[thirdparty/openssl.git] / crypto / bn / bn_lcl.h

/* crypto/bn/bn_lcl.h */
/* 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.]
 */
/* ====================================================================
 * Copyright (c) 1998-2000 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).
 *
 */

#ifndef HEADER_BN_LCL_H
#define HEADER_BN_LCL_H

#include <openssl/bn.h>

#ifdef  __cplusplus
extern "C" {
#endif


/*
 * BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions
 *
 *
 * For window size 'w' (w >= 2) and a random 'b' bits exponent,
 * the number of multiplications is a constant plus on average
 *
 *    2^(w-1) + (b-w)/(w+1);
 *
 * here  2^(w-1)  is for precomputing the table (we actually need
 * entries only for windows that have the lowest bit set), and
 * (b-w)/(w+1)  is an approximation for the expected number of
 * w-bit windows, not counting the first one.
 *
 * Thus we should use
 *
 *    w >= 6  if        b > 671
 *     w = 5  if  671 > b > 239
 *     w = 4  if  239 > b >  79
 *     w = 3  if   79 > b >  23
 *    w <= 2  if   23 > b
 *
 * (with draws in between).  Very small exponents are often selected
 * with low Hamming weight, so we use  w = 1  for b <= 23.
 */
#if 1
#define BN_window_bits_for_exponent_size(b) \
		((b) > 671 ? 6 : \
		 (b) > 239 ? 5 : \
		 (b) >  79 ? 4 : \
		 (b) >  23 ? 3 : 1)
#else
/* Old SSLeay/OpenSSL table.
 * Maximum window size was 5, so this table differs for b==1024;
 * but it coincides for other interesting values (b==160, b==512).
 */
#define BN_window_bits_for_exponent_size(b) \
		((b) > 255 ? 5 : \
		 (b) > 127 ? 4 : \
		 (b) >  17 ? 3 : 1)
#endif	 


/* Pentium pro 16,16,16,32,64 */
/* Alpha       16,16,16,16.64 */
#define BN_MULL_SIZE_NORMAL			(16) /* 32 */
#define BN_MUL_RECURSIVE_SIZE_NORMAL		(16) /* 32 less than */
#define BN_SQR_RECURSIVE_SIZE_NORMAL		(16) /* 32 */
#define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL	(32) /* 32 */
#define BN_MONT_CTX_SET_SIZE_WORD		(64) /* 32 */

#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC)
/*
 * BN_UMULT_HIGH section.
 *
 * No, I'm not trying to overwhelm you when stating that the
 * product of N-bit numbers is 2*N bits wide:-) No, I don't expect
 * you to be impressed when I say that if the compiler doesn't
 * support 2*N integer type, then you have to replace every N*N
 * multiplication with 4 (N/2)*(N/2) accompanied by some shifts
 * and additions which unavoidably results in severe performance
 * penalties. Of course provided that the hardware is capable of
 * producing 2*N result... That's when you normally start
 * considering assembler implementation. However! It should be
 * pointed out that some CPUs (most notably Alpha, PowerPC and
 * upcoming IA-64 family:-) provide *separate* instruction
 * calculating the upper half of the product placing the result
 * into a general purpose register. Now *if* the compiler supports
 * inline assembler, then it's not impossible to implement the
 * "bignum" routines (and have the compiler optimize 'em)
 * exhibiting "native" performance in C. That's what BN_UMULT_HIGH
 * macro is about:-)
 *
 *					<appro@fy.chalmers.se>
 */
# if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
#  if defined(__DECC)
#   include <c_asm.h>
#   define BN_UMULT_HIGH(a,b)	(BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b))
#  elif defined(__GNUC__)
#   define BN_UMULT_HIGH(a,b)	({	\
	register BN_ULONG ret;		\
	asm ("umulh	%1,%2,%0"	\
	     : "=r"(ret)		\
	     : "r"(a), "r"(b));		\
	ret;			})
#  endif	/* compiler */
# elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG)
#  if defined(__GNUC__)
#   define BN_UMULT_HIGH(a,b)	({	\
	register BN_ULONG ret;		\
	asm ("mulhdu	%0,%1,%2"	\
	     : "=r"(ret)		\
	     : "r"(a), "r"(b));		\
	ret;			})
#  endif	/* compiler */
# elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG)
#  if defined(__GNUC__)
#   define BN_UMULT_HIGH(a,b)	({	\
	register BN_ULONG ret,discard;	\
	asm ("mulq	%3"		\
	     : "=a"(discard),"=d"(ret)	\
	     : "a"(a), "g"(b)		\
	     : "cc");			\
	ret;			})
#   define BN_UMULT_LOHI(low,high,a,b)	\
	asm ("mulq	%3"		\
		: "=a"(low),"=d"(high)	\
		: "a"(a),"g"(b)		\
		: "cc");
#  endif
# endif		/* cpu */
#endif		/* OPENSSL_NO_ASM */

