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 *
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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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,const void *n,BN_ULONG k);
50 void rsaz_1024_sqr_avx2(void *ret,const void *a,const void *n,BN_ULONG k,int cnt);
51 void rsaz_1024_scatter5_avx2(void *tbl,const void *val,int i);
52 void rsaz_1024_gather5_avx2(void *val,const void *tbl,int i);
53 void rsaz_1024_red2norm_avx2(void *norm,const void *red);
56 # define ALIGN64 __attribute__((aligned(64)))
57 #elif defined(_MSC_VER)
58 # define ALIGN64 __declspec(align(64))
59 #elif defined(__SUNPRO_C)
61 # pragma align 64(one,two80)
63 # define ALIGN64 /* not fatal, might hurt performance a little */
66 ALIGN64 static const BN_ULONG one[40] = {
67 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
68 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
70 ALIGN64 static const BN_ULONG two80[40] = {
71 0,0,1<<22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
72 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
75 void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
76 const BN_ULONG base_norm[16], const BN_ULONG exponent[16],
77 const BN_ULONG m_norm[16], const BN_ULONG RR[16], BN_ULONG k0)
79 unsigned char storage[320*3+32*9*16+64]; /* 5.5KB */
80 unsigned char *p_str = storage + (64-((size_t)storage%64));
81 unsigned char *a_inv, *m, *result;
82 unsigned char *table_s = p_str+320*3;
83 unsigned char *R2 = table_s; /* borrow */
87 if ((((size_t)p_str&4095)+320)>>12) {
90 m = p_str + 320*2; /* should not cross page */
92 m = p_str; /* should not cross page */
94 a_inv = p_str + 320*2;
97 rsaz_1024_norm2red_avx2(m, m_norm);
98 rsaz_1024_norm2red_avx2(a_inv, base_norm);
99 rsaz_1024_norm2red_avx2(R2, RR);
101 rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
102 rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
105 rsaz_1024_mul_avx2(result, R2, one, m, k0);
106 /* table[1] = a_inv^1 */
107 rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
109 rsaz_1024_scatter5_avx2(table_s,result,0);
110 rsaz_1024_scatter5_avx2(table_s,a_inv,1);
112 /* table[2] = a_inv^2 */
113 rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
114 rsaz_1024_scatter5_avx2(table_s,result,2);
116 /* this is almost 2x smaller and less than 1% slower */
117 for (index=3; index<32; index++) {
118 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
119 rsaz_1024_scatter5_avx2(table_s,result,index);
122 /* table[4] = a_inv^4 */
123 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
124 rsaz_1024_scatter5_avx2(table_s,result,4);
125 /* table[8] = a_inv^8 */
126 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
127 rsaz_1024_scatter5_avx2(table_s,result,8);
128 /* table[16] = a_inv^16 */
129 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
130 rsaz_1024_scatter5_avx2(table_s,result,16);
131 /* table[17] = a_inv^17 */
132 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
133 rsaz_1024_scatter5_avx2(table_s,result,17);
136 rsaz_1024_gather5_avx2(result,table_s,2);
137 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
138 rsaz_1024_scatter5_avx2(table_s,result,3);
140 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
141 rsaz_1024_scatter5_avx2(table_s,result,6);
143 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
144 rsaz_1024_scatter5_avx2(table_s,result,12);
146 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
147 rsaz_1024_scatter5_avx2(table_s,result,24);
149 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
150 rsaz_1024_scatter5_avx2(table_s,result,25);
153 rsaz_1024_gather5_avx2(result,table_s,4);
154 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
155 rsaz_1024_scatter5_avx2(table_s,result,5);
157 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
158 rsaz_1024_scatter5_avx2(table_s,result,10);
160 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
161 rsaz_1024_scatter5_avx2(table_s,result,20);
163 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
164 rsaz_1024_scatter5_avx2(table_s,result,21);
167 rsaz_1024_gather5_avx2(result,table_s,6);
168 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
169 rsaz_1024_scatter5_avx2(table_s,result,7);
171 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
172 rsaz_1024_scatter5_avx2(table_s,result,14);
174 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
175 rsaz_1024_scatter5_avx2(table_s,result,28);
177 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
178 rsaz_1024_scatter5_avx2(table_s,result,29);
