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tests.c
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tests.c
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/***********************************************************************
* Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
* Distributed under the MIT software license, see the accompanying *
* file COPYING or https://www.opensource.org/licenses/mit-license.php.*
***********************************************************************/
#if defined HAVE_CONFIG_H
#include "libsecp256k1-config.h"
#endif
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
#include "secp256k1.c"
#include "../include/secp256k1.h"
#include "../include/secp256k1_preallocated.h"
#include "testrand_impl.h"
#include "util.h"
#include "../contrib/lax_der_parsing.c"
#include "../contrib/lax_der_privatekey_parsing.c"
#include "modinv32_impl.h"
#ifdef SECP256K1_WIDEMUL_INT128
#include "modinv64_impl.h"
#endif
static int count = 64;
static secp256k1_context *ctx = NULL;
static void counting_illegal_callback_fn(const char* str, void* data) {
/* Dummy callback function that just counts. */
int32_t *p;
(void)str;
p = data;
(*p)++;
}
static void uncounting_illegal_callback_fn(const char* str, void* data) {
/* Dummy callback function that just counts (backwards). */
int32_t *p;
(void)str;
p = data;
(*p)--;
}
void random_field_element_test(secp256k1_fe *fe) {
do {
unsigned char b32[32];
secp256k1_testrand256_test(b32);
if (secp256k1_fe_set_b32(fe, b32)) {
break;
}
} while(1);
}
void random_field_element_magnitude(secp256k1_fe *fe) {
secp256k1_fe zero;
int n = secp256k1_testrand_int(9);
secp256k1_fe_normalize(fe);
if (n == 0) {
return;
}
secp256k1_fe_clear(&zero);
secp256k1_fe_negate(&zero, &zero, 0);
secp256k1_fe_mul_int(&zero, n - 1);
secp256k1_fe_add(fe, &zero);
#ifdef VERIFY
CHECK(fe->magnitude == n);
#endif
}
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_testrand_bits(1))) {
secp256k1_fe_normalize(&ge->y);
break;
}
} while(1);
ge->infinity = 0;
}
void random_group_element_jacobian_test(secp256k1_gej *gej, const secp256k1_ge *ge) {
secp256k1_fe z2, z3;
do {
random_field_element_test(&gej->z);
if (!secp256k1_fe_is_zero(&gej->z)) {
break;
}
} while(1);
secp256k1_fe_sqr(&z2, &gej->z);
secp256k1_fe_mul(&z3, &z2, &gej->z);
secp256k1_fe_mul(&gej->x, &ge->x, &z2);
secp256k1_fe_mul(&gej->y, &ge->y, &z3);
gej->infinity = ge->infinity;
}
void random_scalar_order_test(secp256k1_scalar *num) {
do {
unsigned char b32[32];
int overflow = 0;
secp256k1_testrand256_test(b32);
secp256k1_scalar_set_b32(num, b32, &overflow);
if (overflow || secp256k1_scalar_is_zero(num)) {
continue;
}
break;
} while(1);
}
void random_scalar_order(secp256k1_scalar *num) {
do {
unsigned char b32[32];
int overflow = 0;
secp256k1_testrand256(b32);
secp256k1_scalar_set_b32(num, b32, &overflow);
if (overflow || secp256k1_scalar_is_zero(num)) {
continue;
}
break;
} while(1);
}
void random_scalar_order_b32(unsigned char *b32) {
secp256k1_scalar num;
random_scalar_order(&num);
secp256k1_scalar_get_b32(b32, &num);
}
void run_context_tests(int use_prealloc) {
secp256k1_pubkey pubkey;
secp256k1_pubkey zero_pubkey;
secp256k1_ecdsa_signature sig;
unsigned char ctmp[32];
int32_t ecount;
int32_t ecount2;
secp256k1_context *none;
secp256k1_context *sign;
secp256k1_context *vrfy;
secp256k1_context *both;
void *none_prealloc = NULL;
void *sign_prealloc = NULL;
void *vrfy_prealloc = NULL;
void *both_prealloc = NULL;
secp256k1_gej pubj;
secp256k1_ge pub;
secp256k1_scalar msg, key, nonce;
secp256k1_scalar sigr, sigs;
if (use_prealloc) {
none_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE));
sign_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN));
vrfy_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY));
both_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY));
CHECK(none_prealloc != NULL);
CHECK(sign_prealloc != NULL);
CHECK(vrfy_prealloc != NULL);
CHECK(both_prealloc != NULL);
none = secp256k1_context_preallocated_create(none_prealloc, SECP256K1_CONTEXT_NONE);
sign = secp256k1_context_preallocated_create(sign_prealloc, SECP256K1_CONTEXT_SIGN);
vrfy = secp256k1_context_preallocated_create(vrfy_prealloc, SECP256K1_CONTEXT_VERIFY);
both = secp256k1_context_preallocated_create(both_prealloc, SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
} else {
none = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
}
memset(&zero_pubkey, 0, sizeof(zero_pubkey));
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);
/* set error callback (to a function that still aborts in case malloc() fails in secp256k1_context_clone() below) */
secp256k1_context_set_error_callback(sign, secp256k1_default_illegal_callback_fn, NULL);
CHECK(sign->error_callback.fn != vrfy->error_callback.fn);
CHECK(sign->error_callback.fn == secp256k1_default_illegal_callback_fn);
/* check if sizes for cloning are consistent */
CHECK(secp256k1_context_preallocated_clone_size(none) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE));
CHECK(secp256k1_context_preallocated_clone_size(sign) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN));
