/* * Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved. * Copyright (c) 2012, Intel Corporation. All Rights Reserved. * * Licensed under the Apache License 2.0 (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 #include "rsaz_exp.h" #ifndef RSAZ_ENABLED NON_EMPTY_TRANSLATION_UNIT #else /* * 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); #if defined(__GNUC__) # define ALIGN64 __attribute__((aligned(64))) #elif defined(_MSC_VER) # define ALIGN64 __declspec(align(64)) #elif defined(__SUNPRO_C) # define ALIGN64 # pragma align 64(one,two80) #else /* not fatal, might hurt performance a little */ # define ALIGN64 #endif ALIGN64 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 }; ALIGN64 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) { unsigned char storage[320 * 3 + 32 * 9 * 16 + 64]; /* 5.5KB */ unsigned char *p_str = storage + (64 - ((size_t)storage % 64)); unsigned char *a_inv, *m, *result; unsigned char *table_s = p_str + 320 * 3; unsigned char *R2 = table_s; /* borrow */ int index; int wvalue; BN_ULONG tmp[16]; if ((((size_t)p_str & 4095) + 320) >> 12) { result = p_str; a_inv = p_str + 320; m = p_str + 320 * 2; /* should not cross page */ } else { m = p_str; /* should not cross page */ result = p_str + 320; a_inv = p_str + 320 * 2; } rsaz_1024_norm2red_avx2(m, m_norm); rsaz_1024_norm2red_avx2(a_inv, base_norm); rsaz_1024_norm2red_avx2(R2, RR); rsaz_1024_mul_avx2(R2, R2, R2, m, k0); rsaz_1024_mul_avx2(R2, R2, two80, m, k0); /* 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 (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 /* load first window */ p_str = (unsigned char *)exponent; wvalue = p_str[127] >> 3; rsaz_1024_gather5_avx2(result, table_s, wvalue); index = 1014; while (index > -1) { /* loop for the remaining 127 windows */ rsaz_1024_sqr_avx2(result, result, m, k0, 5); wvalue = (p_str[(index / 8) + 1] << 8) | p_str[index / 8]; 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); /* from Montgomery */ rsaz_1024_mul_avx2(result, result, one, m, k0); rsaz_1024_red2norm_avx2(result_norm, result); bn_reduce_once_in_place(result_norm, /*carry=*/0, m_norm, tmp, 16); OPENSSL_cleanse(storage, sizeof(storage)); OPENSSL_cleanse(tmp, sizeof(tmp)); } /* * See crypto/bn/rsaz-x86_64.pl for further details. */ void rsaz_512_mul(void *ret, const void *a, const void *b, const void *n, BN_ULONG k); void rsaz_512_mul_scatter4(void *ret, const void *a, const void *n, BN_ULONG k, const void *tbl, unsigned int power); void rsaz_512_mul_gather4(void *ret, const void *a, const void *tbl, const void *n, BN_ULONG k, unsigned int power); void rsaz_512_mul_by_one(void *ret, const void *a, const void *n, BN_ULONG k); void rsaz_512_sqr(void *ret, const void *a, const void *n, BN_ULONG k, int cnt); void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power); void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power); void RSAZ_512_mod_exp(BN_ULONG result[8], const BN_ULONG base[8], const BN_ULONG exponent[8], const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8]) { unsigned char storage[16 * 8 * 8 + 64 * 2 + 64]; /* 1.2KB */ unsigned char *table = storage + (64 - ((size_t)storage % 64)); BN_ULONG *a_inv = (BN_ULONG *)(table + 16 * 8 * 8); BN_ULONG *temp = (BN_ULONG *)(table + 16 * 8 * 8 + 8 * 8); unsigned char *p_str = (unsigned char *)exponent; int index; unsigned int wvalue; BN_ULONG tmp[8]; /* table[0] = 1_inv */ temp[0] = 0 - m[0]; temp[1] = ~m[1]; temp[2] = ~m[2]; temp[3] = ~m[3]; temp[4] = ~m[4]; temp[5] = ~m[5]; temp[6] = ~m[6]; temp[7] = ~m[7]; rsaz_512_scatter4(table, temp, 0); /* table [1] = a_inv^1 */ rsaz_512_mul(a_inv, base, RR, m, k0); rsaz_512_scatter4(table, a_inv, 1); /* table [2] = a_inv^2 */ rsaz_512_sqr(temp, a_inv, m, k0, 1); rsaz_512_scatter4(table, temp, 2); for (index = 3; index < 16; index++) rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index); /* load first window */ wvalue = p_str[63]; rsaz_512_gather4(temp, table, wvalue >> 4); rsaz_512_sqr(temp, temp, m, k0, 4); rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0xf); for (index = 62; index >= 0; index--) { wvalue = p_str[index]; rsaz_512_sqr(temp, temp, m, k0, 4); rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue >> 4); rsaz_512_sqr(temp, temp, m, k0, 4); rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0x0f); } /* from Montgomery */ rsaz_512_mul_by_one(result, temp, m, k0); bn_reduce_once_in_place(result, /*carry=*/0, m, tmp, 8); OPENSSL_cleanse(storage, sizeof(storage)); OPENSSL_cleanse(tmp, sizeof(tmp)); } #endif