crypto/fipsmodule/bn/rsaz_exp.c - boringssl - Git at Google

 /*****************************************************************************
 *                                                                            *
 *  Copyright (c) 2012, Intel Corporation                                     *
 *                                                                            *
 *  All rights reserved.                                                      *
 *                                                                            *
 *  Redistribution and use in source and binary forms, with or without        *
 *  modification, are permitted provided that the following conditions are    *
 *  met:                                                                      *
 *                                                                            *
 *  *  Redistributions of source code must retain the above copyright         *
 *     notice, this list of conditions and the following disclaimer.          *
 *                                                                            *
 *  *  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.                                                          *
 *                                                                            *
 *  *  Neither the name of the Intel Corporation nor the names of its         *
 *     contributors may be used to endorse or promote products derived from   *
 *     this software without specific prior written permission.               *
 *                                                                            *
 *                                                                            *
 *  THIS SOFTWARE IS PROVIDED BY INTEL CORPORATION ""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 INTEL CORPORATION 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.              *
 *                                                                            *
 ******************************************************************************
 * Developers and authors:                                                    *
 * Shay Gueron (1, 2), and Vlad Krasnov (1)                                   *
 * (1) Intel Corporation, Israel Development Center, Haifa, Israel            *
 * (2) University of Haifa, Israel                                            *
 *****************************************************************************/

 #include <openssl/base.h>

 #if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64)

 #include "rsaz_exp.h"

 #include <openssl/mem.h>

 #include "../../internal.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,BN_ULONG k);
 void rsaz_1024_sqr_avx2(void *ret,const void *a,const void *n,BN_ULONG 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);

 alignas(64) static const BN_ULONG 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};
 alignas(64) static const BN_ULONG 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)
 {
 	alignas(64) uint8_t storage[(320 * 3) + (32 * 9 * 16)]; /* 5.5KB */
 	unsigned char	*a_inv, *m, *result,
 			*table_s = storage + (320 * 3),
 			*R2      = table_s;	/* borrow */
 	int index;
 	int wvalue;

 	if (((((uintptr_t)storage & 4095) + 320) >> 12) != 0) {
 		result = storage;
 		a_inv = storage + 320;
 		m = storage + (320 * 2); /* should not cross page */
 	} else {
 		m = storage;		/* should not cross page */
 		result = storage + 320;
 		a_inv = storage + (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

 	const uint8_t *p_str = (const uint8_t *)exponent;

 	/* load first window */
 	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 = *((const 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));
 }

 #endif  /* OPENSSL_X86_64 */
	/*****************************************************************************
	* *
	* Copyright (c) 2012, Intel Corporation *
	* *
	* All rights reserved. *
	* *
	* Redistribution and use in source and binary forms, with or without *
	* modification, are permitted provided that the following conditions are *
	* met: *
	* *
	* * Redistributions of source code must retain the above copyright *
	* notice, this list of conditions and the following disclaimer. *
	* *
	* * 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. *
	* *
	* * Neither the name of the Intel Corporation nor the names of its *
	* contributors may be used to endorse or promote products derived from *
	* this software without specific prior written permission. *
	* *
	* *
	* THIS SOFTWARE IS PROVIDED BY INTEL CORPORATION ""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 INTEL CORPORATION 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. *
	* *
	******************************************************************************
	* Developers and authors: *
	* Shay Gueron (1, 2), and Vlad Krasnov (1) *
	* (1) Intel Corporation, Israel Development Center, Haifa, Israel *
	* (2) University of Haifa, Israel *
	*****************************************************************************/

	#include <openssl/base.h>

	#if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64)

	#include "rsaz_exp.h"

	#include <openssl/mem.h>

	#include "../../internal.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,BN_ULONG k);
	void rsaz_1024_sqr_avx2(void ret,const void a,const void *n,BN_ULONG 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);

	alignas(64) static const BN_ULONG 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};
	alignas(64) static const BN_ULONG 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)
	{
	alignas(64) uint8_t storage[(320 * 3) + (32 * 9 * 16)]; /* 5.5KB */
	unsigned char a_inv, m, *result,
	table_s = storage + (320 3),
	R2 = table_s; / borrow */
	int index;
	int wvalue;

	if (((((uintptr_t)storage & 4095) + 320) >> 12) != 0) {
	result = storage;
	a_inv = storage + 320;
	m = storage + (320 * 2); /* should not cross page */
	} else {
	m = storage; /* should not cross page */
	result = storage + 320;
	a_inv = storage + (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

	const uint8_t p_str = (const uint8_t )exponent;

	/* load first window */
	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 = ((const 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));
	}

	#endif /* OPENSSL_X86_64 */