *r); +static void secp256k1_scalar_order_get_num(secp256k1_num *r); #endif /** Compare two scalars. */ -static int secp256k1_scalar_eq(const secp256k1_scalar_t *a, const secp256k1_scalar_t *b); +static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b); #ifdef USE_ENDOMORPHISM /** Find r1 and r2 such that r1+r2*2^128 = a. */ -static void secp256k1_scalar_split_128(secp256k1_scalar_t *r1, secp256k1_scalar_t *r2, const secp256k1_scalar_t *a); +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a); /** Find r1 and r2 such that r1+r2*lambda = a, and r1 and r2 are maximum 128 bits long (see secp256k1_gej_mul_lambda). */ -static void secp256k1_scalar_split_lambda_var(secp256k1_scalar_t *r1, secp256k1_scalar_t *r2, const secp256k1_scalar_t *a); +static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a); #endif /** Multiply a and b (without taking the modulus!), divide by 2**shift, and round to the nearest integer. Shift must be at least 256. */ -static void secp256k1_scalar_mul_shift_var(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b, unsigned int shift); +static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b, unsigned int shift); #endif diff --git a/src/scalar_4x64.h b/src/scalar_4x64.h index 82899aa7b0..cff406038f 100644 --- a/src/scalar_4x64.h +++ b/src/scalar_4x64.h @@ -12,7 +12,7 @@ /** A scalar modulo the group order of the secp256k1 curve. */ typedef struct { uint64_t d[4]; -} secp256k1_scalar_t; +} secp256k1_scalar; #define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{((uint64_t)(d1)) << 32 | (d0), ((uint64_t)(d3)) << 32 | (d2), ((uint64_t)(d5)) << 32 | (d4), ((uint64_t)(d7)) << 32 | (d6)}} diff --git a/src/scalar_4x64_impl.h b/src/scalar_4x64_impl.h index ff365292f8..aa2703dd23 100644 --- a/src/scalar_4x64_impl.h +++ b/src/scalar_4x64_impl.h @@ -24,26 +24,26 @@ #define SECP256K1_N_H_2 ((uint64_t)0xFFFFFFFFFFFFFFFFULL) #define SECP256K1_N_H_3 ((uint64_t)0x7FFFFFFFFFFFFFFFULL) -SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar_t *r) { +SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { r->d[0] = 0; r->d[1] = 0; r->d[2] = 0; r->d[3] = 0; } -SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar_t *r, unsigned int v) { +SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { r->d[0] = v; r->d[1] = 0; r->d[2] = 0; r->d[3] = 0; } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar_t *a, unsigned int offset, unsigned int count) { +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { VERIFY_CHECK((offset + count - 1) >> 6 == offset >> 6); return (a->d[offset >> 6] >> (offset & 0x3F)) & ((((uint64_t)1) << count) - 1); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar_t *a, unsigned int offset, unsigned int count) { +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { VERIFY_CHECK(count < 32); VERIFY_CHECK(offset + count <= 256); if ((offset + count - 1) >> 6 == offset >> 6) { @@ -54,7 +54,7 @@ SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256 } } -SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar_t *a) { +SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar *a) { int yes = 0; int no = 0; no |= (a->d[3] < SECP256K1_N_3); /* No need for a > check. */ @@ -66,7 +66,7 @@ SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scal return yes; } -SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar_t *r, unsigned int overflow) { +SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, unsigned int overflow) { uint128_t t; VERIFY_CHECK(overflow <= 1); t = (uint128_t)r->d[0] + overflow * SECP256K1_N_C_0; @@ -80,7 +80,7 @@ SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar_t *r, unsig return overflow; } -static int secp256k1_scalar_add(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b) { +static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { int overflow; uint128_t t = (uint128_t)a->d[0] + b->d[0]; r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; @@ -96,9 +96,10 @@ static int secp256k1_scalar_add(secp256k1_scalar_t *r, const secp256k1_scalar_t return overflow; } -static void secp256k1_scalar_add_bit(secp256k1_scalar_t *r, unsigned int bit) { +static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { uint128_t t; VERIFY_CHECK(bit < 256); + bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 6) > 3 makes this a noop */ t = (uint128_t)r->d[0] + (((uint64_t)((bit >> 6) == 0)) << (bit & 0x3F)); r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; t += (uint128_t)r->d[1] + (((uint64_t)((bit >> 6) == 1)) << (bit & 0x3F)); @@ -113,7 +114,7 @@ static void secp256k1_scalar_add_bit(secp256k1_scalar_t *r, unsigned int bit) { #endif } -static void secp256k1_scalar_set_b32(secp256k1_scalar_t *r, const unsigned char *b32, int *overflow) { +static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { int over; r->d[0] = (uint64_t)b32[31] | (uint64_t)b32[30] << 8 | (uint64_t)b32[29] << 16 | (uint64_t)b32[28] << 24 | (uint64_t)b32[27] << 32 | (uint64_t)b32[26] << 40 | (uint64_t)b32[25] << 48 | (uint64_t)b32[24] << 56; r->d[1] = (uint64_t)b32[23] | (uint64_t)b32[22] << 8 | (uint64_t)b32[21] << 16 | (uint64_t)b32[20] << 24 | (uint64_t)b32[19] << 32 | (uint64_t)b32[18] << 40 | (uint64_t)b32[17] << 48 | (uint64_t)b32[16] << 56; @@ -125,18 +126,18 @@ static void secp256k1_scalar_set_b32(secp256k1_scalar_t *r, const unsigned char } } -static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar_t* a) { +static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { bin[0] = a->d[3] >> 56; bin[1] = a->d[3] >> 48; bin[2] = a->d[3] >> 40; bin[3] = a->d[3] >> 32; bin[4] = a->d[3] >> 24; bin[5] = a->d[3] >> 16; bin[6] = a->d[3] >> 8; bin[7] = a->d[3]; bin[8] = a->d[2] >> 56; bin[9] = a->d[2] >> 48; bin[10] = a->d[2] >> 40; bin[11] = a->d[2] >> 32; bin[12] = a->d[2] >> 24; bin[13] = a->d[2] >> 16; bin[14] = a->d[2] >> 8; bin[15] = a->d[2]; bin[16] = a->d[1] >> 56; bin[17] = a->d[1] >> 48; bin[18] = a->d[1] >> 40; bin[19] = a->d[1] >> 32; bin[20] = a->d[1] >> 24; bin[21] = a->d[1] >> 16; bin[22] = a->d[1] >> 8; bin[23] = a->d[1]; bin[24] = a->d[0] >> 56; bin[25] = a->d[0] >> 48; bin[26] = a->d[0] >> 40; bin[27] = a->d[0] >> 32; bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0]; } -SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar_t *a) { +SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { return (a->d[0] | a->d[1] | a->d[2] | a->d[3]) == 0; } -static void secp256k1_scalar_negate(secp256k1_scalar_t *r, const secp256k1_scalar_t *a) { +static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { uint64_t nonzero = 0xFFFFFFFFFFFFFFFFULL * (secp256k1_scalar_is_zero(a) == 0); uint128_t t = (uint128_t)(~a->d[0]) + SECP256K1_N_0 + 1; r->d[0] = t & nonzero; t >>= 64; @@ -148,11 +149,11 @@ static void secp256k1_scalar_negate(secp256k1_scalar_t *r, const secp256k1_scala r->d[3] = t & nonzero; } -SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar_t *a) { +SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3]) == 0; } -static int secp256k1_scalar_is_high(const secp256k1_scalar_t *a) { +static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { int yes = 0; int no = 0; no |= (a->d[3] < SECP256K1_N_H_3); @@ -164,6 +165,22 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar_t *a) { return yes; } +static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { + /* If we are flag = 0, mask = 00...00 and this is a no-op; + * if we are flag = 1, mask = 11...11 and this is identical to secp256k1_scalar_negate */ + uint64_t mask = !flag - 1; + uint64_t nonzero = (secp256k1_scalar_is_zero(r) != 0) - 1; + uint128_t t = (uint128_t)(r->d[0] ^ mask) + ((SECP256K1_N_0 + 1) & mask); + r->d[0] = t & nonzero; t >>= 64; + t += (uint128_t)(r->d[1] ^ mask) + (SECP256K1_N_1 & mask); + r->d[1] = t & nonzero; t >>= 64; + t += (uint128_t)(r->d[2] ^ mask) + (SECP256K1_N_2 & mask); + r->d[2] = t & nonzero; t >>= 64; + t += (uint128_t)(r->d[3] ^ mask) + (SECP256K1_N_3 & mask); + r->d[3] = t & nonzero; + return 2 * (mask == 0) - 1; +} + /* Inspired by the macros in OpenSSL's crypto/bn/asm/x86_64-gcc.c. */ /** Add a*b to the number defined by (c0,c1,c2). c2 must never overflow. */ @@ -250,7 +267,7 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar_t *a) { VERIFY_CHECK(c2 == 0); \ } -static void secp256k1_scalar_reduce_512(secp256k1_scalar_t *r, const uint64_t *l) { +static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) { #ifdef USE_ASM_X86_64 /* Reduce 512 bits into 385. */ uint64_t m0, m1, m2, m3, m4, m5, m6; @@ -559,7 +576,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar_t *r, const uint64_t *l secp256k1_scalar_reduce(r, c + secp256k1_scalar_check_overflow(r)); } -static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar_t *a, const secp256k1_scalar_t *b) { +static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, const secp256k1_scalar *b) { #ifdef USE_ASM_X86_64 const uint64_t *pb = b->d; __asm__ __volatile__( @@ -721,12 +738,12 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar_t *a, extract(l[5]); muladd_fast(a->d[3], b->d[3]); extract_fast(l[6]); - VERIFY_CHECK(c1 <= 0); + VERIFY_CHECK(c1 == 0); l[7] = c0; #endif } -static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar_t *a) { +static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar *a) { #ifdef USE_ASM_X86_64 __asm__ __volatile__( /* Preload */ @@ -871,19 +888,32 @@ static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar_t *a) #undef extract #undef extract_fast -static void secp256k1_scalar_mul(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b) { +static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { uint64_t l[8]; secp256k1_scalar_mul_512(l, a, b); secp256k1_scalar_reduce_512(r, l); } -static void secp256k1_scalar_sqr(secp256k1_scalar_t *r, const secp256k1_scalar_t *a) { +static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { + int ret; + VERIFY_CHECK(n > 0); + VERIFY_CHECK(n < 16); + ret = r->d[0] & ((1 << n) - 1); + r->d[0] = (r->d[0] >> n) + (r->d[1] << (64 - n)); + r->d[1] = (r->d[1] >> n) + (r->d[2] << (64 - n)); + r->d[2] = (r->d[2] >> n) + (r->d[3] << (64 - n)); + r->d[3] = (r->d[3] >> n); + return ret; +} + +static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) { uint64_t l[8]; secp256k1_scalar_sqr_512(l, a); secp256k1_scalar_reduce_512(r, l); } -static void secp256k1_scalar_split_128(secp256k1_scalar_t *r1, secp256k1_scalar_t *r2, const secp256k1_scalar_t *a) { +#ifdef USE_ENDOMORPHISM +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { r1->d[0] = a->d[0]; r1->d[1] = a->d[1]; r1->d[2] = 0; @@ -893,12 +923,13 @@ static void secp256k1_scalar_split_128(secp256k1_scalar_t *r1, secp256k1_scalar_ r2->d[2] = 0; r2->d[3] = 0; } +#endif -SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar_t *a, const secp256k1_scalar_t *b) { +SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3])) == 0; } -SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b, unsigned int shift) { +SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b, unsigned int shift) { uint64_t l[8]; unsigned int shiftlimbs; unsigned int shiftlow; @@ -912,9 +943,7 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar_t * r->d[1] = shift < 448 ? (l[1 + shiftlimbs] >> shiftlow | (shift < 384 && shiftlow ? (l[2 + shiftlimbs] << shifthigh) : 0)) : 0; r->d[2] = shift < 384 ? (l[2 + shiftlimbs] >> shiftlow | (shift < 320 && shiftlow ? (l[3 + shiftlimbs] << shifthigh) : 0)) : 0; r->d[3] = shift < 320 ? (l[3 + shiftlimbs] >> shiftlow) : 0; - if ((l[(shift - 1) >> 6] >> ((shift - 1) & 0x3f)) & 1) { - secp256k1_scalar_add_bit(r, 0); - } + secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 6] >> ((shift - 1) & 0x3f)) & 1); } #endif diff --git a/src/scalar_8x32.h b/src/scalar_8x32.h index f17017e24e..1319664f65 100644 --- a/src/scalar_8x32.h +++ b/src/scalar_8x32.h @@ -12,7 +12,7 @@ /** A scalar modulo the group order of the secp256k1 curve. */ typedef struct { uint32_t d[8]; -} secp256k1_scalar_t; +} secp256k1_scalar; #define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{(d0), (d1), (d2), (d3), (d4), (d5), (d6), (d7)}} diff --git a/src/scalar_8x32_impl.h b/src/scalar_8x32_impl.h index 22b31d4112..aae4f35c08 100644 --- a/src/scalar_8x32_impl.h +++ b/src/scalar_8x32_impl.h @@ -34,7 +34,7 @@ #define SECP256K1_N_H_6 ((uint32_t)0xFFFFFFFFUL) #define SECP256K1_N_H_7 ((uint32_t)0x7FFFFFFFUL) -SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar_t *r) { +SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { r->d[0] = 0; r->d[1] = 0; r->d[2] = 0; @@ -45,7 +45,7 @@ SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar_t *r) { r->d[7] = 0; } -SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar_t *r, unsigned int v) { +SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { r->d[0] = v; r->d[1] = 0; r->d[2] = 0; @@ -56,12 +56,12 @@ SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar_t *r, uns r->d[7] = 0; } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar_t *a, unsigned int offset, unsigned int count) { +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { VERIFY_CHECK((offset + count - 1) >> 5 == offset >> 5); return (a->d[offset >> 5] >> (offset & 0x1F)) & ((1 << count) - 1); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar_t *a, unsigned int offset, unsigned int count) { +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { VERIFY_CHECK(count < 32); VERIFY_CHECK(offset + count <= 256); if ((offset + count - 1) >> 5 == offset >> 5) { @@ -72,7 +72,7 @@ SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256 } } -SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar_t *a) { +SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar *a) { int yes = 0; int no = 0; no |= (a->d[7] < SECP256K1_N_7); /* No need for a > check. */ @@ -90,7 +90,7 @@ SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scal return yes; } -SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar_t *r, uint32_t overflow) { +SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, uint32_t overflow) { uint64_t t; VERIFY_CHECK(overflow <= 1); t = (uint64_t)r->d[0] + overflow * SECP256K1_N_C_0; @@ -112,7 +112,7 @@ SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar_t *r, uint3 return overflow; } -static int secp256k1_scalar_add(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b) { +static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { int overflow; uint64_t t = (uint64_t)a->d[0] + b->d[0]; r->d[0] = t & 0xFFFFFFFFULL; t >>= 32; @@ -136,9 +136,10 @@ static int secp256k1_scalar_add(secp256k1_scalar_t *r, const secp256k1_scalar_t return overflow; } -static void