bn.c

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/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
 * All rights reserved.
 *
 * This package is an SSL implementation written
 * by Eric Young (eay@cryptsoft.com).
 * The implementation was written so as to conform with Netscapes SSL.
 *
 * This library is free for commercial and non-commercial use as long as
 * the following conditions are aheared to.  The following conditions
 * apply to all code found in this distribution, be it the RC4, RSA,
 * lhash, DES, etc., code; not just the SSL code.  The SSL documentation
 * included with this distribution is covered by the same copyright terms
 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
 *
 * Copyright remains Eric Young's, and as such any Copyright notices in
 * the code are not to be removed.
 * If this package is used in a product, Eric Young should be given attribution
 * as the author of the parts of the library used.
 * This can be in the form of a textual message at program startup or
 * in documentation (online or textual) provided with the package.
 *
 * 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 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 acknowledgement:
 *    "This product includes cryptographic software written by
 *     Eric Young (eay@cryptsoft.com)"
 *    The word 'cryptographic' can be left out if the rouines from the library
 *    being used are not cryptographic related :-).
 * 4. If you include any Windows specific code (or a derivative thereof) from
 *    the apps directory (application code) you must include an acknowledgement:
 *    "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
 *
 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
 * ANY EXPRESS 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 AUTHOR OR 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.
 *
 * The licence and distribution terms for any publically available version or
 * derivative of this code cannot be changed.  i.e. this code cannot simply be
 * copied and put under another distribution licence
 * [including the GNU Public Licence.] */
 
#include <openssl/bn.h>
 
#include <limits.h>
#include <string.h>
 
#include <openssl/err.h>
#include <openssl/mem.h>
 
#include "internal.h"
#include "../delocate.h"
 
 
BIGNUM *BN_new(void) {
  BIGNUM *bn = OPENSSL_malloc(sizeof(BIGNUM));
 
  if (bn == NULL) {
    OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
    return NULL;
  }
 
  OPENSSL_memset(bn, 0, sizeof(BIGNUM));
  bn->flags = BN_FLG_MALLOCED;
 
  return bn;
}
 
void BN_init(BIGNUM *bn) {
  OPENSSL_memset(bn, 0, sizeof(BIGNUM));
}
 
void BN_free(BIGNUM *bn) {
  if (bn == NULL) {
    return;
  }
 
  if ((bn->flags & BN_FLG_STATIC_DATA) == 0) {
    OPENSSL_free(bn->d);
  }
 
  if (bn->flags & BN_FLG_MALLOCED) {
    OPENSSL_free(bn);
  } else {
    bn->d = NULL;
  }
}
 
void BN_clear_free(BIGNUM *bn) {
  BN_free(bn);
}
 
BIGNUM *BN_dup(const BIGNUM *src) {
  BIGNUM *copy;
 
  if (src == NULL) {
    return NULL;
  }
 
  copy = BN_new();
  if (copy == NULL) {
    return NULL;
  }
 
  if (!BN_copy(copy, src)) {
    BN_free(copy);
    return NULL;
  }
 
  return copy;
}
 
BIGNUM *BN_copy(BIGNUM *dest, const BIGNUM *src) {
  if (src == dest) {
    return dest;
  }
 
  if (!bn_wexpand(dest, src->width)) {
    return NULL;
  }
 
  OPENSSL_memcpy(dest->d, src->d, sizeof(src->d[0]) * src->width);
 
  dest->width = src->width;
  dest->neg = src->neg;
  return dest;
}
 
void BN_clear(BIGNUM *bn) {
  if (bn->d != NULL) {
    OPENSSL_memset(bn->d, 0, bn->dmax * sizeof(bn->d[0]));
  }
 
  bn->width = 0;
  bn->neg = 0;
}
 
DEFINE_METHOD_FUNCTION(BIGNUM, BN_value_one) {
  static const BN_ULONG kOneLimbs[1] = { 1 };
  out->d = (BN_ULONG*) kOneLimbs;
  out->width = 1;
  out->dmax = 1;
  out->neg = 0;
  out->flags = BN_FLG_STATIC_DATA;
}
 
// BN_num_bits_word returns the minimum number of bits needed to represent the
// value in |l|.
unsigned BN_num_bits_word(BN_ULONG l) {
  // |BN_num_bits| is often called on RSA prime factors. These have public bit
  // lengths, but all bits beyond the high bit are secret, so count bits in
  // constant time.
  BN_ULONG x, mask;
  int bits = (l != 0);
 
