-/* crypto/bn/bn_nist.c */
/*
- * Written by Nils Larsch for the OpenSSL project
- */
-/* ====================================================================
- * Copyright (c) 1998-2005 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 2002-2016 The OpenSSL Project Authors. 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 "bn_lcl.h"
-#include "cryptlib.h"
+#include "internal/cryptlib.h"
-#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
-#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
+/* pre-computed tables are "carry-less" values of modulus*(i+1) */
#if BN_BITS2 == 64
-static const BN_ULONG _nist_p_192[] =
- {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,
- 0xFFFFFFFFFFFFFFFFULL};
-static const BN_ULONG _nist_p_224[] =
- {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL};
-static const BN_ULONG _nist_p_256[] =
- {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
- 0x0000000000000000ULL,0xFFFFFFFF00000001ULL};
-static const BN_ULONG _nist_p_384[] =
- {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,
- 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL};
+static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
+ {0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL}
+};
+
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x0000000000000001ULL, 0x0000000000000002ULL, 0x0000000000000001ULL,
+ 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL
+};
+
+static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
+ {0x0000000000000001ULL, 0xFFFFFFFF00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL},
+ {0x0000000000000002ULL, 0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFFULL} /* this one is
+ * "carry-full" */
+};
+
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x0000000200000000ULL,
+ 0x0000000000000000ULL, 0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL
+};
+
+static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
+ {0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFF00000001ULL},
+ {0xFFFFFFFFFFFFFFFEULL, 0x00000001FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFE00000002ULL},
+ {0xFFFFFFFFFFFFFFFDULL, 0x00000002FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFD00000003ULL},
+ {0xFFFFFFFFFFFFFFFCULL, 0x00000003FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFC00000004ULL},
+ {0xFFFFFFFFFFFFFFFBULL, 0x00000004FFFFFFFFULL,
+ 0x0000000000000000ULL, 0xFFFFFFFB00000005ULL},
+};
+
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFEULL,
+ 0x00000001FFFFFFFEULL, 0x00000001FFFFFFFEULL,
+ 0xFFFFFFFE00000001ULL, 0xFFFFFFFE00000002ULL
+};
+
+static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
+ {0x00000000FFFFFFFFULL, 0xFFFFFFFF00000000ULL, 0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0x00000002FFFFFFFDULL, 0xFFFFFFFD00000000ULL, 0xFFFFFFFFFFFFFFFCULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0x00000003FFFFFFFCULL, 0xFFFFFFFC00000000ULL, 0xFFFFFFFFFFFFFFFBULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0x00000004FFFFFFFBULL, 0xFFFFFFFB00000000ULL, 0xFFFFFFFFFFFFFFFAULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
+};
+
+static const BN_ULONG _nist_p_384_sqr[] = {
+ 0xFFFFFFFE00000001ULL, 0x0000000200000000ULL, 0xFFFFFFFE00000000ULL,
+ 0x0000000200000000ULL, 0x0000000000000001ULL, 0x0000000000000000ULL,
+ 0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL
+};
+
static const BN_ULONG _nist_p_521[] =
- {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
- 0x00000000000001FFULL};
+ { 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0x00000000000001FFULL
+};
+
+static const BN_ULONG _nist_p_521_sqr[] = {
+ 0x0000000000000001ULL, 0x0000000000000000ULL, 0x0000000000000000ULL,
+ 0x0000000000000000ULL, 0x0000000000000000ULL, 0x0000000000000000ULL,
+ 0x0000000000000000ULL, 0x0000000000000000ULL, 0xFFFFFFFFFFFFFC00ULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL, 0x000000000003FFFFULL
+};
#elif BN_BITS2 == 32
-static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
-static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
-static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
-static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
- 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
-static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0x000001FF};
-#elif BN_BITS2 == 16
-static const BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
-static const BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
- 0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
-static const BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
- 0xFFFF};
-static const BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000,
- 0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
-static const BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF};
-#elif BN_BITS2 == 8
-static const BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF};
-static const BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
- 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
-static const BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
- 0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF};
-static const BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
- 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
-static const BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0x01};
+static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
+ {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}
+};
+
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000,
+ 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
+};
+
+static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
+ {0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}
+};
+
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000002,
