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			199 lines
		
	
	
	
		
			5.5 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			199 lines
		
	
	
	
		
			5.5 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
/*
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 * Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
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 *
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 * Licensed under the OpenSSL license (the "License").  You may not use
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 * this file except in compliance with the License.  You can obtain a copy
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 * in the file LICENSE in the source distribution or at
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 * https://www.openssl.org/source/license.html
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 */
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#include "internal/cryptlib.h"
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#include "bn_lcl.h"
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/*
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 * Determine the modified width-(w+1) Non-Adjacent Form (wNAF) of 'scalar'.
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 * This is an array  r[]  of values that are either zero or odd with an
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 * absolute value less than  2^w  satisfying
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 *     scalar = \sum_j r[j]*2^j
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 * where at most one of any  w+1  consecutive digits is non-zero
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 * with the exception that the most significant digit may be only
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 * w-1 zeros away from that next non-zero digit.
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 */
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signed char *bn_compute_wNAF(const BIGNUM *scalar, int w, size_t *ret_len)
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{
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    int window_val;
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    signed char *r = NULL;
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    int sign = 1;
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    int bit, next_bit, mask;
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    size_t len = 0, j;
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    if (BN_is_zero(scalar)) {
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        r = OPENSSL_malloc(1);
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        if (r == NULL) {
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            BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE);
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            goto err;
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        }
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        r[0] = 0;
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        *ret_len = 1;
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        return r;
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    }
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    if (w <= 0 || w > 7) {      /* 'signed char' can represent integers with
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                                 * absolute values less than 2^7 */
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        BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
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        goto err;
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    }
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    bit = 1 << w;               /* at most 128 */
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    next_bit = bit << 1;        /* at most 256 */
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    mask = next_bit - 1;        /* at most 255 */
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    if (BN_is_negative(scalar)) {
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        sign = -1;
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    }
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    if (scalar->d == NULL || scalar->top == 0) {
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        BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
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        goto err;
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    }
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    len = BN_num_bits(scalar);
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    r = OPENSSL_malloc(len + 1); /*
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                                  * Modified wNAF may be one digit longer than binary representation
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                                  * (*ret_len will be set to the actual length, i.e. at most
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                                  * BN_num_bits(scalar) + 1)
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                                  */
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    if (r == NULL) {
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        BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE);
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        goto err;
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    }
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    window_val = scalar->d[0] & mask;
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    j = 0;
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    while ((window_val != 0) || (j + w + 1 < len)) { /* if j+w+1 >= len,
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                                                      * window_val will not
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                                                      * increase */
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        int digit = 0;
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        /* 0 <= window_val <= 2^(w+1) */
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        if (window_val & 1) {
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            /* 0 < window_val < 2^(w+1) */
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            if (window_val & bit) {
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                digit = window_val - next_bit; /* -2^w < digit < 0 */
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#if 1                           /* modified wNAF */
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                if (j + w + 1 >= len) {
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                    /*
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                     * Special case for generating modified wNAFs:
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                     * no new bits will be added into window_val,
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                     * so using a positive digit here will decrease
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                     * the total length of the representation
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                     */
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                    digit = window_val & (mask >> 1); /* 0 < digit < 2^w */
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                }
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#endif
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            } else {
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                digit = window_val; /* 0 < digit < 2^w */
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            }
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            if (digit <= -bit || digit >= bit || !(digit & 1)) {
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                BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
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                goto err;
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            }
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            window_val -= digit;
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            /*
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             * now window_val is 0 or 2^(w+1) in standard wNAF generation;
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             * for modified window NAFs, it may also be 2^w
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             */
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            if (window_val != 0 && window_val != next_bit
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                && window_val != bit) {
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                BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
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                goto err;
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            }
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        }
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        r[j++] = sign * digit;
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        window_val >>= 1;
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        window_val += bit * BN_is_bit_set(scalar, j + w);
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        if (window_val > next_bit) {
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            BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
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            goto err;
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        }
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    }
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    if (j > len + 1) {
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        BNerr(BN_F_BN_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
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        goto err;
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    }
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    *ret_len = j;
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    return r;
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 err:
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    OPENSSL_free(r);
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    return NULL;
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}
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int bn_get_top(const BIGNUM *a)
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{
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    return a->top;
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}
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int bn_get_dmax(const BIGNUM *a)
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{
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    return a->dmax;
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}
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void bn_set_all_zero(BIGNUM *a)
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{
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    int i;
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    for (i = a->top; i < a->dmax; i++)
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        a->d[i] = 0;
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}
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int bn_copy_words(BN_ULONG *out, const BIGNUM *in, int size)
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{
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    if (in->top > size)
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        return 0;
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    memset(out, 0, sizeof(*out) * size);
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    if (in->d != NULL)
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        memcpy(out, in->d, sizeof(*out) * in->top);
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    return 1;
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}
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BN_ULONG *bn_get_words(const BIGNUM *a)
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{
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    return a->d;
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}
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void bn_set_static_words(BIGNUM *a, const BN_ULONG *words, int size)
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{
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    /*
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     * |const| qualifier omission is compensated by BN_FLG_STATIC_DATA
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     * flag, which effectively means "read-only data".
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     */
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    a->d = (BN_ULONG *)words;
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    a->dmax = a->top = size;
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    a->neg = 0;
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    a->flags |= BN_FLG_STATIC_DATA;
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    bn_correct_top(a);
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}
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int bn_set_words(BIGNUM *a, const BN_ULONG *words, int num_words)
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{
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    if (bn_wexpand(a, num_words) == NULL) {
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        BNerr(BN_F_BN_SET_WORDS, ERR_R_MALLOC_FAILURE);
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        return 0;
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    }
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    memcpy(a->d, words, sizeof(BN_ULONG) * num_words);
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    a->top = num_words;
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    bn_correct_top(a);
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    return 1;
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}
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