CHECK(secp256k1_context_preallocated_clone_size(vrfy) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY));
CHECK(secp256k1_context_preallocated_clone_size(both) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY));
/*** clone and destroy all of them to make sure cloning was complete ***/
{
secp256k1_context *ctx_tmp;
if (use_prealloc) {
/* clone into a non-preallocated context and then again into a new preallocated one. */
ctx_tmp = none; none = secp256k1_context_clone(none); secp256k1_context_preallocated_destroy(ctx_tmp);
free(none_prealloc); none_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); CHECK(none_prealloc != NULL);
ctx_tmp = none; none = secp256k1_context_preallocated_clone(none, none_prealloc); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = sign; sign = secp256k1_context_clone(sign); secp256k1_context_preallocated_destroy(ctx_tmp);
free(sign_prealloc); sign_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); CHECK(sign_prealloc != NULL);
ctx_tmp = sign; sign = secp256k1_context_preallocated_clone(sign, sign_prealloc); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = vrfy; vrfy = secp256k1_context_clone(vrfy); secp256k1_context_preallocated_destroy(ctx_tmp);
free(vrfy_prealloc); vrfy_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); CHECK(vrfy_prealloc != NULL);
ctx_tmp = vrfy; vrfy = secp256k1_context_preallocated_clone(vrfy, vrfy_prealloc); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = both; both = secp256k1_context_clone(both); secp256k1_context_preallocated_destroy(ctx_tmp);
free(both_prealloc); both_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); CHECK(both_prealloc != NULL);
ctx_tmp = both; both = secp256k1_context_preallocated_clone(both, both_prealloc); secp256k1_context_destroy(ctx_tmp);
} else {
/* clone into a preallocated context and then again into a new non-preallocated one. */
void *prealloc_tmp;
prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); CHECK(prealloc_tmp != NULL);
ctx_tmp = none; none = secp256k1_context_preallocated_clone(none, prealloc_tmp); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = none; none = secp256k1_context_clone(none); secp256k1_context_preallocated_destroy(ctx_tmp);
free(prealloc_tmp);
prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); CHECK(prealloc_tmp != NULL);
ctx_tmp = sign; sign = secp256k1_context_preallocated_clone(sign, prealloc_tmp); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = sign; sign = secp256k1_context_clone(sign); secp256k1_context_preallocated_destroy(ctx_tmp);
free(prealloc_tmp);
prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); CHECK(prealloc_tmp != NULL);
ctx_tmp = vrfy; vrfy = secp256k1_context_preallocated_clone(vrfy, prealloc_tmp); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = vrfy; vrfy = secp256k1_context_clone(vrfy); secp256k1_context_preallocated_destroy(ctx_tmp);
free(prealloc_tmp);
prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); CHECK(prealloc_tmp != NULL);
ctx_tmp = both; both = secp256k1_context_preallocated_clone(both, prealloc_tmp); secp256k1_context_destroy(ctx_tmp);
ctx_tmp = both; both = secp256k1_context_clone(both); secp256k1_context_preallocated_destroy(ctx_tmp);
free(prealloc_tmp);
}
}
/* Verify that the error callback makes it across the clone. */
CHECK(sign->error_callback.fn != vrfy->error_callback.fn);
CHECK(sign->error_callback.fn == secp256k1_default_illegal_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) == 1);
CHECK(ecount2 == 10);
CHECK(secp256k1_ecdsa_verify(vrfy, &sig, ctmp, &pubkey) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 1);
CHECK(ecount2 == 10);
CHECK(secp256k1_ec_pubkey_tweak_add(vrfy, &pubkey, ctmp) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 1);
CHECK(ecount2 == 10);
CHECK(secp256k1_ec_pubkey_negate(vrfy, &pubkey) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_negate(sign, &pubkey) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_negate(sign, NULL) == 0);
CHECK(ecount2 == 11);
CHECK(secp256k1_ec_pubkey_negate(vrfy, &zero_pubkey) == 0);
CHECK(ecount == 3);
CHECK(secp256k1_ec_pubkey_tweak_mul(vrfy, &pubkey, ctmp) == 1);
CHECK(ecount == 3);
CHECK(secp256k1_context_randomize(vrfy, ctmp) == 1);
CHECK(ecount == 3);
CHECK(secp256k1_context_randomize(vrfy, NULL) == 1);
CHECK(ecount == 3);
CHECK(secp256k1_context_randomize(sign, ctmp) == 1);
CHECK(ecount2 == 11);
CHECK(secp256k1_context_randomize(sign, NULL) == 1);
CHECK(ecount2 == 11);
secp256k1_context_set_illegal_callback(vrfy, NULL, NULL);
secp256k1_context_set_illegal_callback(sign, NULL, NULL);
/* obtain a working nonce */
do {
random_scalar_order_test(&nonce);
} while(!secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
/* try signing */
CHECK(secp256k1_ecdsa_sig_sign(&sign->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
CHECK(secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
/* try verifying */
CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg));
CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg));
/* cleanup */