/*************************************************************
 * Using the long long type
 */
#define Lw(t)    (((BN_ULONG)(t))&BN_MASK2)
#define Hw(t)    (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)


#define bn_clear_top2max(a) \
	{ \
	int      ind = (a)->dmax - (a)->top; \
	BN_ULONG *ftl = &(a)->d[(a)->top-1]; \
	for (; ind != 0; ind--) \
		*(++ftl) = 0x0; \
	}


/* This macro is to add extra stuff for development checking */
#ifdef BN_DEBUG
#define	bn_set_max(r) ((r)->max=(r)->top,BN_set_flags((r),BN_FLG_STATIC_DATA))
#else
#define	bn_set_max(r)
#endif

/* These macros are used to 'take' a section of a bignum for read only use */
#define bn_set_low(r,a,n) \
	{ \
	(r)->top=((a)->top > (n))?(n):(a)->top; \
	(r)->d=(a)->d; \
	(r)->neg=(a)->neg; \
	(r)->flags|=BN_FLG_STATIC_DATA; \
	bn_set_max(r); \
	}

#define bn_set_high(r,a,n) \
	{ \
	if ((a)->top > (n)) \
		{ \
		(r)->top=(a)->top-n; \
		(r)->d= &((a)->d[n]); \
		} \
	else \
		(r)->top=0; \
	(r)->neg=(a)->neg; \
	(r)->flags|=BN_FLG_STATIC_DATA; \
	bn_set_max(r); \
	}

#ifdef BN_LLONG
#define mul_add(r,a,w,c) { \
	BN_ULLONG t; \
	t=(BN_ULLONG)w * (a) + (r) + (c); \
	(r)= Lw(t); \
	(c)= Hw(t); \
	}

#define mul(r,a,w,c) { \
	BN_ULLONG t; \
	t=(BN_ULLONG)w * (a) + (c); \
	(r)= Lw(t); \
	(c)= Hw(t); \
	}

#define sqr(r0,r1,a) { \
	BN_ULLONG t; \
	t=(BN_ULLONG)(a)*(a); \
	(r0)=Lw(t); \
	(r1)=Hw(t); \
	}

#elif defined(BN_UMULT_HIGH)
#define mul_add(r,a,w,c) {		\
	BN_ULONG high,low,ret,tmp=(a);	\
	ret =  (r);			\
	high=  BN_UMULT_HIGH(w,tmp);	\
	ret += (c);			\
	low =  (w) * tmp;		\
	(c) =  (ret<(c))?1:0;		\
	(c) += high;			\
	ret += low;			\
	(c) += (ret<low)?1:0;		\
	(r) =  ret;			\
	}

#define mul(r,a,w,c)	{		\
	BN_ULONG high,low,ret,ta=(a);	\
	low =  (w) * ta;		\
	high=  BN_UMULT_HIGH(w,ta);	\
	ret =  low + (c);		\
	(c) =  high;			\
	(c) += (ret<low)?1:0;		\
	(r) =  ret;			\
	}

#define sqr(r0,r1,a)	{		\
	BN_ULONG tmp=(a);		\
	(r0) = tmp * tmp;		\
	(r1) = BN_UMULT_HIGH(tmp,tmp);	\
	}

#else
/*************************************************************
 * No long long type
 */

#define LBITS(a)	((a)&BN_MASK2l)
#define HBITS(a)	(((a)>>BN_BITS4)&BN_MASK2l)
#define	L2HBITS(a)	(((a)<<BN_BITS4)&BN_MASK2)

#define LLBITS(a)	((a)&BN_MASKl)
#define LHBITS(a)	(((a)>>BN_BITS2)&BN_MASKl)
#define	LL2HBITS(a)	((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2)

