1 /*****************************************************************************
3 * Copyright (c) 2012, Intel Corporation *
5 * All rights reserved. *
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8 * modification, are permitted provided that the following conditions are *
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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 *
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27 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL CORPORATION OR *
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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. *
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 *****************************************************************************/
48 * See crypto/bn/asm/rsaz-avx2.pl for further details.
50 void rsaz_1024_norm2red_avx2(void *red, const void *norm);
51 void rsaz_1024_mul_avx2(void *ret, const void *a, const void *b,
52 const void *n, BN_ULONG k);
53 void rsaz_1024_sqr_avx2(void *ret, const void *a, const void *n, BN_ULONG k,
55 void rsaz_1024_scatter5_avx2(void *tbl, const void *val, int i);
56 void rsaz_1024_gather5_avx2(void *val, const void *tbl, int i);
57 void rsaz_1024_red2norm_avx2(void *norm, const void *red);
60 # define ALIGN64 __attribute__((aligned(64)))
61 #elif defined(_MSC_VER)
62 # define ALIGN64 __declspec(align(64))
63 #elif defined(__SUNPRO_C)
65 # pragma align 64(one,two80)
67 /* not fatal, might hurt performance a little */
71 ALIGN64 static const BN_ULONG one[40] = {
72 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
73 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
76 ALIGN64 static const BN_ULONG two80[40] = {
77 0, 0, 1 << 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
78 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
81 void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
82 const BN_ULONG base_norm[16],
83 const BN_ULONG exponent[16],
84 const BN_ULONG m_norm[16], const BN_ULONG RR[16],
87 unsigned char storage[320 * 3 + 32 * 9 * 16 + 64]; /* 5.5KB */
88 unsigned char *p_str = storage + (64 - ((size_t)storage % 64));
89 unsigned char *a_inv, *m, *result;
90 unsigned char *table_s = p_str + 320 * 3;
91 unsigned char *R2 = table_s; /* borrow */
95 if ((((size_t)p_str & 4095) + 320) >> 12) {
98 m = p_str + 320 * 2; /* should not cross page */
100 m = p_str; /* should not cross page */
101 result = p_str + 320;
102 a_inv = p_str + 320 * 2;
105 rsaz_1024_norm2red_avx2(m, m_norm);
106 rsaz_1024_norm2red_avx2(a_inv, base_norm);
107 rsaz_1024_norm2red_avx2(R2, RR);
109 rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
110 rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
113 rsaz_1024_mul_avx2(result, R2, one, m, k0);
114 /* table[1] = a_inv^1 */
115 rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
117 rsaz_1024_scatter5_avx2(table_s, result, 0);
118 rsaz_1024_scatter5_avx2(table_s, a_inv, 1);
120 /* table[2] = a_inv^2 */
121 rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
122 rsaz_1024_scatter5_avx2(table_s, result, 2);
124 /* this is almost 2x smaller and less than 1% slower */
125 for (index = 3; index < 32; index++) {
126 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
127 rsaz_1024_scatter5_avx2(table_s, result, index);
130 /* table[4] = a_inv^4 */
131 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
132 rsaz_1024_scatter5_avx2(table_s, result, 4);
133 /* table[8] = a_inv^8 */
134 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
135 rsaz_1024_scatter5_avx2(table_s, result, 8);
136 /* table[16] = a_inv^16 */
137 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
138 rsaz_1024_scatter5_avx2(table_s, result, 16);
139 /* table[17] = a_inv^17 */
140 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
141 rsaz_1024_scatter5_avx2(table_s, result, 17);
144 rsaz_1024_gather5_avx2(result, table_s, 2);
145 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
146 rsaz_1024_scatter5_avx2(table_s, result, 3);
148 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
149 rsaz_1024_scatter5_avx2(table_s, result, 6);
151 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
152 rsaz_1024_scatter5_avx2(table_s, result, 12);
154 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
155 rsaz_1024_scatter5_avx2(table_s, result, 24);
157 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
158 rsaz_1024_scatter5_avx2(table_s, result, 25);
161 rsaz_1024_gather5_avx2(result, table_s, 4);
162 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
163 rsaz_1024_scatter5_avx2(table_s, result, 5);
165 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
166 rsaz_1024_scatter5_avx2(table_s, result, 10);
168 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
169 rsaz_1024_scatter5_avx2(table_s, result, 20);
171 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
172 rsaz_1024_scatter5_avx2(table_s, result, 21);
175 rsaz_1024_gather5_avx2(result, table_s, 6);
176 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
