xref: /freebsd/crypto/openssl/crypto/bn/rsaz_exp.c (revision 7bded2db17780f5b59bc532689d8a9541f06901e)
1*7bded2dbSJung-uk Kim /*****************************************************************************
2*7bded2dbSJung-uk Kim *                                                                            *
3*7bded2dbSJung-uk Kim *  Copyright (c) 2012, Intel Corporation                                     *
4*7bded2dbSJung-uk Kim *                                                                            *
5*7bded2dbSJung-uk Kim *  All rights reserved.                                                      *
6*7bded2dbSJung-uk Kim *                                                                            *
7*7bded2dbSJung-uk Kim *  Redistribution and use in source and binary forms, with or without        *
8*7bded2dbSJung-uk Kim *  modification, are permitted provided that the following conditions are    *
9*7bded2dbSJung-uk Kim *  met:                                                                      *
10*7bded2dbSJung-uk Kim *                                                                            *
11*7bded2dbSJung-uk Kim *  *  Redistributions of source code must retain the above copyright         *
12*7bded2dbSJung-uk Kim *     notice, this list of conditions and the following disclaimer.          *
13*7bded2dbSJung-uk Kim *                                                                            *
14*7bded2dbSJung-uk Kim *  *  Redistributions in binary form must reproduce the above copyright      *
15*7bded2dbSJung-uk Kim *     notice, this list of conditions and the following disclaimer in the    *
16*7bded2dbSJung-uk Kim *     documentation and/or other materials provided with the                 *
17*7bded2dbSJung-uk Kim *     distribution.                                                          *
18*7bded2dbSJung-uk Kim *                                                                            *
19*7bded2dbSJung-uk Kim *  *  Neither the name of the Intel Corporation nor the names of its         *
20*7bded2dbSJung-uk Kim *     contributors may be used to endorse or promote products derived from   *
21*7bded2dbSJung-uk Kim *     this software without specific prior written permission.               *
22*7bded2dbSJung-uk Kim *                                                                            *
23*7bded2dbSJung-uk Kim *                                                                            *
24*7bded2dbSJung-uk Kim *  THIS SOFTWARE IS PROVIDED BY INTEL CORPORATION ""AS IS"" AND ANY          *
25*7bded2dbSJung-uk Kim *  EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE         *
26*7bded2dbSJung-uk Kim *  IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR        *
27*7bded2dbSJung-uk Kim *  PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL CORPORATION OR            *
28*7bded2dbSJung-uk Kim *  CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,     *
29*7bded2dbSJung-uk Kim *  EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,       *
30*7bded2dbSJung-uk Kim *  PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR        *
31*7bded2dbSJung-uk Kim *  PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF    *
32*7bded2dbSJung-uk Kim *  LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING      *
33*7bded2dbSJung-uk Kim *  NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS        *
34*7bded2dbSJung-uk Kim *  SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.              *
35*7bded2dbSJung-uk Kim *                                                                            *
36*7bded2dbSJung-uk Kim ******************************************************************************
37*7bded2dbSJung-uk Kim * Developers and authors:                                                    *
38*7bded2dbSJung-uk Kim * Shay Gueron (1, 2), and Vlad Krasnov (1)                                   *
39*7bded2dbSJung-uk Kim * (1) Intel Corporation, Israel Development Center, Haifa, Israel            *
40*7bded2dbSJung-uk Kim * (2) University of Haifa, Israel                                            *
41*7bded2dbSJung-uk Kim *****************************************************************************/
42*7bded2dbSJung-uk Kim 
43*7bded2dbSJung-uk Kim #include "rsaz_exp.h"
44*7bded2dbSJung-uk Kim 
45*7bded2dbSJung-uk Kim #ifdef RSAZ_ENABLED
46*7bded2dbSJung-uk Kim 
47*7bded2dbSJung-uk Kim /*
48*7bded2dbSJung-uk Kim  * See crypto/bn/asm/rsaz-avx2.pl for further details.
