1 /*****************************************************************************
3 * Copyright (c) 2012, Intel Corporation *
5 * All rights reserved. *
7 * Redistribution and use in source and binary forms, with or without *
8 * modification, are permitted provided that the following conditions are *
11 * * Redistributions of source code must retain the above copyright *
12 * notice, this list of conditions and the following disclaimer. *
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 *
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. *
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 *
28 * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, *
29 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, *
30 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR *
31 * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF *
32 * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING *
33 * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS *
34 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *
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 *****************************************************************************/
46 NON_EMPTY_TRANSLATION_UNIT
50 * See crypto/bn/asm/rsaz-avx2.pl for further details.
52 void rsaz_1024_norm2red_avx2(void *red, const void *norm);
53 void rsaz_1024_mul_avx2(void *ret, const void *a, const void *b,
54 const void *n, BN_ULONG k);
55 void rsaz_1024_sqr_avx2(void *ret, const void *a, const void *n, BN_ULONG k,
57 void rsaz_1024_scatter5_avx2(void *tbl, const void *val, int i);
58 void rsaz_1024_gather5_avx2(void *val, const void *tbl, int i);
59 void rsaz_1024_red2norm_avx2(void *norm, const void *red);
62 # define ALIGN64 __attribute__((aligned(64)))
63 #elif defined(_MSC_VER)
64 # define ALIGN64 __declspec(align(64))
65 #elif defined(__SUNPRO_C)
67 # pragma align 64(one,two80)
69 /* not fatal, might hurt performance a little */
73 ALIGN64 static const BN_ULONG one[40] = {
74 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
75 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
78 ALIGN64 static const BN_ULONG two80[40] = {
79 0, 0, 1 << 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
80 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
83 void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
84 const BN_ULONG base_norm[16],
85 const BN_ULONG exponent[16],
86 const BN_ULONG m_norm[16], const BN_ULONG RR[16],
89 unsigned char storage[320 * 3 + 32 * 9 * 16 + 64]; /* 5.5KB */
90 unsigned char *p_str = storage + (64 - ((size_t)storage % 64));
91 unsigned char *a_inv, *m, *result;
92 unsigned char *table_s = p_str + 320 * 3;
93 unsigned char *R2 = table_s; /* borrow */
97 if ((((size_t)p_str & 4095) + 320) >> 12) {
100 m = p_str + 320 * 2; /* should not cross page */
102 m = p_str; /* should not cross page */
103 result = p_str + 320;
104 a_inv = p_str + 320 * 2;
107 rsaz_1024_norm2red_avx2(m, m_norm);
108 rsaz_1024_norm2red_avx2(a_inv, base_norm);
109 rsaz_1024_norm2red_avx2(R2, RR);
111 rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
112 rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
115 rsaz_1024_mul_avx2(result, R2, one, m, k0);
116 /* table[1] = a_inv^1 */
117 rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
119 rsaz_1024_scatter5_avx2(table_s, result, 0);
120 rsaz_1024_scatter5_avx2(table_s, a_inv, 1);
122 /* table[2] = a_inv^2 */
123 rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
124 rsaz_1024_scatter5_avx2(table_s, result, 2);
126 /* this is almost 2x smaller and less than 1% slower */
127 for (index = 3; index < 32; index++) {
128 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
129 rsaz_1024_scatter5_avx2(table_s, result, index);
132 /* table[4] = a_inv^4 */
133 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
134 rsaz_1024_scatter5_avx2(table_s, result, 4);
135 /* table[8] = a_inv^8 */
136 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
137 rsaz_1024_scatter5_avx2(table_s, result, 8);
138 /* table[16] = a_inv^16 */
139 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
140 rsaz_1024_scatter5_avx2(table_s, result, 16);
141 /* table[17] = a_inv^17 */
142 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
143 rsaz_1024_scatter5_avx2(table_s, result, 17);
146 rsaz_1024_gather5_avx2(result, table_s, 2);
147 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
148 rsaz_1024_scatter5_avx2(table_s, result, 3);
150 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
151 rsaz_1024_scatter5_avx2(table_s, result, 6);
153 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
154 rsaz_1024_scatter5_avx2(table_s, result, 12);
156 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
157 rsaz_1024_scatter5_avx2(table_s, result, 24);
159 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
160 rsaz_1024_scatter5_avx2(table_s, result, 25);
163 rsaz_1024_gather5_avx2(result, table_s, 4);
164 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
165 rsaz_1024_scatter5_avx2(table_s, result, 5);
167 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
168 rsaz_1024_scatter5_avx2(table_s, result, 10);
