-/* crypto/bn/bn_gf2m.c */
-/* ====================================================================
- * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
- *
- * The Elliptic Curve Public-Key Crypto Library (ECC Code) included
- * herein is developed by SUN MICROSYSTEMS, INC., and is contributed
- * to the OpenSSL project.
- *
- * The ECC Code is licensed pursuant to the OpenSSL open source
- * license provided below.
- *
- * In addition, Sun covenants to all licensees who provide a reciprocal
- * covenant with respect to their own patents if any, not to sue under
- * current and future patent claims necessarily infringed by the making,
- * using, practicing, selling, offering for sale and/or otherwise
- * disposing of the ECC Code as delivered hereunder (or portions thereof),
- * provided that such covenant shall not apply:
- * 1) for code that a licensee deletes from the ECC Code;
- * 2) separates from the ECC Code; or
- * 3) for infringements caused by:
- * i) the modification of the ECC Code or
- * ii) the combination of the ECC Code with other software or
- * devices where such combination causes the infringement.
- *
- * The software is originally written by Sheueling Chang Shantz and
- * Douglas Stebila of Sun Microsystems Laboratories.
- *
- */
-
/*
- * NOTE: This file is licensed pursuant to the OpenSSL license below and may
- * be modified; but after modifications, the above covenant may no longer
- * apply! In such cases, the corresponding paragraph ["In addition, Sun
- * covenants ... causes the infringement."] and this note can be edited out;
- * but please keep the Sun copyright notice and attribution.
- */
-
-/* ====================================================================
- * Copyright (c) 1998-2002 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).
+ * Copyright 2002-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
+ * Licensed under the OpenSSL license (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
*/
#include <assert.h>
*/
# define MAX_ITERATIONS 50
-static const BN_ULONG SQR_tb[16] = { 0, 1, 4, 5, 16, 17, 20, 21,
- 64, 65, 68, 69, 80, 81, 84, 85
-};
+# define SQR_nibble(w) ((((w) & 8) << 3) \
+ | (((w) & 4) << 2) \
+ | (((w) & 2) << 1) \
+ | ((w) & 1))
+
/* Platform-specific macros to accelerate squaring. */
# if defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
# define SQR1(w) \
- SQR_tb[(w) >> 60 & 0xF] << 56 | SQR_tb[(w) >> 56 & 0xF] << 48 | \
- SQR_tb[(w) >> 52 & 0xF] << 40 | SQR_tb[(w) >> 48 & 0xF] << 32 | \
- SQR_tb[(w) >> 44 & 0xF] << 24 | SQR_tb[(w) >> 40 & 0xF] << 16 | \
- SQR_tb[(w) >> 36 & 0xF] << 8 | SQR_tb[(w) >> 32 & 0xF]
+ SQR_nibble((w) >> 60) << 56 | SQR_nibble((w) >> 56) << 48 | \
+ SQR_nibble((w) >> 52) << 40 | SQR_nibble((w) >> 48) << 32 | \
+ SQR_nibble((w) >> 44) << 24 | SQR_nibble((w) >> 40) << 16 | \
+ SQR_nibble((w) >> 36) << 8 | SQR_nibble((w) >> 32)
# define SQR0(w) \
- SQR_tb[(w) >> 28 & 0xF] << 56 | SQR_tb[(w) >> 24 & 0xF] << 48 | \
- SQR_tb[(w) >> 20 & 0xF] << 40 | SQR_tb[(w) >> 16 & 0xF] << 32 | \
- SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >> 8 & 0xF] << 16 | \
- SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF]
+ SQR_nibble((w) >> 28) << 56 | SQR_nibble((w) >> 24) << 48 | \
+ SQR_nibble((w) >> 20) << 40 | SQR_nibble((w) >> 16) << 32 | \
+ SQR_nibble((w) >> 12) << 24 | SQR_nibble((w) >> 8) << 16 | \
+ SQR_nibble((w) >> 4) << 8 | SQR_nibble((w) )
# endif
# ifdef THIRTY_TWO_BIT
# define SQR1(w) \
- SQR_tb[(w) >> 28 & 0xF] << 24 | SQR_tb[(w) >> 24 & 0xF] << 16 | \
- SQR_tb[(w) >> 20 & 0xF] << 8 | SQR_tb[(w) >> 16 & 0xF]
+ SQR_nibble((w) >> 28) << 24 | SQR_nibble((w) >> 24) << 16 | \
+ SQR_nibble((w) >> 20) << 8 | SQR_nibble((w) >> 16)
# define SQR0(w) \
- SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >> 8 & 0xF] << 16 | \
- SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF]
+ SQR_nibble((w) >> 12) << 24 | SQR_nibble((w) >> 8) << 16 | \
+ SQR_nibble((w) >> 4) << 8 | SQR_nibble((w) )
# endif
# if !defined(OPENSSL_BN_ASM_GF2m)
* Hernandez, J.L., and Menezes, A. "Software Implementation of Elliptic
* Curve Cryptography Over Binary Fields".