49*7bded2dbSJung-uk Kim  */
50*7bded2dbSJung-uk Kim void rsaz_1024_norm2red_avx2(void *red, const void *norm);
51*7bded2dbSJung-uk Kim void rsaz_1024_mul_avx2(void *ret, const void *a, const void *b,
52*7bded2dbSJung-uk Kim                         const void *n, BN_ULONG k);
53*7bded2dbSJung-uk Kim void rsaz_1024_sqr_avx2(void *ret, const void *a, const void *n, BN_ULONG k,
54*7bded2dbSJung-uk Kim                         int cnt);
55*7bded2dbSJung-uk Kim void rsaz_1024_scatter5_avx2(void *tbl, const void *val, int i);
56*7bded2dbSJung-uk Kim void rsaz_1024_gather5_avx2(void *val, const void *tbl, int i);
57*7bded2dbSJung-uk Kim void rsaz_1024_red2norm_avx2(void *norm, const void *red);
58*7bded2dbSJung-uk Kim 
59*7bded2dbSJung-uk Kim #if defined(__GNUC__)
60*7bded2dbSJung-uk Kim # define ALIGN64        __attribute__((aligned(64)))
61*7bded2dbSJung-uk Kim #elif defined(_MSC_VER)
62*7bded2dbSJung-uk Kim # define ALIGN64        __declspec(align(64))
63*7bded2dbSJung-uk Kim #elif defined(__SUNPRO_C)
64*7bded2dbSJung-uk Kim # define ALIGN64
65*7bded2dbSJung-uk Kim # pragma align 64(one,two80)
66*7bded2dbSJung-uk Kim #else
67*7bded2dbSJung-uk Kim /* not fatal, might hurt performance a little */
68*7bded2dbSJung-uk Kim # define ALIGN64
69*7bded2dbSJung-uk Kim #endif
70*7bded2dbSJung-uk Kim 
71*7bded2dbSJung-uk Kim ALIGN64 static const BN_ULONG one[40] = {
72*7bded2dbSJung-uk Kim     1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
73*7bded2dbSJung-uk Kim     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
74*7bded2dbSJung-uk Kim };
75*7bded2dbSJung-uk Kim 
76*7bded2dbSJung-uk Kim ALIGN64 static const BN_ULONG two80[40] = {
77*7bded2dbSJung-uk Kim     0, 0, 1 << 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
78*7bded2dbSJung-uk Kim     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
79*7bded2dbSJung-uk Kim };
80*7bded2dbSJung-uk Kim 
81*7bded2dbSJung-uk Kim void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
82*7bded2dbSJung-uk Kim                             const BN_ULONG base_norm[16],
83*7bded2dbSJung-uk Kim                             const BN_ULONG exponent[16],
84*7bded2dbSJung-uk Kim                             const BN_ULONG m_norm[16], const BN_ULONG RR[16],
85*7bded2dbSJung-uk Kim                             BN_ULONG k0)
86*7bded2dbSJung-uk Kim {
87*7bded2dbSJung-uk Kim     unsigned char storage[320 * 3 + 32 * 9 * 16 + 64]; /* 5.5KB */
88*7bded2dbSJung-uk Kim     unsigned char *p_str = storage + (64 - ((size_t)storage % 64));
89*7bded2dbSJung-uk Kim     unsigned char *a_inv, *m, *result;
90*7bded2dbSJung-uk Kim     unsigned char *table_s = p_str + 320 * 3;
91*7bded2dbSJung-uk Kim     unsigned char *R2 = table_s; /* borrow */
92*7bded2dbSJung-uk Kim     int index;
93*7bded2dbSJung-uk Kim     int wvalue;
94*7bded2dbSJung-uk Kim 
95*7bded2dbSJung-uk Kim     if ((((size_t)p_str & 4095) + 320) >> 12) {
96*7bded2dbSJung-uk Kim         result = p_str;
97*7bded2dbSJung-uk Kim         a_inv = p_str + 320;
98*7bded2dbSJung-uk Kim         m = p_str + 320 * 2;    /* should not cross page */
99*7bded2dbSJung-uk Kim     } else {
100*7bded2dbSJung-uk Kim         m = p_str;              /* should not cross page */
101*7bded2dbSJung-uk Kim         result = p_str + 320;
102*7bded2dbSJung-uk Kim         a_inv = p_str + 320 * 2;
103*7bded2dbSJung-uk Kim     }
104*7bded2dbSJung-uk Kim 
105*7bded2dbSJung-uk Kim     rsaz_1024_norm2red_avx2(m, m_norm);
106*7bded2dbSJung-uk Kim     rsaz_1024_norm2red_avx2(a_inv, base_norm);
107*7bded2dbSJung-uk Kim     rsaz_1024_norm2red_avx2(R2, RR);
108*7bded2dbSJung-uk Kim 
109*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
110*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
111*7bded2dbSJung-uk Kim 
112*7bded2dbSJung-uk Kim     /* table[0] = 1 */
113*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, R2, one, m, k0);
114*7bded2dbSJung-uk Kim     /* table[1] = a_inv^1 */
115*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
116*7bded2dbSJung-uk Kim 
117*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 0);
118*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, a_inv, 1);
119*7bded2dbSJung-uk Kim 