+ 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF
+};
+
+static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
+ {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000,
+ 0x00000000, 0x00000000, 0x00000001, 0xFFFFFFFF},
+ {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001,
+ 0x00000000, 0x00000000, 0x00000002, 0xFFFFFFFE},
+ {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000002,
+ 0x00000000, 0x00000000, 0x00000003, 0xFFFFFFFD},
+ {0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000003,
+ 0x00000000, 0x00000000, 0x00000004, 0xFFFFFFFC},
+ {0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000004,
+ 0x00000000, 0x00000000, 0x00000005, 0xFFFFFFFB},
+};
+
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001,
+ 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001,
+ 0x00000001, 0xFFFFFFFE, 0x00000002, 0xFFFFFFFE
+};
+
+static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
+ {0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFD, 0x00000002, 0x00000000, 0xFFFFFFFD, 0xFFFFFFFC, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFC, 0x00000003, 0x00000000, 0xFFFFFFFC, 0xFFFFFFFB, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+ {0xFFFFFFFB, 0x00000004, 0x00000000, 0xFFFFFFFB, 0xFFFFFFFA, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
+};
+
+static const BN_ULONG _nist_p_384_sqr[] = {
+ 0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000, 0xFFFFFFFE,
+ 0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000,
+ 0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
+};
+
+static const BN_ULONG _nist_p_521[] = { 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0x000001FF
+};
+
+static const BN_ULONG _nist_p_521_sqr[] = {
+ 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+ 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+ 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFC00, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0x0003FFFF
+};
+#else
+# error "unsupported BN_BITS2"
#endif
+static const BIGNUM _bignum_nist_p_192 = {
+ (BN_ULONG *)_nist_p_192[0],
+ BN_NIST_192_TOP,
+ BN_NIST_192_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
+static const BIGNUM _bignum_nist_p_224 = {
+ (BN_ULONG *)_nist_p_224[0],
+ BN_NIST_224_TOP,
+ BN_NIST_224_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
+static const BIGNUM _bignum_nist_p_256 = {
+ (BN_ULONG *)_nist_p_256[0],
+ BN_NIST_256_TOP,
+ BN_NIST_256_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
+static const BIGNUM _bignum_nist_p_384 = {
+ (BN_ULONG *)_nist_p_384[0],
+ BN_NIST_384_TOP,
+ BN_NIST_384_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
+static const BIGNUM _bignum_nist_p_521 = {
+ (BN_ULONG *)_nist_p_521,
+ BN_NIST_521_TOP,
+ BN_NIST_521_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
const BIGNUM *BN_get0_nist_prime_192(void)
- {
- static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192,
- BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_192;
- }
+{
+ return &_bignum_nist_p_192;
+}
const BIGNUM *BN_get0_nist_prime_224(void)
- {
- static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224,
- BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_224;
- }
+{
+ return &_bignum_nist_p_224;
+}
const BIGNUM *BN_get0_nist_prime_256(void)
- {
- static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256,
- BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_256;
- }
+{
+ return &_bignum_nist_p_256;
+}
const BIGNUM *BN_get0_nist_prime_384(void)
- {
- static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384,
- BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_384;
- }
+{
+ return &_bignum_nist_p_384;
+}
const BIGNUM *BN_get0_nist_prime_521(void)
- {
- static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
- BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_521;
- }
+{
+ return &_bignum_nist_p_521;
+}
-#define BN_NIST_ADD_ONE(a) while (!(*(a)=(*(a)+1)&BN_MASK2)) ++(a);
+static void nist_cp_bn_0(BN_ULONG *dst, const BN_ULONG *src, int top, int max)
+{
+ int i;
-static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
- {
- int i;
- BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
- for (i = (top); i != 0; i--)
- *_tmp1++ = *_tmp2++;
- for (i = (max) - (top); i != 0; i--)
- *_tmp1++ = (BN_ULONG) 0;
- }
+#ifdef BN_DEBUG
+ OPENSSL_assert(top <= max);
+#endif
+ for (i = 0; i < top; i++)
+ dst[i] = src[i];
+ for (; i < max; i++)
+ dst[i] = 0;
+}
-static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
- {
- int i;
- BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
- for (i = (top); i != 0; i--)
- *_tmp1++ = *_tmp2++;
- }
+static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top)
+{
+ int i;
+
+ for (i = 0; i < top; i++)
+ dst[i] = src[i];
+}
#if BN_BITS2 == 64
-#define bn_cp_64(to, n, from, m) (to)[n] = (from)[m];
-#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
-/* TBD */
-#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
-#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
+# define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
+# define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
+/*
+ * two following macros are implemented under assumption that they
+ * are called in a sequence with *ascending* n, i.e. as they are...
+ */
+# define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\
+ :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
+# define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
+# define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
+# if defined(L_ENDIAN)
+# if defined(__arch64__)
+# define NIST_INT64 long
+# else
+# define NIST_INT64 long long
+# endif
+# endif
#else
-#define bn_cp_64(to, n, from, m) \
- { \
- bn_cp_32(to, (n)*2, from, (m)*2); \
- bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
- }