secp256k1_scalar_add_bit(secp256k1_scalar_t *r, unsigned int bit) { +static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { uint64_t t; VERIFY_CHECK(bit < 256); + bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 5) > 7 makes this a noop */ t = (uint64_t)r->d[0] + (((uint32_t)((bit >> 5) == 0)) << (bit & 0x1F)); r->d[0] = t & 0xFFFFFFFFULL; t >>= 32; t += (uint64_t)r->d[1] + (((uint32_t)((bit >> 5) == 1)) << (bit & 0x1F)); @@ -161,7 +162,7 @@ static void secp256k1_scalar_add_bit(secp256k1_scalar_t *r, unsigned int bit) { #endif } -static void secp256k1_scalar_set_b32(secp256k1_scalar_t *r, const unsigned char *b32, int *overflow) { +static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { int over; r->d[0] = (uint32_t)b32[31] | (uint32_t)b32[30] << 8 | (uint32_t)b32[29] << 16 | (uint32_t)b32[28] << 24; r->d[1] = (uint32_t)b32[27] | (uint32_t)b32[26] << 8 | (uint32_t)b32[25] << 16 | (uint32_t)b32[24] << 24; @@ -177,7 +178,7 @@ static void secp256k1_scalar_set_b32(secp256k1_scalar_t *r, const unsigned char } } -static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar_t* a) { +static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { bin[0] = a->d[7] >> 24; bin[1] = a->d[7] >> 16; bin[2] = a->d[7] >> 8; bin[3] = a->d[7]; bin[4] = a->d[6] >> 24; bin[5] = a->d[6] >> 16; bin[6] = a->d[6] >> 8; bin[7] = a->d[6]; bin[8] = a->d[5] >> 24; bin[9] = a->d[5] >> 16; bin[10] = a->d[5] >> 8; bin[11] = a->d[5]; @@ -188,11 +189,11 @@ static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar_ bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0]; } -SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar_t *a) { +SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { return (a->d[0] | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0; } -static void secp256k1_scalar_negate(secp256k1_scalar_t *r, const secp256k1_scalar_t *a) { +static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { uint32_t nonzero = 0xFFFFFFFFUL * (secp256k1_scalar_is_zero(a) == 0); uint64_t t = (uint64_t)(~a->d[0]) + SECP256K1_N_0 + 1; r->d[0] = t & nonzero; t >>= 32; @@ -212,11 +213,11 @@ static void secp256k1_scalar_negate(secp256k1_scalar_t *r, const secp256k1_scala r->d[7] = t & nonzero; } -SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar_t *a) { +SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0; } -static int secp256k1_scalar_is_high(const secp256k1_scalar_t *a) { +static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { int yes = 0; int no = 0; no |= (a->d[7] < SECP256K1_N_H_7); @@ -234,6 +235,31 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar_t *a) { return yes; } +static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { + /* If we are flag = 0, mask = 00...00 and this is a no-op; + * if we are flag = 1, mask = 11...11 and this is identical to secp256k1_scalar_negate */ + uint32_t mask = !flag - 1; + uint32_t nonzero = 0xFFFFFFFFUL * (secp256k1_scalar_is_zero(r) == 0); + uint64_t t = (uint64_t)(r->d[0] ^ mask) + ((SECP256K1_N_0 + 1) & mask); + r->d[0] = t & nonzero; t >>= 32; + t += (uint64_t)(r->d[1] ^ mask) + (SECP256K1_N_1 & mask); + r->d[1] = t & nonzero; t >>= 32; + t += (uint64_t)(r->d[2] ^ mask) + (SECP256K1_N_2 & mask); + r->d[2] = t & nonzero; t >>= 32; + t += (uint64_t)(r->d[3] ^ mask) + (SECP256K1_N_3 & mask); + r->d[3] = t & nonzero; t >>= 32; + t += (uint64_t)(r->d[4] ^ mask) + (SECP256K1_N_4 & mask); + r->d[4] = t & nonzero; t >>= 32; + t += (uint64_t)(r->d[5] ^ mask) + (SECP256K1_N_5 & mask); + r->d[5] = t & nonzero; t >>= 32; + t += (uint64_t)(r->d[6] ^ mask) + (SECP256K1_N_6 & mask); + r->d[6] = t & nonzero; t >>= 32; + t += (uint64_t)(r->d[7] ^ mask) + (SECP256K1_N_7 & mask); + r->d[7] = t & nonzero; + return 2 * (mask == 0) - 1; +} + + /* Inspired by the macros in OpenSSL's crypto/bn/asm/x86_64-gcc.c. */ /** Add a*b to the number defined by (c0,c1,c2). c2 must never overflow. */ @@ -320,7 +346,7 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar_t *a) { VERIFY_CHECK(c2 == 0); \ } -static void secp256k1_scalar_reduce_512(secp256k1_scalar_t *r, const uint32_t *l) { +static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint32_t *l) { uint64_t c; uint32_t n0 = l[8], n1 = l[9], n2 = l[10], n3 = l[11], n4 = l[12], n5 = l[13], n6 = l[14], n7 = l[15]; uint32_t m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11, m12; @@ -462,7 +488,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar_t *r, const uint32_t *l secp256k1_scalar_reduce(r, c + secp256k1_scalar_check_overflow(r)); } -static void secp256k1_scalar_mul_512(uint32_t *l, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b) { +static void secp256k1_scalar_mul_512(uint32_t *l, const secp256k1_scalar *a, const secp256k1_scalar *b) { /* 96 bit accumulator. */ uint32_t c0 = 0, c1 = 0, c2 = 0; @@ -550,7 +576,7 @@ static void secp256k1_scalar_mul_512(uint32_t *l, const secp256k1_scalar_t *a, c l[15] = c0; } -static void secp256k1_scalar_sqr_512(uint32_t *l, const secp256k1_scalar_t *a) { +static void secp256k1_scalar_sqr_512(uint32_t *l, const secp256k1_scalar *a) { /* 96 bit accumulator. */ uint32_t c0 = 0, c1 = 0, c2 = 0; @@ -618,20 +644,36 @@ static void secp256k1_scalar_sqr_512(uint32_t *l, const secp256k1_scalar_t *a) { #undef extract #undef extract_fast -static void secp256k1_scalar_mul(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b) { +static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { uint32_t l[16]; secp256k1_scalar_mul_512(l, a, b); secp256k1_scalar_reduce_512(r, l); } -static void secp256k1_scalar_sqr(secp256k1_scalar_t *r, const secp256k1_scalar_t *a) { +static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { + int ret; + VERIFY_CHECK(n > 0); + VERIFY_CHECK(n < 16); + ret = r->d[0] & ((1 << n) - 1); + r->d[0] = (r->d[0] >> n) + (r->d[1] << (32 - n)); + r->d[1] = (r->d[1] >> n) + (r->d[2] << (32 - n)); + r->d[2] = (r->d[2] >> n) + (r->d[3] << (32 - n)); + r->d[3] = (r->d[3] >> n) + (r->d[4] << (32 - n)); + r->d[4] = (r->d[4] >> n) + (r->d[5] << (32 - n)); + r->d[5] = (r->d[5] >> n) + (r->d[6] << (32 - n)); + r->d[6] = (r->d[6] >> n) + (r->d[7] << (32 - n)); + r->d[7] = (r->d[7] >> n); + return ret; +} + +static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) { uint32_t l[16]; secp256k1_scalar_sqr_512(l, a); secp256k1_scalar_reduce_512(r, l); } #ifdef USE_ENDOMORPHISM -static void secp256k1_scalar_split_128(secp256k1_scalar_t *r1, secp256k1_scalar_t *r2, const secp256k1_scalar_t *a) { +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { r1->d[0] = a->d[0]; r1->d[1] = a->d[1]; r1->d[2] = a->d[2]; @@ -651,11 +693,11 @@ static void secp256k1_scalar_split_128(secp256k1_scalar_t *r1, secp256k1_scalar_ } #endif -SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar_t *a, const secp256k1_scalar_t *b) { +SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3]) | (a->d[4] ^ b->d[4]) | (a->d[5] ^ b->d[5]) | (a->d[6] ^ b->d[6]) | (a->d[7] ^ b->d[7])) == 0; } -SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b, unsigned int shift) { +SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b, unsigned int shift) { uint32_t l[16]; unsigned int shiftlimbs; unsigned int shiftlow; @@ -673,9 +715,7 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar_t * r->d[5] = shift < 352 ? (l[5 + shiftlimbs] >> shiftlow | (shift < 320 && shiftlow ? (l[6 + shiftlimbs] << shifthigh) : 0)) : 0; r->d[6] = shift < 320 ? (l[6 + shiftlimbs] >> shiftlow | (shift < 288 && shiftlow ? (l[7 + shiftlimbs] << shifthigh) : 0)) : 0; r->d[7] = shift < 288 ? (l[7 + shiftlimbs] >> shiftlow) : 0; - if ((l[(shift - 1) >> 5] >> ((shift - 1) & 0x1f)) & 1) { - secp256k1_scalar_add_bit(r, 0); - } + secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 5] >> ((shift - 1) & 0x1f)) & 1); } #endif diff --git a/src/scalar_impl.h b/src/scalar_impl.h index 33824983e4..88ea97de86 100644 --- a/src/scalar_impl.h +++ b/src/scalar_impl.h @@ -25,14 +25,14 @@ #endif #ifndef USE_NUM_NONE -static void secp256k1_scalar_get_num(secp256k1_num_t *r, const secp256k1_scalar_t *a) { +static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a) { unsigned char c[32]; secp256k1_scalar_get_b32(c, a); secp256k1_num_set_bin(r, c, 32); } /** secp256k1 curve order, see secp256k1_ecdsa_const_order_as_fe in ecdsa_impl.h */ -static void secp256k1_scalar_order_get_num(secp256k1_num_t *r) { +static void secp256k1_scalar_order_get_num(secp256k1_num *r) { static const unsigned char order[32] = { 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE, @@ -43,11 +43,11 @@ static void secp256k1_scalar_order_get_num(secp256k1_num_t *r) { } #endif -static void secp256k1_scalar_inverse(secp256k1_scalar_t *r, const secp256k1_scalar_t *x) { - secp256k1_scalar_t *t; +static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) { + secp256k1_scalar *t; int i; /* First compute x ^ (2^N - 1) for some values of N. */ - secp256k1_scalar_t x2, x3, x4, x6, x7, x8, x15, x30, x60, x120, x127; + secp256k1_scalar x2, x3, x4, x6, x7, x8, x15, x30, x60, x120, x127; secp256k1_scalar_sqr(&x2, x); secp256k1_scalar_mul(&x2, &x2, x); @@ -234,18 +234,27 @@ static void secp256k1_scalar_inverse(secp256k1_scalar_t *r, const secp256k1_scal secp256k1_scalar_mul(r, t, &x6); /* 111111 */ } -static void secp256k1_scalar_inverse_var(secp256k1_scalar_t *r, const secp256k1_scalar_t *x) { +SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + /* d[0] is present and is the lowest word for all representations */ + return !(a->d[0] & 1); +} + +static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { #if defined(USE_SCALAR_INV_BUILTIN) secp256k1_scalar_inverse(r, x); #elif defined(USE_SCALAR_INV_NUM) unsigned char b[32]; - secp256k1_num_t n, m; - secp256k1_scalar_get_b32(b, x); + secp256k1_num n, m; + secp256k1_scalar t = *x; + secp256k1_scalar_get_b32(b, &t); secp256k1_num_set_bin(&n, b, 32); secp256k1_scalar_order_get_num(&m); secp256k1_num_mod_inverse(&n, &n, &m); secp256k1_num_get_bin(b, 32, &n); secp256k1_scalar_set_b32(r, b, NULL); + /* Verify that the inverse was computed correctly, without GMP code. */ + secp256k1_scalar_mul(&t, &t, r); + CHECK(secp256k1_scalar_is_one(&t)); #else #error "Please select scalar inverse implementation" #endif @@ -290,30 +299,31 @@ static void secp256k1_scalar_inverse_var(secp256k1_scalar_t *r, const secp256k1_ * The function below splits a in r1 and r2, such that r1 + lambda * r2 == a (mod order). */ -static void secp256k1_scalar_split_lambda_var(secp256k1_scalar_t *r1, secp256k1_scalar_t *r2, const secp256k1_scalar_t *a) { - secp256k1_scalar_t c1, c2; - static const secp256k1_scalar_t minus_lambda = SECP256K1_SCALAR_CONST( +static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { + secp256k1_scalar c1, c2; + static const secp256k1_scalar minus_lambda = SECP256K1_SCALAR_CONST( 0xAC9C52B3UL, 0x3FA3CF1FUL, 0x5AD9E3FDUL, 0x77ED9BA4UL, 0xA880B9FCUL, 0x8EC739C2UL, 0xE0CFC810UL, 0xB51283CFUL ); - static const secp256k1_scalar_t minus_b1 = SECP256K1_SCALAR_CONST( + static const secp256k1_scalar minus_b1 = SECP256K1_SCALAR_CONST( 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0xE4437ED6UL, 0x010E8828UL, 0x6F547FA9UL, 0x0ABFE4C3UL ); - static const secp256k1_scalar_t minus_b2 = SECP256K1_SCALAR_CONST( + static const secp256k1_scalar minus_b2 = SECP256K1_SCALAR_CONST( 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, 0x8A280AC5UL, 0x0774346DUL, 0xD765CDA8UL, 0x3DB1562CUL ); - static const secp256k1_scalar_t g1 = SECP256K1_SCALAR_CONST( + static const secp256k1_scalar g1 = SECP256K1_SCALAR_CONST( 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00003086UL, 0xD221A7D4UL, 0x6BCDE86CUL, 0x90E49284UL, 0xEB153DABUL ); - static const secp256k1_scalar_t g2 = SECP256K1_SCALAR_CONST( + static const secp256k1_scalar g2 = SECP256K1_SCALAR_CONST( 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x0000E443UL, 0x7ED6010EUL, 0x88286F54UL, 0x7FA90ABFUL, 0xE4C42212UL ); VERIFY_CHECK(r1 != a); VERIFY_CHECK(r2 != a); + /* these _var calls are constant time since the shift amount is constant */ secp256k1_scalar_mul_shift_var(&c1, a, &g1, 272); secp256k1_scalar_mul_shift_var(&c2, a, &g2, 272); secp256k1_scalar_mul(&c1, &c1, &minus_b1); diff --git a/src/secp256k1.c b/src/secp256k1.c index d6192dc4ed..62d192baeb 100644 --- a/src/secp256k1.c +++ b/src/secp256k1.c @@ -14,150 +14,348 @@ #include "scalar_impl.h" #include "group_impl.h" #include "ecmult_impl.h" +#include "ecmult_const_impl.h" #include "ecmult_gen_impl.h" #include "ecdsa_impl.h" #include "eckey_impl.h" #include "hash_impl.h" +#define ARG_CHECK(cond) do { \ + if (EXPECT(!