120*7bded2dbSJung-uk Kim     /* table[2] = a_inv^2 */
121*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
122*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 2);
123*7bded2dbSJung-uk Kim #if 0
124*7bded2dbSJung-uk Kim     /* this is almost 2x smaller and less than 1% slower */
125*7bded2dbSJung-uk Kim     for (index = 3; index < 32; index++) {
126*7bded2dbSJung-uk Kim         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
127*7bded2dbSJung-uk Kim         rsaz_1024_scatter5_avx2(table_s, result, index);
128*7bded2dbSJung-uk Kim     }
129*7bded2dbSJung-uk Kim #else
130*7bded2dbSJung-uk Kim     /* table[4] = a_inv^4 */
131*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
132*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 4);
133*7bded2dbSJung-uk Kim     /* table[8] = a_inv^8 */
134*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
135*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 8);
136*7bded2dbSJung-uk Kim     /* table[16] = a_inv^16 */
137*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
138*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 16);
139*7bded2dbSJung-uk Kim     /* table[17] = a_inv^17 */
140*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
141*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 17);
142*7bded2dbSJung-uk Kim 
143*7bded2dbSJung-uk Kim     /* table[3] */
144*7bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 2);
145*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
146*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 3);
147*7bded2dbSJung-uk Kim     /* table[6] */
148*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
149*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 6);
150*7bded2dbSJung-uk Kim     /* table[12] */
151*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
152*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 12);
153*7bded2dbSJung-uk Kim     /* table[24] */
154*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
155*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 24);
156*7bded2dbSJung-uk Kim     /* table[25] */
157*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
158*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 25);
159*7bded2dbSJung-uk Kim 
160*7bded2dbSJung-uk Kim     /* table[5] */
161*7bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 4);
162*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
163*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 5);
164*7bded2dbSJung-uk Kim     /* table[10] */
165*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
166*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 10);
167*7bded2dbSJung-uk Kim     /* table[20] */
168*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
169*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 20);
170*7bded2dbSJung-uk Kim     /* table[21] */
171*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
172*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 21);
173*7bded2dbSJung-uk Kim 
174*7bded2dbSJung-uk Kim     /* table[7] */
175*7bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 6);
176*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
177*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 7);
178*7bded2dbSJung-uk Kim     /* table[14] */
179*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
180*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 14);
181*7bded2dbSJung-uk Kim     /* table[28] */
182*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
183*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 28);
184*7bded2dbSJung-uk Kim     /* table[29] */
185*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
186*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 29);
187*7bded2dbSJung-uk Kim 
188*7bded2dbSJung-uk Kim     /* table[9] */
189*7bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 8);
190*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
191*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 9);
192*7bded2dbSJung-uk Kim     /* table[18] */
193*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
194*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 18);
195*7bded2dbSJung-uk Kim     /* table[19] */
