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/*****************************************************************************
* *
* 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 "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,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);
#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
/* not fatal, might hurt performance a little */
# define ALIGN64
#endif
ALIGN64 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
};
ALIGN64 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)
{
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;
unsigned char *table_s = p_str+320*3;
unsigned char *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,BN_ULONG k);
void rsaz_512_mul_scatter4(void *ret,const void *a,const void *n,BN_ULONG k,const void *tbl,unsigned int power);
void rsaz_512_mul_gather4(void *ret,const void *a,const void *tbl,const void *n,BN_ULONG k,unsigned int power);
void rsaz_512_mul_by_one(void *ret,const void *a,const void *n,BN_ULONG k);
void rsaz_512_sqr(void *ret,const void *a,const void *n,BN_ULONG k,int cnt);
void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
void rsaz_512_gather4(BN_ULONG *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));
BN_ULONG *a_inv = (BN_ULONG *)(table+16*8*8);
BN_ULONG *temp = (BN_ULONG *)(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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