rust-secp256k1-unsafe-fast/secp256k1-sys/depend/secp256k1/src/ecmult_gen_impl.h

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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 http://www.opensource.org/licenses/mit-license.php.*
**********************************************************************/
#ifndef SECP256K1_ECMULT_GEN_IMPL_H
#define SECP256K1_ECMULT_GEN_IMPL_H
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#include "util.h"
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#include "scalar.h"
#include "group.h"
#include "ecmult_gen.h"
#include "hash_impl.h"
#ifdef USE_ECMULT_STATIC_PRECOMPUTATION
#include "ecmult_static_context.h"
#endif
#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE = ROUND_TO_ALIGN(sizeof(*((rustsecp256k1_v0_2_0_ecmult_gen_context*) NULL)->prec));
#else
static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE = 0;
#endif
static void rustsecp256k1_v0_2_0_ecmult_gen_context_init(rustsecp256k1_v0_2_0_ecmult_gen_context *ctx) {
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ctx->prec = NULL;
}
static void rustsecp256k1_v0_2_0_ecmult_gen_context_build(rustsecp256k1_v0_2_0_ecmult_gen_context *ctx, void **prealloc) {
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#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
rustsecp256k1_v0_2_0_ge prec[ECMULT_GEN_PREC_N * ECMULT_GEN_PREC_G];
rustsecp256k1_v0_2_0_gej gj;
rustsecp256k1_v0_2_0_gej nums_gej;
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int i, j;
size_t const prealloc_size = SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE;
void* const base = *prealloc;
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#endif
if (ctx->prec != NULL) {
return;
}
#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
ctx->prec = (rustsecp256k1_v0_2_0_ge_storage (*)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G])manual_alloc(prealloc, prealloc_size, base, prealloc_size);
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/* get the generator */
rustsecp256k1_v0_2_0_gej_set_ge(&gj, &rustsecp256k1_v0_2_0_ge_const_g);
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/* 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";
rustsecp256k1_v0_2_0_fe nums_x;
rustsecp256k1_v0_2_0_ge nums_ge;
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int r;
r = rustsecp256k1_v0_2_0_fe_set_b32(&nums_x, nums_b32);
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(void)r;
VERIFY_CHECK(r);
r = rustsecp256k1_v0_2_0_ge_set_xo_var(&nums_ge, &nums_x, 0);
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(void)r;
VERIFY_CHECK(r);
rustsecp256k1_v0_2_0_gej_set_ge(&nums_gej, &nums_ge);
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/* Add G to make the bits in x uniformly distributed. */
rustsecp256k1_v0_2_0_gej_add_ge_var(&nums_gej, &nums_gej, &rustsecp256k1_v0_2_0_ge_const_g, NULL);
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}
/* compute prec. */
{
rustsecp256k1_v0_2_0_gej precj[ECMULT_GEN_PREC_N * ECMULT_GEN_PREC_G]; /* Jacobian versions of prec. */
rustsecp256k1_v0_2_0_gej gbase;
rustsecp256k1_v0_2_0_gej numsbase;
gbase = gj; /* PREC_G^j * G */
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numsbase = nums_gej; /* 2^j * nums. */
for (j = 0; j < ECMULT_GEN_PREC_N; j++) {
/* Set precj[j*PREC_G .. j*PREC_G+(PREC_G-1)] to (numsbase, numsbase + gbase, ..., numsbase + (PREC_G-1)*gbase). */
precj[j*ECMULT_GEN_PREC_G] = numsbase;
for (i = 1; i < ECMULT_GEN_PREC_G; i++) {
rustsecp256k1_v0_2_0_gej_add_var(&precj[j*ECMULT_GEN_PREC_G + i], &precj[j*ECMULT_GEN_PREC_G + i - 1], &gbase, NULL);
