ssl/libcrypto/src/crypto/bn/bn_lib.c
changeset 0 e4d67989cc36
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/ssl/libcrypto/src/crypto/bn/bn_lib.c	Tue Feb 02 02:01:42 2010 +0200
@@ -0,0 +1,873 @@
+/* crypto/bn/bn_lib.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ * 
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to.  The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code.  The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ * 
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ * 
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ *    must display the following acknowledgement:
+ *    "This product includes cryptographic software written by
+ *     Eric Young (eay@cryptsoft.com)"
+ *    The word 'cryptographic' can be left out if the rouines from the library
+ *    being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from 
+ *    the apps directory (application code) you must include an acknowledgement:
+ *    "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ * 
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ * 
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed.  i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+ /*
+ © Portions copyright (c) 2006 Nokia Corporation.  All rights reserved.
+ */
+
+
+#ifndef BN_DEBUG
+# undef NDEBUG /* avoid conflicting definitions */
+# define NDEBUG
+#endif
+
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+#if (defined(SYMBIAN) && (defined(__WINSCW__) || defined(__WINS__)))
+#include "libcrypto_wsd_macros.h"
+#include "libcrypto_wsd.h"
+#endif
+
+const char BN_version[]="Big Number" OPENSSL_VERSION_PTEXT;
+
+/* This stuff appears to be completely unused, so is deprecated */
+#ifndef OPENSSL_NO_DEPRECATED
+/* For a 32 bit machine
+ * 2 -   4 ==  128
+ * 3 -   8 ==  256
+ * 4 -  16 ==  512
+ * 5 -  32 == 1024
+ * 6 -  64 == 2048
+ * 7 - 128 == 4096
+ * 8 - 256 == 8192
+ */
+
+static int bn_limit_bits=0;
+static int bn_limit_num=8;        /* (1<<bn_limit_bits) */
+static int bn_limit_bits_low=0;
+static int bn_limit_num_low=8;    /* (1<<bn_limit_bits_low) */
+static int bn_limit_bits_high=0;
+static int bn_limit_num_high=8;   /* (1<<bn_limit_bits_high) */
+static int bn_limit_bits_mont=0;
+static int bn_limit_num_mont=8;   /* (1<<bn_limit_bits_mont) */
+EXPORT_C void BN_set_params(int mult, int high, int low, int mont)
+	{
+	if (mult >= 0)
+		{
+		if (mult > (int)(sizeof(int)*8)-1)
+			mult=sizeof(int)*8-1;
+		bn_limit_bits=mult;
+		bn_limit_num=1<<mult;
+		}
+	if (high >= 0)
+		{
+		if (high > (int)(sizeof(int)*8)-1)
+			high=sizeof(int)*8-1;
+		bn_limit_bits_high=high;
+		bn_limit_num_high=1<<high;
+		}
+	if (low >= 0)
+		{
+		if (low > (int)(sizeof(int)*8)-1)
+			low=sizeof(int)*8-1;
+		bn_limit_bits_low=low;
+		bn_limit_num_low=1<<low;
+		}
+	if (mont >= 0)
+		{
+		if (mont > (int)(sizeof(int)*8)-1)
+			mont=sizeof(int)*8-1;
+		bn_limit_bits_mont=mont;
+		bn_limit_num_mont=1<<mont;
+		}
+	}
+
+EXPORT_C int BN_get_params(int which)
+	{
+	if      (which == 0) return(bn_limit_bits);
+	else if (which == 1) return(bn_limit_bits_high);
+	else if (which == 2) return(bn_limit_bits_low);
+	else if (which == 3) return(bn_limit_bits_mont);
+	else return(0);
+	}
+#endif
+
+#ifdef EMULATOR
+GET_STATIC_VAR_FROM_TLS(data_one,bn_lib,BN_ULONG)
+#define data_one (*GET_WSD_VAR_NAME(data_one,bn_lib, s)())
+GET_STATIC_VAR_FROM_TLS(const_one,bn_lib,BIGNUM)
+#define const_one (*GET_WSD_VAR_NAME(const_one,bn_lib, s)())
+