#define mul64(l,h,bl,bh) \
	{ \
	BN_ULONG m,m1,lt,ht; \
 \
	lt=l; \
	ht=h; \
	m =(bh)*(lt); \
	lt=(bl)*(lt); \
	m1=(bl)*(ht); \
	ht =(bh)*(ht); \
	m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \
	ht+=HBITS(m); \
	m1=L2HBITS(m); \
	lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \
	(l)=lt; \
	(h)=ht; \
	}

#define sqr64(lo,ho,in) \
	{ \
	BN_ULONG l,h,m; \
 \
	h=(in); \
	l=LBITS(h); \
	h=HBITS(h); \
	m =(l)*(h); \
	l*=l; \
	h*=h; \
	h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \
	m =(m&BN_MASK2l)<<(BN_BITS4+1); \
	l=(l+m)&BN_MASK2; if (l < m) h++; \
	(lo)=l; \
	(ho)=h; \
	}

#define mul_add(r,a,bl,bh,c) { \
	BN_ULONG l,h; \
 \
	h= (a); \
	l=LBITS(h); \
	h=HBITS(h); \
	mul64(l,h,(bl),(bh)); \
 \
	/* non-multiply part */ \
	l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
	(c)=(r); \
	l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
	(c)=h&BN_MASK2; \
	(r)=l; \
	}

#define mul(r,a,bl,bh,c) { \
	BN_ULONG l,h; \
 \
	h= (a); \
	l=LBITS(h); \
	h=HBITS(h); \
	mul64(l,h,(bl),(bh)); \
 \
	/* non-multiply part */ \
	l+=(c); if ((l&BN_MASK2) < (c)) h++; \
	(c)=h&BN_MASK2; \
	(r)=l&BN_MASK2; \
	}
#endif /* !BN_LLONG */

void bn_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb);
void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp);
void bn_sqr_comba8(BN_ULONG *r,const BN_ULONG *a);
void bn_sqr_comba4(BN_ULONG *r,const BN_ULONG *a);
int bn_cmp_words(const BN_ULONG *a,const BN_ULONG *b,int n);
int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b,
	int cl, int dl);
void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,
	int dna,int dnb,BN_ULONG *t);
void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,
	int n,int tna,int tnb,BN_ULONG *t);
void bn_sqr_recursive(BN_ULONG *r,const BN_ULONG *a, int n2, BN_ULONG *t);
void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n);
void bn_mul_low_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,
	BN_ULONG *t);
void bn_mul_high(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,BN_ULONG *l,int n2,
	BN_ULONG *t);
BN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
	int cl, int dl);
BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
	int cl, int dl);