170 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
171 rsaz_1024_scatter5_avx2(table_s, result, 20);
173 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
174 rsaz_1024_scatter5_avx2(table_s, result, 21);
177 rsaz_1024_gather5_avx2(result, table_s, 6);
178 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
179 rsaz_1024_scatter5_avx2(table_s, result, 7);
181 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
182 rsaz_1024_scatter5_avx2(table_s, result, 14);
184 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
185 rsaz_1024_scatter5_avx2(table_s, result, 28);
187 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
188 rsaz_1024_scatter5_avx2(table_s, result, 29);
191 rsaz_1024_gather5_avx2(result, table_s, 8);
192 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
193 rsaz_1024_scatter5_avx2(table_s, result, 9);
195 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
196 rsaz_1024_scatter5_avx2(table_s, result, 18);
198 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
199 rsaz_1024_scatter5_avx2(table_s, result, 19);
202 rsaz_1024_gather5_avx2(result, table_s, 10);
203 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
204 rsaz_1024_scatter5_avx2(table_s, result, 11);
206 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
207 rsaz_1024_scatter5_avx2(table_s, result, 22);
209 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
210 rsaz_1024_scatter5_avx2(table_s, result, 23);
213 rsaz_1024_gather5_avx2(result, table_s, 12);
214 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
215 rsaz_1024_scatter5_avx2(table_s, result, 13);
217 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
218 rsaz_1024_scatter5_avx2(table_s, result, 26);
220 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
221 rsaz_1024_scatter5_avx2(table_s, result, 27);
224 rsaz_1024_gather5_avx2(result, table_s, 14);
225 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
226 rsaz_1024_scatter5_avx2(table_s, result, 15);
228 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
229 rsaz_1024_scatter5_avx2(table_s, result, 30);
231 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
232 rsaz_1024_scatter5_avx2(table_s, result, 31);
235 /* load first window */
236 p_str = (unsigned char *)exponent;
237 wvalue = p_str[127] >> 3;
238 rsaz_1024_gather5_avx2(result, table_s, wvalue);
242 while (index > -1) { /* loop for the remaining 127 windows */
244 rsaz_1024_sqr_avx2(result, result, m, k0, 5);
246 wvalue = *((unsigned short *)&p_str[index / 8]);
247 wvalue = (wvalue >> (index % 8)) & 31;
250 rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
251 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
254 /* square four times */
255 rsaz_1024_sqr_avx2(result, result, m, k0, 4);
257 wvalue = p_str[0] & 15;
259 rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
260 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
262 /* from Montgomery */
263 rsaz_1024_mul_avx2(result, result, one, m, k0);
265 rsaz_1024_red2norm_avx2(result_norm, result);
267 OPENSSL_cleanse(storage, sizeof(storage));
271 * See crypto/bn/rsaz-x86_64.pl for further details.
273 void rsaz_512_mul(void *ret, const void *a, const void *b, const void *n,
275 void rsaz_512_mul_scatter4(void *ret, const void *a, const void *n,
276 BN_ULONG k, const void *tbl, unsigned int power);
277 void rsaz_512_mul_gather4(void *ret, const void *a, const void *tbl,
278 const void *n, BN_ULONG k, unsigned int power);
279 void rsaz_512_mul_by_one(void *ret, const void *a, const void *n, BN_ULONG k);
280 void rsaz_512_sqr(void *ret, const void *a, const void *n, BN_ULONG k,
282 void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
283 void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
285 void RSAZ_512_mod_exp(BN_ULONG result[8],
286 const BN_ULONG base[8], const BN_ULONG exponent[8],
287 const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
289 unsigned char storage[16 * 8 * 8 + 64 * 2 + 64]; /* 1.2KB */
290 unsigned char *table = storage + (64 - ((size_t)storage % 64));
291 BN_ULONG *a_inv = (BN_ULONG *)(table + 16 * 8 * 8);
292 BN_ULONG *temp = (BN_ULONG *)(table + 16 * 8 * 8 + 8 * 8);
293 unsigned char *p_str = (unsigned char *)exponent;
297 /* table[0] = 1_inv */
306 rsaz_512_scatter4(table, temp, 0);
308 /* table [1] = a_inv^1 */
309 rsaz_512_mul(a_inv, base, RR, m, k0);
310 rsaz_512_scatter4(table, a_inv, 1);
312 /* table [2] = a_inv^2 */
313 rsaz_512_sqr(temp, a_inv, m, k0, 1);
314 rsaz_512_scatter4(table, temp, 2);
316 for (index = 3; index < 16; index++)
317 rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
319 /* load first window */
322 rsaz_512_gather4(temp, table, wvalue >> 4);
323 rsaz_512_sqr(temp, temp, m, k0, 4);
324 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0xf);
326 for (index = 62; index >= 0; index--) {
327 wvalue = p_str[index];
329 rsaz_512_sqr(temp, temp, m, k0, 4);
330 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue >> 4);
332 rsaz_512_sqr(temp, temp, m, k0, 4);
333 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0x0f);
336 /* from Montgomery */
337 rsaz_512_mul_by_one(result, temp, m, k0);
339 OPENSSL_cleanse(storage, sizeof(storage));