01c09f9fde
Never output -0; make "negative zero" an impossibility. Do better checking on BN_rand top/bottom requirements and #bits. Update doc. Ignoring trailing garbage in BN_asc2bn. Port this commit from boringSSL: https://boringssl.googlesource.com/boringssl/+/899b9b19a4cd3fe526aaf5047ab9234cdca19f7d%5E!/ Ensure |BN_div| never gives negative zero in the no_branch code. Have |bn_correct_top| fix |bn->neg| if the input is zero so that we don't have negative zeros lying around. Thanks to Brian Smith for noticing. Reviewed-by: Richard Levitte <levitte@openssl.org>
1037 lines
23 KiB
C
1037 lines
23 KiB
C
/*
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* Copyright 1995-2016 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 <assert.h>
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#include <limits.h>
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#include "internal/cryptlib.h"
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#include "bn_lcl.h"
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#include <openssl/opensslconf.h>
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/* This stuff appears to be completely unused, so is deprecated */
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#if OPENSSL_API_COMPAT < 0x00908000L
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/*-
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* For a 32 bit machine
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* 2 - 4 == 128
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* 3 - 8 == 256
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* 4 - 16 == 512
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* 5 - 32 == 1024
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* 6 - 64 == 2048
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* 7 - 128 == 4096
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* 8 - 256 == 8192
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*/
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static int bn_limit_bits = 0;
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static int bn_limit_num = 8; /* (1<<bn_limit_bits) */
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static int bn_limit_bits_low = 0;
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static int bn_limit_num_low = 8; /* (1<<bn_limit_bits_low) */
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static int bn_limit_bits_high = 0;
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static int bn_limit_num_high = 8; /* (1<<bn_limit_bits_high) */
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static int bn_limit_bits_mont = 0;
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static int bn_limit_num_mont = 8; /* (1<<bn_limit_bits_mont) */
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void BN_set_params(int mult, int high, int low, int mont)
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{
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if (mult >= 0) {
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if (mult > (int)(sizeof(int) * 8) - 1)
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mult = sizeof(int) * 8 - 1;
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bn_limit_bits = mult;
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bn_limit_num = 1 << mult;
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}
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if (high >= 0) {
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if (high > (int)(sizeof(int) * 8) - 1)
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high = sizeof(int) * 8 - 1;
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bn_limit_bits_high = high;
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bn_limit_num_high = 1 << high;
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}
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if (low >= 0) {
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if (low > (int)(sizeof(int) * 8) - 1)
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low = sizeof(int) * 8 - 1;
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bn_limit_bits_low = low;
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bn_limit_num_low = 1 << low;
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}
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if (mont >= 0) {
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if (mont > (int)(sizeof(int) * 8) - 1)
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mont = sizeof(int) * 8 - 1;
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bn_limit_bits_mont = mont;
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bn_limit_num_mont = 1 << mont;
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}
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}
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int BN_get_params(int which)
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{
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if (which == 0)
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return (bn_limit_bits);
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else if (which == 1)
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return (bn_limit_bits_high);
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else if (which == 2)
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return (bn_limit_bits_low);
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else if (which == 3)
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return (bn_limit_bits_mont);
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else
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return (0);
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}
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#endif
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const BIGNUM *BN_value_one(void)
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{
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static const BN_ULONG data_one = 1L;
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static const BIGNUM const_one =
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{ (BN_ULONG *)&data_one, 1, 1, 0, BN_FLG_STATIC_DATA };
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return (&const_one);
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}
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int BN_num_bits_word(BN_ULONG l)
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{
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static const unsigned char bits[256] = {
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0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4,
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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
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6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
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6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
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7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
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7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
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7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
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7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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};
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#if defined(SIXTY_FOUR_BIT_LONG)
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if (l & 0xffffffff00000000L) {
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if (l & 0xffff000000000000L) {
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if (l & 0xff00000000000000L) {
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return (bits[(int)(l >> 56)] + 56);
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} else
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return (bits[(int)(l >> 48)] + 48);
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} else {
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if (l & 0x0000ff0000000000L) {
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return (bits[(int)(l >> 40)] + 40);
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} else
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return (bits[(int)(l >> 32)] + 32);
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}
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} else
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#else
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# ifdef SIXTY_FOUR_BIT
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if (l & 0xffffffff00000000LL) {
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if (l & 0xffff000000000000LL) {
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if (l & 0xff00000000000000LL) {
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return (bits[(int)(l >> 56)] + 56);
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} else
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return (bits[(int)(l >> 48)] + 48);
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} else {
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if (l & 0x0000ff0000000000LL) {
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return (bits[(int)(l >> 40)] + 40);
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} else