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}
/* Multiply gbase by PREC_G. */
for (i = 0; i < ECMULT_GEN_PREC_B; i++) {
rustsecp256k1_v0_2_0_gej_double_var(&gbase, &gbase, NULL);
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}
/* Multiply numbase by 2. */
rustsecp256k1_v0_2_0_gej_double_var(&numsbase, &numsbase, NULL);
if (j == ECMULT_GEN_PREC_N - 2) {
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/* In the last iteration, numsbase is (1 - 2^j) * nums instead. */
rustsecp256k1_v0_2_0_gej_neg(&numsbase, &numsbase);
rustsecp256k1_v0_2_0_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL);
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}
}
rustsecp256k1_v0_2_0_ge_set_all_gej_var(prec, precj, ECMULT_GEN_PREC_N * ECMULT_GEN_PREC_G);
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}
for (j = 0; j < ECMULT_GEN_PREC_N; j++) {
for (i = 0; i < ECMULT_GEN_PREC_G; i++) {
rustsecp256k1_v0_2_0_ge_to_storage(&(*ctx->prec)[j][i], &prec[j*ECMULT_GEN_PREC_G + i]);
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}
}
#else
(void)prealloc;
ctx->prec = (rustsecp256k1_v0_2_0_ge_storage (*)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G])rustsecp256k1_v0_2_0_ecmult_static_context;
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#endif
rustsecp256k1_v0_2_0_ecmult_gen_blind(ctx, NULL);
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}
static int rustsecp256k1_v0_2_0_ecmult_gen_context_is_built(const rustsecp256k1_v0_2_0_ecmult_gen_context* ctx) {
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return ctx->prec != NULL;
}
static void rustsecp256k1_v0_2_0_ecmult_gen_context_finalize_memcpy(rustsecp256k1_v0_2_0_ecmult_gen_context *dst, const rustsecp256k1_v0_2_0_ecmult_gen_context *src) {
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#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
if (src->prec != NULL) {
/* We cast to void* first to suppress a -Wcast-align warning. */
dst->prec = (rustsecp256k1_v0_2_0_ge_storage (*)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G])(void*)((unsigned char*)dst + ((unsigned char*)src->prec - (unsigned char*)src));
}
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#else
(void)dst, (void)src;
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#endif
}
static void rustsecp256k1_v0_2_0_ecmult_gen_context_clear(rustsecp256k1_v0_2_0_ecmult_gen_context *ctx) {
rustsecp256k1_v0_2_0_scalar_clear(&ctx->blind);
rustsecp256k1_v0_2_0_gej_clear(&ctx->initial);
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ctx->prec = NULL;
}
static void rustsecp256k1_v0_2_0_ecmult_gen(const rustsecp256k1_v0_2_0_ecmult_gen_context *ctx, rustsecp256k1_v0_2_0_gej *r, const rustsecp256k1_v0_2_0_scalar *gn) {
rustsecp256k1_v0_2_0_ge add;
rustsecp256k1_v0_2_0_ge_storage adds;
rustsecp256k1_v0_2_0_scalar gnb;
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int bits;
int i, j;
memset(&adds, 0, sizeof(adds));
*r = ctx->initial;
/* Blind scalar/point multiplication by computing (n-b)G + bG instead of nG. */
rustsecp256k1_v0_2_0_scalar_add(&gnb, gn, &ctx->blind);
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add.infinity = 0;
for (j = 0; j < ECMULT_GEN_PREC_N; j++) {
bits = rustsecp256k1_v0_2_0_scalar_get_bits(&gnb, j * ECMULT_GEN_PREC_B, ECMULT_GEN_PREC_B);
for (i = 0; i < ECMULT_GEN_PREC_G; i++) {
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/** This uses a conditional move to avoid any secret data in array indexes.
* _Any_ use of secret indexes has been demonstrated to result in timing
* sidechannels, even when the cache-line access patterns are uniform.
