Commit ca48ace5 authored by Andy Polyakov's avatar Andy Polyakov
Browse files

Take RSAZ modules into build loop, add glue and engage.

RT: 2582, 2850
parent 0b4bb91d
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+1 −1
Original line number Diff line number Diff line
@@ -128,7 +128,7 @@ my $x86_asm="x86cpuid.o:bn-586.o co-586.o x86-mont.o x86-gf2m.o:des-586.o crypt5

my $x86_elf_asm="$x86_asm:elf";

my $x86_64_asm="x86_64cpuid.o:x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o::aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o::md5-x86_64.o:sha1-x86_64.o sha256-x86_64.o sha512-x86_64.o::rc4-x86_64.o rc4-md5-x86_64.o:::wp-x86_64.o:cmll-x86_64.o cmll_misc.o:ghash-x86_64.o aesni-gcm-x86_64.o:e_padlock-x86_64.o";
my $x86_64_asm="x86_64cpuid.o:x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o::aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o::md5-x86_64.o:sha1-x86_64.o sha256-x86_64.o sha512-x86_64.o::rc4-x86_64.o rc4-md5-x86_64.o:::wp-x86_64.o:cmll-x86_64.o cmll_misc.o:ghash-x86_64.o aesni-gcm-x86_64.o:e_padlock-x86_64.o";
my $ia64_asm="ia64cpuid.o:bn-ia64.o ia64-mont.o::aes_core.o aes_cbc.o aes-ia64.o::md5-ia64.o:sha1-ia64.o sha256-ia64.o sha512-ia64.o::rc4-ia64.o rc4_skey.o:::::ghash-ia64.o::void";
my $sparcv9_asm="sparcv9cap.o sparccpuid.o:bn-sparcv9.o sparcv9-mont.o sparcv9a-mont.o vis3-mont.o sparct4-mont.o sparcv9-gf2m.o:des_enc-sparc.o fcrypt_b.o dest4-sparcv9.o:aes_core.o aes_cbc.o aes-sparcv9.o aest4-sparcv9.o::md5-sparcv9.o:sha1-sparcv9.o sha256-sparcv9.o sha512-sparcv9.o::::::camellia.o cmll_misc.o cmll_cbc.o cmllt4-sparcv9.o:ghash-sparcv9.o::void";
my $sparcv8_asm=":sparcv8.o:des_enc-sparc.o fcrypt_b.o:::::::::::::void";
+16 −16
Original line number Diff line number Diff line
@@ -306,7 +306,7 @@ $sys_id =
$lflags       = 
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -801,7 +801,7 @@ $sys_id = WIN64A
$lflags       = 
$bn_ops       = SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = bn_asm.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = bn_asm.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -1494,7 +1494,7 @@ $sys_id = MACOSX
$lflags       = -Wl,-search_paths_first%
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -1659,7 +1659,7 @@ $sys_id = WIN64A
$lflags       = 
$bn_ops       = SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = bn_asm.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = bn_asm.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -1758,7 +1758,7 @@ $sys_id = MACOSX
$lflags       = -Wl,-search_paths_first%
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -1824,7 +1824,7 @@ $sys_id =
$lflags       = 
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -2022,7 +2022,7 @@ $sys_id =
$lflags       = -ldl
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -2550,7 +2550,7 @@ $sys_id =
$lflags       = -ldl
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -2748,7 +2748,7 @@ $sys_id =
$lflags       = -ldl
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -2814,7 +2814,7 @@ $sys_id =
$lflags       = -ldl
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -4464,7 +4464,7 @@ $sys_id =
$lflags       = -ldl
$bn_ops       = SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -4497,7 +4497,7 @@ $sys_id =
$lflags       = -ldl
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -4530,7 +4530,7 @@ $sys_id =
$lflags       = -ldl -no_cpprt
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -4728,7 +4728,7 @@ $sys_id = MINGW64
$lflags       = -lws2_32 -lgdi32 -lcrypt32
$bn_ops       = SIXTY_FOUR_BIT RC4_CHUNK_LL DES_INT EXPORT_VAR_AS_FN
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -5718,7 +5718,7 @@ $sys_id =
$lflags       = -lsocket -lnsl -ldl
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
@@ -5751,7 +5751,7 @@ $sys_id =
$lflags       = -lsocket -lnsl -ldl
$bn_ops       = SIXTY_FOUR_BIT_LONG RC4_CHUNK DES_INT DES_UNROLL
$cpuid_obj    = x86_64cpuid.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o
$bn_obj       = x86_64-gcc.o x86_64-mont.o x86_64-mont5.o x86_64-gf2m.o modexp512-x86_64.o rsaz_exp.o rsaz-x86_64.o rsaz-avx2.o
$des_obj      = 
$aes_obj      = aes-x86_64.o vpaes-x86_64.o bsaes-x86_64.o aesni-x86_64.o aesni-sha1-x86_64.o aesni-sha256-x86_64.o
$bf_obj       = 
+4 −0
Original line number Diff line number Diff line
@@ -110,6 +110,10 @@ x86_64-gf2m.s: asm/x86_64-gf2m.pl
	$(PERL) asm/x86_64-gf2m.pl $(PERLASM_SCHEME) > $@
modexp512-x86_64.s:	asm/modexp512-x86_64.pl
	$(PERL) asm/modexp512-x86_64.pl $(PERLASM_SCHEME) > $@
rsaz-x86_64.s:	asm/rsaz-x86_64.pl
	$(PERL) asm/rsaz-x86_64.pl $(PERLASM_SCHEME) > $@
rsaz-avx2.s:	asm/rsaz-avx2.pl 
	$(PERL) asm/rsaz-avx2.pl $(PERLASM_SCHEME) > $@

