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rsaz_exp.c

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1/*-
2 * Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.-
3 * Copyright (c) 2012, Intel Corporation. All Rights Reserved.-
4 *-
5 * Licensed under the OpenSSL license (the "License"). You may not use-
6 * this file except in compliance with the License. You can obtain a copy-
7 * in the file LICENSE in the source distribution or at-
8 * https://www.openssl.org/source/license.html-
9 *-
10 * Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1)-
11 * (1) Intel Corporation, Israel Development Center, Haifa, Israel-
12 * (2) University of Haifa, Israel-
13 */-
14-
15#include <openssl/opensslconf.h>-
16#include "rsaz_exp.h"-
17-
18#ifndef RSAZ_ENABLED-
19NON_EMPTY_TRANSLATION_UNIT-
20#else-
21-
22/*-
23 * See crypto/bn/asm/rsaz-avx2.pl for further details.-
24 */-
25void rsaz_1024_norm2red_avx2(void *red, const void *norm);-
26void rsaz_1024_mul_avx2(void *ret, const void *a, const void *b,-
27 const void *n, BN_ULONG k);-
28void rsaz_1024_sqr_avx2(void *ret, const void *a, const void *n, BN_ULONG k,-
29 int cnt);-
30void rsaz_1024_scatter5_avx2(void *tbl, const void *val, int i);-
31void rsaz_1024_gather5_avx2(void *val, const void *tbl, int i);-
32void rsaz_1024_red2norm_avx2(void *norm, const void *red);-
33-
34#if defined(__GNUC__)-
35# define ALIGN64 __attribute__((aligned(64)))-
36#elif defined(_MSC_VER)-
37# define ALIGN64 __declspec(align(64))-
38#elif defined(__SUNPRO_C)-
39# define ALIGN64-
40# pragma align 64(one,two80)-
41#else-
42/* not fatal, might hurt performance a little */-
43# define ALIGN64-
44#endif-
45-
46ALIGN64 static const BN_ULONG one[40] = {-
47 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-
48 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0-
49};-
50-
51ALIGN64 static const BN_ULONG two80[40] = {-
52 0, 0, 1 << 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-
53 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0-
54};-
55-
56void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],-
57 const BN_ULONG base_norm[16],-
58 const BN_ULONG exponent[16],-
59 const BN_ULONG m_norm[16], const BN_ULONG RR[16],-
60 BN_ULONG k0)-
61{-
62 unsigned char storage[320 * 3 + 32 * 9 * 16 + 64]; /* 5.5KB */-
63 unsigned char *p_str = storage + (64 - ((size_t)storage % 64));-
64 unsigned char *a_inv, *m, *result;-
65 unsigned char *table_s = p_str + 320 * 3;-
66 unsigned char *R2 = table_s; /* borrow */-
67 int index;-
68 int wvalue;-
69-
70 if ((((size_t)p_str & 4095) + 320) >> 12) {
(((size_t)p_st...) + 320) >> 12Description
TRUEnever evaluated
FALSEnever evaluated
0
71 result = p_str;-
72 a_inv = p_str + 320;-
73 m = p_str + 320 * 2; /* should not cross page */-
74 } else {
never executed: end of block
0
75 m = p_str; /* should not cross page */-
76 result = p_str + 320;-
77 a_inv = p_str + 320 * 2;-
78 }
never executed: end of block
0
79-
80 rsaz_1024_norm2red_avx2(m, m_norm);-
81 rsaz_1024_norm2red_avx2(a_inv, base_norm);-
82 rsaz_1024_norm2red_avx2(R2, RR);-
83-
84 rsaz_1024_mul_avx2(R2, R2, R2, m, k0);-
85 rsaz_1024_mul_avx2(R2, R2, two80, m, k0);-
86-
87 /* table[0] = 1 */-
88 rsaz_1024_mul_avx2(result, R2, one, m, k0);-
89 /* table[1] = a_inv^1 */-
90 rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);-
91-
92 rsaz_1024_scatter5_avx2(table_s, result, 0);-
93 rsaz_1024_scatter5_avx2(table_s, a_inv, 1);-
94-
95 /* table[2] = a_inv^2 */-
96 rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);-
97 rsaz_1024_scatter5_avx2(table_s, result, 2);-
98#if 0-
99 /* this is almost 2x smaller and less than 1% slower */-
100 for (index = 3; index < 32; index++) {-
101 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
102 rsaz_1024_scatter5_avx2(table_s, result, index);-
103 }-
104#else-
105 /* table[4] = a_inv^4 */-
106 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
107 rsaz_1024_scatter5_avx2(table_s, result, 4);-
108 /* table[8] = a_inv^8 */-
109 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
110 rsaz_1024_scatter5_avx2(table_s, result, 8);-
111 /* table[16] = a_inv^16 */-