if (use_prealloc) {
secp256k1_context_preallocated_destroy(none);
secp256k1_context_preallocated_destroy(sign);
secp256k1_context_preallocated_destroy(vrfy);
secp256k1_context_preallocated_destroy(both);
free(none_prealloc);
free(sign_prealloc);
free(vrfy_prealloc);
free(both_prealloc);
} else {
secp256k1_context_destroy(none);
secp256k1_context_destroy(sign);
secp256k1_context_destroy(vrfy);
secp256k1_context_destroy(both);
}
/* Defined as no-op. */
secp256k1_context_destroy(NULL);
secp256k1_context_preallocated_destroy(NULL);
}
void run_scratch_tests(void) {
const size_t adj_alloc = ((500 + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT;
int32_t ecount = 0;
size_t checkpoint;
size_t checkpoint_2;
secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
secp256k1_scratch_space *scratch;
secp256k1_scratch_space local_scratch;
/* Test public API */
secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_error_callback(none, counting_illegal_callback_fn, &ecount);
scratch = secp256k1_scratch_space_create(none, 1000);
CHECK(scratch != NULL);
CHECK(ecount == 0);
/* Test internal API */
CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000);
CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 1) == 1000 - (ALIGNMENT - 1));
CHECK(scratch->alloc_size == 0);
CHECK(scratch->alloc_size % ALIGNMENT == 0);
/* Allocating 500 bytes succeeds */
checkpoint = secp256k1_scratch_checkpoint(&none->error_callback, scratch);
CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) != NULL);
CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000 - adj_alloc);
CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1));
CHECK(scratch->alloc_size != 0);
CHECK(scratch->alloc_size % ALIGNMENT == 0);
/* Allocating another 501 bytes fails */
CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 501) == NULL);
CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000 - adj_alloc);
CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1));
CHECK(scratch->alloc_size != 0);
CHECK(scratch->alloc_size % ALIGNMENT == 0);
/* ...but it succeeds once we apply the checkpoint to undo it */
secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, checkpoint);
CHECK(scratch->alloc_size == 0);
CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000);
CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) != NULL);
CHECK(scratch->alloc_size != 0);
/* try to apply a bad checkpoint */
checkpoint_2 = secp256k1_scratch_checkpoint(&none->error_callback, scratch);
secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, checkpoint);
CHECK(ecount == 0);
secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, checkpoint_2); /* checkpoint_2 is after checkpoint */
CHECK(ecount == 1);
secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, (size_t) -1); /* this is just wildly invalid */
CHECK(ecount == 2);
/* try to use badly initialized scratch space */
secp256k1_scratch_space_destroy(none, scratch);
memset(&local_scratch, 0, sizeof(local_scratch));
scratch = &local_scratch;
CHECK(!secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0));
CHECK(ecount == 3);
CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) == NULL);
CHECK(ecount == 4);
secp256k1_scratch_space_destroy(none, scratch);
CHECK(ecount == 5);
/* Test that large integers do not wrap around in a bad way */
scratch = secp256k1_scratch_space_create(none, 1000);
/* Try max allocation with a large number of objects. Only makes sense if
* ALIGNMENT is greater than 1 because otherwise the objects take no extra
* space. */
CHECK(ALIGNMENT <= 1 || !secp256k1_scratch_max_allocation(&none->error_callback, scratch, (SIZE_MAX / (ALIGNMENT - 1)) + 1));
/* Try allocating SIZE_MAX to test wrap around which only happens if
* ALIGNMENT > 1, otherwise it returns NULL anyway because the scratch
* space is too small. */
CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, SIZE_MAX) == NULL);
secp256k1_scratch_space_destroy(none, scratch);
/* cleanup */
secp256k1_scratch_space_destroy(none, NULL); /* no-op */
secp256k1_context_destroy(none);
}
void run_ctz_tests(void) {
static const uint32_t b32[] = {1, 0xffffffff, 0x5e56968f, 0xe0d63129};
static const uint64_t b64[] = {1, 0xffffffffffffffff, 0xbcd02462139b3fc3, 0x98b5f80c769693ef};
int shift;
unsigned i;
for (i = 0; i < sizeof(b32) / sizeof(b32[0]); ++i) {
for (shift = 0; shift < 32; ++shift) {
CHECK(secp256k1_ctz32_var_debruijn(b32[i] << shift) == shift);
CHECK(secp256k1_ctz32_var(b32[i] << shift) == shift);
}
}
for (i = 0; i < sizeof(b64) / sizeof(b64[0]); ++i) {
for (shift = 0; shift < 64; ++shift) {
CHECK(secp256k1_ctz64_var_debruijn(b64[i] << shift) == shift);
CHECK(secp256k1_ctz64_var(b64[i] << shift) == shift);
}
}
}
/***** HASH TESTS *****/
void run_sha256_tests(void) {
static const char *inputs[8] = {
"", "abc", "message digest", "secure hash algorithm", "SHA256 is considered to be safe",
"abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq",
"For this sample, this 63-byte string will be used as input data",
"This is exactly 64 bytes long, not counting the terminating byte"
};