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return (bits[(int)(l >> 32)] + 32);
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}
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} else
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# endif
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#endif
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{
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#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
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if (l & 0xffff0000L) {
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if (l & 0xff000000L)
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return (bits[(int)(l >> 24L)] + 24);
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else
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return (bits[(int)(l >> 16L)] + 16);
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} else
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#endif
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{
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#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
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if (l & 0xff00L)
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return (bits[(int)(l >> 8)] + 8);
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else
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#endif
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return (bits[(int)(l)]);
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}
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}
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}
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int BN_num_bits(const BIGNUM *a)
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{
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int i = a->top - 1;
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bn_check_top(a);
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if (BN_is_zero(a))
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return 0;
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return ((i * BN_BITS2) + BN_num_bits_word(a->d[i]));
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}
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static void bn_free_d(BIGNUM *a)
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{
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if (BN_get_flags(a, BN_FLG_SECURE))
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OPENSSL_secure_free(a->d);
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else
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OPENSSL_free(a->d);
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}
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void BN_clear_free(BIGNUM *a)
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{
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int i;
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if (a == NULL)
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return;
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bn_check_top(a);
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if (a->d != NULL) {
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OPENSSL_cleanse(a->d, a->dmax * sizeof(a->d[0]));
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if (!BN_get_flags(a, BN_FLG_STATIC_DATA))
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bn_free_d(a);
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}
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i = BN_get_flags(a, BN_FLG_MALLOCED);
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OPENSSL_cleanse(a, sizeof(*a));
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if (i)
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OPENSSL_free(a);
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}
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void BN_free(BIGNUM *a)
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{
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if (a == NULL)
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return;
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bn_check_top(a);
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if (!BN_get_flags(a, BN_FLG_STATIC_DATA))
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bn_free_d(a);
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if (a->flags & BN_FLG_MALLOCED)
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OPENSSL_free(a);
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else {
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#if OPENSSL_API_COMPAT < 0x00908000L
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a->flags |= BN_FLG_FREE;
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#endif
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a->d = NULL;
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}
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}
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void bn_init(BIGNUM *a)
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{
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static BIGNUM nilbn;
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*a = nilbn;
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bn_check_top(a);
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}
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BIGNUM *BN_new(void)
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{
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BIGNUM *ret;
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if ((ret = OPENSSL_zalloc(sizeof(*ret))) == NULL) {
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BNerr(BN_F_BN_NEW, ERR_R_MALLOC_FAILURE);
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return (NULL);
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}
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ret->flags = BN_FLG_MALLOCED;
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bn_check_top(ret);
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return (ret);
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}
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BIGNUM *BN_secure_new(void)
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{
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BIGNUM *ret = BN_new();
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if (ret != NULL)
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ret->flags |= BN_FLG_SECURE;
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return (ret);
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}
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/* This is used by bn_expand2() */
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/* The caller MUST check that words > b->dmax before calling this */
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static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
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{
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BN_ULONG *A, *a = NULL;
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const BN_ULONG *B;
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int i;
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bn_check_top(b);
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if (words > (INT_MAX / (4 * BN_BITS2))) {
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BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_BIGNUM_TOO_LONG);
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return NULL;
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}
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if (BN_get_flags(b, BN_FLG_STATIC_DATA)) {
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BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
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return (NULL);
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}
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if (BN_get_flags(b, BN_FLG_SECURE))
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a = A = OPENSSL_secure_zalloc(words * sizeof(*a));
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else
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a = A = OPENSSL_zalloc(words * sizeof(*a));
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if (A == NULL) {
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BNerr(BN_F_BN_EXPAND_INTERNAL, ERR_R_MALLOC_FAILURE);
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return (NULL);
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}
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#if 1
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B = b->d;
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/* Check if the previous number needs to be copied */
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if (B != NULL) {
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for (i = b->top >> 2; i > 0; i--, A += 4, B += 4) {
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/*
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* The fact that the loop is unrolled
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* 4-wise is a tribute to Intel. It's
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* the one that doesn't have enough
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* registers to accommodate more data.
