xref: /freebsd/crypto/openssl/crypto/bn/rsaz_exp.c (revision b077aed33b7b6aefca7b17ddb250cf521f938613)
1e71b7053SJung-uk Kim /*
283eaf7aeSJung-uk Kim  * Copyright 2013-2022 The OpenSSL Project Authors. All Rights Reserved.
3e71b7053SJung-uk Kim  * Copyright (c) 2012, Intel Corporation. All Rights Reserved.
4e71b7053SJung-uk Kim  *
5*b077aed3SPierre Pronchery  * Licensed under the Apache License 2.0 (the "License").  You may not use
6e71b7053SJung-uk Kim  * this file except in compliance with the License.  You can obtain a copy
7e71b7053SJung-uk Kim  * in the file LICENSE in the source distribution or at
8e71b7053SJung-uk Kim  * https://www.openssl.org/source/license.html
9e71b7053SJung-uk Kim  *
10e71b7053SJung-uk Kim  * Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1)
11e71b7053SJung-uk Kim  * (1) Intel Corporation, Israel Development Center, Haifa, Israel
12e71b7053SJung-uk Kim  * (2) University of Haifa, Israel
13e71b7053SJung-uk Kim  */
147bded2dbSJung-uk Kim 
15e71b7053SJung-uk Kim #include <openssl/opensslconf.h>
167bded2dbSJung-uk Kim #include "rsaz_exp.h"
177bded2dbSJung-uk Kim 
18e71b7053SJung-uk Kim #ifndef RSAZ_ENABLED
19e71b7053SJung-uk Kim NON_EMPTY_TRANSLATION_UNIT
20e71b7053SJung-uk Kim #else
217bded2dbSJung-uk Kim 
227bded2dbSJung-uk Kim /*
237bded2dbSJung-uk Kim  * See crypto/bn/asm/rsaz-avx2.pl for further details.
247bded2dbSJung-uk Kim  */
257bded2dbSJung-uk Kim void rsaz_1024_norm2red_avx2(void *red, const void *norm);
267bded2dbSJung-uk Kim void rsaz_1024_mul_avx2(void *ret, const void *a, const void *b,
277bded2dbSJung-uk Kim                         const void *n, BN_ULONG k);
287bded2dbSJung-uk Kim void rsaz_1024_sqr_avx2(void *ret, const void *a, const void *n, BN_ULONG k,
297bded2dbSJung-uk Kim                         int cnt);
307bded2dbSJung-uk Kim void rsaz_1024_scatter5_avx2(void *tbl, const void *val, int i);
317bded2dbSJung-uk Kim void rsaz_1024_gather5_avx2(void *val, const void *tbl, int i);
327bded2dbSJung-uk Kim void rsaz_1024_red2norm_avx2(void *norm, const void *red);
337bded2dbSJung-uk Kim 
347bded2dbSJung-uk Kim #if defined(__GNUC__)
357bded2dbSJung-uk Kim # define ALIGN64        __attribute__((aligned(64)))
367bded2dbSJung-uk Kim #elif defined(_MSC_VER)
377bded2dbSJung-uk Kim # define ALIGN64        __declspec(align(64))
387bded2dbSJung-uk Kim #elif defined(__SUNPRO_C)
397bded2dbSJung-uk Kim # define ALIGN64
407bded2dbSJung-uk Kim # pragma align 64(one,two80)
417bded2dbSJung-uk Kim #else
427bded2dbSJung-uk Kim /* not fatal, might hurt performance a little */
437bded2dbSJung-uk Kim # define ALIGN64
447bded2dbSJung-uk Kim #endif
457bded2dbSJung-uk Kim 
467bded2dbSJung-uk Kim ALIGN64 static const BN_ULONG one[40] = {
477bded2dbSJung-uk Kim     1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
487bded2dbSJung-uk Kim     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
497bded2dbSJung-uk Kim };
507bded2dbSJung-uk Kim 
517bded2dbSJung-uk Kim ALIGN64 static const BN_ULONG two80[40] = {
527bded2dbSJung-uk Kim     0, 0, 1 << 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
537bded2dbSJung-uk Kim     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
547bded2dbSJung-uk Kim };
557bded2dbSJung-uk Kim 
567bded2dbSJung-uk Kim void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
577bded2dbSJung-uk Kim                             const BN_ULONG base_norm[16],
587bded2dbSJung-uk Kim                             const BN_ULONG exponent[16],
597bded2dbSJung-uk Kim                             const BN_ULONG m_norm[16], const BN_ULONG RR[16],
607bded2dbSJung-uk Kim                             BN_ULONG k0)
