Xuyi Wang
/
wolfSSL
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wolfcrypt/src/sp_arm64.c
- Committer:
- sPymbed
- Date:
- 2019-11-19
- Revision:
- 16:048e5e270a58
- Parent:
- 14:167253f4e170
File content as of revision 16:048e5e270a58:
/* sp.c
*
* Copyright (C) 2006-2018 wolfSSL Inc.
*
* This file is part of wolfSSL.
*
* wolfSSL is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* wolfSSL is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA
*/
/* Implementation by Sean Parkinson. */
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <wolfssl/wolfcrypt/settings.h>
#include <wolfssl/wolfcrypt/error-crypt.h>
#include <wolfssl/wolfcrypt/cpuid.h>
#ifdef NO_INLINE
#include <wolfssl/wolfcrypt/misc.h>
#else
#define WOLFSSL_MISC_INCLUDED
#include <wolfcrypt/src/misc.c>
#endif
#if defined(WOLFSSL_HAVE_SP_RSA) || defined(WOLFSSL_HAVE_SP_DH) || \
defined(WOLFSSL_HAVE_SP_ECC)
#ifdef RSA_LOW_MEM
#define SP_RSA_PRIVATE_EXP_D
#ifndef WOLFSSL_SP_SMALL
#define WOLFSSL_SP_SMALL
#endif
#endif
#include <wolfssl/wolfcrypt/sp.h>
#ifdef WOLFSSL_SP_ARM64_ASM
#if defined(WOLFSSL_HAVE_SP_RSA) || defined(WOLFSSL_HAVE_SP_DH)
#ifndef WOLFSSL_SP_NO_2048
/* Read big endian unsigned byte aray into r.
*
* r A single precision integer.
* a Byte array.
* n Number of bytes in array to read.
*/
static void sp_2048_from_bin(sp_digit* r, int max, const byte* a, int n)
{
int i, j = 0, s = 0;
r[0] = 0;
for (i = n-1; i >= 0; i--) {
r[j] |= ((sp_digit)a[i]) << s;
if (s >= 56) {
r[j] &= 0xffffffffffffffffl;
s = 64 - s;
if (j + 1 >= max)
break;
r[++j] = a[i] >> s;
s = 8 - s;
}
else
s += 8;
}
for (j++; j < max; j++)
r[j] = 0;
}
/* Convert an mp_int to an array of sp_digit.
*
* r A single precision integer.
* a A multi-precision integer.
*/
static void sp_2048_from_mp(sp_digit* r, int max, mp_int* a)
{
#if DIGIT_BIT == 64
int j;
XMEMCPY(r, a->dp, sizeof(sp_digit) * a->used);
for (j = a->used; j < max; j++)
r[j] = 0;
#elif DIGIT_BIT > 64
int i, j = 0, s = 0;
r[0] = 0;
for (i = 0; i < a->used && j < max; i++) {
r[j] |= a->dp[i] << s;
r[j] &= 0xffffffffffffffffl;
s = 64 - s;
if (j + 1 >= max)
break;
r[++j] = a->dp[i] >> s;
while (s + 64 <= DIGIT_BIT) {
s += 64;
r[j] &= 0xffffffffffffffffl;
if (j + 1 >= max)
break;
if (s < DIGIT_BIT)
r[++j] = a->dp[i] >> s;
else
r[++j] = 0;
}
s = DIGIT_BIT - s;
}
for (j++; j < max; j++)
r[j] = 0;
#else
int i, j = 0, s = 0;
r[0] = 0;
for (i = 0; i < a->used && j < max; i++) {
r[j] |= ((sp_digit)a->dp[i]) << s;
if (s + DIGIT_BIT >= 64) {
r[j] &= 0xffffffffffffffffl;
if (j + 1 >= max)
break;
s = 64 - s;
if (s == DIGIT_BIT) {
r[++j] = 0;
s = 0;
}
else {
r[++j] = a->dp[i] >> s;
s = DIGIT_BIT - s;
}
}
else
s += DIGIT_BIT;
}
for (j++; j < max; j++)
r[j] = 0;
#endif
}
/* Write r as big endian to byte aray.
* Fixed length number of bytes written: 256
*
* r A single precision integer.
* a Byte array.
*/
static void sp_2048_to_bin(sp_digit* r, byte* a)
{
int i, j, s = 0, b;
j = 2048 / 8 - 1;
a[j] = 0;
for (i=0; i<32 && j>=0; i++) {
b = 0;
a[j--] |= r[i] << s; b += 8 - s;
if (j < 0)
break;
while (b < 64) {
a[j--] = r[i] >> b; b += 8;
if (j < 0)
break;
}
s = 8 - (b - 64);
if (j >= 0)
a[j] = 0;
if (s != 0)
j++;
}
}
#ifndef WOLFSSL_SP_SMALL
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_2048_mul_8(sp_digit* r, const sp_digit* a, const sp_digit* b)
{
sp_digit tmp[8];
__asm__ __volatile__ (
"ldp x8, x9, [%[a], 0]\n\t"
"ldp x10, x11, [%[a], 16]\n\t"
"ldp x12, x13, [%[a], 32]\n\t"
"ldp x14, x15, [%[a], 48]\n\t"
"ldp x16, x17, [%[b], 0]\n\t"
"ldp x18, x19, [%[b], 16]\n\t"
"ldp x20, x21, [%[b], 32]\n\t"
"ldp x22, x23, [%[b], 48]\n\t"
"# A[0] * B[0]\n\t"
"mul x3, x8, x16\n\t"
"umulh x4, x8, x16\n\t"
"str x3, [%[tmp]]\n\t"
"# A[0] * B[1]\n\t"
"mul x6, x8, x17\n\t"
"umulh x7, x8, x17\n\t"
"adds x4, x4, x6\n\t"
"adc x5, xzr, x7\n\t"
"# A[1] * B[0]\n\t"
"mul x6, x9, x16\n\t"
"umulh x7, x9, x16\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[tmp], 8]\n\t"
"# A[0] * B[2]\n\t"
"mul x6, x8, x18\n\t"
"umulh x7, x8, x18\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[1] * B[1]\n\t"
"mul x6, x9, x17\n\t"
"umulh x7, x9, x17\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[2] * B[0]\n\t"
"mul x6, x10, x16\n\t"
"umulh x7, x10, x16\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[tmp], 16]\n\t"
"# A[0] * B[3]\n\t"
"mul x6, x8, x19\n\t"
"umulh x7, x8, x19\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[1] * B[2]\n\t"
"mul x6, x9, x18\n\t"
"umulh x7, x9, x18\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[2] * B[1]\n\t"
"mul x6, x10, x17\n\t"
"umulh x7, x10, x17\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[3] * B[0]\n\t"
"mul x6, x11, x16\n\t"
"umulh x7, x11, x16\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[tmp], 24]\n\t"
"# A[0] * B[4]\n\t"
"mul x6, x8, x20\n\t"
"umulh x7, x8, x20\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[1] * B[3]\n\t"
"mul x6, x9, x19\n\t"
"umulh x7, x9, x19\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[2] * B[2]\n\t"
"mul x6, x10, x18\n\t"
"umulh x7, x10, x18\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[3] * B[1]\n\t"
"mul x6, x11, x17\n\t"
"umulh x7, x11, x17\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[4] * B[0]\n\t"
"mul x6, x12, x16\n\t"
"umulh x7, x12, x16\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[tmp], 32]\n\t"
"# A[0] * B[5]\n\t"
"mul x6, x8, x21\n\t"
"umulh x7, x8, x21\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[1] * B[4]\n\t"
"mul x6, x9, x20\n\t"
"umulh x7, x9, x20\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[2] * B[3]\n\t"
"mul x6, x10, x19\n\t"
"umulh x7, x10, x19\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[3] * B[2]\n\t"
"mul x6, x11, x18\n\t"
"umulh x7, x11, x18\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[4] * B[1]\n\t"
"mul x6, x12, x17\n\t"
"umulh x7, x12, x17\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[5] * B[0]\n\t"
"mul x6, x13, x16\n\t"
"umulh x7, x13, x16\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[tmp], 40]\n\t"
"# A[0] * B[6]\n\t"
"mul x6, x8, x22\n\t"
"umulh x7, x8, x22\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[1] * B[5]\n\t"
"mul x6, x9, x21\n\t"
"umulh x7, x9, x21\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[2] * B[4]\n\t"
"mul x6, x10, x20\n\t"
"umulh x7, x10, x20\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[3] * B[3]\n\t"
"mul x6, x11, x19\n\t"
"umulh x7, x11, x19\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[4] * B[2]\n\t"
"mul x6, x12, x18\n\t"
"umulh x7, x12, x18\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[5] * B[1]\n\t"
"mul x6, x13, x17\n\t"
"umulh x7, x13, x17\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[6] * B[0]\n\t"
"mul x6, x14, x16\n\t"
"umulh x7, x14, x16\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[tmp], 48]\n\t"
"# A[0] * B[7]\n\t"
"mul x6, x8, x23\n\t"
"umulh x7, x8, x23\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[1] * B[6]\n\t"
"mul x6, x9, x22\n\t"
"umulh x7, x9, x22\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[2] * B[5]\n\t"
"mul x6, x10, x21\n\t"
"umulh x7, x10, x21\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[3] * B[4]\n\t"
"mul x6, x11, x20\n\t"
"umulh x7, x11, x20\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[4] * B[3]\n\t"
"mul x6, x12, x19\n\t"
"umulh x7, x12, x19\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[5] * B[2]\n\t"
"mul x6, x13, x18\n\t"
"umulh x7, x13, x18\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[6] * B[1]\n\t"
"mul x6, x14, x17\n\t"
"umulh x7, x14, x17\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[7] * B[0]\n\t"
"mul x6, x15, x16\n\t"
"umulh x7, x15, x16\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[tmp], 56]\n\t"
"# A[1] * B[7]\n\t"
"mul x6, x9, x23\n\t"
"umulh x7, x9, x23\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[2] * B[6]\n\t"
"mul x6, x10, x22\n\t"
"umulh x7, x10, x22\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[3] * B[5]\n\t"
"mul x6, x11, x21\n\t"
"umulh x7, x11, x21\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[4] * B[4]\n\t"
"mul x6, x12, x20\n\t"
"umulh x7, x12, x20\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[5] * B[3]\n\t"
"mul x6, x13, x19\n\t"
"umulh x7, x13, x19\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[6] * B[2]\n\t"
"mul x6, x14, x18\n\t"
"umulh x7, x14, x18\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[7] * B[1]\n\t"
"mul x6, x15, x17\n\t"
"umulh x7, x15, x17\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[r], 64]\n\t"
"# A[2] * B[7]\n\t"
"mul x6, x10, x23\n\t"
"umulh x7, x10, x23\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[3] * B[6]\n\t"
"mul x6, x11, x22\n\t"
"umulh x7, x11, x22\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[4] * B[5]\n\t"
"mul x6, x12, x21\n\t"
"umulh x7, x12, x21\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[5] * B[4]\n\t"
"mul x6, x13, x20\n\t"
"umulh x7, x13, x20\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[6] * B[3]\n\t"
"mul x6, x14, x19\n\t"
"umulh x7, x14, x19\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[7] * B[2]\n\t"
"mul x6, x15, x18\n\t"
"umulh x7, x15, x18\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[r], 72]\n\t"
"# A[3] * B[7]\n\t"
"mul x6, x11, x23\n\t"
"umulh x7, x11, x23\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[4] * B[6]\n\t"
"mul x6, x12, x22\n\t"
"umulh x7, x12, x22\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[5] * B[5]\n\t"
"mul x6, x13, x21\n\t"
"umulh x7, x13, x21\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[6] * B[4]\n\t"
"mul x6, x14, x20\n\t"
"umulh x7, x14, x20\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[7] * B[3]\n\t"
"mul x6, x15, x19\n\t"
"umulh x7, x15, x19\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[r], 80]\n\t"
"# A[4] * B[7]\n\t"
"mul x6, x12, x23\n\t"
"umulh x7, x12, x23\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[5] * B[6]\n\t"
"mul x6, x13, x22\n\t"
"umulh x7, x13, x22\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[6] * B[5]\n\t"
"mul x6, x14, x21\n\t"
"umulh x7, x14, x21\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[7] * B[4]\n\t"
"mul x6, x15, x20\n\t"
"umulh x7, x15, x20\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[r], 88]\n\t"
"# A[5] * B[7]\n\t"
"mul x6, x13, x23\n\t"
"umulh x7, x13, x23\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[6] * B[6]\n\t"
"mul x6, x14, x22\n\t"
"umulh x7, x14, x22\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[7] * B[5]\n\t"
"mul x6, x15, x21\n\t"
"umulh x7, x15, x21\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[r], 96]\n\t"
"# A[6] * B[7]\n\t"
"mul x6, x14, x23\n\t"
"umulh x7, x14, x23\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[7] * B[6]\n\t"
"mul x6, x15, x22\n\t"
"umulh x7, x15, x22\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[r], 104]\n\t"
"# A[7] * B[7]\n\t"
"mul x6, x15, x23\n\t"
"umulh x7, x15, x23\n\t"
"adds x5, x5, x6\n\t"
"adc x3, x3, x7\n\t"
"stp x5, x3, [%[r], 112]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [tmp] "r" (tmp)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x8", "x9", "x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17", "x18", "x19", "x20", "x21", "x22", "x23"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_2048_sqr_8(sp_digit* r, const sp_digit* a)
{
sp_digit tmp[8];
__asm__ __volatile__ (
"ldp x10, x11, [%[a], 0]\n\t"
"ldp x12, x13, [%[a], 16]\n\t"
"ldp x14, x15, [%[a], 32]\n\t"
"ldp x16, x17, [%[a], 48]\n\t"
"# A[0] * A[0]\n\t"
"mul x2, x10, x10\n\t"
"umulh x3, x10, x10\n\t"
"str x2, [%[tmp]]\n\t"
"mov x4, 0\n\t"
"# A[0] * A[1]\n\t"
"mul x8, x10, x11\n\t"
"umulh x9, x10, x11\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, xzr, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"str x3, [%[tmp], 8]\n\t"
"# A[0] * A[2]\n\t"
"mul x8, x10, x12\n\t"
"umulh x9, x10, x12\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, xzr, xzr\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"# A[1] * A[1]\n\t"
"mul x8, x11, x11\n\t"
"umulh x9, x11, x11\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[tmp], 16]\n\t"
"# A[0] * A[3]\n\t"
"mul x8, x10, x13\n\t"
"umulh x9, x10, x13\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, xzr, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"# A[1] * A[2]\n\t"
"mul x8, x11, x12\n\t"
"umulh x9, x11, x12\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"str x2, [%[tmp], 24]\n\t"
"# A[0] * A[4]\n\t"
"mul x8, x10, x14\n\t"
"umulh x9, x10, x14\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, xzr, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"# A[1] * A[3]\n\t"
"mul x8, x11, x13\n\t"
"umulh x9, x11, x13\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"# A[2] * A[2]\n\t"
"mul x8, x12, x12\n\t"
"umulh x9, x12, x12\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"str x3, [%[tmp], 32]\n\t"
"# A[0] * A[5]\n\t"
"mul x5, x10, x15\n\t"
"umulh x6, x10, x15\n\t"
"mov x3, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[4]\n\t"
"mul x8, x11, x14\n\t"
"umulh x9, x11, x14\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[3]\n\t"
"mul x8, x12, x13\n\t"
"umulh x9, x12, x13\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x4, x4, x5\n\t"
"adcs x2, x2, x6\n\t"
"adc x3, x3, x7\n\t"
"str x4, [%[tmp], 40]\n\t"
"# A[0] * A[6]\n\t"
"mul x5, x10, x16\n\t"
"umulh x6, x10, x16\n\t"
"mov x4, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[5]\n\t"
"mul x8, x11, x15\n\t"
"umulh x9, x11, x15\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[4]\n\t"
"mul x8, x12, x14\n\t"
"umulh x9, x12, x14\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[3]\n\t"
"mul x8, x13, x13\n\t"
"umulh x9, x13, x13\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x2, x2, x5\n\t"
"adcs x3, x3, x6\n\t"
"adc x4, x4, x7\n\t"
"str x2, [%[tmp], 48]\n\t"
"# A[0] * A[7]\n\t"
"mul x5, x10, x17\n\t"
"umulh x6, x10, x17\n\t"
"mov x2, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[6]\n\t"
"mul x8, x11, x16\n\t"
"umulh x9, x11, x16\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[5]\n\t"
"mul x8, x12, x15\n\t"
"umulh x9, x12, x15\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[4]\n\t"
"mul x8, x13, x14\n\t"
"umulh x9, x13, x14\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x3, x3, x5\n\t"
"adcs x4, x4, x6\n\t"
"adc x2, x2, x7\n\t"
"str x3, [%[tmp], 56]\n\t"
"# A[1] * A[7]\n\t"
"mul x5, x11, x17\n\t"
"umulh x6, x11, x17\n\t"
"mov x3, 0\n\t"
"mov x7, 0\n\t"
"# A[2] * A[6]\n\t"
"mul x8, x12, x16\n\t"
"umulh x9, x12, x16\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[5]\n\t"
"mul x8, x13, x15\n\t"
"umulh x9, x13, x15\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[4] * A[4]\n\t"
"mul x8, x14, x14\n\t"
"umulh x9, x14, x14\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x4, x4, x5\n\t"
"adcs x2, x2, x6\n\t"
"adc x3, x3, x7\n\t"
"str x4, [%[r], 64]\n\t"
"# A[2] * A[7]\n\t"
"mul x5, x12, x17\n\t"
"umulh x6, x12, x17\n\t"
"mov x4, 0\n\t"
"mov x7, 0\n\t"
"# A[3] * A[6]\n\t"
"mul x8, x13, x16\n\t"
"umulh x9, x13, x16\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[4] * A[5]\n\t"
"mul x8, x14, x15\n\t"
"umulh x9, x14, x15\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x2, x2, x5\n\t"
"adcs x3, x3, x6\n\t"
"adc x4, x4, x7\n\t"
"str x2, [%[r], 72]\n\t"
"# A[3] * A[7]\n\t"
"mul x8, x13, x17\n\t"
"umulh x9, x13, x17\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, xzr, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"# A[4] * A[6]\n\t"
"mul x8, x14, x16\n\t"
"umulh x9, x14, x16\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"# A[5] * A[5]\n\t"
"mul x8, x15, x15\n\t"
"umulh x9, x15, x15\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"str x3, [%[r], 80]\n\t"
"# A[4] * A[7]\n\t"
"mul x8, x14, x17\n\t"
"umulh x9, x14, x17\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, xzr, xzr\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"# A[5] * A[6]\n\t"
"mul x8, x15, x16\n\t"
"umulh x9, x15, x16\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[r], 88]\n\t"
"# A[5] * A[7]\n\t"
"mul x8, x15, x17\n\t"
"umulh x9, x15, x17\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, xzr, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"# A[6] * A[6]\n\t"
"mul x8, x16, x16\n\t"
"umulh x9, x16, x16\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"str x2, [%[r], 96]\n\t"
"# A[6] * A[7]\n\t"
"mul x8, x16, x17\n\t"
"umulh x9, x16, x17\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, xzr, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"str x3, [%[r], 104]\n\t"
"# A[7] * A[7]\n\t"
"mul x8, x17, x17\n\t"
"umulh x9, x17, x17\n\t"
"adds x4, x4, x8\n\t"
"adc x2, x2, x9\n\t"
"stp x4, x2, [%[r], 112]\n\t"
:
: [r] "r" (r), [a] "r" (a), [tmp] "r" (tmp)
: "memory", "x2", "x3", "x4", "x8", "x9", "x10", "x5", "x6", "x7", "x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_2048_add_8(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x3, x4, [%[a], 0]\n\t"
"ldp x5, x6, [%[a], 16]\n\t"
"ldp x7, x8, [%[b], 0]\n\t"
"ldp x9, x10, [%[b], 16]\n\t"
"adds x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 0]\n\t"
"stp x5, x6, [%[r], 16]\n\t"
"ldp x3, x4, [%[a], 32]\n\t"
"ldp x5, x6, [%[a], 48]\n\t"
"ldp x7, x8, [%[b], 32]\n\t"
"ldp x9, x10, [%[b], 48]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 32]\n\t"
"stp x5, x6, [%[r], 48]\n\t"
"cset %[c], cs\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
/* Sub b from a into a. (a -= b)
*
* a A single precision integer and result.
* b A single precision integer.
*/
static sp_digit sp_2048_sub_in_place_16(sp_digit* a, const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x2, x3, [%[a], 0]\n\t"
"ldp x4, x5, [%[a], 16]\n\t"
"ldp x6, x7, [%[b], 0]\n\t"
"ldp x8, x9, [%[b], 16]\n\t"
"subs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 0]\n\t"
"stp x4, x5, [%[a], 16]\n\t"
"ldp x2, x3, [%[a], 32]\n\t"
"ldp x4, x5, [%[a], 48]\n\t"
"ldp x6, x7, [%[b], 32]\n\t"
"ldp x8, x9, [%[b], 48]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 32]\n\t"
"stp x4, x5, [%[a], 48]\n\t"
"ldp x2, x3, [%[a], 64]\n\t"
"ldp x4, x5, [%[a], 80]\n\t"
"ldp x6, x7, [%[b], 64]\n\t"
"ldp x8, x9, [%[b], 80]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 64]\n\t"
"stp x4, x5, [%[a], 80]\n\t"
"ldp x2, x3, [%[a], 96]\n\t"
"ldp x4, x5, [%[a], 112]\n\t"
"ldp x6, x7, [%[b], 96]\n\t"
"ldp x8, x9, [%[b], 112]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 96]\n\t"
"stp x4, x5, [%[a], 112]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [a] "r" (a), [b] "r" (b)
: "memory", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9"
);
return c;
}
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_2048_add_16(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x3, x4, [%[a], 0]\n\t"
"ldp x5, x6, [%[a], 16]\n\t"
"ldp x7, x8, [%[b], 0]\n\t"
"ldp x9, x10, [%[b], 16]\n\t"
"adds x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 0]\n\t"
"stp x5, x6, [%[r], 16]\n\t"
"ldp x3, x4, [%[a], 32]\n\t"
"ldp x5, x6, [%[a], 48]\n\t"
"ldp x7, x8, [%[b], 32]\n\t"
"ldp x9, x10, [%[b], 48]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 32]\n\t"
"stp x5, x6, [%[r], 48]\n\t"
"ldp x3, x4, [%[a], 64]\n\t"
"ldp x5, x6, [%[a], 80]\n\t"
"ldp x7, x8, [%[b], 64]\n\t"
"ldp x9, x10, [%[b], 80]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 64]\n\t"
"stp x5, x6, [%[r], 80]\n\t"
"ldp x3, x4, [%[a], 96]\n\t"
"ldp x5, x6, [%[a], 112]\n\t"
"ldp x7, x8, [%[b], 96]\n\t"
"ldp x9, x10, [%[b], 112]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 96]\n\t"
"stp x5, x6, [%[r], 112]\n\t"
"cset %[c], cs\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_2048_mask_8(sp_digit* r, sp_digit* a, sp_digit m)
{
#ifdef WOLFSSL_SP_SMALL
int i;
for (i=0; i<8; i++)
r[i] = a[i] & m;
#else
r[0] = a[0] & m;
r[1] = a[1] & m;
r[2] = a[2] & m;
r[3] = a[3] & m;
r[4] = a[4] & m;
r[5] = a[5] & m;
r[6] = a[6] & m;
r[7] = a[7] & m;
#endif
}
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_2048_mul_16(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit* z0 = r;
sp_digit z1[16];
sp_digit a1[8];
sp_digit b1[8];
sp_digit z2[16];
sp_digit u, ca, cb;
ca = sp_2048_add_8(a1, a, &a[8]);
cb = sp_2048_add_8(b1, b, &b[8]);
u = ca & cb;
sp_2048_mul_8(z1, a1, b1);
sp_2048_mul_8(z2, &a[8], &b[8]);
sp_2048_mul_8(z0, a, b);
sp_2048_mask_8(r + 16, a1, 0 - cb);
sp_2048_mask_8(b1, b1, 0 - ca);
u += sp_2048_add_8(r + 16, r + 16, b1);
u += sp_2048_sub_in_place_16(z1, z2);
u += sp_2048_sub_in_place_16(z1, z0);
u += sp_2048_add_16(r + 8, r + 8, z1);
r[24] = u;
XMEMSET(r + 24 + 1, 0, sizeof(sp_digit) * (8 - 1));
sp_2048_add_16(r + 16, r + 16, z2);
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_2048_sqr_16(sp_digit* r, const sp_digit* a)
{
sp_digit* z0 = r;
sp_digit z2[16];
sp_digit z1[16];
sp_digit a1[8];
sp_digit u;
u = sp_2048_add_8(a1, a, &a[8]);
sp_2048_sqr_8(z1, a1);
sp_2048_sqr_8(z2, &a[8]);
sp_2048_sqr_8(z0, a);
sp_2048_mask_8(r + 16, a1, 0 - u);
u += sp_2048_add_8(r + 16, r + 16, r + 16);
u += sp_2048_sub_in_place_16(z1, z2);
u += sp_2048_sub_in_place_16(z1, z0);
u += sp_2048_add_16(r + 8, r + 8, z1);
r[24] = u;
XMEMSET(r + 24 + 1, 0, sizeof(sp_digit) * (8 - 1));
sp_2048_add_16(r + 16, r + 16, z2);
}
/* Sub b from a into a. (a -= b)
*
* a A single precision integer and result.
* b A single precision integer.
*/
static sp_digit sp_2048_sub_in_place_32(sp_digit* a, const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x2, x3, [%[a], 0]\n\t"
"ldp x4, x5, [%[a], 16]\n\t"
"ldp x6, x7, [%[b], 0]\n\t"
"ldp x8, x9, [%[b], 16]\n\t"
"subs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 0]\n\t"
"stp x4, x5, [%[a], 16]\n\t"
"ldp x2, x3, [%[a], 32]\n\t"
"ldp x4, x5, [%[a], 48]\n\t"
"ldp x6, x7, [%[b], 32]\n\t"
"ldp x8, x9, [%[b], 48]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 32]\n\t"
"stp x4, x5, [%[a], 48]\n\t"
"ldp x2, x3, [%[a], 64]\n\t"
"ldp x4, x5, [%[a], 80]\n\t"
"ldp x6, x7, [%[b], 64]\n\t"
"ldp x8, x9, [%[b], 80]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 64]\n\t"
"stp x4, x5, [%[a], 80]\n\t"
"ldp x2, x3, [%[a], 96]\n\t"
"ldp x4, x5, [%[a], 112]\n\t"
"ldp x6, x7, [%[b], 96]\n\t"
"ldp x8, x9, [%[b], 112]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 96]\n\t"
"stp x4, x5, [%[a], 112]\n\t"
"ldp x2, x3, [%[a], 128]\n\t"
"ldp x4, x5, [%[a], 144]\n\t"
"ldp x6, x7, [%[b], 128]\n\t"
"ldp x8, x9, [%[b], 144]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 128]\n\t"
"stp x4, x5, [%[a], 144]\n\t"
"ldp x2, x3, [%[a], 160]\n\t"
"ldp x4, x5, [%[a], 176]\n\t"
"ldp x6, x7, [%[b], 160]\n\t"
"ldp x8, x9, [%[b], 176]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 160]\n\t"
"stp x4, x5, [%[a], 176]\n\t"
"ldp x2, x3, [%[a], 192]\n\t"
"ldp x4, x5, [%[a], 208]\n\t"
"ldp x6, x7, [%[b], 192]\n\t"
"ldp x8, x9, [%[b], 208]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 192]\n\t"
"stp x4, x5, [%[a], 208]\n\t"
"ldp x2, x3, [%[a], 224]\n\t"
"ldp x4, x5, [%[a], 240]\n\t"
"ldp x6, x7, [%[b], 224]\n\t"
"ldp x8, x9, [%[b], 240]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 224]\n\t"
"stp x4, x5, [%[a], 240]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [a] "r" (a), [b] "r" (b)
: "memory", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9"
);
return c;
}
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_2048_add_32(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x3, x4, [%[a], 0]\n\t"
"ldp x5, x6, [%[a], 16]\n\t"
"ldp x7, x8, [%[b], 0]\n\t"
"ldp x9, x10, [%[b], 16]\n\t"
"adds x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 0]\n\t"
"stp x5, x6, [%[r], 16]\n\t"
"ldp x3, x4, [%[a], 32]\n\t"
"ldp x5, x6, [%[a], 48]\n\t"
"ldp x7, x8, [%[b], 32]\n\t"
"ldp x9, x10, [%[b], 48]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 32]\n\t"
"stp x5, x6, [%[r], 48]\n\t"
"ldp x3, x4, [%[a], 64]\n\t"
"ldp x5, x6, [%[a], 80]\n\t"
"ldp x7, x8, [%[b], 64]\n\t"
"ldp x9, x10, [%[b], 80]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 64]\n\t"
"stp x5, x6, [%[r], 80]\n\t"
"ldp x3, x4, [%[a], 96]\n\t"
"ldp x5, x6, [%[a], 112]\n\t"
"ldp x7, x8, [%[b], 96]\n\t"
"ldp x9, x10, [%[b], 112]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 96]\n\t"
"stp x5, x6, [%[r], 112]\n\t"
"ldp x3, x4, [%[a], 128]\n\t"
"ldp x5, x6, [%[a], 144]\n\t"
"ldp x7, x8, [%[b], 128]\n\t"
"ldp x9, x10, [%[b], 144]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 128]\n\t"
"stp x5, x6, [%[r], 144]\n\t"
"ldp x3, x4, [%[a], 160]\n\t"
"ldp x5, x6, [%[a], 176]\n\t"
"ldp x7, x8, [%[b], 160]\n\t"
"ldp x9, x10, [%[b], 176]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 160]\n\t"
"stp x5, x6, [%[r], 176]\n\t"
"ldp x3, x4, [%[a], 192]\n\t"
"ldp x5, x6, [%[a], 208]\n\t"
"ldp x7, x8, [%[b], 192]\n\t"
"ldp x9, x10, [%[b], 208]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 192]\n\t"
"stp x5, x6, [%[r], 208]\n\t"
"ldp x3, x4, [%[a], 224]\n\t"
"ldp x5, x6, [%[a], 240]\n\t"
"ldp x7, x8, [%[b], 224]\n\t"
"ldp x9, x10, [%[b], 240]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 224]\n\t"
"stp x5, x6, [%[r], 240]\n\t"
"cset %[c], cs\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_2048_mask_16(sp_digit* r, sp_digit* a, sp_digit m)
{
#ifdef WOLFSSL_SP_SMALL
int i;
for (i=0; i<16; i++)
r[i] = a[i] & m;
#else
int i;
for (i = 0; i < 16; i += 8) {
r[i+0] = a[i+0] & m;
r[i+1] = a[i+1] & m;
r[i+2] = a[i+2] & m;
r[i+3] = a[i+3] & m;
r[i+4] = a[i+4] & m;
r[i+5] = a[i+5] & m;
r[i+6] = a[i+6] & m;
r[i+7] = a[i+7] & m;
}
#endif
}
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_2048_mul_32(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit* z0 = r;
sp_digit z1[32];
sp_digit a1[16];
sp_digit b1[16];
sp_digit z2[32];
sp_digit u, ca, cb;
ca = sp_2048_add_16(a1, a, &a[16]);
cb = sp_2048_add_16(b1, b, &b[16]);
u = ca & cb;
sp_2048_mul_16(z1, a1, b1);
sp_2048_mul_16(z2, &a[16], &b[16]);
sp_2048_mul_16(z0, a, b);
sp_2048_mask_16(r + 32, a1, 0 - cb);
sp_2048_mask_16(b1, b1, 0 - ca);
u += sp_2048_add_16(r + 32, r + 32, b1);
u += sp_2048_sub_in_place_32(z1, z2);
u += sp_2048_sub_in_place_32(z1, z0);
u += sp_2048_add_32(r + 16, r + 16, z1);
r[48] = u;
XMEMSET(r + 48 + 1, 0, sizeof(sp_digit) * (16 - 1));
sp_2048_add_32(r + 32, r + 32, z2);
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_2048_sqr_32(sp_digit* r, const sp_digit* a)
{
sp_digit* z0 = r;
sp_digit z2[32];
sp_digit z1[32];
sp_digit a1[16];
sp_digit u;
u = sp_2048_add_16(a1, a, &a[16]);
sp_2048_sqr_16(z1, a1);
sp_2048_sqr_16(z2, &a[16]);
sp_2048_sqr_16(z0, a);
sp_2048_mask_16(r + 32, a1, 0 - u);
u += sp_2048_add_16(r + 32, r + 32, r + 32);
u += sp_2048_sub_in_place_32(z1, z2);
u += sp_2048_sub_in_place_32(z1, z0);
u += sp_2048_add_32(r + 16, r + 16, z1);
r[48] = u;
XMEMSET(r + 48 + 1, 0, sizeof(sp_digit) * (16 - 1));
sp_2048_add_32(r + 32, r + 32, z2);
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_2048_add_32(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"add x11, %[a], 256\n\t"
"\n1:\n\t"
"adds %[c], %[c], #-1\n\t"
"ldp x3, x4, [%[a]], #16\n\t"
"ldp x5, x6, [%[a]], #16\n\t"
"ldp x7, x8, [%[b]], #16\n\t"
"ldp x9, x10, [%[b]], #16\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r]], #16\n\t"
"stp x5, x6, [%[r]], #16\n\t"
"cset %[c], cs\n\t"
"cmp %[a], x11\n\t"
"b.ne 1b\n\t"
: [c] "+r" (c), [r] "+r" (r), [a] "+r" (a), [b] "+r" (b)
:
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
return c;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Sub b from a into a. (a -= b)
*
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_2048_sub_in_place_32(sp_digit* a, const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"add x10, %[a], 256\n\t"
"\n1:\n\t"
"subs %[c], xzr, %[c]\n\t"
"ldp x2, x3, [%[a]]\n\t"
"ldp x4, x5, [%[a], #16]\n\t"
"ldp x6, x7, [%[b]], #16\n\t"
"ldp x8, x9, [%[b]], #16\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a]], #16\n\t"
"stp x4, x5, [%[a]], #16\n\t"
"csetm %[c], cc\n\t"
"cmp %[a], x10\n\t"
"b.ne 1b\n\t"
: [c] "+r" (c), [a] "+r" (a), [b] "+r" (b)
:
: "memory", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_2048_mul_32(sp_digit* r, const sp_digit* a, const sp_digit* b)
{
sp_digit tmp[64];
__asm__ __volatile__ (
"mov x5, 0\n\t"
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 248\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[b], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 256\n\t"
"b.eq 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 496\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_2048_sqr_32(sp_digit* r, const sp_digit* a)
{
sp_digit tmp[64];
__asm__ __volatile__ (
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"mov x5, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 248\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"cmp x4, x3\n\t"
"b.eq 4f\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[a], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"b.al 5f\n\t"
"\n4:\n\t"
"ldr x10, [%[a], x3]\n\t"
"mul x9, x10, x10\n\t"
"umulh x10, x10, x10\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"\n5:\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 256\n\t"
"b.eq 3f\n\t"
"cmp x3, x4\n\t"
"b.gt 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 496\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
#endif /* WOLFSSL_SP_SMALL */
#if !defined(SP_RSA_PRIVATE_EXP_D) && defined(WOLFSSL_HAVE_SP_RSA)
#ifdef WOLFSSL_SP_SMALL
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_2048_mask_16(sp_digit* r, sp_digit* a, sp_digit m)
{
int i;
for (i=0; i<16; i++)
r[i] = a[i] & m;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_2048_add_16(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"add x11, %[a], 128\n\t"
"\n1:\n\t"
"adds %[c], %[c], #-1\n\t"
"ldp x3, x4, [%[a]], #16\n\t"
"ldp x5, x6, [%[a]], #16\n\t"
"ldp x7, x8, [%[b]], #16\n\t"
"ldp x9, x10, [%[b]], #16\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r]], #16\n\t"
"stp x5, x6, [%[r]], #16\n\t"
"cset %[c], cs\n\t"
"cmp %[a], x11\n\t"
"b.ne 1b\n\t"
: [c] "+r" (c), [r] "+r" (r), [a] "+r" (a), [b] "+r" (b)
:
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
return c;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Sub b from a into a. (a -= b)
*
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_2048_sub_in_place_16(sp_digit* a, const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"add x10, %[a], 128\n\t"
"\n1:\n\t"
"subs %[c], xzr, %[c]\n\t"
"ldp x2, x3, [%[a]]\n\t"
"ldp x4, x5, [%[a], #16]\n\t"
"ldp x6, x7, [%[b]], #16\n\t"
"ldp x8, x9, [%[b]], #16\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a]], #16\n\t"
"stp x4, x5, [%[a]], #16\n\t"
"csetm %[c], cc\n\t"
"cmp %[a], x10\n\t"
"b.ne 1b\n\t"
: [c] "+r" (c), [a] "+r" (a), [b] "+r" (b)
:
: "memory", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_2048_mul_16(sp_digit* r, const sp_digit* a, const sp_digit* b)
{
sp_digit tmp[32];
__asm__ __volatile__ (
"mov x5, 0\n\t"
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 120\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[b], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 128\n\t"
"b.eq 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 240\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_2048_sqr_16(sp_digit* r, const sp_digit* a)
{
sp_digit tmp[32];
__asm__ __volatile__ (
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"mov x5, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 120\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"cmp x4, x3\n\t"
"b.eq 4f\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[a], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"b.al 5f\n\t"
"\n4:\n\t"
"ldr x10, [%[a], x3]\n\t"
"mul x9, x10, x10\n\t"
"umulh x10, x10, x10\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"\n5:\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 128\n\t"
"b.eq 3f\n\t"
"cmp x3, x4\n\t"
"b.gt 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 240\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
#endif /* WOLFSSL_SP_SMALL */
#endif /* !SP_RSA_PRIVATE_EXP_D && WOLFSSL_HAVE_SP_RSA */
/* Caclulate the bottom digit of -1/a mod 2^n.
*
* a A single precision number.
* rho Bottom word of inverse.
*/
static void sp_2048_mont_setup(sp_digit* a, sp_digit* rho)
{
sp_digit x, b;
b = a[0];
x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */
x *= 2 - b * x; /* here x*a==1 mod 2**8 */
x *= 2 - b * x; /* here x*a==1 mod 2**16 */
x *= 2 - b * x; /* here x*a==1 mod 2**32 */
x *= 2 - b * x; /* here x*a==1 mod 2**64 */
/* rho = -1/m mod b */
*rho = -x;
}
#if !defined(SP_RSA_PRIVATE_EXP_D) && defined(WOLFSSL_HAVE_SP_RSA)
/* r = 2^n mod m where n is the number of bits to reduce by.
* Given m must be 2048 bits, just need to subtract.
*
* r A single precision number.
* m A signle precision number.
*/
static void sp_2048_mont_norm_16(sp_digit* r, sp_digit* m)
{
XMEMSET(r, 0, sizeof(sp_digit) * 16);
/* r = 2^n mod m */
sp_2048_sub_in_place_16(r, m);
}
/* Conditionally subtract b from a using the mask m.
* m is -1 to subtract and 0 when not copying.
*
* r A single precision number representing condition subtract result.
* a A single precision number to subtract from.
* b A single precision number to subtract.
* m Mask value to apply.
*/
static sp_digit sp_2048_cond_sub_16(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit m)
{
sp_digit c = 0;
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"mov x8, #0\n\t"
"1:\n\t"
"subs %[c], xzr, %[c]\n\t"
"ldr x4, [%[a], x8]\n\t"
"ldr x5, [%[b], x8]\n\t"
"and x5, x5, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"csetm %[c], cc\n\t"
"str x4, [%[r], x8]\n\t"
"add x8, x8, #8\n\t"
"cmp x8, 128\n\t"
"b.lt 1b\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x6", "x5", "x7", "x8"
);
#else
__asm__ __volatile__ (
"ldr x4, [%[a], 0]\n\t"
"ldr x6, [%[a], 8]\n\t"
"ldr x5, [%[b], 0]\n\t"
"ldr x7, [%[b], 8]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"subs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 0]\n\t"
"str x6, [%[r], 8]\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x6, [%[a], 24]\n\t"
"ldr x5, [%[b], 16]\n\t"
"ldr x7, [%[b], 24]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 16]\n\t"
"str x6, [%[r], 24]\n\t"
"ldr x4, [%[a], 32]\n\t"
"ldr x6, [%[a], 40]\n\t"
"ldr x5, [%[b], 32]\n\t"
"ldr x7, [%[b], 40]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 32]\n\t"
"str x6, [%[r], 40]\n\t"
"ldr x4, [%[a], 48]\n\t"
"ldr x6, [%[a], 56]\n\t"
"ldr x5, [%[b], 48]\n\t"
"ldr x7, [%[b], 56]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 48]\n\t"
"str x6, [%[r], 56]\n\t"
"ldr x4, [%[a], 64]\n\t"
"ldr x6, [%[a], 72]\n\t"
"ldr x5, [%[b], 64]\n\t"
"ldr x7, [%[b], 72]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 64]\n\t"
"str x6, [%[r], 72]\n\t"
"ldr x4, [%[a], 80]\n\t"
"ldr x6, [%[a], 88]\n\t"
"ldr x5, [%[b], 80]\n\t"
"ldr x7, [%[b], 88]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 80]\n\t"
"str x6, [%[r], 88]\n\t"
"ldr x4, [%[a], 96]\n\t"
"ldr x6, [%[a], 104]\n\t"
"ldr x5, [%[b], 96]\n\t"
"ldr x7, [%[b], 104]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 96]\n\t"
"str x6, [%[r], 104]\n\t"
"ldr x4, [%[a], 112]\n\t"
"ldr x6, [%[a], 120]\n\t"
"ldr x5, [%[b], 112]\n\t"
"ldr x7, [%[b], 120]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 112]\n\t"
"str x6, [%[r], 120]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x6", "x5", "x7", "x8"
);
#endif /* WOLFSSL_SP_SMALL */
return c;
}
/* Reduce the number back to 2048 bits using Montgomery reduction.
*
* a A single precision number to reduce in place.
* m The single precision number representing the modulus.
* mp The digit representing the negative inverse of m mod 2^n.
*/
SP_NOINLINE static void sp_2048_mont_reduce_16(sp_digit* a, sp_digit* m,
sp_digit mp)
{
sp_digit ca = 0;
__asm__ __volatile__ (
"ldp x12, x13, [%[m], 0]\n\t"
"ldp x14, x15, [%[m], 16]\n\t"
"ldp x16, x17, [%[m], 32]\n\t"
"ldp x18, x19, [%[m], 48]\n\t"
"ldp x20, x21, [%[m], 64]\n\t"
"ldp x22, x23, [%[m], 80]\n\t"
"ldp x24, x25, [%[m], 96]\n\t"
"ldp x26, x27, [%[m], 112]\n\t"
"# i = 0\n\t"
"mov x3, 0\n\t"
"ldp x10, x11, [%[a], 0]\n\t"
"\n1:\n\t"
"# mu = a[i] * mp\n\t"
"mul x8, %[mp], x10\n\t"
"# a[i+0] += m[0] * mu\n\t"
"ldr x9, [%[a], 0]\n\t"
"mul x6, x12, x8\n\t"
"umulh x7, x12, x8\n\t"
"adds x10, x10, x6\n\t"
"adc x5, x7, xzr\n\t"
"# a[i+1] += m[1] * mu\n\t"
"ldr x9, [%[a], 8]\n\t"
"mul x6, x13, x8\n\t"
"umulh x7, x13, x8\n\t"
"adds x10, x11, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x10, x10, x5\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+2] += m[2] * mu\n\t"
"ldr x11, [%[a], 16]\n\t"
"mul x6, x14, x8\n\t"
"umulh x7, x14, x8\n\t"
"adds x11, x11, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x11, x11, x4\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+3] += m[3] * mu\n\t"
"ldr x9, [%[a], 24]\n\t"
"mul x6, x15, x8\n\t"
"umulh x7, x15, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 24]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+4] += m[4] * mu\n\t"
"ldr x9, [%[a], 32]\n\t"
"mul x6, x16, x8\n\t"
"umulh x7, x16, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 32]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+5] += m[5] * mu\n\t"
"ldr x9, [%[a], 40]\n\t"
"mul x6, x17, x8\n\t"
"umulh x7, x17, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 40]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+6] += m[6] * mu\n\t"
"ldr x9, [%[a], 48]\n\t"
"mul x6, x18, x8\n\t"
"umulh x7, x18, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 48]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+7] += m[7] * mu\n\t"
"ldr x9, [%[a], 56]\n\t"
"mul x6, x19, x8\n\t"
"umulh x7, x19, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 56]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+8] += m[8] * mu\n\t"
"ldr x9, [%[a], 64]\n\t"
"mul x6, x20, x8\n\t"
"umulh x7, x20, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 64]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+9] += m[9] * mu\n\t"
"ldr x9, [%[a], 72]\n\t"
"mul x6, x21, x8\n\t"
"umulh x7, x21, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 72]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+10] += m[10] * mu\n\t"
"ldr x9, [%[a], 80]\n\t"
"mul x6, x22, x8\n\t"
"umulh x7, x22, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 80]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+11] += m[11] * mu\n\t"
"ldr x9, [%[a], 88]\n\t"
"mul x6, x23, x8\n\t"
"umulh x7, x23, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 88]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+12] += m[12] * mu\n\t"
"ldr x9, [%[a], 96]\n\t"
"mul x6, x24, x8\n\t"
"umulh x7, x24, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 96]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+13] += m[13] * mu\n\t"
"ldr x9, [%[a], 104]\n\t"
"mul x6, x25, x8\n\t"
"umulh x7, x25, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 104]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+14] += m[14] * mu\n\t"
"ldr x9, [%[a], 112]\n\t"
"mul x6, x26, x8\n\t"
"umulh x7, x26, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 112]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+15] += m[15] * mu\n\t"
"ldr x9, [%[a], 120]\n\t"
"mul x6, x27, x8\n\t"
"umulh x7, x27, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x7, x7, %[ca]\n\t"
"cset %[ca], cs\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 120]\n\t"
"ldr x9, [%[a], 128]\n\t"
"adcs x9, x9, x7\n\t"
"str x9, [%[a], 128]\n\t"
"adc %[ca], %[ca], xzr\n\t"
"# i += 1\n\t"
"add %[a], %[a], 8\n\t"
"add x3, x3, 8\n\t"
"cmp x3, 128\n\t"
"blt 1b\n\t"
"str x10, [%[a], 0]\n\t"
"str x11, [%[a], 8]\n\t"
: [ca] "+r" (ca), [a] "+r" (a)
: [m] "r" (m), [mp] "r" (mp)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17", "x18", "x19", "x20", "x21", "x22", "x23", "x24", "x25", "x26", "x27"
);
sp_2048_cond_sub_16(a - 16, a, m, (sp_digit)0 - ca);
}
/* Multiply two Montogmery form numbers mod the modulus (prime).
* (r = a * b mod m)
*
* r Result of multiplication.
* a First number to multiply in Montogmery form.
* b Second number to multiply in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
static void sp_2048_mont_mul_16(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit* m, sp_digit mp)
{
sp_2048_mul_16(r, a, b);
sp_2048_mont_reduce_16(r, m, mp);
}
/* Square the Montgomery form number. (r = a * a mod m)
*
* r Result of squaring.
* a Number to square in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
static void sp_2048_mont_sqr_16(sp_digit* r, sp_digit* a, sp_digit* m,
sp_digit mp)
{
sp_2048_sqr_16(r, a);
sp_2048_mont_reduce_16(r, m, mp);
}
/* Mul a by digit b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision digit.
*/
static void sp_2048_mul_d_16(sp_digit* r, const sp_digit* a,
const sp_digit b)
{
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"# A[0] * B\n\t"
"ldr x8, [%[a]]\n\t"
"mul x5, %[b], x8\n\t"
"umulh x3, %[b], x8\n\t"
"mov x4, 0\n\t"
"str x5, [%[r]]\n\t"
"mov x5, 0\n\t"
"mov x9, #8\n\t"
"1:\n\t"
"ldr x8, [%[a], x9]\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], x9]\n\t"
"mov x3, x4\n\t"
"mov x4, x5\n\t"
"mov x5, #0\n\t"
"add x9, x9, #8\n\t"
"cmp x9, 128\n\t"
"b.lt 1b\n\t"
"str x3, [%[r], 128]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
#else
__asm__ __volatile__ (
"# A[0] * B\n\t"
"ldr x8, [%[a]]\n\t"
"mul x3, %[b], x8\n\t"
"umulh x4, %[b], x8\n\t"
"mov x5, 0\n\t"
"str x3, [%[r]]\n\t"
"# A[1] * B\n\t"
"ldr x8, [%[a], 8]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 8]\n\t"
"# A[2] * B\n\t"
"ldr x8, [%[a], 16]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 16]\n\t"
"# A[3] * B\n\t"
"ldr x8, [%[a], 24]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 24]\n\t"
"# A[4] * B\n\t"
"ldr x8, [%[a], 32]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 32]\n\t"
"# A[5] * B\n\t"
"ldr x8, [%[a], 40]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 40]\n\t"
"# A[6] * B\n\t"
"ldr x8, [%[a], 48]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 48]\n\t"
"# A[7] * B\n\t"
"ldr x8, [%[a], 56]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 56]\n\t"
"# A[8] * B\n\t"
"ldr x8, [%[a], 64]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 64]\n\t"
"# A[9] * B\n\t"
"ldr x8, [%[a], 72]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 72]\n\t"
"# A[10] * B\n\t"
"ldr x8, [%[a], 80]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 80]\n\t"
"# A[11] * B\n\t"
"ldr x8, [%[a], 88]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 88]\n\t"
"# A[12] * B\n\t"
"ldr x8, [%[a], 96]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 96]\n\t"
"# A[13] * B\n\t"
"ldr x8, [%[a], 104]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 104]\n\t"
"# A[14] * B\n\t"
"ldr x8, [%[a], 112]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 112]\n\t"
"# A[15] * B\n\t"
"ldr x8, [%[a], 120]\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adc x4, x4, x7\n\t"
"str x3, [%[r], 120]\n\t"
"str x4, [%[r], 128]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
#endif
}
/* Divide the double width number (d1|d0) by the dividend. (d1|d0 / div)
*
* d1 The high order half of the number to divide.
* d0 The low order half of the number to divide.
* div The dividend.
* returns the result of the division.
*/
static sp_digit div_2048_word_16(sp_digit d1, sp_digit d0, sp_digit div)
{
sp_digit r;
__asm__ __volatile__ (
"lsr x5, %[div], 32\n\t"
"add x5, x5, 1\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x6, x3, 32\n\t"
"mul x4, %[div], x6\n\t"
"umulh x3, %[div], x6\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x3, x3, 32\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d0], %[div]\n\t"
"add x6, x6, x3\n\t"
"mul x3, %[div], x3\n\t"
"sub %[d0], %[d0], x3\n\t"
"mov %[r], x6\n\t"
: [r] "=r" (r)
: [d1] "r" (d1), [d0] "r" (d0), [div] "r" (div)
: "x3", "x4", "x5", "x6"
);
return r;
}
/* Compare a with b in constant time.
*
* a A single precision integer.
* b A single precision integer.
* return -ve, 0 or +ve if a is less than, equal to or greater than b
* respectively.
*/
static int64_t sp_2048_cmp_16(sp_digit* a, sp_digit* b)
{
sp_digit r = -1;
sp_digit one = 1;
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"mov x3, -1\n\t"
"mov x6, 120\n\t"
"1:\n\t"
"ldr x4, [%[a], x6]\n\t"
"ldr x5, [%[b], x6]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"sub x6, x6, #8\n\t"
"b.cc 1b\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#else
__asm__ __volatile__ (
"mov x3, -1\n\t"
"ldr x4, [%[a], 120]\n\t"
"ldr x5, [%[b], 120]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 112]\n\t"
"ldr x5, [%[b], 112]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 104]\n\t"
"ldr x5, [%[b], 104]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 96]\n\t"
"ldr x5, [%[b], 96]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 88]\n\t"
"ldr x5, [%[b], 88]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 80]\n\t"
"ldr x5, [%[b], 80]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 72]\n\t"
"ldr x5, [%[b], 72]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 64]\n\t"
"ldr x5, [%[b], 64]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 56]\n\t"
"ldr x5, [%[b], 56]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 48]\n\t"
"ldr x5, [%[b], 48]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 40]\n\t"
"ldr x5, [%[b], 40]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 32]\n\t"
"ldr x5, [%[b], 32]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 24]\n\t"
"ldr x5, [%[b], 24]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x5, [%[b], 16]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 8]\n\t"
"ldr x5, [%[b], 8]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 0]\n\t"
"ldr x5, [%[b], 0]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#endif
return r;
}
/* Divide d in a and put remainder into r (m*d + r = a)
* m is not calculated as it is not needed at this time.
*
* a Nmber to be divided.
* d Number to divide with.
* m Multiplier result.
* r Remainder from the division.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_2048_div_16(sp_digit* a, sp_digit* d, sp_digit* m,
sp_digit* r)
{
sp_digit t1[32], t2[17];
sp_digit div, r1;
int i;
(void)m;
div = d[15];
XMEMCPY(t1, a, sizeof(*t1) * 2 * 16);
for (i=15; i>=0; i--) {
r1 = div_2048_word_16(t1[16 + i], t1[16 + i - 1], div);
sp_2048_mul_d_16(t2, d, r1);
t1[16 + i] += sp_2048_sub_in_place_16(&t1[i], t2);
t1[16 + i] -= t2[16];
sp_2048_mask_16(t2, d, t1[16 + i]);
t1[16 + i] += sp_2048_add_16(&t1[i], &t1[i], t2);
sp_2048_mask_16(t2, d, t1[16 + i]);
t1[16 + i] += sp_2048_add_16(&t1[i], &t1[i], t2);
}
r1 = sp_2048_cmp_16(t1, d) >= 0;
sp_2048_cond_sub_16(r, t1, t2, (sp_digit)0 - r1);
return MP_OKAY;
}
/* Reduce a modulo m into r. (r = a mod m)
*
* r A single precision number that is the reduced result.
* a A single precision number that is to be reduced.
* m A single precision number that is the modulus to reduce with.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_2048_mod_16(sp_digit* r, sp_digit* a, sp_digit* m)
{
return sp_2048_div_16(a, m, NULL, r);
}
#ifdef WOLFSSL_SP_SMALL
/* Modular exponentiate a to the e mod m. (r = a^e mod m)
*
* r A single precision number that is the result of the operation.
* a A single precision number being exponentiated.
* e A single precision number that is the exponent.
* bits The number of bits in the exponent.
* m A single precision number that is the modulus.
* returns 0 on success and MEMORY_E on dynamic memory allocation failure.
*/
static int sp_2048_mod_exp_16(sp_digit* r, sp_digit* a, sp_digit* e,
int bits, sp_digit* m, int reduceA)
{
#ifndef WOLFSSL_SMALL_STACK
sp_digit t[16][32];
#else
sp_digit* t[16];
sp_digit* td;
#endif
sp_digit* norm;
sp_digit mp = 1;
sp_digit n;
sp_digit mask;
int i;
int c, y;
int err = MP_OKAY;
#ifdef WOLFSSL_SMALL_STACK
td = (sp_digit*)XMALLOC(sizeof(sp_digit) * 16 * 32, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (td == NULL)
err = MEMORY_E;
if (err == MP_OKAY) {
for (i=0; i<16; i++)
t[i] = td + i * 32;
norm = t[0];
}
#else
norm = t[0];
#endif
if (err == MP_OKAY) {
sp_2048_mont_setup(m, &mp);
sp_2048_mont_norm_16(norm, m);
XMEMSET(t[1], 0, sizeof(sp_digit) * 16);
if (reduceA) {
err = sp_2048_mod_16(t[1] + 16, a, m);
if (err == MP_OKAY)
err = sp_2048_mod_16(t[1], t[1], m);
}
else {
XMEMCPY(t[1] + 16, a, sizeof(sp_digit) * 16);
err = sp_2048_mod_16(t[1], t[1], m);
}
}
if (err == MP_OKAY) {
sp_2048_mont_sqr_16(t[ 2], t[ 1], m, mp);
sp_2048_mont_mul_16(t[ 3], t[ 2], t[ 1], m, mp);
sp_2048_mont_sqr_16(t[ 4], t[ 2], m, mp);
sp_2048_mont_mul_16(t[ 5], t[ 3], t[ 2], m, mp);
sp_2048_mont_sqr_16(t[ 6], t[ 3], m, mp);
sp_2048_mont_mul_16(t[ 7], t[ 4], t[ 3], m, mp);
sp_2048_mont_sqr_16(t[ 8], t[ 4], m, mp);
sp_2048_mont_mul_16(t[ 9], t[ 5], t[ 4], m, mp);
sp_2048_mont_sqr_16(t[10], t[ 5], m, mp);
sp_2048_mont_mul_16(t[11], t[ 6], t[ 5], m, mp);
sp_2048_mont_sqr_16(t[12], t[ 6], m, mp);
sp_2048_mont_mul_16(t[13], t[ 7], t[ 6], m, mp);
sp_2048_mont_sqr_16(t[14], t[ 7], m, mp);
sp_2048_mont_mul_16(t[15], t[ 8], t[ 7], m, mp);
i = (bits - 1) / 64;
n = e[i--];
y = n >> 60;
n <<= 4;
c = 60;
XMEMCPY(r, t[y], sizeof(sp_digit) * 16);
for (; i>=0 || c>=4; ) {
if (c == 0) {
n = e[i--];
y = n >> 60;
n <<= 4;
c = 60;
}
else if (c < 4) {
y = n >> 60;
n = e[i--];
c = 4 - c;
y |= n >> (64 - c);
n <<= c;
c = 64 - c;
}
else {
y = (n >> 60) & 0xf;
n <<= 4;
c -= 4;
}
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_mul_16(r, r, t[y], m, mp);
}
XMEMSET(&r[16], 0, sizeof(sp_digit) * 16);
sp_2048_mont_reduce_16(r, m, mp);
mask = 0 - (sp_2048_cmp_16(r, m) >= 0);
sp_2048_cond_sub_16(r, r, m, mask);
}
#ifdef WOLFSSL_SMALL_STACK
if (td != NULL)
XFREE(td, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
#else
/* Modular exponentiate a to the e mod m. (r = a^e mod m)
*
* r A single precision number that is the result of the operation.
* a A single precision number being exponentiated.
* e A single precision number that is the exponent.
* bits The number of bits in the exponent.
* m A single precision number that is the modulus.
* returns 0 on success and MEMORY_E on dynamic memory allocation failure.
*/
static int sp_2048_mod_exp_16(sp_digit* r, sp_digit* a, sp_digit* e,
int bits, sp_digit* m, int reduceA)
{
#ifndef WOLFSSL_SMALL_STACK
sp_digit t[32][32];
#else
sp_digit* t[32];
sp_digit* td;
#endif
sp_digit* norm;
sp_digit mp = 1;
sp_digit n;
sp_digit mask;
int i;
int c, y;
int err = MP_OKAY;
#ifdef WOLFSSL_SMALL_STACK
td = (sp_digit*)XMALLOC(sizeof(sp_digit) * 32 * 32, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (td == NULL)
err = MEMORY_E;
if (err == MP_OKAY) {
for (i=0; i<32; i++)
t[i] = td + i * 32;
norm = t[0];
}
#else
norm = t[0];
#endif
if (err == MP_OKAY) {
sp_2048_mont_setup(m, &mp);
sp_2048_mont_norm_16(norm, m);
XMEMSET(t[1], 0, sizeof(sp_digit) * 16);
if (reduceA) {
err = sp_2048_mod_16(t[1] + 16, a, m);
if (err == MP_OKAY)
err = sp_2048_mod_16(t[1], t[1], m);
}
else {
XMEMCPY(t[1] + 16, a, sizeof(sp_digit) * 16);
err = sp_2048_mod_16(t[1], t[1], m);
}
}
if (err == MP_OKAY) {
sp_2048_mont_sqr_16(t[ 2], t[ 1], m, mp);
sp_2048_mont_mul_16(t[ 3], t[ 2], t[ 1], m, mp);
sp_2048_mont_sqr_16(t[ 4], t[ 2], m, mp);
sp_2048_mont_mul_16(t[ 5], t[ 3], t[ 2], m, mp);
sp_2048_mont_sqr_16(t[ 6], t[ 3], m, mp);
sp_2048_mont_mul_16(t[ 7], t[ 4], t[ 3], m, mp);
sp_2048_mont_sqr_16(t[ 8], t[ 4], m, mp);
sp_2048_mont_mul_16(t[ 9], t[ 5], t[ 4], m, mp);
sp_2048_mont_sqr_16(t[10], t[ 5], m, mp);
sp_2048_mont_mul_16(t[11], t[ 6], t[ 5], m, mp);
sp_2048_mont_sqr_16(t[12], t[ 6], m, mp);
sp_2048_mont_mul_16(t[13], t[ 7], t[ 6], m, mp);
sp_2048_mont_sqr_16(t[14], t[ 7], m, mp);
sp_2048_mont_mul_16(t[15], t[ 8], t[ 7], m, mp);
sp_2048_mont_sqr_16(t[16], t[ 8], m, mp);
sp_2048_mont_mul_16(t[17], t[ 9], t[ 8], m, mp);
sp_2048_mont_sqr_16(t[18], t[ 9], m, mp);
sp_2048_mont_mul_16(t[19], t[10], t[ 9], m, mp);
sp_2048_mont_sqr_16(t[20], t[10], m, mp);
sp_2048_mont_mul_16(t[21], t[11], t[10], m, mp);
sp_2048_mont_sqr_16(t[22], t[11], m, mp);
sp_2048_mont_mul_16(t[23], t[12], t[11], m, mp);
sp_2048_mont_sqr_16(t[24], t[12], m, mp);
sp_2048_mont_mul_16(t[25], t[13], t[12], m, mp);
sp_2048_mont_sqr_16(t[26], t[13], m, mp);
sp_2048_mont_mul_16(t[27], t[14], t[13], m, mp);
sp_2048_mont_sqr_16(t[28], t[14], m, mp);
sp_2048_mont_mul_16(t[29], t[15], t[14], m, mp);
sp_2048_mont_sqr_16(t[30], t[15], m, mp);
sp_2048_mont_mul_16(t[31], t[16], t[15], m, mp);
i = (bits - 1) / 64;
n = e[i--];
y = n >> 59;
n <<= 5;
c = 59;
XMEMCPY(r, t[y], sizeof(sp_digit) * 16);
for (; i>=0 || c>=5; ) {
if (c == 0) {
n = e[i--];
y = n >> 59;
n <<= 5;
c = 59;
}
else if (c < 5) {
y = n >> 59;
n = e[i--];
c = 5 - c;
y |= n >> (64 - c);
n <<= c;
c = 64 - c;
}
else {
y = (n >> 59) & 0x1f;
n <<= 5;
c -= 5;
}
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_mul_16(r, r, t[y], m, mp);
}
y = e[0] & 0xf;
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_sqr_16(r, r, m, mp);
sp_2048_mont_mul_16(r, r, t[y], m, mp);
XMEMSET(&r[16], 0, sizeof(sp_digit) * 16);
sp_2048_mont_reduce_16(r, m, mp);
mask = 0 - (sp_2048_cmp_16(r, m) >= 0);
sp_2048_cond_sub_16(r, r, m, mask);
}
#ifdef WOLFSSL_SMALL_STACK
if (td != NULL)
XFREE(td, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
#endif /* WOLFSSL_SP_SMALL */
#endif /* !SP_RSA_PRIVATE_EXP_D && WOLFSSL_HAVE_SP_RSA */
/* r = 2^n mod m where n is the number of bits to reduce by.
* Given m must be 2048 bits, just need to subtract.
*
* r A single precision number.
* m A signle precision number.
*/
static void sp_2048_mont_norm_32(sp_digit* r, sp_digit* m)
{
XMEMSET(r, 0, sizeof(sp_digit) * 32);
/* r = 2^n mod m */
sp_2048_sub_in_place_32(r, m);
}
/* Conditionally subtract b from a using the mask m.
* m is -1 to subtract and 0 when not copying.
*
* r A single precision number representing condition subtract result.
* a A single precision number to subtract from.
* b A single precision number to subtract.
* m Mask value to apply.
*/
static sp_digit sp_2048_cond_sub_32(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit m)
{
sp_digit c = 0;
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"mov x8, #0\n\t"
"1:\n\t"
"subs %[c], xzr, %[c]\n\t"
"ldr x4, [%[a], x8]\n\t"
"ldr x5, [%[b], x8]\n\t"
"and x5, x5, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"csetm %[c], cc\n\t"
"str x4, [%[r], x8]\n\t"
"add x8, x8, #8\n\t"
"cmp x8, 256\n\t"
"b.lt 1b\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x6", "x5", "x7", "x8"
);
#else
__asm__ __volatile__ (
"ldr x4, [%[a], 0]\n\t"
"ldr x6, [%[a], 8]\n\t"
"ldr x5, [%[b], 0]\n\t"
"ldr x7, [%[b], 8]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"subs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 0]\n\t"
"str x6, [%[r], 8]\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x6, [%[a], 24]\n\t"
"ldr x5, [%[b], 16]\n\t"
"ldr x7, [%[b], 24]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 16]\n\t"
"str x6, [%[r], 24]\n\t"
"ldr x4, [%[a], 32]\n\t"
"ldr x6, [%[a], 40]\n\t"
"ldr x5, [%[b], 32]\n\t"
"ldr x7, [%[b], 40]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 32]\n\t"
"str x6, [%[r], 40]\n\t"
"ldr x4, [%[a], 48]\n\t"
"ldr x6, [%[a], 56]\n\t"
"ldr x5, [%[b], 48]\n\t"
"ldr x7, [%[b], 56]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 48]\n\t"
"str x6, [%[r], 56]\n\t"
"ldr x4, [%[a], 64]\n\t"
"ldr x6, [%[a], 72]\n\t"
"ldr x5, [%[b], 64]\n\t"
"ldr x7, [%[b], 72]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 64]\n\t"
"str x6, [%[r], 72]\n\t"
"ldr x4, [%[a], 80]\n\t"
"ldr x6, [%[a], 88]\n\t"
"ldr x5, [%[b], 80]\n\t"
"ldr x7, [%[b], 88]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 80]\n\t"
"str x6, [%[r], 88]\n\t"
"ldr x4, [%[a], 96]\n\t"
"ldr x6, [%[a], 104]\n\t"
"ldr x5, [%[b], 96]\n\t"
"ldr x7, [%[b], 104]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 96]\n\t"
"str x6, [%[r], 104]\n\t"
"ldr x4, [%[a], 112]\n\t"
"ldr x6, [%[a], 120]\n\t"
"ldr x5, [%[b], 112]\n\t"
"ldr x7, [%[b], 120]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 112]\n\t"
"str x6, [%[r], 120]\n\t"
"ldr x4, [%[a], 128]\n\t"
"ldr x6, [%[a], 136]\n\t"
"ldr x5, [%[b], 128]\n\t"
"ldr x7, [%[b], 136]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 128]\n\t"
"str x6, [%[r], 136]\n\t"
"ldr x4, [%[a], 144]\n\t"
"ldr x6, [%[a], 152]\n\t"
"ldr x5, [%[b], 144]\n\t"
"ldr x7, [%[b], 152]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 144]\n\t"
"str x6, [%[r], 152]\n\t"
"ldr x4, [%[a], 160]\n\t"
"ldr x6, [%[a], 168]\n\t"
"ldr x5, [%[b], 160]\n\t"
"ldr x7, [%[b], 168]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 160]\n\t"
"str x6, [%[r], 168]\n\t"
"ldr x4, [%[a], 176]\n\t"
"ldr x6, [%[a], 184]\n\t"
"ldr x5, [%[b], 176]\n\t"
"ldr x7, [%[b], 184]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 176]\n\t"
"str x6, [%[r], 184]\n\t"
"ldr x4, [%[a], 192]\n\t"
"ldr x6, [%[a], 200]\n\t"
"ldr x5, [%[b], 192]\n\t"
"ldr x7, [%[b], 200]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 192]\n\t"
"str x6, [%[r], 200]\n\t"
"ldr x4, [%[a], 208]\n\t"
"ldr x6, [%[a], 216]\n\t"
"ldr x5, [%[b], 208]\n\t"
"ldr x7, [%[b], 216]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 208]\n\t"
"str x6, [%[r], 216]\n\t"
"ldr x4, [%[a], 224]\n\t"
"ldr x6, [%[a], 232]\n\t"
"ldr x5, [%[b], 224]\n\t"
"ldr x7, [%[b], 232]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 224]\n\t"
"str x6, [%[r], 232]\n\t"
"ldr x4, [%[a], 240]\n\t"
"ldr x6, [%[a], 248]\n\t"
"ldr x5, [%[b], 240]\n\t"
"ldr x7, [%[b], 248]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 240]\n\t"
"str x6, [%[r], 248]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x6", "x5", "x7", "x8"
);
#endif /* WOLFSSL_SP_SMALL */
return c;
}
/* Reduce the number back to 2048 bits using Montgomery reduction.
*
* a A single precision number to reduce in place.
* m The single precision number representing the modulus.
* mp The digit representing the negative inverse of m mod 2^n.
*/
SP_NOINLINE static void sp_2048_mont_reduce_32(sp_digit* a, sp_digit* m,
sp_digit mp)
{
sp_digit ca = 0;
__asm__ __volatile__ (
"ldp x12, x13, [%[m], 0]\n\t"
"ldp x14, x15, [%[m], 16]\n\t"
"ldp x16, x17, [%[m], 32]\n\t"
"ldp x18, x19, [%[m], 48]\n\t"
"ldp x20, x21, [%[m], 64]\n\t"
"ldp x22, x23, [%[m], 80]\n\t"
"ldp x24, x25, [%[m], 96]\n\t"
"ldp x26, x27, [%[m], 112]\n\t"
"# i = 0\n\t"
"mov x3, 0\n\t"
"ldp x10, x11, [%[a], 0]\n\t"
"\n1:\n\t"
"# mu = a[i] * mp\n\t"
"mul x8, %[mp], x10\n\t"
"# a[i+0] += m[0] * mu\n\t"
"ldr x9, [%[a], 0]\n\t"
"mul x6, x12, x8\n\t"
"umulh x7, x12, x8\n\t"
"adds x10, x10, x6\n\t"
"adc x5, x7, xzr\n\t"
"# a[i+1] += m[1] * mu\n\t"
"ldr x9, [%[a], 8]\n\t"
"mul x6, x13, x8\n\t"
"umulh x7, x13, x8\n\t"
"adds x10, x11, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x10, x10, x5\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+2] += m[2] * mu\n\t"
"ldr x11, [%[a], 16]\n\t"
"mul x6, x14, x8\n\t"
"umulh x7, x14, x8\n\t"
"adds x11, x11, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x11, x11, x4\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+3] += m[3] * mu\n\t"
"ldr x9, [%[a], 24]\n\t"
"mul x6, x15, x8\n\t"
"umulh x7, x15, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 24]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+4] += m[4] * mu\n\t"
"ldr x9, [%[a], 32]\n\t"
"mul x6, x16, x8\n\t"
"umulh x7, x16, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 32]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+5] += m[5] * mu\n\t"
"ldr x9, [%[a], 40]\n\t"
"mul x6, x17, x8\n\t"
"umulh x7, x17, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 40]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+6] += m[6] * mu\n\t"
"ldr x9, [%[a], 48]\n\t"
"mul x6, x18, x8\n\t"
"umulh x7, x18, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 48]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+7] += m[7] * mu\n\t"
"ldr x9, [%[a], 56]\n\t"
"mul x6, x19, x8\n\t"
"umulh x7, x19, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 56]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+8] += m[8] * mu\n\t"
"ldr x9, [%[a], 64]\n\t"
"mul x6, x20, x8\n\t"
"umulh x7, x20, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 64]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+9] += m[9] * mu\n\t"
"ldr x9, [%[a], 72]\n\t"
"mul x6, x21, x8\n\t"
"umulh x7, x21, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 72]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+10] += m[10] * mu\n\t"
"ldr x9, [%[a], 80]\n\t"
"mul x6, x22, x8\n\t"
"umulh x7, x22, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 80]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+11] += m[11] * mu\n\t"
"ldr x9, [%[a], 88]\n\t"
"mul x6, x23, x8\n\t"
"umulh x7, x23, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 88]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+12] += m[12] * mu\n\t"
"ldr x9, [%[a], 96]\n\t"
"mul x6, x24, x8\n\t"
"umulh x7, x24, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 96]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+13] += m[13] * mu\n\t"
"ldr x9, [%[a], 104]\n\t"
"mul x6, x25, x8\n\t"
"umulh x7, x25, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 104]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+14] += m[14] * mu\n\t"
"ldr x9, [%[a], 112]\n\t"
"mul x6, x26, x8\n\t"
"umulh x7, x26, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 112]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+15] += m[15] * mu\n\t"
"ldr x9, [%[a], 120]\n\t"
"mul x6, x27, x8\n\t"
"umulh x7, x27, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 120]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+16] += m[16] * mu\n\t"
"ldr x7, [%[m], 128]\n\t"
"ldr x9, [%[a], 128]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 128]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+17] += m[17] * mu\n\t"
"ldr x7, [%[m], 136]\n\t"
"ldr x9, [%[a], 136]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 136]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+18] += m[18] * mu\n\t"
"ldr x7, [%[m], 144]\n\t"
"ldr x9, [%[a], 144]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 144]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+19] += m[19] * mu\n\t"
"ldr x7, [%[m], 152]\n\t"
"ldr x9, [%[a], 152]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 152]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+20] += m[20] * mu\n\t"
"ldr x7, [%[m], 160]\n\t"
"ldr x9, [%[a], 160]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 160]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+21] += m[21] * mu\n\t"
"ldr x7, [%[m], 168]\n\t"
"ldr x9, [%[a], 168]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 168]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+22] += m[22] * mu\n\t"
"ldr x7, [%[m], 176]\n\t"
"ldr x9, [%[a], 176]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 176]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+23] += m[23] * mu\n\t"
"ldr x7, [%[m], 184]\n\t"
"ldr x9, [%[a], 184]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 184]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+24] += m[24] * mu\n\t"
"ldr x7, [%[m], 192]\n\t"
"ldr x9, [%[a], 192]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 192]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+25] += m[25] * mu\n\t"
"ldr x7, [%[m], 200]\n\t"
"ldr x9, [%[a], 200]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 200]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+26] += m[26] * mu\n\t"
"ldr x7, [%[m], 208]\n\t"
"ldr x9, [%[a], 208]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 208]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+27] += m[27] * mu\n\t"
"ldr x7, [%[m], 216]\n\t"
"ldr x9, [%[a], 216]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 216]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+28] += m[28] * mu\n\t"
"ldr x7, [%[m], 224]\n\t"
"ldr x9, [%[a], 224]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 224]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+29] += m[29] * mu\n\t"
"ldr x7, [%[m], 232]\n\t"
"ldr x9, [%[a], 232]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 232]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+30] += m[30] * mu\n\t"
"ldr x7, [%[m], 240]\n\t"
"ldr x9, [%[a], 240]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 240]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+31] += m[31] * mu\n\t"
"ldr x7, [%[m], 248]\n\t"
"ldr x9, [%[a], 248]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x7, x7, %[ca]\n\t"
"cset %[ca], cs\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 248]\n\t"
"ldr x9, [%[a], 256]\n\t"
"adcs x9, x9, x7\n\t"
"str x9, [%[a], 256]\n\t"
"adc %[ca], %[ca], xzr\n\t"
"# i += 1\n\t"
"add %[a], %[a], 8\n\t"
"add x3, x3, 8\n\t"
"cmp x3, 256\n\t"
"blt 1b\n\t"
"str x10, [%[a], 0]\n\t"
"str x11, [%[a], 8]\n\t"
: [ca] "+r" (ca), [a] "+r" (a)
: [m] "r" (m), [mp] "r" (mp)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17", "x18", "x19", "x20", "x21", "x22", "x23", "x24", "x25", "x26", "x27"
);
sp_2048_cond_sub_32(a - 32, a, m, (sp_digit)0 - ca);
}
/* Multiply two Montogmery form numbers mod the modulus (prime).
* (r = a * b mod m)
*
* r Result of multiplication.
* a First number to multiply in Montogmery form.
* b Second number to multiply in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
static void sp_2048_mont_mul_32(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit* m, sp_digit mp)
{
sp_2048_mul_32(r, a, b);
sp_2048_mont_reduce_32(r, m, mp);
}
/* Square the Montgomery form number. (r = a * a mod m)
*
* r Result of squaring.
* a Number to square in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
static void sp_2048_mont_sqr_32(sp_digit* r, sp_digit* a, sp_digit* m,
sp_digit mp)
{
sp_2048_sqr_32(r, a);
sp_2048_mont_reduce_32(r, m, mp);
}
/* Mul a by digit b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision digit.
*/
static void sp_2048_mul_d_32(sp_digit* r, const sp_digit* a,
const sp_digit b)
{
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"# A[0] * B\n\t"
"ldr x8, [%[a]]\n\t"
"mul x5, %[b], x8\n\t"
"umulh x3, %[b], x8\n\t"
"mov x4, 0\n\t"
"str x5, [%[r]]\n\t"
"mov x5, 0\n\t"
"mov x9, #8\n\t"
"1:\n\t"
"ldr x8, [%[a], x9]\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], x9]\n\t"
"mov x3, x4\n\t"
"mov x4, x5\n\t"
"mov x5, #0\n\t"
"add x9, x9, #8\n\t"
"cmp x9, 256\n\t"
"b.lt 1b\n\t"
"str x3, [%[r], 256]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
#else
__asm__ __volatile__ (
"# A[0] * B\n\t"
"ldr x8, [%[a]]\n\t"
"mul x3, %[b], x8\n\t"
"umulh x4, %[b], x8\n\t"
"mov x5, 0\n\t"
"str x3, [%[r]]\n\t"
"# A[1] * B\n\t"
"ldr x8, [%[a], 8]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 8]\n\t"
"# A[2] * B\n\t"
"ldr x8, [%[a], 16]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 16]\n\t"
"# A[3] * B\n\t"
"ldr x8, [%[a], 24]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 24]\n\t"
"# A[4] * B\n\t"
"ldr x8, [%[a], 32]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 32]\n\t"
"# A[5] * B\n\t"
"ldr x8, [%[a], 40]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 40]\n\t"
"# A[6] * B\n\t"
"ldr x8, [%[a], 48]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 48]\n\t"
"# A[7] * B\n\t"
"ldr x8, [%[a], 56]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 56]\n\t"
"# A[8] * B\n\t"
"ldr x8, [%[a], 64]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 64]\n\t"
"# A[9] * B\n\t"
"ldr x8, [%[a], 72]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 72]\n\t"
"# A[10] * B\n\t"
"ldr x8, [%[a], 80]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 80]\n\t"
"# A[11] * B\n\t"
"ldr x8, [%[a], 88]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 88]\n\t"
"# A[12] * B\n\t"
"ldr x8, [%[a], 96]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 96]\n\t"
"# A[13] * B\n\t"
"ldr x8, [%[a], 104]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 104]\n\t"
"# A[14] * B\n\t"
"ldr x8, [%[a], 112]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 112]\n\t"
"# A[15] * B\n\t"
"ldr x8, [%[a], 120]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 120]\n\t"
"# A[16] * B\n\t"
"ldr x8, [%[a], 128]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 128]\n\t"
"# A[17] * B\n\t"
"ldr x8, [%[a], 136]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 136]\n\t"
"# A[18] * B\n\t"
"ldr x8, [%[a], 144]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 144]\n\t"
"# A[19] * B\n\t"
"ldr x8, [%[a], 152]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 152]\n\t"
"# A[20] * B\n\t"
"ldr x8, [%[a], 160]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 160]\n\t"
"# A[21] * B\n\t"
"ldr x8, [%[a], 168]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 168]\n\t"
"# A[22] * B\n\t"
"ldr x8, [%[a], 176]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 176]\n\t"
"# A[23] * B\n\t"
"ldr x8, [%[a], 184]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 184]\n\t"
"# A[24] * B\n\t"
"ldr x8, [%[a], 192]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 192]\n\t"
"# A[25] * B\n\t"
"ldr x8, [%[a], 200]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 200]\n\t"
"# A[26] * B\n\t"
"ldr x8, [%[a], 208]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 208]\n\t"
"# A[27] * B\n\t"
"ldr x8, [%[a], 216]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 216]\n\t"
"# A[28] * B\n\t"
"ldr x8, [%[a], 224]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 224]\n\t"
"# A[29] * B\n\t"
"ldr x8, [%[a], 232]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 232]\n\t"
"# A[30] * B\n\t"
"ldr x8, [%[a], 240]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 240]\n\t"
"# A[31] * B\n\t"
"ldr x8, [%[a], 248]\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adc x5, x5, x7\n\t"
"str x4, [%[r], 248]\n\t"
"str x5, [%[r], 256]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
#endif
}
/* Divide the double width number (d1|d0) by the dividend. (d1|d0 / div)
*
* d1 The high order half of the number to divide.
* d0 The low order half of the number to divide.
* div The dividend.
* returns the result of the division.
*/
static sp_digit div_2048_word_32(sp_digit d1, sp_digit d0, sp_digit div)
{
sp_digit r;
__asm__ __volatile__ (
"lsr x5, %[div], 32\n\t"
"add x5, x5, 1\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x6, x3, 32\n\t"
"mul x4, %[div], x6\n\t"
"umulh x3, %[div], x6\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x3, x3, 32\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d0], %[div]\n\t"
"add x6, x6, x3\n\t"
"mul x3, %[div], x3\n\t"
"sub %[d0], %[d0], x3\n\t"
"mov %[r], x6\n\t"
: [r] "=r" (r)
: [d1] "r" (d1), [d0] "r" (d0), [div] "r" (div)
: "x3", "x4", "x5", "x6"
);
return r;
}
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_2048_mask_32(sp_digit* r, sp_digit* a, sp_digit m)
{
#ifdef WOLFSSL_SP_SMALL
int i;
for (i=0; i<32; i++)
r[i] = a[i] & m;
#else
int i;
for (i = 0; i < 32; i += 8) {
r[i+0] = a[i+0] & m;
r[i+1] = a[i+1] & m;
r[i+2] = a[i+2] & m;
r[i+3] = a[i+3] & m;
r[i+4] = a[i+4] & m;
r[i+5] = a[i+5] & m;
r[i+6] = a[i+6] & m;
r[i+7] = a[i+7] & m;
}
#endif
}
/* Compare a with b in constant time.
*
* a A single precision integer.
* b A single precision integer.
* return -ve, 0 or +ve if a is less than, equal to or greater than b
* respectively.
*/
static int64_t sp_2048_cmp_32(sp_digit* a, sp_digit* b)
{
sp_digit r = -1;
sp_digit one = 1;
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"mov x3, -1\n\t"
"mov x6, 248\n\t"
"1:\n\t"
"ldr x4, [%[a], x6]\n\t"
"ldr x5, [%[b], x6]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"sub x6, x6, #8\n\t"
"b.cc 1b\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#else
__asm__ __volatile__ (
"mov x3, -1\n\t"
"ldr x4, [%[a], 248]\n\t"
"ldr x5, [%[b], 248]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 240]\n\t"
"ldr x5, [%[b], 240]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 232]\n\t"
"ldr x5, [%[b], 232]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 224]\n\t"
"ldr x5, [%[b], 224]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 216]\n\t"
"ldr x5, [%[b], 216]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 208]\n\t"
"ldr x5, [%[b], 208]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 200]\n\t"
"ldr x5, [%[b], 200]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 192]\n\t"
"ldr x5, [%[b], 192]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 184]\n\t"
"ldr x5, [%[b], 184]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 176]\n\t"
"ldr x5, [%[b], 176]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 168]\n\t"
"ldr x5, [%[b], 168]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 160]\n\t"
"ldr x5, [%[b], 160]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 152]\n\t"
"ldr x5, [%[b], 152]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 144]\n\t"
"ldr x5, [%[b], 144]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 136]\n\t"
"ldr x5, [%[b], 136]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 128]\n\t"
"ldr x5, [%[b], 128]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 120]\n\t"
"ldr x5, [%[b], 120]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 112]\n\t"
"ldr x5, [%[b], 112]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 104]\n\t"
"ldr x5, [%[b], 104]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 96]\n\t"
"ldr x5, [%[b], 96]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 88]\n\t"
"ldr x5, [%[b], 88]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 80]\n\t"
"ldr x5, [%[b], 80]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 72]\n\t"
"ldr x5, [%[b], 72]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 64]\n\t"
"ldr x5, [%[b], 64]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 56]\n\t"
"ldr x5, [%[b], 56]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 48]\n\t"
"ldr x5, [%[b], 48]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 40]\n\t"
"ldr x5, [%[b], 40]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 32]\n\t"
"ldr x5, [%[b], 32]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 24]\n\t"
"ldr x5, [%[b], 24]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x5, [%[b], 16]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 8]\n\t"
"ldr x5, [%[b], 8]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 0]\n\t"
"ldr x5, [%[b], 0]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#endif
return r;
}
/* Divide d in a and put remainder into r (m*d + r = a)
* m is not calculated as it is not needed at this time.
*
* a Nmber to be divided.
* d Number to divide with.
* m Multiplier result.
* r Remainder from the division.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_2048_div_32(sp_digit* a, sp_digit* d, sp_digit* m,
sp_digit* r)
{
sp_digit t1[64], t2[33];
sp_digit div, r1;
int i;
(void)m;
div = d[31];
XMEMCPY(t1, a, sizeof(*t1) * 2 * 32);
for (i=31; i>=0; i--) {
r1 = div_2048_word_32(t1[32 + i], t1[32 + i - 1], div);
sp_2048_mul_d_32(t2, d, r1);
t1[32 + i] += sp_2048_sub_in_place_32(&t1[i], t2);
t1[32 + i] -= t2[32];
sp_2048_mask_32(t2, d, t1[32 + i]);
t1[32 + i] += sp_2048_add_32(&t1[i], &t1[i], t2);
sp_2048_mask_32(t2, d, t1[32 + i]);
t1[32 + i] += sp_2048_add_32(&t1[i], &t1[i], t2);
}
r1 = sp_2048_cmp_32(t1, d) >= 0;
sp_2048_cond_sub_32(r, t1, t2, (sp_digit)0 - r1);
return MP_OKAY;
}
/* Reduce a modulo m into r. (r = a mod m)
*
* r A single precision number that is the reduced result.
* a A single precision number that is to be reduced.
* m A single precision number that is the modulus to reduce with.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_2048_mod_32(sp_digit* r, sp_digit* a, sp_digit* m)
{
return sp_2048_div_32(a, m, NULL, r);
}
/* Divide d in a and put remainder into r (m*d + r = a)
* m is not calculated as it is not needed at this time.
*
* a Nmber to be divided.
* d Number to divide with.
* m Multiplier result.
* r Remainder from the division.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_2048_div_32_cond(sp_digit* a, sp_digit* d, sp_digit* m,
sp_digit* r)
{
sp_digit t1[64], t2[33];
sp_digit div, r1;
int i;
(void)m;
div = d[31];
XMEMCPY(t1, a, sizeof(*t1) * 2 * 32);
for (i=31; i>=0; i--) {
r1 = div_2048_word_32(t1[32 + i], t1[32 + i - 1], div);
sp_2048_mul_d_32(t2, d, r1);
t1[32 + i] += sp_2048_sub_in_place_32(&t1[i], t2);
t1[32 + i] -= t2[32];
if (t1[32 + i] != 0) {
t1[32 + i] += sp_2048_add_32(&t1[i], &t1[i], d);
if (t1[32 + i] != 0)
t1[32 + i] += sp_2048_add_32(&t1[i], &t1[i], d);
}
}
r1 = sp_2048_cmp_32(t1, d) >= 0;
sp_2048_cond_sub_32(r, t1, t2, (sp_digit)0 - r1);
return MP_OKAY;
}
/* Reduce a modulo m into r. (r = a mod m)
*
* r A single precision number that is the reduced result.
* a A single precision number that is to be reduced.
* m A single precision number that is the modulus to reduce with.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_2048_mod_32_cond(sp_digit* r, sp_digit* a, sp_digit* m)
{
return sp_2048_div_32_cond(a, m, NULL, r);
}
#if defined(SP_RSA_PRIVATE_EXP_D) || defined(WOLFSSL_HAVE_SP_DH)
#ifdef WOLFSSL_SP_SMALL
/* Modular exponentiate a to the e mod m. (r = a^e mod m)
*
* r A single precision number that is the result of the operation.
* a A single precision number being exponentiated.
* e A single precision number that is the exponent.
* bits The number of bits in the exponent.
* m A single precision number that is the modulus.
* returns 0 on success and MEMORY_E on dynamic memory allocation failure.
*/
static int sp_2048_mod_exp_32(sp_digit* r, sp_digit* a, sp_digit* e,
int bits, sp_digit* m, int reduceA)
{
#ifndef WOLFSSL_SMALL_STACK
sp_digit t[16][64];
#else
sp_digit* t[16];
sp_digit* td;
#endif
sp_digit* norm;
sp_digit mp = 1;
sp_digit n;
sp_digit mask;
int i;
int c, y;
int err = MP_OKAY;
#ifdef WOLFSSL_SMALL_STACK
td = (sp_digit*)XMALLOC(sizeof(sp_digit) * 16 * 64, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (td == NULL)
err = MEMORY_E;
if (err == MP_OKAY) {
for (i=0; i<16; i++)
t[i] = td + i * 64;
norm = t[0];
}
#else
norm = t[0];
#endif
if (err == MP_OKAY) {
sp_2048_mont_setup(m, &mp);
sp_2048_mont_norm_32(norm, m);
XMEMSET(t[1], 0, sizeof(sp_digit) * 32);
if (reduceA) {
err = sp_2048_mod_32(t[1] + 32, a, m);
if (err == MP_OKAY)
err = sp_2048_mod_32(t[1], t[1], m);
}
else {
XMEMCPY(t[1] + 32, a, sizeof(sp_digit) * 32);
err = sp_2048_mod_32(t[1], t[1], m);
}
}
if (err == MP_OKAY) {
sp_2048_mont_sqr_32(t[ 2], t[ 1], m, mp);
sp_2048_mont_mul_32(t[ 3], t[ 2], t[ 1], m, mp);
sp_2048_mont_sqr_32(t[ 4], t[ 2], m, mp);
sp_2048_mont_mul_32(t[ 5], t[ 3], t[ 2], m, mp);
sp_2048_mont_sqr_32(t[ 6], t[ 3], m, mp);
sp_2048_mont_mul_32(t[ 7], t[ 4], t[ 3], m, mp);
sp_2048_mont_sqr_32(t[ 8], t[ 4], m, mp);
sp_2048_mont_mul_32(t[ 9], t[ 5], t[ 4], m, mp);
sp_2048_mont_sqr_32(t[10], t[ 5], m, mp);
sp_2048_mont_mul_32(t[11], t[ 6], t[ 5], m, mp);
sp_2048_mont_sqr_32(t[12], t[ 6], m, mp);
sp_2048_mont_mul_32(t[13], t[ 7], t[ 6], m, mp);
sp_2048_mont_sqr_32(t[14], t[ 7], m, mp);
sp_2048_mont_mul_32(t[15], t[ 8], t[ 7], m, mp);
i = (bits - 1) / 64;
n = e[i--];
y = n >> 60;
n <<= 4;
c = 60;
XMEMCPY(r, t[y], sizeof(sp_digit) * 32);
for (; i>=0 || c>=4; ) {
if (c == 0) {
n = e[i--];
y = n >> 60;
n <<= 4;
c = 60;
}
else if (c < 4) {
y = n >> 60;
n = e[i--];
c = 4 - c;
y |= n >> (64 - c);
n <<= c;
c = 64 - c;
}
else {
y = (n >> 60) & 0xf;
n <<= 4;
c -= 4;
}
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_mul_32(r, r, t[y], m, mp);
}
XMEMSET(&r[32], 0, sizeof(sp_digit) * 32);
sp_2048_mont_reduce_32(r, m, mp);
mask = 0 - (sp_2048_cmp_32(r, m) >= 0);
sp_2048_cond_sub_32(r, r, m, mask);
}
#ifdef WOLFSSL_SMALL_STACK
if (td != NULL)
XFREE(td, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
#else
/* Modular exponentiate a to the e mod m. (r = a^e mod m)
*
* r A single precision number that is the result of the operation.
* a A single precision number being exponentiated.
* e A single precision number that is the exponent.
* bits The number of bits in the exponent.
* m A single precision number that is the modulus.
* returns 0 on success and MEMORY_E on dynamic memory allocation failure.
*/
static int sp_2048_mod_exp_32(sp_digit* r, sp_digit* a, sp_digit* e,
int bits, sp_digit* m, int reduceA)
{
#ifndef WOLFSSL_SMALL_STACK
sp_digit t[32][64];
#else
sp_digit* t[32];
sp_digit* td;
#endif
sp_digit* norm;
sp_digit mp = 1;
sp_digit n;
sp_digit mask;
int i;
int c, y;
int err = MP_OKAY;
#ifdef WOLFSSL_SMALL_STACK
td = (sp_digit*)XMALLOC(sizeof(sp_digit) * 32 * 64, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (td == NULL)
err = MEMORY_E;
if (err == MP_OKAY) {
for (i=0; i<32; i++)
t[i] = td + i * 64;
norm = t[0];
}
#else
norm = t[0];
#endif
if (err == MP_OKAY) {
sp_2048_mont_setup(m, &mp);
sp_2048_mont_norm_32(norm, m);
XMEMSET(t[1], 0, sizeof(sp_digit) * 32);
if (reduceA) {
err = sp_2048_mod_32(t[1] + 32, a, m);
if (err == MP_OKAY)
err = sp_2048_mod_32(t[1], t[1], m);
}
else {
XMEMCPY(t[1] + 32, a, sizeof(sp_digit) * 32);
err = sp_2048_mod_32(t[1], t[1], m);
}
}
if (err == MP_OKAY) {
sp_2048_mont_sqr_32(t[ 2], t[ 1], m, mp);
sp_2048_mont_mul_32(t[ 3], t[ 2], t[ 1], m, mp);
sp_2048_mont_sqr_32(t[ 4], t[ 2], m, mp);
sp_2048_mont_mul_32(t[ 5], t[ 3], t[ 2], m, mp);
sp_2048_mont_sqr_32(t[ 6], t[ 3], m, mp);
sp_2048_mont_mul_32(t[ 7], t[ 4], t[ 3], m, mp);
sp_2048_mont_sqr_32(t[ 8], t[ 4], m, mp);
sp_2048_mont_mul_32(t[ 9], t[ 5], t[ 4], m, mp);
sp_2048_mont_sqr_32(t[10], t[ 5], m, mp);
sp_2048_mont_mul_32(t[11], t[ 6], t[ 5], m, mp);
sp_2048_mont_sqr_32(t[12], t[ 6], m, mp);
sp_2048_mont_mul_32(t[13], t[ 7], t[ 6], m, mp);
sp_2048_mont_sqr_32(t[14], t[ 7], m, mp);
sp_2048_mont_mul_32(t[15], t[ 8], t[ 7], m, mp);
sp_2048_mont_sqr_32(t[16], t[ 8], m, mp);
sp_2048_mont_mul_32(t[17], t[ 9], t[ 8], m, mp);
sp_2048_mont_sqr_32(t[18], t[ 9], m, mp);
sp_2048_mont_mul_32(t[19], t[10], t[ 9], m, mp);
sp_2048_mont_sqr_32(t[20], t[10], m, mp);
sp_2048_mont_mul_32(t[21], t[11], t[10], m, mp);
sp_2048_mont_sqr_32(t[22], t[11], m, mp);
sp_2048_mont_mul_32(t[23], t[12], t[11], m, mp);
sp_2048_mont_sqr_32(t[24], t[12], m, mp);
sp_2048_mont_mul_32(t[25], t[13], t[12], m, mp);
sp_2048_mont_sqr_32(t[26], t[13], m, mp);
sp_2048_mont_mul_32(t[27], t[14], t[13], m, mp);
sp_2048_mont_sqr_32(t[28], t[14], m, mp);
sp_2048_mont_mul_32(t[29], t[15], t[14], m, mp);
sp_2048_mont_sqr_32(t[30], t[15], m, mp);
sp_2048_mont_mul_32(t[31], t[16], t[15], m, mp);
i = (bits - 1) / 64;
n = e[i--];
y = n >> 59;
n <<= 5;
c = 59;
XMEMCPY(r, t[y], sizeof(sp_digit) * 32);
for (; i>=0 || c>=5; ) {
if (c == 0) {
n = e[i--];
y = n >> 59;
n <<= 5;
c = 59;
}
else if (c < 5) {
y = n >> 59;
n = e[i--];
c = 5 - c;
y |= n >> (64 - c);
n <<= c;
c = 64 - c;
}
else {
y = (n >> 59) & 0x1f;
n <<= 5;
c -= 5;
}
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_mul_32(r, r, t[y], m, mp);
}
y = e[0] & 0x7;
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_sqr_32(r, r, m, mp);
sp_2048_mont_mul_32(r, r, t[y], m, mp);
XMEMSET(&r[32], 0, sizeof(sp_digit) * 32);
sp_2048_mont_reduce_32(r, m, mp);
mask = 0 - (sp_2048_cmp_32(r, m) >= 0);
sp_2048_cond_sub_32(r, r, m, mask);
}
#ifdef WOLFSSL_SMALL_STACK
if (td != NULL)
XFREE(td, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
#endif /* WOLFSSL_SP_SMALL */
#endif /* SP_RSA_PRIVATE_EXP_D || WOLFSSL_HAVE_SP_DH */
#ifdef WOLFSSL_HAVE_SP_RSA
/* RSA public key operation.
*
* in Array of bytes representing the number to exponentiate, base.
* inLen Number of bytes in base.
* em Public exponent.
* mm Modulus.
* out Buffer to hold big-endian bytes of exponentiation result.
* Must be at least 256 bytes long.
* outLen Number of bytes in result.
* returns 0 on success, MP_TO_E when the outLen is too small, MP_READ_E when
* an array is too long and MEMORY_E when dynamic memory allocation fails.
*/
int sp_RsaPublic_2048(const byte* in, word32 inLen, mp_int* em, mp_int* mm,
byte* out, word32* outLen)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_digit ad[64], md[32], rd[64];
#else
sp_digit* d = NULL;
#endif
sp_digit* a;
sp_digit *ah;
sp_digit* m;
sp_digit* r;
sp_digit e[1];
int err = MP_OKAY;
if (*outLen < 256)
err = MP_TO_E;
if (err == MP_OKAY && (mp_count_bits(em) > 64 || inLen > 256 ||
mp_count_bits(mm) != 2048))
err = MP_READ_E;
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
d = (sp_digit*)XMALLOC(sizeof(sp_digit) * 32 * 5, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (d == NULL)
err = MEMORY_E;
}
if (err == MP_OKAY) {
a = d;
r = a + 32 * 2;
m = r + 32 * 2;
ah = a + 32;
}
#else
a = ad;
m = md;
r = rd;
ah = a + 32;
#endif
if (err == MP_OKAY) {
sp_2048_from_bin(ah, 32, in, inLen);
#if DIGIT_BIT >= 64
e[0] = em->dp[0];
#else
e[0] = em->dp[0];
if (em->used > 1)
e[0] |= ((sp_digit)em->dp[1]) << DIGIT_BIT;
#endif
if (e[0] == 0)
err = MP_EXPTMOD_E;
}
if (err == MP_OKAY) {
sp_2048_from_mp(m, 32, mm);
if (e[0] == 0x3) {
if (err == MP_OKAY) {
sp_2048_sqr_32(r, ah);
err = sp_2048_mod_32_cond(r, r, m);
}
if (err == MP_OKAY) {
sp_2048_mul_32(r, ah, r);
err = sp_2048_mod_32_cond(r, r, m);
}
}
else {
int i;
sp_digit mp;
sp_2048_mont_setup(m, &mp);
/* Convert to Montgomery form. */
XMEMSET(a, 0, sizeof(sp_digit) * 32);
err = sp_2048_mod_32_cond(a, a, m);
if (err == MP_OKAY) {
for (i=63; i>=0; i--)
if (e[0] >> i)
break;
XMEMCPY(r, a, sizeof(sp_digit) * 32);
for (i--; i>=0; i--) {
sp_2048_mont_sqr_32(r, r, m, mp);
if (((e[0] >> i) & 1) == 1)
sp_2048_mont_mul_32(r, r, a, m, mp);
}
XMEMSET(&r[32], 0, sizeof(sp_digit) * 32);
sp_2048_mont_reduce_32(r, m, mp);
for (i = 31; i > 0; i--) {
if (r[i] != m[i])
break;
}
if (r[i] >= m[i])
sp_2048_sub_in_place_32(r, m);
}
}
}
if (err == MP_OKAY) {
sp_2048_to_bin(r, out);
*outLen = 256;
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (d != NULL)
XFREE(d, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
/* RSA private key operation.
*
* in Array of bytes representing the number to exponentiate, base.
* inLen Number of bytes in base.
* dm Private exponent.
* pm First prime.
* qm Second prime.
* dpm First prime's CRT exponent.
* dqm Second prime's CRT exponent.
* qim Inverse of second prime mod p.
* mm Modulus.
* out Buffer to hold big-endian bytes of exponentiation result.
* Must be at least 256 bytes long.
* outLen Number of bytes in result.
* returns 0 on success, MP_TO_E when the outLen is too small, MP_READ_E when
* an array is too long and MEMORY_E when dynamic memory allocation fails.
*/
int sp_RsaPrivate_2048(const byte* in, word32 inLen, mp_int* dm,
mp_int* pm, mp_int* qm, mp_int* dpm, mp_int* dqm, mp_int* qim, mp_int* mm,
byte* out, word32* outLen)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_digit ad[32 * 2];
sp_digit pd[16], qd[16], dpd[16];
sp_digit tmpad[32], tmpbd[32];
#else
sp_digit* t = NULL;
#endif
sp_digit* a;
sp_digit* p;
sp_digit* q;
sp_digit* dp;
sp_digit* dq;
sp_digit* qi;
sp_digit* tmp;
sp_digit* tmpa;
sp_digit* tmpb;
sp_digit* r;
sp_digit c;
int err = MP_OKAY;
(void)dm;
(void)mm;
if (*outLen < 256)
err = MP_TO_E;
if (err == MP_OKAY && (inLen > 256 || mp_count_bits(mm) != 2048))
err = MP_READ_E;
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
t = (sp_digit*)XMALLOC(sizeof(sp_digit) * 16 * 11, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (t == NULL)
err = MEMORY_E;
}
if (err == MP_OKAY) {
a = t;
p = a + 32 * 2;
q = p + 16;
qi = dq = dp = q + 16;
tmpa = qi + 16;
tmpb = tmpa + 32;
tmp = t;
r = tmp + 32;
}
#else
r = a = ad;
p = pd;
q = qd;
qi = dq = dp = dpd;
tmpa = tmpad;
tmpb = tmpbd;
tmp = a + 32;
#endif
if (err == MP_OKAY) {
sp_2048_from_bin(a, 32, in, inLen);
sp_2048_from_mp(p, 16, pm);
sp_2048_from_mp(q, 16, qm);
sp_2048_from_mp(dp, 16, dpm);
err = sp_2048_mod_exp_16(tmpa, a, dp, 1024, p, 1);
}
if (err == MP_OKAY) {
sp_2048_from_mp(dq, 16, dqm);
err = sp_2048_mod_exp_16(tmpb, a, dq, 1024, q, 1);
}
if (err == MP_OKAY) {
c = sp_2048_sub_in_place_16(tmpa, tmpb);
sp_2048_mask_16(tmp, p, c);
sp_2048_add_16(tmpa, tmpa, tmp);
sp_2048_from_mp(qi, 16, qim);
sp_2048_mul_16(tmpa, tmpa, qi);
err = sp_2048_mod_16(tmpa, tmpa, p);
}
if (err == MP_OKAY) {
sp_2048_mul_16(tmpa, q, tmpa);
XMEMSET(&tmpb[16], 0, sizeof(sp_digit) * 16);
sp_2048_add_32(r, tmpb, tmpa);
sp_2048_to_bin(r, out);
*outLen = 256;
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (t != NULL) {
XMEMSET(t, 0, sizeof(sp_digit) * 16 * 11);
XFREE(t, NULL, DYNAMIC_TYPE_TMP_BUFFER);
}
#else
XMEMSET(tmpad, 0, sizeof(tmpad));
XMEMSET(tmpbd, 0, sizeof(tmpbd));
XMEMSET(pd, 0, sizeof(pd));
XMEMSET(qd, 0, sizeof(qd));
XMEMSET(dpd, 0, sizeof(dpd));
#endif
return err;
}
#endif /* WOLFSSL_HAVE_SP_RSA */
#ifdef WOLFSSL_HAVE_SP_DH
/* Convert an array of sp_digit to an mp_int.
*
* a A single precision integer.
* r A multi-precision integer.
*/
static int sp_2048_to_mp(sp_digit* a, mp_int* r)
{
int err;
err = mp_grow(r, (2048 + DIGIT_BIT - 1) / DIGIT_BIT);
if (err == MP_OKAY) {
#if DIGIT_BIT == 64
XMEMCPY(r->dp, a, sizeof(sp_digit) * 32);
r->used = 32;
mp_clamp(r);
#elif DIGIT_BIT < 64
int i, j = 0, s = 0;
r->dp[0] = 0;
for (i = 0; i < 32; i++) {
r->dp[j] |= a[i] << s;
r->dp[j] &= (1l << DIGIT_BIT) - 1;
s = DIGIT_BIT - s;
r->dp[++j] = a[i] >> s;
while (s + DIGIT_BIT <= 64) {
s += DIGIT_BIT;
r->dp[j] &= (1l << DIGIT_BIT) - 1;
r->dp[++j] = a[i] >> s;
}
s = 64 - s;
}
r->used = (2048 + DIGIT_BIT - 1) / DIGIT_BIT;
mp_clamp(r);
#else
int i, j = 0, s = 0;
r->dp[0] = 0;
for (i = 0; i < 32; i++) {
r->dp[j] |= ((mp_digit)a[i]) << s;
if (s + 64 >= DIGIT_BIT) {
#if DIGIT_BIT < 64
r->dp[j] &= (1l << DIGIT_BIT) - 1;
#endif
s = DIGIT_BIT - s;
r->dp[++j] = a[i] >> s;
s = 64 - s;
}
else
s += 64;
}
r->used = (2048 + DIGIT_BIT - 1) / DIGIT_BIT;
mp_clamp(r);
#endif
}
return err;
}
/* Perform the modular exponentiation for Diffie-Hellman.
*
* base Base. MP integer.
* exp Exponent. MP integer.
* mod Modulus. MP integer.
* res Result. MP integer.
* returs 0 on success, MP_READ_E if there are too many bytes in an array
* and MEMORY_E if memory allocation fails.
*/
int sp_ModExp_2048(mp_int* base, mp_int* exp, mp_int* mod, mp_int* res)
{
int err = MP_OKAY;
sp_digit b[64], e[32], m[32];
sp_digit* r = b;
int expBits = mp_count_bits(exp);
if (mp_count_bits(base) > 2048 || expBits > 2048 ||
mp_count_bits(mod) != 2048) {
err = MP_READ_E;
}
if (err == MP_OKAY) {
sp_2048_from_mp(b, 32, base);
sp_2048_from_mp(e, 32, exp);
sp_2048_from_mp(m, 32, mod);
err = sp_2048_mod_exp_32(r, b, e, expBits, m, 0);
}
if (err == MP_OKAY) {
err = sp_2048_to_mp(r, res);
}
XMEMSET(e, 0, sizeof(e));
return err;
}
/* Perform the modular exponentiation for Diffie-Hellman.
*
* base Base.
* exp Array of bytes that is the exponent.
* expLen Length of data, in bytes, in exponent.
* mod Modulus.
* out Buffer to hold big-endian bytes of exponentiation result.
* Must be at least 256 bytes long.
* outLen Length, in bytes, of exponentiation result.
* returs 0 on success, MP_READ_E if there are too many bytes in an array
* and MEMORY_E if memory allocation fails.
*/
int sp_DhExp_2048(mp_int* base, const byte* exp, word32 expLen,
mp_int* mod, byte* out, word32* outLen)
{
int err = MP_OKAY;
sp_digit b[64], e[32], m[32];
sp_digit* r = b;
word32 i;
if (mp_count_bits(base) > 2048 || expLen > 256 ||
mp_count_bits(mod) != 2048) {
err = MP_READ_E;
}
if (err == MP_OKAY) {
sp_2048_from_mp(b, 32, base);
sp_2048_from_bin(e, 32, exp, expLen);
sp_2048_from_mp(m, 32, mod);
err = sp_2048_mod_exp_32(r, b, e, expLen * 8, m, 0);
}
if (err == MP_OKAY) {
sp_2048_to_bin(r, out);
*outLen = 256;
for (i=0; i<256 && out[i] == 0; i++) {
}
*outLen -= i;
XMEMMOVE(out, out + i, *outLen);
}
XMEMSET(e, 0, sizeof(e));
return err;
}
#endif /* WOLFSSL_HAVE_SP_DH */
#endif /* WOLFSSL_SP_NO_2048 */
#ifndef WOLFSSL_SP_NO_3072
/* Read big endian unsigned byte aray into r.
*
* r A single precision integer.
* a Byte array.
* n Number of bytes in array to read.
*/
static void sp_3072_from_bin(sp_digit* r, int max, const byte* a, int n)
{
int i, j = 0, s = 0;
r[0] = 0;
for (i = n-1; i >= 0; i--) {
r[j] |= ((sp_digit)a[i]) << s;
if (s >= 56) {
r[j] &= 0xffffffffffffffffl;
s = 64 - s;
if (j + 1 >= max)
break;
r[++j] = a[i] >> s;
s = 8 - s;
}
else
s += 8;
}
for (j++; j < max; j++)
r[j] = 0;
}
/* Convert an mp_int to an array of sp_digit.
*
* r A single precision integer.
* a A multi-precision integer.
*/
static void sp_3072_from_mp(sp_digit* r, int max, mp_int* a)
{
#if DIGIT_BIT == 64
int j;
XMEMCPY(r, a->dp, sizeof(sp_digit) * a->used);
for (j = a->used; j < max; j++)
r[j] = 0;
#elif DIGIT_BIT > 64
int i, j = 0, s = 0;
r[0] = 0;
for (i = 0; i < a->used && j < max; i++) {
r[j] |= a->dp[i] << s;
r[j] &= 0xffffffffffffffffl;
s = 64 - s;
if (j + 1 >= max)
break;
r[++j] = a->dp[i] >> s;
while (s + 64 <= DIGIT_BIT) {
s += 64;
r[j] &= 0xffffffffffffffffl;
if (j + 1 >= max)
break;
if (s < DIGIT_BIT)
r[++j] = a->dp[i] >> s;
else
r[++j] = 0;
}
s = DIGIT_BIT - s;
}
for (j++; j < max; j++)
r[j] = 0;
#else
int i, j = 0, s = 0;
r[0] = 0;
for (i = 0; i < a->used && j < max; i++) {
r[j] |= ((sp_digit)a->dp[i]) << s;
if (s + DIGIT_BIT >= 64) {
r[j] &= 0xffffffffffffffffl;
if (j + 1 >= max)
break;
s = 64 - s;
if (s == DIGIT_BIT) {
r[++j] = 0;
s = 0;
}
else {
r[++j] = a->dp[i] >> s;
s = DIGIT_BIT - s;
}
}
else
s += DIGIT_BIT;
}
for (j++; j < max; j++)
r[j] = 0;
#endif
}
/* Write r as big endian to byte aray.
* Fixed length number of bytes written: 384
*
* r A single precision integer.
* a Byte array.