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* I'd unroll it 8-wise otherwise:-)
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*
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* <appro@fy.chalmers.se>
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*/
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BN_ULONG a0, a1, a2, a3;
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a0 = B[0];
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a1 = B[1];
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a2 = B[2];
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a3 = B[3];
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A[0] = a0;
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A[1] = a1;
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A[2] = a2;
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A[3] = a3;
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}
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switch (b->top & 3) {
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case 3:
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A[2] = B[2];
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case 2:
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A[1] = B[1];
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case 1:
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A[0] = B[0];
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case 0:
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/* Without the "case 0" some old optimizers got this wrong. */
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;
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}
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}
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#else
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memset(A, 0, sizeof(*A) * words);
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memcpy(A, b->d, sizeof(b->d[0]) * b->top);
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#endif
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return (a);
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}
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/*
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* This is an internal function that should not be used in applications. It
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* ensures that 'b' has enough room for a 'words' word number and initialises
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* any unused part of b->d with leading zeros. It is mostly used by the
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* various BIGNUM routines. If there is an error, NULL is returned. If not,
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* 'b' is returned.
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*/
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BIGNUM *bn_expand2(BIGNUM *b, int words)
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{
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bn_check_top(b);
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if (words > b->dmax) {
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BN_ULONG *a = bn_expand_internal(b, words);
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if (!a)
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return NULL;
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if (b->d) {
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OPENSSL_cleanse(b->d, b->dmax * sizeof(b->d[0]));
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bn_free_d(b);
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}
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b->d = a;
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b->dmax = words;
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}
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bn_check_top(b);
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return b;
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}
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BIGNUM *BN_dup(const BIGNUM *a)
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{
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BIGNUM *t;
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if (a == NULL)
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return NULL;
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bn_check_top(a);
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t = BN_get_flags(a, BN_FLG_SECURE) ? BN_secure_new() : BN_new();
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if (t == NULL)
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return NULL;
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if (!BN_copy(t, a)) {
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BN_free(t);
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return NULL;