617bded2dbSJung-uk Kim {
627bded2dbSJung-uk Kim     unsigned char storage[320 * 3 + 32 * 9 * 16 + 64]; /* 5.5KB */
637bded2dbSJung-uk Kim     unsigned char *p_str = storage + (64 - ((size_t)storage % 64));
647bded2dbSJung-uk Kim     unsigned char *a_inv, *m, *result;
657bded2dbSJung-uk Kim     unsigned char *table_s = p_str + 320 * 3;
667bded2dbSJung-uk Kim     unsigned char *R2 = table_s; /* borrow */
677bded2dbSJung-uk Kim     int index;
687bded2dbSJung-uk Kim     int wvalue;
6983eaf7aeSJung-uk Kim     BN_ULONG tmp[16];
707bded2dbSJung-uk Kim 
717bded2dbSJung-uk Kim     if ((((size_t)p_str & 4095) + 320) >> 12) {
727bded2dbSJung-uk Kim         result = p_str;
737bded2dbSJung-uk Kim         a_inv = p_str + 320;
747bded2dbSJung-uk Kim         m = p_str + 320 * 2;    /* should not cross page */
757bded2dbSJung-uk Kim     } else {
767bded2dbSJung-uk Kim         m = p_str;              /* should not cross page */
777bded2dbSJung-uk Kim         result = p_str + 320;
787bded2dbSJung-uk Kim         a_inv = p_str + 320 * 2;
797bded2dbSJung-uk Kim     }
807bded2dbSJung-uk Kim 
817bded2dbSJung-uk Kim     rsaz_1024_norm2red_avx2(m, m_norm);
827bded2dbSJung-uk Kim     rsaz_1024_norm2red_avx2(a_inv, base_norm);
837bded2dbSJung-uk Kim     rsaz_1024_norm2red_avx2(R2, RR);
847bded2dbSJung-uk Kim 
857bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
867bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
877bded2dbSJung-uk Kim 
887bded2dbSJung-uk Kim     /* table[0] = 1 */
897bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, R2, one, m, k0);
907bded2dbSJung-uk Kim     /* table[1] = a_inv^1 */
917bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
927bded2dbSJung-uk Kim 
937bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 0);
947bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, a_inv, 1);
957bded2dbSJung-uk Kim 
967bded2dbSJung-uk Kim     /* table[2] = a_inv^2 */
977bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
987bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 2);
997bded2dbSJung-uk Kim #if 0
1007bded2dbSJung-uk Kim     /* this is almost 2x smaller and less than 1% slower */
1017bded2dbSJung-uk Kim     for (index = 3; index < 32; index++) {
1027bded2dbSJung-uk Kim         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1037bded2dbSJung-uk Kim         rsaz_1024_scatter5_avx2(table_s, result, index);
1047bded2dbSJung-uk Kim     }
1057bded2dbSJung-uk Kim #else
1067bded2dbSJung-uk Kim     /* table[4] = a_inv^4 */
1077bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1087bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 4);
1097bded2dbSJung-uk Kim     /* table[8] = a_inv^8 */
1107bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1117bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 8);
1127bded2dbSJung-uk Kim     /* table[16] = a_inv^16 */
1137bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1147bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 16);
1157bded2dbSJung-uk Kim     /* table[17] = a_inv^17 */
1167bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1177bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 17);
1187bded2dbSJung-uk Kim 
1197bded2dbSJung-uk Kim     /* table[3] */
1207bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 2);
1217bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1227bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 3);
1237bded2dbSJung-uk Kim     /* table[6] */
1247bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1257bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 6);
1267bded2dbSJung-uk Kim     /* table[12] */
