crypto/bn/rsaz_exp.c

   1 /*
   2  * Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
   3  * Copyright (c) 2012, Intel Corporation. All Rights Reserved.
   4  *
   5  * Licensed under the Apache License 2.0 (the "License").  You may not use
   6  * this file except in compliance with the License.  You can obtain a copy
   7  * in the file LICENSE in the source distribution or at
   8  * https://www.openssl.org/source/license.html
   9  *
  10  * Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1)
  11  * (1) Intel Corporation, Israel Development Center, Haifa, Israel
  12  * (2) University of Haifa, Israel
  13  */
  14
  15 #include <openssl/opensslconf.h>
  16 #include "rsaz_exp.h"
  17
  18 #ifndef RSAZ_ENABLED
  19 NON_EMPTY_TRANSLATION_UNIT
  20 #else
  21
  22 /*
  23  * See crypto/bn/asm/rsaz-avx2.pl for further details.
  24  */
  25 void rsaz_1024_norm2red_avx2(void *red, const void *norm);
  26 void rsaz_1024_mul_avx2(void *ret, const void *a, const void *b,
  27                         const void *n, BN_ULONG k);
  28 void rsaz_1024_sqr_avx2(void *ret, const void *a, const void *n, BN_ULONG k,
  29                         int cnt);
  30 void rsaz_1024_scatter5_avx2(void *tbl, const void *val, int i);
  31 void rsaz_1024_gather5_avx2(void *val, const void *tbl, int i);
  32 void rsaz_1024_red2norm_avx2(void *norm, const void *red);
  33
  34 #if defined(__GNUC__)
  35 # define ALIGN64        __attribute__((aligned(64)))
  36 #elif defined(_MSC_VER)
  37 # define ALIGN64        __declspec(align(64))
  38 #elif defined(__SUNPRO_C)
  39 # define ALIGN64
  40 # pragma align 64(one,two80)
  41 #else
  42 /* not fatal, might hurt performance a little */
  43 # define ALIGN64
  44 #endif
  45
  46 ALIGN64 static const BN_ULONG one[40] = {
  47     1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  48     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
  49 };
  50
  51 ALIGN64 static const BN_ULONG two80[40] = {
  52     0, 0, 1 << 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  53     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
  54 };
  55
  56 void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
  57                             const BN_ULONG base_norm[16],
  58                             const BN_ULONG exponent[16],
  59                             const BN_ULONG m_norm[16], const BN_ULONG RR[16],
  60                             BN_ULONG k0)
  61 {
  62     unsigned char storage[320 * 3 + 32 * 9 * 16 + 64]; /* 5.5KB */
  63     unsigned char *p_str = storage + (64 - ((size_t)storage % 64));
  64     unsigned char *a_inv, *m, *result;
  65     unsigned char *table_s = p_str + 320 * 3;
  66     unsigned char *R2 = table_s; /* borrow */
  67     int index;
  68     int wvalue;
  69
  70     if ((((size_t)p_str & 4095) + 320) >> 12) {
  71         result = p_str;
  72         a_inv = p_str + 320;
  73         m = p_str + 320 * 2;    /* should not cross page */
  74     } else {
  75         m = p_str;              /* should not cross page */
  76         result = p_str + 320;
  77         a_inv = p_str + 320 * 2;
  78     }
  79
  80     rsaz_1024_norm2red_avx2(m, m_norm);
  81     rsaz_1024_norm2red_avx2(a_inv, base_norm);
  82     rsaz_1024_norm2red_avx2(R2, RR);
  83
  84     rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
  85     rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
  86
  87     /* table[0] = 1 */
  88     rsaz_1024_mul_avx2(result, R2, one, m, k0);
  89     /* table[1] = a_inv^1 */
  90     rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
  91
  92     rsaz_1024_scatter5_avx2(table_s, result, 0);
  93     rsaz_1024_scatter5_avx2(table_s, a_inv, 1);
  94
  95     /* table[2] = a_inv^2 */
  96     rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
  97     rsaz_1024_scatter5_avx2(table_s, result, 2);
  98 #if 0
  99     /* this is almost 2x smaller and less than 1% slower */
 100     for (index = 3; index < 32; index++) {
 101         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 102         rsaz_1024_scatter5_avx2(table_s, result, index);
 103     }
 104 #else
 105     /* table[4] = a_inv^4 */
 106     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 107     rsaz_1024_scatter5_avx2(table_s, result, 4);
 108     /* table[8] = a_inv^8 */
 109     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 110     rsaz_1024_scatter5_avx2(table_s, result, 8);
 111     /* table[16] = a_inv^16 */
 112     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 113     rsaz_1024_scatter5_avx2(table_s, result, 16);
 114     /* table[17] = a_inv^17 */
 115     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 116     rsaz_1024_scatter5_avx2(table_s, result, 17);
 117
 118     /* table[3] */
 119     rsaz_1024_gather5_avx2(result, table_s, 2);
 120     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 121     rsaz_1024_scatter5_avx2(table_s, result, 3);
 122     /* table[6] */
