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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 OpenSSL license (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
316