#ifdef  __cplusplus
}
#endif

#endif
Commit	Line	Data
d02b48c6	1	/* crypto/bn/bn_lcl.h */
58964a49	2	/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
d02b48c6 RE	3	* All rights reserved.
	4	*
	5	* This package is an SSL implementation written
	6	* by Eric Young (eay@cryptsoft.com).
	7	* The implementation was written so as to conform with Netscapes SSL.
	8	*
	9	* This library is free for commercial and non-commercial use as long as
	10	* the following conditions are aheared to. The following conditions
	11	* apply to all code found in this distribution, be it the RC4, RSA,
	12	* lhash, DES, etc., code; not just the SSL code. The SSL documentation
	13	* included with this distribution is covered by the same copyright terms
	14	* except that the holder is Tim Hudson (tjh@cryptsoft.com).
	15	*
	16	* Copyright remains Eric Young's, and as such any Copyright notices in
	17	* the code are not to be removed.
	18	* If this package is used in a product, Eric Young should be given attribution
	19	* as the author of the parts of the library used.
	20	* This can be in the form of a textual message at program startup or
	21	* in documentation (online or textual) provided with the package.
	22	*
	23	* Redistribution and use in source and binary forms, with or without
	24	* modification, are permitted provided that the following conditions
	25	* are met:
	26	* 1. Redistributions of source code must retain the copyright
	27	* notice, this list of conditions and the following disclaimer.
	28	* 2. Redistributions in binary form must reproduce the above copyright
	29	* notice, this list of conditions and the following disclaimer in the
	30	* documentation and/or other materials provided with the distribution.
	31	* 3. All advertising materials mentioning features or use of this software
	32	* must display the following acknowledgement:
	33	* "This product includes cryptographic software written by
	34	* Eric Young (eay@cryptsoft.com)"
	35	* The word 'cryptographic' can be left out if the rouines from the library
	36	* being used are not cryptographic related :-).
	37	* 4. If you include any Windows specific code (or a derivative thereof) from
	38	* the apps directory (application code) you must include an acknowledgement:
	39	* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
	40	*
	41	* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
	42	* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
	43	* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
	44	* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
	45	* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
	46	* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
	47	* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
	48	* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
	49	* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
	50	* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
	51	* SUCH DAMAGE.
	52	*
	53	* The licence and distribution terms for any publically available version or
	54	* derivative of this code cannot be changed. i.e. this code cannot simply be
	55	* copied and put under another distribution licence
	56	* [including the GNU Public Licence.]
	57	*/
dc434bbc BM	58	/* ====================================================================
	59	* Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
	60	*
	61	* Redistribution and use in source and binary forms, with or without
	62	* modification, are permitted provided that the following conditions
	63	* are met:
	64	*
	65	* 1. Redistributions of source code must retain the above copyright
	66	* notice, this list of conditions and the following disclaimer.
	67	*
	68	* 2. Redistributions in binary form must reproduce the above copyright
	69	* notice, this list of conditions and the following disclaimer in
	70	* the documentation and/or other materials provided with the
	71	* distribution.
	72	*
	73	* 3. All advertising materials mentioning features or use of this
	74	* software must display the following acknowledgment:
	75	* "This product includes software developed by the OpenSSL Project