(cond), 0)) { \ + secp256k1_callback_call(&ctx->illegal_callback, #cond); \ + return 0; \ + } \ +} while(0) + +static void default_illegal_callback_fn(const char* str, void* data) { + (void)data; + fprintf(stderr, "[libsecp256k1] illegal argument: %s\n", str); + abort(); +} + +static const secp256k1_callback default_illegal_callback = { + default_illegal_callback_fn, + NULL +}; + +static void default_error_callback_fn(const char* str, void* data) { + (void)data; + fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str); + abort(); +} + +static const secp256k1_callback default_error_callback = { + default_error_callback_fn, + NULL +}; + + struct secp256k1_context_struct { - secp256k1_ecmult_context_t ecmult_ctx; - secp256k1_ecmult_gen_context_t ecmult_gen_ctx; + secp256k1_ecmult_context ecmult_ctx; + secp256k1_ecmult_gen_context ecmult_gen_ctx; + secp256k1_callback illegal_callback; + secp256k1_callback error_callback; }; -secp256k1_context_t* secp256k1_context_create(int flags) { - secp256k1_context_t* ret = (secp256k1_context_t*)checked_malloc(sizeof(secp256k1_context_t)); +secp256k1_context* secp256k1_context_create(unsigned int flags) { + secp256k1_context* ret = (secp256k1_context*)checked_malloc(&default_error_callback, sizeof(secp256k1_context)); + ret->illegal_callback = default_illegal_callback; + ret->error_callback = default_error_callback; + + if (EXPECT((flags & SECP256K1_FLAGS_TYPE_MASK) != SECP256K1_FLAGS_TYPE_CONTEXT, 0)) { + secp256k1_callback_call(&ret->illegal_callback, + "Invalid flags"); + free(ret); + return NULL; + } secp256k1_ecmult_context_init(&ret->ecmult_ctx); secp256k1_ecmult_gen_context_init(&ret->ecmult_gen_ctx); - if (flags & SECP256K1_CONTEXT_SIGN) { - secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx); + if (flags & SECP256K1_FLAGS_BIT_CONTEXT_SIGN) { + secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx, &ret->error_callback); } - if (flags & SECP256K1_CONTEXT_VERIFY) { - secp256k1_ecmult_context_build(&ret->ecmult_ctx); + if (flags & SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) { + secp256k1_ecmult_context_build(&ret->ecmult_ctx, &ret->error_callback); } return ret; } -secp256k1_context_t* secp256k1_context_clone(const secp256k1_context_t* ctx) { - secp256k1_context_t* ret = (secp256k1_context_t*)checked_malloc(sizeof(secp256k1_context_t)); - secp256k1_ecmult_context_clone(&ret->ecmult_ctx, &ctx->ecmult_ctx); - secp256k1_ecmult_gen_context_clone(&ret->ecmult_gen_ctx, &ctx->ecmult_gen_ctx); +secp256k1_context* secp256k1_context_clone(const secp256k1_context* ctx) { + secp256k1_context* ret = (secp256k1_context*)checked_malloc(&ctx->error_callback, sizeof(secp256k1_context)); + ret->illegal_callback = ctx->illegal_callback; + ret->error_callback = ctx->error_callback; + secp256k1_ecmult_context_clone(&ret->ecmult_ctx, &ctx->ecmult_ctx, &ctx->error_callback); + secp256k1_ecmult_gen_context_clone(&ret->ecmult_gen_ctx, &ctx->ecmult_gen_ctx, &ctx->error_callback); return ret; } -void secp256k1_context_destroy(secp256k1_context_t* ctx) { - secp256k1_ecmult_context_clear(&ctx->ecmult_ctx); - secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx); +void secp256k1_context_destroy(secp256k1_context* ctx) { + if (ctx != NULL) { + secp256k1_ecmult_context_clear(&ctx->ecmult_ctx); + secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx); - free(ctx); + free(ctx); + } } -int secp256k1_ecdsa_verify(const secp256k1_context_t* ctx, const unsigned char *msg32, const unsigned char *sig, int siglen, const unsigned char *pubkey, int pubkeylen) { - secp256k1_ge_t q; - secp256k1_ecdsa_sig_t s; - secp256k1_scalar_t m; - int ret = -3; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); - DEBUG_CHECK(msg32 != NULL); - DEBUG_CHECK(sig != NULL); - DEBUG_CHECK(pubkey != NULL); +void secp256k1_context_set_illegal_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) { + if (fun == NULL) { + fun = default_illegal_callback_fn; + } + ctx->illegal_callback.fn = fun; + ctx->illegal_callback.data = data; +} - secp256k1_scalar_set_b32(&m, msg32, NULL); +void secp256k1_context_set_error_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) { + if (fun == NULL) { + fun = default_error_callback_fn; + } + ctx->error_callback.fn = fun; + ctx->error_callback.data = data; +} - if (secp256k1_eckey_pubkey_parse(&q, pubkey, pubkeylen)) { - if (secp256k1_ecdsa_sig_parse(&s, sig, siglen)) { - if (secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &s, &q, &m)) { - /* success is 1, all other values are fail */ - ret = 1; - } else { - ret = 0; - } - } else { - ret = -2; - } +static int secp256k1_pubkey_load(const secp256k1_context* ctx, secp256k1_ge* ge, const secp256k1_pubkey* pubkey) { + if (sizeof(secp256k1_ge_storage) == 64) { + /* When the secp256k1_ge_storage type is exactly 64 byte, use its + * representation inside secp256k1_pubkey, as conversion is very fast. + * Note that secp256k1_pubkey_save must use the same representation. */ + secp256k1_ge_storage s; + memcpy(&s, &pubkey->data[0], 64); + secp256k1_ge_from_storage(ge, &s); + } else { + /* Otherwise, fall back to 32-byte big endian for X and Y. */ + secp256k1_fe x, y; + secp256k1_fe_set_b32(&x, pubkey->data); + secp256k1_fe_set_b32(&y, pubkey->data + 32); + secp256k1_ge_set_xy(ge, &x, &y); + } + ARG_CHECK(!secp256k1_fe_is_zero(&ge->x)); + return 1; +} + +static void secp256k1_pubkey_save(secp256k1_pubkey* pubkey, secp256k1_ge* ge) { + if (sizeof(secp256k1_ge_storage) == 64) { + secp256k1_ge_storage s; + secp256k1_ge_to_storage(&s, ge); + memcpy(&pubkey->data[0], &s, 64); } else { - ret = -1; + VERIFY_CHECK(!secp256k1_ge_is_infinity(ge)); + secp256k1_fe_normalize_var(&ge->x); + secp256k1_fe_normalize_var(&ge->y); + secp256k1_fe_get_b32(pubkey->data, &ge->x); + secp256k1_fe_get_b32(pubkey->data + 32, &ge->y); } +} + +int secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pubkey* pubkey, const unsigned char *input, size_t inputlen) { + secp256k1_ge Q; + + (void)ctx; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkey != NULL); + memset(pubkey, 0, sizeof(*pubkey)); + ARG_CHECK(input != NULL); + if (!secp256k1_eckey_pubkey_parse(&Q, input, inputlen)) { + return 0; + } + secp256k1_pubkey_save(pubkey, &Q); + secp256k1_ge_clear(&Q); + return 1; +} + +int secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_pubkey* pubkey, unsigned int flags) { + secp256k1_ge Q; + size_t len; + int ret = 0; + (void)ctx; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(outputlen != NULL); + ARG_CHECK(*outputlen >= ((flags & SECP256K1_FLAGS_BIT_COMPRESSION) ? 33 : 65)); + len = *outputlen; + *outputlen = 0; + ARG_CHECK(output != NULL); + memset(output, 0, len); + ARG_CHECK(pubkey != NULL); + ARG_CHECK((flags & SECP256K1_FLAGS_TYPE_MASK) == SECP256K1_FLAGS_TYPE_COMPRESSION); + if (secp256k1_pubkey_load(ctx, &Q, pubkey)) { + ret = secp256k1_eckey_pubkey_serialize(&Q, output, &len, flags & SECP256K1_FLAGS_BIT_COMPRESSION); + if (ret) { + *outputlen = len; + } + } return ret; } -static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, unsigned int counter, const void *data) { - secp256k1_rfc6979_hmac_sha256_t rng; - unsigned int i; - secp256k1_rfc6979_hmac_sha256_initialize(&rng, key32, 32, msg32, 32, (const unsigned char*)data, data != NULL ? 32 : 0); - for (i = 0; i <= counter; i++) { - secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); - } - secp256k1_rfc6979_hmac_sha256_finalize(&rng); - return 1; +static void secp256k1_ecdsa_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_ecdsa_signature* sig) { + (void)ctx; + if (sizeof(secp256k1_scalar) == 32) { + /* When the secp256k1_scalar type is exactly 32 byte, use its + * representation inside secp256k1_ecdsa_signature, as conversion is very fast. + * Note that secp256k1_ecdsa_signature_save must use the same representation. */ + memcpy(r, &sig->data[0], 32); + memcpy(s, &sig->data[32], 32); + } else { + secp256k1_scalar_set_b32(r, &sig->data[0], NULL); + secp256k1_scalar_set_b32(s, &sig->data[32], NULL); + } } -const secp256k1_nonce_function_t secp256k1_nonce_function_rfc6979 = nonce_function_rfc6979; -const secp256k1_nonce_function_t secp256k1_nonce_function_default = nonce_function_rfc6979; +static void secp256k1_ecdsa_signature_save(secp256k1_ecdsa_signature* sig, const secp256k1_scalar* r, const secp256k1_scalar* s) { + if (sizeof(secp256k1_scalar) == 32) { + memcpy(&sig->data[0], r, 32); + memcpy(&sig->data[32], s, 32); + } else { + secp256k1_scalar_get_b32(&sig->data[0], r); + secp256k1_scalar_get_b32(&sig->data[32], s); + } +} -int secp256k1_ecdsa_sign(const secp256k1_context_t* ctx, const unsigned char *msg32, unsigned char *signature, int *signaturelen, const unsigned char *seckey, secp256k1_nonce_function_t noncefp, const void* noncedata) { - secp256k1_ecdsa_sig_t sig; - secp256k1_scalar_t sec, non, msg; - int ret = 0; +int secp256k1_ecdsa_signature_parse_der(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input, size_t inputlen) { + secp256k1_scalar r, s; + + (void)ctx; + ARG_CHECK(sig != NULL); + ARG_CHECK(input != NULL); + + if (secp256k1_ecdsa_sig_parse(&r, &s, input, inputlen)) { + secp256k1_ecdsa_signature_save(sig, &r, &s); + return 1; + } else { + memset(sig, 0, sizeof(*sig)); + return 0; + } +} + +int secp256k1_ecdsa_signature_parse_compact(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input64) { + secp256k1_scalar r, s; + int ret = 1; int overflow = 0; - unsigned int count = 0; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - DEBUG_CHECK(msg32 != NULL); - DEBUG_CHECK(signature != NULL); - DEBUG_CHECK(signaturelen != NULL); - DEBUG_CHECK(seckey != NULL); - if (noncefp == NULL) { - noncefp = secp256k1_nonce_function_default; + + (void)ctx; + ARG_CHECK(sig != NULL); + ARG_CHECK(input64 != NULL); + + secp256k1_scalar_set_b32(&r, &input64[0], &overflow); + ret &= !overflow; + secp256k1_scalar_set_b32(&s, &input64[32], &overflow); + ret &= !overflow; + if (ret) { + secp256k1_ecdsa_signature_save(sig, &r, &s); + } else { + memset(sig, 0, sizeof(*sig)); } + return ret; +} - secp256k1_scalar_set_b32(&sec, seckey, &overflow); - /* Fail if the secret key is invalid. */ - if (!overflow && !secp256k1_scalar_is_zero(&sec)) { - secp256k1_scalar_set_b32(&msg, msg32, NULL); - while (1) { - unsigned char nonce32[32]; - ret = noncefp(nonce32, msg32, seckey, count, noncedata); - if (!ret) { - break; - } - secp256k1_scalar_set_b32(&non, nonce32, &overflow); - memset(nonce32, 0, 32); - if (!secp256k1_scalar_is_zero(&non) && !overflow) { - if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &sig, &sec, &msg, &non, NULL)) { - break; - } - } - count++; - } +int secp256k1_ecdsa_signature_serialize_der(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_ecdsa_signature* sig) { + secp256k1_scalar r, s; + + (void)ctx; + ARG_CHECK(output != NULL); + ARG_CHECK(outputlen != NULL); + ARG_CHECK(sig != NULL); + + secp256k1_ecdsa_signature_load(ctx, &r, &s, sig); + return secp256k1_ecdsa_sig_serialize(output, outputlen, &r, &s); +} + +int secp256k1_ecdsa_signature_serialize_compact(const secp256k1_context* ctx, unsigned char *output64, const secp256k1_ecdsa_signature* sig) { + secp256k1_scalar r, s; + + (void)ctx; + ARG_CHECK(output64 != NULL); + ARG_CHECK(sig != NULL); + + secp256k1_ecdsa_signature_load(ctx, &r, &s, sig); + secp256k1_scalar_get_b32(&output64[0], &r); + secp256k1_scalar_get_b32(&output64[32], &s); + return 1; +} + +int secp256k1_ecdsa_signature_normalize(const secp256k1_context* ctx, secp256k1_ecdsa_signature *sigout, const secp256k1_ecdsa_signature *sigin) { + secp256k1_scalar r, s; + int ret = 0; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(sigin != NULL); + + secp256k1_ecdsa_signature_load(ctx, &r, &s, sigin); + ret = secp256k1_scalar_is_high(&s); + if (sigout != NULL) { if (ret) { - ret = secp256k1_ecdsa_sig_serialize(signature, signaturelen, &sig); + secp256k1_scalar_negate(&s, &s); } - secp256k1_scalar_clear(&msg); - secp256k1_scalar_clear(&non); - secp256k1_scalar_clear(&sec); - } - if (!ret) { - *signaturelen = 0; + secp256k1_ecdsa_signature_save(sigout, &r, &s); } + return ret; } -int secp256k1_ecdsa_sign_compact(const secp256k1_context_t* ctx, const unsigned char *msg32, unsigned char *sig64, const unsigned char *seckey, secp256k1_nonce_function_t noncefp, const void* noncedata, int *recid) { - secp256k1_ecdsa_sig_t sig; - secp256k1_scalar_t sec, non, msg; +int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_signature *sig, const unsigned char *msg32, const secp256k1_pubkey *pubkey) { + secp256k1_ge q; + secp256k1_scalar r, s; + secp256k1_scalar m; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(sig != NULL); + ARG_CHECK(pubkey != NULL); + + secp256k1_scalar_set_b32(&m, msg32, NULL); + secp256k1_ecdsa_signature_load(ctx, &r, &s, sig); + return (!secp256k1_scalar_is_high(&s) && + secp256k1_pubkey_load(ctx, &q, pubkey) && + secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &r, &s, &q, &m)); +} + +static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int counter) { + unsigned char keydata[112]; + int keylen = 64; + secp256k1_rfc6979_hmac_sha256_t rng; + unsigned int i; + /* We feed a byte array to the PRNG as input, consisting of: + * - the private key (32 bytes) and message (32 bytes), see RFC 6979 3.2d. + * - optionally 32 extra bytes of data, see RFC 6979 3.6 Additional Data. + * - optionally 16 extra bytes with the algorithm name. + * Because the arguments have distinct fixed lengths it is not possible for + * different argument mixtures to emulate each other and result in the same + * nonces. + */ + memcpy(keydata, key32, 32); + memcpy(keydata + 32, msg32, 32); + if (data != NULL) { + memcpy(keydata + 64, data, 32); + keylen = 96; + } + if (algo16 != NULL) { + memcpy(keydata + keylen, algo16, 16); + keylen += 16; + } + secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, keylen); + memset(keydata, 0, sizeof(keydata)); + for (i = 0; i <= counter; i++) { + secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); + } + secp256k1_rfc6979_hmac_sha256_finalize(&rng); + return 1; +} + +const secp256k1_nonce_function secp256k1_nonce_function_rfc6979 = nonce_function_rfc6979; +const secp256k1_nonce_function secp256k1_nonce_function_default = nonce_function_rfc6979; + +int secp256k1_ecdsa_sign(const secp256k1_context* ctx, secp256k1_ecdsa_signature *signature, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { + secp256k1_scalar r, s; + secp256k1_scalar sec, non, msg; int ret = 0; int overflow = 0; - unsigned int count = 0; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - DEBUG_CHECK(msg32 != NULL); - DEBUG_CHECK(sig64 != NULL); - DEBUG_CHECK(seckey != NULL); + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(signature != NULL); + ARG_CHECK(seckey != NULL); if (noncefp == NULL) { noncefp = secp256k1_nonce_function_default; } @@ -165,139 +363,87 @@ int secp256k1_ecdsa_sign_compact(const secp256k1_context_t* ctx, const unsigned secp256k1_scalar_set_b32(&sec, seckey, &overflow); /* Fail if the secret key is invalid. */ if (!overflow && !secp256k1_scalar_is_zero(&sec)) { + unsigned int count = 0; secp256k1_scalar_set_b32(&msg, msg32, NULL); while (1) { unsigned char nonce32[32]; - ret = noncefp(nonce32, msg32, seckey, count, noncedata); + ret = noncefp(nonce32, msg32, seckey, NULL, (void*)noncedata, count); if (!ret) { break; } secp256k1_scalar_set_b32(&non, nonce32, &overflow); memset(nonce32, 0, 32); - if (!secp256k1_scalar_is_zero(&non) && !overflow) { - if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &sig, &sec, &msg, &non, recid)) { + if (!overflow && !secp256k1_scalar_is_zero(&non)) { + if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &r, &s, &sec, &msg, &non, NULL)) { break; } } count++; } - if (ret) { - secp256k1_scalar_get_b32(sig64, &sig.r); - secp256k1_scalar_get_b32(sig64 + 32, &sig.s); - } secp256k1_scalar_clear(&msg); secp256k1_scalar_clear(&non); secp256k1_scalar_clear(&sec); } - if (!ret) { - memset(sig64, 0, 64); - } - return ret; -} - -int secp256k1_ecdsa_recover_compact(const secp256k1_context_t* ctx, const unsigned char *msg32, const unsigned char *sig64, unsigned char *pubkey, int *pubkeylen, int compressed, int recid) { - secp256k1_ge_t q; - secp256k1_ecdsa_sig_t sig; - secp256k1_scalar_t m; - int ret = 0; - int overflow = 0; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); - DEBUG_CHECK(msg32 != NULL); - DEBUG_CHECK(sig64 != NULL); - DEBUG_CHECK(pubkey != NULL); - DEBUG_CHECK(pubkeylen != NULL); - DEBUG_CHECK(recid >= 0 && recid <= 3); - - secp256k1_scalar_set_b32(&sig.r, sig64, &overflow); - if (!overflow) { - secp256k1_scalar_set_b32(&sig.s, sig64 + 32, &overflow); - if (!overflow) { - secp256k1_scalar_set_b32(&m, msg32, NULL); - - if (secp256k1_ecdsa_sig_recover(&ctx->ecmult_ctx, &sig, &q, &m, recid)) { - ret = secp256k1_eckey_pubkey_serialize(&q, pubkey, pubkeylen, compressed); - } - } + if (ret) { + secp256k1_ecdsa_signature_save(signature, &r, &s); + } else { + memset(signature, 0, sizeof(*signature)); } return ret; } -int secp256k1_ec_seckey_verify(const secp256k1_context_t* ctx, const unsigned char *seckey) { - secp256k1_scalar_t sec; +int secp256k1_ec_seckey_verify(const secp256k1_context* ctx, const unsigned char *seckey) { + secp256k1_scalar sec; int ret; int overflow; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(seckey != NULL); + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(seckey != NULL); (void)ctx; secp256k1_scalar_set_b32(&sec, seckey, &overflow); - ret = !secp256k1_scalar_is_zero(&sec) && !overflow; + ret = !overflow && !secp256k1_scalar_is_zero(&sec); secp256k1_scalar_clear(&sec); return ret; } -int secp256k1_ec_pubkey_verify(const secp256k1_context_t* ctx, const unsigned char *pubkey, int pubkeylen) { - secp256k1_ge_t q; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(pubkey != NULL); - (void)ctx; - - return secp256k1_eckey_pubkey_parse(&q, pubkey, pubkeylen); -} - -int secp256k1_ec_pubkey_create(const secp256k1_context_t* ctx, unsigned char *pubkey, int *pubkeylen, const unsigned char *seckey, int compressed) { - secp256k1_gej_t pj; - secp256k1_ge_t p; - secp256k1_scalar_t sec; +int secp256k1_ec_pubkey_create(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *seckey) { + secp256k1_gej pj; + secp256k1_ge p; + secp256k1_scalar sec; int overflow; int ret = 0; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - DEBUG_CHECK(pubkey != NULL); - DEBUG_CHECK(pubkeylen != NULL); - DEBUG_CHECK(seckey != NULL); + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkey != NULL); + memset(pubkey, 0, sizeof(*pubkey)); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(seckey != NULL); secp256k1_scalar_set_b32(&sec, seckey, &overflow); - if (!overflow) { + ret = (!overflow) & (!secp256k1_scalar_is_zero(&sec)); + if (ret) { secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pj, &sec); - secp256k1_scalar_clear(&sec); secp256k1_ge_set_gej(&p, &pj); - ret = secp256k1_eckey_pubkey_serialize(&p, pubkey, pubkeylen, compressed); - } - if (!ret) { - *pubkeylen = 0; - } - return ret; -} - -int secp256k1_ec_pubkey_decompress(const secp256k1_context_t* ctx, unsigned char *pubkey, int *pubkeylen) { - secp256k1_ge_t p; - int ret = 0; - DEBUG_CHECK(pubkey != NULL); - DEBUG_CHECK(pubkeylen != NULL); - (void)ctx; - - if (secp256k1_eckey_pubkey_parse(&p, pubkey, *pubkeylen)) { - ret = secp256k1_eckey_pubkey_serialize(&p, pubkey, pubkeylen, 0); + secp256k1_pubkey_save(pubkey, &p); } + secp256k1_scalar_clear(&sec); return ret; } -int secp256k1_ec_privkey_tweak_add(const secp256k1_context_t* ctx, unsigned char *seckey, const unsigned char *tweak) { - secp256k1_scalar_t term; - secp256k1_scalar_t sec; +int secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) { + secp256k1_scalar term; + secp256k1_scalar sec; int ret = 0; int overflow = 0; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(seckey != NULL); - DEBUG_CHECK(tweak != NULL); + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(seckey != NULL); + ARG_CHECK(tweak != NULL); (void)ctx; secp256k1_scalar_set_b32(&term, tweak, &overflow); secp256k1_scalar_set_b32(&sec, seckey, NULL); - ret = secp256k1_eckey_privkey_tweak_add(&sec, &term) && !overflow; + ret = !overflow && secp256k1_eckey_privkey_tweak_add(&sec, &term); + memset(seckey, 0, 32); if (ret) { secp256k1_scalar_get_b32(seckey, &sec); } @@ -307,45 +453,44 @@ int secp256k1_ec_privkey_tweak_add(const secp256k1_context_t* ctx, unsigned char return ret; } -int secp256k1_ec_pubkey_tweak_add(const secp256k1_context_t* ctx, unsigned char *pubkey, int pubkeylen, const unsigned char *tweak) { - secp256k1_ge_t p; - secp256k1_scalar_t term; +int secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak) { + secp256k1_ge p; + secp256k1_scalar term; int ret = 0; int overflow = 0; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); - DEBUG_CHECK(pubkey != NULL); - DEBUG_CHECK(tweak != NULL); + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(tweak != NULL); secp256k1_scalar_set_b32(&term, tweak, &overflow); - if (!overflow) { - ret = secp256k1_eckey_pubkey_parse(&p, pubkey, pubkeylen); - if (ret) { - ret = secp256k1_eckey_pubkey_tweak_add(&ctx->ecmult_ctx, &p, &term); - } - if (ret) { - int oldlen = pubkeylen; - ret = secp256k1_eckey_pubkey_serialize(&p, pubkey, &pubkeylen, oldlen <= 33); - VERIFY_CHECK(pubkeylen == oldlen); + ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey); + memset(pubkey, 0, sizeof(*pubkey)); + if (ret) { + if (secp256k1_eckey_pubkey_tweak_add(&ctx->ecmult_ctx, &p, &term)) { + secp256k1_pubkey_save(pubkey, &p); + } else { + ret = 0; } } return ret; } -int secp256k1_ec_privkey_tweak_mul(const secp256k1_context_t* ctx, unsigned char *seckey, const unsigned char *tweak) { - secp256k1_scalar_t factor; - secp256k1_scalar_t sec; +int secp256k1_ec_privkey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) { + secp256k1_scalar factor; + secp256k1_scalar sec; int ret = 0; int overflow = 0; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(seckey != NULL); - DEBUG_CHECK(tweak != NULL); + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(seckey != NULL); + ARG_CHECK(tweak != NULL); (void)ctx; secp256k1_scalar_set_b32(&factor, tweak, &overflow); secp256k1_scalar_set_b32(&sec, seckey, NULL); - ret = secp256k1_eckey_privkey_tweak_mul(&sec, &factor) && !overflow; + ret = !overflow && secp256k1_eckey_privkey_tweak_mul(&sec, &factor); + memset(seckey, 0, 32); if (ret) { secp256k1_scalar_get_b32(seckey, &sec); } @@ -355,65 +500,69 @@ int secp256k1_ec_privkey_tweak_mul(const secp256k1_context_t* ctx, unsigned char return ret; } -int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context_t* ctx, unsigned char *pubkey, int pubkeylen, const unsigned char *tweak) { - secp256k1_ge_t p; - secp256k1_scalar_t factor; +int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak) { + secp256k1_ge p; + secp256k1_scalar factor; int ret = 0; int overflow = 0; - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); - DEBUG_CHECK(pubkey != NULL); - DEBUG_CHECK(tweak != NULL); + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(tweak != NULL); secp256k1_scalar_set_b32(&factor, tweak, &overflow); - if (!overflow) { - ret = secp256k1_eckey_pubkey_parse(&p, pubkey, pubkeylen); - if (ret) { - ret = secp256k1_eckey_pubkey_tweak_mul(&ctx->ecmult_ctx, &p, &factor); - } - if (ret) { - int oldlen = pubkeylen; - ret = secp256k1_eckey_pubkey_serialize(&p, pubkey, &pubkeylen, oldlen <= 33); - VERIFY_CHECK(pubkeylen == oldlen); + ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey); + memset(pubkey, 0, sizeof(*pubkey)); + if (ret) { + if (secp256k1_eckey_pubkey_tweak_mul(&ctx->ecmult_ctx, &p, &factor)) { + secp256k1_pubkey_save(pubkey, &p); + } else { + ret = 0; } } return ret; } -int secp256k1_ec_privkey_export(const secp256k1_context_t* ctx, const unsigned char *seckey, unsigned char *privkey, int *privkeylen, int compressed) { - secp256k1_scalar_t key; - int ret = 0; - DEBUG_CHECK(seckey != NULL); - DEBUG_CHECK(privkey != NULL); - DEBUG_CHECK(privkeylen != NULL); - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - - secp256k1_scalar_set_b32(&key, seckey, NULL); - ret = secp256k1_eckey_privkey_serialize(&ctx->ecmult_gen_ctx, privkey, privkeylen, &key, compressed); - secp256k1_scalar_clear(&key); - return ret; +int secp256k1_context_randomize(secp256k1_context* ctx, const unsigned char *seed32) { + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, seed32); + return 1; } -int secp256k1_ec_privkey_import(const secp256k1_context_t* ctx, unsigned char *seckey, const unsigned char *privkey, int privkeylen) { - secp256k1_scalar_t key; - int ret = 0; - DEBUG_CHECK(seckey != NULL); - DEBUG_CHECK(privkey != NULL); - (void)ctx; +int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey *pubnonce, const secp256k1_pubkey * const *pubnonces, size_t n) { + size_t i; + secp256k1_gej Qj; + secp256k1_ge Q; - ret = secp256k1_eckey_privkey_parse(&key, privkey, privkeylen); - if (ret) { - secp256k1_scalar_get_b32(seckey, &key); - } - secp256k1_scalar_clear(&key); - return ret; -} + ARG_CHECK(pubnonce != NULL); + memset(pubnonce, 0, sizeof(*pubnonce)); + ARG_CHECK(n >= 1); + ARG_CHECK(pubnonces != NULL); -int secp256k1_context_randomize(secp256k1_context_t* ctx, const unsigned char *seed32) { - DEBUG_CHECK(ctx != NULL); - DEBUG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, seed32); + secp256k1_gej_set_infinity(&Qj); + + for (i = 0; i < n; i++) { + secp256k1_pubkey_load(ctx, &Q, pubnonces[i]); + secp256k1_gej_add_ge(&Qj, &Qj, &Q); + } + if (secp256k1_gej_is_infinity(&Qj)) { + return 0; + } + secp256k1_ge_set_gej(&Q, &Qj); + secp256k1_pubkey_save(pubnonce, &Q); return 1; } + +#ifdef ENABLE_MODULE_ECDH +# include "modules/ecdh/main_impl.h" +#endif + +#ifdef ENABLE_MODULE_SCHNORR +# include "modules/schnorr/main_impl.h" +#endif + +#ifdef ENABLE_MODULE_RECOVERY +# include "modules/recovery/main_impl.h" +#endif diff --git a/src/testrand.h b/src/testrand.h index 041bb92c47..f8efa93c7c 100644 --- a/src/testrand.h +++ b/src/testrand.h @@ -16,13 +16,23 @@ /** Seed the pseudorandom number generator for testing. */ SECP256K1_INLINE static void secp256k1_rand_seed(const unsigned char *seed16); -/** Generate a pseudorandom 32-bit number. */ +/** Generate a pseudorandom number in the range [0..2**32-1]. */ static uint32_t secp256k1_rand32(void); +/** Generate a pseudorandom number in the range [0..2**bits-1]. Bits must be 1 or + * more. */ +static uint32_t secp256k1_rand_bits(int bits); + +/** Generate a pseudorandom number in the range [0..range-1]. */ +static uint32_t secp256k1_rand_int(uint32_t range); + /** Generate a pseudorandom 32-byte array. */ static void secp256k1_rand256(unsigned char *b32); /** Generate a pseudorandom 32-byte array with long sequences of zero and one bits. */ static void secp256k1_rand256_test(unsigned char *b32); +/** Generate pseudorandom bytes with long sequences of zero and one bits. */ +static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len); + #endif diff --git a/src/testrand_impl.h b/src/testrand_impl.h index 21c69f1c51..15c7b9f12d 100644 --- a/src/testrand_impl.h +++ b/src/testrand_impl.h @@ -1,5 +1,5 @@ /********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * + * Copyright (c) 2013-2015 Pieter Wuille * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ @@ -16,9 +16,11 @@ static secp256k1_rfc6979_hmac_sha256_t secp256k1_test_rng; static uint32_t secp256k1_test_rng_precomputed[8]; static int secp256k1_test_rng_precomputed_used = 8; +static uint64_t secp256k1_test_rng_integer; +static int secp256k1_test_rng_integer_bits_left = 0; SECP256K1_INLINE static void secp256k1_rand_seed(const unsigned char *seed16) { - secp256k1_rfc6979_hmac_sha256_initialize(&secp256k1_test_rng, (const unsigned char*)"TestRNG", 7, seed16, 16, NULL, 0); + secp256k1_rfc6979_hmac_sha256_initialize(&secp256k1_test_rng, seed16, 16); } SECP256K1_INLINE static uint32_t secp256k1_rand32(void) { @@ -29,32 +31,80 @@ SECP256K1_INLINE static uint32_t secp256k1_rand32(void) { return secp256k1_test_rng_precomputed[secp256k1_test_rng_precomputed_used++]; } +static uint32_t secp256k1_rand_bits(int bits) { + uint32_t ret; + if (secp256k1_test_rng_integer_bits_left < bits) { + secp256k1_test_rng_integer |= (((uint64_t)secp256k1_rand32()) << secp256k1_test_rng_integer_bits_left); + secp256k1_test_rng_integer_bits_left += 32; + } + ret = secp256k1_test_rng_integer; + secp256k1_test_rng_integer >>= bits; + secp256k1_test_rng_integer_bits_left -= bits; + ret &= ((~((uint32_t)0)) >> (32 - bits)); + return ret; +} + +static uint32_t secp256k1_rand_int(uint32_t range) { + /* We want a uniform integer between 0 and range-1, inclusive. + * B is the smallest number such that range <= 2**B. + * two mechanisms implemented here: + * - generate B bits numbers until one below range is found, and return it + * - find the largest multiple M of range that is <= 2**(B+A), generate B+A + * bits numbers until one below M is found, and return it modulo range + * The second mechanism consumes A more bits of entropy in every iteration, + * but may need fewer iterations due to M being closer to 2**(B+A) then + * range is to 2**B. The array below (indexed by B) contains a 0 when the + * first mechanism is to be used, and the number A otherwise. + */ + static const int addbits[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0}; + uint32_t trange, mult; + int bits = 0; + if (range <= 1) { + return 0; + } + trange = range - 1; + while (trange > 0) { + trange >>= 1; + bits++; + } + if (addbits[bits]) { + bits = bits + addbits[bits]; + mult = ((~((uint32_t)0)) >> (32 - bits)) / range; + trange = range * mult; + } else { + trange = range; + mult = 1; + } + while(1) { + uint32_t x = secp256k1_rand_bits(bits); + if (x < trange) { + return (mult == 1) ? x : (x % range); + } + } +} + static void secp256k1_rand256(unsigned char *b32) { secp256k1_rfc6979_hmac_sha256_generate(&secp256k1_test_rng, b32, 32); } -static void secp256k1_rand256_test(unsigned char *b32) { - int bits=0; - uint64_t ent = 0; - int entleft = 0; - memset(b32, 0, 32); - while (bits < 256) { +static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len) { + size_t bits = 0; + memset(bytes, 0, len); + while (bits < len * 8) { int now; uint32_t val; - if (entleft < 12) { - ent |= ((uint64_t)secp256k1_rand32()) << entleft; - entleft += 32; - } - now = 1 + ((ent % 64)*((ent >> 6) % 32)+16)/31; - val = 1 & (ent >> 11); - ent >>= 12; - entleft -= 12; - while (now > 0 && bits < 256) { - b32[bits / 8] |= val << (bits % 8); + now = 1 + (secp256k1_rand_bits(6) * secp256k1_rand_bits(5) + 16) / 31; + val = secp256k1_rand_bits(1); + while (now > 0 && bits < len * 8) { + bytes[bits / 8] |= val << (bits % 8); now--; bits++; } } } +static void secp256k1_rand256_test(unsigned char *b32) { + secp256k1_rand_bytes_test(b32, 32); +} + #endif diff --git a/src/tests.c b/src/tests.c index d0e05057f2..687a5f2fdd 100644 --- a/src/tests.c +++ b/src/tests.c @@ -14,6 +14,7 @@ #include <time.h> #include "secp256k1.c" +#include "include/secp256k1.h" #include "testrand_impl.h" #ifdef ENABLE_OPENSSL_TESTS @@ -23,10 +24,40 @@ #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_t *ctx = NULL; +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)++; +} -void random_field_element_test(secp256k1_fe_t *fe) { +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); @@ -36,9 +67,9 @@ void random_field_element_test(secp256k1_fe_t *fe) { } while(1); } -void random_field_element_magnitude(secp256k1_fe_t *fe) { - secp256k1_fe_t zero; - int n = secp256k1_rand32() % 9; +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; @@ -47,23 +78,22 @@ void random_field_element_magnitude(secp256k1_fe_t *fe) { secp256k1_fe_negate(&zero, &zero, 0); secp256k1_fe_mul_int(&zero, n - 1); secp256k1_fe_add(fe, &zero); -#ifdef VERIFY - CHECK(fe->magnitude == n); -#endif + VERIFY_CHECK(fe->magnitude == n); } -void random_group_element_test(secp256k1_ge_t *ge) { - secp256k1_fe_t fe; +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)) { + 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_t *gej, const secp256k1_ge_t *ge) { - secp256k1_fe_t z2, z3; +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)) { @@ -77,7 +107,7 @@ void random_group_element_jacobian_test(secp256k1_gej_t *gej, const secp256k1_ge gej->infinity = ge->infinity; } -void random_scalar_order_test(secp256k1_scalar_t *num) { +void random_scalar_order_test(secp256k1_scalar *num) { do { unsigned char b32[32]; int overflow = 0; @@ -90,7 +120,7 @@ void random_scalar_order_test(secp256k1_scalar_t *num) { } while(1); } -void random_scalar_order(secp256k1_scalar_t *num) { +void random_scalar_order(secp256k1_scalar *num) { do { unsigned char b32[32]; int overflow = 0; @@ -104,19 +134,31 @@ void random_scalar_order(secp256k1_scalar_t *num) { } void run_context_tests(void) { - secp256k1_context_t *none = secp256k1_context_create(0); - secp256k1_context_t *sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); - secp256k1_context_t *vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); - secp256k1_context_t *both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - - secp256k1_gej_t pubj; - secp256k1_ge_t pub; - secp256k1_scalar_t msg, key, nonce; - secp256k1_ecdsa_sig_t sig; + 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_t *ctx_tmp; + 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); @@ -124,30 +166,74 @@ void run_context_tests(void) { 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, &sig, &key, &msg, &nonce, NULL)); + } 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, &sig, &key, &msg, &nonce, NULL)); - CHECK(secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sig, &key, &msg, &nonce, NULL)); + 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, &sig, &pub, &msg)); - CHECK(secp256k1_ecdsa_sig_verify(&both->ecmult_ctx, &sig, &pub, &msg)); + 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 *****/ @@ -178,7 +264,7 @@ void run_sha256_tests(void) { secp256k1_sha256_finalize(&hasher, out); CHECK(memcmp(out, outputs[i], 32) == 0); if (strlen(inputs[i]) > 0) { - int split = secp256k1_rand32() % strlen(inputs[i]); + 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); @@ -222,7 +308,7 @@ void run_hmac_sha256_tests(void) { 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]); + 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); @@ -233,16 +319,14 @@ void run_hmac_sha256_tests(void) { } void run_rfc6979_hmac_sha256_tests(void) { - static const unsigned char key1[32] = {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}; - static const unsigned char msg1[32] = {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}; + 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[32] = {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}; - static const unsigned char msg2[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}; + 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}, @@ -251,24 +335,23 @@ void run_rfc6979_hmac_sha256_tests(void) { secp256k1_rfc6979_hmac_sha256_t rng; unsigned char out[32]; - unsigned char zero[1] = {0}; int i; - secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 32, msg1, 32, NULL, 1); + 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, 32, msg1, 32, zero, 1); + 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, 32, msg2, 32, zero, 0); + 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); @@ -276,30 +359,102 @@ void run_rfc6979_hmac_sha256_tests(void) { 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_t *num) { - if (secp256k1_rand32() & 1) { +void random_num_negate(secp256k1_num *num) { + if (secp256k1_rand_bits(1)) { secp256k1_num_negate(num); } } -void random_num_order_test(secp256k1_num_t *num) { - secp256k1_scalar_t sc; +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_t *num) { - secp256k1_scalar_t 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_t n1; - secp256k1_num_t n2; + secp256k1_num n1; + secp256k1_num n2; random_num_order_test(&n1); /* n1 = R */ random_num_negate(&n1); secp256k1_num_copy(&n2, &n1); /* n2 = R */ @@ -318,16 +473,15 @@ void test_num_negate(void) { } void test_num_add_sub(void) { - secp256k1_num_t n1; - secp256k1_num_t n2; - secp256k1_num_t n1p2, n2p1, n1m2, n2m1; - int r = secp256k1_rand32(); + secp256k1_num n1; + secp256k1_num n2; + secp256k1_num n1p2, n2p1, n1m2, n2m1; random_num_order_test(&n1); /* n1 = R1 */ - if (r & 1) { + if (secp256k1_rand_bits(1)) { random_num_negate(&n1); } random_num_order_test(&n2); /* n2 = R2 */ - if (r & 2) { + if (secp256k1_rand_bits(1)) { random_num_negate(&n2); } secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = R1 + R2 */ @@ -358,12 +512,12 @@ void run_num_smalltests(void) { /***** SCALAR TESTS *****/ void scalar_test(void) { - secp256k1_scalar_t s; - secp256k1_scalar_t s1; - secp256k1_scalar_t s2; + secp256k1_scalar s; + secp256k1_scalar s1; + secp256k1_scalar s2; #ifndef USE_NUM_NONE - secp256k1_num_t snum, s1num, s2num; - secp256k1_num_t order, half_order; + secp256k1_num snum, s1num, s2num; + secp256k1_num order, half_order; #endif unsigned char c[32]; @@ -390,10 +544,10 @@ void scalar_test(void) { { 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_t n; + secp256k1_scalar n; secp256k1_scalar_set_int(&n, 0); for (i = 0; i < 256; i += 4) { - secp256k1_scalar_t t; + 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++) { @@ -406,13 +560,13 @@ void scalar_test(void) { { /* 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_t n; + secp256k1_scalar n; int i = 0; secp256k1_scalar_set_int(&n, 0); while (i < 256) { - secp256k1_scalar_t t; + secp256k1_scalar t; int j; - int now = (secp256k1_rand32() % 15) + 1; + int now = secp256k1_rand_int(15) + 1; if (now + i > 256) { now = 256 - i; } @@ -429,9 +583,9 @@ void scalar_test(void) { #ifndef USE_NUM_NONE { /* Test that adding the scalars together is equal to adding their numbers together modulo the order. */ - secp256k1_num_t rnum; - secp256k1_num_t r2num; - secp256k1_scalar_t r; + 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); @@ -440,10 +594,10 @@ void scalar_test(void) { } { - /* Test that multipying the scalars is equal to multiplying their numbers modulo the order. */ - secp256k1_scalar_t r; - secp256k1_num_t r2num; - secp256k1_num_t rnum; + /* 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); @@ -457,9 +611,9 @@ void scalar_test(void) { } { - secp256k1_scalar_t neg; - secp256k1_num_t negnum; - secp256k1_num_t negnum2; + 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. */ @@ -484,12 +638,12 @@ void scalar_test(void) { { /* Test secp256k1_scalar_mul_shift_var. */ - secp256k1_scalar_t r; - secp256k1_num_t one; - secp256k1_num_t rnum; - secp256k1_num_t rnum2; + secp256k1_scalar r; + secp256k1_num one; + secp256k1_num rnum; + secp256k1_num rnum2; unsigned char cone[1] = {0x01}; - unsigned int shift = 256 + (secp256k1_rand32() % 257); + 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); @@ -499,15 +653,29 @@ void scalar_test(void) { 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_t inv; + secp256k1_scalar inv; #ifndef USE_NUM_NONE - secp256k1_num_t invnum; - secp256k1_num_t invnum2; + secp256k1_num invnum; + secp256k1_num invnum2; #endif secp256k1_scalar_inverse(&inv, &s); #ifndef USE_NUM_NONE @@ -526,18 +694,18 @@ void scalar_test(void) { { /* Test commutativity of add. */ - secp256k1_scalar_t r1, r2; + secp256k1_scalar r1, r2; secp256k1_scalar_add(&r1, &s1, &s2); secp256k1_scalar_add(&r2, &s2, &s1); CHECK(secp256k1_scalar_eq(&r1, &r2)); } { - secp256k1_scalar_t r1, r2; - secp256k1_scalar_t b; + secp256k1_scalar r1, r2; + secp256k1_scalar b; int i; /* Test add_bit. */ - int bit = secp256k1_rand32() % 256; + int bit = secp256k1_rand_bits(8); secp256k1_scalar_set_int(&b, 1); CHECK(secp256k1_scalar_is_one(&b)); for (i = 0; i < bit; i++) { @@ -547,14 +715,17 @@ void scalar_test(void) { r2 = s1; if (!secp256k1_scalar_add(&r1, &r1, &b)) { /* No overflow happened. */ - secp256k1_scalar_add_bit(&r2, bit); + 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_t r1, r2; + secp256k1_scalar r1, r2; secp256k1_scalar_mul(&r1, &s1, &s2); secp256k1_scalar_mul(&r2, &s2, &s1); CHECK(secp256k1_scalar_eq(&r1, &r2)); @@ -562,7 +733,7 @@ void scalar_test(void) { { /* Test associativity of add. */ - secp256k1_scalar_t r1, r2; + secp256k1_scalar r1, r2; secp256k1_scalar_add(&r1, &s1, &s2); secp256k1_scalar_add(&r1, &r1, &s); secp256k1_scalar_add(&r2, &s2, &s); @@ -572,7 +743,7 @@ void scalar_test(void) { { /* Test associativity of mul. */ - secp256k1_scalar_t r1, r2; + secp256k1_scalar r1, r2; secp256k1_scalar_mul(&r1, &s1, &s2); secp256k1_scalar_mul(&r1, &r1, &s); secp256k1_scalar_mul(&r2, &s2, &s); @@ -582,7 +753,7 @@ void scalar_test(void) { { /* Test distributitivity of mul over add. */ - secp256k1_scalar_t r1, r2, t; + secp256k1_scalar r1, r2, t; secp256k1_scalar_add(&r1, &s1, &s2); secp256k1_scalar_mul(&r1, &r1, &s); secp256k1_scalar_mul(&r2, &s1, &s); @@ -593,7 +764,7 @@ void scalar_test(void) { { /* Test square. */ - secp256k1_scalar_t r1, r2; + secp256k1_scalar r1, r2; secp256k1_scalar_sqr(&r1, &s1); secp256k1_scalar_mul(&r2, &s1, &s1); CHECK(secp256k1_scalar_eq(&r1, &r2)); @@ -601,7 +772,7 @@ void scalar_test(void) { { /* Test multiplicative identity. */ - secp256k1_scalar_t r1, v1; + secp256k1_scalar r1, v1; secp256k1_scalar_set_int(&v1,1); secp256k1_scalar_mul(&r1, &s1, &v1); CHECK(secp256k1_scalar_eq(&r1, &s1)); @@ -609,7 +780,7 @@ void scalar_test(void) { { /* Test additive identity. */ - secp256k1_scalar_t r1, v0; + secp256k1_scalar r1, v0; secp256k1_scalar_set_int(&v0,0); secp256k1_scalar_add(&r1, &s1, &v0); CHECK(secp256k1_scalar_eq(&r1, &s1)); @@ -617,7 +788,7 @@ void scalar_test(void) { { /* Test zero product property. */ - secp256k1_scalar_t r1, v0; + secp256k1_scalar r1, v0; secp256k1_scalar_set_int(&v0,0); secp256k1_scalar_mul(&r1, &s1, &v0); CHECK(secp256k1_scalar_eq(&r1, &v0)); @@ -633,7 +804,7 @@ void run_scalar_tests(void) { { /* (-1)+1 should be zero. */ - secp256k1_scalar_t s, o; + secp256k1_scalar s, o; secp256k1_scalar_set_int(&s, 1); CHECK(secp256k1_scalar_is_one(&s)); secp256k1_scalar_negate(&o, &s); @@ -646,8 +817,8 @@ void run_scalar_tests(void) { #ifndef USE_NUM_NONE { /* A scalar with value of the curve order should be 0. */ - secp256k1_num_t order; - secp256k1_scalar_t zero; + secp256k1_num order; + secp256k1_scalar zero; unsigned char bin[32]; int overflow = 0; secp256k1_scalar_order_get_num(&order); @@ -657,11 +828,589 @@ void run_scalar_tests(void) { 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[32][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}} + }; + unsigned char res[32][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, + 0x60, 0x20, 0x10, 0x0d, 0x94, 0x2d, 0x11, 0x7c}, + {0xcc, 0xab, 0xe0, 0xe8, 0x98, 0x65, 0x12, 0x96, + 0x38, 0x5a, 0x1a, 0xf2, 0x85, 0x23, 0x59, 0x5f, + 0xf9, 0xf3, 0xc2, 0x81, 0x70, 0x92, 0x65, 0x12, + 0x9c, 0x65, 0x1e, 0x96, 0x00, 0xef, 0xe7, 0x63}}, + {{0xac, 0x1e, 0x62, 0xc2, 0x59, 0xfc, 0x4e, 0x5c, + 0x83, 0xb0, 0xd0, 0x6f, 0xce, 0x19, 0xf6, 0xbf, + 0xa4, 0xb0, 0xe0, 0x53, 0x66, 0x1f, 0xbf, 0xc9, + 0x33, 0x47, 0x37, 0xa9, 0x3d, 0x5d, 0xb0, 0x48}, + {0x86, 0xb9, 0x2a, 0x7f, 0x8e, 0xa8, 0x60, 0x42, + 0x26, 0x6d, 0x6e, 0x1c, 0xa2, 0xec, 0xe0, 0xe5, + 0x3e, 0x0a, 0x33, 0xbb, 0x61, 0x4c, 0x9f, 0x3c, + 0xd1, 0xdf, 0x49, 0x33, 0xcd, 0x72, 0x78, 0x18}}, + {{0xf7, 0xd3, 0xcd, 0x49, 0x5c, 0x13, 0x22, 0xfb, + 0x2e, 0xb2, 0x2f, 0x27, 0xf5, 0x8a, 0x5d, 0x74, + 0xc1, 0x58, 0xc5, 0xc2, 0x2d, 0x9f, 0x52, 0xc6, + 0x63, 0x9f, 0xba, 0x05, 0x76, 0x45, 0x7a, 0x63}, + {0x8a, 0xfa, 0x55, 0x4d, 0xdd, 0xa3, 0xb2, 0xc3, + 0x44, 0xfd, 0xec, 0x72, 0xde, 0xef, 0xc0, 0x99, + 0xf5, 0x9f, 0xe2, 0x52, 0xb4, 0x05, 0x32, 0x58, + 0x57, 0xc1, 0x8f, 0xea, 0xc3, 0x24, 0x5b, 0x94}}, + {{0x05, 0x83, 0xee, 0xdd, 0x64, 0xf0, 0x14, 0x3b, + 0xa0, 0x14, 0x4a, 0x3a, 0x41, 0x82, 0x7c, 0xa7, + 0x2c, 0xaa, 0xb1, 0x76, 0xbb, 0x59, 0x64, 0x5f, + 0x52, 0xad, 0x25, 0x29, 0x9d, 0x8f, 0x0b, 0xb0}, + {0x7e, 0xe3, 0x7c, 0xca, 0xcd, 0x4f, 0xb0, 0x6d, + 0x7a, 0xb2, 0x3e, 0xa0, 0x08, 0xb9, 0xa8, 0x2d, + 0xc2, 0xf4, 0x99, 0x66, 0xcc, 0xac, 0xd8, 0xb9, + 0x72, 0x2a, 0x4a, 0x3e, 0x0f, 0x7b, 0xbf, 0xf4}}, + {{0x8c, 0x9c, 0x78, 0x2b, 0x39, 0x61, 0x7e, 0xf7, + 0x65, 0x37, 0x66, 0x09, 0x38, 0xb9, 0x6f, 0x70, + 0x78, 0x87, 0xff, 0xcf, 0x93, 0xca, 0x85, 0x06, + 0x44, 0x84, 0xa7, 0xfe, 0xd3, 0xa4, 0xe3, 0x7e}, + {0xa2, 0x56, 0x49, 0x23, 0x54, 0xa5, 0x50, 0xe9, + 0x5f, 0xf0, 0x4d, 0xe7, 0xdc, 0x38, 0x32, 0x79, + 0x4f, 0x1c, 0xb7, 0xe4, 0xbb, 0xf8, 0xbb, 0x2e, + 0x40, 0x41, 0x4b, 0xcc, 0xe3, 0x1e, 0x16, 0x36}}, + {{0x0c, 0x1e, 0xd7, 0x09, 0x25, 0x40, 0x97, 0xcb, + 0x5c, 0x46, 0xa8, 0xda, 0xef, 0x25, 0xd5, 0xe5, + 0x92, 0x4d, 0xcf, 0xa3, 0xc4, 0x5d, 0x35, 0x4a, + 0xe4, 0x61, 0x92, 0xf3, 0xbf, 0x0e, 0xcd, 0xbe}, + {0xe4, 0xaf, 0x0a, 0xb3, 0x30, 0x8b, 0x9b, 0x48, + 0x49, 0x43, 0xc7, 0x64, 0x60, 0x4a, 0x2b, 0x9e, + 0x95, 0x5f, 0x56, 0xe8, 0x35, 0xdc, 0xeb, 0xdc, + 0xc7, 0xc4, 0xfe, 0x30, 0x40, 0xc7, 0xbf, 0xa4}}, + {{0xd4, 0xa0, 0xf5, 0x81, 0x49, 0x6b, 0xb6, 0x8b, + 0x0a, 0x69, 0xf9, 0xfe, 0xa8, 0x32, 0xe5, 0xe0, + 0xa5, 0xcd, 0x02, 0x53, 0xf9, 0x2c, 0xe3, 0x53, + 0x83, 0x36, 0xc6, 0x02, 0xb5, 0xeb, 0x64, 0xb8}, + {0x1d, 0x42, 0xb9, 0xf9, 0xe9, 0xe3, 0x93, 0x2c, + 0x4c, 0xee, 0x6c, 0x5a, 0x47, 0x9e, 0x62, 0x01, + 0x6b, 0x04, 0xfe, 0xa4, 0x30, 0x2b, 0x0d, 0x4f, + 0x71, 0x10, 0xd3, 0x55, 0xca, 0xf3, 0x5e, 0x80}}, + {{0x77, 0x05, 0xf6, 0x0c, 0x15, 0x9b, 0x45, 0xe7, + 0xb9, 0x11, 0xb8, 0xf5, 0xd6, 0xda, 0x73, 0x0c, + 0xda, 0x92, 0xea, 0xd0, 0x9d, 0xd0, 0x18, 0x92, + 0xce, 0x9a, 0xaa, 0xee, 0x0f, 0xef, 0xde, 0x30}, + {0xf1, 0xf1, 0xd6, 0x9b, 0x51, 0xd7, 0x77, 0x62, + 0x52, 0x10, 