*/
static void sp_3072_to_bin(sp_digit* r, byte* a)
{
int i, j, s = 0, b;
j = 3072 / 8 - 1;
a[j] = 0;
for (i=0; i<48 && j>=0; i++) {
b = 0;
a[j--] |= r[i] << s; b += 8 - s;
if (j < 0)
break;
while (b < 64) {
a[j--] = r[i] >> b; b += 8;
if (j < 0)
break;
}
s = 8 - (b - 64);
if (j >= 0)
a[j] = 0;
if (s != 0)
j++;
}
}
#ifndef WOLFSSL_SP_SMALL
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_3072_mul_12(sp_digit* r, const sp_digit* a, const sp_digit* b)
{
sp_digit tmp[12];
__asm__ __volatile__ (
"# A[0] * B[0]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x3, x7, x8\n\t"
"umulh x4, x7, x8\n\t"
"mov x5, 0\n\t"
"str x3, [%[tmp]]\n\t"
"# A[0] * B[1]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[1] * B[0]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[tmp], 8]\n\t"
"# A[0] * B[2]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[1] * B[1]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[2] * B[0]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[tmp], 16]\n\t"
"# A[0] * B[3]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[1] * B[2]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[2] * B[1]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[3] * B[0]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[tmp], 24]\n\t"
"# A[0] * B[4]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[1] * B[3]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[2] * B[2]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[3] * B[1]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[4] * B[0]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[tmp], 32]\n\t"
"# A[0] * B[5]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[1] * B[4]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[2] * B[3]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[3] * B[2]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[4] * B[1]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[5] * B[0]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[tmp], 40]\n\t"
"# A[0] * B[6]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[1] * B[5]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[2] * B[4]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[3] * B[3]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[4] * B[2]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[5] * B[1]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[6] * B[0]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[tmp], 48]\n\t"
"# A[0] * B[7]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[1] * B[6]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[2] * B[5]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[3] * B[4]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[4] * B[3]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[5] * B[2]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[6] * B[1]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[7] * B[0]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[tmp], 56]\n\t"
"# A[0] * B[8]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[1] * B[7]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[2] * B[6]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[3] * B[5]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[4] * B[4]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[5] * B[3]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[6] * B[2]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[7] * B[1]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[8] * B[0]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[tmp], 64]\n\t"
"# A[0] * B[9]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[1] * B[8]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[2] * B[7]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[3] * B[6]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[4] * B[5]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[5] * B[4]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[6] * B[3]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[7] * B[2]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[8] * B[1]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[9] * B[0]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[tmp], 72]\n\t"
"# A[0] * B[10]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[1] * B[9]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[2] * B[8]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[3] * B[7]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[4] * B[6]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[5] * B[5]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[6] * B[4]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[7] * B[3]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[8] * B[2]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[9] * B[1]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[10] * B[0]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[tmp], 80]\n\t"
"# A[0] * B[11]\n\t"
"ldr x7, [%[a], 0]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[1] * B[10]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[2] * B[9]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[3] * B[8]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[4] * B[7]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[5] * B[6]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[6] * B[5]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[7] * B[4]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[8] * B[3]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[9] * B[2]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[10] * B[1]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[11] * B[0]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 0]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[tmp], 88]\n\t"
"# A[1] * B[11]\n\t"
"ldr x7, [%[a], 8]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[2] * B[10]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[3] * B[9]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[4] * B[8]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[5] * B[7]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[6] * B[6]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[7] * B[5]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[8] * B[4]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[9] * B[3]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[10] * B[2]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[11] * B[1]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 8]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[r], 96]\n\t"
"# A[2] * B[11]\n\t"
"ldr x7, [%[a], 16]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[3] * B[10]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[4] * B[9]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[5] * B[8]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[6] * B[7]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[7] * B[6]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[8] * B[5]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[9] * B[4]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[10] * B[3]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[11] * B[2]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 16]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[r], 104]\n\t"
"# A[3] * B[11]\n\t"
"ldr x7, [%[a], 24]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[4] * B[10]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[5] * B[9]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[6] * B[8]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[7] * B[7]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[8] * B[6]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[9] * B[5]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[10] * B[4]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[11] * B[3]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 24]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[r], 112]\n\t"
"# A[4] * B[11]\n\t"
"ldr x7, [%[a], 32]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[5] * B[10]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[6] * B[9]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[7] * B[8]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[8] * B[7]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[9] * B[6]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[10] * B[5]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[11] * B[4]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 32]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[r], 120]\n\t"
"# A[5] * B[11]\n\t"
"ldr x7, [%[a], 40]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[6] * B[10]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[7] * B[9]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[8] * B[8]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[9] * B[7]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[10] * B[6]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[11] * B[5]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 40]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[r], 128]\n\t"
"# A[6] * B[11]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[7] * B[10]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[8] * B[9]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[9] * B[8]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[10] * B[7]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[11] * B[6]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 48]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[r], 136]\n\t"
"# A[7] * B[11]\n\t"
"ldr x7, [%[a], 56]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[8] * B[10]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[9] * B[9]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[10] * B[8]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[11] * B[7]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 56]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[r], 144]\n\t"
"# A[8] * B[11]\n\t"
"ldr x7, [%[a], 64]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[9] * B[10]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[10] * B[9]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[11] * B[8]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 64]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[r], 152]\n\t"
"# A[9] * B[11]\n\t"
"ldr x7, [%[a], 72]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[10] * B[10]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[11] * B[9]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 72]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[r], 160]\n\t"
"# A[10] * B[11]\n\t"
"ldr x7, [%[a], 80]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[11] * B[10]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 80]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[r], 168]\n\t"
"# A[11] * B[11]\n\t"
"ldr x7, [%[a], 88]\n\t"
"ldr x8, [%[b], 88]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x4, x4, x6\n\t"
"adc x5, x5, x7\n\t"
"stp x4, x5, [%[r], 176]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [tmp] "r" (tmp)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_3072_sqr_12(sp_digit* r, const sp_digit* a)
{
sp_digit tmp[12];
__asm__ __volatile__ (
"ldp x10, x11, [%[a], 0]\n\t"
"ldp x12, x13, [%[a], 16]\n\t"
"ldp x14, x15, [%[a], 32]\n\t"
"ldp x16, x17, [%[a], 48]\n\t"
"ldp x18, x19, [%[a], 64]\n\t"
"ldp x20, x21, [%[a], 80]\n\t"
"# A[0] * A[0]\n\t"
"mul x2, x10, x10\n\t"
"umulh x3, x10, x10\n\t"
"str x2, [%[tmp]]\n\t"
"mov x4, 0\n\t"
"# A[0] * A[1]\n\t"
"mul x8, x10, x11\n\t"
"umulh x9, x10, x11\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, xzr, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"str x3, [%[tmp], 8]\n\t"
"# A[0] * A[2]\n\t"
"mul x8, x10, x12\n\t"
"umulh x9, x10, x12\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, xzr, xzr\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"# A[1] * A[1]\n\t"
"mul x8, x11, x11\n\t"
"umulh x9, x11, x11\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[tmp], 16]\n\t"
"# A[0] * A[3]\n\t"
"mul x8, x10, x13\n\t"
"umulh x9, x10, x13\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, xzr, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"# A[1] * A[2]\n\t"
"mul x8, x11, x12\n\t"
"umulh x9, x11, x12\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"str x2, [%[tmp], 24]\n\t"
"# A[0] * A[4]\n\t"
"mul x8, x10, x14\n\t"
"umulh x9, x10, x14\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, xzr, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"# A[1] * A[3]\n\t"
"mul x8, x11, x13\n\t"
"umulh x9, x11, x13\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"# A[2] * A[2]\n\t"
"mul x8, x12, x12\n\t"
"umulh x9, x12, x12\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"str x3, [%[tmp], 32]\n\t"
"# A[0] * A[5]\n\t"
"mul x5, x10, x15\n\t"
"umulh x6, x10, x15\n\t"
"mov x3, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[4]\n\t"
"mul x8, x11, x14\n\t"
"umulh x9, x11, x14\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[3]\n\t"
"mul x8, x12, x13\n\t"
"umulh x9, x12, x13\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x4, x4, x5\n\t"
"adcs x2, x2, x6\n\t"
"adc x3, x3, x7\n\t"
"str x4, [%[tmp], 40]\n\t"
"# A[0] * A[6]\n\t"
"mul x5, x10, x16\n\t"
"umulh x6, x10, x16\n\t"
"mov x4, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[5]\n\t"
"mul x8, x11, x15\n\t"
"umulh x9, x11, x15\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[4]\n\t"
"mul x8, x12, x14\n\t"
"umulh x9, x12, x14\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[3]\n\t"
"mul x8, x13, x13\n\t"
"umulh x9, x13, x13\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x2, x2, x5\n\t"
"adcs x3, x3, x6\n\t"
"adc x4, x4, x7\n\t"
"str x2, [%[tmp], 48]\n\t"
"# A[0] * A[7]\n\t"
"mul x5, x10, x17\n\t"
"umulh x6, x10, x17\n\t"
"mov x2, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[6]\n\t"
"mul x8, x11, x16\n\t"
"umulh x9, x11, x16\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[5]\n\t"
"mul x8, x12, x15\n\t"
"umulh x9, x12, x15\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[4]\n\t"
"mul x8, x13, x14\n\t"
"umulh x9, x13, x14\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x3, x3, x5\n\t"
"adcs x4, x4, x6\n\t"
"adc x2, x2, x7\n\t"
"str x3, [%[tmp], 56]\n\t"
"# A[0] * A[8]\n\t"
"mul x5, x10, x18\n\t"
"umulh x6, x10, x18\n\t"
"mov x3, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[7]\n\t"
"mul x8, x11, x17\n\t"
"umulh x9, x11, x17\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[6]\n\t"
"mul x8, x12, x16\n\t"
"umulh x9, x12, x16\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[5]\n\t"
"mul x8, x13, x15\n\t"
"umulh x9, x13, x15\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[4] * A[4]\n\t"
"mul x8, x14, x14\n\t"
"umulh x9, x14, x14\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x4, x4, x5\n\t"
"adcs x2, x2, x6\n\t"
"adc x3, x3, x7\n\t"
"str x4, [%[tmp], 64]\n\t"
"# A[0] * A[9]\n\t"
"mul x5, x10, x19\n\t"
"umulh x6, x10, x19\n\t"
"mov x4, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[8]\n\t"
"mul x8, x11, x18\n\t"
"umulh x9, x11, x18\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[7]\n\t"
"mul x8, x12, x17\n\t"
"umulh x9, x12, x17\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[6]\n\t"
"mul x8, x13, x16\n\t"
"umulh x9, x13, x16\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[4] * A[5]\n\t"
"mul x8, x14, x15\n\t"
"umulh x9, x14, x15\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x2, x2, x5\n\t"
"adcs x3, x3, x6\n\t"
"adc x4, x4, x7\n\t"
"str x2, [%[tmp], 72]\n\t"
"# A[0] * A[10]\n\t"
"mul x5, x10, x20\n\t"
"umulh x6, x10, x20\n\t"
"mov x2, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[9]\n\t"
"mul x8, x11, x19\n\t"
"umulh x9, x11, x19\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[8]\n\t"
"mul x8, x12, x18\n\t"
"umulh x9, x12, x18\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[7]\n\t"
"mul x8, x13, x17\n\t"
"umulh x9, x13, x17\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[4] * A[6]\n\t"
"mul x8, x14, x16\n\t"
"umulh x9, x14, x16\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[5] * A[5]\n\t"
"mul x8, x15, x15\n\t"
"umulh x9, x15, x15\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x3, x3, x5\n\t"
"adcs x4, x4, x6\n\t"
"adc x2, x2, x7\n\t"
"str x3, [%[tmp], 80]\n\t"
"# A[0] * A[11]\n\t"
"mul x5, x10, x21\n\t"
"umulh x6, x10, x21\n\t"
"mov x3, 0\n\t"
"mov x7, 0\n\t"
"# A[1] * A[10]\n\t"
"mul x8, x11, x20\n\t"
"umulh x9, x11, x20\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[2] * A[9]\n\t"
"mul x8, x12, x19\n\t"
"umulh x9, x12, x19\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[8]\n\t"
"mul x8, x13, x18\n\t"
"umulh x9, x13, x18\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[4] * A[7]\n\t"
"mul x8, x14, x17\n\t"
"umulh x9, x14, x17\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[5] * A[6]\n\t"
"mul x8, x15, x16\n\t"
"umulh x9, x15, x16\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x4, x4, x5\n\t"
"adcs x2, x2, x6\n\t"
"adc x3, x3, x7\n\t"
"str x4, [%[tmp], 88]\n\t"
"# A[1] * A[11]\n\t"
"mul x5, x11, x21\n\t"
"umulh x6, x11, x21\n\t"
"mov x4, 0\n\t"
"mov x7, 0\n\t"
"# A[2] * A[10]\n\t"
"mul x8, x12, x20\n\t"
"umulh x9, x12, x20\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[3] * A[9]\n\t"
"mul x8, x13, x19\n\t"
"umulh x9, x13, x19\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[4] * A[8]\n\t"
"mul x8, x14, x18\n\t"
"umulh x9, x14, x18\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[5] * A[7]\n\t"
"mul x8, x15, x17\n\t"
"umulh x9, x15, x17\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[6] * A[6]\n\t"
"mul x8, x16, x16\n\t"
"umulh x9, x16, x16\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x2, x2, x5\n\t"
"adcs x3, x3, x6\n\t"
"adc x4, x4, x7\n\t"
"str x2, [%[r], 96]\n\t"
"# A[2] * A[11]\n\t"
"mul x5, x12, x21\n\t"
"umulh x6, x12, x21\n\t"
"mov x2, 0\n\t"
"mov x7, 0\n\t"
"# A[3] * A[10]\n\t"
"mul x8, x13, x20\n\t"
"umulh x9, x13, x20\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[4] * A[9]\n\t"
"mul x8, x14, x19\n\t"
"umulh x9, x14, x19\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[5] * A[8]\n\t"
"mul x8, x15, x18\n\t"
"umulh x9, x15, x18\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[6] * A[7]\n\t"
"mul x8, x16, x17\n\t"
"umulh x9, x16, x17\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x3, x3, x5\n\t"
"adcs x4, x4, x6\n\t"
"adc x2, x2, x7\n\t"
"str x3, [%[r], 104]\n\t"
"# A[3] * A[11]\n\t"
"mul x5, x13, x21\n\t"
"umulh x6, x13, x21\n\t"
"mov x3, 0\n\t"
"mov x7, 0\n\t"
"# A[4] * A[10]\n\t"
"mul x8, x14, x20\n\t"
"umulh x9, x14, x20\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[5] * A[9]\n\t"
"mul x8, x15, x19\n\t"
"umulh x9, x15, x19\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[6] * A[8]\n\t"
"mul x8, x16, x18\n\t"
"umulh x9, x16, x18\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[7] * A[7]\n\t"
"mul x8, x17, x17\n\t"
"umulh x9, x17, x17\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x4, x4, x5\n\t"
"adcs x2, x2, x6\n\t"
"adc x3, x3, x7\n\t"
"str x4, [%[r], 112]\n\t"
"# A[4] * A[11]\n\t"
"mul x5, x14, x21\n\t"
"umulh x6, x14, x21\n\t"
"mov x4, 0\n\t"
"mov x7, 0\n\t"
"# A[5] * A[10]\n\t"
"mul x8, x15, x20\n\t"
"umulh x9, x15, x20\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[6] * A[9]\n\t"
"mul x8, x16, x19\n\t"
"umulh x9, x16, x19\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[7] * A[8]\n\t"
"mul x8, x17, x18\n\t"
"umulh x9, x17, x18\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x2, x2, x5\n\t"
"adcs x3, x3, x6\n\t"
"adc x4, x4, x7\n\t"
"str x2, [%[r], 120]\n\t"
"# A[5] * A[11]\n\t"
"mul x5, x15, x21\n\t"
"umulh x6, x15, x21\n\t"
"mov x2, 0\n\t"
"mov x7, 0\n\t"
"# A[6] * A[10]\n\t"
"mul x8, x16, x20\n\t"
"umulh x9, x16, x20\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[7] * A[9]\n\t"
"mul x8, x17, x19\n\t"
"umulh x9, x17, x19\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[8] * A[8]\n\t"
"mul x8, x18, x18\n\t"
"umulh x9, x18, x18\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x3, x3, x5\n\t"
"adcs x4, x4, x6\n\t"
"adc x2, x2, x7\n\t"
"str x3, [%[r], 128]\n\t"
"# A[6] * A[11]\n\t"
"mul x5, x16, x21\n\t"
"umulh x6, x16, x21\n\t"
"mov x3, 0\n\t"
"mov x7, 0\n\t"
"# A[7] * A[10]\n\t"
"mul x8, x17, x20\n\t"
"umulh x9, x17, x20\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"# A[8] * A[9]\n\t"
"mul x8, x18, x19\n\t"
"umulh x9, x18, x19\n\t"
"adds x5, x5, x8\n\t"
"adcs x6, x6, x9\n\t"
"adc x7, x7, xzr\n\t"
"adds x5, x5, x5\n\t"
"adcs x6, x6, x6\n\t"
"adc x7, x7, x7\n\t"
"adds x4, x4, x5\n\t"
"adcs x2, x2, x6\n\t"
"adc x3, x3, x7\n\t"
"str x4, [%[r], 136]\n\t"
"# A[7] * A[11]\n\t"
"mul x8, x17, x21\n\t"
"umulh x9, x17, x21\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, xzr, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"# A[8] * A[10]\n\t"
"mul x8, x18, x20\n\t"
"umulh x9, x18, x20\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"# A[9] * A[9]\n\t"
"mul x8, x19, x19\n\t"
"umulh x9, x19, x19\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"str x2, [%[r], 144]\n\t"
"# A[8] * A[11]\n\t"
"mul x8, x18, x21\n\t"
"umulh x9, x18, x21\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, xzr, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"# A[9] * A[10]\n\t"
"mul x8, x19, x20\n\t"
"umulh x9, x19, x20\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"str x3, [%[r], 152]\n\t"
"# A[9] * A[11]\n\t"
"mul x8, x19, x21\n\t"
"umulh x9, x19, x21\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, xzr, xzr\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"# A[10] * A[10]\n\t"
"mul x8, x20, x20\n\t"
"umulh x9, x20, x20\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[r], 160]\n\t"
"# A[10] * A[11]\n\t"
"mul x8, x20, x21\n\t"
"umulh x9, x20, x21\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, xzr, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"str x2, [%[r], 168]\n\t"
"# A[11] * A[11]\n\t"
"mul x8, x21, x21\n\t"
"umulh x9, x21, x21\n\t"
"adds x3, x3, x8\n\t"
"adc x4, x4, x9\n\t"
"stp x3, x4, [%[r], 176]\n\t"
:
: [r] "r" (r), [a] "r" (a), [tmp] "r" (tmp)
: "memory", "x2", "x3", "x4", "x8", "x9", "x10", "x5", "x6", "x7", "x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17", "x18", "x19", "x20", "x21"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_3072_add_12(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x3, x4, [%[a], 0]\n\t"
"ldp x5, x6, [%[a], 16]\n\t"
"ldp x7, x8, [%[b], 0]\n\t"
"ldp x9, x10, [%[b], 16]\n\t"
"adds x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 0]\n\t"
"stp x5, x6, [%[r], 16]\n\t"
"ldp x3, x4, [%[a], 32]\n\t"
"ldp x5, x6, [%[a], 48]\n\t"
"ldp x7, x8, [%[b], 32]\n\t"
"ldp x9, x10, [%[b], 48]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 32]\n\t"
"stp x5, x6, [%[r], 48]\n\t"
"ldp x3, x4, [%[a], 64]\n\t"
"ldp x5, x6, [%[a], 80]\n\t"
"ldp x7, x8, [%[b], 64]\n\t"
"ldp x9, x10, [%[b], 80]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 64]\n\t"
"stp x5, x6, [%[r], 80]\n\t"
"cset %[c], cs\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
/* Sub b from a into a. (a -= b)
*
* a A single precision integer and result.
* b A single precision integer.
*/
static sp_digit sp_3072_sub_in_place_24(sp_digit* a, const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x2, x3, [%[a], 0]\n\t"
"ldp x4, x5, [%[a], 16]\n\t"
"ldp x6, x7, [%[b], 0]\n\t"
"ldp x8, x9, [%[b], 16]\n\t"
"subs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 0]\n\t"
"stp x4, x5, [%[a], 16]\n\t"
"ldp x2, x3, [%[a], 32]\n\t"
"ldp x4, x5, [%[a], 48]\n\t"
"ldp x6, x7, [%[b], 32]\n\t"
"ldp x8, x9, [%[b], 48]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 32]\n\t"
"stp x4, x5, [%[a], 48]\n\t"
"ldp x2, x3, [%[a], 64]\n\t"
"ldp x4, x5, [%[a], 80]\n\t"
"ldp x6, x7, [%[b], 64]\n\t"
"ldp x8, x9, [%[b], 80]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 64]\n\t"
"stp x4, x5, [%[a], 80]\n\t"
"ldp x2, x3, [%[a], 96]\n\t"
"ldp x4, x5, [%[a], 112]\n\t"
"ldp x6, x7, [%[b], 96]\n\t"
"ldp x8, x9, [%[b], 112]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 96]\n\t"
"stp x4, x5, [%[a], 112]\n\t"
"ldp x2, x3, [%[a], 128]\n\t"
"ldp x4, x5, [%[a], 144]\n\t"
"ldp x6, x7, [%[b], 128]\n\t"
"ldp x8, x9, [%[b], 144]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 128]\n\t"
"stp x4, x5, [%[a], 144]\n\t"
"ldp x2, x3, [%[a], 160]\n\t"
"ldp x4, x5, [%[a], 176]\n\t"
"ldp x6, x7, [%[b], 160]\n\t"
"ldp x8, x9, [%[b], 176]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 160]\n\t"
"stp x4, x5, [%[a], 176]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [a] "r" (a), [b] "r" (b)
: "memory", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9"
);
return c;
}
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_3072_add_24(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x3, x4, [%[a], 0]\n\t"
"ldp x5, x6, [%[a], 16]\n\t"
"ldp x7, x8, [%[b], 0]\n\t"
"ldp x9, x10, [%[b], 16]\n\t"
"adds x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 0]\n\t"
"stp x5, x6, [%[r], 16]\n\t"
"ldp x3, x4, [%[a], 32]\n\t"
"ldp x5, x6, [%[a], 48]\n\t"
"ldp x7, x8, [%[b], 32]\n\t"
"ldp x9, x10, [%[b], 48]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 32]\n\t"
"stp x5, x6, [%[r], 48]\n\t"
"ldp x3, x4, [%[a], 64]\n\t"
"ldp x5, x6, [%[a], 80]\n\t"
"ldp x7, x8, [%[b], 64]\n\t"
"ldp x9, x10, [%[b], 80]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 64]\n\t"
"stp x5, x6, [%[r], 80]\n\t"
"ldp x3, x4, [%[a], 96]\n\t"
"ldp x5, x6, [%[a], 112]\n\t"
"ldp x7, x8, [%[b], 96]\n\t"
"ldp x9, x10, [%[b], 112]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 96]\n\t"
"stp x5, x6, [%[r], 112]\n\t"
"ldp x3, x4, [%[a], 128]\n\t"
"ldp x5, x6, [%[a], 144]\n\t"
"ldp x7, x8, [%[b], 128]\n\t"
"ldp x9, x10, [%[b], 144]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 128]\n\t"
"stp x5, x6, [%[r], 144]\n\t"
"ldp x3, x4, [%[a], 160]\n\t"
"ldp x5, x6, [%[a], 176]\n\t"
"ldp x7, x8, [%[b], 160]\n\t"
"ldp x9, x10, [%[b], 176]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 160]\n\t"
"stp x5, x6, [%[r], 176]\n\t"
"cset %[c], cs\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_3072_mask_12(sp_digit* r, sp_digit* a, sp_digit m)
{
#ifdef WOLFSSL_SP_SMALL
int i;
for (i=0; i<12; i++)
r[i] = a[i] & m;
#else
r[0] = a[0] & m;
r[1] = a[1] & m;
r[2] = a[2] & m;
r[3] = a[3] & m;
r[4] = a[4] & m;
r[5] = a[5] & m;
r[6] = a[6] & m;
r[7] = a[7] & m;
r[8] = a[8] & m;
r[9] = a[9] & m;
r[10] = a[10] & m;
r[11] = a[11] & m;
#endif
}
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_3072_mul_24(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit* z0 = r;
sp_digit z1[24];
sp_digit a1[12];
sp_digit b1[12];
sp_digit z2[24];
sp_digit u, ca, cb;
ca = sp_3072_add_12(a1, a, &a[12]);
cb = sp_3072_add_12(b1, b, &b[12]);
u = ca & cb;
sp_3072_mul_12(z1, a1, b1);
sp_3072_mul_12(z2, &a[12], &b[12]);
sp_3072_mul_12(z0, a, b);
sp_3072_mask_12(r + 24, a1, 0 - cb);
sp_3072_mask_12(b1, b1, 0 - ca);
u += sp_3072_add_12(r + 24, r + 24, b1);
u += sp_3072_sub_in_place_24(z1, z2);
u += sp_3072_sub_in_place_24(z1, z0);
u += sp_3072_add_24(r + 12, r + 12, z1);
r[36] = u;
XMEMSET(r + 36 + 1, 0, sizeof(sp_digit) * (12 - 1));
sp_3072_add_24(r + 24, r + 24, z2);
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_3072_sqr_24(sp_digit* r, const sp_digit* a)
{
sp_digit* z0 = r;
sp_digit z2[24];
sp_digit z1[24];
sp_digit a1[12];
sp_digit u;
u = sp_3072_add_12(a1, a, &a[12]);
sp_3072_sqr_12(z1, a1);
sp_3072_sqr_12(z2, &a[12]);
sp_3072_sqr_12(z0, a);
sp_3072_mask_12(r + 24, a1, 0 - u);
u += sp_3072_add_12(r + 24, r + 24, r + 24);
u += sp_3072_sub_in_place_24(z1, z2);
u += sp_3072_sub_in_place_24(z1, z0);
u += sp_3072_add_24(r + 12, r + 12, z1);
r[36] = u;
XMEMSET(r + 36 + 1, 0, sizeof(sp_digit) * (12 - 1));
sp_3072_add_24(r + 24, r + 24, z2);
}
/* Sub b from a into a. (a -= b)
*
* a A single precision integer and result.
* b A single precision integer.
*/
static sp_digit sp_3072_sub_in_place_48(sp_digit* a, const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x2, x3, [%[a], 0]\n\t"
"ldp x4, x5, [%[a], 16]\n\t"
"ldp x6, x7, [%[b], 0]\n\t"
"ldp x8, x9, [%[b], 16]\n\t"
"subs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 0]\n\t"
"stp x4, x5, [%[a], 16]\n\t"
"ldp x2, x3, [%[a], 32]\n\t"
"ldp x4, x5, [%[a], 48]\n\t"
"ldp x6, x7, [%[b], 32]\n\t"
"ldp x8, x9, [%[b], 48]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 32]\n\t"
"stp x4, x5, [%[a], 48]\n\t"
"ldp x2, x3, [%[a], 64]\n\t"
"ldp x4, x5, [%[a], 80]\n\t"
"ldp x6, x7, [%[b], 64]\n\t"
"ldp x8, x9, [%[b], 80]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 64]\n\t"
"stp x4, x5, [%[a], 80]\n\t"
"ldp x2, x3, [%[a], 96]\n\t"
"ldp x4, x5, [%[a], 112]\n\t"
"ldp x6, x7, [%[b], 96]\n\t"
"ldp x8, x9, [%[b], 112]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 96]\n\t"
"stp x4, x5, [%[a], 112]\n\t"
"ldp x2, x3, [%[a], 128]\n\t"
"ldp x4, x5, [%[a], 144]\n\t"
"ldp x6, x7, [%[b], 128]\n\t"
"ldp x8, x9, [%[b], 144]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 128]\n\t"
"stp x4, x5, [%[a], 144]\n\t"
"ldp x2, x3, [%[a], 160]\n\t"
"ldp x4, x5, [%[a], 176]\n\t"
"ldp x6, x7, [%[b], 160]\n\t"
"ldp x8, x9, [%[b], 176]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 160]\n\t"
"stp x4, x5, [%[a], 176]\n\t"
"ldp x2, x3, [%[a], 192]\n\t"
"ldp x4, x5, [%[a], 208]\n\t"
"ldp x6, x7, [%[b], 192]\n\t"
"ldp x8, x9, [%[b], 208]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 192]\n\t"
"stp x4, x5, [%[a], 208]\n\t"
"ldp x2, x3, [%[a], 224]\n\t"
"ldp x4, x5, [%[a], 240]\n\t"
"ldp x6, x7, [%[b], 224]\n\t"
"ldp x8, x9, [%[b], 240]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 224]\n\t"
"stp x4, x5, [%[a], 240]\n\t"
"ldp x2, x3, [%[a], 256]\n\t"
"ldp x4, x5, [%[a], 272]\n\t"
"ldp x6, x7, [%[b], 256]\n\t"
"ldp x8, x9, [%[b], 272]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 256]\n\t"
"stp x4, x5, [%[a], 272]\n\t"
"ldp x2, x3, [%[a], 288]\n\t"
"ldp x4, x5, [%[a], 304]\n\t"
"ldp x6, x7, [%[b], 288]\n\t"
"ldp x8, x9, [%[b], 304]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 288]\n\t"
"stp x4, x5, [%[a], 304]\n\t"
"ldp x2, x3, [%[a], 320]\n\t"
"ldp x4, x5, [%[a], 336]\n\t"
"ldp x6, x7, [%[b], 320]\n\t"
"ldp x8, x9, [%[b], 336]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 320]\n\t"
"stp x4, x5, [%[a], 336]\n\t"
"ldp x2, x3, [%[a], 352]\n\t"
"ldp x4, x5, [%[a], 368]\n\t"
"ldp x6, x7, [%[b], 352]\n\t"
"ldp x8, x9, [%[b], 368]\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 352]\n\t"
"stp x4, x5, [%[a], 368]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [a] "r" (a), [b] "r" (b)
: "memory", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9"
);
return c;
}
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_3072_add_48(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x3, x4, [%[a], 0]\n\t"
"ldp x5, x6, [%[a], 16]\n\t"
"ldp x7, x8, [%[b], 0]\n\t"
"ldp x9, x10, [%[b], 16]\n\t"
"adds x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 0]\n\t"
"stp x5, x6, [%[r], 16]\n\t"
"ldp x3, x4, [%[a], 32]\n\t"
"ldp x5, x6, [%[a], 48]\n\t"
"ldp x7, x8, [%[b], 32]\n\t"
"ldp x9, x10, [%[b], 48]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 32]\n\t"
"stp x5, x6, [%[r], 48]\n\t"
"ldp x3, x4, [%[a], 64]\n\t"
"ldp x5, x6, [%[a], 80]\n\t"
"ldp x7, x8, [%[b], 64]\n\t"
"ldp x9, x10, [%[b], 80]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 64]\n\t"
"stp x5, x6, [%[r], 80]\n\t"
"ldp x3, x4, [%[a], 96]\n\t"
"ldp x5, x6, [%[a], 112]\n\t"
"ldp x7, x8, [%[b], 96]\n\t"
"ldp x9, x10, [%[b], 112]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 96]\n\t"
"stp x5, x6, [%[r], 112]\n\t"
"ldp x3, x4, [%[a], 128]\n\t"
"ldp x5, x6, [%[a], 144]\n\t"
"ldp x7, x8, [%[b], 128]\n\t"
"ldp x9, x10, [%[b], 144]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 128]\n\t"
"stp x5, x6, [%[r], 144]\n\t"
"ldp x3, x4, [%[a], 160]\n\t"
"ldp x5, x6, [%[a], 176]\n\t"
"ldp x7, x8, [%[b], 160]\n\t"
"ldp x9, x10, [%[b], 176]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 160]\n\t"
"stp x5, x6, [%[r], 176]\n\t"
"ldp x3, x4, [%[a], 192]\n\t"
"ldp x5, x6, [%[a], 208]\n\t"
"ldp x7, x8, [%[b], 192]\n\t"
"ldp x9, x10, [%[b], 208]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 192]\n\t"
"stp x5, x6, [%[r], 208]\n\t"
"ldp x3, x4, [%[a], 224]\n\t"
"ldp x5, x6, [%[a], 240]\n\t"
"ldp x7, x8, [%[b], 224]\n\t"
"ldp x9, x10, [%[b], 240]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 224]\n\t"
"stp x5, x6, [%[r], 240]\n\t"
"ldp x3, x4, [%[a], 256]\n\t"
"ldp x5, x6, [%[a], 272]\n\t"
"ldp x7, x8, [%[b], 256]\n\t"
"ldp x9, x10, [%[b], 272]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 256]\n\t"
"stp x5, x6, [%[r], 272]\n\t"
"ldp x3, x4, [%[a], 288]\n\t"
"ldp x5, x6, [%[a], 304]\n\t"
"ldp x7, x8, [%[b], 288]\n\t"
"ldp x9, x10, [%[b], 304]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 288]\n\t"
"stp x5, x6, [%[r], 304]\n\t"
"ldp x3, x4, [%[a], 320]\n\t"
"ldp x5, x6, [%[a], 336]\n\t"
"ldp x7, x8, [%[b], 320]\n\t"
"ldp x9, x10, [%[b], 336]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 320]\n\t"
"stp x5, x6, [%[r], 336]\n\t"
"ldp x3, x4, [%[a], 352]\n\t"
"ldp x5, x6, [%[a], 368]\n\t"
"ldp x7, x8, [%[b], 352]\n\t"
"ldp x9, x10, [%[b], 368]\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 352]\n\t"
"stp x5, x6, [%[r], 368]\n\t"
"cset %[c], cs\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_3072_mask_24(sp_digit* r, sp_digit* a, sp_digit m)
{
#ifdef WOLFSSL_SP_SMALL
int i;
for (i=0; i<24; i++)
r[i] = a[i] & m;
#else
int i;
for (i = 0; i < 24; i += 8) {
r[i+0] = a[i+0] & m;
r[i+1] = a[i+1] & m;
r[i+2] = a[i+2] & m;
r[i+3] = a[i+3] & m;
r[i+4] = a[i+4] & m;
r[i+5] = a[i+5] & m;
r[i+6] = a[i+6] & m;
r[i+7] = a[i+7] & m;
}
#endif
}
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_3072_mul_48(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit* z0 = r;
sp_digit z1[48];
sp_digit a1[24];
sp_digit b1[24];
sp_digit z2[48];
sp_digit u, ca, cb;
ca = sp_3072_add_24(a1, a, &a[24]);
cb = sp_3072_add_24(b1, b, &b[24]);
u = ca & cb;
sp_3072_mul_24(z1, a1, b1);
sp_3072_mul_24(z2, &a[24], &b[24]);
sp_3072_mul_24(z0, a, b);
sp_3072_mask_24(r + 48, a1, 0 - cb);
sp_3072_mask_24(b1, b1, 0 - ca);
u += sp_3072_add_24(r + 48, r + 48, b1);
u += sp_3072_sub_in_place_48(z1, z2);
u += sp_3072_sub_in_place_48(z1, z0);
u += sp_3072_add_48(r + 24, r + 24, z1);
r[72] = u;
XMEMSET(r + 72 + 1, 0, sizeof(sp_digit) * (24 - 1));
sp_3072_add_48(r + 48, r + 48, z2);
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_3072_sqr_48(sp_digit* r, const sp_digit* a)
{
sp_digit* z0 = r;
sp_digit z2[48];
sp_digit z1[48];
sp_digit a1[24];
sp_digit u;
u = sp_3072_add_24(a1, a, &a[24]);
sp_3072_sqr_24(z1, a1);
sp_3072_sqr_24(z2, &a[24]);
sp_3072_sqr_24(z0, a);
sp_3072_mask_24(r + 48, a1, 0 - u);
u += sp_3072_add_24(r + 48, r + 48, r + 48);
u += sp_3072_sub_in_place_48(z1, z2);
u += sp_3072_sub_in_place_48(z1, z0);
u += sp_3072_add_48(r + 24, r + 24, z1);
r[72] = u;
XMEMSET(r + 72 + 1, 0, sizeof(sp_digit) * (24 - 1));
sp_3072_add_48(r + 48, r + 48, z2);
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_3072_add_48(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"add x11, %[a], 384\n\t"
"\n1:\n\t"
"adds %[c], %[c], #-1\n\t"
"ldp x3, x4, [%[a]], #16\n\t"
"ldp x5, x6, [%[a]], #16\n\t"
"ldp x7, x8, [%[b]], #16\n\t"
"ldp x9, x10, [%[b]], #16\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r]], #16\n\t"
"stp x5, x6, [%[r]], #16\n\t"
"cset %[c], cs\n\t"
"cmp %[a], x11\n\t"
"b.ne 1b\n\t"
: [c] "+r" (c), [r] "+r" (r), [a] "+r" (a), [b] "+r" (b)
:
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
return c;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Sub b from a into a. (a -= b)
*
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_3072_sub_in_place_48(sp_digit* a, const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"add x10, %[a], 384\n\t"
"\n1:\n\t"
"subs %[c], xzr, %[c]\n\t"
"ldp x2, x3, [%[a]]\n\t"
"ldp x4, x5, [%[a], #16]\n\t"
"ldp x6, x7, [%[b]], #16\n\t"
"ldp x8, x9, [%[b]], #16\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a]], #16\n\t"
"stp x4, x5, [%[a]], #16\n\t"
"csetm %[c], cc\n\t"
"cmp %[a], x10\n\t"
"b.ne 1b\n\t"
: [c] "+r" (c), [a] "+r" (a), [b] "+r" (b)
:
: "memory", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_3072_mul_48(sp_digit* r, const sp_digit* a, const sp_digit* b)
{
sp_digit tmp[96];
__asm__ __volatile__ (
"mov x5, 0\n\t"
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 376\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[b], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 384\n\t"
"b.eq 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 752\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_3072_sqr_48(sp_digit* r, const sp_digit* a)
{
sp_digit tmp[96];
__asm__ __volatile__ (
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"mov x5, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 376\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"cmp x4, x3\n\t"
"b.eq 4f\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[a], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"b.al 5f\n\t"
"\n4:\n\t"
"ldr x10, [%[a], x3]\n\t"
"mul x9, x10, x10\n\t"
"umulh x10, x10, x10\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"\n5:\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 384\n\t"
"b.eq 3f\n\t"
"cmp x3, x4\n\t"
"b.gt 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 752\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
#endif /* WOLFSSL_SP_SMALL */
#if !defined(SP_RSA_PRIVATE_EXP_D) && defined(WOLFSSL_HAVE_SP_RSA)
#ifdef WOLFSSL_SP_SMALL
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_3072_mask_24(sp_digit* r, sp_digit* a, sp_digit m)
{
int i;
for (i=0; i<24; i++)
r[i] = a[i] & m;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_3072_add_24(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"add x11, %[a], 192\n\t"
"\n1:\n\t"
"adds %[c], %[c], #-1\n\t"
"ldp x3, x4, [%[a]], #16\n\t"
"ldp x5, x6, [%[a]], #16\n\t"
"ldp x7, x8, [%[b]], #16\n\t"
"ldp x9, x10, [%[b]], #16\n\t"
"adcs x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r]], #16\n\t"
"stp x5, x6, [%[r]], #16\n\t"
"cset %[c], cs\n\t"
"cmp %[a], x11\n\t"
"b.ne 1b\n\t"
: [c] "+r" (c), [r] "+r" (r), [a] "+r" (a), [b] "+r" (b)
:
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
return c;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Sub b from a into a. (a -= b)
*
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_3072_sub_in_place_24(sp_digit* a, const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"add x10, %[a], 192\n\t"
"\n1:\n\t"
"subs %[c], xzr, %[c]\n\t"
"ldp x2, x3, [%[a]]\n\t"
"ldp x4, x5, [%[a], #16]\n\t"
"ldp x6, x7, [%[b]], #16\n\t"
"ldp x8, x9, [%[b]], #16\n\t"
"sbcs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a]], #16\n\t"
"stp x4, x5, [%[a]], #16\n\t"
"csetm %[c], cc\n\t"
"cmp %[a], x10\n\t"
"b.ne 1b\n\t"
: [c] "+r" (c), [a] "+r" (a), [b] "+r" (b)
:
: "memory", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_3072_mul_24(sp_digit* r, const sp_digit* a, const sp_digit* b)
{
sp_digit tmp[48];
__asm__ __volatile__ (
"mov x5, 0\n\t"
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 184\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[b], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 192\n\t"
"b.eq 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 368\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_3072_sqr_24(sp_digit* r, const sp_digit* a)
{
sp_digit tmp[48];
__asm__ __volatile__ (
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"mov x5, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 184\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"cmp x4, x3\n\t"
"b.eq 4f\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[a], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"b.al 5f\n\t"
"\n4:\n\t"
"ldr x10, [%[a], x3]\n\t"
"mul x9, x10, x10\n\t"
"umulh x10, x10, x10\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"\n5:\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 192\n\t"
"b.eq 3f\n\t"
"cmp x3, x4\n\t"
"b.gt 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 368\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
#endif /* WOLFSSL_SP_SMALL */
#endif /* !SP_RSA_PRIVATE_EXP_D && WOLFSSL_HAVE_SP_RSA */
/* Caclulate the bottom digit of -1/a mod 2^n.
*
* a A single precision number.
* rho Bottom word of inverse.
*/
static void sp_3072_mont_setup(sp_digit* a, sp_digit* rho)
{
sp_digit x, b;
b = a[0];
x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */
x *= 2 - b * x; /* here x*a==1 mod 2**8 */
x *= 2 - b * x; /* here x*a==1 mod 2**16 */
x *= 2 - b * x; /* here x*a==1 mod 2**32 */
x *= 2 - b * x; /* here x*a==1 mod 2**64 */
/* rho = -1/m mod b */
*rho = -x;
}
#if !defined(SP_RSA_PRIVATE_EXP_D) && defined(WOLFSSL_HAVE_SP_RSA)
/* r = 2^n mod m where n is the number of bits to reduce by.
* Given m must be 3072 bits, just need to subtract.
*
* r A single precision number.
* m A signle precision number.
*/
static void sp_3072_mont_norm_24(sp_digit* r, sp_digit* m)
{
XMEMSET(r, 0, sizeof(sp_digit) * 24);
/* r = 2^n mod m */
sp_3072_sub_in_place_24(r, m);
}
/* Conditionally subtract b from a using the mask m.
* m is -1 to subtract and 0 when not copying.
*
* r A single precision number representing condition subtract result.
* a A single precision number to subtract from.
* b A single precision number to subtract.
* m Mask value to apply.
*/
static sp_digit sp_3072_cond_sub_24(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit m)
{
sp_digit c = 0;
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"mov x8, #0\n\t"
"1:\n\t"
"subs %[c], xzr, %[c]\n\t"
"ldr x4, [%[a], x8]\n\t"
"ldr x5, [%[b], x8]\n\t"
"and x5, x5, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"csetm %[c], cc\n\t"
"str x4, [%[r], x8]\n\t"
"add x8, x8, #8\n\t"
"cmp x8, 192\n\t"
"b.lt 1b\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x6", "x5", "x7", "x8"
);
#else
__asm__ __volatile__ (
"ldr x4, [%[a], 0]\n\t"
"ldr x6, [%[a], 8]\n\t"
"ldr x5, [%[b], 0]\n\t"
"ldr x7, [%[b], 8]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"subs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 0]\n\t"
"str x6, [%[r], 8]\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x6, [%[a], 24]\n\t"
"ldr x5, [%[b], 16]\n\t"
"ldr x7, [%[b], 24]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 16]\n\t"
"str x6, [%[r], 24]\n\t"
"ldr x4, [%[a], 32]\n\t"
"ldr x6, [%[a], 40]\n\t"
"ldr x5, [%[b], 32]\n\t"
"ldr x7, [%[b], 40]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 32]\n\t"
"str x6, [%[r], 40]\n\t"
"ldr x4, [%[a], 48]\n\t"
"ldr x6, [%[a], 56]\n\t"
"ldr x5, [%[b], 48]\n\t"
"ldr x7, [%[b], 56]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 48]\n\t"
"str x6, [%[r], 56]\n\t"
"ldr x4, [%[a], 64]\n\t"
"ldr x6, [%[a], 72]\n\t"
"ldr x5, [%[b], 64]\n\t"
"ldr x7, [%[b], 72]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 64]\n\t"
"str x6, [%[r], 72]\n\t"
"ldr x4, [%[a], 80]\n\t"
"ldr x6, [%[a], 88]\n\t"
"ldr x5, [%[b], 80]\n\t"
"ldr x7, [%[b], 88]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 80]\n\t"
"str x6, [%[r], 88]\n\t"
"ldr x4, [%[a], 96]\n\t"
"ldr x6, [%[a], 104]\n\t"
"ldr x5, [%[b], 96]\n\t"
"ldr x7, [%[b], 104]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 96]\n\t"
"str x6, [%[r], 104]\n\t"
"ldr x4, [%[a], 112]\n\t"
"ldr x6, [%[a], 120]\n\t"
"ldr x5, [%[b], 112]\n\t"
"ldr x7, [%[b], 120]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 112]\n\t"
"str x6, [%[r], 120]\n\t"
"ldr x4, [%[a], 128]\n\t"
"ldr x6, [%[a], 136]\n\t"
"ldr x5, [%[b], 128]\n\t"
"ldr x7, [%[b], 136]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 128]\n\t"
"str x6, [%[r], 136]\n\t"
"ldr x4, [%[a], 144]\n\t"
"ldr x6, [%[a], 152]\n\t"
"ldr x5, [%[b], 144]\n\t"
"ldr x7, [%[b], 152]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 144]\n\t"
"str x6, [%[r], 152]\n\t"
"ldr x4, [%[a], 160]\n\t"
"ldr x6, [%[a], 168]\n\t"
"ldr x5, [%[b], 160]\n\t"
"ldr x7, [%[b], 168]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 160]\n\t"
"str x6, [%[r], 168]\n\t"
"ldr x4, [%[a], 176]\n\t"
"ldr x6, [%[a], 184]\n\t"
"ldr x5, [%[b], 176]\n\t"
"ldr x7, [%[b], 184]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 176]\n\t"
"str x6, [%[r], 184]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x6", "x5", "x7", "x8"
);
#endif /* WOLFSSL_SP_SMALL */
return c;
}
/* Reduce the number back to 3072 bits using Montgomery reduction.
*
* a A single precision number to reduce in place.
* m The single precision number representing the modulus.
* mp The digit representing the negative inverse of m mod 2^n.
*/
SP_NOINLINE static void sp_3072_mont_reduce_24(sp_digit* a, sp_digit* m,
sp_digit mp)
{
sp_digit ca = 0;
__asm__ __volatile__ (
"ldp x12, x13, [%[m], 0]\n\t"
"ldp x14, x15, [%[m], 16]\n\t"
"ldp x16, x17, [%[m], 32]\n\t"
"ldp x18, x19, [%[m], 48]\n\t"
"ldp x20, x21, [%[m], 64]\n\t"
"ldp x22, x23, [%[m], 80]\n\t"
"ldp x24, x25, [%[m], 96]\n\t"
"ldp x26, x27, [%[m], 112]\n\t"
"# i = 0\n\t"
"mov x3, 0\n\t"
"ldp x10, x11, [%[a], 0]\n\t"
"\n1:\n\t"
"# mu = a[i] * mp\n\t"
"mul x8, %[mp], x10\n\t"
"# a[i+0] += m[0] * mu\n\t"
"ldr x9, [%[a], 0]\n\t"
"mul x6, x12, x8\n\t"
"umulh x7, x12, x8\n\t"
"adds x10, x10, x6\n\t"
"adc x5, x7, xzr\n\t"
"# a[i+1] += m[1] * mu\n\t"
"ldr x9, [%[a], 8]\n\t"
"mul x6, x13, x8\n\t"
"umulh x7, x13, x8\n\t"
"adds x10, x11, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x10, x10, x5\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+2] += m[2] * mu\n\t"
"ldr x11, [%[a], 16]\n\t"
"mul x6, x14, x8\n\t"
"umulh x7, x14, x8\n\t"
"adds x11, x11, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x11, x11, x4\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+3] += m[3] * mu\n\t"
"ldr x9, [%[a], 24]\n\t"
"mul x6, x15, x8\n\t"
"umulh x7, x15, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 24]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+4] += m[4] * mu\n\t"
"ldr x9, [%[a], 32]\n\t"
"mul x6, x16, x8\n\t"
"umulh x7, x16, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 32]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+5] += m[5] * mu\n\t"
"ldr x9, [%[a], 40]\n\t"
"mul x6, x17, x8\n\t"
"umulh x7, x17, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 40]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+6] += m[6] * mu\n\t"
"ldr x9, [%[a], 48]\n\t"
"mul x6, x18, x8\n\t"
"umulh x7, x18, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 48]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+7] += m[7] * mu\n\t"
"ldr x9, [%[a], 56]\n\t"
"mul x6, x19, x8\n\t"
"umulh x7, x19, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 56]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+8] += m[8] * mu\n\t"
"ldr x9, [%[a], 64]\n\t"
"mul x6, x20, x8\n\t"
"umulh x7, x20, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 64]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+9] += m[9] * mu\n\t"
"ldr x9, [%[a], 72]\n\t"
"mul x6, x21, x8\n\t"
"umulh x7, x21, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 72]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+10] += m[10] * mu\n\t"
"ldr x9, [%[a], 80]\n\t"
"mul x6, x22, x8\n\t"
"umulh x7, x22, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 80]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+11] += m[11] * mu\n\t"
"ldr x9, [%[a], 88]\n\t"
"mul x6, x23, x8\n\t"
"umulh x7, x23, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 88]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+12] += m[12] * mu\n\t"
"ldr x9, [%[a], 96]\n\t"
"mul x6, x24, x8\n\t"
"umulh x7, x24, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 96]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+13] += m[13] * mu\n\t"
"ldr x9, [%[a], 104]\n\t"
"mul x6, x25, x8\n\t"
"umulh x7, x25, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 104]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+14] += m[14] * mu\n\t"
"ldr x9, [%[a], 112]\n\t"
"mul x6, x26, x8\n\t"
"umulh x7, x26, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 112]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+15] += m[15] * mu\n\t"
"ldr x9, [%[a], 120]\n\t"
"mul x6, x27, x8\n\t"
"umulh x7, x27, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 120]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+16] += m[16] * mu\n\t"
"ldr x7, [%[m], 128]\n\t"
"ldr x9, [%[a], 128]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 128]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+17] += m[17] * mu\n\t"
"ldr x7, [%[m], 136]\n\t"
"ldr x9, [%[a], 136]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 136]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+18] += m[18] * mu\n\t"
"ldr x7, [%[m], 144]\n\t"
"ldr x9, [%[a], 144]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 144]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+19] += m[19] * mu\n\t"
"ldr x7, [%[m], 152]\n\t"
"ldr x9, [%[a], 152]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 152]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+20] += m[20] * mu\n\t"
"ldr x7, [%[m], 160]\n\t"
"ldr x9, [%[a], 160]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 160]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+21] += m[21] * mu\n\t"
"ldr x7, [%[m], 168]\n\t"
"ldr x9, [%[a], 168]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 168]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+22] += m[22] * mu\n\t"
"ldr x7, [%[m], 176]\n\t"
"ldr x9, [%[a], 176]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 176]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+23] += m[23] * mu\n\t"
"ldr x7, [%[m], 184]\n\t"
"ldr x9, [%[a], 184]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x7, x7, %[ca]\n\t"
"cset %[ca], cs\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 184]\n\t"
"ldr x9, [%[a], 192]\n\t"
"adcs x9, x9, x7\n\t"
"str x9, [%[a], 192]\n\t"
"adc %[ca], %[ca], xzr\n\t"
"# i += 1\n\t"
"add %[a], %[a], 8\n\t"
"add x3, x3, 8\n\t"
"cmp x3, 192\n\t"
"blt 1b\n\t"
"str x10, [%[a], 0]\n\t"
"str x11, [%[a], 8]\n\t"
: [ca] "+r" (ca), [a] "+r" (a)
: [m] "r" (m), [mp] "r" (mp)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17", "x18", "x19", "x20", "x21", "x22", "x23", "x24", "x25", "x26", "x27"
);
sp_3072_cond_sub_24(a - 24, a, m, (sp_digit)0 - ca);
}
/* Multiply two Montogmery form numbers mod the modulus (prime).
* (r = a * b mod m)
*
* r Result of multiplication.
* a First number to multiply in Montogmery form.
* b Second number to multiply in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
static void sp_3072_mont_mul_24(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit* m, sp_digit mp)
{
sp_3072_mul_24(r, a, b);
sp_3072_mont_reduce_24(r, m, mp);
}
/* Square the Montgomery form number. (r = a * a mod m)
*
* r Result of squaring.
* a Number to square in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
static void sp_3072_mont_sqr_24(sp_digit* r, sp_digit* a, sp_digit* m,
sp_digit mp)
{
sp_3072_sqr_24(r, a);
sp_3072_mont_reduce_24(r, m, mp);
}
/* Mul a by digit b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision digit.
*/
static void sp_3072_mul_d_24(sp_digit* r, const sp_digit* a,
const sp_digit b)
{
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"# A[0] * B\n\t"
"ldr x8, [%[a]]\n\t"
"mul x5, %[b], x8\n\t"
"umulh x3, %[b], x8\n\t"
"mov x4, 0\n\t"
"str x5, [%[r]]\n\t"
"mov x5, 0\n\t"
"mov x9, #8\n\t"
"1:\n\t"
"ldr x8, [%[a], x9]\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], x9]\n\t"
"mov x3, x4\n\t"
"mov x4, x5\n\t"
"mov x5, #0\n\t"
"add x9, x9, #8\n\t"
"cmp x9, 192\n\t"
"b.lt 1b\n\t"
"str x3, [%[r], 192]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
#else
__asm__ __volatile__ (
"# A[0] * B\n\t"
"ldr x8, [%[a]]\n\t"
"mul x3, %[b], x8\n\t"
"umulh x4, %[b], x8\n\t"
"mov x5, 0\n\t"
"str x3, [%[r]]\n\t"
"# A[1] * B\n\t"
"ldr x8, [%[a], 8]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 8]\n\t"
"# A[2] * B\n\t"
"ldr x8, [%[a], 16]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 16]\n\t"
"# A[3] * B\n\t"
"ldr x8, [%[a], 24]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 24]\n\t"
"# A[4] * B\n\t"
"ldr x8, [%[a], 32]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 32]\n\t"
"# A[5] * B\n\t"
"ldr x8, [%[a], 40]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 40]\n\t"
"# A[6] * B\n\t"
"ldr x8, [%[a], 48]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 48]\n\t"
"# A[7] * B\n\t"
"ldr x8, [%[a], 56]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 56]\n\t"
"# A[8] * B\n\t"
"ldr x8, [%[a], 64]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 64]\n\t"
"# A[9] * B\n\t"
"ldr x8, [%[a], 72]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 72]\n\t"
"# A[10] * B\n\t"
"ldr x8, [%[a], 80]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 80]\n\t"
"# A[11] * B\n\t"
"ldr x8, [%[a], 88]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 88]\n\t"
"# A[12] * B\n\t"
"ldr x8, [%[a], 96]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 96]\n\t"
"# A[13] * B\n\t"
"ldr x8, [%[a], 104]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 104]\n\t"
"# A[14] * B\n\t"
"ldr x8, [%[a], 112]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 112]\n\t"
"# A[15] * B\n\t"
"ldr x8, [%[a], 120]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 120]\n\t"
"# A[16] * B\n\t"
"ldr x8, [%[a], 128]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 128]\n\t"
"# A[17] * B\n\t"
"ldr x8, [%[a], 136]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 136]\n\t"
"# A[18] * B\n\t"
"ldr x8, [%[a], 144]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 144]\n\t"
"# A[19] * B\n\t"
"ldr x8, [%[a], 152]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 152]\n\t"
"# A[20] * B\n\t"
"ldr x8, [%[a], 160]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 160]\n\t"
"# A[21] * B\n\t"
"ldr x8, [%[a], 168]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 168]\n\t"
"# A[22] * B\n\t"
"ldr x8, [%[a], 176]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 176]\n\t"
"# A[23] * B\n\t"
"ldr x8, [%[a], 184]\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adc x3, x3, x7\n\t"
"str x5, [%[r], 184]\n\t"
"str x3, [%[r], 192]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
#endif
}
/* Divide the double width number (d1|d0) by the dividend. (d1|d0 / div)
*
* d1 The high order half of the number to divide.
* d0 The low order half of the number to divide.
* div The dividend.
* returns the result of the division.
*/
static sp_digit div_3072_word_24(sp_digit d1, sp_digit d0, sp_digit div)
{
sp_digit r;
__asm__ __volatile__ (
"lsr x5, %[div], 32\n\t"
"add x5, x5, 1\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x6, x3, 32\n\t"
"mul x4, %[div], x6\n\t"
"umulh x3, %[div], x6\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x3, x3, 32\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d0], %[div]\n\t"
"add x6, x6, x3\n\t"
"mul x3, %[div], x3\n\t"
"sub %[d0], %[d0], x3\n\t"
"mov %[r], x6\n\t"
: [r] "=r" (r)
: [d1] "r" (d1), [d0] "r" (d0), [div] "r" (div)
: "x3", "x4", "x5", "x6"
);
return r;
}
/* Compare a with b in constant time.
*
* a A single precision integer.
* b A single precision integer.
* return -ve, 0 or +ve if a is less than, equal to or greater than b
* respectively.
*/
static int64_t sp_3072_cmp_24(sp_digit* a, sp_digit* b)
{
sp_digit r = -1;
sp_digit one = 1;
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"mov x3, -1\n\t"
"mov x6, 184\n\t"
"1:\n\t"
"ldr x4, [%[a], x6]\n\t"
"ldr x5, [%[b], x6]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"sub x6, x6, #8\n\t"
"b.cc 1b\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#else
__asm__ __volatile__ (
"mov x3, -1\n\t"
"ldr x4, [%[a], 184]\n\t"
"ldr x5, [%[b], 184]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 176]\n\t"
"ldr x5, [%[b], 176]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 168]\n\t"
"ldr x5, [%[b], 168]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 160]\n\t"
"ldr x5, [%[b], 160]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 152]\n\t"
"ldr x5, [%[b], 152]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 144]\n\t"
"ldr x5, [%[b], 144]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 136]\n\t"
"ldr x5, [%[b], 136]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 128]\n\t"
"ldr x5, [%[b], 128]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 120]\n\t"
"ldr x5, [%[b], 120]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 112]\n\t"
"ldr x5, [%[b], 112]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 104]\n\t"
"ldr x5, [%[b], 104]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 96]\n\t"
"ldr x5, [%[b], 96]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 88]\n\t"
"ldr x5, [%[b], 88]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 80]\n\t"
"ldr x5, [%[b], 80]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 72]\n\t"
"ldr x5, [%[b], 72]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 64]\n\t"
"ldr x5, [%[b], 64]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 56]\n\t"
"ldr x5, [%[b], 56]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 48]\n\t"
"ldr x5, [%[b], 48]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 40]\n\t"
"ldr x5, [%[b], 40]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 32]\n\t"
"ldr x5, [%[b], 32]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 24]\n\t"
"ldr x5, [%[b], 24]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x5, [%[b], 16]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 8]\n\t"
"ldr x5, [%[b], 8]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 0]\n\t"
"ldr x5, [%[b], 0]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#endif
return r;
}
/* Divide d in a and put remainder into r (m*d + r = a)
* m is not calculated as it is not needed at this time.
*
* a Nmber to be divided.
* d Number to divide with.
* m Multiplier result.
* r Remainder from the division.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_3072_div_24(sp_digit* a, sp_digit* d, sp_digit* m,
sp_digit* r)
{
sp_digit t1[48], t2[25];
sp_digit div, r1;
int i;
(void)m;
div = d[23];
XMEMCPY(t1, a, sizeof(*t1) * 2 * 24);
for (i=23; i>=0; i--) {
r1 = div_3072_word_24(t1[24 + i], t1[24 + i - 1], div);
sp_3072_mul_d_24(t2, d, r1);
t1[24 + i] += sp_3072_sub_in_place_24(&t1[i], t2);
t1[24 + i] -= t2[24];
sp_3072_mask_24(t2, d, t1[24 + i]);
t1[24 + i] += sp_3072_add_24(&t1[i], &t1[i], t2);
sp_3072_mask_24(t2, d, t1[24 + i]);
t1[24 + i] += sp_3072_add_24(&t1[i], &t1[i], t2);
}
r1 = sp_3072_cmp_24(t1, d) >= 0;
sp_3072_cond_sub_24(r, t1, t2, (sp_digit)0 - r1);
return MP_OKAY;
}
/* Reduce a modulo m into r. (r = a mod m)
*
* r A single precision number that is the reduced result.
* a A single precision number that is to be reduced.
* m A single precision number that is the modulus to reduce with.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_3072_mod_24(sp_digit* r, sp_digit* a, sp_digit* m)
{
return sp_3072_div_24(a, m, NULL, r);
}
#ifdef WOLFSSL_SP_SMALL
/* Modular exponentiate a to the e mod m. (r = a^e mod m)
*
* r A single precision number that is the result of the operation.
* a A single precision number being exponentiated.
* e A single precision number that is the exponent.
* bits The number of bits in the exponent.
* m A single precision number that is the modulus.
* returns 0 on success and MEMORY_E on dynamic memory allocation failure.
*/
static int sp_3072_mod_exp_24(sp_digit* r, sp_digit* a, sp_digit* e,
int bits, sp_digit* m, int reduceA)
{
#ifndef WOLFSSL_SMALL_STACK
sp_digit t[16][48];
#else
sp_digit* t[16];
sp_digit* td;
#endif
sp_digit* norm;
sp_digit mp = 1;
sp_digit n;
sp_digit mask;
int i;
int c, y;
int err = MP_OKAY;
#ifdef WOLFSSL_SMALL_STACK
td = (sp_digit*)XMALLOC(sizeof(sp_digit) * 16 * 48, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (td == NULL)
err = MEMORY_E;
if (err == MP_OKAY) {
for (i=0; i<16; i++)
t[i] = td + i * 48;
norm = t[0];
}
#else
norm = t[0];
#endif
if (err == MP_OKAY) {
sp_3072_mont_setup(m, &mp);
sp_3072_mont_norm_24(norm, m);
XMEMSET(t[1], 0, sizeof(sp_digit) * 24);
if (reduceA) {
err = sp_3072_mod_24(t[1] + 24, a, m);
if (err == MP_OKAY)
err = sp_3072_mod_24(t[1], t[1], m);
}
else {
XMEMCPY(t[1] + 24, a, sizeof(sp_digit) * 24);
err = sp_3072_mod_24(t[1], t[1], m);
}
}
if (err == MP_OKAY) {
sp_3072_mont_sqr_24(t[ 2], t[ 1], m, mp);
sp_3072_mont_mul_24(t[ 3], t[ 2], t[ 1], m, mp);
sp_3072_mont_sqr_24(t[ 4], t[ 2], m, mp);
sp_3072_mont_mul_24(t[ 5], t[ 3], t[ 2], m, mp);
sp_3072_mont_sqr_24(t[ 6], t[ 3], m, mp);
sp_3072_mont_mul_24(t[ 7], t[ 4], t[ 3], m, mp);
sp_3072_mont_sqr_24(t[ 8], t[ 4], m, mp);
sp_3072_mont_mul_24(t[ 9], t[ 5], t[ 4], m, mp);
sp_3072_mont_sqr_24(t[10], t[ 5], m, mp);
sp_3072_mont_mul_24(t[11], t[ 6], t[ 5], m, mp);
sp_3072_mont_sqr_24(t[12], t[ 6], m, mp);
sp_3072_mont_mul_24(t[13], t[ 7], t[ 6], m, mp);
sp_3072_mont_sqr_24(t[14], t[ 7], m, mp);
sp_3072_mont_mul_24(t[15], t[ 8], t[ 7], m, mp);
i = (bits - 1) / 64;
n = e[i--];
y = n >> 60;
n <<= 4;
c = 60;
XMEMCPY(r, t[y], sizeof(sp_digit) * 24);
for (; i>=0 || c>=4; ) {
if (c == 0) {
n = e[i--];
y = n >> 60;
n <<= 4;
c = 60;
}
else if (c < 4) {
y = n >> 60;
n = e[i--];
c = 4 - c;
y |= n >> (64 - c);
n <<= c;
c = 64 - c;
}
else {
y = (n >> 60) & 0xf;
n <<= 4;
c -= 4;
}
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_mul_24(r, r, t[y], m, mp);
}
XMEMSET(&r[24], 0, sizeof(sp_digit) * 24);
sp_3072_mont_reduce_24(r, m, mp);
mask = 0 - (sp_3072_cmp_24(r, m) >= 0);
sp_3072_cond_sub_24(r, r, m, mask);
}
#ifdef WOLFSSL_SMALL_STACK
if (td != NULL)
XFREE(td, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
#else
/* Modular exponentiate a to the e mod m. (r = a^e mod m)
*
* r A single precision number that is the result of the operation.
* a A single precision number being exponentiated.
* e A single precision number that is the exponent.
* bits The number of bits in the exponent.
* m A single precision number that is the modulus.
* returns 0 on success and MEMORY_E on dynamic memory allocation failure.
*/
static int sp_3072_mod_exp_24(sp_digit* r, sp_digit* a, sp_digit* e,
int bits, sp_digit* m, int reduceA)
{
#ifndef WOLFSSL_SMALL_STACK
sp_digit t[32][48];
#else
sp_digit* t[32];
sp_digit* td;
#endif
sp_digit* norm;
sp_digit mp = 1;
sp_digit n;
sp_digit mask;
int i;
int c, y;
int err = MP_OKAY;
#ifdef WOLFSSL_SMALL_STACK
td = (sp_digit*)XMALLOC(sizeof(sp_digit) * 32 * 48, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (td == NULL)
err = MEMORY_E;
if (err == MP_OKAY) {
for (i=0; i<32; i++)
t[i] = td + i * 48;
norm = t[0];
}
#else
norm = t[0];
#endif
if (err == MP_OKAY) {
sp_3072_mont_setup(m, &mp);
sp_3072_mont_norm_24(norm, m);
XMEMSET(t[1], 0, sizeof(sp_digit) * 24);
if (reduceA) {
err = sp_3072_mod_24(t[1] + 24, a, m);
if (err == MP_OKAY)
err = sp_3072_mod_24(t[1], t[1], m);
}
else {
XMEMCPY(t[1] + 24, a, sizeof(sp_digit) * 24);
err = sp_3072_mod_24(t[1], t[1], m);
}
}
if (err == MP_OKAY) {
sp_3072_mont_sqr_24(t[ 2], t[ 1], m, mp);
sp_3072_mont_mul_24(t[ 3], t[ 2], t[ 1], m, mp);
sp_3072_mont_sqr_24(t[ 4], t[ 2], m, mp);
sp_3072_mont_mul_24(t[ 5], t[ 3], t[ 2], m, mp);
sp_3072_mont_sqr_24(t[ 6], t[ 3], m, mp);
sp_3072_mont_mul_24(t[ 7], t[ 4], t[ 3], m, mp);
sp_3072_mont_sqr_24(t[ 8], t[ 4], m, mp);
sp_3072_mont_mul_24(t[ 9], t[ 5], t[ 4], m, mp);
sp_3072_mont_sqr_24(t[10], t[ 5], m, mp);
sp_3072_mont_mul_24(t[11], t[ 6], t[ 5], m, mp);
sp_3072_mont_sqr_24(t[12], t[ 6], m, mp);
sp_3072_mont_mul_24(t[13], t[ 7], t[ 6], m, mp);
sp_3072_mont_sqr_24(t[14], t[ 7], m, mp);
sp_3072_mont_mul_24(t[15], t[ 8], t[ 7], m, mp);
sp_3072_mont_sqr_24(t[16], t[ 8], m, mp);
sp_3072_mont_mul_24(t[17], t[ 9], t[ 8], m, mp);
sp_3072_mont_sqr_24(t[18], t[ 9], m, mp);
sp_3072_mont_mul_24(t[19], t[10], t[ 9], m, mp);
sp_3072_mont_sqr_24(t[20], t[10], m, mp);
sp_3072_mont_mul_24(t[21], t[11], t[10], m, mp);
sp_3072_mont_sqr_24(t[22], t[11], m, mp);
sp_3072_mont_mul_24(t[23], t[12], t[11], m, mp);
sp_3072_mont_sqr_24(t[24], t[12], m, mp);
sp_3072_mont_mul_24(t[25], t[13], t[12], m, mp);
sp_3072_mont_sqr_24(t[26], t[13], m, mp);
sp_3072_mont_mul_24(t[27], t[14], t[13], m, mp);
sp_3072_mont_sqr_24(t[28], t[14], m, mp);
sp_3072_mont_mul_24(t[29], t[15], t[14], m, mp);
sp_3072_mont_sqr_24(t[30], t[15], m, mp);
sp_3072_mont_mul_24(t[31], t[16], t[15], m, mp);
i = (bits - 1) / 64;
n = e[i--];
y = n >> 59;
n <<= 5;
c = 59;
XMEMCPY(r, t[y], sizeof(sp_digit) * 24);
for (; i>=0 || c>=5; ) {
if (c == 0) {
n = e[i--];
y = n >> 59;
n <<= 5;
c = 59;
}
else if (c < 5) {
y = n >> 59;
n = e[i--];
c = 5 - c;
y |= n >> (64 - c);
n <<= c;
c = 64 - c;
}
else {
y = (n >> 59) & 0x1f;
n <<= 5;
c -= 5;
}
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_mul_24(r, r, t[y], m, mp);
}
y = e[0] & 0x1;
sp_3072_mont_sqr_24(r, r, m, mp);
sp_3072_mont_mul_24(r, r, t[y], m, mp);
XMEMSET(&r[24], 0, sizeof(sp_digit) * 24);
sp_3072_mont_reduce_24(r, m, mp);
mask = 0 - (sp_3072_cmp_24(r, m) >= 0);
sp_3072_cond_sub_24(r, r, m, mask);
}
#ifdef WOLFSSL_SMALL_STACK
if (td != NULL)
XFREE(td, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
#endif /* WOLFSSL_SP_SMALL */
#endif /* !SP_RSA_PRIVATE_EXP_D && WOLFSSL_HAVE_SP_RSA */
/* r = 2^n mod m where n is the number of bits to reduce by.
* Given m must be 3072 bits, just need to subtract.
*
* r A single precision number.
* m A signle precision number.
*/
static void sp_3072_mont_norm_48(sp_digit* r, sp_digit* m)
{
XMEMSET(r, 0, sizeof(sp_digit) * 48);
/* r = 2^n mod m */
sp_3072_sub_in_place_48(r, m);
}
/* Conditionally subtract b from a using the mask m.
* m is -1 to subtract and 0 when not copying.
*
* r A single precision number representing condition subtract result.
* a A single precision number to subtract from.
* b A single precision number to subtract.
* m Mask value to apply.
*/
static sp_digit sp_3072_cond_sub_48(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit m)
{
sp_digit c = 0;
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"mov x8, #0\n\t"
"1:\n\t"
"subs %[c], xzr, %[c]\n\t"
"ldr x4, [%[a], x8]\n\t"
"ldr x5, [%[b], x8]\n\t"
"and x5, x5, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"csetm %[c], cc\n\t"
"str x4, [%[r], x8]\n\t"
"add x8, x8, #8\n\t"
"cmp x8, 384\n\t"
"b.lt 1b\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x6", "x5", "x7", "x8"
);
#else
__asm__ __volatile__ (
"ldr x4, [%[a], 0]\n\t"
"ldr x6, [%[a], 8]\n\t"
"ldr x5, [%[b], 0]\n\t"
"ldr x7, [%[b], 8]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"subs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 0]\n\t"
"str x6, [%[r], 8]\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x6, [%[a], 24]\n\t"
"ldr x5, [%[b], 16]\n\t"
"ldr x7, [%[b], 24]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 16]\n\t"
"str x6, [%[r], 24]\n\t"
"ldr x4, [%[a], 32]\n\t"
"ldr x6, [%[a], 40]\n\t"
"ldr x5, [%[b], 32]\n\t"
"ldr x7, [%[b], 40]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 32]\n\t"
"str x6, [%[r], 40]\n\t"
"ldr x4, [%[a], 48]\n\t"
"ldr x6, [%[a], 56]\n\t"
"ldr x5, [%[b], 48]\n\t"
"ldr x7, [%[b], 56]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 48]\n\t"
"str x6, [%[r], 56]\n\t"
"ldr x4, [%[a], 64]\n\t"
"ldr x6, [%[a], 72]\n\t"
"ldr x5, [%[b], 64]\n\t"
"ldr x7, [%[b], 72]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 64]\n\t"
"str x6, [%[r], 72]\n\t"
"ldr x4, [%[a], 80]\n\t"
"ldr x6, [%[a], 88]\n\t"
"ldr x5, [%[b], 80]\n\t"
"ldr x7, [%[b], 88]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 80]\n\t"
"str x6, [%[r], 88]\n\t"
"ldr x4, [%[a], 96]\n\t"
"ldr x6, [%[a], 104]\n\t"
"ldr x5, [%[b], 96]\n\t"
"ldr x7, [%[b], 104]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 96]\n\t"
"str x6, [%[r], 104]\n\t"
"ldr x4, [%[a], 112]\n\t"
"ldr x6, [%[a], 120]\n\t"
"ldr x5, [%[b], 112]\n\t"
"ldr x7, [%[b], 120]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 112]\n\t"
"str x6, [%[r], 120]\n\t"
"ldr x4, [%[a], 128]\n\t"
"ldr x6, [%[a], 136]\n\t"
"ldr x5, [%[b], 128]\n\t"
"ldr x7, [%[b], 136]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 128]\n\t"
"str x6, [%[r], 136]\n\t"
"ldr x4, [%[a], 144]\n\t"
"ldr x6, [%[a], 152]\n\t"
"ldr x5, [%[b], 144]\n\t"
"ldr x7, [%[b], 152]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 144]\n\t"
"str x6, [%[r], 152]\n\t"
"ldr x4, [%[a], 160]\n\t"
"ldr x6, [%[a], 168]\n\t"
"ldr x5, [%[b], 160]\n\t"
"ldr x7, [%[b], 168]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 160]\n\t"
"str x6, [%[r], 168]\n\t"
"ldr x4, [%[a], 176]\n\t"
"ldr x6, [%[a], 184]\n\t"
"ldr x5, [%[b], 176]\n\t"
"ldr x7, [%[b], 184]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 176]\n\t"
"str x6, [%[r], 184]\n\t"
"ldr x4, [%[a], 192]\n\t"
"ldr x6, [%[a], 200]\n\t"
"ldr x5, [%[b], 192]\n\t"
"ldr x7, [%[b], 200]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 192]\n\t"
"str x6, [%[r], 200]\n\t"
"ldr x4, [%[a], 208]\n\t"
"ldr x6, [%[a], 216]\n\t"
"ldr x5, [%[b], 208]\n\t"
"ldr x7, [%[b], 216]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 208]\n\t"
"str x6, [%[r], 216]\n\t"
"ldr x4, [%[a], 224]\n\t"
"ldr x6, [%[a], 232]\n\t"
"ldr x5, [%[b], 224]\n\t"
"ldr x7, [%[b], 232]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 224]\n\t"
"str x6, [%[r], 232]\n\t"
"ldr x4, [%[a], 240]\n\t"
"ldr x6, [%[a], 248]\n\t"
"ldr x5, [%[b], 240]\n\t"
"ldr x7, [%[b], 248]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 240]\n\t"
"str x6, [%[r], 248]\n\t"
"ldr x4, [%[a], 256]\n\t"
"ldr x6, [%[a], 264]\n\t"
"ldr x5, [%[b], 256]\n\t"
"ldr x7, [%[b], 264]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 256]\n\t"
"str x6, [%[r], 264]\n\t"
"ldr x4, [%[a], 272]\n\t"
"ldr x6, [%[a], 280]\n\t"
"ldr x5, [%[b], 272]\n\t"
"ldr x7, [%[b], 280]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 272]\n\t"
"str x6, [%[r], 280]\n\t"
"ldr x4, [%[a], 288]\n\t"
"ldr x6, [%[a], 296]\n\t"
"ldr x5, [%[b], 288]\n\t"
"ldr x7, [%[b], 296]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 288]\n\t"
"str x6, [%[r], 296]\n\t"
"ldr x4, [%[a], 304]\n\t"
"ldr x6, [%[a], 312]\n\t"
"ldr x5, [%[b], 304]\n\t"
"ldr x7, [%[b], 312]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 304]\n\t"
"str x6, [%[r], 312]\n\t"
"ldr x4, [%[a], 320]\n\t"
"ldr x6, [%[a], 328]\n\t"
"ldr x5, [%[b], 320]\n\t"
"ldr x7, [%[b], 328]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 320]\n\t"
"str x6, [%[r], 328]\n\t"
"ldr x4, [%[a], 336]\n\t"
"ldr x6, [%[a], 344]\n\t"
"ldr x5, [%[b], 336]\n\t"
"ldr x7, [%[b], 344]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 336]\n\t"
"str x6, [%[r], 344]\n\t"
"ldr x4, [%[a], 352]\n\t"
"ldr x6, [%[a], 360]\n\t"
"ldr x5, [%[b], 352]\n\t"
"ldr x7, [%[b], 360]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 352]\n\t"
"str x6, [%[r], 360]\n\t"
"ldr x4, [%[a], 368]\n\t"
"ldr x6, [%[a], 376]\n\t"
"ldr x5, [%[b], 368]\n\t"
"ldr x7, [%[b], 376]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 368]\n\t"
"str x6, [%[r], 376]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x6", "x5", "x7", "x8"
);
#endif /* WOLFSSL_SP_SMALL */
return c;
}
/* Reduce the number back to 3072 bits using Montgomery reduction.
*
* a A single precision number to reduce in place.
* m The single precision number representing the modulus.
* mp The digit representing the negative inverse of m mod 2^n.
*/
SP_NOINLINE static void sp_3072_mont_reduce_48(sp_digit* a, sp_digit* m,
sp_digit mp)
{
sp_digit ca = 0;
__asm__ __volatile__ (
"ldp x12, x13, [%[m], 0]\n\t"
"ldp x14, x15, [%[m], 16]\n\t"
"ldp x16, x17, [%[m], 32]\n\t"
"ldp x18, x19, [%[m], 48]\n\t"
"ldp x20, x21, [%[m], 64]\n\t"
"ldp x22, x23, [%[m], 80]\n\t"
"ldp x24, x25, [%[m], 96]\n\t"
"ldp x26, x27, [%[m], 112]\n\t"
"# i = 0\n\t"
"mov x3, 0\n\t"
"ldp x10, x11, [%[a], 0]\n\t"
"\n1:\n\t"
"# mu = a[i] * mp\n\t"
"mul x8, %[mp], x10\n\t"
"# a[i+0] += m[0] * mu\n\t"
"ldr x9, [%[a], 0]\n\t"
"mul x6, x12, x8\n\t"
"umulh x7, x12, x8\n\t"
"adds x10, x10, x6\n\t"
"adc x5, x7, xzr\n\t"
"# a[i+1] += m[1] * mu\n\t"
"ldr x9, [%[a], 8]\n\t"
"mul x6, x13, x8\n\t"
"umulh x7, x13, x8\n\t"
"adds x10, x11, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x10, x10, x5\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+2] += m[2] * mu\n\t"
"ldr x11, [%[a], 16]\n\t"
"mul x6, x14, x8\n\t"
"umulh x7, x14, x8\n\t"
"adds x11, x11, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x11, x11, x4\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+3] += m[3] * mu\n\t"
"ldr x9, [%[a], 24]\n\t"
"mul x6, x15, x8\n\t"
"umulh x7, x15, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 24]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+4] += m[4] * mu\n\t"
"ldr x9, [%[a], 32]\n\t"
"mul x6, x16, x8\n\t"
"umulh x7, x16, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 32]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+5] += m[5] * mu\n\t"
"ldr x9, [%[a], 40]\n\t"
"mul x6, x17, x8\n\t"
"umulh x7, x17, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 40]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+6] += m[6] * mu\n\t"
"ldr x9, [%[a], 48]\n\t"
"mul x6, x18, x8\n\t"
"umulh x7, x18, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 48]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+7] += m[7] * mu\n\t"
"ldr x9, [%[a], 56]\n\t"
"mul x6, x19, x8\n\t"
"umulh x7, x19, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 56]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+8] += m[8] * mu\n\t"
"ldr x9, [%[a], 64]\n\t"
"mul x6, x20, x8\n\t"
"umulh x7, x20, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 64]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+9] += m[9] * mu\n\t"
"ldr x9, [%[a], 72]\n\t"
"mul x6, x21, x8\n\t"
"umulh x7, x21, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 72]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+10] += m[10] * mu\n\t"
"ldr x9, [%[a], 80]\n\t"
"mul x6, x22, x8\n\t"
"umulh x7, x22, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 80]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+11] += m[11] * mu\n\t"
"ldr x9, [%[a], 88]\n\t"
"mul x6, x23, x8\n\t"
"umulh x7, x23, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 88]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+12] += m[12] * mu\n\t"
"ldr x9, [%[a], 96]\n\t"
"mul x6, x24, x8\n\t"
"umulh x7, x24, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 96]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+13] += m[13] * mu\n\t"
"ldr x9, [%[a], 104]\n\t"
"mul x6, x25, x8\n\t"
"umulh x7, x25, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 104]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+14] += m[14] * mu\n\t"
"ldr x9, [%[a], 112]\n\t"
"mul x6, x26, x8\n\t"
"umulh x7, x26, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 112]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+15] += m[15] * mu\n\t"
"ldr x9, [%[a], 120]\n\t"
"mul x6, x27, x8\n\t"
"umulh x7, x27, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 120]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+16] += m[16] * mu\n\t"
"ldr x7, [%[m], 128]\n\t"
"ldr x9, [%[a], 128]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 128]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+17] += m[17] * mu\n\t"
"ldr x7, [%[m], 136]\n\t"
"ldr x9, [%[a], 136]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 136]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+18] += m[18] * mu\n\t"
"ldr x7, [%[m], 144]\n\t"
"ldr x9, [%[a], 144]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 144]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+19] += m[19] * mu\n\t"
"ldr x7, [%[m], 152]\n\t"
"ldr x9, [%[a], 152]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 152]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+20] += m[20] * mu\n\t"
"ldr x7, [%[m], 160]\n\t"
"ldr x9, [%[a], 160]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 160]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+21] += m[21] * mu\n\t"
"ldr x7, [%[m], 168]\n\t"
"ldr x9, [%[a], 168]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 168]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+22] += m[22] * mu\n\t"
"ldr x7, [%[m], 176]\n\t"
"ldr x9, [%[a], 176]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 176]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+23] += m[23] * mu\n\t"
"ldr x7, [%[m], 184]\n\t"
"ldr x9, [%[a], 184]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 184]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+24] += m[24] * mu\n\t"
"ldr x7, [%[m], 192]\n\t"
"ldr x9, [%[a], 192]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 192]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+25] += m[25] * mu\n\t"
"ldr x7, [%[m], 200]\n\t"
"ldr x9, [%[a], 200]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 200]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+26] += m[26] * mu\n\t"
"ldr x7, [%[m], 208]\n\t"
"ldr x9, [%[a], 208]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 208]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+27] += m[27] * mu\n\t"
"ldr x7, [%[m], 216]\n\t"
"ldr x9, [%[a], 216]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 216]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+28] += m[28] * mu\n\t"
"ldr x7, [%[m], 224]\n\t"
"ldr x9, [%[a], 224]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 224]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+29] += m[29] * mu\n\t"
"ldr x7, [%[m], 232]\n\t"
"ldr x9, [%[a], 232]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 232]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+30] += m[30] * mu\n\t"
"ldr x7, [%[m], 240]\n\t"
"ldr x9, [%[a], 240]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 240]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+31] += m[31] * mu\n\t"
"ldr x7, [%[m], 248]\n\t"
"ldr x9, [%[a], 248]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 248]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+32] += m[32] * mu\n\t"
"ldr x7, [%[m], 256]\n\t"
"ldr x9, [%[a], 256]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 256]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+33] += m[33] * mu\n\t"
"ldr x7, [%[m], 264]\n\t"
"ldr x9, [%[a], 264]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 264]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+34] += m[34] * mu\n\t"
"ldr x7, [%[m], 272]\n\t"
"ldr x9, [%[a], 272]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 272]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+35] += m[35] * mu\n\t"
"ldr x7, [%[m], 280]\n\t"
"ldr x9, [%[a], 280]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 280]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+36] += m[36] * mu\n\t"
"ldr x7, [%[m], 288]\n\t"
"ldr x9, [%[a], 288]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 288]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+37] += m[37] * mu\n\t"
"ldr x7, [%[m], 296]\n\t"
"ldr x9, [%[a], 296]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 296]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+38] += m[38] * mu\n\t"
"ldr x7, [%[m], 304]\n\t"
"ldr x9, [%[a], 304]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 304]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+39] += m[39] * mu\n\t"
"ldr x7, [%[m], 312]\n\t"
"ldr x9, [%[a], 312]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 312]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+40] += m[40] * mu\n\t"
"ldr x7, [%[m], 320]\n\t"
"ldr x9, [%[a], 320]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 320]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+41] += m[41] * mu\n\t"
"ldr x7, [%[m], 328]\n\t"
"ldr x9, [%[a], 328]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 328]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+42] += m[42] * mu\n\t"
"ldr x7, [%[m], 336]\n\t"
"ldr x9, [%[a], 336]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 336]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+43] += m[43] * mu\n\t"
"ldr x7, [%[m], 344]\n\t"
"ldr x9, [%[a], 344]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 344]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+44] += m[44] * mu\n\t"
"ldr x7, [%[m], 352]\n\t"
"ldr x9, [%[a], 352]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 352]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+45] += m[45] * mu\n\t"
"ldr x7, [%[m], 360]\n\t"
"ldr x9, [%[a], 360]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x4, x7, xzr\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 360]\n\t"
"adc x4, x4, xzr\n\t"
"# a[i+46] += m[46] * mu\n\t"
"ldr x7, [%[m], 368]\n\t"
"ldr x9, [%[a], 368]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x9, x9, x6\n\t"
"adc x5, x7, xzr\n\t"
"adds x9, x9, x4\n\t"
"str x9, [%[a], 368]\n\t"
"adc x5, x5, xzr\n\t"
"# a[i+47] += m[47] * mu\n\t"
"ldr x7, [%[m], 376]\n\t"
"ldr x9, [%[a], 376]\n\t"
"mul x6, x7, x8\n\t"
"umulh x7, x7, x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x7, x7, %[ca]\n\t"
"cset %[ca], cs\n\t"
"adds x9, x9, x5\n\t"
"str x9, [%[a], 376]\n\t"
"ldr x9, [%[a], 384]\n\t"
"adcs x9, x9, x7\n\t"
"str x9, [%[a], 384]\n\t"
"adc %[ca], %[ca], xzr\n\t"
"# i += 1\n\t"
"add %[a], %[a], 8\n\t"
"add x3, x3, 8\n\t"
"cmp x3, 384\n\t"
"blt 1b\n\t"
"str x10, [%[a], 0]\n\t"
"str x11, [%[a], 8]\n\t"
: [ca] "+r" (ca), [a] "+r" (a)
: [m] "r" (m), [mp] "r" (mp)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17", "x18", "x19", "x20", "x21", "x22", "x23", "x24", "x25", "x26", "x27"
);
sp_3072_cond_sub_48(a - 48, a, m, (sp_digit)0 - ca);
}
/* Multiply two Montogmery form numbers mod the modulus (prime).
* (r = a * b mod m)
*
* r Result of multiplication.
* a First number to multiply in Montogmery form.
* b Second number to multiply in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
static void sp_3072_mont_mul_48(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit* m, sp_digit mp)
{
sp_3072_mul_48(r, a, b);
sp_3072_mont_reduce_48(r, m, mp);
}
/* Square the Montgomery form number. (r = a * a mod m)
*
* r Result of squaring.
* a Number to square in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
static void sp_3072_mont_sqr_48(sp_digit* r, sp_digit* a, sp_digit* m,
sp_digit mp)
{
sp_3072_sqr_48(r, a);
sp_3072_mont_reduce_48(r, m, mp);
}
/* Mul a by digit b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision digit.
*/
static void sp_3072_mul_d_48(sp_digit* r, const sp_digit* a,
const sp_digit b)
{
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"# A[0] * B\n\t"
"ldr x8, [%[a]]\n\t"
"mul x5, %[b], x8\n\t"
"umulh x3, %[b], x8\n\t"
"mov x4, 0\n\t"
"str x5, [%[r]]\n\t"
"mov x5, 0\n\t"
"mov x9, #8\n\t"
"1:\n\t"
"ldr x8, [%[a], x9]\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], x9]\n\t"
"mov x3, x4\n\t"
"mov x4, x5\n\t"
"mov x5, #0\n\t"
"add x9, x9, #8\n\t"
"cmp x9, 384\n\t"
"b.lt 1b\n\t"
"str x3, [%[r], 384]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
#else
__asm__ __volatile__ (
"# A[0] * B\n\t"
"ldr x8, [%[a]]\n\t"
"mul x3, %[b], x8\n\t"
"umulh x4, %[b], x8\n\t"
"mov x5, 0\n\t"
"str x3, [%[r]]\n\t"
"# A[1] * B\n\t"
"ldr x8, [%[a], 8]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 8]\n\t"
"# A[2] * B\n\t"
"ldr x8, [%[a], 16]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 16]\n\t"
"# A[3] * B\n\t"
"ldr x8, [%[a], 24]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 24]\n\t"
"# A[4] * B\n\t"
"ldr x8, [%[a], 32]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 32]\n\t"
"# A[5] * B\n\t"
"ldr x8, [%[a], 40]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 40]\n\t"
"# A[6] * B\n\t"
"ldr x8, [%[a], 48]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 48]\n\t"
"# A[7] * B\n\t"
"ldr x8, [%[a], 56]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 56]\n\t"
"# A[8] * B\n\t"
"ldr x8, [%[a], 64]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 64]\n\t"
"# A[9] * B\n\t"
"ldr x8, [%[a], 72]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 72]\n\t"
"# A[10] * B\n\t"
"ldr x8, [%[a], 80]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 80]\n\t"
"# A[11] * B\n\t"
"ldr x8, [%[a], 88]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 88]\n\t"
"# A[12] * B\n\t"
"ldr x8, [%[a], 96]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 96]\n\t"
"# A[13] * B\n\t"
"ldr x8, [%[a], 104]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 104]\n\t"
"# A[14] * B\n\t"
"ldr x8, [%[a], 112]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 112]\n\t"
"# A[15] * B\n\t"
"ldr x8, [%[a], 120]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 120]\n\t"
"# A[16] * B\n\t"
"ldr x8, [%[a], 128]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 128]\n\t"
"# A[17] * B\n\t"
"ldr x8, [%[a], 136]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 136]\n\t"
"# A[18] * B\n\t"
"ldr x8, [%[a], 144]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 144]\n\t"
"# A[19] * B\n\t"
"ldr x8, [%[a], 152]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 152]\n\t"
"# A[20] * B\n\t"
"ldr x8, [%[a], 160]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 160]\n\t"
"# A[21] * B\n\t"
"ldr x8, [%[a], 168]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 168]\n\t"
"# A[22] * B\n\t"
"ldr x8, [%[a], 176]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 176]\n\t"
"# A[23] * B\n\t"
"ldr x8, [%[a], 184]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 184]\n\t"
"# A[24] * B\n\t"
"ldr x8, [%[a], 192]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 192]\n\t"
"# A[25] * B\n\t"
"ldr x8, [%[a], 200]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 200]\n\t"
"# A[26] * B\n\t"
"ldr x8, [%[a], 208]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 208]\n\t"
"# A[27] * B\n\t"
"ldr x8, [%[a], 216]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 216]\n\t"
"# A[28] * B\n\t"
"ldr x8, [%[a], 224]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 224]\n\t"
"# A[29] * B\n\t"
"ldr x8, [%[a], 232]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 232]\n\t"
"# A[30] * B\n\t"
"ldr x8, [%[a], 240]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 240]\n\t"
"# A[31] * B\n\t"
"ldr x8, [%[a], 248]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 248]\n\t"
"# A[32] * B\n\t"
"ldr x8, [%[a], 256]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 256]\n\t"
"# A[33] * B\n\t"
"ldr x8, [%[a], 264]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 264]\n\t"
"# A[34] * B\n\t"
"ldr x8, [%[a], 272]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 272]\n\t"
"# A[35] * B\n\t"
"ldr x8, [%[a], 280]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 280]\n\t"
"# A[36] * B\n\t"
"ldr x8, [%[a], 288]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 288]\n\t"
"# A[37] * B\n\t"
"ldr x8, [%[a], 296]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 296]\n\t"
"# A[38] * B\n\t"
"ldr x8, [%[a], 304]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 304]\n\t"
"# A[39] * B\n\t"
"ldr x8, [%[a], 312]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 312]\n\t"
"# A[40] * B\n\t"
"ldr x8, [%[a], 320]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 320]\n\t"
"# A[41] * B\n\t"
"ldr x8, [%[a], 328]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 328]\n\t"
"# A[42] * B\n\t"
"ldr x8, [%[a], 336]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 336]\n\t"
"# A[43] * B\n\t"
"ldr x8, [%[a], 344]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 344]\n\t"
"# A[44] * B\n\t"
"ldr x8, [%[a], 352]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 352]\n\t"
"# A[45] * B\n\t"
"ldr x8, [%[a], 360]\n\t"
"mov x5, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"str x3, [%[r], 360]\n\t"
"# A[46] * B\n\t"
"ldr x8, [%[a], 368]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 368]\n\t"
"# A[47] * B\n\t"
"ldr x8, [%[a], 376]\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adc x3, x3, x7\n\t"
"str x5, [%[r], 376]\n\t"
"str x3, [%[r], 384]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
#endif
}
/* Divide the double width number (d1|d0) by the dividend. (d1|d0 / div)
*
* d1 The high order half of the number to divide.
* d0 The low order half of the number to divide.
* div The dividend.
* returns the result of the division.
*/
static sp_digit div_3072_word_48(sp_digit d1, sp_digit d0, sp_digit div)
{
sp_digit r;
__asm__ __volatile__ (
"lsr x5, %[div], 32\n\t"
"add x5, x5, 1\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x6, x3, 32\n\t"
"mul x4, %[div], x6\n\t"
"umulh x3, %[div], x6\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x3, x3, 32\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d0], %[div]\n\t"
"add x6, x6, x3\n\t"
"mul x3, %[div], x3\n\t"
"sub %[d0], %[d0], x3\n\t"
"mov %[r], x6\n\t"
: [r] "=r" (r)
: [d1] "r" (d1), [d0] "r" (d0), [div] "r" (div)
: "x3", "x4", "x5", "x6"
);
return r;
}
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_3072_mask_48(sp_digit* r, sp_digit* a, sp_digit m)
{
#ifdef WOLFSSL_SP_SMALL
int i;
for (i=0; i<48; i++)
r[i] = a[i] & m;
#else
int i;
for (i = 0; i < 48; i += 8) {
r[i+0] = a[i+0] & m;
r[i+1] = a[i+1] & m;
r[i+2] = a[i+2] & m;
r[i+3] = a[i+3] & m;
r[i+4] = a[i+4] & m;
r[i+5] = a[i+5] & m;
r[i+6] = a[i+6] & m;
r[i+7] = a[i+7] & m;
}
#endif
}
/* Compare a with b in constant time.
*
* a A single precision integer.
* b A single precision integer.
* return -ve, 0 or +ve if a is less than, equal to or greater than b
* respectively.
*/
static int64_t sp_3072_cmp_48(sp_digit* a, sp_digit* b)
{
sp_digit r = -1;
sp_digit one = 1;
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"mov x3, -1\n\t"
"mov x6, 376\n\t"
"1:\n\t"
"ldr x4, [%[a], x6]\n\t"
"ldr x5, [%[b], x6]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"sub x6, x6, #8\n\t"
"b.cc 1b\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#else
__asm__ __volatile__ (
"mov x3, -1\n\t"
"ldr x4, [%[a], 376]\n\t"
"ldr x5, [%[b], 376]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 368]\n\t"
"ldr x5, [%[b], 368]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 360]\n\t"
"ldr x5, [%[b], 360]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 352]\n\t"
"ldr x5, [%[b], 352]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 344]\n\t"
"ldr x5, [%[b], 344]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 336]\n\t"
"ldr x5, [%[b], 336]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 328]\n\t"
"ldr x5, [%[b], 328]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 320]\n\t"
"ldr x5, [%[b], 320]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 312]\n\t"
"ldr x5, [%[b], 312]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 304]\n\t"
"ldr x5, [%[b], 304]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 296]\n\t"
"ldr x5, [%[b], 296]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 288]\n\t"
"ldr x5, [%[b], 288]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 280]\n\t"
"ldr x5, [%[b], 280]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 272]\n\t"
"ldr x5, [%[b], 272]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 264]\n\t"
"ldr x5, [%[b], 264]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 256]\n\t"
"ldr x5, [%[b], 256]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 248]\n\t"
"ldr x5, [%[b], 248]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 240]\n\t"
"ldr x5, [%[b], 240]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 232]\n\t"
"ldr x5, [%[b], 232]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 224]\n\t"
"ldr x5, [%[b], 224]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 216]\n\t"
"ldr x5, [%[b], 216]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 208]\n\t"
"ldr x5, [%[b], 208]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 200]\n\t"
"ldr x5, [%[b], 200]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 192]\n\t"
"ldr x5, [%[b], 192]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 184]\n\t"
"ldr x5, [%[b], 184]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 176]\n\t"
"ldr x5, [%[b], 176]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 168]\n\t"
"ldr x5, [%[b], 168]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 160]\n\t"
"ldr x5, [%[b], 160]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 152]\n\t"
"ldr x5, [%[b], 152]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 144]\n\t"
"ldr x5, [%[b], 144]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 136]\n\t"
"ldr x5, [%[b], 136]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 128]\n\t"
"ldr x5, [%[b], 128]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 120]\n\t"
"ldr x5, [%[b], 120]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 112]\n\t"
"ldr x5, [%[b], 112]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 104]\n\t"
"ldr x5, [%[b], 104]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 96]\n\t"
"ldr x5, [%[b], 96]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 88]\n\t"
"ldr x5, [%[b], 88]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 80]\n\t"
"ldr x5, [%[b], 80]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 72]\n\t"
"ldr x5, [%[b], 72]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 64]\n\t"
"ldr x5, [%[b], 64]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 56]\n\t"
"ldr x5, [%[b], 56]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 48]\n\t"
"ldr x5, [%[b], 48]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 40]\n\t"
"ldr x5, [%[b], 40]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 32]\n\t"
"ldr x5, [%[b], 32]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 24]\n\t"
"ldr x5, [%[b], 24]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x5, [%[b], 16]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 8]\n\t"
"ldr x5, [%[b], 8]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 0]\n\t"
"ldr x5, [%[b], 0]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#endif
return r;
}
/* Divide d in a and put remainder into r (m*d + r = a)
* m is not calculated as it is not needed at this time.
*
* a Nmber to be divided.
* d Number to divide with.
* m Multiplier result.
* r Remainder from the division.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_3072_div_48(sp_digit* a, sp_digit* d, sp_digit* m,
sp_digit* r)
{
sp_digit t1[96], t2[49];
sp_digit div, r1;
int i;
(void)m;
div = d[47];
XMEMCPY(t1, a, sizeof(*t1) * 2 * 48);
for (i=47; i>=0; i--) {
r1 = div_3072_word_48(t1[48 + i], t1[48 + i - 1], div);
sp_3072_mul_d_48(t2, d, r1);
t1[48 + i] += sp_3072_sub_in_place_48(&t1[i], t2);
t1[48 + i] -= t2[48];
sp_3072_mask_48(t2, d, t1[48 + i]);
t1[48 + i] += sp_3072_add_48(&t1[i], &t1[i], t2);
sp_3072_mask_48(t2, d, t1[48 + i]);
t1[48 + i] += sp_3072_add_48(&t1[i], &t1[i], t2);
}
r1 = sp_3072_cmp_48(t1, d) >= 0;
sp_3072_cond_sub_48(r, t1, t2, (sp_digit)0 - r1);
return MP_OKAY;
}
/* Reduce a modulo m into r. (r = a mod m)
*
* r A single precision number that is the reduced result.
* a A single precision number that is to be reduced.
* m A single precision number that is the modulus to reduce with.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_3072_mod_48(sp_digit* r, sp_digit* a, sp_digit* m)
{
return sp_3072_div_48(a, m, NULL, r);
}
/* Divide d in a and put remainder into r (m*d + r = a)
* m is not calculated as it is not needed at this time.
*
* a Nmber to be divided.
* d Number to divide with.
* m Multiplier result.
* r Remainder from the division.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_3072_div_48_cond(sp_digit* a, sp_digit* d, sp_digit* m,
sp_digit* r)
{
sp_digit t1[96], t2[49];
sp_digit div, r1;
int i;
(void)m;
div = d[47];
XMEMCPY(t1, a, sizeof(*t1) * 2 * 48);
for (i=47; i>=0; i--) {
r1 = div_3072_word_48(t1[48 + i], t1[48 + i - 1], div);
sp_3072_mul_d_48(t2, d, r1);
t1[48 + i] += sp_3072_sub_in_place_48(&t1[i], t2);
t1[48 + i] -= t2[48];
if (t1[48 + i] != 0) {
t1[48 + i] += sp_3072_add_48(&t1[i], &t1[i], d);
if (t1[48 + i] != 0)
t1[48 + i] += sp_3072_add_48(&t1[i], &t1[i], d);
}
}
r1 = sp_3072_cmp_48(t1, d) >= 0;
sp_3072_cond_sub_48(r, t1, t2, (sp_digit)0 - r1);
return MP_OKAY;
}
/* Reduce a modulo m into r. (r = a mod m)
*
* r A single precision number that is the reduced result.
* a A single precision number that is to be reduced.
* m A single precision number that is the modulus to reduce with.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_3072_mod_48_cond(sp_digit* r, sp_digit* a, sp_digit* m)
{
return sp_3072_div_48_cond(a, m, NULL, r);
}
#if defined(SP_RSA_PRIVATE_EXP_D) || defined(WOLFSSL_HAVE_SP_DH)
#ifdef WOLFSSL_SP_SMALL
/* Modular exponentiate a to the e mod m. (r = a^e mod m)
*
* r A single precision number that is the result of the operation.
* a A single precision number being exponentiated.
* e A single precision number that is the exponent.
* bits The number of bits in the exponent.
* m A single precision number that is the modulus.
* returns 0 on success and MEMORY_E on dynamic memory allocation failure.
*/
static int sp_3072_mod_exp_48(sp_digit* r, sp_digit* a, sp_digit* e,
int bits, sp_digit* m, int reduceA)
{
#ifndef WOLFSSL_SMALL_STACK
sp_digit t[16][96];
#else
sp_digit* t[16];
sp_digit* td;
#endif
sp_digit* norm;
sp_digit mp = 1;
sp_digit n;
sp_digit mask;
int i;
int c, y;
int err = MP_OKAY;
#ifdef WOLFSSL_SMALL_STACK
td = (sp_digit*)XMALLOC(sizeof(sp_digit) * 16 * 96, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (td == NULL)
err = MEMORY_E;
if (err == MP_OKAY) {
for (i=0; i<16; i++)
t[i] = td + i * 96;
norm = t[0];
}
#else
norm = t[0];
#endif
if (err == MP_OKAY) {
sp_3072_mont_setup(m, &mp);
sp_3072_mont_norm_48(norm, m);
XMEMSET(t[1], 0, sizeof(sp_digit) * 48);
if (reduceA) {
err = sp_3072_mod_48(t[1] + 48, a, m);
if (err == MP_OKAY)
err = sp_3072_mod_48(t[1], t[1], m);
}
else {
XMEMCPY(t[1] + 48, a, sizeof(sp_digit) * 48);
err = sp_3072_mod_48(t[1], t[1], m);
}
}
if (err == MP_OKAY) {
sp_3072_mont_sqr_48(t[ 2], t[ 1], m, mp);
sp_3072_mont_mul_48(t[ 3], t[ 2], t[ 1], m, mp);
sp_3072_mont_sqr_48(t[ 4], t[ 2], m, mp);
sp_3072_mont_mul_48(t[ 5], t[ 3], t[ 2], m, mp);
sp_3072_mont_sqr_48(t[ 6], t[ 3], m, mp);
sp_3072_mont_mul_48(t[ 7], t[ 4], t[ 3], m, mp);
sp_3072_mont_sqr_48(t[ 8], t[ 4], m, mp);
sp_3072_mont_mul_48(t[ 9], t[ 5], t[ 4], m, mp);
sp_3072_mont_sqr_48(t[10], t[ 5], m, mp);
sp_3072_mont_mul_48(t[11], t[ 6], t[ 5], m, mp);
sp_3072_mont_sqr_48(t[12], t[ 6], m, mp);
sp_3072_mont_mul_48(t[13], t[ 7], t[ 6], m, mp);
sp_3072_mont_sqr_48(t[14], t[ 7], m, mp);
sp_3072_mont_mul_48(t[15], t[ 8], t[ 7], m, mp);
i = (bits - 1) / 64;
n = e[i--];
y = n >> 60;
n <<= 4;
c = 60;
XMEMCPY(r, t[y], sizeof(sp_digit) * 48);
for (; i>=0 || c>=4; ) {
if (c == 0) {
n = e[i--];
y = n >> 60;
n <<= 4;
c = 60;
}
else if (c < 4) {
y = n >> 60;
n = e[i--];
c = 4 - c;
y |= n >> (64 - c);
n <<= c;
c = 64 - c;
}
else {
y = (n >> 60) & 0xf;
n <<= 4;
c -= 4;
}
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_mul_48(r, r, t[y], m, mp);
}
XMEMSET(&r[48], 0, sizeof(sp_digit) * 48);
sp_3072_mont_reduce_48(r, m, mp);
mask = 0 - (sp_3072_cmp_48(r, m) >= 0);
sp_3072_cond_sub_48(r, r, m, mask);
}
#ifdef WOLFSSL_SMALL_STACK
if (td != NULL)
XFREE(td, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
#else
/* Modular exponentiate a to the e mod m. (r = a^e mod m)
*
* r A single precision number that is the result of the operation.
* a A single precision number being exponentiated.
* e A single precision number that is the exponent.
* bits The number of bits in the exponent.
* m A single precision number that is the modulus.
* returns 0 on success and MEMORY_E on dynamic memory allocation failure.
*/
static int sp_3072_mod_exp_48(sp_digit* r, sp_digit* a, sp_digit* e,
int bits, sp_digit* m, int reduceA)
{
#ifndef WOLFSSL_SMALL_STACK
sp_digit t[32][96];
#else
sp_digit* t[32];
sp_digit* td;
#endif
sp_digit* norm;
sp_digit mp = 1;
sp_digit n;
sp_digit mask;
int i;
int c, y;
int err = MP_OKAY;
#ifdef WOLFSSL_SMALL_STACK
td = (sp_digit*)XMALLOC(sizeof(sp_digit) * 32 * 96, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (td == NULL)
err = MEMORY_E;
if (err == MP_OKAY) {
for (i=0; i<32; i++)
t[i] = td + i * 96;
norm = t[0];
}
#else
norm = t[0];
#endif
if (err == MP_OKAY) {
sp_3072_mont_setup(m, &mp);
sp_3072_mont_norm_48(norm, m);
XMEMSET(t[1], 0, sizeof(sp_digit) * 48);
if (reduceA) {
err = sp_3072_mod_48(t[1] + 48, a, m);
if (err == MP_OKAY)
err = sp_3072_mod_48(t[1], t[1], m);
}
else {
XMEMCPY(t[1] + 48, a, sizeof(sp_digit) * 48);
err = sp_3072_mod_48(t[1], t[1], m);
}
}
if (err == MP_OKAY) {
sp_3072_mont_sqr_48(t[ 2], t[ 1], m, mp);
sp_3072_mont_mul_48(t[ 3], t[ 2], t[ 1], m, mp);
sp_3072_mont_sqr_48(t[ 4], t[ 2], m, mp);
sp_3072_mont_mul_48(t[ 5], t[ 3], t[ 2], m, mp);
sp_3072_mont_sqr_48(t[ 6], t[ 3], m, mp);
sp_3072_mont_mul_48(t[ 7], t[ 4], t[ 3], m, mp);
sp_3072_mont_sqr_48(t[ 8], t[ 4], m, mp);
sp_3072_mont_mul_48(t[ 9], t[ 5], t[ 4], m, mp);
sp_3072_mont_sqr_48(t[10], t[ 5], m, mp);
sp_3072_mont_mul_48(t[11], t[ 6], t[ 5], m, mp);
sp_3072_mont_sqr_48(t[12], t[ 6], m, mp);
sp_3072_mont_mul_48(t[13], t[ 7], t[ 6], m, mp);
sp_3072_mont_sqr_48(t[14], t[ 7], m, mp);
sp_3072_mont_mul_48(t[15], t[ 8], t[ 7], m, mp);
sp_3072_mont_sqr_48(t[16], t[ 8], m, mp);
sp_3072_mont_mul_48(t[17], t[ 9], t[ 8], m, mp);
sp_3072_mont_sqr_48(t[18], t[ 9], m, mp);
sp_3072_mont_mul_48(t[19], t[10], t[ 9], m, mp);
sp_3072_mont_sqr_48(t[20], t[10], m, mp);
sp_3072_mont_mul_48(t[21], t[11], t[10], m, mp);
sp_3072_mont_sqr_48(t[22], t[11], m, mp);
sp_3072_mont_mul_48(t[23], t[12], t[11], m, mp);
sp_3072_mont_sqr_48(t[24], t[12], m, mp);
sp_3072_mont_mul_48(t[25], t[13], t[12], m, mp);
sp_3072_mont_sqr_48(t[26], t[13], m, mp);
sp_3072_mont_mul_48(t[27], t[14], t[13], m, mp);
sp_3072_mont_sqr_48(t[28], t[14], m, mp);
sp_3072_mont_mul_48(t[29], t[15], t[14], m, mp);
sp_3072_mont_sqr_48(t[30], t[15], m, mp);
sp_3072_mont_mul_48(t[31], t[16], t[15], m, mp);
i = (bits - 1) / 64;
n = e[i--];
y = n >> 59;
n <<= 5;
c = 59;
XMEMCPY(r, t[y], sizeof(sp_digit) * 48);
for (; i>=0 || c>=5; ) {
if (c == 0) {
n = e[i--];
y = n >> 59;
n <<= 5;
c = 59;
}
else if (c < 5) {
y = n >> 59;
n = e[i--];
c = 5 - c;
y |= n >> (64 - c);
n <<= c;
c = 64 - c;
}
else {
y = (n >> 59) & 0x1f;
n <<= 5;
c -= 5;
}
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_mul_48(r, r, t[y], m, mp);
}
y = e[0] & 0x3;
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_sqr_48(r, r, m, mp);
sp_3072_mont_mul_48(r, r, t[y], m, mp);
XMEMSET(&r[48], 0, sizeof(sp_digit) * 48);
sp_3072_mont_reduce_48(r, m, mp);
mask = 0 - (sp_3072_cmp_48(r, m) >= 0);
sp_3072_cond_sub_48(r, r, m, mask);
}
#ifdef WOLFSSL_SMALL_STACK
if (td != NULL)
XFREE(td, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
#endif /* WOLFSSL_SP_SMALL */
#endif /* SP_RSA_PRIVATE_EXP_D || WOLFSSL_HAVE_SP_DH */
#ifdef WOLFSSL_HAVE_SP_RSA
/* RSA public key operation.
*
* in Array of bytes representing the number to exponentiate, base.
* inLen Number of bytes in base.
* em Public exponent.
* mm Modulus.
* out Buffer to hold big-endian bytes of exponentiation result.
* Must be at least 384 bytes long.
* outLen Number of bytes in result.
* returns 0 on success, MP_TO_E when the outLen is too small, MP_READ_E when
* an array is too long and MEMORY_E when dynamic memory allocation fails.
*/
int sp_RsaPublic_3072(const byte* in, word32 inLen, mp_int* em, mp_int* mm,
byte* out, word32* outLen)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_digit ad[96], md[48], rd[96];
#else
sp_digit* d = NULL;
#endif
sp_digit* a;
sp_digit *ah;
sp_digit* m;
sp_digit* r;
sp_digit e[1];
int err = MP_OKAY;
if (*outLen < 384)
err = MP_TO_E;
if (err == MP_OKAY && (mp_count_bits(em) > 64 || inLen > 384 ||
mp_count_bits(mm) != 3072))
err = MP_READ_E;
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
d = (sp_digit*)XMALLOC(sizeof(sp_digit) * 48 * 5, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (d == NULL)
err = MEMORY_E;
}
if (err == MP_OKAY) {
a = d;
r = a + 48 * 2;
m = r + 48 * 2;
ah = a + 48;
}
#else
a = ad;
m = md;
r = rd;
ah = a + 48;
#endif
if (err == MP_OKAY) {
sp_3072_from_bin(ah, 48, in, inLen);
#if DIGIT_BIT >= 64
e[0] = em->dp[0];
#else
e[0] = em->dp[0];
if (em->used > 1)
e[0] |= ((sp_digit)em->dp[1]) << DIGIT_BIT;
#endif
if (e[0] == 0)
err = MP_EXPTMOD_E;
}
if (err == MP_OKAY) {
sp_3072_from_mp(m, 48, mm);
if (e[0] == 0x3) {
if (err == MP_OKAY) {
sp_3072_sqr_48(r, ah);
err = sp_3072_mod_48_cond(r, r, m);
}
if (err == MP_OKAY) {
sp_3072_mul_48(r, ah, r);
err = sp_3072_mod_48_cond(r, r, m);
}
}
else {
int i;
sp_digit mp;
sp_3072_mont_setup(m, &mp);
/* Convert to Montgomery form. */
XMEMSET(a, 0, sizeof(sp_digit) * 48);
err = sp_3072_mod_48_cond(a, a, m);
if (err == MP_OKAY) {
for (i=63; i>=0; i--)
if (e[0] >> i)
break;
XMEMCPY(r, a, sizeof(sp_digit) * 48);
for (i--; i>=0; i--) {
sp_3072_mont_sqr_48(r, r, m, mp);
if (((e[0] >> i) & 1) == 1)
sp_3072_mont_mul_48(r, r, a, m, mp);
}
XMEMSET(&r[48], 0, sizeof(sp_digit) * 48);
sp_3072_mont_reduce_48(r, m, mp);
for (i = 47; i > 0; i--) {
if (r[i] != m[i])
break;
}
if (r[i] >= m[i])
sp_3072_sub_in_place_48(r, m);
}
}
}
if (err == MP_OKAY) {
sp_3072_to_bin(r, out);
*outLen = 384;
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (d != NULL)
XFREE(d, NULL, DYNAMIC_TYPE_TMP_BUFFER);
#endif
return err;
}
/* RSA private key operation.
*
* in Array of bytes representing the number to exponentiate, base.
* inLen Number of bytes in base.
* dm Private exponent.
* pm First prime.
* qm Second prime.
* dpm First prime's CRT exponent.
* dqm Second prime's CRT exponent.
* qim Inverse of second prime mod p.
* mm Modulus.
* out Buffer to hold big-endian bytes of exponentiation result.
* Must be at least 384 bytes long.
* outLen Number of bytes in result.
* returns 0 on success, MP_TO_E when the outLen is too small, MP_READ_E when
* an array is too long and MEMORY_E when dynamic memory allocation fails.
*/
int sp_RsaPrivate_3072(const byte* in, word32 inLen, mp_int* dm,
mp_int* pm, mp_int* qm, mp_int* dpm, mp_int* dqm, mp_int* qim, mp_int* mm,
byte* out, word32* outLen)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_digit ad[48 * 2];
sp_digit pd[24], qd[24], dpd[24];
sp_digit tmpad[48], tmpbd[48];
#else
sp_digit* t = NULL;
#endif
sp_digit* a;
sp_digit* p;
sp_digit* q;
sp_digit* dp;
sp_digit* dq;
sp_digit* qi;
sp_digit* tmp;
sp_digit* tmpa;
sp_digit* tmpb;
sp_digit* r;
sp_digit c;
int err = MP_OKAY;
(void)dm;
(void)mm;
if (*outLen < 384)
err = MP_TO_E;
if (err == MP_OKAY && (inLen > 384 || mp_count_bits(mm) != 3072))
err = MP_READ_E;
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
t = (sp_digit*)XMALLOC(sizeof(sp_digit) * 24 * 11, NULL,
DYNAMIC_TYPE_TMP_BUFFER);
if (t == NULL)
err = MEMORY_E;
}
if (err == MP_OKAY) {
a = t;
p = a + 48 * 2;
q = p + 24;
qi = dq = dp = q + 24;
tmpa = qi + 24;
tmpb = tmpa + 48;
tmp = t;
r = tmp + 48;
}
#else
r = a = ad;
p = pd;
q = qd;
qi = dq = dp = dpd;
tmpa = tmpad;
tmpb = tmpbd;
tmp = a + 48;
#endif
if (err == MP_OKAY) {
sp_3072_from_bin(a, 48, in, inLen);
sp_3072_from_mp(p, 24, pm);
sp_3072_from_mp(q, 24, qm);
sp_3072_from_mp(dp, 24, dpm);
err = sp_3072_mod_exp_24(tmpa, a, dp, 1536, p, 1);
}
if (err == MP_OKAY) {
sp_3072_from_mp(dq, 24, dqm);
err = sp_3072_mod_exp_24(tmpb, a, dq, 1536, q, 1);
}
if (err == MP_OKAY) {
c = sp_3072_sub_in_place_24(tmpa, tmpb);
sp_3072_mask_24(tmp, p, c);
sp_3072_add_24(tmpa, tmpa, tmp);
sp_3072_from_mp(qi, 24, qim);
sp_3072_mul_24(tmpa, tmpa, qi);
err = sp_3072_mod_24(tmpa, tmpa, p);
}
if (err == MP_OKAY) {
sp_3072_mul_24(tmpa, q, tmpa);
XMEMSET(&tmpb[24], 0, sizeof(sp_digit) * 24);
sp_3072_add_48(r, tmpb, tmpa);
sp_3072_to_bin(r, out);
*outLen = 384;
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (t != NULL) {
XMEMSET(t, 0, sizeof(sp_digit) * 24 * 11);
XFREE(t, NULL, DYNAMIC_TYPE_TMP_BUFFER);
}
#else
XMEMSET(tmpad, 0, sizeof(tmpad));
XMEMSET(tmpbd, 0, sizeof(tmpbd));
XMEMSET(pd, 0, sizeof(pd));
XMEMSET(qd, 0, sizeof(qd));
XMEMSET(dpd, 0, sizeof(dpd));
#endif
return err;
}
#endif /* WOLFSSL_HAVE_SP_RSA */
#ifdef WOLFSSL_HAVE_SP_DH
/* Convert an array of sp_digit to an mp_int.
*
* a A single precision integer.
* r A multi-precision integer.
*/
static int sp_3072_to_mp(sp_digit* a, mp_int* r)
{
int err;
err = mp_grow(r, (3072 + DIGIT_BIT - 1) / DIGIT_BIT);
if (err == MP_OKAY) {
#if DIGIT_BIT == 64
XMEMCPY(r->dp, a, sizeof(sp_digit) * 48);
r->used = 48;
mp_clamp(r);
#elif DIGIT_BIT < 64
int i, j = 0, s = 0;
r->dp[0] = 0;
for (i = 0; i < 48; i++) {
r->dp[j] |= a[i] << s;
r->dp[j] &= (1l << DIGIT_BIT) - 1;
s = DIGIT_BIT - s;
r->dp[++j] = a[i] >> s;
while (s + DIGIT_BIT <= 64) {
s += DIGIT_BIT;
r->dp[j] &= (1l << DIGIT_BIT) - 1;
r->dp[++j] = a[i] >> s;
}
s = 64 - s;
}
r->used = (3072 + DIGIT_BIT - 1) / DIGIT_BIT;
mp_clamp(r);
#else
int i, j = 0, s = 0;
r->dp[0] = 0;
for (i = 0; i < 48; i++) {
r->dp[j] |= ((mp_digit)a[i]) << s;
if (s + 64 >= DIGIT_BIT) {
#if DIGIT_BIT < 64
r->dp[j] &= (1l << DIGIT_BIT) - 1;
#endif
s = DIGIT_BIT - s;
r->dp[++j] = a[i] >> s;
s = 64 - s;
}
else
s += 64;
}
r->used = (3072 + DIGIT_BIT - 1) / DIGIT_BIT;
mp_clamp(r);
#endif
}
return err;
}
/* Perform the modular exponentiation for Diffie-Hellman.
*
* base Base. MP integer.
* exp Exponent. MP integer.
* mod Modulus. MP integer.
* res Result. MP integer.
* returs 0 on success, MP_READ_E if there are too many bytes in an array
* and MEMORY_E if memory allocation fails.
*/
int sp_ModExp_3072(mp_int* base, mp_int* exp, mp_int* mod, mp_int* res)
{
int err = MP_OKAY;
sp_digit b[96], e[48], m[48];
sp_digit* r = b;
int expBits = mp_count_bits(exp);
if (mp_count_bits(base) > 3072 || expBits > 3072 ||
mp_count_bits(mod) != 3072) {
err = MP_READ_E;
}
if (err == MP_OKAY) {
sp_3072_from_mp(b, 48, base);
sp_3072_from_mp(e, 48, exp);
sp_3072_from_mp(m, 48, mod);
err = sp_3072_mod_exp_48(r, b, e, expBits, m, 0);
}
if (err == MP_OKAY) {
err = sp_3072_to_mp(r, res);
}
XMEMSET(e, 0, sizeof(e));
return err;
}
/* Perform the modular exponentiation for Diffie-Hellman.
*
* base Base.
* exp Array of bytes that is the exponent.
* expLen Length of data, in bytes, in exponent.
* mod Modulus.
* out Buffer to hold big-endian bytes of exponentiation result.
* Must be at least 384 bytes long.
* outLen Length, in bytes, of exponentiation result.
* returs 0 on success, MP_READ_E if there are too many bytes in an array
* and MEMORY_E if memory allocation fails.
