bn_lib.c

/* 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.]
 */

#include <stdio.h>
#include "cryptlib.h"
#include "bn_lcl.h"

char *BN_version="Big Number" OPENSSL_VERSION_PTEXT;

/* 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
 */
int bn_limit_bits=0;
int bn_limit_num=8;        /* (1<<bn_limit_bits) */
int bn_limit_bits_low=0;
int bn_limit_num_low=8;    /* (1<<bn_limit_bits_low) */
int bn_limit_bits_high=0;
int bn_limit_num_high=8;   /* (1<<bn_limit_bits_high) */
int bn_limit_bits_mont=0;
int bn_limit_num_mont=8;   /* (1<<bn_limit_bits_mont) */

void BN_set_params(mult,high,low,mont)
int mult,high,low,mont;
	{
	if (mult >= 0)
		{
		if (mult > (sizeof(int)*8)-1)
			mult=sizeof(int)*8-1;
		bn_limit_bits=mult;
		bn_limit_num=1<<mult;
		}
	if (high >= 0)
		{
		if (high > (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 > (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 > (sizeof(int)*8)-1)
			mont=sizeof(int)*8-1;
		bn_limit_bits_mont=mont;
		bn_limit_num_mont=1<<mont;
		}
	}

int BN_get_params(which)
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);
	}

BIGNUM *BN_value_one()
	{
	static BN_ULONG data_one=1L;
	static BIGNUM const_one={&data_one,1,1,0};

	return(&const_one);
	}

char *BN_options()
	{
	static int init=0;
	static char data[16];

	if (!init)
		{
		init++;
#ifdef BN_LLONG
		sprintf(data,"bn(%d,%d)",(int)sizeof(BN_ULLONG)*8,
			(int)sizeof(BN_ULONG)*8);
#else
		sprintf(data,"bn(%d,%d)",(int)sizeof(BN_ULONG)*8,
			(int)sizeof(BN_ULONG)*8);
#endif
		}
	return(data);
	}

int BN_num_bits_word(l)
BN_ULONG l;
	{
	static 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   )]  );
			}
		}
	}

int BN_num_bits(a)
BIGNUM *a;
	{
	BN_ULONG l;
	int i;

	bn_check_top(a);

	if (a->top == 0) return(0);
	l=a->d[a->top-1];
	i=(a->top-1)*BN_BITS2;
	if (l == 0)
		{
#if !defined(NO_STDIO) && !defined(WIN16)
		fprintf(stderr,"BAD TOP VALUE\n");
#endif
		abort();
		}
	return(i+BN_num_bits_word(l));
	}

void BN_clear_free(a)
BIGNUM *a;
	{
	int i;

	if (a == NULL) return;
	if (a->d != NULL)
		{
		memset(a->d,0,a->max*sizeof(a->d[0]));
		if (!(BN_get_flags(a,BN_FLG_STATIC_DATA)))
			Free(a->d);
		}
	i=BN_get_flags(a,BN_FLG_MALLOCED);
	memset(a,0,sizeof(BIGNUM));
	if (i)
		Free(a);
	}

void BN_free(a)
BIGNUM *a;
	{
	if (a == NULL) return;
	if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA)))
		Free(a->d);
	a->flags|=BN_FLG_FREE; /* REMOVE? */
	if (a->flags & BN_FLG_MALLOCED)
		Free(a);
	}

void BN_init(a)
BIGNUM *a;
	{
	memset(a,0,sizeof(BIGNUM));
	}

BIGNUM *BN_new()
	{
	BIGNUM *ret;

	if ((ret=(BIGNUM *)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->max=0;
	ret->d=NULL;
	return(ret);
	}


BN_CTX *BN_CTX_new()
	{
	BN_CTX *ret;

	ret=(BN_CTX *)Malloc(sizeof(BN_CTX));
	if (ret == NULL)
		{
		BNerr(BN_F_BN_CTX_NEW,ERR_R_MALLOC_FAILURE);
		return(NULL);
		}

	BN_CTX_init(ret);
	ret->flags=BN_FLG_MALLOCED;
	return(ret);
	}

void BN_CTX_init(ctx)
BN_CTX *ctx;
	{
	memset(ctx,0,sizeof(BN_CTX));
	ctx->tos=0;
	ctx->flags=0;
	}

void BN_CTX_free(c)
BN_CTX *c;
	{
	int i;

	if(c == NULL)
	    return;

	for (i=0; i<BN_CTX_NUM; i++)
		BN_clear_free(&(c->bn[i]));
	if (c->flags & BN_FLG_MALLOCED)
		Free(c);
	}