-#define bn_64_set_0(to, n) \
- { \
- bn_32_set_0(to, (n)*2); \
- bn_32_set_0(to, (n)*2+1); \
- }
-#if BN_BITS2 == 32
-#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
-#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
-#elif BN_BITS2 == 16
-#define bn_cp_32(to, n, from, m) \
- { \
- (to)[(n)*2] = (from)[(m)*2]; \
- (to)[(n)*2+1] = (from)[(m)*2+1];\
- }
-#define bn_32_set_0(to, n) { (to)[(n)*2] = 0; (to)[(n)*2+1] = 0; }
-#elif BN_BITS2 == 8
-#define bn_cp_32(to, n, from, m) \
- { \
- (to)[(n)*4] = (from)[(m)*4]; \
- (to)[(n)*4+1] = (from)[(m)*4+1];\
- (to)[(n)*4+2] = (from)[(m)*4+2];\
- (to)[(n)*4+3] = (from)[(m)*4+3];\
- }
-#define bn_32_set_0(to, n) \
- { (to)[(n)*4] = (BN_ULONG)0; (to)[(n)*4+1] = (BN_ULONG)0; \
- (to)[(n)*4+2] = (BN_ULONG)0; (to)[(n)*4+3] = (BN_ULONG)0; }
-#endif
-#endif /* BN_BITS2 != 64 */
-
+# define bn_cp_64(to, n, from, m) \
+ { \
+ bn_cp_32(to, (n)*2, from, (m)*2); \
+ bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
+ }
+# define bn_64_set_0(to, n) \
+ { \
+ bn_32_set_0(to, (n)*2); \
+ bn_32_set_0(to, (n)*2+1); \
+ }
+# define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
+# define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
+# if defined(_WIN32) && !defined(__GNUC__)
+# define NIST_INT64 __int64
+# elif defined(BN_LLONG)
+# define NIST_INT64 long long
+# endif
+#endif /* BN_BITS2 != 64 */
#define nist_set_192(to, from, a1, a2, a3) \
- { \
- if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\
- bn_cp_64(to, 1, from, (a2) - 3) \
- if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\
- }
+ { \
+ bn_cp_64(to, 0, from, (a3) - 3) \
+ bn_cp_64(to, 1, from, (a2) - 3) \
+ bn_cp_64(to, 2, from, (a1) - 3) \
+ }
int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
- int top = a->top, i;
- int carry;
- register BN_ULONG *r_d, *a_d = a->d;
- BN_ULONG t_d[BN_NIST_192_TOP],
- buf[BN_NIST_192_TOP],
- c_d[BN_NIST_192_TOP],
- *res;
- size_t mask;
-
- i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else if (i > 0)
- return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
-
- if (top == BN_NIST_192_TOP)
- return BN_usub(r, a, field);
-
- if (r != a)
- {
- if (!bn_wexpand(r, BN_NIST_192_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
- }
- else
- r_d = a_d;
-
- nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
-
-#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
-# pragma message save
-# pragma message disable BADSUBSCRIPT
-#endif
-
- nist_set_192(t_d, buf, 0, 3, 3);
- carry = bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192,BN_NIST_192_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- nist_set_192(t_d, buf, 4, 4, 0);
- carry = bn_add_words(r_d, res, t_d, BN_NIST_192_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192,BN_NIST_192_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
-#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
-# pragma message restore
+ BN_CTX *ctx)
+{
+ int top = a->top, i;
+ int carry;
+ register BN_ULONG *r_d, *a_d = a->d;
+ union {
+ BN_ULONG bn[BN_NIST_192_TOP];
+ unsigned int ui[BN_NIST_192_TOP * sizeof(BN_ULONG) /
+ sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_192_TOP], *res;
+ PTR_SIZE_INT mask;
+ static const BIGNUM _bignum_nist_p_192_sqr = {
+ (BN_ULONG *)_nist_p_192_sqr,
+ OSSL_NELEM(_nist_p_192_sqr),
+ OSSL_NELEM(_nist_p_192_sqr),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_192; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_192_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_192_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
+ } else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP,
+ BN_NIST_192_TOP);
+
+#if defined(NIST_INT64)
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp = (unsigned int *)r_d;
+ const unsigned int *bp = (const unsigned int *)buf.ui;
+
+ acc = rp[0];
+ acc += bp[3 * 2 - 6];
+ acc += bp[5 * 2 - 6];
+ rp[0] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[1];
+ acc += bp[3 * 2 - 5];
+ acc += bp[5 * 2 - 5];
+ rp[1] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[2];
+ acc += bp[3 * 2 - 6];
+ acc += bp[4 * 2 - 6];
+ acc += bp[5 * 2 - 6];
+ rp[2] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[3];
+ acc += bp[3 * 2 - 5];
+ acc += bp[4 * 2 - 5];
+ acc += bp[5 * 2 - 5];
+ rp[3] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[4];
+ acc += bp[4 * 2 - 6];
+ acc += bp[5 * 2 - 6];
+ rp[4] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[5];
+ acc += bp[4 * 2 - 5];
+ acc += bp[5 * 2 - 5];
+ rp[5] = (unsigned int)acc;
+
+ carry = (int)(acc >> 32);
+ }
+#else
+ {
+ BN_ULONG t_d[BN_NIST_192_TOP];
+
+ nist_set_192(t_d, buf.bn, 0, 3, 3);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf.bn, 4, 4, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf.bn, 5, 5, 5)
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ }
#endif
-
- nist_set_192(t_d, buf, 5, 5, 5)
- carry = bn_add_words(r_d, res, t_d, BN_NIST_192_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192,BN_NIST_192_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- nist_cp_bn(r_d, res, BN_NIST_192_TOP);
- r->top = BN_NIST_192_TOP;
- bn_correct_top(r);
-
- return 1;
- }
+ if (carry > 0)
+ carry =
+ (int)bn_sub_words(r_d, r_d, _nist_p_192[carry - 1],
+ BN_NIST_192_TOP);
+ else
+ carry = 1;
+
+ /*
+ * we need 'if (carry==0 || result>=modulus) result-=modulus;'
+ * as comparison implies subtraction, we can write
+ * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;'
+ * this is what happens below, but without explicit if:-) a.
+ */
+ mask =
+ 0 - (PTR_SIZE_INT) bn_sub_words(c_d, r_d, _nist_p_192[0],
+ BN_NIST_192_TOP);
+ mask &= 0 - (PTR_SIZE_INT) carry;
+ res = c_d;
+ res = (BN_ULONG *)
+ (((PTR_SIZE_INT) res & ~mask) | ((PTR_SIZE_INT) r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_192_TOP);