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}
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bn_check_top(t);
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return t;
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}
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BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
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{
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int i;
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BN_ULONG *A;
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const BN_ULONG *B;
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bn_check_top(b);
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if (a == b)
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return (a);
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if (bn_wexpand(a, b->top) == NULL)
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return (NULL);
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#if 1
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A = a->d;
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B = b->d;
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for (i = b->top >> 2; i > 0; i--, A += 4, B += 4) {
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BN_ULONG a0, a1, a2, a3;
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a0 = B[0];
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a1 = B[1];
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a2 = B[2];
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a3 = B[3];
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A[0] = a0;
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A[1] = a1;
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A[2] = a2;
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A[3] = a3;
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}
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/* ultrix cc workaround, see comments in bn_expand_internal */
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switch (b->top & 3) {
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case 3:
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A[2] = B[2];
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case 2:
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A[1] = B[1];
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case 1:
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A[0] = B[0];
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case 0:;
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}
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#else
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memcpy(a->d, b->d, sizeof(b->d[0]) * b->top);
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#endif
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a->top = b->top;
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a->neg = b->neg;
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bn_check_top(a);
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return (a);
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}
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void BN_swap(BIGNUM *a, BIGNUM *b)
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{
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int flags_old_a, flags_old_b;
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BN_ULONG *tmp_d;
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int tmp_top, tmp_dmax, tmp_neg;
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bn_check_top(a);
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bn_check_top(b);
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flags_old_a = a->flags;
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flags_old_b = b->flags;
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tmp_d = a->d;
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tmp_top = a->top;
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tmp_dmax = a->dmax;
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tmp_neg = a->neg;
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a->d = b->d;
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a->top = b->top;
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a->dmax = b->dmax;
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a->neg = b->neg;
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b->d = tmp_d;
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b->top = tmp_top;
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b->dmax = tmp_dmax;
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b->neg = tmp_neg;
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a->flags =
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(flags_old_a & BN_FLG_MALLOCED) | (flags_old_b & BN_FLG_STATIC_DATA);
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b->flags =
