secp256k1

This commit is contained in:
2025-08-16 10:48:58 -04:00
parent 2036d0165b
commit 77186c88dd
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function(add_example name)
set(target_name ${name}_example)
add_executable(${target_name} ${name}.c)
target_include_directories(${target_name} PRIVATE
${PROJECT_SOURCE_DIR}/include
)
target_link_libraries(${target_name}
secp256k1
$<$<PLATFORM_ID:Windows>:bcrypt>
)
set(test_name ${name}_example)
add_test(NAME secp256k1_${test_name} COMMAND ${target_name})
endfunction()
add_example(ecdsa)
if(SECP256K1_ENABLE_MODULE_ECDH)
add_example(ecdh)
endif()
if(SECP256K1_ENABLE_MODULE_SCHNORRSIG)
add_example(schnorr)
endif()
if(SECP256K1_ENABLE_MODULE_ELLSWIFT)
add_example(ellswift)
endif()
if(SECP256K1_ENABLE_MODULE_MUSIG)
add_example(musig)
endif()

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secp256k1/examples/ecdh.c Normal file
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/*************************************************************************
* Written in 2020-2022 by Elichai Turkel *
* To the extent possible under law, the author(s) have dedicated all *
* copyright and related and neighboring rights to the software in this *
* file to the public domain worldwide. This software is distributed *
* without any warranty. For the CC0 Public Domain Dedication, see *
* EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
*************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include <string.h>
#include <secp256k1.h>
#include <secp256k1_ecdh.h>
#include "examples_util.h"
int main(void) {
unsigned char seckey1[32];
unsigned char seckey2[32];
unsigned char compressed_pubkey1[33];
unsigned char compressed_pubkey2[33];
unsigned char shared_secret1[32];
unsigned char shared_secret2[32];
unsigned char randomize[32];
int return_val;
size_t len;
secp256k1_pubkey pubkey1;
secp256k1_pubkey pubkey2;
/* Before we can call actual API functions, we need to create a "context". */
secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
if (!fill_random(randomize, sizeof(randomize))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
/* Randomizing the context is recommended to protect against side-channel
* leakage See `secp256k1_context_randomize` in secp256k1.h for more
* information about it. This should never fail. */
return_val = secp256k1_context_randomize(ctx, randomize);
assert(return_val);
/*** Key Generation ***/
if (!fill_random(seckey1, sizeof(seckey1)) || !fill_random(seckey2, sizeof(seckey2))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
/* If the secret key is zero or out of range (greater than secp256k1's
* order), we fail. Note that the probability of this occurring is negligible
* with a properly functioning random number generator. */
if (!secp256k1_ec_seckey_verify(ctx, seckey1) || !secp256k1_ec_seckey_verify(ctx, seckey2)) {
printf("Generated secret key is invalid. This indicates an issue with the random number generator.\n");
return EXIT_FAILURE;
}
/* Public key creation using a valid context with a verified secret key should never fail */
return_val = secp256k1_ec_pubkey_create(ctx, &pubkey1, seckey1);
assert(return_val);
return_val = secp256k1_ec_pubkey_create(ctx, &pubkey2, seckey2);
assert(return_val);
/* Serialize pubkey1 in a compressed form (33 bytes), should always return 1 */
len = sizeof(compressed_pubkey1);
return_val = secp256k1_ec_pubkey_serialize(ctx, compressed_pubkey1, &len, &pubkey1, SECP256K1_EC_COMPRESSED);
assert(return_val);
/* Should be the same size as the size of the output, because we passed a 33 byte array. */
assert(len == sizeof(compressed_pubkey1));
/* Serialize pubkey2 in a compressed form (33 bytes) */
len = sizeof(compressed_pubkey2);
return_val = secp256k1_ec_pubkey_serialize(ctx, compressed_pubkey2, &len, &pubkey2, SECP256K1_EC_COMPRESSED);
assert(return_val);
/* Should be the same size as the size of the output, because we passed a 33 byte array. */
assert(len == sizeof(compressed_pubkey2));
/*** Creating the shared secret ***/
/* Perform ECDH with seckey1 and pubkey2. Should never fail with a verified
* seckey and valid pubkey */
return_val = secp256k1_ecdh(ctx, shared_secret1, &pubkey2, seckey1, NULL, NULL);
assert(return_val);
/* Perform ECDH with seckey2 and pubkey1. Should never fail with a verified
* seckey and valid pubkey */
return_val = secp256k1_ecdh(ctx, shared_secret2, &pubkey1, seckey2, NULL, NULL);
assert(return_val);
/* Both parties should end up with the same shared secret */
return_val = memcmp(shared_secret1, shared_secret2, sizeof(shared_secret1));
assert(return_val == 0);
printf("Secret Key1: ");
print_hex(seckey1, sizeof(seckey1));
printf("Compressed Pubkey1: ");
print_hex(compressed_pubkey1, sizeof(compressed_pubkey1));
printf("\nSecret Key2: ");
print_hex(seckey2, sizeof(seckey2));
printf("Compressed Pubkey2: ");
print_hex(compressed_pubkey2, sizeof(compressed_pubkey2));
printf("\nShared Secret: ");
print_hex(shared_secret1, sizeof(shared_secret1));
/* This will clear everything from the context and free the memory */
secp256k1_context_destroy(ctx);
/* It's best practice to try to clear secrets from memory after using them.
