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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
68 ALIGN64 static const BN_ULONG two80[40] =
69 {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};
71 void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
72 const BN_ULONG base_norm[16], const BN_ULONG exponent[16],
73 const BN_ULONG m_norm[16], const BN_ULONG RR[16], BN_ULONG k0)
75 unsigned char storage[320*3+32*9*16+64]; /* 5.5KB */
76 unsigned char *p_str = storage + (64-((size_t)storage%64));
77 unsigned char *a_inv, *m, *result,
78 *table_s = p_str+320*3,
79 *R2 = table_s; /* borrow */
83 if ((((size_t)p_str&4095)+320)>>12) {
86 m = p_str + 320*2; /* should not cross page */
88 m = p_str; /* should not cross page */
90 a_inv = p_str + 320*2;
93 rsaz_1024_norm2red_avx2(m, m_norm);
94 rsaz_1024_norm2red_avx2(a_inv, base_norm);
95 rsaz_1024_norm2red_avx2(R2, RR);
97 rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
98 rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
101 rsaz_1024_mul_avx2(result, R2, one, m, k0);
102 /* table[1] = a_inv^1 */
103 rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
105 rsaz_1024_scatter5_avx2(table_s,result,0);
106 rsaz_1024_scatter5_avx2(table_s,a_inv,1);
108 /* table[2] = a_inv^2 */
109 rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
110 rsaz_1024_scatter5_avx2(table_s,result,2);
112 /* this is almost 2x smaller and less than 1% slower */
113 for (index=3; index<32; index++) {
114 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
115 rsaz_1024_scatter5_avx2(table_s,result,index);
118 /* table[4] = a_inv^4 */
119 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
120 rsaz_1024_scatter5_avx2(table_s,result,4);
121 /* table[8] = a_inv^8 */
122 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
123 rsaz_1024_scatter5_avx2(table_s,result,8);
124 /* table[16] = a_inv^16 */
125 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
126 rsaz_1024_scatter5_avx2(table_s,result,16);
127 /* table[17] = a_inv^17 */
128 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
129 rsaz_1024_scatter5_avx2(table_s,result,17);
132 rsaz_1024_gather5_avx2(result,table_s,2);
133 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
134 rsaz_1024_scatter5_avx2(table_s,result,3);
136 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
137 rsaz_1024_scatter5_avx2(table_s,result,6);
139 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
140 rsaz_1024_scatter5_avx2(table_s,result,12);
142 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
143 rsaz_1024_scatter5_avx2(table_s,result,24);
145 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
146 rsaz_1024_scatter5_avx2(table_s,result,25);
149 rsaz_1024_gather5_avx2(result,table_s,4);
150 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
151 rsaz_1024_scatter5_avx2(table_s,result,5);
153 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
154 rsaz_1024_scatter5_avx2(table_s,result,10);
156 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
157 rsaz_1024_scatter5_avx2(table_s,result,20);
159 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
160 rsaz_1024_scatter5_avx2(table_s,result,21);
163 rsaz_1024_gather5_avx2(result,table_s,6);
164 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
165 rsaz_1024_scatter5_avx2(table_s,result,7);
167 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
168 rsaz_1024_scatter5_avx2(table_s,result,14);
170 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
171 rsaz_1024_scatter5_avx2(table_s,result,28);
173 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
174 rsaz_1024_scatter5_avx2(table_s,result,29);
177 rsaz_1024_gather5_avx2(result,table_s,8);
178 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
179 rsaz_1024_scatter5_avx2(table_s,result,9);
181 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
182 rsaz_1024_scatter5_avx2(table_s,result,18);
184 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
185 rsaz_1024_scatter5_avx2(table_s,result,19);
188 rsaz_1024_gather5_avx2(result,table_s,10);
189 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