+ r->top = BN_NIST_192_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
+
+typedef BN_ULONG (*bn_addsub_f) (BN_ULONG *, const BN_ULONG *,
+ const BN_ULONG *, int);
#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
- { \
- if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\
- if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\
- if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\
- if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\
- if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\
- if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\
- if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\
- }
+ { \
+ bn_cp_32(to, 0, from, (a7) - 7) \
+ bn_cp_32(to, 1, from, (a6) - 7) \
+ bn_cp_32(to, 2, from, (a5) - 7) \
+ bn_cp_32(to, 3, from, (a4) - 7) \
+ bn_cp_32(to, 4, from, (a3) - 7) \
+ bn_cp_32(to, 5, from, (a2) - 7) \
+ bn_cp_32(to, 6, from, (a1) - 7) \
+ }
int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
-#if BN_BITS2 == 32
- int top = a->top, i;
- int carry;
- BN_ULONG *r_d, *a_d = a->d;
- BN_ULONG t_d[BN_NIST_224_TOP],
- buf[BN_NIST_224_TOP],
- c_d[BN_NIST_224_TOP],
- *res;
- size_t mask;
-
- i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else if (i > 0)
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
-
- if (top == BN_NIST_224_TOP)
- return BN_usub(r, a, field);
-
- if (r != a)
- {
- if (!bn_wexpand(r, BN_NIST_224_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
- }
- else
- r_d = a_d;
-
- nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
-
- nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
- carry = bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
- carry = bn_add_words(r_d, res, t_d, BN_NIST_224_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
-#if BRANCH_FREE
- carry = bn_sub_words(r_d, res, t_d, BN_NIST_224_TOP);
- bn_add_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
- mask = 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
+ BN_CTX *ctx)
+{
+ int top = a->top, i;
+ int carry;
+ BN_ULONG *r_d, *a_d = a->d;
+ union {
+ BN_ULONG bn[BN_NIST_224_TOP];
+ unsigned int ui[BN_NIST_224_TOP * sizeof(BN_ULONG) /
+ sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_224_TOP], *res;
+ PTR_SIZE_INT mask;
+ union {
+ bn_addsub_f f;
+ PTR_SIZE_INT p;
+ } u;
+ static const BIGNUM _bignum_nist_p_224_sqr = {
+ (BN_ULONG *)_nist_p_224_sqr,
+ OSSL_NELEM(_nist_p_224_sqr),
+ OSSL_NELEM(_nist_p_224_sqr),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_224; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_224_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_224_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
+ } else
+ r_d = a_d;
+
+#if BN_BITS2==64
+ /* copy upper 256 bits of 448 bit number ... */
+ nist_cp_bn_0(c_d, a_d + (BN_NIST_224_TOP - 1),
+ top - (BN_NIST_224_TOP - 1), BN_NIST_224_TOP);
+ /* ... and right shift by 32 to obtain upper 224 bits */
+ nist_set_224(buf.bn, c_d, 14, 13, 12, 11, 10, 9, 8);
+ /* truncate lower part to 224 bits too */
+ r_d[BN_NIST_224_TOP - 1] &= BN_MASK2l;
#else
- if (bn_sub_words(r_d, res, t_d, BN_NIST_224_TOP))
- bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
+ nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP,
+ BN_NIST_224_TOP);
#endif
- nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
-#if BRANCH_FREE
- carry = bn_sub_words(r_d, res, t_d, BN_NIST_224_TOP);
- bn_add_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
- mask = 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- nist_cp_bn(r_d, res, BN_NIST_224_TOP);
+
+#if defined(NIST_INT64) && BN_BITS2!=64
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp = (unsigned int *)r_d;
+ const unsigned int *bp = (const unsigned int *)buf.ui;
+
+ acc = rp[0];
+ acc -= bp[7 - 7];
+ acc -= bp[11 - 7];
+ rp[0] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[1];
+ acc -= bp[8 - 7];
+ acc -= bp[12 - 7];
+ rp[1] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[2];
+ acc -= bp[9 - 7];
+ acc -= bp[13 - 7];
+ rp[2] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[3];
+ acc += bp[7 - 7];
+ acc += bp[11 - 7];
+ acc -= bp[10 - 7];
+ rp[3] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[4];
+ acc += bp[8 - 7];
+ acc += bp[12 - 7];
+ acc -= bp[11 - 7];
+ rp[4] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[5];
+ acc += bp[9 - 7];
+ acc += bp[13 - 7];
+ acc -= bp[12 - 7];
+ rp[5] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[6];
+ acc += bp[10 - 7];
+ acc -= bp[13 - 7];
+ rp[6] = (unsigned int)acc;
+
+ carry = (int)(acc >> 32);
+# if BN_BITS2==64
+ rp[7] = carry;
+# endif
+ }
#else
- if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
- bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
+ {
+ BN_ULONG t_d[BN_NIST_224_TOP];
+
+ nist_set_224(t_d, buf.bn, 10, 9, 8, 7, 0, 0, 0);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf.bn, 0, 13, 12, 11, 0, 0, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf.bn, 13, 12, 11, 10, 9, 8, 7);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf.bn, 0, 0, 0, 0, 13, 12, 11);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+
+# if BN_BITS2==64
+ carry = (int)(r_d[BN_NIST_224_TOP - 1] >> 32);
+# endif
+ }
#endif
- r->top = BN_NIST_224_TOP;
- bn_correct_top(r);
-
- return 1;
-#else /* BN_BITS!=32 */
- return 0;
+ u.f = bn_sub_words;
+ if (carry > 0) {
+ carry =
+ (int)bn_sub_words(r_d, r_d, _nist_p_224[carry - 1],
+ BN_NIST_224_TOP);
+#if BN_BITS2==64
+ carry = (int)(~(r_d[BN_NIST_224_TOP - 1] >> 32)) & 1;
#endif
- }
+ } else if (carry < 0) {
+ /*
+ * it's a bit more complicated logic in this case. if bn_add_words
+ * yields no carry, then result has to be adjusted by unconditionally
+ * *adding* the modulus. but if it does, then result has to be
+ * compared to the modulus and conditionally adjusted by
+ * *subtracting* the latter.