* This is done because some bugs can allow an attacker to leak memory, for
* example through "out of bounds" array access (see Heartbleed), or the OS
* swapping them to disk. Hence, we overwrite the secret key buffer with zeros.
*
* Here we are preventing these writes from being optimized out, as any good compiler
* will remove any writes that aren't used. */
secure_erase(seckey1, sizeof(seckey1));
secure_erase(seckey2, sizeof(seckey2));
secure_erase(shared_secret1, sizeof(shared_secret1));
secure_erase(shared_secret2, sizeof(shared_secret2));
return EXIT_SUCCESS;
}

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secp256k1/examples/ecdsa.c Normal file
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/*************************************************************************
* Written in 2020-2022 by Elichai Turkel *
* To the extent possible under law, the author(s) have dedicated all *
* copyright and related and neighboring rights to the software in this *
* file to the public domain worldwide. This software is distributed *
* without any warranty. For the CC0 Public Domain Dedication, see *
* EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
*************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include <string.h>
#include <secp256k1.h>
#include "examples_util.h"
int main(void) {
/* Instead of signing the message directly, we must sign a 32-byte hash.
* Here the message is "Hello, world!" and the hash function was SHA-256.
* An actual implementation should just call SHA-256, but this example
* hardcodes the output to avoid depending on an additional library.
* See https://bitcoin.stackexchange.com/questions/81115/if-someone-wanted-to-pretend-to-be-satoshi-by-posting-a-fake-signature-to-defrau/81116#81116 */
unsigned char msg_hash[32] = {
0x31, 0x5F, 0x5B, 0xDB, 0x76, 0xD0, 0x78, 0xC4,
0x3B, 0x8A, 0xC0, 0x06, 0x4E, 0x4A, 0x01, 0x64,
0x61, 0x2B, 0x1F, 0xCE, 0x77, 0xC8, 0x69, 0x34,
0x5B, 0xFC, 0x94, 0xC7, 0x58, 0x94, 0xED, 0xD3,
};
unsigned char seckey[32];
unsigned char randomize[32];
unsigned char compressed_pubkey[33];
unsigned char serialized_signature[64];
size_t len;
int is_signature_valid, is_signature_valid2;
int return_val;
secp256k1_pubkey pubkey;
secp256k1_ecdsa_signature sig;
/* Before we can call actual API functions, we need to create a "context". */
secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
if (!fill_random(randomize, sizeof(randomize))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
/* Randomizing the context is recommended to protect against side-channel
* leakage See `secp256k1_context_randomize` in secp256k1.h for more
* information about it. This should never fail. */
return_val = secp256k1_context_randomize(ctx, randomize);
assert(return_val);
/*** Key Generation ***/
if (!fill_random(seckey, sizeof(seckey))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
/* If the secret key is zero or out of range (greater than secp256k1's
* order), we fail. Note that the probability of this occurring is negligible
* with a properly functioning random number generator. */
if (!secp256k1_ec_seckey_verify(ctx, seckey)) {
printf("Generated secret key is invalid. This indicates an issue with the random number generator.\n");
return EXIT_FAILURE;
}
/* Public key creation using a valid context with a verified secret key should never fail */
return_val = secp256k1_ec_pubkey_create(ctx, &pubkey, seckey);
assert(return_val);
/* Serialize the pubkey in a compressed form(33 bytes). Should always return 1. */
len = sizeof(compressed_pubkey);
return_val = secp256k1_ec_pubkey_serialize(ctx, compressed_pubkey, &len, &pubkey, SECP256K1_EC_COMPRESSED);
assert(return_val);
/* Should be the same size as the size of the output, because we passed a 33 byte array. */
assert(len == sizeof(compressed_pubkey));
/*** Signing ***/
/* Generate an ECDSA signature `noncefp` and `ndata` allows you to pass a
* custom nonce function, passing `NULL` will use the RFC-6979 safe default.