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(flags_old_b & BN_FLG_MALLOCED) | (flags_old_a & BN_FLG_STATIC_DATA);
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bn_check_top(a);
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bn_check_top(b);
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}
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void BN_clear(BIGNUM *a)
|
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{
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bn_check_top(a);
|
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if (a->d != NULL)
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OPENSSL_cleanse(a->d, sizeof(*a->d) * a->dmax);
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a->top = 0;
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a->neg = 0;
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}
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BN_ULONG BN_get_word(const BIGNUM *a)
|
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{
|
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if (a->top > 1)
|
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return BN_MASK2;
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else if (a->top == 1)
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return a->d[0];
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/* a->top == 0 */
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return 0;
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}
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|
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int BN_set_word(BIGNUM *a, BN_ULONG w)
|
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{
|
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bn_check_top(a);
|
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if (bn_expand(a, (int)sizeof(BN_ULONG) * 8) == NULL)
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return (0);
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a->neg = 0;
|
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a->d[0] = w;
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a->top = (w ? 1 : 0);
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bn_check_top(a);
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return (1);
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}
|
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|
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BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
|
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{
|
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unsigned int i, m;
|
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unsigned int n;
|
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BN_ULONG l;
|
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BIGNUM *bn = NULL;
|
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|
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if (ret == NULL)
|
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ret = bn = BN_new();
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if (ret == NULL)
|
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return (NULL);
|
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bn_check_top(ret);
|
|
/* Skip leading zero's. */
|
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for ( ; len > 0 && *s == 0; s++, len--)
|
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continue;
|
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n = len;
|
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if (n == 0) {
|
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ret->top = 0;
|
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return (ret);
|
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}
|
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i = ((n - 1) / BN_BYTES) + 1;
|
|
m = ((n - 1) % (BN_BYTES));
|
|
if (bn_wexpand(ret, (int)i) == NULL) {
|
|
BN_free(bn);
|
|
return NULL;
|
|
}
|
|
ret->top = i;
|
|
ret->neg = 0;
|
|
l = 0;
|
|
while (n--) {
|
|
l = (l << 8L) | *(s++);
|
|
if (m-- == 0) {
|
|
ret->d[--i] = l;
|
|
l = 0;
|
|
m = BN_BYTES - 1;
|
|
}
|
|
}
|
|
/*
|
|
* need to call this due to clear byte at top if avoiding having the top
|
|
* bit set (-ve number)
|
|
*/
|
|
bn_correct_top(ret);
|
|
return (ret);
|
|
}
|
|
|
|
/* ignore negative */
|
|
static int bn2binpad(const BIGNUM *a, unsigned char *to, int tolen)
|
|
{
|
|
int i;
|
|
BN_ULONG l;
|
|
|
|
bn_check_top(a);
|
|
i = BN_num_bytes(a);
|
|
if (tolen == -1)
|
|
tolen = i;
|
|
else if (tolen < i)
|
|
return -1;
|
|
/* Add leading zeroes if necessary */
|
|
if (tolen > i) {
|
|
memset(to, 0, tolen - i);
|
|
to += tolen - i;
|
|
}
|
|
while (i--) {
|
|
l = a->d[i / BN_BYTES];
|
|
*(to++) = (unsigned char)(l >> (8 * (i % BN_BYTES))) & 0xff;
|
|
}
|
|
return tolen;
|
|
}
|
|
|
|
int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen)