1277bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1287bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 12);
1297bded2dbSJung-uk Kim     /* table[24] */
1307bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1317bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 24);
1327bded2dbSJung-uk Kim     /* table[25] */
1337bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1347bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 25);
1357bded2dbSJung-uk Kim 
1367bded2dbSJung-uk Kim     /* table[5] */
1377bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 4);
1387bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1397bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 5);
1407bded2dbSJung-uk Kim     /* table[10] */
1417bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1427bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 10);
1437bded2dbSJung-uk Kim     /* table[20] */
1447bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1457bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 20);
1467bded2dbSJung-uk Kim     /* table[21] */
1477bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1487bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 21);
1497bded2dbSJung-uk Kim 
1507bded2dbSJung-uk Kim     /* table[7] */
1517bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 6);
1527bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1537bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 7);
1547bded2dbSJung-uk Kim     /* table[14] */
1557bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1567bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 14);
1577bded2dbSJung-uk Kim     /* table[28] */
1587bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1597bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 28);
1607bded2dbSJung-uk Kim     /* table[29] */
1617bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1627bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 29);
1637bded2dbSJung-uk Kim 
1647bded2dbSJung-uk Kim     /* table[9] */
1657bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 8);
1667bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1677bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 9);
1687bded2dbSJung-uk Kim     /* table[18] */
1697bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1707bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 18);
1717bded2dbSJung-uk Kim     /* table[19] */
1727bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1737bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 19);
1747bded2dbSJung-uk Kim 
1757bded2dbSJung-uk Kim     /* table[11] */
1767bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 10);
1777bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1787bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 11);
1797bded2dbSJung-uk Kim     /* table[22] */
1807bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1817bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 22);
1827bded2dbSJung-uk Kim     /* table[23] */
1837bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1847bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 23);
1857bded2dbSJung-uk Kim 
1867bded2dbSJung-uk Kim     /* table[13] */
1877bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 12);
1887bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1897bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 13);
1907bded2dbSJung-uk Kim     /* table[26] */
1917bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
1927bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 26);
1937bded2dbSJung-uk Kim     /* table[27] */