* Signing with a valid context, verified secret key
* and the default nonce function should never fail. */
return_val = secp256k1_ecdsa_sign(ctx, &sig, msg_hash, seckey, NULL, NULL);
assert(return_val);
/* Serialize the signature in a compact form. Should always return 1
* according to the documentation in secp256k1.h. */
return_val = secp256k1_ecdsa_signature_serialize_compact(ctx, serialized_signature, &sig);
assert(return_val);
/*** Verification ***/
/* Deserialize the signature. This will return 0 if the signature can't be parsed correctly. */
if (!secp256k1_ecdsa_signature_parse_compact(ctx, &sig, serialized_signature)) {
printf("Failed parsing the signature\n");
return EXIT_FAILURE;
}
/* Deserialize the public key. This will return 0 if the public key can't be parsed correctly. */
if (!secp256k1_ec_pubkey_parse(ctx, &pubkey, compressed_pubkey, sizeof(compressed_pubkey))) {
printf("Failed parsing the public key\n");
return EXIT_FAILURE;
}
/* Verify a signature. This will return 1 if it's valid and 0 if it's not. */
is_signature_valid = secp256k1_ecdsa_verify(ctx, &sig, msg_hash, &pubkey);
printf("Is the signature valid? %s\n", is_signature_valid ? "true" : "false");
printf("Secret Key: ");
print_hex(seckey, sizeof(seckey));
printf("Public Key: ");
print_hex(compressed_pubkey, sizeof(compressed_pubkey));
printf("Signature: ");
print_hex(serialized_signature, sizeof(serialized_signature));
/* This will clear everything from the context and free the memory */
secp256k1_context_destroy(ctx);
/* Bonus example: if all we need is signature verification (and no key
generation or signing), we don't need to use a context created via
secp256k1_context_create(). We can simply use the static (i.e., global)
context secp256k1_context_static. See its description in
include/secp256k1.h for details. */
is_signature_valid2 = secp256k1_ecdsa_verify(secp256k1_context_static,
&sig, msg_hash, &pubkey);
assert(is_signature_valid2 == is_signature_valid);
/* It's best practice to try to clear secrets from memory after using them.
* This is done because some bugs can allow an attacker to leak memory, for
* example through "out of bounds" array access (see Heartbleed), or the OS
* swapping them to disk. Hence, we overwrite the secret key buffer with zeros.
*
* Here we are preventing these writes from being optimized out, as any good compiler
* will remove any writes that aren't used. */
secure_erase(seckey, sizeof(seckey));
return EXIT_SUCCESS;
}

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/*************************************************************************
* Written in 2024 by Sebastian Falbesoner *
* To the extent possible under law, the author(s) have dedicated all *
* copyright and related and neighboring rights to the software in this *
* file to the public domain worldwide. This software is distributed *
* without any warranty. For the CC0 Public Domain Dedication, see *
* EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
*************************************************************************/
/** This file demonstrates how to use the ElligatorSwift module to perform
* a key exchange according to BIP 324. Additionally, see the documentation
* in include/secp256k1_ellswift.h and doc/ellswift.md.
*/
#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include <string.h>
#include <secp256k1.h>
#include <secp256k1_ellswift.h>
#include "examples_util.h"
int main(void) {
secp256k1_context* ctx;
unsigned char randomize[32];
unsigned char auxrand1[32];
unsigned char auxrand2[32];
unsigned char seckey1[32];
unsigned char seckey2[32];
unsigned char ellswift_pubkey1[64];
unsigned char ellswift_pubkey2[64];
unsigned char shared_secret1[32];
unsigned char shared_secret2[32];
int return_val;
/* Create a secp256k1 context */
ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
if (!fill_random(randomize, sizeof(randomize))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
/* Randomizing the context is recommended to protect against side-channel
* leakage. See `secp256k1_context_randomize` in secp256k1.h for more
* information about it. This should never fail. */
return_val = secp256k1_context_randomize(ctx, randomize);
assert(return_val);
/*** Generate secret keys ***/
if (!fill_random(seckey1, sizeof(seckey1)) || !fill_random(seckey2, sizeof(seckey2))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
/* If the secret key is zero or out of range (greater than secp256k1's
* order), we fail. Note that the probability of this occurring is negligible
* with a properly functioning random number generator. */