static const unsigned char outputs[8][32] = {
{0xe3, 0xb0, 0xc4, 0x42, 0x98, 0xfc, 0x1c, 0x14, 0x9a, 0xfb, 0xf4, 0xc8, 0x99, 0x6f, 0xb9, 0x24, 0x27, 0xae, 0x41, 0xe4, 0x64, 0x9b, 0x93, 0x4c, 0xa4, 0x95, 0x99, 0x1b, 0x78, 0x52, 0xb8, 0x55},
{0xba, 0x78, 0x16, 0xbf, 0x8f, 0x01, 0xcf, 0xea, 0x41, 0x41, 0x40, 0xde, 0x5d, 0xae, 0x22, 0x23, 0xb0, 0x03, 0x61, 0xa3, 0x96, 0x17, 0x7a, 0x9c, 0xb4, 0x10, 0xff, 0x61, 0xf2, 0x00, 0x15, 0xad},
{0xf7, 0x84, 0x6f, 0x55, 0xcf, 0x23, 0xe1, 0x4e, 0xeb, 0xea, 0xb5, 0xb4, 0xe1, 0x55, 0x0c, 0xad, 0x5b, 0x50, 0x9e, 0x33, 0x48, 0xfb, 0xc4, 0xef, 0xa3, 0xa1, 0x41, 0x3d, 0x39, 0x3c, 0xb6, 0x50},
{0xf3, 0x0c, 0xeb, 0x2b, 0xb2, 0x82, 0x9e, 0x79, 0xe4, 0xca, 0x97, 0x53, 0xd3, 0x5a, 0x8e, 0xcc, 0x00, 0x26, 0x2d, 0x16, 0x4c, 0xc0, 0x77, 0x08, 0x02, 0x95, 0x38, 0x1c, 0xbd, 0x64, 0x3f, 0x0d},
{0x68, 0x19, 0xd9, 0x15, 0xc7, 0x3f, 0x4d, 0x1e, 0x77, 0xe4, 0xe1, 0xb5, 0x2d, 0x1f, 0xa0, 0xf9, 0xcf, 0x9b, 0xea, 0xea, 0xd3, 0x93, 0x9f, 0x15, 0x87, 0x4b, 0xd9, 0x88, 0xe2, 0xa2, 0x36, 0x30},
{0x24, 0x8d, 0x6a, 0x61, 0xd2, 0x06, 0x38, 0xb8, 0xe5, 0xc0, 0x26, 0x93, 0x0c, 0x3e, 0x60, 0x39, 0xa3, 0x3c, 0xe4, 0x59, 0x64, 0xff, 0x21, 0x67, 0xf6, 0xec, 0xed, 0xd4, 0x19, 0xdb, 0x06, 0xc1},
{0xf0, 0x8a, 0x78, 0xcb, 0xba, 0xee, 0x08, 0x2b, 0x05, 0x2a, 0xe0, 0x70, 0x8f, 0x32, 0xfa, 0x1e, 0x50, 0xc5, 0xc4, 0x21, 0xaa, 0x77, 0x2b, 0xa5, 0xdb, 0xb4, 0x06, 0xa2, 0xea, 0x6b, 0xe3, 0x42},
{0xab, 0x64, 0xef, 0xf7, 0xe8, 0x8e, 0x2e, 0x46, 0x16, 0x5e, 0x29, 0xf2, 0xbc, 0xe4, 0x18, 0x26, 0xbd, 0x4c, 0x7b, 0x35, 0x52, 0xf6, 0xb3, 0x82, 0xa9, 0xe7, 0xd3, 0xaf, 0x47, 0xc2, 0x45, 0xf8}
};
int i;
for (i = 0; i < 8; i++) {
unsigned char out[32];
secp256k1_sha256 hasher;
secp256k1_sha256_initialize(&hasher);
secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i]));
secp256k1_sha256_finalize(&hasher, out);
CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0);
if (strlen(inputs[i]) > 0) {
int split = secp256k1_testrand_int(strlen(inputs[i]));
secp256k1_sha256_initialize(&hasher);
secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split);
secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split);
secp256k1_sha256_finalize(&hasher, out);
CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0);
}
}
}
void run_hmac_sha256_tests(void) {
static const char *keys[6] = {
"\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b",
"\x4a\x65\x66\x65",
"\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa",
"\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19",
"\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa",
"\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa"
};
static const char *inputs[6] = {
"\x48\x69\x20\x54\x68\x65\x72\x65",
"\x77\x68\x61\x74\x20\x64\x6f\x20\x79\x61\x20\x77\x61\x6e\x74\x20\x66\x6f\x72\x20\x6e\x6f\x74\x68\x69\x6e\x67\x3f",
"\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd\xdd",
"\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd\xcd",
"\x54\x65\x73\x74\x20\x55\x73\x69\x6e\x67\x20\x4c\x61\x72\x67\x65\x72\x20\x54\x68\x61\x6e\x20\x42\x6c\x6f\x63\x6b\x2d\x53\x69\x7a\x65\x20\x4b\x65\x79\x20\x2d\x20\x48\x61\x73\x68\x20\x4b\x65\x79\x20\x46\x69\x72\x73\x74",
"\x54\x68\x69\x73\x20\x69\x73\x20\x61\x20\x74\x65\x73\x74\x20\x75\x73\x69\x6e\x67\x20\x61\x20\x6c\x61\x72\x67\x65\x72\x20\x74\x68\x61\x6e\x20\x62\x6c\x6f\x63\x6b\x2d\x73\x69\x7a\x65\x20\x6b\x65\x79\x20\x61\x6e\x64\x20\x61\x20\x6c\x61\x72\x67\x65\x72\x20\x74\x68\x61\x6e\x20\x62\x6c\x6f\x63\x6b\x2d\x73\x69\x7a\x65\x20\x64\x61\x74\x61\x2e\x20\x54\x68\x65\x20\x6b\x65\x79\x20\x6e\x65\x65\x64\x73\x20\x74\x6f\x20\x62\x65\x20\x68\x61\x73\x68\x65\x64\x20\x62\x65\x66\x6f\x72\x65\x20\x62\x65\x69\x6e\x67\x20\x75\x73\x65\x64\x20\x62\x79\x20\x74\x68\x65\x20\x48\x4d\x41\x43\x20\x61\x6c\x67\x6f\x72\x69\x74\x68\x6d\x2e"
};
static const unsigned char outputs[6][32] = {
{0xb0, 0x34, 0x4c, 0x61, 0xd8, 0xdb, 0x38, 0x53, 0x5c, 0xa8, 0xaf, 0xce, 0xaf, 0x0b, 0xf1, 0x2b, 0x88, 0x1d, 0xc2, 0x00, 0xc9, 0x83, 0x3d, 0xa7, 0x26, 0xe9, 0x37, 0x6c, 0x2e, 0x32, 0xcf, 0xf7},
{0x5b, 0xdc, 0xc1, 0x46, 0xbf, 0x60, 0x75, 0x4e, 0x6a, 0x04, 0x24, 0x26, 0x08, 0x95, 0x75, 0xc7, 0x5a, 0x00, 0x3f, 0x08, 0x9d, 0x27, 0x39, 0x83, 0x9d, 0xec, 0x58, 0xb9, 0x64, 0xec, 0x38, 0x43},
{0x77, 0x3e, 0xa9, 0x1e, 0x36, 0x80, 0x0e, 0x46, 0x85, 0x4d, 0xb8, 0xeb, 0xd0, 0x91, 0x81, 0xa7, 0x29, 0x59, 0x09, 0x8b, 0x3e, 0xf8, 0xc1, 0x22, 0xd9, 0x63, 0x55, 0x14, 0xce, 0xd5, 0x65, 0xfe},
{0x82, 0x55, 0x8a, 0x38, 0x9a, 0x44, 0x3c, 0x0e, 0xa4, 0xcc, 0x81, 0x98, 0x99, 0xf2, 0x08, 0x3a, 0x85, 0xf0, 0xfa, 0xa3, 0xe5, 0x78, 0xf8, 0x07, 0x7a, 0x2e, 0x3f, 0xf4, 0x67, 0x29, 0x66, 0x5b},
{0x60, 0xe4, 0x31, 0x59, 0x1e, 0xe0, 0xb6, 0x7f, 0x0d, 0x8a, 0x26, 0xaa, 0xcb, 0xf5, 0xb7, 0x7f, 0x8e, 0x0b, 0xc6, 0x21, 0x37, 0x28, 0xc5, 0x14, 0x05, 0x46, 0x04, 0x0f, 0x0e, 0xe3, 0x7f, 0x54},
{0x9b, 0x09, 0xff, 0xa7, 0x1b, 0x94, 0x2f, 0xcb, 0x27, 0x63, 0x5f, 0xbc, 0xd5, 0xb0, 0xe9, 0x44, 0xbf, 0xdc, 0x63, 0x64, 0x4f, 0x07, 0x13, 0x93, 0x8a, 0x7f, 0x51, 0x53, 0x5c, 0x3a, 0x35, 0xe2}
};
int i;
for (i = 0; i < 6; i++) {
secp256k1_hmac_sha256 hasher;
unsigned char out[32];
secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i]));
secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i]));
secp256k1_hmac_sha256_finalize(&hasher, out);
CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0);
if (strlen(inputs[i]) > 0) {
int split = secp256k1_testrand_int(strlen(inputs[i]));
secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i]));
secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split);
secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split);
secp256k1_hmac_sha256_finalize(&hasher, out);
CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0);
}
}
}
void run_rfc6979_hmac_sha256_tests(void) {
static const unsigned char key1[65] = {0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x00, 0x4b, 0xf5, 0x12, 0x2f, 0x34, 0x45, 0x54, 0xc5, 0x3b, 0xde, 0x2e, 0xbb, 0x8c, 0xd2, 0xb7, 0xe3, 0xd1, 0x60, 0x0a, 0xd6, 0x31, 0xc3, 0x85, 0xa5, 0xd7, 0xcc, 0xe2, 0x3c, 0x77, 0x85, 0x45, 0x9a, 0};
static const unsigned char out1[3][32] = {
{0x4f, 0xe2, 0x95, 0x25, 0xb2, 0x08, 0x68, 0x09, 0x15, 0x9a, 0xcd, 0xf0, 0x50, 0x6e, 0xfb, 0x86, 0xb0, 0xec, 0x93, 0x2c, 0x7b, 0xa4, 0x42, 0x56, 0xab, 0x32, 0x1e, 0x42, 0x1e, 0x67, 0xe9, 0xfb},
{0x2b, 0xf0, 0xff, 0xf1, 0xd3, 0xc3, 0x78, 0xa2, 0x2d, 0xc5, 0xde, 0x1d, 0x85, 0x65, 0x22, 0x32, 0x5c, 0x65, 0xb5, 0x04, 0x49, 0x1a, 0x0c, 0xbd, 0x01, 0xcb, 0x8f, 0x3a, 0xa6, 0x7f, 0xfd, 0x4a},
{0xf5, 0x28, 0xb4, 0x10, 0xcb, 0x54, 0x1f, 0x77, 0x00, 0x0d, 0x7a, 0xfb, 0x6c, 0x5b, 0x53, 0xc5, 0xc4, 0x71, 0xea, 0xb4, 0x3e, 0x46, 0x6d, 0x9a, 0xc5, 0x19, 0x0c, 0x39, 0xc8, 0x2f, 0xd8, 0x2e}
};
static const unsigned char key2[64] = {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe3, 0xb0, 0xc4, 0x42, 0x98, 0xfc, 0x1c, 0x14, 0x9a, 0xfb, 0xf4, 0xc8, 0x99, 0x6f, 0xb9, 0x24, 0x27, 0xae, 0x41, 0xe4, 0x64, 0x9b, 0x93, 0x4c, 0xa4, 0x95, 0x99, 0x1b, 0x78, 0x52, 0xb8, 0x55};
static const unsigned char out2[3][32] = {
{0x9c, 0x23, 0x6c, 0x16, 0x5b, 0x82, 0xae, 0x0c, 0xd5, 0x90, 0x65, 0x9e, 0x10, 0x0b, 0x6b, 0xab, 0x30, 0x36, 0xe7, 0xba, 0x8b, 0x06, 0x74, 0x9b, 0xaf, 0x69, 0x81, 0xe1, 0x6f, 0x1a, 0x2b, 0x95},
{0xdf, 0x47, 0x10, 0x61, 0x62, 0x5b, 0xc0, 0xea, 0x14, 0xb6, 0x82, 0xfe, 0xee, 0x2c, 0x9c, 0x02, 0xf2, 0x35, 0xda, 0x04, 0x20, 0x4c, 0x1d, 0x62, 0xa1, 0x53, 0x6c, 0x6e, 0x17, 0xae, 0xd7, 0xa9},
{0x75, 0x97, 0x88, 0x7c, 0xbd, 0x76, 0x32, 0x1f, 0x32, 0xe3, 0x04, 0x40, 0x67, 0x9a, 0x22, 0xcf, 0x7f, 0x8d, 0x9d, 0x2e, 0xac, 0x39, 0x0e, 0x58, 0x1f, 0xea, 0x09, 0x1c, 0xe2, 0x02, 0xba, 0x94}
};
secp256k1_rfc6979_hmac_sha256 rng;
unsigned char out[32];
int i;
secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 64);
for (i = 0; i < 3; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32);
CHECK(secp256k1_memcmp_var(out, out1[i], 32) == 0);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 65);
for (i = 0; i < 3; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32);
CHECK(secp256k1_memcmp_var(out, out1[i], 32) != 0);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
secp256k1_rfc6979_hmac_sha256_initialize(&rng, key2, 64);
for (i = 0; i < 3; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32);
CHECK(secp256k1_memcmp_var(out, out2[i], 32) == 0);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
}
void run_tagged_sha256_tests(void) {
int ecount = 0;
secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
unsigned char tag[32] = { 0 };
unsigned char msg[32] = { 0 };
unsigned char hash32[32];
unsigned char hash_expected[32] = {
0x04, 0x7A, 0x5E, 0x17, 0xB5, 0x86, 0x47, 0xC1,
0x3C, 0xC6, 0xEB, 0xC0, 0xAA, 0x58, 0x3B, 0x62,
0xFB, 0x16, 0x43, 0x32, 0x68, 0x77, 0x40, 0x6C,
0xE2, 0x76, 0x55, 0x9A, 0x3B, 0xDE, 0x55, 0xB3
};
secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount);
/* API test */
CHECK(secp256k1_tagged_sha256(none, hash32, tag, sizeof(tag), msg, sizeof(msg)) == 1);
CHECK(secp256k1_tagged_sha256(none, NULL, tag, sizeof(tag), msg, sizeof(msg)) == 0);
CHECK(ecount == 1);
CHECK(secp256k1_tagged_sha256(none, hash32, NULL, 0, msg, sizeof(msg)) == 0);
CHECK(ecount == 2);
CHECK(secp256k1_tagged_sha256(none, hash32, tag, sizeof(tag), NULL, 0) == 0);
CHECK(ecount == 3);
/* Static test vector */
memcpy(tag, "tag", 3);
memcpy(msg, "msg", 3);
CHECK(secp256k1_tagged_sha256(none, hash32, tag, 3, msg, 3) == 1);
CHECK(secp256k1_memcmp_var(hash32, hash_expected, sizeof(hash32)) == 0);
secp256k1_context_destroy(none);
}
/***** 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_testrand32() : secp256k1_testrand_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_testrand_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]);
}
}
}
/***** MODINV TESTS *****/
/* Compute the modular inverse of (odd) x mod 2^64. */
uint64_t modinv2p64(uint64_t x) {
/* If w = 1/x mod 2^(2^L), then w*(2 - w*x) = 1/x mod 2^(2^(L+1)). See
* Hacker's Delight second edition, Henry S. Warren, Jr., pages 245-247 for
* why. Start with L=0, for which it is true for every odd x that
* 1/x=1 mod 2. Iterating 6 times gives us 1/x mod 2^64. */
int l;
uint64_t w = 1;
CHECK(x & 1);
for (l = 0; l < 6; ++l) w *= (2 - w*x);
return w;
}
/* compute out = (a*b) mod m; if b=NULL, treat b=1.