|
|
{
|
|
if (tolen < 0)
|
|
return -1;
|
|
return bn2binpad(a, to, tolen);
|
|
}
|
|
|
|
int BN_bn2bin(const BIGNUM *a, unsigned char *to)
|
|
{
|
|
return bn2binpad(a, to, -1);
|
|
}
|
|
|
|
BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret)
|
|
{
|
|
unsigned int i, m;
|
|
unsigned int n;
|
|
BN_ULONG l;
|
|
BIGNUM *bn = NULL;
|
|
|
|
if (ret == NULL)
|
|
ret = bn = BN_new();
|
|
if (ret == NULL)
|
|
return (NULL);
|
|
bn_check_top(ret);
|
|
s += len;
|
|
/* Skip trailing zeroes. */
|
|
for ( ; len > 0 && s[-1] == 0; s--, len--)
|
|
continue;
|
|
n = len;
|
|
if (n == 0) {
|
|
ret->top = 0;
|
|
return ret;
|
|
}
|
|
i = ((n - 1) / BN_BYTES) + 1;
|
|
m = ((n - 1) % (BN_BYTES));
|
|
if (bn_wexpand(ret, (int)i) == NULL) {
|
|
BN_free(bn);
|
|
return NULL;
|
|
}
|
|
ret->top = i;
|
|
ret->neg = 0;
|
|
l = 0;
|
|
while (n--) {
|
|
s--;
|
|
l = (l << 8L) | *s;
|
|
if (m-- == 0) {
|
|
ret->d[--i] = l;
|
|
l = 0;
|
|
m = BN_BYTES - 1;
|
|
}
|
|
}
|
|
/*
|
|
* need to call this due to clear byte at top if avoiding having the top
|
|
* bit set (-ve number)
|
|
*/
|
|
bn_correct_top(ret);
|
|
return ret;
|
|
}
|
|
|
|
int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen)
|
|
{
|
|
int i;
|
|
BN_ULONG l;
|
|
bn_check_top(a);
|
|
i = BN_num_bytes(a);
|
|
if (tolen < i)
|
|
return -1;
|
|
/* Add trailing zeroes if necessary */
|
|
if (tolen > i)
|
|
memset(to + i, 0, tolen - i);
|
|
to += i;
|
|
while (i--) {
|
|
l = a->d[i / BN_BYTES];
|
|
to--;
|
|
*to = (unsigned char)(l >> (8 * (i % BN_BYTES))) & 0xff;
|
|
}
|
|
return tolen;
|
|
}
|
|
|
|
int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
|
|
{
|
|
int i;
|
|
BN_ULONG t1, t2, *ap, *bp;
|
|
|
|
bn_check_top(a);
|
|
bn_check_top(b);
|
|
|
|
i = a->top - b->top;
|
|
if (i != 0)
|
|
return (i);
|
|
ap = a->d;
|
|
bp = b->d;
|
|
for (i = a->top - 1; i >= 0; i--) {
|
|
t1 = ap[i];
|
|
t2 = bp[i];
|
|
if (t1 != t2)
|
|
return ((t1 > t2) ? 1 : -1);
|
|
}
|
|
return (0);
|
|
}
|
|
|
|
int BN_cmp(const BIGNUM *a, const BIGNUM *b)
|
|
{
|
|
int i;
|
|
int gt, lt;
|
|
BN_ULONG t1, t2;
|
|
|
|
if ((a == NULL) || (b == NULL)) {
|
|
if (a != NULL)
|
|
return (-1);
|
|
else if (b != NULL)
|
|
return (1);
|
|
else
|
|
return (0);
|
|
}
|
|
|
|
bn_check_top(a);
|
|
bn_check_top(b);
|
|
|
|
if (a->neg != b->neg) {
|
|
if (a->neg)
|
|
return (-1);
|
|
else
|
|
return (1);
|
|
}
|
|
if (a->neg == 0) {
|
|
gt = 1;
|
|
lt = -1;
|
|
} else {
|
|
gt = -1;
|
|
lt = 1;
|
|
}
|
|
|
|
if (a->top > b->top)
|
|
return (gt);
|
|
if (a->top < b->top)
|
|
return (lt);
|
|
for (i = a->top - 1; i >= 0; i--) {
|
|
t1 = a->d[i];
|
|
t2 = b->d[i];
|
|
if (t1 > t2)
|
|
return (gt);
|
|
if (t1 < t2)
|
|
return (lt);
|
|
}
|
|
return (0);
|
|
}
|
|
|
|
int BN_set_bit(BIGNUM *a, int n)
|
|
{
|
|
int i, j, k;
|
|
|
|
if (n < 0)
|
|
return 0;
|
|
|
|
i = n / BN_BITS2;
|
|
j = n % BN_BITS2;
|
|
if (a->top <= i) {
|
|
if (bn_wexpand(a, i + 1) == NULL)
|
|
return (0);
|
|
for (k = a->top; k < i + 1; k++)
|
|
a->d[k] = 0;
|
|
a->top = i + 1;
|
|
}
|
|
|
|
a->d[i] |= (((BN_ULONG)1) << j);
|
|
bn_check_top(a);
|
|
return (1);
|
|
}
|
|
|
|
int BN_clear_bit(BIGNUM *a, int n)
|
|
{
|
|
int i, j;
|
|
|
|
bn_check_top(a);
|
|
if (n < 0)
|
|
return 0;
|
|
|
|
i = n / BN_BITS2;
|
|
j = n % BN_BITS2;
|
|
if (a->top <= i)
|
|
return (0);
|
|
|
|
a->d[i] &= (~(((BN_ULONG)1) << j));
|
|
bn_correct_top(a);
|
|
return (1);
|
|
}
|
|
|
|
int BN_is_bit_set(const BIGNUM *a, int n)
|
|
{
|
|
int i, j;
|
|
|
|
bn_check_top(a);
|
|
if (n < 0)
|
|
return 0;
|
|
i = n / BN_BITS2;
|
|
j = n % BN_BITS2;
|
|
if (a->top <= i)
|
|
return 0;
|
|
return (int)(((a->d[i]) >> j) & ((BN_ULONG)1));
|
|
}
|
|
|
|
int BN_mask_bits(BIGNUM *a, int n)
|
|
{
|
|
int b, w;
|
|
|
|
bn_check_top(a);
|
|
if (n < 0)
|
|
return 0;
|
|
|
|
w = n / BN_BITS2;
|
|
b = n % BN_BITS2;
|
|
if (w >= a->top)
|
|
return 0;
|
|
if (b == 0)
|
|
a->top = w;
|
|
else {
|
|
a->top = w + 1;
|
|
a->d[w] &= ~(BN_MASK2 << b);
|
|
}
|
|
bn_correct_top(a);
|
|
return (1);
|
|
}
|
|
|
|
void BN_set_negative(BIGNUM *a, int b)
|
|
{
|
|
if (b && !BN_is_zero(a))
|
|
a->neg = 1;
|
|
else
|
|
a->neg = 0;
|
|
}
|
|
|
|
int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
|
|
{
|
|
int i;
|
|
BN_ULONG aa, bb;
|
|
|
|
aa = a[n - 1];
|
|
bb = b[n - 1];
|
|
if (aa != bb)
|
|
return ((aa > bb) ? 1 : -1);
|
|
for (i = n - 2; i >= 0; i--) {
|
|
aa = a[i];
|
|
bb = b[i];
|
|
if (aa != bb)
|
|
return ((aa > bb) ? 1 : -1);
|
|
}
|
|
return (0);
|
|
}
|
|
|
|
/*
|
|
* Here follows a specialised variants of bn_cmp_words(). It has the
|
|
* capability of performing the operation on arrays of different sizes. The
|
|
* sizes of those arrays is expressed through cl, which is the common length
|
|
* ( basically, min(len(a),len(b)) ), and dl, which is the delta between the
|
|
* two lengths, calculated as len(a)-len(b). All lengths are the number of
|
|
* BN_ULONGs...