if (!secp256k1_ec_seckey_verify(ctx, seckey1) || !secp256k1_ec_seckey_verify(ctx, seckey2)) {
printf("Generated secret key is invalid. This indicates an issue with the random number generator.\n");
return EXIT_FAILURE;
}
/* Generate ElligatorSwift public keys. This should never fail with valid context and
verified secret keys. Note that providing additional randomness (fourth parameter) is
optional, but recommended. */
if (!fill_random(auxrand1, sizeof(auxrand1)) || !fill_random(auxrand2, sizeof(auxrand2))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
return_val = secp256k1_ellswift_create(ctx, ellswift_pubkey1, seckey1, auxrand1);
assert(return_val);
return_val = secp256k1_ellswift_create(ctx, ellswift_pubkey2, seckey2, auxrand2);
assert(return_val);
/*** Create the shared secret on each side ***/
/* Perform x-only ECDH with seckey1 and ellswift_pubkey2. Should never fail
* with a verified seckey and valid pubkey. Note that both parties pass both
* EllSwift pubkeys in the same order; the pubkey of the calling party is
* determined by the "party" boolean (sixth parameter). */
return_val = secp256k1_ellswift_xdh(ctx, shared_secret1, ellswift_pubkey1, ellswift_pubkey2,
seckey1, 0, secp256k1_ellswift_xdh_hash_function_bip324, NULL);
assert(return_val);
/* Perform x-only ECDH with seckey2 and ellswift_pubkey1. Should never fail
* with a verified seckey and valid pubkey. */
return_val = secp256k1_ellswift_xdh(ctx, shared_secret2, ellswift_pubkey1, ellswift_pubkey2,
seckey2, 1, secp256k1_ellswift_xdh_hash_function_bip324, NULL);
assert(return_val);
/* Both parties should end up with the same shared secret */
return_val = memcmp(shared_secret1, shared_secret2, sizeof(shared_secret1));
assert(return_val == 0);
printf( " Secret Key1: ");
print_hex(seckey1, sizeof(seckey1));
printf( "EllSwift Pubkey1: ");
print_hex(ellswift_pubkey1, sizeof(ellswift_pubkey1));
printf("\n Secret Key2: ");
print_hex(seckey2, sizeof(seckey2));
printf( "EllSwift Pubkey2: ");
print_hex(ellswift_pubkey2, sizeof(ellswift_pubkey2));
printf("\n Shared Secret: ");
print_hex(shared_secret1, sizeof(shared_secret1));
/* This will clear everything from the context and free the memory */
secp256k1_context_destroy(ctx);
/* It's best practice to try to clear secrets from memory after using them.
* This is done because some bugs can allow an attacker to leak memory, for
* example through "out of bounds" array access (see Heartbleed), or the OS
* swapping them to disk. Hence, we overwrite the secret key buffer with zeros.
*
* Here we are preventing these writes from being optimized out, as any good compiler
* will remove any writes that aren't used. */
secure_erase(seckey1, sizeof(seckey1));
secure_erase(seckey2, sizeof(seckey2));
secure_erase(shared_secret1, sizeof(shared_secret1));
secure_erase(shared_secret2, sizeof(shared_secret2));
return EXIT_SUCCESS;
}

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/*************************************************************************
* Copyright (c) 2020-2021 Elichai Turkel *
* Distributed under the CC0 software license, see the accompanying file *
* EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
*************************************************************************/
/*
* This file is an attempt at collecting best practice methods for obtaining randomness with different operating systems.
* It may be out-of-date. Consult the documentation of the operating system before considering to use the methods below.
*
* Platform randomness sources:
* Linux -> `getrandom(2)`(`sys/random.h`), if not available `/dev/urandom` should be used. http://man7.org/linux/man-pages/man2/getrandom.2.html, https://linux.die.net/man/4/urandom
* macOS -> `getentropy(2)`(`sys/random.h`), if not available `/dev/urandom` should be used. https://www.unix.com/man-page/mojave/2/getentropy, https://opensource.apple.com/source/xnu/xnu-517.12.7/bsd/man/man4/random.4.auto.html
* FreeBSD -> `getrandom(2)`(`sys/random.h`), if not available `kern.arandom` should be used. https://www.freebsd.org/cgi/man.cgi?query=getrandom, https://www.freebsd.org/cgi/man.cgi?query=random&sektion=4
* OpenBSD -> `getentropy(2)`(`unistd.h`), if not available `/dev/urandom` should be used. https://man.openbsd.org/getentropy, https://man.openbsd.org/urandom
* Windows -> `BCryptGenRandom`(`bcrypt.h`). https://docs.microsoft.com/en-us/windows/win32/api/bcrypt/nf-bcrypt-bcryptgenrandom
*/
#if defined(_WIN32)
/*
* The defined WIN32_NO_STATUS macro disables return code definitions in
* windows.h, which avoids "macro redefinition" MSVC warnings in ntstatus.h.