#if BN_BITS2 > 32
  // Look at the upper half of |x|. |x| is at most 64 bits long.
  x = l >> 32;
  // Set |mask| to all ones if |x| (the top 32 bits of |l|) is non-zero and all
  // all zeros otherwise.
  mask = 0u - x;
  mask = (0u - (mask >> (BN_BITS2 - 1)));
  // If |x| is non-zero, the lower half is included in the bit count in full,
  // and we count the upper half. Otherwise, we count the lower half.
  bits += 32 & mask;
  l ^= (x ^ l) & mask;  // |l| is |x| if |mask| and remains |l| otherwise.
#endif
 
  // The remaining blocks are analogous iterations at lower powers of two.
  x = l >> 16;
  mask = 0u - x;
  mask = (0u - (mask >> (BN_BITS2 - 1)));
  bits += 16 & mask;
  l ^= (x ^ l) & mask;
 
  x = l >> 8;
  mask = 0u - x;
  mask = (0u - (mask >> (BN_BITS2 - 1)));
  bits += 8 & mask;
  l ^= (x ^ l) & mask;
 
  x = l >> 4;
  mask = 0u - x;
  mask = (0u - (mask >> (BN_BITS2 - 1)));
  bits += 4 & mask;
  l ^= (x ^ l) & mask;
 
  x = l >> 2;
  mask = 0u - x;
  mask = (0u - (mask >> (BN_BITS2 - 1)));
  bits += 2 & mask;
  l ^= (x ^ l) & mask;
 
  x = l >> 1;
  mask = 0u - x;
  mask = (0u - (mask >> (BN_BITS2 - 1)));
  bits += 1 & mask;
 
  return bits;
}
 
unsigned BN_num_bits(const BIGNUM *bn) {
  const int width = bn_minimal_width(bn);
  if (width == 0) {
    return 0;
  }
 
  return (width - 1) * BN_BITS2 + BN_num_bits_word(bn->d[width - 1]);
}
 
unsigned BN_num_bytes(const BIGNUM *bn) {
  return (BN_num_bits(bn) + 7) / 8;
}
 
void BN_zero(BIGNUM *bn) {
  bn->width = bn->neg = 0;
}
 
int BN_one(BIGNUM *bn) {
  return BN_set_word(bn, 1);
}
 
int BN_set_word(BIGNUM *bn, BN_ULONG value) {
  if (value == 0) {
    BN_zero(bn);
    return 1;
  }
 
  if (!bn_wexpand(bn, 1)) {
    return 0;
  }
 
  bn->neg = 0;
  bn->d[0] = value;
  bn->width = 1;
  return 1;
}
 
int BN_set_u64(BIGNUM *bn, uint64_t value) {
#if BN_BITS2 == 64
  return BN_set_word(bn, value);
#elif BN_BITS2 == 32
  if (value <= BN_MASK2) {
    return BN_set_word(bn, (BN_ULONG)value);
  }
 
  if (!bn_wexpand(bn, 2)) {
    return 0;
  }
 
  bn->neg = 0;
  bn->d[0] = (BN_ULONG)value;
  bn->d[1] = (BN_ULONG)(value >> 32);
  bn->width = 2;
  return 1;
#else
#error "BN_BITS2 must be 32 or 64."
#endif
}
 
int bn_set_words(BIGNUM *bn, const BN_ULONG *words, size_t num) {
  if (!bn_wexpand(bn, num)) {
    return 0;
  }
  OPENSSL_memmove(bn->d, words, num * sizeof(BN_ULONG));
  // |bn_wexpand| verified that |num| isn't too large.
  bn->width = (int)num;
  bn->neg = 0;
  return 1;
}
 
void bn_set_static_words(BIGNUM *bn, const BN_ULONG *words, size_t num) {
  if ((bn->flags & BN_FLG_STATIC_DATA) == 0) {
    OPENSSL_free(bn->d);
  }
  bn->d = (BN_ULONG *)words;
 
  bn->width = num;
  bn->dmax = num;
  bn->neg = 0;
  bn->flags |= BN_FLG_STATIC_DATA;
}
 
