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- /*
- * Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
- *
- * Licensed under the OpenSSL license (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) {
- BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE);
- 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 */
- BNerr(BN_F_BN_COMPUTE_WNAF, 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) {
- BNerr(BN_F_BN_COMPUTE_WNAF, 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) {
- BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE);
- 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)) {
- BNerr(BN_F_BN_COMPUTE_WNAF, 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) {
- BNerr(BN_F_BN_COMPUTE_WNAF, 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) {
- BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
- goto err;
- }
- }
- if (j > len + 1) {
- BNerr(BN_F_BN_COMPUTE_WNAF, 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) {
- BNerr(BN_F_BN_SET_WORDS, ERR_R_MALLOC_FAILURE);
- return 0;
- }
- memcpy(a->d, words, sizeof(BN_ULONG) * num_words);
- a->top = num_words;
- bn_correct_top(a);
- return 1;
- }
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