1 /*****************************************************************************
3 * Copyright (c) 2012, Intel Corporation *
5 * All rights reserved. *
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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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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 * See crypto/bn/asm/rsaz-avx2.pl for further details.
48 void rsaz_1024_norm2red_avx2(void *red, const void *norm);
49 void rsaz_1024_mul_avx2(void *ret, const void *a, const void *b,
50 const void *n, BN_ULONG k);
51 void rsaz_1024_sqr_avx2(void *ret, const void *a, const void *n, BN_ULONG k,
53 void rsaz_1024_scatter5_avx2(void *tbl, const void *val, int i);
54 void rsaz_1024_gather5_avx2(void *val, const void *tbl, int i);
55 void rsaz_1024_red2norm_avx2(void *norm, const void *red);
58 # define ALIGN64 __attribute__((aligned(64)))
59 #elif defined(_MSC_VER)
60 # define ALIGN64 __declspec(align(64))
61 #elif defined(__SUNPRO_C)
63 # pragma align 64(one,two80)
65 /* not fatal, might hurt performance a little */
69 ALIGN64 static const BN_ULONG one[40] = {
70 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
71 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
74 ALIGN64 static const BN_ULONG two80[40] = {
75 0, 0, 1 << 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
76 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
79 void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
80 const BN_ULONG base_norm[16],
81 const BN_ULONG exponent[16],
82 const BN_ULONG m_norm[16], const BN_ULONG RR[16],
85 unsigned char storage[320 * 3 + 32 * 9 * 16 + 64]; /* 5.5KB */
86 unsigned char *p_str = storage + (64 - ((size_t)storage % 64));
87 unsigned char *a_inv, *m, *result;
88 unsigned char *table_s = p_str + 320 * 3;
89 unsigned char *R2 = table_s; /* borrow */
93 if ((((size_t)p_str & 4095) + 320) >> 12) {
96 m = p_str + 320 * 2; /* should not cross page */
98 m = p_str; /* should not cross page */
100 a_inv = p_str + 320 * 2;
103 rsaz_1024_norm2red_avx2(m, m_norm);
104 rsaz_1024_norm2red_avx2(a_inv, base_norm);
105 rsaz_1024_norm2red_avx2(R2, RR);
107 rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
108 rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
111 rsaz_1024_mul_avx2(result, R2, one, m, k0);
112 /* table[1] = a_inv^1 */
113 rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
115 rsaz_1024_scatter5_avx2(table_s, result, 0);
116 rsaz_1024_scatter5_avx2(table_s, a_inv, 1);
118 /* table[2] = a_inv^2 */
119 rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
120 rsaz_1024_scatter5_avx2(table_s, result, 2);
122 /* this is almost 2x smaller and less than 1% slower */
123 for (index = 3; index < 32; index++) {
124 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
125 rsaz_1024_scatter5_avx2(table_s, result, index);
128 /* table[4] = a_inv^4 */
129 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
130 rsaz_1024_scatter5_avx2(table_s, result, 4);
131 /* table[8] = a_inv^8 */
132 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
133 rsaz_1024_scatter5_avx2(table_s, result, 8);
134 /* table[16] = a_inv^16 */
135 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
136 rsaz_1024_scatter5_avx2(table_s, result, 16);
137 /* table[17] = a_inv^17 */
138 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
139 rsaz_1024_scatter5_avx2(table_s, result, 17);
142 rsaz_1024_gather5_avx2(result, table_s, 2);
143 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
144 rsaz_1024_scatter5_avx2(table_s, result, 3);
146 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
147 rsaz_1024_scatter5_avx2(table_s, result, 6);
149 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
150 rsaz_1024_scatter5_avx2(table_s, result, 12);
152 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
153 rsaz_1024_scatter5_avx2(table_s, result, 24);
155 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
156 rsaz_1024_scatter5_avx2(table_s, result, 25);
159 rsaz_1024_gather5_avx2(result, table_s, 4);
160 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
161 rsaz_1024_scatter5_avx2(table_s, result, 5);
163 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
164 rsaz_1024_scatter5_avx2(table_s, result, 10);
166 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
167 rsaz_1024_scatter5_avx2(table_s, result, 20);
169 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
170 rsaz_1024_scatter5_avx2(table_s, result, 21);
173 rsaz_1024_gather5_avx2(result, table_s, 6);
174 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
175 rsaz_1024_scatter5_avx2(table_s, result, 7);
177 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
178 rsaz_1024_scatter5_avx2(table_s, result, 14);