bn-ia64.s:	asm/ia64.S
	$(CC) $(CFLAGS) -E asm/ia64.S > $@
+37 −0
Original line number Diff line number Diff line
@@ -128,6 +128,14 @@
# include <alloca.h>
#endif

#undef RSAZ_ENABLED
#if defined(OPENSSL_BN_ASM_MONT) && \
	(defined(__x86_64) || defined(__x86_64__) || \
	 defined(_M_AMD64) || defined(_M_X64))
# include "rsaz_exp.h"
# define RSAZ_ENABLED
#endif

#undef SPARC_T4_MONT
#if defined(OPENSSL_BN_ASM_MONT) && (defined(__sparc__) || defined(__sparc))
# include "sparc_arch.h"
@@ -677,6 +685,35 @@ int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
		if (!BN_MONT_CTX_set(mont,m,ctx)) goto err;
		}

#ifdef RSAZ_ENABLED
	/*
	 * If the size of the operands allow it, perform the optimized
	 * RSAZ exponentiation. For further information see
	 * crypto/bn/rsaz_exp.c and accompanying assembly modules.
	 */
	if ((16 == a->top) && (16 == p->top) && (BN_num_bits(m) == 1024)
	    && rsaz_avx2_eligible())
	    	{
		if (NULL == bn_wexpand(rr, 16)) goto err;
		RSAZ_1024_mod_exp_avx2(rr->d, a->d, p->d, m->d, mont->RR.d, mont->n0[0]);
		rr->top = 16;
		rr->neg = 0;
		bn_correct_top(rr);
		ret = 1;
		goto err;
		}
	else if ((8 == a->top) && (8 == p->top) && (BN_num_bits(m) == 512))
		{
		if (NULL == bn_wexpand(rr,8)) goto err;
		RSAZ_512_mod_exp(rr->d, a->d, p->d, m->d, mont->n0[0], mont->RR.d);
		rr->top = 8;
		rr->neg = 0;
		bn_correct_top(rr);
		ret = 1;
		goto err;
		}
#endif

	/* Get the window size to use with size of p. */
	window = BN_window_bits_for_ctime_exponent_size(bits);
#if defined(SPARC_T4_MONT)

crypto/bn/rsaz_exp.c

0 → 100644
+306 −0
Original line number Diff line number Diff line
/******************************************************************************
* Copyright(c) 2012, Intel Corp.                                             
* Developers and authors:                                                    
* Shay Gueron (1, 2), and Vlad Krasnov (1)                                   
* (1) Intel Corporation, Israel Development Center, Haifa, Israel                               
* (2) University of Haifa, Israel                                              
******************************************************************************
* LICENSE:                                                                
* This submission to OpenSSL is to be made available under the OpenSSL  
* license, and only to the OpenSSL project, in order to allow integration    
* into the publicly distributed code. 
* The use of this code, or portions of this code, or concepts embedded in
* this code, or modification of this code and/or algorithm(s) in it, or the
* use of this code for any other purpose than stated above, requires special
* licensing.                                                                  
******************************************************************************
* DISCLAIMER:                                                                
* THIS SOFTWARE IS PROVIDED BY THE CONTRIBUTORS AND THE COPYRIGHT OWNERS     
* ``AS IS''. 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 CONTRIBUTORS OR THE COPYRIGHT
* OWNERS 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.                                                
******************************************************************************/

#include "rsaz_exp.h"