+ */
+ carry =
+ (int)bn_add_words(r_d, r_d, _nist_p_224[-carry - 1],
+ BN_NIST_224_TOP);
+ mask = 0 - (PTR_SIZE_INT) carry;
+ u.p = ((PTR_SIZE_INT) bn_sub_words & mask) |
+ ((PTR_SIZE_INT) bn_add_words & ~mask);
+ } else
+ carry = 1;
+
+ /* otherwise it's effectively same as in BN_nist_mod_192... */
+ mask =
+ 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_224[0], BN_NIST_224_TOP);
+ mask &= 0 - (PTR_SIZE_INT) carry;
+ res = c_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
+ ((PTR_SIZE_INT) r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_224_TOP);
+ r->top = BN_NIST_224_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
- { \
- if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\
- if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\
- if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\
- if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\
- if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\
- if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\
- if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\
- if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\
- }
+ { \
+ bn_cp_32(to, 0, from, (a8) - 8) \
+ bn_cp_32(to, 1, from, (a7) - 8) \
+ bn_cp_32(to, 2, from, (a6) - 8) \
+ bn_cp_32(to, 3, from, (a5) - 8) \
+ bn_cp_32(to, 4, from, (a4) - 8) \
+ bn_cp_32(to, 5, from, (a3) - 8) \
+ bn_cp_32(to, 6, from, (a2) - 8) \
+ bn_cp_32(to, 7, from, (a1) - 8) \
+ }
int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
-#if BN_BITS2 == 32
- int i, top = a->top;
- int carry = 0;
- register BN_ULONG *a_d = a->d, *r_d;
- BN_ULONG t_d[BN_NIST_256_TOP],
- buf[BN_NIST_256_TOP],
- c_d[BN_NIST_256_TOP],
- *res;
- size_t mask;
-
- i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else if (i > 0)
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
-
- if (top == BN_NIST_256_TOP)
- return BN_usub(r, a, field);
-
- if (r != a)
- {
- if (!bn_wexpand(r, BN_NIST_256_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
- }
- else
- r_d = a_d;
-
- nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
-
- /*S1*/
- nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
- /*S2*/
- nist_set_256(c_d,buf, 0, 15, 14, 13, 12, 0, 0, 0);
- carry = bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,t_d,_nist_p_256,BN_NIST_256_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)t_d&~mask));
-
- carry = bn_add_words(t_d, res, res, BN_NIST_256_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,t_d,_nist_p_256,BN_NIST_256_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)t_d&~mask));
-
- carry = bn_add_words(r_d, r_d, res, BN_NIST_256_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- /*S3*/
- nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
- carry = bn_add_words(r_d, res, t_d, BN_NIST_256_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- /*S4*/
- nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
- carry = bn_add_words(r_d, res, t_d, BN_NIST_256_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- /*D1*/
- nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
-#if BRANCH_FREE
- carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
- bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
- mask = 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-#else
- if (bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP))
- bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
-#endif
- /*D2*/
- nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
-#if BRANCH_FREE
- carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
- bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
- mask = 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-#else
- if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
- bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
-#endif
- /*D3*/
- nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
-#if BRANCH_FREE
- carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
- bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
- mask = 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
+ BN_CTX *ctx)
+{
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *a_d = a->d, *r_d;
+ union {
+ BN_ULONG bn[BN_NIST_256_TOP];
+ unsigned int ui[BN_NIST_256_TOP * sizeof(BN_ULONG) /
+ sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_256_TOP], *res;
+ PTR_SIZE_INT mask;
+ union {
+ bn_addsub_f f;
+ PTR_SIZE_INT p;
+ } u;
+ static const BIGNUM _bignum_nist_p_256_sqr = {
+ (BN_ULONG *)_nist_p_256_sqr,
+ OSSL_NELEM(_nist_p_256_sqr),
+ OSSL_NELEM(_nist_p_256_sqr),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_256; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_256_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_256_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
+ } else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf.bn, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP,
+ BN_NIST_256_TOP);
+
+#if defined(NIST_INT64)
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp = (unsigned int *)r_d;
+ const unsigned int *bp = (const unsigned int *)buf.ui;
+
+ acc = rp[0];
+ acc += bp[8 - 8];
+ acc += bp[9 - 8];
+ acc -= bp[11 - 8];
+ acc -= bp[12 - 8];
+ acc -= bp[13 - 8];
+ acc -= bp[14 - 8];
+ rp[0] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[1];
+ acc += bp[9 - 8];
+ acc += bp[10 - 8];
+ acc -= bp[12 - 8];
+ acc -= bp[13 - 8];
+ acc -= bp[14 - 8];
+ acc -= bp[15 - 8];
+ rp[1] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[2];
+ acc += bp[10 - 8];
+ acc += bp[11 - 8];
+ acc -= bp[13 - 8];
+ acc -= bp[14 - 8];
+ acc -= bp[15 - 8];
+ rp[2] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[3];
+ acc += bp[11 - 8];
+ acc += bp[11 - 8];
+ acc += bp[12 - 8];
+ acc += bp[12 - 8];
+ acc += bp[13 - 8];
+ acc -= bp[15 - 8];
+ acc -= bp[8 - 8];
+ acc -= bp[9 - 8];
+ rp[3] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[4];
+ acc += bp[12 - 8];
+ acc += bp[12 - 8];
+ acc += bp[13 - 8];
+ acc += bp[13 - 8];
+ acc += bp[14 - 8];
+ acc -= bp[9 - 8];
+ acc -= bp[10 - 8];