*
* Out is a 512-bit number (represented as 32 uint16_t's in LE order). The other
* arguments are 256-bit numbers (represented as 16 uint16_t's in LE order). */
void mulmod256(uint16_t* out, const uint16_t* a, const uint16_t* b, const uint16_t* m) {
uint16_t mul[32];
uint64_t c = 0;
int i, j;
int m_bitlen = 0;
int mul_bitlen = 0;
if (b != NULL) {
/* Compute the product of a and b, and put it in mul. */
for (i = 0; i < 32; ++i) {
for (j = i <= 15 ? 0 : i - 15; j <= i && j <= 15; j++) {
c += (uint64_t)a[j] * b[i - j];
}
mul[i] = c & 0xFFFF;
c >>= 16;
}
CHECK(c == 0);
/* compute the highest set bit in mul */
for (i = 511; i >= 0; --i) {
if ((mul[i >> 4] >> (i & 15)) & 1) {
mul_bitlen = i;
break;
}
}
} else {
/* if b==NULL, set mul=a. */
memcpy(mul, a, 32);
memset(mul + 16, 0, 32);
/* compute the highest set bit in mul */
for (i = 255; i >= 0; --i) {
if ((mul[i >> 4] >> (i & 15)) & 1) {
mul_bitlen = i;
break;
}
}
}
/* Compute the highest set bit in m. */
for (i = 255; i >= 0; --i) {
if ((m[i >> 4] >> (i & 15)) & 1) {
m_bitlen = i;
break;
}
}
/* Try do mul -= m<<i, for i going down to 0, whenever the result is not negative */
for (i = mul_bitlen - m_bitlen; i >= 0; --i) {
uint16_t mul2[32];
int64_t cs;
/* Compute mul2 = mul - m<<i. */
cs = 0; /* accumulator */
for (j = 0; j < 32; ++j) { /* j loops over the output limbs in mul2. */
/* Compute sub: the 16 bits in m that will be subtracted from mul2[j]. */
uint16_t sub = 0;
int p;
for (p = 0; p < 16; ++p) { /* p loops over the bit positions in mul2[j]. */
int bitpos = j * 16 - i + p; /* bitpos is the correspond bit position in m. */
if (bitpos >= 0 && bitpos < 256) {
sub |= ((m[bitpos >> 4] >> (bitpos & 15)) & 1) << p;
}
}
/* Add mul[j]-sub to accumulator, and shift bottom 16 bits out to mul2[j]. */
cs += mul[j];
cs -= sub;
mul2[j] = (cs & 0xFFFF);
cs >>= 16;
}
/* If remainder of subtraction is 0, set mul = mul2. */
if (cs == 0) {
memcpy(mul, mul2, sizeof(mul));
}
}
/* Sanity check: test that all limbs higher than m's highest are zero */
for (i = (m_bitlen >> 4) + 1; i < 32; ++i) {
CHECK(mul[i] == 0);
}
memcpy(out, mul, 32);
}
/* Convert a 256-bit number represented as 16 uint16_t's to signed30 notation. */
void uint16_to_signed30(secp256k1_modinv32_signed30* out, const uint16_t* in) {
int i;
memset(out->v, 0, sizeof(out->v));
for (i = 0; i < 256; ++i) {
out->v[i / 30] |= (int32_t)(((in[i >> 4]) >> (i & 15)) & 1) << (i % 30);
}
}
/* Convert a 256-bit number in signed30 notation to a representation as 16 uint16_t's. */
void signed30_to_uint16(uint16_t* out, const secp256k1_modinv32_signed30* in) {
int i;
memset(out, 0, 32);
for (i = 0; i < 256; ++i) {
out[i >> 4] |= (((in->v[i / 30]) >> (i % 30)) & 1) << (i & 15);
}
}
/* Randomly mutate the sign of limbs in signed30 representation, without changing the value. */
void mutate_sign_signed30(secp256k1_modinv32_signed30* x) {
int i;
for (i = 0; i < 16; ++i) {
int pos = secp256k1_testrand_int(8);
if (x->v[pos] > 0 && x->v[pos + 1] <= 0x3fffffff) {
x->v[pos] -= 0x40000000;
x->v[pos + 1] += 1;
} else if (x->v[pos] < 0 && x->v[pos + 1] >= 0x3fffffff) {
x->v[pos] += 0x40000000;
x->v[pos + 1] -= 1;
}
}
}
/* Test secp256k1_modinv32{_var}, using inputs in 16-bit limb format, and returning inverse. */
void test_modinv32_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod) {
uint16_t tmp[16];
secp256k1_modinv32_signed30 x;
secp256k1_modinv32_modinfo m;
int i, vartime, nonzero;
uint16_to_signed30(&x, in);
nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4] | x.v[5] | x.v[6] | x.v[7] | x.v[8]) != 0;
uint16_to_signed30(&m.modulus, mod);
mutate_sign_signed30(&m.modulus);
/* compute 1/modulus mod 2^30 */
m.modulus_inv30 = modinv2p64(m.modulus.v[0]) & 0x3fffffff;
