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📄 bn_add.c

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/* crypto/bn/bn_add.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"/* r can == a or b */int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)	{	const BIGNUM *tmp;	int a_neg = a->neg, ret;	bn_check_top(a);	bn_check_top(b);	/*  a +  b	a+b	 *  a + -b	a-b	 * -a +  b	b-a	 * -a + -b	-(a+b)	 */	if (a_neg ^ b->neg)		{		/* only one is negative */		if (a_neg)			{ tmp=a; a=b; b=tmp; }		/* we are now a - b */		if (BN_ucmp(a,b) < 0)			{			if (!BN_usub(r,b,a)) return(0);			r->neg=1;			}		else			{			if (!BN_usub(r,a,b)) return(0);			r->neg=0;			}		return(1);		}	ret = BN_uadd(r,a,b);	r->neg = a_neg;	bn_check_top(r);	return ret;	}/* unsigned add of b to a */int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)	{	int max,min,dif;	BN_ULONG *ap,*bp,*rp,carry,t1,t2;	const BIGNUM *tmp;	bn_check_top(a);	bn_check_top(b);	if (a->top < b->top)		{ tmp=a; a=b; b=tmp; }	max = a->top;	min = b->top;	dif = max - min;	if (bn_wexpand(r,max+1) == NULL)		return 0;	r->top=max;	ap=a->d;	bp=b->d;	rp=r->d;	carry=bn_add_words(rp,ap,bp,min);	rp+=min;	ap+=min;	bp+=min;	if (carry)		{		while (dif)			{			dif--;			t1 = *(ap++);			t2 = (t1+1) & BN_MASK2;			*(rp++) = t2;			if (t2)				{				carry=0;				break;				}			}		if (carry)			{			/* carry != 0 => dif == 0 */			*rp = 1;			r->top++;			}		}	if (dif && rp != ap)		while (dif--)			/* copy remaining words if ap != rp */			*(rp++) = *(ap++);	r->neg = 0;	bn_check_top(r);	return 1;	}/* unsigned subtraction of b from a, a must be larger than b. */int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)	{	int max,min,dif;	register BN_ULONG t1,t2,*ap,*bp,*rp;	int i,carry;#if defined(IRIX_CC_BUG) && !defined(LINT)	int dummy;#endif	bn_check_top(a);	bn_check_top(b);	max = a->top;	min = b->top;	dif = max - min;	if (dif < 0)	/* hmm... should not be happening */		{		BNerr(BN_F_BN_USUB,BN_R_ARG2_LT_ARG3);		return(0);		}	if (bn_wexpand(r,max) == NULL) return(0);	ap=a->d;	bp=b->d;	rp=r->d;#if 1	carry=0;	for (i = min; i != 0; i--)		{		t1= *(ap++);		t2= *(bp++);		if (carry)			{			carry=(t1 <= t2);			t1=(t1-t2-1)&BN_MASK2;			}		else			{			carry=(t1 < t2);			t1=(t1-t2)&BN_MASK2;			}#if defined(IRIX_CC_BUG) && !defined(LINT)		dummy=t1;#endif		*(rp++)=t1&BN_MASK2;		}#else	carry=bn_sub_words(rp,ap,bp,min);	ap+=min;	bp+=min;	rp+=min;#endif	if (carry) /* subtracted */		{		if (!dif)			/* error: a < b */			return 0;		while (dif)			{			dif--;			t1 = *(ap++);			t2 = (t1-1)&BN_MASK2;			*(rp++) = t2;			if (t1)				break;			}		}#if 0	memcpy(rp,ap,sizeof(*rp)*(max-i));#else	if (rp != ap)		{		for (;;)			{			if (!dif--) break;			rp[0]=ap[0];			if (!dif--) break;			rp[1]=ap[1];			if (!dif--) break;			rp[2]=ap[2];			if (!dif--) break;			rp[3]=ap[3];			rp+=4;			ap+=4;			}		}#endif	r->top=max;	r->neg=0;	bn_correct_top(r);	return(1);	}int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)	{	int max;	int add=0,neg=0;	const BIGNUM *tmp;	bn_check_top(a);	bn_check_top(b);	/*  a -  b	a-b	 *  a - -b	a+b	 * -a -  b	-(a+b)	 * -a - -b	b-a	 */	if (a->neg)		{		if (b->neg)			{ tmp=a; a=b; b=tmp; }		else			{ add=1; neg=1; }		}	else		{		if (b->neg) { add=1; neg=0; }		}	if (add)		{		if (!BN_uadd(r,a,b)) return(0);		r->neg=neg;		return(1);		}	/* We are actually doing a - b :-) */	max=(a->top > b->top)?a->top:b->top;	if (bn_wexpand(r,max) == NULL) return(0);	if (BN_ucmp(a,b) < 0)		{		if (!BN_usub(r,b,a)) return(0);		r->neg=1;		}	else		{		if (!BN_usub(r,a,b)) return(0);		r->neg=0;		}	bn_check_top(r);	return(1);	}

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