+ rp[4] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[5];
+ acc += bp[13 - 8];
+ acc += bp[13 - 8];
+ acc += bp[14 - 8];
+ acc += bp[14 - 8];
+ acc += bp[15 - 8];
+ acc -= bp[10 - 8];
+ acc -= bp[11 - 8];
+ rp[5] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[6];
+ acc += bp[14 - 8];
+ acc += bp[14 - 8];
+ acc += bp[15 - 8];
+ acc += bp[15 - 8];
+ acc += bp[14 - 8];
+ acc += bp[13 - 8];
+ acc -= bp[8 - 8];
+ acc -= bp[9 - 8];
+ rp[6] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[7];
+ acc += bp[15 - 8];
+ acc += bp[15 - 8];
+ acc += bp[15 - 8];
+ acc += bp[8 - 8];
+ acc -= bp[10 - 8];
+ acc -= bp[11 - 8];
+ acc -= bp[12 - 8];
+ acc -= bp[13 - 8];
+ rp[7] = (unsigned int)acc;
+
+ carry = (int)(acc >> 32);
+ }
#else
- if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
- bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
-#endif
- /*D4*/
- nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
-#if BRANCH_FREE
- carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
- bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
- mask = 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- nist_cp_bn(r_d, res, BN_NIST_384_TOP);
-#else
- if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
- bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
-#endif
- r->top = BN_NIST_256_TOP;
- bn_correct_top(r);
-
- return 1;
-#else /* BN_BITS!=32 */
- return 0;
+ {
+ BN_ULONG t_d[BN_NIST_256_TOP];
+
+ /*
+ * S1
+ */
+ nist_set_256(t_d, buf.bn, 15, 14, 13, 12, 11, 0, 0, 0);
+ /*
+ * S2
+ */
+ nist_set_256(c_d, buf.bn, 0, 15, 14, 13, 12, 0, 0, 0);
+ carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
+ /* left shift */
+ {
+ register BN_ULONG *ap, t, c;
+ ap = t_d;
+ c = 0;
+ for (i = BN_NIST_256_TOP; i != 0; --i) {
+ t = *ap;
+ *(ap++) = ((t << 1) | c) & BN_MASK2;
+ c = (t & BN_TBIT) ? 1 : 0;
+ }
+ carry <<= 1;
+ carry |= c;
+ }
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * S3
+ */
+ nist_set_256(t_d, buf.bn, 15, 14, 0, 0, 0, 10, 9, 8);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * S4
+ */
+ nist_set_256(t_d, buf.bn, 8, 13, 15, 14, 13, 11, 10, 9);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * D1
+ */
+ nist_set_256(t_d, buf.bn, 10, 8, 0, 0, 0, 13, 12, 11);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * D2
+ */
+ nist_set_256(t_d, buf.bn, 11, 9, 0, 0, 15, 14, 13, 12);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * D3
+ */
+ nist_set_256(t_d, buf.bn, 12, 0, 10, 9, 8, 15, 14, 13);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*
+ * D4
+ */
+ nist_set_256(t_d, buf.bn, 13, 0, 11, 10, 9, 0, 15, 14);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+
+ }
#endif
- }
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry =
+ (int)bn_sub_words(r_d, r_d, _nist_p_256[carry - 1],
+ BN_NIST_256_TOP);
+ else if (carry < 0) {
+ carry =
+ (int)bn_add_words(r_d, r_d, _nist_p_256[-carry - 1],
+ BN_NIST_256_TOP);
+ mask = 0 - (PTR_SIZE_INT) carry;
+ u.p = ((PTR_SIZE_INT) bn_sub_words & mask) |
+ ((PTR_SIZE_INT) bn_add_words & ~mask);
+ } else
+ carry = 1;
+
+ mask =
+ 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_256[0], BN_NIST_256_TOP);
+ mask &= 0 - (PTR_SIZE_INT) carry;
+ res = c_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
+ ((PTR_SIZE_INT) r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_256_TOP);
+ r->top = BN_NIST_256_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
- { \
- if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\
- if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\
- if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\
- if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\
- if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\
- if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\
- if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\
- if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\
- if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\
- if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\
- if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\
- if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\
- }
+ { \
+ bn_cp_32(to, 0, from, (a12) - 12) \
+ bn_cp_32(to, 1, from, (a11) - 12) \
+ bn_cp_32(to, 2, from, (a10) - 12) \
+ bn_cp_32(to, 3, from, (a9) - 12) \
+ bn_cp_32(to, 4, from, (a8) - 12) \
+ bn_cp_32(to, 5, from, (a7) - 12) \
+ bn_cp_32(to, 6, from, (a6) - 12) \
+ bn_cp_32(to, 7, from, (a5) - 12) \
+ bn_cp_32(to, 8, from, (a4) - 12) \
+ bn_cp_32(to, 9, from, (a3) - 12) \
+ bn_cp_32(to, 10, from, (a2) - 12) \
+ bn_cp_32(to, 11, from, (a1) - 12) \
+ }
int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
-#if BN_BITS2 == 32
- int i, top = a->top;
- int carry = 0;
- register BN_ULONG *r_d, *a_d = a->d;
- BN_ULONG t_d[BN_NIST_384_TOP],
- buf[BN_NIST_384_TOP],
- c_d[BN_NIST_384_TOP],
- *res;
- size_t mask;
-
- i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else if (i > 0)
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
-
- if (top == BN_NIST_384_TOP)
- return BN_usub(r, a, field);
-
- if (r != a)
- {
- if (!bn_wexpand(r, BN_NIST_384_TOP))
- return 0;
- r_d = r->d;
- nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
- }
- else
- r_d = a_d;
-
- nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
-
- /*S1*/
- nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
- /* left shift */
- {
- register BN_ULONG *ap,t,c;
- ap = t_d;
- c=0;
- for (i = 3; i != 0; --i)
- {
- t= *ap;
- *(ap++)=((t<<1)|c)&BN_MASK2;
- c=(t & BN_TBIT)?1:0;
- }
- *ap=c;
- }
- carry = bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
- t_d, BN_NIST_256_TOP);
- /*
- * we need if (result>=modulus) subtract(result,modulus);
- * in n-bit space this can be expressed as
- * if (carry || result>=modulus) subtract(result,modulus);
- * the catch is that comparison implies subtraction and
- * therefore one can write tmp=subtract(result,modulus);
- * and then if(carry || !borrow) result=tmp; this's what
- * happens below, but without explicit if:-) a.