CHECK(((m.modulus_inv30 * m.modulus.v[0]) & 0x3fffffff) == 1);
for (vartime = 0; vartime < 2; ++vartime) {
/* compute inverse */
(vartime ? secp256k1_modinv32_var : secp256k1_modinv32)(&x, &m);
/* produce output */
signed30_to_uint16(out, &x);
/* check if the inverse times the input is 1 (mod m), unless x is 0. */
mulmod256(tmp, out, in, mod);
CHECK(tmp[0] == nonzero);
for (i = 1; i < 16; ++i) CHECK(tmp[i] == 0);
/* invert again */
(vartime ? secp256k1_modinv32_var : secp256k1_modinv32)(&x, &m);
/* check if the result is equal to the input */
signed30_to_uint16(tmp, &x);
for (i = 0; i < 16; ++i) CHECK(tmp[i] == in[i]);
}
}
#ifdef SECP256K1_WIDEMUL_INT128
/* Convert a 256-bit number represented as 16 uint16_t's to signed62 notation. */
void uint16_to_signed62(secp256k1_modinv64_signed62* out, const uint16_t* in) {
int i;
memset(out->v, 0, sizeof(out->v));
for (i = 0; i < 256; ++i) {
out->v[i / 62] |= (int64_t)(((in[i >> 4]) >> (i & 15)) & 1) << (i % 62);
}
}
/* Convert a 256-bit number in signed62 notation to a representation as 16 uint16_t's. */
void signed62_to_uint16(uint16_t* out, const secp256k1_modinv64_signed62* in) {
int i;
memset(out, 0, 32);
for (i = 0; i < 256; ++i) {
out[i >> 4] |= (((in->v[i / 62]) >> (i % 62)) & 1) << (i & 15);
}
}
/* Randomly mutate the sign of limbs in signed62 representation, without changing the value. */
void mutate_sign_signed62(secp256k1_modinv64_signed62* x) {
static const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
int i;
for (i = 0; i < 8; ++i) {
int pos = secp256k1_testrand_int(4);
if (x->v[pos] > 0 && x->v[pos + 1] <= M62) {
x->v[pos] -= (M62 + 1);
x->v[pos + 1] += 1;
} else if (x->v[pos] < 0 && x->v[pos + 1] >= -M62) {
x->v[pos] += (M62 + 1);
x->v[pos + 1] -= 1;
}
}
}
/* Test secp256k1_modinv64{_var}, using inputs in 16-bit limb format, and returning inverse. */
void test_modinv64_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod) {
static const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
uint16_t tmp[16];
secp256k1_modinv64_signed62 x;
secp256k1_modinv64_modinfo m;
int i, vartime, nonzero;
uint16_to_signed62(&x, in);
nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4]) != 0;
uint16_to_signed62(&m.modulus, mod);
mutate_sign_signed62(&m.modulus);
/* compute 1/modulus mod 2^62 */
m.modulus_inv62 = modinv2p64(m.modulus.v[0]) & M62;
CHECK(((m.modulus_inv62 * m.modulus.v[0]) & M62) == 1);
for (vartime = 0; vartime < 2; ++vartime) {
/* compute inverse */
(vartime ? secp256k1_modinv64_var : secp256k1_modinv64)(&x, &m);
/* produce output */
signed62_to_uint16(out, &x);
/* check if the inverse times the input is 1 (mod m), unless x is 0. */
mulmod256(tmp, out, in, mod);
CHECK(tmp[0] == nonzero);
for (i = 1; i < 16; ++i) CHECK(tmp[i] == 0);
/* invert again */
(vartime ? secp256k1_modinv64_var : secp256k1_modinv64)(&x, &m);
/* check if the result is equal to the input */
signed62_to_uint16(tmp, &x);
for (i = 0; i < 16; ++i) CHECK(tmp[i] == in[i]);
}
}
#endif
/* test if a and b are coprime */
int coprime(const uint16_t* a, const uint16_t* b) {
uint16_t x[16], y[16], t[16];
int i;
int iszero;
memcpy(x, a, 32);
memcpy(y, b, 32);
/* simple gcd loop: while x!=0, (x,y)=(y%x,x) */
while (1) {
iszero = 1;
for (i = 0; i < 16; ++i) {
if (x[i] != 0) {
iszero = 0;
break;
}
}
if (iszero) break;
mulmod256(t, y, NULL, x);
memcpy(y, x, 32);
memcpy(x, t, 32);
}
/* return whether y=1 */
if (y[0] != 1) return 0;
for (i = 1; i < 16; ++i) {
if (y[i] != 0) return 0;
}
return 1;
}
void run_modinv_tests(void) {
/* Fixed test cases. Each tuple is (input, modulus, output), each as 16x16 bits in LE order. */
static const uint16_t CASES[][3][16] = {
/* Test cases triggering edge cases in divsteps */
/* Test case known to need 713 divsteps */