196*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
197*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 19);
198*7bded2dbSJung-uk Kim 
199*7bded2dbSJung-uk Kim     /* table[11] */
200*7bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 10);
201*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
202*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 11);
203*7bded2dbSJung-uk Kim     /* table[22] */
204*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
205*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 22);
206*7bded2dbSJung-uk Kim     /* table[23] */
207*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
208*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 23);
209*7bded2dbSJung-uk Kim 
210*7bded2dbSJung-uk Kim     /* table[13] */
211*7bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 12);
212*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
213*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 13);
214*7bded2dbSJung-uk Kim     /* table[26] */
215*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
216*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 26);
217*7bded2dbSJung-uk Kim     /* table[27] */
218*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
219*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 27);
220*7bded2dbSJung-uk Kim 
221*7bded2dbSJung-uk Kim     /* table[15] */
222*7bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 14);
223*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
224*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 15);
225*7bded2dbSJung-uk Kim     /* table[30] */
226*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
227*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 30);
228*7bded2dbSJung-uk Kim     /* table[31] */
229*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
230*7bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 31);
231*7bded2dbSJung-uk Kim #endif
232*7bded2dbSJung-uk Kim 
233*7bded2dbSJung-uk Kim     /* load first window */
234*7bded2dbSJung-uk Kim     p_str = (unsigned char *)exponent;
235*7bded2dbSJung-uk Kim     wvalue = p_str[127] >> 3;
236*7bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, wvalue);
237*7bded2dbSJung-uk Kim 
238*7bded2dbSJung-uk Kim     index = 1014;
239*7bded2dbSJung-uk Kim 
240*7bded2dbSJung-uk Kim     while (index > -1) {        /* loop for the remaining 127 windows */
241*7bded2dbSJung-uk Kim 
242*7bded2dbSJung-uk Kim         rsaz_1024_sqr_avx2(result, result, m, k0, 5);
243*7bded2dbSJung-uk Kim 
244*7bded2dbSJung-uk Kim         wvalue = *((unsigned short *)&p_str[index / 8]);
245*7bded2dbSJung-uk Kim         wvalue = (wvalue >> (index % 8)) & 31;
246*7bded2dbSJung-uk Kim         index -= 5;
247*7bded2dbSJung-uk Kim 
248*7bded2dbSJung-uk Kim         rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
249*7bded2dbSJung-uk Kim         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
250*7bded2dbSJung-uk Kim     }
251*7bded2dbSJung-uk Kim 
252*7bded2dbSJung-uk Kim     /* square four times */
253*7bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 4);
254*7bded2dbSJung-uk Kim 
255*7bded2dbSJung-uk Kim     wvalue = p_str[0] & 15;
256*7bded2dbSJung-uk Kim 
257*7bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
258*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
259*7bded2dbSJung-uk Kim 
260*7bded2dbSJung-uk Kim     /* from Montgomery */
261*7bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, one, m, k0);
262*7bded2dbSJung-uk Kim 
263*7bded2dbSJung-uk Kim     rsaz_1024_red2norm_avx2(result_norm, result);
264*7bded2dbSJung-uk Kim 
265*7bded2dbSJung-uk Kim     OPENSSL_cleanse(storage, sizeof(storage));
266*7bded2dbSJung-uk Kim }
267*7bded2dbSJung-uk Kim 
268*7bded2dbSJung-uk Kim /*
269*7bded2dbSJung-uk Kim  * See crypto/bn/rsaz-x86_64.pl for further details.
270*7bded2dbSJung-uk Kim  */
271*7bded2dbSJung-uk Kim void rsaz_512_mul(void *ret, const void *a, const void *b, const void *n,
272*7bded2dbSJung-uk Kim                   BN_ULONG k);
273*7bded2dbSJung-uk Kim void rsaz_512_mul_scatter4(void *ret, const void *a, const void *n,
274*7bded2dbSJung-uk Kim                            BN_ULONG k, const void *tbl, unsigned int power);