BIGNUM *bn_expand2(b, words)
BIGNUM *b;
int words;
	{
	BN_ULONG *A,*B,*a;
	int i,j;

	bn_check_top(b);

	if (words > b->max)
		{
		bn_check_top(b);	
		if (BN_get_flags(b,BN_FLG_STATIC_DATA))
			{
			BNerr(BN_F_BN_EXPAND2,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
			return(NULL);
			}
		a=A=(BN_ULONG *)Malloc(sizeof(BN_ULONG)*(words+1));
		if (A == NULL)
			{
			BNerr(BN_F_BN_EXPAND2,ERR_R_MALLOC_FAILURE);
			return(NULL);
			}
memset(A,0x5c,sizeof(BN_ULONG)*(words+1));
#if 1
		B=b->d;
		if (B != NULL)
			{
			for (i=b->top&(~7); i>0; i-=8)
				{
				A[0]=B[0]; A[1]=B[1]; A[2]=B[2]; A[3]=B[3];
				A[4]=B[4]; A[5]=B[5]; A[6]=B[6]; A[7]=B[7];
				A+=8;
				B+=8;
				}
			switch (b->top&7)
				{
			case 7:
				A[6]=B[6];
			case 6:
				A[5]=B[5];
			case 5:
				A[4]=B[4];
			case 4:
				A[3]=B[3];
			case 3:
				A[2]=B[2];
			case 2:
				A[1]=B[1];
			case 1:
				A[0]=B[0];
			case 0:
				/* I need the 'case 0' entry for utrix cc.
				 * If the optimiser is turned on, it does the
				 * switch table by doing
				 * a=top&7
				 * a--;
				 * goto jump_table[a];
				 * If top is 0, this makes us jump to 0xffffffc 
				 * which is rather bad :-(.
				 * eric 23-Apr-1998
				 */
				;
				}
			B= &(b->d[b->top]);
			j=b->max-8;
			for (i=b->top; i<j; i+=8)
				{
				B[0]=0; B[1]=0; B[2]=0; B[3]=0;
				B[4]=0; B[5]=0; B[6]=0; B[7]=0;
				B+=8;
				}
			for (j+=8; i<j; i++)
				{
				B[0]=0;
				B++;
				}
#else
			memcpy(a->d,b->d,sizeof(b->d[0])*b->top);
#endif
		
/*		memset(&(p[b->max]),0,((words+1)-b->max)*sizeof(BN_ULONG)); */
/*	{ int i; for (i=b->max; i<words+1; i++) p[i]=i;} */
			Free(b->d);
			}

		b->d=a;
		b->max=words;
		}
	return(b);
	}

BIGNUM *BN_dup(a)
BIGNUM *a;
	{
	BIGNUM *r;

	bn_check_top(a);

	r=BN_new();
	if (r == NULL) return(NULL);
	return((BIGNUM *)BN_copy(r,a));
	}

BIGNUM *BN_copy(a, b)
BIGNUM *a;
BIGNUM *b;
	{
	int i;
	BN_ULONG *A,*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&(~7); i>0; i-=8)
		{
		A[0]=B[0];
		A[1]=B[1];
		A[2]=B[2];
		A[3]=B[3];
		A[4]=B[4];
		A[5]=B[5];
		A[6]=B[6];
		A[7]=B[7];
		A+=8;
		B+=8;
		}
	switch (b->top&7)
		{
	case 7:
		A[6]=B[6];
	case 6:
		A[5]=B[5];
	case 5:
		A[4]=B[4];
	case 4:
		A[3]=B[3];
	case 3:
		A[2]=B[2];
	case 2:
		A[1]=B[1];
	case 1:
		A[0]=B[0];
        case 0:
		/* I need the 'case 0' entry for utrix cc.
		 * If the optimiser is turned on, it does the
		 * switch table by doing
		 * a=top&7
		 * a--;
		 * goto jump_table[a];
		 * If top is 0, this makes us jump to 0xffffffc which is
		 * rather bad :-(.
		 * eric 23-Apr-1998
		 */
		;
		}
#else
	memcpy(a->d,b->d,sizeof(b->d[0])*b->top);
#endif