0xb8, 0x7a, 0x84, 0x9d, 0x15, 0x4e, + 0x07, 0xdc, 0x1e, 0x75, 0x0d, 0x0c, 0x3b, 0xdb, + 0x74, 0x58, 0x62, 0x02, 0x90, 0x54, 0x8b, 0x43}}, + {{0xa6, 0xfe, 0x0b, 0x87, 0x80, 0x43, 0x67, 0x25, + 0x57, 0x5d, 0xec, 0x40, 0x50, 0x08, 0xd5, 0x5d, + 0x43, 0xd7, 0xe0, 0xaa, 0xe0, 0x13, 0xb6, 0xb0, + 0xc0, 0xd4, 0xe5, 0x0d, 0x45, 0x83, 0xd6, 0x13}, + {0x40, 0x45, 0x0a, 0x92, 0x31, 0xea, 0x8c, 0x60, + 0x8c, 0x1f, 0xd8, 0x76, 0x45, 0xb9, 0x29, 0x00, + 0x26, 0x32, 0xd8, 0xa6, 0x96, 0x88, 0xe2, 0xc4, + 0x8b, 0xdb, 0x7f, 0x17, 0x87, 0xcc, 0xc8, 0xf2}}, + {{0xc2, 0x56, 0xe2, 0xb6, 0x1a, 0x81, 0xe7, 0x31, + 0x63, 0x2e, 0xbb, 0x0d, 0x2f, 0x81, 0x67, 0xd4, + 0x22, 0xe2, 0x38, 0x02, 0x25, 0x97, 0xc7, 0x88, + 0x6e, 0xdf, 0xbe, 0x2a, 0xa5, 0x73, 0x63, 0xaa}, + {0x50, 0x45, 0xe2, 0xc3, 0xbd, 0x89, 0xfc, 0x57, + 0xbd, 0x3c, 0xa3, 0x98, 0x7e, 0x7f, 0x36, 0x38, + 0x92, 0x39, 0x1f, 0x0f, 0x81, 0x1a, 0x06, 0x51, + 0x1f, 0x8d, 0x6a, 0xff, 0x47, 0x16, 0x06, 0x9c}}, + {{0x33, 0x95, 0xa2, 0x6f, 0x27, 0x5f, 0x9c, 0x9c, + 0x64, 0x45, 0xcb, 0xd1, 0x3c, 0xee, 0x5e, 0x5f, + 0x48, 0xa6, 0xaf, 0xe3, 0x79, 0xcf, 0xb1, 0xe2, + 0xbf, 0x55, 0x0e, 0xa2, 0x3b, 0x62, 0xf0, 0xe4}, + {0x14, 0xe8, 0x06, 0xe3, 0xbe, 0x7e, 0x67, 0x01, + 0xc5, 0x21, 0x67, 0xd8, 0x54, 0xb5, 0x7f, 0xa4, + 0xf9, 0x75, 0x70, 0x1c, 0xfd, 0x79, 0xdb, 0x86, + 0xad, 0x37, 0x85, 0x83, 0x56, 0x4e, 0xf0, 0xbf}}, + {{0xbc, 0xa6, 0xe0, 0x56, 0x4e, 0xef, 0xfa, 0xf5, + 0x1d, 0x5d, 0x3f, 0x2a, 0x5b, 0x19, 0xab, 0x51, + 0xc5, 0x8b, 0xdd, 0x98, 0x28, 0x35, 0x2f, 0xc3, + 0x81, 0x4f, 0x5c, 0xe5, 0x70, 0xb9, 0xeb, 0x62}, + {0xc4, 0x6d, 0x26, 0xb0, 0x17, 0x6b, 0xfe, 0x6c, + 0x12, 0xf8, 0xe7, 0xc1, 0xf5, 0x2f, 0xfa, 0x91, + 0x13, 0x27, 0xbd, 0x73, 0xcc, 0x33, 0x31, 0x1c, + 0x39, 0xe3, 0x27, 0x6a, 0x95, 0xcf, 0xc5, 0xfb}}, + {{0x30, 0xb2, 0x99, 0x84, 0xf0, 0x18, 0x2a, 0x6e, + 0x1e, 0x27, 0xed, 0xa2, 0x29, 0x99, 0x41, 0x56, + 0xe8, 0xd4, 0x0d, 0xef, 0x99, 0x9c, 0xf3, 0x58, + 0x29, 0x55, 0x1a, 0xc0, 0x68, 0xd6, 0x74, 0xa4}, + {0x07, 0x9c, 0xe7, 0xec, 0xf5, 0x36, 0x73, 0x41, + 0xa3, 0x1c, 0xe5, 0x93, 0x97, 0x6a, 0xfd, 0xf7, + 0x53, 0x18, 0xab, 0xaf, 0xeb, 0x85, 0xbd, 0x92, + 0x90, 0xab, 0x3c, 0xbf, 0x30, 0x82, 0xad, 0xf6}}, + {{0xc6, 0x87, 0x8a, 0x2a, 0xea, 0xc0, 0xa9, 0xec, + 0x6d, 0xd3, 0xdc, 0x32, 0x23, 0xce, 0x62, 0x19, + 0xa4, 0x7e, 0xa8, 0xdd, 0x1c, 0x33, 0xae, 0xd3, + 0x4f, 0x62, 0x9f, 0x52, 0xe7, 0x65, 0x46, 0xf4}, + {0x97, 0x51, 0x27, 0x67, 0x2d, 0xa2, 0x82, 0x87, + 0x98, 0xd3, 0xb6, 0x14, 0x7f, 0x51, 0xd3, 0x9a, + 0x0b, 0xd0, 0x76, 0x81, 0xb2, 0x4f, 0x58, 0x92, + 0xa4, 0x86, 0xa1, 0xa7, 0x09, 0x1d, 0xef, 0x9b}}, + {{0xb3, 0x0f, 0x2b, 0x69, 0x0d, 0x06, 0x90, 0x64, + 0xbd, 0x43, 0x4c, 0x10, 0xe8, 0x98, 0x1c, 0xa3, + 0xe1, 0x68, 0xe9, 0x79, 0x6c, 0x29, 0x51, 0x3f, + 0x41, 0xdc, 0xdf, 0x1f, 0xf3, 0x60, 0xbe, 0x33}, + {0xa1, 0x5f, 0xf7, 0x1d, 0xb4, 0x3e, 0x9b, 0x3c, + 0xe7, 0xbd, 0xb6, 0x06, 0xd5, 0x60, 0x06, 0x6d, + 0x50, 0xd2, 0xf4, 0x1a, 0x31, 0x08, 0xf2, 0xea, + 0x8e, 0xef, 0x5f, 0x7d, 0xb6, 0xd0, 0xc0, 0x27}}, + {{0x62, 0x9a, 0xd9, 0xbb, 0x38, 0x36, 0xce, 0xf7, + 0x5d, 0x2f, 0x13, 0xec, 0xc8, 0x2d, 0x02, 0x8a, + 0x2e, 0x72, 0xf0, 0xe5, 0x15, 0x9d, 0x72, 0xae, + 0xfc, 0xb3, 0x4f, 0x02, 0xea, 0xe1, 0x09, 0xfe}, + {0x00, 0x00, 0x00, 0x00, 0xfa, 0x0a, 0x3d, 0xbc, + 0xad, 0x16, 0x0c, 0xb6, 0xe7, 0x7c, 0x8b, 0x39, + 0x9a, 0x43, 0xbb, 0xe3, 0xc2, 0x55, 0x15, 0x14, + 0x75, 0xac, 0x90, 0x9b, 0x7f, 0x9a, 0x92, 0x00}}, + {{0x8b, 0xac, 0x70, 0x86, 0x29, 0x8f, 0x00, 0x23, + 0x7b, 0x45, 0x30, 0xaa, 0xb8, 0x4c, 0xc7, 0x8d, + 0x4e, 0x47, 0x85, 0xc6, 0x19, 0xe3, 0x96, 0xc2, + 0x9a, 0xa0, 0x12, 0xed, 0x6f, 0xd7, 0x76, 0x16}, + {0x45, 0xaf, 0x7e, 0x33, 0xc7, 0x7f, 0x10, 0x6c, + 0x7c, 0x9f, 0x29, 0xc1, 0xa8, 0x7e, 0x15, 0x84, + 0xe7, 0x7d, 0xc0, 0x6d, 0xab, 0x71, 0x5d, 0xd0, + 0x6b, 0x9f, 0x97, 0xab, 0xcb, 0x51, 0x0c, 0x9f}}, + {{0x9e, 0xc3, 0x92, 0xb4, 0x04, 0x9f, 0xc8, 0xbb, + 0xdd, 0x9e, 0xc6, 0x05, 0xfd, 0x65, 0xec, 0x94, + 0x7f, 0x2c, 0x16, 0xc4, 0x40, 0xac, 0x63, 0x7b, + 0x7d, 0xb8, 0x0c, 0xe4, 0x5b, 0xe3, 0xa7, 0x0e}, + {0x43, 0xf4, 0x44, 0xe8, 0xcc, 0xc8, 0xd4, 0x54, + 0x33, 0x37, 0x50, 0xf2, 0x87, 0x42, 0x2e, 0x00, + 0x49, 0x60, 0x62, 0x02, 0xfd, 0x1a, 0x7c, 0xdb, + 0x29, 0x6c, 0x6d, 0x54, 0x53, 0x08, 0xd1, 0xc8}}, + {{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, 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, 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, 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}}, + {{0x27, 0x59, 0xc7, 0x35, 0x60, 0x71, 0xa6, 0xf1, + 0x79, 0xa5, 0xfd, 0x79, 0x16, 0xf3, 0x41, 0xf0, + 0x57, 0xb4, 0x02, 0x97, 0x32, 0xe7, 0xde, 0x59, + 0xe2, 0x2d, 0x9b, 0x11, 0xea, 0x2c, 0x35, 0x92}, + {0x27, 0x59, 0xc7, 0x35, 0x60, 0x71, 0xa6, 0xf1, + 0x79, 0xa5, 0xfd, 0x79, 0x16, 0xf3, 0x41, 0xf0, + 0x57, 0xb4, 0x02, 0x97, 0x32, 0xe7, 0xde, 0x59, + 0xe2, 0x2d, 0x9b, 0x11, 0xea, 0x2c, 0x35, 0x92}}, + {{0x28, 0x56, 0xac, 0x0e, 0x4f, 0x98, 0x09, 0xf0, + 0x49, 0xfa, 0x7f, 0x84, 0xac, 0x7e, 0x50, 0x5b, + 0x17, 0x43, 0x14, 0x89, 0x9c, 0x53, 0xa8, 0x94, + 0x30, 0xf2, 0x11, 0x4d, 0x92, 0x14, 0x27, 0xe8}, + {0x39, 0x7a, 0x84, 0x56, 0x79, 0x9d, 0xec, 0x26, + 0x2c, 0x53, 0xc1, 0x94, 0xc9, 0x8d, 0x9e, 0x9d, + 0x32, 0x1f, 0xdd, 0x84, 0x04, 0xe8, 0xe2, 0x0a, + 0x6b, 0xbe, 0xbb, 0x42, 0x40, 0x67, 0x30, 0x6c}}, + {{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, 0x73, 0x2f, 0xc9, 0xbe, 0xbd}, + {0x27, 0x59, 0xc7, 0x35, 0x60, 0x71, 0xa6, 0xf1, + 0x79, 0xa5, 0xfd, 0x79, 0x16, 0xf3, 0x41, 0xf0, + 0x57, 0xb4, 0x02, 0x97, 0x32, 0xe7, 0xde, 0x59, + 0xe2, 0x2d, 0x9b, 0x11, 0xea, 0x2c, 0x35, 0x92}}, + {{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}}, + {{0x1c, 0xc4, 0xf7, 0xda, 0x0f, 0x65, 0xca, 0x39, + 0x70, 0x52, 0x92, 0x8e, 0xc3, 0xc8, 0x15, 0xea, + 0x7f, 0x10, 0x9e, 0x77, 0x4b, 0x6e, 0x2d, 0xdf, + 0xe8, 0x30, 0x9d, 0xda, 0xe8, 0x9a, 0x65, 0xae}, + {0x02, 0xb0, 0x16, 0xb1, 0x1d, 0xc8, 0x57, 0x7b, + 0xa2, 0x3a, 0xa2, 0xa3, 0x38, 0x5c, 0x8f, 0xeb, + 0x66, 0x37, 0x91, 0xa8, 0x5f, 0xef, 0x04, 0xf6, + 0x59, 0x75, 0xe1, 0xee, 0x92, 0xf6, 0x0e, 0x30}}, + {{0x8d, 0x76, 0x14, 0xa4, 0x14, 0x06, 0x9f, 0x9a, + 0xdf, 0x4a, 0x85, 0xa7, 0x6b, 0xbf, 0x29, 0x6f, + 0xbc, 0x34, 0x87, 0x5d, 0xeb, 0xbb, 0x2e, 0xa9, + 0xc9, 0x1f, 0x58, 0xd6, 0x9a, 0x82, 0xa0, 0x56}, + {0xd4, 0xb9, 0xdb, 0x88, 0x1d, 0x04, 0xe9, 0x93, + 0x8d, 0x3f, 0x20, 0xd5, 0x86, 0xa8, 0x83, 0x07, + 0xdb, 0x09, 0xd8, 0x22, 0x1f, 0x7f, 0xf1, 0x71, + 0xc8, 0xe7, 0x5d, 0x47, 0xaf, 0x8b, 0x72, 0xe9}}, + {{0x83, 0xb9, 0x39, 0xb2, 0xa4, 0xdf, 0x46, 0x87, + 0xc2, 0xb8, 0xf1, 0xe6, 0x4c, 0xd1, 0xe2, 0xa9, + 0xe4, 0x70, 0x30, 0x34, 0xbc, 0x52, 0x7c, 0x55, + 0xa6, 0xec, 0x80, 0xa4, 0xe5, 0xd2, 0xdc, 0x73}, + {0x08, 0xf1, 0x03, 0xcf, 0x16, 0x73, 0xe8, 0x7d, + 0xb6, 0x7e, 0x9b, 0xc0, 0xb4, 0xc2, 0xa5, 0x86, + 0x02, 0x77, 0xd5, 0x27, 0x86, 0xa5, 0x15, 0xfb, + 0xae, 0x9b, 0x8c, 0xa9, 0xf9, 0xf8, 0xa8, 0x4a}}, + {{0x8b, 0x00, 0x49, 0xdb, 0xfa, 0xf0, 0x1b, 0xa2, + 0xed, 0x8a, 0x9a, 0x7a, 0x36, 0x78, 0x4a, 0xc7, + 0xf7, 0xad, 0x39, 0xd0, 0x6c, 0x65, 0x7a, 0x41, + 0xce, 0xd6, 0xd6, 0x4c, 0x20, 0x21, 0x6b, 0xc7}, + {0xc6, 0xca, 0x78, 0x1d, 0x32, 0x6c, 0x6c, 0x06, + 0x91, 0xf2, 0x1a, 0xe8, 0x43, 0x16, 0xea, 0x04, + 0x3c, 0x1f, 0x07, 0x85, 0xf7, 0x09, 0x22, 0x08, + 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}} + }; + secp256k1_scalar_set_int(&one, 1); + for (i = 0; i < 32; 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_t *x) { +void random_fe(secp256k1_fe *x) { unsigned char bin[32]; do { secp256k1_rand256(bin); @@ -671,7 +1420,17 @@ void random_fe(secp256k1_fe_t *x) { } while(1); } -void random_fe_non_zero(secp256k1_fe_t *nz) { +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); @@ -684,25 +1443,25 @@ void random_fe_non_zero(secp256k1_fe_t *nz) { CHECK(tries >= 0); } -void random_fe_non_square(secp256k1_fe_t *ns) { - secp256k1_fe_t r; +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_t *a, const secp256k1_fe_t *b) { - secp256k1_fe_t an = *a; - secp256k1_fe_t bn = *b; +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_t *a, const secp256k1_fe_t *ai) { - secp256k1_fe_t x; - secp256k1_fe_t one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); +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); } @@ -714,17 +1473,17 @@ void run_field_convert(void) { 0x22, 0x23, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x40 }; - static const secp256k1_fe_storage_t fes = SECP256K1_FE_STORAGE_CONST( + static const secp256k1_fe_storage fes = SECP256K1_FE_STORAGE_CONST( 0x00010203UL, 0x04050607UL, 0x11121314UL, 0x15161718UL, 0x22232425UL, 0x26272829UL, 0x33343536UL, 0x37383940UL ); - static const secp256k1_fe_t fe = SECP256K1_FE_CONST( + static const secp256k1_fe fe = SECP256K1_FE_CONST( 0x00010203UL, 0x04050607UL, 0x11121314UL, 0x15161718UL, 0x22232425UL, 0x26272829UL, 0x33343536UL, 0x37383940UL ); - secp256k1_fe_t fe2; + secp256k1_fe fe2; unsigned char b322[32]; - secp256k1_fe_storage_t fes2; + secp256k1_fe_storage fes2; /* Check conversions to fe. */ CHECK(secp256k1_fe_set_b32(&fe2, b32)); CHECK(secp256k1_fe_equal_var(&fe, &fe2)); @@ -737,15 +1496,24 @@ void run_field_convert(void) { 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_t x; - secp256k1_fe_t y; - secp256k1_fe_t z; - secp256k1_fe_t q; - secp256k1_fe_t fe5 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 5); - int i; + 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_t xs, ys, zs; + secp256k1_fe_storage xs, ys, zs; random_fe(&x); random_fe_non_zero(&y); /* Test the fe equality and comparison operations. */ @@ -756,14 +1524,27 @@ void run_field_misc(void) { /* 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(memcmp(&x, &z, sizeof(x)) != 0); - CHECK(memcmp(&x, &q, sizeof(x)) == 0); + CHECK(fe_memcmp(&x, &z) != 0); + CHECK(fe_memcmp(&x, &q) == 0); secp256k1_fe_cmov(&q, &z, 1); - CHECK(memcmp(&q, &z, sizeof(q)) == 0); - /* Test storage conversion and conditional moves. */ - secp256k1_fe_normalize(&z); + 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); @@ -797,7 +1578,7 @@ void run_field_misc(void) { } void run_field_inv(void) { - secp256k1_fe_t x, xi, xii; + secp256k1_fe x, xi, xii; int i; for (i = 0; i < 10*count; i++) { random_fe_non_zero(&x); @@ -809,7 +1590,7 @@ void run_field_inv(void) { } void run_field_inv_var(void) { - secp256k1_fe_t x, xi, xii; + secp256k1_fe x, xi, xii; int i; for (i = 0; i < 10*count; i++) { random_fe_non_zero(&x); @@ -821,13 +1602,13 @@ void run_field_inv_var(void) { } void run_field_inv_all_var(void) { - secp256k1_fe_t x[16], xi[16], xii[16]; + 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; + size_t len = secp256k1_rand_int(15) + 1; for (j = 0; j < len; j++) { random_fe_non_zero(&x[j]); } @@ -843,7 +1624,7 @@ void run_field_inv_all_var(void) { } void run_sqr(void) { - secp256k1_fe_t x, s; + secp256k1_fe x, s; { int i; @@ -858,8 +1639,8 @@ void run_sqr(void) { } } -void test_sqrt(const secp256k1_fe_t *a, const secp256k1_fe_t *k) { - secp256k1_fe_t r1, r2; +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)); @@ -873,7 +1654,7 @@ void test_sqrt(const secp256k1_fe_t *a, const secp256k1_fe_t *k) { } void run_sqrt(void) { - secp256k1_fe_t ns, x, s, t; + secp256k1_fe ns, x, s, t; int i; /* Check sqrt(0) is 0 */ @@ -908,19 +1689,19 @@ void run_sqrt(void) { /***** GROUP TESTS *****/ -void ge_equals_ge(const secp256k1_ge_t *a, const secp256k1_ge_t *b) { +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(&b->y, &b->y)); + 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_t *a, const secp256k1_gej_t *b) { - secp256k1_gej_t a2; - secp256k1_gej_t b2; +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) { @@ -939,9 +1720,9 @@ int gej_xyz_equals_gej(const secp256k1_gej_t *a, const secp256k1_gej_t *b) { return ret; } -void ge_equals_gej(const secp256k1_ge_t *a, const secp256k1_gej_t *b) { - secp256k1_fe_t z2s; - secp256k1_fe_t u1, u2, s1, s2; +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; @@ -958,21 +1739,39 @@ void ge_equals_gej(const secp256k1_ge_t *a, const secp256k1_gej_t *b) { 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. + * 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_t *ge = (secp256k1_ge_t *)malloc(sizeof(secp256k1_ge_t) * (1 + 4 * runs)); - secp256k1_gej_t *gej = (secp256k1_gej_t *)malloc(sizeof(secp256k1_gej_t) * (1 + 4 * runs)); + 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_t g; + 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); @@ -990,18 +1789,65 @@ void test_ge(void) { } } + /* 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_t refj, resj; - secp256k1_ge_t ref; - secp256k1_gej_add_var(&refj, &gej[i1], &gej[i2]); + 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 (var). */ - secp256k1_gej_add_ge_var(&resj, &gej[i1], &ge[i2]); + /* 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) { @@ -1012,10 +1858,15 @@ void test_ge(void) { /* Test doubling (var). */ if ((i1 == 0 && i2 == 0) || ((i1 + 3)/4 == (i2 + 3)/4 && ((i1 + 3)%4)/2 == ((i2 + 3)%4)/2)) { - /* Normal doubling. */ - secp256k1_gej_double_var(&resj, &gej[i1]); + secp256k1_fe zr2; + /* Normal doubling with Z ratio result. */ + secp256k1_gej_double_var(&resj, &gej[i1], &zr2); ge_equals_gej(&ref, &resj); - secp256k1_gej_double_var(&resj, &gej[i2]); + /* 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); } @@ -1040,41 +1891,121 @@ void test_ge(void) { /* Test adding all points together in random order equals infinity. */ { - secp256k1_gej_t sum = SECP256K1_GEJ_CONST_INFINITY; - secp256k1_gej_t *gej_shuffled = (secp256k1_gej_t *)malloc((4 * runs + 1) * sizeof(secp256k1_gej_t)); + 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); + int swap = i + secp256k1_rand_int(4 * runs + 1 - i); if (swap != i) { - secp256k1_gej_t t = gej_shuffled[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]); + secp256k1_gej_add_var(&sum, &sum, &gej_shuffled[i], NULL); } CHECK(secp256k1_gej_is_infinity(&sum)); free(gej_shuffled); } - /* Test batch gej -> ge conversion. */ + /* Test batch gej -> ge conversion with and without known z ratios. */ { - secp256k1_ge_t *ge_set_all = (secp256k1_ge_t *)malloc((4 * runs + 1) * sizeof(secp256k1_ge_t)); - secp256k1_ge_set_all_gej_var(4 * runs + 1, ge_set_all, gej); + 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++) { - secp256k1_fe_t s; + /* 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) { @@ -1082,36 +2013,125 @@ void run_ge(void) { 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 tmp; + /* Results of set_xquad_var, set_xo_var(..., 0), set_xo_var(..., 1). */ + secp256k1_ge ge_quad, ge_even, ge_odd; + /* Return values of the above calls. */ + int