*/
int sp_DhExp_3072(mp_int* base, const byte* exp, word32 expLen,
mp_int* mod, byte* out, word32* outLen)
{
int err = MP_OKAY;
sp_digit b[96], e[48], m[48];
sp_digit* r = b;
word32 i;
if (mp_count_bits(base) > 3072 || expLen > 384 ||
mp_count_bits(mod) != 3072) {
err = MP_READ_E;
}
if (err == MP_OKAY) {
sp_3072_from_mp(b, 48, base);
sp_3072_from_bin(e, 48, exp, expLen);
sp_3072_from_mp(m, 48, mod);
err = sp_3072_mod_exp_48(r, b, e, expLen * 8, m, 0);
}
if (err == MP_OKAY) {
sp_3072_to_bin(r, out);
*outLen = 384;
for (i=0; i<384 && out[i] == 0; i++) {
}
*outLen -= i;
XMEMMOVE(out, out + i, *outLen);
}
XMEMSET(e, 0, sizeof(e));
return err;
}
#endif /* WOLFSSL_HAVE_SP_DH */
#endif /* WOLFSSL_SP_NO_3072 */
#endif /* WOLFSSL_HAVE_SP_RSA || WOLFSSL_HAVE_SP_DH */
#ifdef WOLFSSL_HAVE_SP_ECC
#ifndef WOLFSSL_SP_NO_256
/* Point structure to use. */
typedef struct sp_point {
sp_digit x[2 * 4];
sp_digit y[2 * 4];
sp_digit z[2 * 4];
int infinity;
} sp_point;
/* The modulus (prime) of the curve P256. */
static sp_digit p256_mod[4] = {
0xffffffffffffffffl,0x00000000ffffffffl,0x0000000000000000l,
0xffffffff00000001l
};
/* The Montogmery normalizer for modulus of the curve P256. */
static sp_digit p256_norm_mod[4] = {
0x0000000000000001l,0xffffffff00000000l,0xffffffffffffffffl,
0x00000000fffffffel
};
/* The Montogmery multiplier for modulus of the curve P256. */
static sp_digit p256_mp_mod = 0x0000000000000001;
#if defined(WOLFSSL_VALIDATE_ECC_KEYGEN) || defined(HAVE_ECC_SIGN) || \
defined(HAVE_ECC_VERIFY)
/* The order of the curve P256. */
static sp_digit p256_order[4] = {
0xf3b9cac2fc632551l,0xbce6faada7179e84l,0xffffffffffffffffl,
0xffffffff00000000l
};
#endif
/* The order of the curve P256 minus 2. */
static sp_digit p256_order2[4] = {
0xf3b9cac2fc63254fl,0xbce6faada7179e84l,0xffffffffffffffffl,
0xffffffff00000000l
};
#if defined(HAVE_ECC_SIGN) || defined(HAVE_ECC_VERIFY)
/* The Montogmery normalizer for order of the curve P256. */
static sp_digit p256_norm_order[4] = {
0x0c46353d039cdaafl,0x4319055258e8617bl,0x0000000000000000l,
0x00000000ffffffffl
};
#endif
#if defined(HAVE_ECC_SIGN) || defined(HAVE_ECC_VERIFY)
/* The Montogmery multiplier for order of the curve P256. */
static sp_digit p256_mp_order = 0xccd1c8aaee00bc4fl;
#endif
#ifdef WOLFSSL_SP_SMALL
/* The base point of curve P256. */
static sp_point p256_base = {
/* X ordinate */
{
0xf4a13945d898c296l,0x77037d812deb33a0l,0xf8bce6e563a440f2l,
0x6b17d1f2e12c4247l
},
/* Y ordinate */
{
0xcbb6406837bf51f5l,0x2bce33576b315ecel,0x8ee7eb4a7c0f9e16l,
0x4fe342e2fe1a7f9bl
},
/* Z ordinate */
{
0x0000000000000001l,0x0000000000000000l,0x0000000000000000l,
0x0000000000000000l
},
/* infinity */
0
};
#endif /* WOLFSSL_SP_SMALL */
#if defined(HAVE_ECC_CHECK_KEY) || defined(HAVE_COMP_KEY)
static sp_digit p256_b[4] = {
0x3bce3c3e27d2604bl,0x651d06b0cc53b0f6l,0xb3ebbd55769886bcl,
0x5ac635d8aa3a93e7l
};
#endif
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
/* Allocate memory for point and return error. */
#define sp_ecc_point_new(heap, sp, p) \
((p = XMALLOC(sizeof(sp_point), heap, DYNAMIC_TYPE_ECC)) == NULL) ? \
MEMORY_E : MP_OKAY
#else
/* Set pointer to data and return no error. */
#define sp_ecc_point_new(heap, sp, p) ((p = &sp) == NULL) ? MEMORY_E : MP_OKAY
#endif
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
/* If valid pointer then clear point data if requested and free data. */
#define sp_ecc_point_free(p, clear, heap) \
do { \
if (p != NULL) { \
if (clear) \
XMEMSET(p, 0, sizeof(*p)); \
XFREE(p, heap, DYNAMIC_TYPE_ECC); \
} \
} \
while (0)
#else
/* Clear point data if requested. */
#define sp_ecc_point_free(p, clear, heap) \
do { \
if (clear) \
XMEMSET(p, 0, sizeof(*p)); \
} \
while (0)
#endif
/* Multiply a number by Montogmery normalizer mod modulus (prime).
*
* r The resulting Montgomery form number.
* a The number to convert.
* m The modulus (prime).
*/
static int sp_256_mod_mul_norm_4(sp_digit* r, sp_digit* a, sp_digit* m)
{
int64_t t[8];
int64_t a32[8];
int64_t o;
(void)m;
a32[0] = a[0] & 0xffffffff;
a32[1] = a[0] >> 32;
a32[2] = a[1] & 0xffffffff;
a32[3] = a[1] >> 32;
a32[4] = a[2] & 0xffffffff;
a32[5] = a[2] >> 32;
a32[6] = a[3] & 0xffffffff;
a32[7] = a[3] >> 32;
/* 1 1 0 -1 -1 -1 -1 0 */
t[0] = 0 + a32[0] + a32[1] - a32[3] - a32[4] - a32[5] - a32[6];
/* 0 1 1 0 -1 -1 -1 -1 */
t[1] = 0 + a32[1] + a32[2] - a32[4] - a32[5] - a32[6] - a32[7];
/* 0 0 1 1 0 -1 -1 -1 */
t[2] = 0 + a32[2] + a32[3] - a32[5] - a32[6] - a32[7];
/* -1 -1 0 2 2 1 0 -1 */
t[3] = 0 - a32[0] - a32[1] + 2 * a32[3] + 2 * a32[4] + a32[5] - a32[7];
/* 0 -1 -1 0 2 2 1 0 */
t[4] = 0 - a32[1] - a32[2] + 2 * a32[4] + 2 * a32[5] + a32[6];
/* 0 0 -1 -1 0 2 2 1 */
t[5] = 0 - a32[2] - a32[3] + 2 * a32[5] + 2 * a32[6] + a32[7];
/* -1 -1 0 0 0 1 3 2 */
t[6] = 0 - a32[0] - a32[1] + a32[5] + 3 * a32[6] + 2 * a32[7];
/* 1 0 -1 -1 -1 -1 0 3 */
t[7] = 0 + a32[0] - a32[2] - a32[3] - a32[4] - a32[5] + 3 * a32[7];
t[1] += t[0] >> 32; t[0] &= 0xffffffff;
t[2] += t[1] >> 32; t[1] &= 0xffffffff;
t[3] += t[2] >> 32; t[2] &= 0xffffffff;
t[4] += t[3] >> 32; t[3] &= 0xffffffff;
t[5] += t[4] >> 32; t[4] &= 0xffffffff;
t[6] += t[5] >> 32; t[5] &= 0xffffffff;
t[7] += t[6] >> 32; t[6] &= 0xffffffff;
o = t[7] >> 32; t[7] &= 0xffffffff;
t[0] += o;
t[3] -= o;
t[6] -= o;
t[7] += o;
t[1] += t[0] >> 32; t[0] &= 0xffffffff;
t[2] += t[1] >> 32; t[1] &= 0xffffffff;
t[3] += t[2] >> 32; t[2] &= 0xffffffff;
t[4] += t[3] >> 32; t[3] &= 0xffffffff;
t[5] += t[4] >> 32; t[4] &= 0xffffffff;
t[6] += t[5] >> 32; t[5] &= 0xffffffff;
t[7] += t[6] >> 32; t[6] &= 0xffffffff;
r[0] = (t[1] << 32) | t[0];
r[1] = (t[3] << 32) | t[2];
r[2] = (t[5] << 32) | t[4];
r[3] = (t[7] << 32) | t[6];
return MP_OKAY;
}
/* Convert an mp_int to an array of sp_digit.
*
* r A single precision integer.
* a A multi-precision integer.
*/
static void sp_256_from_mp(sp_digit* r, int max, mp_int* a)
{
#if DIGIT_BIT == 64
int j;
XMEMCPY(r, a->dp, sizeof(sp_digit) * a->used);
for (j = a->used; j < max; j++)
r[j] = 0;
#elif DIGIT_BIT > 64
int i, j = 0, s = 0;
r[0] = 0;
for (i = 0; i < a->used && j < max; i++) {
r[j] |= a->dp[i] << s;
r[j] &= 0xffffffffffffffffl;
s = 64 - s;
if (j + 1 >= max)
break;
r[++j] = a->dp[i] >> s;
while (s + 64 <= DIGIT_BIT) {
s += 64;
r[j] &= 0xffffffffffffffffl;
if (j + 1 >= max)
break;
if (s < DIGIT_BIT)
r[++j] = a->dp[i] >> s;
else
r[++j] = 0;
}
s = DIGIT_BIT - s;
}
for (j++; j < max; j++)
r[j] = 0;
#else
int i, j = 0, s = 0;
r[0] = 0;
for (i = 0; i < a->used && j < max; i++) {
r[j] |= ((sp_digit)a->dp[i]) << s;
if (s + DIGIT_BIT >= 64) {
r[j] &= 0xffffffffffffffffl;
if (j + 1 >= max)
break;
s = 64 - s;
if (s == DIGIT_BIT) {
r[++j] = 0;
s = 0;
}
else {
r[++j] = a->dp[i] >> s;
s = DIGIT_BIT - s;
}
}
else
s += DIGIT_BIT;
}
for (j++; j < max; j++)
r[j] = 0;
#endif
}
/* Convert a point of type ecc_point to type sp_point.
*
* p Point of type sp_point (result).
* pm Point of type ecc_point.
*/
static void sp_256_point_from_ecc_point_4(sp_point* p, ecc_point* pm)
{
XMEMSET(p->x, 0, sizeof(p->x));
XMEMSET(p->y, 0, sizeof(p->y));
XMEMSET(p->z, 0, sizeof(p->z));
sp_256_from_mp(p->x, 4, pm->x);
sp_256_from_mp(p->y, 4, pm->y);
sp_256_from_mp(p->z, 4, pm->z);
p->infinity = 0;
}
/* Convert an array of sp_digit to an mp_int.
*
* a A single precision integer.
* r A multi-precision integer.
*/
static int sp_256_to_mp(sp_digit* a, mp_int* r)
{
int err;
err = mp_grow(r, (256 + DIGIT_BIT - 1) / DIGIT_BIT);
if (err == MP_OKAY) {
#if DIGIT_BIT == 64
XMEMCPY(r->dp, a, sizeof(sp_digit) * 4);
r->used = 4;
mp_clamp(r);
#elif DIGIT_BIT < 64
int i, j = 0, s = 0;
r->dp[0] = 0;
for (i = 0; i < 4; i++) {
r->dp[j] |= a[i] << s;
r->dp[j] &= (1l << DIGIT_BIT) - 1;
s = DIGIT_BIT - s;
r->dp[++j] = a[i] >> s;
while (s + DIGIT_BIT <= 64) {
s += DIGIT_BIT;
r->dp[j] &= (1l << DIGIT_BIT) - 1;
r->dp[++j] = a[i] >> s;
}
s = 64 - s;
}
r->used = (256 + DIGIT_BIT - 1) / DIGIT_BIT;
mp_clamp(r);
#else
int i, j = 0, s = 0;
r->dp[0] = 0;
for (i = 0; i < 4; i++) {
r->dp[j] |= ((mp_digit)a[i]) << s;
if (s + 64 >= DIGIT_BIT) {
#if DIGIT_BIT < 64
r->dp[j] &= (1l << DIGIT_BIT) - 1;
#endif
s = DIGIT_BIT - s;
r->dp[++j] = a[i] >> s;
s = 64 - s;
}
else
s += 64;
}
r->used = (256 + DIGIT_BIT - 1) / DIGIT_BIT;
mp_clamp(r);
#endif
}
return err;
}
/* Convert a point of type sp_point to type ecc_point.
*
* p Point of type sp_point.
* pm Point of type ecc_point (result).
* returns MEMORY_E when allocation of memory in ecc_point fails otherwise
* MP_OKAY.
*/
static int sp_256_point_to_ecc_point_4(sp_point* p, ecc_point* pm)
{
int err;
err = sp_256_to_mp(p->x, pm->x);
if (err == MP_OKAY)
err = sp_256_to_mp(p->y, pm->y);
if (err == MP_OKAY)
err = sp_256_to_mp(p->z, pm->z);
return err;
}
/* Conditionally copy a into r using the mask m.
* m is -1 to copy and 0 when not.
*
* r A single precision number to copy over.
* a A single precision number to copy.
* m Mask value to apply.
*/
static void sp_256_cond_copy_4(sp_digit* r, const sp_digit* a, const sp_digit m)
{
__asm__ __volatile__ (
"ldp x3, x4, [%[r], 0]\n\t"
"ldp x5, x6, [%[r], 16]\n\t"
"ldp x7, x8, [%[a], 0]\n\t"
"ldp x9, x10, [%[a], 16]\n\t"
"eor x7, x7, x3\n\t"
"eor x8, x8, x4\n\t"
"eor x9, x9, x5\n\t"
"eor x10, x10, x6\n\t"
"and x7, x7, %[m]\n\t"
"and x8, x8, %[m]\n\t"
"and x9, x9, %[m]\n\t"
"and x10, x10, %[m]\n\t"
"eor x3, x3, x7\n\t"
"eor x4, x4, x8\n\t"
"eor x5, x5, x9\n\t"
"eor x6, x6, x10\n\t"
"stp x3, x4, [%[r], 0]\n\t"
"stp x5, x6, [%[r], 16]\n\t"
:
: [r] "r" (r), [a] "r" (a), [m] "r" (m)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
}
/* Compare a with b in constant time.
*
* a A single precision integer.
* b A single precision integer.
* return -ve, 0 or +ve if a is less than, equal to or greater than b
* respectively.
*/
static int64_t sp_256_cmp_4(sp_digit* a, sp_digit* b)
{
sp_digit r = -1;
sp_digit one = 1;
#ifdef WOLFSSL_SP_SMALL
__asm__ __volatile__ (
"mov x3, -1\n\t"
"mov x6, 24\n\t"
"1:\n\t"
"ldr x4, [%[a], x6]\n\t"
"ldr x5, [%[b], x6]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"sub x6, x6, #8\n\t"
"b.cc 1b\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#else
__asm__ __volatile__ (
"mov x3, -1\n\t"
"ldr x4, [%[a], 24]\n\t"
"ldr x5, [%[b], 24]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x5, [%[b], 16]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 8]\n\t"
"ldr x5, [%[b], 8]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"ldr x4, [%[a], 0]\n\t"
"ldr x5, [%[b], 0]\n\t"
"and x4, x4, x3\n\t"
"and x5, x5, x3\n\t"
"subs x4, x4, x5\n\t"
"csel %[r], %[one], %[r], hi\n\t"
"csel %[r], x3, %[r], lo\n\t"
"csel x3, x3, xzr, eq\n\t"
"eor %[r], %[r], x3\n\t"
: [r] "+r" (r)
: [a] "r" (a), [b] "r" (b), [one] "r" (one)
: "x2", "x3", "x4", "x5", "x6"
);
#endif
return r;
}
/* Normalize the values in each word to 64.
*
* a Array of sp_digit to normalize.
*/
#define sp_256_norm_4(a)
/* Conditionally subtract b from a using the mask m.
* m is -1 to subtract and 0 when not copying.
*
* r A single precision number representing condition subtract result.
* a A single precision number to subtract from.
* b A single precision number to subtract.
* m Mask value to apply.
*/
static sp_digit sp_256_cond_sub_4(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit m)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldr x4, [%[a], 0]\n\t"
"ldr x6, [%[a], 8]\n\t"
"ldr x5, [%[b], 0]\n\t"
"ldr x7, [%[b], 8]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"subs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 0]\n\t"
"str x6, [%[r], 8]\n\t"
"ldr x4, [%[a], 16]\n\t"
"ldr x6, [%[a], 24]\n\t"
"ldr x5, [%[b], 16]\n\t"
"ldr x7, [%[b], 24]\n\t"
"and x5, x5, %[m]\n\t"
"and x7, x7, %[m]\n\t"
"sbcs x4, x4, x5\n\t"
"sbcs x6, x6, x7\n\t"
"str x4, [%[r], 16]\n\t"
"str x6, [%[r], 24]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x6", "x5", "x7", "x8"
);
return c;
}
/* Sub b from a into r. (r = a - b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_256_sub_4(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x3, x4, [%[a], 0]\n\t"
"ldp x5, x6, [%[a], 16]\n\t"
"ldp x7, x8, [%[b], 0]\n\t"
"ldp x9, x10, [%[b], 16]\n\t"
"subs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"sbcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 0]\n\t"
"stp x5, x6, [%[r], 16]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
/* Reduce the number back to 256 bits using Montgomery reduction.
*
* a A single precision number to reduce in place.
* m The single precision number representing the modulus.
* mp The digit representing the negative inverse of m mod 2^n.
*/
SP_NOINLINE static void sp_256_mont_reduce_4(sp_digit* a, sp_digit* m,
sp_digit mp)
{
__asm__ __volatile__ (
"# i = 0\n\t"
"mov x9, xzr\n\t"
"mov x8, xzr\n\t"
"mov x6, %[a]\n\t"
"\n1:\n\t"
"# mu = a[i] * mp\n\t"
"ldr x5, [x6, 0]\n\t"
"mov x7, x5\n\t"
"mul x5, %[mp], x5\n\t"
"# a[i+0] += m[0] * mu\n\t"
"ldr x4, [%[m], 0]\n\t"
"ldr x11, [%[m], 8]\n\t"
"mul x3, x4, x5\n\t"
"umulh x10, x4, x5\n\t"
"adds x7, x7, x3\n\t"
"str x7, [x6, 0]\n\t"
"adc x10, x10, xzr\n\t"
"# a[i+1] += m[1] * mu\n\t"
"mul x3, x11, x5\n\t"
"umulh x12, x11, x5\n\t"
"ldr x11, [%[m], 16]\n\t"
"ldr x7, [x6, 8]\n\t"
"adds x3, x3, x10\n\t"
"adc x12, x12, xzr\n\t"
"adds x7, x7, x3\n\t"
"str x7, [x6, 8]\n\t"
"adc x12, x12, xzr\n\t"
"# a[i+2] += m[2] * mu\n\t"
"mul x3, x11, x5\n\t"
"umulh x10, x11, x5\n\t"
"ldr x11, [%[m], 24]\n\t"
"ldr x7, [x6, 16]\n\t"
"adds x3, x3, x12\n\t"
"adc x10, x10, xzr\n\t"
"adds x7, x7, x3\n\t"
"str x7, [x6, 16]\n\t"
"adc x10, x10, xzr\n\t"
"# a[i+3] += m[3] * mu\n\t"
"mul x3, x11, x5\n\t"
"umulh x4, x11, x5\n\t"
"ldr x7, [x6, 24]\n\t"
"ldr x12, [x6, 32]\n\t"
"adds x3, x3, x10\n\t"
"adcs x4, x4, x9\n\t"
"cset x9, cs\n\t"
"adds x7, x7, x3\n\t"
"str x7, [x6, 24]\n\t"
"adcs x12, x12, x4\n\t"
"str x12, [x6, 32]\n\t"
"adc x9, x9, xzr\n\t"
"# i += 1\n\t"
"add x6, x6, 8\n\t"
"add x8, x8, 8\n\t"
"cmp x8, 32\n\t"
"b.lt 1b\n\t"
"ldr x5, [%[a], 32]\n\t"
"ldr x6, [%[a], 40]\n\t"
"ldr x7, [%[a], 48]\n\t"
"ldr x8, [%[a], 56]\n\t"
"sub x3, xzr, x9\n\t"
"ldr x9, [%[m], 0]\n\t"
"ldr x10, [%[m], 8]\n\t"
"ldr x11, [%[m], 16]\n\t"
"ldr x12, [%[m], 24]\n\t"
"and x9, x9, x3\n\t"
"and x10, x10, x3\n\t"
"and x11, x11, x3\n\t"
"and x12, x12, x3\n\t"
"subs x5, x5, x9\n\t"
"sbcs x6, x6, x10\n\t"
"sbcs x7, x7, x11\n\t"
"sbc x8, x8, x12\n\t"
"str x5, [%[a], 0]\n\t"
"str x6, [%[a], 8]\n\t"
"str x7, [%[a], 16]\n\t"
"str x8, [%[a], 24]\n\t"
:
: [a] "r" (a), [m] "r" (m), [mp] "r" (mp)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11",
"x12"
);
}
/* Multiply two Montogmery form numbers mod the modulus (prime).
* (r = a * b mod m)
*
* r Result of multiplication.
* a First number to multiply in Montogmery form.
* b Second number to multiply in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
SP_NOINLINE static void sp_256_mont_mul_4(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit* m, sp_digit mp)
{
(void)mp;
__asm__ __volatile__ (
"ldr x18, [%[a], 0]\n\t"
"ldr x19, [%[a], 8]\n\t"
"ldr x20, [%[a], 16]\n\t"
"ldr x21, [%[a], 24]\n\t"
"ldr x22, [%[b], 0]\n\t"
"ldr x23, [%[b], 8]\n\t"
"ldr x24, [%[b], 16]\n\t"
"ldr x25, [%[b], 24]\n\t"
"# A[0] * B[0]\n\t"
"mul x10, x18, x22\n\t"
"umulh x11, x18, x22\n\t"
"# A[0] * B[1]\n\t"
"mul x5, x18, x23\n\t"
"umulh x6, x18, x23\n\t"
"adds x11, x11, x5\n\t"
"adc x12, xzr, x6\n\t"
"# A[1] * B[0]\n\t"
"mul x5, x19, x22\n\t"
"umulh x6, x19, x22\n\t"
"adds x11, x11, x5\n\t"
"adcs x12, x12, x6\n\t"
"adc x13, xzr, xzr\n\t"
"# A[0] * B[2]\n\t"
"mul x5, x18, x24\n\t"
"umulh x6, x18, x24\n\t"
"adds x12, x12, x5\n\t"
"adc x13, x13, x6\n\t"
"# A[1] * B[1]\n\t"
"mul x5, x19, x23\n\t"
"umulh x6, x19, x23\n\t"
"adds x12, x12, x5\n\t"
"adcs x13, x13, x6\n\t"
"adc x14, xzr, xzr\n\t"
"# A[2] * B[0]\n\t"
"mul x5, x20, x22\n\t"
"umulh x6, x20, x22\n\t"
"adds x12, x12, x5\n\t"
"adcs x13, x13, x6\n\t"
"adc x14, x14, xzr\n\t"
"# A[0] * B[3]\n\t"
"mul x5, x18, x25\n\t"
"umulh x6, x18, x25\n\t"
"adds x13, x13, x5\n\t"
"adcs x14, x14, x6\n\t"
"adc x15, xzr, xzr\n\t"
"# A[1] * B[2]\n\t"
"mul x5, x19, x24\n\t"
"umulh x6, x19, x24\n\t"
"adds x13, x13, x5\n\t"
"adcs x14, x14, x6\n\t"
"adc x15, x15, xzr\n\t"
"# A[2] * B[1]\n\t"
"mul x5, x20, x23\n\t"
"umulh x6, x20, x23\n\t"
"adds x13, x13, x5\n\t"
"adcs x14, x14, x6\n\t"
"adc x15, x15, xzr\n\t"
"# A[3] * B[0]\n\t"
"mul x5, x21, x22\n\t"
"umulh x6, x21, x22\n\t"
"adds x13, x13, x5\n\t"
"adcs x14, x14, x6\n\t"
"adc x15, x15, xzr\n\t"
"# A[1] * B[3]\n\t"
"mul x5, x19, x25\n\t"
"umulh x6, x19, x25\n\t"
"adds x14, x14, x5\n\t"
"adcs x15, x15, x6\n\t"
"adc x16, xzr, xzr\n\t"
"# A[2] * B[2]\n\t"
"mul x5, x20, x24\n\t"
"umulh x6, x20, x24\n\t"
"adds x14, x14, x5\n\t"
"adcs x15, x15, x6\n\t"
"adc x16, x16, xzr\n\t"
"# A[3] * B[1]\n\t"
"mul x5, x21, x23\n\t"
"umulh x6, x21, x23\n\t"
"adds x14, x14, x5\n\t"
"adcs x15, x15, x6\n\t"
"adc x16, x16, xzr\n\t"
"# A[2] * B[3]\n\t"
"mul x5, x20, x25\n\t"
"umulh x6, x20, x25\n\t"
"adds x15, x15, x5\n\t"
"adcs x16, x16, x6\n\t"
"adc x17, xzr, xzr\n\t"
"# A[3] * B[2]\n\t"
"mul x5, x21, x24\n\t"
"umulh x6, x21, x24\n\t"
"adds x15, x15, x5\n\t"
"adcs x16, x16, x6\n\t"
"adc x17, x17, xzr\n\t"
"# A[3] * B[3]\n\t"
"mul x5, x21, x25\n\t"
"umulh x6, x21, x25\n\t"
"adds x16, x16, x5\n\t"
"adc x17, x17, x6\n\t"
"# Start Reduction\n\t"
"mov x5, x10\n\t"
"mov x6, x11\n\t"
"mov x7, x12\n\t"
"mov x8, x13\n\t"
"# mu = a[0]-a[3] + a[0]-a[2] << 32 << 64 + (a[0] * 2) << 192\n\t"
"# - a[0] << 32 << 192\n\t"
"# + (a[0] * 2) << 192\n\t"
"add x8, x8, x10\n\t"
"add x8, x8, x10\n\t"
"# a[0]-a[2] << 32\n\t"
"lsl x10, x10, 32\n\t"
"lsr x18, x5, 32\n\t"
"lsl x11, x6, 32\n\t"
"lsr x19, x6, 32\n\t"
"lsl x12, x7, 32\n\t"
"eor x11, x11, x18\n\t"
"eor x12, x12, x19\n\t"
"# - a[0] << 32 << 192\n\t"
"sub x8, x8, x10\n\t"
"# + a[0]-a[2] << 32 << 64\n\t"
"adds x6, x6, x10\n\t"
"adcs x7, x7, x11\n\t"
"adc x8, x8, x12\n\t"
"# a += (mu << 256) - (mu << 224) + (mu << 192) + (mu << 96) - mu\n\t"
"# a += mu << 256\n\t"
"adds x14, x14, x5\n\t"
"adcs x15, x15, x6\n\t"
"adcs x16, x16, x7\n\t"
"adcs x17, x17, x8\n\t"
"csetm x10, cs\n\t"
"# a += mu << 192\n\t"
"adds x13, x13, x5\n\t"
"adcs x14, x14, x6\n\t"
"adcs x15, x15, x7\n\t"
"adcs x16, x16, x8\n\t"
"adcs x17, x17, xzr\n\t"
"csetm x20, cs\n\t"
"add x10, x10, x20\n\t"
"# mu <<= 32\n\t"
"lsr x9, x8, 32\n\t"
"lsr x18, x5, 32\n\t"
"lsl x5, x5, 32\n\t"
"lsr x19, x6, 32\n\t"
"lsl x6, x6, 32\n\t"
"lsr x20, x7, 32\n\t"
"lsl x7, x7, 32\n\t"
"lsl x8, x8, 32\n\t"
"eor x6, x6, x18\n\t"
"eor x7, x7, x19\n\t"
"eor x8, x8, x20\n\t"
"# a += (mu << 32) << 64\n\t"
"adds x13, x13, x7\n\t"
"adcs x14, x14, x8\n\t"
"adcs x15, x15, x9\n\t"
"adcs x16, x16, xzr\n\t"
"adcs x17, x17, xzr\n\t"
"csetm x20, cs\n\t"
"add x10, x10, x20\n\t"
"# a -= (mu << 32) << 192\n\t"
"subs x13, x13, x5\n\t"
"mov x18, 0xffffffff\n\t"
"sbcs x14, x14, x6\n\t"
"mov x19, 0xffffffff00000001\n\t"
"sbcs x15, x15, x7\n\t"
"sbcs x16, x16, x8\n\t"
"sbcs x17, x17, x9\n\t"
"cset x20, cc\n\t"
"add x10, x10, x20\n\t"
"# mask m and sub from result if overflow\n\t"
"# m[0] = -1 & mask = mask\n\t"
"and x18, x18, x10\n\t"
"# m[2] = 0 & mask = 0\n\t"
"and x19, x19, x10\n\t"
"subs x14, x14, x10\n\t"
"sbcs x15, x15, x18\n\t"
"sbcs x16, x16, xzr\n\t"
"sbc x17, x17, x19\n\t"
"str x14, [%[r], 0]\n\t"
"str x15, [%[r], 8]\n\t"
"str x16, [%[r], 16]\n\t"
"str x17, [%[r], 24]\n\t"
: [m] "+r" (m), [a] "+r" (a), [b] "+r" (b)
: [r] "r" (r)
: "memory", "x5", "x6", "x7", "x8", "x9",
"x18", "x19", "x20", "x21",
"x22", "x23", "x24", "x25",
"x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17"
);
}
/* Square the Montgomery form number mod the modulus (prime). (r = a * a mod m)
*
* r Result of squaring.
* a Number to square in Montogmery form.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
SP_NOINLINE static void sp_256_mont_sqr_4(sp_digit* r, sp_digit* a, sp_digit* m,
sp_digit mp)
{
__asm__ __volatile__ (
"ldr x18, [%[a], 0]\n\t"
"ldr x19, [%[a], 8]\n\t"
"ldr x20, [%[a], 16]\n\t"
"ldr x21, [%[a], 24]\n\t"
"# A[0] * A[1]\n\t"
"mul x11, x18, x19\n\t"
"umulh x12, x18, x19\n\t"
"# A[0] * A[2]\n\t"
"mul x5, x18, x20\n\t"
"umulh x6, x18, x20\n\t"
"adds x12, x12, x5\n\t"
"adc x13, xzr, x6\n\t"
"# A[0] * A[3]\n\t"
"mul x5, x18, x21\n\t"
"umulh x6, x18, x21\n\t"
"adds x13, x13, x5\n\t"
"adc x14, xzr, x6\n\t"
"# A[1] * A[2]\n\t"
"mul x5, x19, x20\n\t"
"umulh x6, x19, x20\n\t"
"adds x13, x13, x5\n\t"
"adcs x14, x14, x6\n\t"
"adc x15, xzr, xzr\n\t"
"# A[1] * A[3]\n\t"
"mul x5, x19, x21\n\t"
"umulh x6, x19, x21\n\t"
"adds x14, x14, x5\n\t"
"adc x15, x15, x6\n\t"
"# A[2] * A[3]\n\t"
"mul x5, x20, x21\n\t"
"umulh x6, x20, x21\n\t"
"adds x15, x15, x5\n\t"
"adc x16, xzr, x6\n\t"
"# Double\n\t"
"adds x11, x11, x11\n\t"
"adcs x12, x12, x12\n\t"
"adcs x13, x13, x13\n\t"
"adcs x14, x14, x14\n\t"
"adcs x15, x15, x15\n\t"
"adcs x16, x16, x16\n\t"
"cset x17, cs\n\t"
"# A[0] * A[0]\n\t"
"mul x10, x18, x18\n\t"
"umulh x4, x18, x18\n\t"
"# A[1] * A[1]\n\t"
"mul x5, x19, x19\n\t"
"umulh x6, x19, x19\n\t"
"# A[2] * A[2]\n\t"
"mul x7, x20, x20\n\t"
"umulh x8, x20, x20\n\t"
"# A[3] * A[3]\n\t"
"mul x9, x21, x21\n\t"
"umulh x18, x21, x21\n\t"
"adds x11, x11, x4\n\t"
"adcs x12, x12, x5\n\t"
"adcs x13, x13, x6\n\t"
"adcs x14, x14, x7\n\t"
"adcs x15, x15, x8\n\t"
"adcs x16, x16, x9\n\t"
"adc x17, x17, x18\n\t"
"# Start Reduction\n\t"
"mov x5, x10\n\t"
"mov x6, x11\n\t"
"mov x7, x12\n\t"
"mov x8, x13\n\t"
"# mu = a[0]-a[3] + a[0]-a[2] << 32 << 64 + (a[0] * 2) << 192\n\t"
"# - a[0] << 32 << 192\n\t"
"# + (a[0] * 2) << 192\n\t"
"add x8, x8, x10\n\t"
"add x8, x8, x10\n\t"
"# a[0]-a[2] << 32\n\t"
"lsl x10, x10, 32\n\t"
"lsr x18, x5, 32\n\t"
"lsl x11, x6, 32\n\t"
"lsr x19, x6, 32\n\t"
"lsl x12, x7, 32\n\t"
"eor x11, x11, x18\n\t"
"eor x12, x12, x19\n\t"
"# - a[0] << 32 << 192\n\t"
"sub x8, x8, x10\n\t"
"# + a[0]-a[2] << 32 << 64\n\t"
"adds x6, x6, x10\n\t"
"adcs x7, x7, x11\n\t"
"adc x8, x8, x12\n\t"
"# a += (mu << 256) - (mu << 224) + (mu << 192) + (mu << 96) - mu\n\t"
"# a += mu << 256\n\t"
"adds x14, x14, x5\n\t"
"adcs x15, x15, x6\n\t"
"adcs x16, x16, x7\n\t"
"adcs x17, x17, x8\n\t"
"csetm x10, cs\n\t"
"# a += mu << 192\n\t"
"adds x13, x13, x5\n\t"
"adcs x14, x14, x6\n\t"
"adcs x15, x15, x7\n\t"
"adcs x16, x16, x8\n\t"
"adcs x17, x17, xzr\n\t"
"csetm x20, cs\n\t"
"add x10, x10, x20\n\t"
"# mu <<= 32\n\t"
"lsr x9, x8, 32\n\t"
"lsr x18, x5, 32\n\t"
"lsl x5, x5, 32\n\t"
"lsr x19, x6, 32\n\t"
"lsl x6, x6, 32\n\t"
"lsr x20, x7, 32\n\t"
"lsl x7, x7, 32\n\t"
"lsl x8, x8, 32\n\t"
"eor x6, x6, x18\n\t"
"eor x7, x7, x19\n\t"
"eor x8, x8, x20\n\t"
"# a += (mu << 32) << 64\n\t"
"adds x13, x13, x7\n\t"
"adcs x14, x14, x8\n\t"
"adcs x15, x15, x9\n\t"
"adcs x16, x16, xzr\n\t"
"adcs x17, x17, xzr\n\t"
"csetm x20, cs\n\t"
"add x10, x10, x20\n\t"
"# a -= (mu << 32) << 192\n\t"
"subs x13, x13, x5\n\t"
"mov x18, 0xffffffff\n\t"
"sbcs x14, x14, x6\n\t"
"mov x19, 0xffffffff00000001\n\t"
"sbcs x15, x15, x7\n\t"
"sbcs x16, x16, x8\n\t"
"sbcs x17, x17, x9\n\t"
"cset x20, cc\n\t"
"add x10, x10, x20\n\t"
"# mask m and sub from result if overflow\n\t"
"# m[0] = -1 & mask = mask\n\t"
"and x18, x18, x10\n\t"
"# m[2] = 0 & mask = 0\n\t"
"and x19, x19, x10\n\t"
"subs x14, x14, x10\n\t"
"sbcs x15, x15, x18\n\t"
"sbcs x16, x16, xzr\n\t"
"sbc x17, x17, x19\n\t"
"str x14, [%[r], 0]\n\t"
"str x15, [%[r], 8]\n\t"
"str x16, [%[r], 16]\n\t"
"str x17, [%[r], 24]\n\t"
: [m] "+r" (m), [a] "+r" (a), [mp] "+r" (mp)
: [r] "r" (r)
: "memory", "x4", "x5", "x6", "x7", "x8", "x9",
"x18", "x19", "x20", "x21",
"x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17"
);
}
#ifndef WOLFSSL_SP_SMALL
/* Square the Montgomery form number a number of times. (r = a ^ n mod m)
*
* r Result of squaring.
* a Number to square in Montogmery form.
* n Number of times to square.
* m Modulus (prime).
* mp Montogmery mulitplier.
*/
static void sp_256_mont_sqr_n_4(sp_digit* r, sp_digit* a, int n,
sp_digit* m, sp_digit mp)
{
sp_256_mont_sqr_4(r, a, m, mp);
for (; n > 1; n--)
sp_256_mont_sqr_4(r, r, m, mp);
}
#else
/* Mod-2 for the P256 curve. */
static const uint64_t p256_mod_2[4] = {
0xfffffffffffffffd,0x00000000ffffffff,0x0000000000000000,
0xffffffff00000001
};
#endif /* !WOLFSSL_SP_SMALL */
/* Invert the number, in Montgomery form, modulo the modulus (prime) of the
* P256 curve. (r = 1 / a mod m)
*
* r Inverse result.
* a Number to invert.
* td Temporary data.
*/
static void sp_256_mont_inv_4(sp_digit* r, sp_digit* a, sp_digit* td)
{
#ifdef WOLFSSL_SP_SMALL
sp_digit* t = td;
int i;
XMEMCPY(t, a, sizeof(sp_digit) * 4);
for (i=254; i>=0; i--) {
sp_256_mont_sqr_4(t, t, p256_mod, p256_mp_mod);
if (p256_mod_2[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_4(t, t, a, p256_mod, p256_mp_mod);
}
XMEMCPY(r, t, sizeof(sp_digit) * 4);
#else
sp_digit* t = td;
sp_digit* t2 = td + 2 * 4;
sp_digit* t3 = td + 4 * 4;
/* t = a^2 */
sp_256_mont_sqr_4(t, a, p256_mod, p256_mp_mod);
/* t = a^3 = t * a */
sp_256_mont_mul_4(t, t, a, p256_mod, p256_mp_mod);
/* t2= a^c = t ^ 2 ^ 2 */
sp_256_mont_sqr_n_4(t2, t, 2, p256_mod, p256_mp_mod);
/* t3= a^d = t2 * a */
sp_256_mont_mul_4(t3, t2, a, p256_mod, p256_mp_mod);
/* t = a^f = t2 * t */
sp_256_mont_mul_4(t, t2, t, p256_mod, p256_mp_mod);
/* t2= a^f0 = t ^ 2 ^ 4 */
sp_256_mont_sqr_n_4(t2, t, 4, p256_mod, p256_mp_mod);
/* t3= a^fd = t2 * t3 */
sp_256_mont_mul_4(t3, t2, t3, p256_mod, p256_mp_mod);
/* t = a^ff = t2 * t */
sp_256_mont_mul_4(t, t2, t, p256_mod, p256_mp_mod);
/* t2= a^ff00 = t ^ 2 ^ 8 */
sp_256_mont_sqr_n_4(t2, t, 8, p256_mod, p256_mp_mod);
/* t3= a^fffd = t2 * t3 */
sp_256_mont_mul_4(t3, t2, t3, p256_mod, p256_mp_mod);
/* t = a^ffff = t2 * t */
sp_256_mont_mul_4(t, t2, t, p256_mod, p256_mp_mod);
/* t2= a^ffff0000 = t ^ 2 ^ 16 */
sp_256_mont_sqr_n_4(t2, t, 16, p256_mod, p256_mp_mod);
/* t3= a^fffffffd = t2 * t3 */
sp_256_mont_mul_4(t3, t2, t3, p256_mod, p256_mp_mod);
/* t = a^ffffffff = t2 * t */
sp_256_mont_mul_4(t, t2, t, p256_mod, p256_mp_mod);
/* t = a^ffffffff00000000 = t ^ 2 ^ 32 */
sp_256_mont_sqr_n_4(t2, t, 32, p256_mod, p256_mp_mod);
/* t2= a^ffffffffffffffff = t2 * t */
sp_256_mont_mul_4(t, t2, t, p256_mod, p256_mp_mod);
/* t2= a^ffffffff00000001 = t2 * a */
sp_256_mont_mul_4(t2, t2, a, p256_mod, p256_mp_mod);
/* t2= a^ffffffff000000010000000000000000000000000000000000000000
* = t2 ^ 2 ^ 160 */
sp_256_mont_sqr_n_4(t2, t2, 160, p256_mod, p256_mp_mod);
/* t2= a^ffffffff00000001000000000000000000000000ffffffffffffffff
* = t2 * t */
sp_256_mont_mul_4(t2, t2, t, p256_mod, p256_mp_mod);
/* t2= a^ffffffff00000001000000000000000000000000ffffffffffffffff00000000
* = t2 ^ 2 ^ 32 */
sp_256_mont_sqr_n_4(t2, t2, 32, p256_mod, p256_mp_mod);
/* r = a^ffffffff00000001000000000000000000000000fffffffffffffffffffffffd
* = t2 * t3 */
sp_256_mont_mul_4(r, t2, t3, p256_mod, p256_mp_mod);
#endif /* WOLFSSL_SP_SMALL */
}
/* Map the Montgomery form projective co-ordinate point to an affine point.
*
* r Resulting affine co-ordinate point.
* p Montgomery form projective co-ordinate point.
* t Temporary ordinate data.
*/
static void sp_256_map_4(sp_point* r, sp_point* p, sp_digit* t)
{
sp_digit* t1 = t;
sp_digit* t2 = t + 2*4;
int64_t n;
sp_256_mont_inv_4(t1, p->z, t + 2*4);
sp_256_mont_sqr_4(t2, t1, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t1, t2, t1, p256_mod, p256_mp_mod);
/* x /= z^2 */
sp_256_mont_mul_4(r->x, p->x, t2, p256_mod, p256_mp_mod);
XMEMSET(r->x + 4, 0, sizeof(r->x) / 2);
sp_256_mont_reduce_4(r->x, p256_mod, p256_mp_mod);
/* Reduce x to less than modulus */
n = sp_256_cmp_4(r->x, p256_mod);
sp_256_cond_sub_4(r->x, r->x, p256_mod, 0 - (n >= 0));
sp_256_norm_4(r->x);
/* y /= z^3 */
sp_256_mont_mul_4(r->y, p->y, t1, p256_mod, p256_mp_mod);
XMEMSET(r->y + 4, 0, sizeof(r->y) / 2);
sp_256_mont_reduce_4(r->y, p256_mod, p256_mp_mod);
/* Reduce y to less than modulus */
n = sp_256_cmp_4(r->y, p256_mod);
sp_256_cond_sub_4(r->y, r->y, p256_mod, 0 - (n >= 0));
sp_256_norm_4(r->y);
XMEMSET(r->z, 0, sizeof(r->z));
r->z[0] = 1;
}
/* Add two Montgomery form numbers (r = a + b % m).
*
* r Result of addition.
* a First number to add in Montogmery form.
* b Second number to add in Montogmery form.
* m Modulus (prime).
*/
static void sp_256_mont_add_4(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit* m)
{
__asm__ __volatile__ (
"ldr x4, [%[a],0]\n\t"
"ldr x5, [%[a],8]\n\t"
"ldr x6, [%[a],16]\n\t"
"ldr x7, [%[a],24]\n\t"
"ldr x8, [%[b],0]\n\t"
"ldr x9, [%[b],8]\n\t"
"ldr x10, [%[b],16]\n\t"
"ldr x11, [%[b],24]\n\t"
"adds x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"mov x12, 0xffffffff\n\t"
"adcs x6, x6, x10\n\t"
"adcs x7, x7, x11\n\t"
"mov x13, 0xffffffff00000001\n\t"
"csetm x14, cs\n\t"
"and x12, x12, x14\n\t"
"and x13, x13, x14\n\t"
"subs x4, x4, x14\n\t"
"sbcs x5, x5, x12\n\t"
"str x4, [%[r],0]\n\t"
"sbcs x6, x6, xzr\n\t"
"str x5, [%[r],8]\n\t"
"sbc x7, x7, x13\n\t"
"str x6, [%[r],16]\n\t"
"str x7, [%[r],24]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11", "x12", "x13", "x14"
);
}
/* Double a Montgomery form number (r = a + a % m).
*
* r Result of doubling.
* a Number to double in Montogmery form.
* m Modulus (prime).
*/
static void sp_256_mont_dbl_4(sp_digit* r, sp_digit* a, sp_digit* m)
{
__asm__ __volatile__ (
"ldr x3, [%[a]]\n\t"
"ldr x4, [%[a],8]\n\t"
"ldr x5, [%[a],16]\n\t"
"ldr x6, [%[a],24]\n\t"
"adds x3, x3, x3\n\t"
"adcs x4, x4, x4\n\t"
"mov x7, 0xffffffff\n\t"
"adcs x5, x5, x5\n\t"
"mov x8, 0xffffffff00000001\n\t"
"adcs x6, x6, x6\n\t"
"csetm x9, cs\n\t"
"and x7, x7, x9\n\t"
"and x8, x8, x9\n\t"
"subs x3, x3, x9\n\t"
"sbcs x4, x4, x7\n\t"
"str x3, [%[r],0]\n\t"
"sbcs x5, x5, xzr\n\t"
"str x4, [%[r],8]\n\t"
"sbc x6, x6, x8\n\t"
"str x5, [%[r],16]\n\t"
"str x6, [%[r],24]\n\t"
:
: [r] "r" (r), [a] "r" (a)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9"
);
(void)m;
}
/* Triple a Montgomery form number (r = a + a + a % m).
*
* r Result of Tripling.
* a Number to triple in Montogmery form.
* m Modulus (prime).
*/
static void sp_256_mont_tpl_4(sp_digit* r, sp_digit* a, sp_digit* m)
{
__asm__ __volatile__ (
"ldr x10, [%[a]]\n\t"
"ldr x11, [%[a],8]\n\t"
"ldr x12, [%[a],16]\n\t"
"ldr x13, [%[a],24]\n\t"
"adds x3, x10, x10\n\t"
"adcs x4, x11, x11\n\t"
"mov x7, 0xffffffff\n\t"
"adcs x5, x12, x12\n\t"
"mov x8, 0xffffffff00000001\n\t"
"adcs x6, x13, x13\n\t"
"csetm x9, cs\n\t"
"and x7, x7, x9\n\t"
"and x8, x8, x9\n\t"
"subs x3, x3, x9\n\t"
"sbcs x4, x4, x7\n\t"
"sbcs x5, x5, xzr\n\t"
"sbc x6, x6, x8\n\t"
"adds x3, x3, x10\n\t"
"adcs x4, x4, x11\n\t"
"mov x7, 0xffffffff\n\t"
"adcs x5, x5, x12\n\t"
"mov x8, 0xffffffff00000001\n\t"
"adcs x6, x6, x13\n\t"
"csetm x9, cs\n\t"
"and x7, x7, x9\n\t"
"and x8, x8, x9\n\t"
"subs x3, x3, x9\n\t"
"sbcs x4, x4, x7\n\t"
"sbcs x5, x5, xzr\n\t"
"sbc x6, x6, x8\n\t"
"str x3, [%[r], 0]\n\t"
"str x4, [%[r], 8]\n\t"
"str x5, [%[r], 16]\n\t"
"str x6, [%[r], 24]\n\t"
:
: [r] "r" (r), [a] "r" (a)
: "memory", "x10", "x11", "x12", "x13", "x3", "x4", "x5", "x6", "x7", "x8", "x9"
);
(void)m;
}
/* Subtract two Montgomery form numbers (r = a - b % m).
*
* r Result of subtration.
* a Number to subtract from in Montogmery form.
* b Number to subtract with in Montogmery form.
* m Modulus (prime).
*/
static void sp_256_mont_sub_4(sp_digit* r, sp_digit* a, sp_digit* b,
sp_digit* m)
{
__asm__ __volatile__ (
"ldr x4, [%[a],0]\n\t"
"ldr x5, [%[a],8]\n\t"
"ldr x6, [%[a],16]\n\t"
"ldr x7, [%[a],24]\n\t"
"ldr x8, [%[b],0]\n\t"
"ldr x9, [%[b],8]\n\t"
"ldr x10, [%[b],16]\n\t"
"ldr x11, [%[b],24]\n\t"
"subs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"mov x12, 0xffffffff\n\t"
"sbcs x6, x6, x10\n\t"
"sbcs x7, x7, x11\n\t"
"mov x13, 0xffffffff00000001\n\t"
"csetm x14, cc\n\t"
"and x12, x12, x14\n\t"
"and x13, x13, x14\n\t"
"adds x4, x4, x14\n\t"
"adcs x5, x5, x12\n\t"
"str x4, [%[r],0]\n\t"
"adcs x6, x6, xzr\n\t"
"str x5, [%[r],8]\n\t"
"adc x7, x7, x13\n\t"
"str x6, [%[r],16]\n\t"
"str x7, [%[r],24]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [m] "r" (m)
: "memory", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11", "x12", "x13", "x14"
);
}
/* Divide the number by 2 mod the modulus (prime). (r = a / 2 % m)
*
* r Result of division by 2.
* a Number to divide.
* m Modulus (prime).
*/
static void sp_256_div2_4(sp_digit* r, sp_digit* a, sp_digit* m)
{
__asm__ __volatile__ (
"ldr x3, [%[a], 0]\n\t"
"ldr x4, [%[a], 8]\n\t"
"ldr x5, [%[a], 16]\n\t"
"ldr x6, [%[a], 24]\n\t"
"and x9, x3, 1\n\t"
"sub x10, xzr, x9\n\t"
"and x7, x10, 0xffffffff\n\t"
"and x8, x10, 0xffffffff00000001\n\t"
"adds x3, x3, x10\n\t"
"adcs x4, x4, x7\n\t"
"adcs x5, x5, xzr\n\t"
"adcs x6, x6, x8\n\t"
"cset x9, cs\n\t"
"lsr x3, x3, 1\n\t"
"lsr x7, x4, 1\n\t"
"lsr x8, x5, 1\n\t"
"lsr x10, x6, 1\n\t"
"orr x3, x3, x4, lsl 63\n\t"
"orr x4, x7, x5, lsl 63\n\t"
"orr x5, x8, x6, lsl 63\n\t"
"orr x6, x10, x9, lsl 63\n\t"
"str x3, [%[r], 0]\n\t"
"str x4, [%[r], 8]\n\t"
"str x5, [%[r], 16]\n\t"
"str x6, [%[r], 24]\n\t"
:
: [r] "r" (r), [a] "r" (a), [m] "r" (m)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
}
/* Double the Montgomery form projective point p.
*
* r Result of doubling point.
* p Point to double.
* t Temporary ordinate data.
*/
static void sp_256_proj_point_dbl_4(sp_point* r, sp_point* p, sp_digit* t)
{
sp_point *rp[2];
sp_point tp;
sp_digit* t1 = t;
sp_digit* t2 = t + 2*4;
sp_digit* x;
sp_digit* y;
sp_digit* z;
int i;
/* When infinity don't double point passed in - constant time. */
rp[0] = r;
rp[1] = &tp;
x = rp[p->infinity]->x;
y = rp[p->infinity]->y;
z = rp[p->infinity]->z;
/* Put point to double into result - good for infinty. */
if (r != p) {
for (i=0; i<4; i++)
r->x[i] = p->x[i];
for (i=0; i<4; i++)
r->y[i] = p->y[i];
for (i=0; i<4; i++)
r->z[i] = p->z[i];
r->infinity = p->infinity;
}
/* T1 = Z * Z */
sp_256_mont_sqr_4(t1, z, p256_mod, p256_mp_mod);
/* Z = Y * Z */
sp_256_mont_mul_4(z, y, z, p256_mod, p256_mp_mod);
/* Z = 2Z */
sp_256_mont_dbl_4(z, z, p256_mod);
/* T2 = X - T1 */
sp_256_mont_sub_4(t2, x, t1, p256_mod);
/* T1 = X + T1 */
sp_256_mont_add_4(t1, x, t1, p256_mod);
/* T2 = T1 * T2 */
sp_256_mont_mul_4(t2, t1, t2, p256_mod, p256_mp_mod);
/* T1 = 3T2 */
sp_256_mont_tpl_4(t1, t2, p256_mod);
/* Y = 2Y */
sp_256_mont_dbl_4(y, y, p256_mod);
/* Y = Y * Y */
sp_256_mont_sqr_4(y, y, p256_mod, p256_mp_mod);
/* T2 = Y * Y */
sp_256_mont_sqr_4(t2, y, p256_mod, p256_mp_mod);
/* T2 = T2/2 */
sp_256_div2_4(t2, t2, p256_mod);
/* Y = Y * X */
sp_256_mont_mul_4(y, y, x, p256_mod, p256_mp_mod);
/* X = T1 * T1 */
sp_256_mont_mul_4(x, t1, t1, p256_mod, p256_mp_mod);
/* X = X - Y */
sp_256_mont_sub_4(x, x, y, p256_mod);
/* X = X - Y */
sp_256_mont_sub_4(x, x, y, p256_mod);
/* Y = Y - X */
sp_256_mont_sub_4(y, y, x, p256_mod);
/* Y = Y * T1 */
sp_256_mont_mul_4(y, y, t1, p256_mod, p256_mp_mod);
/* Y = Y - T2 */
sp_256_mont_sub_4(y, y, t2, p256_mod);
}
/* Double the Montgomery form projective point p a number of times.
*
* r Result of repeated doubling of point.
* p Point to double.
* n Number of times to double
* t Temporary ordinate data.
*/
static void sp_256_proj_point_dbl_n_4(sp_point* r, sp_point* p, int n,
sp_digit* t)
{
sp_point *rp[2];
sp_point tp;
sp_digit* w = t;
sp_digit* a = t + 2*4;
sp_digit* b = t + 4*4;
sp_digit* t1 = t + 6*4;
sp_digit* t2 = t + 8*4;
sp_digit* x;
sp_digit* y;
sp_digit* z;
int i;
rp[0] = r;
rp[1] = &tp;
x = rp[p->infinity]->x;
y = rp[p->infinity]->y;
z = rp[p->infinity]->z;
if (r != p) {
for (i=0; i<4; i++)
r->x[i] = p->x[i];
for (i=0; i<4; i++)
r->y[i] = p->y[i];
for (i=0; i<4; i++)
r->z[i] = p->z[i];
r->infinity = p->infinity;
}
/* Y = 2*Y */
sp_256_mont_dbl_4(y, y, p256_mod);
/* W = Z^4 */
sp_256_mont_sqr_4(w, z, p256_mod, p256_mp_mod);
sp_256_mont_sqr_4(w, w, p256_mod, p256_mp_mod);
while (n--) {
/* A = 3*(X^2 - W) */
sp_256_mont_sqr_4(t1, x, p256_mod, p256_mp_mod);
sp_256_mont_sub_4(t1, t1, w, p256_mod);
sp_256_mont_tpl_4(a, t1, p256_mod);
/* B = X*Y^2 */
sp_256_mont_sqr_4(t2, y, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(b, t2, x, p256_mod, p256_mp_mod);
/* X = A^2 - 2B */
sp_256_mont_sqr_4(x, a, p256_mod, p256_mp_mod);
sp_256_mont_dbl_4(t1, b, p256_mod);
sp_256_mont_sub_4(x, x, t1, p256_mod);
/* Z = Z*Y */
sp_256_mont_mul_4(z, z, y, p256_mod, p256_mp_mod);
/* t2 = Y^4 */
sp_256_mont_sqr_4(t2, t2, p256_mod, p256_mp_mod);
if (n) {
/* W = W*Y^4 */
sp_256_mont_mul_4(w, w, t2, p256_mod, p256_mp_mod);
}
/* y = 2*A*(B - X) - Y^4 */
sp_256_mont_sub_4(y, b, x, p256_mod);
sp_256_mont_mul_4(y, y, a, p256_mod, p256_mp_mod);
sp_256_mont_dbl_4(y, y, p256_mod);
sp_256_mont_sub_4(y, y, t2, p256_mod);
}
/* Y = Y/2 */
sp_256_div2_4(y, y, p256_mod);
}
/* Compare two numbers to determine if they are equal.
* Constant time implementation.
*
* a First number to compare.
* b Second number to compare.
* returns 1 when equal and 0 otherwise.
*/
static int sp_256_cmp_equal_4(const sp_digit* a, const sp_digit* b)
{
return ((a[0] ^ b[0]) | (a[1] ^ b[1]) | (a[2] ^ b[2]) | (a[3] ^ b[3])) == 0;
}
/* Add two Montgomery form projective points.
*
* r Result of addition.
* p Frist point to add.
* q Second point to add.
* t Temporary ordinate data.
*/
static void sp_256_proj_point_add_4(sp_point* r, sp_point* p, sp_point* q,
sp_digit* t)
{
sp_point *ap[2];
sp_point *rp[2];
sp_point tp;
sp_digit* t1 = t;
sp_digit* t2 = t + 2*4;
sp_digit* t3 = t + 4*4;
sp_digit* t4 = t + 6*4;
sp_digit* t5 = t + 8*4;
sp_digit* x;
sp_digit* y;
sp_digit* z;
int i;
/* Ensure only the first point is the same as the result. */
if (q == r) {
sp_point* a = p;
p = q;
q = a;
}
/* Check double */
sp_256_sub_4(t1, p256_mod, q->y);
sp_256_norm_4(t1);
if (sp_256_cmp_equal_4(p->x, q->x) & sp_256_cmp_equal_4(p->z, q->z) &
(sp_256_cmp_equal_4(p->y, q->y) | sp_256_cmp_equal_4(p->y, t1))) {
sp_256_proj_point_dbl_4(r, p, t);
}
else {
rp[0] = r;
rp[1] = &tp;
XMEMSET(&tp, 0, sizeof(tp));
x = rp[p->infinity | q->infinity]->x;
y = rp[p->infinity | q->infinity]->y;
z = rp[p->infinity | q->infinity]->z;
ap[0] = p;
ap[1] = q;
for (i=0; i<4; i++)
r->x[i] = ap[p->infinity]->x[i];
for (i=0; i<4; i++)
r->y[i] = ap[p->infinity]->y[i];
for (i=0; i<4; i++)
r->z[i] = ap[p->infinity]->z[i];
r->infinity = ap[p->infinity]->infinity;
/* U1 = X1*Z2^2 */
sp_256_mont_sqr_4(t1, q->z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t3, t1, q->z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t1, t1, x, p256_mod, p256_mp_mod);
/* U2 = X2*Z1^2 */
sp_256_mont_sqr_4(t2, z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t4, t2, z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t2, t2, q->x, p256_mod, p256_mp_mod);
/* S1 = Y1*Z2^3 */
sp_256_mont_mul_4(t3, t3, y, p256_mod, p256_mp_mod);
/* S2 = Y2*Z1^3 */
sp_256_mont_mul_4(t4, t4, q->y, p256_mod, p256_mp_mod);
/* H = U2 - U1 */
sp_256_mont_sub_4(t2, t2, t1, p256_mod);
/* R = S2 - S1 */
sp_256_mont_sub_4(t4, t4, t3, p256_mod);
/* Z3 = H*Z1*Z2 */
sp_256_mont_mul_4(z, z, q->z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(z, z, t2, p256_mod, p256_mp_mod);
/* X3 = R^2 - H^3 - 2*U1*H^2 */
sp_256_mont_sqr_4(x, t4, p256_mod, p256_mp_mod);
sp_256_mont_sqr_4(t5, t2, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(y, t1, t5, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t5, t5, t2, p256_mod, p256_mp_mod);
sp_256_mont_sub_4(x, x, t5, p256_mod);
sp_256_mont_dbl_4(t1, y, p256_mod);
sp_256_mont_sub_4(x, x, t1, p256_mod);
/* Y3 = R*(U1*H^2 - X3) - S1*H^3 */
sp_256_mont_sub_4(y, y, x, p256_mod);
sp_256_mont_mul_4(y, y, t4, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t5, t5, t3, p256_mod, p256_mp_mod);
sp_256_mont_sub_4(y, y, t5, p256_mod);
}
}
/* Double the Montgomery form projective point p a number of times.
*
* r Result of repeated doubling of point.
* p Point to double.
* n Number of times to double
* t Temporary ordinate data.
*/
static void sp_256_proj_point_dbl_n_store_4(sp_point* r, sp_point* p,
int n, int m, sp_digit* t)
{
sp_digit* w = t;
sp_digit* a = t + 2*4;
sp_digit* b = t + 4*4;
sp_digit* t1 = t + 6*4;
sp_digit* t2 = t + 8*4;
sp_digit* x = r[2*m].x;
sp_digit* y = r[(1<<n)*m].y;
sp_digit* z = r[2*m].z;
int i;
for (i=0; i<4; i++)
x[i] = p->x[i];
for (i=0; i<4; i++)
y[i] = p->y[i];
for (i=0; i<4; i++)
z[i] = p->z[i];
/* Y = 2*Y */
sp_256_mont_dbl_4(y, y, p256_mod);
/* W = Z^4 */
sp_256_mont_sqr_4(w, z, p256_mod, p256_mp_mod);
sp_256_mont_sqr_4(w, w, p256_mod, p256_mp_mod);
for (i=1; i<=n; i++) {
/* A = 3*(X^2 - W) */
sp_256_mont_sqr_4(t1, x, p256_mod, p256_mp_mod);
sp_256_mont_sub_4(t1, t1, w, p256_mod);
sp_256_mont_tpl_4(a, t1, p256_mod);
/* B = X*Y^2 */
sp_256_mont_sqr_4(t2, y, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(b, t2, x, p256_mod, p256_mp_mod);
x = r[(1<<i)*m].x;
/* X = A^2 - 2B */
sp_256_mont_sqr_4(x, a, p256_mod, p256_mp_mod);
sp_256_mont_dbl_4(t1, b, p256_mod);
sp_256_mont_sub_4(x, x, t1, p256_mod);
/* Z = Z*Y */
sp_256_mont_mul_4(r[(1<<i)*m].z, z, y, p256_mod, p256_mp_mod);
z = r[(1<<i)*m].z;
/* t2 = Y^4 */
sp_256_mont_sqr_4(t2, t2, p256_mod, p256_mp_mod);
if (i != n) {
/* W = W*Y^4 */
sp_256_mont_mul_4(w, w, t2, p256_mod, p256_mp_mod);
}
/* y = 2*A*(B - X) - Y^4 */
sp_256_mont_sub_4(y, b, x, p256_mod);
sp_256_mont_mul_4(y, y, a, p256_mod, p256_mp_mod);
sp_256_mont_dbl_4(y, y, p256_mod);
sp_256_mont_sub_4(y, y, t2, p256_mod);
/* Y = Y/2 */
sp_256_div2_4(r[(1<<i)*m].y, y, p256_mod);
r[(1<<i)*m].infinity = 0;
}
}
/* Add two Montgomery form projective points.
*
* ra Result of addition.
* rs Result of subtraction.
* p Frist point to add.
* q Second point to add.
* t Temporary ordinate data.
*/
static void sp_256_proj_point_add_sub_4(sp_point* ra, sp_point* rs,
sp_point* p, sp_point* q, sp_digit* t)
{
sp_digit* t1 = t;
sp_digit* t2 = t + 2*4;
sp_digit* t3 = t + 4*4;
sp_digit* t4 = t + 6*4;
sp_digit* t5 = t + 8*4;
sp_digit* t6 = t + 10*4;
sp_digit* x = ra->x;
sp_digit* y = ra->y;
sp_digit* z = ra->z;
sp_digit* xs = rs->x;
sp_digit* ys = rs->y;
sp_digit* zs = rs->z;
XMEMCPY(x, p->x, sizeof(p->x) / 2);
XMEMCPY(y, p->y, sizeof(p->y) / 2);
XMEMCPY(z, p->z, sizeof(p->z) / 2);
ra->infinity = 0;
rs->infinity = 0;
/* U1 = X1*Z2^2 */
sp_256_mont_sqr_4(t1, q->z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t3, t1, q->z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t1, t1, x, p256_mod, p256_mp_mod);
/* U2 = X2*Z1^2 */
sp_256_mont_sqr_4(t2, z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t4, t2, z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t2, t2, q->x, p256_mod, p256_mp_mod);
/* S1 = Y1*Z2^3 */
sp_256_mont_mul_4(t3, t3, y, p256_mod, p256_mp_mod);
/* S2 = Y2*Z1^3 */
sp_256_mont_mul_4(t4, t4, q->y, p256_mod, p256_mp_mod);
/* H = U2 - U1 */
sp_256_mont_sub_4(t2, t2, t1, p256_mod);
/* RS = S2 + S1 */
sp_256_mont_add_4(t6, t4, t3, p256_mod);
/* R = S2 - S1 */
sp_256_mont_sub_4(t4, t4, t3, p256_mod);
/* Z3 = H*Z1*Z2 */
/* ZS = H*Z1*Z2 */
sp_256_mont_mul_4(z, z, q->z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(z, z, t2, p256_mod, p256_mp_mod);
XMEMCPY(zs, z, sizeof(p->z)/2);
/* X3 = R^2 - H^3 - 2*U1*H^2 */
/* XS = RS^2 - H^3 - 2*U1*H^2 */
sp_256_mont_sqr_4(x, t4, p256_mod, p256_mp_mod);
sp_256_mont_sqr_4(xs, t6, p256_mod, p256_mp_mod);
sp_256_mont_sqr_4(t5, t2, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(y, t1, t5, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t5, t5, t2, p256_mod, p256_mp_mod);
sp_256_mont_sub_4(x, x, t5, p256_mod);
sp_256_mont_sub_4(xs, xs, t5, p256_mod);
sp_256_mont_dbl_4(t1, y, p256_mod);
sp_256_mont_sub_4(x, x, t1, p256_mod);
sp_256_mont_sub_4(xs, xs, t1, p256_mod);
/* Y3 = R*(U1*H^2 - X3) - S1*H^3 */
/* YS = -RS*(U1*H^2 - XS) - S1*H^3 */
sp_256_mont_sub_4(ys, y, xs, p256_mod);
sp_256_mont_sub_4(y, y, x, p256_mod);
sp_256_mont_mul_4(y, y, t4, p256_mod, p256_mp_mod);
sp_256_sub_4(t6, p256_mod, t6);
sp_256_mont_mul_4(ys, ys, t6, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t5, t5, t3, p256_mod, p256_mp_mod);
sp_256_mont_sub_4(y, y, t5, p256_mod);
sp_256_mont_sub_4(ys, ys, t5, p256_mod);
}
/* Structure used to describe recoding of scalar multiplication. */
typedef struct ecc_recode {
/* Index into pre-computation table. */
uint8_t i;
/* Use the negative of the point. */
uint8_t neg;
} ecc_recode;
/* The index into pre-computation table to use. */
static uint8_t recode_index_4_6[66] = {
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17,
16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1,
0, 1,
};
/* Whether to negate y-ordinate. */
static uint8_t recode_neg_4_6[66] = {
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,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0,
};
/* Recode the scalar for multiplication using pre-computed values and
* subtraction.
*
* k Scalar to multiply by.
* v Vector of operations to peform.
*/
static void sp_256_ecc_recode_6_4(sp_digit* k, ecc_recode* v)
{
int i, j;
uint8_t y;
int carry = 0;
int o;
sp_digit n;
j = 0;
n = k[j];
o = 0;
for (i=0; i<43; i++) {
y = n;
if (o + 6 < 64) {
y &= 0x3f;
n >>= 6;
o += 6;
}
else if (o + 6 == 64) {
n >>= 6;
if (++j < 4)
n = k[j];
o = 0;
}
else if (++j < 4) {
n = k[j];
y |= (n << (64 - o)) & 0x3f;
o -= 58;
n >>= o;
}
y += carry;
v[i].i = recode_index_4_6[y];
v[i].neg = recode_neg_4_6[y];
carry = (y >> 6) + v[i].neg;
}
}
/* Multiply the point by the scalar and return the result.
* If map is true then convert result to affine co-ordinates.
*
* r Resulting point.
* g Point to multiply.
* k Scalar to multiply by.
* map Indicates whether to convert result to affine.
* heap Heap to use for allocation.
* returns MEMORY_E when memory allocation fails and MP_OKAY on success.
*/
static int sp_256_ecc_mulmod_win_add_sub_4(sp_point* r, sp_point* g,
sp_digit* k, int map, void* heap)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_point td[33];
sp_point rtd, pd;
sp_digit tmpd[2 * 4 * 6];
#endif
sp_point* t;
sp_point* rt;
sp_point* p = NULL;
sp_digit* tmp;
sp_digit* negy;
int i;
ecc_recode v[43];
int err;
(void)heap;
err = sp_ecc_point_new(heap, rtd, rt);
if (err == MP_OKAY)
err = sp_ecc_point_new(heap, pd, p);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
t = (sp_point*)XMALLOC(sizeof(sp_point) * 33, heap, DYNAMIC_TYPE_ECC);
if (t == NULL)
err = MEMORY_E;
tmp = (sp_digit*)XMALLOC(sizeof(sp_digit) * 2 * 4 * 6, heap,
DYNAMIC_TYPE_ECC);
if (tmp == NULL)
err = MEMORY_E;
#else
t = td;
tmp = tmpd;
#endif
if (err == MP_OKAY) {
/* t[0] = {0, 0, 1} * norm */
XMEMSET(&t[0], 0, sizeof(t[0]));
t[0].infinity = 1;
/* t[1] = {g->x, g->y, g->z} * norm */
err = sp_256_mod_mul_norm_4(t[1].x, g->x, p256_mod);
}
if (err == MP_OKAY)
err = sp_256_mod_mul_norm_4(t[1].y, g->y, p256_mod);
if (err == MP_OKAY)
err = sp_256_mod_mul_norm_4(t[1].z, g->z, p256_mod);
if (err == MP_OKAY) {
t[1].infinity = 0;
/* t[2] ... t[32] */
sp_256_proj_point_dbl_n_store_4(t, &t[ 1], 5, 1, tmp);
sp_256_proj_point_add_4(&t[ 3], &t[ 2], &t[ 1], tmp);
sp_256_proj_point_dbl_4(&t[ 6], &t[ 3], tmp);
sp_256_proj_point_add_sub_4(&t[ 7], &t[ 5], &t[ 6], &t[ 1], tmp);
sp_256_proj_point_dbl_4(&t[10], &t[ 5], tmp);
sp_256_proj_point_add_sub_4(&t[11], &t[ 9], &t[10], &t[ 1], tmp);
sp_256_proj_point_dbl_4(&t[12], &t[ 6], tmp);
sp_256_proj_point_dbl_4(&t[14], &t[ 7], tmp);
sp_256_proj_point_add_sub_4(&t[15], &t[13], &t[14], &t[ 1], tmp);
sp_256_proj_point_dbl_4(&t[18], &t[ 9], tmp);
sp_256_proj_point_add_sub_4(&t[19], &t[17], &t[18], &t[ 1], tmp);
sp_256_proj_point_dbl_4(&t[20], &t[10], tmp);
sp_256_proj_point_dbl_4(&t[22], &t[11], tmp);
sp_256_proj_point_add_sub_4(&t[23], &t[21], &t[22], &t[ 1], tmp);
sp_256_proj_point_dbl_4(&t[24], &t[12], tmp);
sp_256_proj_point_dbl_4(&t[26], &t[13], tmp);
sp_256_proj_point_add_sub_4(&t[27], &t[25], &t[26], &t[ 1], tmp);
sp_256_proj_point_dbl_4(&t[28], &t[14], tmp);
sp_256_proj_point_dbl_4(&t[30], &t[15], tmp);
sp_256_proj_point_add_sub_4(&t[31], &t[29], &t[30], &t[ 1], tmp);
negy = t[0].y;
sp_256_ecc_recode_6_4(k, v);
i = 42;
XMEMCPY(rt, &t[v[i].i], sizeof(sp_point));
for (--i; i>=0; i--) {
sp_256_proj_point_dbl_n_4(rt, rt, 6, tmp);
XMEMCPY(p, &t[v[i].i], sizeof(sp_point));
sp_256_sub_4(negy, p256_mod, p->y);
sp_256_cond_copy_4(p->y, negy, (sp_digit)0 - v[i].neg);
sp_256_proj_point_add_4(rt, rt, p, tmp);
}
if (map)
sp_256_map_4(r, rt, tmp);
else
XMEMCPY(r, rt, sizeof(sp_point));
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (t != NULL)
XFREE(t, heap, DYNAMIC_TYPE_ECC);
if (tmp != NULL)
XFREE(tmp, heap, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(p, 0, heap);
sp_ecc_point_free(rt, 0, heap);
return err;
}
/* A table entry for pre-computed points. */
typedef struct sp_table_entry {
sp_digit x[4];
sp_digit y[4];
byte infinity;
} sp_table_entry;
#if defined(FP_ECC) || defined(WOLFSSL_SP_SMALL)
#endif /* FP_ECC || WOLFSSL_SP_SMALL */
/* Add two Montgomery form projective points. The second point has a q value of
* one.
* Only the first point can be the same pointer as the result point.
*
* r Result of addition.
* p Frist point to add.
* q Second point to add.
* t Temporary ordinate data.
*/
static void sp_256_proj_point_add_qz1_4(sp_point* r, sp_point* p,
sp_point* q, sp_digit* t)
{
sp_point *ap[2];
sp_point *rp[2];
sp_point tp;
sp_digit* t1 = t;
sp_digit* t2 = t + 2*4;
sp_digit* t3 = t + 4*4;
sp_digit* t4 = t + 6*4;
sp_digit* t5 = t + 8*4;
sp_digit* x;
sp_digit* y;
sp_digit* z;
int i;
/* Check double */
sp_256_sub_4(t1, p256_mod, q->y);
sp_256_norm_4(t1);
if (sp_256_cmp_equal_4(p->x, q->x) & sp_256_cmp_equal_4(p->z, q->z) &
(sp_256_cmp_equal_4(p->y, q->y) | sp_256_cmp_equal_4(p->y, t1))) {
sp_256_proj_point_dbl_4(r, p, t);
}
else {
rp[0] = r;
rp[1] = &tp;
XMEMSET(&tp, 0, sizeof(tp));
x = rp[p->infinity | q->infinity]->x;
y = rp[p->infinity | q->infinity]->y;
z = rp[p->infinity | q->infinity]->z;
ap[0] = p;
ap[1] = q;
for (i=0; i<4; i++)
r->x[i] = ap[p->infinity]->x[i];
for (i=0; i<4; i++)
r->y[i] = ap[p->infinity]->y[i];
for (i=0; i<4; i++)
r->z[i] = ap[p->infinity]->z[i];
r->infinity = ap[p->infinity]->infinity;
/* U2 = X2*Z1^2 */
sp_256_mont_sqr_4(t2, z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t4, t2, z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t2, t2, q->x, p256_mod, p256_mp_mod);
/* S2 = Y2*Z1^3 */
sp_256_mont_mul_4(t4, t4, q->y, p256_mod, p256_mp_mod);
/* H = U2 - X1 */
sp_256_mont_sub_4(t2, t2, x, p256_mod);
/* R = S2 - Y1 */
sp_256_mont_sub_4(t4, t4, y, p256_mod);
/* Z3 = H*Z1 */
sp_256_mont_mul_4(z, z, t2, p256_mod, p256_mp_mod);
/* X3 = R^2 - H^3 - 2*X1*H^2 */
sp_256_mont_sqr_4(t1, t4, p256_mod, p256_mp_mod);
sp_256_mont_sqr_4(t5, t2, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t3, x, t5, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t5, t5, t2, p256_mod, p256_mp_mod);
sp_256_mont_sub_4(x, t1, t5, p256_mod);
sp_256_mont_dbl_4(t1, t3, p256_mod);
sp_256_mont_sub_4(x, x, t1, p256_mod);
/* Y3 = R*(X1*H^2 - X3) - Y1*H^3 */
sp_256_mont_sub_4(t3, t3, x, p256_mod);
sp_256_mont_mul_4(t3, t3, t4, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t5, t5, y, p256_mod, p256_mp_mod);
sp_256_mont_sub_4(y, t3, t5, p256_mod);
}
}
#ifdef FP_ECC
/* Convert the projective point to affine.
* Ordinates are in Montgomery form.
*
* a Point to convert.
* t Temprorary data.
*/
static void sp_256_proj_to_affine_4(sp_point* a, sp_digit* t)
{
sp_digit* t1 = t;
sp_digit* t2 = t + 2 * 4;
sp_digit* tmp = t + 4 * 4;
sp_256_mont_inv_4(t1, a->z, tmp);
sp_256_mont_sqr_4(t2, t1, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(t1, t2, t1, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(a->x, a->x, t2, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(a->y, a->y, t1, p256_mod, p256_mp_mod);
XMEMCPY(a->z, p256_norm_mod, sizeof(p256_norm_mod));
}
/* Generate the pre-computed table of points for the base point.
*
* a The base point.
* table Place to store generated point data.
* tmp Temprorary data.
* heap Heap to use for allocation.
*/
static int sp_256_gen_stripe_table_4(sp_point* a,
sp_table_entry* table, sp_digit* tmp, void* heap)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_point td, s1d, s2d;
#endif
sp_point* t;
sp_point* s1 = NULL;
sp_point* s2 = NULL;
int i, j;
int err;
(void)heap;
err = sp_ecc_point_new(heap, td, t);
if (err == MP_OKAY)
err = sp_ecc_point_new(heap, s1d, s1);
if (err == MP_OKAY)
err = sp_ecc_point_new(heap, s2d, s2);
if (err == MP_OKAY)
err = sp_256_mod_mul_norm_4(t->x, a->x, p256_mod);
if (err == MP_OKAY)
err = sp_256_mod_mul_norm_4(t->y, a->y, p256_mod);
if (err == MP_OKAY)
err = sp_256_mod_mul_norm_4(t->z, a->z, p256_mod);
if (err == MP_OKAY) {
t->infinity = 0;
sp_256_proj_to_affine_4(t, tmp);
XMEMCPY(s1->z, p256_norm_mod, sizeof(p256_norm_mod));
s1->infinity = 0;
XMEMCPY(s2->z, p256_norm_mod, sizeof(p256_norm_mod));
s2->infinity = 0;
/* table[0] = {0, 0, infinity} */
XMEMSET(&table[0], 0, sizeof(sp_table_entry));
table[0].infinity = 1;
/* table[1] = Affine version of 'a' in Montgomery form */
XMEMCPY(table[1].x, t->x, sizeof(table->x));
XMEMCPY(table[1].y, t->y, sizeof(table->y));
table[1].infinity = 0;
for (i=1; i<8; i++) {
sp_256_proj_point_dbl_n_4(t, t, 32, tmp);
sp_256_proj_to_affine_4(t, tmp);
XMEMCPY(table[1<<i].x, t->x, sizeof(table->x));
XMEMCPY(table[1<<i].y, t->y, sizeof(table->y));
table[1<<i].infinity = 0;
}
for (i=1; i<8; i++) {
XMEMCPY(s1->x, table[1<<i].x, sizeof(table->x));
XMEMCPY(s1->y, table[1<<i].y, sizeof(table->y));
for (j=(1<<i)+1; j<(1<<(i+1)); j++) {
XMEMCPY(s2->x, table[j-(1<<i)].x, sizeof(table->x));
XMEMCPY(s2->y, table[j-(1<<i)].y, sizeof(table->y));
sp_256_proj_point_add_qz1_4(t, s1, s2, tmp);
sp_256_proj_to_affine_4(t, tmp);
XMEMCPY(table[j].x, t->x, sizeof(table->x));
XMEMCPY(table[j].y, t->y, sizeof(table->y));
table[j].infinity = 0;
}
}
}
sp_ecc_point_free(s2, 0, heap);
sp_ecc_point_free(s1, 0, heap);
sp_ecc_point_free( t, 0, heap);
return err;
}
#endif /* FP_ECC */
#if defined(FP_ECC) || defined(WOLFSSL_SP_SMALL)
/* Multiply the point by the scalar and return the result.
* If map is true then convert result to affine co-ordinates.
*
* r Resulting point.
* k Scalar to multiply by.
* map Indicates whether to convert result to affine.
* heap Heap to use for allocation.
* returns MEMORY_E when memory allocation fails and MP_OKAY on success.
*/
static int sp_256_ecc_mulmod_stripe_4(sp_point* r, sp_point* g,
sp_table_entry* table, sp_digit* k, int map, void* heap)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_point rtd;
sp_point pd;
sp_digit td[2 * 4 * 5];
#endif
sp_point* rt;
sp_point* p = NULL;
sp_digit* t;
int i, j;
int y, x;
int err;
(void)g;
(void)heap;
err = sp_ecc_point_new(heap, rtd, rt);
if (err == MP_OKAY)
err = sp_ecc_point_new(heap, pd, p);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
t = (sp_digit*)XMALLOC(sizeof(sp_digit) * 2 * 4 * 5, heap,
DYNAMIC_TYPE_ECC);
if (t == NULL)
err = MEMORY_E;
#else
t = td;
#endif
if (err == MP_OKAY) {
XMEMCPY(p->z, p256_norm_mod, sizeof(p256_norm_mod));
XMEMCPY(rt->z, p256_norm_mod, sizeof(p256_norm_mod));
y = 0;
for (j=0,x=31; j<8; j++,x+=32)
y |= ((k[x / 64] >> (x % 64)) & 1) << j;
XMEMCPY(rt->x, table[y].x, sizeof(table[y].x));
XMEMCPY(rt->y, table[y].y, sizeof(table[y].y));
rt->infinity = table[y].infinity;
for (i=30; i>=0; i--) {
y = 0;
for (j=0,x=i; j<8; j++,x+=32)
y |= ((k[x / 64] >> (x % 64)) & 1) << j;
sp_256_proj_point_dbl_4(rt, rt, t);
XMEMCPY(p->x, table[y].x, sizeof(table[y].x));
XMEMCPY(p->y, table[y].y, sizeof(table[y].y));
p->infinity = table[y].infinity;
sp_256_proj_point_add_qz1_4(rt, rt, p, t);
}
if (map)
sp_256_map_4(r, rt, t);
else
XMEMCPY(r, rt, sizeof(sp_point));
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (t != NULL)
XFREE(t, heap, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(p, 0, heap);
sp_ecc_point_free(rt, 0, heap);
return err;
}
#endif /* FP_ECC || WOLFSSL_SP_SMALL */
#ifdef FP_ECC
#ifndef FP_ENTRIES
#define FP_ENTRIES 16
#endif
typedef struct sp_cache_t {
sp_digit x[4];
sp_digit y[4];
sp_table_entry table[256];
uint32_t cnt;
int set;
} sp_cache_t;
static THREAD_LS_T sp_cache_t sp_cache[FP_ENTRIES];
static THREAD_LS_T int sp_cache_last = -1;
static THREAD_LS_T int sp_cache_inited = 0;
#ifndef HAVE_THREAD_LS
static volatile int initCacheMutex = 0;
static wolfSSL_Mutex sp_cache_lock;
#endif
static void sp_ecc_get_cache(sp_point* g, sp_cache_t** cache)
{
int i, j;
uint32_t least;
if (sp_cache_inited == 0) {
for (i=0; i<FP_ENTRIES; i++) {
sp_cache[i].set = 0;
}
sp_cache_inited = 1;
}
/* Compare point with those in cache. */
for (i=0; i<FP_ENTRIES; i++) {
if (!sp_cache[i].set)
continue;
if (sp_256_cmp_equal_4(g->x, sp_cache[i].x) &
sp_256_cmp_equal_4(g->y, sp_cache[i].y)) {
sp_cache[i].cnt++;
break;
}
}
/* No match. */
if (i == FP_ENTRIES) {
/* Find empty entry. */
i = (sp_cache_last + 1) % FP_ENTRIES;
for (; i != sp_cache_last; i=(i+1)%FP_ENTRIES) {
if (!sp_cache[i].set) {
break;
}
}
/* Evict least used. */
if (i == sp_cache_last) {
least = sp_cache[0].cnt;
for (j=1; j<FP_ENTRIES; j++) {
if (sp_cache[j].cnt < least) {
i = j;
least = sp_cache[i].cnt;
}
}
}
XMEMCPY(sp_cache[i].x, g->x, sizeof(sp_cache[i].x));
XMEMCPY(sp_cache[i].y, g->y, sizeof(sp_cache[i].y));
sp_cache[i].set = 1;
sp_cache[i].cnt = 1;
}
*cache = &sp_cache[i];
sp_cache_last = i;
}
#endif /* FP_ECC */
/* Multiply the base point of P256 by the scalar and return the result.
* If map is true then convert result to affine co-ordinates.
*
* r Resulting point.
* g Point to multiply.
* k Scalar to multiply by.
* map Indicates whether to convert result to affine.
* heap Heap to use for allocation.
* returns MEMORY_E when memory allocation fails and MP_OKAY on success.
*/
static int sp_256_ecc_mulmod_4(sp_point* r, sp_point* g, sp_digit* k,
int map, void* heap)
{
#ifndef FP_ECC
return sp_256_ecc_mulmod_win_add_sub_4(r, g, k, map, heap);
#else
sp_digit tmp[2 * 4 * 5];
sp_cache_t* cache;
int err = MP_OKAY;
#ifndef HAVE_THREAD_LS
if (initCacheMutex == 0) {
wc_InitMutex(&sp_cache_lock);
initCacheMutex = 1;
}
if (wc_LockMutex(&sp_cache_lock) != 0)
err = BAD_MUTEX_E;
#endif /* HAVE_THREAD_LS */
if (err == MP_OKAY) {
sp_ecc_get_cache(g, &cache);
if (cache->cnt == 2)
sp_256_gen_stripe_table_4(g, cache->table, tmp, heap);
#ifndef HAVE_THREAD_LS
wc_UnLockMutex(&sp_cache_lock);
#endif /* HAVE_THREAD_LS */
if (cache->cnt < 2) {
err = sp_256_ecc_mulmod_win_add_sub_4(r, g, k, map, heap);
}
else {
err = sp_256_ecc_mulmod_stripe_4(r, g, cache->table, k,
map, heap);
}
}
return err;
#endif
}
/* Multiply the point by the scalar and return the result.
* If map is true then convert result to affine co-ordinates.
*
* km Scalar to multiply by.
* p Point to multiply.
* r Resulting point.
* map Indicates whether to convert result to affine.
* heap Heap to use for allocation.
* returns MEMORY_E when memory allocation fails and MP_OKAY on success.
