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rsaz_exp.c
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/*
* Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2012, Intel Corporation. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1)
* (1) Intel Corporation, Israel Development Center, Haifa, Israel
* (2) University of Haifa, Israel
*/
#include <openssl/opensslconf.h>
#include "rsaz_exp.h"
#ifndef RSAZ_ENABLED
NON_EMPTY_TRANSLATION_UNIT
#else
/*
* 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 = (p_str[(index / 8) + 1] << 8) | 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));
}
#endif