res_quad, res_even, res_odd; + + secp256k1_fe_normalize_var(&fex); + + res_quad = secp256k1_ge_set_xquad_var(&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_sqrt_var(&tmp, &ge_quad.y)); + secp256k1_fe_sqr(&tmp, &tmp); + CHECK(secp256k1_fe_equal_var(&tmp, &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)); + } +} + +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_t a = SECP256K1_GEJ_CONST( + 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_t xn = SECP256K1_SCALAR_CONST( + secp256k1_scalar xn = SECP256K1_SCALAR_CONST( 0x84cc5452, 0xf7fde1ed, 0xb4d38a8c, 0xe9b1b84c, 0xcef31f14, 0x6e569be9, 0x705d357a, 0x42985407 ); - secp256k1_scalar_t gn = SECP256K1_SCALAR_CONST( + 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_t xf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x1337); - static const secp256k1_scalar_t gf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x7113); + 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_t ae = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); - secp256k1_scalar_t ge = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); + 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_t x = a; - secp256k1_gej_t x2; + secp256k1_gej x; + secp256k1_gej x2; int i; /* the point being computed */ @@ -1131,7 +2151,7 @@ void run_ecmult_chain(void) { /* verify */ if (i == 19999) { /* expected result after 19999 iterations */ - secp256k1_gej_t rp = SECP256K1_GEJ_CONST( + secp256k1_gej rp = SECP256K1_GEJ_CONST( 0xD6E96687, 0xF9B10D09, 0x2A6F3543, 0x9D86CEBE, 0xA4535D0D, 0x409F5358, 0x6440BD74, 0xB933E830, 0xB95CBCA2, 0xC77DA786, 0x539BE8FD, 0x53354D2D, @@ -1139,30 +2159,32 @@ void run_ecmult_chain(void) { ); secp256k1_gej_neg(&rp, &rp); - secp256k1_gej_add_var(&rp, &rp, &x); + 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); + secp256k1_gej_add_var(&x2, &x2, &x, NULL); CHECK(secp256k1_gej_is_infinity(&x2)); } -void test_point_times_order(const secp256k1_gej_t *point) { +void test_point_times_order(const secp256k1_gej *point) { /* X * (point + G) + (order-X) * (pointer + G) = 0 */ - secp256k1_scalar_t x; - secp256k1_scalar_t nx; - secp256k1_gej_t res1, res2; - secp256k1_ge_t res3; + 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]; - int psize = 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); + 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); @@ -1171,19 +2193,29 @@ void test_point_times_order(const secp256k1_gej_t *point) { 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_t x = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 2); - static const secp256k1_fe_t xr = SECP256K1_FE_CONST( + 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_t p; + secp256k1_ge p; if (secp256k1_ge_set_xo_var(&p, &x, 1)) { - secp256k1_gej_t j; + secp256k1_gej j; CHECK(secp256k1_ge_is_valid_var(&p)); secp256k1_gej_set_ge(&j, &p); CHECK(secp256k1_gej_is_valid_var(&j)); @@ -1195,15 +2227,118 @@ void run_point_times_order(void) { CHECK(secp256k1_fe_equal_var(&x, &xr)); } -void test_wnaf(const secp256k1_scalar_t *number, int w) { - secp256k1_scalar_t x, two, t; +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, number, w); + bits = secp256k1_ecmult_wnaf(wnaf, 256, number, w); CHECK(bits <= 256); for (i = bits-1; i >= 0; i--) { int v = wnaf[i]; @@ -1229,20 +2364,95 @@ void test_wnaf(const secp256k1_scalar_t *number, int w) { 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_t n; + 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_t x; - secp256k1_gej_t r; - secp256k1_ge_t ng; + secp256k1_scalar x; + secp256k1_gej r; + secp256k1_ge ng; int i; int j; secp256k1_ge_neg(&ng, &secp256k1_ge_const_g); @@ -1276,14 +2486,14 @@ void run_ecmult_constants(void) { } 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_t key; - secp256k1_scalar_t b; + /* 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_t pgej; - secp256k1_gej_t pgej2; - secp256k1_gej_t i; - secp256k1_ge_t pge; + 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); @@ -1300,8 +2510,8 @@ void test_ecmult_gen_blind(void) { void test_ecmult_gen_blind_reset(void) { /* Test ecmult_gen() blinding reset and confirm that the blinding is consistent. */ - secp256k1_scalar_t b; - secp256k1_gej_t initial; + 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; @@ -1318,35 +2528,702 @@ void run_ecmult_gen_blind(void) { } } +#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_ecdsa_sig_t *sig, const secp256k1_scalar_t *key, const secp256k1_scalar_t *msg, int *recid) { - secp256k1_scalar_t nonce; +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, sig, key, msg, &nonce, recid)); + } while(!secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, sigr, sigs, key, msg, &nonce, recid)); } void test_ecdsa_sign_verify(void) { - secp256k1_gej_t pubj; - secp256k1_ge_t pub; - secp256k1_scalar_t one; - secp256k1_scalar_t msg, key; - secp256k1_ecdsa_sig_t sig; + 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(&sig, &key, &msg, getrec?&recid:NULL); + 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, &sig, &pub, &msg)); + 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, &sig, &pub, &msg)); + CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg)); } void run_ecdsa_sign_verify(void) { @@ -1357,22 +3234,23 @@ void run_ecdsa_sign_verify(void) { } /** 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, unsigned int counter, const void *data) { +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, unsigned int counter, const void *data) { +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, counter - 1, data); + 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, unsigned int counter, const void *data) { +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); @@ -1394,17 +3272,17 @@ static int nonce_function_test_retry(unsigned char *nonce32, const unsigned char } return 1; } - /* Retry rate of 6979 is negligible esp. as we only call this in determinstic tests. */ + /* 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, counter - 5, data); + return nonce_function_rfc6979(nonce32, msg32, key32, algo16, data, counter - 5); } -int is_empty_compact_signature(const unsigned char *sig64) { - static const unsigned char res[64] = {0}; - return memcmp(sig64, res, 64) == 0; +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) { @@ -1412,26 +3290,19 @@ void test_ecdsa_end_to_end(void) { unsigned char privkey[32]; unsigned char message[32]; unsigned char privkey2[32]; - unsigned char csignature[64]; - unsigned char signature[72]; - unsigned char signature2[72]; - unsigned char signature3[72]; - unsigned char signature4[72]; - unsigned char pubkey[65]; - unsigned char recpubkey[65]; + 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]; - int signaturelen = 72; - int signaturelen2 = 72; - int signaturelen3 = 72; - int signaturelen4 = 72; - int recid = 0; - int recpubkeylen = 0; - int pubkeylen = 65; - int seckeylen = 300; + size_t seckeylen = 300; /* Generate a random key and message. */ { - secp256k1_scalar_t msg, key; + secp256k1_scalar msg, key; random_scalar_order_test(&msg); random_scalar_order_test(&key); secp256k1_scalar_get_b32(privkey, &key); @@ -1440,117 +3311,120 @@ void test_ecdsa_end_to_end(void) { /* Construct and verify corresponding public key. */ CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, pubkey, &pubkeylen, privkey, (secp256k1_rand32() & 3) != 0) == 1); - if (secp256k1_rand32() & 1) { - CHECK(secp256k1_ec_pubkey_decompress(ctx, pubkey, &pubkeylen)); - } - CHECK(secp256k1_ec_pubkey_verify(ctx, pubkey, pubkeylen)); + 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(secp256k1_ec_privkey_export(ctx, privkey, seckey, &seckeylen, secp256k1_rand32() % 2) == 1); - CHECK(secp256k1_ec_privkey_import(ctx, privkey2, seckey, seckeylen) == 1); + 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_rand32() % 3 == 0) { + if (secp256k1_rand_int(3) == 0) { int ret1; int ret2; unsigned char rnd[32]; - unsigned char pubkey2[65]; - int pubkeylen2 = 65; + secp256k1_pubkey pubkey2; secp256k1_rand256_test(rnd); ret1 = secp256k1_ec_privkey_tweak_add(ctx, privkey, rnd); - ret2 = secp256k1_ec_pubkey_tweak_add(ctx, pubkey, pubkeylen, rnd); + ret2 = secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, rnd); CHECK(ret1 == ret2); if (ret1 == 0) { return; } - CHECK(secp256k1_ec_pubkey_create(ctx, pubkey2, &pubkeylen2, privkey, pubkeylen == 33) == 1); - CHECK(memcmp(pubkey, pubkey2, pubkeylen) == 0); + 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) { + if (secp256k1_rand_int(3) == 0) { int ret1; int ret2; unsigned char rnd[32]; - unsigned char pubkey2[65]; - int pubkeylen2 = 65; + secp256k1_pubkey pubkey2; secp256k1_rand256_test(rnd); ret1 = secp256k1_ec_privkey_tweak_mul(ctx, privkey, rnd); - ret2 = secp256k1_ec_pubkey_tweak_mul(ctx, pubkey, pubkeylen, rnd); + ret2 = secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, rnd); CHECK(ret1 == ret2); if (ret1 == 0) { return; } - CHECK(secp256k1_ec_pubkey_create(ctx, pubkey2, &pubkeylen2, privkey, pubkeylen == 33) == 1); - CHECK(memcmp(pubkey, pubkey2, pubkeylen) == 0); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey2, privkey) == 1); + CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); } /* Sign. */ - CHECK(secp256k1_ecdsa_sign(ctx, message, signature, &signaturelen, privkey, NULL, NULL) == 1); - CHECK(signaturelen > 0); - CHECK(secp256k1_ecdsa_sign(ctx, message, signature2, &signaturelen2, privkey, NULL, extra) == 1); - CHECK(signaturelen2 > 0); + 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, message, signature3, &signaturelen3, privkey, NULL, extra) == 1); - CHECK(signaturelen3 > 0); + CHECK(secp256k1_ecdsa_sign(ctx, &signature[2], message, privkey, NULL, extra) == 1); extra[31] = 0; extra[0] = 1; - CHECK(secp256k1_ecdsa_sign(ctx, message, signature4, &signaturelen4, privkey, NULL, extra) == 1); - CHECK(signaturelen3 > 0); - CHECK((signaturelen != signaturelen2) || (memcmp(signature, signature2, signaturelen) != 0)); - CHECK((signaturelen != signaturelen3) || (memcmp(signature, signature3, signaturelen) != 0)); - CHECK((signaturelen3 != signaturelen2) || (memcmp(signature3, signature2, signaturelen3) != 0)); - CHECK((signaturelen4 != signaturelen3) || (memcmp(signature4, signature3, signaturelen4) != 0)); - CHECK((signaturelen4 != signaturelen2) || (memcmp(signature4, signature2, signaturelen4) != 0)); - CHECK((signaturelen4 != signaturelen) || (memcmp(signature4, signature, signaturelen4) != 0)); + 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, message, signature, signaturelen, pubkey, pubkeylen) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, message, signature2, signaturelen2, pubkey, pubkeylen) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, message, signature3, signaturelen3, pubkey, pubkeylen) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, message, signature4, signaturelen4, pubkey, pubkeylen) == 1); - /* Destroy signature and verify again. */ - signature[signaturelen - 1 - secp256k1_rand32() % 20] += 1 + (secp256k1_rand32() % 255); - CHECK(secp256k1_ecdsa_verify(ctx, message, signature, signaturelen, pubkey, pubkeylen) != 1); - - /* Compact sign. */ - CHECK(secp256k1_ecdsa_sign_compact(ctx, message, csignature, privkey, NULL, NULL, &recid) == 1); - CHECK(!is_empty_compact_signature(csignature)); - /* Recover. */ - CHECK(secp256k1_ecdsa_recover_compact(ctx, message, csignature, recpubkey, &recpubkeylen, pubkeylen == 33, recid) == 1); - CHECK(recpubkeylen == pubkeylen); - CHECK(memcmp(pubkey, recpubkey, pubkeylen) == 0); - /* Destroy signature and verify again. */ - csignature[secp256k1_rand32() % 64] += 1 + (secp256k1_rand32() % 255); - CHECK(secp256k1_ecdsa_recover_compact(ctx, message, csignature, recpubkey, &recpubkeylen, pubkeylen == 33, recid) != 1 || - memcmp(pubkey, recpubkey, pubkeylen) != 0); - CHECK(recpubkeylen == pubkeylen); - + 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_t elem; - secp256k1_ge_t elem2; + secp256k1_ge elem; + secp256k1_ge elem2; unsigned char in[65]; /* Generate some randomly sized pubkeys. */ - uint32_t r = secp256k1_rand32(); - int len = (r & 3) == 0 ? 65 : 33; - r>>=2; - if ((r & 3) == 0) { - len = (r & 252) >> 3; + size_t len = secp256k1_rand_bits(2) == 0 ? 65 : 33; + if (secp256k1_rand_bits(2) == 0) { + len = secp256k1_rand_bits(6); } - r>>=8; if (len == 65) { - in[0] = (r & 2) ? 4 : (r & 1? 6 : 7); + in[0] = secp256k1_rand_bits(1) ? 4 : (secp256k1_rand_bits(1) ? 6 : 7); } else { - in[0] = (r & 1) ? 2 : 3; + in[0] = secp256k1_rand_bits(1) ? 