+#endif
+EXPORT_C const BIGNUM *BN_value_one(void)
+	{
+#ifndef EMULATOR 	
+	static BN_ULONG data_one=1L;
+ 
+	static BIGNUM const_one={&data_one,1,1,0,BN_FLG_STATIC_DATA};
+#endif	
+
+	return(&const_one);
+	}
+
+#ifdef EMULATOR	
+GET_STATIC_ARRAY_FROM_TLS(data,bn_lib,char)
+#define data (GET_WSD_VAR_NAME(data,bn_lib, s)())
+GET_STATIC_VAR_FROM_TLS(init,bn_lib,int)
+#define init (*GET_WSD_VAR_NAME(init,bn_lib, s)())
+#endif	
+
+
+EXPORT_C char *BN_options(void)
+	{
+#ifndef EMULATOR	
+	static int init=0;
+	static char data[16];
+#endif	
+
+	if (!init)
+		{
+		init++;
+#ifdef BN_LLONG
+		BIO_snprintf(data,sizeof data,"bn(%d,%d)",
+			     (int)sizeof(BN_ULLONG)*8,(int)sizeof(BN_ULONG)*8);
+#else
+		BIO_snprintf(data,sizeof data,"bn(%d,%d)",
+			     (int)sizeof(BN_ULONG)*8,(int)sizeof(BN_ULONG)*8);
+#endif
+		}
+	return((char*)data);
+	}
+
+EXPORT_C int BN_num_bits_word(BN_ULONG l)
+	{
+	static const char bits[256]={
+		0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,
+		5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
+		6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
+		6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
+		7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
+		7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
+		7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
+		7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
+		8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+		8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+		8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+		8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+		8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+		8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+		8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+		8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+		};
+
+#if defined(SIXTY_FOUR_BIT_LONG)
+	if (l & 0xffffffff00000000L)
+		{
+		if (l & 0xffff000000000000L)
+			{
+			if (l & 0xff00000000000000L)
+				{
+				return(bits[(int)(l>>56)]+56);
+				}
+			else	return(bits[(int)(l>>48)]+48);
+			}
+		else
+			{
+			if (l & 0x0000ff0000000000L)
+				{
+				return(bits[(int)(l>>40)]+40);
+				}
+			else	return(bits[(int)(l>>32)]+32);
+			}
+		}
+	else
+#else
+#ifdef SIXTY_FOUR_BIT
+	if (l & 0xffffffff00000000LL)
+		{
+		if (l & 0xffff000000000000LL)
+			{
+			if (l & 0xff00000000000000LL)
+				{
+				return(bits[(int)(l>>56)]+56);
+				}
+			else	return(bits[(int)(l>>48)]+48);
+			}
+		else
+			{
+			if (l & 0x0000ff0000000000LL)
+				{
+				return(bits[(int)(l>>40)]+40);
+				}
+			else	return(bits[(int)(l>>32)]+32);
+			}
+		}
+	else
+#endif
+#endif
+		{
+#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
+		if (l & 0xffff0000L)
+			{
+			if (l & 0xff000000L)
+				return(bits[(int)(l>>24L)]+24);
+			else	return(bits[(int)(l>>16L)]+16);
+			}
+		else
+#endif
+			{
+#if defined(SIXTEEN_BIT) || defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
+			if (l & 0xff00L)
+				return(bits[(int)(l>>8)]+8);
+			else	
+#endif
+				return(bits[(int)(l   )]  );
+			}
+		}
+	}
+
+EXPORT_C int BN_num_bits(const BIGNUM *a)
+	{
+	int i = a->top - 1;
+	bn_check_top(a);
+
+	if (BN_is_zero(a)) return 0;
+	return ((i*BN_BITS2) + BN_num_bits_word(a->d[i]));
+	}
+
+EXPORT_C void BN_clear_free(BIGNUM *a)
+	{
+	int i;
+
+	if (a == NULL) return;
+	bn_check_top(a);
+	if (a->d != NULL)
+		{
+		OPENSSL_cleanse(a->d,a->dmax*sizeof(a->d[0]));