/*	memset(&(a->d[b->top]),0,sizeof(a->d[0])*(a->max-b->top));*/
	a->top=b->top;
	if ((a->top == 0) && (a->d != NULL))
		a->d[0]=0;
	a->neg=b->neg;
	return(a);
	}

void BN_clear(a)
BIGNUM *a;
	{
	if (a->d != NULL)
		memset(a->d,0,a->max*sizeof(a->d[0]));
	a->top=0;
	a->neg=0;
	}

BN_ULONG BN_get_word(a)
BIGNUM *a;
	{
	int i,n;
	BN_ULONG ret=0;

	n=BN_num_bytes(a);
	if (n > sizeof(BN_ULONG))
		return(BN_MASK2);
	for (i=a->top-1; i>=0; i--)
		{
#ifndef SIXTY_FOUR_BIT /* the data item > unsigned long */
		ret<<=BN_BITS4; /* stops the compiler complaining */
		ret<<=BN_BITS4;
#endif
		ret|=a->d[i];
		}
	return(ret);
	}

int BN_set_word(a,w)
BIGNUM *a;
BN_ULONG w;
	{
	int i,n;
	if (bn_expand(a,sizeof(BN_ULONG)*8) == NULL) return(0);

	n=sizeof(BN_ULONG)/BN_BYTES;
	a->neg=0;
	a->top=0;
	a->d[0]=(BN_ULONG)w&BN_MASK2;
	if (a->d[0] != 0) a->top=1;
	for (i=1; i<n; i++)
		{
		/* the following is done instead of
		 * w>>=BN_BITS2 so compilers don't complain
		 * on builds where sizeof(long) == BN_TYPES */
#ifndef SIXTY_FOUR_BIT /* the data item > unsigned long */
		w>>=BN_BITS4;
		w>>=BN_BITS4;
#endif
		a->d[i]=(BN_ULONG)w&BN_MASK2;
		if (a->d[i] != 0) a->top=i+1;
		}
	return(1);
	}

/* ignore negative */
BIGNUM *BN_bin2bn(s, len, ret)
unsigned char *s;
int len;
BIGNUM *ret;
	{
	unsigned int i,m;
	unsigned int n;
	BN_ULONG l;

	if (ret == NULL) ret=BN_new();
	if (ret == NULL) return(NULL);
	l=0;
	n=len;
	if (n == 0)
		{
		ret->top=0;
		return(ret);
		}
	if (bn_expand(ret,(int)(n+2)*8) == NULL)
		return(NULL);
	i=((n-1)/BN_BYTES)+1;
	m=((n-1)%(BN_BYTES));
	ret->top=i;
	while (n-- > 0)
		{
		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_fix_top(ret);
	return(ret);
	}

/* ignore negative */
int BN_bn2bin(a, to)
BIGNUM *a;
unsigned char *to;
	{
	int n,i;
	BN_ULONG l;

	n=i=BN_num_bytes(a);
	while (i-- > 0)
		{
		l=a->d[i/BN_BYTES];
		*(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff;
		}
	return(n);
	}

int BN_ucmp(a, b)
BIGNUM *a;
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);
	}

int BN_cmp(a, b)
BIGNUM *a;
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);
	}

int BN_set_bit(a, n)
BIGNUM *a;
int n;
	{
	int i,j,k;

	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]|=(1L<<j);
	return(1);
	}

int BN_clear_bit(a, n)
BIGNUM *a;
int n;
	{
	int i,j;

	i=n/BN_BITS2;
	j=n%BN_BITS2;
	if (a->top <= i) return(0);

	a->d[i]&=(~(1L<<j));
	bn_fix_top(a);
	return(1);
	}

int BN_is_bit_set(a, n)
BIGNUM *a;
int n;
	{
	int i,j;

	if (n < 0) return(0);
	i=n/BN_BITS2;
	j=n%BN_BITS2;
	if (a->top <= i) return(0);
	return((a->d[i]&(((BN_ULONG)1)<<j))?1:0);
	}

int BN_mask_bits(a,n)
BIGNUM *a;
int n;
	{
	int b,w;

	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_fix_top(a);
	return(1);
	}

int bn_cmp_words(a,b,n)
BN_ULONG *a,*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);
	}