|
|
*/
|
|
|
|
int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl)
|
|
{
|
|
int n, i;
|
|
n = cl - 1;
|
|
|
|
if (dl < 0) {
|
|
for (i = dl; i < 0; i++) {
|
|
if (b[n - i] != 0)
|
|
return -1; /* a < b */
|
|
}
|
|
}
|
|
if (dl > 0) {
|
|
for (i = dl; i > 0; i--) {
|
|
if (a[n + i] != 0)
|
|
return 1; /* a > b */
|
|
}
|
|
}
|
|
return bn_cmp_words(a, b, cl);
|
|
}
|
|
|
|
/*
|
|
* Constant-time conditional swap of a and b.
|
|
* a and b are swapped if condition is not 0. The code assumes that at most one bit of condition is set.
|
|
* nwords is the number of words to swap. The code assumes that at least nwords are allocated in both a and b,
|
|
* and that no more than nwords are used by either a or b.
|
|
* a and b cannot be the same number
|
|
*/
|
|
void BN_consttime_swap(BN_ULONG condition, BIGNUM *a, BIGNUM *b, int nwords)
|
|
{
|
|
BN_ULONG t;
|
|
int i;
|
|
|
|
bn_wcheck_size(a, nwords);
|
|
bn_wcheck_size(b, nwords);
|
|
|
|
assert(a != b);
|
|
assert((condition & (condition - 1)) == 0);
|
|
assert(sizeof(BN_ULONG) >= sizeof(int));
|
|
|
|
condition = ((condition - 1) >> (BN_BITS2 - 1)) - 1;
|
|
|
|
t = (a->top ^ b->top) & condition;
|
|
a->top ^= t;
|
|
b->top ^= t;
|
|
|
|
#define BN_CONSTTIME_SWAP(ind) \
|
|
do { \
|
|
t = (a->d[ind] ^ b->d[ind]) & condition; \
|
|
a->d[ind] ^= t; \
|
|
b->d[ind] ^= t; \
|
|
} while (0)
|
|
|
|
switch (nwords) {
|
|
default:
|
|
for (i = 10; i < nwords; i++)
|
|
BN_CONSTTIME_SWAP(i);
|
|
/* Fallthrough */
|
|
case 10:
|
|
BN_CONSTTIME_SWAP(9); /* Fallthrough */
|
|
case 9:
|
|
BN_CONSTTIME_SWAP(8); /* Fallthrough */
|
|
case 8:
|
|
BN_CONSTTIME_SWAP(7); /* Fallthrough */
|
|
case 7:
|
|
BN_CONSTTIME_SWAP(6); /* Fallthrough */
|
|
case 6:
|
|
BN_CONSTTIME_SWAP(5); /* Fallthrough */
|
|
case 5:
|
|
BN_CONSTTIME_SWAP(4); /* Fallthrough */
|
|
case 4:
|
|
BN_CONSTTIME_SWAP(3); /* Fallthrough */
|
|
case 3:
|
|
BN_CONSTTIME_SWAP(2); /* Fallthrough */
|
|
case 2:
|
|
BN_CONSTTIME_SWAP(1); /* Fallthrough */
|
|
case 1:
|
|
BN_CONSTTIME_SWAP(0);
|
|
}
|
|
#undef BN_CONSTTIME_SWAP
|
|
}
|
|
|
|
/* Bits of security, see SP800-57 */
|
|
|
|
int BN_security_bits(int L, int N)
|
|
{
|
|
int secbits, bits;
|
|
if (L >= 15360)
|
|
secbits = 256;
|
|
else if (L >= 7690)
|
|
secbits = 192;
|
|
else if (L >= 3072)
|
|
secbits = 128;
|
|
else if (L >= 2048)
|
|
secbits = 112;
|
|
else if (L >= 1024)
|
|
secbits = 80;
|
|
else
|
|
return 0;
|
|
if (N == -1)
|
|
return secbits;
|
|
bits = N / 2;
|
|
if (bits < 80)
|
|
return 0;
|
|
return bits >= secbits ? secbits : bits;
|
|
}
|
|
|
|
void BN_zero_ex(BIGNUM *a)
|
|
{
|
|
a->top = 0;
|
|
a->neg = 0;
|
|
}
|
|
|
|