112 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
113 rsaz_1024_scatter5_avx2(table_s, result, 16);-
114 /* table[17] = a_inv^17 */-
115 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
116 rsaz_1024_scatter5_avx2(table_s, result, 17);-
117-
118 /* table[3] */-
119 rsaz_1024_gather5_avx2(result, table_s, 2);-
120 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
121 rsaz_1024_scatter5_avx2(table_s, result, 3);-
122 /* table[6] */-
123 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
124 rsaz_1024_scatter5_avx2(table_s, result, 6);-
125 /* table[12] */-
126 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
127 rsaz_1024_scatter5_avx2(table_s, result, 12);-
128 /* table[24] */-
129 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
130 rsaz_1024_scatter5_avx2(table_s, result, 24);-
131 /* table[25] */-
132 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
133 rsaz_1024_scatter5_avx2(table_s, result, 25);-
134-
135 /* table[5] */-
136 rsaz_1024_gather5_avx2(result, table_s, 4);-
137 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
138 rsaz_1024_scatter5_avx2(table_s, result, 5);-
139 /* table[10] */-
140 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
141 rsaz_1024_scatter5_avx2(table_s, result, 10);-
142 /* table[20] */-
143 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
144 rsaz_1024_scatter5_avx2(table_s, result, 20);-
145 /* table[21] */-
146 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
147 rsaz_1024_scatter5_avx2(table_s, result, 21);-
148-
149 /* table[7] */-
150 rsaz_1024_gather5_avx2(result, table_s, 6);-
151 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
152 rsaz_1024_scatter5_avx2(table_s, result, 7);-
153 /* table[14] */-
154 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
155 rsaz_1024_scatter5_avx2(table_s, result, 14);-
156 /* table[28] */-
157 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
158 rsaz_1024_scatter5_avx2(table_s, result, 28);-
159 /* table[29] */-
160 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
161 rsaz_1024_scatter5_avx2(table_s, result, 29);-
162-
163 /* table[9] */-
164 rsaz_1024_gather5_avx2(result, table_s, 8);-
165 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
166 rsaz_1024_scatter5_avx2(table_s, result, 9);-
167 /* table[18] */-
168 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
169 rsaz_1024_scatter5_avx2(table_s, result, 18);-
170 /* table[19] */-
171 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
172 rsaz_1024_scatter5_avx2(table_s, result, 19);-
173-
174 /* table[11] */-
175 rsaz_1024_gather5_avx2(result, table_s, 10);-
176 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
177 rsaz_1024_scatter5_avx2(table_s, result, 11);-
178 /* table[22] */-
179 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
180 rsaz_1024_scatter5_avx2(table_s, result, 22);-
181 /* table[23] */-
182 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
183 rsaz_1024_scatter5_avx2(table_s, result, 23);-
184-
185 /* table[13] */-
186 rsaz_1024_gather5_avx2(result, table_s, 12);-
187 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
188 rsaz_1024_scatter5_avx2(table_s, result, 13);-
189 /* table[26] */-
190 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
191 rsaz_1024_scatter5_avx2(table_s, result, 26);-
192 /* table[27] */-
193 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
194 rsaz_1024_scatter5_avx2(table_s, result, 27);-
195-
196 /* table[15] */-
197 rsaz_1024_gather5_avx2(result, table_s, 14);-
198 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
199 rsaz_1024_scatter5_avx2(table_s, result, 15);-
200 /* table[30] */-
201 rsaz_1024_sqr_avx2(result, result, m, k0, 1);-
202 rsaz_1024_scatter5_avx2(table_s, result, 30);-
203 /* table[31] */-
204 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
205 rsaz_1024_scatter5_avx2(table_s, result, 31);-
206#endif-
207-
208 /* load first window */-
209 p_str = (unsigned char *)exponent;-
210 wvalue = p_str[127] >> 3;-
211 rsaz_1024_gather5_avx2(result, table_s, wvalue);-
212-
213 index = 1014;-
214-
215 while (index > -1) { /* loop for the remaining 127 windows */