- */
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- /*S2 */
- carry = bn_add_words(r_d, res, buf, BN_NIST_384_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- /*S3*/
- nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
- carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- /*S4*/
- nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
- carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- /*S5*/
- nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0);
- carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- /*S6*/
- nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
- carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
- mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
- mask = ~mask | (0-(size_t)carry);
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- /*D1*/
- nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
-#if BRANCH_FREE
- carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
- bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
- mask = 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-#else
- if (bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP))
- bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
-#endif
- /*D2*/
- nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
-#if BRANCH_FREE
- carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
- bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
- mask = 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-#else
- if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
- bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
-#endif
- /*D3*/
- nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
-#if BRANCH_FREE
- carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
- bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
- mask = 0-(size_t)carry;
- res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
-
- nist_cp_bn(r_d, res, BN_NIST_384_TOP);
+ BN_CTX *ctx)
+{
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *r_d, *a_d = a->d;
+ union {
+ BN_ULONG bn[BN_NIST_384_TOP];
+ unsigned int ui[BN_NIST_384_TOP * sizeof(BN_ULONG) /
+ sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_384_TOP], *res;
+ PTR_SIZE_INT mask;
+ union {
+ bn_addsub_f f;
+ PTR_SIZE_INT p;
+ } u;
+ static const BIGNUM _bignum_nist_p_384_sqr = {
+ (BN_ULONG *)_nist_p_384_sqr,
+ OSSL_NELEM(_nist_p_384_sqr),
+ OSSL_NELEM(_nist_p_384_sqr),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_384; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_384_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_384_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
+ } else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf.bn, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP,
+ BN_NIST_384_TOP);
+
+#if defined(NIST_INT64)
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp = (unsigned int *)r_d;
+ const unsigned int *bp = (const unsigned int *)buf.ui;
+
+ acc = rp[0];
+ acc += bp[12 - 12];
+ acc += bp[21 - 12];
+ acc += bp[20 - 12];
+ acc -= bp[23 - 12];
+ rp[0] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[1];
+ acc += bp[13 - 12];
+ acc += bp[22 - 12];
+ acc += bp[23 - 12];
+ acc -= bp[12 - 12];
+ acc -= bp[20 - 12];
+ rp[1] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[2];
+ acc += bp[14 - 12];
+ acc += bp[23 - 12];
+ acc -= bp[13 - 12];
+ acc -= bp[21 - 12];
+ rp[2] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[3];
+ acc += bp[15 - 12];
+ acc += bp[12 - 12];
+ acc += bp[20 - 12];
+ acc += bp[21 - 12];
+ acc -= bp[14 - 12];
+ acc -= bp[22 - 12];
+ acc -= bp[23 - 12];
+ rp[3] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[4];
+ acc += bp[21 - 12];
+ acc += bp[21 - 12];
+ acc += bp[16 - 12];
+ acc += bp[13 - 12];
+ acc += bp[12 - 12];
+ acc += bp[20 - 12];
+ acc += bp[22 - 12];
+ acc -= bp[15 - 12];
+ acc -= bp[23 - 12];
+ acc -= bp[23 - 12];
+ rp[4] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[5];
+ acc += bp[22 - 12];
+ acc += bp[22 - 12];
+ acc += bp[17 - 12];
+ acc += bp[14 - 12];
+ acc += bp[13 - 12];
+ acc += bp[21 - 12];
+ acc += bp[23 - 12];
+ acc -= bp[16 - 12];
+ rp[5] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[6];
+ acc += bp[23 - 12];
+ acc += bp[23 - 12];
+ acc += bp[18 - 12];
+ acc += bp[15 - 12];
+ acc += bp[14 - 12];
+ acc += bp[22 - 12];
+ acc -= bp[17 - 12];
+ rp[6] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[7];
+ acc += bp[19 - 12];
+ acc += bp[16 - 12];
+ acc += bp[15 - 12];
+ acc += bp[23 - 12];
+ acc -= bp[18 - 12];
+ rp[7] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[8];
+ acc += bp[20 - 12];
+ acc += bp[17 - 12];
+ acc += bp[16 - 12];
+ acc -= bp[19 - 12];
+ rp[8] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[9];
+ acc += bp[21 - 12];
+ acc += bp[18 - 12];
+ acc += bp[17 - 12];
+ acc -= bp[20 - 12];
+ rp[9] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[10];
+ acc += bp[22 - 12];
+ acc += bp[19 - 12];
+ acc += bp[18 - 12];
+ acc -= bp[21 - 12];
+ rp[10] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[11];
+ acc += bp[23 - 12];
+ acc += bp[20 - 12];
+ acc += bp[19 - 12];
+ acc -= bp[22 - 12];
+ rp[11] = (unsigned int)acc;
+
+ carry = (int)(acc >> 32);
+ }
#else
- if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
- bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
-#endif
- r->top = BN_NIST_384_TOP;
- bn_correct_top(r);
-
- return 1;
-#else /* BN_BITS!=32 */
- return 0;
+ {
+ BN_ULONG t_d[BN_NIST_384_TOP];
+
+ /*
+ * S1
+ */
+ nist_set_256(t_d, buf.bn, 0, 0, 0, 0, 0, 23 - 4, 22 - 4, 21 - 4);
+ /* left shift */
+ {
+ register BN_ULONG *ap, t, c;
+ ap = t_d;
+ c = 0;
+ for (i = 3; i != 0; --i) {
+ t = *ap;
+ *(ap++) = ((t << 1) | c) & BN_MASK2;