*/
-int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+static int BN_GF2m_mod_inv_vartime(BIGNUM *r, const BIGNUM *a,
+ const BIGNUM *p, BN_CTX *ctx)
{
BIGNUM *b, *c = NULL, *u = NULL, *v = NULL, *tmp;
int ret = 0;
BN_CTX_start(ctx);
- if ((b = BN_CTX_get(ctx)) == NULL)
- goto err;
- if ((c = BN_CTX_get(ctx)) == NULL)
- goto err;
- if ((u = BN_CTX_get(ctx)) == NULL)
- goto err;
- if ((v = BN_CTX_get(ctx)) == NULL)
+ b = BN_CTX_get(ctx);
+ c = BN_CTX_get(ctx);
+ u = BN_CTX_get(ctx);
+ v = BN_CTX_get(ctx);
+ if (v == NULL)
goto err;
if (!BN_GF2m_mod(u, a, p))
int top = p->top;
BN_ULONG *udp, *bdp, *vdp, *cdp;
- bn_wexpand(u, top);
+ if (!bn_wexpand(u, top))
+ goto err;
udp = u->d;
for (i = u->top; i < top; i++)
udp[i] = 0;
u->top = top;
- bn_wexpand(b, top);
+ if (!bn_wexpand(b, top))
+ goto err;
bdp = b->d;
bdp[0] = 1;
for (i = 1; i < top; i++)
bdp[i] = 0;
b->top = top;
- bn_wexpand(c, top);
+ if (!bn_wexpand(c, top))
+ goto err;
cdp = c->d;
for (i = 0; i < top; i++)
cdp[i] = 0;
return ret;
}
+/*-
+ * Wrapper for BN_GF2m_mod_inv_vartime that blinds the input before calling.
+ * This is not constant time.
+ * But it does eliminate first order deduction on the input.
+ */
+int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+{
+ BIGNUM *b = NULL;
+ int ret = 0;
+
+ BN_CTX_start(ctx);
+ if ((b = BN_CTX_get(ctx)) == NULL)
+ goto err;
+
+ /* generate blinding value */
+ do {
+ if (!BN_priv_rand(b, BN_num_bits(p) - 1,
+ BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY))
+ goto err;
+ } while (BN_is_zero(b));
+
+ /* r := a * b */
+ if (!BN_GF2m_mod_mul(r, a, b, p, ctx))
+ goto err;
+
+ /* r := 1/(a * b) */
+ if (!BN_GF2m_mod_inv_vartime(r, r, p, ctx))
+ goto err;
+
+ /* r := b/(a * b) = 1/a */
+ if (!BN_GF2m_mod_mul(r, r, b, p, ctx))
+ goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
+
/*
* Invert xx, reduce modulo p, and store the result in r. r could be xx.
* This function calls down to the BN_GF2m_mod_inv implementation; this
return ret;
}
-# ifndef OPENSSL_SUN_GF2M_DIV
/*
* Divide y by x, reduce modulo p, and store the result in r. r could be x
* or y, x could equal y.
BN_CTX_end(ctx);
return ret;
}
-# else
-/*
- * Divide y by x, reduce modulo p, and store the result in r. r could be x
- * or y, x could equal y. Uses algorithm Modular_Division_GF(2^m) from
- * Chang-Shantz, S. "From Euclid's GCD to Montgomery Multiplication to the
- * Great Divide".
- */
-int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x,
- const BIGNUM *p, BN_CTX *ctx)
-{
- BIGNUM *a, *b, *u, *v;
- int ret = 0;
-
- bn_check_top(y);
- bn_check_top(x);
- bn_check_top(p);
-
- BN_CTX_start(ctx);
-
- a = BN_CTX_get(ctx);
- b = BN_CTX_get(ctx);
- u = BN_CTX_get(ctx);
- v = BN_CTX_get(ctx);
- if (v == NULL)
- goto err;
-
- /* reduce x and y mod p */
- if (!BN_GF2m_mod(u, y, p))
- goto err;
- if (!BN_GF2m_mod(a, x, p))
- goto err;
- if (!BN_copy(b, p))
- goto err;
-
- while (!BN_is_odd(a)) {
- if (!BN_rshift1(a, a))
- goto err;
- if (BN_is_odd(u))
- if (!BN_GF2m_add(u, u, p))
- goto err;
- if (!BN_rshift1(u, u))
- goto err;
- }
-
- do {
- if (BN_GF2m_cmp(b, a) > 0) {
- if (!BN_GF2m_add(b, b, a))
- goto err;
- if (!BN_GF2m_add(v, v, u))
- goto err;
- do {
- if (!BN_rshift1(b, b))
- goto err;
- if (BN_is_odd(v))
- if (!BN_GF2m_add(v, v, p))
- goto err;
- if (!BN_rshift1(v, v))
- goto err;
- } while (!BN_is_odd(b));
- } else if (BN_abs_is_word(a, 1))
- break;
- else {
- if (!BN_GF2m_add(a, a, b))
- goto err;
- if (!BN_GF2m_add(u, u, v))
- goto err;
- do {
- if (!BN_rshift1(a, a))
- goto err;
- if (BN_is_odd(u))
- if (!BN_GF2m_add(u, u, p))
- goto err;
- if (!BN_rshift1(u, u))
- goto err;
- } while (!BN_is_odd(a));
- }
- } while (1);
-
- if (!BN_copy(r, u))
- goto err;
- bn_check_top(r);
- ret = 1;
-
- err:
- BN_CTX_end(ctx);
- return ret;
-}
-# endif
/*
* Divide yy by xx, reduce modulo p, and store the result in r. r could be xx
bn_check_top(b);
if (BN_is_zero(b))
- return (BN_one(r));
+ return BN_one(r);
if (BN_abs_is_word(b, 1))
return (BN_copy(r, a) != NULL);
if (tmp == NULL)
goto err;
do {
- if (!BN_rand(rho, p[0], 0, 0))
+ if (!BN_priv_rand(rho, p[0], BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY))
goto err;
if (!BN_GF2m_mod_arr(rho, rho, p))
goto err;
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