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iwd/src/ecc.h
James Prestwood 0b452b9200 ecc: added Y^2 and legendre API's
SAE requires checking a values legendre symbol. Also added a helper
for computing Y^2, or, calculating the sum for the X side of the
equation.
2018-08-07 17:40:55 -05:00

94 lines
2.9 KiB
C

/*
*
* Wireless daemon for Linux
*
* Copyright (C) 2018 Intel Corporation. All rights reserved.
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*
*/
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <stdio.h>
#include <ell/ell.h>
/* 256-bit curve */
#define ECC_BYTES 32
/* Number of uint64_t's needed */
#define NUM_ECC_DIGITS (ECC_BYTES / 8)
#define CURVE_P_32 { 0xFFFFFFFFFFFFFFFFull, 0x00000000FFFFFFFFull, \
0x0000000000000000ull, 0xFFFFFFFF00000001ull }
#define CURVE_G_32 { \
{ 0xF4A13945D898C296ull, 0x77037D812DEB33A0ull, \
0xF8BCE6E563A440F2ull, 0x6B17D1F2E12C4247ull }, \
{ 0xCBB6406837BF51F5ull, 0x2BCE33576B315ECEull, \
0x8EE7EB4A7C0F9E16ull, 0x4FE342E2FE1A7F9Bull } \
}
#define CURVE_N_32 { 0xF3B9CAC2FC632551ull, 0xBCE6FAADA7179E84ull, \
0xFFFFFFFFFFFFFFFFull, 0xFFFFFFFF00000000ull }
#define CURVE_B_32 { 0x3BCE3C3E27D2604Bull, 0x651D06B0CC53B0F6ull, \
0xB3EBBD55769886BCull, 0x5AC635D8AA3A93E7ull }
struct ecc_point {
uint64_t x[NUM_ECC_DIGITS];
uint64_t y[NUM_ECC_DIGITS];
};
void ecc_point_mult(struct ecc_point *result, const struct ecc_point *point,
uint64_t *scalar, uint64_t *initial_z, int num_bits);
void ecc_point_add(struct ecc_point *ret, struct ecc_point *p,
struct ecc_point *q);
bool ecc_valid_point(struct ecc_point *point);
void ecc_be2native(uint64_t bytes[NUM_ECC_DIGITS]);
void ecc_native2be(uint64_t native[NUM_ECC_DIGITS]);
bool ecc_compute_y(uint64_t *y, uint64_t *x);
void vli_mod_inv(uint64_t *result, const uint64_t *input, const uint64_t *mod);
void vli_mod_sub(uint64_t *result, const uint64_t *left, const uint64_t *right,
const uint64_t *mod);
void vli_mod_add(uint64_t *result, const uint64_t *left, const uint64_t *right,
const uint64_t *mod);
uint64_t vli_sub(uint64_t *result, const uint64_t *left, const uint64_t *right);
void vli_mod_mult_fast(uint64_t *result, const uint64_t *left,
const uint64_t *right);
void vli_mod_exp(uint64_t *result, uint64_t *base, uint64_t *exp,
const uint64_t *mod);
int vli_cmp(const uint64_t *left, const uint64_t *right);
unsigned int vli_num_bits(const uint64_t *vli);
int vli_legendre(uint64_t *val, const uint64_t *p);
void ecc_compute_y_sqr(uint64_t *y_sqr, uint64_t *x);