2015-10-26 14:54:21 +00:00
|
|
|
/**********************************************************************
|
|
|
|
* Copyright (c) 2013, 2014 Pieter Wuille *
|
|
|
|
* Distributed under the MIT software license, see the accompanying *
|
|
|
|
* file COPYING or http://www.opensource.org/licenses/mit-license.php.*
|
|
|
|
**********************************************************************/
|
|
|
|
|
2018-07-09 11:17:44 +00:00
|
|
|
#ifndef SECP256K1_ECMULT_GEN_H
|
|
|
|
#define SECP256K1_ECMULT_GEN_H
|
2015-10-26 14:54:21 +00:00
|
|
|
|
|
|
|
#include "scalar.h"
|
|
|
|
#include "group.h"
|
|
|
|
|
|
|
|
typedef struct {
|
|
|
|
/* For accelerating the computation of a*G:
|
|
|
|
* To harden against timing attacks, use the following mechanism:
|
|
|
|
* * Break up the multiplicand into groups of 4 bits, called n_0, n_1, n_2, ..., n_63.
|
|
|
|
* * Compute sum(n_i * 16^i * G + U_i, i=0..63), where:
|
|
|
|
* * U_i = U * 2^i (for i=0..62)
|
|
|
|
* * U_i = U * (1-2^63) (for i=63)
|
|
|
|
* where U is a point with no known corresponding scalar. Note that sum(U_i, i=0..63) = 0.
|
|
|
|
* For each i, and each of the 16 possible values of n_i, (n_i * 16^i * G + U_i) is
|
|
|
|
* precomputed (call it prec(i, n_i)). The formula now becomes sum(prec(i, n_i), i=0..63).
|
|
|
|
* None of the resulting prec group elements have a known scalar, and neither do any of
|
|
|
|
* the intermediate sums while computing a*G.
|
|
|
|
*/
|
2019-12-11 15:55:00 +00:00
|
|
|
rustsecp256k1_v0_1_1_ge_storage (*prec)[64][16]; /* prec[j][i] = 16^j * i * G + U_i */
|
|
|
|
rustsecp256k1_v0_1_1_scalar blind;
|
|
|
|
rustsecp256k1_v0_1_1_gej initial;
|
|
|
|
} rustsecp256k1_v0_1_1_ecmult_gen_context;
|
2015-10-26 14:54:21 +00:00
|
|
|
|
2019-05-28 12:23:28 +00:00
|
|
|
static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE;
|
2019-12-11 15:55:00 +00:00
|
|
|
static void rustsecp256k1_v0_1_1_ecmult_gen_context_init(rustsecp256k1_v0_1_1_ecmult_gen_context* ctx);
|
|
|
|
static void rustsecp256k1_v0_1_1_ecmult_gen_context_build(rustsecp256k1_v0_1_1_ecmult_gen_context* ctx, void **prealloc);
|
|
|
|
static void rustsecp256k1_v0_1_1_ecmult_gen_context_finalize_memcpy(rustsecp256k1_v0_1_1_ecmult_gen_context *dst, const rustsecp256k1_v0_1_1_ecmult_gen_context* src);
|
|
|
|
static void rustsecp256k1_v0_1_1_ecmult_gen_context_clear(rustsecp256k1_v0_1_1_ecmult_gen_context* ctx);
|
|
|
|
static int rustsecp256k1_v0_1_1_ecmult_gen_context_is_built(const rustsecp256k1_v0_1_1_ecmult_gen_context* ctx);
|
2015-10-26 14:54:21 +00:00
|
|
|
|
|
|
|
/** Multiply with the generator: R = a*G */
|
2019-12-11 15:55:00 +00:00
|
|
|
static void rustsecp256k1_v0_1_1_ecmult_gen(const rustsecp256k1_v0_1_1_ecmult_gen_context* ctx, rustsecp256k1_v0_1_1_gej *r, const rustsecp256k1_v0_1_1_scalar *a);
|
2015-10-26 14:54:21 +00:00
|
|
|
|
2019-12-11 15:55:00 +00:00
|
|
|
static void rustsecp256k1_v0_1_1_ecmult_gen_blind(rustsecp256k1_v0_1_1_ecmult_gen_context *ctx, const unsigned char *seed32);
|
2015-10-26 14:54:21 +00:00
|
|
|
|
2018-07-09 11:17:44 +00:00
|
|
|
#endif /* SECP256K1_ECMULT_GEN_H */
|