+		if (!(BN_get_flags(a,BN_FLG_STATIC_DATA)))
+			OPENSSL_free(a->d);
+		}
+	i=BN_get_flags(a,BN_FLG_MALLOCED);
+	OPENSSL_cleanse(a,sizeof(BIGNUM));
+	if (i)
+		OPENSSL_free(a);
+	}
+
+EXPORT_C void BN_free(BIGNUM *a)
+	{
+	if (a == NULL) return;
+	bn_check_top(a);
+	if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA)))
+		OPENSSL_free(a->d);
+	if (a->flags & BN_FLG_MALLOCED)
+		OPENSSL_free(a);
+	else
+		{
+#ifndef OPENSSL_NO_DEPRECATED
+		a->flags|=BN_FLG_FREE;
+#endif
+		a->d = NULL;
+		}
+	}
+
+EXPORT_C void BN_init(BIGNUM *a)
+	{
+	memset(a,0,sizeof(BIGNUM));
+	bn_check_top(a);
+	}
+
+EXPORT_C BIGNUM *BN_new(void)
+	{
+	BIGNUM *ret;
+
+	if ((ret=(BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL)
+		{
+		BNerr(BN_F_BN_NEW,ERR_R_MALLOC_FAILURE);
+		return(NULL);
+		}
+	ret->flags=BN_FLG_MALLOCED;
+	ret->top=0;
+	ret->neg=0;
+	ret->dmax=0;
+	ret->d=NULL;
+	bn_check_top(ret);
+	return(ret);
+	}
+
+/* This is used both by bn_expand2() and bn_dup_expand() */
+/* The caller MUST check that words > b->dmax before calling this */
+static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
+	{
+	BN_ULONG *A,*a = NULL;
+	const BN_ULONG *B;
+	int i;
+
+	bn_check_top(b);
+
+	if (words > (INT_MAX/(4*BN_BITS2)))
+		{
+		BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_BIGNUM_TOO_LONG);
+		return NULL;
+		}
+	if (BN_get_flags(b,BN_FLG_STATIC_DATA))
+		{
+		BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
+		return(NULL);
+		}
+	a=A=(BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG)*words);
+	if (A == NULL)
+		{
+		BNerr(BN_F_BN_EXPAND_INTERNAL,ERR_R_MALLOC_FAILURE);
+		return(NULL);
+		}
+#if 1
+	B=b->d;
+	/* Check if the previous number needs to be copied */
+	if (B != NULL)
+		{
+		for (i=b->top>>2; i>0; i--,A+=4,B+=4)
+			{
+			/*
+			 * The fact that the loop is unrolled
+			 * 4-wise is a tribute to Intel. It's
+			 * the one that doesn't have enough
+			 * registers to accomodate more data.
+			 * I'd unroll it 8-wise otherwise:-)
+			 *
+			 *		<appro@fy.chalmers.se>
+			 */
+			BN_ULONG a0,a1,a2,a3;
+			a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
+			A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
+			}
+		switch (b->top&3)
+			{
+		case 3:	A[2]=B[2];
+		case 2:	A[1]=B[1];
+		case 1:	A[0]=B[0];
+		case 0: /* workaround for ultrix cc: without 'case 0', the optimizer does
+		         * the switch table by doing a=top&3; a--; goto jump_table[a];
+		         * which fails for top== 0 */
+			;
+			}
+		}
+
+#else
+	memset(A,0,sizeof(BN_ULONG)*words);
+	memcpy(A,b->d,sizeof(b->d[0])*b->top);
+#endif
+		
+	return(a);
+	}
+
+/* This is an internal function that can be used instead of bn_expand2()
+ * when there is a need to copy BIGNUMs instead of only expanding the
+ * data part, while still expanding them.
+ * Especially useful when needing to expand BIGNUMs that are declared
+ * 'const' and should therefore not be changed.
+ * The reason to use this instead of a BN_dup() followed by a bn_expand2()
+ * is memory allocation overhead.  A BN_dup() followed by a bn_expand2()
+ * will allocate new memory for the BIGNUM data twice, and free it once,
+ * while bn_dup_expand() makes sure allocation is made only once.
+ */
+
+#ifndef OPENSSL_NO_DEPRECATED
+EXPORT_C BIGNUM *bn_dup_expand(const BIGNUM *b, int words)
+	{
+	BIGNUM *r = NULL;
+
+	bn_check_top(b);
+
+	/* This function does not work if
+	 *      words <= b->dmax && top < words
+	 * because BN_dup() does not preserve 'dmax'!