	76	* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
	77	*
	78	* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
	79	* endorse or promote products derived from this software without
	80	* prior written permission. For written permission, please contact
	81	* openssl-core@openssl.org.
	82	*
	83	* 5. Products derived from this software may not be called "OpenSSL"
	84	* nor may "OpenSSL" appear in their names without prior written
	85	* permission of the OpenSSL Project.
	86	*
	87	* 6. Redistributions of any form whatsoever must retain the following
	88	* acknowledgment:
	89	* "This product includes software developed by the OpenSSL Project
	90	* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
	91	*
	92	* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
	93	* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
	94	* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
	95	* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
	96	* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
	97	* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
	98	* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
	99	* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
	100	* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
	101	* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
	102	* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
	103	* OF THE POSSIBILITY OF SUCH DAMAGE.
	104	* ====================================================================
	105	*
	106	* This product includes cryptographic software written by Eric Young
	107	* (eay@cryptsoft.com). This product includes software written by Tim
	108	* Hudson (tjh@cryptsoft.com).
	109	*
	110	*/
d02b48c6 RE	111
	112	#ifndef HEADER_BN_LCL_H
	113	#define HEADER_BN_LCL_H
	114
ec577822	115	#include <openssl/bn.h>
d02b48c6 RE	116
	117	#ifdef __cplusplus
	118	extern "C" {
	119	#endif
	120
dc434bbc BM	121
	122	/*
	123	* BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions
	124	*
	125	*
	126	* For window size 'w' (w >= 2) and a random 'b' bits exponent,
	127	* the number of multiplications is a constant plus on average
	128	*
	129	* 2^(w-1) + (b-w)/(w+1);
	130	*
	131	* here 2^(w-1) is for precomputing the table (we actually need
	132	* entries only for windows that have the lowest bit set), and
	133	* (b-w)/(w+1) is an approximation for the expected number of
	134	* w-bit windows, not counting the first one.
	135	*
	136	* Thus we should use
	137	*
	138	* w >= 6 if b > 671
	139	* w = 5 if 671 > b > 239
	140	* w = 4 if 239 > b > 79
	141	* w = 3 if 79 > b > 23
	142	* w <= 2 if 23 > b
	143	*
	144	* (with draws in between). Very small exponents are often selected
	145	* with low Hamming weight, so we use w = 1 for b <= 23.
	146	*/
	147	#if 1
	148	#define BN_window_bits_for_exponent_size(b) \
	149	((b) > 671 ? 6 : \
	150	(b) > 239 ? 5 : \
	151	(b) > 79 ? 4 : \
	152	(b) > 23 ? 3 : 1)
	153	#else
	154	/* Old SSLeay/OpenSSL table.
	155	* Maximum window size was 5, so this table differs for b==1024;
	156	* but it coincides for other interesting values (b==160, b==512).
	157	*/
	158	#define BN_window_bits_for_exponent_size(b) \
	159	((b) > 255 ? 5 : \
	160	(b) > 127 ? 4 : \
	161	(b) > 17 ? 3 : 1)
	162	#endif
	163
	164
	165
dfeab068 RE	166	/* Pentium pro 16,16,16,32,64 */
dfeab068 RE	167	/* Alpha 16,16,16,16.64 */
27eb622b DSH	168	#define BN_MULL_SIZE_NORMAL (16) /* 32 */
	169	#define BN_MUL_RECURSIVE_SIZE_NORMAL (16) /* 32 less than */
	170	#define BN_SQR_RECURSIVE_SIZE_NORMAL (16) /* 32 */
	171	#define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32) /* 32 */
	172	#define BN_MONT_CTX_SET_SIZE_WORD (64) /* 32 */
dfeab068	173
cf1b7d96	174	#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC)
fb81ac5e AP	175	/*
	176	* BN_UMULT_HIGH section.
	177	*
	178	* No, I'm not trying to overwhelm you when stating that the
	179	* product of N-bit numbers is 2*N bits wide:-) No, I don't expect
	180	* you to be impressed when I say that if the compiler doesn't
	181	* support 2N integer type, then you have to replace every NN
