/* ==================================================================== * Copyright (c) 1998-2014 The OpenSSL Project. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * * 3. All advertising materials mentioning features or use of this * software must display the following acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" * * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to * endorse or promote products derived from this software without * prior written permission. For written permission, please contact * openssl-core@openssl.org. * * 5. Products derived from this software may not be called "OpenSSL" * nor may "OpenSSL" appear in their names without prior written * permission of the OpenSSL Project. * * 6. Redistributions of any form whatsoever must retain the following * acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit (http://www.openssl.org/)" * * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * ==================================================================== * * This product includes cryptographic software written by Eric Young * (eay@cryptsoft.com). This product includes software written by Tim * Hudson (tjh@cryptsoft.com). * */ #include "internal/cryptlib.h" #include "bn_lcl.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) { 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; } void bn_set_top(BIGNUM *a, int top) { a->top = 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); 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, BN_ULONG *words, int size) { a->d = 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, 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; } size_t bn_sizeof_BIGNUM(void) { return sizeof(BIGNUM); } BIGNUM *bn_array_el(BIGNUM *base, int el) { return &base[el]; }