index > -1Description
TRUEnever evaluated
FALSEnever evaluated
0
216-
217 rsaz_1024_sqr_avx2(result, result, m, k0, 5);-
218-
219 wvalue = (p_str[(index / 8) + 1] << 8) | p_str[index / 8];-
220 wvalue = (wvalue >> (index % 8)) & 31;-
221 index -= 5;-
222-
223 rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */-
224 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
225 }
never executed: end of block
0
226-
227 /* square four times */-
228 rsaz_1024_sqr_avx2(result, result, m, k0, 4);-
229-
230 wvalue = p_str[0] & 15;-
231-
232 rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */-
233 rsaz_1024_mul_avx2(result, result, a_inv, m, k0);-
234-
235 /* from Montgomery */-
236 rsaz_1024_mul_avx2(result, result, one, m, k0);-
237-
238 rsaz_1024_red2norm_avx2(result_norm, result);-
239-
240 OPENSSL_cleanse(storage, sizeof(storage));-
241}
never executed: end of block
0
242-
243/*-
244 * See crypto/bn/rsaz-x86_64.pl for further details.-
245 */-
246void rsaz_512_mul(void *ret, const void *a, const void *b, const void *n,-
247 BN_ULONG k);-
248void rsaz_512_mul_scatter4(void *ret, const void *a, const void *n,-
249 BN_ULONG k, const void *tbl, unsigned int power);-
250void rsaz_512_mul_gather4(void *ret, const void *a, const void *tbl,-
251 const void *n, BN_ULONG k, unsigned int power);-
252void rsaz_512_mul_by_one(void *ret, const void *a, const void *n, BN_ULONG k);-
253void rsaz_512_sqr(void *ret, const void *a, const void *n, BN_ULONG k,-
254 int cnt);-
255void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);-
256void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);-
257-
258void RSAZ_512_mod_exp(BN_ULONG result[8],-
259 const BN_ULONG base[8], const BN_ULONG exponent[8],-
260 const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])-
261{-
262 unsigned char storage[16 * 8 * 8 + 64 * 2 + 64]; /* 1.2KB */-
263 unsigned char *table = storage + (64 - ((size_t)storage % 64));-
264 BN_ULONG *a_inv = (BN_ULONG *)(table + 16 * 8 * 8);-
265 BN_ULONG *temp = (BN_ULONG *)(table + 16 * 8 * 8 + 8 * 8);-
266 unsigned char *p_str = (unsigned char *)exponent;-
267 int index;-
268 unsigned int wvalue;-
269-
270 /* table[0] = 1_inv */-
271 temp[0] = 0 - m[0];-
272 temp[1] = ~m[1];-
273 temp[2] = ~m[2];-
274 temp[3] = ~m[3];-
275 temp[4] = ~m[4];-
276 temp[5] = ~m[5];-
277 temp[6] = ~m[6];-
278 temp[7] = ~m[7];-
279 rsaz_512_scatter4(table, temp, 0);-
280-
281 /* table [1] = a_inv^1 */-
282 rsaz_512_mul(a_inv, base, RR, m, k0);-
283 rsaz_512_scatter4(table, a_inv, 1);-
284-
285 /* table [2] = a_inv^2 */-
286 rsaz_512_sqr(temp, a_inv, m, k0, 1);-
287 rsaz_512_scatter4(table, temp, 2);-
288-
289 for (index = 3; index < 16; index++)
index < 16Description
TRUEevaluated 8008 times by 1 test
Evaluated by:
  • libcrypto.so.1.1
FALSEevaluated 616 times by 1 test
Evaluated by:
  • libcrypto.so.1.1
616-8008
290 rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
executed 8008 times by 1 test: rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
Executed by:
  • libcrypto.so.1.1
8008
291-
292 /* load first window */-
293 wvalue = p_str[63];-
294-
295 rsaz_512_gather4(temp, table, wvalue >> 4);-
296 rsaz_512_sqr(temp, temp, m, k0, 4);-
297 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0xf);-
298-
299 for (index = 62; index >= 0; index--) {
index >= 0Description
TRUEevaluated 38808 times by 1 test
Evaluated by:
  • libcrypto.so.1.1
FALSEevaluated 616 times by 1 test
Evaluated by:
  • libcrypto.so.1.1
616-38808
300 wvalue = p_str[index];-
301-
302 rsaz_512_sqr(temp, temp, m, k0, 4);-
303 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue >> 4);-
304-
305 rsaz_512_sqr(temp, temp, m, k0, 4);-
306 rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0x0f);-
307 }
executed 38808 times by 1 test: end of block
Executed by:
  • libcrypto.so.1.1
38808
308-
309 /* from Montgomery */-
310 rsaz_512_mul_by_one(result, temp, m, k0);-
311-
312 OPENSSL_cleanse(storage, sizeof(storage));-
313}
executed 616 times by 1 test: end of block
Executed by:
  • libcrypto.so.1.1
616
314-
315#endif-
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