*/
#define WIN32_NO_STATUS
#include <windows.h>
#undef WIN32_NO_STATUS
#include <ntstatus.h>
#include <bcrypt.h>
#elif defined(__linux__) || defined(__APPLE__) || defined(__FreeBSD__)
#include <sys/random.h>
#elif defined(__OpenBSD__)
#include <unistd.h>
#else
#error "Couldn't identify the OS"
#endif
#include <stddef.h>
#include <limits.h>
#include <stdio.h>
/* Returns 1 on success, and 0 on failure. */
static int fill_random(unsigned char* data, size_t size) {
#if defined(_WIN32)
NTSTATUS res = BCryptGenRandom(NULL, data, size, BCRYPT_USE_SYSTEM_PREFERRED_RNG);
if (res != STATUS_SUCCESS || size > ULONG_MAX) {
return 0;
} else {
return 1;
}
#elif defined(__linux__) || defined(__FreeBSD__)
/* If `getrandom(2)` is not available you should fallback to /dev/urandom */
ssize_t res = getrandom(data, size, 0);
if (res < 0 || (size_t)res != size ) {
return 0;
} else {
return 1;
}
#elif defined(__APPLE__) || defined(__OpenBSD__)
/* If `getentropy(2)` is not available you should fallback to either
* `SecRandomCopyBytes` or /dev/urandom */
int res = getentropy(data, size);
if (res == 0) {
return 1;
} else {
return 0;
}
#endif
return 0;
}
static void print_hex(unsigned char* data, size_t size) {
size_t i;
printf("0x");
for (i = 0; i < size; i++) {
printf("%02x", data[i]);
}
printf("\n");
}
#if defined(_MSC_VER)
// For SecureZeroMemory
#include <Windows.h>
#endif
/* Cleanses memory to prevent leaking sensitive info. Won't be optimized out. */
static void secure_erase(void *ptr, size_t len) {
#if defined(_MSC_VER)
/* SecureZeroMemory is guaranteed not to be optimized out by MSVC. */
SecureZeroMemory(ptr, len);
#elif defined(__GNUC__)
/* We use a memory barrier that scares the compiler away from optimizing out the memset.
*
* Quoting Adam Langley <agl@google.com> in commit ad1907fe73334d6c696c8539646c21b11178f20f
* in BoringSSL (ISC License):
* As best as we can tell, this is sufficient to break any optimisations that
* might try to eliminate "superfluous" memsets.
* This method used in memzero_explicit() the Linux kernel, too. Its advantage is that it is
* pretty efficient, because the compiler can still implement the memset() efficiently,
* just not remove it entirely. See "Dead Store Elimination (Still) Considered Harmful" by
* Yang et al. (USENIX Security 2017) for more background.
*/
memset(ptr, 0, len);
__asm__ __volatile__("" : : "r"(ptr) : "memory");
#else
void *(*volatile const volatile_memset)(void *, int, size_t) = memset;
volatile_memset(ptr, 0, len);
#endif
}

261
secp256k1/examples/musig.c Normal file
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/*************************************************************************
* To the extent possible under law, the author(s) have dedicated all *
* copyright and related and neighboring rights to the software in this *
* file to the public domain worldwide. This software is distributed *
* without any warranty. For the CC0 Public Domain Dedication, see *
* EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
*************************************************************************/
/** This file demonstrates how to use the MuSig module to create a
* 3-of-3 multisignature. Additionally, see the documentation in
* include/secp256k1_musig.h and doc/musig.md.
*/
#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include <string.h>
#include <secp256k1.h>
#include <secp256k1_extrakeys.h>
#include <secp256k1_musig.h>
#include <secp256k1_schnorrsig.h>
#include "examples_util.h"
struct signer_secrets {
secp256k1_keypair keypair;
secp256k1_musig_secnonce secnonce;
};
struct signer {
secp256k1_pubkey pubkey;
secp256k1_musig_pubnonce pubnonce;
secp256k1_musig_partial_sig partial_sig;
};
/* Number of public keys involved in creating the aggregate signature */
#define N_SIGNERS 3
/* Create a key pair, store it in signer_secrets->keypair and signer->pubkey */
static int create_keypair(const secp256k1_context* ctx, struct signer_secrets *signer_secrets, struct signer *signer) {
unsigned char seckey[32];
if (!fill_random(seckey, sizeof(seckey))) {
printf("Failed to generate randomness\n");
return 0;
}
/* Try to create a keypair with a valid context. This only fails if the
* secret key is zero or out of range (greater than secp256k1's order). Note
* that the probability of this occurring is negligible with a properly
* functioning random number generator. */
if (!secp256k1_keypair_create(ctx, &signer_secrets->keypair, seckey)) {
return 0;
}
if (!secp256k1_keypair_pub(ctx, &signer->pubkey, &signer_secrets->keypair)) {
return 0;
}
secure_erase(seckey, sizeof(seckey));
return 1;
}
/* Tweak the pubkey corresponding to the provided keyagg cache, update the cache
* and return the tweaked aggregate pk. */
static int tweak(const secp256k1_context* ctx, secp256k1_xonly_pubkey *agg_pk, secp256k1_musig_keyagg_cache *cache) {
secp256k1_pubkey output_pk;