/*
 * See crypto/bn/asm/rsaz-avx2.pl for further details.
 */
void rsaz_1024_norm2red_avx2(void *red,const void *norm);
void rsaz_1024_mul_avx2(void *ret,const void *a,const void *b,const void *n,unsigned long k);
void rsaz_1024_sqr_avx2(void *ret,const void *a,const void *n,unsigned long k,int cnt);
void rsaz_1024_scatter5_avx2(void *tbl,const void *val,int i);
void rsaz_1024_gather5_avx2(void *val,const void *tbl,int i);
void rsaz_1024_red2norm_avx2(void *norm,const void *red);

#if defined(__GNUC__)
# define ALIGN64	__attribute__((aligned(64)))
#elif defined(_MSC_VER)
# define ALIGN64	__declspec(align(64))
#elif defined(__SUNPRO_C)
# define ALIGN64
# pragma align 64(one,two80)
#else
# define ALIGN64	/* not fatal, might hurt performance a little */
#endif

ALIGN64 static const unsigned long one[40] =
	{1,0,0,    0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
ALIGN64 static const unsigned long two80[40] =
	{0,0,1<<22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};

void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
	const BN_ULONG base_norm[16], const BN_ULONG exponent[16],
	const BN_ULONG m_norm[16], const BN_ULONG RR[16], BN_ULONG k0)
{
	unsigned char	 storage[320*3+32*9*16+64];	/* 5.5KB */
	unsigned char	*p_str = storage + (64-((size_t)storage%64));
	unsigned char	*a_inv, *m, *result,
			*table_s = p_str+320*3,
			*R2      = table_s;	/* borrow */
	int index;
	int wvalue;

	if ((((size_t)p_str&4095)+320)>>12) {
		result = p_str;
		a_inv = p_str + 320;
		m = p_str + 320*2;	/* should not cross page */
	} else {
		m = p_str;		/* should not cross page */
		result = p_str + 320;
		a_inv = p_str + 320*2;
	}

	rsaz_1024_norm2red_avx2(m, m_norm);
	rsaz_1024_norm2red_avx2(a_inv, base_norm);
	rsaz_1024_norm2red_avx2(R2, RR);

	rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
	rsaz_1024_mul_avx2(R2, R2, two80, m, k0);

	/* table[0] = 1 */
	rsaz_1024_mul_avx2(result, R2, one, m, k0);
	/* table[1] = a_inv^1 */
	rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);

	rsaz_1024_scatter5_avx2(table_s,result,0);
	rsaz_1024_scatter5_avx2(table_s,a_inv,1);

	/* table[2] = a_inv^2 */
	rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,2);
#if 0
	/* this is almost 2x smaller and less than 1% slower */
	for (index=3; index<32; index++) {
		rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
		rsaz_1024_scatter5_avx2(table_s,result,index);
	}
#else
	/* table[4] = a_inv^4 */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,4);
	/* table[8] = a_inv^8 */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,8);
	/* table[16] = a_inv^16 */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,16);
	/* table[17] = a_inv^17 */
	rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
	rsaz_1024_scatter5_avx2(table_s,result,17);

	/* table[3] */
	rsaz_1024_gather5_avx2(result,table_s,2);
	rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
	rsaz_1024_scatter5_avx2(table_s,result,3);
	/* table[6] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,6);
	/* table[12] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,12);
 	/* table[24] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,24);
	/* table[25] */
	rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
	rsaz_1024_scatter5_avx2(table_s,result,25);

	/* table[5] */
	rsaz_1024_gather5_avx2(result,table_s,4);
	rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
	rsaz_1024_scatter5_avx2(table_s,result,5);
	/* table[10] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,10);
	/* table[20] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,20);
	/* table[21] */
	rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
	rsaz_1024_scatter5_avx2(table_s,result,21);

	/* table[7] */
	rsaz_1024_gather5_avx2(result,table_s,6);
	rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
	rsaz_1024_scatter5_avx2(table_s,result,7);
	/* table[14] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,14);
	/* table[28] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,28);
	/* table[29] */
	rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
	rsaz_1024_scatter5_avx2(table_s,result,29);

	/* table[9] */
	rsaz_1024_gather5_avx2(result,table_s,8);
	rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
	rsaz_1024_scatter5_avx2(table_s,result,9);
	/* table[18] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,18);
	/* table[19] */
	rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
	rsaz_1024_scatter5_avx2(table_s,result,19);

	/* table[11] */
	rsaz_1024_gather5_avx2(result,table_s,10);
	rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
	rsaz_1024_scatter5_avx2(table_s,result,11);
	/* table[22] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,22);
	/* table[23] */
	rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
	rsaz_1024_scatter5_avx2(table_s,result,23);