1947bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
1957bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 27);
1967bded2dbSJung-uk Kim 
1977bded2dbSJung-uk Kim     /* table[15] */
1987bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, 14);
1997bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
2007bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 15);
2017bded2dbSJung-uk Kim     /* table[30] */
2027bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 1);
2037bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 30);
2047bded2dbSJung-uk Kim     /* table[31] */
2057bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
2067bded2dbSJung-uk Kim     rsaz_1024_scatter5_avx2(table_s, result, 31);
2077bded2dbSJung-uk Kim #endif
2087bded2dbSJung-uk Kim 
2097bded2dbSJung-uk Kim     /* load first window */
2107bded2dbSJung-uk Kim     p_str = (unsigned char *)exponent;
2117bded2dbSJung-uk Kim     wvalue = p_str[127] >> 3;
2127bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(result, table_s, wvalue);
2137bded2dbSJung-uk Kim 
2147bded2dbSJung-uk Kim     index = 1014;
2157bded2dbSJung-uk Kim 
2167bded2dbSJung-uk Kim     while (index > -1) {        /* loop for the remaining 127 windows */
2177bded2dbSJung-uk Kim 
2187bded2dbSJung-uk Kim         rsaz_1024_sqr_avx2(result, result, m, k0, 5);
2197bded2dbSJung-uk Kim 
220e71b7053SJung-uk Kim         wvalue = (p_str[(index / 8) + 1] << 8) | p_str[index / 8];
2217bded2dbSJung-uk Kim         wvalue = (wvalue >> (index % 8)) & 31;
2227bded2dbSJung-uk Kim         index -= 5;
2237bded2dbSJung-uk Kim 
2247bded2dbSJung-uk Kim         rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
2257bded2dbSJung-uk Kim         rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
2267bded2dbSJung-uk Kim     }
2277bded2dbSJung-uk Kim 
2287bded2dbSJung-uk Kim     /* square four times */
2297bded2dbSJung-uk Kim     rsaz_1024_sqr_avx2(result, result, m, k0, 4);
2307bded2dbSJung-uk Kim 
2317bded2dbSJung-uk Kim     wvalue = p_str[0] & 15;
2327bded2dbSJung-uk Kim 
2337bded2dbSJung-uk Kim     rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
2347bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
2357bded2dbSJung-uk Kim 
2367bded2dbSJung-uk Kim     /* from Montgomery */
2377bded2dbSJung-uk Kim     rsaz_1024_mul_avx2(result, result, one, m, k0);
2387bded2dbSJung-uk Kim 
2397bded2dbSJung-uk Kim     rsaz_1024_red2norm_avx2(result_norm, result);
2407bded2dbSJung-uk Kim 
24183eaf7aeSJung-uk Kim     bn_reduce_once_in_place(result_norm, /*carry=*/0, m_norm, tmp, 16);
24283eaf7aeSJung-uk Kim 
2437bded2dbSJung-uk Kim     OPENSSL_cleanse(storage, sizeof(storage));
24483eaf7aeSJung-uk Kim     OPENSSL_cleanse(tmp, sizeof(tmp));
2457bded2dbSJung-uk Kim }
2467bded2dbSJung-uk Kim 
2477bded2dbSJung-uk Kim /*
2487bded2dbSJung-uk Kim  * See crypto/bn/rsaz-x86_64.pl for further details.
2497bded2dbSJung-uk Kim  */
2507bded2dbSJung-uk Kim void rsaz_512_mul(void *ret, const void *a, const void *b, const void *n,
2517bded2dbSJung-uk Kim                   BN_ULONG k);
2527bded2dbSJung-uk Kim void rsaz_512_mul_scatter4(void *ret, const void *a, const void *n,
2537bded2dbSJung-uk Kim                            BN_ULONG k, const void *tbl, unsigned int power);
2547bded2dbSJung-uk Kim void rsaz_512_mul_gather4(void *ret, const void *a, const void *tbl,
2557bded2dbSJung-uk Kim                           const void *n, BN_ULONG k, unsigned int power);
2567bded2dbSJung-uk Kim void rsaz_512_mul_by_one(void *ret, const void *a, const void *n, BN_ULONG k);
2577bded2dbSJung-uk Kim void rsaz_512_sqr(void *ret, const void *a, const void *n, BN_ULONG k,