177 rsaz_1024_scatter5_avx2(table_s, result, 7);
179 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
180 rsaz_1024_scatter5_avx2(table_s, result, 14);
182 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
183 rsaz_1024_scatter5_avx2(table_s, result, 28);
185 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
186 rsaz_1024_scatter5_avx2(table_s, result, 29);
189 rsaz_1024_gather5_avx2(result, table_s, 8);
190 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
191 rsaz_1024_scatter5_avx2(table_s, result, 9);
193 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
194 rsaz_1024_scatter5_avx2(table_s, result, 18);
196 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
197 rsaz_1024_scatter5_avx2(table_s, result, 19);
200 rsaz_1024_gather5_avx2(result, table_s, 10);
201 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
202 rsaz_1024_scatter5_avx2(table_s, result, 11);
204 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
205 rsaz_1024_scatter5_avx2(table_s, result, 22);
207 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
208 rsaz_1024_scatter5_avx2(table_s, result, 23);
211 rsaz_1024_gather5_avx2(result, table_s, 12);
212 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
213 rsaz_1024_scatter5_avx2(table_s, result, 13);
215 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
216 rsaz_1024_scatter5_avx2(table_s, result, 26);
218 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
219 rsaz_1024_scatter5_avx2(table_s, result, 27);
222 rsaz_1024_gather5_avx2(result, table_s, 14);
223 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
224 rsaz_1024_scatter5_avx2(table_s, result, 15);
226 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
227 rsaz_1024_scatter5_avx2(table_s, result, 30);
229 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
230 rsaz_1024_scatter5_avx2(table_s, result, 31);
233 /* load first window */
234 p_str = (unsigned char *)exponent;
235 wvalue = p_str[127] >> 3;
236 rsaz_1024_gather5_avx2(result, table_s, wvalue);
240 while (index > -1) { /* loop for the remaining 127 windows */
242 rsaz_1024_sqr_avx2(result, result, m, k0, 5);
244 wvalue = *((unsigned short *)&p_str[index / 8]);
245 wvalue = (wvalue >> (index % 8)) & 31;
248 rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
249 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
252 /* square four times */
253 rsaz_1024_sqr_avx2(result, result, m, k0, 4);
255 wvalue = p_str[0] & 15;
257 rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
258 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
260 /* from Montgomery */
261 rsaz_1024_mul_avx2(result, result, one, m, k0);
263 rsaz_1024_red2norm_avx2(result_norm, result);
265 OPENSSL_cleanse(storage, sizeof(storage));
269 * See crypto/bn/rsaz-x86_64.pl for further details.
271 void rsaz_512_mul(void *ret, const void *a, const void *b, const void *n,
273 void rsaz_512_mul_scatter4(void *ret, const void *a, const void *n,
274 BN_ULONG k, const void *tbl, unsigned int power);
275 void rsaz_512_mul_gather4(void *ret, const void *a, const void *tbl,
276 const void *n, BN_ULONG k, unsigned int power);
277 void rsaz_512_mul_by_one(void *ret, const void *a, const void *n, BN_ULONG k);
278 void rsaz_512_sqr(void *ret, const void *a, const void *n, BN_ULONG k,
280 void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
281 void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
283 void RSAZ_512_mod_exp(BN_ULONG result[8],
284 const BN_ULONG base[8], const BN_ULONG exponent[8],
285 const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
287 unsigned char storage[16 * 8 * 8 + 64 * 2 + 64]; /* 1.2KB */
288 unsigned char *table = storage + (64 - ((size_t)storage % 64));
289 BN_ULONG *a_inv = (BN_ULONG *)(table + 16 * 8 * 8);
290 BN_ULONG *temp = (BN_ULONG *)(table + 16 * 8 * 8 + 8 * 8);
291 unsigned char *p_str = (unsigned char *)exponent;
295 /* table[0] = 1_inv */
304 rsaz_512_scatter4(table, temp, 0);
306 /* table [1] = a_inv^1 */
307 rsaz_512_mul(a_inv, base, RR, m, k0);
308 rsaz_512_scatter4(table, a_inv, 1);
310 /* table [2] = a_inv^2 */
311 rsaz_512_sqr(temp, a_inv, m, k0, 1);
312 rsaz_512_scatter4(table, temp, 2);
314 for (index = 3; index < 16; index++)
315 rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
317 /* load first window */
320 rsaz_512_gather4(temp, table, wvalue >> 4);
321 rsaz_512_sqr(temp, temp, m, k0, 4);
322 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0xf);
324 for (index = 62; index >= 0; index--) {
325 wvalue = p_str[index];
327 rsaz_512_sqr(temp, temp, m, k0, 4);
328 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue >> 4);
330 rsaz_512_sqr(temp, temp, m, k0, 4);
331 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0x0f);
334 /* from Montgomery */
335 rsaz_512_mul_by_one(result, temp, m, k0);
337 OPENSSL_cleanse(storage, sizeof(storage));
342 # if defined(PEDANTIC) || defined(__DECC) || defined(__clang__)
343 static void *dummy = &dummy;