+	 * (But bn_dup_expand() is not used anywhere yet.)
+	 */
+
+	if (words > b->dmax)
+		{
+		BN_ULONG *a = bn_expand_internal(b, words);
+
+		if (a)
+			{
+			r = BN_new();
+			if (r)
+				{
+				r->top = b->top;
+				r->dmax = words;
+				r->neg = b->neg;
+				r->d = a;
+				}
+			else
+				{
+				/* r == NULL, BN_new failure */
+				OPENSSL_free(a);
+				}
+			}
+		/* If a == NULL, there was an error in allocation in
+		   bn_expand_internal(), and NULL should be returned */
+		}
+	else
+		{
+		r = BN_dup(b);
+		}
+
+	bn_check_top(r);
+	return r;
+	}
+#endif
+
+/* This is an internal function that should not be used in applications.
+ * It ensures that 'b' has enough room for a 'words' word number
+ * and initialises any unused part of b->d with leading zeros.
+ * It is mostly used by the various BIGNUM routines. If there is an error,
+ * NULL is returned. If not, 'b' is returned. */
+
+EXPORT_C BIGNUM *bn_expand2(BIGNUM *b, int words)
+	{
+	bn_check_top(b);
+
+	if (words > b->dmax)
+		{
+		BN_ULONG *a = bn_expand_internal(b, words);
+		if(!a) return NULL;
+		if(b->d) OPENSSL_free(b->d);
+		b->d=a;
+		b->dmax=words;
+		}
+
+/* None of this should be necessary because of what b->top means! */
+#if 0
+	/* NB: bn_wexpand() calls this only if the BIGNUM really has to grow */
+	if (b->top < b->dmax)
+		{
+		int i;
+		BN_ULONG *A = &(b->d[b->top]);
+		for (i=(b->dmax - b->top)>>3; i>0; i--,A+=8)
+			{
+			A[0]=0; A[1]=0; A[2]=0; A[3]=0;
+			A[4]=0; A[5]=0; A[6]=0; A[7]=0;
+			}
+		for (i=(b->dmax - b->top)&7; i>0; i--,A++)
+			A[0]=0;
+		assert(A == &(b->d[b->dmax]));
+		}
+#endif
+	bn_check_top(b);
+	return b;
+	}
+
+EXPORT_C BIGNUM *BN_dup(const BIGNUM *a)
+	{
+	BIGNUM *t;
+
+	if (a == NULL) return NULL;
+	bn_check_top(a);
+
+	t = BN_new();
+	if (t == NULL) return NULL;
+	if(!BN_copy(t, a))
+		{
+		BN_free(t);
+		return NULL;
+		}
+	bn_check_top(t);
+	return t;
+	}
+
+EXPORT_C BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
+	{
+	int i;
+	BN_ULONG *A;
+	const BN_ULONG *B;
+
+	bn_check_top(b);
+
+	if (a == b) return(a);
+	if (bn_wexpand(a,b->top) == NULL) return(NULL);
+
+#if 1
+	A=a->d;
+	B=b->d;
+	for (i=b->top>>2; i>0; i--,A+=4,B+=4)
+		{
+		BN_ULONG a0,a1,a2,a3;
+		a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
+		A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
+		}
+	switch (b->top&3)
+		{
+		case 3: A[2]=B[2];
+		case 2: A[1]=B[1];
+		case 1: A[0]=B[0];
+		case 0: ; /* ultrix cc workaround, see comments in bn_expand_internal */
+		}
+#else
+	memcpy(a->d,b->d,sizeof(b->d[0])*b->top);
+#endif
+
+	a->top=b->top;
+	a->neg=b->neg;
+	bn_check_top(a);
+	return(a);
+	}
+
+EXPORT_C void BN_swap(BIGNUM *a, BIGNUM *b)
+	{
+	int flags_old_a, flags_old_b;