*/
int sp_ecc_mulmod_256(mp_int* km, ecc_point* gm, ecc_point* r, int map,
void* heap)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_point p;
sp_digit kd[4];
#endif
sp_point* point;
sp_digit* k = NULL;
int err = MP_OKAY;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
err = sp_ecc_point_new(heap, p, point);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
k = XMALLOC(sizeof(sp_digit) * 4, heap, DYNAMIC_TYPE_ECC);
if (k == NULL)
err = MEMORY_E;
}
#else
k = kd;
#endif
if (err == MP_OKAY) {
sp_256_from_mp(k, 4, km);
sp_256_point_from_ecc_point_4(point, gm);
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
err = sp_256_ecc_mulmod_avx2_4(point, point, k, map, heap);
else
#endif
err = sp_256_ecc_mulmod_4(point, point, k, map, heap);
}
if (err == MP_OKAY)
err = sp_256_point_to_ecc_point_4(point, r);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (k != NULL)
XFREE(k, heap, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(point, 0, heap);
return err;
}
#ifdef WOLFSSL_SP_SMALL
static sp_table_entry p256_table[256] = {
/* 0 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 */
{ { 0x79e730d418a9143cl,0x75ba95fc5fedb601l,0x79fb732b77622510l,
0x18905f76a53755c6l },
{ 0xddf25357ce95560al,0x8b4ab8e4ba19e45cl,0xd2e88688dd21f325l,
0x8571ff1825885d85l },
0 },
/* 2 */
{ { 0x202886024147519al,0xd0981eac26b372f0l,0xa9d4a7caa785ebc8l,
0xd953c50ddbdf58e9l },
{ 0x9d6361ccfd590f8fl,0x72e9626b44e6c917l,0x7fd9611022eb64cfl,
0x863ebb7e9eb288f3l },
0 },
/* 3 */
{ { 0x7856b6235cdb6485l,0x808f0ea22f0a2f97l,0x3e68d9544f7e300bl,
0x00076055b5ff80a0l },
{ 0x7634eb9b838d2010l,0x54014fbb3243708al,0xe0e47d39842a6606l,
0x8308776134373ee0l },
0 },
/* 4 */
{ { 0x4f922fc516a0d2bbl,0x0d5cc16c1a623499l,0x9241cf3a57c62c8bl,
0x2f5e6961fd1b667fl },
{ 0x5c15c70bf5a01797l,0x3d20b44d60956192l,0x04911b37071fdb52l,
0xf648f9168d6f0f7bl },
0 },
/* 5 */
{ { 0x9e566847e137bbbcl,0xe434469e8a6a0becl,0xb1c4276179d73463l,
0x5abe0285133d0015l },
{ 0x92aa837cc04c7dabl,0x573d9f4c43260c07l,0x0c93156278e6cc37l,
0x94bb725b6b6f7383l },
0 },
/* 6 */
{ { 0xbbf9b48f720f141cl,0x6199b3cd2df5bc74l,0xdc3f6129411045c4l,
0xcdd6bbcb2f7dc4efl },
{ 0xcca6700beaf436fdl,0x6f647f6db99326bel,0x0c0fa792014f2522l,
0xa361bebd4bdae5f6l },
0 },
/* 7 */
{ { 0x28aa2558597c13c7l,0xc38d635f50b7c3e1l,0x07039aecf3c09d1dl,
0xba12ca09c4b5292cl },
{ 0x9e408fa459f91dfdl,0x3af43b66ceea07fbl,0x1eceb0899d780b29l,
0x53ebb99d701fef4bl },
0 },
/* 8 */
{ { 0x4fe7ee31b0e63d34l,0xf4600572a9e54fabl,0xc0493334d5e7b5a4l,
0x8589fb9206d54831l },
{ 0xaa70f5cc6583553al,0x0879094ae25649e5l,0xcc90450710044652l,
0xebb0696d02541c4fl },
0 },
/* 9 */
{ { 0x4616ca15ac1647c5l,0xb8127d47c4cf5799l,0xdc666aa3764dfbacl,
0xeb2820cbd1b27da3l },
{ 0x9406f8d86a87e008l,0xd87dfa9d922378f3l,0x56ed2e4280ccecb2l,
0x1f28289b55a7da1dl },
0 },
/* 10 */
{ { 0xabbaa0c03b89da99l,0xa6f2d79eb8284022l,0x27847862b81c05e8l,
0x337a4b5905e54d63l },
{ 0x3c67500d21f7794al,0x207005b77d6d7f61l,0x0a5a378104cfd6e8l,
0x0d65e0d5f4c2fbd6l },
0 },
/* 11 */
{ { 0xd9d09bbeb5275d38l,0x4268a7450be0a358l,0xf0762ff4973eb265l,
0xc23da24252f4a232l },
{ 0x5da1b84f0b94520cl,0x09666763b05bd78el,0x3a4dcb8694d29ea1l,
0x19de3b8cc790cff1l },
0 },
/* 12 */
{ { 0x183a716c26c5fe04l,0x3b28de0b3bba1bdbl,0x7432c586a4cb712cl,
0xe34dcbd491fccbfdl },
{ 0xb408d46baaa58403l,0x9a69748682e97a53l,0x9e39012736aaa8afl,
0xe7641f447b4e0f7fl },
0 },
/* 13 */
{ { 0x7d753941df64ba59l,0xd33f10ec0b0242fcl,0x4f06dfc6a1581859l,
0x4a12df57052a57bfl },
{ 0xbfa6338f9439dbd0l,0xd3c24bd4bde53e1fl,0xfd5e4ffa21f1b314l,
0x6af5aa93bb5bea46l },
0 },
/* 14 */
{ { 0xda10b69910c91999l,0x0a24b4402a580491l,0x3e0094b4b8cc2090l,
0x5fe3475a66a44013l },
{ 0xb0f8cabdf93e7b4bl,0x292b501a7c23f91al,0x42e889aecd1e6263l,
0xb544e308ecfea916l },
0 },
/* 15 */
{ { 0x6478c6e916ddfdcel,0x2c329166f89179e6l,0x4e8d6e764d4e67e1l,
0xe0b6b2bda6b0c20bl },
{ 0x0d312df2bb7efb57l,0x1aac0dde790c4007l,0xf90336ad679bc944l,
0x71c023de25a63774l },
0 },
/* 16 */
{ { 0x62a8c244bfe20925l,0x91c19ac38fdce867l,0x5a96a5d5dd387063l,
0x61d587d421d324f6l },
{ 0xe87673a2a37173eal,0x2384800853778b65l,0x10f8441e05bab43el,
0xfa11fe124621efbel },
0 },
/* 17 */
{ { 0x1c891f2b2cb19ffdl,0x01ba8d5bb1923c23l,0xb6d03d678ac5ca8el,
0x586eb04c1f13bedcl },
{ 0x0c35c6e527e8ed09l,0x1e81a33c1819ede2l,0x278fd6c056c652fal,
0x19d5ac0870864f11l },
0 },
/* 18 */
{ { 0x1e99f581309a4e1fl,0xab7de71be9270074l,0x26a5ef0befd28d20l,
0xe7c0073f7f9c563fl },
{ 0x1f6d663a0ef59f76l,0x669b3b5420fcb050l,0xc08c1f7a7a6602d4l,
0xe08504fec65b3c0al },
0 },
/* 19 */
{ { 0xf098f68da031b3cal,0x6d1cab9ee6da6d66l,0x5bfd81fa94f246e8l,
0x78f018825b0996b4l },
{ 0xb7eefde43a25787fl,0x8016f80d1dccac9bl,0x0cea4877b35bfc36l,
0x43a773b87e94747al },
0 },
/* 20 */
{ { 0x62577734d2b533d5l,0x673b8af6a1bdddc0l,0x577e7c9aa79ec293l,
0xbb6de651c3b266b1l },
{ 0xe7e9303ab65259b3l,0xd6a0afd3d03a7480l,0xc5ac83d19b3cfc27l,
0x60b4619a5d18b99bl },
0 },
/* 21 */
{ { 0xbd6a38e11ae5aa1cl,0xb8b7652b49e73658l,0x0b130014ee5f87edl,
0x9d0f27b2aeebffcdl },
{ 0xca9246317a730a55l,0x9c955b2fddbbc83al,0x07c1dfe0ac019a71l,
0x244a566d356ec48dl },
0 },
/* 22 */
{ { 0x6db0394aeacf1f96l,0x9f2122a9024c271cl,0x2626ac1b82cbd3b9l,
0x45e58c873581ef69l },
{ 0xd3ff479da38f9dbcl,0xa8aaf146e888a040l,0x945adfb246e0bed7l,
0xc040e21cc1e4b7a4l },
0 },
/* 23 */
{ { 0x847af0006f8117b6l,0x651969ff73a35433l,0x482b35761d9475ebl,
0x1cdf5c97682c6ec7l },
{ 0x7db775b411f04839l,0x7dbeacf448de1698l,0xb2921dd1b70b3219l,
0x046755f8a92dff3dl },
0 },
/* 24 */
{ { 0xcc8ac5d2bce8ffcdl,0x0d53c48b2fe61a82l,0xf6f161727202d6c7l,
0x046e5e113b83a5f3l },
{ 0xe7b8ff64d8007f01l,0x7fb1ef125af43183l,0x045c5ea635e1a03cl,
0x6e0106c3303d005bl },
0 },
/* 25 */
{ { 0x48c7358488dd73b1l,0x7670708f995ed0d9l,0x38385ea8c56a2ab7l,
0x442594ede901cf1fl },
{ 0xf8faa2c912d4b65bl,0x94c2343b96c90c37l,0xd326e4a15e978d1fl,
0xa796fa514c2ee68el },
0 },
/* 26 */
{ { 0x359fb604823addd7l,0x9e2a6183e56693b3l,0xf885b78e3cbf3c80l,
0xe4ad2da9c69766e9l },
{ 0x357f7f428e048a61l,0x082d198cc092d9a0l,0xfc3a1af4c03ed8efl,
0xc5e94046c37b5143l },
0 },
/* 27 */
{ { 0x476a538c2be75f9el,0x6fd1a9e8cb123a78l,0xd85e4df0b109c04bl,
0x63283dafdb464747l },
{ 0xce728cf7baf2df15l,0xe592c4550ad9a7f4l,0xfab226ade834bcc3l,
0x68bd19ab1981a938l },
0 },
/* 28 */
{ { 0xc08ead511887d659l,0x3374d5f4b359305al,0x96986981cfe74fe3l,
0x495292f53c6fdfd6l },
{ 0x4a878c9e1acec896l,0xd964b210ec5b4484l,0x6696f7e2664d60a7l,
0x0ec7530d26036837l },
0 },
/* 29 */
{ { 0x2da13a05ad2687bbl,0xa1f83b6af32e21fal,0x390f5ef51dd4607bl,
0x0f6207a664863f0bl },
{ 0xbd67e3bb0f138233l,0xdd66b96c272aa718l,0x8ed0040726ec88ael,
0xff0db07208ed6dcfl },
0 },
/* 30 */
{ { 0x749fa1014c95d553l,0xa44052fd5d680a8al,0x183b4317ff3b566fl,
0x313b513c88740ea3l },
{ 0xb402e2ac08d11549l,0x071ee10bb4dee21cl,0x26b987dd47f2320el,
0x2d3abcf986f19f81l },
0 },
/* 31 */
{ { 0x4c288501815581a2l,0x9a0a6d56632211afl,0x19ba7a0f0cab2e99l,
0xc036fa10ded98cdfl },
{ 0x29ae08bac1fbd009l,0x0b68b19006d15816l,0xc2eb32779b9e0d8fl,
0xa6b2a2c4b6d40194l },
0 },
/* 32 */
{ { 0xd433e50f6d3549cfl,0x6f33696ffacd665el,0x695bfdacce11fcb4l,
0x810ee252af7c9860l },
{ 0x65450fe17159bb2cl,0xf7dfbebe758b357bl,0x2b057e74d69fea72l,
0xd485717a92731745l },
0 },
/* 33 */
{ { 0x11741a8af0cb5a98l,0xd3da8f931f3110bfl,0x1994e2cbab382adfl,
0x6a6045a72f9a604el },
{ 0x170c0d3fa2b2411dl,0xbe0eb83e510e96e0l,0x3bcc9f738865b3ccl,
0xd3e45cfaf9e15790l },
0 },
/* 34 */
{ { 0xce1f69bbe83f7669l,0x09f8ae8272877d6bl,0x9548ae543244278dl,
0x207755dee3c2c19cl },
{ 0x87bd61d96fef1945l,0x18813cefb12d28c3l,0x9fbcd1d672df64aal,
0x48dc5ee57154b00dl },
0 },
/* 35 */
{ { 0x123790bff7e5a199l,0xe0efb8cf989ccbb7l,0xc27a2bfe0a519c79l,
0xf2fb0aeddff6f445l },
{ 0x41c09575f0b5025fl,0x550543d740fa9f22l,0x8fa3c8ad380bfbd0l,
0xa13e9015db28d525l },
0 },
/* 36 */
{ { 0xf9f7a350a2b65cbcl,0x0b04b9722a464226l,0x265ce241e23f07a1l,
0x2bf0d6b01497526fl },
{ 0xd3d4dd3f4b216fb7l,0xf7d7b867fbdda26al,0xaeb7b83f6708505cl,
0x42a94a5a162fe89fl },
0 },
/* 37 */
{ { 0x5846ad0beaadf191l,0x0f8a489025a268d7l,0xe8603050494dc1f6l,
0x2c2dd969c65ede3dl },
{ 0x6d02171d93849c17l,0x460488ba1da250ddl,0x4810c7063c3a5485l,
0xf437fa1f42c56dbcl },
0 },
/* 38 */
{ { 0x6aa0d7144a0f7dabl,0x0f0497931776e9acl,0x52c0a050f5f39786l,
0xaaf45b3354707aa8l },
{ 0x85e37c33c18d364al,0xd40b9b063e497165l,0xf417168115ec5444l,
0xcdf6310df4f272bcl },
0 },
/* 39 */
{ { 0x7473c6238ea8b7efl,0x08e9351885bc2287l,0x419567722bda8e34l,
0xf0d008bada9e2ff2l },
{ 0x2912671d2414d3b1l,0xb3754985b019ea76l,0x5c61b96d453bcbdbl,
0x5bd5c2f5ca887b8bl },
0 },
/* 40 */
{ { 0xef0f469ef49a3154l,0x3e85a5956e2b2e9al,0x45aaec1eaa924a9cl,
0xaa12dfc8a09e4719l },
{ 0x26f272274df69f1dl,0xe0e4c82ca2ff5e73l,0xb9d8ce73b7a9dd44l,
0x6c036e73e48ca901l },
0 },
/* 41 */
{ { 0x5cfae12a0f6e3138l,0x6966ef0025ad345al,0x8993c64b45672bc5l,
0x292ff65896afbe24l },
{ 0xd5250d445e213402l,0xf6580e274392c9fel,0x097b397fda1c72e8l,
0x644e0c90311b7276l },
0 },
/* 42 */
{ { 0xe1e421e1a47153f0l,0xb86c3b79920418c9l,0x93bdce87705d7672l,
0xf25ae793cab79a77l },
{ 0x1f3194a36d869d0cl,0x9d55c8824986c264l,0x49fb5ea3096e945el,
0x39b8e65313db0a3el },
0 },
/* 43 */
{ { 0x37754200b6fd2e59l,0x35e2c0669255c98fl,0xd9dab21a0e2a5739l,
0x39122f2f0f19db06l },
{ 0xcfbce1e003cad53cl,0x225b2c0fe65c17e3l,0x72baf1d29aa13877l,
0x8de80af8ce80ff8dl },
0 },
/* 44 */
{ { 0xafbea8d9207bbb76l,0x921c7e7c21782758l,0xdfa2b74b1c0436b1l,
0x871949062e368c04l },
{ 0xb5f928bba3993df5l,0x639d75b5f3b3d26al,0x011aa78a85b55050l,
0xfc315e6a5b74fde1l },
0 },
/* 45 */
{ { 0x561fd41ae8d6ecfal,0x5f8c44f61aec7f86l,0x98452a7b4924741dl,
0xe6d4a7adee389088l },
{ 0x60552ed14593c75dl,0x70a70da4dd271162l,0xd2aede937ba2c7dbl,
0x35dfaf9a9be2ae57l },
0 },
/* 46 */
{ { 0x6b956fcdaa736636l,0x09f51d97ae2cab7el,0xfb10bf410f349966l,
0x1da5c7d71c830d2bl },
{ 0x5c41e4833cce6825l,0x15ad118ff9573c3bl,0xa28552c7f23036b8l,
0x7077c0fddbf4b9d6l },
0 },
/* 47 */
{ { 0xbf63ff8d46b9661cl,0xa1dfd36b0d2cfd71l,0x0373e140a847f8f7l,
0x53a8632ee50efe44l },
{ 0x0976ff68696d8051l,0xdaec0c95c74f468al,0x62994dc35e4e26bdl,
0x028ca76d34e1fcc1l },
0 },
/* 48 */
{ { 0xd11d47dcfc9877eel,0xc8b36210801d0002l,0xd002c11754c260b6l,
0x04c17cd86962f046l },
{ 0x6d9bd094b0daddf5l,0xbea2357524ce55c0l,0x663356e672da03b5l,
0xf7ba4de9fed97474l },
0 },
/* 49 */
{ { 0xd0dbfa34ebe1263fl,0x5576373571ae7ce6l,0xd244055382a6f523l,
0xe31f960052131c41l },
{ 0xd1bb9216ea6b6ec6l,0x37a1d12e73c2fc44l,0xc10e7eac89d0a294l,
0xaa3a6259ce34d47bl },
0 },
/* 50 */
{ { 0xfbcf9df536f3dcd3l,0x6ceded50d2bf7360l,0x491710fadf504f5bl,
0x2398dd627e79daeel },
{ 0xcf4705a36d09569el,0xea0619bb5149f769l,0xff9c037735f6034cl,
0x5717f5b21c046210l },
0 },
/* 51 */
{ { 0x9fe229c921dd895el,0x8e51850040c28451l,0xfa13d2391d637ecdl,
0x660a2c560e3c28del },
{ 0x9cca88aed67fcbd0l,0xc84724780ea9f096l,0x32b2f48172e92b4dl,
0x624ee54c4f522453l },
0 },
/* 52 */
{ { 0x09549ce4d897ecccl,0x4d49d1d93f9880aal,0x723c2423043a7c20l,
0x4f392afb92bdfbc0l },
{ 0x6969f8fa7de44fd9l,0xb66cfbe457b32156l,0xdb2fa803368ebc3cl,
0x8a3e7977ccdb399cl },
0 },
/* 53 */
{ { 0xdde1881f06c4b125l,0xae34e300f6e3ca8cl,0xef6999de5c7a13e9l,
0x3888d02370c24404l },
{ 0x7628035644f91081l,0x3d9fcf615f015504l,0x1827edc8632cd36el,
0xa5e62e4718102336l },
0 },
/* 54 */
{ { 0x1a825ee32facd6c8l,0x699c635454bcbc66l,0x0ce3edf798df9931l,
0x2c4768e6466a5adcl },
{ 0xb346ff8c90a64bc9l,0x630a6020e4779f5cl,0xd949d064bc05e884l,
0x7b5e6441f9e652a0l },
0 },
/* 55 */
{ { 0x2169422c1d28444al,0xe996c5d8be136a39l,0x2387afe5fb0c7fcel,
0xb8af73cb0c8d744al },
{ 0x5fde83aa338b86fdl,0xfee3f158a58a5cffl,0xc9ee8f6f20ac9433l,
0xa036395f7f3f0895l },
0 },
/* 56 */
{ { 0x8c73c6bba10f7770l,0xa6f16d81a12a0e24l,0x100df68251bc2b9fl,
0x4be36b01875fb533l },
{ 0x9226086e9fb56dbbl,0x306fef8b07e7a4f8l,0xeeaccc0566d52f20l,
0x8cbc9a871bdc00c0l },
0 },
/* 57 */
{ { 0xe131895cc0dac4abl,0xa874a440712ff112l,0x6332ae7c6a1cee57l,
0x44e7553e0c0835f8l },
{ 0x6d503fff7734002dl,0x9d35cb8b0b34425cl,0x95f702760e8738b5l,
0x470a683a5eb8fc18l },
0 },
/* 58 */
{ { 0x81b761dc90513482l,0x0287202a01e9276al,0xcda441ee0ce73083l,
0x16410690c63dc6efl },
{ 0xf5034a066d06a2edl,0xdd4d7745189b100bl,0xd914ae72ab8218c9l,
0xd73479fd7abcbb4fl },
0 },
/* 59 */
{ { 0x7edefb165ad4c6e5l,0x262cf08f5b06d04dl,0x12ed5bb18575cb14l,
0x816469e30771666bl },
{ 0xd7ab9d79561e291el,0xeb9daf22c1de1661l,0xf49827eb135e0513l,
0x0a36dd23f0dd3f9cl },
0 },
/* 60 */
{ { 0x098d32c741d5533cl,0x7c5f5a9e8684628fl,0x39a228ade349bd11l,
0xe331dfd6fdbab118l },
{ 0x5100ab686bcc6ed8l,0x7160c3bdef7a260el,0x9063d9a7bce850d7l,
0xd3b4782a492e3389l },
0 },
/* 61 */
{ { 0xa149b6e8f3821f90l,0x92edd9ed66eb7aadl,0x0bb669531a013116l,
0x7281275a4c86a5bdl },
{ 0x503858f7d3ff47e5l,0x5e1616bc61016441l,0x62b0f11a7dfd9bb1l,
0x2c062e7ece145059l },
0 },
/* 62 */
{ { 0xa76f996f0159ac2el,0x281e7736cbdb2713l,0x2ad6d28808e46047l,
0x282a35f92c4e7ef1l },
{ 0x9c354b1ec0ce5cd2l,0xcf99efc91379c229l,0x992caf383e82c11el,
0xc71cd513554d2abdl },
0 },
/* 63 */
{ { 0x4885de9c09b578f4l,0x1884e258e3affa7al,0x8f76b1b759182f1fl,
0xc50f6740cf47f3a3l },
{ 0xa9c4adf3374b68eal,0xa406f32369965fe2l,0x2f86a22285a53050l,
0xb9ecb3a7212958dcl },
0 },
/* 64 */
{ { 0x56f8410ef4f8b16al,0x97241afec47b266al,0x0a406b8e6d9c87c1l,
0x803f3e02cd42ab1bl },
{ 0x7f0309a804dbec69l,0xa83b85f73bbad05fl,0xc6097273ad8e197fl,
0xc097440e5067adc1l },
0 },
/* 65 */
{ { 0x846a56f2c379ab34l,0xa8ee068b841df8d1l,0x20314459176c68efl,
0xf1af32d5915f1f30l },
{ 0x99c375315d75bd50l,0x837cffbaf72f67bcl,0x0613a41848d7723fl,
0x23d0f130e2d41c8bl },
0 },
/* 66 */
{ { 0x857ab6edf41500d9l,0x0d890ae5fcbeada8l,0x52fe864889725951l,
0xb0288dd6c0a3faddl },
{ 0x85320f30650bcb08l,0x71af6313695d6e16l,0x31f520a7b989aa76l,
0xffd3724ff408c8d2l },
0 },
/* 67 */
{ { 0x53968e64b458e6cbl,0x992dad20317a5d28l,0x3814ae0b7aa75f56l,
0xf5590f4ad78c26dfl },
{ 0x0fc24bd3cf0ba55al,0x0fc4724a0c778bael,0x1ce9864f683b674al,
0x18d6da54f6f74a20l },
0 },
/* 68 */
{ { 0xed93e225d5be5a2bl,0x6fe799835934f3c6l,0x4314092622626ffcl,
0x50bbb4d97990216al },
{ 0x378191c6e57ec63el,0x65422c40181dcdb2l,0x41a8099b0236e0f6l,
0x2b10011801fe49c3l },
0 },
/* 69 */
{ { 0xfc68b5c59b391593l,0xc385f5a2598270fcl,0x7144f3aad19adcbbl,
0xdd55899983fbae0cl },
{ 0x93b88b8e74b82ff4l,0xd2e03c4071e734c9l,0x9a7a9eaf43c0322al,
0xe6e4c551149d6041l },
0 },
/* 70 */
{ { 0x55f655bb1e9af288l,0x647e1a64f7ada931l,0x43697e4bcb2820e5l,
0x51e00db107ed56ffl },
{ 0x43d169b8771c327el,0x29cdb20b4a96c2adl,0xc07d51f53deb4779l,
0xe22f424149829177l },
0 },
/* 71 */
{ { 0xcd45e8f4635f1abbl,0x7edc0cb568538874l,0xc9472c1fb5a8034dl,
0xf709373d52dc48c9l },
{ 0x401966bba8af30d6l,0x95bf5f4af137b69cl,0x3966162a9361c47el,
0xbd52d288e7275b11l },
0 },
/* 72 */
{ { 0xab155c7a9c5fa877l,0x17dad6727d3a3d48l,0x43f43f9e73d189d8l,
0xa0d0f8e4c8aa77a6l },
{ 0x0bbeafd8cc94f92dl,0xd818c8be0c4ddb3al,0x22cc65f8b82eba14l,
0xa56c78c7946d6a00l },
0 },
/* 73 */
{ { 0x2962391b0dd09529l,0x803e0ea63daddfcfl,0x2c77351f5b5bf481l,
0xd8befdf8731a367al },
{ 0xab919d42fc0157f4l,0xf51caed7fec8e650l,0xcdf9cb4002d48b0al,
0x854a68a5ce9f6478l },
0 },
/* 74 */
{ { 0xdc35f67b63506ea5l,0x9286c489a4fe0d66l,0x3f101d3bfe95cd4dl,
0x5cacea0b98846a95l },
{ 0xa90df60c9ceac44dl,0x3db29af4354d1c3al,0x08dd3de8ad5dbabel,
0xe4982d1235e4efa9l },
0 },
/* 75 */
{ { 0x23104a22c34cd55el,0x58695bb32680d132l,0xfb345afa1fa1d943l,
0x8046b7f616b20499l },
{ 0xb533581e38e7d098l,0xd7f61e8df46f0b70l,0x30dea9ea44cb78c4l,
0xeb17ca7b9082af55l },
0 },
/* 76 */
{ { 0x1751b59876a145b9l,0xa5cf6b0fc1bc71ecl,0xd3e03565392715bbl,
0x097b00bafab5e131l },
{ 0xaa66c8e9565f69e1l,0x77e8f75ab5be5199l,0x6033ba11da4fd984l,
0xf95c747bafdbcc9el },
0 },
/* 77 */
{ { 0x558f01d3bebae45el,0xa8ebe9f0c4bc6955l,0xaeb705b1dbc64fc6l,
0x3512601e566ed837l },
{ 0x9336f1e1fa1161cdl,0x328ab8d54c65ef87l,0x4757eee2724f21e5l,
0x0ef971236068ab6bl },
0 },
/* 78 */
{ { 0x02598cf754ca4226l,0x5eede138f8642c8el,0x48963f74468e1790l,
0xfc16d9333b4fbc95l },
{ 0xbe96fb31e7c800cal,0x138063312678adaal,0x3d6244976ff3e8b5l,
0x14ca4af1b95d7a17l },
0 },
/* 79 */
{ { 0x7a4771babd2f81d5l,0x1a5f9d6901f7d196l,0xd898bef7cad9c907l,
0x4057b063f59c231dl },
{ 0xbffd82fe89c05c0al,0xe4911c6f1dc0df85l,0x3befccaea35a16dbl,
0x1c3b5d64f1330b13l },
0 },
/* 80 */
{ { 0x5fe14bfe80ec21fel,0xf6ce116ac255be82l,0x98bc5a072f4a5d67l,
0xfad27148db7e63afl },
{ 0x90c0b6ac29ab05b3l,0x37a9a83c4e251ae6l,0x0a7dc875c2aade7dl,
0x77387de39f0e1a84l },
0 },
/* 81 */
{ { 0x1e9ecc49a56c0dd7l,0xa5cffcd846086c74l,0x8f7a1408f505aecel,
0xb37b85c0bef0c47el },
{ 0x3596b6e4cc0e6a8fl,0xfd6d4bbf6b388f23l,0xaba453fac39cef4el,
0x9c135ac8f9f628d5l },
0 },
/* 82 */
{ { 0x32aa320284e35743l,0x320d6ab185a3cdefl,0xb821b1761df19819l,
0x5721361fc433851fl },
{ 0x1f0db36a71fc9168l,0x5f98ba735e5c403cl,0xf64ca87e37bcd8f5l,
0xdcbac3c9e6bb11bdl },
0 },
/* 83 */
{ { 0xf01d99684518cbe2l,0xd242fc189c9eb04el,0x727663c7e47feebfl,
0xb8c1c89e2d626862l },
{ 0x51a58bddc8e1d569l,0x563809c8b7d88cd0l,0x26c27fd9f11f31ebl,
0x5d23bbda2f9422d4l },
0 },
/* 84 */
{ { 0x0a1c729495c8f8bel,0x2961c4803bf362bfl,0x9e418403df63d4acl,
0xc109f9cb91ece900l },
{ 0xc2d095d058945705l,0xb9083d96ddeb85c0l,0x84692b8d7a40449bl,
0x9bc3344f2eee1ee1l },
0 },
/* 85 */
{ { 0x0d5ae35642913074l,0x55491b2748a542b1l,0x469ca665b310732al,
0x29591d525f1a4cc1l },
{ 0xe76f5b6bb84f983fl,0xbe7eef419f5f84e1l,0x1200d49680baa189l,
0x6376551f18ef332cl },
0 },
/* 86 */
{ { 0xbda5f14e562976ccl,0x22bca3e60ef12c38l,0xbbfa30646cca9852l,
0xbdb79dc808e2987al },
{ 0xfd2cb5c9cb06a772l,0x38f475aafe536dcel,0xc2a3e0227c2b5db8l,
0x8ee86001add3c14al },
0 },
/* 87 */
{ { 0xcbe96981a4ade873l,0x7ee9aa4dc4fba48cl,0x2cee28995a054ba5l,
0x92e51d7a6f77aa4bl },
{ 0x948bafa87190a34dl,0xd698f75bf6bd1ed1l,0xd00ee6e30caf1144l,
0x5182f86f0a56aaaal },
0 },
/* 88 */
{ { 0xfba6212c7a4cc99cl,0xff609b683e6d9ca1l,0x5dbb27cb5ac98c5al,
0x91dcab5d4073a6f2l },
{ 0x01b6cc3d5f575a70l,0x0cb361396f8d87fal,0x165d4e8c89981736l,
0x17a0cedb97974f2bl },
0 },
/* 89 */
{ { 0x38861e2a076c8d3al,0x701aad39210f924bl,0x94d0eae413a835d9l,
0x2e8ce36c7f4cdf41l },
{ 0x91273dab037a862bl,0x01ba9bb760e4c8fal,0xf964538833baf2ddl,
0xf4ccc6cb34f668f3l },
0 },
/* 90 */
{ { 0x44ef525cf1f79687l,0x7c59549592efa815l,0xe1231741a5c78d29l,
0xac0db4889a0df3c9l },
{ 0x86bfc711df01747fl,0x592b9358ef17df13l,0xe5880e4f5ccb6bb5l,
0x95a64a6194c974a2l },
0 },
/* 91 */
{ { 0x72c1efdac15a4c93l,0x40269b7382585141l,0x6a8dfb1c16cb0badl,
0x231e54ba29210677l },
{ 0xa70df9178ae6d2dcl,0x4d6aa63f39112918l,0xf627726b5e5b7223l,
0xab0be032d8a731e1l },
0 },
/* 92 */
{ { 0x097ad0e98d131f2dl,0x637f09e33b04f101l,0x1ac86196d5e9a748l,
0xf1bcc8802cf6a679l },
{ 0x25c69140e8daacb4l,0x3c4e405560f65009l,0x591cc8fc477937a6l,
0x851694695aebb271l },
0 },
/* 93 */
{ { 0xde35c143f1dcf593l,0x78202b29b018be3bl,0xe9cdadc29bdd9d3dl,
0x8f67d9d2daad55d8l },
{ 0x841116567481ea5fl,0xe7d2dde9e34c590cl,0xffdd43f405053fa8l,
0xf84572b9c0728b5dl },
0 },
/* 94 */
{ { 0x5e1a7a7197af71c9l,0xa14494447a736565l,0xa1b4ae070e1d5063l,
0xedee2710616b2c19l },
{ 0xb2f034f511734121l,0x1cac6e554a25e9f0l,0x8dc148f3a40c2ecfl,
0x9fd27e9b44ebd7f4l },
0 },
/* 95 */
{ { 0x3cc7658af6e2cb16l,0xe3eb7d2cfe5919b6l,0x5a8c5816168d5583l,
0xa40c2fb6958ff387l },
{ 0x8c9ec560fedcc158l,0x7ad804c655f23056l,0xd93967049a307e12l,
0x99bc9bb87dc6decfl },
0 },
/* 96 */
{ { 0x84a9521d927dafc6l,0x52c1fb695c09cd19l,0x9d9581a0f9366ddel,
0x9abe210ba16d7e64l },
{ 0x480af84a48915220l,0xfa73176a4dd816c6l,0xc7d539871681ca5al,
0x7881c25787f344b0l },
0 },
/* 97 */
{ { 0x93399b51e0bcf3ffl,0x0d02cbc5127f74f6l,0x8fb465a2dd01d968l,
0x15e6e319a30e8940l },
{ 0x646d6e0d3e0e05f4l,0xfad7bddc43588404l,0xbe61c7d1c4f850d3l,
0x0e55facf191172cel },
0 },
/* 98 */
{ { 0x7e9d9806f8787564l,0x1a33172131e85ce6l,0x6b0158cab819e8d6l,
0xd73d09766fe96577l },
{ 0x424834251eb7206el,0xa519290fc618bb42l,0x5dcbb8595e30a520l,
0x9250a3748f15a50bl },
0 },
/* 99 */
{ { 0xcaff08f8be577410l,0xfd408a035077a8c6l,0xf1f63289ec0a63a4l,
0x77414082c1cc8c0bl },
{ 0x05a40fa6eb0991cdl,0xc1ca086649fdc296l,0x3a68a3c7b324fd40l,
0x8cb04f4d12eb20b9l },
0 },
/* 100 */
{ { 0xb1c2d0556906171cl,0x9073e9cdb0240c3fl,0xdb8e6b4fd8906841l,
0xe4e429ef47123b51l },
{ 0x0b8dd53c38ec36f4l,0xf9d2dc01ff4b6a27l,0x5d066e07879a9a48l,
0x37bca2ff3c6e6552l },
0 },
/* 101 */
{ { 0x4cd2e3c7df562470l,0x44f272a2c0964ac9l,0x7c6d5df980c793bel,
0x59913edc3002b22al },
{ 0x7a139a835750592al,0x99e01d80e783de02l,0xcf8c0375ea05d64fl,
0x43786e4ab013e226l },
0 },
/* 102 */
{ { 0xff32b0ed9e56b5a6l,0x0750d9a6d9fc68f9l,0xec15e845597846a7l,
0x8638ca98b7e79e7al },
{ 0x2f5ae0960afc24b2l,0x05398eaf4dace8f2l,0x3b765dd0aecba78fl,
0x1ecdd36a7b3aa6f0l },
0 },
/* 103 */
{ { 0x5d3acd626c5ff2f3l,0xa2d516c02873a978l,0xad94c9fad2110d54l,
0xd85d0f85d459f32dl },
{ 0x9f700b8d10b11da3l,0xd2c22c30a78318c4l,0x556988f49208decdl,
0xa04f19c3b4ed3c62l },
0 },
/* 104 */
{ { 0x087924c8ed7f93bdl,0xcb64ac5d392f51f6l,0x7cae330a821b71afl,
0x92b2eeea5c0950b0l },
{ 0x85ac4c9485b6e235l,0xab2ca4a92936c0f0l,0x80faa6b3e0508891l,
0x1ee782215834276cl },
0 },
/* 105 */
{ { 0xa60a2e00e63e79f7l,0xf590e7b2f399d906l,0x9021054a6607c09dl,
0xf3f2ced857a6e150l },
{ 0x200510f3f10d9b55l,0x9d2fcfacd8642648l,0xe5631aa7e8bd0e7cl,
0x0f56a4543da3e210l },
0 },
/* 106 */
{ { 0x5b21bffa1043e0dfl,0x6c74b6cc9c007e6dl,0x1a656ec0d4a8517al,
0xbd8f17411969e263l },
{ 0x8a9bbb86beb7494al,0x1567d46f45f3b838l,0xdf7a12a7a4e5a79al,
0x2d1a1c3530ccfa09l },
0 },
/* 107 */
{ { 0x192e3813506508dal,0x336180c4a1d795a7l,0xcddb59497a9944b3l,
0xa107a65eb91fba46l },
{ 0xe6d1d1c50f94d639l,0x8b4af3758a58b7d7l,0x1a7c5584bd37ca1cl,
0x183d760af87a9af2l },
0 },
/* 108 */
{ { 0x29d697110dde59a4l,0xf1ad8d070e8bef87l,0x229b49634f2ebe78l,
0x1d44179dc269d754l },
{ 0xb32dc0cf8390d30el,0x0a3b27530de8110cl,0x31af1dc52bc0339al,
0x771f9cc29606d262l },
0 },
/* 109 */
{ { 0x99993e7785040739l,0x44539db98026a939l,0xcf40f6f2f5f8fc26l,
0x64427a310362718el },
{ 0x4f4f2d8785428aa8l,0x7b7adc3febfb49a8l,0x201b2c6df23d01acl,
0x49d9b7496ae90d6dl },
0 },
/* 110 */
{ { 0xcc78d8bc435d1099l,0x2adbcd4e8e8d1a08l,0x02c2e2a02cb68a41l,
0x9037d81b3f605445l },
{ 0x7cdbac27074c7b61l,0xfe2031ab57bfd72el,0x61ccec96596d5352l,
0x08c3de6a7cc0639cl },
0 },
/* 111 */
{ { 0x20fdd020f6d552abl,0x56baff9805cd81f1l,0x06fb7c3e91351291l,
0xc690944245796b2fl },
{ 0x17b3ae9c41231bd1l,0x1eac6e875cc58205l,0x208837abf9d6a122l,
0x3fa3db02cafe3ac0l },
0 },
/* 112 */
{ { 0xd75a3e6505058880l,0x7da365ef643943f2l,0x4147861cfab24925l,
0xc5c4bdb0fdb808ffl },
{ 0x73513e34b272b56bl,0xc8327e9511b9043al,0xfd8ce37df8844969l,
0x2d56db9446c2b6b5l },
0 },
/* 113 */
{ { 0x2461782fff46ac6bl,0xd19f792607a2e425l,0xfafea3c409a48de1l,
0x0f56bd9de503ba42l },
{ 0x137d4ed1345cda49l,0x821158fc816f299dl,0xe7c6a54aaeb43402l,
0x4003bb9d1173b5f1l },
0 },
/* 114 */
{ { 0x3b8e8189a0803387l,0xece115f539cbd404l,0x4297208dd2877f21l,
0x53765522a07f2f9el },
{ 0xa4980a21a8a4182dl,0xa2bbd07a3219df79l,0x674d0a2e1a19a2d4l,
0x7a056f586c5d4549l },
0 },
/* 115 */
{ { 0x646b25589d8a2a47l,0x5b582948c3df2773l,0x51ec000eabf0d539l,
0x77d482f17a1a2675l },
{ 0xb8a1bd9587853948l,0xa6f817bd6cfbffeel,0xab6ec05780681e47l,
0x4115012b2b38b0e4l },
0 },
/* 116 */
{ { 0x3c73f0f46de28cedl,0x1d5da7609b13ec47l,0x61b8ce9e6e5c6392l,
0xcdf04572fbea0946l },
{ 0x1cb3c58b6c53c3b0l,0x97fe3c10447b843cl,0xfb2b8ae12cb9780el,
0xee703dda97383109l },
0 },
/* 117 */
{ { 0x34515140ff57e43al,0xd44660d3b1b811b8l,0x2b3b5dff8f42b986l,
0x2a0ad89da162ce21l },
{ 0x64e4a6946bc277bal,0xc788c954c141c276l,0x141aa64ccabf6274l,
0xd62d0b67ac2b4659l },
0 },
/* 118 */
{ { 0x39c5d87b2c054ac4l,0x57005859f27df788l,0xedf7cbf3b18128d6l,
0xb39a23f2991c2426l },
{ 0x95284a15f0b16ae5l,0x0c6a05b1a136f51bl,0x1d63c137f2700783l,
0x04ed0092c0674cc5l },
0 },
/* 119 */
{ { 0x1f4185d19ae90393l,0x3047b4294a3d64e6l,0xae0001a69854fc14l,
0xa0a91fc10177c387l },
{ 0xff0a3f01ae2c831el,0xbb76ae822b727e16l,0x8f12c8a15a3075b4l,
0x084cf9889ed20c41l },
0 },
/* 120 */
{ { 0xd98509defca6becfl,0x2fceae807dffb328l,0x5d8a15c44778e8b9l,
0xd57955b273abf77el },
{ 0x210da79e31b5d4f1l,0xaa52f04b3cfa7a1cl,0xd4d12089dc27c20bl,
0x8e14ea4202d141f1l },
0 },
/* 121 */
{ { 0xeed50345f2897042l,0x8d05331f43402c4al,0xc8d9c194c8bdfb21l,
0x597e1a372aa4d158l },
{ 0x0327ec1acf0bd68cl,0x6d4be0dcab024945l,0x5b9c8d7ac9fe3e84l,
0xca3f0236199b4deal },
0 },
/* 122 */
{ { 0x592a10b56170bd20l,0x0ea897f16d3f5de7l,0xa3363ff144b2ade2l,
0xbde7fd7e309c07e4l },
{ 0x516bb6d2b8f5432cl,0x210dc1cbe043444bl,0x3db01e6ff8f95b5al,
0xb623ad0e0a7dd198l },
0 },
/* 123 */
{ { 0xa75bd67560c7b65bl,0xab8c559023a4a289l,0xf8220fd0d7b26795l,
0xd6aa2e4658ec137bl },
{ 0x10abc00b5138bb85l,0x8c31d121d833a95cl,0xb24ff00b1702a32el,
0x111662e02dcc513al },
0 },
/* 124 */
{ { 0x78114015efb42b87l,0xbd9f5d701b6c4dffl,0x66ecccd7a7d7c129l,
0xdb3ee1cb94b750f8l },
{ 0xb26f3db0f34837cfl,0xe7eed18bb9578d4fl,0x5d2cdf937c56657dl,
0x886a644252206a59l },
0 },
/* 125 */
{ { 0x3c234cfb65b569eal,0x20011141f72119c1l,0x8badc85da15a619el,
0xa70cf4eb018a17bcl },
{ 0x224f97ae8c4a6a65l,0x36e5cf270134378fl,0xbe3a609e4f7e0960l,
0xaa4772abd1747b77l },
0 },
/* 126 */
{ { 0x676761317aa60cc0l,0xc79163610368115fl,0xded98bb4bbc1bb5al,
0x611a6ddc30faf974l },
{ 0x30e78cbcc15ee47al,0x2e8962824e0d96a5l,0x36f35adf3dd9ed88l,
0x5cfffaf816429c88l },
0 },
/* 127 */
{ { 0xc0d54cff9b7a99cdl,0x7bf3b99d843c45a1l,0x038a908f62c739e1l,
0x6e5a6b237dc1994cl },
{ 0xef8b454e0ba5db77l,0xb7b8807facf60d63l,0xe591c0c676608378l,
0x481a238d242dabccl },
0 },
/* 128 */
{ { 0xe3417bc035d0b34al,0x440b386b8327c0a7l,0x8fb7262dac0362d1l,
0x2c41114ce0cdf943l },
{ 0x2ba5cef1ad95a0b1l,0xc09b37a867d54362l,0x26d6cdd201e486c9l,
0x20477abf42ff9297l },
0 },
/* 129 */
{ { 0x2f75173c18d65dbfl,0x77bf940e339edad8l,0x7022d26bdcf1001cl,
0xac66409ac77396b6l },
{ 0x8b0bb36fc6261cc3l,0x213f7bc9190e7e90l,0x6541cebaa45e6c10l,
0xce8e6975cc122f85l },
0 },
/* 130 */
{ { 0x0f121b41bc0a67d2l,0x62d4760a444d248al,0x0e044f1d659b4737l,
0x08fde365250bb4a8l },
{ 0xaceec3da848bf287l,0xc2a62182d3369d6el,0x3582dfdc92449482l,
0x2f7e2fd2565d6cd7l },
0 },
/* 131 */
{ { 0xae4b92dbc3770fa7l,0x095e8d5c379043f9l,0x54f34e9d17761171l,
0xc65be92e907702ael },
{ 0x2758a303f6fd0a40l,0xe7d822e3bcce784bl,0x7ae4f5854f9767bfl,
0x4bff8e47d1193b3al },
0 },
/* 132 */
{ { 0xcd41d21f00ff1480l,0x2ab8fb7d0754db16l,0xac81d2efbbe0f3eal,
0x3e4e4ae65772967dl },
{ 0x7e18f36d3c5303e6l,0x3bd9994b92262397l,0x9ed70e261324c3c0l,
0x5388aefd58ec6028l },
0 },
/* 133 */
{ { 0xad1317eb5e5d7713l,0x09b985ee75de49dal,0x32f5bc4fc74fb261l,
0x5cf908d14f75be0el },
{ 0x760435108e657b12l,0xbfd421a5b96ed9e6l,0x0e29f51f8970ccc2l,
0xa698ba4060f00ce2l },
0 },
/* 134 */
{ { 0x73db1686ef748fecl,0xe6e755a27e9d2cf9l,0x630b6544ce265effl,
0xb142ef8a7aebad8dl },
{ 0xad31af9f17d5770al,0x66af3b672cb3412fl,0x6bd60d1bdf3359del,
0xd1896a9658515075l },
0 },
/* 135 */
{ { 0xec5957ab33c41c08l,0x87de94ac5468e2e1l,0x18816b73ac472f6cl,
0x267b0e0b7981da39l },
{ 0x6e554e5d8e62b988l,0xd8ddc755116d21e7l,0x4610faf03d2a6f99l,
0xb54e287aa1119393l },
0 },
/* 136 */
{ { 0x0a0122b5178a876bl,0x51ff96ff085104b4l,0x050b31ab14f29f76l,
0x84abb28b5f87d4e6l },
{ 0xd5ed439f8270790al,0x2d6cb59d85e3f46bl,0x75f55c1b6c1e2212l,
0xe5436f6717655640l },
0 },
/* 137 */
{ { 0x53f9025e2286e8d5l,0x353c95b4864453bel,0xd832f5bde408e3a0l,
0x0404f68b5b9ce99el },
{ 0xcad33bdea781e8e5l,0x3cdf5018163c2f5bl,0x575769600119caa3l,
0x3a4263df0ac1c701l },
0 },
/* 138 */
{ { 0xc2965ecc9aeb596dl,0x01ea03e7023c92b4l,0x4704b4b62e013961l,
0x0ca8fd3f905ea367l },
{ 0x92523a42551b2b61l,0x1eb7a89c390fcd06l,0xe7f1d2be0392a63el,
0x96dca2644ddb0c33l },
0 },
/* 139 */
{ { 0x203bb43a387510afl,0x846feaa8a9a36a01l,0xd23a57702f950378l,
0x4363e2123aad59dcl },
{ 0xca43a1c740246a47l,0xb362b8d2e55dd24dl,0xf9b086045d8faf96l,
0x840e115cd8bb98c4l },
0 },
/* 140 */
{ { 0xf12205e21023e8a7l,0xc808a8cdd8dc7a0bl,0xe292a272163a5ddfl,
0x5e0d6abd30ded6d4l },
{ 0x07a721c27cfc0f64l,0x42eec01d0e55ed88l,0x26a7bef91d1f9db2l,
0x7dea48f42945a25al },
0 },
/* 141 */
{ { 0xabdf6f1ce5060a81l,0xe79f9c72f8f95615l,0xcfd36c5406ac268bl,
0xabc2a2beebfd16d1l },
{ 0x8ac66f91d3e2eac7l,0x6f10ba63d2dd0466l,0x6790e3770282d31bl,
0x4ea353946c7eefc1l },
0 },
/* 142 */
{ { 0xed8a2f8d5266309dl,0x0a51c6c081945a3el,0xcecaf45a578c5dc1l,
0x3a76e6891c94ffc3l },
{ 0x9aace8a47d7b0d0fl,0x963ace968f584a5fl,0x51a30c724e697fbel,
0x8212a10a465e6464l },
0 },
/* 143 */
{ { 0xef7c61c3cfab8caal,0x18eb8e840e142390l,0xcd1dff677e9733cal,
0xaa7cab71599cb164l },
{ 0x02fc9273bc837bd1l,0xc06407d0c36af5d7l,0x17621292f423da49l,
0x40e38073fe0617c3l },
0 },
/* 144 */
{ { 0xf4f80824a7bf9b7cl,0x365d23203fbe30d0l,0xbfbe532097cf9ce3l,
0xe3604700b3055526l },
{ 0x4dcb99116cc6c2c7l,0x72683708ba4cbee6l,0xdcded434637ad9ecl,
0x6542d677a3dee15fl },
0 },
/* 145 */
{ { 0x3f32b6d07b6c377al,0x6cb03847903448bel,0xd6fdd3a820da8af7l,
0xa6534aee09bb6f21l },
{ 0x30a1780d1035facfl,0x35e55a339dcb47e6l,0x6ea50fe1c447f393l,
0xf3cb672fdc9aef22l },
0 },
/* 146 */
{ { 0xeb3719fe3b55fd83l,0xe0d7a46c875ddd10l,0x33ac9fa905cea784l,
0x7cafaa2eaae870e7l },
{ 0x9b814d041d53b338l,0xe0acc0a0ef87e6c6l,0xfb93d10811672b0fl,
0x0aab13c1b9bd522el },
0 },
/* 147 */
{ { 0xddcce278d2681297l,0xcb350eb1b509546al,0x2dc431737661aaf2l,
0x4b91a602847012e9l },
{ 0xdcff109572f8ddcfl,0x08ebf61e9a911af4l,0x48f4360ac372430el,
0x49534c5372321cabl },
0 },
/* 148 */
{ { 0x83df7d71f07b7e9dl,0xa478efa313cd516fl,0x78ef264b6c047ee3l,
0xcaf46c4fd65ac5eel },
{ 0xa04d0c7792aa8266l,0xedf45466913684bbl,0x56e65168ae4b16b0l,
0x14ce9e5704c6770fl },
0 },
/* 149 */
{ { 0x99445e3e965e8f91l,0xd3aca1bacb0f2492l,0xd31cc70f90c8a0a0l,
0x1bb708a53e4c9a71l },
{ 0xd5ca9e69558bdd7al,0x734a0508018a26b1l,0xb093aa714c9cf1ecl,
0xf9d126f2da300102l },
0 },
/* 150 */
{ { 0x749bca7aaff9563el,0xdd077afeb49914a0l,0xe27a0311bf5f1671l,
0x807afcb9729ecc69l },
{ 0x7f8a9337c9b08b77l,0x86c3a785443c7e38l,0x85fafa59476fd8bal,
0x751adcd16568cd8cl },
0 },
/* 151 */
{ { 0x8aea38b410715c0dl,0xd113ea718f7697f7l,0x665eab1493fbf06dl,
0x29ec44682537743fl },
{ 0x3d94719cb50bebbcl,0x399ee5bfe4505422l,0x90cd5b3a8d2dedb1l,
0xff9370e392a4077dl },
0 },
/* 152 */
{ { 0x59a2d69bc6b75b65l,0x4188f8d5266651c5l,0x28a9f33e3de9d7d2l,
0x9776478ba2a9d01al },
{ 0x8852622d929af2c7l,0x334f5d6d4e690923l,0xce6cc7e5a89a51e9l,
0x74a6313fac2f82fal },
0 },
/* 153 */
{ { 0xb2f4dfddb75f079cl,0x85b07c9518e36fbbl,0x1b6cfcf0e7cd36ddl,
0xab75be150ff4863dl },
{ 0x81b367c0173fc9b7l,0xb90a7420d2594fd0l,0x15fdbf03c4091236l,
0x4ebeac2e0b4459f6l },
0 },
/* 154 */
{ { 0xeb6c5fe75c9f2c53l,0xd25220118eae9411l,0xc8887633f95ac5d8l,
0xdf99887b2c1baffcl },
{ 0xbb78eed2850aaecbl,0x9d49181b01d6a272l,0x978dd511b1cdbcacl,
0x27b040a7779f4058l },
0 },
/* 155 */
{ { 0x90405db7f73b2eb2l,0xe0df85088e1b2118l,0x501b71525962327el,
0xb393dd37e4cfa3f5l },
{ 0xa1230e7b3fd75165l,0xd66344c2bcd33554l,0x6c36f1be0f7b5022l,
0x09588c12d0463419l },
0 },
/* 156 */
{ { 0xe086093f02601c3bl,0xfb0252f8cf5c335fl,0x955cf280894aff28l,
0x81c879a9db9f648bl },
{ 0x040e687cc6f56c51l,0xfed471693f17618cl,0x44f88a419059353bl,
0xfa0d48f55fc11bc4l },
0 },
/* 157 */
{ { 0xbc6e1c9de1608e4dl,0x010dda113582822cl,0xf6b7ddc1157ec2d7l,
0x8ea0e156b6a367d6l },
{ 0xa354e02f2383b3b4l,0x69966b943f01f53cl,0x4ff6632b2de03ca5l,
0x3f5ab924fa00b5acl },
0 },
/* 158 */
{ { 0x337bb0d959739efbl,0xc751b0f4e7ebec0dl,0x2da52dd6411a67d1l,
0x8bc768872b74256el },
{ 0xa5be3b7282d3d253l,0xa9f679a1f58d779fl,0xa1cac168e16767bbl,
0xb386f19060fcf34fl },
0 },
/* 159 */
{ { 0x31f3c1352fedcfc2l,0x5396bf6262f8af0dl,0x9a02b4eae57288c2l,
0x4cb460f71b069c4dl },
{ 0xae67b4d35b8095eal,0x92bbf8596fc07603l,0xe1475f66b614a165l,
0x52c0d50895ef5223l },
0 },
/* 160 */
{ { 0x231c210e15339848l,0xe87a28e870778c8dl,0x9d1de6616956e170l,
0x4ac3c9382bb09c0bl },
{ 0x19be05516998987dl,0x8b2376c4ae09f4d6l,0x1de0b7651a3f933dl,
0x380d94c7e39705f4l },
0 },
/* 161 */
{ { 0x01a355aa81542e75l,0x96c724a1ee01b9b7l,0x6b3a2977624d7087l,
0x2ce3e171de2637afl },
{ 0xcfefeb49f5d5bc1al,0xa655607e2777e2b5l,0x4feaac2f9513756cl,
0x2e6cd8520b624e4dl },
0 },
/* 162 */
{ { 0x3685954b8c31c31dl,0x68533d005bf21a0cl,0x0bd7626e75c79ec9l,
0xca17754742c69d54l },
{ 0xcc6edafff6d2dbb2l,0xfd0d8cbd174a9d18l,0x875e8793aa4578e8l,
0xa976a7139cab2ce6l },
0 },
/* 163 */
{ { 0x0a651f1b93fb353dl,0xd75cab8b57fcfa72l,0xaa88cfa731b15281l,
0x8720a7170a1f4999l },
{ 0x8c3e8d37693e1b90l,0xd345dc0b16f6dfc3l,0x8ea8d00ab52a8742l,
0x9719ef29c769893cl },
0 },
/* 164 */
{ { 0x820eed8d58e35909l,0x9366d8dc33ddc116l,0xd7f999d06e205026l,
0xa5072976e15704c1l },
{ 0x002a37eac4e70b2el,0x84dcf6576890aa8al,0xcd71bf18645b2a5cl,
0x99389c9df7b77725l },
0 },
/* 165 */
{ { 0x238c08f27ada7a4bl,0x3abe9d03fd389366l,0x6b672e89766f512cl,
0xa88806aa202c82e4l },
{ 0x6602044ad380184el,0xa8cb78c4126a8b85l,0x79d670c0ad844f17l,
0x0043bffb4738dcfel },
0 },
/* 166 */
{ { 0x8d59b5dc36d5192el,0xacf885d34590b2afl,0x83566d0a11601781l,
0x52f3ef01ba6c4866l },
{ 0x3986732a0edcb64dl,0x0a482c238068379fl,0x16cbe5fa7040f309l,
0x3296bd899ef27e75l },
0 },
/* 167 */
{ { 0x476aba89454d81d7l,0x9eade7ef51eb9b3cl,0x619a21cd81c57986l,
0x3b90febfaee571e9l },
{ 0x9393023e5496f7cbl,0x55be41d87fb51bc4l,0x03f1dd4899beb5cel,
0x6e88069d9f810b18l },
0 },
/* 168 */
{ { 0xce37ab11b43ea1dbl,0x0a7ff1a95259d292l,0x851b02218f84f186l,
0xa7222beadefaad13l },
{ 0xa2ac78ec2b0a9144l,0x5a024051f2fa59c5l,0x91d1eca56147ce38l,
0xbe94d523bc2ac690l },
0 },
/* 169 */
{ { 0x72f4945e0b226ce7l,0xb8afd747967e8b70l,0xedea46f185a6c63el,
0x7782defe9be8c766l },
{ 0x760d2aa43db38626l,0x460ae78776f67ad1l,0x341b86fc54499cdbl,
0x03838567a2892e4bl },
0 },
/* 170 */
{ { 0x2d8daefd79ec1a0fl,0x3bbcd6fdceb39c97l,0xf5575ffc58f61a95l,
0xdbd986c4adf7b420l },
{ 0x81aa881415f39eb7l,0x6ee2fcf5b98d976cl,0x5465475dcf2f717dl,
0x8e24d3c46860bbd0l },
0 },
/* 171 */
{ { 0x749d8e549a587390l,0x12bb194f0cbec588l,0x46e07da4b25983c6l,
0x541a99c4407bafc8l },
{ 0xdb241692624c8842l,0x6044c12ad86c05ffl,0xc59d14b44f7fcf62l,
0xc0092c49f57d35d1l },
0 },
/* 172 */
{ { 0xd3cc75c3df2e61efl,0x7e8841c82e1b35cal,0xc62d30d1909f29f4l,
0x75e406347286944dl },
{ 0xe7d41fc5bbc237d0l,0xc9537bf0ec4f01c9l,0x91c51a16282bd534l,
0x5b7cb658c7848586l },
0 },
/* 173 */
{ { 0x964a70848a28ead1l,0x802dc508fd3b47f6l,0x9ae4bfd1767e5b39l,
0x7ae13eba8df097a1l },
{ 0xfd216ef8eadd384el,0x0361a2d9b6b2ff06l,0x204b98784bcdb5f3l,
0x787d8074e2a8e3fdl },
0 },
/* 174 */
{ { 0xc5e25d6b757fbb1cl,0xe47bddb2ca201debl,0x4a55e9a36d2233ffl,
0x5c2228199ef28484l },
{ 0x773d4a8588315250l,0x21b21a2b827097c1l,0xab7c4ea1def5d33fl,
0xe45d37abbaf0f2b0l },
0 },
/* 175 */
{ { 0xd2df1e3428511c8al,0xebb229c8bdca6cd3l,0x578a71a7627c39a7l,
0xed7bc12284dfb9d3l },
{ 0xcf22a6df93dea561l,0x5443f18dd48f0ed1l,0xd8b861405bad23e8l,
0xaac97cc945ca6d27l },
0 },
/* 176 */
{ { 0xeb54ea74a16bd00al,0xd839e9adf5c0bcc1l,0x092bb7f11f9bfc06l,
0x318f97b31163dc4el },
{ 0xecc0c5bec30d7138l,0x44e8df23abc30220l,0x2bb7972fb0223606l,
0xfa41faa19a84ff4dl },
0 },
/* 177 */
{ { 0x4402d974a6642269l,0xc81814ce9bb783bdl,0x398d38e47941e60bl,
0x38bb6b2c1d26e9e2l },
{ 0xc64e4a256a577f87l,0x8b52d253dc11fe1cl,0xff336abf62280728l,
0x94dd0905ce7601a5l },
0 },
/* 178 */
{ { 0x156cf7dcde93f92al,0xa01333cb89b5f315l,0x02404df9c995e750l,
0x92077867d25c2ae9l },
{ 0xe2471e010bf39d44l,0x5f2c902096bb53d7l,0x4c44b7b35c9c3d8fl,
0x81e8428bd29beb51l },
0 },
/* 179 */
{ { 0x6dd9c2bac477199fl,0x8cb8eeee6b5ecdd9l,0x8af7db3fee40fd0el,
0x1b94ab62dbbfa4b1l },
{ 0x44f0d8b3ce47f143l,0x51e623fc63f46163l,0xf18f270fcc599383l,
0x06a38e28055590eel },
0 },
/* 180 */
{ { 0x2e5b0139b3355b49l,0x20e26560b4ebf99bl,0xc08ffa6bd269f3dcl,
0xa7b36c2083d9d4f8l },
{ 0x64d15c3a1b3e8830l,0xd5fceae1a89f9c0bl,0xcfeee4a2e2d16930l,
0xbe54c6b4a2822a20l },
0 },
/* 181 */
{ { 0xd6cdb3df8d91167cl,0x517c3f79e7a6625el,0x7105648f346ac7f4l,
0xbf30a5abeae022bbl },
{ 0x8e7785be93828a68l,0x5161c3327f3ef036l,0xe11b5feb592146b2l,
0xd1c820de2732d13al },
0 },
/* 182 */
{ { 0x043e13479038b363l,0x58c11f546b05e519l,0x4fe57abe6026cad1l,
0xb7d17bed68a18da3l },
{ 0x44ca5891e29c2559l,0x4f7a03765bfffd84l,0x498de4af74e46948l,
0x3997fd5e6412cc64l },
0 },
/* 183 */
{ { 0xf20746828bd61507l,0x29e132d534a64d2al,0xffeddfb08a8a15e3l,
0x0eeb89293c6c13e8l },
{ 0xe9b69a3ea7e259f8l,0xce1db7e6d13e7e67l,0x277318f6ad1fa685l,
0x228916f8c922b6efl },
0 },
/* 184 */
{ { 0x959ae25b0a12ab5bl,0xcc11171f957bc136l,0x8058429ed16e2b0cl,
0xec05ad1d6e93097el },
{ 0x157ba5beac3f3708l,0x31baf93530b59d77l,0x47b55237118234e5l,
0x7d3141567ff11b37l },
0 },
/* 185 */
{ { 0x7bd9c05cf6dfefabl,0xbe2f2268dcb37707l,0xe53ead973a38bb95l,
0xe9ce66fc9bc1d7a3l },
{ 0x75aa15766f6a02a1l,0x38c087df60e600edl,0xf8947f3468cdc1b9l,
0xd9650b0172280651l },
0 },
/* 186 */
{ { 0x504b4c4a5a057e60l,0xcbccc3be8def25e4l,0xa635320817c1ccbdl,
0x14d6699a804eb7a2l },
{ 0x2c8a8415db1f411al,0x09fbaf0bf80d769cl,0xb4deef901c2f77adl,
0x6f4c68410d43598al },
0 },
/* 187 */
{ { 0x8726df4e96c24a96l,0x534dbc85fcbd99a3l,0x3c466ef28b2ae30al,
0x4c4350fd61189abbl },
{ 0x2967f716f855b8dal,0x41a42394463c38a1l,0xc37e1413eae93343l,
0xa726d2425a3118b5l },
0 },
/* 188 */
{ { 0xdae6b3ee948c1086l,0xf1de503dcbd3a2e1l,0x3f35ed3f03d022f3l,
0x13639e82cc6cf392l },
{ 0x9ac938fbcdafaa86l,0xf45bc5fb2654a258l,0x1963b26e45051329l,
0xca9365e1c1a335a3l },
0 },
/* 189 */
{ { 0x3615ac754c3b2d20l,0x742a5417904e241bl,0xb08521c4cc9d071dl,
0x9ce29c34970b72a5l },
{ 0x8cc81f736d3e0ad6l,0x8060da9ef2f8434cl,0x35ed1d1a6ce862d9l,
0x48c4abd7ab42af98l },
0 },
/* 190 */
{ { 0xd221b0cc40c7485al,0xead455bbe5274dbfl,0x493c76989263d2e8l,
0x78017c32f67b33cbl },
{ 0xb9d35769930cb5eel,0xc0d14e940c408ed2l,0xf8b7bf55272f1a4dl,
0x53cd0454de5c1c04l },
0 },
/* 191 */
{ { 0xbcd585fa5d28ccacl,0x5f823e56005b746el,0x7c79f0a1cd0123aal,
0xeea465c1d3d7fa8fl },
{ 0x7810659f0551803bl,0x6c0b599f7ce6af70l,0x4195a77029288e70l,
0x1b6e42a47ae69193l },
0 },
/* 192 */
{ { 0x2e80937cf67d04c3l,0x1e312be289eeb811l,0x56b5d88792594d60l,
0x0224da14187fbd3dl },
{ 0x87abb8630c5fe36fl,0x580f3c604ef51f5fl,0x964fb1bfb3b429ecl,
0x60838ef042bfff33l },
0 },
/* 193 */
{ { 0x432cb2f27e0bbe99l,0x7bda44f304aa39eel,0x5f497c7a9fa93903l,
0x636eb2022d331643l },
{ 0xfcfd0e6193ae00aal,0x875a00fe31ae6d2fl,0xf43658a29f93901cl,
0x8844eeb639218bacl },
0 },
/* 194 */
{ { 0x114171d26b3bae58l,0x7db3df7117e39f3el,0xcd37bc7f81a8eadal,
0x27ba83dc51fb789el },
{ 0xa7df439ffbf54de5l,0x7277030bb5fe1a71l,0x42ee8e35db297a48l,
0xadb62d3487f3a4abl },
0 },
/* 195 */
{ { 0x9b1168a2a175df2al,0x082aa04f618c32e9l,0xc9e4f2e7146b0916l,
0xb990fd7675e7c8b2l },
{ 0x0829d96b4df37313l,0x1c205579d0b40789l,0x66c9ae4a78087711l,
0x81707ef94d10d18dl },
0 },
/* 196 */
{ { 0x97d7cab203d6ff96l,0x5b851bfc0d843360l,0x268823c4d042db4bl,
0x3792daead5a8aa5cl },
{ 0x52818865941afa0bl,0xf3e9e74142d83671l,0x17c825275be4e0a7l,
0x5abd635e94b001bal },
0 },
/* 197 */
{ { 0x727fa84e0ac4927cl,0xe3886035a7c8cf23l,0xa4bcd5ea4adca0dfl,
0x5995bf21846ab610l },
{ 0xe90f860b829dfa33l,0xcaafe2ae958fc18bl,0x9b3baf4478630366l,
0x44c32ca2d483411el },
0 },
/* 198 */
{ { 0xa74a97f1e40ed80cl,0x5f938cb131d2ca82l,0x53f2124b7c2d6ad9l,
0x1f2162fb8082a54cl },
{ 0x7e467cc5720b173el,0x40e8a666085f12f9l,0x8cebc20e4c9d65dcl,
0x8f1d402bc3e907c9l },
0 },
/* 199 */
{ { 0x4f592f9cfbc4058al,0xb15e14b6292f5670l,0xc55cfe37bc1d8c57l,
0xb1980f43926edbf9l },
{ 0x98c33e0932c76b09l,0x1df5279d33b07f78l,0x6f08ead4863bb461l,
0x2828ad9b37448e45l },
0 },
/* 200 */
{ { 0x696722c4c4cf4ac5l,0xf5ac1a3fdde64afbl,0x0551baa2e0890832l,
0x4973f1275a14b390l },
{ 0xe59d8335322eac5dl,0x5e07eef50bd9b568l,0xab36720fa2588393l,
0x6dac8ed0db168ac7l },
0 },
/* 201 */
{ { 0xf7b545aeeda835efl,0x4aa113d21d10ed51l,0x035a65e013741b09l,
0x4b23ef5920b9de4cl },
{ 0xe82bb6803c4c7341l,0xd457706d3f58bc37l,0x73527863a51e3ee8l,
0x4dd71534ddf49a4el },
0 },
/* 202 */
{ { 0xbf94467295476cd9l,0x648d072fe31a725bl,0x1441c8b8fc4b67e0l,
0xfd3170002f4a4dbbl },
{ 0x1cb43ff48995d0e1l,0x76e695d10ef729aal,0xe0d5f97641798982l,
0x14fac58c9569f365l },
0 },
/* 203 */
{ { 0xad9a0065f312ae18l,0x51958dc0fcc93fc9l,0xd9a142408a7d2846l,
0xed7c765136abda50l },
{ 0x46270f1a25d4abbcl,0x9b5dd8f3f1a113eal,0xc609b0755b51952fl,
0xfefcb7f74d2e9f53l },
0 },
/* 204 */
{ { 0xbd09497aba119185l,0xd54e8c30aac45ba4l,0x492479deaa521179l,
0x1801a57e87e0d80bl },
{ 0x073d3f8dfcafffb0l,0x6cf33c0bae255240l,0x781d763b5b5fdfbcl,
0x9f8fc11e1ead1064l },
0 },
/* 205 */
{ { 0x1583a1715e69544cl,0x0eaf8567f04b7813l,0x1e22a8fd278a4c32l,
0xa9d3809d3d3a69a9l },
{ 0x936c2c2c59a2da3bl,0x38ccbcf61895c847l,0x5e65244e63d50869l,
0x3006b9aee1178ef7l },
0 },
/* 206 */
{ { 0x0bb1f2b0c9eead28l,0x7eef635d89f4dfbcl,0x074757fdb2ce8939l,
0x0ab85fd745f8f761l },
{ 0xecda7c933e5b4549l,0x4be2bb5c97922f21l,0x261a1274b43b8040l,
0xb122d67511e942c2l },
0 },
/* 207 */
{ { 0x3be607be66a5ae7al,0x01e703fa76adcbe3l,0xaf9043014eb6e5c5l,
0x9f599dc1097dbaecl },
{ 0x6d75b7180ff250edl,0x8eb91574349a20dcl,0x425605a410b227a3l,
0x7d5528e08a294b78l },
0 },
/* 208 */
{ { 0xf0f58f6620c26defl,0x025585ea582b2d1el,0xfbe7d79b01ce3881l,
0x28ccea01303f1730l },
{ 0xd1dabcd179644ba5l,0x1fc643e806fff0b8l,0xa60a76fc66b3e17bl,
0xc18baf48a1d013bfl },
0 },
/* 209 */
{ { 0x34e638c85dc4216dl,0x00c01067206142acl,0xd453a17195f5064al,
0x9def809db7a9596bl },
{ 0x41e8642e67ab8d2cl,0xb42404336237a2b6l,0x7d506a6d64c4218bl,
0x0357f8b068808ce5l },
0 },
/* 210 */
{ { 0x8e9dbe644cd2cc88l,0xcc61c28df0b8f39dl,0x4a309874cd30a0c8l,
0xe4a01add1b489887l },
{ 0x2ed1eeacf57cd8f9l,0x1b767d3ebd594c48l,0xa7295c717bd2f787l,
0x466d7d79ce10cc30l },
0 },
/* 211 */
{ { 0x47d318929dada2c7l,0x4fa0a6c38f9aa27dl,0x90e4fd28820a59e1l,
0xc672a522451ead1al },
{ 0x30607cc85d86b655l,0xf0235d3bf9ad4af1l,0x99a08680571172a6l,
0x5e3d64faf2a67513l },
0 },
/* 212 */
{ { 0xaa6410c79b3b4416l,0xcd8fcf85eab26d99l,0x5ebff74adb656a74l,
0x6c8a7a95eb8e42fcl },
{ 0x10c60ba7b02a63bdl,0x6b2f23038b8f0047l,0x8c6c3738312d90b0l,
0x348ae422ad82ca91l },
0 },
/* 213 */
{ { 0x7f4746635ccda2fbl,0x22accaa18e0726d2l,0x85adf782492b1f20l,
0xc1074de0d9ef2d2el },
{ 0xfcf3ce44ae9a65b3l,0xfd71e4ac05d7151bl,0xd4711f50ce6a9788l,
0xfbadfbdbc9e54ffcl },
0 },
/* 214 */
{ { 0x1713f1cd20a99363l,0xb915658f6cf22775l,0x968175cd24d359b2l,
0xb7f976b483716fcdl },
{ 0x5758e24d5d6dbf74l,0x8d23bafd71c3af36l,0x48f477600243dfe3l,
0xf4d41b2ecafcc805l },
0 },
/* 215 */
{ { 0x51f1cf28fdabd48dl,0xce81be3632c078a4l,0x6ace2974117146e9l,
0x180824eae0160f10l },
{ 0x0387698b66e58358l,0x63568752ce6ca358l,0x82380e345e41e6c5l,
0x67e5f63983cf6d25l },
0 },
/* 216 */
{ { 0xf89ccb8dcf4899efl,0x949015f09ebb44c0l,0x546f9276b2598ec9l,
0x9fef789a04c11fc6l },
{ 0x6d367ecf53d2a071l,0xb10e1a7fa4519b09l,0xca6b3fb0611e2eefl,
0xbc80c181a99c4e20l },
0 },
/* 217 */
{ { 0x972536f8e5eb82e6l,0x1a484fc7f56cb920l,0xc78e217150b5da5el,
0x49270e629f8cdf10l },
{ 0x1a39b7bbea6b50adl,0x9a0284c1a2388ffcl,0x5403eb178107197bl,
0xd2ee52f961372f7fl },
0 },
/* 218 */
{ { 0xd37cd28588e0362al,0x442fa8a78fa5d94dl,0xaff836e5a434a526l,
0xdfb478bee5abb733l },
{ 0xa91f1ce7673eede6l,0xa5390ad42b5b2f04l,0x5e66f7bf5530da2fl,
0xd9a140b408df473al },
0 },
/* 219 */
{ { 0x0e0221b56e8ea498l,0x623478293563ee09l,0xe06b8391335d2adel,
0x760c058d623f4b1al },
{ 0x0b89b58cc198aa79l,0xf74890d2f07aba7fl,0x4e204110fde2556al,
0x7141982d8f190409l },
0 },
/* 220 */
{ { 0x6f0a0e334d4b0f45l,0xd9280b38392a94e1l,0x3af324c6b3c61d5el,
0x3af9d1ce89d54e47l },
{ 0xfd8f798120930371l,0xeda2664c21c17097l,0x0e9545dcdc42309bl,
0xb1f815c373957dd6l },
0 },
/* 221 */
{ { 0x84faa78e89fec44al,0xc8c2ae473caa4cafl,0x691c807dc1b6a624l,
0xa41aed141543f052l },
{ 0x424353997d5ffe04l,0x8bacb2df625b6e20l,0x85d660be87817775l,
0xd6e9c1dd86fb60efl },
0 },
/* 222 */
{ { 0x3aa2e97ec6853264l,0x771533b7e2304a0bl,0x1b912bb7b8eae9bel,
0x9c9c6e10ae9bf8c2l },
{ 0xa2309a59e030b74cl,0x4ed7494d6a631e90l,0x89f44b23a49b79f2l,
0x566bd59640fa61b6l },
0 },
/* 223 */
{ { 0x066c0118c18061f3l,0x190b25d37c83fc70l,0xf05fc8e027273245l,
0xcf2c7390f525345el },
{ 0xa09bceb410eb30cfl,0xcfd2ebba0d77703al,0xe842c43a150ff255l,
0x02f517558aa20979l },
0 },
/* 224 */
{ { 0x396ef794addb7d07l,0x0b4fc74224455500l,0xfaff8eacc78aa3cel,
0x14e9ada5e8d4d97dl },
{ 0xdaa480a12f7079e2l,0x45baa3cde4b0800el,0x01765e2d7838157dl,
0xa0ad4fab8e9d9ae8l },
0 },
/* 225 */
{ { 0x0bfb76214a653618l,0x1872813c31eaaa5fl,0x1553e73744949d5el,
0xbcd530b86e56ed1el },
{ 0x169be85332e9c47bl,0xdc2776feb50059abl,0xcdba9761192bfbb4l,
0x909283cf6979341dl },
0 },
/* 226 */
{ { 0x67b0032476e81a13l,0x9bee1a9962171239l,0x08ed361bd32e19d6l,
0x35eeb7c9ace1549al },
{ 0x1280ae5a7e4e5bdcl,0x2dcd2cd3b6ceec6el,0x52e4224c6e266bc1l,
0x9a8b2cf4448ae864l },
0 },
/* 227 */
{ { 0xf6471bf209d03b59l,0xc90e62a3b65af2abl,0xff7ff168ebd5eec9l,
0x6bdb60f4d4491379l },
{ 0xdadafebc8a55bc30l,0xc79ead1610097fe0l,0x42e197414c1e3bddl,
0x01ec3cfd94ba08a9l },
0 },
/* 228 */
{ { 0xba6277ebdc9485c2l,0x48cc9a7922fb10c7l,0x4f61d60f70a28d8al,
0xd1acb1c0475464f6l },
{ 0xd26902b126f36612l,0x59c3a44ee0618d8bl,0x4df8a813308357eel,
0x7dcd079d405626c2l },
0 },
/* 229 */
{ { 0x5ce7d4d3f05a4b48l,0xadcd295237230772l,0xd18f7971812a915al,
0x0bf53589377d19b8l },
{ 0x35ecd95a6c68ea73l,0xc7f3bbca823a584dl,0x9fb674c6f473a723l,
0xd28be4d9e16686fcl },
0 },
/* 230 */
{ { 0x5d2b990638fa8e4bl,0x559f186e893fd8fcl,0x3a6de2aa436fb6fcl,
0xd76007aa510f88cel },
{ 0x2d10aab6523a4988l,0xb455cf4474dd0273l,0x7f467082a3407278l,
0xf2b52f68b303bb01l },
0 },
/* 231 */
{ { 0x0d57eafa9835b4cal,0x2d2232fcbb669cbcl,0x8eeeb680c6643198l,
0xd8dbe98ecc5aed3al },
{ 0xcba9be3fc5a02709l,0x30be68e5f5ba1fa8l,0xfebd43cdf10ea852l,
0xe01593a3ee559705l },
0 },
/* 232 */
{ { 0xd3e5af50ea75a0a6l,0x512226ac57858033l,0x6fe6d50fd0176406l,
0xafec07b1aeb8ef06l },
{ 0x7fb9956780bb0a31l,0x6f1af3cc37309aael,0x9153a15a01abf389l,
0xa71b93546e2dbfddl },
0 },
/* 233 */
{ { 0xbf8e12e018f593d2l,0xd1a90428a078122bl,0x150505db0ba4f2adl,
0x53a2005c628523d9l },
{ 0x07c8b639e7f2b935l,0x2bff975ac182961al,0x86bceea77518ca2cl,
0xbf47d19b3d588e3dl },
0 },
/* 234 */
{ { 0x672967a7dd7665d5l,0x4e3030572f2f4de5l,0x144005ae80d4903fl,
0x001c2c7f39c9a1b6l },
{ 0x143a801469efc6d6l,0xc810bdaa7bc7a724l,0x5f65670ba78150a4l,
0xfdadf8e786ffb99bl },
0 },
/* 235 */
{ { 0xfd38cb88ffc00785l,0x77fa75913b48eb67l,0x0454d055bf368fbcl,
0x3a838e4d5aa43c94l },
{ 0x561663293e97bb9al,0x9eb93363441d94d9l,0x515591a60adb2a83l,
0x3cdb8257873e1da3l },
0 },
/* 236 */
{ { 0x137140a97de77eabl,0xf7e1c50d41648109l,0x762dcad2ceb1d0dfl,
0x5a60cc89f1f57fbal },
{ 0x80b3638240d45673l,0x1b82be195913c655l,0x057284b8dd64b741l,
0x922ff56fdbfd8fc0l },
0 },
/* 237 */
{ { 0x1b265deec9a129a1l,0xa5b1ce57cc284e04l,0x04380c46cebfbe3cl,
0x72919a7df6c5cd62l },
{ 0x298f453a8fb90f9al,0xd719c00b88e4031bl,0xe32c0e77796f1856l,
0x5e7917803624089al },
0 },
/* 238 */
{ { 0x5c16ec557f63cdfbl,0x8e6a3571f1cae4fdl,0xfce26bea560597cal,
0x4e0a5371e24c2fabl },
{ 0x276a40d3a5765357l,0x3c89af440d73a2b4l,0xb8f370ae41d11a32l,
0xf5ff7818d56604eel },
0 },
/* 239 */
{ { 0xfbf3e3fe1a09df21l,0x26d5d28ee66e8e47l,0x2096bd0a29c89015l,
0xe41df0e9533f5e64l },
{ 0x305fda40b3ba9e3fl,0xf2340ceb2604d895l,0x0866e1927f0367c7l,
0x8edd7d6eac4f155fl },
0 },
/* 240 */
{ { 0xc9a1dc0e0bfc8ff3l,0x14efd82be936f42fl,0x67016f7ccca381efl,
0x1432c1caed8aee96l },
{ 0xec68482970b23c26l,0xa64fe8730735b273l,0xe389f6e5eaef0f5al,
0xcaef480b5ac8d2c6l },
0 },
/* 241 */
{ { 0x5245c97875315922l,0xd82951713063cca5l,0xf3ce60d0b64ef2cbl,
0xd0ba177e8efae236l },
{ 0x53a9ae8fb1b3af60l,0x1a796ae53d2da20el,0x01d63605df9eef28l,
0xf31c957c1c54ae16l },
0 },
/* 242 */
{ { 0xc0f58d5249cc4597l,0xdc5015b0bae0a028l,0xefc5fc55734a814al,
0x013404cb96e17c3al },
{ 0xb29e2585c9a824bfl,0xd593185e001eaed7l,0x8d6ee68261ef68acl,
0x6f377c4b91933e6cl },
0 },
/* 243 */
{ { 0x9f93bad1a8333fd2l,0xa89302025a2a95b8l,0x211e5037eaf75acel,
0x6dba3e4ed2d09506l },
{ 0xa48ef98cd04399cdl,0x1811c66ee6b73adel,0x72f60752c17ecaf3l,
0xf13cf3423becf4a7l },
0 },
/* 244 */
{ { 0xceeb9ec0a919e2ebl,0x83a9a195f62c0f68l,0xcfba3bb67aba2299l,
0xc83fa9a9274bbad3l },
{ 0x0d7d1b0b62fa1ce0l,0xe58b60f53418efbfl,0xbfa8ef9e52706f04l,
0xb49d70f45d702683l },
0 },
/* 245 */
{ { 0x914c7510fad5513bl,0x05f32eecb1751e2dl,0x6d850418d9fb9d59l,
0x59cfadbb0c30f1cfl },
{ 0xe167ac2355cb7fd6l,0x249367b8820426a3l,0xeaeec58c90a78864l,
0x5babf362354a4b67l },
0 },
/* 246 */
{ { 0x37c981d1ee424865l,0x8b002878f2e5577fl,0x702970f1b9e0c058l,
0x6188c6a79026c8f0l },
{ 0x06f9a19bd0f244dal,0x1ecced5cfb080873l,0x35470f9b9f213637l,
0x993fe475df50b9d9l },
0 },
/* 247 */
{ { 0x68e31cdf9b2c3609l,0x84eb19c02c46d4eal,0x7ac9ec1a9a775101l,
0x81f764664c80616bl },
{ 0x1d7c2a5a75fbe978l,0x6743fed3f183b356l,0x838d1f04501dd2bfl,
0x564a812a5fe9060dl },
0 },
/* 248 */
{ { 0x7a5a64f4fa817d1dl,0x55f96844bea82e0fl,0xb5ff5a0fcd57f9aal,
0x226bf3cf00e51d6cl },
{ 0xd6d1a9f92f2833cfl,0x20a0a35a4f4f89a8l,0x11536c498f3f7f77l,
0x68779f47ff257836l },
0 },
/* 249 */
{ { 0x79b0c1c173043d08l,0xa54467741fc020fal,0xd3767e289a6d26d0l,
0x97bcb0d1eb092e0bl },
{ 0x2ab6eaa8f32ed3c3l,0xc8a4f151b281bc48l,0x4d1bf4f3bfa178f3l,
0xa872ffe80a784655l },
0 },
/* 250 */
{ { 0xb1ab7935a32b2086l,0xe1eb710e8160f486l,0x9bd0cd913b6ae6bel,
0x02812bfcb732a36al },
{ 0xa63fd7cacf605318l,0x646e5d50fdfd6d1dl,0xa1d683982102d619l,
0x07391cc9fe5396afl },
0 },
/* 251 */
{ { 0xc50157f08b80d02bl,0x6b8333d162877f7fl,0x7aca1af878d542ael,
0x355d2adc7e6d2a08l },
{ 0xb41f335a287386e1l,0xfd272a94f8e43275l,0x286ca2cde79989eal,
0x3dc2b1e37c2a3a79l },
0 },
/* 252 */
{ { 0xd689d21c04581352l,0x0a00c825376782bel,0x203bd5909fed701fl,
0xc47869103ccd846bl },
{ 0x5dba770824c768edl,0x72feea026841f657l,0x73313ed56accce0el,
0xccc42968d5bb4d32l },
0 },
/* 253 */
{ { 0x94e50de13d7620b9l,0xd89a5c8a5992a56al,0xdc007640675487c9l,
0xe147eb42aa4871cfl },
{ 0x274ab4eeacf3ae46l,0xfd4936fb50350fbel,0xdf2afe4748c840eal,
0x239ac047080e96e3l },
0 },
/* 254 */
{ { 0x481d1f352bfee8d4l,0xce80b5cffa7b0fecl,0x105c4c9e2ce9af3cl,
0xc55fa1a3f5f7e59dl },
{ 0x3186f14e8257c227l,0xc5b1653f342be00bl,0x09afc998aa904fb2l,
0x094cd99cd4f4b699l },
0 },
/* 255 */
{ { 0x8a981c84d703bebal,0x8631d15032ceb291l,0xa445f2c9e3bd49ecl,
0xb90a30b642abad33l },
{ 0xb465404fb4a5abf9l,0x004750c375db7603l,0x6f9a42ccca35d89fl,
0x019f8b9a1b7924f7l },
0 },
};
/* Multiply the base point of P256 by the scalar and return the result.
* If map is true then convert result to affine co-ordinates.
*
* r Resulting point.
* k Scalar to multiply by.
* map Indicates whether to convert result to affine.
* heap Heap to use for allocation.
* returns MEMORY_E when memory allocation fails and MP_OKAY on success.
*/
static int sp_256_ecc_mulmod_base_4(sp_point* r, sp_digit* k,
int map, void* heap)
{
return sp_256_ecc_mulmod_stripe_4(r, &p256_base, p256_table,
k, map, heap);
}
#else
/* A table entry for pre-computed points. */
typedef struct sp_table_entry_sum {
sp_digit x[4];
sp_digit y[4];
byte infinity;
} sp_table_entry_sum;
/* Table of pre-computed values for P256 with 3 multiples and width of 8 bits.
*/
static sp_table_entry_sum p256_table[33][58] = {
{
/* 0 << 0 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 0 */
{ { 0x79e730d418a9143cl,0x75ba95fc5fedb601l,0x79fb732b77622510l,
0x18905f76a53755c6l },
{ 0xddf25357ce95560al,0x8b4ab8e4ba19e45cl,0xd2e88688dd21f325l,
0x8571ff1825885d85l },
0 },
/* 3 << 0 */
{ { 0xffac3f904eebc127l,0xb027f84a087d81fbl,0x66ad77dd87cbbc98l,
0x26936a3fb6ff747el },
{ 0xb04c5c1fc983a7ebl,0x583e47ad0861fe1al,0x788208311a2ee98el,
0xd5f06a29e587cc07l },
0 },
/* 4 << 0 */
{ { 0x74b0b50d46918dccl,0x4650a6edc623c173l,0x0cdaacace8100af2l,
0x577362f541b0176bl },
{ 0x2d96f24ce4cbaba6l,0x17628471fad6f447l,0x6b6c36dee5ddd22el,
0x84b14c394c5ab863l },
0 },
/* 5 << 0 */
{ { 0xbe1b8aaec45c61f5l,0x90ec649a94b9537dl,0x941cb5aad076c20cl,
0xc9079605890523c8l },
{ 0xeb309b4ae7ba4f10l,0x73c568efe5eb882bl,0x3540a9877e7a1f68l,
0x73a076bb2dd1e916l },
0 },
/* 7 << 0 */
{ { 0x0746354ea0173b4fl,0x2bd20213d23c00f7l,0xf43eaab50c23bb08l,
0x13ba5119c3123e03l },
{ 0x2847d0303f5b9d4dl,0x6742f2f25da67bddl,0xef933bdc77c94195l,
0xeaedd9156e240867l },
0 },
/* 9 << 0 */
{ { 0x75c96e8f264e20e8l,0xabe6bfed59a7a841l,0x2cc09c0444c8eb00l,
0xe05b3080f0c4e16bl },
{ 0x1eb7777aa45f3314l,0x56af7bedce5d45e3l,0x2b6e019a88b12f1al,
0x086659cdfd835f9bl },
0 },
/* 10 << 0 */
{ { 0x2c18dbd19dc21ec8l,0x98f9868a0fcf8139l,0x737d2cd648250b49l,
0xcc61c94724b3428fl },
{ 0x0c2b407880dd9e76l,0xc43a8991383fbe08l,0x5f7d2d65779be5d2l,
0x78719a54eb3b4ab5l },
0 },
/* 11 << 0 */
{ { 0xea7d260a6245e404l,0x9de407956e7fdfe0l,0x1ff3a4158dac1ab5l,
0x3e7090f1649c9073l },
{ 0x1a7685612b944e88l,0x250f939ee57f61c8l,0x0c0daa891ead643dl,
0x68930023e125b88el },
0 },
/* 13 << 0 */
{ { 0xccc425634b2ed709l,0x0e356769856fd30dl,0xbcbcd43f559e9811l,
0x738477ac5395b759l },
{ 0x35752b90c00ee17fl,0x68748390742ed2e3l,0x7cd06422bd1f5bc1l,
0xfbc08769c9e7b797l },
0 },
/* 15 << 0 */
{ { 0x72bcd8b7bc60055bl,0x03cc23ee56e27e4bl,0xee337424e4819370l,
0xe2aa0e430ad3da09l },
{ 0x40b8524f6383c45dl,0xd766355442a41b25l,0x64efa6de778a4797l,
0x2042170a7079adf4l },
0 },
/* 16 << 0 */
{ { 0x808b0b650bc6fb80l,0x5882e0753ffe2e6bl,0xd5ef2f7c2c83f549l,
0x54d63c809103b723l },
{ 0xf2f11bd652a23f9bl,0x3670c3194b0b6587l,0x55c4623bb1580e9el,
0x64edf7b201efe220l },
0 },
/* 17 << 0 */
{ { 0x97091dcbd53c5c9dl,0xf17624b6ac0a177bl,0xb0f139752cfe2dffl,
0xc1a35c0a6c7a574el },
{ 0x227d314693e79987l,0x0575bf30e89cb80el,0x2f4e247f0d1883bbl,
0xebd512263274c3d0l },
0 },
/* 19 << 0 */
{ { 0xfea912baa5659ae8l,0x68363aba25e1a16el,0xb8842277752c41acl,
0xfe545c282897c3fcl },
{ 0x2d36e9e7dc4c696bl,0x5806244afba977c5l,0x85665e9be39508c1l,
0xf720ee256d12597bl },
0 },
/* 21 << 0 */
{ { 0x562e4cecc135b208l,0x74e1b2654783f47dl,0x6d2a506c5a3f3b30l,
0xecead9f4c16762fcl },
{ 0xf29dd4b2e286e5b9l,0x1b0fadc083bb3c61l,0x7a75023e7fac29a4l,
0xc086d5f1c9477fa3l },
0 },
/* 23 << 0 */
{ { 0xf4f876532de45068l,0x37c7a7e89e2e1f6el,0xd0825fa2a3584069l,
0xaf2cea7c1727bf42l },
{ 0x0360a4fb9e4785a9l,0xe5fda49c27299f4al,0x48068e1371ac2f71l,
0x83d0687b9077666fl },
0 },
/* 25 << 0 */
{ { 0xa4a319acd837879fl,0x6fc1b49eed6b67b0l,0xe395993332f1f3afl,
0x966742eb65432a2el },
{ 0x4b8dc9feb4966228l,0x96cc631243f43950l,0x12068859c9b731eel,
0x7b948dc356f79968l },
0 },
/* 27 << 0 */
{ { 0x042c2af497e2feb4l,0xd36a42d7aebf7313l,0x49d2c9eb084ffdd7l,
0x9f8aa54b2ef7c76al },
{ 0x9200b7ba09895e70l,0x3bd0c66fddb7fb58l,0x2d97d10878eb4cbbl,
0x2d431068d84bde31l },
0 },
/* 28 << 0 */
{ { 0x4b523eb7172ccd1fl,0x7323cb2830a6a892l,0x97082ec0cfe153ebl,
0xe97f6b6af2aadb97l },
{ 0x1d3d393ed1a83da1l,0xa6a7f9c7804b2a68l,0x4a688b482d0cb71el,
0xa9b4cc5f40585278l },
0 },
/* 29 << 0 */
{ { 0x5e5db46acb66e132l,0xf1be963a0d925880l,0x944a70270317b9e2l,
0xe266f95948603d48l },
{ 0x98db66735c208899l,0x90472447a2fb18a3l,0x8a966939777c619fl,
0x3798142a2a3be21bl },
0 },
/* 31 << 0 */
{ { 0xe2f73c696755ff89l,0xdd3cf7e7473017e6l,0x8ef5689d3cf7600dl,
0x948dc4f8b1fc87b4l },
{ 0xd9e9fe814ea53299l,0x2d921ca298eb6028l,0xfaecedfd0c9803fcl,
0xf38ae8914d7b4745l },
0 },
/* 33 << 0 */
{ { 0x871514560f664534l,0x85ceae7c4b68f103l,0xac09c4ae65578ab9l,
0x33ec6868f044b10cl },
{ 0x6ac4832b3a8ec1f1l,0x5509d1285847d5efl,0xf909604f763f1574l,
0xb16c4303c32f63c4l },
0 },
/* 34 << 0 */
{ { 0xb6ab20147ca23cd3l,0xcaa7a5c6a391849dl,0x5b0673a375678d94l,
0xc982ddd4dd303e64l },
{ 0xfd7b000b5db6f971l,0xbba2cb1f6f876f92l,0xc77332a33c569426l,
0xa159100c570d74f8l },
0 },
/* 35 << 0 */
{ { 0xfd16847fdec67ef5l,0x742ee464233e76b7l,0x0b8e4134efc2b4c8l,
0xca640b8642a3e521l },
{ 0x653a01908ceb6aa9l,0x313c300c547852d5l,0x24e4ab126b237af7l,
0x2ba901628bb47af8l },
0 },
/* 36 << 0 */
{ { 0x3d5e58d6a8219bb7l,0xc691d0bd1b06c57fl,0x0ae4cb10d257576el,
0x3569656cd54a3dc3l },
{ 0xe5ebaebd94cda03al,0x934e82d3162bfe13l,0x450ac0bae251a0c6l,
0x480b9e11dd6da526l },
0 },
/* 37 << 0 */
{ { 0x00467bc58cce08b5l,0xb636458c7f178d55l,0xc5748baea677d806l,
0x2763a387dfa394ebl },
{ 0xa12b448a7d3cebb6l,0xe7adda3e6f20d850l,0xf63ebce51558462cl,
0x58b36143620088a8l },
0 },
/* 39 << 0 */
{ { 0xa9d89488a059c142l,0x6f5ae714ff0b9346l,0x068f237d16fb3664l,
0x5853e4c4363186acl },
{ 0xe2d87d2363c52f98l,0x2ec4a76681828876l,0x47b864fae14e7b1cl,
0x0c0bc0e569192408l },
0 },
/* 40 << 0 */
{ { 0xe4d7681db82e9f3el,0x83200f0bdf25e13cl,0x8909984c66f27280l,
0x462d7b0075f73227l },
{ 0xd90ba188f2651798l,0x74c6e18c36ab1c34l,0xab256ea35ef54359l,
0x03466612d1aa702fl },
0 },
/* 41 << 0 */
{ { 0x624d60492ed22e91l,0x6fdfe0b56f072822l,0xeeca111539ce2271l,
0x98100a4fdb01614fl },
{ 0xb6b0daa2a35c628fl,0xb6f94d2ec87e9a47l,0xc67732591d57d9cel,
0xf70bfeec03884a7bl },
0 },
/* 43 << 0 */
{ { 0x4ff23ffd248a7d06l,0x80c5bfb4878873fal,0xb7d9ad9005745981l,
0x179c85db3db01994l },
{ 0xba41b06261a6966cl,0x4d82d052eadce5a8l,0x9e91cd3ba5e6a318l,
0x47795f4f95b2dda0l },
0 },
/* 44 << 0 */
{ { 0xecfd7c1fd55a897cl,0x009194abb29110fbl,0x5f0e2046e381d3b0l,
0x5f3425f6a98dd291l },
{ 0xbfa06687730d50dal,0x0423446c4b083b7fl,0x397a247dd69d3417l,
0xeb629f90387ba42al },
0 },
/* 45 << 0 */
{ { 0x1ee426ccd5cd79bfl,0x0032940b946c6e18l,0x1b1e8ae057477f58l,
0xe94f7d346d823278l },
{ 0xc747cb96782ba21al,0xc5254469f72b33a5l,0x772ef6dec7f80c81l,
0xd73acbfe2cd9e6b5l },
0 },
/* 46 << 0 */
{ { 0x4075b5b149ee90d9l,0x785c339aa06e9ebal,0xa1030d5babf825e0l,
0xcec684c3a42931dcl },
{ 0x42ab62c9c1586e63l,0x45431d665ab43f2bl,0x57c8b2c055f7835dl,
0x033da338c1b7f865l },
0 },
/* 47 << 0 */
{ { 0x283c7513caa76097l,0x0a624fa936c83906l,0x6b20afec715af2c7l,
0x4b969974eba78bfdl },
{ 0x220755ccd921d60el,0x9b944e107baeca13l,0x04819d515ded93d4l,
0x9bbff86e6dddfd27l },
0 },
/* 48 << 0 */
{ { 0x6b34413077adc612l,0xa7496529bbd803a0l,0x1a1baaa76d8805bdl,
0xc8403902470343adl },
{ 0x39f59f66175adff1l,0x0b26d7fbb7d8c5b7l,0xa875f5ce529d75e3l,
0x85efc7e941325cc2l },
0 },
/* 49 << 0 */
{ { 0x21950b421ff6acd3l,0xffe7048453dc6909l,0xff4cd0b228766127l,
0xabdbe6084fb7db2bl },
{ 0x837c92285e1109e8l,0x26147d27f4645b5al,0x4d78f592f7818ed8l,
0xd394077ef247fa36l },
0 },
/* 51 << 0 */
{ { 0x508cec1c3b3f64c9l,0xe20bc0ba1e5edf3fl,0xda1deb852f4318d4l,
0xd20ebe0d5c3fa443l },
{ 0x370b4ea773241ea3l,0x61f1511c5e1a5f65l,0x99a5e23d82681c62l,
0xd731e383a2f54c2dl },
0 },
/* 52 << 0 */
{ { 0x2692f36e83445904l,0x2e0ec469af45f9c0l,0x905a3201c67528b7l,
0x88f77f34d0e5e542l },
{ 0xf67a8d295864687cl,0x23b92eae22df3562l,0x5c27014b9bbec39el,
0x7ef2f2269c0f0f8dl },
0 },
/* 53 << 0 */
{ { 0x97359638546c4d8dl,0x5f9c3fc492f24679l,0x912e8beda8c8acd9l,
0xec3a318d306634b0l },
{ 0x80167f41c31cb264l,0x3db82f6f522113f2l,0xb155bcd2dcafe197l,
0xfba1da5943465283l },
0 },
/* 55 << 0 */
{ { 0x258bbbf9e7305683l,0x31eea5bf07ef5be6l,0x0deb0e4a46c814c1l,
0x5cee8449a7b730ddl },
{ 0xeab495c5a0182bdel,0xee759f879e27a6b4l,0xc2cf6a6880e518cal,
0x25e8013ff14cf3f4l },
0 },
/* 57 << 0 */
{ { 0x3ec832e77acaca28l,0x1bfeea57c7385b29l,0x068212e3fd1eaf38l,
0xc13298306acf8cccl },
{ 0xb909f2db2aac9e59l,0x5748060db661782al,0xc5ab2632c79b7a01l,
0xda44c6c600017626l },
0 },
/* 59 << 0 */
{ { 0x69d44ed65c46aa8el,0x2100d5d3a8d063d1l,0xcb9727eaa2d17c36l,
0x4c2bab1b8add53b7l },
{ 0xa084e90c15426704l,0x778afcd3a837ebeal,0x6651f7017ce477f8l,
0xa062499846fb7a8bl },
0 },
/* 60 << 0 */
{ { 0xdc1e6828ed8a6e19l,0x33fc23364189d9c7l,0x026f8fe2671c39bcl,
0xd40c4ccdbc6f9915l },
{ 0xafa135bbf80e75cal,0x12c651a022adff2cl,0xc40a04bd4f51ad96l,
0x04820109bbe4e832l },
0 },
/* 61 << 0 */
{ { 0x3667eb1a7f4c04ccl,0x59556621a9404f84l,0x71cdf6537eceb50al,
0x994a44a69b8335fal },
{ 0xd7faf819dbeb9b69l,0x473c5680eed4350dl,0xb6658466da44bba2l,
0x0d1bc780872bdbf3l },
0 },
/* 63 << 0 */
{ { 0xb8d3d9319ff91fe5l,0x039c4800f0518eedl,0x95c376329182cb26l,
0x0763a43482fc568dl },
{ 0x707c04d5383e76bal,0xac98b930824e8197l,0x92bf7c8f91230de0l,
0x90876a0140959b70l },
0 },
/* 64 << 0 */
{ { 0xdb6d96f305968b80l,0x380a0913089f73b9l,0x7da70b83c2c61e01l,
0x95fb8394569b38c7l },
{ 0x9a3c651280edfe2fl,0x8f726bb98faeaf82l,0x8010a4a078424bf8l,
0x296720440e844970l },
0 },
/* 65 << 0 */
{ { 0xdc2306ebfcdbb2b2l,0x79527db7ba66f4b9l,0xbf639ed67765765el,
0x01628c4706b6090al },
{ 0x66eb62f1b957b4a1l,0x33cb7691ba659f46l,0x2c90d98cf3e055d6l,
0x7d096ac42f174750l },
0 },
/* 71 << 0 */
{ { 0xf19f382e92aa7864l,0x49c7cb94fc05804bl,0xf94aa89b40750d01l,
0xdd421b5d4a210364l },
{ 0x56cd001e39df3672l,0x030a119fdd4af1ecl,0x11f947e696cd0572l,
0x574cc7b293786791l },
0 },
/* 77 << 0 */
{ { 0x0a2193bfc266f85cl,0x719a87be5a0ec9cel,0x9c30c6422b2f9c49l,
0xdb15e4963d5baeb1l },
{ 0x83c3139be0d37321l,0x4788522b2e9fdbb2l,0x2b4f0c7877eb94eal,
0x854dc9d595105f9el },
0 },
/* 83 << 0 */
{ { 0x2c9ee62dc3363a22l,0x125d4714ec67199al,0xf87abebf2ab80485l,
0xcf3086e87a243ca4l },
{ 0x5c52b051c64e09ddl,0x5e9b16125625aad7l,0x0536a39db19c6126l,
0x97f0013247b64be5l },
0 },
/* 89 << 0 */
{ { 0xc1ee6264a7eabe67l,0x62d51e29fd54487dl,0x3ea123446310eb5al,
0xbd88aca74765b805l },
{ 0xb7b284be14fb691al,0x640388f83b9fffefl,0x7ab49dd209f98f9al,
0x7150f87e7211e445l },
0 },
/* 95 << 0 */
{ { 0x263e039bb308cc40l,0x6684ad762b346fd2l,0x9a127f2bcaa12d0dl,
0x76a8f9fea974291fl },
{ 0xc802049b68aa19e4l,0x65499c990c5dbba0l,0xee1b1cb5344455a1l,
0x3f293fda2cd6f439l },
0 },
/* 101 << 0 */
{ { 0xb7a96e0a4ea6fdf7l,0xbbe914d3b99cd026l,0x6a610374c569a602l,
0xe9b1c23914da499el },
{ 0xb5f6f0feadc19a99l,0x731251826f21687cl,0x5a8a14644be77793l,
0x94ce9e0adba8bfc7l },
0 },
/* 107 << 0 */
{ { 0x2ca0ba9c3796f4c7l,0x3571e4d1592ce334l,0x28f9cdebe9f6e877l,
0xee206023efce1a70l },
{ 0xb2159e08b76369dcl,0x2754e4260a7f687cl,0xe008039e02de2ff1l,
0xccd7e9418ea700c1l },
0 },
/* 113 << 0 */
{ { 0xa125e6c1b7ebcb88l,0x3289e86e10ec0d40l,0xcc3a5ecb98353869l,
0x734e0d078a2b0d3al },
{ 0xe0d92e9a51933360l,0xfa6bcdb1786076b9l,0xd13cca90747f19ecl,
0x61d8209d49f3a53dl },
0 },
/* 116 << 0 */
{ { 0x87f9793bc9826344l,0x4b3de89bb2f5f79cl,0xc9f08a5659cb1b6el,
0xd8f1fc5f6a92b9aal },
{ 0x86357f9eb412595el,0x53c30bbe65b80f16l,0xf06c2c8c70549a57l,
0xa9c8a4b42b9157dal },
0 },
/* 119 << 0 */
{ { 0x87af199e6cc47305l,0x062afb7c1e314ddel,0x2be22ba0f3a49fb4l,
0x6ed0b988157b7f56l },
{ 0x8162cf502d653fd9l,0x17d29c64877b7497l,0xd7e814380f67b514l,
0xfedf1014fe6ee703l },
0 },
/* 125 << 0 */
{ { 0xaab54cfc93740130l,0xf72dab6d225733fal,0x04b76d2d1ed32559l,
0xa9fe2396bb85b9cbl },
{ 0x128b0d24bf2219f0l,0x2292393b579f3ce2l,0x51dc5fac145ff0d5l,
0xb16d6af8c3febbc1l },
0 },
},
{
/* 0 << 8 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 8 */
{ { 0x486d8ffa696946fcl,0x50fbc6d8b9cba56dl,0x7e3d423e90f35a15l,
0x7c3da195c0dd962cl },
{ 0xe673fdb03cfd5d8bl,0x0704b7c2889dfca5l,0xf6ce581ff52305aal,
0x399d49eb914d5e53l },
0 },
/* 3 << 8 */
{ { 0x35d6a53eed4c3717l,0x9f8240cf3d0ed2a3l,0x8c0d4d05e5543aa5l,
0x45d5bbfbdd33b4b4l },
{ 0xfa04cc73137fd28el,0x862ac6efc73b3ffdl,0x403ff9f531f51ef2l,
0x34d5e0fcbc73f5a2l },
0 },
/* 4 << 8 */
{ { 0x4f7081e144cc3addl,0xd5ffa1d687be82cfl,0x89890b6c0edd6472l,
0xada26e1a3ed17863l },
{ 0x276f271563483caal,0xe6924cd92f6077fdl,0x05a7fe980a466e3cl,
0xf1c794b0b1902d1fl },
0 },
/* 5 << 8 */
{ { 0x33b2385c08369a90l,0x2990c59b190eb4f8l,0x819a6145c68eac80l,
0x7a786d622ec4a014l },
{ 0x33faadbe20ac3a8dl,0x31a217815aba2d30l,0x209d2742dba4f565l,
0xdb2ce9e355aa0fbbl },
0 },
/* 7 << 8 */
{ { 0x0c4a58d474a86108l,0xf8048a8fee4c5d90l,0xe3c7c924e86d4c80l,
0x28c889de056a1e60l },
{ 0x57e2662eb214a040l,0xe8c48e9837e10347l,0x8774286280ac748al,
0xf1c24022186b06f2l },
0 },
/* 9 << 8 */
{ { 0xe8cbf1e5d5923359l,0xdb0cea9d539b9fb0l,0x0c5b34cf49859b98l,
0x5e583c56a4403cc6l },
{ 0x11fc1a2dd48185b7l,0xc93fbc7e6e521787l,0x47e7a05805105b8bl,
0x7b4d4d58db8260c8l },
0 },
/* 10 << 8 */
{ { 0xb31bd6136339c083l,0x39ff8155dfb64701l,0x7c3388d2e29604abl,
0x1e19084ba6b10442l },
{ 0x17cf54c0eccd47efl,0x896933854a5dfb30l,0x69d023fb47daf9f6l,
0x9222840b7d91d959l },
0 },
/* 11 << 8 */
{ { 0xc510610939842194l,0xb7e2353e49d05295l,0xfc8c1d5cefb42ee0l,
0xe04884eb08ce811cl },
{ 0xf1f75d817419f40el,0x5b0ac162a995c241l,0x120921bbc4c55646l,
0x713520c28d33cf97l },
0 },
/* 13 << 8 */
{ { 0x41d04ee21726931al,0x0bbbb2c83660ecfdl,0xa6ef6de524818e18l,
0xe421cc51e7d57887l },
{ 0xf127d208bea87be6l,0x16a475d3b1cdd682l,0x9db1b684439b63f7l,
0x5359b3dbf0f113b6l },
0 },
/* 15 << 8 */
{ { 0x3a5c752edcc18770l,0x4baf1f2f8825c3a5l,0xebd63f7421b153edl,
0xa2383e47b2f64723l },
{ 0xe7bf620a2646d19al,0x56cb44ec03c83ffdl,0xaf7267c94f6be9f1l,
0x8b2dfd7bc06bb5e9l },
0 },
/* 16 << 8 */
{ { 0x6772b0e5ab4b35a2l,0x1d8b6001f5eeaacfl,0x728f7ce4795b9580l,
0x4a20ed2a41fb81dal },
{ 0x9f685cd44fec01e6l,0x3ed7ddcca7ff50adl,0x460fd2640c2d97fdl,
0x3a241426eb82f4f9l },
0 },
/* 17 << 8 */
{ { 0xc503cd33bccd9617l,0x365dede4ba7730a3l,0x798c63555ddb0786l,
0xa6c3200efc9cd3bcl },
{ 0x060ffb2ce5e35efdl,0x99a4e25b5555a1c1l,0x11d95375f70b3751l,
0x0a57354a160e1bf6l },
0 },
/* 19 << 8 */
{ { 0xc033bdc719803511l,0xa9f97b3b8888c3bel,0x3d68aebc85c6d05el,
0xc3b88a9d193919ebl },
{ 0x2d300748c48b0ee3l,0x7506bc7c07a746c1l,0xfc48437c6e6d57f3l,
0x5bd71587cfeaa91al },
0 },
/* 21 << 8 */
{ { 0xe40736d3df61bc76l,0x13a619c03f778cdbl,0x6dd921a4c56ea28fl,
0x76a524332fa647b4l },
{ 0x23591891ac5bdc5dl,0xff4a1a72bac7dc01l,0x9905e26162df8453l,
0x3ac045dfe63b265fl },
0 },
/* 23 << 8 */
{ { 0x8435bd6994b03ed1l,0xd9ad1de3634cc546l,0x2cf423fc00e420cal,
0xeed26d80a03096ddl },
{ 0xd7f60be7a4db09d2l,0xf47f569d960622f7l,0xe5925fd77296c729l,
0xeff2db2626ca2715l },
0 },
/* 25 << 8 */
{ { 0x5dfee80f83774bddl,0x6313160285734485l,0xa1b524ae914a69a9l,
0xebc2ffafd4e300d7l },
{ 0x52c93db77cfa46a5l,0x71e6161f21653b50l,0x3574fc57a4bc580al,
0xc09015dde1bc1253l },
0 },
/* 27 << 8 */
{ { 0x9c38ddcceb5b76c1l,0x746f528526fc0ab4l,0x52a63a50d62c269fl,
0x60049c5599458621l },
{ 0xe7f48f823c2f7c9el,0x6bd99043917d5cf3l,0xeb1317a88701f469l,
0xbd3fe2ed9a449fe0l },
0 },
/* 28 << 8 */
{ { 0xe652533b3cef0d7dl,0xd94f7b182bbb4381l,0x838752be0e80f500l,
0x8e6e24889e9c9bfbl },
{ 0xc975169716caca6al,0x866c49d838531ad9l,0xc917e2397151ade1l,
0x2d016ec16037c407l },
0 },
/* 29 << 8 */
{ { 0x202f6a9c31c71f7bl,0x01f95aa3296ffe5cl,0x5fc0601453cec3a3l,
0xeb9912375f498a45l },
{ 0xae9a935e5d91ba87l,0xc6ac62810b564a19l,0x8a8fe81c3bd44e69l,
0x7c8b467f9dd11d45l },
0 },
/* 31 << 8 */
{ { 0x21d3634d39eedbbal,0x35cd2e680455a46dl,0xc8cafe65f9d7eb0cl,
0xbda3ce9e00cefb3el },
{ 0xddc17a602c9cf7a4l,0x01572ee47bcb8773l,0xa92b2b018c7548dfl,
0x732fd309a84600e3l },
0 },
/* 33 << 8 */
{ { 0x65cf89a2e0600afal,0xcf51482f753c5ceal,0x4f2b2d25a5c2bfc5l,
0x9381f57187098256l },
{ 0x89210f676e976e4bl,0xe2cf12f489f47a7bl,0xc21a1658e8484050l,
0xa224dbf82f0fff01l },
0 },
/* 34 << 8 */
{ { 0xc28961087282513dl,0x9a78c4296a3f8fb8l,0xddfa56f9a31e24b7l,
0xb1e14f84fb72611fl },
{ 0x1d0f70ab45078d65l,0xb247aef3819924d8l,0x8d519f9dbb9877c1l,
0x495c2ece8368c7c9l },
0 },
/* 35 << 8 */
{ { 0xca9129a0bdb69d12l,0xbe3e319978f39adfl,0xa88506df5fe49438l,
0x17ddb7a7aafe894cl },
{ 0x28d1456f6d1d742fl,0xeec09651917d1268l,0xdecb1c700fd5b4c0l,
0x32d14f6acf2861dbl },
0 },
/* 36 << 8 */
{ { 0x903f6e3960e913afl,0xb2b58bee98bf140dl,0x9deff025354890b8l,
0x155810068d2e924el },
{ 0xb5755db493c95e5bl,0x3fac42f0dae20eb8l,0x9377c8c109b6d8e0l,
0xa43e2b46ab47ceffl },
0 },
/* 37 << 8 */
{ { 0x6c3f5a51cb61e7e7l,0x264aebc80d9c73b2l,0xc404b2114a0d9288l,
0x5178d3cf8b3a79e9l },
{ 0x4080be5372a420d7l,0xa39396adef026429l,0x22fbb92e8dde4728l,
0x19e42d8874d949fcl },
0 },
/* 39 << 8 */
{ { 0xde352d78387f5557l,0x6770149969367413l,0x255bb8c00b0cc102l,
0x63cad1be1f4d262el },
{ 0xf34f9a8a3f8f4fb6l,0x32bc13aae03a969fl,0xb29d4336218371cdl,
0x799d76ab285bd210l },
0 },
/* 40 << 8 */
{ { 0x5f57b2fbfacfa459l,0x874b1498c1b5aa6bl,0xb9e89acac4db2092l,
0x1362bf8ddf4381dal },
{ 0x25d76830b76328a0l,0x38188b7098572ae4l,0xb43e941429132f7dl,
0x7895a29f22dd42c9l },
0 },
/* 41 << 8 */
{ { 0x85bded619e808c05l,0x6e0fc2bcc7ef83bbl,0xed70e0b499bedf77l,
0x300e777dc1aaffc0l },
{ 0xe2da2359c43e6d2cl,0xacf6d60a275226e0l,0x18ca38f7f82558bdl,
0xd7b017d475ae2591l },
0 },
/* 43 << 8 */
{ { 0xed299e2d7cd92ee2l,0x2c08eb37ad847153l,0x7b372aa712acfd81l,
0x574d27f5fabda29cl },
{ 0xbd8247f0f2ee6ebcl,0x8bf76710d06be261l,0x26e95b4bcb186d4cl,
0x4fa3ac1d1ebb4a46l },
0 },
/* 44 << 8 */
{ { 0xcbde78dd5e22cbb2l,0xf449c85b76bb4391l,0x4289f357b6a4273bl,
0x9fce23fd48e84a19l },
{ 0xcfc32730939eb3b4l,0x8b3d982c16c32280l,0x5ac234bad5f1346cl,
0x781954b470769fc9l },
0 },
/* 45 << 8 */
{ { 0xff0d4d30062c7dbdl,0x2c483081e6f9fcf0l,0x22f96316d67e070fl,
0xdd9be459c0e68c44l },
{ 0xb9c1edffce2edd4dl,0x1a54782021fc538cl,0x93849be49979aee1l,
0x3f313629a590949el },
0 },
/* 46 << 8 */
{ { 0x160b836b266be332l,0x49de38215f340575l,0x782e8f6701edce66l,
0x83ae008b5df1a93el },
{ 0x85d33a263ed9ffebl,0xae2f9f961e79db97l,0xf64f209b95ae9e34l,
0x2b6b03455e957d49l },
0 },
/* 47 << 8 */
{ { 0x7a24a21a331d6bdal,0xfdba302f6328f742l,0x37a36dd47744dca4l,
0xda2832ce6fef500fl },
{ 0x23da304a7b49d73al,0xeede2cebc6ad834fl,0xf21a81248dec3c78l,
0x4bc9469b19b721e3l },
0 },
/* 48 << 8 */
{ { 0x6faf68feaae6ee70l,0x78f4cc155602b0c9l,0x7e3321a86e94052al,
0x2fb3a0d6734d5d80l },
{ 0xf3b98f3bb25a43bal,0x30bf803119ee2951l,0x7ffee43321b0612al,
0x12f775e42eb821d0l },
0 },
/* 49 << 8 */
{ { 0x31cc342913e5c1d6l,0x05deaa3cee54e334l,0x21ea2b61cd5087d8l,
0x73a1841e70d1b8bcl },
{ 0xd44e2b41b078bf14l,0xc295732fcea2a30el,0x30cdab42954939f7l,
0xc1b4e43a2dba0b7cl },
0 },
/* 51 << 8 */
{ { 0x5f33f618b6a20132l,0xc8d73e3cfbbf3022l,0xf3b9844d47ed4320l,
0xab5868aa927f00cal },
{ 0x06cb1113077f6e1cl,0x1417b43a5c94faaal,0x7666cb90cf4cd1e9l,
0x99e009f210900566l },
0 },
/* 52 << 8 */
{ { 0x4fdff805f57209b5l,0x9bd65ac3f952ac8dl,0x02a3abd3c7969a6fl,
0x1359927ef523775fl },
{ 0xe09b463f88d2e861l,0x661d2199623287c3l,0x821e64495a70eb7al,
0x0afbbb1dd67dc684l },
0 },
/* 53 << 8 */
{ { 0x2c5a2b2d55750eb2l,0x54d756c29dc28d9fl,0x798c8d113af97f71l,
0x54e21ee21f6d1853l },
{ 0x34e0c8bceffc3f8al,0xed3cc4dda96f193fl,0x86436a84fad97110l,
0x8530ca522c97205el },
0 },
/* 55 << 8 */
{ { 0x9b6c8452f7236867l,0x21cf260c777b44fdl,0x659fc99dceb00c52l,
0xda97098e2439e8dbl },
{ 0x647efe510ed6e14fl,0x37c8ca122a6600f3l,0x53e89b0badf6f4a7l,
0xd9fc8c716645618al },
0 },
/* 57 << 8 */
{ { 0x9cecfb8eee6ebd31l,0x4603994b1ff25529l,0x707bc80af4b141c4l,
0x3a83d56c07524d3al },
{ 0x7035c746613a3020l,0x7aa766b286626a1cl,0x3af656095ac76c78l,
0x4039c655171e47d6l },
0 },
/* 59 << 8 */
{ { 0x79cb147f0ce33b63l,0xa1328a622d160c61l,0xf99538f3cf7eb87el,
0x0334d4958e2241d5l },
{ 0x3ad97e02f3e49e48l,0xdcfcc754037c3679l,0x76078ba61a8ff67cl,
0x8054aa55c2a64964l },
0 },
/* 60 << 8 */
{ { 0x5852104b87453b28l,0x073e8128b387344dl,0x300e78e4817cfc08l,
0x3a82ed4799362088l },
{ 0xe222304c88de46a4l,0x666c94fd57fadf4al,0x40b2d08ea0c8e108l,
0x4b2955b909e050fal },
0 },
/* 61 << 8 */
{ { 0x656078565f814881l,0x0fc3d1ce58466117l,0x0ae377d3c6c1e68al,
0xe3dd8d5cba566c48l },
{ 0x9404849ec4b63be6l,0x1e22b03ba5be9c92l,0x08145122a8b03e63l,
0x71248243771fe153l },
0 },
/* 63 << 8 */
{ { 0xa80a0e83b41ac541l,0xa77570ea533e5f9bl,0x416a14c0216dc452l,
0x2a8d728a19f7ee59l },
{ 0x58494c8cd6552eaal,0x4d635acd60145722l,0xa8e9b127327b1cbcl,
0xb429a62e9f8235f0l },
0 },
/* 64 << 8 */
{ { 0xf8d112e76e6485b3l,0x4d3e24db771c52f8l,0x48e3ee41684a2f6dl,
0x7161957d21d95551l },
{ 0x19631283cdb12a6cl,0xbf3fa8822e50e164l,0xf6254b633166cc73l,
0x3aefa7aeaee8cc38l },
0 },
/* 65 << 8 */
{ { 0xd52d2cb746ef1c7el,0xebd4f7c4d8fb6e07l,0x16f77a48cf6dd2b4l,
0x6e8f0431e77e4d51l },
{ 0x59d94cc4e9177bf2l,0xb58a578f7a7181a1l,0xeefbc4cde8f6d330l,
0xa66c85560fe05490l },
0 },
/* 71 << 8 */
{ { 0x0e6db7a35d9649dal,0x4d2f25193be3d362l,0xcd891fd5a6b137b5l,
0xa4b7e4ddacd377a9l },
{ 0x20ccd6f24355f258l,0x842c08673aafb413l,0xdd55db99d6873b88l,
0x04d15f4fea5a2a55l },
0 },
/* 77 << 8 */
{ { 0x679cd93dfae289c2l,0x84cadd61ff92ba1bl,0x548b5a6f2cd734aal,
0x1827507db8267082l },
{ 0xa903a6010c6d5b4cl,0xde0d96befdfb952bl,0x2fc9419c6a2e24f9l,
0x27333e3936bb3203l },
0 },
/* 83 << 8 */
{ { 0x3eb7f062dde4aa6al,0x40effae07f354cc0l,0xe9a14bc2a066c05el,
0x7817b11356afc543l },