190 rsaz_1024_scatter5_avx2(table_s,result,11);
192 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
193 rsaz_1024_scatter5_avx2(table_s,result,22);
195 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
196 rsaz_1024_scatter5_avx2(table_s,result,23);
199 rsaz_1024_gather5_avx2(result,table_s,12);
200 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
201 rsaz_1024_scatter5_avx2(table_s,result,13);
203 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
204 rsaz_1024_scatter5_avx2(table_s,result,26);
206 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
207 rsaz_1024_scatter5_avx2(table_s,result,27);
210 rsaz_1024_gather5_avx2(result,table_s,14);
211 rsaz_1024_mul_avx2(result,result,a_inv,m,k0);
212 rsaz_1024_scatter5_avx2(table_s,result,15);
214 rsaz_1024_sqr_avx2(result, result, m, k0, 1);
215 rsaz_1024_scatter5_avx2(table_s,result,30);
217 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
218 rsaz_1024_scatter5_avx2(table_s,result,31);
221 /* load first window */
222 p_str = (unsigned char*)exponent;
223 wvalue = p_str[127] >> 3;
224 rsaz_1024_gather5_avx2(result,table_s,wvalue);
228 while(index > -1) { /* loop for the remaining 127 windows */
230 rsaz_1024_sqr_avx2(result, result, m, k0, 5);
232 wvalue = *((unsigned short*)&p_str[index/8]);
233 wvalue = (wvalue>> (index%8)) & 31;
236 rsaz_1024_gather5_avx2(a_inv,table_s,wvalue); /* borrow a_inv */
237 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
240 /* square four times */
241 rsaz_1024_sqr_avx2(result, result, m, k0, 4);
243 wvalue = p_str[0] & 15;
245 rsaz_1024_gather5_avx2(a_inv,table_s,wvalue); /* borrow a_inv */
246 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
248 /* from Montgomery */
249 rsaz_1024_mul_avx2(result, result, one, m, k0);
251 rsaz_1024_red2norm_avx2(result_norm, result);
253 OPENSSL_cleanse(storage,sizeof(storage));
257 * See crypto/bn/rsaz-x86_64.pl for further details.
259 void rsaz_512_mul(void *ret,const void *a,const void *b,const void *n,BN_ULONG k);
260 void rsaz_512_mul_scatter4(void *ret,const void *a,const void *n,BN_ULONG k,const void *tbl,unsigned int power);
261 void rsaz_512_mul_gather4(void *ret,const void *a,const void *tbl,const void *n,BN_ULONG k,unsigned int power);
262 void rsaz_512_mul_by_one(void *ret,const void *a,const void *n,BN_ULONG k);
263 void rsaz_512_sqr(void *ret,const void *a,const void *n,BN_ULONG k,int cnt);
264 void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
265 void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
267 void RSAZ_512_mod_exp(BN_ULONG result[8],
268 const BN_ULONG base[8], const BN_ULONG exponent[8],
269 const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
271 unsigned char storage[16*8*8+64*2+64]; /* 1.2KB */
272 unsigned char *table = storage + (64-((size_t)storage%64));
273 BN_ULONG *a_inv = (BN_ULONG *)(table+16*8*8),
274 *temp = (BN_ULONG *)(table+16*8*8+8*8);
275 unsigned char *p_str = (unsigned char*)exponent;
279 /* table[0] = 1_inv */
280 temp[0] = 0-m[0]; temp[1] = ~m[1];
281 temp[2] = ~m[2]; temp[3] = ~m[3];
282 temp[4] = ~m[4]; temp[5] = ~m[5];
283 temp[6] = ~m[6]; temp[7] = ~m[7];
284 rsaz_512_scatter4(table, temp, 0);
286 /* table [1] = a_inv^1 */
287 rsaz_512_mul(a_inv, base, RR, m, k0);
288 rsaz_512_scatter4(table, a_inv, 1);
290 /* table [2] = a_inv^2 */
291 rsaz_512_sqr(temp, a_inv, m, k0, 1);
292 rsaz_512_scatter4(table, temp, 2);
294 for (index=3; index<16; index++)
295 rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
297 /* load first window */
300 rsaz_512_gather4(temp, table, wvalue>>4);
301 rsaz_512_sqr(temp, temp, m, k0, 4);
302 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue&0xf);
304 for (index=62; index>=0; index--) {
305 wvalue = p_str[index];
307 rsaz_512_sqr(temp, temp, m, k0, 4);
308 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue>>4);
310 rsaz_512_sqr(temp, temp, m, k0, 4);
311 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue&0x0f);
314 /* from Montgomery */
315 rsaz_512_mul_by_one(result, temp, m, k0);
317 OPENSSL_cleanse(storage,sizeof(storage));