+	BN_ULONG *tmp_d;
+	int tmp_top, tmp_dmax, tmp_neg;
+	
+	bn_check_top(a);
+	bn_check_top(b);
+
+	flags_old_a = a->flags;
+	flags_old_b = b->flags;
+
+	tmp_d = a->d;
+	tmp_top = a->top;
+	tmp_dmax = a->dmax;
+	tmp_neg = a->neg;
+	
+	a->d = b->d;
+	a->top = b->top;
+	a->dmax = b->dmax;
+	a->neg = b->neg;
+	
+	b->d = tmp_d;
+	b->top = tmp_top;
+	b->dmax = tmp_dmax;
+	b->neg = tmp_neg;
+	
+	a->flags = (flags_old_a & BN_FLG_MALLOCED) | (flags_old_b & BN_FLG_STATIC_DATA);
+	b->flags = (flags_old_b & BN_FLG_MALLOCED) | (flags_old_a & BN_FLG_STATIC_DATA);
+	bn_check_top(a);
+	bn_check_top(b);
+	}
+
+EXPORT_C void BN_clear(BIGNUM *a)
+	{
+	bn_check_top(a);
+	if (a->d != NULL)
+		memset(a->d,0,a->dmax*sizeof(a->d[0]));
+	a->top=0;
+	a->neg=0;
+	}
+
+EXPORT_C BN_ULONG BN_get_word(const BIGNUM *a)
+	{
+	if (a->top > 1)
+		return BN_MASK2;
+	else if (a->top == 1)
+		return a->d[0];
+	/* a->top == 0 */
+	return 0;
+	}
+
+EXPORT_C int BN_set_word(BIGNUM *a, BN_ULONG w)
+	{
+	bn_check_top(a);
+	if (bn_expand(a,(int)sizeof(BN_ULONG)*8) == NULL) return(0);
+	a->neg = 0;
+	a->d[0] = w;
+	a->top = (w ? 1 : 0);
+	bn_check_top(a);
+	return(1);
+	}
+
+EXPORT_C BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
+	{
+	unsigned int i,m;
+	unsigned int n;
+	BN_ULONG l;
+	BIGNUM  *bn = NULL;
+
+	if (ret == NULL)
+		ret = bn = BN_new();
+	if (ret == NULL) return(NULL);
+	bn_check_top(ret);
+	l=0;
+	n=len;
+	if (n == 0)
+		{
+		ret->top=0;
+		return(ret);
+		}
+	i=((n-1)/BN_BYTES)+1;
+	m=((n-1)%(BN_BYTES));
+	if (bn_wexpand(ret, (int)i) == NULL)
+		{
+		if (bn) BN_free(bn);
+		return NULL;
+		}
+	ret->top=i;
+	ret->neg=0;
+	while (n--)
+		{
+		l=(l<<8L)| *(s++);
+		if (m-- == 0)
+			{
+			ret->d[--i]=l;
+			l=0;
+			m=BN_BYTES-1;
+			}
+		}
+	/* need to call this due to clear byte at top if avoiding
+	 * having the top bit set (-ve number) */
+	bn_correct_top(ret);
+	return(ret);
+	}
+
+/* ignore negative */
+EXPORT_C int BN_bn2bin(const BIGNUM *a, unsigned char *to)
+	{
+	int n,i;
+	BN_ULONG l;
+
+	bn_check_top(a);
+	n=i=BN_num_bytes(a);
+	while (i--)
+		{
+		l=a->d[i/BN_BYTES];
+		*(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff;
+		}
+	return(n);
+	}
+
+EXPORT_C int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
+	{
+	int i;
+	BN_ULONG t1,t2,*ap,*bp;
+
+	bn_check_top(a);
+	bn_check_top(b);
+
+	i=a->top-b->top;
+	if (i != 0) return(i);
+	ap=a->d;
+	bp=b->d;
+	for (i=a->top-1; i>=0; i--)
+		{
+		t1= ap[i];
+		t2= bp[i];
+		if (t1 != t2)
+			return((t1 > t2) ? 1 : -1);
+		}
+	return(0);
+	}
+
+EXPORT_C int BN_cmp(const BIGNUM *a, const BIGNUM *b)
+	{
+	int i;
+	int gt,lt;
+	BN_ULONG t1,t2;
+
+	if ((a == NULL) || (b == NULL))
+		{
+		if (a != NULL)
+			return(-1);
+		else if (b != NULL)