* See also:
* "A word of warning", CHES 2013 Rump Session, by Daniel J. Bernstein and Peter Schwabe
* (https://cryptojedi.org/peter/data/chesrump-20130822.pdf) and
* "Cache Attacks and Countermeasures: the Case of AES", RSA 2006,
* by Dag Arne Osvik, Adi Shamir, and Eran Tromer
* (http://www.tau.ac.il/~tromer/papers/cache.pdf)
*/
rustsecp256k1_v0_2_0_ge_storage_cmov(&adds, &(*ctx->prec)[j][i], i == bits);
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}
rustsecp256k1_v0_2_0_ge_from_storage(&add, &adds);
rustsecp256k1_v0_2_0_gej_add_ge(r, r, &add);
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}
bits = 0;
rustsecp256k1_v0_2_0_ge_clear(&add);
rustsecp256k1_v0_2_0_scalar_clear(&gnb);
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}
/* Setup blinding values for rustsecp256k1_v0_2_0_ecmult_gen. */
static void rustsecp256k1_v0_2_0_ecmult_gen_blind(rustsecp256k1_v0_2_0_ecmult_gen_context *ctx, const unsigned char *seed32) {
rustsecp256k1_v0_2_0_scalar b;
rustsecp256k1_v0_2_0_gej gb;
rustsecp256k1_v0_2_0_fe s;
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unsigned char nonce32[32];
rustsecp256k1_v0_2_0_rfc6979_hmac_sha256 rng;
int overflow;
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unsigned char keydata[64] = {0};
if (seed32 == NULL) {
/* When seed is NULL, reset the initial point and blinding value. */
rustsecp256k1_v0_2_0_gej_set_ge(&ctx->initial, &rustsecp256k1_v0_2_0_ge_const_g);
rustsecp256k1_v0_2_0_gej_neg(&ctx->initial, &ctx->initial);
rustsecp256k1_v0_2_0_scalar_set_int(&ctx->blind, 1);
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}
/* The prior blinding value (if not reset) is chained forward by including it in the hash. */
rustsecp256k1_v0_2_0_scalar_get_b32(nonce32, &ctx->blind);
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/** Using a CSPRNG allows a failure free interface, avoids needing large amounts of random data,
* 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.
*/
memcpy(keydata, nonce32, 32);
if (seed32 != NULL) {
memcpy(keydata + 32, seed32, 32);
}
rustsecp256k1_v0_2_0_rfc6979_hmac_sha256_initialize(&rng, keydata, seed32 ? 64 : 32);
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memset(keydata, 0, sizeof(keydata));
/* Accept unobservably small non-uniformity. */
rustsecp256k1_v0_2_0_rfc6979_hmac_sha256_generate(&rng, nonce32, 32);
overflow = !rustsecp256k1_v0_2_0_fe_set_b32(&s, nonce32);
overflow |= rustsecp256k1_v0_2_0_fe_is_zero(&s);
rustsecp256k1_v0_2_0_fe_cmov(&s, &rustsecp256k1_v0_2_0_fe_one, overflow);
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/* Randomize the projection to defend against multiplier sidechannels. */
rustsecp256k1_v0_2_0_gej_rescale(&ctx->initial, &s);
rustsecp256k1_v0_2_0_fe_clear(&s);
rustsecp256k1_v0_2_0_rfc6979_hmac_sha256_generate(&rng, nonce32, 32);
rustsecp256k1_v0_2_0_scalar_set_b32(&b, nonce32, NULL);
/* A blinding value of 0 works, but would undermine the projection hardening. */
rustsecp256k1_v0_2_0_scalar_cmov(&b, &rustsecp256k1_v0_2_0_scalar_one, rustsecp256k1_v0_2_0_scalar_is_zero(&b));
rustsecp256k1_v0_2_0_rfc6979_hmac_sha256_finalize(&rng);
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memset(nonce32, 0, 32);
rustsecp256k1_v0_2_0_ecmult_gen(ctx, &gb, &b);
rustsecp256k1_v0_2_0_scalar_negate(&b, &b);
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ctx->blind = b;
ctx->initial = gb;
rustsecp256k1_v0_2_0_scalar_clear(&b);
rustsecp256k1_v0_2_0_gej_clear(&gb);
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}
#endif /* SECP256K1_ECMULT_GEN_IMPL_H */