	182	* multiplication with 4 (N/2)*(N/2) accompanied by some shifts
	183	* and additions which unavoidably results in severe performance
	184	* penalties. Of course provided that the hardware is capable of
	185	* producing 2*N result... That's when you normally start
	186	* considering assembler implementation. However! It should be
	187	* pointed out that some CPUs (most notably Alpha, PowerPC and
	188	* upcoming IA-64 family:-) provide separate instruction
	189	* calculating the upper half of the product placing the result
	190	* into a general purpose register. Now if the compiler supports
	191	* inline assembler, then it's not impossible to implement the
	192	* "bignum" routines (and have the compiler optimize 'em)
	193	* exhibiting "native" performance in C. That's what BN_UMULT_HIGH
	194	* macro is about:-)
	195	*
	196	* <appro@fy.chalmers.se>
	197	*/
	198	# if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) \|\| defined(SIXTY_FOUR_BIT))
	199	# if defined(__DECC)
	200	# include <c_asm.h>
	201	# define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b))
	202	# elif defined(__GNUC__)
	203	# define BN_UMULT_HIGH(a,b) ({ \
	204	register BN_ULONG ret; \
	205	asm ("umulh %1,%2,%0" \
	206	: "=r"(ret) \
	207	: "r"(a), "r"(b)); \
	208	ret; })
	209	# endif /* compiler */
	210	# elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG)
	211	# if defined(__GNUC__)
	212	# define BN_UMULT_HIGH(a,b) ({ \
	213	register BN_ULONG ret; \
	214	asm ("mulhdu %0,%1,%2" \
	215	: "=r"(ret) \
	216	: "r"(a), "r"(b)); \
	217	ret; })
	218	# endif /* compiler */
2f98abbc AP	219	# elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG)
	220	# if defined(__GNUC__)
	221	# define BN_UMULT_HIGH(a,b) ({ \
	222	register BN_ULONG ret,discard; \
	223	asm ("mulq %3" \
	224	: "=a"(discard),"=d"(ret) \
	225	: "a"(a), "g"(b) \
	226	: "cc"); \
	227	ret; })
	228	# define BN_UMULT_LOHI(low,high,a,b) \
	229	asm ("mulq %3" \
	230	: "=a"(low),"=d"(high) \
	231	: "a"(a),"g"(b) \
	232	: "cc");
	233	# endif
fb81ac5e	234	# endif /* cpu */
cf1b7d96	235	#endif /* OPENSSL_NO_ASM */
fb81ac5e	236
d02b48c6 RE	237	/*************************************************************
	238	* Using the long long type
	239	*/
	240	#define Lw(t) (((BN_ULONG)(t))&BN_MASK2)
	241	#define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
	242
19b8d06a BM	243
	244	#define bn_clear_top2max(a) \
	245	{ \
90a617e0	246	int ind = (a)->dmax - (a)->top; \
19b8d06a	247	BN_ULONG *ftl = &(a)->d[(a)->top-1]; \
90a617e0	248	for (; ind != 0; ind--) \
19b8d06a BM	249	*(++ftl) = 0x0; \
	250	}
	251
	252
dfeab068 RE	253	/* This macro is to add extra stuff for development checking */
	254	#ifdef BN_DEBUG
	255	#define bn_set_max(r) ((r)->max=(r)->top,BN_set_flags((r),BN_FLG_STATIC_DATA))
	256	#else
	257	#define bn_set_max(r)
	258	#endif
	259
	260	/* These macros are used to 'take' a section of a bignum for read only use */
	261	#define bn_set_low(r,a,n) \
	262	{ \
	263	(r)->top=((a)->top > (n))?(n):(a)->top; \
	264	(r)->d=(a)->d; \
	265	(r)->neg=(a)->neg; \
	266	(r)->flags\|=BN_FLG_STATIC_DATA; \
	267	bn_set_max(r); \
	268	}
	269
	270	#define bn_set_high(r,a,n) \
	271	{ \
	272	if ((a)->top > (n)) \
	273	{ \
	274	(r)->top=(a)->top-n; \
	275	(r)->d= &((a)->d[n]); \
	276	} \
	277	else \
	278	(r)->top=0; \
	279	(r)->neg=(a)->neg; \
	280	(r)->flags\|=BN_FLG_STATIC_DATA; \
	281	bn_set_max(r); \
d02b48c6 RE	282	}
d02b48c6 RE	283
d02b48c6 RE	284	#ifdef BN_LLONG
	285	#define mul_add(r,a,w,c) { \
	286	BN_ULLONG t; \
	287	t=(BN_ULLONG)w * (a) + (r) + (c); \
58964a49	288	(r)= Lw(t); \
d02b48c6 RE	289	(c)= Hw(t); \
	290	}
	291
	292	#define mul(r,a,w,c) { \
	293	BN_ULLONG t; \
	294	t=(BN_ULLONG)w * (a) + (c); \
58964a49	295	(r)= Lw(t); \
d02b48c6 RE	296	(c)= Hw(t); \
	297	}
	298
fb81ac5e AP	299	#define sqr(r0,r1,a) { \
	300	BN_ULLONG t; \
	301	t=(BN_ULLONG)(a)*(a); \
	302	(r0)=Lw(t); \
aff0825c	303	(r1)=Hw(t); \
fb81ac5e AP	304	}
	305
	306	#elif defined(BN_UMULT_HIGH)
	307	#define mul_add(r,a,w,c) { \
	308	BN_ULONG high,low,ret,tmp=(a); \
	309	ret = (r); \
	310	high= BN_UMULT_HIGH(w,tmp); \