181 rsaz_1024_gather5_avx2(result,table_s,8);
182 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
183 rsaz_1024_scatter5_avx2(table_s,result,9);
185 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
186 rsaz_1024_scatter5_avx2(table_s,result,18);
188 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
189 rsaz_1024_scatter5_avx2(table_s,result,19);
192 rsaz_1024_gather5_avx2(result,table_s,10);
193 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
194 rsaz_1024_scatter5_avx2(table_s,result,11);
196 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
197 rsaz_1024_scatter5_avx2(table_s,result,22);
199 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
200 rsaz_1024_scatter5_avx2(table_s,result,23);
203 rsaz_1024_gather5_avx2(result,table_s,12);
204 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
205 rsaz_1024_scatter5_avx2(table_s,result,13);
207 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
208 rsaz_1024_scatter5_avx2(table_s,result,26);
210 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
211 rsaz_1024_scatter5_avx2(table_s,result,27);
214 rsaz_1024_gather5_avx2(result,table_s,14);
215 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
216 rsaz_1024_scatter5_avx2(table_s,result,15);
218 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
219 rsaz_1024_scatter5_avx2(table_s,result,30);
221 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
222 rsaz_1024_scatter5_avx2(table_s,result,31);
225 /* load first window */
226 p_str = (unsigned char*)exponent;
227 wvalue = p_str[127] >> 3;
228 rsaz_1024_gather5_avx2(result,table_s,wvalue);
232 while(index > -1) { /* loop for the remaining 127 windows */
234 rsaz_1024_sqr_avx2(result, result, m, k0, 5);
236 wvalue = *((unsigned short*)&p_str[index/8]);
237 wvalue = (wvalue>> (index%8)) & 31;
240 rsaz_1024_gather5_avx2(a_inv,table_s,wvalue); /* borrow a_inv */
241 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
244 /* square four times */
245 rsaz_1024_sqr_avx2(result, result, m, k0, 4);
247 wvalue = p_str[0] & 15;
249 rsaz_1024_gather5_avx2(a_inv,table_s,wvalue); /* borrow a_inv */
250 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
252 /* from Montgomery */
253 rsaz_1024_mul_avx2(result, result, one, m, k0);
255 rsaz_1024_red2norm_avx2(result_norm, result);
257 OPENSSL_cleanse(storage,sizeof(storage));
261 * See crypto/bn/rsaz-x86_64.pl for further details.
263 void rsaz_512_mul(void *ret,const void *a,const void *b,const void *n,BN_ULONG k);
264 void rsaz_512_mul_scatter4(void *ret,const void *a,const void *n,BN_ULONG k,const void *tbl,unsigned int power);
265 void rsaz_512_mul_gather4(void *ret,const void *a,const void *tbl,const void *n,BN_ULONG k,unsigned int power);
266 void rsaz_512_mul_by_one(void *ret,const void *a,const void *n,BN_ULONG k);
267 void rsaz_512_sqr(void *ret,const void *a,const void *n,BN_ULONG k,int cnt);
268 void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
269 void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
271 void RSAZ_512_mod_exp(BN_ULONG result[8],
272 const BN_ULONG base[8], const BN_ULONG exponent[8],
273 const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
275 unsigned char storage[16*8*8+64*2+64]; /* 1.2KB */
276 unsigned char *table = storage + (64-((size_t)storage%64));
277 BN_ULONG *a_inv = (BN_ULONG *)(table+16*8*8);
278 BN_ULONG *temp = (BN_ULONG *)(table+16*8*8+8*8);
279 unsigned char *p_str = (unsigned char*)exponent;
283 /* table[0] = 1_inv */
284 temp[0] = 0-m[0]; temp[1] = ~m[1];
285 temp[2] = ~m[2]; temp[3] = ~m[3];
286 temp[4] = ~m[4]; temp[5] = ~m[5];
287 temp[6] = ~m[6]; temp[7] = ~m[7];
288 rsaz_512_scatter4(table, temp, 0);
290 /* table [1] = a_inv^1 */
291 rsaz_512_mul(a_inv, base, RR, m, k0);
292 rsaz_512_scatter4(table, a_inv, 1);
294 /* table [2] = a_inv^2 */
295 rsaz_512_sqr(temp, a_inv, m, k0, 1);
296 rsaz_512_scatter4(table, temp, 2);
298 for (index=3; index<16; index++)
299 rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
301 /* load first window */
304 rsaz_512_gather4(temp, table, wvalue>>4);
305 rsaz_512_sqr(temp, temp, m, k0, 4);
306 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue&0xf);
308 for (index=62; index>=0; index--) {
309 wvalue = p_str[index];
311 rsaz_512_sqr(temp, temp, m, k0, 4);
312 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue>>4);
314 rsaz_512_sqr(temp, temp, m, k0, 4);
315 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue&0x0f);
318 /* from Montgomery */
319 rsaz_512_mul_by_one(result, temp, m, k0);
321 OPENSSL_cleanse(storage,sizeof(storage));