2 : 3; } - r>>=2; - if ((r & 7) == 0) { - in[0] = (r & 2040) >> 3; + if (secp256k1_rand_bits(3) == 0) { + in[0] = secp256k1_rand_bits(8); } - r>>=11; if (len > 1) { secp256k1_rand256(&in[1]); } @@ -1561,7 +3435,7 @@ void test_random_pubkeys(void) { unsigned char out[65]; unsigned char firstb; int res; - int size = len; + 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)); @@ -1577,7 +3451,7 @@ void test_random_pubkeys(void) { 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; + 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) { @@ -1608,185 +3482,505 @@ void run_ecdsa_end_to_end(void) { } } +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}; + 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 + }; + + 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) { + /* Delete a byte. */ + pos = secp256k1_rand_int(*len); + memmove(sig + pos, sig + pos + 1, *len - pos - 1); + (*len)--; + return; + } else if (action < 2) { + /* 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); + 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) { - const unsigned char msg32[32] = { - 'T', 'h', 'i', 's', ' ', 'i', 's', ' ', - 'a', ' ', 'v', 'e', 'r', 'y', ' ', 's', - 'e', 'c', 'r', 'e', 't', ' ', 'm', 'e', - 's', 's', 'a', 'g', 'e', '.', '.', '.' - }; - const unsigned char sig64[64] = { - /* Generated by signing the above message with nonce 'This is the nonce we will use...' - * and secret key 0 (which is not valid), resulting in recid 0. */ - 0x67, 0xCB, 0x28, 0x5F, 0x9C, 0xD1, 0x94, 0xE8, - 0x40, 0xD6, 0x29, 0x39, 0x7A, 0xF5, 0x56, 0x96, - 0x62, 0xFD, 0xE4, 0x46, 0x49, 0x99, 0x59, 0x63, - 0x17, 0x9A, 0x7D, 0xD1, 0x7B, 0xD2, 0x35, 0x32, - 0x4B, 0x1B, 0x7D, 0xF3, 0x4C, 0xE1, 0xF6, 0x8E, - 0x69, 0x4F, 0xF6, 0xF1, 0x1A, 0xC7, 0x51, 0xDD, - 0x7D, 0xD7, 0x3E, 0x38, 0x7E, 0xE4, 0xFC, 0x86, - 0x6E, 0x1B, 0xE8, 0xEC, 0xC7, 0xDD, 0x95, 0x57 - }; - unsigned char pubkey[65]; int t; - int pubkeylen = 65; - /* signature (r,s) = (4,4), which can be recovered with all 4 recids. */ - const unsigned char sigb64[64] = { - 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, 0x04, - 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, 0x04, - }; - unsigned char pubkeyb[33]; - int pubkeyblen = 33; - int recid; + secp256k1_ecdsa_signature sig; - CHECK(!secp256k1_ecdsa_recover_compact(ctx, msg32, sig64, pubkey, &pubkeylen, 0, 0)); - CHECK(secp256k1_ecdsa_recover_compact(ctx, msg32, sig64, pubkey, &pubkeylen, 0, 1)); - CHECK(!secp256k1_ecdsa_recover_compact(ctx, msg32, sig64, pubkey, &pubkeylen, 0, 2)); - CHECK(!secp256k1_ecdsa_recover_compact(ctx, msg32, sig64, pubkey, &pubkeylen, 0, 3)); + /* 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); + } - for (recid = 0; recid < 4; recid++) { - int i; - int recid2; - /* (4,4) encoded in DER. */ - unsigned char sigbder[8] = {0x30, 0x06, 0x02, 0x01, 0x04, 0x02, 0x01, 0x04}; - unsigned char sigcder_zr[7] = {0x30, 0x05, 0x02, 0x00, 0x02, 0x01, 0x01}; - unsigned char sigcder_zs[7] = {0x30, 0x05, 0x02, 0x01, 0x01, 0x02, 0x00}; - unsigned char sigbderalt1[39] = { - 0x30, 0x25, 0x02, 0x20, 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, 0x04, 0x02, 0x01, 0x04, - }; - unsigned char sigbderalt2[39] = { - 0x30, 0x25, 0x02, 0x01, 0x04, 0x02, 0x20, 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, 0x04, + /* 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 }; - unsigned char sigbderalt3[40] = { - 0x30, 0x26, 0x02, 0x21, 0x00, 0x00, 0x00, 0x00, + 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, - 0x00, 0x00, 0x00, 0x00, 0x04, 0x02, 0x01, 0x04, + 0x01 }; - unsigned char sigbderalt4[40] = { - 0x30, 0x26, 0x02, 0x01, 0x04, 0x02, 0x21, 0x00, + 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, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, + 0x02 }; - /* (order + r,4) encoded in DER. */ - unsigned char sigbderlong[40] = { - 0x30, 0x26, 0x02, 0x21, 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, 0x45, 0x02, 0x01, 0x04 + 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 }; - CHECK(secp256k1_ecdsa_recover_compact(ctx, msg32, sigb64, pubkeyb, &pubkeyblen, 1, recid)); - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbder, sizeof(sigbder), pubkeyb, pubkeyblen) == 1); - for (recid2 = 0; recid2 < 4; recid2++) { - unsigned char pubkey2b[33]; - int pubkey2blen = 33; - CHECK(secp256k1_ecdsa_recover_compact(ctx, msg32, sigb64, pubkey2b, &pubkey2blen, 1, recid2)); - /* Verifying with (order + r,4) should always fail. */ - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbderlong, sizeof(sigbderlong), pubkey2b, pubkey2blen) != 1); - } - /* DER parsing tests. */ - /* Zero length r/s. */ - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigcder_zr, sizeof(sigcder_zr), pubkeyb, pubkeyblen) == -2); - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigcder_zs, sizeof(sigcder_zs), pubkeyb, pubkeyblen) == -2); - /* Leading zeros. */ - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbderalt1, sizeof(sigbderalt1), pubkeyb, pubkeyblen) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbderalt2, sizeof(sigbderalt2), pubkeyb, pubkeyblen) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbderalt3, sizeof(sigbderalt3), pubkeyb, pubkeyblen) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbderalt4, sizeof(sigbderalt4), pubkeyb, pubkeyblen) == 1); - sigbderalt3[4] = 1; - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbderalt3, sizeof(sigbderalt3), pubkeyb, pubkeyblen) == -2); - sigbderalt4[7] = 1; - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbderalt4, sizeof(sigbderalt4), pubkeyb, pubkeyblen) == -2); - /* Damage signature. */ - sigbder[7]++; - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbder, sizeof(sigbder), pubkeyb, pubkeyblen) == 0); - sigbder[7]--; - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbder, 6, pubkeyb, pubkeyblen) == -2); - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbder, sizeof(sigbder)-1, pubkeyb, pubkeyblen) == -2); - for(i = 0; i < 8; i++) { - int c; - unsigned char orig = sigbder[i]; - /*Try every single-byte change.*/ - for (c = 0; c < 256; c++) { - if (c == orig ) { - continue; - } - sigbder[i] = c; - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigbder, sizeof(sigbder), pubkeyb, pubkeyblen) == - (i==4 || i==7) ? 0 : -2 ); - } - sigbder[i] = orig; - } + 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); } - /* Test the case where ECDSA recomputes a point that is infinity. */ + /* Verify signature with message 1 passes. */ { - secp256k1_gej_t keyj; - secp256k1_ge_t key; - secp256k1_scalar_t msg; - secp256k1_ecdsa_sig_t sig; - secp256k1_scalar_set_int(&sig.s, 1); - secp256k1_scalar_negate(&sig.s, &sig.s); - secp256k1_scalar_inverse(&sig.s, &sig.s); - secp256k1_scalar_set_int(&sig.r, 1); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &keyj, &sig.r); - secp256k1_ge_set_gej(&key, &keyj); - msg = sig.s; - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sig, &key, &msg) == 0); + 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); } - /* Test r/s equal to zero */ + /* Verify signature with message -1 passes. */ { - /* (1,1) encoded in DER. */ - unsigned char sigcder[8] = {0x30, 0x06, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01}; - unsigned char sigc64[64] = { - 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, + 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 }; - unsigned char pubkeyc[65]; - int pubkeyclen = 65; - CHECK(secp256k1_ecdsa_recover_compact(ctx, msg32, sigc64, pubkeyc, &pubkeyclen, 0, 0) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigcder, sizeof(sigcder), pubkeyc, pubkeyclen) == 1); - sigcder[4] = 0; - sigc64[31] = 0; - CHECK(secp256k1_ecdsa_recover_compact(ctx, msg32, sigc64, pubkeyb, &pubkeyblen, 1, 0) == 0); - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigcder, sizeof(sigcder), pubkeyc, pubkeyclen) == 0); - sigcder[4] = 1; - sigcder[7] = 0; - sigc64[31] = 1; - sigc64[63] = 0; - CHECK(secp256k1_ecdsa_recover_compact(ctx, msg32, sigc64, pubkeyb, &pubkeyblen, 1, 0) == 0); - CHECK(secp256k1_ecdsa_verify(ctx, msg32, sigcder, sizeof(sigcder), pubkeyc, pubkeyclen) == 0); - } - - /*Signature where s would be zero.*/ + 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. */ { - const unsigned char nonce[32] = { + 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, @@ -1810,21 +4004,72 @@ void test_ecdsa_edge_cases(void) { 0xb8, 0x12, 0xe0, 0x0b, 0x81, 0x7a, 0x77, 0x62, 0x65, 0xdf, 0xdd, 0x31, 0xb9, 0x3e, 0x29, 0xa9, }; - unsigned char sig[72]; - int siglen = 72; - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig, &siglen, key, precomputed_nonce_function, nonce) == 0); - CHECK(siglen == 0); - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig, &siglen, key, precomputed_nonce_function, nonce2) == 0); - CHECK(siglen == 0); + 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_sign(ctx, msg, sig, &siglen, key, precomputed_nonce_function, nonce) == 1); - CHECK(siglen > 0); - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig, &siglen, key, precomputed_nonce_function, nonce2) == 1); - CHECK(siglen > 0); + 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; - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig, &siglen, key, precomputed_nonce_function, nonce) != 1); - CHECK(siglen == 0); + /* 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. */ @@ -1833,65 +4078,43 @@ void test_ecdsa_edge_cases(void) { int i; unsigned char key[32]; unsigned char msg[32]; - unsigned char sig[72]; - unsigned char sig2[72]; - secp256k1_ecdsa_sig_t s[512]; - int siglen = 72; - int siglen2 = 72; - int recid2; + 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, msg, sig, &siglen, key, NULL, extra) == 0); - CHECK(siglen == 0); + 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, msg, sig, &siglen, key, NULL, extra) == 0); - CHECK(siglen == 0); + 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, msg, sig, &siglen, key, nonce_function_test_fail, extra) == 0); - CHECK(siglen == 0); - CHECK(secp256k1_ecdsa_sign_compact(ctx, msg, sig, key, nonce_function_test_fail, extra, &recid) == 0); - CHECK(is_empty_compact_signature(sig)); + 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. */ - siglen = 72; - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig, &siglen, key, nonce_function_test_retry, extra) == 1); - CHECK(siglen > 0); - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig2, &siglen2, key, nonce_function_rfc6979, extra) == 1); - CHECK(siglen > 0); - CHECK((siglen == siglen2) && (memcmp(sig, sig2, siglen) == 0)); - CHECK(secp256k1_ecdsa_sign_compact(ctx, msg, sig, key, nonce_function_test_retry, extra, &recid) == 1); - CHECK(!is_empty_compact_signature(sig)); - CHECK(secp256k1_ecdsa_sign_compact(ctx, msg, sig2, key, nonce_function_rfc6979, extra, &recid2) == 1); - CHECK(!is_empty_compact_signature(sig2)); - CHECK((recid == recid2) && (memcmp(sig, sig2, 64) == 0)); - /* The default nonce function is determinstic. */ - siglen = 72; - siglen2 = 72; - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig, &siglen, key, NULL, extra) == 1); - CHECK(siglen > 0); - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig2, &siglen2, key, NULL, extra) == 1); - CHECK(siglen2 > 0); - CHECK((siglen == siglen2) && (memcmp(sig, sig2, siglen) == 0)); - CHECK(secp256k1_ecdsa_sign_compact(ctx, msg, sig, key, NULL, extra, &recid) == 1); - CHECK(!is_empty_compact_signature(sig)); - CHECK(secp256k1_ecdsa_sign_compact(ctx, msg, sig2, key, NULL, extra, &recid2) == 1); - CHECK(!is_empty_compact_signature(sig)); - CHECK((recid == recid2) && (memcmp(sig, sig2, 64) == 0)); + 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; - siglen2 = 72; msg[0] = i; - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig2, &siglen2, key, NULL, extra) == 1); - CHECK(!is_empty_compact_signature(sig)); - CHECK(secp256k1_ecdsa_sig_parse(&s[i], sig2, siglen2)); + 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(&s[i].r, &s[j].r)); + CHECK(!secp256k1_scalar_eq(&sr[i], &sr[j])); } } msg[0] = 0; @@ -1899,17 +4122,45 @@ void test_ecdsa_edge_cases(void) { /* The default nonce function changes output with different keys. */ for(i = 256; i < 512; i++) { int j; - siglen2 = 72; key[0] = i - 256; - CHECK(secp256k1_ecdsa_sign(ctx, msg, sig2, &siglen2, key, NULL, extra) == 1); - CHECK(secp256k1_ecdsa_sig_parse(&s[i], sig2, siglen2)); + 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(&s[i].r, &s[j].r)); + 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]; @@ -1919,9 +4170,10 @@ void test_ecdsa_edge_cases(void) { 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41, }; - int outlen = 300; - CHECK(!secp256k1_ec_privkey_export(ctx, seckey, privkey, &outlen, 0)); - CHECK(!secp256k1_ec_privkey_export(ctx, seckey, privkey, &outlen, 1)); + 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)); } } @@ -1930,46 +4182,48 @@ void run_ecdsa_edge_cases(void) { } #ifdef ENABLE_OPENSSL_TESTS -EC_KEY *get_openssl_key(const secp256k1_scalar_t *key) { +EC_KEY *get_openssl_key(const unsigned char *key32) { unsigned char privkey[300]; - int privkeylen; + size_t privkeylen; const unsigned char* pbegin = privkey; - int compr = secp256k1_rand32() & 1; + int compr = secp256k1_rand_bits(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)); + 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_t qj; - secp256k1_ge_t q; - secp256k1_ecdsa_sig_t sig; - secp256k1_scalar_t one; - secp256k1_scalar_t msg2; - secp256k1_scalar_t key, msg; + 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; - int secp_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(&key); - CHECK(ec_key); + 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(&sig, signature, sigsize)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sig, &q, &msg)); + 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, &sig, &q, &msg2)); + CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &q, &msg2)); - random_sign(&sig, &key, &msg, NULL); - CHECK(secp256k1_ecdsa_sig_serialize(signature, &secp_sigsize, &sig)); + 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); @@ -1983,6 +4237,18 @@ void run_ecdsa_openssl(void) { } #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}; @@ -2007,7 +4273,7 @@ int main(int argc, char **argv) { } } else { FILE *frand = fopen("/dev/urandom", "r"); - if (!frand || !fread(&seed16, sizeof(seed16), 1, frand)) { + if ((frand == NULL) || !fread(&seed16, sizeof(seed16), 1, frand)) { uint64_t t = time(NULL) * (uint64_t)1337; seed16[0] ^= t; seed16[1] ^= t >> 8; @@ -2028,12 +4294,14 @@ int main(int argc, char **argv) { /* initialize */ run_context_tests(); ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - - if (secp256k1_rand32() & 1) { + if (secp256k1_rand_bits(1)) { secp256k1_rand256(run32); - CHECK(secp256k1_context_randomize(ctx, secp256k1_rand32() & 1 ? run32 : NULL)); + 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(); @@ -2057,6 +4325,7 @@ int main(int argc, char **argv) { /* group tests */ run_ge(); + run_group_decompress(); /* ecmult tests */ run_wnaf(); @@ -2064,9 +4333,28 @@ int main(int argc, char **argv) { 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(); @@ -2074,10 +4362,22 @@ int main(int argc, char **argv) { 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; } diff --git a/src/util.h b/src/util.h index ae98639f7c..4eef4ded47 100644 --- a/src/util.h +++ b/src/util.h @@ -15,6 +15,15 @@ #include <stdint.h> #include <stdio.h> +typedef struct { + void (*fn)(const char *text, void* data); + const void* data; +} secp256k1_callback; + +static SECP256K1_INLINE void secp256k1_callback_call(const secp256k1_callback * const cb, const char * const text) { + cb->fn(text, (void*)cb->data); +} + #ifdef DETERMINISTIC #define TEST_FAILURE(msg) do { \ fprintf(stderr, "%s\n", msg); \ @@ -47,23 +56,20 @@ } while(0) #endif -/* Like assert(), but safe to use on expressions with side effects. */ -#ifndef NDEBUG -#define DEBUG_CHECK CHECK -#else -#define DEBUG_CHECK(cond) do { (void)(cond); } while(0) -#endif - -/* Like DEBUG_CHECK(), but when VERIFY is defined instead of NDEBUG not defined. */ +/* Like assert(), but when VERIFY is defined, and side-effect safe. */ #ifdef VERIFY #define VERIFY_CHECK CHECK +#define VERIFY_SETUP(stmt) do { stmt; } while(0) #else #define VERIFY_CHECK(cond) do { (void)(cond); } while(0) +#define VERIFY_SETUP(stmt) #endif -static SECP256K1_INLINE void *checked_malloc(size_t size) { +static SECP256K1_INLINE void *checked_malloc(const secp256k1_callback* cb, size_t size) { void *ret = malloc(size); - CHECK(ret != NULL); + if (ret == NULL) { + secp256k1_callback_call(cb, "Out of memory"); + } return ret; } |