1 /*****************************************************************************
2 * *
3 * Copyright (c) 2012, Intel Corporation *
4 * *
5 * All rights reserved. *
6 * *
7 * Redistribution and use in source and binary forms, with or without *
8 * modification, are permitted provided that the following conditions are *
9 * met: *
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11 * * Redistributions of source code must retain the above copyright *
12 * notice, this list of conditions and the following disclaimer. *
13 * *
14 * * Redistributions in binary form must reproduce the above copyright *
15 * notice, this list of conditions and the following disclaimer in the *
16 * documentation and/or other materials provided with the *
17 * distribution. *
18 * *
19 * * Neither the name of the Intel Corporation nor the names of its *
20 * contributors may be used to endorse or promote products derived from *
21 * this software without specific prior written permission. *
22 * *
23 * *
24 * THIS SOFTWARE IS PROVIDED BY INTEL CORPORATION ""AS IS"" AND ANY *
25 * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE *
26 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR *
27 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL CORPORATION OR *
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29 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, *
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31 * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF *
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34 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *
35 * *
36 ******************************************************************************
37 * Developers and authors: *
38 * Shay Gueron (1, 2), and Vlad Krasnov (1) *
39 * (1) Intel Corporation, Israel Development Center, Haifa, Israel *
40 * (2) University of Haifa, Israel *
41 *****************************************************************************/
42
43 #include <openssl/base.h>
44
45 #if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64)
46
47 #include "rsaz_exp.h"
48
49 #include <openssl/mem.h>
50
51 #include "../../internal.h"
52
53
54 /*
55 * See crypto/bn/asm/rsaz-avx2.pl for further details.
56 */
57 void rsaz_1024_norm2red_avx2(void *red,const void *norm);
58 void rsaz_1024_mul_avx2(void *ret,const void *a,const void *b,const void *n,BN_ULONG k);
59 void rsaz_1024_sqr_avx2(void *ret,const void *a,const void *n,BN_ULONG k,int cnt);
60 void rsaz_1024_scatter5_avx2(void *tbl,const void *val,int i);
61 void rsaz_1024_gather5_avx2(void *val,const void *tbl,int i);
62 void rsaz_1024_red2norm_avx2(void *norm,const void *red);
63
64 alignas(64) static const BN_ULONG one[40] =
65 {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};
66 alignas(64) static const BN_ULONG two80[40] =
67 {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};
68
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)69 void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
70 const BN_ULONG base_norm[16], const BN_ULONG exponent[16],
71 const BN_ULONG m_norm[16], const BN_ULONG RR[16], BN_ULONG k0)
72 {
73 alignas(64) uint8_t storage[(320 * 3) + (32 * 9 * 16)]; /* 5.5KB */
74 unsigned char *a_inv, *m, *result,
75 *table_s = storage + (320 * 3),
76 *R2 = table_s; /* borrow */
77 int index;
78 int wvalue;
79
80 if (((((uintptr_t)storage & 4095) + 320) >> 12) != 0) {
81 result = storage;
82 a_inv = storage + 320;
83 m = storage + (320 * 2); /* should not cross page */
84 } else {
85 m = storage; /* should not cross page */
86 result = storage + 320;
87 a_inv = storage + (320 * 2);
88 }
89
90 rsaz_1024_norm2red_avx2(m, m_norm);
91 rsaz_1024_norm2red_avx2(a_inv, base_norm);
92 rsaz_1024_norm2red_avx2(R2, RR);
93
94 rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
95 rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
96
97 /* table[0] = 1 */
98 rsaz_1024_mul_avx2(result, R2, one, m, k0);
99 /* table[1] = a_inv^1 */
100 rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
101
102 rsaz_1024_scatter5_avx2(table_s,result,0);
103 rsaz_1024_scatter5_avx2(table_s,a_inv,1);
104
105 /* table[2] = a_inv^2 */
106 rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
107 rsaz_1024_scatter5_avx2(table_s,result,2);
108 #if 0
109 /* this is almost 2x smaller and less than 1% slower */
110 for (index=3; index<32; index++) {
111 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
112 rsaz_1024_scatter5_avx2(table_s,result,index);
113 }
114 #else
115 /* table[4] = a_inv^4 */
116 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
117 rsaz_1024_scatter5_avx2(table_s,result,4);
118 /* table[8] = a_inv^8 */
119 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
120 rsaz_1024_scatter5_avx2(table_s,result,8);
121 /* table[16] = a_inv^16 */