/* For BIP 32 tweaking the plain_tweak is set to a hash as defined in BIP
* 32. */
unsigned char plain_tweak[32] = "this could be a BIP32 tweak....";
/* For Taproot tweaking the xonly_tweak is set to the TapTweak hash as
* defined in BIP 341 */
unsigned char xonly_tweak[32] = "this could be a Taproot tweak..";
/* Plain tweaking which, for example, allows deriving multiple child
* public keys from a single aggregate key using BIP32 */
if (!secp256k1_musig_pubkey_ec_tweak_add(ctx, NULL, cache, plain_tweak)) {
return 0;
}
/* Note that we did not provide an output_pk argument, because the
* resulting pk is also saved in the cache and so if one is just interested
* in signing, the output_pk argument is unnecessary. On the other hand, if
* one is not interested in signing, the same output_pk can be obtained by
* calling `secp256k1_musig_pubkey_get` right after key aggregation to get
* the full pubkey and then call `secp256k1_ec_pubkey_tweak_add`. */
/* Xonly tweaking which, for example, allows creating Taproot commitments */
if (!secp256k1_musig_pubkey_xonly_tweak_add(ctx, &output_pk, cache, xonly_tweak)) {
return 0;
}
/* Note that if we wouldn't care about signing, we can arrive at the same
* output_pk by providing the untweaked public key to
* `secp256k1_xonly_pubkey_tweak_add` (after converting it to an xonly pubkey
* if necessary with `secp256k1_xonly_pubkey_from_pubkey`). */
/* Now we convert the output_pk to an xonly pubkey to allow to later verify
* the Schnorr signature against it. For this purpose we can ignore the
* `pk_parity` output argument; we would need it if we would have to open
* the Taproot commitment. */
if (!secp256k1_xonly_pubkey_from_pubkey(ctx, agg_pk, NULL, &output_pk)) {
return 0;
}
return 1;
}
/* Sign a message hash with the given key pairs and store the result in sig */
static int sign(const secp256k1_context* ctx, struct signer_secrets *signer_secrets, struct signer *signer, const secp256k1_musig_keyagg_cache *cache, const unsigned char *msg32, unsigned char *sig64) {
int i;
const secp256k1_musig_pubnonce *pubnonces[N_SIGNERS];
const secp256k1_musig_partial_sig *partial_sigs[N_SIGNERS];
/* The same for all signers */
secp256k1_musig_session session;
secp256k1_musig_aggnonce agg_pubnonce;
for (i = 0; i < N_SIGNERS; i++) {
unsigned char seckey[32];
unsigned char session_secrand[32];
/* Create random session ID. It is absolutely necessary that the session ID
* is unique for every call of secp256k1_musig_nonce_gen. Otherwise
* it's trivial for an attacker to extract the secret key! */
if (!fill_random(session_secrand, sizeof(session_secrand))) {
return 0;
}
if (!secp256k1_keypair_sec(ctx, seckey, &signer_secrets[i].keypair)) {
return 0;
}
/* Initialize session and create secret nonce for signing and public
* nonce to send to the other signers. */
if (!secp256k1_musig_nonce_gen(ctx, &signer_secrets[i].secnonce, &signer[i].pubnonce, session_secrand, seckey, &signer[i].pubkey, msg32, NULL, NULL)) {
return 0;
}
pubnonces[i] = &signer[i].pubnonce;
secure_erase(seckey, sizeof(seckey));
}
/* Communication round 1: Every signer sends their pubnonce to the
* coordinator. The coordinator runs secp256k1_musig_nonce_agg and sends
* agg_pubnonce to each signer */
if (!secp256k1_musig_nonce_agg(ctx, &agg_pubnonce, pubnonces, N_SIGNERS)) {
return 0;
}
/* Every signer creates a partial signature */
for (i = 0; i < N_SIGNERS; i++) {
/* Initialize the signing session by processing the aggregate nonce */
if (!secp256k1_musig_nonce_process(ctx, &session, &agg_pubnonce, msg32, cache)) {
return 0;
}
/* partial_sign will clear the secnonce by setting it to 0. That's because
* you must _never_ reuse the secnonce (or use the same session_secrand to
* create a secnonce). If you do, you effectively reuse the nonce and
* leak the secret key. */
if (!secp256k1_musig_partial_sign(ctx, &signer[i].partial_sig, &signer_secrets[i].secnonce, &signer_secrets[i].keypair, cache, &session)) {
return 0;
}
partial_sigs[i] = &signer[i].partial_sig;
}
/* Communication round 2: Every signer sends their partial signature to the
* coordinator, who verifies the partial signatures and aggregates them. */
for (i = 0; i < N_SIGNERS; i++) {
/* To check whether signing was successful, it suffices to either verify
* the aggregate signature with the aggregate public key using
* secp256k1_schnorrsig_verify, or verify all partial signatures of all
* signers individually. Verifying the aggregate signature is cheaper but
* verifying the individual partial signatures has the advantage that it
* can be used to determine which of the partial signatures are invalid
* (if any), i.e., which of the partial signatures cause the aggregate
* signature to be invalid and thus the protocol run to fail. It's also
* fine to first verify the aggregate sig, and only verify the individual
* sigs if it does not work.