+ c = (t & BN_TBIT) ? 1 : 0;
+ }
+ *ap = c;
+ }
+ carry =
+ (int)bn_add_words(r_d + (128 / BN_BITS2), r_d + (128 / BN_BITS2),
+ t_d, BN_NIST_256_TOP);
+ /*
+ * S2
+ */
+ carry += (int)bn_add_words(r_d, r_d, buf.bn, BN_NIST_384_TOP);
+ /*
+ * S3
+ */
+ nist_set_384(t_d, buf.bn, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22,
+ 21);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * S4
+ */
+ nist_set_384(t_d, buf.bn, 19, 18, 17, 16, 15, 14, 13, 12, 20, 0, 23,
+ 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * S5
+ */
+ nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 23, 22, 21, 20, 0, 0, 0, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * S6
+ */
+ nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 23, 22, 21, 0, 0, 20);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * D1
+ */
+ nist_set_384(t_d, buf.bn, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12,
+ 23);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * D2
+ */
+ nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 22, 21, 20, 0);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*
+ * D3
+ */
+ nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 0);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+
+ }
#endif
- }
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry =
+ (int)bn_sub_words(r_d, r_d, _nist_p_384[carry - 1],
+ BN_NIST_384_TOP);
+ else if (carry < 0) {
+ carry =
+ (int)bn_add_words(r_d, r_d, _nist_p_384[-carry - 1],
+ BN_NIST_384_TOP);
+ mask = 0 - (PTR_SIZE_INT) carry;
+ u.p = ((PTR_SIZE_INT) bn_sub_words & mask) |
+ ((PTR_SIZE_INT) bn_add_words & ~mask);
+ } else
+ carry = 1;
+
+ mask =
+ 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_384[0], BN_NIST_384_TOP);
+ mask &= 0 - (PTR_SIZE_INT) carry;
+ res = c_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
+ ((PTR_SIZE_INT) r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_384_TOP);
+ r->top = BN_NIST_384_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
+
+#define BN_NIST_521_RSHIFT (521%BN_BITS2)
+#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT)
+#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT)
int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
- BN_CTX *ctx)
- {
-#if BN_BITS2 == 64
-#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
-#elif BN_BITS2 == 32
-#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
-#elif BN_BITS2 == 16
-#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
-#elif BN_BITS2 == 8
-#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1
+ BN_CTX *ctx)
+{
+ int top = a->top, i;
+ BN_ULONG *r_d, *a_d = a->d, t_d[BN_NIST_521_TOP], val, tmp, *res;
+ PTR_SIZE_INT mask;
+ static const BIGNUM _bignum_nist_p_521_sqr = {
+ (BN_ULONG *)_nist_p_521_sqr,
+ OSSL_NELEM(_nist_p_521_sqr),
+ OSSL_NELEM(_nist_p_521_sqr),
+ 0, BN_FLG_STATIC_DATA
+ };
+
+ field = &_bignum_nist_p_521; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_521_sqr) >= 0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0) {
+ BN_zero(r);
+ return 1;
+ } else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r, a) != NULL);
+
+ if (r != a) {
+ if (!bn_wexpand(r, BN_NIST_521_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_521_TOP);
+ } else
+ r_d = a_d;
+
+ /* upper 521 bits, copy ... */
+ nist_cp_bn_0(t_d, a_d + (BN_NIST_521_TOP - 1),
+ top - (BN_NIST_521_TOP - 1), BN_NIST_521_TOP);
+ /* ... and right shift */
+ for (val = t_d[0], i = 0; i < BN_NIST_521_TOP - 1; i++) {
+#if 0
+ /*
+ * MSC ARM compiler [version 2013, presumably even earlier,
+ * much earlier] miscompiles this code, but not one in
+ * #else section. See RT#3541.
+ */
+ tmp = val >> BN_NIST_521_RSHIFT;
+ val = t_d[i + 1];
+ t_d[i] = (tmp | val << BN_NIST_521_LSHIFT) & BN_MASK2;
+#else
+ t_d[i] = (val >> BN_NIST_521_RSHIFT |
+ (tmp = t_d[i + 1]) << BN_NIST_521_LSHIFT) & BN_MASK2;
+ val = tmp;
#endif
- int top, ret = 0;
- BN_ULONG *r_d;
- BIGNUM *tmp;
-
- /* check whether a reduction is necessary */
- top = a->top;
- if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP &&
- (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
-
- BN_CTX_start(ctx);
- tmp = BN_CTX_get(ctx);
- if (!tmp)
- goto err;
-
- if (!bn_wexpand(tmp, BN_NIST_521_TOP))
- goto err;
- nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
-
- tmp->top = BN_NIST_521_TOP;
- tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
- bn_correct_top(tmp);
-
- if (!BN_rshift(r, a, 521))
- goto err;
-
- if (!BN_uadd(r, tmp, r))
- goto err;
- top = r->top;
- r_d = r->d;
- if (top == BN_NIST_521_TOP &&
- (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
- {
- BN_NIST_ADD_ONE(r_d)
- r->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
- }
- bn_correct_top(r);
-
- ret = 1;
-err:
- BN_CTX_end(ctx);
-
- bn_check_top(r);
- return ret;
- }
+ }
+ t_d[i] = val >> BN_NIST_521_RSHIFT;
+ /* lower 521 bits */
+ r_d[i] &= BN_NIST_521_TOP_MASK;
+
+ bn_add_words(r_d, r_d, t_d, BN_NIST_521_TOP);
+ mask =
+ 0 - (PTR_SIZE_INT) bn_sub_words(t_d, r_d, _nist_p_521,
+ BN_NIST_521_TOP);
+ res = t_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
+ ((PTR_SIZE_INT) r_d & mask));
+ nist_cp_bn(r_d, res, BN_NIST_521_TOP);
+ r->top = BN_NIST_521_TOP;
+ bn_correct_top(r);
+
+ return 1;
+}
+
+int (*BN_nist_mod_func(const BIGNUM *p)) (BIGNUM *r, const BIGNUM *a,
+ const BIGNUM *field, BN_CTX *ctx) {
+ if (BN_ucmp(&_bignum_nist_p_192, p) == 0)
+ return BN_nist_mod_192;
+ if (BN_ucmp(&_bignum_nist_p_224, p) == 0)
+ return BN_nist_mod_224;
+ if (BN_ucmp(&_bignum_nist_p_256, p) == 0)
+ return BN_nist_mod_256;
+ if (BN_ucmp(&_bignum_nist_p_384, p) == 0)
+ return BN_nist_mod_384;
+ if (BN_ucmp(&_bignum_nist_p_521, p) == 0)
+ return BN_nist_mod_521;
+ return 0;
+}
projects / openssl.git / blobdiff