{ 0x5f0ed1f28bdda262l,0x001e23d2e007ec13l,0x435878a59c57de6al,
0x84d0e20895ac263cl },
0 },
/* 89 << 8 */
{ { 0xedf24aec97a66678l,0xd1f93cf8ccf55671l,0x4ed2ce8a9379a49dl,
0x64991862c39b0ac9l },
{ 0xc15b24e31ff67e04l,0x4ee8fc76c3c084fel,0x262012b4f64bcd46l,
0x3b5086732425c622l },
0 },
/* 95 << 8 */
{ { 0xaa3e451fe65002f7l,0xf5ff2617eb46d253l,0x918d146e572afca2l,
0x0a9333b7e56a8553l },
{ 0x9b7e232d94127dc0l,0xcd0687d6831014e6l,0x725ce5baf08e1c71l,
0x56e26f48cde0e4edl },
0 },
/* 101 << 8 */
{ { 0xae78dde8db833460l,0xaf1736fe762cb78al,0x5cd85742eae5ac60l,
0x7b6c52fe955e981al },
{ 0x9f823e8555599f97l,0xb9ce70d21a4b46b3l,0xb6076175d7d09829l,
0x21e77d22abf390a4l },
0 },
/* 107 << 8 */
{ { 0xf704f09da142ad7el,0xb60ec2e1bab9f5d2l,0x4180314681e54d0dl,
0x0de50506309335e6l },
{ 0x4135374e05aec64fl,0xb5d31041b556808al,0x0092eb86049033a8l,
0x5b7a2fa0bde0d737l },
0 },
/* 113 << 8 */
{ { 0xc0dfa6bbefb40cfal,0x86a6fe279c5037f3l,0xf153cd37f71155f4l,
0xf16d6029767664f9l },
{ 0x7441aa54c635aa57l,0x547f82e9e8186b2el,0x330b464bfbf7c7fel,
0xb5556770a1f6fddel },
0 },
/* 116 << 8 */
{ { 0xa0a9c5d1e8f9edf1l,0x9814c26b6946cea3l,0xcbb47a37d8e6a08dl,
0x517a3d9b2cba11b1l },
{ 0x94edc73dab43c540l,0x4fd0b82a753e552cl,0x419aab8bd14ae853l,
0x94955f9ca68abad8l },
0 },
/* 119 << 8 */
{ { 0x3a162e06ed169150l,0x8c9683a6ba1194a8l,0x53fead66ccc28d04l,
0xdbb2a85bef09809al },
{ 0x58e677439d3ab018l,0xff9a2046b6e56bd0l,0xf4b8215eb28061e9l,
0xcf16d9f7b10e358fl },
0 },
/* 125 << 8 */
{ { 0x265ceae9a55abe39l,0x9e3783f796a98f84l,0xb799628af0757d99l,
0xebb5f12665472fb3l },
{ 0xd83619f52ba517d8l,0x5672105f50382bdfl,0x32c5681c4a12ee9fl,
0x31e6f60d834a9fedl },
0 },
},
{
/* 0 << 16 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 16 */
{ { 0x0f0165fce3779ee3l,0xe00e7f9dbd495d9el,0x1fa4efa220284e7al,
0x4564bade47ac6219l },
{ 0x90e6312ac4708e8el,0x4f5725fba71e9adfl,0xe95f55ae3d684b9fl,
0x47f7ccb11e94b415l },
0 },
/* 3 << 16 */
{ { 0xbd9b8b1dbe7a2af3l,0xec51caa94fb74a72l,0xb9937a4b63879697l,
0x7c9a9d20ec2687d5l },
{ 0x1773e44f6ef5f014l,0x8abcf412e90c6900l,0x387bd0228142161el,
0x50393755fcb6ff2al },
0 },
/* 4 << 16 */
{ { 0xfabf770977f7195al,0x8ec86167adeb838fl,0xea1285a8bb4f012dl,
0xd68835039a3eab3fl },
{ 0xee5d24f8309004c2l,0xa96e4b7613ffe95el,0x0cdffe12bd223ea4l,
0x8f5c2ee5b6739a53l },
0 },
/* 5 << 16 */
{ { 0x3d61333959145a65l,0xcd9bc368fa406337l,0x82d11be32d8a52a0l,
0xf6877b2797a1c590l },
{ 0x837a819bf5cbdb25l,0x2a4fd1d8de090249l,0x622a7de774990e5fl,
0x840fa5a07945511bl },
0 },
/* 7 << 16 */
{ { 0x26e08c07e3533d77l,0xd7222e6a2e341c99l,0x9d60ec3d8d2dc4edl,
0xbdfe0d8f7c476cf8l },
{ 0x1fe59ab61d056605l,0xa9ea9df686a8551fl,0x8489941e47fb8d8cl,
0xfeb874eb4a7f1b10l },
0 },
/* 9 << 16 */
{ { 0x9164088d977eab40l,0x51f4c5b62760b390l,0xd238238f340dd553l,
0x358566c3db1d31c9l },
{ 0x3a5ad69e5068f5ffl,0xf31435fcdaff6b06l,0xae549a5bd6debff0l,
0x59e5f0b775e01331l },
0 },
/* 10 << 16 */
{ { 0x2cc5226138634818l,0x501814f4b44c2e0bl,0xf7e181aa54dfdba3l,
0xcfd58ff0e759718cl },
{ 0xf90cdb14d3b507a8l,0x57bd478ec50bdad8l,0x29c197e250e5f9aal,
0x4db6eef8e40bc855l },
0 },
/* 11 << 16 */
{ { 0xd5d5cdd35958cd79l,0x3580a1b51d373114l,0xa36e4c91fa935726l,
0xa38c534def20d760l },
{ 0x7088e40a2ff5845bl,0xe5bb40bdbd78177fl,0x4f06a7a8857f9920l,
0xe3cc3e50e968f05dl },
0 },
/* 13 << 16 */
{ { 0x10595b5696a71cbal,0x944938b2fdcadeb7l,0xa282da4cfccd8471l,
0x98ec05f30d37bfe1l },
{ 0xe171ce1b0698304al,0x2d69144421bdf79bl,0xd0cd3b741b21dec1l,
0x712ecd8b16a15f71l },
0 },
/* 15 << 16 */
{ { 0xe89f48c85963a46el,0x658ab875a99e61c7l,0x6e296f874b8517b4l,
0x36c4fcdcfc1bc656l },
{ 0xde5227a1a3906defl,0x9fe95f5762418945l,0x20c91e81fdd96cdel,
0x5adbe47eda4480del },
0 },
/* 16 << 16 */
{ { 0xa7a8746a584c5e20l,0x267e4ea1b9dc7035l,0x593a15cfb9548c9bl,
0x5e6e21354bd012f3l },
{ 0xdf31cc6a8c8f936el,0x8af84d04b5c241dcl,0x63990a6f345efb86l,
0x6fef4e61b9b962cbl },
0 },
/* 17 << 16 */
{ { 0xaa35809ddfe6e2a0l,0xebb4d7d4356a2222l,0x7d500a6a319f33b7l,
0x4895a47d4ac99011l },
{ 0x300ab40bdf3812b2l,0xd0764ec88aec8b9fl,0x86b61d95e591b2a7l,
0xc1b2a0b72ed74603l },
0 },
/* 19 << 16 */
{ { 0x6001bf5d3849c680l,0xd7a1a4e4c1d3faccl,0xa0f2776418c5e351l,
0x0849c0736c29c623l },
{ 0x3317e143ac751c0cl,0x9bcb1f3eda06200bl,0x40a63a75541419b5l,
0x8fad9c983f62c513l },
0 },
/* 21 << 16 */
{ { 0xacff0828d03b2242l,0x5a9375c43abb7389l,0x41b1a318d0192baal,
0x105bd3100458e97bl },
{ 0x71582dc7ed496315l,0x8ab2884a4d4bda18l,0xb8b638b494bc5bb8l,
0xb42ed1309500bb04l },
0 },
/* 23 << 16 */
{ { 0x73e04f02ad1ed952l,0x680051cadfa5bdb7l,0xbe0bef3c0c7437b9l,
0x45d6f3a40e65e627l },
{ 0x5295e060c9436a75l,0xbe84ba78d289ba9el,0x350887fd69c09364l,
0xf27bfd17671c64a7l },
0 },
/* 25 << 16 */
{ { 0xc8afbdc3adf6ffc5l,0x4a4fb35876385891l,0xc7fa86424d41453fl,
0x19490b7672eedd06l },
{ 0xc883e45337d22d6al,0x8e6e38e4a9009f96l,0x44e2811eb1c560c6l,
0x8a0021bf4439cfcfl },
0 },
/* 27 << 16 */
{ { 0xba768f8b7615a327l,0x6c8b320d7b15bbe7l,0x5d8d5bcbaaa9ca64l,
0x19a2b99f3d13cdfdl },
{ 0x858288a26f172e10l,0x2412a4da37a00f94l,0xfc67fd2edaa7f6c6l,
0x4aea0eadafa2a5c5l },
0 },
/* 28 << 16 */
{ { 0x5c80ccef6cd77b30l,0x49978299ec99b6d0l,0x6bf4485eb939d335l,
0xc53e61ab86d7c147l },
{ 0xdd948052fb601dddl,0x34c5eb393511dd48l,0x91f5c67600e6f61cl,
0x33f1b525b1e71f34l },
0 },
/* 29 << 16 */
{ { 0xb4cb4a151d2dad36l,0x709a61631e60b60dl,0x2f18f3bd932ece4fl,
0x70f495a8e92368bel },
{ 0x6e88be2bb7aeaa6fl,0x4efebd9ae1bf1d6el,0x49925e6e44e94993l,
0x33b7aba0ef0517dcl },
0 },
/* 31 << 16 */
{ { 0x69ce1f207afe6c37l,0xe1148ba984f68db5l,0x32668bdc2c594a8al,
0x2cb60d3063ac4fb3l },
{ 0x5e6efe1dd9e036f8l,0x917cb2a27db4739fl,0x70ea601ded4e0b5el,
0x5928f068ae7ac8a6l },
0 },
/* 33 << 16 */
{ { 0x9e4ad0073f2d96abl,0x51a9697f2d058c03l,0xcd5c0a7522d1e795l,
0xaa1a121c2ac4f019l },
{ 0xa837c14c3e3631f4l,0x6a997381236a5576l,0xb305e7db2753782bl,
0xae561b0237243afbl },
0 },
/* 34 << 16 */
{ { 0x20176baca787897bl,0x057b8b979a9f67d9l,0xe7d5c4f761e14e09l,
0x8e4856901e6cd6d0l },
{ 0x3eeffbba9b925d52l,0xe651a5383046927bl,0x02326d1fe92d4352l,
0xad2d6493d697369fl },
0 },
/* 35 << 16 */
{ { 0xe9de299c548c4ca5l,0x66f64ef54be3bde3l,0xcf6d39ebf2d5ebc9l,
0x665ca727898953e1l },
{ 0x521ec435e33ac1b4l,0x8418fa7534ab2b82l,0x94d6c0c4771a3a87l,
0x21feb6054859ee22l },
0 },
/* 36 << 16 */
{ { 0xde7153f8eed9dd1dl,0xba09ad1152ebcb2el,0xaa41b015e1843fb6l,
0xf933a2abdd4ce6f0l },
{ 0x777f834313f6b83fl,0x28df7da4db113a75l,0x6d7d1b3c72a5d143l,
0x6f789698966c6ddfl },
0 },
/* 37 << 16 */
{ { 0x57d11ed7a95e704el,0x7d5ac6dc380ad582l,0xb175421d5ab6e377l,
0x4e383b0ba760dd4dl },
{ 0xde07b81a352b6cb3l,0x342abe825c2e1704l,0x90988de20dd48537l,
0x4a7fec0544821591l },
0 },
/* 39 << 16 */
{ { 0xb0e4d17c90a94eb7l,0x27555067aceb0176l,0x587576e15c38c4e2l,
0xe647d9dd445f2880l },
{ 0x00beb2f5ca502f83l,0x4e89e638c44767c7l,0xbef361da154a5757l,
0x2dc632a2dc0675f2l },
0 },
/* 40 << 16 */
{ { 0xed439a33a72ba054l,0xa3170a15ead265bal,0xcf7eb903fe99a58el,
0xcf6db0c633d80c26l },
{ 0xd031255ef613e71al,0x12ccbe5718ca255cl,0xdd21d0537808c40dl,
0xf5488ebc3af2be6bl },
0 },
/* 41 << 16 */
{ { 0x589a125ac10f8157l,0x3c8a15bde1353e49l,0x7d9bbd0c22ce2dd0l,
0xdfcd019211ac7bb1l },
{ 0x0e1d67151193c5b1l,0xd4de115ab0e8c285l,0x0b3e94c2272c29fel,
0xea640843c8213581l },
0 },
/* 43 << 16 */
{ { 0x7a01aeed6aca2231l,0x8135cf2ace80abbel,0xdc1a41b2ae5fdec9l,
0xde34ea4da0174364l },
{ 0xa5104e453cf8b845l,0x4b6fd986675ba557l,0x4bc750af29c8cb4al,
0x8bebb266583f9391l },
0 },
/* 44 << 16 */
{ { 0x47110d7c1be3f9c5l,0x12b9e4485eadb4ddl,0x6e8c09870b713d41l,
0xe1e20356733d56ael },
{ 0xe68d6bab445ea727l,0x9ef4f6eac934a1a4l,0xe0155547f8cef1c3l,
0xdb5c3909159bdcbfl },
0 },
/* 45 << 16 */
{ { 0xef0449cb32fa8a37l,0x95071f5dcd246405l,0x1c56ad776c598891l,
0x981781de0fa9cd42l },
{ 0x0f93d456d29c0500l,0x43aa7bc1483f52c4l,0xd7c8736666c8abadl,
0x47552530ea5050efl },
0 },
/* 46 << 16 */
{ { 0x40dd9ca9fa9b8d3dl,0xf27b7bc056da41d9l,0x87967f4b66db8845l,
0xf6918c9444de6bc7l },
{ 0x4d76d51135568d4dl,0x7ab18f9a40e7fa5al,0x069a44bba5bbbdc6l,
0x19e6c04bb4c8f808l },
0 },
/* 47 << 16 */
{ { 0x5fd2501108b2b6c7l,0xcce85a3ec41cad21l,0x90857daffdd70387l,
0x7a679062c63789f4l },
{ 0x9c462134ef8666e2l,0xcb7dba108c8505bdl,0x7c4a7e2fc610f2e7l,
0x22906f65d68315f9l },
0 },
/* 48 << 16 */
{ { 0xf2efe23d442a8ad1l,0xc3816a7d06b9c164l,0xa9df2d8bdc0aa5e5l,
0x191ae46f120a8e65l },
{ 0x83667f8700611c5bl,0x83171ed7ff109948l,0x33a2ecf8ca695952l,
0xfa4a73eef48d1a13l },
0 },
/* 49 << 16 */
{ { 0x41dd38c1118de9a0l,0x3485cb3be2d8f6f5l,0xd4bac751b1dcc577l,
0x2148d93fed12ea6bl },
{ 0xde3504729da8cb18l,0x6046daf89eb85925l,0xddbc357b942b1044l,
0x248e7afe815b8b7cl },
0 },
/* 51 << 16 */
{ { 0xd4bb77b3acb21004l,0xe9f236cf83392035l,0xa9894c5c52133743l,
0x4d6112749a7b054al },
{ 0xa61675ea4ba2a553l,0x59c199681da6aa78l,0x3988c36590f474del,
0x73e751bbd001be43l },
0 },
/* 52 << 16 */
{ { 0x97cacf846604007dl,0x1e92b4b22d47a9f1l,0x858ae0d6374ed165l,
0x4c973e6f307aefb8l },
{ 0x6f524a238a10eb72l,0x7b4a92a9eb2849d6l,0x3678bda42fe91eddl,
0x56092acd7c0fc35cl },
0 },
/* 53 << 16 */
{ { 0x93bea99b1b9b43c4l,0x2f6af6f3e145fda2l,0x862f0607278adf0dl,
0x647be08398456ccal },
{ 0xce79ba1487250c28l,0x1c1c4fc8efedab42l,0x966f612af90caa8dl,
0xb1a2cf6e72c440f8l },
0 },
/* 55 << 16 */
{ { 0x2fca1be45b3b7dd5l,0x453c19853c211bcal,0x313cb21969a46484l,
0x66082837414bd5dfl },
{ 0xab7a97bf2ac1cdf7l,0x45cd1792676d778fl,0x42fb6c4f6a5b560al,
0x45747fe30b8f17e9l },
0 },
/* 57 << 16 */
{ { 0x38b6db6235db6218l,0xa10cdfe1bb54bacal,0x56fd4a1d610f7f6bl,
0xc4bea78b76d183d7l },
{ 0xc0e6ca9fbf730d26l,0x1b1e271aed6cf535l,0x6fef275faadbe375l,
0xfa2e8da903e489bal },
0 },
/* 59 << 16 */
{ { 0x6f79d25c7c4626ecl,0xfe27690232d55d6cl,0x3f5c5768afa19ce3l,
0xa1373777f8834739l },
{ 0x761d67a8a4ce960al,0xb34de1ea459e656al,0x8725b0f09db6f269l,
0x75316f250dbfe22el },
0 },
/* 60 << 16 */
{ { 0x091d5b631a093b40l,0xb85c1c075862f24al,0xc5d74eb53e8f85bfl,
0xf51c7746cab22456l },
{ 0xc25cb8d9e761da89l,0x2670ec2fc0f028b5l,0x873fd30d2db9af5cl,
0x3d0f1ea18262565el },
0 },
/* 61 << 16 */
{ { 0x8f9492c261c23b3cl,0xd366baeb631688a4l,0x55e759e78093bb07l,
0xf6d0eaf47218f765l },
{ 0xb8a174ff54ca583bl,0x790f10e0b23d14cel,0xfebe7333be83cbbal,
0xfeb6dcc5eed67536l },
0 },
/* 63 << 16 */
{ { 0x175b3bacce027e5bl,0xe0728a99c48252c4l,0x0be25d4507a39c7cl,
0xcb9c2d3aba8e8c72l },
{ 0x6185a48d1abd459al,0x27207feadff9a27bl,0xfd92e8231d34393fl,
0x738511534351d965l },
0 },
/* 64 << 16 */
{ { 0xfcde7cc8f43a730fl,0xe89b6f3c33ab590el,0xc823f529ad03240bl,
0x82b79afe98bea5dbl },
{ 0x568f2856962fe5del,0x0c590adb60c591f3l,0x1fc74a144a28a858l,
0x3b662498b3203f4cl },
0 },
/* 65 << 16 */
{ { 0x8ede0fcdc11682eel,0x41e3faa1b2ab5664l,0x58b2a7dc26a35ff5l,
0x939bcd6b701b89e9l },
{ 0x55f66fd188e0838fl,0x99d1a77b4ff1f975l,0x103abbf72e060cc5l,
0x91c77beb6bc4bdbbl },
0 },
/* 71 << 16 */
{ { 0xcd048abca380cc72l,0x91cab1bbd0e13662l,0x68115b18686de4cel,
0x484724e63deccbf5l },
{ 0xf164ba54f176137el,0x5189793662ab2728l,0x6afdecf9b60a5458l,
0xca40472d0aabafd2l },
0 },
/* 77 << 16 */
{ { 0x7a9439183b98d725l,0x1c1763e8ece1ea3cl,0x45c44ef639840476l,
0x689271e69c009133l },
{ 0xa017405f56a51fe1l,0xd54cc7253e0d0970l,0x212ad075cfe09e8bl,
0x999f21c37af7bf30l },
0 },
/* 83 << 16 */
{ { 0xdc2a2af12bf95f73l,0xb88b4ca76de82cbel,0xa31a21aaecb8e84el,
0x86d19a601b74f5bel },
{ 0xc68bf64406008019l,0xe52ab50e9431c694l,0x6375463d627ab11cl,
0xdd3eeaa03c0ef241l },
0 },
/* 89 << 16 */
{ { 0x608d9cb323f1caf8l,0x95069450b1700741l,0xe3132bd2bc2fa7aal,
0xc4f363e7f64e4f06l },
{ 0xb059c4191ca888c2l,0x1004cb1f8d17bf5dl,0x6b6ba6f934ea5711l,
0x071d94abd79b2c8al },
0 },
/* 95 << 16 */
{ { 0xc7ef9b42d147a39dl,0x36dd5d770a10cd5bl,0x3bf6cc77d0eea34bl,
0x60c84591197479c7l },
{ 0xf95860ac50ba50edl,0xe1c94a8dc4cdc8fal,0x780818d685e24a23l,
0x1950e3c0c8abbd27l },
0 },
/* 101 << 16 */
{ { 0x9908c694ae04778el,0x2e37a6790a0d36ffl,0x212a340f52b067bdl,
0xec89c9fad080b914l },
{ 0x920dc2f005ab8a23l,0xecff5c78655e8984l,0x80eedd34f66211acl,
0xa7a56366ef58d4d8l },
0 },
/* 107 << 16 */
{ { 0x4f95debe2bca42f0l,0xf0346307844334d2l,0x7003a60521d600aal,
0x1eb98c6365c5248al },
{ 0x6757b3822fa202cal,0x32765d399fb12f36l,0xe851b476d7b44c9al,
0x27cd7d1b4e0bab4cl },
0 },
/* 113 << 16 */
{ { 0xd0c1f7c9c43ea1a3l,0x73d944f49f42907dl,0xd113f34619352c92l,
0x86a1ad53b149cdc1l },
{ 0x32c34e8f848d1be4l,0xba8afda7c3d9360bl,0x17e8bc32eea8bf96l,
0x3174cae499c87febl },
0 },
/* 116 << 16 */
{ { 0x4b215f016671b47el,0xb67633ca4a8dae2al,0x2915120f79fd3cdbl,
0xc1f8a06fb064e6del },
{ 0xf4d5368cc1d57420l,0x6ada51a8e18de475l,0xa0f0d47cc749d4b0l,
0xabfa2c0074526aa5l },
0 },
/* 119 << 16 */
{ { 0xf752f6659e5ce44fl,0x7b97ebfa189d35ecl,0x9540cbb90fc609abl,
0x19c1dc6999632cc8l },
{ 0x0a957700e08ca9a8l,0xb0cd0ab7a3246a4el,0xca687cfcc8d6a544l,
0xb6281f0035f82a77l },
0 },
/* 125 << 16 */
{ { 0x547027012b818036l,0xf72315f729c8f14cl,0x95f1bc15230e74bel,
0x2e7c492f1abe20d4l },
{ 0xe1ea8b1cd7e78ab1l,0xc3f6ba59043585adl,0xac404ea9477ac053l,
0xaa6872914ec6d0e3l },
0 },
},
{
/* 0 << 24 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 24 */
{ { 0xd9d0c8c4868af75dl,0xd7325cff45c8c7eal,0xab471996cc81ecb0l,
0xff5d55f3611824edl },
{ 0xbe3145411977a0eel,0x5085c4c5722038c6l,0x2d5335bff94bb495l,
0x894ad8a6c8e2a082l },
0 },
/* 3 << 24 */
{ { 0xd1e059b21994ef20l,0x2a653b69638ae318l,0x70d5eb582f699010l,
0x279739f709f5f84al },
{ 0x5da4663c8b799336l,0xfdfdf14d203c37ebl,0x32d8a9dca1dbfb2dl,
0xab40cff077d48f9bl },
0 },
/* 4 << 24 */
{ { 0xf2369f0b879fbbedl,0x0ff0ae86da9d1869l,0x5251d75956766f45l,
0x4984d8c02be8d0fcl },
{ 0x7ecc95a6d21008f0l,0x29bd54a03a1a1c49l,0xab9828c5d26c50f3l,
0x32c0087c51d0d251l },
0 },
/* 5 << 24 */
{ { 0xf61790abfbaf50a5l,0xdf55e76b684e0750l,0xec516da7f176b005l,
0x575553bb7a2dddc7l },
{ 0x37c87ca3553afa73l,0x315f3ffc4d55c251l,0xe846442aaf3e5d35l,
0x61b911496495ff28l },
0 },
/* 7 << 24 */
{ { 0x4bdf3a4956f90823l,0xba0f5080741d777bl,0x091d71c3f38bf760l,
0x9633d50f9b625b02l },
{ 0x03ecb743b8c9de61l,0xb47512545de74720l,0x9f9defc974ce1cb2l,
0x774a4f6a00bd32efl },
0 },
/* 9 << 24 */
{ { 0x327bc002b0131e5bl,0x1739e6d5cb2514d9l,0xc8cbdafe55a81543l,
0x5bb1a36ce1137243l },
{ 0x205da3c517325327l,0xc35c1a36515a057el,0xf00f64c942925f9bl,
0xbd14633cb7d59f7al },
0 },
/* 10 << 24 */
{ { 0xae2ad171656e8c3al,0xc0e2a4631acd0705l,0x006f6a8aa0b6055cl,
0xaf4513d72b65a26el },
{ 0x3f549e14d616d5bcl,0x64ee395571253b1fl,0xe8b10bc1b8ce243al,
0xbcbeace5913a4e77l },
0 },
/* 11 << 24 */
{ { 0x47c1004341f37dbdl,0x96eccae36168ecf6l,0x65bde59d1ca46aa3l,
0x38a7027ab8698ffal },
{ 0xa2b89dc86dc34437l,0x5a0a118d43a4153fl,0x9e330a861ce22fd8l,
0x28382af6b3bbd3bcl },
0 },
/* 13 << 24 */
{ { 0x0b2e27c0d81e0271l,0xa67a7596117a317cl,0x17f08928a6723d99l,
0x71a75681485310a3l },
{ 0x90465462afb66ca9l,0x185e97ccfbbe229dl,0x6a1a606addad8fc2l,
0x2431f316b3c797cfl },
0 },
/* 15 << 24 */
{ { 0x4703401193529432l,0x1f106bdd30743462l,0xabfb9964cd66d8cal,
0x934d9d5ae9bdadd5l },
{ 0x5976d815908e3d22l,0x344a362f28e057bdl,0xf92cdadc5443dfb3l,
0x001297adf089603bl },
0 },
/* 16 << 24 */
{ { 0x7f99824f20151427l,0x206828b692430206l,0xaa9097d7e1112357l,
0xacf9a2f209e414ecl },
{ 0xdbdac9da27915356l,0x7e0734b7001efee3l,0x54fab5bbd2b288e2l,
0x4c630fc4f62dd09cl },
0 },
/* 17 << 24 */
{ { 0x4a2fce605044066bl,0x904a019cfa3a47f4l,0xba81ea9c0c5c0a60l,
0xd7e4ea0d96c098bdl },
{ 0xefe700419cd50a02l,0xc0c839d42d7f048cl,0xe2daf264e09b561fl,
0x0cbc13185034b18bl },
0 },
/* 19 << 24 */
{ { 0x11e5f2e388323f7al,0xe07a74c2927584cdl,0x1e774b3495613d2dl,
0x9c9b52c52c787488l },
{ 0x3cdd3c3ebe421f08l,0x5ff7819e223e3d5fl,0xba8739b2c1da09b9l,
0x6b7263164e8b491bl },
0 },
/* 21 << 24 */
{ { 0xb5afd13ca0943befl,0xd651772957abb1ccl,0x9d5a52dc9b61b5bcl,
0x85cefaa6806e31cdl },
{ 0xab84257a720a1deal,0x6a60261bced70d35l,0xc023f94db9d6da61l,
0x947f7eec54a0ae0el },
0 },
/* 23 << 24 */
{ { 0xc3b787569f83b787l,0xd6d249263694ddd7l,0x58d248945d70a02el,
0xac16670e8c278c6al },
{ 0x71a94d58e370b6e6l,0xe4d763840253db05l,0x99b1c98814b32cfel,
0x4e6bd870cc78cc95l },
0 },
/* 25 << 24 */
{ { 0xf5f7ca79c8b63614l,0xf3bfb2158af4903cl,0x2bdb9f5496d47bd3l,
0xd6e715300e8a63bal },
{ 0x67e90a497a93bec4l,0x8613478b8c1e63eel,0xe36bd9c8f2dde561l,
0x681486518a768689l },
0 },
/* 27 << 24 */
{ { 0xef617a9494aa531cl,0x9ac35e2fd6f4ad87l,0xbcd2a047122468fbl,
0xbd7a423fef7c5ca6l },
{ 0xab58cb52064c8040l,0x93ef4ed54a644716l,0xf7d17097c32cd48dl,
0xb249a173d17fcf42l },
0 },
/* 28 << 24 */
{ { 0x66fe0fffe298cdf5l,0x3f61bea47b2e51b6l,0x7d372117bad3afa4l,
0x6521a09cef656e2fl },
{ 0xb3b8c966e8a58fe7l,0x25203a115a47ebc7l,0xfe81588d5c4be573l,
0x6132e2f31f49a03cl },
0 },
/* 29 << 24 */
{ { 0xbbe5c108b7a7ecc4l,0x62a5a78ebfd22e4cl,0xb7974033df188bd2l,
0xcf11deea4df7d1ael },
{ 0x99cc774a53ace3eal,0xe0373a71105cc1f6l,0xd751987f133d7a20l,
0xab86ee04ae215871l },
0 },
/* 31 << 24 */
{ { 0x2094f9a280cd10e6l,0x045232aa7b8a0da7l,0x969a81b69c03244el,
0x1293b4ca7e98d955l },
{ 0x1631421dd68f3ab0l,0xa0106422c3738c82l,0xc5f43845f82c4ff9l,
0xb479acbe1aa0f58fl },
0 },
/* 33 << 24 */
{ { 0xf1db0267f67683cfl,0xa6b13c9e44ce009dl,0x04b4eed505884a69l,
0xf2ff9c16d9087a0bl },
{ 0x2c53699b3e35b4a6l,0x5020c0142369afb8l,0xf83bfe0095be37f1l,
0xd300d8c553b29d80l },
0 },
/* 34 << 24 */
{ { 0x16893055811cf4bbl,0x580dd1e55aeb5027l,0xcaf47fba5ae3c71cl,
0xde79698129ebbb07l },
{ 0xbed1db33d262cdd3l,0x78315e3748c7313bl,0xfc9561f02fe1368dl,
0xe0209698ccacacc7l },
0 },
/* 35 << 24 */
{ { 0xd61af89a781ece24l,0xf3b90626008f41e9l,0xd715dbf7c5693191l,
0x8d6c05de6f299edel },
{ 0xf18d62637ca50aacl,0x7987bf5cb0dd5fdcl,0x424136bd2cfa702bl,
0xaa7e237ded859db2l },
0 },
/* 36 << 24 */
{ { 0xde7169e4e5d41796l,0x6700333e33c0a380l,0xe20b95780343a994l,
0xa745455e1fb3a1c3l },
{ 0x97e0ff88ce029a7fl,0x3b3481c976e384bcl,0x028b339dddad5951l,
0xa1fdcdbae4b95cfcl },
0 },
/* 37 << 24 */
{ { 0xcc9221baed20c6adl,0xf2619a51fa9c73aal,0xfc2cff847d7f55a5l,
0xd56c23d65f01d4dal },
{ 0x6d20f88cb3d84d5fl,0x048825f75dcc615dl,0x73634d3f85631a6el,
0xa57a02e3ad7b2e2dl },
0 },
/* 39 << 24 */
{ { 0x067a8dcf08aa81ffl,0x62948258c23f3d16l,0xb61bd04316f2fe7bl,
0xf250f769b6a766b1l },
{ 0x32df97246d0b241el,0xb736e4bb714e5f88l,0x50da15022c1d40d7l,
0x013e0edebdd285a4l },
0 },
/* 40 << 24 */
{ { 0x1b92c3a0181a5d8fl,0x6429531d9adb77c7l,0x629152b53af710eel,
0x4e3f27370bd5647el },
{ 0xfb7c392b77553c7dl,0xa930abacefe78c87l,0xf80c8cd6a05a6991l,
0x751469b71be5f6f5l },
0 },
/* 41 << 24 */
{ { 0xf89f2b0b3e2f2af0l,0x52f634099eefc39al,0x505005c679906cb6l,
0x820c2216b2de0b1el },
{ 0x96f0f2831f20ad7al,0xcd33125c718ffcb0l,0xf6130ef278f0c578l,
0x4cda2471d0b76b95l },
0 },
/* 43 << 24 */
{ { 0x611dd83f39485581l,0x96c47051803e1b20l,0xefacc736830f44c7l,
0x5588d8ce688b12bal },
{ 0x44f4edf3eee70fadl,0x1026dfd8869539f7l,0xa4c146ee8ddb0e00l,
0x9f4f55816efb41c8l },
0 },
/* 44 << 24 */
{ { 0x6036ed0236cbace7l,0x5a70e4abada837ddl,0xf06918aff10b2fefl,
0x08a8a9f69fd31590l },
{ 0x6c4a1ba6916af88dl,0x4868bc1466016037l,0x06d345af164228a9l,
0x2c1961d19b550dd9l },
0 },
/* 45 << 24 */
{ { 0x8b72775c6851f0acl,0x7827242bd70f5975l,0x2de91f1e34db4a6fl,
0x586bf3d58538f5eel },
{ 0xf0a15aed25d9a09bl,0x43018e56f74deb46l,0xc2af1ad0f50e0e67l,
0x49cc9528b10cff6fl },
0 },
/* 46 << 24 */
{ { 0x05eb146c9d55c425l,0xe2b557ccbc62261fl,0x2a716301bd077089l,
0x83a63c81e0527d02l },
{ 0x055ff7f8a0d9203bl,0x05d09f0525bf5a04l,0x2e44545fb3eb0b30l,
0xed7c57c4d279a1adl },
0 },
/* 47 << 24 */
{ { 0x6928f6e45e0ebdd5l,0xd7e44ddf092d233bl,0xe7148066d1b7026fl,
0xf645a2e53d5f25c3l },
{ 0x6eeb25ee58ff9eb4l,0x60f1fcf737f87ebfl,0x9eaaf1e5c4679c70l,
0x4609fb13b7b7dc7el },
0 },
/* 48 << 24 */
{ { 0xae915f5d5fa067d1l,0x4134b57f9668960cl,0xbd3656d6a48edaacl,
0xdac1e3e4fc1d7436l },
{ 0x674ff869d81fbb26l,0x449ed3ecb26c33d4l,0x85138705d94203e8l,
0xccde538bbeeb6f4al },
0 },
/* 49 << 24 */
{ { 0x27f317af2b33987fl,0xd2d3cf5d51e59588l,0x333999bd031f27c9l,
0x6ddfa3f22e0a3306l },
{ 0x23e0e651990041b0l,0xf028aba1585837acl,0x1c6ad72b25226f53l,
0xf243c991d1fca64al },
0 },
/* 51 << 24 */
{ { 0x72b8a13272cbae1fl,0xfe0b1c4fbfdbd64al,0x98bc7876c5e76921l,
0x51c726bfdb1f5af7l },
{ 0x97e88a842c186e8bl,0x9ed99516ed8eb7b4l,0x3e54a17dafc818ebl,
0xfcfbf25a1e8f77d8l },
0 },
/* 52 << 24 */
{ { 0x7780d7d68f7d5c6el,0x6725b49a454101e6l,0xceddc26586b0770cl,
0xc26624615666f504l },
{ 0x16b77477ce040f75l,0x13f9113c293f8b45l,0xff0cfa07e2dcc91el,
0x1948d8bd41c202f5l },
0 },
/* 53 << 24 */
{ { 0x4c6ae39a1dfbe13al,0xafb1e5c46be9c200l,0x39e728d168bb08c3l,
0xc794b905acc9166fl },
{ 0x1cb0dec2d9c7c3e4l,0xc4c3053289f14d65l,0x4af80801a6a9d609l,
0x79d7e82de0d6ab24l },
0 },
/* 55 << 24 */
{ { 0xb905c6af8ad4cf6el,0x785590b0f6d1be13l,0x78f402c2a0ef76bel,
0x739b22ea5c19a40bl },
{ 0xd4d3262553d596b6l,0x01598eb4d571666bl,0xf8dc150b8173486al,
0xd8aa43af15e94f09l },
0 },
/* 57 << 24 */
{ { 0xcfa387cd984393b5l,0x1645659e21a1bf92l,0xb4ab3966dd46c7eel,
0xcf8c296d89482623l },
{ 0x72e4d01cf976b4c0l,0x44ad07e8fa0fa5ebl,0xd6c82681b486fdd2l,
0x2d9074f89b8845b4l },
0 },
/* 59 << 24 */
{ { 0x96e4fc08d96862dbl,0xf9e29bb6c50c14b2l,0xfedaad64f8f9be75l,
0xab6b2d79ae9e1274l },
{ 0x033e3eb58d84dec0l,0xc136904ccbd113e7l,0xb82b0aed6061f289l,
0x3476d9247b699e25l },
0 },
/* 60 << 24 */
{ { 0x8fb5ceeb969231dcl,0xaed13be1686ff6cdl,0x71d7c67bdd69db87l,
0x49613e08fb53f33al },
{ 0x2899729ead8e802fl,0x83bfde49d1982a1dl,0x675c45ea878239d2l,
0xb7bf59cd0d8240d3l },
0 },
/* 61 << 24 */
{ { 0x853d8cd1baf53b8bl,0x9c73d04cff95fc18l,0xae8a94412d1d6aacl,
0xd8a15ce901500b70l },
{ 0xaef813499aacba59l,0x2cd2ba0ac493cd8dl,0x01c37ee1f398f034l,
0xed72d51d0f7299fcl },
0 },
/* 63 << 24 */
{ { 0x2c204940e7592fb1l,0xcc1bb19b49366f08l,0x31855e8a7c927935l,
0x16f7e9a2c590b81dl },
{ 0xa5fbb7c1ed8df240l,0x7b5204122de2d7f5l,0x7eb1eb989a637588l,
0x5ef4eca89540d2e8l },
0 },
/* 64 << 24 */
{ { 0x55d5c68da61a76fal,0x598b441dca1554dcl,0xd39923b9773b279cl,
0x33331d3c36bf9efcl },
{ 0x2d4c848e298de399l,0xcfdb8e77a1a27f56l,0x94c855ea57b8ab70l,
0xdcdb9dae6f7879bal },
0 },
/* 65 << 24 */
{ { 0x811e14dd9594afb8l,0xaf6c1b10d349124al,0x8488021b6528a642l,
0xecf6834341cf1447l },
{ 0x7a40acb756924446l,0xd9c11bbed98ec4cfl,0x0cef00bfb2bff163l,
0xfaaad8015432803bl },
0 },
/* 71 << 24 */
{ { 0x5a217d5e6b075cbel,0x7ef88d1dc89b513bl,0xb6d015da0531c93bl,
0x477b502a6333834al },
{ 0x4655e48b2fb458d5l,0x93f21a7cb7674ca8l,0xa0616786502d1f3al,
0x82d16d17f26bb6ccl },
0 },
/* 77 << 24 */
{ { 0x3d995aa9183c1688l,0xa125906c3766d2e8l,0x23ed7871c5f10d5bl,
0xdfe1e1cc6df80368l },
{ 0x8bfcb54271eaae2cl,0xe94e6f910945a7bbl,0xd543ef90862f650al,
0x0dc043b803eed66bl },
0 },
/* 83 << 24 */
{ { 0x0c6a5620060d2ccdl,0xcd8200e37a8a03a4l,0x6018d304793867e6l,
0xad23dd61a74d054dl },
{ 0x5a856faeebc21eb4l,0x66be16714b5cd7dbl,0xe0d0441ec75f8c9dl,
0xb80ca9ecf90dbc6dl },
0 },
/* 89 << 24 */
{ { 0xbd6902ccd24692cbl,0xbcce6bbc21920408l,0x40f120ca55dec4c5l,
0xd9f1f5ef5361c8b3l },
{ 0x535d368226935dffl,0x9635447b01a9998al,0x8c4ec40d99e36d12l,
0xbaeef8912b793369l },
0 },
/* 95 << 24 */
{ { 0xded3a51c1cd887ebl,0xd43225568376515cl,0xdaf3a2271ca7c097l,
0x089156fdecd4d90cl },
{ 0x2b354810ca0727c9l,0xb7257c1966c19d8cl,0x5e68a379432d5072l,
0x75c04c2443e585c7l },
0 },
/* 101 << 24 */
{ { 0xb5ba2a8fe5e0952fl,0x2c2d086811040b4el,0x27448bd5f818e253l,
0x720f677987a92c85l },
{ 0x2c9b2367b9d035fal,0xf18ad8ce16c15ab9l,0xd65a360841bd57eel,
0xeb4b07c9ff6ae897l },
0 },
/* 107 << 24 */
{ { 0xcffb6d71d38589acl,0x812372920fa509d3l,0x94db5ba6e54725e8l,
0x1ad2b4206cfbb825l },
{ 0x8592c1f238cfb9f2l,0xbe8e917e0eec6a27l,0x53921bfe9d93d42fl,
0x1aa95e6269454a35l },
0 },
/* 113 << 24 */
{ { 0xc25e8934d898049dl,0xeeaf4e6d3bb3d459l,0xc3ac44447d29ad10l,
0xccdf9fcbcef8fa04l },
{ 0x1d995a3fb9679cb9l,0x3d6c5eab46fabc14l,0xd3849ff066385d4dl,
0xc0eb21bacff08be2l },
0 },
/* 116 << 24 */
{ { 0x8213c71e90d13fd6l,0x114321149bb6b733l,0xaaf8037880ac4902l,
0xb24e046b555f7557l },
{ 0x5f6ed2881db79832l,0xd493a758ac760e5dl,0xbc30a2a7a1c0f570l,
0xa5009807161174e3l },
0 },
/* 119 << 24 */
{ { 0x9e9b864a6889e952l,0xee908932f352f31al,0xe421f2423166b932l,
0x6dd4aa3b7ddbdb35l },
{ 0x553cc5639e8b88a4l,0x05457f171f04704dl,0x1dcc3004c9554e6bl,
0x3a4a3a253f1b61e7l },
0 },
/* 125 << 24 */
{ { 0x7ac0a5e7c56e303al,0x7c7bab64037b0a19l,0x11f103fcc8d29a2bl,
0x7d99dc46cf0b1340l },
{ 0x0481588ceffba92el,0x8a817356b04e77bcl,0x19edf4dbce1b708dl,
0xa2a1f7a6e6f9d52cl },
0 },
},
{
/* 0 << 32 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 32 */
{ { 0x202886024147519al,0xd0981eac26b372f0l,0xa9d4a7caa785ebc8l,
0xd953c50ddbdf58e9l },
{ 0x9d6361ccfd590f8fl,0x72e9626b44e6c917l,0x7fd9611022eb64cfl,
0x863ebb7e9eb288f3l },
0 },
/* 3 << 32 */
{ { 0xa18f07e0e90fb21el,0x00fd2b80bba7fca1l,0x20387f2795cd67b5l,
0x5b89a4e7d39707f7l },
{ 0x8f83ad3f894407cel,0xa0025b946c226132l,0xc79563c7f906c13bl,
0x5f548f314e7bb025l },
0 },
/* 4 << 32 */
{ { 0x0ee6d3a7c35d8794l,0x042e65580356bae5l,0x9f59698d643322fdl,
0x9379ae1550a61967l },
{ 0x64b9ae62fcc9981el,0xaed3d6316d2934c6l,0x2454b3025e4e65ebl,
0xab09f647f9950428l },
0 },
/* 5 << 32 */
{ { 0xc1b3d3d331b85f09l,0x0f45354aa88ae64al,0xa8b626d32fec50fdl,
0x1bdcfbd4e828834fl },
{ 0xe45a2866cd522539l,0xfa9d4732810f7ab3l,0xd8c1d6b4c905f293l,
0x10ac80473461b597l },
0 },
/* 7 << 32 */
{ { 0xbbb175146fc627e2l,0xa0569bc591573a51l,0xa7016d9e358243d5l,
0x0dac0c56ac1d6692l },
{ 0x993833b5da590d5fl,0xa8067803de817491l,0x65b4f2124dbf75d0l,
0xcc960232ccf80cfbl },
0 },
/* 9 << 32 */
{ { 0x35d742806cf3d65bl,0x4b7c790678b28dd9l,0xc4fcdd2f95e1f85fl,
0xcf6fb7ba591350b6l },
{ 0x9f8e3287edfc26afl,0xe2dd9e73c2d0ed9al,0xeab5d67f24cbb703l,
0x60c293999a759a5al },
0 },
/* 10 << 32 */
{ { 0xcf8625d7708f97cdl,0xfb6c5119ea419de4l,0xe8cb234dc03f9b06l,
0x5a7822c335e23972l },
{ 0x9b876319a284ff10l,0xefcc49977093fdcel,0xdddfd62a878fe39al,
0x44bfbe53910aa059l },
0 },
/* 11 << 32 */
{ { 0xfb93ca3d7ca53d5fl,0x432649f004379cbfl,0xf506113acba2ff75l,
0x4594ae2103718b35l },
{ 0x1aa6cee50d044627l,0xc0e0d2b7f5c94aa2l,0x0bf33d3dee4dd3f5l,
0xaca96e288477c97al },
0 },
/* 13 << 32 */
{ { 0x995c068e6861a713l,0xa9ba339463de88dcl,0xab954344689a964fl,
0x58195aec0f5a0d6cl },
{ 0xc5f207d5c98f8b50l,0x6600cd280c98ccf6l,0x1a680fe339c3e6c2l,
0xa23f3931660e87c0l },
0 },
/* 15 << 32 */
{ { 0x43bc1b42c78440a1l,0x9a07e22632ac6c3fl,0xaf3d7ba10f4bcd15l,
0x3ad43c9da36814c6l },
{ 0xca11f742a0c9c162l,0xd3e06fc6c90b96ecl,0xeace6e766bf2d03fl,
0x8bcd98e8f8032795l },
0 },
/* 16 << 32 */
{ { 0xe27a6dbe305406ddl,0x8eb7dc7fdd5d1957l,0xf54a6876387d4d8fl,
0x9c479409c7762de4l },
{ 0xbe4d5b5d99b30778l,0x25380c566e793682l,0x602d37f3dac740e3l,
0x140deabe1566e4ael },
0 },
/* 17 << 32 */
{ { 0x7be3ddb77099ae96l,0x83d6157306e0da6al,0x31bcac5f74bf9870l,
0x7f7aa3b422b256f1l },
{ 0xff84d63caa212e20l,0x7d636556decdc8b5l,0x8fed824dbf909d62l,
0x62d70186e5fb1445l },
0 },
/* 19 << 32 */
{ { 0x8796989f67d8ab8al,0xa46282253700b772l,0xa353cadf05f799abl,
0x7a8be2741eeb06bbl },
{ 0xf74a367e4653b134l,0x4e43449660c70340l,0xc99b6d6b72e10b18l,
0xcf1adf0f1ba636e1l },
0 },
/* 21 << 32 */
{ { 0xb0260fb57c6a0958l,0xae791b9c2fc2731el,0xb339f2bf8ce6e575l,
0x769214a816e2639fl },
{ 0xbaf422e1346da10el,0xc7805fdf7a56f463l,0xf47b6b766f845428l,
0x8f21369e38492948l },
0 },
/* 23 << 32 */
{ { 0x2bac716a17931a90l,0x42a5e27cc8267236l,0xfd4b367c0bafeb78l,
0x5856e69c6173db02l },
{ 0xfaac7358973d73c4l,0xbfbffcc36768d285l,0x05444ff2be3eb243l,
0x9f8d3692f3c323fel },
0 },
/* 25 << 32 */
{ { 0xac296863221c31a9l,0x46f3a24ef1ca99a9l,0xd927648a7535a864l,
0xd7e3c47d5848e497l },
{ 0xc19595b782a98ac7l,0x9a9bf627273ff554l,0xe29aa48fb62298a1l,
0xed3f068ee797e9e3l },
0 },
/* 27 << 32 */
{ { 0x8d16a1660eb9227bl,0xe04c6bc58c37c74bl,0xd1be9585cc1ef78cl,
0xa5cfe1962e929d9bl },
{ 0xc9b0ea21417c1cc6l,0x316352d345b79599l,0xc1502c4dc2d54af7l,
0xe7f4412990f83445l },
0 },
/* 28 << 32 */
{ { 0x0f6704abd95917e8l,0x168dafaeaec6e899l,0xd2833e8cde710027l,
0x34ea277e68ee3c59l },
{ 0x3689e2350054d4e5l,0x6f3a568d11013943l,0xb5ce1ff69bc2b144l,
0x705bfe7e72b33a59l },
0 },
/* 29 << 32 */
{ { 0x1baa4f02c8e93284l,0xec6b93ea3c97d3e8l,0xb656c149034f8b32l,
0x3cab9063cd4cc69fl },
{ 0xd8de5989d61031ccl,0xcf85329fc1b1de1dl,0xf18b78b323d8cb9al,
0x6dc04bc61a6b69eal },
0 },
/* 31 << 32 */
{ { 0x79cf86314a1d4f8fl,0xda5ba331aa47394el,0x36f9c0be8ff20527l,
0xccdc719bbc7097f6l },
{ 0x2304a3ba5cb052bbl,0xab80cdea392f0ab5l,0x0ac1858bf38de03bl,
0xd6e2119878a8f55dl },
0 },
/* 33 << 32 */
{ { 0x6bdebc26584bc618l,0x499f0f1894591499l,0xd35ed50bf4a573dal,
0x5a622e73ff2792d0l },
{ 0x8510cbce68d41a3bl,0x6610f43c94e919afl,0x4527373dc163c8a1l,
0x50afb46f280a8a7dl },
0 },
/* 34 << 32 */
{ { 0x33e779cd8de7707al,0xf94bbd94438f535bl,0x61159864be144878l,
0xb6623235f098ce4al },
{ 0x6813b71ba65568d8l,0x6603dd4c2f796451l,0x9a97d88c8b9ee5b2l,
0xaaa4593549d5926cl },
0 },
/* 35 << 32 */
{ { 0x2e01fc75ebe75bf2l,0x8270318d6cbdd09cl,0x534e4f21d3f1a196l,
0x6c9eaeca9459173el },
{ 0xda454fe0b642a1d4l,0xe45b69bfc4664c4al,0x4724bd423e078dc8l,
0x39ac8fe603336b81l },
0 },
/* 36 << 32 */
{ { 0x0a2e53dd302e9485l,0x75882a19deaa9ff4l,0xe283242eac8de4ddl,
0x2742105cc678dba7l },
{ 0x9f6f0a88cdb3a8a2l,0x5c9d3338f722e894l,0xf1fa3143c38c31c1l,
0x22137e2db18c77acl },
0 },
/* 37 << 32 */
{ { 0xd821665e368d7835l,0x3300c012b596c6ecl,0xb60da7353557b2ddl,
0x6c3d9db6fb8cf9ael },
{ 0x092d8b0b8b4b0d34l,0x900a0bf4b3d4107dl,0x75371a245e813ec3l,
0x91125a17f2ad56d5l },
0 },
/* 39 << 32 */
{ { 0x5e6594e2fe0073e6l,0x908a93778be13cb7l,0xa2c3d5c8ac26617cl,
0xa0bab085c317c6b9l },
{ 0x0bdc183b83664109l,0x6bbba2b468f9dcd9l,0x697a50785814be41l,
0x12a59b183a5e5f98l },
0 },
/* 40 << 32 */
{ { 0xbd9802e6c30fa92bl,0x5a70d96d9a552784l,0x9085c4ea3f83169bl,
0xfa9423bb06908228l },
{ 0x2ffebe12fe97a5b9l,0x85da604971b99118l,0x9cbc2f7f63178846l,
0xfd96bc709153218el },
0 },
/* 41 << 32 */
{ { 0xb5a85c61bfa70ca6l,0x4edc7f2d4c1f745fl,0x05aea9aa3ded1eb5l,
0x750385efb82e5918l },
{ 0xdcbc53221fdc5164l,0x32a5721f6794184el,0x5c5b2269ff09c90bl,
0x96d009115323ca42l },
0 },
/* 43 << 32 */
{ { 0x12c73403f43f1440l,0xc94813eb66cc1f50l,0x04d5957b9b035151l,
0x76011bca4bfaafa8l },
{ 0x56806c13574f1f0al,0x98f63a4697652a62l,0x17c63ef4a3178de9l,
0xf7ce961a65009a52l },
0 },
/* 44 << 32 */
{ { 0x58f92aebe4173516l,0xdc37d99275e42d44l,0x76dcec5b4d48e1bal,
0x07e0608e25676448l },
{ 0xa1877bcd1d4af36al,0x38b62b3c5a8ccf0cl,0x60522e88aeab7f75l,
0xbef213ed5e03547al },
0 },
/* 45 << 32 */
{ { 0x8acd5ba4e6ed0282l,0x792328f06a04531dl,0xe95de8aa80297e50l,
0x79d33ce07d60e05cl },
{ 0xcb84646dd827d602l,0xd3421521302a608cl,0x867970a4524f9751l,
0x05e2f7e347a75734l },
0 },
/* 46 << 32 */
{ { 0x64e4de4a01c66263l,0xbcfe16a4d0033d4cl,0x359e23d4817de1dcl,
0xb01e812ec259449cl },
{ 0x90c9ade2df53499fl,0xabbeaa27288c6862l,0x5a655db4cd1b896fl,
0x416f10a5a022a3d6l },
0 },
/* 47 << 32 */
{ { 0x0d17e1ef98601fd5l,0x9a3f85e0eab76a6fl,0x0b9eaed1510b80a1l,
0x3282fd747ec30422l },
{ 0xaca5815a70a4a402l,0xfad3121cf2439cb2l,0xba251af81fccabd6l,
0xb382843fa5c127d5l },
0 },
/* 48 << 32 */
{ { 0x958381db1782269bl,0xae34bf792597e550l,0xbb5c60645f385153l,
0x6f0e96afe3088048l },
{ 0xbf6a021577884456l,0xb3b5688c69310ea7l,0x17c9429504fad2del,
0xe020f0e517896d4dl },
0 },
/* 49 << 32 */
{ { 0x442fdfe920cd1ebel,0xa8317dfa6a250d62l,0x5214576d082d5a2dl,
0xc1a5d31930803c33l },
{ 0x33eee5b25e4a2cd0l,0x7df181b3b4db8011l,0x249285145b5c6b0bl,
0x464c1c5828bf8837l },
0 },
/* 51 << 32 */
{ { 0x5464da65d55babd1l,0x50eaad2a0048d80fl,0x782ca3dd2b9bce90l,
0x41107164ab526844l },
{ 0xad3f0602d56e0a5fl,0xc1f0248018455114l,0xe05d8dcab1527931l,
0x87818cf5bb1295d7l },
0 },
/* 52 << 32 */
{ { 0x95aeb5bd483e333al,0x003af31effeaededl,0xfc5532e87efb1e4fl,
0xb37e0fb52dfa24a5l },
{ 0x485d4cecdc140b08l,0xb81a0d23983bd787l,0xd19928dae8d489fdl,
0x3fa0312c177b9dbdl },
0 },
/* 53 << 32 */
{ { 0xade391470c6d7e88l,0x4fd1e8cd47072c45l,0x145760fed5a65c56l,
0x198960c7be4887del },
{ 0xfe7974a82640257al,0xf838a19b774febefl,0xb2aecad11b6e988el,
0x643f44fa448e4a8fl },
0 },
/* 55 << 32 */
{ { 0xc35ceffdee756e71l,0x2c1364d88ea932c4l,0xbd594d8d837d2d9fl,
0x5b334bdac9d74d48l },
{ 0x72dc3e03b8fac08bl,0x38f01de006fdf70fl,0x4bde74b31d298ba4l,
0x2598d183ad5f42a9l },
0 },
/* 57 << 32 */
{ { 0x02c6ba15f62befa2l,0x6399ceb55c8ccee9l,0x3638bd6e08d3473el,
0xb8f1f13d2f8f4a9cl },
{ 0x50d7560655827a74l,0x8d6e65f33fb4f32cl,0x40a5d21189ee621al,
0x6d3f9e11c4474716l },
0 },
/* 59 << 32 */
{ { 0xcb633a4ce9b2bb8fl,0x0475703f8c529253l,0x61e007b5a8878873l,
0x342d77ba14504159l },
{ 0x2925175c313578dfl,0x4e631897b6b097f1l,0xe64d138929350e41l,
0x2fb20608ec7adccdl },
0 },
/* 60 << 32 */
{ { 0xa560c234d5c0f5d1l,0x74f84bf62bdef0efl,0x61ed00005cbd3d0bl,
0xc74262d087fb408bl },
{ 0xad30a6496cc64128l,0x708e3a31a4a8b154l,0xaf21ce2637f82074l,
0x31d33b38204c9a74l },
0 },
/* 61 << 32 */
{ { 0x8f609fe04cc2f575l,0xe44f9784b35488c4l,0x0d464bb6180fa375l,
0x4f44d5d2de2247b8l },
{ 0xf538eb38141ef077l,0x781f8f6e8fa456a4l,0x67e9a46429b4f39dl,
0x245d21e8b704c3e9l },
0 },
/* 63 << 32 */
{ { 0x45a94ee858ffa7cdl,0x4d38bc6818053549l,0x0b4bc65a499d79f3l,
0xa81e3ab09159cab7l },
{ 0xf13716efb47898cel,0xb7ee597c2e2d9044l,0x09396b90e6158276l,
0x5c644dc36a533fcel },
0 },
/* 64 << 32 */
{ { 0xcca4428dbbe5a1a9l,0x8187fd5f3126bd67l,0x0036973a48105826l,
0xa39b6663b8bd61a0l },
{ 0x6d42deef2d65a808l,0x4969044f94636b19l,0xf611ee47dd5d564cl,
0x7b2f3a49d2873077l },
0 },
/* 65 << 32 */
{ { 0xbe4c16c3bf429668l,0xd32f56f0ef35db3bl,0xae8355de9ea4e3f1l,
0x8f66c4a2a450944el },
{ 0xafab94c8b798fbe2l,0x18c57baff7f3d5cfl,0x692d191c5cfa5c7dl,
0xc0c25f69a689daebl },
0 },
/* 71 << 32 */
{ { 0x15fb3ae398340d4cl,0xa8b9233a7de82134l,0x44971a545fc0dbc6l,
0xb2b4f0f3a1d3f094l },
{ 0x8d9eaba1b6242bd4l,0xd8aad777787cc557l,0xb1ab8b7870d1a2bbl,
0x5d20f48cead3bfe3l },
0 },
/* 77 << 32 */
{ { 0x4dacbf09a2bf9772l,0x969a4c4357aa8457l,0xadbe673b273ebfc5l,
0xb85582bb927778c9l },
{ 0x748371855c03752cl,0xc337bc6bc2f60d11l,0x2c3838e4ad456a09l,
0xaf479c897e381842l },
0 },
/* 83 << 32 */
{ { 0x8530ae751b1aea77l,0xf43b923ba8310cb9l,0x9c1a60c6bf4dd6c5l,
0x11885b863e3aaaa5l },
{ 0x594a8fa90f69821el,0x1eece3d66bc37998l,0x1fd718f518df32bfl,
0x1c00c7d461d84082l },
0 },
/* 89 << 32 */
{ { 0xd67ee3a4c763c3cfl,0x760b128305969234l,0x1a5ff331ec17f2d1l,
0x25f0392a84fecfefl },
{ 0xb1bc004a3a80d47el,0xf450bf08182fee3bl,0xf11117681e19751el,
0x5b4127dae28ed23fl },
0 },
/* 95 << 32 */
{ { 0x91e00defdaf08f09l,0x7ef41724f4738a07l,0x990fbbceaf1263fcl,
0x779121e3e6eeb5aal },
{ 0x3e162c7a5a3ecf52l,0x73ae568a51be5faal,0x8bea1bfa451be8a9l,
0x3e8cd5db90e11097l },
0 },
/* 101 << 32 */
{ { 0x90390f7224d27159l,0x685c139efd07e5d4l,0x4e21e44a3bc234a8l,
0x61b50f34eeb14dacl },
{ 0x7beb0aa087555d58l,0x781326bcc806f0d2l,0xc289537a1eb7199fl,
0x44a31a037b42766el },
0 },
/* 107 << 32 */
{ { 0x7d778206edde4b40l,0x34539fa18eb92fcdl,0x5a0bdd79bf52a552l,
0x066d3672fdcca75el },
{ 0xd73fa893e28b5a5bl,0xb495135876c38698l,0x44469b0114ae16cfl,
0xb428c763691d6618l },
0 },
/* 113 << 32 */
{ { 0x9022db8b69196353l,0x152ebb7dd7a4afd0l,0xea36fae57fcf1765l,
0xa8fc00ba0decea8al },
{ 0x1047206a0c0b0414l,0x6607d8ade076df28l,0xf343e19966b8aba1l,
0x7f03c1ad311e208dl },
0 },
/* 116 << 32 */
{ { 0xe6b4c96e888f3870l,0xa21bb618fe544042l,0x7122ee88bd817699l,
0xcb38ecebfa66e173l },
{ 0x6ed5b3482c9cc05fl,0x591affc84ae0fd9el,0x7cf325ac6e7aaac0l,
0x2397c053d05e5be0l },
0 },
/* 119 << 32 */
{ { 0x95363f61eaa96552l,0xe03bc6b38fb15b73l,0xa5c5808f2c389053l,
0xcd021e6c11b2030cl },
{ 0x349ca9bdc038e30al,0x0a3368d4165afa2cl,0x043630debbfa1cc6l,
0xb8c4456ba7cdbf69l },
0 },
/* 125 << 32 */
{ { 0x63aa3315fd7d2983l,0xaf4c96afa6a04bedl,0x3a5c0b5410814a74l,
0x9906f5e30f9b0770l },
{ 0x622be6523676986fl,0x09ac5bc0173e7cb5l,0x1c40e56a502c8b3cl,
0xabb9a0f7253ce8f6l },
0 },
},
{
/* 0 << 40 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 40 */
{ { 0x889f6d65533ef217l,0x7158c7e4c3ca2e87l,0xfb670dfbdc2b4167l,
0x75910a01844c257fl },
{ 0xf336bf07cf88577dl,0x22245250e45e2acel,0x2ed92e8d7ca23d85l,
0x29f8be4c2b812f58l },
0 },
/* 3 << 40 */
{ { 0xc51e414351facc61l,0xbaf2647de68a25bcl,0x8f5271a00ff872edl,
0x8f32ef993d2d9659l },
{ 0xca12488c7593cbd4l,0xed266c5d02b82fabl,0x0a2f78ad14eb3f16l,
0xc34049484d47afe3l },
0 },
/* 4 << 40 */
{ { 0xa6f3d574c005979dl,0xc2072b426a40e350l,0xfca5c1568de2ecf9l,
0xa8c8bf5ba515344el },
{ 0x97aee555114df14al,0xd4374a4dfdc5ec6bl,0x754cc28f2ca85418l,
0x71cb9e27d3c41f78l },
0 },
/* 5 << 40 */
{ { 0x09c1670209470496l,0xa489a5edebd23815l,0xc4dde4648edd4398l,
0x3ca7b94a80111696l },
{ 0x3c385d682ad636a4l,0x6702702508dc5f1el,0x0c1965deafa21943l,
0x18666e16610be69el },
0 },
/* 7 << 40 */
{ { 0x45beb4ca2a604b3bl,0x56f651843a616762l,0xf52f5a70978b806el,
0x7aa3978711dc4480l },
{ 0xe13fac2a0e01fabcl,0x7c6ee8a5237d99f9l,0x251384ee05211ffel,
0x4ff6976d1bc9d3ebl },
0 },
/* 9 << 40 */
{ { 0xdde0492316e043a2l,0x98a452611dd3d209l,0xeaf9f61bd431ebe8l,
0x00919f4dbaf56abdl },
{ 0xe42417db6d8774b1l,0x5fc5279c58e0e309l,0x64aa40613adf81eal,
0xef419edabc627c7fl },
0 },
/* 10 << 40 */
{ { 0x3919759239ef620fl,0x9d47284074fa29c4l,0x4e428fa39d416d83l,
0xd1a7c25129f30269l },
{ 0x46076e1cd746218fl,0xf3ad6ee8110d967el,0xfbb5f434a00ae61fl,
0x3cd2c01980d4c929l },
0 },
/* 11 << 40 */
{ { 0xfa24d0537a4af00fl,0x3f938926ca294614l,0x0d700c183982182el,
0x801334434cc59947l },
{ 0xf0397106ec87c925l,0x62bd59fc0ed6665cl,0xe8414348c7cca8b5l,
0x574c76209f9f0a30l },
0 },
/* 13 << 40 */
{ { 0x95be42e2bb8b6a07l,0x64be74eeca23f86al,0xa73d74fd154ce470l,
0x1c2d2857d8dc076al },
{ 0xb1fa1c575a887868l,0x38df8e0b3de64818l,0xd88e52f9c34e8967l,
0x274b4f018b4cc76cl },
0 },
/* 15 << 40 */
{ { 0x3f5c05b4f8b7559dl,0x0be4c7acfae29200l,0xdd6d3ef756532accl,
0xf6c3ed87eea7a285l },
{ 0xe463b0a8f46ec59bl,0x531d9b14ecea6c83l,0x3d6bdbafc2dc836bl,
0x3ee501e92ab27f0bl },
0 },
/* 16 << 40 */
{ { 0x8df275455922ac1cl,0xa7b3ef5ca52b3f63l,0x8e77b21471de57c4l,
0x31682c10834c008bl },
{ 0xc76824f04bd55d31l,0xb6d1c08617b61c71l,0x31db0903c2a5089dl,
0x9c092172184e5d3fl },
0 },
/* 17 << 40 */
{ { 0x7b1a921ea6b3340bl,0x6d7c4d7d7438a53el,0x2b9ef73c5bf71d8fl,
0xb5f6e0182b167a7cl },
{ 0x5ada98ab0ce536a3l,0xee0f16f9e1fea850l,0xf6424e9d74f1c0c5l,
0x4d00de0cd3d10b41l },
0 },
/* 19 << 40 */
{ { 0xd542f522a6533610l,0xfdde15a734ec439al,0x696560fedc87dd0dl,
0x69eab421e01fd05fl },
{ 0xca4febdc95cc5988l,0x839be396c44d92fbl,0x7bedff6daffe543bl,
0xd2bb97296f6da43al },
0 },
/* 21 << 40 */
{ { 0x5bc6dea80b8d0077l,0xb2adf5d1ea9c49efl,0x7104c20eaafe8659l,
0x1e3604f37866ee7el },
{ 0x0cfc7e7b3075c8c5l,0x5281d9bb639c5a2bl,0xcbdf42494bc44ee3l,
0x835ab066655e9209l },
0 },
/* 23 << 40 */
{ { 0x78fbda4b90b94ffal,0x447e52eb7beb993cl,0x920011bc92620d15l,
0x7bad6ecf481fd396l },
{ 0xad3bd28ba989a09el,0x20491784a3e62b78l,0xcdcd7096b07bd9efl,
0x9bf5bb7337d780adl },
0 },
/* 25 << 40 */
{ { 0xbe911a71a976c8d4l,0xba0346743fdd778el,0x2359e7434cf87ea1l,
0x8dccf65f07ebb691l },
{ 0x6c2c18eb09746d87l,0x6a19945fd2ecc8fal,0xc67121ff2ffa0339l,
0x408c95ba9bd9fc31l },
0 },
/* 27 << 40 */
{ { 0xa317204bcaa5da39l,0xd390df7468bf53d7l,0x56de18b2dbd71c0dl,
0xcb4d3bee75184779l },
{ 0x815a219499d920a5l,0x9e10fb4ecf3d3a64l,0x7fd4901dfe92e1eel,
0x5d86d10d3ab87b2el },
0 },
/* 28 << 40 */
{ { 0x24f2a692840bb336l,0x7c353bdca669fa7bl,0xda20d6fcdec9c300l,
0x625fbe2fa13a4f17l },
{ 0xa2b1b61adbc17328l,0x008965bfa9515621l,0x49690939c620ff46l,
0x182dd27d8717e91cl },
0 },
/* 29 << 40 */
{ { 0x98e9136c878303e4l,0x2769e74fd1e65efdl,0x6154c545809da56el,
0x8c5d50a04301638cl },
{ 0x10f3d2068214b763l,0x2da9a2fc44df0644l,0xca912bab588a6fcdl,
0xe9e82d9b227e1932l },
0 },
/* 31 << 40 */
{ { 0xcbdc4d66d080e55bl,0xad3f11e5b8f98d6bl,0x31bea68e18a32480l,
0xdf1c6fd52c1bcf6el },
{ 0xadcda7ee118a3f39l,0xbd02f857ac060d5fl,0xd2d0265d86631997l,
0xb866a7d33818f2d4l },
0 },
/* 33 << 40 */
{ { 0xfbcce2d31892d98dl,0x2e34bc9507de73dcl,0x3a48d1a94891eec1l,
0xe64499c24d31060bl },
{ 0xe9674b7149745520l,0xf126ccaca6594a2cl,0x33e5c1a079945342l,
0x02aa0629066e061fl },
0 },
/* 34 << 40 */
{ { 0xdfd7c0ae7af3191el,0x923ec111d68c70d9l,0xb6f1380bb675f013l,
0x9192a224f23d45bal },
{ 0xbe7890f9524891e3l,0x45b24c47eba996bbl,0x59331e48320447e9l,
0x0e4d8753ac9afad4l },
0 },
/* 35 << 40 */
{ { 0x49e49c38c9f5a6c3l,0x3f5eea44d8ee2a65l,0x02bf3e761c74bbb4l,
0x50d291cdef565571l },
{ 0xf4edc290a36dd5fal,0x3015df9556dd6b85l,0x4494926aa5549a16l,
0x5de6c59390399e4al },
0 },
/* 36 << 40 */
{ { 0x29be11c6ce800998l,0x72bb1752b90360d9l,0x2c1931975a4ad590l,
0x2ba2f5489fc1dbc0l },
{ 0x7fe4eebbe490ebe0l,0x12a0a4cd7fae11c0l,0x7197cf81e903ba37l,
0xcf7d4aa8de1c6dd8l },
0 },
/* 37 << 40 */
{ { 0x961fa6317e249e7bl,0x5c4f707796caed50l,0x6b176e62d7e50885l,
0x4dd5de72f390cbecl },
{ 0x91fa29954b2bd762l,0x80427e6395b8dadel,0xd565bf1de2c34743l,
0x911da39d16e6c841l },
0 },
/* 39 << 40 */
{ { 0x48365465802ff016l,0x6d2a561f71beece6l,0xdd299ce6f9707052l,
0x62a32698a23407bbl },
{ 0x1d55bdb147004afbl,0xfadec124369b1084l,0x1ce78adf291c89f7l,
0x9f2eaf03278bc529l },
0 },
/* 40 << 40 */
{ { 0x92af6bf43fd5684cl,0x2b26eecf80360aa1l,0xbd960f3000546a82l,
0x407b3c43f59ad8fel },
{ 0x86cae5fe249c82bal,0x9e0faec72463744cl,0x87f551e894916272l,
0x033f93446ceb0615l },
0 },
/* 41 << 40 */
{ { 0x04658ad212dba0cel,0x9e600624068822f0l,0x84661f11b26d368bl,
0xbca867d894ebb87al },
{ 0x79506dc42f1bad89l,0x1a8322d3ebcbe7a1l,0xb4f1e102ac197178l,
0x29a950b779f7198cl },
0 },
/* 43 << 40 */
{ { 0x19a6fb0984a3d1d5l,0x6c75c3a2ba5f5307l,0x7983485bf9698447l,
0x689f41b88b1cdc1el },
{ 0x18f6fbd74c1979d0l,0x3e6be9a27a0b6708l,0x06acb615f63d5a8al,
0x8a817c098d0f64b1l },
0 },
/* 44 << 40 */
{ { 0x1e5eb0d18be82e84l,0x89967f0e7a582fefl,0xbcf687d5a6e921fal,
0xdfee4cf3d37a09bal },
{ 0x94f06965b493c465l,0x638b9a1c7635c030l,0x7666786466f05e9fl,
0xccaf6808c04da725l },
0 },
/* 45 << 40 */
{ { 0xa9b3479b1b53a173l,0xc041eda3392eddc0l,0xdb8f804755edd7eel,
0xaf1f7a37ab60683cl },
{ 0x9318603a72c0accbl,0xab1bb9fe401cbf3cl,0xc40e991e88afe245l,
0x9298a4580d06ac35l },
0 },
/* 46 << 40 */
{ { 0x58e127d5036c2fe7l,0x5fe5020555b93361l,0xc1373d850f74a045l,
0x28cd79dbe8228e4bl },
{ 0x0ae82320c2018d9al,0xf6d0049c78f8016al,0x381b6fe2149b31fbl,
0x33a0e8adec3cfbcfl },
0 },
/* 47 << 40 */
{ { 0x23a6612e9eab5da7l,0xb645fe29d94d6431l,0xe3d74594ca1210c4l,
0xdc1376bceeca0674l },
{ 0xfd40dfef657f0154l,0x7952a548d52cbac5l,0x0ee189583685ad28l,
0xd13639409ba9ca46l },
0 },
/* 48 << 40 */
{ { 0xca2eb690768fccfcl,0xf402d37db835b362l,0x0efac0d0e2fdfccel,
0xefc9cdefb638d990l },
{ 0x2af12b72d1669a8bl,0x33c536bc5774ccbdl,0x30b21909fb34870el,
0xc38fa2f77df25acal },
0 },
/* 49 << 40 */
{ { 0x1337902f1c982cd6l,0x222e08fe14ec53eal,0x6c8abd0d330ef3e5l,
0xeb59e01531f6fd9dl },
{ 0xd74ae554a8532df4l,0xbc010db1ab44c83el,0xe98016561b8f9285l,
0x65a9612783acc546l },
0 },
/* 51 << 40 */
{ { 0x36a8b0a76770cfb1l,0x3338d52f9bb578fcl,0x5136c785f5ed12a4l,
0x652d47ed87bf129el },
{ 0x9c6c827e6067c2d0l,0x61fc2f410345533al,0x2d7fb182130cea19l,
0x71a0186330b3ef85l },
0 },
/* 52 << 40 */
{ { 0x74c5f02bbf81f3f5l,0x0525a5aeaf7e4581l,0x88d2aaba433c54ael,
0xed9775db806a56c5l },
{ 0xd320738ac0edb37dl,0x25fdb6ee66cc1f51l,0xac661d1710600d76l,
0x931ec1f3bdd1ed76l },
0 },
/* 53 << 40 */
{ { 0xb81e239161faa569l,0xb379f759bb40eebfl,0x9f2fd1b2a2c54549l,
0x0a968f4b0d6ba0ael },
{ 0xaa869e6eedfe8c75l,0x0e36b298645ab173l,0x5a76282b0bcdefd7l,
0x9e949331d05293f2l },
0 },
/* 55 << 40 */
{ { 0xc1cfa9a1c59fac6el,0x2648bffcb72747cel,0x5f8a39805f2e2637l,
0x8bd3a8eb73e65758l },
{ 0xd9c43f1df14381a7l,0xecc1c3b0d6a86c10l,0xffcf4fa8a4a6dc74l,
0x7304fa834cea0a46l },
0 },
/* 57 << 40 */
{ { 0x4460760c34dca952l,0xeac9cf2444c70444l,0xb879297b8493c87el,
0x295941a54b2dccb7l },
{ 0x1e5cecede58721cdl,0xc8b58db74ca0d12bl,0x1927965c6da1d034l,
0x7220b02839ed1369l },
0 },
/* 59 << 40 */
{ { 0xc38746c83c2e34b6l,0x9f27362e38a51042l,0x26febec02067afebl,
0xd9c4e15544e7371fl },
{ 0x6035f469f92930d1l,0xe6ed7c08b4431b8bl,0xa25bf5903e16410dl,
0x147d83368adf4c18l },
0 },
/* 60 << 40 */
{ { 0x7f01c9ecaa80ba59l,0x3083411a68538e51l,0x970370f1e88128afl,
0x625cc3db91dec14bl },
{ 0xfef9666c01ac3107l,0xb2a8d577d5057ac3l,0xb0f2629992be5df7l,
0xf579c8e500353924l },
0 },
/* 61 << 40 */
{ { 0xbd9398d6ca02669fl,0x896e053bf9ad11a1l,0xe024b699a3556f9fl,
0x23b4b96ad53cbca3l },
{ 0x549d2d6c89733dd6l,0x3dae193f394f3179l,0x8bf7ec1cdfeda825l,
0xf6a1db7a8a4844b4l },
0 },
/* 63 << 40 */
{ { 0x3b5403d56437a027l,0xda32bbd233ed30aal,0xd2ad3baa906de0cal,
0x3b6df514533f736el },
{ 0x986f1cab5df9b9c4l,0x41cd2088970d330el,0xaae7c2238c20a923l,
0x52760a6e1e951dc0l },
0 },
/* 64 << 40 */
{ { 0xb8fa3d931341ed7al,0x4223272ca7b59d49l,0x3dcb194783b8c4a4l,
0x4e413c01ed1302e4l },
{ 0x6d999127e17e44cel,0xee86bf7533b3adfbl,0xf6902fe625aa96cal,
0xb73540e4e5aae47dl },
0 },
/* 65 << 40 */
{ { 0x55318a525e34036cl,0xc3acafaaf9884e3fl,0xe5ba15cea042ba04l,
0x56a1d8960ada550el },
{ 0xa5198cae87b76764l,0xd079d1f0b6fd84fbl,0xb22b637bcbe363edl,
0xbe8ab7d64499deaal },
0 },
/* 71 << 40 */
{ { 0xbe8eba5eb4925f25l,0x00f8bf582e3159d6l,0xb1aa24fa18856070l,
0x22ea8b74e4c30b22l },
{ 0x512f633e55bbe4e8l,0x82ba62318678aee9l,0xea05da90fdf72b7el,
0x616b9bc7a4fc65eel },
0 },
/* 77 << 40 */
{ { 0xe31ee3b3b7c221e7l,0x10353824e353fa43l,0x9d2f3df69dd2a86fl,
0x8a12ab9322ccffecl },
{ 0x25c8e326d666f9e5l,0x33ea98a0598da7fbl,0x2fc1de0917f74e17l,
0x0d0b6c7a35efb211l },
0 },
/* 83 << 40 */
{ { 0x22a82c6c804e6ecel,0x824a170b1d8fce9el,0x621802becee65ed0l,
0x4a4e9e7895ec4285l },
{ 0x8da0988fa8940b7al,0xaff89c5b86445aa5l,0x386fdbdad689cde9l,
0x3aeaae7d9f5caaccl },
0 },
/* 89 << 40 */
{ { 0xe9cb9e68a7b62f4cl,0x515cae0ec3b7092el,0xb8abec354b491f52l,
0x672673fd01eeabc1l },
{ 0x65e5739f7ad6e8a1l,0xc2da8e003d91b2f9l,0xcc43229cced84319l,
0x0f8cbf9574ccf2d1l },
0 },
/* 95 << 40 */
{ { 0xb03d1cfb1b2f872al,0x88aef4670872b6f7l,0xaafe55e48ea9170cl,
0xd5cc4875f24aa689l },
{ 0x7e5732908458ce84l,0xef4e143d58bfc16dl,0xc58626efaa222836l,
0x01c60ec0ca5e0cb8l },
0 },
/* 101 << 40 */
{ { 0x123901aa36337c09l,0x1697acadd2f5e675l,0xc0a1ddd022fe2bael,
0xf68ea88cff0210ddl },
{ 0x665d11e014168709l,0x912a575f45f25321l,0x7e7ed38070c78934l,
0x663d692cb0a46322l },
0 },
/* 107 << 40 */
{ { 0x912ab8bd8642cba4l,0x97fab1a3b6b50b73l,0x76666b3cb86ef354l,
0x16d41330fa5ecce9l },
{ 0x77c7c138c7da404bl,0xc6508cb78c983fb0l,0xe5881733f9004984l,
0x76dea7794182c7abl },
0 },
/* 113 << 40 */
{ { 0x16db18583556b765l,0x39c18c200263755al,0x7b6691f591c15201l,
0x4e4c17b168514ea9l },
{ 0xacbe449e06f5f20al,0xeb9119d2541ddfb6l,0x2f6e687bf2eac86fl,
0xb161471ec14ac508l },
0 },
/* 116 << 40 */
{ { 0x58846d32c4744733l,0x40517c71379f9e34l,0x2f65655f130ef6cal,
0x526e4488f1f3503fl },
{ 0x8467bd177ee4a976l,0x1d9dc913921363d1l,0xd8d24c33b069e041l,
0x5eb5da0a2cdf7f51l },
0 },
/* 119 << 40 */
{ { 0x81c2cc32951ab3e7l,0xc86d9a109b0c7e87l,0x0b7a18bd606ef408l,
0x099b5bbfe6c2251el },
{ 0x46d627d0bfce880fl,0xbfaddcbbe1c6865al,0xa9ab6183d2bb9a00l,
0x23cb9a2720ad9789l },
0 },
/* 125 << 40 */
{ { 0x1592d0630c25fbebl,0x13869ec24995a3fal,0x6413f494861d0a73l,
0xa3b782342f9f1b89l },
{ 0x113689e2b6cad351l,0x53be2014a873dcc1l,0xccf405e0c6bb1be7l,
0x4fff7b4ca9061ca9l },
0 },
},
{
/* 0 << 48 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 48 */
{ { 0xcc7a64880a750c0fl,0x39bacfe34e548e83l,0x3d418c760c110f05l,
0x3e4daa4cb1f11588l },
{ 0x2733e7b55ffc69ffl,0x46f147bc92053127l,0x885b2434d722df94l,
0x6a444f65e6fc6b7cl },
0 },
/* 3 << 48 */
{ { 0x6d0b16f4bdaedfbdl,0x23fd326086746cedl,0x8bfb1d2fff4b3e17l,
0xc7f2ec2d019c14c8l },
{ 0x3e0832f245104b0dl,0x5f00dafbadea2b7el,0x29e5cf6699fbfb0fl,
0x264f972361827cdal },
0 },
/* 4 << 48 */
{ { 0x97b14f7ea90567e6l,0x513257b7b6ae5cb7l,0x85454a3c9f10903dl,
0xd8d2c9ad69bc3724l },
{ 0x38da93246b29cb44l,0xb540a21d77c8cbacl,0x9bbfe43501918e42l,
0xfffa707a56c3614el },
0 },
/* 5 << 48 */
{ { 0x6eb1a2f3e30bc27fl,0xe5f0c05ab0836511l,0x4d741bbf4965ab0el,
0xfeec41ca83464bbdl },
{ 0x1aca705f99d0b09fl,0xc5d6cc56f42da5fal,0x49964eddcc52b931l,
0x8ae59615c884d8d8l },
0 },
/* 7 << 48 */
{ { 0xf634b57b39f8868al,0xe27f4fd475cc69afl,0xa47e58cbd0d5496el,
0x8a26793fd323e07fl },
{ 0xc61a9b72fa30f349l,0x94c9d9c9b696d134l,0x792beca85880a6d1l,
0xbdcc4645af039995l },
0 },
/* 9 << 48 */
{ { 0xce7ef8e58c796c3cl,0x9adaae84dd66e57al,0x784ae13e45227f33l,
0xb046c5b82a85e757l },
{ 0xb7aa50aeec37631fl,0xbedc4fca3b300758l,0x0f82567e0ac9700bl,
0x1071d9d44ff5f8d2l },
0 },
/* 10 << 48 */
{ { 0x61360ee99e240d18l,0x057cdcacb4b94466l,0xe7667cd12fe5325cl,
0x1fa297b521974e3bl },
{ 0xfa4081e7db083d76l,0x31993be6f206bd15l,0x8949269b14c19f8cl,
0x21468d72a9d92357l },
0 },
/* 11 << 48 */
{ { 0xd09ef6c4e51a2811l,0x39f6862bb8fb66b9l,0x64e77f8d22dfaa99l,
0x7b10504461b08aacl },
{ 0x71704e4c4a7df332l,0xd09734342ffe015bl,0xab0eaf4408d3020el,
0x28b1909eed63b97al },
0 },
/* 13 << 48 */
{ { 0x2f3fa882cdadcd4fl,0xa4ef68595f631995l,0xe52ca2f9e531766fl,
0x20af5c3057e2c1d3l },
{ 0x1e4828f6e51e94b8l,0xf900a1751a2f5d4fl,0xe831adb3392c58a0l,
0x4c5a90ca1b6e5866l },
0 },
/* 15 << 48 */
{ { 0x5f3dcba86182827cl,0xd1a448ddbd7e7252l,0x2d8f96fcf493b815l,
0xba0a4c263b0aa95fl },
{ 0x88a1514063a0007fl,0x9564c25e6a9c5846l,0x5a4d7b0fdc0fcbcal,
0x2275daa33f8a740el },
0 },
/* 16 << 48 */
{ { 0x83f49167ceca9754l,0x426d2cf64b7939a0l,0x2555e355723fd0bfl,
0xa96e6d06c4f144e2l },
{ 0x4768a8dd87880e61l,0x15543815e508e4d5l,0x09d7e772b1b65e15l,
0x63439dd6ac302fa0l },
0 },
/* 17 << 48 */
{ { 0x159591cc0461086bl,0xb695aa9495e66e51l,0x2d4c946779ded531l,
0xbd2482ba89c2be79l },
{ 0x8ee2658aa20bbf19l,0xc000528a32247917l,0xd924be4affeae845l,
0x51312bebed992c8bl },
0 },
/* 19 << 48 */
{ { 0x3a01b958dc752bd9l,0x2babdbc20c215d45l,0xe689d79a131641c1l,
0x48e8f0da80e05ed4l },
{ 0x4b505feb77bb70c4l,0xefbd3e2bb6057ef7l,0x7583e22dce603ca5l,
0xfbe3b1f22c5c70c7l },
0 },
/* 21 << 48 */
{ { 0x8ec1ecf029e5e35al,0x2f3168e58645c2b3l,0xe9297362c7f94cb2l,
0x4fbf1466d1c90b39l },
{ 0x3e4f7656920bae2al,0x805d04b9f1beb172l,0x729a7208dbdbd4b4l,
0x1aade45687aeca53l },
0 },
/* 23 << 48 */
{ { 0xb0ff1f541934a508l,0x19e1397604bbf31al,0xb2a8e6033717a6b4l,
0xd601e45d0ef12cb9l },
{ 0x563f0af5b515e98el,0x9b129db633984f9bl,0xe34aba2fa47e4a65l,
0xb56f82d19e3f9d82l },
0 },
/* 25 << 48 */
{ { 0x0203effdb1209b86l,0x21f063edb19d6cbfl,0x59f53476980f275bl,
0x202456d7b7ac5e80l },
{ 0xe5a8c05f4900edc9l,0x04c08eb470f01e86l,0xf74ac2241dcd98cel,
0x7e77cc0ce2e830dbl },
0 },
/* 27 << 48 */
{ { 0x74e37234a9747edel,0x4fc9fbb1361b1013l,0xe7b533733cf357efl,
0x6aa2dd2c991c4193l },
{ 0x7887e4d2a770917al,0xdd1809b4c20d24cbl,0x004cd7c38e9c2d3el,
0xc77c5baba9970abel },
0 },
/* 28 << 48 */
{ { 0x20ac0351d598d710l,0x272c4166cb3a4da4l,0xdb82fe1aca71de1fl,
0x746e79f2d8f54b0fl },
{ 0x6e7fc7364b573e9bl,0x75d03f46fd4b5040l,0x5c1cc36d0b98d87bl,
0x513ba3f11f472da1l },
0 },
/* 29 << 48 */
{ { 0x52927eaac3af237fl,0xfaa06065d7398767l,0x042e72b497c6ce0bl,
0xdaed0cc40a9f2361l },
{ 0xddc2e11c2fc1bb4al,0x631da5770c1a9ef8l,0x8a4cfe44680272bfl,
0xc76b9f7262fb5cc3l },
0 },
/* 31 << 48 */
{ { 0x248f814538b3aae3l,0xb5345864bc204334l,0x66d6b5bc1d127524l,
0xe312080d14f572d3l },
{ 0x13ed15a716abafebl,0x6f18ce27dba967bel,0x96c9e826ef08552dl,
0x2c191b06be2b63e0l },
0 },
/* 33 << 48 */
{ { 0xde4be45dc115ca51l,0xa028cafe934dabd6l,0x7e875663d1c0f8c5l,
0xa8e32ab063d17473l },
{ 0x33f55bd5543199aal,0x79d2c937a2071d6el,0xa6a6758ceff16f28l,
0x9c5f93ef87d85201l },
0 },
/* 34 << 48 */
{ { 0x7f2e440381e9ede3l,0x243c3894caf6df0al,0x7c605bb11c073b11l,
0xcd06a541ba6a4a62l },
{ 0x2916894949d4e2e5l,0x33649d074af66880l,0xbfc0c885e9a85035l,
0xb4e52113fc410f4bl },
0 },
/* 35 << 48 */
{ { 0xe86f21bc3ad4c81el,0x53b408403a37dcebl,0xaa606087383402cdl,
0xc248caf185452b1dl },
{ 0x38853772576b57cdl,0xe2798e5441b7a6edl,0x7c2f1eed95ef4a33l,
0xccd7e776adb1873cl },
0 },
/* 36 << 48 */
{ { 0xdca3b70678a6513bl,0x92ea4a2a9edb1943l,0x02642216db6e2dd8l,
0x9b45d0b49fd57894l },
{ 0x114e70dbc69d11ael,0x1477dd194c57595fl,0xbc2208b4ec77c272l,
0x95c5b4d7db68f59cl },
0 },
/* 37 << 48 */
{ { 0xd978bb791c61030al,0xa47325d2218222f3l,0x65ad4d4832e67d97l,
0x31e4ed632e0d162al },
{ 0x7308ea317f76da37l,0xcfdffe87d93f35d8l,0xf4b2d60ee6f96cc4l,
0x8028f3bd0117c421l },
0 },
/* 39 << 48 */
{ { 0x7df80cbb9543edb6l,0xa07a54df40b0b3bcl,0xacbd067cc1888488l,
0x61ad61318a00c721l },
{ 0x67e7599ebe2e6fe6l,0x8349d568f7270e06l,0x5630aabc307bc0c7l,
0x97210b3f71af442fl },
0 },
/* 40 << 48 */
{ { 0xfe541fa47ea67c77l,0x952bd2afe3ea810cl,0x791fef568d01d374l,
0xa3a1c6210f11336el },
{ 0x5ad0d5a9c7ec6d79l,0xff7038af3225c342l,0x003c6689bc69601bl,
0x25059bc745e8747dl },
0 },
/* 41 << 48 */
{ { 0x58bdabb7ef701b5fl,0x64f987aee00c3a96l,0x533b391e2d585679l,
0x30ad79d97a862e03l },
{ 0xd941471e8177b261l,0x33f65cb856a9018el,0x985ce9f607759fc4l,
0x9b085f33aefdbd9el },
0 },
/* 43 << 48 */
{ { 0xab2fa51a9c43ee15l,0x457f338263f30575l,0xce8dcd863e75a6e0l,
0x67a03ab86e70421al },
{ 0xe72c37893e174230l,0x45ffff6c066f4816l,0x3a3dd84879a2d4a7l,
0xefa4b7e68b76c24cl },
0 },
/* 44 << 48 */
{ { 0x9a75c80676cb2566l,0x8f76acb1b24892d9l,0x7ae7b9cc1f08fe45l,
0x19ef73296a4907d8l },
{ 0x2db4ab715f228bf0l,0xf3cdea39817032d7l,0x0b1f482edcabe3c0l,
0x3baf76b4bb86325cl },
0 },
/* 45 << 48 */
{ { 0xd6be8f00e39e056al,0xb58f87a6232fa3bcl,0xd5cb09dc6b18c772l,
0x3177256da8e7e17bl },
{ 0x1877fd34230bf92cl,0x6f9031175a36f632l,0x526a288728e2c9d9l,
0xc373fc94415ec45cl },
0 },
/* 46 << 48 */
{ { 0xd49065e010089465l,0x3bab5d298e77c596l,0x7636c3a6193dbd95l,
0xdef5d294b246e499l },
{ 0xb22c58b9286b2475l,0xa0b93939cd80862bl,0x3002c83af0992388l,
0x6de01f9beacbe14cl },
0 },
/* 47 << 48 */
{ { 0x70fa6e2a2bf5e373l,0x501691739271694cl,0xd6ebb98c5d2ed9f1l,
0x11fd0b3f225bf92dl },
{ 0x51ffbcea1e3d5520l,0xa7c549875513ad47l,0xe9689750b431d46dl,
0x6e69fecbb620cb9al },
0 },
/* 48 << 48 */
{ { 0x6aac688eadd70482l,0x708de92a7b4a4e8al,0x75b6dd73758a6eefl,
0xea4bf352725b3c43l },
{ 0x10041f2c87912868l,0xb1b1be95ef09297al,0x19ae23c5a9f3860al,
0xc4f0f839515dcf4bl },
0 },
/* 49 << 48 */
{ { 0xf3c22398e04b5734l,0x4fba59b275f2579dl,0xbf95182d691901b3l,
0x4c139534eb599496l },
{ 0xf3f821de33b77e8bl,0x66e580743785d42fl,0xe3ba3d5abdc89c2dl,
0x7ee988bdd19f37b9l },
0 },
/* 51 << 48 */
{ { 0xe9ba62ca2ee53eb0l,0x64295ae23401d7dal,0x70ed8be24e493580l,
0x702caa624502732fl },
{ 0xb1f4e21278d0cedfl,0x130b114bdc97057bl,0x9c5d0bd3c38c77b5l,
0xd9d641e18bad68e7l },
0 },
/* 52 << 48 */
{ { 0xc71e27bf8538a5c6l,0x195c63dd89abff17l,0xfd3152851b71e3dal,
0x9cbdfda7fa680fa0l },
{ 0x9db876ca849d7eabl,0xebe2764b3c273271l,0x663357e3f208dceal,
0x8c5bd833565b1b70l },
0 },
/* 53 << 48 */
{ { 0x7c2dea1d122aebd4l,0x090bee4a138c1e4dl,0x94a9ffe59e4aca6cl,
0x8f3212ba5d405c7fl },
{ 0x6618185f180b5e85l,0x76298d46f455ab9fl,0x0c804076476b2d88l,
0x45ea9d03d5a40b39l },
0 },
/* 55 << 48 */
{ { 0xdf325ac76a2ed772l,0x35da47ccb0da2765l,0x94ce6f460bc9b166l,
0xe0fc82fb5f7f3628l },
{ 0x2b26d588c055f576l,0xb9d37c97ec2bae98l,0xffbbead856908806l,
0xa8c2df87437f4c84l },
0 },
/* 57 << 48 */
{ { 0x47d11c3528430994l,0x0183df71cf13d9d3l,0x98604c89aa138fe5l,
0xb1432e1c32c09aa1l },
{ 0xf19bc45d99bd5e34l,0xb198be72108e9b89l,0xee500ae9dacde648l,
0x5936cf98746870a9l },
0 },
/* 59 << 48 */
{ { 0x6d8efb98ed1d5a9bl,0x2e0b08e697f778fal,0xda728454dc5e0835l,
0x2c28a45f8e3651c4l },
{ 0x667fab6f7ee77088l,0xd94429c8f29a94b4l,0xd83d594d9deea5b2l,
0x2dc08ccbbea58080l },
0 },
/* 60 << 48 */
{ { 0xba5514df3fd165e8l,0x499fd6a9061f8811l,0x72cd1fe0bfef9f00l,
0x120a4bb979ad7e8al },
{ 0xf2ffd0955f4a5ac5l,0xcfd174f195a7a2f0l,0xd42301ba9d17baf1l,
0xd2fa487a77f22089l },
0 },
/* 61 << 48 */
{ { 0xfb5f53ba20a9a01el,0x3adb174fd20d6a9cl,0x6db8bb6d80e0f64fl,
0x596e428df6a26f76l },
{ 0xbab1f846e6a4e362l,0x8bdb22af9b1becbdl,0x62b48335f31352adl,
0xd72c26409634f727l },
0 },
/* 63 << 48 */
{ { 0xaaa61cb22b1ec1c3l,0x3b5156722cb6f00el,0x67d1be0a8bf83f60l,
0x88f1627aa4b804bcl },
{ 0xc52b11a7cdade2abl,0xa6a8b71a606a4e9dl,0x04e0e6697b900551l,
0x35cfa33c8d5ad0d2l },
0 },
/* 64 << 48 */
{ { 0xb93452381d531696l,0x57201c0088cdde69l,0xdde922519a86afc7l,
0xe3043895bd35cea8l },
{ 0x7608c1e18555970dl,0x8267dfa92535935el,0xd4c60a57322ea38bl,
0xe0bf7977804ef8b5l },
0 },
/* 65 << 48 */
{ { 0x375ca189b60f0d5al,0xc9458cf949a78362l,0x61c1c5024262c03al,
0x299353db4363d5bel },
{ 0xe3565124dac407fel,0x16ea66cd5b93c532l,0xe5c6aec2749df8e3l,
0x59181317ce3ee4bfl },
0 },
/* 71 << 48 */
{ { 0xd46ea34af41c2a3cl,0x9936184916545c98l,0xd7cb800ccf2498b4l,
0xe71d088d9353fe87l },
{ 0x43443cbeae2e172cl,0x77131656ca905cb3l,0x76471fd1dce63594l,
0x346b1d1738f5e264l },
0 },
/* 77 << 48 */
{ { 0x22b1e639f6d0a419l,0x8bbb1fad7cea278cl,0xf07f6c01370cc86al,
0x661bd027d39b837fl },
{ 0x042c7a69de606098l,0x93433b154e44eb12l,0x20f44ada88d8bfe8l,
0xb44f66e64ccbfab6l },
0 },
/* 83 << 48 */
{ { 0x1cc32158583d9745l,0x9306223cad1c2201l,0x76aa8d0995748039l,
0x29425391707e9b59l },
{ 0x8501c0d4487cdf9el,0xbe08e89c205c5611l,0xa950400b04ccc48bl,
0xb614b69b637e966bl },
0 },
/* 89 << 48 */
{ { 0xd9c3c1238ffa5c4bl,0xc65765f7f3593988l,0x9a7e5d2728242119l,
0x0ad27b5097ad7620l },
{ 0x154cc5eb413a8b23l,0xae93d8de7afa8254l,0x9ce5116cab9907b5l,
0x9a163d78063103b9l },
0 },
/* 95 << 48 */
{ { 0x5c4c299291086d2al,0x42c6ca9de8e2d951l,0xe67ecf93dd353f30l,
0xba54557fe7167c2el },
{ 0x04a7eb2db734c779l,0x8f345605e300711al,0x4811c1ad67b27de6l,
0xb7ac8e842731d5f0l },
0 },
/* 101 << 48 */
{ { 0xee33a1d8e449ac46l,0x2500ba0aaaebfa2dl,0x8fb914ebc424eff4l,
0x3a36545d3989255el },
{ 0xd24f2484761235e6l,0x2fc5d5ddd9b2c04bl,0x73660f86070ab0dbl,
0x2e266d0479d20c7bl },
0 },
/* 107 << 48 */
{ { 0x143752d5316d19a3l,0x56a55e01915497b8l,0x44ba4b2609a5fd15l,
0xe4fc3e7fd9bee4eel },
{ 0x6f9d8609878a9f26l,0xdf36b5bd2ede7a20l,0x8e03e712a9a3e435l,
0x4ced555b56546d33l },
0 },
/* 113 << 48 */
{ { 0x89a6aaab0882717el,0x56a9736b43fa5153l,0xdb07dcc9d0e1fb1al,
0xe7c986d34145e227l },
{ 0x57be66abb10dad51l,0xa47b964e4aa01ea7l,0xd851d9f36bb837cbl,
0x9851ab3d652e13f7l },
0 },
/* 116 << 48 */
{ { 0x22b88a805616ee30l,0xfb09548fe7ab1083l,0x8ad6ab0d511270cdl,
0x61f6c57a6924d9abl },
{ 0xa0f7bf7290aecb08l,0x849f87c90df784a4l,0x27c79c15cfaf1d03l,
0xbbf9f675c463facel },
0 },
/* 119 << 48 */
{ { 0x65512fb716dd6ce1l,0xfa76ebc960d53b35l,0x31e5322e19ada3bel,
0x7e259b75d0ccc3cdl },
{ 0xd36d03f0e025fd69l,0xbefab782eea9e5f3l,0x1569969dd09ce6a7l,
0x2df5396178c385b0l },
0 },
/* 125 << 48 */
{ { 0x4201652fce0ccac7l,0x12f8e93df1d29d2dl,0x6c2ac9b2220f00c1l,
0x4ee6a685a850baa9l },
{ 0x2c2371f163ee8829l,0xddff16488f464433l,0xeab6cd8869a2c413l,
0xcae34beb85e4c2a8l },
0 },
},
{
/* 0 << 56 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 56 */
{ { 0xc7913e91991724f3l,0x5eda799c39cbd686l,0xddb595c763d4fc1el,
0x6b63b80bac4fed54l },
{ 0x6ea0fc697e5fb516l,0x737708bad0f1c964l,0x9628745f11a92ca5l,
0x61f379589a86967al },
0 },
/* 3 << 56 */
{ { 0x46a8c4180d738dedl,0x6f1a5bb0e0de5729l,0xf10230b98ba81675l,
0x32c6f30c112b33d4l },
{ 0x7559129dd8fffb62l,0x6a281b47b459bf05l,0x77c1bd3afa3b6776l,
0x0709b3807829973al },
0 },
/* 4 << 56 */
{ { 0x8c26b232a3326505l,0x38d69272ee1d41bfl,0x0459453effe32afal,
0xce8143ad7cb3ea87l },
{ 0x932ec1fa7e6ab666l,0x6cd2d23022286264l,0x459a46fe6736f8edl,
0x50bf0d009eca85bbl },
0 },
/* 5 << 56 */
{ { 0x0b825852877a21ecl,0x300414a70f537a94l,0x3f1cba4021a9a6a2l,
0x50824eee76943c00l },
{ 0xa0dbfcecf83cba5dl,0xf953814893b4f3c0l,0x6174416248f24dd7l,
0x5322d64de4fb09ddl },
0 },
/* 7 << 56 */
{ { 0xa337c447f1f0ced1l,0x800cc7939492dd2bl,0x4b93151dbea08efal,
0x820cf3f8de0a741el },
{ 0xff1982dc1c0f7d13l,0xef92196084dde6cal,0x1ad7d97245f96ee3l,
0x319c8dbe29dea0c7l },
0 },
/* 9 << 56 */
{ { 0x0ae1d63b0eb919b0l,0xd74ee51da74b9620l,0x395458d0a674290cl,
0x324c930f4620a510l },
{ 0x2d1f4d19fbac27d4l,0x4086e8ca9bedeeacl,0x0cdd211b9b679ab8l,
0x5970167d7090fec4l },
0 },
/* 10 << 56 */
{ { 0x3420f2c9faf1fc63l,0x616d333a328c8bb4l,0x7d65364c57f1fe4al,
0x9343e87755e5c73al },
{ 0x5795176be970e78cl,0xa36ccebf60533627l,0xfc7c738009cdfc1bl,
0xb39a2afeb3fec326l },
0 },
/* 11 << 56 */
{ { 0xb7ff1ba16224408al,0xcc856e92247cfc5el,0x01f102e7c18bc493l,
0x4613ab742091c727l },
{ 0xaa25e89cc420bf2bl,0x00a5317690337ec2l,0xd2be9f437d025fc7l,
0x3316fb856e6fe3dcl },
0 },
/* 13 << 56 */
{ { 0x67332cfc2064cfd1l,0x339c31deb0651934l,0x719b28d52a3bcbeal,
0xee74c82b9d6ae5c6l },
{ 0x0927d05ebaf28ee6l,0x82cecf2c9d719028l,0x0b0d353eddb30289l,
0xfe4bb977fddb2e29l },
0 },
/* 15 << 56 */
{ { 0xe10b2ab817a91cael,0xb89aab6508e27f63l,0x7b3074a7dba3ddf9l,
0x1c20ce09330c2972l },
{ 0x6b9917b45fcf7e33l,0xe6793743945ceb42l,0x18fc22155c633d19l,
0xad1adb3cc7485474l },
0 },
/* 16 << 56 */
{ { 0x646f96796424c49bl,0xf888dfe867c241c9l,0xe12d4b9324f68b49l,
0x9a6b62d8a571df20l },
{ 0x81b4b26d179483cbl,0x666f96329511fae2l,0xd281b3e4d53aa51fl,
0x7f96a7657f3dbd16l },
0 },
/* 17 << 56 */
{ { 0xa7f8b5bf074a30cel,0xd7f52107005a32e6l,0x6f9e090750237ed4l,
0x2f21da478096fa2bl },
{ 0xf3e19cb4eec863a0l,0xd18f77fd9527620al,0x9505c81c407c1cf8l,
0x9998db4e1b6ec284l },
0 },
/* 19 << 56 */
{ { 0x794e2d5984ac066cl,0xf5954a92e68c69a0l,0x28c524584fd99dccl,
0x60e639fcb1012517l },
{ 0xc2e601257de79248l,0xe9ef6404f12fc6d7l,0x4c4f28082a3b5d32l,
0x865ad32ec768eb8al },
0 },
/* 21 << 56 */
{ { 0x4f4ddf91b2f1ac7al,0xf99eaabb760fee27l,0x57f4008a49c228e5l,
0x090be4401cf713bbl },
{ 0xac91fbe45004f022l,0xd838c2c2569e1af6l,0xd6c7d20b0f1daaa5l,
0xaa063ac11bbb02c0l },
0 },
/* 23 << 56 */
{ { 0x54935fcb81d73c9el,0x6d07e9790a5e97abl,0x4dc7b30acf3a6babl,
0x147ab1f3170bee11l },
{ 0x0aaf8e3d9fafdee4l,0xfab3dbcb538a8b95l,0x405df4b36ef13871l,
0xf1f4e9cb088d5a49l },
0 },
/* 25 << 56 */
{ { 0x43c01b87459afccdl,0x6bd45143b7432652l,0x8473453055b5d78el,
0x81088fdb1554ba7dl },
{ 0xada0a52c1e269375l,0xf9f037c42dc5ec10l,0xc066060794bfbc11l,
0xc0a630bbc9c40d2fl },
0 },
/* 27 << 56 */
{ { 0x9a730ed44763eb50l,0x24a0e221c1ab0d66l,0x643b6393648748f3l,
0x1982daa16d3c6291l },
{ 0x6f00a9f78bbc5549l,0x7a1783e17f36384el,0xe8346323de977f50l,
0x91ab688db245502al },
0 },
/* 28 << 56 */
{ { 0x331ab6b56d0bdd66l,0x0a6ef32e64b71229l,0x1028150efe7c352fl,
0x27e04350ce7b39d3l },
{ 0x2a3c8acdc1070c82l,0xfb2034d380c9feefl,0x2d729621709f3729l,
0x8df290bf62cb4549l },
0 },
/* 29 << 56 */
{ { 0x02f99f33fc2e4326l,0x3b30076d5eddf032l,0xbb21f8cf0c652fb5l,
0x314fb49eed91cf7bl },
{ 0xa013eca52f700750l,0x2b9e3c23712a4575l,0xe5355557af30fbb0l,
0x1ada35167c77e771l },
0 },
/* 31 << 56 */
{ { 0xdc9f46fc609e4a74l,0x2a44a143ba667f91l,0xbc3d8b95b4d83436l,
0xa01e4bd0c7bd2958l },
{ 0x7b18293273483c90l,0xa79c6aa1a7c7b598l,0xbf3983c6eaaac07el,
0x8f18181e96e0d4e6l },
0 },
/* 33 << 56 */
{ { 0x0bfc27eeacee5043l,0xae419e732eb10f02l,0x19c028d18943fb05l,
0x71f01cf7ff13aa2al },
{ 0x7790737e8887a132l,0x6751330966318410l,0x9819e8a37ddb795el,
0xfecb8ef5dad100b2l },
0 },
/* 34 << 56 */
{ { 0x59f74a223021926al,0xb7c28a496f9b4c1cl,0xed1a733f912ad0abl,
0x42a910af01a5659cl },
{ 0x3842c6e07bd68cabl,0x2b57fa3876d70ac8l,0x8a6707a83c53aaebl,
0x62c1c51065b4db18l },
0 },
/* 35 << 56 */
{ { 0x8de2c1fbb2d09dc7l,0xc3dfed12266bd23bl,0x927d039bd5b27db6l,
0x2fb2f0f1103243dal },
{ 0xf855a07b80be7399l,0xed9327ce1f9f27a8l,0xa0bd99c7729bdef7l,
0x2b67125e28250d88l },
0 },
/* 36 << 56 */
{ { 0x784b26e88670ced7l,0xe3dfe41fc31bd3b4l,0x9e353a06bcc85cbcl,
0x302e290960178a9dl },
{ 0x860abf11a6eac16el,0x76447000aa2b3aacl,0x46ff9d19850afdabl,
0x35bdd6a5fdb2d4c1l },
0 },
/* 37 << 56 */
{ { 0xe82594b07e5c9ce9l,0x0f379e5320af346el,0x608b31e3bc65ad4al,
0x710c6b12267c4826l },
{ 0x51c966f971954cf1l,0xb1cec7930d0aa215l,0x1f15598986bd23a8l,
0xae2ff99cf9452e86l },
0 },
/* 39 << 56 */
{ { 0xb5a741a76b2515cfl,0x71c416019585c749l,0x78350d4fe683de97l,
0x31d6152463d0b5f5l },
{ 0x7a0cc5e1fbce090bl,0xaac927edfbcb2a5bl,0xe920de4920d84c35l,
0x8c06a0b622b4de26l },
0 },
/* 40 << 56 */
{ { 0xd34dd58bafe7ddf3l,0x55851fedc1e6e55bl,0xd1395616960696e7l,
0x940304b25f22705fl },
{ 0x6f43f861b0a2a860l,0xcf1212820e7cc981l,0x121862120ab64a96l,
0x09215b9ab789383cl },
0 },
/* 41 << 56 */
{ { 0x311eb30537387c09l,0xc5832fcef03ee760l,0x30358f5832f7ea19l,
0xe01d3c3491d53551l },
{ 0x1ca5ee41da48ea80l,0x34e71e8ecf4fa4c1l,0x312abd257af1e1c7l,
0xe3afcdeb2153f4a5l },
0 },
/* 43 << 56 */
{ { 0x2a17747fa6d74081l,0x60ea4c0555a26214l,0x53514bb41f88c5fel,
0xedd645677e83426cl },
{ 0xd5d6cbec96460b25l,0xa12fd0ce68dc115el,0xc5bc3ed2697840eal,
0x969876a8a6331e31l },
0 },
/* 44 << 56 */
{ { 0x60c36217472ff580l,0xf42297054ad41393l,0x4bd99ef0a03b8b92l,
0x501c7317c144f4f6l },
{ 0x159009b318464945l,0x6d5e594c74c5c6bel,0x2d587011321a3660l,
0xd1e184b13898d022l },
0 },
/* 45 << 56 */
{ { 0x5ba047524c6a7e04l,0x47fa1e2b45550b65l,0x9419daf048c0a9a5l,
0x663629537c243236l },
{ 0xcd0744b15cb12a88l,0x561b6f9a2b646188l,0x599415a566c2c0c0l,
0xbe3f08590f83f09al },
0 },
/* 46 << 56 */
{ { 0x9141c5beb92041b8l,0x01ae38c726477d0dl,0xca8b71f3d12c7a94l,
0xfab5b31f765c70dbl },
{ 0x76ae7492487443e9l,0x8595a310990d1349l,0xf8dbeda87d460a37l,
0x7f7ad0821e45a38fl },
0 },
/* 47 << 56 */
{ { 0xed1d4db61059705al,0xa3dd492ae6b9c697l,0x4b92ee3a6eb38bd5l,
0xbab2609d67cc0bb7l },
{ 0x7fc4fe896e70ee82l,0xeff2c56e13e6b7e3l,0x9b18959e34d26fcal,
0x2517ab66889d6b45l },
0 },
/* 48 << 56 */
{ { 0xf167b4e0bdefdd4fl,0x69958465f366e401l,0x5aa368aba73bbec0l,
0x121487097b240c21l },
{ 0x378c323318969006l,0xcb4d73cee1fe53d1l,0x5f50a80e130c4361l,
0xd67f59517ef5212bl },
0 },
/* 49 << 56 */
{ { 0xf145e21e9e70c72el,0xb2e52e295566d2fbl,0x44eaba4a032397f5l,
0x5e56937b7e31a7del },
{ 0x68dcf517456c61e1l,0xbc2e954aa8b0a388l,0xe3552fa760a8b755l,
0x03442dae73ad0cdel },
0 },
/* 51 << 56 */
{ { 0x3fcbdbce478e2135l,0x7547b5cfbda35342l,0xa97e81f18a677af6l,
0xc8c2bf8328817987l },
{ 0xdf07eaaf45580985l,0xc68d1f05c93b45cbl,0x106aa2fec77b4cacl,
0x4c1d8afc04a7ae86l },
0 },
/* 52 << 56 */
{ { 0xdb41c3fd9eb45ab2l,0x5b234b5bd4b22e74l,0xda253decf215958al,
0x67e0606ea04edfa0l },
{ 0xabbbf070ef751b11l,0xf352f175f6f06dcel,0xdfc4b6af6839f6b4l,
0x53ddf9a89959848el },
0 },
/* 53 << 56 */
{ { 0xda49c379c21520b0l,0x90864ff0dbd5d1b6l,0x2f055d235f49c7f7l,
0xe51e4e6aa796b2d8l },
{ 0xc361a67f5c9dc340l,0x5ad53c37bca7c620l,0xda1d658832c756d0l,
0xad60d9118bb67e13l },
0 },
/* 55 << 56 */
{ { 0xd1183316fd6f7140l,0xf9fadb5bbd8e81f7l,0x701d5e0c5a02d962l,
0xfdee4dbf1b601324l },
{ 0xbed1740735d7620el,0x04e3c2c3f48c0012l,0x9ee29da73455449al,
0x562cdef491a836c4l },
0 },
/* 57 << 56 */
{ { 0x147ebf01fad097a5l,0x49883ea8610e815dl,0xe44d60ba8a11de56l,
0xa970de6e827a7a6dl },
{ 0x2be414245e17fc19l,0xd833c65701214057l,0x1375813b363e723fl,
0x6820bb88e6a52e9bl },
0 },
/* 59 << 56 */
{ { 0xe1b6f60c08191224l,0xc4126ebbde4ec091l,0xe1dff4dc4ae38d84l,
0xde3f57db4f2ef985l },
{ 0x34964337d446a1ddl,0x7bf217a0859e77f6l,0x8ff105278e1d13f5l,
0xa304ef0374eeae27l },
0 },
/* 60 << 56 */
{ { 0xfc6f5e47d19dfa5al,0xdb007de37fad982bl,0x28205ad1613715f5l,
0x251e67297889529el },
{ 0x727051841ae98e78l,0xf818537d271cac32l,0xc8a15b7eb7f410f5l,
0xc474356f81f62393l },
0 },
/* 61 << 56 */
{ { 0x92dbdc5ac242316bl,0xabe060acdbf4aff5l,0x6e8c38fe909a8ec6l,
0x43e514e56116cb94l },
{ 0x2078fa3807d784f9l,0x1161a880f4b5b357l,0x5283ce7913adea3dl,
0x0756c3e6cc6a910bl },
0 },
/* 63 << 56 */
{ { 0xa573a4966d17fbc7l,0x0cd1a70a73d2b24el,0x34e2c5cab2676937l,
0xe7050b06bf669f21l },
{ 0xfbe948b61ede9046l,0xa053005197662659l,0x58cbd4edf10124c5l,
0xde2646e4dd6c06c8l },
0 },
/* 64 << 56 */
{ { 0x332f81088cad38c0l,0x471b7e906bd68ae2l,0x56ac3fb20d8e27a3l,
0xb54660db136b4b0dl },
{ 0x123a1e11a6fd8de4l,0x44dbffeaa37799efl,0x4540b977ce6ac17cl,
0x495173a8af60acefl },
0 },
/* 65 << 56 */
{ { 0xc48b1478db447d0bl,0xe1b85f5d46104fbbl,0x4ab31e7d991c60b9l,
0xaa674a9258a0cfd0l },
{ 0x179fc2cd316f4297l,0x90c18642dcccbc82l,0x65d4309e56a4c163l,
0xf211a9c7145a33ecl },
0 },
/* 71 << 56 */
{ { 0x9669170cdc32717fl,0x52d69b5138133e34l,0xaed24e5fb079c3b2l,
0xaba44a91a21ea3d2l },
{ 0xd6814f1938d40105l,0x38289fe463462e7al,0x1793eefa3a80cbf5l,
0x05816a0795f29bacl },
0 },
/* 77 << 56 */
{ { 0xdca88ad98f850641l,0x8c1152c447999b0dl,0x509f654e654aff33l,
0x2228550f08a12f14l },
{ 0x60fe99dbb6a0ccdbl,0x80d6829bfc2cddccl,0x190f454dd5617aa4l,
0x0aea05fe36295d2dl },
0 },
/* 83 << 56 */
{ { 0x1de06c8af9bef9a5l,0xe24d85d3fb2d3164l,0x3dbe455e8d203d3el,
0x439bee4735ea47a9l },
{ 0xcc143432784893d7l,0x9b71073bd9bebd00l,0x6c106b343aa2fe88l,
0x9df2a42734746f7al },
0 },
/* 89 << 56 */
{ { 0x1ad0b3725a8c2168l,0x64e52d6d143f0402l,0xd933c783e320f31fl,
0x1ccf90a80ff14f52l },
{ 0xd3a3133ee1e6d0c0l,0xfd75a2d5b4acc8cal,0x62659b8e5559d171l,
0x5087d6e9f13ad52al },
0 },
/* 95 << 56 */
{ { 0xb4d647a5deef31a4l,0x95bf4ab180975ea9l,0x2f92d15adf57b03el,
0x5ee808ab746b26d6l },
{ 0x4341597c1082f261l,0x027795eb40c45e95l,0xcb77744b3b690c30l,
0xdd87c084af3f88d1l },
0 },
/* 101 << 56 */
{ { 0x469f177572109785l,0xf365e55123f84d6cl,0x8006a9c28a046dbbl,
0x1b9fbe892fa09f52l },
{ 0xac18a88016075e9el,0x4a3069bc1e3fd628l,0x20c61eaa60c61c14l,
0x315b59daf61f004bl },
0 },
/* 107 << 56 */
{ { 0x0a94387f26d04857l,0x952a4ebc43d6de95l,0xb422e15cf14abdfal,
0x5b7a0153324ef90cl },
{ 0x6aefa20e9826ec5bl,0x0e529886ad2fe161l,0xb710a74ec0d416e8l,
0x6cf4b0a5fb6c90bcl },
0 },
/* 113 << 56 */
{ { 0x822aea4031979d3bl,0xb504eafde215a109l,0xa8761ead84bf2377l,
0xb55c1e55efb3d942l },
{ 0xd01f9b0212b7f17bl,0x41b62c2a891bfbbfl,0x50800e6b08938149l,
0x527b50a9b0a55d82l },
0 },
/* 116 << 56 */
{ { 0x6bc84d8d1d9ce3c4l,0x53b465072a308df0l,0x6c3da9bfca79c88al,
0x9636ad9c36372acfl },
{ 0x8840e92c425ef14cl,0x863191f96af3225bl,0xd56d82d0d369b857l,
0x2053a2527a4c41f9l },
0 },
/* 119 << 56 */
{ { 0x20aecd6609ca8805l,0x945d9b31dc818ee6l,0x1424647c2119b44bl,
0xbe934d7e5a6641f9l },
{ 0xe91d53184559e55el,0xc2fb8e0b4dfbc3d4l,0x9e92e20676cb937fl,
0x0f5582e4f2932429l },
0 },
/* 125 << 56 */
{ { 0xb5fc22a42d31809fl,0x6d582d2b0e35b7b4l,0x5fac415158c5f576l,
0xdff239371e4cd7c9l },
{ 0x0f62b329ed4d1925l,0x00994a2e6010fb16l,0xb4b91076bd754837l,
0xfde219463345103al },
0 },
},
{
/* 0 << 64 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 64 */
{ { 0x4f922fc516a0d2bbl,0x0d5cc16c1a623499l,0x9241cf3a57c62c8bl,
0x2f5e6961fd1b667fl },
{ 0x5c15c70bf5a01797l,0x3d20b44d60956192l,0x04911b37071fdb52l,
0xf648f9168d6f0f7bl },
0 },
/* 3 << 64 */
{ { 0x4090914bb5def996l,0x1cb69c83233dd1e7l,0xc1e9c1d39b3d5e76l,
0x1f3338edfccf6012l },
{ 0xb1e95d0d2f5378a8l,0xacf4c2c72f00cd21l,0x6e984240eb5fe290l,
0xd66c038d248088ael },
0 },
/* 4 << 64 */
{ { 0x9ad5462bb4d8bc50l,0x181c0b16a9195770l,0xebd4fe1c78412a68l,
0xae0341bcc0dff48cl },
{ 0xb6bc45cf7003e866l,0xf11a6dea8a24a41bl,0x5407151ad04c24c2l,
0x62c9d27dda5b7b68l },
0 },
/* 5 << 64 */
{ { 0xd4992b30614c0900l,0xda98d121bd00c24bl,0x7f534dc87ec4bfa1l,
0x4a5ff67437dc34bcl },
{ 0x68c196b81d7ea1d7l,0x38cf289380a6d208l,0xfd56cd09e3cbbd6el,
0xec72e27e4205a5b6l },
0 },
/* 7 << 64 */
{ { 0xe8b97932b88756ddl,0xed4e8652f17e3e61l,0xc2dd14993ee1c4a4l,
0xc0aaee17597f8c0el },
{ 0x15c4edb96c168af3l,0x6563c7bfb39ae875l,0xadfadb6f20adb436l,
0xad55e8c99a042ac0l },
0 },
/* 9 << 64 */
{ { 0x65c29219909523c8l,0xa62f648fa3a1c741l,0x88598d4f60c9e55al,
0xbce9141b0e4f347al },
{ 0x9af97d8435f9b988l,0x0210da62320475b6l,0x3c076e229191476cl,
0x7520dbd944fc7834l },
0 },
/* 10 << 64 */
{ { 0x87a7ebd1e0a1b12al,0x1e4ef88d770ba95fl,0x8c33345cdc2ae9cbl,
0xcecf127601cc8403l },
{ 0x687c012e1b39b80fl,0xfd90d0ad35c33ba4l,0xa3ef5a675c9661c2l,
0x368fc88ee017429el },
0 },
/* 11 << 64 */
{ { 0x664300b07850ec06l,0xac5a38b97d3a10cfl,0x9233188de34ab39dl,
0xe77057e45072cbb9l },
{ 0xbcf0c042b59e78dfl,0x4cfc91e81d97de52l,0x4661a26c3ee0ca4al,
0x5620a4c1fb8507bcl },
0 },
/* 13 << 64 */
{ { 0x84b9ca1504b6c5a0l,0x35216f3918f0e3a3l,0x3ec2d2bcbd986c00l,
0x8bf546d9d19228fel },
{ 0xd1c655a44cd623c3l,0x366ce718502b8e5al,0x2cfc84b4eea0bfe7l,
0xe01d5ceecf443e8el },
0 },
/* 15 << 64 */
{ { 0xa75feacabe063f64l,0x9b392f43bce47a09l,0xd42415091ad07acal,
0x4b0c591b8d26cd0fl },
{ 0x2d42ddfd92f1169al,0x63aeb1ac4cbf2392l,0x1de9e8770691a2afl,
0xebe79af7d98021dal },
0 },
/* 16 << 64 */
{ { 0x58af2010f5b343bcl,0x0f2e400af2f142fel,0x3483bfdea85f4bdfl,
0xf0b1d09303bfeaa9l },