int bn_fits_in_words(const BIGNUM *bn, size_t num) {
  // All words beyond |num| must be zero.
  BN_ULONG mask = 0;
  for (size_t i = num; i < (size_t)bn->width; i++) {
    mask |= bn->d[i];
  }
  return mask == 0;
}
 
int bn_copy_words(BN_ULONG *out, size_t num, const BIGNUM *bn) {
  if (bn->neg) {
    OPENSSL_PUT_ERROR(BN, BN_R_NEGATIVE_NUMBER);
    return 0;
  }
 
  size_t width = (size_t)bn->width;
  if (width > num) {
    if (!bn_fits_in_words(bn, num)) {
      OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
      return 0;
    }
    width = num;
  }
 
  OPENSSL_memset(out, 0, sizeof(BN_ULONG) * num);
  OPENSSL_memcpy(out, bn->d, sizeof(BN_ULONG) * width);
  return 1;
}
 
int BN_is_negative(const BIGNUM *bn) {
  return bn->neg != 0;
}
 
void BN_set_negative(BIGNUM *bn, int sign) {
  if (sign && !BN_is_zero(bn)) {
    bn->neg = 1;
  } else {
    bn->neg = 0;
  }
}
 
int bn_wexpand(BIGNUM *bn, size_t words) {
  BN_ULONG *a;
 
  if (words <= (size_t)bn->dmax) {
    return 1;
  }
 
  if (words > (INT_MAX / (4 * BN_BITS2))) {
    OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
    return 0;
  }
 
  if (bn->flags & BN_FLG_STATIC_DATA) {
    OPENSSL_PUT_ERROR(BN, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
    return 0;
  }
 
  a = OPENSSL_malloc(sizeof(BN_ULONG) * words);
  if (a == NULL) {
    OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
    return 0;
  }
 
  OPENSSL_memcpy(a, bn->d, sizeof(BN_ULONG) * bn->width);
 
  OPENSSL_free(bn->d);
  bn->d = a;
  bn->dmax = (int)words;
 
  return 1;
}
 
int bn_expand(BIGNUM *bn, size_t bits) {
  if (bits + BN_BITS2 - 1 < bits) {
    OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
    return 0;
  }
  return bn_wexpand(bn, (bits+BN_BITS2-1)/BN_BITS2);
}
 
int bn_resize_words(BIGNUM *bn, size_t words) {
#if defined(OPENSSL_PPC64LE)
  // This is a workaround for a miscompilation bug in Clang 7.0.1 on POWER.
  // The unittests catch the miscompilation, if it occurs, and it manifests
  // as a crash in |bn_fits_in_words|.
  //
  // The bug only triggers if building in FIPS mode and with -O3. Clang 8.0.1
  // has the same bug but this workaround is not effective there---I've not
  // been able to find a workaround for 8.0.1.
  //
  // At the time of writing (2019-08-08), Clang git does *not* have this bug
  // and does not need this workaroud. The current git version should go on to
  // be Clang 10 thus, once we can depend on that, this can be removed.
  if (value_barrier_w((size_t)bn->width == words)) {
    return 1;
  }
#endif
 
  if ((size_t)bn->width <= words) {
    if (!bn_wexpand(bn, words)) {
      return 0;
    }
    OPENSSL_memset(bn->d + bn->width, 0,
                   (words - bn->width) * sizeof(BN_ULONG));
    bn->width = words;
    return 1;
  }
 
  // All words beyond the new width must be zero.
  if (!bn_fits_in_words(bn, words)) {
    OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
    return 0;
  }
  bn->width = words;
  return 1;
}
 
void bn_select_words(BN_ULONG *r, BN_ULONG mask, const BN_ULONG *a,
                     const BN_ULONG *b, size_t num) {
  for (size_t i = 0; i < num; i++) {
    OPENSSL_STATIC_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t),
                          "crypto_word_t is too small");
    r[i] = constant_time_select_w(mask, a[i], b[i]);
  }
}
 
int bn_minimal_width(const BIGNUM *bn) {
  int ret = bn->width;
  while (ret > 0 && bn->d[ret - 1] == 0) {
    ret--;
  }
  return ret;
}
 
void bn_set_minimal_width(BIGNUM *bn) {
  bn->width = bn_minimal_width(bn);
  if (bn->width == 0) {
    bn->neg = 0;
  }
}