2587bded2dbSJung-uk Kim                   int cnt);
2597bded2dbSJung-uk Kim void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
2607bded2dbSJung-uk Kim void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
2617bded2dbSJung-uk Kim 
2627bded2dbSJung-uk Kim void RSAZ_512_mod_exp(BN_ULONG result[8],
2637bded2dbSJung-uk Kim                       const BN_ULONG base[8], const BN_ULONG exponent[8],
2647bded2dbSJung-uk Kim                       const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
2657bded2dbSJung-uk Kim {
2667bded2dbSJung-uk Kim     unsigned char storage[16 * 8 * 8 + 64 * 2 + 64]; /* 1.2KB */
2677bded2dbSJung-uk Kim     unsigned char *table = storage + (64 - ((size_t)storage % 64));
2687bded2dbSJung-uk Kim     BN_ULONG *a_inv = (BN_ULONG *)(table + 16 * 8 * 8);
2697bded2dbSJung-uk Kim     BN_ULONG *temp = (BN_ULONG *)(table + 16 * 8 * 8 + 8 * 8);
2707bded2dbSJung-uk Kim     unsigned char *p_str = (unsigned char *)exponent;
2717bded2dbSJung-uk Kim     int index;
2727bded2dbSJung-uk Kim     unsigned int wvalue;
27383eaf7aeSJung-uk Kim     BN_ULONG tmp[8];
2747bded2dbSJung-uk Kim 
2757bded2dbSJung-uk Kim     /* table[0] = 1_inv */
2767bded2dbSJung-uk Kim     temp[0] = 0 - m[0];
2777bded2dbSJung-uk Kim     temp[1] = ~m[1];
2787bded2dbSJung-uk Kim     temp[2] = ~m[2];
2797bded2dbSJung-uk Kim     temp[3] = ~m[3];
2807bded2dbSJung-uk Kim     temp[4] = ~m[4];
2817bded2dbSJung-uk Kim     temp[5] = ~m[5];
2827bded2dbSJung-uk Kim     temp[6] = ~m[6];
2837bded2dbSJung-uk Kim     temp[7] = ~m[7];
2847bded2dbSJung-uk Kim     rsaz_512_scatter4(table, temp, 0);
2857bded2dbSJung-uk Kim 
2867bded2dbSJung-uk Kim     /* table [1] = a_inv^1 */
2877bded2dbSJung-uk Kim     rsaz_512_mul(a_inv, base, RR, m, k0);
2887bded2dbSJung-uk Kim     rsaz_512_scatter4(table, a_inv, 1);
2897bded2dbSJung-uk Kim 
2907bded2dbSJung-uk Kim     /* table [2] = a_inv^2 */
2917bded2dbSJung-uk Kim     rsaz_512_sqr(temp, a_inv, m, k0, 1);
2927bded2dbSJung-uk Kim     rsaz_512_scatter4(table, temp, 2);
2937bded2dbSJung-uk Kim 
2947bded2dbSJung-uk Kim     for (index = 3; index < 16; index++)
2957bded2dbSJung-uk Kim         rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
2967bded2dbSJung-uk Kim 
2977bded2dbSJung-uk Kim     /* load first window */
2987bded2dbSJung-uk Kim     wvalue = p_str[63];
2997bded2dbSJung-uk Kim 
3007bded2dbSJung-uk Kim     rsaz_512_gather4(temp, table, wvalue >> 4);
3017bded2dbSJung-uk Kim     rsaz_512_sqr(temp, temp, m, k0, 4);
3027bded2dbSJung-uk Kim     rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0xf);
3037bded2dbSJung-uk Kim 
3047bded2dbSJung-uk Kim     for (index = 62; index >= 0; index--) {
3057bded2dbSJung-uk Kim         wvalue = p_str[index];
3067bded2dbSJung-uk Kim 
3077bded2dbSJung-uk Kim         rsaz_512_sqr(temp, temp, m, k0, 4);
3087bded2dbSJung-uk Kim         rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue >> 4);
3097bded2dbSJung-uk Kim 
3107bded2dbSJung-uk Kim         rsaz_512_sqr(temp, temp, m, k0, 4);
3117bded2dbSJung-uk Kim         rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0x0f);
3127bded2dbSJung-uk Kim     }
3137bded2dbSJung-uk Kim 
3147bded2dbSJung-uk Kim     /* from Montgomery */
3157bded2dbSJung-uk Kim     rsaz_512_mul_by_one(result, temp, m, k0);
3167bded2dbSJung-uk Kim 
31783eaf7aeSJung-uk Kim     bn_reduce_once_in_place(result, /*carry=*/0, m, tmp, 8);
31883eaf7aeSJung-uk Kim 
3197bded2dbSJung-uk Kim     OPENSSL_cleanse(storage, sizeof(storage));
32083eaf7aeSJung-uk Kim     OPENSSL_cleanse(tmp, sizeof(tmp));
3217bded2dbSJung-uk Kim }
3227bded2dbSJung-uk Kim 
3237bded2dbSJung-uk Kim #endif
324