122 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
123 rsaz_1024_scatter5_avx2(table_s,result,16);
124 /* table[17] = a_inv^17 */
125 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
126 rsaz_1024_scatter5_avx2(table_s,result,17);
127
128 /* table[3] */
129 rsaz_1024_gather5_avx2(result,table_s,2);
130 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
131 rsaz_1024_scatter5_avx2(table_s,result,3);
132 /* table[6] */
133 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
134 rsaz_1024_scatter5_avx2(table_s,result,6);
135 /* table[12] */
136 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
137 rsaz_1024_scatter5_avx2(table_s,result,12);
138 /* table[24] */
139 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
140 rsaz_1024_scatter5_avx2(table_s,result,24);
141 /* table[25] */
142 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
143 rsaz_1024_scatter5_avx2(table_s,result,25);
144
145 /* table[5] */
146 rsaz_1024_gather5_avx2(result,table_s,4);
147 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
148 rsaz_1024_scatter5_avx2(table_s,result,5);
149 /* table[10] */
150 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
151 rsaz_1024_scatter5_avx2(table_s,result,10);
152 /* table[20] */
153 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
154 rsaz_1024_scatter5_avx2(table_s,result,20);
155 /* table[21] */
156 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
157 rsaz_1024_scatter5_avx2(table_s,result,21);
158
159 /* table[7] */
160 rsaz_1024_gather5_avx2(result,table_s,6);
161 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
162 rsaz_1024_scatter5_avx2(table_s,result,7);
163 /* table[14] */
164 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
165 rsaz_1024_scatter5_avx2(table_s,result,14);
166 /* table[28] */
167 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
168 rsaz_1024_scatter5_avx2(table_s,result,28);
169 /* table[29] */
170 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
171 rsaz_1024_scatter5_avx2(table_s,result,29);
172
173 /* table[9] */
174 rsaz_1024_gather5_avx2(result,table_s,8);
175 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
176 rsaz_1024_scatter5_avx2(table_s,result,9);
177 /* table[18] */
178 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
179 rsaz_1024_scatter5_avx2(table_s,result,18);
180 /* table[19] */
181 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
182 rsaz_1024_scatter5_avx2(table_s,result,19);
183
184 /* table[11] */
185 rsaz_1024_gather5_avx2(result,table_s,10);
186 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
187 rsaz_1024_scatter5_avx2(table_s,result,11);
188 /* table[22] */
189 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
190 rsaz_1024_scatter5_avx2(table_s,result,22);
191 /* table[23] */
192 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
193 rsaz_1024_scatter5_avx2(table_s,result,23);
194
195 /* table[13] */
196 rsaz_1024_gather5_avx2(result,table_s,12);
197 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
198 rsaz_1024_scatter5_avx2(table_s,result,13);
199 /* table[26] */
200 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
201 rsaz_1024_scatter5_avx2(table_s,result,26);
202 /* table[27] */
203 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
204 rsaz_1024_scatter5_avx2(table_s,result,27);
205
206 /* table[15] */
207 rsaz_1024_gather5_avx2(result,table_s,14);
208 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
209 rsaz_1024_scatter5_avx2(table_s,result,15);
210 /* table[30] */
211 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
212 rsaz_1024_scatter5_avx2(table_s,result,30);
213 /* table[31] */
214 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
215 rsaz_1024_scatter5_avx2(table_s,result,31);
216 #endif
217
218 const uint8_t *p_str = (const uint8_t *)exponent;
219
220 /* load first window */
221 wvalue = p_str[127] >> 3;
222 rsaz_1024_gather5_avx2(result,table_s,wvalue);
223
224 index = 1014;
225
226 while(index > -1) { /* loop for the remaining 127 windows */
227
228 rsaz_1024_sqr_avx2(result, result, m, k0, 5);
229
230 uint16_t wvalue_16;
231 memcpy(&wvalue_16, &p_str[index / 8], sizeof(wvalue_16));
232 wvalue = wvalue_16;
233 wvalue = (wvalue>> (index%8)) & 31;
234 index-=5;
235
236 rsaz_1024_gather5_avx2(a_inv,table_s,wvalue); /* borrow a_inv */
237 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
238 }
239
240 /* square four times */
241 rsaz_1024_sqr_avx2(result, result, m, k0, 4);
242
243 wvalue = p_str[0] & 15;
244
245 rsaz_1024_gather5_avx2(a_inv,table_s,wvalue); /* borrow a_inv */
246 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
247
248 /* from Montgomery */
249 rsaz_1024_mul_avx2(result, result, one, m, k0);
250
251 rsaz_1024_red2norm_avx2(result_norm, result);
252
253 OPENSSL_cleanse(storage,sizeof(storage));
254 }
255
256 #endif /* OPENSSL_X86_64 */
257