	/* table[13] */
	rsaz_1024_gather5_avx2(result,table_s,12);
	rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
	rsaz_1024_scatter5_avx2(table_s,result,13);
	/* table[26] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,26);
	/* table[27] */
	rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
	rsaz_1024_scatter5_avx2(table_s,result,27);

	/* table[15] */
	rsaz_1024_gather5_avx2(result,table_s,14);
	rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
	rsaz_1024_scatter5_avx2(table_s,result,15);
	/* table[30] */
	rsaz_1024_sqr_avx2(result, result, m, k0, 1);
	rsaz_1024_scatter5_avx2(table_s,result,30);
	/* table[31] */
	rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
	rsaz_1024_scatter5_avx2(table_s,result,31);
#endif

	/* load first window */
	p_str = (unsigned char*)exponent;
	wvalue = p_str[127] >> 3;
	rsaz_1024_gather5_avx2(result,table_s,wvalue);

	index = 1014;

	while(index > -1) {	/* loop for the remaining 127 windows */

		rsaz_1024_sqr_avx2(result, result, m, k0, 5);

		wvalue = *((unsigned short*)&p_str[index/8]);
		wvalue = (wvalue>> (index%8)) & 31;
		index-=5;

		rsaz_1024_gather5_avx2(a_inv,table_s,wvalue);	/* borrow a_inv */
		rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
	}

	/* square four times */
	rsaz_1024_sqr_avx2(result, result, m, k0, 4);

	wvalue = p_str[0] & 15;

	rsaz_1024_gather5_avx2(a_inv,table_s,wvalue);	/* borrow a_inv */
	rsaz_1024_mul_avx2(result, result, a_inv, m, k0);

	/* from Montgomery */
	rsaz_1024_mul_avx2(result, result, one, m, k0);

	rsaz_1024_red2norm_avx2(result_norm, result);

	OPENSSL_cleanse(storage,sizeof(storage));
}

/*
 * See crypto/bn/rsaz-x86_64.pl for further details.
 */
void rsaz_512_mul(void *ret,const void *a,const void *b,const void *n,unsigned long k);
void rsaz_512_mul_scatter4(void *ret,const void *a,const void *n,unsigned long k,const void *tbl,unsigned int power);
void rsaz_512_mul_gather4(void *ret,const void *a,const void *tbl,const void *n,unsigned long k,unsigned int power);
void rsaz_512_mul_by_one(void *ret,const void *a,const void *n,unsigned long k);
void rsaz_512_sqr(void *ret,const void *a,const void *n,unsigned long k,int cnt);
void rsaz_512_scatter4(void *tbl, const unsigned long *val, int power);
void rsaz_512_gather4(unsigned long *val, const void *tbl, int power);

void RSAZ_512_mod_exp(BN_ULONG result[8],
	const BN_ULONG base[8], const BN_ULONG exponent[8],
	const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
{
	unsigned char	 storage[16*8*8+64*2+64];	/* 1.2KB */
	unsigned char	*table = storage + (64-((size_t)storage%64));
	unsigned long	*a_inv = (unsigned long *)(table+16*8*8),
			*temp  = (unsigned long *)(table+16*8*8+8*8);
	unsigned char	*p_str = (unsigned char*)exponent;
	int index;
	unsigned int wvalue;

	/* table[0] = 1_inv */
	temp[0] = 0-m[0];	temp[1] = ~m[1];
	temp[2] = ~m[2];	temp[3] = ~m[3];
	temp[4] = ~m[4];	temp[5] = ~m[5];
	temp[6] = ~m[6];	temp[7] = ~m[7];
	rsaz_512_scatter4(table, temp, 0);

	/* table [1] = a_inv^1 */
	rsaz_512_mul(a_inv, base, RR, m, k0);
	rsaz_512_scatter4(table, a_inv, 1);

	/* table [2] = a_inv^2 */
	rsaz_512_sqr(temp, a_inv, m, k0, 1);
	rsaz_512_scatter4(table, temp, 2);

	for (index=3; index<16; index++)
		rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);

	/* load first window */
	wvalue = p_str[63];

	rsaz_512_gather4(temp, table, wvalue>>4);
	rsaz_512_sqr(temp, temp, m, k0, 4);
	rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue&0xf);

	for (index=62; index>=0; index--) {
		wvalue = p_str[index];

		rsaz_512_sqr(temp, temp, m, k0, 4);
		rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue>>4);

		rsaz_512_sqr(temp, temp, m, k0, 4);
		rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue&0x0f);
	}

	/* from Montgomery */
	rsaz_512_mul_by_one(result, temp, m, k0);

	OPENSSL_cleanse(storage,sizeof(storage));
}
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