196 lines
5.3 KiB
C
196 lines
5.3 KiB
C
/*
|
|
* Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
|
|
*
|
|
* Licensed under the Apache License 2.0 (the "License"). You may not use
|
|
* this file except in compliance with the License. You can obtain a copy
|
|
* in the file LICENSE in the source distribution or at
|
|
* https://www.openssl.org/source/license.html
|
|
*/
|
|
|
|
#include "internal/cryptlib.h"
|
|
#include "bn_local.h"
|
|
|
|
/*
|
|
* Determine the modified width-(w+1) Non-Adjacent Form (wNAF) of 'scalar'.
|
|
* This is an array r[] of values that are either zero or odd with an
|
|
* absolute value less than 2^w satisfying
|
|
* scalar = \sum_j r[j]*2^j
|
|
* where at most one of any w+1 consecutive digits is non-zero
|
|
* with the exception that the most significant digit may be only
|
|
* w-1 zeros away from that next non-zero digit.
|
|
*/
|
|
signed char *bn_compute_wNAF(const BIGNUM *scalar, int w, size_t *ret_len)
|
|
{
|
|
int window_val;
|
|
signed char *r = NULL;
|
|
int sign = 1;
|
|
int bit, next_bit, mask;
|
|
size_t len = 0, j;
|
|
|
|
if (BN_is_zero(scalar)) {
|
|
r = OPENSSL_malloc(1);
|
|
if (r == NULL)
|
|
goto err;
|
|
r[0] = 0;
|
|
*ret_len = 1;
|
|
return r;
|
|
}
|
|
|
|
if (w <= 0 || w > 7) { /* 'signed char' can represent integers with
|
|
* absolute values less than 2^7 */
|
|
ERR_raise(ERR_LIB_BN, ERR_R_INTERNAL_ERROR);
|
|
goto err;
|
|
}
|
|
bit = 1 << w; /* at most 128 */
|
|
next_bit = bit << 1; /* at most 256 */
|
|
mask = next_bit - 1; /* at most 255 */
|
|
|
|
if (BN_is_negative(scalar)) {
|
|
sign = -1;
|
|
}
|
|
|
|
if (scalar->d == NULL || scalar->top == 0) {
|
|
ERR_raise(ERR_LIB_BN, ERR_R_INTERNAL_ERROR);
|
|
goto err;
|
|
}
|
|
|
|
len = BN_num_bits(scalar);
|
|
r = OPENSSL_malloc(len + 1); /*
|
|
* Modified wNAF may be one digit longer than binary representation
|
|
* (*ret_len will be set to the actual length, i.e. at most
|
|
* BN_num_bits(scalar) + 1)
|
|
*/
|
|
if (r == NULL)
|
|
goto err;
|
|
window_val = scalar->d[0] & mask;
|
|
j = 0;
|
|
while ((window_val != 0) || (j + w + 1 < len)) { /* if j+w+1 >= len,
|
|
* window_val will not
|
|
* increase */
|
|
int digit = 0;
|
|
|
|
/* 0 <= window_val <= 2^(w+1) */
|
|
|
|
if (window_val & 1) {
|
|
/* 0 < window_val < 2^(w+1) */
|
|
|
|
if (window_val & bit) {
|
|
digit = window_val - next_bit; /* -2^w < digit < 0 */
|
|
|
|
#if 1 /* modified wNAF */
|
|
if (j + w + 1 >= len) {
|
|
/*
|
|
* Special case for generating modified wNAFs:
|
|
* no new bits will be added into window_val,
|
|
* so using a positive digit here will decrease
|
|
* the total length of the representation
|
|
*/
|
|
|
|
digit = window_val & (mask >> 1); /* 0 < digit < 2^w */
|
|
}
|
|
#endif
|
|
} else {
|
|
digit = window_val; /* 0 < digit < 2^w */
|
|
}
|
|
|
|
if (digit <= -bit || digit >= bit || !(digit & 1)) {
|
|
ERR_raise(ERR_LIB_BN, ERR_R_INTERNAL_ERROR);
|
|
goto err;
|
|
}
|
|
|
|
window_val -= digit;
|
|
|
|
/*
|
|
* now window_val is 0 or 2^(w+1) in standard wNAF generation;
|
|
* for modified window NAFs, it may also be 2^w
|
|
*/
|
|
if (window_val != 0 && window_val != next_bit
|
|
&& window_val != bit) {
|
|
ERR_raise(ERR_LIB_BN, ERR_R_INTERNAL_ERROR);
|
|
goto err;
|
|
}
|
|
}
|
|
|
|
r[j++] = sign * digit;
|
|
|
|
window_val >>= 1;
|
|
window_val += bit * BN_is_bit_set(scalar, j + w);
|
|
|
|
if (window_val > next_bit) {
|
|
ERR_raise(ERR_LIB_BN, ERR_R_INTERNAL_ERROR);
|
|
goto err;
|
|
}
|
|
}
|
|
|
|
if (j > len + 1) {
|
|
ERR_raise(ERR_LIB_BN, ERR_R_INTERNAL_ERROR);
|
|
goto err;
|
|
}
|
|
*ret_len = j;
|
|
return r;
|
|
|
|
err:
|
|
OPENSSL_free(r);
|
|
return NULL;
|
|
}
|
|
|
|
int bn_get_top(const BIGNUM *a)
|
|
{
|
|
return a->top;
|
|
}
|
|
|
|
int bn_get_dmax(const BIGNUM *a)
|
|
{
|
|
return a->dmax;
|
|
}
|
|
|
|
void bn_set_all_zero(BIGNUM *a)
|
|
{
|
|
int i;
|
|
|
|
for (i = a->top; i < a->dmax; i++)
|
|
a->d[i] = 0;
|
|
}
|
|
|
|
int bn_copy_words(BN_ULONG *out, const BIGNUM *in, int size)
|
|
{
|
|
if (in->top > size)
|
|
return 0;
|
|
|
|
memset(out, 0, sizeof(*out) * size);
|
|
if (in->d != NULL)
|
|
memcpy(out, in->d, sizeof(*out) * in->top);
|
|
return 1;
|
|
}
|
|
|
|
BN_ULONG *bn_get_words(const BIGNUM *a)
|
|
{
|
|
return a->d;
|
|
}
|
|
|
|
void bn_set_static_words(BIGNUM *a, const BN_ULONG *words, int size)
|
|
{
|
|
/*
|
|
* |const| qualifier omission is compensated by BN_FLG_STATIC_DATA
|
|
* flag, which effectively means "read-only data".
|
|
*/
|
|
a->d = (BN_ULONG *)words;
|
|
a->dmax = a->top = size;
|
|
a->neg = 0;
|
|
a->flags |= BN_FLG_STATIC_DATA;
|
|
bn_correct_top(a);
|
|
}
|
|
|
|
int bn_set_words(BIGNUM *a, const BN_ULONG *words, int num_words)
|
|
{
|
|
if (bn_wexpand(a, num_words) == NULL) {
|
|
ERR_raise(ERR_LIB_BN, ERR_R_BN_LIB);
|
|
return 0;
|
|
}
|
|
|
|
memcpy(a->d, words, sizeof(BN_ULONG) * num_words);
|
|
a->top = num_words;
|
|
bn_correct_top(a);
|
|
return 1;
|
|
}
|