{{0x1513, 0x5389, 0x54e9, 0x2798, 0x1957, 0x66a0, 0x8057, 0x3477,
0x7784, 0x1052, 0x326a, 0x9331, 0x6506, 0xa95c, 0x91f3, 0xfb5e},
{0x2bdd, 0x8df4, 0xcc61, 0x481f, 0xdae5, 0x5ca7, 0xf43b, 0x7d54,
0x13d6, 0x469b, 0x2294, 0x20f4, 0xb2a4, 0xa2d1, 0x3ff1, 0xfd4b},
{0xffd8, 0xd9a0, 0x456e, 0x81bb, 0xbabd, 0x6cea, 0x6dbd, 0x73ab,
0xbb94, 0x3d3c, 0xdf08, 0x31c4, 0x3e32, 0xc179, 0x2486, 0xb86b}},
/* Test case known to need 589 divsteps, reaching delta=-140 and
delta=141. */
{{0x3fb1, 0x903b, 0x4eb7, 0x4813, 0xd863, 0x26bf, 0xd89f, 0xa8a9,
0x02fe, 0x57c6, 0x554a, 0x4eab, 0x165e, 0x3d61, 0xee1e, 0x456c},
{0x9295, 0x823b, 0x5c1f, 0x5386, 0x48e0, 0x02ff, 0x4c2a, 0xa2da,
0xe58f, 0x967c, 0xc97e, 0x3f5a, 0x69fb, 0x52d9, 0x0a86, 0xb4a3},
{0x3d30, 0xb893, 0xa809, 0xa7a8, 0x26f5, 0x5b42, 0x55be, 0xf4d0,
0x12c2, 0x7e6a, 0xe41a, 0x90c7, 0xebfa, 0xf920, 0x304e, 0x1419}},
/* Test case known to need 650 divsteps, and doing 65 consecutive (f,g/2) steps. */
{{0x8583, 0x5058, 0xbeae, 0xeb69, 0x48bc, 0x52bb, 0x6a9d, 0xcc94,
0x2a21, 0x87d5, 0x5b0d, 0x42f6, 0x5b8a, 0x2214, 0xe9d6, 0xa040},
{0x7531, 0x27cb, 0x7e53, 0xb739, 0x6a5f, 0x83f5, 0xa45c, 0xcb1d,
0x8a87, 0x1c9c, 0x51d7, 0x851c, 0xb9d8, 0x1fbe, 0xc241, 0xd4a3},
{0xcdb4, 0x275c, 0x7d22, 0xa906, 0x0173, 0xc054, 0x7fdf, 0x5005,
0x7fb8, 0x9059, 0xdf51, 0x99df, 0x2654, 0x8f6e, 0x070f, 0xb347}},
/* example needing 713 divsteps; delta=-2..3 */
{{0xe2e9, 0xee91, 0x4345, 0xe5ad, 0xf3ec, 0x8f42, 0x0364, 0xd5c9,
0xff49, 0xbef5, 0x4544, 0x4c7c, 0xae4b, 0xfd9d, 0xb35b, 0xda9d},
{0x36e7, 0x8cca, 0x2ed0, 0x47b3, 0xaca4, 0xb374, 0x7d2a, 0x0772,
0x6bdb, 0xe0a7, 0x900b, 0xfe10, 0x788c, 0x6f22, 0xd909, 0xf298},
{0xd8c6, 0xba39, 0x13ed, 0x198c, 0x16c8, 0xb837, 0xa5f2, 0x9797,
0x0113, 0x882a, 0x15b5, 0x324c, 0xabee, 0xe465, 0x8170, 0x85ac}},
/* example needing 713 divsteps; delta=-2..3 */
{{0xd5b7, 0x2966, 0x040e, 0xf59a, 0x0387, 0xd96d, 0xbfbc, 0xd850,
0x2d96, 0x872a, 0xad81, 0xc03c, 0xbb39, 0xb7fa, 0xd904, 0xef78},
{0x6279, 0x4314, 0xfdd3, 0x1568, 0x0982, 0x4d13, 0x625f, 0x010c,
0x22b1, 0x0cc3, 0xf22d, 0x5710, 0x1109, 0x5751, 0x7714, 0xfcf2},
{0xdb13, 0x5817, 0x232e, 0xe456, 0xbbbc, 0x6fbe, 0x4572, 0xa358,
0xc76d, 0x928e, 0x0162, 0x5314, 0x8325, 0x5683, 0xe21b, 0xda88}},
/* example needing 713 divsteps; delta=-2..3 */
{{0xa06f, 0x71ee, 0x3bac, 0x9ebb, 0xdeaa, 0x09ed, 0x1cf7, 0x9ec9,
0x7158, 0x8b72, 0x5d53, 0x5479, 0x5c75, 0xbb66, 0x9125, 0xeccc},
{0x2941, 0xd46c, 0x3cd4, 0x4a9d, 0x5c4a, 0x256b, 0xbd6c, 0x9b8e,
0x8fe0, 0x8a14, 0xffe8, 0x2496, 0x618d, 0xa9d7, 0x5018, 0xfb29},
{0x437c, 0xbd60, 0x7590, 0x94bb, 0x0095, 0xd35e, 0xd4fe, 0xd6da,
0x0d4e, 0x5342, 0x4cd2, 0x169b, 0x661c, 0x1380, 0xed2d, 0x85c1}},
/* example reaching delta=-64..65; 661 divsteps */
{{0xfde4, 0x68d6, 0x6c48, 0x7f77, 0x1c78, 0x96de, 0x2fd9, 0xa6c2,
0xbbb5, 0xd319, 0x69cf, 0xd4b3, 0xa321, 0xcda0, 0x172e, 0xe530},
{0xd9e3, 0x0f60, 0x3d86, 0xeeab, 0x25ee, 0x9582, 0x2d50, 0xfe16,
0xd4e2, 0xe3ba, 0x94e2, 0x9833, 0x6c5e, 0x8982, 0x13b6, 0xe598},
{0xe675, 0xf55a, 0x10f6, 0xabde, 0x5113, 0xecaa, 0x61ae, 0xad9f,
0x0c27, 0xef33, 0x62e5, 0x211d, 0x08fa, 0xa78d, 0xc675, 0x8bae}},
/* example reaching delta=-64..65; 661 divsteps */
{{0x21bf, 0x52d5, 0x8fd4, 0xaa18, 0x156a, 0x7247, 0xebb8, 0x5717,
0x4eb5, 0x1421, 0xb58f, 0x3b0b, 0x5dff, 0xe533, 0xb369, 0xd28a},
{0x9f6b, 0xe463, 0x2563, 0xc74d, 0x6d81, 0x636a, 0x8fc8, 0x7a94,
0x9429, 0x1585, 0xf35e, 0x7ff5, 0xb64f, 0x9720, 0xba74, 0xe108},
{0xa5ab, 0xea7b, 0xfe5e, 0x8a85, 0x13be, 0x7934, 0xe8a0, 0xa187,
0x86b5, 0xe477, 0xb9a4, 0x75d7, 0x538f, 0xdd70, 0xc781, 0xb67d}},
/* example reaching delta=-64..65; 661 divsteps */
{{0xa41a, 0x3e8d, 0xf1f5, 0x9493, 0x868c, 0x5103, 0x2725, 0x3ceb,
0x6032, 0x3624, 0xdc6b, 0x9120, 0xbf4c, 0x8821, 0x91ad, 0xb31a},