{ 0x2ea01b95c7081603l,0xe943e4c93dba1097l,0x47be92adb438f3a6l,
0x00bb7742e5bf6636l },
0 },
/* 17 << 64 */
{ { 0x66917ce63b5f1cc4l,0x37ae52eace872e62l,0xbb087b722905f244l,
0x120770861e6af74fl },
{ 0x4b644e491058edeal,0x827510e3b638ca1dl,0x8cf2b7046038591cl,
0xffc8b47afe635063l },
0 },
/* 19 << 64 */
{ { 0x7677408d6dfafed3l,0x33a0165339661588l,0x3c9c15ec0b726fa0l,
0x090cfd936c9b56dal },
{ 0xe34f4baea3c40af5l,0x3469eadbd21129f1l,0xcc51674a1e207ce8l,
0x1e293b24c83b1ef9l },
0 },
/* 21 << 64 */
{ { 0x796d3a85825808bdl,0x51dc3cb73fd6e902l,0x643c768a916219d1l,
0x36cd7685a2ad7d32l },
{ 0xe3db9d05b22922a4l,0x6494c87edba29660l,0xf0ac91dfbcd2ebc7l,
0x4deb57a045107f8dl },
0 },
/* 23 << 64 */
{ { 0xb6c69ac82094cec3l,0x9976fb88403b770cl,0x1dea026c4859590dl,
0xb6acbb468562d1fdl },
{ 0x7cd6c46144569d85l,0xc3190a3697f0891dl,0xc6f5319548d5a17dl,
0x7d919966d749abc8l },
0 },
/* 25 << 64 */
{ { 0xb53b7de561906373l,0x858dbadeeb999595l,0x8cbb47b2a59e5c36l,
0x660318b3dcf4e842l },
{ 0xbd161ccd12ba4b7al,0xf399daabf8c8282al,0x1587633aeeb2130dl,
0xa465311ada38dd7dl },
0 },
/* 27 << 64 */
{ { 0x2dae9082be7cf3a6l,0xcc86ba92bc967274l,0xf28a2ce8aea0a8a9l,
0x404ca6d96ee988b3l },
{ 0xfd7e9c5d005921b8l,0xf56297f144e79bf9l,0xa163b4600d75ddc2l,
0x30b23616a1f2be87l },
0 },
/* 28 << 64 */
{ { 0x19e6125dec3f1decl,0x07b1f040911178dal,0xd93ededa904a6738l,
0x55187a5a0bebedcdl },
{ 0xf7d04722eb329d41l,0xf449099ef170b391l,0xfd317a69ca99f828l,
0x50c3db2b34a4976dl },
0 },
/* 29 << 64 */
{ { 0x0064d8585499fb32l,0x7b67bad977a8aeb7l,0x1d3eb9772d08eec5l,
0x5fc047a6cbabae1dl },
{ 0x0577d159e54a64bbl,0x8862201bc43497e4l,0xad6b4e282ce0608dl,
0x8b687b7d0b167aacl },
0 },
/* 31 << 64 */
{ { 0xe9f9669cda94951el,0x4b6af58d66b8d418l,0xfa32107417d426a4l,
0xc78e66a99dde6027l },
{ 0x0516c0834a53b964l,0xfc659d38ff602330l,0x0ab55e5c58c5c897l,
0x985099b2838bc5dfl },
0 },
/* 33 << 64 */
{ { 0xe7a935fa1684cb3bl,0x571650b5a7d7e69dl,0x6ba9ffa40328c168l,
0xac43f6bc7e46f358l },
{ 0x54f75e567cb6a779l,0x4e4e2cc8c61320del,0xb94258bc2b8903d0l,
0xc7f32d57ceecabe0l },
0 },
/* 34 << 64 */
{ { 0x34739f16cd7d9d89l,0x6daab4267ca080b5l,0x772086ff40e19f45l,
0x43caa56118c61b42l },
{ 0x0ba3d4a8dbf365f1l,0xa0db435ee760ad97l,0xfd6f30d56916c59bl,
0xab34cb5dafe12f5dl },
0 },
/* 35 << 64 */
{ { 0x445b86ea02a3260al,0x8c51d6428d689babl,0x183334d65588904cl,
0xf8a3b84d479d6422l },
{ 0x581acfa0f0833d00l,0xc50827bc3b567d2dl,0x2c935e6daddcf73el,
0x2a645f7704dd19f2l },
0 },
/* 36 << 64 */
{ { 0x78d2e8dfcb564473l,0x4349a97357d5621al,0x9d835d89218f8b24l,
0x01fe7bc5079b6ee2l },
{ 0xe57f2a2b5b3b5dcel,0x5a8637b75fe55565l,0x83ff34aea41dbae7l,
0xfce1199c950a7a8fl },
0 },
/* 37 << 64 */
{ { 0x0ca5d25bf8e71ce2l,0x204edc4a062685dal,0x06fe407d87678ec2l,
0xd16936a07defa39al },
{ 0x3b108d84af3d16d0l,0xf2e9616d0305cad0l,0xbc9537e6f27bed97l,
0x71c2d699ebc9f45cl },
0 },
/* 39 << 64 */
{ { 0x203bdd84cdcd3a85l,0x1107b901ade3ccfal,0xa7da89e95533159dl,
0x8d834005860e8c64l },
{ 0x914bc0eb2a7638f7l,0xc66ce0a6620e8606l,0x11ef98c2e6c12dc0l,
0x25666b1d7780fc0el },
0 },
/* 40 << 64 */
{ { 0x374f541f3e707706l,0x9a4d3638a831d0cfl,0x4ab4f4831518ca04l,
0x54e3ee5dfe38c318l },
{ 0x383ae36403c8819bl,0xa9d1daa12e17864cl,0x245a97b350eeaa5bl,
0x5362d00999bf4e83l },
0 },
/* 41 << 64 */
{ { 0x6667e89f4ded8a4fl,0xa59161abc36a7795l,0x1c96f6f9331ccf94l,
0xf2727e879a686d49l },
{ 0x0f94894bb841295fl,0xb0fe8f744a0503d1l,0x60c581c7ef407926l,
0x1980c8e13edb7e1cl },
0 },
/* 43 << 64 */
{ { 0x47948c84c5de1a41l,0xd595d14a48959688l,0x3bfca4be86ff21c9l,
0xb5ff59b86a4191cal },
{ 0xced1dd1d65094c86l,0xd57b86559dc9d001l,0xbcac6fa3486e51d7l,
0x8e97e2637b774c1bl },
0 },
/* 44 << 64 */
{ { 0xfc0313c29bd43980l,0x9c954b70f172db29l,0x679bdcb7f954a21al,
0x6b48170954e2e4fcl },
{ 0x318af5f530baf1d0l,0x26ea8a3ccbf92060l,0xc3c69d7ccd5ae258l,
0xa73ba0470ead07c9l },
0 },
/* 45 << 64 */
{ { 0xe82eb003e35dca85l,0xfd0000fa31e39180l,0xbca90f746735f378l,
0xe6aa783158c943edl },
{ 0x0e94ecd5b6a438d7l,0xc02b60faf9a5f114l,0x4063568b8b1611ebl,
0x1398bdc1272509ecl },
0 },
/* 46 << 64 */
{ { 0xc2ef6a01be3e92d1l,0x1bce9c27282bd5ddl,0xf7e488f3adda0568l,
0xd4f15fdb1af9bb8bl },
{ 0x8c490ade4da846efl,0x76229da17f0b825el,0xc8b812082a6711c6l,
0x511f5e23b4c523aal },
0 },
/* 47 << 64 */
{ { 0xbdf4e7049970f46el,0x70e220288dadbd1al,0x2b86c97fb1223d26l,
0x042ad22ecf62f51al },
{ 0x72944339ba2ed2e9l,0x0ba0d10ef94fa61dl,0x3f86164194e68f15l,
0x1312a74acb86c545l },
0 },
/* 48 << 64 */
{ { 0x3a63c39731815e69l,0x6df9cbd6dcdd2802l,0x4c47ed4a15b4f6afl,
0x62009d826ac0f978l },
{ 0x664d80d28b898fc7l,0x72f1eeda2c17c91fl,0x9e84d3bc7aae6609l,
0x58c7c19528376895l },
0 },
/* 49 << 64 */
{ { 0x640ebf5d5b8d354al,0xa5f3a8fdb396ff64l,0xd53f041d8378ed81l,
0x1969d61bc1234ad2l },
{ 0x16d7acffeb68bde2l,0x63767a68f23e9368l,0x937a533c38928d95l,
0xee2190bbbeb0f1f2l },
0 },
/* 51 << 64 */
{ { 0xb6860c9a73a4aafbl,0xb2f996290488870dl,0x16ef6232572d9e25l,
0x5b9eb1bad1383389l },
{ 0xabf713a7ed8d77f8l,0xd2b4a2e9e2b69e64l,0xa1a22cfd6d6f17c2l,
0x4bfd6f992d604511l },
0 },
/* 52 << 64 */
{ { 0xdcff7630d9294f07l,0x89b765d68dba8fd0l,0x553e55de8dbcaccdl,
0x9b4a009eed702bf8l },
{ 0xf6e534dd27b8ca0dl,0xc4496b346177fd52l,0x378ce6f6c87bb7b7l,
0x68633d4844cc19f0l },
0 },
/* 53 << 64 */
{ { 0xfe550021bc84c625l,0x8d7169986d45e4a3l,0xa09c6ded4c0c66b7l,
0xe32313aeb9e1d547l },
{ 0x8ce775b4d1e8e0b9l,0xa899f9102654dd15l,0x7c38aa066cc8b2a9l,
0xe6ebb291d6ce6cc0l },
0 },
/* 55 << 64 */
{ { 0x5963df62a6991216l,0x4c17f72246996010l,0x131dc2b840477722l,
0x78bf50b0d1765a75l },
{ 0x360afd587ceaca12l,0xebc55dbb139cd470l,0x9083e27e4c05541cl,
0xc10057a3b873d757l },
0 },
/* 57 << 64 */
{ { 0x440009c3deed7769l,0xde2fa58a14fd8a44l,0x509e7df35b627596l,
0x3d76a87cc3bb07a7l },
{ 0x8018fee5b8ef000al,0x71ce33e9823fd4b6l,0x3a1cac37469c0bb1l,
0x92fe7aeaf3eec8eel },
0 },
/* 59 << 64 */
{ { 0x37ad0eb8de64e568l,0x4ac669bca1e3e20el,0x240d0ac22ce944edl,
0xd532039a3c1b28fbl },
{ 0xa2bb899a23acba6cl,0xd472af671af937e1l,0x04478f7b8851e753l,
0x74030eef5ea05307l },
0 },
/* 60 << 64 */
{ { 0x3559e7b67dc17874l,0xd0caf0ef8195cc2al,0x07c067880cd24dd9l,
0x01a99ea002857c41l },
{ 0xd86579e490f82f63l,0xb1e0658ae41c9237l,0x075ffafd93fd1e79l,
0x6e70403547f60b8fl },
0 },
/* 61 << 64 */
{ { 0x2246ad76c1d68c31l,0x9126202b0d5c4677l,0x5f40de81638882dcl,
0xb131988ca3253a7fl },
{ 0x766f1897ba9ae0a8l,0xf0e01dd41d8b5fefl,0x03e28ce3ed7b12c8l,
0x44b3a2be1fd20e1el },
0 },
/* 63 << 64 */
{ { 0xd4c8e8e5f2a5f247l,0x42ffd816c2c7c979l,0x89e1485211093d1al,
0x98f44a4613871ebbl },
{ 0x374849964b032e2dl,0x28a430f445995a61l,0xf2f9acbad5be16b6l,
0xac98a5402d8e02aal },
0 },
/* 64 << 64 */
{ { 0x0d53f5c7a3e6fcedl,0xe8cbbdd5f45fbdebl,0xf85c01df13339a70l,
0x0ff71880142ceb81l },
{ 0x4c4e8774bd70437al,0x5fb32891ba0bda6al,0x1cdbebd2f18bd26el,
0x2f9526f103a9d522l },
0 },
/* 65 << 64 */
{ { 0x48334fdcc20b8d30l,0x25f887d749414fddl,0x9ccd513311a2cf0dl,
0x7e7799e4d08975a4l },
{ 0xb5993a53729b951cl,0x0cf14a5a62dbc6a8l,0xb39ed36efe4d16eel,
0xb75f3fb681bda63al },
0 },
/* 71 << 64 */
{ { 0xac7db8706d4f68b5l,0x819a13c7be49b3a4l,0x646ae2b1418bf1e9l,
0x25b53a5f69b3a5ccl },
{ 0xd23d94d37de26578l,0x8bb581caecdd138al,0x9e053f67f857b0dal,
0xe679cc7a255ff474l },
0 },
/* 77 << 64 */
{ { 0x4a4b8d990df097f9l,0x0ae1227a0b4173cal,0x0d401778adb72178l,
0xd29848b43f421e0cl },
{ 0xc5eec6096eb0722dl,0x527d72877e12c028l,0xed12a9e71b5dcc0cl,
0x26b27344dcf4b4dal },
0 },
/* 83 << 64 */
{ { 0x695c502565e4408al,0x2d23768fcbce94e6l,0x1505fa1e5080b88dl,
0x5c8fbab6855f7cc1l },
{ 0x70d876f275fb125dl,0x456421330a252007l,0xfe99249a8ee05be1l,
0x0893b620f4bf5490l },
0 },
/* 89 << 64 */
{ { 0x2a59df1ed9fe6bdfl,0x96a9c791785e057fl,0x4b0d795f86a1d751l,
0x196c8e0aec642886l },
{ 0x6df67899bc0e055cl,0x4173204a63007433l,0xb5ee4efec21c9245l,
0x2f7d4c75c1451bael },
0 },
/* 95 << 64 */
{ { 0x2ad7f836b1047b7fl,0x368d431a71f6bfe1l,0xfcd933b103db4667l,
0xfff77ed3ecb81330l },
{ 0x3677935b44958bd4l,0xa6cfcda8a1d5a9e7l,0xb2b73bc699ff9fael,
0x1c2cd628f866d3c4l },
0 },
/* 101 << 64 */
{ { 0x2756873495031ceel,0xebed373d51091c1bl,0x398fef0819aa2f27l,
0x2f26174e2c0a9feal },
{ 0xedca72b6b219be3fl,0x001a8fdc80503df8l,0x9a2fadbb6b93f643l,
0xd48e552cd44cebc3l },
0 },
/* 107 << 64 */
{ { 0x6c0dbb68667a7ab6l,0x00490ce757630e91l,0x04976cd57eb2f382l,
0x9ee486b655dda4a3l },
{ 0x4ea5c9c9cca0d01cl,0xa6e054b639f69c6dl,0xb3b7ac992ecab239l,
0x80c9f6d17597512el },
0 },
/* 113 << 64 */
{ { 0x64dfdd68b942fad9l,0xe7d8e88da5eb3d14l,0xb7281dc2382f6301l,
0xcfa2ee6dbfe00a7fl },
{ 0x6e617657dc7be39fl,0x22d58dd6591c6e3al,0xd3a4003918318c13l,
0xcac6c830981b6b72l },
0 },
/* 116 << 64 */
{ { 0x009690ffb4fbfaa0l,0x8bbbdab73619c6dbl,0xc6d44273728356e8l,
0xfd76f0d8e453ec35l },
{ 0x775c2554aac28a29l,0x28f7af9d5c55e4f0l,0xbacf54a688e8ad4dl,
0x85b018e80aa76ddfl },
0 },
/* 119 << 64 */
{ { 0x27893f7983ce88e4l,0x9556c9977785f13dl,0x83d3c38d3a35831el,
0x3856c829d12f0a1dl },
{ 0xb308d84c93259c1al,0x4ef87ab4691ffd28l,0x76a18d5321a88c58l,
0xf13cd5d53503cb4dl },
0 },
/* 125 << 64 */
{ { 0x669d93dba8cc0db3l,0x403cb9200dfcfcf4l,0x5def4a03e77c3979l,
0x2a05c9423e2e2522l },
{ 0xd86dca52b5f48bf0l,0x174766de5828a135l,0x116290b40d3a96d0l,
0xe1999457aeea1193l },
0 },
},
{
/* 0 << 72 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 72 */
{ { 0x0db2fb5ed005832al,0x5f5efd3b91042e4fl,0x8c4ffdc6ed70f8cal,
0xe4645d0bb52da9ccl },
{ 0x9596f58bc9001d1fl,0x52c8f0bc4e117205l,0xfd4aa0d2e398a084l,
0x815bfe3a104f49del },
0 },
/* 3 << 72 */
{ { 0x524d226ad7ab9a2dl,0x9c00090d7dfae958l,0x0ba5f5398751d8c2l,
0x8afcbcdd3ab8262dl },
{ 0x57392729e99d043bl,0xef51263baebc943al,0x9feace9320862935l,
0x639efc03b06c817bl },
0 },
/* 4 << 72 */
{ { 0xe839be7d341d81dcl,0xcddb688932148379l,0xda6211a1f7026eadl,
0xf3b2575ff4d1cc5el },
{ 0x40cfc8f6a7a73ae6l,0x83879a5e61d5b483l,0xc5acb1ed41a50ebcl,
0x59a60cc83c07d8fal },
0 },
/* 5 << 72 */
{ { 0xdec98d4ac3b81990l,0x1cb837229e0cc8fel,0xfe0b0491d2b427b9l,
0x0f2386ace983a66cl },
{ 0x930c4d1eb3291213l,0xa2f82b2e59a62ae4l,0x77233853f93e89e3l,
0x7f8063ac11777c7fl },
0 },
/* 7 << 72 */
{ { 0x36e607cf02ff6072l,0xa47d2ca98ad98cdcl,0xbf471d1ef5f56609l,
0xbcf86623f264ada0l },
{ 0xb70c0687aa9e5cb6l,0xc98124f217401c6cl,0x8189635fd4a61435l,
0xd28fb8afa9d98ea6l },
0 },
/* 9 << 72 */
{ { 0x3d4da8c3017025f3l,0xefcf628cfb9579b4l,0x5c4d00161f3716ecl,
0x9c27ebc46801116el },
{ 0x5eba0ea11da1767el,0xfe15145247004c57l,0x3ace6df68c2373b7l,
0x75c3dffe5dbc37acl },
0 },
/* 10 << 72 */
{ { 0xa2a147dba28a0749l,0x246c20d6ee519165l,0x5068d1b1d3810715l,
0xb1e7018c748160b9l },
{ 0x03f5b1faf380ff62l,0xef7fb1ddf3cb2c1el,0xeab539a8fc91a7dal,
0x83ddb707f3f9b561l },
0 },
/* 11 << 72 */
{ { 0xb57276d980101b98l,0x760883fdb82f0f66l,0x89d7de754bc3eff3l,
0x03b606435dc2ab40l },
{ 0xcd6e53dfe05beeacl,0xf2f1e862bc3325cdl,0xdd0f7921774f03c3l,
0x97ca72214552cc1bl },
0 },
/* 13 << 72 */
{ { 0x760cb3b5e224c5d7l,0xfa3baf8c68616919l,0x9fbca1138d142552l,
0x1ab18bf17669ebf5l },
{ 0x55e6f53e9bdf25ddl,0x04cc0bf3cb6cd154l,0x595bef4995e89080l,
0xfe9459a8104a9ac1l },
0 },
/* 15 << 72 */
{ { 0x694b64c5abb020e8l,0x3d18c18419c4eec7l,0x9c4673ef1c4793e5l,
0xc7b8aeb5056092e6l },
{ 0x3aa1ca43f0f8c16bl,0x224ed5ecd679b2f6l,0x0d56eeaf55a205c9l,
0xbfe115ba4b8e028bl },
0 },
/* 16 << 72 */
{ { 0x3e22a7b397acf4ecl,0x0426c4005ea8b640l,0x5e3295a64e969285l,
0x22aabc59a6a45670l },
{ 0xb929714c5f5942bcl,0x9a6168bdfa3182edl,0x2216a665104152bal,
0x46908d03b6926368l },
0 },
/* 17 << 72 */
{ { 0x9b8be0247fcba850l,0x81eb5797820a181el,0xa0f2812230a01211l,
0x7e9cdc3cae7b8821l },
{ 0x202332cc72ce15e7l,0xcd3cb2bbcb8238d7l,0xe4ab63dfc6e82c43l,
0x58bd00283183d717l },
0 },
/* 19 << 72 */
{ { 0x02d57b7e717ed7b5l,0xd22e5b244dbce1a2l,0x174bd7712a4cdcf5l,
0xa6fdb801408205bbl },
{ 0x67b4b0695e1387e9l,0x332b19a10591a442l,0x24edd916ccacf366l,
0xbe34cc4534958a50l },
0 },
/* 21 << 72 */
{ { 0xa3f46e1e3e66d391l,0xb4a732cd7d6369b2l,0x99c3b85d402c1022l,
0x7dccfcbe2b54932el },
{ 0xa6ddaa7b56b1dfe2l,0x31dc78a5e34a82c9l,0x8abeb3da704f3941l,
0xdf11a36cca55fa98l },
0 },
/* 23 << 72 */
{ { 0x6c01f77a16e00c1bl,0x82515490839eaaacl,0x62f3a4ef3470d334l,
0x5a29a6491c1dcd6cl },
{ 0x46b6782ece997a25l,0x9978fb35d3579953l,0x98f5a9df0960e0cel,
0x547dc8391f527a4cl },
0 },
/* 25 << 72 */
{ { 0x395b15835d9dc24fl,0xa4256932c73ae680l,0x0542960efaa2c8e9l,
0x2bb3adee71068c6al },
{ 0xa706099b570b4554l,0x85d12bb5f4e278d6l,0xd78af6f664296843l,
0xc7d3b3888428c633l },
0 },
/* 27 << 72 */
{ { 0x34d44f9343b7e597l,0xdde440a7c2530f42l,0x7270a0817856bdb9l,
0x86a945eb5353032fl },
{ 0x6c2f8e9966d39810l,0x0642a31b9b8b4b6bl,0x51679e62d1509d82l,
0x0120001c90f8ff16l },
0 },
/* 28 << 72 */
{ { 0x50a1c1062e36e34al,0x74e8f58ce024ed1al,0x3f0f1dfa1300d726l,
0x6680df267b4a2d18l },
{ 0x12b5979d8235b3b7l,0x1d2fafcb8a611493l,0x73ebda968848ece5l,
0xe996c275a413e399l },
0 },
/* 29 << 72 */
{ { 0x46b7d7c7495ff000l,0xe60ed097baed95d1l,0xaa8804ac6e38f9c0l,
0x92990c0645c6f9bbl },
{ 0xcae6a439c0919851l,0x713dff151bf5e1f2l,0x5d262c302eb38cdbl,
0xb73d505190df31dfl },
0 },
/* 31 << 72 */
{ { 0x921e7b1c32d9268cl,0x34db2b964276fad4l,0x0ec56d34cc44e730l,
0x59be3a46096545b7l },
{ 0xe9fdbc9766cf3a6al,0x7b2f83edd04e9b53l,0x6d99b3cc8fbae3e7l,
0x8eb5646c7ada3a40l },
0 },
/* 33 << 72 */
{ { 0xa69ab906fc3302bfl,0x49ae6ba7d0872e90l,0xc9e2d6d1f3a1bfc3l,
0x11dfe85f1a033500l },
{ 0x45189c2998666dbdl,0xba6aab88bbfd13cel,0xcf9c8b43dbd38cd4l,
0xa0cb581b68009236l },
0 },
/* 34 << 72 */
{ { 0xff18c42a16288a7al,0x6363ace430699163l,0x8546d6332a2ce353l,
0x5e0379ef7b6b3418l },
{ 0x2df2bb463e941bb2l,0xae7c091888e1aacel,0x6bc0982d83f5a37al,
0x8521bd02676d09e0l },
0 },
/* 35 << 72 */
{ { 0x6531dff33d361aacl,0x59b954477c8cac2el,0xcc104df6c5cb7363l,
0x68b571c519364acdl },
{ 0x7521e962979c3bc0l,0xbe0544c9c4aa1f92l,0x59127fe92a31eabbl,
0x760ac28593d8b55bl },
0 },
/* 36 << 72 */
{ { 0x62ed534c6115164bl,0xaebe9e4cdce84ceal,0xd81c91a1c83f64c3l,
0x325a8ca8ecacd09al },
{ 0x7ea57ad968b45df1l,0xa555636fd530c5d2l,0x23aff510591cfe32l,
0x46ff147637bedab9l },
0 },
/* 37 << 72 */
{ { 0xa5a7e81ecb2edb3bl,0x9b0dc5f4f8fbe238l,0xc6f258087c66dd34l,
0xb4a57503a3f8f38al },
{ 0x195b433513571b5bl,0xa32840763ccbc30bl,0x64ae1ffccf99ddd5l,
0x0dfc8772aa844e76l },
0 },
/* 39 << 72 */
{ { 0x8b471afbfb22341dl,0xbf448b43397afdd2l,0x4cb08409682c37edl,
0xc3acfae6a948f1f6l },
{ 0xf58462549e634707l,0x50161a78bd949f52l,0xf0529e752fe73566l,
0xe7e3fdef6fda53e0l },
0 },
/* 40 << 72 */
{ { 0x56dab1c8321a518cl,0xfd4439a68bce226fl,0xe0b30d194facb9fal,
0xb5052f307583571bl },
{ 0x1442641012afd476l,0xd02e417203fe624al,0xfc394f65531c92e6l,
0x16d4bf5ad4bc0b52l },
0 },
/* 41 << 72 */
{ { 0xa38ac25eb4ec4f0fl,0x5399c024de72b27dl,0x08318aafd81a3d65l,
0x1af227a70c20e5d9l },
{ 0x6389cc9a26c54e25l,0x438298bba47dc27fl,0x75386cca1a63fa0el,
0xc941e84cdf7bc1b0l },
0 },
/* 43 << 72 */
{ { 0x81cad748fdfe3faal,0x752107b453ff1988l,0x8d8bb7001a8fd829l,
0x69838e15ca821d8el },
{ 0x24371ede3b9f6b34l,0x19b4bb24d91e1495l,0x90899ca1e598ded1l,
0xbbb78b167c14e9e3l },
0 },
/* 44 << 72 */
{ { 0xa577e84cbef239aal,0x656d2b6f8904b4d4l,0x2f6defe6ca4007edl,
0xca6e517737770796l },
{ 0x4c62fcba298b6448l,0x046849660f62e00dl,0x806c2f0390b07d82l,
0x730855795e8d1e60l },
0 },
/* 45 << 72 */
{ { 0x24488802f4703b78l,0x6c9323bee9eaa1e0l,0x242990e2aa94c170l,
0x3292bc42a15b5886l },
{ 0x60ccb5bc908af203l,0x8fd63583713b09bdl,0x40791ecad693fa28l,
0xea80abf2941af8a1l },
0 },
/* 46 << 72 */
{ { 0xf9c0315071145fe3l,0x80a71b55d7873a7dl,0xd134244b5e10bac7l,
0x303f7e12ded3a4b4l },
{ 0x58e6f17e803b7a3bl,0xcd6f64130b1ca6b4l,0x25e744ce2ce65aa2l,
0xf2bbc66b952efa51l },
0 },
/* 47 << 72 */
{ { 0xc8b212e75913e1f3l,0xf018ab208d416886l,0x28249e15b617cac4l,
0x837fcba1693ed09al },
{ 0x9c457e511c15a1bcl,0x9354758756c7f3f1l,0x1afd80348be18306l,
0xa43d56982256ab14l },
0 },
/* 48 << 72 */
{ { 0xce06b88210395755l,0x117ce6345ec1df80l,0xfefae513eff55e96l,
0xcf36cba6fd7fed1el },
{ 0x7340eca9a40ebf88l,0xe6ec1bcfb3d37e12l,0xca51b64e86bbf9ffl,
0x4e0dbb588b40e05el },
0 },
/* 49 << 72 */
{ { 0xf9c063f62f2be34bl,0x9ca32fa99c20f16bl,0xe02e350d0125a01al,
0x62d66c54e6516c25l },
{ 0x21b154ad5120bedbl,0xb1077f4e8d6ff9d8l,0xd01a46c300bb4941l,
0x9d381847d1460588l },
0 },
/* 51 << 72 */
{ { 0xf3a9b311581cb57bl,0x65fb3fb649727d13l,0xb8496e3d35131142l,
0xf7642f554d0cdab9l },
{ 0xe2f66f0e9f6d7e45l,0xbae14cedaa22fcd4l,0x1f769f0e49b2e05al,
0x08c4d7784ac5191el },
0 },
/* 52 << 72 */
{ { 0x86f9108ece4aa825l,0xbe5b2f317e5a5fbfl,0x2772c1b49254bb78l,
0xae6cdf5f4ff8ac5cl },
{ 0x106cd94bf6b7a12el,0xbe0915d6d1c7a1a5l,0x8bf6bc8d3b40ac5el,
0xbb89180423ee3acal },
0 },
/* 53 << 72 */
{ { 0x76f15eaa618b5ea1l,0xec1ea62e6d4ad0c8l,0x301b60c8168d57fal,
0x454d5f771edbfb05l },
{ 0xea888e29a936031al,0x01303d3f0174dd17l,0x8b5e06b4244254e7l,
0x00ebf03509724acfl },
0 },
/* 55 << 72 */
{ { 0x66ce3ded8e66d509l,0x368e38d05a488586l,0x7b9ae220c7eedf5el,
0x67e9ea52bfbf9d62l },
{ 0xe9cbf53d99b7ecb3l,0xfde3e8c0908bf072l,0x288400ab1107e21fl,
0x24c8856256532667l },
0 },
/* 57 << 72 */
{ { 0x0d5f9955ca9d3ad1l,0x545feba13a1daec0l,0xd22972016cb30f23l,
0x9660175ccef6cf6el },
{ 0xbf3e341a395738dcl,0x74a5efbc80f7cca4l,0xc4f9a07bbebc6a60l,
0x2f1e3dad4b1f915al },
0 },
/* 59 << 72 */
{ { 0xada4423f0d5e2e34l,0x2d31f4920b372358l,0xd7f469370e2d6a8cl,
0xf5e7ccfe0028e4ael },
{ 0x20fcb1f3928854b2l,0x2a8973c507271bf6l,0xe87de33e5fa88fe1l,
0xe9af2dce7bd3c2a6l },
0 },
/* 60 << 72 */
{ { 0x185a19d959d097b2l,0xb1c72a3a0dea2875l,0x3b371628f9021f08l,
0x45f1255bfa9d6ac1l },
{ 0x9ff36a90cfd72c0dl,0x8c7315db24fe2376l,0x9aebcde04b34d42cl,
0x2129ab16923025f3l },
0 },
/* 61 << 72 */
{ { 0x341b9dd714b4cf50l,0x7c6e4634d619d00el,0x571d6e2fdf2165ael,
0xdedf9cd18dbe9db5l },
{ 0x52a152777c5f3dc3l,0x7d27c97ef2901cf7l,0x5e098b54d02a85dfl,
0x6fce3e13088e3640l },
0 },
/* 63 << 72 */
{ { 0xfa95be147a939904l,0xdfcf5b9bb56365ccl,0xdbb546bdd2d66922l,
0xf26a8b9cda03ca7fl },
{ 0x96a8042d16821c0cl,0xe6729970e88ede60l,0xd028130d1285e303l,
0x1678b01688b7de75l },
0 },
/* 64 << 72 */
{ { 0x96649933aed1d1f7l,0x566eaff350563090l,0x345057f0ad2e39cfl,
0x148ff65b1f832124l },
{ 0x042e89d4cf94cf0dl,0x319bec84520c58b3l,0x2a2676265361aa0dl,
0xc86fa3028fbc87adl },
0 },
/* 65 << 72 */
{ { 0x5db4884124627d04l,0xf92740766f7e3febl,0xd09eb11773496240l,
0xd48e51419a6b9ec9l },
{ 0xcbb2ac97b7336e27l,0xe794fb760640bf6cl,0xc0b7f78dc7c7fa3fl,
0x1355d071fd2edbb9l },
0 },
/* 71 << 72 */
{ { 0x575d9724e84e25a3l,0x068690a13d4d8708l,0x8a7b1c6c54dd62d0l,
0x8c45e1b37f88e231l },
{ 0x38c665466d85afe2l,0x65231642e1d69f1bl,0xb71c53a090687ec1l,
0xdf8469d777fb5981l },
0 },
/* 77 << 72 */
{ { 0xb920b503144fe6bcl,0x54b0f0593914c130l,0x63188d5a8269b650l,
0x8d7780962fc7064dl },
{ 0xbf7b0eec5e50839al,0xaf8a7ddbe242cd06l,0x93df850809cecdb9l,
0x4db58a72410659e9l },
0 },
/* 83 << 72 */
{ { 0x460d9b383baba3cdl,0x52386e4d2cf860b8l,0xd224fe5da3924b9al,
0xe4a4be7bcf14d813l },
{ 0xb0759e82ed3774fdl,0x57c064b38d9b6c59l,0x301ab902aee183d0l,
0xf1c873495ba207c3l },
0 },
/* 89 << 72 */
{ { 0xe8245b0a6dd58696l,0x0714eedb61091043l,0x7d9874459101129bl,
0x4a7f1f03a0b27a21l },
{ 0x282e5cff71ee2045l,0x25c694a3da5c6b41l,0xb3d8e21f5542ca55l,
0x57d64170e3601af0l },
0 },
/* 95 << 72 */
{ { 0x9c8e86c6c6c4fee6l,0x70194db5a596119bl,0xfc6271d30e06050cl,
0x17d94c89b15f18d2l },
{ 0x76c9e9bd49817224l,0x42621638b989c5bcl,0x1e9c4cbeb769d70cl,
0x85e227c3b87f2783l },
0 },
/* 101 << 72 */
{ { 0x146185d2117e73c5l,0xbf6214696dc38116l,0x9af9d9b5459e72cbl,
0x7512882fb3930b85l },
{ 0xfe935379d36583b8l,0xb83ad35e7c7fdcdel,0x093ca0ab2658ae4bl,
0xc9b16d60a756681bl },
0 },
/* 107 << 72 */
{ { 0x12c24d9195d3519bl,0x1fc6db1bdb43fd06l,0x1ae49fed25bbde51l,
0x27072e0b76d2827bl },
{ 0xdcb92e05aeb8c47fl,0x601d414056145f67l,0xcb7002652a39e8f7l,
0x6ce9facc35620d8cl },
0 },
/* 113 << 72 */
{ { 0x5c428a5ebd702c22l,0xcb6863291616129dl,0xe6278994eabcb9a1l,
0xb409a10b9327e540l },
{ 0x6899f7cb66cf96aal,0xa9225f051c64b545l,0x00c5522ee3feec21l,
0x35503728e083315cl },
0 },
/* 116 << 72 */
{ { 0x1916d88cf1600077l,0x1ac9c238e3a58b2bl,0x3080df8535f3508dl,
0x86cc18712744912bl },
{ 0x56aec9d5ccd15044l,0x8dd9061a5db0ab17l,0x84d6bc4e2c84171dl,
0xd569c7d70989a5bdl },
0 },
/* 119 << 72 */
{ { 0x24446b2702af35abl,0x071710478eea4565l,0xba4989db728306e6l,
0x2cd692a85954a558l },
{ 0x644e02763576b32el,0x7efdb65c1f9fe65dl,0x04b2828e8796c048l,
0xcfd22481187b979bl },
0 },
/* 125 << 72 */
{ { 0xa10d104084ea9701l,0x27dd0dcb415e187dl,0xf667c5e939bfe45cl,
0x3995e4ae55b67506l },
{ 0xb25117d9b5a14801l,0xeee58525fe142e92l,0x100b856a6dbae9f1l,
0xada7057629586658l },
0 },
},
{
/* 0 << 80 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 80 */
{ { 0xe4050f1cf1c367cal,0x9bc85a9bc90fbc7dl,0xa373c4a2e1a11032l,
0xb64232b7ad0393a9l },
{ 0xf5577eb0167dad29l,0x1604f30194b78ab2l,0x0baa94afe829348bl,
0x77fbd8dd41654342l },
0 },
/* 3 << 80 */
{ { 0xa2f7932c68af43eel,0x5502468e703d00bdl,0xe5dc978f2fb061f5l,
0xc9a1904a28c815adl },
{ 0xd3af538d470c56a4l,0x159abc5f193d8cedl,0x2a37245f20108ef3l,
0xfa17081e223f7178l },
0 },
/* 4 << 80 */
{ { 0x1fe2a9b2b4b4b67cl,0xc1d10df0e8020604l,0x9d64abfcbc8058d8l,
0x8943b9b2712a0fbbl },
{ 0x90eed9143b3def04l,0x85ab3aa24ce775ffl,0x605fd4ca7bbc9040l,
0x8b34a564e2c75dfbl },
0 },
/* 5 << 80 */
{ { 0x5c18acf88e2f7d90l,0xfdbf33d777be32cdl,0x0a085cd7d2eb5ee9l,
0x2d702cfbb3201115l },
{ 0xb6e0ebdb85c88ce8l,0x23a3ce3c1e01d617l,0x3041618e567333acl,
0x9dd0fd8f157edb6bl },
0 },
/* 7 << 80 */
{ { 0x516ff3a36fa6110cl,0x74fb1eb1fb93561fl,0x6c0c90478457522bl,
0xcfd321046bb8bdc6l },
{ 0x2d6884a2cc80ad57l,0x7c27fc3586a9b637l,0x3461baedadf4e8cdl,
0x1d56251a617242f0l },
0 },
/* 9 << 80 */
{ { 0x892c81a321175ec1l,0x9159a505ee018109l,0xc70130532d8be316l,
0x76060c21426fa2e5l },
{ 0x074d2dfc6b6f0f22l,0x9725fc64ca01a671l,0x3f6679b92770bd8el,
0x8fe6604fd7c9b3fel },
0 },
/* 10 << 80 */
{ { 0xce711154b6e00a84l,0xd9fe7e4224890e60l,0xd10bc6c34560988fl,
0xbdc2ef526859b004l },
{ 0xdcf0d868d5c890eel,0x893115e6119c47dcl,0xe97966fbee714567l,
0x117813355c85aa53l },
0 },
/* 11 << 80 */
{ { 0x71d530cc73204349l,0xc9df473d94a0679cl,0xc572f0014261e031l,
0x9786b71f22f135fel },
{ 0xed6505fa6b64e56fl,0xe2fb48e905219c46l,0x0dbec45bedf53d71l,
0xd7d782f2c589f406l },
0 },
/* 13 << 80 */
{ { 0x06513c8a446cd7f4l,0x158c423b906d52a6l,0x71503261c423866cl,
0x4b96f57093c148eel },
{ 0x5daf9cc7239a8523l,0x611b597695ac4b8bl,0xde3981db724bf7f6l,
0x7e7d0f7867afc443l },
0 },
/* 15 << 80 */
{ { 0x3d1ab80c8ce59954l,0x742c5a9478222ac0l,0x3ddacbf894f878ddl,
0xfc085117e7d54a99l },
{ 0xfb0f1dfa21e38ec2l,0x1c7b59cb16f4ff7fl,0x988752397ea888fel,
0x705d270cb10dc889l },
0 },
/* 16 << 80 */
{ { 0xe5aa692a87dec0e1l,0x010ded8df7b39d00l,0x7b1b80c854cfa0b5l,
0x66beb876a0f8ea28l },
{ 0x50d7f5313476cd0el,0xa63d0e65b08d3949l,0x1a09eea953479fc6l,
0x82ae9891f499e742l },
0 },
/* 17 << 80 */
{ { 0xd7c89ba1e7d1cefdl,0xcb33553a9a91e03dl,0xa01caaff59f01e54l,
0x4a71c141de07def7l },
{ 0xe1616a4034d467d1l,0x6f395ab2e8ba8817l,0xf781ea64e45869abl,
0x8b9513bb7134f484l },
0 },
/* 19 << 80 */
{ { 0x0b0ec9035948c135l,0xaee219539a990127l,0x9d15ba0eb185dda1l,
0xd87bc2fb2c7d6802l },
{ 0x05a480307a82d7f8l,0x7b591ce4e7e11ec3l,0x14d4cc22a0e15fdbl,
0xf2d4213576def955l },
0 },
/* 21 << 80 */
{ { 0xd56d69e4117a5f59l,0xcae6008a01286e97l,0x716a0a282dab13b0l,
0xc821da99b3a8d2d0l },
{ 0x6898b66239c305e6l,0xe42d3394c8b61142l,0x54c1d2b253b16712l,
0x3cec3953a01f4be6l },
0 },
/* 23 << 80 */
{ { 0x5bd1e3036951b85el,0x1a73f1fb164d79a4l,0x6e77abd39fb22bc3l,
0x8ae4c181b3d18dfdl },
{ 0xdd4226f5a6a14ed1l,0x620e111feb4e1d92l,0xffce6e59edca4fe8l,
0x39f5fc053d0a717dl },
0 },
/* 25 << 80 */
{ { 0xef8fa78cd91aff44l,0x6f3f9749bdc03be7l,0x171545f8b8596075l,
0xbe31a73e2af132cel },
{ 0x5b4e174123884e1dl,0x4373357ea9fa75f0l,0x8dba2731bc06f49el,
0xa09aebc877fa6de8l },
0 },
/* 27 << 80 */
{ { 0xd4974e518293e18cl,0x1e4cfc5331ec0e8fl,0x80b4258325d40b1el,
0x5cfb73a2a85f7588l },
{ 0xe553efd204c0e00bl,0xdaa6750e9a48ac39l,0xf20936b00abda06al,
0xbfd3c7e4bf85771cl },
0 },
/* 28 << 80 */
{ { 0x72669c3c7292495cl,0xa627e2dd82786572l,0xbdbfce5cd39c3e3dl,
0xba6164927feed3d6l },
{ 0x4eb5f513e77b7318l,0x133f2e834337c2e0l,0xdea20f07f408bec6l,
0x848a8396e3c87655l },
0 },
/* 29 << 80 */
{ { 0x3086643551138f2bl,0x1176d8e6108a36bal,0xd78b3b400d4d4b66l,
0x99ddd9bd956dbff1l },
{ 0x91dfe72822f08e5fl,0x7fd8cfe6a081ac4el,0x8ebb278ed75285c2l,
0x2335fe00ef457ac0l },
0 },
/* 31 << 80 */
{ { 0xe9d79c50f058191al,0x6749c3b05d3183f8l,0x5edc2708dbfeb1ecl,
0x2c18f93621275986l },
{ 0x3a093e1f0703389fl,0xdf065e4a3ef60f44l,0x6860e4df87e7c458l,
0xdb22d96e8bfe4c7dl },
0 },
/* 33 << 80 */
{ { 0xb7193811b48dad42l,0x23b9dca320ad0f0cl,0x55511ffb54efb61bl,
0xac8ed94626f9ce42l },
{ 0xa42b4bc73fc4cbd9l,0x2a4670905c6f8e39l,0xb50040f87eb592del,
0x6633f81bdc2541f3l },
0 },
/* 34 << 80 */
{ { 0xc104e02ed2d6d9c2l,0xa4876e870302517al,0x0263c9b2912f5005l,
0x902f364a3d89d268l },
{ 0x76070565bb20a5a8l,0xa3a8977452109e98l,0x51fbffec463aa476l,
0xfa8519625daa1503l },
0 },
/* 35 << 80 */
{ { 0xe449dd8f82a9a4f3l,0xa1a2f405797e6b36l,0x76913537787785e8l,
0x0315a3cfe064481el },
{ 0xc02291ee83df11e2l,0x5b59a0e9bcd178f0l,0xd5e8d10ce6b4c63al,
0x9eee599f3fc60a82l },
0 },
/* 36 << 80 */
{ { 0x051e589759621468l,0xb92c06327293621el,0xee17ea647762e4f2l,
0x412107a771abd28cl },
{ 0xa083d87bf02d65ebl,0xbd4a3f165594395el,0x1d5694337c8882f3l,
0xc5eb10c55f9c63cfl },
0 },
/* 37 << 80 */
{ { 0x4b196728c8e62c4el,0x03dbd04cb74a757cl,0xe960a65b8520f044l,
0x9eda0f33f7937337l },
{ 0x06ff0b86b6dc7dfbl,0x3bd276c11fc1ac35l,0x0e67055b1b255c27l,
0xe43ae552eff899f8l },
0 },
/* 39 << 80 */
{ { 0xc64c914d3b156d76l,0x784c1f61d794345dl,0xcda0c77c365d7a50l,
0xcc5a1e205b32dbd0l },
{ 0x2f4e78bff90b6ac0l,0xbead62f9a2d4862dl,0xa8f67e7dcc346b53l,
0xa38d7ae947e59dbdl },
0 },
/* 40 << 80 */
{ { 0x7dc1605d480aca4dl,0x08c37750ef263aabl,0xd5c6b7c93f166725l,
0xf99982f30ff2853bl },
{ 0xc61b9583a8ecb64al,0x041211a91b771741l,0x50ba64154e156f97l,
0xb6595ea871b8954el },
0 },
/* 41 << 80 */
{ { 0x4ae760845eb3b4eel,0xcafefdc6c62ed274l,0x4eabeacf113f790bl,
0x10c2cc88a5ff64c9l },
{ 0xe7b59f8a49965d80l,0xd04884b50df07712l,0x6316ac5ba5f7bab1l,
0x388111d99e78a075l },
0 },
/* 43 << 80 */
{ { 0x8d437128f24804efl,0x12a687dd7b71dd53l,0x8b8f71d96139a60el,
0xb047fed42a095ec7l },
{ 0xef238041fba59ee8l,0x61b17fac64045514l,0x45b1cf4857afa184l,
0x8592c50a4bff5fc5l },
0 },
/* 44 << 80 */
{ { 0x2830592394b745dcl,0x53e9ec16b09cb993l,0x59d0b57f9a134ed1l,
0x89d7b439c56ee0ebl },
{ 0xc3656539991e22a2l,0xd27a89372a345043l,0x55dd5341064038eel,
0xc9ee3f0348cb42efl },
0 },
/* 45 << 80 */
{ { 0x08518c631d56c1cbl,0x5650f79f31235521l,0x33fc08d648911017l,
0xbb8b58538a0a33c8l },
{ 0xb54554f2f869a62al,0x67f8cf48222457e5l,0x46e13911f276cc0dl,
0x4b3a2ad6943b389el },
0 },
/* 46 << 80 */
{ { 0x0e72b816b11a4c9dl,0x919b2738e9028fa4l,0xab80e1117698a5d6l,
0xcd7950f56cd49adal },
{ 0x0db75c908dfb13a5l,0x2178578770f12cebl,0xfab72d5243486ff6l,
0x66d55d726a0673ebl },
0 },
/* 47 << 80 */
{ { 0xe98014b922667519l,0x7fcab2b3a95da9c0l,0x9bdbccd8438d5060l,
0xa72fff5455a726b6l },
{ 0x7ae032943a5e769bl,0xf7291e9b559a0734l,0x18ae4f182ce18eeel,
0x88e49f7328b7b4f0l },
0 },
/* 48 << 80 */
{ { 0x90fe7a1d214aeb18l,0x1506af3c741432f7l,0xbb5565f9e591a0c4l,
0x10d41a77b44f1bc3l },
{ 0xa09d65e4a84bde96l,0x42f060d8f20a6a1cl,0x652a3bfdf27f9ce7l,
0xb6bdb65c3b3d739fl },
0 },
/* 49 << 80 */
{ { 0xc6a2923e60ef9d87l,0xac66cdd8c3a64f1cl,0x069292d26e0bb0ccl,
0x9e491414451e52a0l },
{ 0x2e76cedf0e0d35b3l,0x311b7ae9af682b84l,0xaa1017a02f90b176l,
0xac0b43a794feb6e8l },
0 },
/* 51 << 80 */
{ { 0x7ddb42f9214e82f5l,0x91c88566f67269d7l,0x1763ed8cdd0ff422l,
0x045dd690ad284ddfl },
{ 0x5713bbb141e48fe7l,0xdc5bef28f8eb580fl,0x4bd0b288ed2992c2l,
0x436587faaf5ef2b3l },
0 },
/* 52 << 80 */
{ { 0xbbc1a48d6e5822c4l,0x16c3135daacebd02l,0xd0c6c543b56157dfl,
0xae249a0ef49f44a1l },
{ 0x1f2c23ce72c47341l,0x8f52dc2a25974313l,0x2c99bc0a958e0e6bl,
0xe57eab6b950cd492l },
0 },
/* 53 << 80 */
{ { 0xea66db638934efc0l,0x7bfe479193c6f7c7l,0x78438d535ef90d99l,
0xe63b87c9c665736dl },
{ 0x6de32d82db49e1bbl,0xbfa877dcd0ad1648l,0xdb2e85de1197806dl,
0x74e9dbd3cfee7854l },
0 },
/* 55 << 80 */
{ { 0xd2c26e2edb6d7e0al,0x9103119a531009cdl,0xb5dc49869a8b9d54l,
0x4781b83bb408b427l },
{ 0x70d98b2ccb4ba2f7l,0x112ed5d7fa8a36b8l,0x97257bc6fdde1675l,
0xd2a9c711db211cb7l },
0 },
/* 57 << 80 */
{ { 0xe4aa6a06ee79fe8cl,0x06e210233dff8a54l,0x63e11ac5bf50731al,
0xb8b9944f544125b8l },
{ 0xcba92c41d359aeb0l,0xd201c893249bca36l,0xfe79bd77cb501216l,
0x694b21488d525ba4l },
0 },
/* 59 << 80 */
{ { 0x60c90e11ee3dde2al,0x7df08e17bb36c4a2l,0xb6c3210dcc5b3c17l,
0xa814180955cec91cl },
{ 0xf4ecbc05a8193dffl,0xf43cdef8da5744fal,0x4895a6c6f12f8a2el,
0x44282692eb7b910al },
0 },
/* 60 << 80 */
{ { 0x1a405e1886d6e13al,0x6a18c91827a7c67cl,0xc34877ebe127bfd7l,
0x3c9fab08c098e692l },
{ 0xfe2dc65bc2066586l,0xb107603a8f68a0a9l,0x74ef0ef8127cd340l,
0xfe577b5b86788d87l },
0 },
/* 61 << 80 */
{ { 0xdc7ff83c71234c81l,0xee48d9c6d868c82fl,0xb80bac5e37e4f365l,
0x2bfbe94efcb951c2l },
{ 0x55829049a374d0b0l,0x2a502cada87a5fb4l,0x0742ac9d9ee840bal,
0x7689bf53eecd05b1l },
0 },
/* 63 << 80 */
{ { 0x0e7f459320059c22l,0x47c273e0e49368a2l,0x5ccb960ac6946ee2l,
0xd8209ec48b3271b6l },
{ 0x7fd5142cdfb9e947l,0x46a89c83ff737ab1l,0xa45f6b0282d875ecl,
0x19a16e0e34c296d6l },
0 },
/* 64 << 80 */
{ { 0xeb5ddcb6ec7fae9fl,0x995f2714efb66e5al,0xdee95d8e69445d52l,
0x1b6c2d4609e27620l },
{ 0x32621c318129d716l,0xb03909f10958c1aal,0x8c468ef91af4af63l,
0x162c429ffba5cdf6l },
0 },
/* 65 << 80 */
{ { 0x65c93be33607927bl,0x86feaaecdae5411dl,0x4a1686c6dd2e2c3dl,
0xf78200068acdf51dl },
{ 0xf82c4d0239ed3e50l,0x5ac04047b4c3a4a4l,0xbdd14d7ec34b07a7l,
0x9911d7027cc12db5l },
0 },
/* 71 << 80 */
{ { 0x4ed5dbbd1751abc9l,0xaf374229a23cc54al,0x9b5fa66ea4ed3f9al,
0xc56dd9613d380643l },
{ 0x7d77897144b38021l,0xdf4712d0d3584508l,0x0018e2eecd7ab168l,
0xc8a3a166293d29a7l },
0 },
/* 77 << 80 */
{ { 0x34681bdb3a5a0214l,0xe188d6f1f718797el,0xaa751de7db761c5fl,
0x347c50324959a5cel },
{ 0x108705fc338be49cl,0x1dc5eada95abf7a8l,0xb863808f0fc3f0b7l,
0x529c27c1a05c4d43l },
0 },
/* 83 << 80 */
{ { 0xa75f90677f699f79l,0xd01cf9c866356f99l,0xf90f9b73fdfbaae7l,
0xe0b5f4412c304d2fl },
{ 0x17cbfb11807f3f57l,0xe902d542af8a9eb4l,0x3335285461f89b4al,
0x3a51c54d3628c0ael },
0 },
/* 89 << 80 */
{ { 0xae5fd487c704212dl,0x82dd07a565e2e32cl,0x46d4c9646c19c199l,
0xe7f428593778eedcl },
{ 0x084a4e9b6dcc5ec9l,0x757e04ba2d0538b7l,0x4ec0a573a3fba4cdl,
0x2432a4e5c627c2fcl },
0 },
/* 95 << 80 */
{ { 0xfde00b3094c8a424l,0x20a57d8cd224c232l,0xd6ace1a170019992l,
0x1a648d40697e67a3l },
{ 0xed1fb10691338d84l,0x828004a08372bfc8l,0xb93030fefad3bfedl,
0x883dea23f27369ecl },
0 },
/* 101 << 80 */
{ { 0xfbbf36a62a710d73l,0x8db834024b3cc6bbl,0xa60c47cf16d7b1fcl,
0xf9778fa6cd16ce8fl },
{ 0xd77023086d14a1a6l,0x01f139cb06e8247cl,0xd89af2979770b9c1l,
0x94bf1ca97d9fb550l },
0 },
/* 107 << 80 */
{ { 0xe17e2e6dc2d45f34l,0x5969d8ee26efc6cbl,0x6f175231b9219cfbl,
0x027f333c189f1175l },
{ 0x5bc60fad54f6da49l,0xc52e09af8ae5c3f3l,0x6c0e3927ed07f46dl,
0xbfd9e598f39cf16bl },
0 },
/* 113 << 80 */
{ { 0x9dffd95b090aefb9l,0x26db7b73637224fel,0xb78a679e92e2aa0cl,
0xfc7c824ffc8f895dl },
{ 0xdc8287e8e636b3a8l,0x6b3ccc0f28b7a639l,0x38e6e2cc653de56al,
0x998cf6985392c3cal },
0 },
/* 116 << 80 */
{ { 0xe68de79e57f0d6fal,0xe707b252ff9c06f7l,0x5613698a4a061697l,
0xd83d6453b5390352l },
{ 0x59b007599867c708l,0xcfe24fd7b41ea7adl,0x4692abf3da5b7de6l,
0xd99a6f3bf0c54e8fl },
0 },
/* 119 << 80 */
{ { 0xe8ee870dea4addc3l,0x0d1fb29559841f3el,0xdc05b5581dba2f14l,
0xb8bf38324e3f4600l },
{ 0x1a909e66fd57c48al,0xb65ca4c24e2d76dfl,0x0b27755ae7c60d89l,
0x9fcfa75acb9003f6l },
0 },
/* 125 << 80 */
{ { 0xbbbdf4c49e5325aal,0x6879fe11d0d1f281l,0x7a400f890633002el,
0xc3633c779bb79ac9l },
{ 0x15a4cfae93ab9bc3l,0x379bbdea42594603l,0x7c61dfa257d2af3fl,
0x20190537b51bfb62l },
0 },
},
{
/* 0 << 88 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 88 */
{ { 0xa80d1db6f79588c0l,0xfa52fc69b55768ccl,0x0b4df1ae7f54438al,
0x0cadd1a7f9b46a4fl },
{ 0xb40ea6b31803dd6fl,0x488e4fa555eaae35l,0x9f047d55382e4e16l,
0xc9b5b7e02f6e0c98l },
0 },
/* 3 << 88 */
{ { 0x4b7d0e0683a7337bl,0x1e3416d4ffecf249l,0x24840eff66a2b71fl,
0xd0d9a50ab37cc26dl },
{ 0xe21981506fe28ef7l,0x3cc5ef1623324c7fl,0x220f3455769b5263l,
0xe2ade2f1a10bf475l },
0 },
/* 4 << 88 */
{ { 0x9894344f3a29467al,0xde81e949c51eba6dl,0xdaea066ba5e5c2f2l,
0x3fc8a61408c8c7b3l },
{ 0x7adff88f06d0de9fl,0xbbc11cf53b75ce0al,0x9fbb7accfbbc87d5l,
0xa1458e267badfde2l },
0 },
/* 5 << 88 */
{ { 0x03b6c8c7dacddb7dl,0x92ed50047e1edcadl,0xa0e46c2f54080633l,
0xcd37663d46dec1cel },
{ 0x396984c5f365b7ccl,0x294e3a2ae79bb95dl,0x9aa17d7727b1d3c1l,
0x3ffd3cfae49440f5l },
0 },
/* 7 << 88 */
{ { 0x26679d11399f9cf3l,0x78e7a48e1e3c4394l,0x08722dea0d98daf1l,
0x37e7ed5880030ea3l },
{ 0xf3731ad43c8aae72l,0x7878be95ac729695l,0x6a643affbbc28352l,
0xef8b801b78759b61l },
0 },
/* 9 << 88 */
{ { 0xdcdd3709b63afe75l,0xad9d7f0b3f1af8ffl,0xdd6a8045194f4beel,
0x867724cc2f7d998cl },
{ 0xd51d0aa5837751bel,0x21d6754a959a0658l,0xd2212611695f7e58l,
0xec4b93c2297363efl },
0 },
/* 10 << 88 */
{ { 0x0ac1c5fab6ef26cfl,0xcd8ba0c5a39de8eel,0x11ba7537dd7796e0l,
0x1215933476d58d6dl },
{ 0xf51eb76f529fda4cl,0x2fd9209ddedaa8a3l,0x555a675615efac65l,
0xb784c9ca7fd42fe9l },
0 },
/* 11 << 88 */
{ { 0x8165ec11b9d1a70fl,0x01347efc384f6cael,0xe95c01a0ab7aeca9l,
0x459ba1c5c6c99530l },
{ 0x38967a635cf3416bl,0x5c3761fd1e5457e2l,0x43e6077af03e9df6l,
0xb15d34628bd1c7f6l },
0 },
/* 13 << 88 */
{ { 0xad87d3db35a75c49l,0xc69d800961af03c5l,0x31aef61a3a6a6c4cl,
0xb3292640aa10a993l },
{ 0x959aae80aaee340fl,0xf900528e7f381a3bl,0x44ecf76e853691a3l,
0xa081663ce749e68el },
0 },
/* 15 << 88 */
{ { 0x4f2782136283e34al,0x6f9fcf60fbfa315fl,0x224a2ab99b701364l,
0xb4b1b418f9fecadcl },
{ 0xbf7280fe50ba1b9al,0x7e68259c33f36db9l,0x8ccb754e154c9fb0l,
0xf281adb1db2328f1l },
0 },
/* 16 << 88 */
{ { 0xf92dda31be24319al,0x03f7d28be095a8e7l,0xa52fe84098782185l,
0x276ddafe29c24dbcl },
{ 0x80cd54961d7a64ebl,0xe43608897f1dbe42l,0x2f81a8778438d2d5l,
0x7e4d52a885169036l },
0 },
/* 17 << 88 */
{ { 0xc2a950ad2d6608bel,0xab415e2a51c3c2b6l,0xffbd2a65f5c803e7l,
0x3f81dc3eca908532l },
{ 0x0ec47397c28c04f4l,0xf6c632e8153f58e8l,0xccac35f8efb4a6d8l,
0x22a1b677ee6d7407l },
0 },
/* 19 << 88 */
{ { 0x276662435243c119l,0x79cb8580e707363el,0x5bf5ebf4d01682d6l,
0x8a980173762811e0l },
{ 0xe2f2be1fc7547d77l,0x21a50fffb925fec6l,0x5e6cf2ef40115509l,
0xb69beae18faa0fc0l },
0 },
/* 21 << 88 */
{ { 0xfa147da8cec36e75l,0xba184e5a42860484l,0xe8ec25df222fb1e6l,
0xce91dcb18ff8403cl },
{ 0xf1b0e27ead7faa32l,0x097d881d42a3a205l,0xa8865dd43f8f56d4l,
0x624d7a451aef929dl },
0 },
/* 23 << 88 */
{ { 0x3db0238ad01698e8l,0xbb7186dc00306082l,0x542f4377250f830el,
0x34b8a67dae438c50l },
{ 0xada528a0858d8048l,0x561aa3336b57afc1l,0x8d9188e0fda35f7al,
0x5838d1211dcad0c5l },
0 },
/* 25 << 88 */
{ { 0x4f97d1529f17511dl,0x8b9f012776fdb9ebl,0x53a0a72d4056e6a7l,
0x5ff937d64e262eeel },
{ 0xaa64a8dc489fbe6dl,0xc19947dfea02bc69l,0x76f0bbb91492c9bel,
0xe53881098d89cd01l },
0 },
/* 27 << 88 */
{ { 0x16083309456057b7l,0x2810c08040a331f6l,0x0561656c3c166929l,
0x16f0d8d6ed1c3999l },
{ 0x37b6da7294697927l,0xd821c2cc23ca6c9cl,0x42ef1bdb8ca4351cl,
0x7ca32bad5edfa682l },
0 },
/* 28 << 88 */
{ { 0xdc1de17d98119f10l,0x74353c5d488c36a6l,0x14aaf33a3d8e23dfl,
0x31e075c078baf593l },
{ 0x0f7ca03a46d1ca3cl,0x99c5e3ac47b660c7l,0x70d0241388fe2e59l,
0x2e9a6be12a7ec005l },
0 },
/* 29 << 88 */
{ { 0x4d1f087f184252b1l,0xfd3ace273f5b49c6l,0x6e874447bbb04da2l,
0x2347e3a1b3767ff0l },
{ 0x990d4010f868966al,0x35320090dd658b5el,0x1105bfb974fe972al,
0x3961f7dc8e7ad2c6l },
0 },
/* 31 << 88 */
{ { 0x100d8b54741e3286l,0x65d9108ef3abc7afl,0x172b450620ef8fbcl,
0x11bd7db2d81b8a2el },
{ 0xf89210e1e8e41de5l,0x910613f3d98a868bl,0xbfc85241849aa909l,
0x68a43e21c7d3a7cal },
0 },
/* 33 << 88 */
{ { 0x68f891479a4f8293l,0x48262328a5eb9101l,0x7eca2a178fe218b5l,
0xde6c22dbc733f768l },
{ 0xde7171d108d6084dl,0xd153827a0f0f8092l,0xc7b52d8f85a9252fl,
0xfa29ca3a5708b31fl },
0 },
/* 34 << 88 */
{ { 0x20518ddf9e0ad7e7l,0x33d5d079e8d28b9bl,0x1149b393d13058b0l,
0x708cc65586d4651dl },
{ 0xd7fefaa694207435l,0xce882c0d96312f8fl,0x2fd5cb2059d091a7l,
0x4533a88a0e1ece94l },
0 },
/* 35 << 88 */
{ { 0xceddd9b5a59c28bcl,0xaa4808f9572e2a5dl,0x38bc191999014a1el,
0x1aacefdaa6d85686l },
{ 0xa59283d42a573fddl,0x84359db29c387594l,0x79994773dca3acc8l,
0xe4323e7654cf7653l },
0 },
/* 36 << 88 */
{ { 0xac449695241fbd6fl,0x67c9b170081c1223l,0x16868f21b56aac6fl,
0x34bd8fa3f8bcb721l },
{ 0x06b6bd33b6691c76l,0x6c924766381a7973l,0x6a12444ca54078dbl,
0xd02e91a96d1051ccl },
0 },
/* 37 << 88 */
{ { 0x512f5fb35f30b344l,0xb13ade169d516885l,0x18812e9b2b468802l,
0xf15d730e6b28979al },
{ 0x5015616f6889348bl,0xe0b02a0a96af0401l,0x3b02007b61204c89l,
0x9ece2aa7432742a4l },
0 },
/* 39 << 88 */
{ { 0xd5f7e09c7c1cc4a1l,0x313ac04218b2d854l,0xbc4fe2a04c253b10l,
0x25a696a3c7080b5cl },
{ 0x6de3cb6aef811877l,0x4d242fecd15f9644l,0xb9bfa2480ee6a136l,
0x8122679e9c8d181el },
0 },
/* 40 << 88 */
{ { 0x37e5684744ddfa35l,0x9ccfc5c5dab3f747l,0x9ac1df3f1ee96cf4l,
0x0c0571a13b480b8fl },
{ 0x2fbeb3d54b3a7b3cl,0x35c036695dcdbb99l,0x52a0f5dcb2415b3al,
0xd57759b44413ed9al },
0 },
/* 41 << 88 */
{ { 0xc2c7daec96a8d727l,0x8a11631a17f3abf9l,0x06aba65c0ae8940al,
0xfca280c7873d3635l },
{ 0x57496889ddb72b87l,0xaa9a3359320793d4l,0x11b6864d43120741l,
0x1877cd4e51527639l },
0 },
/* 43 << 88 */
{ { 0x8b35ce4e6f43dfc6l,0x4114b2fe9a19f3bfl,0x8c4af8024ffa45cal,
0xa3ab5f869328b847l },
{ 0x0986de3e555f30f0l,0xaae6e3eac8cb84c4l,0x2a7dcdbaa4ba01f7l,
0xfa32efa729f5dc6cl },
0 },
/* 44 << 88 */
{ { 0x077379c00b33d3f8l,0x421883c67064e409l,0x2d0873d76c29c8f6l,
0xbfa433a3d274c0c8l },
{ 0x56dc778f23a5891el,0xd663bf6535e2de04l,0x488fdb485db517cel,
0x00bba55e19b226c2l },
0 },
/* 45 << 88 */
{ { 0x879b30ead7260d78l,0x04954ba2eac5201fl,0x3210c0e3ff2529d1l,
0x0743823488b470b3l },
{ 0x8b618de48854cc0dl,0x98270d5e35b795eel,0x0e47d651aa33ca37l,
0x77d75fda1e87d0cfl },
0 },
/* 46 << 88 */
{ { 0x789dbe987803fbf9l,0x940589aa17ede316l,0x032902bd85a1988cl,
0x43cbc0031c47f7f0l },
{ 0xc6ff73714709148fl,0x769957122d9b8a5el,0xb4520e462597b70el,
0x00d19f39f67ff3b8l },
0 },
/* 47 << 88 */
{ { 0xe2dfcef9b159f403l,0xe8e9e8d8855644afl,0x2796247163fa1068l,
0x400e992a968a5400l },
{ 0xe2b9d29f56e563c1l,0xed66759c2885fabfl,0x788b6263750abdffl,
0x30adb00d6cbbdcacl },
0 },
/* 48 << 88 */
{ { 0x1fe647d83d30a2c5l,0x0857f77ef78a81dcl,0x11d5a334131a4a9bl,
0xc0a94af929d393f5l },
{ 0xbc3a5c0bdaa6ec1al,0xba9fe49388d2d7edl,0xbb4335b4bb614797l,
0x991c4d6872f83533l },
0 },
/* 49 << 88 */
{ { 0x5548d3423fa17b28l,0x38587952823ee731l,0x8ee9b90a0a28bcd1l,
0xcfc029bf6676917el },
{ 0x7e08306d2a212358l,0x66a9488dc88a66bcl,0x7a09db327d7c9e65l,
0x20eaf4e72cbc1790l },
0 },
/* 51 << 88 */
{ { 0xb3095b491f2a9605l,0x7cfc4205f72691c7l,0x1544bf964d889b90l,
0xdc44d20ba0bbae7al },
{ 0xee369b670b1f0b23l,0xf3ec25e818a7bdcbl,0xf614ab5df47ecf65l,
0x4869762f80a4a09dl },
0 },
/* 52 << 88 */
{ { 0xedbbeee78a058fb6l,0xb9d19ddcfb09121al,0xa41bb45bd34dddcel,
0x2dbc80b900964bc4l },
{ 0x4ed9137d1d6cb654l,0x1b9016db483d01c5l,0x5fc501bc6528e22el,
0xb2d2f8816cad646bl },
0 },
/* 53 << 88 */
{ { 0xb57aa72a89043e56l,0x8fbca2435c5319fdl,0xe66aef43b13ce900l,
0x2c7c3927c3382934l },
{ 0x434d9104a835fdf5l,0x419470b81b3b85bel,0xeaec374abeb4d448l,
0x26a53b51f33cda51l },
0 },
/* 55 << 88 */
{ { 0x421f1725bb1db793l,0x20214d4f558c94a9l,0x3371233b7696092cl,
0x774d3fcb1902ab0el },
{ 0x4ce223ded149aecel,0x174b260e33057bc7l,0xdf70cfa3f6effee4l,
0x3d8cd01f80880678l },
0 },
/* 57 << 88 */
{ { 0x32db21862e59985cl,0x448865abaa1b39e1l,0x250ce79cd89fe98dl,
0x962710e763e3fb10l },
{ 0xa8fc70561ac10e3el,0x9eed208fa3b132fbl,0xf499d638937051f5l,
0x27acf7ec21a9f78fl },
0 },
/* 59 << 88 */
{ { 0x148e572a4c7b445el,0xdc10a0214dc95a4fl,0xe60e9c2e02237869l,
0xbfdfcb3aa393c3a4l },
{ 0x8b799db211a64cf0l,0x1ca865ea2e16f59fl,0x865441fbd3a17e46l,
0x23315b9753409692l },
0 },
/* 60 << 88 */
{ { 0x5e76fb2f286bad39l,0xbad9efe39dcad1e2l,0x60e75190edc7e904l,
0x6a6f063e0fecb5a5l },
{ 0x5150ed85aed8acc3l,0xb56ccfbc6d20af6cl,0x7e0d1e982c69dbfal,
0xabf5628a7c7e10a9l },
0 },
/* 61 << 88 */
{ { 0xb84af2c00df6d61fl,0x02c651c52acbaf4bl,0xfb605754afaaa0bfl,
0xa03f5257dff61017l },
{ 0x9e3ffb1672762093l,0x4f9a5da0c4f40bd3l,0x37dce5220d26f8e1l,
0x260f736fc06a1a07l },
0 },
/* 63 << 88 */
{ { 0xb92aba79b1077d55l,0xc52f81081a42f5f5l,0x9913f04f86e5aa99l,
0x6814b0b1f3c7f504l },
{ 0xb7d61fd34d354bdal,0xf27926e39581d25el,0x97724001c2dc21adl,
0x835778231d5c4788l },
0 },
/* 64 << 88 */
{ { 0x77b868cee978a1d3l,0xe3a68b337ab92d04l,0x5102979487a5b862l,
0x5f0606c33a61d41dl },
{ 0x2814be276f9326f1l,0x2f521c14c6fe3c2el,0x17464d7dacdf7351l,
0x10f5f9d3777f7e44l },
0 },
/* 65 << 88 */
{ { 0x53857462ff9727a2l,0xe6870e7dc68488e7l,0x276da72808c79656l,
0x1308eb61d86c24ebl },
{ 0x34c43a84db0a3e56l,0x03961b5525335a59l,0xf9bc2d5805689d86l,
0xfa4d3c01eb29d6d6l },
0 },
/* 71 << 88 */
{ { 0xd07dac3037d10ffal,0xb2b0a0fd8bef0a79l,0xa2e804510ec02505l,
0xf256c18962f55f5fl },
{ 0x0ca3f9b10b39f4f0l,0x7bf4e1cf3bb7c8e9l,0x7a8a43f8ee11f227l,
0x2ad8431a3e4056ebl },
0 },
/* 77 << 88 */
{ { 0xb8cf71ed031c1871l,0x702431806f703102l,0x9a87e1c24ec6f1b0l,
0xf7e6e5b4664f275dl },
{ 0xc70a8b4e8c76b505l,0x6ba69bf2a002e9cfl,0x33ed74f7a0d8c9bfl,
0x17f5f4b18d9989del },
0 },
/* 83 << 88 */
{ { 0xcd116dcb1b13a4a1l,0x591adb831c369877l,0x697be1aca6b8e80bl,
0xb2d4baa1b975d781l },
{ 0xd4a9a496b16b48e7l,0x64de2d7af293997dl,0x039ae039af09a492l,
0x66e31a2665f3a485l },
0 },
/* 89 << 88 */
{ { 0x110a8a42fec01a53l,0x1f5fcc1b38affab8l,0x757310ca9941a19el,
0x11ef95f76c29d6cbl },
{ 0x0756bdb22dd427bal,0x8de8d44af3e16c33l,0xf9d28355e25aec52l,
0xeb761efc02f36465l },
0 },
/* 95 << 88 */
{ { 0xfc83bf7454bfcd7al,0x51d861794837b6bel,0x8165b3f9801a324dl,
0x3a5972bc634cfd61l },
{ 0xeecfe6d825258ed6l,0x51d968df1451ced0l,0x3010cdb8316aa0ael,
0xc295b8522900eaf2l },
0 },
/* 101 << 88 */
{ { 0x5ad434a3890cc798l,0x4c17ff5e1531bce4l,0x825b5b5a5ea8e26fl,
0xacca9d5dd66fd7b3l },
{ 0xb647dbde37ae6f92l,0xa5594868f3600416l,0x7b90ac53ab0c5d63l,
0x4b66ad7ceb43e1d0l },
0 },
/* 107 << 88 */
{ { 0x04a211fac09ccbffl,0x9c96ad9ee873d898l,0x9eb1deb69c481f86l,
0xb3616ce8b2d70298l },
{ 0x67a6fe9b9073726dl,0x5b8aa37d4c9bf744l,0xf558603ebb6aa0efl,
0x72767f5103d304fbl },
0 },
/* 113 << 88 */
{ { 0x787cb8b8d6e9b7e3l,0x8bb30222e079fc68l,0x651a2ea6e3145a0bl,
0x0254c5da9ab18fa8l },
{ 0x83722ffc12e1611fl,0xb0ddf1ffa7cc61bel,0x7c9c7e10ac0ac8d7l,
0x8241a8191da12218l },
0 },
/* 116 << 88 */
{ { 0x70bb7719bc407e6el,0x231328efd84ceb41l,0x8bca6a1fc104bb20l,
0xd6f4e425280b9071l },
{ 0xb41b95a292896a82l,0x735cf435fa34df67l,0xbc331a08d9d6d769l,
0x579786052682747el },
0 },
/* 119 << 88 */
{ { 0x048ba499eb3af9a9l,0x43a8c367d50b82cel,0xedf9e2b21e0724d9l,
0x3098aab3d607140bl },
{ 0xd1f18f1e5ed49eb9l,0xf9c6bb6ae0bb02a2l,0x204f96aa0cd245ddl,
0xdaadaf4afb011ed5l },
0 },
/* 125 << 88 */
{ { 0xb298ce2de50404b1l,0x04dd38c45bf9b581l,0x229deabdfada51e8l,
0x74bd233f8788a132l },
{ 0x951ba5ecf03e6c30l,0x9da2f5aa45bf1a41l,0x6bec7fea7e52b860l,
0x76e3778964b0a9ddl },
0 },
},
{
/* 0 << 96 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 96 */
{ { 0x4fe7ee31b0e63d34l,0xf4600572a9e54fabl,0xc0493334d5e7b5a4l,
0x8589fb9206d54831l },
{ 0xaa70f5cc6583553al,0x0879094ae25649e5l,0xcc90450710044652l,
0xebb0696d02541c4fl },
0 },
/* 3 << 96 */
{ { 0xb99f0e0399375235l,0x7614c847b9917970l,0xfec93ce9524ec067l,
0xe40e7bf89b122520l },
{ 0xb5670631ee4c4774l,0x6f03847a3b04914cl,0xc96e9429dc9dd226l,
0x43489b6c8c57c1f8l },
0 },
/* 4 << 96 */
{ { 0x0e299d23fe67ba66l,0x9145076093cf2f34l,0xf45b5ea997fcf913l,
0x5be008438bd7dddal },
{ 0x358c3e05d53ff04dl,0xbf7ccdc35de91ef7l,0xad684dbfb69ec1a0l,
0x367e7cf2801fd997l },
0 },
/* 5 << 96 */
{ { 0x46ffd227cc2338fbl,0x89ff6fa990e26153l,0xbe570779331a0076l,
0x43d241c506e1f3afl },
{ 0xfdcdb97dde9b62a3l,0x6a06e984a0ae30eal,0xc9bf16804fbddf7dl,
0x170471a2d36163c4l },
0 },
/* 7 << 96 */
{ { 0x361619e455950cc3l,0xc71d665c56b66bb8l,0xea034b34afac6d84l,
0xa987f832e5e4c7e3l },
{ 0xa07427727a79a6a7l,0x56e5d017e26d6c23l,0x7e50b97638167e10l,
0xaa6c81efe88aa84el },
0 },
/* 9 << 96 */
{ { 0x473959d74d325bbfl,0x2a61beec8d6114b9l,0x25672a94924be2eel,
0xa48595dbf2c23d0cl },
{ 0xe476848b6a221838l,0xe743e69a35c1b673l,0x2ab42499d8468503l,
0x62aa0054e9e90ba7l },
0 },
/* 10 << 96 */
{ { 0x358d13f1bc482911l,0x685d1971b7fa7f26l,0x3e67a51d2be1aee4l,
0xe041850998d114a9l },
{ 0x59639f604e052561l,0x32075c49155d0818l,0x2aa2343b67b64b1cl,
0x1b445e2967f53e6al },
0 },
/* 11 << 96 */
{ { 0xbdfb271773a904e0l,0x7ce1e40b28888d73l,0x2e7e35f6eaa97d1bl,
0xd061772aa9afa097l },
{ 0x434ac7c47a1f7c59l,0x6e21124ae79b7b9al,0x055acff3bb22ecc7l,
0x8bfd7ac984c858d3l },
0 },
/* 13 << 96 */
{ { 0x2fd57df59f1f68adl,0x5ddcc6dbb06470c8l,0x801b6451a9b47307l,
0x6b51c8e376551bf4l },
{ 0xef0bd1f7d44e1da9l,0x714bcb1d4d4e600cl,0xc57bb9e40c6540c7l,
0x71bd1ec2327cc644l },
0 },
/* 15 << 96 */
{ { 0x9a52cf7e7f4dd81fl,0xa0132be15e69c05el,0x90dab7472a0f4d72l,
0xc142f911312d6706l },
{ 0xe8d3631f8261998bl,0xf0f42fae615c1c94l,0x2f4e948caec3fa5dl,
0x242ae7a8a374101el },
0 },
/* 16 << 96 */
{ { 0x0f893a5dc8de610bl,0xe8c515fb67e223cel,0x7774bfa64ead6dc5l,
0x89d20f95925c728fl },
{ 0x7a1e0966098583cel,0xa2eedb9493f2a7d7l,0x1b2820974c304d4al,
0x0842e3dac077282dl },
0 },
/* 17 << 96 */
{ { 0x1fa878cad088be52l,0x89c2cb07a9e1e656l,0x385bc5c3219d62dbl,
0xd82b676b5fda2752l },
{ 0x2449dc9ee304eafcl,0x1e9e7991632f4ea2l,0x3036e061cdd5e0b9l,
0x75a6f6ff830825bcl },
0 },
/* 19 << 96 */
{ { 0xb10fcddc449dedb4l,0x2c890042d1244acfl,0x9b3072cac7fc7017l,
0x1acda6859ce8063fl },
{ 0xd243313c7f51e2f5l,0x52a3f1a4d73d9578l,0xda785b7a64f0ce6el,
0x2e766315442a4c2dl },
0 },
/* 21 << 96 */
{ { 0x94f9b004151f111al,0xc7a5035b07dbc5fal,0x53958ea7609e49d7l,
0x0526b4d79013f4c0l },
{ 0x66de5ebb593e2fbdl,0x6e7cf8b44c2e0c37l,0x6f72fc8b8c983e78l,
0x6fab9b632348f9d7l },
0 },
/* 23 << 96 */
{ { 0xc748a3526a3d8468l,0x3fab479927e38032l,0x91ad3629fa430ce7l,
0xc5af0b2c71614c44l },
{ 0xcede3fa50c211611l,0x6e6889ba02338083l,0xee0a195977f0fe32l,
0x01ea905d0f4bbc5al },
0 },
/* 25 << 96 */
{ { 0x12cfb25e8193db48l,0xddb4ae633bea708cl,0xdaae102ef181f821l,
0x9d9d923024a089d9l },
{ 0x71c4122da0876aeal,0x1a63ea3bbbe19c09l,0x3b898076016f8d0cl,
0xa5cccc5daea6b713l },
0 },
/* 27 << 96 */
{ { 0xc3f22baf4a8e2f61l,0x77d29ede176da6a6l,0x40a55f211607da63l,
0x858b38561452e391l },
{ 0x0dd3c267fe1b3c56l,0x66c04bdd7d55227al,0xfbd2fe55e6404e09l,
0x5981cf49ea9cfcbcl },
0 },
/* 28 << 96 */
{ { 0xe549237f78890732l,0xc443bef953fcb4d9l,0x9884d8a6eb3480d6l,
0x8a35b6a13048b186l },
{ 0xb4e4471665e9a90al,0x45bf380d653006c0l,0x8f3f820d4fe9ae3bl,
0x244a35a0979a3b71l },
0 },
/* 29 << 96 */
{ { 0xae46a902aea870afl,0xa9b9fcf57cbedc99l,0x74f2ca3f79b7e793l,
0xadb8f2231dbeeb28l },
{ 0x6302060e6764df85l,0x363320d257ebd554l,0xd9fd573e798d22e1l,
0x285f85f5ebb67dedl },
0 },
/* 31 << 96 */
{ { 0xd86b329211caa2b5l,0x2a26258e39337bd1l,0x4dc5a9b579c8c291l,
0x16443d87741942e6l },
{ 0x6bc9a2f8f811400cl,0x819c69359eeb4e0el,0xe1be7273ce0c214bl,
0x429afb8184b61581l },
0 },
/* 33 << 96 */
{ { 0xb37e188756af5812l,0xd662bdb485aff83el,0xc89742d07bc63de7l,
0xea103f9d0279f487l },
{ 0x4d26916a3a6cc639l,0x4eea3a3c7c743b94l,0x6a3e0dc7007376d9l,
0xdb6ef3cf573f904el },
0 },
/* 34 << 96 */
{ { 0x9b1058ecb0b0fb53l,0x8955f5f75f8a9a9fl,0xf5f92e7f9f6f9e6dl,
0x03f5df6c50ec198bl },
{ 0x6c8741f2b8aedbcel,0x8f4e60cfed8018f7l,0x6ca5297c9fa01f89l,
0x8591cf7a864995dbl },
0 },
/* 35 << 96 */
{ { 0xa126147eb0a11b9bl,0xeedcc9e198900232l,0x15d94f8c2bead119l,
0x042423cfefc38691l },
{ 0x6ce86fbe77165d91l,0xa07732126b3fd565l,0x8cdc409150b1f9c7l,
0x7f5ad1af064595acl },
0 },
/* 36 << 96 */
{ { 0xed374a6658926dddl,0x138b2d49908015b8l,0x886c6579de1f7ab8l,
0x888b9aa0c3020b7al },
{ 0xd3ec034e3a96e355l,0xba65b0b8f30fbe9al,0x064c8e50ff21367al,
0x1f508ea40b04b46el },
0 },
/* 37 << 96 */
{ { 0x73644c158f8402a0l,0x0d9b5354f4730eb9l,0x78542af4e94cc278l,
0xf4dbede3e395f33al },
{ 0x8fe8cbc590c70b00l,0x9c35bb2d7db197f6l,0x229b4973e6599746l,
0x0817d04e1a84b986l },
0 },
/* 39 << 96 */
{ { 0x8ffe34e95ecd09b3l,0x6a7c3de4153b7cael,0xf02713e4a81044b7l,
0x85ca6158c70545c8l },
{ 0xd3ff392845d88bffl,0x3a251a07f0bafe89l,0x61290e1287cea7f4l,
0xa360a17efa4808adl },
0 },
/* 40 << 96 */
{ { 0x98561a49747c866cl,0xbbb1e5fe0518a062l,0x20ff4e8becdc3608l,
0x7f55cded20184027l },
{ 0x8d73ec95f38c85f0l,0x5b589fdf8bc3b8c3l,0xbe95dd980f12b66fl,
0xf5bd1a090e338e01l },
0 },
/* 41 << 96 */
{ { 0x2d1751083edf4e2bl,0x30e6e90fa29c10d0l,0xfee1eb14c9c6ccd2l,
0x244670c756a81453l },
{ 0x90b33eefc5185c22l,0xd77ae4b63db82d28l,0xce5ee034f228f940l,
0x5d7660847bb47be5l },
0 },
/* 43 << 96 */
{ { 0x88b7eec499b9a8c6l,0x56048d9e14e8ef0cl,0xa18f93215c89cf78l,
0xbd2087616d327e66l },
{ 0x5b187225d9e53e27l,0xa57ca6c7bf4d0317l,0x187731d2e9557736l,
0xd4ce2f78a874982el },
0 },
/* 44 << 96 */
{ { 0x65163ae55e915918l,0x6158d6d986f8a46bl,0x8466b538eeebf99cl,
0xca8761f6bca477efl },
{ 0xaf3449c29ebbc601l,0xef3b0f41e0c3ae2fl,0xaa6c577d5de63752l,
0xe916660164682a51l },
0 },
/* 45 << 96 */
{ { 0xf5b602bb29f47deal,0x42853c9659ddd679l,0x5c25be4041d7c001l,
0x8e069399d4a3b307l },
{ 0x1782152e736ce467l,0x2e264109c9cb4f08l,0xf900cb11ab124698l,
0x1bbed1d02d6e05b1l },
0 },
/* 46 << 96 */
{ { 0x9cc3fedc7da08b1fl,0x0f44949361d5ed38l,0xc8cbc4209b991b6bl,
0xee62a342891c42e1l },
{ 0x11c496bb1a179139l,0x94ece2892eac4d8el,0x35f303a5a98d5570l,
0x69d4340514a31552l },
0 },
/* 47 << 96 */
{ { 0x29d45e50892dfcbal,0x653e613e5c30cee3l,0x7b8c1ae61868a348l,
0x40ab51654f2c612al },
{ 0x56e977f9891cdc8cl,0xee1ca12a34ca7cd1l,0xa4e283ee17b5ddf8l,
0x4e36f2fb6f536205l },
0 },
/* 48 << 96 */
{ { 0x5a3097befc15aa1el,0x40d12548b54b0745l,0x5bad4706519a5f12l,
0xed03f717a439dee6l },
{ 0x0794bb6c4a02c499l,0xf725083dcffe71d2l,0x2cad75190f3adcafl,
0x7f68ea1c43729310l },
0 },
/* 49 << 96 */
{ { 0xa3834d85e89ea13fl,0x2ca00f942db803bbl,0x0f378681400ed3dal,
0x1028af6b54854da3l },
{ 0x3928c2da06400c7fl,0x21119785d82aac92l,0x06618c17724e4af0l,
0x22b42b161470736bl },
0 },
/* 51 << 96 */
{ { 0x7d0cfd48f7f2ac65l,0x46e1ac705f641b60l,0x0ab9566a0fcf0137l,
0xbd4380e0db460fb8l },
{ 0x4550efbf6db99b55l,0x33846e669764b744l,0xacffa0cae34ca007l,
0xce642d6a077e646cl },
0 },
/* 52 << 96 */
{ { 0xe747c8c7b7ffd977l,0xec104c3580761a22l,0x8395ebaf5a3ffb83l,
0xfb3261f4e4b63db7l },
{ 0x53544960d883e544l,0x13520d708cc2eeb8l,0x08f6337bd3d65f99l,
0x83997db2781cf95bl },
0 },
/* 53 << 96 */
{ { 0xd89112c47d8037a3l,0xcba48ad3464c2025l,0x3afea8399814a09dl,
0x69e52260269030b5l },
{ 0x5b7067365c674805l,0x8c3fd33d87343f56l,0xc572c858b1c61edfl,
0x43d8f4ded06749cbl },
0 },
/* 55 << 96 */
{ { 0x04da1f06b4066003l,0xf7d4e52f372749e8l,0x56cd667114b38747l,
0x1943a22a22eb6d9el },
{ 0xc2c5391990714b0al,0xb6e3abb7d13cf3ael,0xfcd8d671676115cbl,
0x178ce1a0c06a0d3al },
0 },
/* 57 << 96 */
{ { 0x94485b36913508f8l,0x92f87fe36de83b42l,0xedd476f0ed77e666l,
0xee90fbc68da2cf53l },
{ 0x6f4afc53fc6cf3d9l,0x231bceb9f21f6ecfl,0x6504a11d494c6e9cl,
0xd3728f032c211461l },
0 },
/* 59 << 96 */
{ { 0x09a9b93799562ca2l,0xb7d5c5cf6a5a5aa8l,0x52f5d7b9987b219dl,
0x33849f9ec38014d4l },
{ 0x299adaf628f23880l,0x738ecc8874875588l,0x39d707adca2af665l,
0xc8c11f688f4c5f73l },
0 },
/* 60 << 96 */
{ { 0x68e4f15e9afdfb3cl,0x49a561435bdfb6dfl,0xa9bc1bd45f823d97l,
0xbceb5970ea111c2al },
{ 0x366b455fb269bbc4l,0x7cd85e1ee9bc5d62l,0xc743c41c4f18b086l,
0xa4b4099095294fb9l },
0 },
/* 61 << 96 */
{ { 0x2ae046d66aa34757l,0x34db1addaa6d7e9dl,0x2b4b7e017ccf432bl,
0xfbe0bfa590d319c6l },
{ 0xfb2981687ec7a7f2l,0x346cc46004f5132el,0x782b2e53b40aceddl,
0x402e1d64e3f0b8b9l },
0 },
/* 63 << 96 */
{ { 0x2aa3b21d25a56088l,0xae6ee57543d08962l,0x669e42bff1e22297l,
0x7b4c635732e3a47al },
{ 0x22b16260ea464a25l,0xad8ca59072d5cd7al,0x7c244266104eb96al,
0x1def95e28e7c11d2l },
0 },
/* 64 << 96 */
{ { 0x9c7c581d26ee8382l,0xcf17dcc5359d638el,0xee8273abb728ae3dl,
0x1d112926f821f047l },
{ 0x1149847750491a74l,0x687fa761fde0dfb9l,0x2c2580227ea435abl,
0x6b8bdb9491ce7e3fl },
0 },
/* 65 << 96 */
{ { 0x1f04524cdc27e1f7l,0xa0c74f61572eab14l,0xdd5d0cfced272074l,
0x95533c1d5bfe4f65l },
{ 0x3039d57ecce817cal,0x029967d73b822082l,0x9fca43866c4a10d3l,
0xf8b2a7f0bb4968ebl },
0 },
/* 71 << 96 */
{ { 0x933cd6dcbfbf6407l,0xd08f21504be673f8l,0x0e1c4d0db1140a2el,
0x0502a092431b270al },
{ 0x5d99f9508768c00al,0xda3ce5079b3ff3c7l,0x1c648b75031c11abl,
0x5e3de47bf2776305l },
0 },
/* 77 << 96 */
{ { 0xe22af9274d2b9de4l,0xf3690f55a69609ecl,0x20260a6e453fbe18l,
0x8edcb46b42d0b085l },
{ 0xd4ef250b7d9c7f58l,0x5e8578dfc83c3433l,0x9751d9b9e46e320al,
0xb02bd03cf3c58af6l },
0 },
/* 83 << 96 */
{ { 0x0ab299ede1b4d1ccl,0x22e7301cec4d18d2l,0xf2380f2a7b86d4ffl,
0xca19ef9e40753713l },
{ 0x52bb0d24678c38a1l,0xcc9d6fd499001c02l,0xa2dd6b00bc5876e4l,
0xfe04b402409fe2b3l },
0 },
/* 89 << 96 */
{ { 0x7db986b1ff69f8d3l,0x648865e59d6266b9l,0x7ccfe96183f7dae5l,
0x0f59a8bd6828379bl },
{ 0xad97e5ef0ac7c4e8l,0xa75914be784e9c18l,0x053e015bb18c1bb8l,
0x18f6cefcb347043el },
0 },
/* 95 << 96 */
{ { 0xb4d641bdf257c38al,0xadcea4d0c1372574l,0x7f8d20be71c8f0d0l,
0x14a1d24c41dc6344l },
{ 0xe446054e41f35526l,0x4664213823c952ddl,0xfbde483401f6b0acl,
0xc89eee66d75b6318l },
0 },
/* 101 << 96 */
{ { 0x700242937a087392l,0xd42bd3aad5da04del,0xee64cb5b1f803414l,
0xd6341ecbbab52988l },
{ 0x7ad522f343170a74l,0x5fba22536d61d9del,0x230304c1e845a6e5l,
0xd69feabfbc9e326bl },
0 },
/* 107 << 96 */
{ { 0xef7e49412e8a11d7l,0x4cb8963662c8bae1l,0xecc741198aad5816l,
0x13490782c7af5175l },
{ 0x10c701f73e91a604l,0xcb8c6c7124cc30c1l,0xce0d479c071eb382l,
0xa3dc71fb058087d4l },
0 },
/* 113 << 96 */
{ { 0xec368492541eb6d1l,0x567735d6e09a94abl,0xb8039ec172350329l,
0x3bd83a8f4894ddafl },
{ 0x740ef2a39c07063dl,0xba25e72277da7b59l,0xb09e248e3bf42e82l,
0x7ff36da0b017d037l },
0 },
/* 116 << 96 */
{ { 0xca80416651b8d9a3l,0x42531bc90ffb0db1l,0x72ce4718aa82e7cel,
0x6e199913df574741l },
{ 0xd5f1b13dd5d36946l,0x8255dc65f68f0194l,0xdc9df4cd8710d230l,
0x3453c20f138c1988l },
0 },
/* 119 << 96 */
{ { 0x913f23b9ed08ac04l,0x18e336643590d098l,0xd3f72934e67536dcl,
0xf949a757ec7ecde9l },
{ 0x37fc6583cf9cbd37l,0xcbe62cc043b1228el,0x777124948a743274l,
0x3ea3668c716ce6f1l },
0 },
/* 125 << 96 */
{ { 0xc89ce010a90d375bl,0x39ac669340503fe3l,0x9036f782d33ecb0el,
0x5190656841fdc7d1l },
{ 0xbefd136e917d94cdl,0x05fea2f22a511b24l,0x80e62d76f9076e0cl,
0x8c57635e418ba653l },
0 },
},
{
/* 0 << 104 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 104 */
{ { 0x20d3c982cf7d62d2l,0x1f36e29d23ba8150l,0x48ae0bf092763f9el,
0x7a527e6b1d3a7007l },
{ 0xb4a89097581a85e3l,0x1f1a520fdc158be5l,0xf98db37d167d726el,
0x8802786e1113e862l },
0 },
/* 3 << 104 */
{ { 0xf6e894d1f4c6b6ecl,0x526b082718b3cd9bl,0x73f952a812117fbfl,
0x2be864b011945bf5l },
{ 0x86f18ea542099b64l,0x2770b28a07548ce2l,0x97390f28295c1c9cl,
0x672e6a43cb5206c3l },
0 },
/* 4 << 104 */
{ { 0xc37c7dd0c55c4496l,0xa6a9635725bbabd2l,0x5b7e63f2add7f363l,
0x9dce37822e73f1dfl },
{ 0xe1e5a16ab2b91f71l,0xe44898235ba0163cl,0xf2759c32f6e515adl,
0xa5e2f1f88615eecfl },
0 },
/* 5 << 104 */
{ { 0xcacce2c847c64367l,0x6a496b9f45af4ec0l,0x2a0836f36034042cl,
0x14a1f3900b6c62eal },
{ 0xe7fa93633ef1f540l,0xd323b30a72a76d93l,0xffeec8b50feae451l,
0x4eafc172bd04ef87l },
0 },
/* 7 << 104 */
{ { 0xe4435a51b3e59b89l,0x136139554133a1c9l,0x87f46973440bee59l,
0x714710f800c401e4l },
{ 0xc0cf4bced6c446c9l,0xe0aa7fd66c4d5368l,0xde5d811afc68fc37l,
0x61febd72b7c2a057l },
0 },
/* 9 << 104 */
{ { 0x27375fe665f837e2l,0x93f8c68bd882179fl,0x584feadc59b16187l,
0xe5b50be9483bc162l },
{ 0x7ad9d6f1a2776625l,0xe9d1008004ff457bl,0x5b56d322677618a6l,
0x036694eae3e68673l },
0 },
/* 10 << 104 */
{ { 0x6ca4f87e822e37bel,0x73f237b4253bda4el,0xf747f3a241190aebl,
0xf06fa36f804cf284l },
{ 0x0a6bbb6efc621c12l,0x5d624b6440b80ec6l,0x4b0724257ba556f3l,
0x7fa0c3543e2d20a8l },
0 },
/* 11 << 104 */
{ { 0x6feaffc51d8a4fd1l,0x59663b205f1ad208l,0xefc93cef24acb46al,
0x54929de05967118cl },
{ 0x885708009acffb1cl,0x492bbf2b145639ecl,0x71f495a638f0018el,
0xe24365dbc2792847l },
0 },
/* 13 << 104 */
{ { 0x4bedae86a6f29002l,0x7abedb56e034457al,0x8bf3eec6179bff2al,
0x9d626d57390f4e6bl },
{ 0x653fe0e914dd6ea3l,0x7483715989bd6d08l,0x85fb05b4ebd9b03dl,
0x7dc3f2214a768bbcl },
0 },
/* 15 << 104 */
{ { 0xaacc63f132b0ed8fl,0x041237242bafefd2l,0x0df9a7987e2d2a13l,
0x09bd13cf9c27591fl },
{ 0xaa5f5e476e1afb50l,0xcd146a42b66eb646l,0x3f07561d1442ec3cl,
0x7e5471738ae8ec47l },
0 },
/* 16 << 104 */
{ { 0x8de2b7bc453cadd6l,0x203900a7bc0bc1f8l,0xbcd86e47a6abd3afl,
0x911cac128502effbl },
{ 0x2d550242ec965469l,0x0e9f769229e0017el,0x633f078f65979885l,
0xfb87d4494cf751efl },
0 },
/* 17 << 104 */
{ { 0x2c3e61196c0c6cd5l,0x5e01a49a99f4aac8l,0xfa518fc92ef1565el,
0xf64ff8714f772366l },
{ 0x52fcbc2b726420d0l,0x30fbf6eb76cfa9eel,0x0bd17139fa618268l,
0x23ed6e122087535dl },
0 },
/* 19 << 104 */
{ { 0x76098e38bb4ccb2cl,0x44e88aeeafbad6d1l,0x5c4d286771928778l,
0xb1df868138534c94l },
{ 0x67eb8f4d77ce9debl,0x2a86d0461a77c55dl,0xc327181e46a6a3e7l,
0x68fd611b8710e206l },
0 },
/* 21 << 104 */
{ { 0xc093f3fc0c82bdf1l,0x21db25894f76c4a6l,0xf3dcb22ee410a7ael,
0x1db37114f3c22ffel },
{ 0x9bd0a1fb58f6801dl,0x2cab103bd1b55cc8l,0x2ae1a7f5077ba4b2l,
0x82b46642ce5ab2b3l },
0 },
/* 23 << 104 */
{ { 0xc8477ec52546684cl,0xe3f9387702ff02b5l,0xefb72133ae5d04cdl,
0x644905c339f10d02l },
{ 0x1750c87c13d8d356l,0x0e9b8063b41e7640l,0xc7ece04f5647b05bl,
0x89a43da7ca9df9c4l },
0 },
/* 25 << 104 */
{ { 0x02610ef1920eb7d9l,0x34bd2fc2e1ea1dc0l,0xcb89da255170b890l,
0xaaa2796461cff827l },
{ 0xc308c9d37103ed6al,0xe82d63d5a467564al,0x94c897c4a0fa7732l,
0x75eb52fa64c7aa5fl },
0 },
/* 27 << 104 */
{ { 0x52582f9cb985fcb6l,0xaaef8d9f8508a691l,0x494c2c346e505131l,
0x6d062362d55f30f6l },
{ 0x70059e9122e1e32fl,0x1507c3fe9e51abb0l,0xd8aba31b2b7bda72l,
0x5acbc5f77b753f13l },
0 },
/* 28 << 104 */
{ { 0x15bfb8bf5116f937l,0x7c64a586c1268943l,0x71e25cc38419a2c8l,
0x9fd6b0c48335f463l },
{ 0x4bf0ba3ce8ee0e0el,0x6f6fba60298c21fal,0x57d57b39ae66bee0l,
0x292d513022672544l },
0 },
/* 29 << 104 */
{ { 0x075dc81953952ff6l,0xd4d9eeda20b7384dl,0x8a81c1bfd2d6c6a5l,
0x319368a0db050f3bl },
{ 0x91f476de31f1cee2l,0x1b38604500d0e17fl,0xed2081889a820384l,
0x8d00c411a0f1a637l },
0 },
/* 31 << 104 */
{ { 0xb029b687a47fd8f0l,0xa531360696371a05l,0x7b84e88c5ab09140l,
0x87dad7c85eeb1d14l },
{ 0xef0749b9d0edf6f3l,0x29fc7310e2ef198bl,0x01e05df5069ed399l,
0x121db4ecdf4e2fcal },
0 },
/* 33 << 104 */
{ { 0xe730f3f62826bee0l,0xb9bdbe3fce332a8fl,0x1ecad11766ec00aal,
0x7503d835617a62d1l },
{ 0x9f34e161b862b139l,0xde42194cf30f6a67l,0x5037a953c1e879fel,
0x62f321f89bda45dbl },
0 },
/* 34 << 104 */
{ { 0xe87771d8033f2876l,0xb0186ec67d5cc3dbl,0x58e8bb803bc9bc1dl,
0x4d1395cc6f6ef60el },
{ 0xa73c62d6186244a0l,0x918e5f23110a5b53l,0xed4878ca741b7eabl,
0x3038d71adbe03e51l },
0 },
/* 35 << 104 */
{ { 0xcbdba27c40234d55l,0x24352b6cb3eb56c9l,0xae681b85a8e9295al,
0x2a6cfba1f1171664l },
{ 0x49f045838ca40c3cl,0xe56da25c6eb0f8eal,0x8e62f86fc4341a4el,
0x7f68bdc64c3f947fl },
0 },
/* 36 << 104 */
{ { 0x840204b7a93c3246l,0x21ab6069a0b9b4cdl,0xf5fa6e2bb1d64218l,
0x1de6ad0ef3d56191l },
{ 0x570aaa88ff1929c7l,0xc6df4c6b640e87b5l,0xde8a74f2c65f0cccl,
0x8b972fd5e6f6cc01l },
0 },
/* 37 << 104 */
{ { 0x862013c00bf22173l,0xfd004c834acd8e23l,0x50e422ca310b1649l,
0xe6d04de65bbe1854l },
{ 0x651f646385761ef3l,0x3b17d38652cf85c9l,0xbdce284a5f54ecc7l,
0x72efcd3ec7c2106cl },
0 },
/* 39 << 104 */
{ { 0x34324b182ff07e3el,0x29938f38f50bcb71l,0xd0e3d7b977e2bcc3l,
0x8e78f007c0a3292bl },
{ 0xfa28c530005c2c00l,0x6f9c21d51faa0c5al,0x3df01abd7b9c78f3l,
0x0e5618c1ccaaeb7el },
0 },
/* 40 << 104 */
{ { 0xaa6778fce7560b90l,0xb4073e61a7e824cel,0xff0d693cd642eba8l,
0x7ce2e57a5dccef38l },
{ 0x89c2c7891df1ad46l,0x83a06922098346fdl,0x2d715d72da2fc177l,
0x7b6dd71d85b6cf1dl },
0 },
/* 41 << 104 */
{ { 0x4601a6a492ad3889l,0xdc8e3364d9a0709fl,0x0c687f2b2c260327l,
0xe882af62e1a79573l },
{ 0x0cfd00ab945d9017l,0xe6df7505d0e3c188l,0xb389a66dbde825a2l,
0x126d77b6bcd8e14fl },
0 },
/* 43 << 104 */
{ { 0xc800acc7db18ec73l,0x0ebecc78d86e99efl,0x675796cdbd05bc5fl,
0x254498126afd7c7fl },
{ 0x96293b695969b165l,0xd8514d83c162c8dal,0xe174f8b674a15a5cl,
0x880d687389a2f73cl },
0 },
/* 44 << 104 */
{ { 0x53703a328300129fl,0x1f63766268c43bfdl,0xbcbd191300e54051l,
0x812fcc627bf5a8c5l },
{ 0x3f969d5f29fb85dal,0x72f4e00a694759e8l,0x426b6e52790726b7l,
0x617bbc873bdbb209l },
0 },
/* 45 << 104 */
{ { 0xf536f07cad1deb2el,0x2a13a11ea87a710el,0x0ce2ccab64f4dc96l,
0x16178694f5a55464l },
{ 0x1496168da2cb3986l,0xb079a5b9d56a93a9l,0x97005e99092893d3l,
0x55df5ed6e8fcc6c3l },
0 },
/* 46 << 104 */
{ { 0x511f8bb997aee317l,0x812a4096e81536a8l,0x137dfe593ac09b9bl,
0x0682238fba8c9a7al },
{ 0x7072ead6aeccb4bdl,0x6a34e9aa692ba633l,0xc82eaec26fff9d33l,
0xfb7535121d4d2b62l },
0 },
/* 47 << 104 */
{ { 0x821dca8bbf328b1cl,0x24596ddd5a3d6830l,0x061c4c15635b5b4cl,
0x0e2b3bef4fa3560al },
{ 0xffced37498906c43l,0x10ebd174e26b3784l,0x7cd068c470039bb5l,
0xc47dda0f88404e59l },
0 },
/* 48 << 104 */
{ { 0x1a0445ff1d7aadabl,0x65d38260d5f6a67cl,0x6e62fb0891cfb26fl,
0xef1e0fa55c7d91d6l },
{ 0x47e7c7ba33db72cdl,0x017cbc09fa7c74b2l,0x3c931590f50a503cl,
0xcac54f60616baa42l },
0 },
/* 49 << 104 */
{ { 0x7ad7d13569185235l,0x19771949fb69e030l,0xd4de9717bc45fb4fl,
0x5657b076167e5739l },
{ 0x9503a71fdd27449el,0xfa2fabf73cc01347l,0xf8ecef24c83fb301l,
0x527012bd5a8d5078l },
0 },
/* 51 << 104 */
{ { 0x70a550d7e6fc3a32l,0x8e5875841951fe57l,0x5e6d43eaaab9788bl,
0x1e406fed80599794l },
{ 0xd8164ace9ed2557cl,0xf9648f30ff593e10l,0x53af2fd80c2ff879l,
0x6705993cc9409bf4l },
0 },
/* 52 << 104 */
{ { 0x04b005b6c6458293l,0x36bb5276e8d10af7l,0xacf2dc138ee617b8l,
0x470d2d35b004b3d4l },
{ 0x06790832feeb1b77l,0x2bb75c3985657f9cl,0xd70bd4edc0f60004l,
0xfe797ecc219b018bl },
0 },
/* 53 << 104 */
{ { 0xeca02ebf0ef19ceel,0xac691fbe2de090a4l,0x1f3866641b374547l,
0xbd8018c6a12ee85fl },
{ 0x3e851318ee63e0f1l,0x45b0c37a161987d3l,0x67fe36056eb567c4l,
0x07c291b563200c5bl },
0 },
/* 55 << 104 */
{ { 0xc85535ac1a956a8al,0x7bf4d70bc0ade321l,0xaf2efc48237bc56fl,
0xf9bfe13e31ba97e7l },
{ 0x2ca5fac4cf7c6c65l,0xc23b14ff03ec3e35l,0xc5109923217bcfd2l,
0xf02f96a1c58f32f3l },
0 },
/* 57 << 104 */
{ { 0x3b1f715b0d0aeff4l,0xbe406d62f0d44536l,0xe413843d567bcb38l,
0x75b7fb43791e705al },
{ 0x5b831d4b224f85e5l,0x3fea6659d9a35eael,0xd6f8bd097c85480bl,
0x2a9561a34a959267l },
0 },
/* 59 << 104 */
{ { 0x4a96a3535a303c10l,0x9aa3ad71c37c8d7el,0x4e2d077fde52014fl,
0x4d8bec5df8e3964dl },
{ 0xda88ab94e865e142l,0x52df506d10a88091l,0x9aebff0092fc38a2l,
0xdfc034395608b0a2l },
0 },
/* 60 << 104 */
{ { 0xee23fa819966e7eel,0x64ec4aa805b7920dl,0x2d44462d2d90aad4l,
0xf44dd195df277ad5l },
{ 0x8d6471f1bb46b6a1l,0x1e65d313fd885090l,0x33a800f513a977b4l,
0xaca9d7210797e1efl },
0 },
/* 61 << 104 */
{ { 0xb1557be2a4ea787el,0x59324973019f667fl,0x262ceced5595367cl,
0x8a676897ec598640l },
{ 0x2df6cebfc7f06f4fl,0xb255723138078f9al,0xad553c46524a0dd1l,
0xe20bb20a5a68d62al },
0 },
/* 63 << 104 */
{ { 0x6f47e3779589e263l,0x7cb83e3d35106bb8l,0x2642d87bcc632fc2l,
0x4d18f34d8b77eb36l },
{ 0x7de6bf6d19ca4d1cl,0x438e8f02f7e926aal,0xb539021250ac930al,
0xe34ddfc15b219a9fl },
0 },
/* 64 << 104 */
{ { 0x98857ceb1bf4581cl,0xe635e186aca7b166l,0x278ddd22659722acl,
0xa0903c4c1db68007l },
{ 0x366e458948f21402l,0x31b49c14b96abda2l,0x329c4b09e0403190l,
0x97197ca3d29f43fel },
0 },
/* 65 << 104 */
{ { 0xfe4de13781479db4l,0x307331f012f08ea5l,0x7f59a64758c04c13l,
0x6b41189abdc9b3c9l },
{ 0xb10f11e5a6f8c5edl,0x757fb7a3f5b0579el,0x456d0a873c90d027l,
0x7e8bb6bf32361796l },
0 },
/* 71 << 104 */
{ { 0x6aa1dc6c9e689d8dl,0xaa5fa015479cdd09l,0x7eb4dbb582fc000al,
0x4a57b689eff4e701l },
{ 0x7bfe8d2a8e15cd8cl,0xab109b1cc9074e1al,0x5716715fee1619a5l,
0xf29a51eccdcb40bcl },
0 },
/* 77 << 104 */
{ { 0x14c76234ddf03c6el,0xdfb5d388baeb2eddl,0x4bd85da26d413d2dl,
0x5b0dd9be3ae38469l },
{ 0xe4d8a9d89ab3ae61l,0xb9e37b880ee63951l,0x17f08e9b21a7f30fl,
0x173db1e8119af788l },
0 },
/* 83 << 104 */
{ { 0x2352ad4a170d43f6l,0x098d74f65a0ae4b0l,0x290f5236c3a46c2al,
0xea9266102dd87e7fl },
{ 0xd7ee90f6848e6911l,0xebe8f4cce0d8886fl,0xa2038320558ff6a0l,
0x1f716534f37c38cfl },
0 },
/* 89 << 104 */
{ { 0x9754209439a4a159l,0xe6135412fed24278l,0xbba62254d70e2cabl,
0x4ac6a8ac85895130l },
{ 0xc01614fee1a45363l,0x720ad3f8b67294f2l,0x724ea95cb420ea51l,
0x1f40ab2d712b856cl },
0 },
/* 95 << 104 */
{ { 0x708e1c7975f3d30cl,0x423f1535e2172da3l,0x7a29be342a06a0b1l,
0x9de5c9eb32c68ba2l },
{ 0x70217b0232d48793l,0x3cf3855bac1471cfl,0x6762d03f8321e179l,
0x06ee12ea236fa7cfl },
0 },
/* 101 << 104 */
{ { 0x1718e7428779109bl,0x6188008d0aca350bl,0xbbe227e00594bc15l,
0x4a7b6423ddbdea35l },
{ 0x06ad632dfa44e1bfl,0xaf9c163d1e97b409l,0x64dafec3c61f2b2fl,
0xc6759d905525c0c9l },
0 },
/* 107 << 104 */
{ { 0x76d6294787517149l,0x2bda339baa77d325l,0x04b1bec067ad1fd1l,
0x49f63fcc0aec7c73l },
{ 0x005cb459ec1bf494l,0x8fa99c1b1ec6f8bbl,0x70a4e6d78b59dd43l,
0xfd70bcb313d6594dl },
0 },
/* 113 << 104 */
{ { 0x2987a7cb13966c11l,0x74ad0a26a783f283l,0xf011200ae54d27f0l,
0xbd8632963fb38396l },
{ 0x7ec7fe8c9b86d059l,0xfa94ca76d0cd33a7l,0xf6ad741cdc646993l,
0x83054a427ebc34e9l },
0 },
/* 116 << 104 */
{ { 0xadef8c5a192ef710l,0x88afbd4b3b7431f9l,0x7e1f740764250c9el,
0x6e31318db58bec07l },
{ 0xfd4fc4b824f89b4el,0x65a5dd8848c36a2al,0x4f1eccfff024baa7l,
0x22a21cf2cba94650l },
0 },
/* 119 << 104 */
{ { 0x7b45865478f39754l,0xcbb8b96c4564e003l,0xb492d2bf69b35752l,
0x4e6287e065ee5ad3l },
{ 0x07906c14eb1ffe62l,0xf350390c681fcdf8l,0xc351386f6be3eec3l,
0x8480d00ee5df919dl },
0 },
/* 125 << 104 */
{ { 0x399861ecf8a2d5aal,0xb179adeb046f78cbl,0x056a6cd88792f647l,
0xd3dfc91c3d411820l },
{ 0x4ccf92d179693be1l,0x12ecd9a3f65cb250l,0x58e5d2102538b9e7l,
0x4e655882ff977ccal },
0 },
},
{
/* 0 << 112 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 112 */
{ { 0x8ce9b6bfc360e25al,0xe6425195075a1a78l,0x9dc756a8481732f4l,
0x83c0440f5432b57al },
{ 0xc670b3f1d720281fl,0x2205910ed135e051l,0xded14b0edb052be7l,
0x697b3d27c568ea39l },
0 },
/* 3 << 112 */
{ { 0x0b89de9314092ebbl,0xf17256bd428e240cl,0xcf89a7f393d2f064l,
0x4f57841ee1ed3b14l },
{ 0x4ee14405e708d855l,0x856aae7203f1c3d0l,0xc8e5424fbdd7eed5l,
0x3333e4ef73ab4270l },
0 },
/* 4 << 112 */
{ { 0x3bc77adedda492f8l,0xc11a3aea78297205l,0x5e89a3e734931b4cl,
0x17512e2e9f5694bbl },
{ 0x5dc349f3177bf8b6l,0x232ea4ba08c7ff3el,0x9c4f9d16f511145dl,
0xccf109a333b379c3l },
0 },
/* 5 << 112 */
{ { 0xe75e7a88a1f25897l,0x7ac6961fa1b5d4d8l,0xe3e1077308f3ed5cl,
0x208a54ec0a892dfbl },
{ 0xbe826e1978660710l,0x0cf70a97237df2c8l,0x418a7340ed704da5l,
0xa3eeb9a908ca33fdl },
0 },
/* 7 << 112 */
{ { 0xb4323d588434a920l,0xc0af8e93622103c5l,0x667518ef938dbf9al,
0xa184307383a9cdf2l },
{ 0x350a94aa5447ab80l,0xe5e5a325c75a3d61l,0x74ba507f68411a9el,
0x10581fc1594f70c5l },
0 },
/* 9 << 112 */
{ { 0x5aaa98a7cb0c9c8cl,0x75105f3081c4375cl,0xceee50575ef1c90fl,
0xb31e065fc23a17bfl },
{ 0x5364d275d4b6d45al,0xd363f3ad62ec8996l,0xb5d212394391c65bl,
0x84564765ebb41b47l },
0 },
/* 10 << 112 */
{ { 0x20d18ecc37107c78l,0xacff3b6b570c2a66l,0x22f975d99bd0d845l,
0xef0a0c46ba178fa0l },
{ 0x1a41965176b6028el,0xc49ec674248612d4l,0x5b6ac4f27338af55l,
0x06145e627bee5a36l },
0 },
/* 11 << 112 */
{ { 0x33e95d07e75746b5l,0x1c1e1f6dc40c78bel,0x967833ef222ff8e2l,
0x4bedcf6ab49180adl },
{ 0x6b37e9c13d7a4c8al,0x2748887c6ddfe760l,0xf7055123aa3a5bbcl,
0x954ff2257bbb8e74l },
0 },
/* 13 << 112 */
{ { 0x4e23ca446d3fea55l,0xb4ae9c86f4810568l,0x47bfb91b2a62f27dl,
0x60deb4c9d9bac28cl },
{ 0xa892d8947de6c34cl,0x4ee682594494587dl,0x914ee14e1a3f8a5bl,
0xbb113eaa28700385l },
0 },
/* 15 << 112 */
{ { 0xef9dc899a7b56eafl,0x00c0e52c34ef7316l,0x5b1e4e24fe818a86l,
0x9d31e20dc538be47l },
{ 0x22eb932d3ed68974l,0xe44bbc087c4e87c4l,0x4121086e0dde9aefl,
0x8e6b9cff134f4345l },
0 },
/* 16 << 112 */
{ { 0x96892c1f711b0eb9l,0xb905f2c8780ab954l,0xace26309a20792dbl,
0xec8ac9b30684e126l },
{ 0x486ad8b6b40a2447l,0x60121fc19fe3fb24l,0x5626fccf1a8e3b3fl,
0x4e5686226ad1f394l },
0 },
/* 17 << 112 */
{ { 0xda7aae0d196aa5a1l,0xe0df8c771041b5fbl,0x451465d926b318b7l,
0xc29b6e557ab136e9l },
{ 0x2c2ab48b71148463l,0xb5738de364454a76l,0x54ccf9a05a03abe4l,
0x377c02960427d58el },
0 },
/* 19 << 112 */
{ { 0x90e4f7c92d7d1413l,0x67e2d6b59834f597l,0x4fd4f4f9a808c3e8l,
0xaf8237e0d5281ec1l },
{ 0x25ab5fdc84687ceel,0xc5ded6b1a5b26c09l,0x8e4a5aecc8ea7650l,
0x23b73e5c14cc417fl },
0 },
/* 21 << 112 */
{ { 0xb4293fdcf50225f9l,0xc52e175cb0e12b03l,0xf649c3bad0a8bf64l,
0x745a8fefeb8ae3c6l },
{ 0x30d7e5a358321bc3l,0xb1732be70bc4df48l,0x1f217993e9ea5058l,
0xf7a71cde3e4fd745l },
0 },
/* 23 << 112 */
{ { 0xa188b2502d0f39aal,0x622118bb15a85947l,0x2ebf520ffde0f4fal,
0xa40e9f294860e539l },
{ 0x7b6a51eb22b57f0fl,0x849a33b97e80644al,0x50e5d16f1cf095fel,
0xd754b54eec55f002l },
0 },
/* 25 << 112 */
{ { 0xcd821dfb988baf01l,0xe6331a7ddbb16647l,0x1eb8ad33094cb960l,
0x593cca38c91bbca5l },
{ 0x384aac8d26567456l,0x40fa0309c04b6490l,0x97834cd6dab6c8f6l,
0x68a7318d3f91e55fl },
0 },
/* 27 << 112 */
{ { 0xc7bfd486605daaa6l,0x46fd72b7bb9a6c9el,0xe4847fb1a124fb89l,
0x75959cbda2d8ffbcl },
{ 0x42579f65c8a588eel,0x368c92e6b80b499dl,0xea4ef6cd999a5df1l,
0xaa73bb7f936fe604l },
0 },
/* 28 << 112 */
{ { 0xf347a70d6457d188l,0x86eda86b8b7a388bl,0xb7cdff060ccd6013l,
0xbeb1b6c7d0053fb2l },
{ 0x0b02238799240a9fl,0x1bbb384f776189b2l,0x8695e71e9066193al,
0x2eb5009706ffac7el },
0 },
/* 29 << 112 */
{ { 0x0654a9c04a7d2caal,0x6f3fb3d1a5aaa290l,0x835db041ff476e8fl,
0x540b8b0bc42295e4l },
{ 0xa5c73ac905e214f5l,0x9a74075a56a0b638l,0x2e4b1090ce9e680bl,
0x57a5b4796b8d9afal },
0 },
/* 31 << 112 */
{ { 0x2a2bfa7f650006f0l,0xdfd7dad350c0fbb2l,0x92452495ccf9ad96l,
0x183bf494d95635f9l },
{ 0x02d5df434a7bd989l,0x505385cca5431095l,0xdd98e67dfd43f53el,
0xd61e1a6c500c34a9l },
0 },
/* 33 << 112 */
{ { 0x41d85ea1ef74c45bl,0x2cfbfa66ae328506l,0x98b078f53ada7da9l,
0xd985fe37ec752fbbl },
{ 0xeece68fe5a0148b4l,0x6f9a55c72d78136dl,0x232dccc4d2b729cel,
0xa27e0dfd90aafbc4l },
0 },
/* 34 << 112 */
{ { 0x9647445212b4603el,0xa876c5516b706d14l,0xdf145fcf69a9d412l,
0xe2ab75b72d479c34l },
{ 0x12df9a761a23ff97l,0xc61389925d359d10l,0x6e51c7aefa835f22l,
0x69a79cb1c0fcc4d9l },
0 },
/* 35 << 112 */
{ { 0xf57f350d594cc7e1l,0x3079ca633350ab79l,0x226fb6149aff594al,
0x35afec026d59a62bl },
{ 0x9bee46f406ed2c6el,0x58da17357d939a57l,0x44c504028fd1797el,
0xd8853e7c5ccea6cal },
0 },
/* 36 << 112 */
{ { 0x4065508da35fcd5fl,0x8965df8c495ccaebl,0x0f2da85012e1a962l,
0xee471b94c1cf1cc4l },
{ 0xcef19bc80a08fb75l,0x704958f581de3591l,0x2867f8b23aef4f88l,
0x8d749384ea9f9a5fl },
0 },
/* 37 << 112 */
{ { 0x1b3855378c9049f4l,0x5be948f37b92d8b6l,0xd96f725db6e2bd6bl,
0x37a222bc958c454dl },
{ 0xe7c61abb8809bf61l,0x46f07fbc1346f18dl,0xfb567a7ae87c0d1cl,
0x84a461c87ef3d07al },
0 },
/* 39 << 112 */
{ { 0x3ab3d5afbd76e195l,0x478dd1ad6938a810l,0x6ffab3936ee3d5cbl,
0xdfb693db22b361e4l },
{ 0xf969449651dbf1a7l,0xcab4b4ef08a2e762l,0xe8c92f25d39bba9al,
0x850e61bcf1464d96l },
0 },
/* 40 << 112 */
{ { 0xb7e830e3dc09508bl,0xfaf6d2cf74317655l,0x72606cebdf690355l,
0x48bb92b3d0c3ded6l },
{ 0x65b754845c7cf892l,0xf6cd7ac9d5d5f01fl,0xc2c30a5996401d69l,
0x91268650ed921878l },
0 },
/* 41 << 112 */
{ { 0x380bf913b78c558fl,0x43c0baebc8afdaa9l,0x377f61d554f169d3l,
0xf8da07e3ae5ff20bl },
{ 0xb676c49da8a90ea8l,0x81c1ff2b83a29b21l,0x383297ac2ad8d276l,
0x3001122fba89f982l },
0 },
/* 43 << 112 */
{ { 0xbbe1e6a6c93f72d6l,0xd5f75d12cad800eal,0xfa40a09fe7acf117l,
0x32c8cdd57581a355l },
{ 0x742219927023c499l,0xa8afe5d738ec3901l,0x5691afcba90e83f0l,
0x41bcaa030b8f8eacl },
0 },
/* 44 << 112 */
{ { 0xe38b5ff98d2668d5l,0x0715281a7ad81965l,0x1bc8fc7c03c6ce11l,