275*7bded2dbSJung-uk Kim void rsaz_512_mul_gather4(void *ret, const void *a, const void *tbl,
276*7bded2dbSJung-uk Kim                           const void *n, BN_ULONG k, unsigned int power);
277*7bded2dbSJung-uk Kim void rsaz_512_mul_by_one(void *ret, const void *a, const void *n, BN_ULONG k);
278*7bded2dbSJung-uk Kim void rsaz_512_sqr(void *ret, const void *a, const void *n, BN_ULONG k,
279*7bded2dbSJung-uk Kim                   int cnt);
280*7bded2dbSJung-uk Kim void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
281*7bded2dbSJung-uk Kim void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
282*7bded2dbSJung-uk Kim 
283*7bded2dbSJung-uk Kim void RSAZ_512_mod_exp(BN_ULONG result[8],
284*7bded2dbSJung-uk Kim                       const BN_ULONG base[8], const BN_ULONG exponent[8],
285*7bded2dbSJung-uk Kim                       const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
286*7bded2dbSJung-uk Kim {
287*7bded2dbSJung-uk Kim     unsigned char storage[16 * 8 * 8 + 64 * 2 + 64]; /* 1.2KB */
288*7bded2dbSJung-uk Kim     unsigned char *table = storage + (64 - ((size_t)storage % 64));
289*7bded2dbSJung-uk Kim     BN_ULONG *a_inv = (BN_ULONG *)(table + 16 * 8 * 8);
290*7bded2dbSJung-uk Kim     BN_ULONG *temp = (BN_ULONG *)(table + 16 * 8 * 8 + 8 * 8);
291*7bded2dbSJung-uk Kim     unsigned char *p_str = (unsigned char *)exponent;
292*7bded2dbSJung-uk Kim     int index;
293*7bded2dbSJung-uk Kim     unsigned int wvalue;
294*7bded2dbSJung-uk Kim 
295*7bded2dbSJung-uk Kim     /* table[0] = 1_inv */
296*7bded2dbSJung-uk Kim     temp[0] = 0 - m[0];
297*7bded2dbSJung-uk Kim     temp[1] = ~m[1];
298*7bded2dbSJung-uk Kim     temp[2] = ~m[2];
299*7bded2dbSJung-uk Kim     temp[3] = ~m[3];
300*7bded2dbSJung-uk Kim     temp[4] = ~m[4];
301*7bded2dbSJung-uk Kim     temp[5] = ~m[5];
302*7bded2dbSJung-uk Kim     temp[6] = ~m[6];
303*7bded2dbSJung-uk Kim     temp[7] = ~m[7];
304*7bded2dbSJung-uk Kim     rsaz_512_scatter4(table, temp, 0);
305*7bded2dbSJung-uk Kim 
306*7bded2dbSJung-uk Kim     /* table [1] = a_inv^1 */
307*7bded2dbSJung-uk Kim     rsaz_512_mul(a_inv, base, RR, m, k0);
308*7bded2dbSJung-uk Kim     rsaz_512_scatter4(table, a_inv, 1);
309*7bded2dbSJung-uk Kim 
310*7bded2dbSJung-uk Kim     /* table [2] = a_inv^2 */
311*7bded2dbSJung-uk Kim     rsaz_512_sqr(temp, a_inv, m, k0, 1);
312*7bded2dbSJung-uk Kim     rsaz_512_scatter4(table, temp, 2);
313*7bded2dbSJung-uk Kim 
314*7bded2dbSJung-uk Kim     for (index = 3; index < 16; index++)
315*7bded2dbSJung-uk Kim         rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
316*7bded2dbSJung-uk Kim 
317*7bded2dbSJung-uk Kim     /* load first window */
318*7bded2dbSJung-uk Kim     wvalue = p_str[63];
319*7bded2dbSJung-uk Kim 
320*7bded2dbSJung-uk Kim     rsaz_512_gather4(temp, table, wvalue >> 4);
321*7bded2dbSJung-uk Kim     rsaz_512_sqr(temp, temp, m, k0, 4);
322*7bded2dbSJung-uk Kim     rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0xf);
323*7bded2dbSJung-uk Kim 
324*7bded2dbSJung-uk Kim     for (index = 62; index >= 0; index--) {
325*7bded2dbSJung-uk Kim         wvalue = p_str[index];
326*7bded2dbSJung-uk Kim 
327*7bded2dbSJung-uk Kim         rsaz_512_sqr(temp, temp, m, k0, 4);
328*7bded2dbSJung-uk Kim         rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue >> 4);
329*7bded2dbSJung-uk Kim 
330*7bded2dbSJung-uk Kim         rsaz_512_sqr(temp, temp, m, k0, 4);
331*7bded2dbSJung-uk Kim         rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0x0f);
332*7bded2dbSJung-uk Kim     }
333*7bded2dbSJung-uk Kim 
334*7bded2dbSJung-uk Kim     /* from Montgomery */
335*7bded2dbSJung-uk Kim     rsaz_512_mul_by_one(result, temp, m, k0);
336*7bded2dbSJung-uk Kim 
337*7bded2dbSJung-uk Kim     OPENSSL_cleanse(storage, sizeof(storage));
338*7bded2dbSJung-uk Kim }
339*7bded2dbSJung-uk Kim 
340*7bded2dbSJung-uk Kim #else
341*7bded2dbSJung-uk Kim 
342*7bded2dbSJung-uk Kim # if defined(PEDANTIC) || defined(__DECC) || defined(__clang__)
343*7bded2dbSJung-uk Kim static void *dummy = &dummy;
344*7bded2dbSJung-uk Kim # endif
345*7bded2dbSJung-uk Kim 
346*7bded2dbSJung-uk Kim #endif
347