*/
if (!secp256k1_musig_partial_sig_verify(ctx, &signer[i].partial_sig, &signer[i].pubnonce, &signer[i].pubkey, cache, &session)) {
return 0;
}
}
return secp256k1_musig_partial_sig_agg(ctx, sig64, &session, partial_sigs, N_SIGNERS);
}
int main(void) {
secp256k1_context* ctx;
int i;
struct signer_secrets signer_secrets[N_SIGNERS];
struct signer signers[N_SIGNERS];
const secp256k1_pubkey *pubkeys_ptr[N_SIGNERS];
secp256k1_xonly_pubkey agg_pk;
secp256k1_musig_keyagg_cache cache;
unsigned char msg[32] = "this_could_be_the_hash_of_a_msg";
unsigned char sig[64];
/* Create a secp256k1 context */
ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
printf("Creating key pairs......");
fflush(stdout);
for (i = 0; i < N_SIGNERS; i++) {
if (!create_keypair(ctx, &signer_secrets[i], &signers[i])) {
printf("FAILED\n");
return EXIT_FAILURE;
}
pubkeys_ptr[i] = &signers[i].pubkey;
}
printf("ok\n");
/* The aggregate public key produced by secp256k1_musig_pubkey_agg depends
* on the order of the provided public keys. If there is no canonical order
* of the signers, the individual public keys can optionally be sorted with
* secp256k1_ec_pubkey_sort to ensure that the aggregate public key is
* independent of the order of signers. */
printf("Sorting public keys.....");
fflush(stdout);
if (!secp256k1_ec_pubkey_sort(ctx, pubkeys_ptr, N_SIGNERS)) {
printf("FAILED\n");
return EXIT_FAILURE;
}
printf("ok\n");
printf("Combining public keys...");
fflush(stdout);
/* If you just want to aggregate and not sign, you can call
* secp256k1_musig_pubkey_agg with the keyagg_cache argument set to NULL
* while providing a non-NULL agg_pk argument. */
if (!secp256k1_musig_pubkey_agg(ctx, NULL, &cache, pubkeys_ptr, N_SIGNERS)) {
printf("FAILED\n");
return EXIT_FAILURE;
}
printf("ok\n");
printf("Tweaking................");
fflush(stdout);
/* Optionally tweak the aggregate key */
if (!tweak(ctx, &agg_pk, &cache)) {
printf("FAILED\n");
return EXIT_FAILURE;
}
printf("ok\n");
printf("Signing message.........");
fflush(stdout);
if (!sign(ctx, signer_secrets, signers, &cache, msg, sig)) {
printf("FAILED\n");
return EXIT_FAILURE;
}
printf("ok\n");
printf("Verifying signature.....");
fflush(stdout);
if (!secp256k1_schnorrsig_verify(ctx, sig, msg, 32, &agg_pk)) {
printf("FAILED\n");
return EXIT_FAILURE;
}
printf("ok\n");
/* It's best practice to try to clear secrets from memory after using them.
* This is done because some bugs can allow an attacker to leak memory, for
* example through "out of bounds" array access (see Heartbleed), or the OS
* swapping them to disk. Hence, we overwrite secret key material with zeros.
*
* Here we are preventing these writes from being optimized out, as any good compiler
* will remove any writes that aren't used. */
for (i = 0; i < N_SIGNERS; i++) {
secure_erase(&signer_secrets[i], sizeof(signer_secrets[i]));
}
secp256k1_context_destroy(ctx);
return EXIT_SUCCESS;
}

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/*************************************************************************
* Written in 2020-2022 by Elichai Turkel *
* To the extent possible under law, the author(s) have dedicated all *
* copyright and related and neighboring rights to the software in this *
* file to the public domain worldwide. This software is distributed *
* without any warranty. For the CC0 Public Domain Dedication, see *
* EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
*************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include <string.h>
#include <secp256k1.h>
#include <secp256k1_extrakeys.h>
#include <secp256k1_schnorrsig.h>
#include "examples_util.h"
int main(void) {
unsigned char msg[] = {'H', 'e', 'l', 'l', 'o', ' ', 'W', 'o', 'r', 'l', 'd', '!'};
unsigned char msg_hash[32];
unsigned char tag[] = {'m', 'y', '_', 'f', 'a', 'n', 'c', 'y', '_', 'p', 'r', 'o', 't', 'o', 'c', 'o', 'l'};
unsigned char seckey[32];
unsigned char randomize[32];
unsigned char auxiliary_rand[32];
unsigned char serialized_pubkey[32];
unsigned char signature[64];
int is_signature_valid, is_signature_valid2;
int return_val;
secp256k1_xonly_pubkey pubkey;
secp256k1_keypair keypair;
/* Before we can call actual API functions, we need to create a "context". */
secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
if (!fill_random(randomize, sizeof(randomize))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
/* Randomizing the context is recommended to protect against side-channel
* leakage See `secp256k1_context_randomize` in secp256k1.h for more
* information about it. This should never fail. */
return_val = secp256k1_context_randomize(ctx, randomize);
assert(return_val);
/*** Key Generation ***/
if (!fill_random(seckey, sizeof(seckey))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
/* Try to create a keypair with a valid context. This only fails if the
* secret key is zero or out of range (greater than secp256k1's order). Note
* that the probability of this occurring is negligible with a properly
* functioning random number generator. */
if (!secp256k1_keypair_create(ctx, &keypair, seckey)) {
printf("Generated secret key is invalid. This indicates an issue with the random number generator.\n");
return EXIT_FAILURE;
}
/* Extract the X-only public key from the keypair. We pass NULL for
* `pk_parity` as the parity isn't needed for signing or verification.