0xcbbee6e28b650436l },
{ 0x06b00fe80cdb9808l,0x17d6e066fe3ed315l,0x2e9d38c64d0b5018l,
0xab8bfd56844dcaefl },
0 },
/* 45 << 112 */
{ { 0x42894a59513aed8bl,0xf77f3b6d314bd07al,0xbbdecb8f8e42b582l,
0xf10e2fa8d2390fe6l },
{ 0xefb9502262a2f201l,0x4d59ea5050ee32b0l,0xd87f77286da789a8l,
0xcf98a2cff79492c4l },
0 },
/* 46 << 112 */
{ { 0xf9577239720943c2l,0xba044cf53990b9d0l,0x5aa8e82395f2884al,
0x834de6ed0278a0afl },
{ 0xc8e1ee9a5f25bd12l,0x9259ceaa6f7ab271l,0x7e6d97a277d00b76l,
0x5c0c6eeaa437832al },
0 },
/* 47 << 112 */
{ { 0x5232c20f5606b81dl,0xabd7b3750d991ee5l,0x4d2bfe358632d951l,
0x78f8514698ed9364l },
{ 0x951873f0f30c3282l,0x0da8ac80a789230bl,0x3ac7789c5398967fl,
0xa69b8f7fbdda0fb5l },
0 },
/* 48 << 112 */
{ { 0xe5db77176add8545l,0x1b71cb6672c49b66l,0xd856073968421d77l,
0x03840fe883e3afeal },
{ 0xb391dad51ec69977l,0xae243fb9307f6726l,0xc88ac87be8ca160cl,
0x5174cced4ce355f4l },
0 },
/* 49 << 112 */
{ { 0x98a35966e58ba37dl,0xfdcc8da27817335dl,0x5b75283083fbc7bfl,
0x68e419d4d9c96984l },
{ 0x409a39f402a40380l,0x88940faf1fe977bcl,0xc640a94b8f8edea6l,
0x1e22cd17ed11547dl },
0 },
/* 51 << 112 */
{ { 0x17ba93b1a20ef103l,0xad8591306ba6577bl,0x65c91cf66fa214a0l,
0xd7d49c6c27990da5l },
{ 0xecd9ec8d20bb569dl,0xbd4b2502eeffbc33l,0x2056ca5a6bed0467l,
0x7916a1f75b63728cl },
0 },
/* 52 << 112 */
{ { 0xd4f9497d53a4f566l,0x8973466497b56810l,0xf8e1da740494a621l,
0x82546a938d011c68l },
{ 0x1f3acb19c61ac162l,0x52f8fa9cabad0d3el,0x15356523b4b7ea43l,
0x5a16ad61ae608125l },
0 },
/* 53 << 112 */
{ { 0xb0bcb87f4faed184l,0x5f236b1d5029f45fl,0xd42c76070bc6b1fcl,
0xc644324e68aefce3l },
{ 0x8e191d595c5d8446l,0xc020807713ae1979l,0xadcaee553ba59cc7l,
0x20ed6d6ba2cb81bal },
0 },
/* 55 << 112 */
{ { 0x7392b41a530ccbbdl,0x87c82146ea823525l,0xa52f984c05d98d0cl,
0x2ae57d735ef6974cl },
{ 0x9377f7bf3042a6ddl,0xb1a007c019647a64l,0xfaa9079a0cca9767l,
0x3d81a25bf68f72d5l },
0 },
/* 57 << 112 */
{ { 0xc110d830b0f2ac95l,0x48d0995aab20e64el,0x0f3e00e17729cd9al,
0x2a570c20dd556946l },
{ 0x912dbcfd4e86214dl,0x2d014ee2cf615498l,0x55e2b1e63530d76el,
0xc5135ae4fd0fd6d1l },
0 },
/* 59 << 112 */
{ { 0x1854daa5061f1658l,0xc0016df1df0cd2b3l,0xc2a3f23e833d50del,
0x73b681d2bbbd3017l },
{ 0x2f046dc43ac343c0l,0x9c847e7d85716421l,0xe1e13c910917eed4l,
0x3fc9eebd63a1b9c6l },
0 },
/* 60 << 112 */
{ { 0x0f816a727fe02299l,0x6335ccc2294f3319l,0x3820179f4745c5bel,
0xe647b782922f066el },
{ 0xc22e49de02cafb8al,0x299bc2fffcc2ecccl,0x9a8feea26e0e8282l,
0xa627278bfe893205l },
0 },
/* 61 << 112 */
{ { 0xa7e197337933e47bl,0xf4ff6b132e766402l,0xa4d8be0a98440d9fl,
0x658f5c2f38938808l },
{ 0x90b75677c95b3b3el,0xfa0442693137b6ffl,0x077b039b43c47c29l,
0xcca95dd38a6445b2l },
0 },
/* 63 << 112 */
{ { 0x583f3703f9374ab6l,0x864f91956e564145l,0x33bc3f4822526d50l,
0x9f323c801262a496l },
{ 0xaa97a7ae3f046a9al,0x70da183edf8a039al,0x5b68f71c52aa0ba6l,
0x9be0fe5121459c2dl },
0 },
/* 64 << 112 */
{ { 0xc1e17eb6cbc613e5l,0x33131d55497ea61cl,0x2f69d39eaf7eded5l,
0x73c2f434de6af11bl },
{ 0x4ca52493a4a375fal,0x5f06787cb833c5c2l,0x814e091f3e6e71cfl,
0x76451f578b746666l },
0 },
/* 65 << 112 */
{ { 0xa700767eabd0cc76l,0xa14ae98015889273l,0x5acf2cc466ea6380l,
0xb942cc40d08d18b9l },
{ 0x9b5daa763ae45782l,0x61a25e0fb72f0ce0l,0xf94c0e80435fefe3l,
0x73d552cf1620e1c9l },
0 },
/* 71 << 112 */
{ { 0x57130582727185c1l,0x8f2b8ebc163897ecl,0x4a059cc7a04e4a6bl,
0x4b1de9fe0908a366l },
{ 0xa4f7738688d0fef0l,0x55e3bb1d9ebfc138l,0x9022bbef005ae362l,
0xf5669edc8741d349l },
0 },
/* 77 << 112 */
{ { 0xf192c0f7ede937a4l,0xd2e91d62810c1b1el,0xf2b40b64dcc39c69l,
0xe125fbd028f03b0el },
{ 0x52966dd78da708f9l,0x92d400a3cc0e7f32l,0x4e35aae36b0842b8l,
0x0b4fe66ded3ad3cfl },
0 },
/* 83 << 112 */
{ { 0x14b81d951f1ff6b5l,0x1d82f132ed9b03b8l,0x52f6f029b4fa4047l,
0xea653682601e5913l },
{ 0x4e900375edeee046l,0xd22ed267f9428714l,0xb004fb3b1753e873l,
0xfef061ba245b2c09l },
0 },
/* 89 << 112 */
{ { 0x5e2376eaf9deba2bl,0x1ed1e9e5269a18cfl,0x8dffd66dcb1cada8l,
0xb13239f068369c77l },
{ 0x2fede3a67f25426fl,0xc885cf0c6f90a2a6l,0xd950162d4eeac543l,
0x53011aa09abc201bl },
0 },
/* 95 << 112 */
{ { 0x7a63925d432b798al,0x92e762cfc9bd6da9l,0xf22fb9706a190382l,
0x19919b847b18a9b3l },
{ 0x16793b803adfde86l,0xf9ce15ace8b1d44cl,0x4bf74144c0a140b8l,
0x680468616f853f6cl },
0 },
/* 101 << 112 */
{ { 0xd4e0d8460db84ba2l,0x9a162a3a360b68bbl,0x7297f3939233146cl,
0xbc93c2f4ec77412dl },
{ 0x13ddf0a7e07e1065l,0x000a8d45fb5e5131l,0xb4373078cf61d467l,
0xa4a1fd67bf3bb6f9l },
0 },
/* 107 << 112 */
{ { 0x6f2473f9d7585098l,0x45a29448d4f23c1al,0x47fe40f1c22bdc25l,
0x4e46ed1f31347673l },
{ 0x5e43a8624148898cl,0x4a02ededa993954el,0x83d830b52f8a1847l,
0x007e3156a7f6a378l },
0 },
/* 113 << 112 */
{ { 0x01a39fe7e847ca18l,0xaf2722418fed2772l,0x3104ef891fbb1748l,
0x5b55331b2b9dd5ffl },
{ 0xe7806e31cec6a787l,0x9f49ed881e9c0af2l,0xf5a66373a3905b36l,
0x77b5bca9efab75f3l },
0 },
/* 116 << 112 */
{ { 0xd4d75f4bf0831932l,0x5e770ac477fe8cc9l,0x52b5e748862e72a2l,
0xe9a45482501d35fel },
{ 0x8a93e7424a9ab187l,0x5a72506de88ca017l,0xe680dcb201eb2defl,
0xdc5aa4e6ba68209dl },
0 },
/* 119 << 112 */
{ { 0x2defa3dc3d01a344l,0x11fd939b162e459al,0x928453b97313d720l,
0x08696dc053184a65l },
{ 0xd9f8a69c721f7415l,0x304eb0e079539019l,0xc9b0ca6dbb0c6313l,
0xa10133eba93dc74el },
0 },
/* 125 << 112 */
{ { 0xee0b164004393f1el,0x511547dfe1301979l,0xc00dfc3516d26d87l,
0x06227c8aab847494l },
{ 0x178ca86748b2fdc7l,0xb51296f01a8ba1dcl,0xf252787731e1dd14l,
0x7ecb5456c0ba2a1fl },
0 },
},
{
/* 0 << 120 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 120 */
{ { 0x3e0e5c9dd111f8ecl,0xbcc33f8db7c4e760l,0x702f9a91bd392a51l,
0x7da4a795c132e92dl },
{ 0x1a0b0ae30bb1151bl,0x54febac802e32251l,0xea3a5082694e9e78l,
0xe58ffec1e4fe40b8l },
0 },
/* 3 << 120 */
{ { 0x7b23c513516e19e4l,0x56e2e847c5c4d593l,0x9f727d735ce71ef6l,
0x5b6304a6f79a44c5l },
{ 0x6638a7363ab7e433l,0x1adea470fe742f83l,0xe054b8545b7fc19fl,
0xf935381aba1d0698l },
0 },
/* 4 << 120 */
{ { 0xb5504f9d918e4936l,0x65035ef6b2513982l,0x0553a0c26f4d9cb9l,
0x6cb10d56bea85509l },
{ 0x48d957b7a242da11l,0x16a4d3dd672b7268l,0x3d7e637c8502a96bl,
0x27c7032b730d463bl },
0 },
/* 5 << 120 */
{ { 0x55366b7d5846426fl,0xe7d09e89247d441dl,0x510b404d736fbf48l,
0x7fa003d0e784bd7dl },
{ 0x25f7614f17fd9596l,0x49e0e0a135cb98dbl,0x2c65957b2e83a76al,
0x5d40da8dcddbe0f8l },
0 },
/* 7 << 120 */
{ { 0x9fb3bba354530bb2l,0xbde3ef77cb0869eal,0x89bc90460b431163l,
0x4d03d7d2e4819a35l },
{ 0x33ae4f9e43b6a782l,0x216db3079c88a686l,0x91dd88e000ffedd9l,
0xb280da9f12bd4840l },
0 },
/* 9 << 120 */
{ { 0xa37f3573f37f5937l,0xeb0f6c7dd1e4fca5l,0x2965a554ac8ab0fcl,
0x17fbf56c274676acl },
{ 0x2e2f6bd9acf7d720l,0x41fc8f8810224766l,0x517a14b385d53befl,
0xdae327a57d76a7d1l },
0 },
/* 10 << 120 */
{ { 0x515d5c891f5f82dcl,0x9a7f67d76361079el,0xa8da81e311a35330l,
0xe44990c44b18be1bl },
{ 0xc7d5ed95af103e59l,0xece8aba78dac9261l,0xbe82b0999394b8d3l,
0x6830f09a16adfe83l },
0 },
/* 11 << 120 */
{ { 0x43c41ac194d7d9b1l,0x5bafdd82c82e7f17l,0xdf0614c15fda0fcal,
0x74b043a7a8ae37adl },
{ 0x3ba6afa19e71734cl,0x15d5437e9c450f2el,0x4a5883fe67e242b1l,
0x5143bdc22c1953c2l },
0 },
/* 13 << 120 */
{ { 0xc676d7f2b1f3390bl,0x9f7a1b8ca5b61272l,0x4ebebfc9c2e127a9l,
0x4602500c5dd997bfl },
{ 0x7f09771c4711230fl,0x058eb37c020f09c1l,0xab693d4bfee5e38bl,
0x9289eb1f4653cbc0l },
0 },
/* 15 << 120 */
{ { 0x54da9dc7ab952578l,0xb5423df226e84d0bl,0xa8b64eeb9b872042l,
0xac2057825990f6dfl },
{ 0x4ff696eb21f4c77al,0x1a79c3e4aab273afl,0x29bc922e9436b3f1l,
0xff807ef8d6d9a27al },
0 },
/* 16 << 120 */
{ { 0xc7f3a8f833f6746cl,0x21e46f65fea990cal,0x915fd5c5caddb0a9l,
0xbd41f01678614555l },
{ 0x346f4434426ffb58l,0x8055943614dbc204l,0xf3dd20fe5a969b7fl,
0x9d59e956e899a39al },
0 },
/* 17 << 120 */
{ { 0xe4ca688fd06f56c0l,0xa48af70ddf027972l,0x691f0f045e9a609dl,
0xa9dd82cdee61270el },
{ 0x8903ca63a0ef18d3l,0x9fb7ee353d6ca3bdl,0xa7b4a09cabf47d03l,
0x4cdada011c67de8el },
0 },
/* 19 << 120 */
{ { 0xac127dc1e038a675l,0x729deff38c5c6320l,0xb7df8fd4a90d2c53l,
0x9b74b0ec681e7cd3l },
{ 0x5cb5a623dab407e5l,0xcdbd361576b340c6l,0xa184415a7d28392cl,
0xc184c1d8e96f7830l },
0 },
/* 21 << 120 */
{ { 0x86a9303b2f7e85c3l,0x5fce462171988f9bl,0x5b935bf6c138acb5l,
0x30ea7d6725661212l },
{ 0xef1eb5f4e51ab9a2l,0x0587c98aae067c78l,0xb3ce1b3c77ca9ca6l,
0x2a553d4d54b5f057l },
0 },
/* 23 << 120 */
{ { 0x2c7156e10b1894a0l,0x92034001d81c68c0l,0xed225d00c8b115b5l,
0x237f9c2283b907f2l },
{ 0x0ea2f32f4470e2c0l,0xb725f7c158be4e95l,0x0f1dcafab1ae5463l,
0x59ed51871ba2fc04l },
0 },
/* 25 << 120 */
{ { 0xd1b0ccdec9520711l,0x55a9e4ed3c8b84bfl,0x9426bd39a1fef314l,
0x4f5f638e6eb93f2bl },
{ 0xba2a1ed32bf9341bl,0xd63c13214d42d5a9l,0xd2964a89316dc7c5l,
0xd1759606ca511851l },
0 },
/* 27 << 120 */
{ { 0xedf69feaf8c51187l,0x05bb67ec741e4da7l,0x47df0f3208114345l,
0x56facb07bb9792b1l },
{ 0xf3e007e98f6229e4l,0x62d103f4526fba0fl,0x4f33bef7b0339d79l,
0x9841357bb59bfec1l },
0 },
/* 28 << 120 */
{ { 0xae1e0b67e28ef5bal,0x2c9a4699cb18e169l,0x0ecd0e331e6bbd20l,
0x571b360eaf5e81d2l },
{ 0xcd9fea58101c1d45l,0x6651788e18880452l,0xa99726351f8dd446l,
0x44bed022e37281d0l },
0 },
/* 29 << 120 */
{ { 0x830e6eea60dbac1fl,0x23d8c484da06a2f7l,0x896714b050ca535bl,
0xdc8d3644ebd97a9bl },
{ 0x106ef9fab12177b4l,0xf79bf464534d5d9cl,0x2537a349a6ab360bl,
0xc7c54253a00c744fl },
0 },
/* 31 << 120 */
{ { 0x24d661d168754ab0l,0x801fce1d6f429a76l,0xc068a85fa58ce769l,
0xedc35c545d5eca2bl },
{ 0xea31276fa3f660d1l,0xa0184ebeb8fc7167l,0x0f20f21a1d8db0ael,
0xd96d095f56c35e12l },
0 },
/* 33 << 120 */
{ { 0x57d2046b59da06ebl,0x3c076d5fa49f6d74l,0x6b4c96e616f82ea0l,
0xaf7b0f1f90536c0bl },
{ 0x7999f86d204a9b2dl,0x7e420264126c9f87l,0x4c967a1f262ac4e5l,
0xe8174a09900e79adl },
0 },
/* 34 << 120 */
{ { 0xd51687f2cb82516bl,0x8a440cfc040e4670l,0xeafd2bcfe7738d32l,
0x7071e9162a1e911al },
{ 0xbd3abd44cfea57bbl,0x9c3add16085b19e2l,0xb194c01d6baa5aa6l,
0x6f3d3faf92f85c64l },
0 },
/* 35 << 120 */
{ { 0xe23e0769488a280el,0x8e55a728e63a5904l,0x01690716ab84cccfl,
0xfe796130b78b3c98l },
{ 0x15cc475b9117f211l,0xbdc178761d1b9d56l,0x8df5594a3e37b9b9l,
0x97747e341e37e494l },
0 },
/* 36 << 120 */
{ { 0xf2a6370ed2f896e1l,0x27100e63802987afl,0xb4db1cff4678ebc7l,
0x6e5f28d937b4b263l },
{ 0xd29030009711ebc4l,0xf14dcb9ff8712484l,0x7a46ec3eea449146l,
0x200155e9c1c51179l },
0 },
/* 37 << 120 */
{ { 0x8130f007f1968d55l,0x18823e7097ed9803l,0xdc9fec559402762dl,
0x9e0bd57e278f5abbl },
{ 0xaa41b913c9ebf303l,0x1105ec43a76b9353l,0xf8e4ee4cf4e6c6b5l,
0x3a630972bd7be696l },
0 },
/* 39 << 120 */
{ { 0x5c7da7e16356b3eel,0x951bfe458ccf9b48l,0x6f2c6e91d0555d0cl,
0x47d7f7b58efd38eel },
{ 0x957256c8af6fd630l,0xa690c65bdc01774cl,0xad52b27c7c8dafdal,
0x81fbc16af44a145fl },
0 },
/* 40 << 120 */
{ { 0x497c3a3481b0493al,0x2b3ab20d71bc8408l,0x0c60226aa03769d1l,
0x4ac89c7ad10708b0l },
{ 0x62398ea5092f7e6al,0x7f408f54de96d526l,0x025bde6f85bf102cl,
0xcc2f85120a4aa72el },
0 },
/* 41 << 120 */
{ { 0x8a65e0386884a9c3l,0xd2e6ac047bf8c794l,0xc9c5d3d3f7bcdfb9l,
0x0000ce42a33f2c12l },
{ 0xea1c0a9a7dd13b2bl,0xbfd97d7f0c35c3b1l,0x0ba75cf3347fcefel,
0xc3c5f28f1333460dl },
0 },
/* 43 << 120 */
{ { 0x7810ebf575baa708l,0xe7fa7a0dd7440549l,0x25b813baf0667e4al,
0x30a46740d15838a8l },
{ 0x13207b1ad04b22f7l,0x09e601ffd1419699l,0xb1038fc77f687b27l,
0xa4547dc9a127f95bl },
0 },
/* 44 << 120 */
{ { 0x83b2e3b3056ecd2cl,0xd17dcdaaf03dfd36l,0xee24a5f81dcef956l,
0xb6746cd0b7239f16l },
{ 0xed6cb311c8458c48l,0xe8c0fc9805d27da4l,0x4610e9a0a1bf0970l,
0x1947f01d9906c19el },
0 },
/* 45 << 120 */
{ { 0x8b979126217c7cd7l,0x65c57a378050067el,0x6a50c6383f34838cl,
0x3de617c29b7bc81fl },
{ 0x58488d24253a0ac7l,0x3fe53ec75520ba0bl,0x9156dca763f0607el,
0xdd08c5705d1fe134l },
0 },
/* 46 << 120 */
{ { 0xbfb1d9e1e33ba77fl,0x0985311ccaef6c01l,0xc8b59e9accca8948l,
0x1256280945416f25l },
{ 0xc90edbc257f53218l,0xcaa08c05125d8fb5l,0x33ea3fd49a1aad3bl,
0x2aa8bd83d005e8bel },
0 },
/* 47 << 120 */
{ { 0xcbd2f1a3c2b22963l,0x0f7bd29c0c8ac2b3l,0xddb932432d405bfdl,
0xeabd4805328413b5l },
{ 0xcc79d31748ebb6b9l,0x09604f831f521aael,0xd3487fdf4c7d188cl,
0xd219c318d1552ea9l },
0 },
/* 48 << 120 */
{ { 0xef4f115c775d6ecel,0x69d2e3bbe8c0e78dl,0xb0264ef1145cfc81l,
0x0a41e9fa1b69788bl },
{ 0x0d9233be909a1f0bl,0x150a84520ae76b30l,0xea3375370632bb69l,
0x15f7b3cfaa25584al },
0 },
/* 49 << 120 */
{ { 0xfc4c623e321f7b11l,0xd36c1066f9cbc693l,0x8165235835dc0c0al,
0xa3ce2e18c824e97el },
{ 0x59ea7cbcc6ff405el,0xced5a94a1e56a1e2l,0x88d744c53ab64b39l,
0x8963d029073a36e7l },
0 },
/* 51 << 120 */
{ { 0x97aa902cb19f3edbl,0x8e605ff9bbf2975bl,0x0536fa8ba6eb299bl,
0xfd96da4f7cd03ac0l },
{ 0x29c5b5b578f9a265l,0x1f025a6d5fd0bc1bl,0x440486ee58e0f8e1l,
0x8f191f7d593e49e9l },
0 },
/* 52 << 120 */
{ { 0xbddf656baea9c13fl,0x083c5d514c678b37l,0x975431b630878ed4l,
0x6de13d4608d9cf1cl },
{ 0xfbb639cc02427c45l,0x6190ca0c5a6cd989l,0x35a6aa26c53f11b7l,
0x73f9e17dddfd86f6l },
0 },
/* 53 << 120 */
{ { 0xd30478a317be7689l,0x6fc3f634e358f7a7l,0x4057ece515688d9fl,
0xb5397495d3d91eefl },
{ 0x62fac49e2f49bde4l,0xeb4a3e1860125c73l,0x15f38be8dabdac55l,
0x18bf29f7d334d52al },
0 },
/* 55 << 120 */
{ { 0xf684162b68777538l,0x3e2a770bbb3381f4l,0x1b7562c1b374577cl,
0x9eec22dc5cf21688l },
{ 0xc35014b1d472be2cl,0xafe2317035f086fbl,0xb9c9c4c9a1491ce1l,
0x2df1e669b56792ddl },
0 },
/* 57 << 120 */
{ { 0xcf7d36fe1830f624l,0x176c3c12ed0474bdl,0x25b802c8f82b493dl,
0x683c2a744c78147el },
{ 0x0db99444f8f3e446l,0x437bcac6800a56c7l,0xb4e592264d08b25fl,
0xcaf1b4142e691ca7l },
0 },
/* 59 << 120 */
{ { 0x378bd47b9d231cafl,0xde3aa2f01f4db832l,0xf609d16ab29bd7d5l,
0x13feab54bdfb54dfl },
{ 0x274abbbc22fc1a12l,0x267febb47d30ef1bl,0xeffa996d80717cd8l,
0x065a86d1118d0812l },
0 },
/* 60 << 120 */
{ { 0xc681a8656a3cb3afl,0x528f25a981751414l,0x6669f07cc7eac946l,
0x9fb3a53f3cc6cc6bl },
{ 0x2919d92a11ae224al,0xa59141110b170a19l,0xdc16c611e2042f16l,
0x58ace12decd4180bl },
0 },
/* 61 << 120 */
{ { 0x689bb1ec107bb59fl,0x8129702adad2b385l,0x10bd3baeb1630603l,
0xaadec5d15f23e7cfl },
{ 0x572f234f4586f7fbl,0x13abdec95ec11b32l,0xa462a7ec6191c26al,
0x4a7d92a06685c8d3l },
0 },
/* 63 << 120 */
{ { 0xdd4e2b63b16628eal,0xdf0c8fc8eefa5e86l,0xb0ec710205662720l,
0x3f4c6956fe81e9dal },
{ 0x5732ad8f52e356f7l,0x045a103968a658f0l,0x9c40b0b6506ba33al,
0x0a426010cb54258dl },
0 },
/* 64 << 120 */
{ { 0x09891641d4c5105fl,0x1ae80f8e6d7fbd65l,0x9d67225fbee6bdb0l,
0x3b433b597fc4d860l },
{ 0x44e66db693e85638l,0xf7b59252e3e9862fl,0xdb785157665c32ecl,
0x702fefd7ae362f50l },
0 },
/* 65 << 120 */
{ { 0x3902ab14c3254641l,0xa63cfd9fd8c001c8l,0x597d155c52d0af3cl,
0xc5a2cbc4a0dbe688l },
{ 0xac8a841b249195aal,0xc98f01aaed14426fl,0xeb4a8ce8353905f1l,
0x4d6668171ecee1b7l },
0 },
/* 71 << 120 */
{ { 0xbd66e7d9a94da8cdl,0x7bc04735801ef314l,0x90f3eba1c5cc2904l,
0x3c7dfed6f71bb36dl },
{ 0x89a50c8da75e3086l,0x88b8b4746f8e3418l,0x26fe17f4a44a5dbdl,
0x98bf74c16a1e24fel },
0 },
/* 77 << 120 */
{ { 0xca7b470679e0db85l,0x7f46c7716fc897fdl,0x9537e7918edfc0f3l,
0xa46d4b4405e91ddfl },
{ 0x97d21061ee5575e7l,0x1f4f32da59650429l,0x2d1d6af878995129l,
0x41d6fc228a0e4260l },
0 },
/* 83 << 120 */
{ { 0xb30a1a89107d2282l,0x5433d7673a5e1323l,0xb9eeab822abdfeafl,
0x9579cb46df3e0dbfl },
{ 0x6fc3ff2c7e088e79l,0x94b32360d7314326l,0xd2e82b59e5ad82e4l,
0x7372dc4a55bc24e3l },
0 },
/* 89 << 120 */
{ { 0x355697215f3c03cbl,0x4150adf2a146edcdl,0x16ec1a421a252e1cl,
0xdf4d0f94424984eal },
{ 0x15142b5f5fabe961l,0xe6a73c29567ec13al,0xe6d370795d12070al,
0x437743d0206fd7c6l },
0 },
/* 95 << 120 */
{ { 0x483b7a95d66bc594l,0xf6a7064e8a6113bbl,0x373ce20f4ed34f72l,
0x6aa876ab24f429b2l },
{ 0x378d5c25412c3102l,0xe4219a97b493199cl,0x01c7cafaa0b37332l,
0x9305cc85f7633f7dl },
0 },
/* 101 << 120 */
{ { 0x0259b43aaadf2273l,0x869c5bd3cf9dc1c2l,0x4f18a6e4068d6628l,
0xd110637fec2d4547l },
{ 0x1ae88a791e94aaddl,0xe8b4be39de64f5f9l,0x85cbd9b24dc6b2bbl,
0xb65091fa1bc352b2l },
0 },
/* 107 << 120 */
{ { 0x7c5cea5d20f6a354l,0xe936ff1582f3ed39l,0x54e7a775b779368el,
0x8ca8a46e3cb17c9el },
{ 0x753ca1fa0138974dl,0x9ce311eba72902ffl,0xcb727e56973f72b6l,
0xde72538d91685710l },
0 },
/* 113 << 120 */
{ { 0xf423569f1bec8f85l,0x23376da5ca844ac4l,0xce7b407a111523f4l,
0x736fb92dde7aa46dl },
{ 0xd9139edcc7662640l,0x520fbf0656a85e24l,0x14e3b5857e5284b5l,
0xcbae4e8321d56ef3l },
0 },
/* 116 << 120 */
{ { 0x69830a05564470a1l,0x1a1e26cf5b702e8el,0xe5fdf7d9d8fae645l,
0xe4774f74a9950c66l },
{ 0x18bdda7cd1466825l,0xe6ab4ce6d115218al,0xfcb8c50064528629l,
0xd705f429e70deed9l },
0 },
/* 119 << 120 */
{ { 0x3f992d7ba99df096l,0x08993b4125e78725l,0x79eaad13117c4cafl,
0x7230594c9fa87285l },
{ 0xac23d7edf2673e27l,0xc9d76fb53b9eb111l,0x7a0a036a9e9db78al,
0x7c6ec39df9565cffl },
0 },
/* 125 << 120 */
{ { 0x956ad1441fd4f7a1l,0x6c511ffecb7546cal,0x11becdaef5ae6ddbl,
0x67587741946168b2l },
{ 0x99cd45edf54379a7l,0x687f8462e2748decl,0x2b2be1e1837bd066l,
0x3862659c0c45a5a9l },
0 },
},
{
/* 0 << 128 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 128 */
{ { 0x62a8c244bfe20925l,0x91c19ac38fdce867l,0x5a96a5d5dd387063l,
0x61d587d421d324f6l },
{ 0xe87673a2a37173eal,0x2384800853778b65l,0x10f8441e05bab43el,
0xfa11fe124621efbel },
0 },
/* 3 << 128 */
{ { 0xc0f734a3b2335834l,0x9526205a90ef6860l,0xcb8be71704e2bb0dl,
0x2418871e02f383fal },
{ 0xd71776814082c157l,0xcc914ad029c20073l,0xf186c1ebe587e728l,
0x6fdb3c2261bcd5fdl },
0 },
/* 4 << 128 */
{ { 0xb4480f0441c23fa3l,0xb4712eb0c1989a2el,0x3ccbba0f93a29ca7l,
0x6e205c14d619428cl },
{ 0x90db7957b3641686l,0x0432691d45ac8b4el,0x07a759acf64e0350l,
0x0514d89c9c972517l },
0 },
/* 5 << 128 */
{ { 0xcc7c4c1c2cf9d7c1l,0x1320886aee95e5abl,0xbb7b9056beae170cl,
0xc8a5b250dbc0d662l },
{ 0x4ed81432c11d2303l,0x7da669121f03769fl,0x3ac7a5fd84539828l,
0x14dada943bccdd02l },
0 },
/* 7 << 128 */
{ { 0x51b90651cbae2f70l,0xefc4bc0593aaa8ebl,0x8ecd8689dd1df499l,
0x1aee99a822f367a5l },
{ 0x95d485b9ae8274c5l,0x6c14d4457d30b39cl,0xbafea90bbcc1ef81l,
0x7c5f317aa459a2edl },
0 },
/* 9 << 128 */
{ { 0x410dc6a90deeaf52l,0xb003fb024c641c15l,0x1384978c5bc504c4l,
0x37640487864a6a77l },
{ 0x05991bc6222a77dal,0x62260a575e47eb11l,0xc7af6613f21b432cl,
0x22f3acc9ab4953e9l },
0 },
/* 10 << 128 */
{ { 0x27c8919240be34e8l,0xc7162b3791907f35l,0x90188ec1a956702bl,
0xca132f7ddf93769cl },
{ 0x3ece44f90e2025b4l,0x67aaec690c62f14cl,0xad74141822e3cc11l,
0xcf9b75c37ff9a50el },
0 },
/* 11 << 128 */
{ { 0x0d0942770c24efc8l,0x0349fd04bef737a4l,0x6d1c9dd2514cdd28l,
0x29c135ff30da9521l },
{ 0xea6e4508f78b0b6fl,0x176f5dd2678c143cl,0x081484184be21e65l,
0x27f7525ce7df38c4l },
0 },
/* 13 << 128 */
{ { 0x9faaccf5e4652f1dl,0xbd6fdd2ad56157b2l,0xa4f4fb1f6261ec50l,
0x244e55ad476bcd52l },
{ 0x881c9305047d320bl,0x1ca983d56181263fl,0x354e9a44278fb8eel,
0xad2dbc0f396e4964l },
0 },
/* 15 << 128 */
{ { 0xfce0176788a2ffe4l,0xdc506a3528e169a5l,0x0ea108617af9c93al,
0x1ed2436103fa0e08l },
{ 0x96eaaa92a3d694e7l,0xc0f43b4def50bc74l,0xce6aa58c64114db4l,
0x8218e8ea7c000fd4l },
0 },
/* 16 << 128 */
{ { 0x6a7091c2e48fb889l,0x26882c137b8a9d06l,0xa24986631b82a0e2l,
0x844ed7363518152dl },
{ 0x282f476fd86e27c7l,0xa04edaca04afefdcl,0x8b256ebc6119e34dl,
0x56a413e90787d78bl },
0 },
/* 17 << 128 */
{ { 0xd1ffd160deb58b9bl,0x78492428c007273cl,0x47c908048ef06073l,
0x746cd0dfe48c659el },
{ 0xbd7e8e109d47055bl,0xe070967e39711c04l,0x3d8869c99c9444f6l,
0x6c67ccc834ac85fcl },
0 },
/* 19 << 128 */
{ { 0x8a42d8b087b05be1l,0xef00df8d3e4e1456l,0x148cc8e8fbfc8cd2l,
0x0288ae4c4878804fl },
{ 0x44e669a73b4f6872l,0xa4a8dbd4aab53c5bl,0x843fa963c9660052l,
0x128e2d2571c05dd2l },
0 },
/* 21 << 128 */
{ { 0x3ea86174a9f1b59bl,0xc747ea076a9a8845l,0x733710b5ab242123l,
0x6381b546d386a60cl },
{ 0xba0e286366a44904l,0x770f618de9db556cl,0x39e567f828fb198dl,
0xb5f1bef040147ee8l },
0 },
/* 23 << 128 */
{ { 0x1adee1d516391617l,0x962d9184a3315fd9l,0x91c229750c805d59l,
0x4575eaf2cd9a1877l },
{ 0x83fef163451831b9l,0x829d6bdd6f09e30fl,0x9379272dcc6b4e6al,
0xd7a049bd95fbee4al },
0 },
/* 25 << 128 */
{ { 0x695f70da44ae09c6l,0x79793892bb99de1dl,0xde269352f696b429l,
0xe37ea97f8104c825l },
{ 0x3166cac6b0e72e63l,0xa82e633ca03ba670l,0x1106e3843e505667l,
0xc2994f3dffb788b6l },
0 },
/* 27 << 128 */
{ { 0xd36a5ab37c53073bl,0xc44a9940ebdc7e35l,0x7dd86c8bf3ded136l,
0x9fe9879fd5a0eb14l },
{ 0xa210726c9b99bf9cl,0x3faf4456861036afl,0x1661f1c9615d091al,
0x2c63f630911551bcl },
0 },
/* 28 << 128 */
{ { 0x1554d46da670ff1dl,0x24833d88cb97a1ccl,0x8fa6ab3cded97493l,
0x215e037189926498l },
{ 0x549bd592e56d74ffl,0x58a8caf543b5e1ecl,0x3c6087a323e93cb9l,
0x8b0549875648b83cl },
0 },
/* 29 << 128 */
{ { 0x232974230554f94fl,0x4f445a380f3a7618l,0xb9fb40bee4abefd6l,
0xfbf3eaf9c15eb07cl },
{ 0xed469c23aca0c8b3l,0xc5209f68846e3f8fl,0x33d51d13d75da468l,
0x9406e10a3d5c6e29l },
0 },
/* 31 << 128 */
{ { 0xb9a44b1f5c6cad21l,0xaa9947751ee60a83l,0xc89af3858c390401l,
0xef1e450b8dd51056l },
{ 0x5f5f069879ac84d1l,0x68d82982ef57b1afl,0x31f1d90f50849555l,
0xff9577e57d9fc8f6l },
0 },
/* 33 << 128 */
{ { 0xaeebc5c0b430d6a1l,0x39b87a13dc3a9c04l,0xf0c445252db4a631l,
0xe32d95482c66fcf6l },
{ 0x16f11bafb17849c4l,0xdd1c76615eca71f7l,0x4389ad2e32e6c944l,
0x727c11a5889a06bbl },
0 },
/* 34 << 128 */
{ { 0x38dd1ac021e5781al,0x578318dbfd019ee2l,0x096b677d5f88e574l,
0xdbec82b216ad9f4fl },
{ 0x348debe23260e8d9l,0x9334126064dfcda1l,0xdc5fb34cefc8faael,
0x5fa048beb4a6fc25l },
0 },
/* 35 << 128 */
{ { 0xe18806fd60b3258cl,0xb7d2926b1364df47l,0xe208300fa107ce99l,
0x8d2f29fe7918df0el },
{ 0x0b012d77a1244f4cl,0xf01076f4213a11cfl,0x8e623223181c559dl,
0x9df196ee995a281dl },
0 },
/* 36 << 128 */
{ { 0xc431a238013ff83bl,0x7c0018b2fad69d08l,0x99aeb52a4c9589eal,
0x121f41ab9b1cf19fl },
{ 0x0cfbbcbaef0f5958l,0x8deb3aeb7be8fbdcl,0x12b954081f15aa31l,
0x5acc09b34c0c06fdl },
0 },
/* 37 << 128 */
{ { 0xfaa821383a721940l,0xdd70f54dd0008b83l,0x00decb507d32a52dl,
0x04563529cdd87deal },
{ 0xb0e7e2a2db81643dl,0x445f4c383a6fef50l,0x5c0ef211df694ae1l,
0xa5a8fead923d0f1cl },
0 },
/* 39 << 128 */
{ { 0xbc0e08b0325b2601l,0xae9e4c6105815b7al,0x07f664faf944a4a1l,
0x0ad19d29288f83b3l },
{ 0x8615cd677232c458l,0x98edff6e9038e7d1l,0x082e0c4395a4dfccl,
0x336267afeceee00el },
0 },
/* 40 << 128 */
{ { 0x775cbfa86d518ffbl,0xdecee1f6930f124bl,0x9a402804f5e81d0fl,
0x0e8225c52a0eeb2fl },
{ 0x884a5d39fee9e867l,0x9540428ffb505454l,0xb2bf2e20107a70d1l,
0xd9917c3ba010b2aal },
0 },
/* 41 << 128 */
{ { 0xc88ad4452a29bfdel,0x3072ebfa998368b7l,0xa754cbf7f5384692l,
0x85f7e16906b13146l },
{ 0x42a7095f6a549fbel,0xef44edf91f7f1f42l,0xbea2989737b0c863l,
0x13b096d87a1e7fc3l },
0 },
/* 43 << 128 */
{ { 0x51add77ce2a3a251l,0x840ca1384d8476adl,0x08d01d26f6096478l,
0x10d501a532f1662bl },
{ 0xc8d63f811165a955l,0x587aa2e34095046al,0x759506c617af9000l,
0xd6201fe4a32ab8d2l },
0 },
/* 44 << 128 */
{ { 0xa98f42fa3d843d53l,0x33777cc613ef927al,0xc440cdbecb84ca74l,
0x8c22f9631dc7c5ddl },
{ 0x4bc82b70c8d94708l,0x7e0b43fcc814364fl,0x286d4e2486f59b7el,
0x1abc895e4d6bf4c4l },
0 },
/* 45 << 128 */
{ { 0x7c52500cfc8c9bbdl,0x635563381534d9f7l,0xf55f38cbfd52c990l,
0xc585ae85058f52e7l },
{ 0xb710a28bf9f19a01l,0x891861bdf0273ca4l,0x38a7aa2b034b0b7cl,
0xa2ecead52a809fb1l },
0 },
/* 46 << 128 */
{ { 0x3df614f1ec3ca8eal,0x6bb24e9f9505bc08l,0x23ba1afbf37ace22l,
0x2e51b03b3463c261l },
{ 0x59a0fca9c39e6558l,0x819f271ca342ccd9l,0x0c913d54df7ac033l,
0xba0f83de573257d3l },
0 },
/* 47 << 128 */
{ { 0xdf62817ab3b32fbcl,0x616d74b0964670d4l,0xa37bc6270e26020bl,
0xda46d655b7d40bdal },
{ 0x2840f155b5773f84l,0xbb633777897774b6l,0x59ff1df79a1ed3fal,
0xf7011ee2bac571f9l },
0 },
/* 48 << 128 */
{ { 0x38151e274d559d96l,0x4f18c0d3b8db6c01l,0x49a3aa836f9921afl,
0xdbeab27b8c046029l },
{ 0x242b9eaa7040bf3bl,0x39c479e51614b091l,0x338ede2b0e4baf5dl,
0x5bb192b7f0a53945l },
0 },
/* 49 << 128 */
{ { 0xd612951861535bb0l,0xbf14364016f6a954l,0x3e0931eedde18024l,
0x79d791c8139441c0l },
{ 0xba4fe7ecb67b8269l,0x7f30d848224b96c1l,0xa7e0a6abf0341068l,
0x78db42c37198ea2dl },
0 },
/* 51 << 128 */
{ { 0x13354044185ce776l,0x109a6e059ff0100cl,0xafa3b61b03144cb1l,
0x4e4c814585265586l },
{ 0xa8dafd33edb35364l,0x6691781bfd2606bel,0x2e06a9786182f5ccl,
0x588784ebe77faeecl },
0 },
/* 52 << 128 */
{ { 0x896d572337e440d7l,0x685c5fd9ade23f68l,0xb5b1a26dc2c64918l,
0xb9390e30dad6580cl },
{ 0x87911c4e7dee5b9bl,0xb90c5053deb04f6el,0x37b942a18f065aa6l,
0x34acdf2a1ca0928dl },
0 },
/* 53 << 128 */
{ { 0xc773f525606f8f04l,0x75ae4a4b41b0a5bbl,0xb2aa058eaf7df93cl,
0xf15bea4feafed676l },
{ 0xd2967b236a3c4fd7l,0xa698628090e30e7fl,0xf1b5166d316418bdl,
0x5748682e1c13cb29l },
0 },
/* 55 << 128 */
{ { 0xe7b11babfff3605bl,0xdbce1b74cbac080fl,0xa0be39bd6535f082l,
0x2b6501805f826684l },
{ 0xf90cea2400f5244fl,0xe279f2fadd244a1cl,0xd3fca77c9421c3ael,
0xe66bc7ee81a5210al },
0 },
/* 57 << 128 */
{ { 0x114085dac40c6461l,0xaf78cb47f47d41b8l,0x7a9ae851755b0adbl,
0x8d2e8c66a0600b6dl },
{ 0x5fb19045389758c0l,0xfa6e2cdabe7c91b2l,0x6472a432663983a2l,
0xc9370829e0e19363l },
0 },
/* 59 << 128 */
{ { 0xd335856ec50bf2ffl,0x89b42295dfa708c2l,0x5dfb42241b201b4el,
0x6c94d6b94eecbf9cl },
{ 0xabe5a47a7a634097l,0xf3d53b1643febecfl,0xff18619faca9846el,
0x80ad8629a4066177l },
0 },
/* 60 << 128 */
{ { 0x7872e34b3390ff23l,0x968ce4abde7d18efl,0x9b4a745e627fe7b1l,
0x9607b0a0caff3e2al },
{ 0x1b05818eeb40e3a5l,0x6ac62204c0fa8d7al,0xb5b9058571ed4809l,
0xb2432ef0f7cb65f2l },
0 },
/* 61 << 128 */
{ { 0xc1203418f8a144b7l,0xb3413f808378f901l,0xf6badea161857095l,
0xcd2816c2b2e93efel },
{ 0x6a8303ea174a0ee6l,0x98b62f29150b28b6l,0x68071bbc9c2a05b6l,
0xcfcf41a39f00e36el },
0 },
/* 63 << 128 */
{ { 0xcaf564f234d6bc29l,0x9e9a6507f3c8edb0l,0x2fb889edd4e5502el,
0xb70d4ceb6cc9d8edl },
{ 0x0de25356b020f740l,0xa68d9263d11fe5e6l,0xe86400679d85dd77l,
0xa95dfa7dec2c8c8dl },
0 },
/* 64 << 128 */
{ { 0x715c9f973112795fl,0xe8244437984e6ee1l,0x55cb4858ecb66bcdl,
0x7c136735abaffbeel },
{ 0x546615955dbec38el,0x51c0782c388ad153l,0x9ba4c53ac6e0952fl,
0x27e6782a1b21dfa8l },
0 },
/* 65 << 128 */
{ { 0x3f9bc63ece59397dl,0x3f0f98a93eaa6104l,0x2f82c37c002d9271l,
0x6ac0495d4985353cl },
{ 0xbde52f629191527bl,0xa3a13fce475aa640l,0x1d71ae17ce673f89l,
0x2b5cc61529120ec1l },
0 },
/* 71 << 128 */
{ { 0xa0ab0f9924318c1cl,0x0cc5ca7da80ca60bl,0x24e27598abb965bal,
0xc4863198b44d1351l },
{ 0x4d913783a28f04bel,0x404e78088cce8960l,0x2973b4e46286873el,
0x7b6e0f3219f42b50l },
0 },
/* 77 << 128 */
{ { 0x0091a786306a6349l,0x4640ceab2098622dl,0x9928022be8182233l,
0xf261bee4514d0bedl },
{ 0x70cdcc44c5f64fedl,0x4e19fec4f9eb2dfel,0xd05bdc09058b0b69l,
0x16f3007ed3bc6190l },
0 },
/* 83 << 128 */
{ { 0x8f7f16957f136df1l,0x6d7547019b4f4215l,0xfb22d55eb4cc46a6l,
0x0b53ef53a8563034l },
{ 0x8b105acc42bc9353l,0xe44c0a396079d59dl,0x78441fee35ee38ddl,
0x87ad93e43dcc0119l },
0 },
/* 89 << 128 */
{ { 0x98a1c55358d9f73al,0xaa0843f0540e2b91l,0x701f8831d0647459l,
0xc4ae9d0484673005l },
{ 0x9c37bc9f30b3ea20l,0x24cb4e2dbcbfb2b2l,0x8513e6f313cbf070l,
0x0c4db4334e76c79el },
0 },
/* 95 << 128 */
{ { 0x882a2b9cbc8320b8l,0x16e9c11e3ad9e222l,0x24399ac19b23cb1dl,
0x334c5496799a89c7l },
{ 0x72b6f9b8df3d774cl,0x42955bcbb11b6704l,0x3c4d6021ad2d4eafl,
0x5416b309afe2b671l },
0 },
/* 101 << 128 */
{ { 0x1bbe9e662bf7c2a6l,0x22a3a10ca4acfddbl,0x2424eaab46bae581l,
0xebec1bbf40d6bdadl },
{ 0xd7e3fa1a5b012aedl,0xc0f82c23f1dc6204l,0x42787c82e319477dl,
0xca1ae7a14cf57573l },
0 },
/* 107 << 128 */
{ { 0x44b7d589d51bbde9l,0x15de755fd6a4cc98l,0x9b6ea8e582fb8e2el,
0x9d9294f04332bc22l },
{ 0x53c6b2b7d1fa239al,0x286bf536693ca4f1l,0xc3fa754603c00f65l,
0xc046713af49cdb48l },
0 },
/* 113 << 128 */
{ { 0xe356f5f11d82d5d6l,0xa0346a73d035ca0cl,0x14c76adee1884448l,
0xd8369bdd1c23dde9l },
{ 0x13017862fe025eafl,0x6b5ac5e9a76be1d7l,0x52d621a94933bb6el,
0xb045b53baa8c1d3fl },
0 },
/* 116 << 128 */
{ { 0x242da39e4e40466al,0xc03cb184ac322b07l,0x776b744f9aaa10bfl,
0xb80d9f14fe7d4beal },
{ 0x75cd14308f9c4908l,0xa4e59ce9087b3d7al,0x3bbdce598cdca614l,
0x58c57113bc1a5df1l },
0 },
/* 119 << 128 */
{ { 0x2a70af1abd79d467l,0x68dc4f23f63e2b73l,0x4345572f1f67b23dl,
0xc012b08f3a340718l },
{ 0x9458585cc963dbe2l,0x21d84032223a495cl,0x0d54a4ea0dc28159l,
0xd9549e2c9b927dafl },
0 },
/* 125 << 128 */
{ { 0xcd54ebd2d43c8cd2l,0x5ff4ded6a817b9f9l,0x6f59bc31245386d3l,
0x65b67cb0a2077821l },
{ 0x36407956405ffa07l,0x723e0252d589f27al,0x052004b888e1239el,
0x8e6d188d69fdf94dl },
0 },
},
{
/* 0 << 136 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 136 */
{ { 0xc16c236e846e364fl,0x7f33527cdea50ca0l,0xc48107750926b86dl,
0x6c2a36090598e70cl },
{ 0xa6755e52f024e924l,0xe0fa07a49db4afcal,0x15c3ce7d66831790l,
0x5b4ef350a6cbb0d6l },
0 },
/* 3 << 136 */
{ { 0xe2a37598a9d82abfl,0x5f188ccbe6c170f5l,0x816822005066b087l,
0xda22c212c7155adal },
{ 0x151e5d3afbddb479l,0x4b606b846d715b99l,0x4a73b54bf997cb2el,
0x9a1bfe433ecd8b66l },
0 },
/* 4 << 136 */
{ { 0xe13122f3dbfb894el,0xbe9b79f6ce274b18l,0x85a49de5ca58aadfl,
0x2495775811487351l },
{ 0x111def61bb939099l,0x1d6a974a26d13694l,0x4474b4ced3fc253bl,
0x3a1485e64c5db15el },
0 },
/* 5 << 136 */
{ { 0x5afddab61430c9abl,0x0bdd41d32238e997l,0xf0947430418042ael,
0x71f9addacdddc4cbl },
{ 0x7090c016c52dd907l,0xd9bdf44d29e2047fl,0xe6f1fe801b1011a6l,
0xb63accbcd9acdc78l },
0 },
/* 7 << 136 */
{ { 0x0ad7337ac0b7eff3l,0x8552225ec5e48b3cl,0xe6f78b0c73f13a5fl,
0x5e70062e82349cbel },
{ 0x6b8d5048e7073969l,0x392d2a29c33cb3d2l,0xee4f727c4ecaa20fl,
0xa068c99e2ccde707l },
0 },
/* 9 << 136 */
{ { 0x5b826fcb1b3ec67bl,0xece1b4b041356616l,0x7d5ce77e56a3ab4fl,
0xf6087f13aa212da0l },
{ 0xe63015054db92129l,0xb8ae4c9940407d11l,0x2b6de222dfab8385l,
0x9b323022b7d6c3b4l },
0 },
/* 10 << 136 */
{ { 0x057ef17a5ae6ad84l,0x9feae00b293a6ae0l,0xd18bb6c154266408l,
0xd3d3e1209c8e8e48l },
{ 0xba8d4ca80e94fc8fl,0x80262ffc8a8ea0fel,0xac5b2855f71655fdl,
0xa348f8fae9aced89l },
0 },
/* 11 << 136 */
{ { 0x60684b69a5660af3l,0x69aad23b9066d14bl,0x4d9f9b49fa4d020al,
0xafb54ec1b5cd6a4al },
{ 0x2b25fe1832fd864dl,0xee6945062b6b64d0l,0x954a2a515001d8aal,
0x5e1008557082b5b3l },
0 },
/* 13 << 136 */
{ { 0x20ecf71cbc90eb1bl,0x4234facf651c1df4l,0xc720fce9e681f678l,
0x680becdda7c007f4l },
{ 0x7c08dc063181afeal,0x75c1b050a34eca91l,0x7d3479d54b9e2333l,
0xed16640af3951aa3l },
0 },
/* 15 << 136 */
{ { 0x911b596264723e54l,0x34384f8c004b327cl,0x06ca5c61b85435f2l,
0x12e0cd25e2c1075cl },
{ 0xa4b84cb8ac727394l,0x50bd720492b352c1l,0xe85524a49cbd0fb4l,
0x10b9274be7876024l },
0 },
/* 16 << 136 */
{ { 0xef0a3fecfa181e69l,0x9ea02f8130d69a98l,0xb2e9cf8e66eab95dl,
0x520f2beb24720021l },
{ 0x621c540a1df84361l,0x1203772171fa6d5dl,0x6e3c7b510ff5f6ffl,
0x817a069babb2bef3l },
0 },
/* 17 << 136 */
{ { 0xb7cf93c3aace2c6al,0x017a96e658ff1bbfl,0x3b401301624a8250l,
0xf5ef158529266518l },
{ 0x3c968bef7585838dl,0x8e97d023853191abl,0x175022e4f6823389l,
0xb6a3bfc2f6a9b4c1l },
0 },
/* 19 << 136 */
{ { 0x515acf174591d77el,0xb393c89e3c3b25b6l,0x291e068e9c95abd7l,
0x256b72c046c02544l },
{ 0x8172af03915ea92fl,0xc1b324ae4fcd0f03l,0x8abc779215108993l,
0xe05fe6867ab815ael },
0 },
/* 21 << 136 */
{ { 0xca08d4095bc42740l,0xdd2c19d3e26e2e60l,0x27afdeded7c091fal,
0x3b943b0faf25cb22l },
{ 0x400af8be026047e9l,0x3149b35f772b8ff9l,0x3ddb2c06f17229d9l,
0xcd604aeadac152fcl },
0 },
/* 23 << 136 */
{ { 0xea2275311c0f6803l,0x9ae82d5ea394cc08l,0xc107a2cfbe32080cl,
0x550f35a76429f6d7l },
{ 0x483c94dacfb70c0cl,0xf26f8e5d90190c94l,0x8574b3cf86bf2620l,
0xe7258e45df9f482fl },
0 },
/* 25 << 136 */
{ { 0x8f8dc582da46f1cfl,0x61d76cf91e1e7427l,0x8aceb48b306c84aal,
0xecaa142f28ebff98l },
{ 0xac5bd940401d80fel,0x0caacb8fe800cf9el,0x99068da9b3359af5l,
0x92fdd5795225b8c0l },
0 },
/* 27 << 136 */
{ { 0x5a29d1c5ab56a3fbl,0x4e46ffc0a9aab4afl,0xa210472624d83080l,
0xb5820998007f08b6l },
{ 0x9ce1188e4bc07b3el,0xbf6d0dbe32a19898l,0x5d5c68ea5b2350bal,
0xd6c794eb3aa20b45l },
0 },
/* 28 << 136 */
{ { 0x3de605ba9ec598cfl,0x1933d3ae4d3029ael,0x6bf2fabd9b140516l,
0x712dfc5559a7d01cl },
{ 0xff3eaae0d2576366l,0x36e407f948701cf8l,0xede21d89b41f4bd4l,
0xc5292f5c666eefa9l },
0 },
/* 29 << 136 */
{ { 0x30045782c3ebcd77l,0xaa0cf3c73fdbe72el,0x719ec58ef8f43b39l,
0x9716fb9972574d3al },
{ 0x300afc2b0d03ccd6l,0xb60016a34f3fac41l,0x8898910ea3a439f6l,
0xdc00a99707ca11f5l },
0 },
/* 31 << 136 */
{ { 0x291b15ee8ed34662l,0xb780d54b2ee422a7l,0x5b9e3788fcfe4ccbl,
0x4554cb8cbe8b7c3al },
{ 0xfdaccc2209a85a7fl,0x51f4a8ec555497edl,0x07dc69037da33505l,
0xa3bc8bfcbc1fc1dbl },
0 },
/* 33 << 136 */
{ { 0x661638c151e25257l,0x0a6fd99c53304974l,0x29d8ae165078eec6l,
0xed7512ad447b73del },
{ 0x0e21de607a4d0e9bl,0x842abd422462be01l,0x3be82afa5cddc709l,
0x25bb9da99b52797dl },
0 },
/* 34 << 136 */
{ { 0x80613af28adc986al,0x4602284935776a41l,0x17d33e0f4665d03cl,
0xeb12eb6c0df12b50l },
{ 0x0f0effa0ee41527fl,0x8ca2edb680531563l,0x4c354679f28c52c3l,
0x67f1ba5c2f6df66dl },
0 },
/* 35 << 136 */
{ { 0x9c27207a2479fb3fl,0xef6e0f13515fb902l,0x3f7ad9e9d0d9436el,
0x36eb4ea5893bbcf5l },
{ 0x5c53a2ac02b316b7l,0x10c75ee1f54f7585l,0x29e5879c3c7a4c1bl,
0x77da3c82f29c67d6l },
0 },
/* 36 << 136 */
{ { 0xf2b75d21ef78a852l,0xba38cd34dd31a900l,0x72b3a68658ffe18al,
0x7464190cbfd95745l },
{ 0x406e532177ed6e81l,0x1af0975bde535eabl,0x66ba22c760c54c82l,
0x88e3b1ceb00a2fe0l },
0 },
/* 37 << 136 */
{ { 0xb6099b7df7e5c69bl,0x84aa1e26ba34ee2fl,0x5952600405c338bbl,
0xe9a134374951a539l },
{ 0xb12276526ec196bdl,0x26a7be264b6dce36l,0x052e10a4e2a68458l,
0x475fc74c1f38898bl },
0 },
/* 39 << 136 */
{ { 0x120167fc0a3eb4e1l,0xaa94bc70c0c21204l,0x313cd835e1243b75l,
0x3bb63fb20bfd6a4al },
{ 0xa615dcae21ef05cfl,0x63774c2ec23c3ee5l,0x39365b1fed0dfd65l,
0xb610e6ff5d2a2d7dl },
0 },
/* 40 << 136 */
{ { 0x55b7f977f0337b15l,0x3bc872a30e94973al,0x624ad983770deea0l,
0xcaab336413a5efdbl },
{ 0x391dd0027a0d4247l,0x39590d5df312aed5l,0x532802c9351365acl,
0xdd2e824578a2e22al },
0 },
/* 41 << 136 */
{ { 0x81b0d7be7f774fb8l,0x62f32bb3aa412425l,0xbe7afe26bbcd2162l,
0xa6ce167c53c7fa7dl },
{ 0x8deca64fc5c4fc5bl,0x70e546aba6efd2fel,0xf2d8495987ff672al,
0x2ca551f249c3059el },
0 },
/* 43 << 136 */
{ { 0x40b62d528eb99155l,0xe6b048947420a7e0l,0x9ebecb2bc685e58al,
0x3ea642d8d3c8d2cbl },
{ 0x5340ac6ed489d0dfl,0xf3846d08c2b7588el,0x4cecd8a0611c289bl,
0xdddc39c50dd71421l },
0 },
/* 44 << 136 */
{ { 0x98c6a6a52ebee687l,0xcdf65bfa56c1c731l,0x48e8132772def210l,
0x4ea119418083b5a5l },
{ 0x3fdcea4fffebb525l,0x55aaea19fb50bf72l,0x5fbedc0a2a85b40cl,
0x0d6fd954bf44f29fl },
0 },
/* 45 << 136 */
{ { 0x83a8302a9db4071el,0x52f104436f8ae934l,0x96de829d175b800al,
0x20ff5035373e97cel },
{ 0xf58660185f65356al,0x992c15054c8cd782l,0x0b962c8eb57d727fl,
0xe8a9abc92bba8bc7l },
0 },
/* 46 << 136 */
{ { 0x81a85ddd7cf2b565l,0x5e51e6afc34a0305l,0xa8d94ccefbc89faal,
0x2bfd97c1e68cd288l },
{ 0x16d79c21af2958b8l,0x5e5d989defda7df8l,0x6d2f0ca6ff734c8al,
0xfa5b8dd32cc9bafel },
0 },
/* 47 << 136 */
{ { 0x5787a9934e6ed688l,0x6815f3b5aab42f46l,0x7960f45b093c6c66l,
0xb2b9829728be10cfl },
{ 0x1d4c7790296568cdl,0xa279a877f048e194l,0xcf7c20f4c6a58b4el,
0xf0c717afa1f9c00fl },
0 },
/* 48 << 136 */
{ { 0x8a10b53189e800cal,0x50fe0c17145208fdl,0x9e43c0d3b714ba37l,
0x427d200e34189accl },
{ 0x05dee24fe616e2c0l,0x9c25f4c8ee1854c1l,0x4d3222a58f342a73l,
0x0807804fa027c952l },
0 },
/* 49 << 136 */
{ { 0x79730084ba196afcl,0x17d38e98054bd539l,0xc5cfff3918583239l,
0x4b0db5a2d9adbee6l },
{ 0x9bc9f1e3c2a304e8l,0xbaa61de7de406fa8l,0x8e921ca9e4bec498l,
0xd9f4e5ae6604ab02l },
0 },
/* 51 << 136 */
{ { 0xdf6b97b5b37f2097l,0x7576c3f9b4a5d2b9l,0x6eb697ed3588cabbl,
0x4d75b38622598d8fl },
{ 0x4e6d93b522ff55e8l,0x4620ec635b8f7edal,0xd5006209f97b7749l,
0x9e22e3a84da8b464l },
0 },
/* 52 << 136 */
{ { 0xbabfb7f82e8f326fl,0xed9cac225625a519l,0xf1109c1a0edae0a9l,
0x45f80a9858521259l },
{ 0x37a44b075ab71f44l,0x21699eb64a21161bl,0xb523fddf56fe67eel,
0x9f5c3a2120b9f72el },
0 },
/* 53 << 136 */
{ { 0x12c1131508b75673l,0xfa20121823b096d6l,0x839f01aeeacd6537l,
0x0e592be787df32cal },
{ 0xfe3f65ff8b7dd0fcl,0xed09b4875c1d9a80l,0x8c09dd97b79786d8l,
0x74eba2806c5bc983l },
0 },
/* 55 << 136 */
{ { 0xf917704862987b50l,0xcc84cdc6bc4ac456l,0x8bd2c922ae08fe12l,
0x09d5f661fc2d06c7l },
{ 0xd10ac6dd9457d47fl,0x65aa30a23668060cl,0x33cddac6745161fcl,
0xf4c18b5ea51e540fl },
0 },
/* 57 << 136 */
{ { 0x591c064ede723c1fl,0x92e5d4e601a4adael,0x3d7ee8a3145716ecl,
0x0ef4c62061727816l },
{ 0x0e17c576f1bf6d6el,0x173104015ae18045l,0xdad620aae9589b75l,
0xb10c7e2d0eda4905l },
0 },
/* 59 << 136 */
{ { 0xb8020f16aa08df6fl,0x03cf58ffd67054e9l,0x302e003c11fe3d1al,
0x9c194bc1c638a3ecl },
{ 0x8ed3cb3adefd3f1el,0xc4115e079bf39de4l,0x8dece48bdf46fdf6l,
0xebd1dbcf30eafeafl },
0 },
/* 60 << 136 */
{ { 0x058eb276fba319c5l,0xd33a91127f7fa54al,0xf060c1b4932a2dabl,
0xce3a224e79c7d9bfl },
{ 0x6fb0388c0ba92823l,0x8d31738a69787881l,0x2d86eb0203cd00b7l,
0x4e6e44512b69911bl },
0 },
/* 61 << 136 */
{ { 0xff2efe1cfdcca1cfl,0x08f22c69b5bb71e3l,0xc63f4a9f7023076el,
0x88fb2aa0ce0c490el },
{ 0xcc7c97f91f77783cl,0x360026d942ab36b7l,0x547c34ecefd68f70l,
0xebe7f99efbabfdabl },
0 },
/* 63 << 136 */
{ { 0xe7c1c1788613e87al,0xb035d65e60b82654l,0x055a82d03583a254l,
0x27ce1ffc9b3b22fal },
{ 0x0cf904917ec83cd5l,0xfc6c21805604aa40l,0x1330604099357428l,
0x9b0982f9ad4818b7l },
0 },
/* 64 << 136 */
{ { 0xc222653a4f0d56f3l,0x961e4047ca28b805l,0x2c03f8b04a73434bl,
0x4c966787ab712a19l },
{ 0xcc196c42864fee42l,0xc1be93da5b0ece5cl,0xa87d9f22c131c159l,
0x2bb6d593dce45655l },
0 },
/* 65 << 136 */
{ { 0x3a6080d9fb56bc3al,0xf1552dcad6212d7el,0x977ac5b59420f4f6l,
0xef914d370e3cd97fl },
{ 0x807bd6e69c04f768l,0x743a7b552bb803f6l,0x7f5c20804215f4b0l,
0x41e331288fc6ce42l },
0 },
/* 71 << 136 */
{ { 0x5a31c9ac61e6a460l,0x55102e4093e7eeddl,0x969fe0612da6adcel,
0xe8cddc2f3ffea1d9l },
{ 0xaa26c6b1f0f327c5l,0x9e5b63743544f5e1l,0x5159fa1ddbaa685bl,
0x9892d03aa7f44b99l },
0 },
/* 77 << 136 */
{ { 0x4dfcbf12e2c6fc1fl,0x703f2f5b7535ac29l,0x78f8617e82f7dc0fl,
0x54b835ff853e792dl },
{ 0x3cc7f000df9f7353l,0x0d7ffd68db5a157al,0x2c1c33691672b21cl,
0x694b4904ac970ef8l },
0 },
/* 83 << 136 */
{ { 0xd655bc42c1d2c45cl,0x572f603cbd22b05fl,0xa7fbf09388e4531al,
0x8d38bbd91fdde98dl },
{ 0x16cc2aaa73b0fa01l,0x515019a25e8ffb04l,0xb075990611e792ccl,
0x89df06f399112c90l },
0 },
/* 89 << 136 */
{ { 0x26d435c2481b46dal,0x73ab7e96266e9b3al,0x22d5b1db3c613c40l,
0x9de4021c6727e399l },
{ 0x451ebba56051f8c9l,0xa37f6ec52c281a58l,0x3d7a28fe0e9f4cc5l,
0x0f45bcd655b64df7l },
0 },
/* 95 << 136 */
{ { 0xba2a718c66616fbel,0x4b27810b3369a9acl,0x50b8391a2b426d5fl,
0x420c88efa626fa05l },
{ 0xe39cef97b9c39a30l,0xcae7cde85e67e5d0l,0x3821f8319a58e521l,
0xbf474d1941479509l },
0 },
/* 101 << 136 */
{ { 0x401bbab58fb15118l,0xb0376892dbf38b39l,0x10e4b9dd3a3ca42al,
0xa69c2693f8063ffel },
{ 0xe10facdde07cb761l,0x96f4dde831d7759al,0xd702fdecc2cc7f9fl,
0x9e87e46e1ac0162cl },
0 },
/* 107 << 136 */
{ { 0xb6cd60518479ca8fl,0xcca345e60968f6c7l,0x7b57248a64a9afe7l,
0x5552e3511d0d4db9l },
{ 0x8f749b199dc68aabl,0x0fb86f06db1f7819l,0x23b300963143ac09l,
0x61c166d8abfbcb9bl },
0 },
/* 113 << 136 */
{ { 0x4c96e85a43101165l,0x393a882fcf39bd19l,0xef9e1d42c2df6f33l,
0xe1775c990278f088l },
{ 0xb1581929a9250d4al,0x582b0608c4168873l,0x0b3ffba3a1e68cd8l,
0x3f78147ef9490897l },
0 },
/* 116 << 136 */
{ { 0x277b5177eb18ff20l,0x48002e9828f06d62l,0xece8d6c30e506d8dl,
0x5cde0a58cd9ff963l },
{ 0x3b97cdb74e3baa0el,0x50560c0b631238f9l,0xe1c31b35cf79793dl,
0x95d12f14355e2178l },
0 },
/* 119 << 136 */
{ { 0x0143f695bcc31b77l,0x3627aed14c49b65al,0x6e4f7a9ce441c183l,
0xb708c79de1bfa0a3l },
{ 0xdbf0fc313a0726b8l,0xe04d82a8852d78bbl,0xb859001e3be5d398l,
0x92dcc20c8e89bd11l },
0 },
/* 125 << 136 */
{ { 0x5f2416a3df9026b4l,0xffc01f3afcb29a1bl,0x18d02c9f1d94b20fl,
0xd93b0f2f81cfdef3l },
{ 0xe6b0fd4713adf5f2l,0xcc9067b7ba06dff3l,0xb48c0cbb2256f842l,
0xc2ae741dfd34df2fl },
0 },
},
{
/* 0 << 144 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 144 */
{ { 0x80531fe1c63c4962l,0x50541e89981fdb25l,0xdc1291a1fd4c2b6bl,
0xc0693a17a6df4fcal },
{ 0xb2c4604e0117f203l,0x245f19630a99b8d0l,0xaedc20aac6212c44l,
0xb1ed4e56520f52a8l },
0 },
/* 3 << 144 */
{ { 0x18f37a9c6bdf22dal,0xefbc432f90dc82dfl,0xc52cef8e5d703651l,
0x82887ba0d99881a5l },
{ 0x7cec9ddab920ec1dl,0xd0d7e8c3ec3e8d3bl,0x445bc3954ca88747l,
0xedeaa2e09fd53535l },
0 },
/* 4 << 144 */
{ { 0xa12b384ece53c2d0l,0x779d897d5e4606dal,0xa53e47b073ec12b0l,
0x462dbbba5756f1adl },
{ 0x69fe09f2cafe37b6l,0x273d1ebfecce2e17l,0x8ac1d5383cf607fdl,
0x8035f7ff12e10c25l },
0 },
/* 5 << 144 */
{ { 0xb7d4cc0f296c9005l,0x4b9094fa7b0aebdbl,0xe1bf10f1c00ec8d4l,
0xd807b1c4d667c101l },
{ 0xa9412cdfbe713383l,0x435e063e81142ba1l,0x984c15ecaf0a6bdcl,
0x592c246092a3dab9l },
0 },
/* 7 << 144 */
{ { 0x9365690016e23e9dl,0xcb220c6ba7cc41e1l,0xb36b20c369d6245cl,
0x2d63c348b62e9a6al },
{ 0xa3473e19cdc0bcb5l,0x70f18b3f8f601b98l,0x8ad7a2c7cde346e4l,
0xae9f6ec3bd3aaa64l },
0 },
/* 9 << 144 */
{ { 0x030223503274c7e1l,0x61ee8c934c4b6c26l,0x3c4397e3199389cel,
0xe0082600488757cel },
{ 0xaac3a2df06b4dafbl,0x45af0700ddff5b6al,0x0a5974248c1d9fa0l,
0x1640087d391fc68bl },
0 },
/* 10 << 144 */
{ { 0x26a43e41d07fa53dl,0x3154a78a74e35bc5l,0x7b768924e0da2f8cl,
0xba964a2b23613f9al },
{ 0x5a548d35ba1d16c4l,0x2e1bfed1fb54d057l,0xff992136bc640205l,
0xf39cb9148156df29l },
0 },
/* 11 << 144 */
{ { 0xf4873fcf4e5548bdl,0x8725da3f03ce57f0l,0xd82f5c95ca953258l,
0xac647f127cf0747el },
{ 0xff2038b02d570bd5l,0xb0c2a767a13ae03fl,0xebaa27cde9932d16l,
0xa686e3fc1234e901l },
0 },
/* 13 << 144 */
{ { 0x9f80435e63261eccl,0x6302a62e4337d6c9l,0x91916a49ca4958a0l,
0x554958993149d5d3l },
{ 0x378d020b9f91de3cl,0x47b839a34dd25170l,0x2825854138b7f258l,
0xea5b14f7437e7decl },
0 },
/* 15 << 144 */
{ { 0x74f08736b0018f44l,0xf4a03417b446d0f5l,0x66a4aa2fa40ca6b2l,
0x215679f0badb60edl },
{ 0x3871195a323e4eefl,0x8f0940c320952b16l,0xfe8dac62879d5f7dl,
0x649cb623c1a6e875l },
0 },
/* 16 << 144 */
{ { 0xecaff541338d6e43l,0x56f7dd734541d5ccl,0xb5d426de96bc88cal,
0x48d94f6b9ed3a2c3l },
{ 0x6354a3bb2ef8279cl,0xd575465b0b1867f2l,0xef99b0ff95225151l,
0xf3e19d88f94500d8l },
0 },
/* 17 << 144 */
{ { 0xa26a9087133ec108l,0x5dc5699f2712bdc0l,0x96903f4dd14224a9l,
0x3da5992429e47b80l },
{ 0xb717712ff9dbba5al,0x9e52004b756391c9l,0xe669a11dcc9d219cl,
0x3b6e6b84d1d6c07dl },
0 },
/* 19 << 144 */
{ { 0x5feec06a676feadbl,0xfc449bc59d69f322l,0x1d8d7b5e7cda8895l,
0x5ed54dc11a3314a7l },
{ 0x1a11d2ae6de889c0l,0xb2a979724ced2bd9l,0x6ecf6989306a5ef6l,
0x1611d57b8cc8a249l },
0 },
/* 21 << 144 */
{ { 0x2d9942ba007cbf87l,0x4e62bce6df3fc926l,0xe7eee5b0e4560affl,
0xe51963bb7cb009b7l },
{ 0xaa5118cee29b37ddl,0x5cd84a4747263903l,0x3050caa6620055d8l,
0x7ef576a76c4b1e3dl },
0 },
/* 23 << 144 */
{ { 0x9026a4dde6008ff1l,0x49e995ad1c8cd96cl,0x80722e73503e589bl,
0x05bcbce184c2bc26l },
{ 0x255f9abbd4682c2cl,0xc42bcfc2f084d456l,0xa0eae9b0641c0767l,
0x1b45632d864c9a2dl },
0 },
/* 25 << 144 */
{ { 0xcf25793b6ae024e0l,0x1b6607b484b5c4b0l,0x9579fa903f1624c8l,
0x37fb65be68bd57e8l },
{ 0xd693a55efc39c203l,0x4e267ac4c87252e9l,0xb8d78bb09f899413l,
0xe4c014070b3b8508l },
0 },
/* 27 << 144 */
{ { 0x662906e5bc3f3553l,0xde38d53531459684l,0x8f46a8c634f7280dl,
0xaaf91b873d24198el },
{ 0xecd5ee115f9b117el,0xce00ffbe50ae8ddal,0x263a3d4e7710a9ael,
0x0ff3f721f26ba74fl },
0 },
/* 28 << 144 */
{ { 0x4a8a4f47f0cefa69l,0xdc8e4cbaa4546866l,0x359ba69b23f603c1l,
0xdab4d601187b7ac5l },
{ 0xa6ca4337c1ebc8d9l,0x9fa6585452b4074bl,0x1a4b4f81902fb733l,
0xd2bb5d7aa525deaal },
0 },
/* 29 << 144 */
{ { 0xcc287ac2e6b3577al,0xd7528ca7f612003bl,0x8afdb6f12c1400b8l,
0x103a2ed346a2dd8dl },
{ 0xc8f8c54d2ee21339l,0x8f011b92355a2d20l,0x81c6fc9f1346f2acl,
0xdb6042f005a6d24bl },
0 },
/* 31 << 144 */
{ { 0xfc90e3630da4f996l,0x8ceca49daa6d6fe4l,0x1084affdbdfc619bl,
0x2029f672c1140b04l },
{ 0x606ec25f136f3e5el,0x6d24149b02224c4al,0xabb0f142cfdfcf4cl,
0xe40d0419fab1a0edl },
0 },
/* 33 << 144 */
{ { 0xcfdd08265cbccb84l,0x2258a16e88ad93c4l,0xb3ac365e728c5ad3l,
0x0bbf97808560df1fl },
{ 0x42d08a39bad8c7b8l,0x1e3960106d3e8b91l,0xc332b39910274f58l,
0xe0a84dacce2ea778l },
0 },
/* 34 << 144 */
{ { 0x113e1189ff432945l,0x4a0d2c3d04e1106cl,0xcde487744f3597b1l,
0x853b029174fa26eal },
{ 0x2149e0ff02662e26l,0xb3181eaa5e6a030fl,0x086fc2159b006340l,
0xa1df84a694a4e0bbl },
0 },
/* 35 << 144 */
{ { 0xc2cbd80ac99f8d3dl,0xe24b9d8f50ecf4f4l,0xf18d34728ecb126al,
0x83966662e1670aael },
{ 0x1cece80fda5f594el,0x545e94ae65f391e0l,0xf3286dff93f98bb7l,
0xf945e6cdf5abf176l },
0 },
/* 36 << 144 */
{ { 0x00ba5995dd95ac33l,0xa4957a40738f3bf4l,0x073539f599438a85l,
0xcc9c43acc2eb1411l },
{ 0xe27501b5be2ec3d2l,0xa88d4ed057a85458l,0x870ae236755c8777l,
0x0933c5af89216cbal },
0 },
/* 37 << 144 */
{ { 0xb5feea219e40e37fl,0x8c5ccb159e20fd60l,0xaeddc502ce8209a1l,
0xbdf873cc11e793b3l },
{ 0xbc938103f0de8db5l,0x619fb72fb0e9d3d5l,0x800147cb588ed2adl,
0x260f92bb7901ced8l },
0 },
/* 39 << 144 */
{ { 0x72dd9b089848c699l,0xc6086381185dacc1l,0x9489f11ff7d5a4c8l,
0xedb41d5628dee90fl },
{ 0x1091db6b09af693cl,0xc7587551ae4b6413l,0x806aefb0768227adl,
0x4214b83eafb3c88el },
0 },
/* 40 << 144 */
{ { 0xddfb02c4c753c45fl,0x18ca81b6f9c840fel,0x846fd09ab0f8a3e6l,
0xb1162adde7733dbcl },
{ 0x7070ad20236e3ab6l,0xf88cdaf5b2a56326l,0x05fc8719997cbc7al,
0x442cd4524b665272l },
0 },
/* 41 << 144 */
{ { 0x748819f9aa9c0ef5l,0xd7227d8ba458ad48l,0x8d67399f27aef626l,
0xc6241a1859bf0a4cl },
{ 0xed9b0bfcc31cb9bbl,0x591254f896142555l,0x80e4bab461134151l,
0x7c5e680243efbd83l },
0 },
/* 43 << 144 */
{ { 0x7f3f5a1706b9b7ddl,0x392132e75faeb417l,0x508ac4788fae38a2l,
0x2b854ead0d3499c3l },
{ 0x26a687d8ef18bf0fl,0x62ff0c4a8ae00b61l,0x84111011f48578f2l,
0xa879f383cd0fcd3al },
0 },
/* 44 << 144 */
{ { 0xeb7615aa202992f0l,0xde0562b38361d0b3l,0x789a302862027ee0l,
0xe3e3e9921048f899l },
{ 0x07945c246deadab4l,0xeb06a15ec77d894el,0xb825af36bab1416bl,
0x99083c4df4b4e04fl },
0 },
/* 45 << 144 */
{ { 0x4684a8f27b3ad6c3l,0x58238dbd928d9b6bl,0x31865b998da2c495l,
0xc1ca784fb8e7cda1l },
{ 0xc9605dc71e081572l,0x8f560bcdef8ed104l,0x51f73981bd3feaedl,
0xc778aa4e4251c88dl },
0 },
/* 46 << 144 */
{ { 0x9c0daa63aa502800l,0x73c7959a1e15b9bdl,0xd0447bcb7ab10f6cl,
0x05b8fbc8b8311bdel },
{ 0xa8a74be1915d5c4el,0x38d41c1e0b7c0351l,0x5bb2d49ff52d6568l,
0x6c48d8eed5e43593l },
0 },
/* 47 << 144 */
{ { 0x387b26d554159498l,0x92e92fad1ec34eb4l,0x0f88705e7a51b635l,
0x66bcbf4dedca735fl },
{ 0x0a4c6112dcb896ccl,0x148e1dfe6fc72ad9l,0x3de977fd2b4c9585l,
0x0cd6e65f741e62cal },
0 },
/* 48 << 144 */
{ { 0x7807f364b71698f5l,0x6ba418d29f7b605el,0xfd20b00fa03b2cbbl,
0x883eca37da54386fl },
{ 0xff0be43ff3437f24l,0xe910b432a48bb33cl,0x4963a128329df765l,
0xac1dd556be2fe6f7l },
0 },
/* 49 << 144 */
{ { 0x98ae40d53ce533bal,0x10342e1931fdd9c2l,0x54a255c8abf8b2bfl,
0x8facc41b15f6fef7l },
{ 0x2e195565bc65b38bl,0xb9f3abaaeaea63cbl,0xede2ab9bf2b7518bl,
0x5e84102ce9ea3d81l },
0 },
/* 51 << 144 */
{ { 0x162abc35113bc262l,0x8012f06829eb3fd4l,0x0e2727eb2c1ccf9cl,
0x89561ff44b455b20l },
{ 0xc48db835ee3b1fd4l,0x4075ca86095bbfa7l,0x0c498d7d98745182l,
0x828fb93c5dfb5205l },
0 },
/* 52 << 144 */
{ { 0xf95c7a5f0a76333bl,0x07603929cd607927l,0xabde328591028d3el,
0x55765e8fa032a400l },
{ 0x3041f2cabed17cd7l,0x018a5b7b9a9e5923l,0xca4867975bb9bae3l,
0x741c802ecc382cb5l },
0 },
/* 53 << 144 */
{ { 0x182a10311e5a3d8el,0xc352b8c8986c4d10l,0x7c50a172434c02ebl,
0x121d728c4420c41cl },
{ 0x0f8eca2a8a51812fl,0xdb6c4a4ea5158430l,0x67944e0b8d8f4144l,
0x387cc2052405c77al },
0 },
/* 55 << 144 */
{ { 0x98b36eb47e95ad76l,0x1973fa7d5f7e5ff7l,0xc4827abc6cc8a25cl,
0x4263a0d3ec822ae4l },
{ 0x49f113f35217a6f4l,0xf27cc9bb81748aa6l,0x9cb81d97d822e08el,
0x698d2826b5c360bcl },
0 },
/* 57 << 144 */
{ { 0x895f81514eb6d0b8l,0x32ef71df9f786536l,0x032a449430379a79l,
0xa8c1076218bdb83fl },
{ 0x7a3b0b8fe53a4064l,0x0e724a54e2ce89b7l,0x565baeba7a31f6bcl,
0x12b9fa6387d18a7bl },
0 },
/* 59 << 144 */
{ { 0x027231a3585bcfbdl,0x8690e977dca24269l,0x229c021afc6f1422l,
0xd98050d044084cabl },
{ 0x6add95d79d4fd09al,0x12484c68c15b24ddl,0xa79a8f4facf4f551l,
0xf53204e27a83cbecl },
0 },
/* 60 << 144 */
{ { 0xbc006413a906f7aal,0x9c8cd648bbeaf464l,0xaf5c7c64fb78cdf2l,
0xe45839eafabc2375l },
{ 0x1eb89bd150012172l,0x9d0d76194488518cl,0xd55a7238bd534d32l,
0x48f35d5e95b4fe55l },
0 },
/* 61 << 144 */
{ { 0xa6c5574f3e70a35al,0x35c11b5a8df97d97l,0x8f629f6cda85dd27l,
0x94dab294c218452el },
{ 0xa2e1882e8916c731l,0xc02ce77c8929e350l,0xa7ed351fe4eff8afl,
0xeb76ef0654c3e1c1l },
0 },
/* 63 << 144 */
{ { 0xc31d7cf87e3f5be5l,0x1472af0d3ce7f3a0l,0x226414f8f962e1afl,
0xd318e3df16f54295l },
{ 0x9a3f6aaf41477cd3l,0x7034172f66ec6b2el,0xbea54eb537413a62l,
0x79f81262dc515e73l },
0 },
/* 64 << 144 */
{ { 0x994f523a626332d5l,0x7bc388335561bb44l,0x005ed4b03d845ea2l,
0xd39d3ee1c2a1f08al },
{ 0x6561fdd3e7676b0dl,0x620e35fffb706017l,0x36ce424ff264f9a8l,
0xc4c3419fda2681f7l },
0 },
/* 65 << 144 */
{ { 0xb71a52b8b6bf8719l,0x0c7701f73196db36l,0xff1b936f53141cf4l,
0x684d8a3c1b94a31cl },
{ 0xe555633ab52386e1l,0x9353a2af91450578l,0xc53db6fab99b14bcl,
0x1f2d42adcf619d36l },
0 },
/* 71 << 144 */
{ { 0xbeb535ef3851c573l,0x3105fff585589843l,0xbe9f62a1d47aaf06l,
0x6bb2ee5d107e1131l },
{ 0x82530247a4a7699fl,0x3fb475e144872afbl,0x8ad43fd73c4c49f2l,
0x3f7632882e045fc4l },
0 },
/* 77 << 144 */
{ { 0x48440beb2924d7b2l,0x234163809c88fc57l,0xdc1d23d54ab08c2bl,
0x576400b6e70feab0l },
{ 0x3b8afb8ba66da779l,0x7a7e3bf445468f16l,0x1976ddf3231f79dfl,
0xbe61c170b8531a9el },
0 },
/* 83 << 144 */
{ { 0xf8d2dc768bf191b2l,0x3269e68813a39eb9l,0x104bb84be755eccfl,
0xb8d1330f2868f807l },
{ 0x2b29c74cb06c6059l,0x3648baa1a6440a26l,0x5dfae323f1e6b2c9l,
0x9d0319b79330ac0al },
0 },
/* 89 << 144 */
{ { 0x526ba3770e708bb2l,0x95c21ba327565dd9l,0x7071f46d48a0a873l,
0xe4b9959efed6cc74l },
{ 0x1b16bfd1e08a5afal,0xc87fec98d1789782l,0x200186e946cfd068l,
0x88ea35a7280bf3ebl },
0 },
/* 95 << 144 */
{ { 0x9e31943d42ac0e6cl,0xe61374cf1db8e40fl,0xbe27ea35a27db609l,
0x7c5b91d67bf192e9l },
{ 0xc2af846defd0a24bl,0x1b2efc37669b647al,0xbfc3c38e5e58ef8al,
0xb6afb167e13ab5a2l },
0 },
/* 101 << 144 */
{ { 0x08612d29b9f2aad4l,0x43c41330ad09dd17l,0xa45cb84a9f740519l,
0x0a9ea9a7512ec031l },
{ 0x6e90dccaee747f35l,0xe4388bd1f0a1479bl,0x966140c4e20a9029l,
0x1bb1f65d7dd956abl },
0 },
/* 107 << 144 */
{ { 0x066d206ea8f12bb3l,0xc9023b1b4325ec13l,0x1f56c72c96ead8ddl,
0x454050fd8003e4c2l },
{ 0x9ca258a58917aa9dl,0xfe24b282d94593cfl,0xea66c203752741cfl,
0x5714268c295a895el },
0 },
/* 113 << 144 */
{ { 0x72a9fbecc177d694l,0x38bb9387d68454d3l,0xa3d347bf590bc7d2l,
0xcb6e292605ccc234l },
{ 0x588abfcf0d393c01l,0xf053dadf539e5568l,0xad7480fef2a8b157l,
0xff28c8bb018cac8fl },
0 },
/* 116 << 144 */
{ { 0x12f1a00e7f5b8821l,0x0afa44e489b4b0cel,0x2dcaad8f6006338el,
0x79c022cdba41242bl },
{ 0x7f6ef7e17871d350l,0x946c2a91674253adl,0xf686d137a9cbbdd9l,
0xa47ce2eaf7d4f9f2l },
0 },
/* 119 << 144 */
{ { 0x1824991b205d40d6l,0x49cca1c085046a90l,0x7e23c1acd005e3c2l,
0x093a9ae6d102c8ffl },
{ 0xf4791082d2f40843l,0xe456021811645483l,0x8a59c3b0fd3a6b39l,
0x39130e7f820de158l },
0 },
/* 125 << 144 */
{ { 0xf7eef88d83b90783l,0xff60762af336d581l,0xf64f2d5dd801f5a0l,
0x672b6ee7d6b3b8b9l },
{ 0xa2a2dceb08034d69l,0x3eca27f635638218l,0xe7065986fa17fefdl,
0xf1b74445f5803af1l },
0 },
},
{
/* 0 << 152 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 152 */
{ { 0x32670d2f7189e71fl,0xc64387485ecf91e7l,0x15758e57db757a21l,
0x427d09f8290a9ce5l },
{ 0x846a308f38384a7al,0xaac3acb4b0732b99l,0x9e94100917845819l,
0x95cba111a7ce5e03l },
0 },
/* 3 << 152 */
{ { 0x37a01e48a105fc8el,0x769d754a289ba48cl,0xc08c6fe1d51c2180l,
0xb032dd33b7bd1387l },
{ 0x953826db020b0aa6l,0x05137e800664c73cl,0xc66302c4660cf95dl,
0x99004e11b2cef28al },
0 },
/* 4 << 152 */
{ { 0x214bc9a7d298c241l,0xe3b697ba56807cfdl,0xef1c78024564eadbl,
0xdde8cdcfb48149c5l },
{ 0x946bf0a75a4d2604l,0x27154d7f6c1538afl,0x95cc9230de5b1fccl,
0xd88519e966864f82l },
0 },
/* 5 << 152 */
{ { 0x1013e4f796ea6ca1l,0x567cdc2a1f792871l,0xadb728705c658d45l,
0xf7c1ff4ace600e98l },
{ 0xa1ba86574b6cad39l,0x3d58d634ba20b428l,0xc0011cdea2e6fdfbl,
0xa832367a7b18960dl },
0 },
/* 7 << 152 */
{ { 0x1ecc032af416448dl,0x4a7e8c10ec76d971l,0x854f9805b90b6eael,
0xfd0b15324bed0594l },
{ 0x89f71848d98b5ca3l,0xd01fe5fcf039b3efl,0x4481332e627bda2el,
0xe67cecd7a5073e41l },
0 },
/* 9 << 152 */
{ { 0x2ab0bce94595a859l,0x4d8c2da082084ee7l,0x21ff8be5acca3d3cl,
0xd8b805337827f633l },
{ 0xf74e8c026becabbfl,0x9fae4dbefede4828l,0xd3885a5b3cc46bcfl,
0x2d535e2b6e6ad144l },
0 },
/* 10 << 152 */
{ { 0x63d3444507d9e240l,0x6fbadf4338cff7e6l,0x8717624a959c9461l,
0xd7d951c411fb775bl },
{ 0x4049161af6fc3a2bl,0x0dfa2547a1a8e98dl,0xeca780d439c2139cl,
0xd8c2d8cbd73ea8efl },
0 },
/* 11 << 152 */
{ { 0x3aa1974f07605b28l,0x4f3d82a71e296255l,0xbbe5ea03b4e23f16l,
0x8f5c6c6b4e654193l },
{ 0x27181182d3e8ab01l,0xc68bb231f3ba6bc2l,0x90a244d820af1fd7l,
0x605abc055b713f4fl },
0 },
/* 13 << 152 */
{ { 0xca5fe19bd221991al,0x271ff066f05f400el,0x9d46ec4c9cf09896l,
0xdcaa8dfdec4febc3l },
{ 0xaa3995a0adf19d04l,0xc98634239da573a6l,0x378058b2f2465b2bl,
0x20d389f9b4c31612l },
0 },
/* 15 << 152 */
{ { 0xd7d199c7b7631c9dl,0x1322c2b8bb123942l,0xe662b68fbe8b6848l,
0xc970faf2cde99b14l },
{ 0x61b27134b06655e5l,0xadcef8f781365d89l,0x917b5ab521b851aal,
0x4f4472121cf694a7l },
0 },
/* 16 << 152 */
{ { 0x488f1185ca8d9d1al,0xadf2c77dd987ded2l,0x5f3039f060c46124l,
0xe5d70b7571e095f4l },
{ 0x82d586506260e70fl,0x39d75ea7f750d105l,0x8cf3d0b175bac364l,
0xf3a7564d21d01329l },
0 },
/* 17 << 152 */
{ { 0x241e3907fe44e547l,0x42d464c36b992187l,0xeaa8fa989ba72f28l,
0x965a8b8f6afbb81fl },
{ 0x69356a7a8b375ea5l,0x22501ec741bdcc83l,0xf80f4e1445fb180cl,
0xc0b12e95f5e1b822l },
0 },
/* 19 << 152 */
{ { 0x977234e05483dc02l,0x0167430c13d8dcb2l,0xa9971278049912edl,
0xab044b18ca40fa39l },
{ 0xac9587449ff3896cl,0x75bb32eb860d1240l,0xf807071f6b958654l,
0x67d2d3dc7121b4b6l },
0 },
/* 21 << 152 */
{ { 0x3b61e67722f9f017l,0x9c593eb1a8541696l,0xbeba950050eda653l,
0x07b5a48f5e673f6al },
{ 0x748dca0013257aa3l,0x6bbddf9a7372e942l,0xc012f4badde83977l,
0x6e59b327392ddb53l },
0 },
/* 23 << 152 */
{ { 0xb2f3fff641356603l,0x50e63537545f042bl,0x55e5149770eb530dl,
0x5a7383c310860c3bl },
{ 0x7be30382ea669a09l,0xfdf735d289cc1c7fl,0x6e51ed844e0607cfl,
0xdab566df4893795el },
0 },
/* 25 << 152 */
{ { 0x20e3be0f8920690dl,0x98db80eaac279c05l,0x4cd5c60a44b8a4f8l,
0xeda7e91c7b0335f4l },
{ 0x45c1302a41ee5713l,0x1f6455fe588508d0l,0x82cb7311163d2fc3l,
0xe866b90322f10b71l },
0 },
/* 27 << 152 */
{ { 0xc217a2e259b4041el,0x85b96ce274526cbfl,0xcbfc4f5473f12687l,
0x097caa5fd40225e7l },
{ 0x0871ad406e91293fl,0x5f2ea207033b98ecl,0x0b3b8fac1f27d37al,
0x7d72dd4c7f03876cl },
0 },
/* 28 << 152 */
{ { 0xb51a40a51e6a75c1l,0x24327c760ea7d817l,0x0663018207774597l,
0xd6fdbec397fa7164l },
{ 0x20c99dfb13c90f48l,0xd6ac5273686ef263l,0xc6a50bdcfef64eebl,
0xcd87b28186fdfc32l },
0 },
/* 29 << 152 */
{ { 0x2f0c49ac95861439l,0xcdcb051b2e36e38al,0x459474080ae20c0cl,
0x374baad2dddf0aabl },
{ 0x291abc85d5d104a4l,0x0758001958a0657cl,0xd0f428e1a905ea13l,
0x12599ddcf7241dbfl },
0 },
/* 31 << 152 */
{ { 0x16222ce81bc3c403l,0xbacc1508fc13ca02l,0xfa98db4d920ee8e9l,
0xe5fc39c4df12a359l },
{ 0x4e8c9b90188733e8l,0x04283dd81394936cl,0x93b3db51cd130432l,
0x33bfe3163c93ce31l },
0 },
/* 33 << 152 */
{ { 0xb48591e9840b1724l,0x1009559f5885ec6fl,0x45ee51121b077620l,
0x848f9800f1f4cc8al },
{ 0x6ec1e0f74e97bceal,0x953bc23a98e80642l,0x9f0d1e8194ce7181l,
0xeb3e6b9700eec596l },
0 },
/* 34 << 152 */
{ { 0x6d34b39bff7514dal,0x29ffe49825be3634l,0x63e56598f28c8b82l,
0x78b99133aab41bcel },
{ 0x11febd5a52563180l,0xa3be94c5c356a8c0l,0x5e9b422e0d61f864l,
0x2bf4ca1278fd259el },
0 },
/* 35 << 152 */
{ { 0x8f60e40266914514l,0x6d9e280fef178167l,0x2ff7aec9e2949a48l,
0x422389ce72d37511l },
{ 0xe9b156f3307ac1d2l,0x1cb581a78518e79fl,0x56d43f302185cf82l,
0x8d46c5aade59562cl },
0 },
/* 36 << 152 */
{ { 0x50fc0711745edc11l,0x9dd9ad7d3dc87558l,0xce6931fbb49d1e64l,
0x6c77a0a2c98bd0f9l },
{ 0x62b9a6296baf7cb1l,0xcf065f91ccf72d22l,0x7203cce979639071l,
0x09ae4885f9cb732fl },
0 },
/* 37 << 152 */
{ { 0xd007d682e4b35428l,0x80c162315bcdc0d6l,0xe55a86bd36fce9b2l,
0x16772edb969a87cfl },
{ 0xff323a2d3f370c94l,0x8d3c8028bf3c1afcl,0x4e1591e73b0c3fafl,
0xfbd6475cb981ce83l },
0 },
/* 39 << 152 */
{ { 0xcf414ae3315b2471l,0xf54abf8033168de6l,0x6883efc5df5cdb24l,
0x3eca788c8efe81acl },
{ 0xdb58c6c778eeccadl,0x3c77939082fecfb7l,0x5736cdd9c9b513f3l,
0xab7e6ea57b02aaf2l },
0 },
/* 40 << 152 */
{ { 0x5e7c3becee8314f3l,0x1c068aeddbea298fl,0x08d381f17c80acecl,
0x03b56be8e330495bl },
{ 0xaeffb8f29222882dl,0x95ff38f6c4af8bf7l,0x50e32d351fc57d8cl,
0x6635be5217b444f0l },
0 },
/* 41 << 152 */
{ { 0x2cec7ba64805d895l,0x4c8399870ac78e7cl,0x031ad6c7f79416c5l,
0x1b2f2621f1838d2fl },
{ 0x60835eac91447f90l,0x59147af1f9bab5d9l,0x7a3005d6f393f175l,
0x8cf3c468c4120ba2l },
0 },
/* 43 << 152 */
{ { 0xeccffc7d8a2c1f08l,0x308916d37e384bd4l,0x6b8c2ff55e366384l,
0xf4b2850d03e4747cl },
{ 0xe839c569e96c1488l,0xa46ff7f956c9cb10l,0xd968c74c362fd172l,
0x2aa7fe4cad6bb601l },
0 },
/* 44 << 152 */
{ { 0x04d15276a5177900l,0x4e1dbb47f6858752l,0x5b475622c615796cl,
0xa6fa0387691867bfl },
{ 0xed7f5d562844c6d0l,0xc633cf9b03a2477dl,0xf6be5c402d3721d6l,
0xaf312eb7e9fd68e6l },
0 },
/* 45 << 152 */
{ { 0xf3b8164eec04c847l,0xa305ca93fe65816cl,0xa65f9963c7e2ce52l,
0xc448005198882cfcl },
{ 0x46a998df05c165bbl,0xc38f4edf9dfe1e98l,0xb96ec43f8739f77al,
0x10a23af9313b40bfl },
0 },
/* 46 << 152 */
{ { 0xe476c3e3ee668e0cl,0xcec6a984478197c2l,0xc9fa1d68897147c1l,
0x4e6aec0ea6465793l },
{ 0xedca9db76b219c3bl,0xa2cd57942e508d3bl,0x38b384663936e02al,
0x0b8d3b4ca54ce90fl },
0 },
/* 47 << 152 */
{ { 0x66e06537af08e0fcl,0x70fe0f2a907f1a93l,0x8c25245285ec1647l,
0x0b8b2964d5560eddl },
{ 0xda45a326f3ef8e14l,0xf3adf9a6abc3494bl,0xbbdd93c11eda0d92l,
0x1b5e12c609912773l },
0 },
/* 48 << 152 */
{ { 0x242792d2e7417ce1l,0xff42bc71970ee7f5l,0x1ff4dc6d5c67a41el,
0x77709b7b20882a58l },
{ 0x3554731dbe217f2cl,0x2af2a8cd5bb72177l,0x58eee769591dd059l,
0xbb2930c94bba6477l },
0 },
/* 49 << 152 */
{ { 0x5d9d507551d01848l,0x53dadb405b600d1el,0x7ba5b4dc5cb0a9a3l,
0xdb85b04c6795e547l },
{ 0x480e7443f0354843l,0xc7efe6e813012322l,0x479b674a2aeee1e6l,
0xf5481f19704f4ea3l },
0 },
/* 51 << 152 */
{ { 0x76a38d6978c7816el,0xe020c87df84ec554l,0x99af2f78f9818010l,
0x31cf103d988136eal },
{ 0x6b095a114816a5aal,0x5a4cd2a4eff0a4afl,0x543041a5892e5e04l,
0x460f94c30aab9ee1l },
0 },
/* 52 << 152 */
{ { 0x863ee0477d930cfcl,0x4c262ad1396fd1f4l,0xf4765bc8039af7e1l,
0x2519834b5ba104f6l },
{ 0x7cd61b4cd105f961l,0xa5415da5d63bca54l,0x778280a088a1f17cl,
0xc49689492329512cl },
0 },
/* 53 << 152 */
{ { 0x282d92b48cd3948al,0x95d219dfe168205bl,0xf6111a6f87bf3abcl,
0x910f8ce655fee9f2l },
{ 0xb6c806f74f71ac89l,0xd0cc300fb7235f73l,0xfe37ccb47d0d45bbl,
0x5b2445f6952f0eaal },
0 },
/* 55 << 152 */
{ { 0x03870be447141962l,0x8b79033f4a2b3f7fl,0xb6983b5ed2e5e274l,
0x2a2f8018501ed99cl },
{ 0x07a92eb9feb49656l,0x063f0a9e482e2972l,0x413be27a57435832l,
0x56363c5f6f9d3de1l },
0 },
/* 57 << 152 */
{ { 0xd247153163b50214l,0x32b435eeb2b897del,0xc49f0b01b05df4del,
0x97b6aa40b7df9b91l },
{ 0x58ff34ec8ec39d78l,0xab0889005e0114a3l,0x6872b4de4822b7b8l,
0x7614c0d0ab239073l },
0 },
/* 59 << 152 */
{ { 0x81891d378aa5d80al,0xf48ca24292e45f2cl,0xba711b6c0d04904cl,
0x5992cda349f16ed6l },
{ 0x18b9a739790593eel,0x8b98e84dc4ba16d1l,0xac55701cb7b81615l,
0xadb4533b15822291l },
0 },
/* 60 << 152 */
{ { 0x6210db7181236c97l,0x74f7685b3ee0781fl,0x4df7da7ba3e41372l,
0x2aae38b1b1a1553el },
{ 0x1688e222f6dd9d1bl,0x576954485b8b6487l,0x478d21274b2edeaal,
0xb2818fa51e85956al },
0 },
/* 61 << 152 */
{ { 0xc0677533f255ba8el,0x2bdae2a1efa2aabel,0xf7aebbd4b086c8a6l,
0x148455d992cb1147l },
{ 0xa084e8d715402565l,0x33f111a8fa41bf23l,0x4bc990d627ac189bl,
0x48dbe6569d505f76l },
0 },
/* 63 << 152 */
{ { 0x59df7fab596766f3l,0x4cadcbfe604f26e4l,0x0cf199338a6af592l,
0x3af1ace287b826c1l },
{ 0xf09a5b38ee60684el,0xa04cbeda4ed7c711l,0xdb28c42eb1731040l,
0x75fcc0ec2e6e6523l },
0 },
/* 64 << 152 */
{ { 0x1e6adddaf176f2c0l,0x01ca4604e2572658l,0x0a404ded85342ffbl,
0x8cf60f96441838d6l },
{ 0x9bbc691cc9071c4al,0xfd58874434442803l,0x97101c85809c0d81l,
0xa7fb754c8c456f7fl },
0 },
/* 65 << 152 */
{ { 0x4374020072196f30l,0x59ed0dc0dcd6c935l,0x17d4ed8e5034161bl,
0x8abe3e13009e7170l },
{ 0xe51c41c96c791456l,0xc671807704d72bb6l,0xd4309cf56bba424al,
0x6122b951d0ca4ceal },
0 },
/* 71 << 152 */
{ { 0xdfdb2e9c4278982bl,0xf3a282b32d6a2a61l,0x5611650cd2f2b03cl,
0xa62c177f43f7f83al },
{ 0x372310ab4c593d32l,0x2bb6903a2b570f9cl,0x2930da3df43af904l,
0x2bbd04aa2c8a5a7dl },
0 },
/* 77 << 152 */
{ { 0x10c324c007e536del,0xc456836d377be1b4l,0x9a627d75d785af3fl,
0xde74559118b58b31l },
{ 0xeac83ea60c47239al,0x35da24abbc02f670l,0x2d4abde0c3af6e63l,
0xac53acba5a7ebf1bl },
0 },
/* 83 << 152 */
{ { 0x2b03ec2efd9a9f3el,0xc967cd2b9d898a09l,0xb24bcba8039dc4f6l,
0x0ea1d297061ada1el },
{ 0x3a7a25fbc134b8bcl,0x846282d6f61cd312l,0xfa1de0d2e0d778d9l,
0xf75fad4ef09be264l },
0 },
/* 89 << 152 */
{ { 0x7d35695bcf74afb3l,0x34d43d9f15bb36fbl,0x15f0b43960b45fbel,
0xb15db8d84f38ec06l },
{ 0x93ce7d50f7da1406l,0x2db97edd9f076aaal,0x27ebb9aa354429dcl,
0xf97eb5c446ace469l },
0 },
/* 95 << 152 */
{ { 0x758fa2312dcf498fl,0xaa8c14d15cf3853al,0x416f5dab097d786al,
0xceec00ef38f242a0l },
{ 0x2f8b10b9d8b75ef2l,0xee64912b2281be6al,0xa883481aa382a51el,
0x9442300f61b16b8al },
0 },
/* 101 << 152 */
{ { 0x80e7fbc4f4b171e1l,0xdd2246f5661564a4l,0xcf08d73cd00d4e54l,
0xf725f5389fca9a30l },
{ 0xd9607358af20debel,0xa97c81e16f7d1cf2l,0x72794ae70dedfb2al,
0xc328cb93159ff29dl },
0 },
/* 107 << 152 */
{ { 0xaf9491d6252f6d59l,0x6744d7518feda60dl,0xa485f8aa34c5c048l,
0x2ed794b4b50ea53bl },
{ 0x0da82650db26c289l,0xed3ab4c50904af55l,0x425eda1176544463l,
0x917be5f48939b29bl },
0 },
/* 113 << 152 */
{ { 0xa2e72d0f8e208e5dl,0x5a5e4344234a5fedl,0x6dcc56535005bee8l,
0x09d0c254854e2e04l },
{ 0xade4bcdba82f0789l,0x5a3e3cd4ec460a91l,0x6b1a867be76695b2l,
0xd1eb9df0a28b9331l },
0 },
/* 116 << 152 */
{ { 0x3f5cf5f678e62ddcl,0x2267c45407fd752bl,0x5e361b6b5e437bbel,
0x95c595018354e075l },
{ 0xec725f85f2b254d9l,0x844b617d2cb52b4el,0xed8554f5cf425fb5l,
0xab67703e2af9f312l },
0 },
/* 119 << 152 */
{ { 0x8dcc920005fb96bbl,0x29d2442470f84705l,0x540bb6e63f09628fl,
0x07f8b4de2a9c2359l },
{ 0xb8e002d1957e41dcl,0x9a0fe82b9e683a3fl,0x996b1a5250e633fdl,
0x748a11e500c669cal },
0 },
/* 125 << 152 */
{ { 0x0593a788581dfd6el,0x99f1164f64e1b329l,0x1142c44b1defddbbl,
0xbc95c9c7660b9036l },
{ 0xf24b5a47079179ccl,0x6175b52c21f7033bl,0x8b5d84183bc2eec0l,
0xc1332c8272d12670l },
0 },
},
{
/* 0 << 160 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 160 */
{ { 0xd433e50f6d3549cfl,0x6f33696ffacd665el,0x695bfdacce11fcb4l,
0x810ee252af7c9860l },
{ 0x65450fe17159bb2cl,0xf7dfbebe758b357bl,0x2b057e74d69fea72l,
0xd485717a92731745l },
0 },
/* 3 << 160 */
{ { 0x6c8d0aa9b898fd52l,0x2fb38a57be9af1a7l,0xe1f2b9a93b4f03f8l,
0x2b1aad44c3f0cc6fl },
{ 0x58b5332e7cf2c084l,0x1c57d96f0367d26dl,0x2297eabdfa6e4a8dl,
0x65a947ee4a0e2b6al },
0 },
/* 4 << 160 */
{ { 0xaaafafb0285b9491l,0x01a0be881e4c705el,0xff1d4f5d2ad9caabl,
0x6e349a4ac37a233fl },
{ 0xcf1c12464a1c6a16l,0xd99e6b6629383260l,0xea3d43665f6d5471l,
0x36974d04ff8cc89bl },
0 },
/* 5 << 160 */
{ { 0xf535b616fdd5b854l,0x592549c85728719fl,0xe231468606921cadl,
0x98c8ce34311b1ef8l },
{ 0x28b937e7e9090b36l,0x67fc3ab90bf7bbb7l,0x12337097a9d87974l,
0x3e5adca1f970e3fel },
0 },
/* 7 << 160 */
{ { 0xcdcc68a7b3f85ff0l,0xacd21cdd1a888044l,0xb6719b2e05dbe894l,
0xfae1d3d88b8260d4l },
{ 0xedfedece8a1c5d92l,0xbca01a94dc52077el,0xc085549c16dd13edl,
0xdc5c3bae495ebaadl },
0 },
/* 9 << 160 */
{ { 0xcc17063fbe7b643al,0x7872e1c846085760l,0x86b0fffbb4214c9el,
0xb18bbc0e72bf3638l },
{ 0x8b17de0c722591c9l,0x1edeab1948c29e0cl,0x9fbfd98ef4304f20l,
0x2d1dbb6b9c77ffb6l },
0 },
/* 10 << 160 */
{ { 0xf53f2c658ead09f7l,0x1335e1d59780d14dl,0x69cc20e0cd1b66bcl,
0x9b670a37bbe0bfc8l },
{ 0xce53dc8128efbeedl,0x0c74e77c8326a6e5l,0x3604e0d2b88e9a63l,
0xbab38fca13dc2248l },
0 },
/* 11 << 160 */
{ { 0x255616d3c7141771l,0xa86691ab2f226b66l,0xda19fea4b3ca63a9l,
0xfc05dc42ae672f2bl },
{ 0xa9c6e786718ba28fl,0x07b7995b9c66b984l,0x0f434f551b3702f2l,
0xd6f6212fda84eeffl },
0 },
/* 13 << 160 */
{ { 0x4b0e7987b5b41d78l,0xea7df9074bf0c4f8l,0xb4d03560fab80ecdl,
0x6cf306f6fb1db7e5l },
{ 0x0d59fb5689fd4773l,0xab254f4000f9be33l,0x18a09a9277352da4l,
0xf81862f5641ea3efl },
0 },
/* 15 << 160 */
{ { 0xb59b01579f759d01l,0xa2923d2f7eae4fdel,0x18327757690ba8c0l,
0x4bf7e38b44f51443l },
{ 0xb6812563b413fc26l,0xedb7d36379e53b36l,0x4fa585c4c389f66dl,
0x8e1adc3154bd3416l },
0 },
/* 16 << 160 */
{ { 0xd3b3a13f1402b9d0l,0x573441c32c7bc863l,0x4b301ec4578c3e6el,
0xc26fc9c40adaf57el },
{ 0x96e71bfd7493cea3l,0xd05d4b3f1af81456l,0xdaca2a8a6a8c608fl,
0x53ef07f60725b276l },
0 },
/* 17 << 160 */
{ { 0x971e9eedd5098497l,0x97692be63077d8a7l,0xb57e02ad79625a8al,
0x5e3d20f6a688ecd5l },
{ 0xa4431a28188f964dl,0xd4eb23bd5a11c1dbl,0xfcda853eadc7446fl,
0x9e2e98b593c94046l },
0 },
/* 19 << 160 */
{ { 0x4a649b66eddaa4f1l,0x35a04f185e690c50l,0x1639bdcff908bc53l,
0xce6d525c121726e8l },
{ 0x70f34948902b402cl,0x3a40c6950e290579l,0x7b0ed90f469a0085l,
0xecb979c60189c501l },
0 },
/* 21 << 160 */
{ { 0x847e2bde5cee8d07l,0x1bed198cd3340037l,0x439ffb3ce41586e3l,
0x594980f1856f15b0l },
{ 0x22c3b86c6e9307c6l,0xf8b3ee08876382dbl,0x850c628e628f3f30l,
0x22ec0acb51ee3659l },
0 },
/* 23 << 160 */
{ { 0xa4052591efcef5a0l,0x82692a47106d55afl,0xdac3ea88e6ead453l,
0xaa1368fcf3dfd875l },
{ 0x87bc688aa0c539eal,0x905e206040b1de3el,0x072240b8f1d52452l,
0x3ebf0644d57b6580l },
0 },
/* 25 << 160 */
{ { 0x12109bcc07a0b2f8l,0x336f87d2ca23f14cl,0xb39ae282452a2ea2l,
0x8e085f5bab59a500l },
{ 0xf7daeb69b63f015cl,0x44c555bcacb47b38l,0x96190454b623910al,
0x4b666e2255b41b70l },
0 },
/* 27 << 160 */
{ { 0xf146914eb53419fdl,0xd2109b07493e88bfl,0x30bf9cbccc54bcd5l,
0xcf9ea59750e34a1fl },
{ 0x70ade8a59588591dl,0xf668be676b41c269l,0x3497c58f78df2e6bl,
0x0fad05cc71042b56l },
0 },
/* 28 << 160 */
{ { 0x27f536e049ce89e7l,0x18908539cc890cb5l,0x308909abd83c2aa1l,
0xecd3142b1ab73bd3l },
{ 0x6a85bf59b3f5ab84l,0x3c320a68f2bea4c6l,0xad8dc5386da4541fl,
0xeaf34eb0b7c41186l },
0 },
/* 29 << 160 */
{ { 0x709da836093aa5f6l,0x567a9becb4644edel,0xae02a46044466b0cl,
0xc80b237a407f1b3bl },
{ 0x451df45ab4168a98l,0xdc9b40ef24a3f7c9l,0x23593ef32671341dl,
0x40f4533190b90faal },
0 },
/* 31 << 160 */
{ { 0x7f97768e922f36e3l,0x936943f8491034a2l,0x72f6c17f21483753l,
0x5489fa0cb2918619l },
{ 0x55b31aa59cc21a46l,0xde4cc71a8e54ab14l,0x942cb8be9eaff8b0l,
0xe38f6116d1755231l },
0 },
/* 33 << 160 */
{ { 0xf0c0606a395b39abl,0x0efcbc699b5166a5l,0x85995e6895453d85l,
0xadc9a2920806ee5cl },
{ 0xc3662e804928fe09l,0x2a2ddcc6969c87e7l,0xa02d7947111d319dl,
0xde23bcf12d20f66dl },
0 },
/* 34 << 160 */
{ { 0xc47cb3395f6d4a09l,0x6b4f355cee52b826l,0x3d100f5df51b930al,
0xf4512fac9f668f69l },
{ 0x546781d5206c4c74l,0xd021d4d4cb4d2e48l,0x494a54c2ca085c2dl,
0xf1dbaca4520850a8l },
0 },
/* 35 << 160 */
{ { 0xb2d15b14a911cc2bl,0xab2dfaf7643e28eal,0xfccc9ed1f52c4c2dl,
0xfb4b1d4a09d8faa3l },
{ 0x6fd72a9b7f5ce767l,0x0233c856a287e2b5l,0xd42135e05775ebb9l,
0xb3c9dada7376568bl },
0 },
/* 36 << 160 */
{ { 0x63c79326490a1acal,0xcb64dd9c41526b02l,0xbb772591a2979258l,
0x3f58297048d97846l },
{ 0xd66b70d17c213ba7l,0xc28febb5e8a0ced4l,0x6b911831c10338c1l,
0x0d54e389bf0126f3l },
0 },
/* 37 << 160 */
{ { 0x5952996b5306af1bl,0x99f444f4354b67bel,0x6f670181633a2928l,
0x289023f0e9bdc4a6l },
{ 0xcbed12148f7455a2l,0x501ace2f659a4858l,0x83ee678d5f8e1784l,
0x95c984587335c5bdl },
0 },
/* 39 << 160 */
{ { 0x2e25a1f3e0233000l,0xed0028cd44fe8ba9l,0x447501a6021d43b3l,
0x4ec203906b4dffccl },
{ 0x50642f9ad0169740l,0x9360003373cc58adl,0x825f1a82fe9cf9acl,
0x456194c653242bd6l },
0 },
/* 40 << 160 */
{ { 0x40242efeb483689bl,0x2575d3f6513ac262l,0xf30037c80ca6db72l,
0xc9fcce8298864be2l },
{ 0x84a112ff0149362dl,0x95e575821c4ae971l,0x1fa4b1a8945cf86cl,
0x4525a7340b024a2fl },
0 },
/* 41 << 160 */
{ { 0x83205e8f5db5e2b1l,0x94e7a2621e311c12l,0xe1cac7333e37068fl,
0xe3f43f6d39965acfl },
{ 0xd28db9e854d905bal,0x686f372a101f2162l,0x409cfe5d3d1b46d4l,
0x17648f1cbd0bb63al },
0 },
/* 43 << 160 */
{ { 0xef83315b821f4ee4l,0xb90766998ba78b4dl,0xee6a15880fce5260l,
0x828f4a72d754affbl },
{ 0x4650ec7daaae54d2l,0x3174301f1057efe9l,0x174e0683eb7704cel,
0xb7e6aeb357eb0b14l },
0 },
/* 44 << 160 */
{ { 0xcaead1c2c905d85fl,0xe9d7f7900733ae57l,0x24c9a65cf07cdd94l,
0x7389359ca4b55931l },
{ 0xf58709b7367e45f7l,0x1f203067cb7e7adcl,0x82444bffc7b72818l,
0x07303b35baac8033l },
0 },
/* 45 << 160 */
{ { 0xd59528fb38a0dc96l,0x8179dc9088d0e857l,0x55e9ba039ed4b1afl,
0x8a2c0dc787b74cacl },
{ 0xe8ca91aeef1c0006l,0x67f59ab2de0e15d4l,0xba0cddf86e6634d2l,
0x352803657b7ba591l },
0 },
/* 46 << 160 */
{ { 0x1e1ee4e4d13b7ea1l,0xe6489b24e0e74180l,0xa5f2c6107e70ef70l,
0xa1655412bdd10894l },
{ 0x555ebefb7af4194el,0x533c1c3c8e89bd9cl,0x735b9b5789895856l,
0x15fb3cd2567f5c15l },
0 },
/* 47 << 160 */
{ { 0xef07bfedfb0986c7l,0xde138afe47c1659al,0x8b79c159a555e907l,
0x21d572f1125518bbl },
{ 0x2005999ad320410cl,0x4167dc469484414bl,0x0cd965c34c6aaefdl,
0x2a1abc9a0e1d5e9dl },
0 },
/* 48 << 160 */
{ { 0x057fed45526f09fdl,0xe8a4f10c8128240al,0x9332efc4ff2bfd8dl,
0x214e77a0bd35aa31l },
{ 0x32896d7314faa40el,0x767867ec01e5f186l,0xc9adf8f117a1813el,
0xcb6cda7854741795l },
0 },
/* 49 << 160 */
{ { 0xadfaf39b888dedf1l,0x4f8b178aab1750b9l,0x26418617ffe6b0eal,
0x01d1be82af04a59fl },
{ 0x41584147e652db64l,0xf7775ac5727f9ea7l,0x58052a20e72ad8bbl,
0x5badf0dc6021160el },
0 },
/* 51 << 160 */
{ { 0x8490ea99183de59dl,0xc95f72146f5c6f8cl,0x89b55d15df00c334l,
0x84386ad8a0ec36f7l },
{ 0x24dadaefe4dc1ed1l,0xc606ba4c1e717227l,0x7e4756c0bbfa62eal,
0x3916cf14afc29cf3l },
0 },
/* 52 << 160 */
{ { 0xb7b4d00101dae185l,0x45434e0b9b7a94bcl,0xf54339affbd8cb0bl,
0xdcc4569ee98ef49el },
{ 0x7789318a09a51299l,0x81b4d206b2b025d8l,0xf64aa418fae85792l,
0x3e50258facd7baf7l },
0 },
/* 53 << 160 */
{ { 0x4152c508492d91f3l,0x59d6cf9c678f9db4l,0xb0a8c966404608d1l,
0xdced55d0e3fed558l },
{ 0x0914a3cb33a76188l,0x79df212423d35d46l,0x2322507fca13b364l,
0x0aed41d60078ab93l },
0 },
/* 55 << 160 */
{ { 0x7acdaa7f6b2ebfc2l,0xb5ab1a9a80d9f67fl,0x53ba8173ff8aa8b0l,
0x9cd85cf874ca56a6l },
{ 0xabac57f49c4fad81l,0x2325bb8521078995l,0xbac5e3a1b928a054l,
0x7219047a2394cc2al },
0 },
/* 57 << 160 */
{ { 0xa33410d2aa75fd37l,0x821093affc0f1192l,0xe45e85ed155e39a9l,
0xd0e87cd12de67188l },
{ 0xdeca97d965d43d87l,0x8c73826f9d2c99ecl,0x1bfe111e33237ddbl,
0xda32e865587bfb28l },
0 },
/* 59 << 160 */
{ { 0xde456d92c89e9e4el,0xe45688a98e47f3cdl,0x3deacfca3bacbde0l,
0xdf9b32efc9683a70l },
{ 0x749bc007e1691106l,0x788a05342a5154d7l,0x1a06baecf7c7b70dl,
0xb5b608eeae6ffc4cl },
0 },
/* 60 << 160 */
{ { 0x4cd296df5579bea4l,0x10e35ac85ceedaf1l,0x04c4c5fde3bcc5b1l,
0x95f9ee8a89412cf9l },
{ 0x2c9459ee82b6eb0fl,0x2e84576595c2aaddl,0x774a84aed327fcfel,
0xd8c937220368d476l },
0 },
/* 61 << 160 */
{ { 0x39ebf947ccd25abbl,0x74e7a868cb49ebael,0x576ea108332e6147l,
0xcf3ba166150c1e5dl },
{ 0xb5411fc3515c0e93l,0x51b15761f15c8a34l,0x362a4a3a0d213f38l,
0xf6f63c2e24e93aeal },
0 },
/* 63 << 160 */
{ { 0x0cb3a2dcb78528d5l,0xa1888c18d585bb41l,0x210cca40de402a6el,
0x10c6339d9ed7c381l },
{ 0xcd3558d561fe2a0cl,0xc97db05dad5140b1l,0x3366b028b21f8d11l,
0x878b09033e38be13l },
0 },
/* 64 << 160 */
{ { 0x211cde10296c36efl,0x7ee8967282c4da77l,0xb617d270a57836dal,
0xf0cd9c319cb7560bl },
{ 0x01fdcbf7e455fe90l,0x3fb53cbb7e7334f3l,0x781e2ea44e7de4ecl,
0x8adab3ad0b384fd0l },
0 },
/* 65 << 160 */
{ { 0x081e505aa353ba05l,0x244ab34a288b86b1l,0x1155f06214e3a829l,
0x383300daf2118a6bl },
{ 0xe8fc17cef27032b9l,0xed7f05c9c7bd2389l,0x78f70d14202f8a88l,
0x8a8310c0647b3f20l },
0 },
/* 71 << 160 */
{ { 0xc80786e1a3633369l,0x496d55de9073f5b9l,0x10deeb6a89ae93cel,
0x6a2dd5c8b12e00c6l },
{ 0xc25cd2f90c68e26dl,0x29d7ad8b53f0bb64l,0x2dd0d027d7fc9b00l,