 123     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 124     rsaz_1024_scatter5_avx2(table_s, result, 6);
 125     /* table[12] */
 126     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 127     rsaz_1024_scatter5_avx2(table_s, result, 12);
 128     /* table[24] */
 129     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 130     rsaz_1024_scatter5_avx2(table_s, result, 24);
 131     /* table[25] */
 132     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 133     rsaz_1024_scatter5_avx2(table_s, result, 25);
 134
 135     /* table[5] */
 136     rsaz_1024_gather5_avx2(result, table_s, 4);
 137     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 138     rsaz_1024_scatter5_avx2(table_s, result, 5);
 139     /* table[10] */
 140     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 141     rsaz_1024_scatter5_avx2(table_s, result, 10);
 142     /* table[20] */
 143     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 144     rsaz_1024_scatter5_avx2(table_s, result, 20);
 145     /* table[21] */
 146     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 147     rsaz_1024_scatter5_avx2(table_s, result, 21);
 148
 149     /* table[7] */
 150     rsaz_1024_gather5_avx2(result, table_s, 6);
 151     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 152     rsaz_1024_scatter5_avx2(table_s, result, 7);
 153     /* table[14] */
 154     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 155     rsaz_1024_scatter5_avx2(table_s, result, 14);
 156     /* table[28] */
 157     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 158     rsaz_1024_scatter5_avx2(table_s, result, 28);
 159     /* table[29] */
 160     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 161     rsaz_1024_scatter5_avx2(table_s, result, 29);
 162
 163     /* table[9] */
 164     rsaz_1024_gather5_avx2(result, table_s, 8);
 165     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 166     rsaz_1024_scatter5_avx2(table_s, result, 9);
 167     /* table[18] */
 168     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 169     rsaz_1024_scatter5_avx2(table_s, result, 18);
 170     /* table[19] */
 171     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 172     rsaz_1024_scatter5_avx2(table_s, result, 19);
 173
 174     /* table[11] */
 175     rsaz_1024_gather5_avx2(result, table_s, 10);
 176     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 177     rsaz_1024_scatter5_avx2(table_s, result, 11);
 178     /* table[22] */
 179     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 180     rsaz_1024_scatter5_avx2(table_s, result, 22);
 181     /* table[23] */
 182     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 183     rsaz_1024_scatter5_avx2(table_s, result, 23);
 184
 185     /* table[13] */
 186     rsaz_1024_gather5_avx2(result, table_s, 12);
 187     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 188     rsaz_1024_scatter5_avx2(table_s, result, 13);
 189     /* table[26] */
 190     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 191     rsaz_1024_scatter5_avx2(table_s, result, 26);
 192     /* table[27] */
 193     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 194     rsaz_1024_scatter5_avx2(table_s, result, 27);
 195
 196     /* table[15] */
 197     rsaz_1024_gather5_avx2(result, table_s, 14);
 198     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 199     rsaz_1024_scatter5_avx2(table_s, result, 15);
 200     /* table[30] */
 201     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
 202     rsaz_1024_scatter5_avx2(table_s, result, 30);
 203     /* table[31] */
 204     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 205     rsaz_1024_scatter5_avx2(table_s, result, 31);
 206 #endif
 207
 208     /* load first window */
 209     p_str = (unsigned char *)exponent;
 210     wvalue = p_str[127] >> 3;
 211     rsaz_1024_gather5_avx2(result, table_s, wvalue);
 212
 213     index = 1014;
 214
 215     while (index > -1) {        /* loop for the remaining 127 windows */
 216
 217         rsaz_1024_sqr_avx2(result, result, m, k0, 5);
 218
 219         wvalue = (p_str[(index / 8) + 1] << 8) | p_str[index / 8];
 220         wvalue = (wvalue >> (index % 8)) & 31;
 221         index -= 5;
 222
 223         rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
 224         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 225     }
 226
 227     /* square four times */
 228     rsaz_1024_sqr_avx2(result, result, m, k0, 4);
 229
 230     wvalue = p_str[0] & 15;
 231
 232     rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
 233     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
 234
 235     /* from Montgomery */
 236     rsaz_1024_mul_avx2(result, result, one, m, k0);
 237
 238     rsaz_1024_red2norm_avx2(result_norm, result);
 239
 240     OPENSSL_cleanse(storage, sizeof(storage));
 241 }
 242
 243 /*
 244  * See crypto/bn/rsaz-x86_64.pl for further details.
