ssl/libcrypto/src/crypto/bn/bn_nist.c
changeset 0 e4d67989cc36
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/ssl/libcrypto/src/crypto/bn/bn_nist.c	Tue Feb 02 02:01:42 2010 +0200
@@ -0,0 +1,832 @@
+/* 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).
+ *
+ */
+ /*
+ © Portions copyright (c) 2006 Nokia Corporation.  All rights reserved.
+ */
+
+
+
+#include "bn_lcl.h"
+#include "cryptlib.h"
+#if (defined(SYMBIAN) && (defined(__WINSCW__) || defined(__WINS__)))
+#include "libcrypto_wsd_macros.h"
+#include "libcrypto_wsd.h"
+#endif
+
+
+#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
+
+
+#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_521[] =
+	{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+	0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+	0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+	0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+	0x00000000000001FFULL};
+#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};
+#endif
+
+
+
+
+EXPORT_C const BIGNUM *BN_get0_nist_prime_192(void)
+	{
+#ifndef EMULATOR	
+	static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192,
+		BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
+#else
+	static const BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192,
+		BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
+	
+#endif	
+	return &const_nist_192;
+	}
+
+EXPORT_C const BIGNUM *BN_get0_nist_prime_224(void)
+	{
+#ifndef EMULATOR		
+	static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224,
+		BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
+#else
+    static const  BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224,
+		BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
+		
+#endif		
+
+	return &const_nist_224;
+	}
+
+EXPORT_C const BIGNUM *BN_get0_nist_prime_256(void)
+	{
+#ifndef EMULATOR		
+	static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256,
+		BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
+#else		
+    static const BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256,
+		BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
+
+#endif		
+	return &const_nist_256;
+	}
+
+EXPORT_C const BIGNUM *BN_get0_nist_prime_384(void)
+	{
+#ifndef EMULATOR		
+	static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384,
+		BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
+#else
+    static const BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384,
+		BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
+		
+#endif		
+	return &const_nist_384;
+	}
+
+EXPORT_C const BIGNUM *BN_get0_nist_prime_521(void)
+	{
+#ifndef EMULATOR		
+	static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
+		BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
+#else
+	static const BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
+		BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
+		
+#endif		
+	return &const_nist_521;
+	}
+
+/* some misc internal functions */
+#if BN_BITS2 != 64
+#ifndef EMULATOR
+static BN_ULONG _256_data[BN_NIST_256_TOP*6];
+static int _is_set_256_data = 0;
+static void _init_256_data(void);
+
+static BN_ULONG _384_data[BN_NIST_384_TOP*8];
+static int _is_set_384_data = 0;
+static void _init_384_data(void);
+#else
+GET_STATIC_ARRAY_FROM_TLS(_256_data,bn_nist,BN_ULONG)
+#define _256_data (GET_WSD_VAR_NAME(_256_data,bn_nist, s)())
+GET_STATIC_VAR_FROM_TLS(_is_set_256_data,bn_nist,int)
+#define _is_set_256_data (*GET_WSD_VAR_NAME(_is_set_256_data,bn_nist, s)())
+
+GET_STATIC_ARRAY_FROM_TLS(_384_data,bn_nist,BN_ULONG)
+#define _384_data (GET_WSD_VAR_NAME(_384_data,bn_nist, s)())
+GET_STATIC_VAR_FROM_TLS(_is_set_384_data,bn_nist,int)
+#define _is_set_384_data (*GET_WSD_VAR_NAME(_is_set_384_data,bn_nist, s)())
+#endif
+#endif
+
+#define BN_NIST_ADD_ONE(a)	while (!(++(*(a)))) ++(a);
+
+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;
+        }
+
+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++;
+        }
+
+#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;
+#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 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)\
+	}
+
+EXPORT_C int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+	BN_CTX *ctx)
+	{
+	int      top = a->top, i;
+	BN_ULONG carry = 0;
+	register BN_ULONG *r_d, *a_d = a->d;
+	BN_ULONG t_d[BN_NIST_192_TOP],
+	         buf[BN_NIST_192_TOP];
+
+	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);
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
+		++carry;
+
+	nist_set_192(t_d, buf, 4, 4, 0);
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
+		++carry;
+
+#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
+# pragma message restore
+#endif
+
+	nist_set_192(t_d, buf, 5, 5, 5)
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
+		++carry;
+
+	while (carry)
+		{
+		if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
+			--carry; 
+		}
+	r->top = BN_NIST_192_TOP;
+	bn_correct_top(r);
+	if (BN_ucmp(r, field) >= 0)
+		{
+		bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
+		bn_correct_top(r);
+		}
+
+	bn_check_top(r);
+	return 1;
+	}
+
+#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)\
+	}
+
+EXPORT_C int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+	BN_CTX *ctx)
+	{
+#if BN_BITS2 != 64
+	int	top = a->top, i;
+	int	carry = 0;
+	BN_ULONG *r_d, *a_d = a->d;
+	BN_ULONG t_d[BN_NIST_224_TOP],
+	         buf[BN_NIST_224_TOP];
+
+	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);
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+		++carry;
+	nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+		++carry;
+	nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