180 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
181 rsaz_1024_scatter5_avx2(table_s, result, 28);
183 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
184 rsaz_1024_scatter5_avx2(table_s, result, 29);
187 rsaz_1024_gather5_avx2(result, table_s, 8);
188 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
189 rsaz_1024_scatter5_avx2(table_s, result, 9);
191 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
192 rsaz_1024_scatter5_avx2(table_s, result, 18);
194 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
195 rsaz_1024_scatter5_avx2(table_s, result, 19);
198 rsaz_1024_gather5_avx2(result, table_s, 10);
199 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
200 rsaz_1024_scatter5_avx2(table_s, result, 11);
202 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
203 rsaz_1024_scatter5_avx2(table_s, result, 22);
205 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
206 rsaz_1024_scatter5_avx2(table_s, result, 23);
209 rsaz_1024_gather5_avx2(result, table_s, 12);
210 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
211 rsaz_1024_scatter5_avx2(table_s, result, 13);
213 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
214 rsaz_1024_scatter5_avx2(table_s, result, 26);
216 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
217 rsaz_1024_scatter5_avx2(table_s, result, 27);
220 rsaz_1024_gather5_avx2(result, table_s, 14);
221 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
222 rsaz_1024_scatter5_avx2(table_s, result, 15);
224 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
225 rsaz_1024_scatter5_avx2(table_s, result, 30);
227 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
228 rsaz_1024_scatter5_avx2(table_s, result, 31);
231 /* load first window */
232 p_str = (unsigned char *)exponent;
233 wvalue = p_str[127] >> 3;
234 rsaz_1024_gather5_avx2(result, table_s, wvalue);
238 while (index > -1) { /* loop for the remaining 127 windows */
240 rsaz_1024_sqr_avx2(result, result, m, k0, 5);
242 wvalue = *((unsigned short *)&p_str[index / 8]);
243 wvalue = (wvalue >> (index % 8)) & 31;
246 rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
247 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
250 /* square four times */
251 rsaz_1024_sqr_avx2(result, result, m, k0, 4);
253 wvalue = p_str[0] & 15;
255 rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
256 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
258 /* from Montgomery */
259 rsaz_1024_mul_avx2(result, result, one, m, k0);
261 rsaz_1024_red2norm_avx2(result_norm, result);
263 OPENSSL_cleanse(storage, sizeof(storage));
267 * See crypto/bn/rsaz-x86_64.pl for further details.
269 void rsaz_512_mul(void *ret, const void *a, const void *b, const void *n,
271 void rsaz_512_mul_scatter4(void *ret, const void *a, const void *n,
272 BN_ULONG k, const void *tbl, unsigned int power);
273 void rsaz_512_mul_gather4(void *ret, const void *a, const void *tbl,
274 const void *n, BN_ULONG k, unsigned int power);
275 void rsaz_512_mul_by_one(void *ret, const void *a, const void *n, BN_ULONG k);
276 void rsaz_512_sqr(void *ret, const void *a, const void *n, BN_ULONG k,
278 void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
279 void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
281 void RSAZ_512_mod_exp(BN_ULONG result[8],
282 const BN_ULONG base[8], const BN_ULONG exponent[8],
283 const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
285 unsigned char storage[16 * 8 * 8 + 64 * 2 + 64]; /* 1.2KB */
286 unsigned char *table = storage + (64 - ((size_t)storage % 64));
287 BN_ULONG *a_inv = (BN_ULONG *)(table + 16 * 8 * 8);
288 BN_ULONG *temp = (BN_ULONG *)(table + 16 * 8 * 8 + 8 * 8);
289 unsigned char *p_str = (unsigned char *)exponent;
293 /* table[0] = 1_inv */
302 rsaz_512_scatter4(table, temp, 0);
304 /* table [1] = a_inv^1 */
305 rsaz_512_mul(a_inv, base, RR, m, k0);
306 rsaz_512_scatter4(table, a_inv, 1);
308 /* table [2] = a_inv^2 */
309 rsaz_512_sqr(temp, a_inv, m, k0, 1);
310 rsaz_512_scatter4(table, temp, 2);
312 for (index = 3; index < 16; index++)
313 rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
315 /* load first window */
318 rsaz_512_gather4(temp, table, wvalue >> 4);
319 rsaz_512_sqr(temp, temp, m, k0, 4);
320 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0xf);
322 for (index = 62; index >= 0; index--) {
323 wvalue = p_str[index];
325 rsaz_512_sqr(temp, temp, m, k0, 4);
326 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue >> 4);
328 rsaz_512_sqr(temp, temp, m, k0, 4);
329 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0x0f);
332 /* from Montgomery */
333 rsaz_512_mul_by_one(result, temp, m, k0);
335 OPENSSL_cleanse(storage, sizeof(storage));