* `secp256k1_keypair_xonly_pub` supports returning the parity for
* other use cases such as tests or verifying Taproot tweaks.
* This should never fail with a valid context and public key. */
return_val = secp256k1_keypair_xonly_pub(ctx, &pubkey, NULL, &keypair);
assert(return_val);
/* Serialize the public key. Should always return 1 for a valid public key. */
return_val = secp256k1_xonly_pubkey_serialize(ctx, serialized_pubkey, &pubkey);
assert(return_val);
/*** Signing ***/
/* Instead of signing (possibly very long) messages directly, we sign a
* 32-byte hash of the message in this example.
*
* We use secp256k1_tagged_sha256 to create this hash. This function expects
* a context-specific "tag", which restricts the context in which the signed
* messages should be considered valid. For example, if protocol A mandates
* to use the tag "my_fancy_protocol" and protocol B mandates to use the tag
* "my_boring_protocol", then signed messages from protocol A will never be
* valid in protocol B (and vice versa), even if keys are reused across
* protocols. This implements "domain separation", which is considered good
* practice. It avoids attacks in which users are tricked into signing a
* message that has intended consequences in the intended context (e.g.,
* protocol A) but would have unintended consequences if it were valid in
* some other context (e.g., protocol B). */
return_val = secp256k1_tagged_sha256(ctx, msg_hash, tag, sizeof(tag), msg, sizeof(msg));
assert(return_val);
/* Generate 32 bytes of randomness to use with BIP-340 schnorr signing. */
if (!fill_random(auxiliary_rand, sizeof(auxiliary_rand))) {
printf("Failed to generate randomness\n");
return EXIT_FAILURE;
}
/* Generate a Schnorr signature.
*
* We use the secp256k1_schnorrsig_sign32 function that provides a simple
* interface for signing 32-byte messages (which in our case is a hash of
* the actual message). BIP-340 recommends passing 32 bytes of randomness
* to the signing function to improve security against side-channel attacks.
* Signing with a valid context, a 32-byte message, a verified keypair, and
* any 32 bytes of auxiliary random data should never fail. */
return_val = secp256k1_schnorrsig_sign32(ctx, signature, msg_hash, &keypair, auxiliary_rand);
assert(return_val);
/*** Verification ***/
/* Deserialize the public key. This will return 0 if the public key can't
* be parsed correctly */
if (!secp256k1_xonly_pubkey_parse(ctx, &pubkey, serialized_pubkey)) {
printf("Failed parsing the public key\n");
return EXIT_FAILURE;
}
/* Compute the tagged hash on the received messages using the same tag as the signer. */
return_val = secp256k1_tagged_sha256(ctx, msg_hash, tag, sizeof(tag), msg, sizeof(msg));
assert(return_val);
/* Verify a signature. This will return 1 if it's valid and 0 if it's not. */
is_signature_valid = secp256k1_schnorrsig_verify(ctx, signature, msg_hash, 32, &pubkey);
printf("Is the signature valid? %s\n", is_signature_valid ? "true" : "false");
printf("Secret Key: ");
print_hex(seckey, sizeof(seckey));
printf("Public Key: ");
print_hex(serialized_pubkey, sizeof(serialized_pubkey));
printf("Signature: ");
print_hex(signature, sizeof(signature));
/* This will clear everything from the context and free the memory */
secp256k1_context_destroy(ctx);
/* Bonus example: if all we need is signature verification (and no key
generation or signing), we don't need to use a context created via
secp256k1_context_create(). We can simply use the static (i.e., global)
context secp256k1_context_static. See its description in
include/secp256k1.h for details. */
is_signature_valid2 = secp256k1_schnorrsig_verify(secp256k1_context_static,
signature, msg_hash, 32, &pubkey);
assert(is_signature_valid2 == is_signature_valid);
/* It's best practice to try to clear secrets from memory after using them.
* This is done because some bugs can allow an attacker to leak memory, for
* example through "out of bounds" array access (see Heartbleed), or the OS
* swapping them to disk. Hence, we overwrite the secret key buffer with zeros.
*
* Here we are preventing these writes from being optimized out, as any good compiler
* will remove any writes that aren't used. */
secure_erase(seckey, sizeof(seckey));
return EXIT_SUCCESS;
}