 245  */
 246 void rsaz_512_mul(void *ret, const void *a, const void *b, const void *n,
 247                   BN_ULONG k);
 248 void rsaz_512_mul_scatter4(void *ret, const void *a, const void *n,
 249                            BN_ULONG k, const void *tbl, unsigned int power);
 250 void rsaz_512_mul_gather4(void *ret, const void *a, const void *tbl,
 251                           const void *n, BN_ULONG k, unsigned int power);
 252 void rsaz_512_mul_by_one(void *ret, const void *a, const void *n, BN_ULONG k);
 253 void rsaz_512_sqr(void *ret, const void *a, const void *n, BN_ULONG k,
 254                   int cnt);
 255 void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
 256 void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
 257
 258 void RSAZ_512_mod_exp(BN_ULONG result[8],
 259                       const BN_ULONG base[8], const BN_ULONG exponent[8],
 260                       const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
 261 {
 262     unsigned char storage[16 * 8 * 8 + 64 * 2 + 64]; /* 1.2KB */
 263     unsigned char *table = storage + (64 - ((size_t)storage % 64));
 264     BN_ULONG *a_inv = (BN_ULONG *)(table + 16 * 8 * 8);
 265     BN_ULONG *temp = (BN_ULONG *)(table + 16 * 8 * 8 + 8 * 8);
 266     unsigned char *p_str = (unsigned char *)exponent;
 267     int index;
 268     unsigned int wvalue;
 269
 270     /* table[0] = 1_inv */
 271     temp[0] = 0 - m[0];
 272     temp[1] = ~m[1];
 273     temp[2] = ~m[2];
 274     temp[3] = ~m[3];
 275     temp[4] = ~m[4];
 276     temp[5] = ~m[5];
 277     temp[6] = ~m[6];
 278     temp[7] = ~m[7];
 279     rsaz_512_scatter4(table, temp, 0);
 280
 281     /* table [1] = a_inv^1 */
 282     rsaz_512_mul(a_inv, base, RR, m, k0);
 283     rsaz_512_scatter4(table, a_inv, 1);
 284
 285     /* table [2] = a_inv^2 */
 286     rsaz_512_sqr(temp, a_inv, m, k0, 1);
 287     rsaz_512_scatter4(table, temp, 2);
 288
 289     for (index = 3; index < 16; index++)
 290         rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
 291
 292     /* load first window */
 293     wvalue = p_str[63];
 294
 295     rsaz_512_gather4(temp, table, wvalue >> 4);
 296     rsaz_512_sqr(temp, temp, m, k0, 4);
 297     rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0xf);
 298
 299     for (index = 62; index >= 0; index--) {
 300         wvalue = p_str[index];
 301
 302         rsaz_512_sqr(temp, temp, m, k0, 4);
 303         rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue >> 4);
 304
 305         rsaz_512_sqr(temp, temp, m, k0, 4);
 306         rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0x0f);
 307     }
 308
 309     /* from Montgomery */
 310     rsaz_512_mul_by_one(result, temp, m, k0);
 311
 312     OPENSSL_cleanse(storage, sizeof(storage));
 313 }
 314
 315 #endif