	311	ret += (c); \
	312	low = (w) * tmp; \
	313	(c) = (ret<(c))?1:0; \
	314	(c) += high; \
	315	ret += low; \
	316	(c) += (ret<low)?1:0; \
	317	(r) = ret; \
	318	}
	319
	320	#define mul(r,a,w,c) { \
	321	BN_ULONG high,low,ret,ta=(a); \
	322	low = (w) * ta; \
	323	high= BN_UMULT_HIGH(w,ta); \
	324	ret = low + (c); \
	325	(c) = high; \
	326	(c) += (ret<low)?1:0; \
	327	(r) = ret; \
	328	}
	329
	330	#define sqr(r0,r1,a) { \
	331	BN_ULONG tmp=(a); \
	332	(r0) = tmp * tmp; \
	333	(r1) = BN_UMULT_HIGH(tmp,tmp); \
	334	}
	335
d02b48c6 RE	336	#else
	337	/*************************************************************
	338	* No long long type
	339	*/
	340
	341	#define LBITS(a) ((a)&BN_MASK2l)
	342	#define HBITS(a) (((a)>>BN_BITS4)&BN_MASK2l)
2f98abbc	343	#define L2HBITS(a) (((a)<<BN_BITS4)&BN_MASK2)
d02b48c6 RE	344
	345	#define LLBITS(a) ((a)&BN_MASKl)
	346	#define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl)
	347	#define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2)
	348
	349	#define mul64(l,h,bl,bh) \
	350	{ \
	351	BN_ULONG m,m1,lt,ht; \
	352	\
	353	lt=l; \
	354	ht=h; \
	355	m =(bh)*(lt); \
	356	lt=(bl)*(lt); \
	357	m1=(bl)*(ht); \
	358	ht =(bh)*(ht); \
316bfb77	359	m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \
d02b48c6 RE	360	ht+=HBITS(m); \
d02b48c6 RE	361	m1=L2HBITS(m); \
58964a49	362	lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \
d02b48c6 RE	363	(l)=lt; \
	364	(h)=ht; \
	365	}
	366
	367	#define sqr64(lo,ho,in) \
	368	{ \
	369	BN_ULONG l,h,m; \
	370	\
	371	h=(in); \
	372	l=LBITS(h); \
	373	h=HBITS(h); \
	374	m =(l)*(h); \
	375	l*=l; \
	376	h*=h; \
	377	h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \
	378	m =(m&BN_MASK2l)<<(BN_BITS4+1); \
58964a49	379	l=(l+m)&BN_MASK2; if (l < m) h++; \
d02b48c6 RE	380	(lo)=l; \
	381	(ho)=h; \
	382	}
	383
	384	#define mul_add(r,a,bl,bh,c) { \
	385	BN_ULONG l,h; \
	386	\
	387	h= (a); \
	388	l=LBITS(h); \
	389	h=HBITS(h); \
	390	mul64(l,h,(bl),(bh)); \
	391	\
	392	/* non-multiply part */ \
58964a49	393	l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
d02b48c6	394	(c)=(r); \
58964a49	395	l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
d02b48c6	396	(c)=h&BN_MASK2; \
58964a49	397	(r)=l; \
d02b48c6 RE	398	}
	399
	400	#define mul(r,a,bl,bh,c) { \
	401	BN_ULONG l,h; \
	402	\
	403	h= (a); \
	404	l=LBITS(h); \
	405	h=HBITS(h); \
	406	mul64(l,h,(bl),(bh)); \
	407	\
	408	/* non-multiply part */ \
	409	l+=(c); if ((l&BN_MASK2) < (c)) h++; \
	410	(c)=h&BN_MASK2; \
	411	(r)=l&BN_MASK2; \
	412	}
775c63fc	413	#endif /* !BN_LLONG */
d02b48c6	414
fb92ba64 UM	415	void bn_mul_normal(BN_ULONG r,BN_ULONG a,int na,BN_ULONG *b,int nb);
	416	void bn_mul_comba8(BN_ULONG r,BN_ULONG a,BN_ULONG *b);
	417	void bn_mul_comba4(BN_ULONG r,BN_ULONG a,BN_ULONG *b);
cbd48ba6 RL	418	void bn_sqr_normal(BN_ULONG r, const BN_ULONG a, int n, BN_ULONG *tmp);
	419	void bn_sqr_comba8(BN_ULONG r,const BN_ULONG a);
	420	void bn_sqr_comba4(BN_ULONG r,const BN_ULONG a);
	421	int bn_cmp_words(const BN_ULONG a,const BN_ULONG b,int n);
52a1bab2 UM	422	int bn_cmp_part_words(const BN_ULONG a, const BN_ULONG b,
52a1bab2 UM	423	int cl, int dl);
6a2347ee RL	424	void bn_mul_recursive(BN_ULONG r,BN_ULONG a,BN_ULONG *b,int n2,
6a2347ee RL	425	int dna,int dnb,BN_ULONG *t);
fb92ba64	426	void bn_mul_part_recursive(BN_ULONG r,BN_ULONG a,BN_ULONG *b,
6a2347ee	427	int n,int tna,int tnb,BN_ULONG *t);
cbd48ba6	428	void bn_sqr_recursive(BN_ULONG r,const BN_ULONG a, int n2, BN_ULONG *t);
fb92ba64 UM	429	void bn_mul_low_normal(BN_ULONG r,BN_ULONG a,BN_ULONG *b, int n);
	430	void bn_mul_low_recursive(BN_ULONG r,BN_ULONG a,BN_ULONG *b,int n2,
	431	BN_ULONG *t);
	432	void bn_mul_high(BN_ULONG r,BN_ULONG a,BN_ULONG b,BN_ULONG l,int n2,
	433	BN_ULONG *t);
d5c21afd BM	434	BN_ULONG bn_add_part_words(BN_ULONG r, const BN_ULONG a, const BN_ULONG *b,
d5c21afd BM	435	int cl, int dl);
15156cce UM	436	BN_ULONG bn_sub_part_words(BN_ULONG r, const BN_ULONG a, const BN_ULONG *b,
15156cce UM	437	int cl, int dl);
58964a49	438
d02b48c6 RE	439	#ifdef __cplusplus
	440	}
	441	#endif
	442
	443	#endif