+			return(1);
+		else
+			return(0);
+		}
+
+	bn_check_top(a);
+	bn_check_top(b);
+
+	if (a->neg != b->neg)
+		{
+		if (a->neg)
+			return(-1);
+		else	return(1);
+		}
+	if (a->neg == 0)
+		{ gt=1; lt= -1; }
+	else	{ gt= -1; lt=1; }
+
+	if (a->top > b->top) return(gt);
+	if (a->top < b->top) return(lt);
+	for (i=a->top-1; i>=0; i--)
+		{
+		t1=a->d[i];
+		t2=b->d[i];
+		if (t1 > t2) return(gt);
+		if (t1 < t2) return(lt);
+		}
+	return(0);
+	}
+
+EXPORT_C int BN_set_bit(BIGNUM *a, int n)
+	{
+	int i,j,k;
+
+	if (n < 0)
+		return 0;
+
+	i=n/BN_BITS2;
+	j=n%BN_BITS2;
+	if (a->top <= i)
+		{
+		if (bn_wexpand(a,i+1) == NULL) return(0);
+		for(k=a->top; k<i+1; k++)
+			a->d[k]=0;
+		a->top=i+1;
+		}
+
+	a->d[i]|=(((BN_ULONG)1)<<j);
+	bn_check_top(a);
+	return(1);
+	}
+
+EXPORT_C int BN_clear_bit(BIGNUM *a, int n)
+	{
+	int i,j;
+
+	bn_check_top(a);
+	if (n < 0) return 0;
+
+	i=n/BN_BITS2;
+	j=n%BN_BITS2;
+	if (a->top <= i) return(0);
+
+	a->d[i]&=(~(((BN_ULONG)1)<<j));
+	bn_correct_top(a);
+	return(1);
+	}
+
+EXPORT_C int BN_is_bit_set(const BIGNUM *a, int n)
+	{
+	int i,j;
+
+	bn_check_top(a);
+	if (n < 0) return 0;
+	i=n/BN_BITS2;
+	j=n%BN_BITS2;
+	if (a->top <= i) return 0;
+	return(((a->d[i])>>j)&((BN_ULONG)1));
+	}
+
+EXPORT_C int BN_mask_bits(BIGNUM *a, int n)
+	{
+	int b,w;
+
+	bn_check_top(a);
+	if (n < 0) return 0;
+
+	w=n/BN_BITS2;
+	b=n%BN_BITS2;
+	if (w >= a->top) return 0;
+	if (b == 0)
+		a->top=w;
+	else
+		{
+		a->top=w+1;
+		a->d[w]&= ~(BN_MASK2<<b);
+		}
+	bn_correct_top(a);
+	return(1);
+	}
+
+EXPORT_C void BN_set_negative(BIGNUM *a, int b)
+	{
+	if (b && !BN_is_zero(a))
+		a->neg = 1;
+	else
+		a->neg = 0;
+	}
+
+EXPORT_C int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
+	{
+	int i;
+	BN_ULONG aa,bb;
+
+	aa=a[n-1];
+	bb=b[n-1];
+	if (aa != bb) return((aa > bb)?1:-1);
+	for (i=n-2; i>=0; i--)
+		{
+		aa=a[i];
+		bb=b[i];
+		if (aa != bb) return((aa > bb)?1:-1);
+		}
+	return(0);
+	}
+
+/* Here follows a specialised variants of bn_cmp_words().  It has the
+   property of performing the operation on arrays of different sizes.
+   The sizes of those arrays is expressed through cl, which is the
+   common length ( basicall, min(len(a),len(b)) ), and dl, which is the
+   delta between the two lengths, calculated as len(a)-len(b).
+   All lengths are the number of BN_ULONGs...  */
+
+EXPORT_C int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b,
+	int cl, int dl)
+	{
+	int n,i;
+	n = cl-1;
+
+	if (dl < 0)
+		{
+		for (i=dl; i<0; i++)
+			{
+			if (b[n-i] != 0)
+				return -1; /* a < b */
+			}
+		}
+	if (dl > 0)
+		{
+		for (i=dl; i>0; i--)
+			{
+			if (a[n+i] != 0)
+				return 1; /* a > b */
+			}
+		}
+	return bn_cmp_words(a,b,cl);
+	}