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- /*
- * Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
- * Copyright (c) 2012, Intel Corporation. All Rights Reserved.
- *
- * Licensed under the OpenSSL license (the "License"). You may not use
- * this file except in compliance with the License. You can obtain a copy
- * in the file LICENSE in the source distribution or at
- * https://www.openssl.org/source/license.html
- *
- * Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1)
- * (1) Intel Corporation, Israel Development Center, Haifa, Israel
- * (2) University of Haifa, Israel
- */
- #include <openssl/base.h>
- #if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64)
- #include "rsaz_exp.h"
- #include <openssl/mem.h>
- #include "../../internal.h"
- // See crypto/bn/asm/rsaz-avx2.pl for further details.
- void rsaz_1024_norm2red_avx2(void *red, const void *norm);
- void rsaz_1024_mul_avx2(void *ret, const void *a, const void *b, const void *n,
- BN_ULONG k);
- void rsaz_1024_sqr_avx2(void *ret, const void *a, const void *n, BN_ULONG k,
- int cnt);
- void rsaz_1024_scatter5_avx2(void *tbl, const void *val, int i);
- void rsaz_1024_gather5_avx2(void *val, const void *tbl, int i);
- void rsaz_1024_red2norm_avx2(void *norm, const void *red);
- // one is 1 in RSAZ's representation.
- alignas(64) static const BN_ULONG one[40] = {
- 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};
- // two80 is 2^80 in RSAZ's representation. Note RSAZ uses base 2^29, so this is
- // 2^(29*2 + 22) = 2^80, not 2^(64*2 + 22).
- alignas(64) static const BN_ULONG two80[40] = {
- 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};
- void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
- const BN_ULONG base_norm[16], const BN_ULONG exponent[16],
- const BN_ULONG m_norm[16], const BN_ULONG RR[16], BN_ULONG k0) {
- alignas(64) uint8_t storage[(320 * 3) + (32 * 9 * 16)]; // 5.5KB
- unsigned char *a_inv, *m, *result, *table_s = storage + (320 * 3),
- *R2 = table_s; // borrow
- if (((((uintptr_t)storage & 4095) + 320) >> 12) != 0) {
- result = storage;
- a_inv = storage + 320;
- m = storage + (320 * 2); // should not cross page
- } else {
- m = storage; // should not cross page
- result = storage + 320;
- a_inv = storage + (320 * 2);
- }
- rsaz_1024_norm2red_avx2(m, m_norm);
- rsaz_1024_norm2red_avx2(a_inv, base_norm);
- rsaz_1024_norm2red_avx2(R2, RR);
- // Convert |R2| from the usual radix, giving R = 2^1024, to RSAZ's radix,
- // giving R = 2^(36*29) = 2^1044.
- rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
- // R2 = 2^2048 * 2^2048 / 2^1044 = 2^3052
- rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
- // R2 = 2^3052 * 2^80 / 2^1044 = 2^2088 = (2^1044)^2
- // table[0] = 1
- rsaz_1024_mul_avx2(result, R2, one, m, k0);
- // table[1] = a_inv^1
- rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 0);
- rsaz_1024_scatter5_avx2(table_s, a_inv, 1);
- // table[2] = a_inv^2
- rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 2);
- #if 0
- // This is almost 2x smaller and less than 1% slower.
- for (int index = 3; index < 32; index++) {
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, index);
- }
- #else
- // table[4] = a_inv^4
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 4);
- // table[8] = a_inv^8
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 8);
- // table[16] = a_inv^16
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 16);
- // table[17] = a_inv^17
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 17);
- // table[3]
- rsaz_1024_gather5_avx2(result, table_s, 2);
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 3);
- // table[6]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 6);
- // table[12]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 12);
- // table[24]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 24);
- // table[25]
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 25);
- // table[5]
- rsaz_1024_gather5_avx2(result, table_s, 4);
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 5);
- // table[10]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 10);
- // table[20]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 20);
- // table[21]
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 21);
- // table[7]
- rsaz_1024_gather5_avx2(result, table_s, 6);
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 7);
- // table[14]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 14);
- // table[28]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 28);
- // table[29]
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 29);
- // table[9]
- rsaz_1024_gather5_avx2(result, table_s, 8);
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 9);
- // table[18]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 18);
- // table[19]
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 19);
- // table[11]
- rsaz_1024_gather5_avx2(result, table_s, 10);
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 11);
- // table[22]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 22);
- // table[23]
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 23);
- // table[13]
- rsaz_1024_gather5_avx2(result, table_s, 12);
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 13);
- // table[26]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 26);
- // table[27]
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 27);
- // table[15]
- rsaz_1024_gather5_avx2(result, table_s, 14);
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 15);
- // table[30]
- rsaz_1024_sqr_avx2(result, result, m, k0, 1);
- rsaz_1024_scatter5_avx2(table_s, result, 30);
- // table[31]
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- rsaz_1024_scatter5_avx2(table_s, result, 31);
- #endif
- const uint8_t *p_str = (const uint8_t *)exponent;
- // load first window
- int wvalue = p_str[127] >> 3;
- rsaz_1024_gather5_avx2(result, table_s, wvalue);
- int index = 1014;
- while (index > -1) { // Loop for the remaining 127 windows.
- rsaz_1024_sqr_avx2(result, result, m, k0, 5);
- uint16_t wvalue_16;
- memcpy(&wvalue_16, &p_str[index / 8], sizeof(wvalue_16));
- wvalue = wvalue_16;
- wvalue = (wvalue >> (index % 8)) & 31;
- index -= 5;
- rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); // Borrow |a_inv|.
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- }
- // Square four times.
- rsaz_1024_sqr_avx2(result, result, m, k0, 4);
- wvalue = p_str[0] & 15;
- rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); // Borrow |a_inv|.
- rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
- // Convert from Montgomery.
- rsaz_1024_mul_avx2(result, result, one, m, k0);
- rsaz_1024_red2norm_avx2(result_norm, result);
- OPENSSL_cleanse(storage, sizeof(storage));
- }
- #endif // OPENSSL_X86_64
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