+	if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+		--carry;
+	nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
+	if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+		--carry;
+
+	if (carry > 0)
+		while (carry)
+			{
+			if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
+				--carry;
+			}
+	else if (carry < 0)
+		while (carry)
+			{
+			if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
+				++carry;
+			}
+
+	r->top = BN_NIST_224_TOP;
+	bn_correct_top(r);
+	if (BN_ucmp(r, field) >= 0)
+		{
+		bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
+		bn_correct_top(r);
+		}
+	bn_check_top(r);
+	return 1;
+#else
+	return 0;
+#endif
+	}
+
+#if BN_BITS2 != 64
+static void _init_256_data(void)
+	{
+	int	i;
+	BN_ULONG *tmp1 = _256_data;
+	const BN_ULONG *tmp2 = tmp1;
+
+	memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
+	tmp1 += BN_NIST_256_TOP;
+
+	for (i=0; i<5; i++)
+		{
+		bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
+		tmp2  = tmp1;
+		tmp1 += BN_NIST_256_TOP;
+		}
+	_is_set_256_data = 1;
+	}
+#endif
+
+#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)\
+	}
+
+EXPORT_C int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+	BN_CTX *ctx)
+	{
+#if BN_BITS2 != 64
+	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],
+	         t_d2[BN_NIST_256_TOP],
+	         buf[BN_NIST_256_TOP];
+
+	if (!_is_set_256_data)
+		{
+		CRYPTO_w_lock(CRYPTO_LOCK_BN);
+		
+		if (!_is_set_256_data)
+			_init_256_data();
+		
+		CRYPTO_w_unlock(CRYPTO_LOCK_BN);
+		}
+	
+	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(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0);
+	if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
+		carry = 2;
+	/* 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;
+			}
+		if (c)
+			++carry;
+		}
+
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+		++carry;
+	/*S3*/
+	nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+		++carry;
+	/*S4*/
+	nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+		++carry;
+	/*D1*/
+	nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
+	if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+		--carry;
+	/*D2*/
+	nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
+	if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+		--carry;
+	/*D3*/
+	nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
+	if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+		--carry;
+	/*D4*/
+	nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
+	if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+		--carry;
+	
+	if (carry)
+		{
+		if (carry > 0)
+			bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
+				--carry, BN_NIST_256_TOP);
+		else
+			{
+			carry = -carry;
+			bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
+				--carry, BN_NIST_256_TOP);
+			}
+		}
+
+	r->top = BN_NIST_256_TOP;
+	bn_correct_top(r);
+	if (BN_ucmp(r, field) >= 0)
+		{
+		bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
+		bn_correct_top(r);
+		}
+	bn_check_top(r);
+	return 1;
+#else
+	return 0;
+#endif
+	}
+
+#if BN_BITS2 != 64
+static void _init_384_data(void)
+	{
+	int	i;
+	BN_ULONG *tmp1 = _384_data;
+	const BN_ULONG *tmp2 = tmp1;
+
+	memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
+	tmp1 += BN_NIST_384_TOP;
+
+	for (i=0; i<7; i++)
+		{
+		bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
+		tmp2  = tmp1;
+		tmp1 += BN_NIST_384_TOP;
+		}
+	_is_set_384_data = 1;
+	}
+#endif
+
+#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)\
+	}
+
+EXPORT_C int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+	BN_CTX *ctx)
+	{
+#if BN_BITS2 != 64
+	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];
+
+	if (!_is_set_384_data)
+		{
+		CRYPTO_w_lock(CRYPTO_LOCK_BN);
+		
+		if (!_is_set_384_data)
+			_init_384_data();
+
+		CRYPTO_w_unlock(CRYPTO_LOCK_BN);
+		}
+
+	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 = BN_NIST_256_TOP; i != 0; --i)
+			{
+			t= *ap;
+			*(ap++)=((t<<1)|c)&BN_MASK2;
+			c=(t & BN_TBIT)?1:0;
+			}
+		}
+	if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2), 
+		t_d, BN_NIST_256_TOP))
+		++carry;
+	/*S2 */
+	if (bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP))
+		++carry;
+	/*S3*/
+	nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+		++carry;
+	/*S4*/
+	nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+		++carry;
+	/*S5*/
+	nist_set_256(t_d, buf, 0, 0, 0, 0, 23-4, 22-4, 21-4, 20-4);
+	if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2), 
+		t_d, BN_NIST_256_TOP))
+		++carry;
+	/*S6*/
+	nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
+	if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+		++carry;
+	/*D1*/
+	nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
+	if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+		--carry;
+	/*D2*/
+	nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
+	if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+		--carry;
+	/*D3*/
+	nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
+	if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+		--carry;
+	
+	if (carry)
+		{
+		if (carry > 0)
+			bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
+				--carry, BN_NIST_384_TOP);
+		else
+			{
+			carry = -carry;
+			bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
+				--carry, BN_NIST_384_TOP);
+			}
+		}
+
+	r->top = BN_NIST_384_TOP;
+	bn_correct_top(r);
+	if (BN_ucmp(r, field) >= 0)
+		{
+		bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
+		bn_correct_top(r);
+		}
+	bn_check_top(r);
+	return 1;
+#else
+	return 0;
+#endif
+	}
+
+EXPORT_C 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
+#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;
+	}