--- /dev/null
+/* 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) {
+ char should_free;
+
+ if (bn == NULL) {
+ return;
+ }
+
+ if (bn->d != NULL) {
+ if ((bn->flags & BN_FLG_STATIC_DATA) == 0) {
+ OPENSSL_free(bn->d);
+ } else {
+ OPENSSL_cleanse(bn->d, bn->dmax * sizeof(bn->d[0]));
+ }
+ }
+
+ should_free = (bn->flags & BN_FLG_MALLOCED) != 0;
+ if (should_free) {
+ OPENSSL_free(bn);
+ } else {
+ OPENSSL_cleanse(bn, sizeof(BIGNUM));
+ }
+}
+
+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;
+}
+
+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 ((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_COMPILE_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t),
+ crypto_word_t_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;
+ }
+}