int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w)
|
|
{
|
|
return ((a->top == 1) && (a->d[0] == w)) || ((w == 0) && (a->top == 0));
|
|
}
|
|
|
|
int BN_is_zero(const BIGNUM *a)
|
|
{
|
|
return a->top == 0;
|
|
}
|
|
|
|
int BN_is_one(const BIGNUM *a)
|
|
{
|
|
return BN_abs_is_word(a, 1) && !a->neg;
|
|
}
|
|
|
|
int BN_is_word(const BIGNUM *a, const BN_ULONG w)
|
|
{
|
|
return BN_abs_is_word(a, w) && (!w || !a->neg);
|
|
}
|
|
|
|
int BN_is_odd(const BIGNUM *a)
|
|
{
|
|
return (a->top > 0) && (a->d[0] & 1);
|
|
}
|
|
|
|
int BN_is_negative(const BIGNUM *a)
|
|
{
|
|
return (a->neg != 0);
|
|
}
|
|
|
|
int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
|
|
BN_CTX *ctx)
|
|
{
|
|
return BN_mod_mul_montgomery(r, a, &(mont->RR), mont, ctx);
|
|
}
|
|
|
|
void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags)
|
|
{
|
|
dest->d = b->d;
|
|
dest->top = b->top;
|
|
dest->dmax = b->dmax;
|
|
dest->neg = b->neg;
|
|
dest->flags = ((dest->flags & BN_FLG_MALLOCED)
|
|
| (b->flags & ~BN_FLG_MALLOCED)
|
|
| BN_FLG_STATIC_DATA | flags);
|
|
}
|
|
|
|
BN_GENCB *BN_GENCB_new(void)
|
|
{
|
|
BN_GENCB *ret;
|
|
|
|
if ((ret = OPENSSL_malloc(sizeof(*ret))) == NULL) {
|
|
BNerr(BN_F_BN_GENCB_NEW, ERR_R_MALLOC_FAILURE);
|
|
return (NULL);
|
|
}
|
|
|
|
return ret;
|
|
}
|
|
|
|
void BN_GENCB_free(BN_GENCB *cb)
|
|
{
|
|
if (cb == NULL)
|
|
return;
|
|
OPENSSL_free(cb);
|
|
}
|
|
|
|
void BN_set_flags(BIGNUM *b, int n)
|
|
{
|
|
b->flags |= n;
|
|
}
|
|
|
|
int BN_get_flags(const BIGNUM *b, int n)
|
|
{
|
|
return b->flags & n;
|
|
}
|
|
|
|
/* Populate a BN_GENCB structure with an "old"-style callback */
|
|
void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback) (int, int, void *),
|
|
void *cb_arg)
|
|
{
|
|
BN_GENCB *tmp_gencb = gencb;
|
|
tmp_gencb->ver = 1;
|
|
tmp_gencb->arg = cb_arg;
|
|
tmp_gencb->cb.cb_1 = callback;
|
|
}
|
|
|
|
/* Populate a BN_GENCB structure with a "new"-style callback */
|
|
void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *),
|
|
void *cb_arg)
|
|
{
|
|
BN_GENCB *tmp_gencb = gencb;
|
|
tmp_gencb->ver = 2;
|
|
tmp_gencb->arg = cb_arg;
|
|
tmp_gencb->cb.cb_2 = callback;
|
|
}
|
|
|
|
void *BN_GENCB_get_arg(BN_GENCB *cb)
|
|
{
|
|
return cb->arg;
|
|
}
|
|
|
|
BIGNUM *bn_wexpand(BIGNUM *a, int words)
|
|
{
|
|
return (words <= a->dmax) ? a : bn_expand2(a, words);
|
|
}
|
|
|
|
void bn_correct_top(BIGNUM *a)
|
|
{
|
|
BN_ULONG *ftl;
|
|
int tmp_top = a->top;
|
|
|
|
if (tmp_top > 0) {
|
|
for (ftl = &(a->d[tmp_top]); tmp_top > 0; tmp_top--) {
|
|
ftl--;
|
|
if (*ftl != 0)
|
|
break;
|
|
}
|
|
a->top = tmp_top;
|
|
}
|
|
if (a->top == 0)
|
|
a->neg = 0;
|
|
bn_pollute(a);
|
|
}
|