1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
|
/*****************************************************************************
* *
* 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));
}
|