0xad21e1f7ca9c4d5dl },
0 },
/* 77 << 160 */
{ { 0xd45cb932d83465f3l,0x95830c0faf22fdbdl,0x41d830e007cd2a0al,
0x4a08500e3616e716l },
{ 0x5931fc9f277755a5l,0x7d11680731006764l,0xa409a0ad1b3999aal,
0xec70368c9939d566l },
0 },
/* 83 << 160 */
{ { 0x3905cb59f2030370l,0x7e9bdee56dcc8fd7l,0xb1b7b04e9806e06fl,
0xfbdadce22c73eb57l },
{ 0xfb1ab2e98d5b2eb3l,0x58fbf2df7699338bl,0x81b1c54a63b5a032l,
0xefd1a1896a5d7ff4l },
0 },
/* 89 << 160 */
{ { 0x0265189da1f769eal,0x22fa0bbbfdb5a502l,0xf69f0d1b21027534l,
0x64302b81f6066b99l },
{ 0xdef85fc98a717e80l,0xe066166386879a3bl,0xe5489b347f95b22cl,
0x106dca9aa054a563l },
0 },
/* 95 << 160 */
{ { 0xd624b4f4b4be9a77l,0x21a11ed77d50acb1l,0x707181f43d406e11l,
0x3f324d203ef158bcl },
{ 0xb29a2a34aa8cc8del,0x482f4a15315db969l,0x42ce4fc7d9af272el,
0x784665b1f8f4cdc4l },
0 },
/* 101 << 160 */
{ { 0x66ff7f73ab43a863l,0xa90be2cba77fd07el,0x84843997f76e5288l,
0x288c197f3cee129bl },
{ 0x39acc080c0a060a6l,0x4c8e574bd24e27cal,0x1dd6170ffcd3d5e9l,
0x9736bb51f75e5150l },
0 },
/* 107 << 160 */
{ { 0x2133810e6ba75716l,0x4debf728712886a8l,0x351e46a1f527d1f3l,
0x29709ae8e9591564l },
{ 0x696163d3a3dc1780l,0xd5b7825ae02aadf3l,0x23579d7cd565ae68l,
0x105380124fa42cecl },
0 },
/* 113 << 160 */
{ { 0x04eb554d13ffa704l,0x7441a62f2ed33d20l,0xaa926fa0b5b81324l,
0xb981bcb829836f61l },
{ 0x313a78d4cc9a7a15l,0xff1242d11b3921d2l,0xc0053fd36a209d4dl,
0x95ac85caf7e92ca9l },
0 },
/* 116 << 160 */
{ { 0x6d2a483d6f73c51el,0xa4cb2412ea0dc2ddl,0x50663c411eb917ffl,
0x3d3a74cfeade299el },
{ 0x29b3990f4a7a9202l,0xa9bccf59a7b15c3dl,0x66a3ccdca5df9208l,
0x48027c1443f2f929l },
0 },
/* 119 << 160 */
{ { 0xdf8a6f9673c3f6fbl,0xe4b1f0d98cc03220l,0x5ddacd618350480cl,
0x485c4fababdfb016l },
{ 0xdc840628b4d424b7l,0x07d3a99c215b2359l,0xad3dc5af56dff52el,
0x5a3a6754973b6825l },
0 },
/* 125 << 160 */
{ { 0xcfe231b83539a06dl,0xb36d1f72f46770ddl,0x126049747bb900d6l,
0x8d0990973fc31661l },
{ 0x03b2749c920bc39el,0xf933d510b0486e23l,0x09cc958f0e9b0bb5l,
0x0b254dd1aa1e23abl },
0 },
},
{
/* 0 << 168 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 168 */
{ { 0x263a2cfb9db3b381l,0x9c3a2deed4df0a4bl,0x728d06e97d04e61fl,
0x8b1adfbc42449325l },
{ 0x6ec1d9397e053a1bl,0xee2be5c766daf707l,0x80ba1e14810ac7abl,
0xdd2ae778f530f174l },
0 },
/* 3 << 168 */
{ { 0xadbaeb79b6828f36l,0x9d7a025801bd5b9el,0xeda01e0d1e844b0cl,
0x4b625175887edfc9l },
{ 0x14109fdd9669b621l,0x88a2ca56f6f87b98l,0xfe2eb788170df6bcl,
0x0cea06f4ffa473f9l },
0 },
/* 4 << 168 */
{ { 0x43ed81b5c4e83d33l,0xd9f358795efd488bl,0x164a620f9deb4d0fl,
0xc6927bdbac6a7394l },
{ 0x45c28df79f9e0f03l,0x2868661efcd7e1a9l,0x7cf4e8d0ffa348f1l,
0x6bd4c284398538e0l },
0 },
/* 5 << 168 */
{ { 0x2618a091289a8619l,0xef796e606671b173l,0x664e46e59090c632l,
0xa38062d41e66f8fbl },
{ 0x6c744a200573274el,0xd07b67e4a9271394l,0x391223b26bdc0e20l,
0xbe2d93f1eb0a05a7l },
0 },
/* 7 << 168 */
{ { 0x7efa14b84444896bl,0x64974d2ff94027fbl,0xefdcd0e8de84487dl,
0x8c45b2602b48989bl },
{ 0xa8fcbbc2d8463487l,0xd1b2b3f73fbc476cl,0x21d005b7c8f443c0l,
0x518f2e6740c0139cl },
0 },
/* 9 << 168 */
{ { 0xae51dca2a91f6791l,0x2abe41909baa9efcl,0xd9d2e2f4559c7ac1l,
0xe82f4b51fc9f773al },
{ 0xa77130274073e81cl,0xc0276facfbb596fcl,0x1d819fc9a684f70cl,
0x29b47fddc9f7b1e0l },
0 },
/* 10 << 168 */
{ { 0x358de103459b1940l,0xec881c595b013e93l,0x51574c9349532ad3l,
0x2db1d445b37b46del },
{ 0xc6445b87df239fd8l,0xc718af75151d24eel,0xaea1c4a4f43c6259l,
0x40c0e5d770be02f7l },
0 },
/* 11 << 168 */
{ { 0x6a4590f4721b33f2l,0x2124f1fbfedf04eal,0xf8e53cde9745efe7l,
0xe7e1043265f046d9l },
{ 0xc3fca28ee4d0c7e6l,0x847e339a87253b1bl,0x9b5953483743e643l,
0xcb6a0a0b4fd12fc5l },
0 },
/* 13 << 168 */
{ { 0xec1214eda714181dl,0x609ac13b6067b341l,0xff4b4c97a545df1fl,
0xa124050134d2076bl },
{ 0x6efa0c231409ca97l,0x254cc1a820638c43l,0xd4e363afdcfb46cdl,
0x62c2adc303942a27l },
0 },
/* 15 << 168 */
{ { 0x27b6a8ab3fd40e09l,0xe455842e77313ea9l,0x8b51d1e21f55988bl,
0x5716dd73062bbbfcl },
{ 0x633c11e54e8bf3del,0x9a0e77b61b85be3bl,0x565107290911cca6l,
0x27e76495efa6590fl },
0 },
/* 16 << 168 */
{ { 0xe4ac8b33070d3aabl,0x2643672b9a2cd5e5l,0x52eff79b1cfc9173l,
0x665ca49b90a7c13fl },
{ 0x5a8dda59b3efb998l,0x8a5b922d052f1341l,0xae9ebbab3cf9a530l,
0x35986e7bf56da4d7l },
0 },
/* 17 << 168 */
{ { 0x3a636b5cff3513ccl,0xbb0cf8ba3198f7ddl,0xb8d4052241f16f86l,
0x760575d8de13a7bfl },
{ 0x36f74e169f7aa181l,0x163a3ecff509ed1cl,0x6aead61f3c40a491l,
0x158c95fcdfe8fcaal },
0 },
/* 19 << 168 */
{ { 0x6b47accdd9eee96cl,0x0ca277fbe58cec37l,0x113fe413e702c42al,
0xdd1764eec47cbe51l },
{ 0x041e7cde7b3ed739l,0x50cb74595ce9e1c0l,0x355685132925b212l,
0x7cff95c4001b081cl },
0 },
/* 21 << 168 */
{ { 0x726f0973da50c991l,0x48afcd5b822d6ee2l,0xe5fc718b20fd7771l,
0xb9e8e77dfd0807a1l },
{ 0x7f5e0f4499a7703dl,0x6972930e618e36f3l,0x2b7c77b823807bbel,
0xe5b82405cb27ff50l },
0 },
/* 23 << 168 */
{ { 0x98cb1ae9255c0980l,0x4bd863812b4a739fl,0x5a5c31e11e4a45a1l,
0x1e5d55fe9cb0db2fl },
{ 0x74661b068ff5cc29l,0x026b389f0eb8a4f4l,0x536b21a458848c24l,
0x2e5bf8ec81dc72b0l },
0 },
/* 25 << 168 */
{ { 0x9f0af483d309cbe6l,0x5b020d8ae0bced4fl,0x606e986db38023e3l,
0xad8f2c9d1abc6933l },
{ 0x19292e1de7400e93l,0xfe3e18a952be5e4dl,0xe8e9771d2e0680bfl,
0x8c5bec98c54db063l },
0 },
/* 27 << 168 */
{ { 0x4c23f62a2c160dcdl,0x34e6c5e38f90eaefl,0x35865519a9a65d5al,
0x07c48aae8fd38a3dl },
{ 0xb7e7aeda50068527l,0x2c09ef231c90936al,0x31ecfeb6e879324cl,
0xa0871f6bfb0ec938l },
0 },
/* 28 << 168 */
{ { 0xb1f0fb68d84d835dl,0xc90caf39861dc1e6l,0x12e5b0467594f8d7l,
0x26897ae265012b92l },
{ 0xbcf68a08a4d6755dl,0x403ee41c0991fbdal,0x733e343e3bbf17e8l,
0xd2c7980d679b3d65l },
0 },
/* 29 << 168 */
{ { 0x33056232d2e11305l,0x966be492f3c07a6fl,0x6a8878ffbb15509dl,
0xff2211010a9b59a4l },
{ 0x6c9f564aabe30129l,0xc6f2c940336e64cfl,0x0fe752628b0c8022l,
0xbe0267e96ae8db87l },
0 },
/* 31 << 168 */
{ { 0x9d031369a5e829e5l,0xcbb4c6fc1607aa41l,0x75ac59a6241d84c1l,
0xc043f2bf8829e0eel },
{ 0x82a38f758ea5e185l,0x8bda40b9d87cbd9fl,0x9e65e75e2d8fc601l,
0x3d515f74a35690b3l },
0 },
/* 33 << 168 */
{ { 0xf6b5b2d0bc8fa5bcl,0x8a5ead67500c277bl,0x214625e6dfa08a5dl,
0x51fdfedc959cf047l },
{ 0x6bc9430b289fca32l,0xe36ff0cf9d9bdc3fl,0x2fe187cb58ea0edel,
0xed66af205a900b3fl },
0 },
/* 34 << 168 */
{ { 0x00e0968b5fa9f4d6l,0x2d4066ce37a362e7l,0xa99a9748bd07e772l,
0x710989c006a4f1d0l },
{ 0xd5dedf35ce40cbd8l,0xab55c5f01743293dl,0x766f11448aa24e2cl,
0x94d874f8605fbcb4l },
0 },
/* 35 << 168 */
{ { 0xa365f0e8a518001bl,0xee605eb69d04ef0fl,0x5a3915cdba8d4d25l,
0x44c0e1b8b5113472l },
{ 0xcbb024e88b6740dcl,0x89087a53ee1d4f0cl,0xa88fa05c1fc4e372l,
0x8bf395cbaf8b3af2l },
0 },
/* 36 << 168 */
{ { 0x1e71c9a1deb8568bl,0xa35daea080fb3d32l,0xe8b6f2662cf8fb81l,
0x6d51afe89490696al },
{ 0x81beac6e51803a19l,0xe3d24b7f86219080l,0x727cfd9ddf6f463cl,
0x8c6865ca72284ee8l },
0 },
/* 37 << 168 */
{ { 0x32c88b7db743f4efl,0x3793909be7d11dcel,0xd398f9222ff2ebe8l,
0x2c70ca44e5e49796l },
{ 0xdf4d9929cb1131b1l,0x7826f29825888e79l,0x4d3a112cf1d8740al,
0x00384cb6270afa8bl },
0 },
/* 39 << 168 */
{ { 0xbe7e990ff0d796a0l,0x5fc62478df0e8b02l,0x8aae8bf4030c00adl,
0x3d2db93b9004ba0fl },
{ 0xe48c8a79d85d5ddcl,0xe907caa76bb07f34l,0x58db343aa39eaed5l,
0x0ea6e007adaf5724l },
0 },
/* 40 << 168 */
{ { 0xe00df169d23233f3l,0x3e32279677cb637fl,0x1f897c0e1da0cf6cl,
0xa651f5d831d6bbddl },
{ 0xdd61af191a230c76l,0xbd527272cdaa5e4al,0xca753636d0abcd7el,
0x78bdd37c370bd8dcl },
0 },
/* 41 << 168 */
{ { 0xc23916c217cd93fel,0x65b97a4ddadce6e2l,0xe04ed4eb174e42f8l,
0x1491ccaabb21480al },
{ 0x145a828023196332l,0x3c3862d7587b479al,0x9f4a88a301dcd0edl,
0x4da2b7ef3ea12f1fl },
0 },
/* 43 << 168 */
{ { 0x71965cbfc3dd9b4dl,0xce23edbffc068a87l,0xb78d4725745b029bl,
0x74610713cefdd9bdl },
{ 0x7116f75f1266bf52l,0x0204672218e49bb6l,0xdf43df9f3d6f19e3l,
0xef1bc7d0e685cb2fl },
0 },
/* 44 << 168 */
{ { 0xcddb27c17078c432l,0xe1961b9cb77fedb7l,0x1edc2f5cc2290570l,
0x2c3fefca19cbd886l },
{ 0xcf880a36c2af389al,0x96c610fdbda71ceal,0xf03977a932aa8463l,
0x8eb7763f8586d90al },
0 },
/* 45 << 168 */
{ { 0x3f3424542a296e77l,0xc871868342837a35l,0x7dc710906a09c731l,
0x54778ffb51b816dbl },
{ 0x6b33bfecaf06defdl,0xfe3c105f8592b70bl,0xf937fda461da6114l,
0x3c13e6514c266ad7l },
0 },
/* 46 << 168 */
{ { 0xe363a829855938e8l,0x2eeb5d9e9de54b72l,0xbeb93b0e20ccfab9l,
0x3dffbb5f25e61a25l },
{ 0x7f655e431acc093dl,0x0cb6cc3d3964ce61l,0x6ab283a1e5e9b460l,
0x55d787c5a1c7e72dl },
0 },
/* 47 << 168 */
{ { 0x4d2efd47deadbf02l,0x11e80219ac459068l,0x810c762671f311f0l,
0xfa17ef8d4ab6ef53l },
{ 0xaf47fd2593e43bffl,0x5cb5ff3f0be40632l,0x546871068ee61da3l,
0x7764196eb08afd0fl },
0 },
/* 48 << 168 */
{ { 0x831ab3edf0290a8fl,0xcae81966cb47c387l,0xaad7dece184efb4fl,
0xdcfc53b34749110el },
{ 0x6698f23c4cb632f9l,0xc42a1ad6b91f8067l,0xb116a81d6284180al,
0xebedf5f8e901326fl },
0 },
/* 49 << 168 */
{ { 0xf2274c9f97e3e044l,0x4201852011d09fc9l,0x56a65f17d18e6e23l,
0x2ea61e2a352b683cl },
{ 0x27d291bc575eaa94l,0x9e7bc721b8ff522dl,0x5f7268bfa7f04d6fl,
0x5868c73faba41748l },
0 },
/* 51 << 168 */
{ { 0x1c52e63596e78cc4l,0x5385c8b20c06b4a8l,0xd84ddfdbb0e87d03l,
0xc49dfb66934bafadl },
{ 0x7071e17059f70772l,0x3a073a843a1db56bl,0x034949033b8af190l,
0x7d882de3d32920f0l },
0 },
/* 52 << 168 */
{ { 0x91633f0ab2cf8940l,0x72b0b1786f948f51l,0x2d28dc30782653c8l,
0x88829849db903a05l },
{ 0xb8095d0c6a19d2bbl,0x4b9e7f0c86f782cbl,0x7af739882d907064l,
0xd12be0fe8b32643cl },
0 },
/* 53 << 168 */
{ { 0x358ed23d0e165dc3l,0x3d47ce624e2378cel,0x7e2bb0b9feb8a087l,
0x3246e8aee29e10b9l },
{ 0x459f4ec703ce2b4dl,0xe9b4ca1bbbc077cfl,0x2613b4f20e9940c1l,
0xfc598bb9047d1eb1l },
0 },
/* 55 << 168 */
{ { 0x52fb0c9d7fc63668l,0x6886c9dd0c039cdel,0x602bd59955b22351l,
0xb00cab02360c7c13l },
{ 0x8cb616bc81b69442l,0x41486700b55c3ceel,0x71093281f49ba278l,
0xad956d9c64a50710l },
0 },
/* 57 << 168 */
{ { 0xbaca6591d4b66947l,0xb452ce9804460a8cl,0x6830d24643768f55l,
0xf4197ed87dff12dfl },
{ 0x6521b472400dd0f7l,0x59f5ca8f4b1e7093l,0x6feff11b080338ael,
0x0ada31f6a29ca3c6l },
0 },
/* 59 << 168 */
{ { 0x04e5dfe0d809c7bdl,0xd7b2580c8f1050abl,0x6d91ad78d8a4176fl,
0x0af556ee4e2e897cl },
{ 0x162a8b73921de0acl,0x52ac9c227ea78400l,0xee2a4eeaefce2174l,
0xbe61844e6d637f79l },
0 },
/* 60 << 168 */
{ { 0x0491f1bc789a283bl,0x72d3ac3d880836f4l,0xaa1c5ea388e5402dl,
0x1b192421d5cc473dl },
{ 0x5c0b99989dc84cacl,0xb0a8482d9c6e75b8l,0x639961d03a191ce2l,
0xda3bc8656d837930l },
0 },
/* 61 << 168 */
{ { 0xca990653056e6f8fl,0x84861c4164d133a7l,0x8b403276746abe40l,
0xb7b4d51aebf8e303l },
{ 0x05b43211220a255dl,0xc997152c02419e6el,0x76ff47b6630c2feal,
0x50518677281fdadel },
0 },
/* 63 << 168 */
{ { 0x6d2d99b7ea7b979bl,0xcd78cd74e6fb3bcdl,0x11e45a9e86cffbfel,
0x78a61cf4637024f6l },
{ 0xd06bc8723d502295l,0xf1376854458cb288l,0xb9db26a1342f8586l,
0xf33effcf4beee09el },
0 },
/* 64 << 168 */
{ { 0xd7e0c4cdb30cfb3al,0x6d09b8c16c9db4c8l,0x40ba1a4207c8d9dfl,
0x6fd495f71c52c66dl },
{ 0xfb0e169f275264dal,0x80c2b746e57d8362l,0xedd987f749ad7222l,
0xfdc229af4398ec7bl },
0 },
/* 65 << 168 */
{ { 0xfe81af4609418a51l,0xdbb60b836f18e3a5l,0x5e7a86ea4566ec9cl,
0xb76ff40f25093925l },
{ 0x5fe6662c429c5554l,0xfc9ec35384e478cfl,0x73dbb5f3e8cfa761l,
0x031e506592f82709l },
0 },
/* 71 << 168 */
{ { 0x108c736abd49f2e0l,0xe230f2417487dcc8l,0x073fc4f8f74d939cl,
0x98532487e9745bbel },
{ 0x5208eb981714b10bl,0xec35d0510458725dl,0x35dbb60bf203f4b6l,
0x064299b27781ab38l },
0 },
/* 77 << 168 */
{ { 0x43cc7bbc02d26929l,0xeb00a683162d9607l,0x2af152b8ed9fa224l,
0xf24e8bee12257f0cl },
{ 0xdf065dd5d004b1cbl,0x6aa20bcf9f9908c6l,0x8e5e86b6941c593dl,
0x0e0034b398969717l },
0 },
/* 83 << 168 */
{ { 0x5be62e155c43b8fcl,0xd9e0adfc3c445636l,0xc5141df0e0d78f48l,
0xd134bbed2c277716l },
{ 0x79033a84598fe069l,0x6c704367b081614cl,0x55c45d66bf5bf772l,
0xf08744c57a444730l },
0 },
/* 89 << 168 */
{ { 0x866752091422b528l,0xdb297411c3e028eel,0x1f5575b040e1c3ccl,
0x85367b84d333b04fl },
{ 0x57864c86e9804aa9l,0xf13fa8e3439156dfl,0xa3b337e0464e0aecl,
0x0018dfd7f2ae382bl },
0 },
/* 95 << 168 */
{ { 0xe93cece9cea132fcl,0x985542d8f74e867al,0x2a3d18a5cc8fcf87l,
0xa0561055479d0039l },
{ 0x3513c7eaac4b3f9dl,0xc095967256477606l,0xa63960f330df8ad6l,
0x59ca8d53cc9ddcb3l },
0 },
/* 101 << 168 */
{ { 0x6d8e942b2f208191l,0xd49a6d9453fe5457l,0x2b55e391003010bal,
0x3dd1fd9fdf4605ebl },
{ 0xdc006a3358682886l,0x60a5e86c1bd9ac88l,0xc4bd320ed0cab8f2l,
0x7281e7cb7751855bl },
0 },
/* 107 << 168 */
{ { 0x7d564222e1881e7al,0x59061a89db0673c2l,0x1f9d607213f27313l,
0x5b3b29368ff3aeb7l },
{ 0x6cf2304ccf969f43l,0x8eff4a25e7f69ae5l,0xbaeb6411d17da4ffl,
0x666af0af9eea17ecl },
0 },
/* 113 << 168 */
{ { 0x6c0b811697f4cd0bl,0xcd7825d40e4ea852l,0x80158fb0677fef3dl,
0x5bb1a3aaa10ee693l },
{ 0xc5df66678066fc9bl,0x3200dc11f404d4a6l,0x58868950a8686d8el,
0xbdaaffb53770fabal },
0 },
/* 116 << 168 */
{ { 0xba6a9f84660326f5l,0x61c1e44161bc3e88l,0xfbf992a0bde85cf8l,
0xe704dd1e6f8c8f5fl },
{ 0x231caa0ab1d7d486l,0xd10616d8891cd571l,0x2ddada75c008833cl,
0x44337d6dad514c94l },
0 },
/* 119 << 168 */
{ { 0xd48678b8f6933cf0l,0x7b4d623e0b739471l,0x4ad620287b216238l,
0xb4d4918959c4fabel },
{ 0x8c2a1bdc296d42d5l,0x9235d0ec2fd3eb96l,0xfe271972f81c135bl,
0x82b5181741471e16l },
0 },
/* 125 << 168 */
{ { 0xe9aa8ce4051f8e81l,0x14484af67cd1391fl,0x53a361dcafb1656el,
0x6ad8ba02f4d9d0cbl },
{ 0xfb4385466c50a722l,0x2f1c5bbc7edb37f4l,0x8dc90ccb16e4b795l,
0xbcb32e1508127094l },
0 },
},
{
/* 0 << 176 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 176 */
{ { 0xb81d783e979f3925l,0x1efd130aaf4c89a7l,0x525c2144fd1bf7fal,
0x4b2969041b265a9el },
{ 0xed8e9634b9db65b6l,0x35c82e3203599d8al,0xdaa7a54f403563f3l,
0x9df088ad022c38abl },
0 },
/* 3 << 176 */
{ { 0x9e93ba24f111661el,0xedced484b105eb04l,0x96dc9ba1f424b578l,
0xbf8f66b7e83e9069l },
{ 0x872d4df4d7ed8216l,0xbf07f3778e2cbecfl,0x4281d89998e73754l,
0xfec85fbb8aab8708l },
0 },
/* 4 << 176 */
{ { 0x13b5bf22765fa7d0l,0x59805bf01d6a5370l,0x67a5e29d4280db98l,
0x4f53916f776b1ce3l },
{ 0x714ff61f33ddf626l,0x4206238ea085d103l,0x1c50d4b7e5809ee3l,
0x999f450d85f8eb1dl },
0 },
/* 5 << 176 */
{ { 0x82eebe731a3a93bcl,0x42bbf465a21adc1al,0xc10b6fa4ef030efdl,
0x247aa4c787b097bbl },
{ 0x8b8dc632f60c77dal,0x6ffbc26ac223523el,0xa4f6ff11344579cfl,
0x5825653c980250f6l },
0 },
/* 7 << 176 */
{ { 0xeda6c595d314e7bcl,0x2ee7464b467899edl,0x1cef423c0a1ed5d3l,
0x217e76ea69cc7613l },
{ 0x27ccce1fe7cda917l,0x12d8016b8a893f16l,0xbcd6de849fc74f6bl,
0xfa5817e2f3144e61l },
0 },
/* 9 << 176 */
{ { 0xc0b48d4e49ccd6d7l,0xff8fb02c88bd5580l,0xc75235e907d473b2l,
0x4fab1ac5a2188af3l },
{ 0x030fa3bc97576ec0l,0xe8c946e80b7e7d2fl,0x40a5c9cc70305600l,
0x6d8260a9c8b013b4l },
0 },
/* 10 << 176 */
{ { 0xe6c51073615cd9e4l,0x498ec047f1243c06l,0x3e5a8809b17b3d8cl,
0x5cd99e610cc565f1l },
{ 0x81e312df7851dafel,0xf156f5baa79061e2l,0x80d62b71880c590el,
0xbec9746f0a39faa1l },
0 },
/* 11 << 176 */
{ { 0x2b09d2c3cfdcf7ddl,0x41a9fce3723fcab4l,0x73d905f707f57ca3l,
0x080f9fb1ac8e1555l },
{ 0x7c088e849ba7a531l,0x07d35586ed9a147fl,0x602846abaf48c336l,
0x7320fd320ccf0e79l },
0 },
/* 13 << 176 */
{ { 0x92eb40907f8f875dl,0x9c9d754e56c26bbfl,0x158cea618110bbe7l,
0x62a6b802745f91eal },
{ 0xa79c41aac6e7394bl,0x445b6a83ad57ef10l,0x0c5277eb6ea6f40cl,
0x319fe96b88633365l },
0 },
/* 15 << 176 */
{ { 0x77f84203d39b8c34l,0xed8b1be63125eddbl,0x5bbf2441f6e39dc5l,
0xb00f6ee66a5d678al },
{ 0xba456ecf57d0ea99l,0xdcae0f5817e06c43l,0x01643de40f5b4baal,
0x2c324341d161b9bel },
0 },
/* 16 << 176 */
{ { 0x949c9976e1337c26l,0x6faadebdd73d68e5l,0x9e158614f1b768d9l,
0x22dfa5579cc4f069l },
{ 0xccd6da17be93c6d6l,0x24866c61a504f5b9l,0x2121353c8d694da1l,
0x1c6ca5800140b8c6l },
0 },
/* 17 << 176 */
{ { 0x4e77c5575b45afb4l,0xe9ded649efb8912dl,0x7ec9bbf542f6e557l,
0x2570dfff62671f00l },
{ 0x2b3bfb7888e084bdl,0xa024b238f37fe5b4l,0x44e7dc0495649aeel,
0x498ca2555e7ec1d8l },
0 },
/* 19 << 176 */
{ { 0x2e44d22526a1fc90l,0x0d6d10d24d70705dl,0xd94b6b10d70c45f4l,
0x0f201022b216c079l },
{ 0xcec966c5658fde41l,0xa8d2bc7d7e27601dl,0xbfcce3e1ff230be7l,
0x3394ff6b0033ffb5l },
0 },
/* 21 << 176 */
{ { 0x05d99be8b9c20cdal,0x89f7aad5d5cd0c98l,0x7ef936fe5bb94183l,
0x92ca0753b05cd7f2l },
{ 0x9d65db1174a1e035l,0x02628cc813eaea92l,0xf2d9e24249e4fbf2l,
0x94fdfd9be384f8b7l },
0 },
/* 23 << 176 */
{ { 0x29882d7c98379d44l,0xd000bdfb509edc8al,0xc6f95979e66fe464l,
0x504a6115fa61bde0l },
{ 0x56b3b871effea31al,0x2d3de26df0c21a54l,0x21dbff31834753bfl,
0xe67ecf4969269d86l },
0 },
/* 25 << 176 */
{ { 0xed29a56da16d4b34l,0x7fba9d09dca21c4fl,0x66d7ac006d8de486l,
0x6006198773a2a5e1l },
{ 0x8b400f869da28ff0l,0x3133f70843c4599cl,0x9911c9b8ee28cb0dl,
0xcd7e28748e0af61dl },
0 },
/* 27 << 176 */
{ { 0x6a7bb6a93b5bdb83l,0x08da65c0a4a72318l,0xc58d22aa63eb065fl,
0x1717596c1b15d685l },
{ 0x112df0d0b266d88bl,0xf688ae975941945al,0x487386e37c292cacl,
0x42f3b50d57d6985cl },
0 },
/* 28 << 176 */
{ { 0x69e3be0427596893l,0xb6bb02a645bf452bl,0x0875c11af4c698c8l,
0x6652b5c7bece3794l },
{ 0x7b3755fd4f5c0499l,0x6ea16558b5532b38l,0xd1c69889a2e96ef7l,
0x9c773c3a61ed8f48l },
0 },
/* 29 << 176 */
{ { 0x5a304ada8545d185l,0x82ae44ea738bb8cbl,0x628a35e3df87e10el,
0xd3624f3da15b9fe3l },
{ 0xcc44209b14be4254l,0x7d0efcbcbdbc2ea5l,0x1f60336204c37bbel,
0x21f363f556a5852cl },
0 },
/* 31 << 176 */
{ { 0x81262e4225346689l,0x716da290b07c7004l,0x35f911eab7950ee3l,
0x6fd72969261d21b5l },
{ 0x5238980308b640d3l,0x5b0026ee887f12a1l,0x20e21660742e9311l,
0x0ef6d5415ff77ff7l },
0 },
/* 33 << 176 */
{ { 0x64aa0874925dd0b0l,0x5ffd503851c474c6l,0x4478c72c8ebd4157l,
0xb98694cb8c8375e2l },
{ 0xeda4edeecd8e208cl,0xf98a053d2c0670a6l,0x564bd3057f346b9dl,
0xafbbf3e94c318fddl },
0 },
/* 34 << 176 */
{ { 0x8a03410aa96c4685l,0xef1b6b16a978a31bl,0x44738a3b629df6cfl,
0xa1dc65da807713e9l },
{ 0x569cc7884c373442l,0x1f30a2464965fb52l,0x56822f1677ff5e2el,
0x63f18812e303748bl },
0 },
/* 35 << 176 */
{ { 0x2abdc403dd0983ecl,0xec0c08c7f365c6f5l,0xe555083fbdb66b8bl,
0x593685bc4e8973ffl },
{ 0x737df3f920e9c705l,0x00c7bcc309c31a5al,0x5f1d23e2efdcb34dl,
0x79d9b382470f7949l },
0 },
/* 36 << 176 */
{ { 0x44a315645fd2eb1dl,0x4e7397263fdd1356l,0x9b96735463200efel,
0xcb70402e520bbb6al },
{ 0xcbc90d7e693d2642l,0x6fb00064bc9b4002l,0x95f2eab3d96f7150l,
0xb1619e3fe035f47al },
0 },
/* 37 << 176 */
{ { 0xd22d6073d1561bb7l,0x40666e4ba9928683l,0x90654dab8ab3f9b1l,
0x7625c507b8773421l },
{ 0x288f28220ca88cd2l,0xbb88114ed8d005c1l,0xbeec2b0af603a11bl,
0x8fdda60325f7949el },
0 },
/* 39 << 176 */
{ { 0x6503632d6ee4f1d0l,0xd5449747ea394840l,0xd696167a8abe13a1l,
0xc080f76e609ebaa9l },
{ 0x181acf0c10aa70d6l,0x70614461291e5e50l,0x7ade8e84b9f0c0a3l,
0xef1de9f2cb11b41el },
0 },
/* 40 << 176 */
{ { 0x2d5c3c848e592413l,0x727022961832ba2cl,0x22979b51596c6321l,
0x738f31cb5a04db64l },
{ 0x0bdaa6ca98f84ee5l,0x4e9e827c15e21eeel,0x4c59dbcc3ea632e0l,
0xed3404db5bc6f027l },
0 },
/* 41 << 176 */
{ { 0x2841f05cfbaf8b26l,0xac9830db5b243770l,0xde3ab1707787f324l,
0x1ee12efe079209bcl },
{ 0x2d3fd62d5bcf6e3cl,0x8a680655d60b0582l,0xdafc5061bc2b64a1l,
0xe0d91e7526a88788l },
0 },
/* 43 << 176 */
{ { 0x2d49c685426b1b1el,0x6c2149caeabb02f7l,0xa4697d7fde11984fl,
0xa0e32fb3ed3c8707l },
{ 0xb783e825f4ca12dal,0xb2666e2448770a50l,0x82d47f478660e923l,
0x6e36cd71fb4a984fl },
0 },
/* 44 << 176 */
{ { 0x3295a8ea43c66b92l,0x99387af6ac5d19d4l,0x545f9b1b8e9d2090l,
0x138b1c4c2660f530l },
{ 0xbfb05fd2ff872627l,0xb6614b0f4c3bc45cl,0x13defece62ca0fb0l,
0x82ddae134fededd8l },
0 },
/* 45 << 176 */
{ { 0x5a34499b871c4cbbl,0x3ab0e69a2eb6084bl,0xa8d0160025ef7755l,
0x5db8f611d9e70f5dl },
{ 0x63f9eb9a7afa95d7l,0x328b97f9706d7964l,0x8bcf9a0f4b71dfcal,
0x53d4c3042a5c7934l },
0 },
/* 46 << 176 */
{ { 0x0c87dd3a8768d9aal,0x201ce5a082f6a55fl,0xa3de6f3049ca4602l,
0x36f421422aeb5f17l },
{ 0x5c9962399817b77al,0x2584a10ae8d165acl,0x80f683d0c726f4aal,
0x524307502dcdfa48l },
0 },
/* 47 << 176 */
{ { 0x0c04399f94683df2l,0x0978e9d4e954838dl,0x01faa5e8cf4a7a7bl,
0x92f6e6a90dae61cfl },
{ 0x0c0f1293373dc957l,0x8320178fd8cc6b67l,0x4af977ed4b6444f2l,
0xd8c9a401ad8e5f84l },
0 },
/* 48 << 176 */
{ { 0xbd5660ed9aed9f40l,0x70ca6ad1532a8c99l,0xc4978bfb95c371eal,
0xe5464d0d7003109dl },
{ 0x1af32fdfd9e535efl,0xabf57ea798c9185bl,0xed7a741712b42488l,
0x8e0296a7e97286fal },
0 },
/* 49 << 176 */
{ { 0x79ee35ac16fca804l,0x8f16e6165f59782el,0x8fbef1011737694el,
0xb34b7625462be08bl },
{ 0x7e63e1b016e75c91l,0xb6a18edd2d23728dl,0xcf761a1e7f299ab6l,
0x796dcdebf16c770el },
0 },
/* 51 << 176 */
{ { 0x47354f22308ee4afl,0x96959a538ecd6f4bl,0xf60b5f104055cbd2l,
0x04b1c9599bd86095l },
{ 0x26accd8486008564l,0x46b2fe0478f31ea7l,0x5500dbf72dd76f23l,
0x36bcdf584c496c6fl },
0 },
/* 52 << 176 */
{ { 0x8836cd431527d7cel,0x1f236623187a50eal,0x6470c0ae847221f0l,
0xc61f86b47e449110l },
{ 0x7cc9cc20fa9fcec1l,0xa394903019134349l,0xafe5a08ff53ab467l,
0x9caba02301ed2919l },
0 },
/* 53 << 176 */
{ { 0xffecbdce406abf1el,0x0ef4bcd73ae340d4l,0x7e37bae0e19d5613l,
0xe191669be4c6e97al },
{ 0x9fafe59797292db7l,0xab7ef3713172d716l,0x9f0fff330ce3b533l,
0xca94ff8f932dd8cfl },
0 },
/* 55 << 176 */
{ { 0x659c8b5d78aea69el,0xdde7ab46476a8fb9l,0x26bfe303bd01b5e6l,
0xf3dfb08a726a937cl },
{ 0xe7a591fa0a263670l,0xe872c3f8f97434a0l,0x4881a82e2e0f2c21l,
0x17624e48788ef958l },
0 },
/* 57 << 176 */
{ { 0xd526d66da7222e5bl,0xd33bb78efeb00e25l,0x9a7d670b932c8d08l,
0xea31e5273cee093fl },
{ 0x55cc091bd04b7a43l,0x12b08d6dd01a123dl,0x1d98a6467fb0e7bal,
0xdabb09483535fd0dl },
0 },
/* 59 << 176 */
{ { 0x2862314d08b69b19l,0x9cf302e191effcfal,0x43bdc8462ead917al,
0x21b238bbf94b3d8fl },
{ 0xa3736160e2f465d3l,0x4d7fb6818541e255l,0x46fa089a23551edcl,
0xf7c41d17c1fefa8cl },
0 },
/* 60 << 176 */
{ { 0x8ed0807fed113000l,0x8e1672d04c691484l,0x33a13ab31ee86ca0l,
0x9df0d9573bcaee4fl },
{ 0x0cf0c638ef0dfb71l,0x1e0fe22ac2c9510al,0x43f506716fcc6a21l,
0xccb58404cec03a94l },
0 },
/* 61 << 176 */
{ { 0x59547e37fd0936c1l,0x81e0517df45140b1l,0xcc6ccd89ed49e3fcl,
0xc2fa23eff3b897del },
{ 0x149511ef2050c80al,0xf66bea6b3140b833l,0xbbe1401e2786d723l,
0x0aeb549c887509bcl },
0 },
/* 63 << 176 */
{ { 0xf938e85060f5867al,0x806e1fff72429adcl,0x5ff7962a45f43b52l,
0xd8375ab6b2bbb403l },
{ 0x00d5819b21b287fcl,0x15c7190ebae37d58l,0x075ce5ce05fcfb07l,
0x76368d06dbc003cbl },
0 },
/* 64 << 176 */
{ { 0x01079383171b445fl,0x9bcf21e38131ad4cl,0x8cdfe205c93987e8l,
0xe63f4152c92e8c8fl },
{ 0x729462a930add43dl,0x62ebb143c980f05al,0x4f3954e53b06e968l,
0xfe1d75ad242cf6b1l },
0 },
/* 65 << 176 */
{ { 0x1cf508197630655el,0x9b4685c408d417f5l,0x6ea942619b049259l,
0x31c29b54fe73b755l },
{ 0x3d2872a1f1f2af17l,0xbcd1139956bcbc4bl,0x4d14f59890d7a85cl,
0xd2c46040dbcbe998l },
0 },
/* 71 << 176 */
{ { 0x3c8a06ca9792c42al,0x92535628602460ddl,0xa95e13f2ddd4c676l,
0xe823841d3b20d463l },
{ 0x0248605bbfad6051l,0x82985dd61af51233l,0x3d243a5cdef7d742l,
0x0a88ce55ff6aa911l },
0 },
/* 77 << 176 */
{ { 0xcf5b5962449aec98l,0x40322a6531a41389l,0xcd15606fd72c0527l,
0xfe91eac7b90d65a0l },
{ 0xcd32415487636360l,0x82f2c7bdfc653a6fl,0xd04d138ae315ce7cl,
0x40ebfd5e78118dbcl },
0 },
/* 83 << 176 */
{ { 0x0f9ea6ae4144660fl,0x02345c6513279b25l,0x139497b65c7671cbl,
0x7259f14b2ebed1d5l },
{ 0xa1e5d98ce9b29988l,0xaed0efcd8df73ac8l,0x88339f073b81a77cl,
0x28f2bbca7109c8a6l },
0 },
/* 89 << 176 */
{ { 0xa264f99d811472ddl,0x0e7eae0afc07a80cl,0x77f264d4a683cdc6l,
0x0512df49d053c668l },
{ 0x2b4dfbade61dea15l,0x83de61acfd74890al,0xd2552bab32d41182l,
0x1fb9411435924e6al },
0 },
/* 95 << 176 */
{ { 0x85efe53ade23c988l,0x89d41dbbf897f91bl,0x1357f91e7873fa8dl,
0x7a6ec2e3718d911cl },
{ 0xf9e4f92e8f209a01l,0x4ffb96a70fdd67f3l,0x4c81a787f83dde1cl,
0x0d68fce15e163b60l },
0 },
/* 101 << 176 */
{ { 0xbc79b4b26ab6da9dl,0xb4be5c278bb005f1l,0x63624530cd3b280bl,
0x543142f04e880026l },
{ 0xbf7fb14cad90ddbfl,0xfe456e8a3966732dl,0x85499fb987ce35e9l,
0x8af09e6b24f1305dl },
0 },
/* 107 << 176 */
{ { 0x5fc563ec16dc2b4bl,0xfe5631b25d0e535fl,0xbf4c489f9a93e36cl,
0x56badff1da2a07c4l },
{ 0x72ac6b77fb7c5595l,0x4b25b9428e6645d9l,0xeeae127251f0657el,
0x30779ca51abeb76bl },
0 },
/* 113 << 176 */
{ { 0x3d602ef5d909f43dl,0x2b2951a6bb347c79l,0x44903bfaa0d88896l,
0xd4ab20e8684c104fl },
{ 0x55f70b4dd9b7e626l,0x084b3ee646a5f9ecl,0x1799cbe3da4ae81al,
0xc7cfac937fd6b80fl },
0 },
/* 116 << 176 */
{ { 0x45647911ca20c525l,0x78f83186004706abl,0x5596377d97510538l,
0x047863defe041f8cl },
{ 0xaea784896ec82367l,0x9d4eac2601eee8fcl,0xb32728f19b57d9dbl,
0x60a158f5313c0f65l },
0 },
/* 119 << 176 */
{ { 0xf78caf129754377bl,0xa7fce16b6966f0c4l,0xfea937555a54a2b7l,
0x52d7f79b7cdfe951l },
{ 0x3e14b92e94b1dac0l,0x363f2e5af168b73bl,0xcc0e9dcb6436a8c2l,
0x2dbece4bb52cbd27l },
0 },
/* 125 << 176 */
{ { 0x7e7907ed8df38ffel,0xa68ec827e24e8a24l,0x5093a97e5f168732l,
0xa9ffea2f39ebb6dbl },
{ 0x89e02c12284276d4l,0xc1179e3b3f9502d6l,0x01becb51d8f69eb6l,
0x86eee2935eb1c73cl },
0 },
},
{
/* 0 << 184 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 184 */
{ { 0xf3b7963f4c830320l,0x842c7aa0903203e3l,0xaf22ca0ae7327afbl,
0x38e13092967609b6l },
{ 0x73b8fb62757558f1l,0x3cc3e831f7eca8c1l,0xe4174474f6331627l,
0xa77989cac3c40234l },
0 },
/* 3 << 184 */
{ { 0xb32cb8b0b796d219l,0xc3e95f4f34741dd9l,0x8721212568edf6f5l,
0x7a03aee4a2b9cb8el },
{ 0x0cd3c376f53a89aal,0x0d8af9b1948a28dcl,0xcf86a3f4902ab04fl,
0x8aacb62a7f42002dl },
0 },
/* 4 << 184 */
{ { 0xfd8e139f8f5fcda8l,0xf3e558c4bdee5bfdl,0xd76cbaf4e33f9f77l,
0x3a4c97a471771969l },
{ 0xda27e84bf6dce6a7l,0xff373d9613e6c2d1l,0xf115193cd759a6e9l,
0x3f9b702563d2262cl },
0 },
/* 5 << 184 */
{ { 0x9cb0ae6c252bd479l,0x05e0f88a12b5848fl,0x78f6d2b2a5c97663l,
0x6f6e149bc162225cl },
{ 0xe602235cde601a89l,0xd17bbe98f373be1fl,0xcaf49a5ba8471827l,
0x7e1a0a8518aaa116l },
0 },
/* 7 << 184 */
{ { 0x8b1e572235e6fc06l,0x3477728f0b3e13d5l,0x150c294daa8a7372l,
0xc0291d433bfa528al },
{ 0xc6c8bc67cec5a196l,0xdeeb31e45c2e8a7cl,0xba93e244fb6e1c51l,
0xb9f8b71b2e28e156l },
0 },
/* 9 << 184 */
{ { 0x343ac0a3ee9523f0l,0xbb75eab2975ea978l,0x1bccf332107387f4l,
0x790f92599ab0062el },
{ 0xf1a363ad1e4f6a5fl,0x06e08b8462519a50l,0x609151877265f1eel,
0x6a80ca3493ae985el },
0 },
/* 10 << 184 */
{ { 0xa3f4f521e447f2c4l,0x81b8da7a604291f0l,0xd680bc467d5926del,
0x84f21fd534a1202fl },
{ 0x1d1e31814e9df3d8l,0x1ca4861a39ab8d34l,0x809ddeec5b19aa4al,
0x59f72f7e4d329366l },
0 },
/* 11 << 184 */
{ { 0x2dfb9e08be0f4492l,0x3ff0da03e9d5e517l,0x03dbe9a1f79466a8l,
0x0b87bcd015ea9932l },
{ 0xeb64fc83ab1f58abl,0x6d9598da817edc8al,0x699cff661d3b67e5l,
0x645c0f2992635853l },
0 },
/* 13 << 184 */
{ { 0xd50e57c7d7fe71f3l,0x15342190bc97ce38l,0x51bda2de4df07b63l,
0xba12aeae200eb87dl },
{ 0xabe135d2a9b4f8f6l,0x04619d65fad6d99cl,0x4a6683a77994937cl,
0x7a778c8b6f94f09al },
0 },
/* 15 << 184 */
{ { 0x8dd1fb83425c6559l,0x7fc00ee60af06fdal,0xe98c922533d956dfl,
0x0f1ef3354fbdc8a2l },
{ 0x2abb5145b79b8ea2l,0x40fd2945bdbff288l,0x6a814ac4d7185db7l,
0xc4329d6fc084609al },
0 },
/* 16 << 184 */
{ { 0x511053e453544774l,0x834d0ecc3adba2bcl,0x4215d7f7bae371f5l,
0xfcfd57bf6c8663bcl },
{ 0xded2383dd6901b1dl,0x3b49fbb4b5587dc3l,0xfd44a08d07625f62l,
0x3ee4d65b9de9b762l },
0 },
/* 17 << 184 */
{ { 0x55ef9d3dcc26e8b0l,0xf869c827729b707al,0xdbbf450d8c47e00cl,
0x73d546ea60972ed7l },
{ 0x9563e11f0dcd6821l,0xe48e1af57d80de7fl,0xbe7139b49057838dl,
0xf3f0ad4d7e5ca535l },
0 },
/* 19 << 184 */
{ { 0xac66d1d49f8f8cc2l,0x43fe5c154ef18941l,0xbae77b6ddc30fcbfl,
0xdb95ea7d945723b7l },
{ 0x43298e2bda8097e2l,0x8004167baf22ea9bl,0x9cf5974196a83d57l,
0xb35c9aba3cf67d5el },
0 },
/* 21 << 184 */
{ { 0x0569a48df766f793l,0x6b4c7b16706b3442l,0xcc97754416ff41e0l,
0x800c56e31fee2e86l },
{ 0xce0c3d0fcdf93450l,0x6ec3703582f35916l,0x902520d5bbc11e68l,
0x7e2b988505078223l },
0 },
/* 23 << 184 */
{ { 0xb30d1769101da00bl,0xb26872d5113cfdb6l,0x7b0491da44e48db5l,
0x810e73bb2013f8c9l },
{ 0xc86e579a570f0b59l,0xf34107e37a918f34l,0x49286d00277473f1l,
0x74423f5abc85905dl },
0 },
/* 25 << 184 */
{ { 0x90d7417879de6b48l,0xe762caf0d14fa75bl,0xa309dcf3bd91ec5dl,
0x7aafe1ddf526d04fl },
{ 0x76911342d39e36ffl,0xe28994d2fabb34b8l,0xac23a92c863110cbl,
0x9f0f69673aabd166l },
0 },
/* 27 << 184 */
{ { 0x7436bdf47e333f98l,0x879cf31f2455af64l,0x07933a9cf6cfde92l,
0xfcac38a5b6e3203fl },
{ 0xa39b6a8098e5a6e0l,0x1d600b5da4837528l,0x54718de7c32d412bl,
0x02870f46317937ccl },
0 },
/* 28 << 184 */
{ { 0x1f13756db1761ec8l,0xe53c8b98a4b97e55l,0xb2aee3f84096cc28l,
0x48c361a0920f1a8dl },
{ 0xa98b672d8c31190al,0x7bc1e7d1001855d4l,0x242cfb07bf3f4b2al,
0x9bf44a3f32a28bc4l },
0 },
/* 29 << 184 */
{ { 0x96d4b271e36eeccdl,0x2d8c01b859237e23l,0x24f7a6eb8adf2653l,
0xc08ac4ab41183d80l },
{ 0xc35e5bb7036367c3l,0xd8c97cbc0ba59f61l,0x296b1f4c5aafe986l,
0xa519c7a17d179c37l },
0 },
/* 31 << 184 */
{ { 0x4043490790ae5f49l,0x8ac8f73649556b81l,0xb57a89b0f4e77a16l,
0xe1a1565d071020eal },
{ 0x4a27f34d3dda8450l,0x65af18b9bc395814l,0xaf21939f9ff49991l,
0x47e00639b4af7691l },
0 },
/* 33 << 184 */
{ { 0x4b3e263246b1f9b2l,0x6457d838efde99d3l,0x77d5142325e56171l,
0xb45de3df7d54996cl },
{ 0x1ee2dd3194098d98l,0x986896141f3ebdc5l,0x2704a107997efb47l,
0x96b502eecb11e520l },
0 },
/* 34 << 184 */
{ { 0x58c8039ec19f866el,0xc84c053e386c2644l,0xb3708ab049435704l,
0x1b70c3c86fc47b24l },
{ 0x235582a27f095649l,0x0d344b66673c9a9el,0x777c9e71e2b00efdl,
0x91691d6e5b877856l },
0 },
/* 35 << 184 */
{ { 0x11c663c49cd31e22l,0x46ae0bd95fb943d7l,0x6e36bca6a392fc01l,
0x4f8cc3a77948716fl },
{ 0x10ae9d6b3aa4bbb0l,0xcc9b6cb5d8001a86l,0x012c8e3aa0a4ceedl,
0xe462971e52274942l },
0 },
/* 36 << 184 */
{ { 0x9982e2ac42e176a5l,0x324eba46e2782b64l,0x3d8caaafe18350f5l,
0xf3d82af2f5d674cal },
{ 0xc2090fed56600d1el,0x4548e0ef5950de07l,0xb2f0023f765a4febl,
0xb303103339f16790l },
0 },
/* 37 << 184 */
{ { 0xb94095dc7bdacf7al,0x0e73db39509b310al,0x76e99a6b41b5f772l,
0xef40e9c596f3dbd7l },
{ 0xd0d644f980f2179el,0xe0db831d5a89807el,0xa0188493c2a2d6c6l,
0xf2d9a85e5ba9faa9l },
0 },
/* 39 << 184 */
{ { 0x598b7876cdd95b93l,0x5f7cc827336966e8l,0x01887109e797f102l,
0x665671c446c7c296l },
{ 0xb314793c6e019c72l,0x5a6c81580e0329acl,0x4faf2f1b44281b98l,
0x825884072e1fc97el },
0 },
/* 40 << 184 */
{ { 0xa692781d61a3c8b3l,0x08bc385432876d0el,0xbecf05fb28027b03l,
0x636c687da4b1e12fl },
{ 0x00e3003d07217c58l,0x613ba9375e01b2a3l,0xa58c8405881de16el,
0xc653c43014f8f48bl },
0 },
/* 41 << 184 */
{ { 0x68e53c7c89c0c7c2l,0xf2e680b23c423272l,0xacd47fae60f50133l,
0x4c484c6534f05605l },
{ 0x663bdcf9ebffbb7dl,0xb49cff3be42421c6l,0x0549f7b13f53f261l,
0xc516aeda7c374766l },
0 },
/* 43 << 184 */
{ { 0xa515fe0f76a0ec26l,0xf727c0797b0b8b21l,0xaeed4c671993651el,
0x1465a7f828ac7c87l },
{ 0x776bd5131f0ef90bl,0x57515d2cd9773e61l,0x235455e95564c50bl,
0xf44daef80bf06a24l },
0 },
/* 44 << 184 */
{ { 0xbc1c6897d6a0d0f9l,0xd8e0ea0e3b0d7f55l,0xb35baa92b85b7aadl,
0x2becd1b7674e48f4l },
{ 0xe2d7f78d6d7a9ac2l,0xf5074262f99c95d0l,0x4852470a89f611e9l,
0xf7aa911992869decl },
0 },
/* 45 << 184 */
{ { 0x0bd1755b0ac4840fl,0x0f4c6c2aa22eef10l,0x3f72fe2d78d16dd9l,
0xb2d49200ff7096a4l },
{ 0xa5dead555ffca031l,0x1d013c320b65f4cfl,0x67e498582a23f441l,
0x55bae166d02412c0l },
0 },
/* 46 << 184 */
{ { 0x546dd4545739a62al,0x353dc1422a30b836l,0x1462449d99cbd704l,
0xda02d0772da69411l },
{ 0xcb115fe565b1a1adl,0x395235f501230a22l,0x8ae630eed164d970l,
0x60b679f0074e3a7el },
0 },
/* 47 << 184 */
{ { 0x2e64695245d231e1l,0xc96663ac00d8a0fbl,0xc1fbaa0cd07e1f41l,
0x4b31484488758781l },
{ 0xd6971a835183e72el,0xd1d01f174cbe99b7l,0xe90b438c5a2f7512l,
0xf858fa452957c620l },
0 },
/* 48 << 184 */
{ { 0xed7f2e774e6daae2l,0x7b3ae0e39e0a19bcl,0xd3293f8a91ae677el,
0xd363b0cb45c8611fl },
{ 0xbe1d1ccf309ae93bl,0xa3f80be73920cae1l,0xaaacba74498edf01l,
0x1e6d2a4ab2f5ac90l },
0 },
/* 49 << 184 */
{ { 0xb5c5bb67b972a778l,0xc2423a4a190f9b5al,0x4e693cf365247948l,
0xc37d129ea94a65a3l },
{ 0xbea4736b6e9cd47bl,0xf3d1bd212338f524l,0xa2a0278e067a45dal,
0xc86d631b5b5dce9bl },
0 },
/* 51 << 184 */
{ { 0xc2d75f46116952cel,0xd2b66269b75e40dal,0x024f670f921c4111l,
0x37ffd854c91fd490l },
{ 0x6be44d0385b2f613l,0x040cd7d9ba11c4f9l,0x04c1cb762c0efb1fl,
0xd905ff4f505e4698l },
0 },
/* 52 << 184 */
{ { 0x60c5f03f233550f1l,0xd4d09411925afd2el,0xa95b65c3d258e5a6l,
0x1a19cfb59f902c6al },
{ 0xb486013af5ad5c68l,0xa2506776979638f3l,0x1232b4d0a38e0b28l,
0xa64784b8d36a7b4fl },
0 },
/* 53 << 184 */
{ { 0x22c75830a13dcb47l,0xd6e81258efd7a08fl,0x6db703b6e4fc49b8l,
0x8a5ac636f01817e9l },
{ 0x8d27b6e1b3f24514l,0x40edc3bc708c51d7l,0x9a1eec7765bb086dl,
0x812ccb42b10800f8l },
0 },
/* 55 << 184 */
{ { 0x1a39c6acd4338453l,0x3d93822954b1295dl,0x7bf0bf45e0d81165l,
0x83d58ca5972804d2l },
{ 0x105d3ddb00524b94l,0x65d516e7920378ecl,0x1d28f5f1aea33926l,
0xa0b354313901c906l },
0 },
/* 57 << 184 */
{ { 0x000442a1e4f354del,0x165b44d9d1d112f5l,0x67fd9ced0d05c0a9l,
0xd6ce074360bd5d60l },
{ 0x9ac80c931522af2al,0x8232d522fa07d449l,0x287b5534c3fdb652l,
0x9f0548b3abd2ab98l },
0 },
/* 59 << 184 */
{ { 0xde8d7086b9aea1d4l,0x692180d98a7dc3fcl,0xd64ffb53bad3e6f3l,
0x84628acf36ce3f91l },
{ 0xf76e470b6d498ac5l,0xa16945547abad602l,0x5b8fd6a5a255c1f6l,
0xffe24e4a8576ae2al },
0 },
/* 60 << 184 */
{ { 0x5655179de7d70e03l,0x3e780c5c72a84570l,0xc102b4cb1d50029cl,
0x3e71bdd5f075e839l },
{ 0x6460f4f0b498b822l,0x2682e06c6d4b8da5l,0x4eae53c996a740d4l,
0xc19d8bef6389702cl },
0 },
/* 61 << 184 */
{ { 0x711be2081025fe1dl,0x2e562c89f0bc6a99l,0xcfd2be3a28bf4150l,
0x33037b4a38e5bc91l },
{ 0x10c6da9df52fea02l,0x511f62444f0ea410l,0x19d37ca81a294c3fl,
0x7e40f444618e6fd3l },
0 },
/* 63 << 184 */
{ { 0x4095f5ddbedb8734l,0x9c16027c4432f51al,0xced8179d873d0f11l,
0x70c2bc9f6ebe6e61l },
{ 0x5c31035d616cf2f4l,0xf92e0fbd00a4af3dl,0xe6048a03511893c4l,
0x639a804b52e2f462l },
0 },
/* 64 << 184 */
{ { 0x8735728dc2c6ff70l,0x79d6122fc5dc2235l,0x23f5d00319e277f9l,
0x7ee84e25dded8cc7l },
{ 0x91a8afb063cd880al,0x3f3ea7c63574af60l,0x0cfcdc8402de7f42l,
0x62d0792fb31aa152l },
0 },
/* 65 << 184 */
{ { 0x0f4bcefd9da373e4l,0x7278f44d119271a3l,0xb2dff94449e111c0l,
0xb0a3abf8e5d2b2d4l },
{ 0x01baabb48ea80631l,0x27517ed3da305f85l,0x0a1ca6fc3f56aa86l,
0x183d9c7694c22839l },
0 },
/* 71 << 184 */
{ { 0xe9a0dfbf22e238d7l,0x8690dfd97e8d8d31l,0xb3cb2a0d4006c59cl,
0xe4d297caa1850d74l },
{ 0x066f10517842d14cl,0x68dd32737d43602bl,0x1f9f5cf931345f39l,
0x44f18c2b10593890l },
0 },
/* 77 << 184 */
{ { 0x8d8c0233a7c3f60bl,0xfb59fe2d2bcbbd4cl,0xfa311680dc3e5b44l,
0xb3cba9f3fbea5eedl },
{ 0xcb353b2f61e0e690l,0x06edf0c1b6e0efe0l,0xa29578cb1d0c02a2l,
0xaeb2d677937fec07l },
0 },
/* 83 << 184 */
{ { 0xa19a81c5cdd0cac9l,0x5c10b942ec9cf85bl,0x0843ef4639e8c298l,
0xcfd45d0e6c043258l },
{ 0x1011bcb9fb7e4b58l,0xae6362a544402bbdl,0x9ecc8c68ec15d751l,
0xbc05998869d1a00bl },
0 },
/* 89 << 184 */
{ { 0xe9a43619460147e3l,0x881a6af423067448l,0x94f93ae6cee17a6bl,
0x469e692f10782558l },
{ 0x01e244a1289bdb32l,0x240645779dddf970l,0x664cbd92d8f521ecl,
0xadaf8ffb600222d0l },
0 },
/* 95 << 184 */
{ { 0x68314c740dbec437l,0x2095e1295ec75e2cl,0x8e88a3ddf0e6c606l,
0x40ac647d1230f6b2l },
{ 0x09d124aaa2e6b991l,0xa22f9e2bcc81037cl,0xc842b64d15c3a1c2l,
0x4d822becce808c65l },
0 },
/* 101 << 184 */
{ { 0xb02204d06ffb396bl,0x82eb6ecc881bead6l,0xf58432cebd6896c8l,
0xc243468da38f4b9dl },
{ 0x8486402df8e628bdl,0x5dd338a1a4df2401l,0x748a41ab0daac953l,
0xaa121d13e51e6235l },
0 },
/* 107 << 184 */
{ { 0x6daa0a4e50abc6aal,0x99fcc5bdeafb7cf2l,0xc705f64c4b8dbd2al,
0x7deff836e7b51e90l },
{ 0xd92f42b859a8180fl,0x3bb298f8618d24acl,0x2433aa7357a56438l,
0xcf29895b48a6a238l },
0 },
/* 113 << 184 */
{ { 0x74079dc59ed25aafl,0x7988245c023d5143l,0x7edfc6a6feb79c24l,
0x7ed03c50a6baa70fl },
{ 0x71d3413596a753b4l,0x59efbafcef976246l,0xed050260a4a6947fl,
0xabbc1f8066254247l },
0 },
/* 116 << 184 */
{ { 0x1f804e00caa4646fl,0x8643dc8870944924l,0xa37f1ca273f86de9l,
0xa3199f9228889898l },
{ 0xc273ba580c1e4adfl,0x0f0d38af65bc82f0l,0xd8b28ab5f8a6cd3bl,
0xeea6e08575894d8el },
0 },
/* 119 << 184 */
{ { 0x398f39132c1620f7l,0x9046d2dea921f3a3l,0x40a25a2785b50bb0l,
0xb9adeca0d32e95f3l },
{ 0xa4199b1bdede5cbfl,0x9068aee084f5410bl,0x6665e4f5730f0397l,
0x2e9ba18c8ae20659l },
0 },
/* 125 << 184 */
{ { 0xd76e9b2351835897l,0x72a0e000012deda6l,0x5bf08922bfec23e4l,
0x8c2fcf1385cf2b7bl },
{ 0x6c42f935c63332c6l,0x8736c58395eccce9l,0x2d2abbb10721afc8l,
0x1f7a76cc42d4e029l },
0 },
},
{
/* 0 << 192 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 192 */
{ { 0x56f8410ef4f8b16al,0x97241afec47b266al,0x0a406b8e6d9c87c1l,
0x803f3e02cd42ab1bl },
{ 0x7f0309a804dbec69l,0xa83b85f73bbad05fl,0xc6097273ad8e197fl,
0xc097440e5067adc1l },
0 },
/* 3 << 192 */
{ { 0x266344a43794f8dcl,0xdcca923a483c5c36l,0x2d6b6bbf3f9d10a0l,
0xb320c5ca81d9bdf3l },
{ 0x620e28ff47b50a95l,0x933e3b01cef03371l,0xf081bf8599100153l,
0x183be9a0c3a8c8d6l },
0 },
/* 4 << 192 */
{ { 0xb6c185c341dca566l,0x7de7fedad8622aa3l,0x99e84d92901b6dfbl,
0x30a02b0e7c4ad288l },
{ 0xc7c81daa2fd3cf36l,0xd1319547df89e59fl,0xb2be8184cd496733l,
0xd5f449eb93d3412bl },
0 },
/* 5 << 192 */
{ { 0x25470fabe085116bl,0x04a4337587285310l,0x4e39187ee2bfd52fl,
0x36166b447d9ebc74l },
{ 0x92ad433cfd4b322cl,0x726aa817ba79ab51l,0xf96eacd8c1db15ebl,
0xfaf71e910476be63l },
0 },
/* 7 << 192 */
{ { 0x72cfd2e949dee168l,0x1ae052233e2af239l,0x009e75be1d94066al,
0x6cca31c738abf413l },
{ 0xb50bd61d9bc49908l,0x4a9b4a8cf5e2bc1el,0xeb6cc5f7946f83acl,
0x27da93fcebffab28l },
0 },
/* 9 << 192 */
{ { 0x3ce519ef76257c51l,0x6f5818d318d477e7l,0xab022e037963edc0l,
0xf0403a898bd1f5f3l },
{ 0xe43b8da0496033cal,0x0994e10ea1cfdd72l,0xb1ec6d20ba73c0e2l,
0x0329c9ecb6bcfad1l },
0 },
/* 10 << 192 */
{ { 0xf1ff42a12c84bd9dl,0x751f3ec4390c674al,0x27bb36f701e5e0cal,
0x65dfff515caf6692l },
{ 0x5df579c4cd7bbd3fl,0xef8fb29785591205l,0x1ded7203e47ac732l,
0xa93dc45ccd1c331al },
0 },
/* 11 << 192 */
{ { 0xbdec338e3318d2d4l,0x733dd7bbbe8de963l,0x61bcc3baa2c47ebdl,
0xa821ad1935efcbdel },
{ 0x91ac668c024cdd5cl,0x7ba558e4c1cdfa49l,0x491d4ce0908fb4dal,
0x7ba869f9f685bde8l },
0 },
/* 13 << 192 */
{ { 0xed1b5ec279f464bal,0x2d65e42c47d72e26l,0x8198e5749e67f926l,
0x4106673834747e44l },
{ 0x4637acc1e37e5447l,0x02cbc9ecf3e15822l,0x58a8e98e805aa83cl,
0x73facd6e5595e800l },
0 },
/* 15 << 192 */
{ { 0x468ff80338330507l,0x06f34ddf4037a53el,0x70cd1a408d6993a4l,
0xf85a159743e5c022l },
{ 0x396fc9c2c125a67dl,0x03b7bebf1064bfcbl,0x7c444592a9806dcbl,
0x1b02614b4487cd54l },
0 },
/* 16 << 192 */
{ { 0x8303604f692ac542l,0xf079ffe1227b91d3l,0x19f63e6315aaf9bdl,
0xf99ee565f1f344fbl },
{ 0x8a1d661fd6219199l,0x8c883bc6d48ce41cl,0x1065118f3c74d904l,
0x713889ee0faf8b1bl },
0 },
/* 17 << 192 */
{ { 0xb47b60f70de21bb6l,0x64acae4fdcd836cal,0x3375ea6dc744ce63l,
0xb764265fb047955bl },
{ 0xc68a5d4c9841c2c3l,0x60e98fd7cf454f60l,0xc701fbe2756aea0cl,
0x09c8885eaab21c79l },
0 },
/* 19 << 192 */
{ { 0x45bb810869d2d46cl,0xe47c8b3968c8365al,0xf3b87663267551bdl,
0x1590768f5b67547al },
{ 0x371c1db2fb2ed3ffl,0xe316691917a59440l,0x03c0d178df242c14l,
0x40c93fceed862ac1l },
0 },
/* 21 << 192 */
{ { 0x1286da692bc982d6l,0x5f6d80f27bdae7e3l,0x3d9c5647a6f064fbl,
0xfdc8e6a1d74c1540l },
{ 0x97da48c6d68b135al,0xc2097979d66dbfffl,0x0296adb9ea20531dl,
0xa333730d4ab2c8f0l },
0 },
/* 23 << 192 */
{ { 0x0eb3565429847fedl,0xfdc142860a673dd0l,0x721b36278b62dd0bl,
0x105a293e711a5771l },
{ 0xdf001cce7f761927l,0xf7b681b011d04c7dl,0x16dff792a3ac1996l,
0x580c120b0fc4ae30l },
0 },
/* 25 << 192 */
{ { 0x31ea3d4f7ee8d0bcl,0x3832f22a0f42c3dcl,0xc661061a1a87a2f4l,
0x0978c9f64b45576bl },
{ 0xb7abac3c6dfb5fd2l,0x27f36a00b7e01b90l,0x68f733cde9429e36l,
0x953a4681dcbfe8cbl },
0 },
/* 27 << 192 */
{ { 0xbfb7c41067fe1eafl,0xa2073c6a6929a785l,0x6f2536f4a75fdb79l,
0x859ad26d809bca69l },
{ 0x06f2c0693b197e7bl,0x656ad9f48ec0a573l,0xe7c7901f9a4d0262l,
0xbec29443b938602bl },
0 },
/* 28 << 192 */
{ { 0xd00397fc0f0073a4l,0x5b668fa46f8d675fl,0x14374ac91522108cl,
0x92efa7d10283e42el },
{ 0x673e6df90b6d024al,0x05f914d457581f26l,0xf5c8516267df8c12l,
0x1197f1b4e06c2462l },
0 },
/* 29 << 192 */
{ { 0x6e2d1cb3dd9c90c1l,0x28f82d5a7990579el,0x90e189cd06226195l,
0xbd2939df19b0dc74l },
{ 0x18b18505c0917177l,0xeed5470d3117d9c4l,0x39ef92eb6c893ca0l,
0x4533ef8244a41940l },
0 },
/* 31 << 192 */
{ { 0xcaee9dec34943ddal,0x8e50e98e8b4b6782l,0x24358ea591ea3a1fl,
0x71c4c827a9e1c194l },
{ 0xa38baa5d09bb7a94l,0xfb4ab4c057b58f9cl,0x4a01065e24e0ee19l,
0xb9cf805107b877bfl },
0 },
/* 33 << 192 */
{ { 0xd38c1ce0a2980d5el,0x8b84cca4541face7l,0x93298136dbd8d05dl,
0x582708d03f85c85al },
{ 0x6545eec7282960e4l,0x92e184aebaadec07l,0x05452564fd27a20fl,
0x79d4668abddce6ebl },
0 },
/* 34 << 192 */
{ { 0xf5cc5cccf5191707l,0xe800328bd5d01f67l,0x0572012ebd9b1599l,
0xf5be11a6863d0125l },
{ 0x4da7ca876ea441e0l,0x47dbf83b321b134al,0x5cbadcdac1acfb4al,
0x19ac798a734f8e25l },
0 },
/* 35 << 192 */
{ { 0xe312623a7002114fl,0xb888b637e047686bl,0x23b2c270cbac91bdl,
0xb50b31884dbfe02dl },
{ 0x8335ce43de97eef6l,0x6a4e65502bac193al,0xf2b35aac3101f720l,
0x5b2c88d5379a2015l },
0 },
/* 36 << 192 */
{ { 0xf445e77131547128l,0x22761665e27811cal,0x9b944e91a37c6681l,
0xc0aa06a536899860l },
{ 0x8c2b5816cfcd557el,0xf2734a19945aa357l,0x536ca07ca55a0049l,
0x8328fdccc636d967l },
0 },
/* 37 << 192 */
{ { 0x52b513616aca06bdl,0x8d19b893cdf16560l,0x06b28179c3b438cdl,
0xde1ef747cd1819e4l },
{ 0xbc6cc43b5f557985l,0xa277e11f61e0142al,0x58890f1e429cc392l,
0x28d17dbfe5fc8f5el },
0 },
/* 39 << 192 */
{ { 0x556df61a29a8f7cbl,0x5cf554dfd14ab27al,0x243f933ba755b886l,
0xa4d0b06ff2d4ce87l },
{ 0xa745eb8d2c0f1d39l,0xc228747aea3047a5l,0xced774c41d2cecc0l,
0x54a55c3a774fb01al },
0 },
/* 40 << 192 */
{ { 0xa691398a4a9eb3f0l,0x56c1dbff3b99a48fl,0x9a87e1b91b4b5b32l,
0xad6396145378b5fel },
{ 0x437a243ec26b5302l,0x0275878c3ccb4c10l,0x0e81e4a21de07015l,
0x0c6265c9850df3c0l },
0 },
/* 41 << 192 */
{ { 0x182c3f0e6be95db0l,0x8c5ab38cae065c62l,0xcce8294ebe23abacl,
0xed5b65c47d0add6dl },
{ 0xbce57d78cc9494cal,0x76f75c717f435877l,0xb3084b2eb06560a9l,
0x67216bc850b55981l },
0 },
/* 43 << 192 */
{ { 0x49c9fd92557de68bl,0x357aa44fc3151b7al,0xd36286d11e4aebd0l,
0x84562cd736a51203l },
{ 0x42a57e7c3cacc002l,0x794a47751b1e25a3l,0x2c2ab68cac0d4356l,
0xececb6addb31afdcl },
0 },
/* 44 << 192 */
{ { 0x47a5f010b4c21bfel,0x45c5610f0ac3dc20l,0x20e689fcea3bf4dcl,
0xf244ea49fb5f46e4l },
{ 0xd918e59e8ca38e45l,0x7d6c601d96189a6fl,0x1a40f03854138471l,
0xfe867d7308a9d034l },
0 },
/* 45 << 192 */
{ { 0x3b49e489100c0410l,0x8831d3992adc2b29l,0xb6726cd1247a8116l,
0x83a71a59d1d56d8el },
{ 0x82ade2fe5cd333e9l,0x3b087ef83ea11f1al,0x17b96ca66ce879cel,
0xc2f74a971871dc43l },
0 },
/* 46 << 192 */
{ { 0xa11a1e3680b576cel,0xf91278bbce2683e8l,0xc3bab95fbae8bc5bl,
0x642ca26397351715l },
{ 0x5ffc14726fecbbc1l,0x2465e996a23f36d4l,0x06fc53bf5187d428l,
0x54b4014351fbce91l },
0 },
/* 47 << 192 */
{ { 0x081ca6f0eafc7b2cl,0x1ba047a38c48703fl,0xe84865046663accfl,
0xde1f97568d43689cl },
{ 0xf5373e1d5bc19f75l,0x4e48c493d64b0a54l,0x0c43f4e25807dbf6l,
0x73bef15167778c36l },
0 },
/* 48 << 192 */
{ { 0xca6c0937b1b76ba6l,0x1a2eab854d2026dcl,0xb1715e1519d9ae0al,
0xf1ad9199bac4a026l },
{ 0x35b3dfb807ea7b0el,0xedf5496f3ed9eb89l,0x8932e5ff2d6d08abl,
0xf314874e25bd2731l },
0 },
/* 49 << 192 */
{ { 0x9d5322e89e9bba53l,0xdd7c9ceb989ff350l,0xd76147eadab0d7b3l,
0x8e45b1c6d7a9a9a1l },
{ 0x8f896a91d4f10c10l,0x999a73c54068de06l,0x84a9d0839cf0a779l,
0x4d7cc7689f608ab2l },
0 },
/* 51 << 192 */
{ { 0x1833ccddaee93c82l,0x6a05ef7b9f35f20fl,0xc538dac9ae413bc2l,
0x1e74f4658b4784bdl },
{ 0xccb2bc4a49ffd544l,0x9b88183d2b17ae88l,0x96037a136e43824fl,
0xbbb61441480bf3dfl },
0 },
/* 52 << 192 */
{ { 0x13319d20e090ad42l,0x4ff3186e12cbb719l,0xf38e504913fc0a46l,
0x83185a1254e60378l },
{ 0x08c4057797ea8935l,0x7b2212a946b614f9l,0xedcdfa520634cfb3l,
0xdbc60eed9e7d5726l },
0 },
/* 53 << 192 */
{ { 0x9b0785c6c7e1070fl,0xec112f53cbf561e5l,0xc93511e37fab3464l,
0x9e6dc4da9de8e0c2l },
{ 0x7733c425e206b4eel,0xb8b254ef50cedf29l,0xfaee4bbbd50ad285l,
0x216e76d58c4eb6cfl },
0 },
/* 55 << 192 */
{ { 0x9d6a28641d51f254l,0x26c5062a0c2822c3l,0xd74ebba8334bf4eel,
0x6e5446eb0b8f7305l },
{ 0x5988ae8eb629beccl,0x71e576d0a1de7d1dl,0x15e39592a8873970l,
0x2b1f9a9342ecc74el },
0 },
/* 57 << 192 */
{ { 0xcbdb70727c519bf9l,0x112986bbcaaf48e6l,0x64d4c6d1a13baf3cl,
0x85ccf6f7a065e77el },
{ 0x183be337749beaedl,0xb3703096cba6c9b1l,0x1edf81f0e42b8afel,
0xf04ed594ccb73ad7l },
0 },
/* 59 << 192 */
{ { 0xfa954ebc38491e9fl,0xf75a5808d32f0b03l,0x196d4a828083b9d3l,
0x92d5a0be5e8dc9fel },
{ 0x4a507ae9aea628bal,0xeea5861e11a02fb5l,0xa033b84fd23ec8f7l,
0x1a68c36ec60f11d5l },
0 },
/* 60 << 192 */
{ { 0x3dfb55bdab920ef2l,0xe0090971e6244484l,0xdc39fd08f7c6e1a3l,
0x1ca765356ee79e72l },
{ 0x472c8985287d590cl,0x67635e35ad6daeb4l,0x06ec4e7980f9fee3l,
0x0aceb39921dc5fdbl },
0 },
/* 61 << 192 */
{ { 0xdb2478fd9410a756l,0xd106aefe3a53a1e6l,0x1f4c940d14286333l,
0x6a98659d04950958l },
{ 0x3232a1c6a6bbe060l,0x19ad132ca5e7ca9bl,0x3c9c13ef800fae29l,
0x9b0d9068b8660f49l },
0 },
/* 63 << 192 */
{ { 0x1e7f043795c53027l,0x5221e5c0da9a3806l,0xf297d8e379d9385fl,
0x4d69e95f78ba697el },
{ 0xdda936cee76d13c1l,0xd9a5790a485b12f5l,0xeab84add51efbfd0l,
0xc9a3ee9ca9f44aa4l },
0 },
/* 64 << 192 */
{ { 0xefb26a753f73f449l,0x1d1c94f88d44fc79l,0x49f0fbc53bc0dc4dl,
0xb747ea0b3698a0d0l },
{ 0x5218c3fe228d291el,0x35b804b543c129d6l,0xfac859b8d1acc516l,
0x6c10697d95d6e668l },
0 },
/* 65 << 192 */
{ { 0x8c12e87a15454db4l,0xbc1fc546908e8fbcl,0xc35d83c7e4cf1636l,
0xcb2f5ac820641524l },
{ 0x2400aae2e644ecd0l,0x9b01e2d14be37119l,0x6cffd52831b54857l,
0xb3fd5d864b5cbf81l },
0 },
/* 71 << 192 */
{ { 0x2e999a4739709fb9l,0x4cb4bbdb62c2b30fl,0x4c7259ac09de0c92l,
0x73c1e34f8c59a0ffl },
{ 0x0a9e5f2e48cb0a12l,0x5e07449fcf499bb0l,0x0527a8b4b02c4a54l,
0x7381287159da01e4l },
0 },
/* 77 << 192 */
{ { 0xe0b876ca0548ff87l,0x74b5a9b25e03bae3l,0xd5564cc5dd0642d2l,
0x29ed211b668c4977l },
{ 0xf29d3b7aa7422b11l,0x17f2d3586d29b8bal,0x2e35cdda2bb887del,
0x650f148078e4444bl },
0 },
/* 83 << 192 */
{ { 0x8c75532fb47435ebl,0x2234e2c5a113f905l,0x27b75fea31508ae9l,
0x09733e40d489ad0bl },
{ 0x73b38464a1b06da1l,0x0aed522dc5b7ccf2l,0xcc04783e78d7e5afl,
0xa81c8a8ff23eaab7l },
0 },
/* 89 << 192 */
{ { 0x6bb5eca73c149ffal,0x4593d851c536487al,0x3675daaad85eb9edl,
0xbf65d0f9b8a58ffbl },
{ 0x1dc6ddddc22e83eel,0xb673397ee10d3c17l,0x6bdc20600ca62c93l,
0x260389c30b821f6dl },
0 },
/* 95 << 192 */
{ { 0x45f5cf07b417be10l,0x0acb1a44e5d561d8l,0x54b7baeafb1dfbe9l,
0x0e6e66219044672el },
{ 0xa9b6db6d9a793601l,0xd70eadb8a4a0ba4al,0xaedace846098b89el,
0x970f2c23ac39d40fl },
0 },
/* 101 << 192 */
{ { 0x9dff8d289c7eaaa8l,0x38bcd076db0cc361l,0x25760147cdea9db8l,
0x44c89dd40163f343l },
{ 0x18815d7544db8365l,0xa186d57b37f3e4b3l,0xa71de7806e84a7fal,
0xf1c08989e56646b3l },
0 },
/* 107 << 192 */
{ { 0xad73e1448fb56a43l,0x078c14fb715543c9l,0xa57770fd64b92d54l,
0xf0420a9277e9b919l },
{ 0xc660d0cb588ccc1dl,0x069baa1471415c2el,0x747438dc32982740l,
0x4782ce08767381eel },
0 },
/* 113 << 192 */
{ { 0xc2a1ee5fdb3b6b5dl,0x08ce544820e1339fl,0x3cb954b77073955fl,
0xb9ed2ee7f32d0832l },
{ 0xc0a998b1b4aac98el,0x4912273dbca4bac7l,0xac0f5014c3f92c4al,
0xbf3dc27f9e916e78l },
0 },
/* 116 << 192 */
{ { 0x222c7bae28833944l,0xbb78a867f5e3cf67l,0x590cbd96faf6cfd6l,
0x1c50aecb3b0d842el },
{ 0x8f2c5df1dbade9a5l,0x60923fb7e3840cecl,0xe8f2db6b03a67512l,
0x90af187be0d7c628l },
0 },
/* 119 << 192 */
{ { 0xb4162b615fee3ccbl,0xe9786e7d7327e651l,0x6c85bd938812d9c1l,
0xfe4905083dc9e838l },
{ 0xe66f25178a6765dfl,0x72fd294edeee184cl,0x07608bd27b6ec227l,
0x9df7b664dfdaa5e6l },
0 },
/* 125 << 192 */
{ { 0x4aea16602d53a155l,0x7285069a32ab07fdl,0xf6f3000d8b6fcd19l,
0x010b1f246e98953fl },
{ 0xe180bc559f9aa221l,0x7717ee383cba4534l,0x5997f3aa36cbda06l,
0x54c6090064a04b05l },
0 },
},
{
/* 0 << 200 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 200 */
{ { 0x25914f7881fdad90l,0xcf638f560d2cf6abl,0xb90bc03fcc054de5l,
0x932811a718b06350l },
{ 0x2f00b3309bbd11ffl,0x76108a6fb4044974l,0x801bb9e0a851d266l,
0x0dd099bebf8990c1l },
0 },
/* 3 << 200 */
{ { 0xebd6a6777b0ac93dl,0xa6e37b0d78f5e0d7l,0x2516c09676f5492bl,
0x1e4bf8889ac05f3al },
{ 0xcdb42ce04df0ba2bl,0x935d5cfd5062341bl,0x8a30333382acac20l,
0x429438c45198b00el },
0 },
/* 4 << 200 */
{ { 0xfb2838be67e573e0l,0x05891db94084c44bl,0x9131137396c1c2c5l,
0x6aebfa3fd958444bl },
{ 0xac9cdce9e56e55c1l,0x7148ced32caa46d0l,0x2e10c7efb61fe8ebl,
0x9fd835daff97cf4dl },
0 },
/* 5 << 200 */
{ { 0x6c626f56c1770616l,0x5351909e09da9a2dl,0xe58e6825a3730e45l,
0x9d8c8bc003ef0a79l },
{ 0x543f78b6056becfdl,0x33f13253a090b36dl,0x82ad4997794432f9l,
0x1386493c4721f502l },
0 },
/* 7 << 200 */
{ { 0xe566f400b008733al,0xcba0697d512e1f57l,0x9537c2b240509cd0l,
0x5f989c6957353d8cl },
{ 0x7dbec9724c3c2b2fl,0x90e02fa8ff031fa8l,0xf4d15c53cfd5d11fl,
0xb3404fae48314dfcl },
0 },
/* 9 << 200 */
{ { 0xf02cc3a9f327a07fl,0xefb27a9b4490937dl,0x81451e96b1b3afa5l,
0x67e24de891883be4l },
{ 0x1ad65d4770869e54l,0xd36291a464a3856al,0x070a1abf7132e880l,
0x9511d0a30e28dfdfl },
0 },
/* 10 << 200 */
{ { 0xfdeed650f8d1cac4l,0xeb99194b6d16bda5l,0xb53b19f71cabbe46l,
0x5f45af5039b9276cl },
{ 0xd0784c6126ee9d77l,0xf7a1558b0c02ca5dl,0xb61d6c59f032e720l,
0xae3ffb95470cf3f7l },
0 },
/* 11 << 200 */
{ { 0x9b185facc72a4be5l,0xf66de2364d848089l,0xba14d07c717afea9l,
0x25bfbfc02d551c1cl },
{ 0x2cef0ecd4cdf3d88l,0x8cee2aa3647f73c4l,0xc10a7d3d722d67f7l,
0x090037a294564a21l },
0 },
/* 13 << 200 */
{ { 0x6ac07bb84f3815c4l,0xddb9f6241aa9017el,0x31e30228ca85720al,
0xe59d63f57cb75838l },
{ 0x69e18e777baad2d0l,0x2cfdb784d42f5d73l,0x025dd53df5774983l,
0x2f80e7cee042cd52l },
0 },
/* 15 << 200 */
{ { 0x43f18d7f4d6ee4abl,0xd3ac8cde9570c3dcl,0x527e49070b8c9b2al,
0x716709a7c5a4c0f1l },
{ 0x930852b0916a26b1l,0x3cc17fcf4e071177l,0x34f5e3d459694868l,
0xee0341aba28f655dl },
0 },
/* 16 << 200 */
{ { 0xf431f462060b5f61l,0xa56f46b47bd057c2l,0x348dca6c47e1bf65l,
0x9a38783e41bcf1ffl },
{ 0x7a5d33a9da710718l,0x5a7799872e0aeaf6l,0xca87314d2d29d187l,
0xfa0edc3ec687d733l },
0 },
/* 17 << 200 */
{ { 0x4b764317aa365220l,0x7a24affe68cc0355l,0x76732ed0ceb3df5el,
0x2ce1332aae096ed0l },
{ 0x89ce70a7b8adac9dl,0xfdddcf05b3fc85c8l,0xbd7b29c6f2ee8bfel,
0xa1effcb9457d50f3l },
0 },
/* 19 << 200 */
{ { 0x6053972dac953207l,0xc2ca9a8408ad12f6l,0x9ed6cd386ba36190l,
0xa5b50a48539d18a4l },
{ 0xd9491347dbf18c2al,0x2cdce4662e9697cfl,0x4e97db5ca9e31819l,
0x0fb02e2d4c044b74l },
0 },
/* 21 << 200 */
{ { 0x66a4dd414aa5e9ddl,0x6ec7576e64f6aeb9l,0x3f08ce06c7e980b5l,
0x52fe9fd6c1a2aa7el },
{ 0xfe46e6d95074326al,0xd570ed734c126c1dl,0x86c7ec257217d55al,
0x3cb434057c3de2b2l },
0 },
/* 23 << 200 */
{ { 0x48e0295dcc9e79bfl,0x2419485693eb403dl,0x9386fb7709dd8194l,
0xb6e89bb101a242f6l },
{ 0xc7994f3924d308d7l,0xf0fbc392de673d88l,0x43eed52ea11abb62l,
0xc900f9d0c83e7fbel },
0 },
/* 25 << 200 */
{ { 0x214a10dca8152891l,0xe6787b4c64f1abb2l,0x276333d9fa1a10edl,
0xc0e1c88e47dbccbcl },
{ 0x8a3c37c4849dd12el,0x2144a8c8d86e109fl,0xbb6891f7286c140cl,
0xb0b8c5e29cce5e6fl },
0 },
/* 27 << 200 */
{ { 0x3f9e0e3499753288l,0x6b26f1ebe559d93al,0x647fe21d9841faf1l,
0x48a4b6efa786ea02l },
{ 0x6e09cd22665a882dl,0x95390d81b63ccda6l,0x5b014db4b026a44al,
0x5b96efb22ad30ff1l },
0 },
/* 28 << 200 */
{ { 0x64c50c8b4a3b99e9l,0x2489a675d0a26f4fl,0xe2aacaeed85bc6fdl,
0x556882038a6019bal },
{ 0x7ceb9da645cfac07l,0xe1ad3d25652dbd09l,0x086adf348d3b5d2bl,
0xf9256d8aec3654a0l },
0 },
/* 29 << 200 */
{ { 0x571c246bf009a690l,0x8fe54231ccd90d3al,0x8adde6adfe173b79l,
0x75d9a392b05a5e3bl },
{ 0x607f47b0d1bb3a84l,0xe4e3b472058e691al,0xfc0f793bf3d956e3l,
0x6a6730b605de54dal },
0 },
/* 31 << 200 */
{ { 0x4daf7f540d80aaa1l,0xc571d04c229c4574l,0x469e2da5fffca53dl,
0x9fffe29513ff7f59l },
{ 0x2075da5a33a254f7l,0x769f33acd35e575dl,0x7b940d2c3d35001al,
0x2d606b57e34c95b7l },
0 },
/* 33 << 200 */
{ { 0xc7e4f8b899365f86l,0x8f6f959faae69527l,0x749ffedffdfaeeeal,
0x2b91f0221b54c2a0l },
{ 0xe75c2352addbdf83l,0xe7329922fff2694cl,0xbb65ae06badadeacl,
0x16cbb9d1f56be3b5l },
0 },
/* 34 << 200 */
{ { 0xb100a4c67a07bd70l,0x222fee7634787efel,0xa4dafc14f1e79d1bl,
0x0d3a82dad18b8be4l },
{ 0xe0181445fc06922fl,0x0873d99b714a90b6l,0xdf43082fa5087a0el,
0x195e49367399e0dbl },
0 },
/* 35 << 200 */
{ { 0x7e83545aae6fcc9cl,0x1a24fce819e15ce2l,0x4a3465c536d8c6a8l,
0xd1e5f24109436ae0l },
{ 0xed334bfc6be463d5l,0xc46a600b934fbdcfl,0xbd2fd65b920321ffl,
0x953fa91767fa154el },
0 },
/* 36 << 200 */
{ { 0x5dca4995f93ddad1l,0x061efcabf72470c2l,0xad78d54d5e7e0741l,
0xa91f4e839c4e0ab4l },
{ 0xdd4403af5c75aa0dl,0x4308c8ee13c69113l,0x3a3b66f51ebc36adl,
0xc07cc3f0f4bf777al },
0 },
/* 37 << 200 */
{ { 0x3fd1963e37a86b32l,0x22e236d60bd0880el,0xb87467cf89f0fa5cl,
0x85b9c6c0310e0265l },
{ 0x82979a96783459ael,0xd19b0919bd529ed3l,0xa21f771808434f94l,
0x3dd130a9195369c6l },
0 },
/* 39 << 200 */
{ { 0xc61e62767915d157l,0xc48244279e07fb0el,0x8980c1cc8420ea49l,
0x10d82e4a588d4e2bl },
{ 0xdddecd52b17eff2dl,0xe44c7b2ded8492a4l,0x96ca89ebb9bea6afl,
0x724166fe1b03ed03l },
0 },
/* 40 << 200 */
{ { 0xfc87975f8fb54738l,0x3516078827c3ead3l,0x834116d2b74a085al,
0x53c99a73a62fe996l },
{ 0x87585be05b81c51bl,0x925bafa8be0852b7l,0x76a4fafda84d19a7l,
0x39a45982585206d4l },
0 },
/* 41 << 200 */
{ { 0x8bbc484ed551f3e1l,0x6e058a90b7eb06d2l,0xfaccd9a0e5cd281al,
0xe7661b78d5b44900l },
{ 0x03afe115725fde22l,0xbe929230c7229fd1l,0x5cd0d16a0000035el,
0x1f6a9df0c8f5a910l },
0 },
/* 43 << 200 */
{ { 0xe54bbcfd535dfc82l,0x89be0b89a9012196l,0xa67831ee71011beal,
0x2ea7a8292db43878l },
{ 0xff7c144378ffe871l,0xa67dc3d4c63f65eal,0xbbfc7fc2a1527419l,
0x6440380bf6c36b8fl },
0 },
/* 44 << 200 */
{ { 0x71ab9f69d812d7e6l,0x2847c5516e142126l,0x9e27755bb31e7753l,
0xb89533e2943b8c7fl },
{ 0xbe7f0c6e14fa7dc6l,0x782a06388cee1f7al,0x7069292938e13a6bl,
0x1e1221f0c63f4d28l },
0 },
/* 45 << 200 */
{ { 0x9030aa9a63a431f4l,0x0fa7b5d45039a318l,0x6a0cf40af083687dl,
0x46689cec659fa752l },
{ 0x8259727a456fa97el,0x4f618a355b08d7fcl,0x2c44217b72028d15l,
0x8083b09935111e32l },
0 },
/* 46 << 200 */
{ { 0xaa5976523b5b29f1l,0xb07f10ab37432a54l,0x16e3e2236e36556fl,
0xf1c7c9bd47cd4586l },
{ 0xa4eef99d3f87216dl,0x4e54d3c52e1eaa79l,0x534c5901d2540d91l,
0x718df7c9b6f0fcfcl },
0 },
/* 47 << 200 */
{ { 0x99497f8a2eb0ee3bl,0x87e550c1caeb3a20l,0xd23e053dfb91627cl,
0xb971c043873124e6l },
{ 0x3581ab853b16e467l,0x24541c926145187bl,0x4423ec5c010c2527l,
0x775f13029fa82a68l },
0 },
/* 48 << 200 */
{ { 0x499b6ab65eb03c0el,0xf19b795472bc3fdel,0xa86b5b9c6e3a80d2l,
0xe43775086d42819fl },
{ 0xc1663650bb3ee8a3l,0x75eb14fcb132075fl,0xa8ccc9067ad834f6l,
0xea6a2474e6e92ffdl },
0 },
/* 49 << 200 */
{ { 0xbaebdd8a0c40aec4l,0x5eccafb563e8cfd0l,0x1c204c0eb5159938l,
0x607109d34b996aa9l },
{ 0x024c6c4b9cef59fel,0xbc846e216ed4b6f1l,0xf6a50ff3ff652c0al,
0x368af2c72d95220cl },
0 },
/* 51 << 200 */
{ { 0xec9c2e35cbd3ccafl,0xb9eeff3ddcda8f30l,0x82012e191062d02el,
0xed964cc94efc6b6el },
{ 0x8853ea0a6bf54c22l,0xea40fcc0f3cbe264l,0x21f9c01ddecf114el,
0x05e754c63da71e59l },
0 },
/* 52 << 200 */
{ { 0xe6a26d38046dfc72l,0x70409579c2175175l,0x2a575ac5d44e0c1dl,
0xb35395e01479ab5al },
{ 0x1550a5d4f7bfbd8el,0x01daeb680778807bl,0xe0aa940321294dbal,
0x84bcdc8c5b5a93b7l },
0 },
/* 53 << 200 */
{ { 0x876cc4d2520f04abl,0x6e320f5da85ff6a8l,0x7c504720ce17bc80l,
0xe7907079a62089f9l },
{ 0xa45c4ac7bca45feel,0xd8f3facd5bd54b0cl,0xc0b036277b3e4a24l,
0xaabe96dfe4cd4b57l },
0 },
/* 55 << 200 */
{ { 0xdc85a54773862ce4l,0x169051a3cc6f5d85l,0x8e3d3be0355f4df7l,
0xa139d6fac72bac76l },
{ 0xddc95d0dfeb0a6f0l,0xd53f70e545cd6955l,0x18eede5e47e54112l,
0x4a135dc9cbc6a52el },
0 },
/* 57 << 200 */
{ { 0x705a08ba90a58fb4l,0x10eef880fb3f8a64l,0x4ced9ba2f8e585ffl,
0xb4f0f955fc6ebef5l },
{ 0x152c1a338d8b739el,0xb2be701db495bee5l,0xd27141a8d3540a74l,
0x20c8a00247f9e9d7l },
0 },
/* 59 << 200 */
{ { 0x6d5ae921f5adcb3fl,0xaed1047003a3b610l,0x7c75e36f22256df9l,
0xe664b36fb97dae99l },
{ 0x138b5eca91e746ael,0xb3e01ef5648674a7l,0xa3f256da9e375c74l,
0xa00e82bc6a82d6f3l },
0 },
/* 60 << 200 */
{ { 0xe7a01eae6e28b4a8l,0xb3bf8224782166c9l,0x0b7ba2a06a244510l,
0x9751a69c2abbb4dbl },
{ 0xb611adc1b3f9fcbcl,0x1d08eb3b436c4675l,0x1c71e98a20f96a64l,
0x33d9b58c7ffd3f08l },
0 },
/* 61 << 200 */
{ { 0x7c7b03c1affa2d6cl,0x5f189bb9aec6e624l,0xe77a1eedadeff5e7l,
0xfc58b90f4280b467l },
{ 0x561e5d579b71cb4el,0x8ed767aa36d6a17el,0x38d8671e8aa9e188l,
0x7bc68f07a95350c0l },
0 },
/* 63 << 200 */
{ { 0xe0cd38cf98c01384l,0xc6741123a4226d9fl,0xdd1d42dbf877a0b8l,
0xc5986ef0110b3cbal },
{ 0xeba949f809c8cebel,0x96b47bc4bd39f1dcl,0xbad140b6e07a2a3cl,
0x2a8d80999ac5ca8al },
0 },
/* 64 << 200 */
{ { 0x39d934abd3c095f1l,0x04b261bee4b76d71l,0x1d2e6970e73e6984l,
0x879fb23b5e5fcb11l },
{ 0x11506c72dfd75490l,0x3a97d08561bcf1c1l,0x43201d82bf5e7007l,
0x7f0ac52f798232a7l },
0 },
/* 65 << 200 */
{ { 0x8cf27618590ca850l,0x58134f6f44bb94f2l,0x0a147562b78b4eecl,
0x2e5986e39f1ed647l },
{ 0x9becf893348393b0l,0xaea21b92c31c2a86l,0x3d69859e5ff1b9a6l,
0x6fcd19f4cd805691l },
0 },
/* 71 << 200 */
{ { 0x81619bd4841f43c3l,0x3a3325538e5c61f0l,0x2b68921eda862151l,
0x97f5c8a741a491f8l },
{ 0x8b452094d3b9afa0l,0x93b2b7b4f2124dbcl,0x53285e7d26e0e26dl,
0x3f003fc5c8a24edel },
0 },
/* 77 << 200 */
{ { 0x4cdabb586c025824l,0x5935ad1586bfcd7dl,0x8ce2c3101b7c5533l,
0x761c9fe96cae8808l },
{ 0x8a0723f5d9e66d70l,0xb640b323dcced11dl,0x5768528051ae548cl,
0x83576f75d53f3f2cl },
0 },
/* 83 << 200 */
{ { 0xc715edc47b532ec3l,0x159765e6c4a6e14bl,0x4a74f15228cd2d45l,
0xbfd309edae8c753bl },
{ 0xf56bb5315d6d5245l,0x2c89c21833b30a55l,0xe436141acd4ed5fal,
0x7eb7a5c707868ee6l },
0 },
/* 89 << 200 */
{ { 0x9a3ad3ffb0c7c48cl,0x25e8d977738e3638l,0xbb6c6c9d1c024074l,
0xeda1ac0f8cfdf416l },
{ 0x93059ba538de49e2l,0xdb199cfc1b9ce741l,0x49b05e9446f3b494l,
0x717cafc606480902l },
0 },
/* 95 << 200 */
{ { 0x8d27421052885708l,0x9d2297fd74e5b9b5l,0xe7cb6a68dc4d7318l,
0x0b60b0d276357b31l },
{ 0x57301994532c2095l,0xfbae2ba203373452l,0xe8020b20ba700583l,
0x1ca7772c2988919cl },
0 },
/* 101 << 200 */
{ { 0x723296eb918f3eecl,0x358c9ff0b79901c6l,0x64a1934c8d5e814cl,
0x7e5a9afced165177l },
{ 0xd783840168733e7al,0xfcf3c0b6f61ede6dl,0x94ec0bf08434e804l,
0xa5a70153c192c1cdl },
0 },
/* 107 << 200 */
{ { 0x03cdf976c23e49d4l,0x51e5cfa5a2ae72d5l,0x7716faa3100f7a51l,
0xc53153a2c14dc015l },
{ 0xe7c69b052b47ec18l,0xff4756907ea93b01l,0x55fde3c540a2f205l,
0x0263d0b12f85aed6l },
0 },
/* 113 << 200 */
{ { 0x668c56619686fe30l,0x382a8ccd8f73a476l,0xda012cbfb40a85e7l,
0x55ea1e72e9e88b91l },
{ 0x8312556088cc5afcl,0x44ae54cbc45b19c7l,0xc91fffa8f86a02cdl,
0xc79f573752d7e89bl },
0 },
/* 116 << 200 */
{ { 0x652b50523e357579l,0x08ce7d3a2afe5746l,0x9dc1cca6f71a12efl,
0x80a221c24f6c4196l },
{ 0xdde40eff0f49f508l,0x7995bb46913b0dc3l,0x4adbdeb385e44f6el,
0x6816bb3ab222e4bbl },
0 },
/* 119 << 200 */
{ { 0xce1ee518579a1a4dl,0x5d86e8912bc3870al,0x230878d18da907c4l,
0xc648392777ae7ea8l },
{ 0x64319653016c0ad7l,0x7cbfa0b0b71f20dal,0xbf087dc3395ed4d8l,
0x59512add307d218dl },
0 },
/* 125 << 200 */
{ { 0x7378a969d8ae335el,0x11c69965506d3a42l,0x212539769949468al,
0x570cf87e64995050l },
{ 0xf300ad2e30b94e22l,0xbc159cf8f36dad32l,0xdff3b3767ca8aa6al,
0xa5de93b5627fb9e7l },
0 },
},
{
/* 0 << 208 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 208 */
{ { 0x75d9bc15adf7cccfl,0x81a3e5d6dfa1e1b0l,0x8c39e444249bc17el,
0xf37dccb28ea7fd43l },
{ 0xda654873907fba12l,0x35daa6da4a372904l,0x0564cfc66283a6c5l,
0xd09fa4f64a9395bfl },
0 },
/* 3 << 208 */
{ { 0xc51aa29e5cfe5c48l,0x82c020ae815ee096l,0x7848ad827549a68al,
0x7933d48960471355l },
{ 0x04998d2e67c51e57l,0x0f64020ad9944afcl,0x7a299fe1a7fadac6l,
0x40c73ff45aefe92cl },
0 },
/* 4 << 208 */
{ { 0xe5f649be9d8e68fdl,0xdb0f05331b044320l,0xf6fde9b3e0c33398l,
0x92f4209b66c8cfael },
{ 0xe9d1afcc1a739d4bl,0x09aea75fa28ab8del,0x14375fb5eac6f1d0l,
0x6420b560708f7aa5l },
0 },
/* 5 << 208 */
{ { 0xbf44ffc75488771al,0xcb76e3f17f2f2191l,0x4197bde394f86a42l,
0x45c25bb970641d9al },
{ 0xd8a29e31f88ce6dcl,0xbe2becfd4bb7ac7dl,0x13094214b5670cc7l,
0xe90a8fd560af8433l },
0 },
/* 7 << 208 */
{ { 0x0ecf9b8b4ebd3f02l,0xa47acd9d86b770eal,0x93b84a6a2da213cel,
0xd760871b53e7c8cfl },
{ 0x7a5f58e536e530d7l,0x7abc52a51912ad51l,0x7ad43db02ea0252al,
0x498b00ecc176b742l },
0 },
/* 9 << 208 */
{ { 0x9ff713ef888ae17fl,0x6007f68fb34b7bebl,0x5d2b18983b653d64l,
0xcbf73e91d3ca4b1bl },
{ 0x4b050ad56cdfb3a1l,0x41bd3ec3d1f833a4l,0x78d7e2ee719d7bf5l,
0xea4604672a27412el },
0 },
/* 10 << 208 */
{ { 0x7dad6d1b42cd7900l,0xb6e6b439e058f8a4l,0x8836f1e662aa3bbcl,
0xd45bf2c811142b0al },
{ 0xae324bac3c045ed1l,0x372be24d270a8333l,0xeeda7a3a6b7c73b6l,
0xf6675402db49562al },
0 },
/* 11 << 208 */
{ { 0xc312ba68441e760dl,0x84d0d061a50e512el,0xfe764f4e4bbdd849l,
0xa924adcf9dadd5c0l },
{ 0x08685961debfe976l,0xd3d846c529fba601l,0x43bf8227dc3f4040l,
0x05e767b8a49e9ff5l },
0 },
/* 13 << 208 */
{ { 0xc4689c309953e453l,0x5e355a2e1712dca5l,0x1ff83c81f1cd96f7l,
0xb06b89fb44cf56dbl },
{ 0x1827705365f16e0dl,0x6403b91de5618672l,0xba3f9475be384bc6l,
0x7f691cbe303ce5f3l },
0 },
/* 15 << 208 */
{ { 0x4589ba03210f4045l,0xd5e7366301e8012al,0x1c26052d74462ffal,
0xe78f600c4f989519l },
{ 0xc63ca0c97cee0b2fl,0xbe588573af760b5fl,0x05906fc4593773cdl,
0xd5970fb0e322d5afl },
0 },
/* 16 << 208 */
{ { 0x103c46e60ebcf726l,0x4482b8316231470el,0x6f6dfaca487c2109l,
0x2e0ace9762e666efl },
{ 0x3246a9d31f8d1f42l,0x1b1e83f1574944d2l,0x13dfa63aa57f334bl,
0x0cf8daed9f025d81l },
0 },
/* 17 << 208 */
{ { 0xf67c098aae0690aal,0x1a4656422b7bc62bl,0xaffc6b917220dea2l,
0xd97ac543d2552deel },
{ 0x1f84514a7e816b8el,0xe9887e81a8f38552l,0x2e6358e6847ad46bl,
0x1f67871e6bc9895el },
0 },
/* 19 << 208 */
{ { 0x2462b6e0d47f43fal,0x71db3610d8a245e5l,0x0c26b0e734208974l,
0x0cd6d49d2029bd2el },
{ 0xf207c9f6091922b8l,0x0c476c5c7f0fbf66l,0x6de7efb2295d6da8l,
0xea054ee10ced6cfel },
0 },
/* 21 << 208 */
{ { 0xd21496e3e9bd795cl,0xf293f617c6a557del,0x9d041b7239a45642l,
0xe8353dab4ac87f80l },
{ 0x21e9f35620d8d019l,0x1f4adca9d2fb2668l,0xe5f68227dfecd64al,
0x10d71b79d7f09ec0l },
0 },
/* 23 << 208 */
{ { 0xca3f068999f87118l,0x99a933911b2417f0l,0xa383481a3d1f70e5l,
0x7a31a6c833b14414l },
{ 0x9d60f4368b2a9931l,0xd4c97ded80588534l,0x7cb29e82ab6a8bdal,
0x3799bdad97b4c45al },
0 },
/* 25 << 208 */
{ { 0x51da0ff629011af3l,0xcbb03c809a4f0855l,0xea3536725555b10bl,
0x4bf94e025c7da97el },
{ 0x384352f5ff713300l,0xb2c2b675192d41e6l,0x4ff66861625ca046l,
0xf0f5e472013dddc4l },
0 },
/* 27 << 208 */
{ { 0x38c44cdc59987914l,0xad7f2829757fb853l,0x9aabf1c8688e3342l,
0xbe0f1e4ef534c850l },
{ 0x732cac652ec24ecal,0x9328b657933bb5e4l,0xe2747ff60bb31033l,
0xdbaab72cfcdc36acl },
0 },
/* 28 << 208 */
{ { 0x0e5e3049a639fc6bl,0xe75c35d986003625l,0x0cf35bd85dcc1646l,
0x8bcaced26c26273al },
{ 0xe22ecf1db5536742l,0x013dd8971a9e068bl,0x17f411cb8a7909c5l,
0x5757ac98861dd506l },
0 },
/* 29 << 208 */
{ { 0xaf410d5aac66a3e8l,0x39fcbffb2031f658l,0xd29e58c947ce11fbl,
0x7f0b874965f73e49l },
{ 0xedc30f4b27fea6c6l,0xe03b9103d2baa340l,0xa7bb3f17ae680612l,
0xe06656a8197af6f0l },
0 },
/* 31 << 208 */
{ { 0x84562095bff86165l,0x994194e916bc7589l,0xb1320c7ec14c6710l,
0x508a8d7f766e978fl },
{ 0xd04adc9ec7e1f6fel,0x7bafaff68398cecfl,0x906df2fccef3b934l,
0xc65afe18f3008c38l },
0 },
/* 33 << 208 */
{ { 0x477ffeeeab983130l,0x5426363a96e83d55l,0xcf0370a15204af42l,
0x99834414b5a6ea8fl },
{ 0xf475ba711ab4ee8al,0x8486da5d0102d8f2l,0x55082e713839c821l,
0xa57e58395b65defal },
0 },
/* 34 << 208 */
{ { 0x34b2185bbbb33a76l,0x189038b7d48158c2l,0xfa32eb90e9e90217l,
0x79271771730e74dfl },
{ 0x315ed8c2a5d01ffdl,0x9799dae723e6a95el,0x40070aa016f5715al,
0x40e6c0ca5ea51f8cl },
0 },
/* 35 << 208 */
{ { 0x099c0570d8132163l,0xcd5508a3023dbbf3l,0x18162ff526bfe6a6l,
0xf39e071144bbb455l },
{ 0x49664996eaa3cf96l,0x1c6442d5e2649be9l,0x6199f740c01d269dl,
0x4be605ee37542c11l },
0 },
/* 36 << 208 */
{ { 0xc7313e9cf36658f0l,0xc433ef1c71f8057el,0x853262461b6a835al,
0xc8f053987c86394cl },
{ 0xff398cdfe983c4a1l,0xbf5e816203b7b931l,0x93193c46b7b9045bl,
0x1e4ebf5da4a6e46bl },
0 },
/* 37 << 208 */
{ { 0xd032fbfd0dbf82b4l,0x707181f668e58969l,0xef434381e7be2d5el,
0x290669176f2c64ddl },
{ 0xf66cffc3772769abl,0x68d8a76a17aad01cl,0xdd3991c590f6e078l,
0xdb74db06ea4ac7dcl },
0 },
/* 39 << 208 */
{ { 0x9f34a7c11c78be71l,0x7bf2f2d149ca6987l,0xb528a514dcd34afcl,
0x4dddb3f1183a68b1l },
{ 0x54d2626660b83883l,0x9073e4e0e0cd8dadl,0xbd2b837d9eb818b2l,
0x5fa5f9086ae2e32dl },
0 },
/* 40 << 208 */
{ { 0xf9942a6043a24fe7l,0x29c1191effb3492bl,0x9f662449902fde05l,
0xc792a7ac6713c32dl },
{ 0x2fd88ad8b737982cl,0x7e3a0319a21e60e3l,0x09b0de447383591al,
0x6df141ee8310a456l },
0 },
/* 41 << 208 */
{ { 0xcd02ba1e0df98a64l,0x301b6bfa03f5676el,0x41e1a8d4a2fe4090l,
0x489c1cbf47f0e1dcl },
{ 0x4171a98c20760847l,0xdcb21cee77af4796l,0x5fb0f0c9d0b7e981l,
0x4c2791dff33b9f8dl },
0 },
/* 43 << 208 */
{ { 0x95d7ec0c50420a50l,0x5794665c2a6756d5l,0x73558c6e9101e7f5l,
0xa3fa0f8c1642af0el },
{ 0xa11b309b4ee43551l,0x3939de30cb8fc712l,0x9710f2320fde8921l,
0x2a4db2d5cae8b41cl },
0 },
/* 44 << 208 */
{ { 0xaec1a039e6d6f471l,0x14b2ba0f1198d12el,0xebc1a1603aeee5acl,
0x401f4836e0b964cel },
{ 0x2ee437964fd03f66l,0x3fdb4e49dd8f3f12l,0x6ef267f629380f18l,
0x3e8e96708da64d16l },
0 },
/* 45 << 208 */
{ { 0xdf6cdac0bc4c78adl,0xbe9e32182e97376el,0xa37f9d8b1a139274l,
0x7640c3982807128el },
{ 0xe9735166c05b5f85l,0xbccd3675100e5716l,0x51376a293e5c9682l,
0x95efe088848f6aeal },
0 },
/* 46 << 208 */
{ { 0xfac2d7dd23d14105l,0xdda17149a9136f52l,0xb9f3a9c672d1a99bl,
0x2fcf532a142c3b20l },
{ 0xc2731f1e61190c1bl,0x26dbe810a76509e4l,0xc96cc431908bb92fl,
0x5661a84d80e3e694l },
0 },
/* 47 << 208 */
{ { 0x5194d144150ba121l,0x8de57c48b6b11561l,0x803228da96c156d9l,
0x2112e4250a8f6376l },
{ 0x15436294643449ffl,0xfc3880add4118cd0l,0x16ed90731e3f7413l,
0xa400699901d38d6dl },
0 },
/* 48 << 208 */
{ { 0xbc19180c207674f1l,0x112e09a733ae8fdbl,0x996675546aaeb71el,
0x79432af1e101b1c7l },
{ 0xd5eb558fde2ddec6l,0x81392d1f5357753fl,0xa7a76b973ae1158al,
0x416fbbff4a899991l },
0 },
/* 49 << 208 */
{ { 0xf84c9147c52d7384l,0x86391accec01efa6l,0xffd68616f9c6f3f4l,
0xc7536461b17c2de6l },
{ 0xa81f4ba10121abdfl,0xa068a2e26f6eae27l,0xe0ee90350eb159f0l,
0x4c48f761fd8c4b9cl },
0 },
/* 51 << 208 */
{ { 0x4b6d71e87790000cl,0xced195744ce9293el,0xc25626a3747585e8l,
0xb8307d22d7044270l },
{ 0xf08e7ef6117c24cbl,0xae6403162f660d04l,0xbc3ffdcff224a2fdl,
0x1ebc0328d0586c7el },
0 },
/* 52 << 208 */
{ { 0x9e65fdfd0d4a9dcfl,0x7bc29e48944ddf12l,0xbc1a92d93c856866l,
0x273c69056e98dfe2l },
{ 0x69fce418cdfaa6b8l,0x606bd8235061c69fl,0x42d495a06af75e27l,
0x8ed3d5056d873a1fl },
0 },
/* 53 << 208 */
{ { 0x46b160e5a6022278l,0x86b1d50cc30a51fcl,0xe898ac0e684b81b7l,
0x04d591e277b93597l },
{ 0xd20cac347626e18al,0xb49c941f0a968733l,0x054e6e7e21631627l,
0xd6d33db9d4c716b1l },
0 },
/* 55 << 208 */
{ { 0xaa79ab4bf91e9b75l,0x7df3235bd34d961dl,0x9f3954e6534a40e1l,
0x80f88d2c790b4456l },
{ 0x98f7711b21e9fb2al,0x0a04c318877d27e6l,0x499b7c2412338848l,
0x0b1dbe9ccd5e7ec3l },
0 },
/* 57 << 208 */
{ { 0xb430ff44e04715ffl,0x671358d565d076d0l,0x3946d38f22c3aa06l,
0x80919ea363b2d627l },
{ 0x14ffa219e8790922l,0xfe1d895ae8d89c48l,0x717e9e51748e806el,
0xb91e1ddf550d711dl },
0 },
/* 59 << 208 */
{ { 0x8aac26225f540127l,0x57cd5d7cba25f742l,0x87006a6b1df7a0fcl,
0x88e9ab863ecbf26cl },
{ 0xe1b8155f9143b314l,0xc00196130b679bddl,0x819e7b61a1871d07l,
0xc36e7892cc2c9cc9l },
0 },
/* 60 << 208 */
{ { 0x4b03c55b8e33787fl,0xef42f975a6384673l,0xff7304f75051b9f0l,
0x18aca1dc741c87c2l },
{ 0x56f120a72d4bfe80l,0xfd823b3d053e732cl,0x11bccfe47537ca16l,
0xdf6c9c741b5a996bl },
0 },
/* 61 << 208 */
{ { 0x65729b05301ee370l,0x3ed09a2a24c2824cl,0x781ef66a33481977l,
0xf2ccdeec193506d0l },
{ 0x92b4f70d703422d6l,0x7f004a43f80a1b99l,0x47db23607a856445l,
0x783a8dd1ce5b0622l },
0 },
/* 63 << 208 */
{ { 0x7febefd34e9aac5al,0x601c89e2bdd6173el,0x79b08930c257431el,
0x915d601d399ee099l },
{ 0xfa48347eca02acd2l,0xc33249baeeb7ccedl,0xd76e408755704722l,
0xd3709c600dcf4878l },
0 },
/* 64 << 208 */
{ { 0xee7332c7904fc3fal,0x14a23f45c7e3636al,0xc38659c3f091d9aal,
0x4a995e5db12d8540l },
{ 0x20a53becf3a5598al,0x56534b17b1eaa995l,0x9ed3dca4bf04e03cl,
0x716c563ad8d56268l },
0 },
/* 65 << 208 */
{ { 0x963353201580f3adl,0x6c495304b0cd50d4l,0xd035cdc7555ff981l,
0xe65cd063c6b6bdfbl },
{ 0x7deb3cbb437e749cl,0xa9de9f3db5dc24a1l,0xe2e76a2b35c29ffal,
0x4d35e261323ba650l },
0 },
/* 71 << 208 */
{ { 0x52c46fc8c89e2766l,0x7330b02bb945e5f2l,0xc77ef75c2673ebbcl,
0x1740e72657c33783l },
{ 0xf0312d29623565fbl,0xff9f707af0ca1ed9l,0xb98609ca5ea51a4al,
0xde86b9a87b5cc91fl },
0 },
/* 77 << 208 */
{ { 0x0dece4badca158b7l,0x5e39baf6a3e9f837l,0xcf14e6dc4d57b640l,
0x0548aaa4b67bcbe7l },
{ 0xb6cf5b393c90e434l,0xf8b3c5645006f3abl,0xa74e92859bf04bd9l,
0xf59a3a6bf99c8977l },
0 },
/* 83 << 208 */
{ { 0x652ca66ac5b072d5l,0x2102b55993ad4928l,0x1b5f192d88210f9bl,
0xb18710144c6ad7e5l },
{ 0x3979fde3bc0abf13l,0xb5cb4c7dac3fd631l,0x4aedffa6c200ec7bl,
0x8aed81ceaddf3610l },
0 },
/* 89 << 208 */
{ { 0x72b48105abeefbael,0x0e9e6e41827bb22bl,0xf45ada151e52a848l,
0xb8e94579534867a2l },
{ 0x3a08773b7adb0fdcl,0xe7133a28b83316dfl,0xc8b7b08c5bb41470l,
0x28719eb4aaf140c7l },
0 },
/* 95 << 208 */
{ { 0x398996cd430007cel,0x20d8c0e07642d616l,0x81566639a7eb2397l,
0x74aa0b692e133732l },
{ 0x326745907ba80aa7l,0x56a491c39bd69d64l,0xc8c8b040e54dcce0l,
0x3f991872d571d037l },
0 },
/* 101 << 208 */
{ { 0x70e681fa4fb595c9l,0xf0635d6386b4d97bl,0xfc029284c1347081l,
0x5a4e9cbe4fee0303l },
{ 0xd43da8609c31094fl,0x0412cfed6515b4aal,0x10fc06da8d53be86l,
0x4b7b380b4bccc94dl },
0 },
/* 107 << 208 */
{ { 0x560d57408e7d6738l,0xa82268a8937f12a2l,0x87787b2d3d95b463l,
0xb36539b2030e23bfl },
{ 0x60d16b8fd61e761dl,0x96ba2949fe8efccdl,0x8c170eda667fa7ebl,
0xc880d74cf800d7c3l },
0 },
/* 113 << 208 */
{ { 0x7c05d6c1efcbfea0l,0xae7ba3291a2f6dd8l,0x521598ed5bd42ecfl,
0x58e07842ef0ab40cl },
{ 0xae65105f66c752a5l,0x4910fba45f99d499l,0xbfdaf5fce9e44357l,
0x6aaf4053796ee5b6l },
0 },
/* 116 << 208 */
{ { 0xf58fecb16f640f62l,0xe274b92b39f51946l,0x7f4dfc046288af44l,
0x0a91f32aeac329e5l },
{ 0x43ad274bd6aaba31l,0x719a16400f6884f9l,0x685d29f6daf91e20l,
0x5ec1cc3327e49d52l },
0 },
/* 119 << 208 */
{ { 0x615ac02527ba93edl,0x0d43915d3556ef47l,0x8c739fd1cb0cda89l,
0xa2318169625f7a16l },
{ 0x17d486113e0479cel,0x814beb6038ee541el,0x09c9807fb98ef355l,
0x4ad3668752d07af6l },
0 },
/* 125 << 208 */
{ { 0x5c1f42e444f3f568l,0xd743b7c078fb409bl,0xe09edccb6224362cl,
0x7f13d140c5fe872cl },
{ 0x85e8cb88f403c0ebl,0x918a231b688d20a0l,0xc65b7ab9f246c73fl,
0xda743fbf76dbd6adl },
0 },
},
{
/* 0 << 216 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 216 */
{ { 0xa0158eeae457a477l,0xd19857dbee6ddc05l,0xb326522418c41671l,
0x3ffdfc7e3c2c0d58l },
{ 0x3a3a525426ee7cdal,0x341b0869df02c3a8l,0xa023bf42723bbfc8l,
0x3d15002a14452691l },
0 },
/* 3 << 216 */
{ { 0xf3cae7e9262a3539l,0x78a49d1d6670d59el,0x37de0f63c1c5e1b9l,
0x3072c30c69cb7c1cl },
{ 0x1d278a5277c850e6l,0x84f15f8f1f6a3de6l,0x46a8bb45592ca7adl,
0x1912e3eee4d424b8l },
0 },
/* 4 << 216 */
{ { 0x6ba7a92079e5fb67l,0xe1331feb70aa725el,0x5080ccf57df5d837l,
0xe4cae01d7ff72e21l },
{ 0xd9243ee60412a77dl,0x06ff7cacdf449025l,0xbe75f7cd23ef5a31l,
0xbc9578220ddef7a8l },
0 },
/* 5 << 216 */
{ { 0xdc988086365e668bl,0xada8dcdaaabda5fbl,0xbc146b4c255f1fbel,
0x9cfcde29cf34cfc3l },
{ 0xacbb453e7e85d1e4l,0x9ca09679f92358b5l,0x15fc2d96240823ffl,
0x8d65adf70c11d11el },
0 },
/* 7 << 216 */
{ { 0x775557f10296f4fdl,0x1dca76a3ea51b436l,0xf3e98f60fb950805l,
0x31ff32ea831cf7f1l },
{ 0x643e7bf18d2c714bl,0x64b5c3392e9d2acal,0xa9fd9ccc6adc2d23l,
0xfc2397eccc721b9bl },
0 },
/* 9 << 216 */
{ { 0xf031182db48ec57dl,0x515d32f804b233b9l,0x06bbb1d4093aad26l,
0x88a142fe0d83d1ecl },
{ 0x3b95c099245c73f8l,0xb126d4af52edcd32l,0xf8022c1e8fcb52e6l,
0x5a51ac4c0106d339l },
0 },
/* 10 << 216 */
{ { 0xc589e1ce44ace150l,0xe0f8d3d94381e97cl,0x59e99b1162c5a4b8l,
0x90d262f7fd0ec9f9l },
{ 0xfbc854c9283e13c9l,0x2d04fde7aedc7085l,0x057d776547dcbecbl,
0x8dbdf5919a76fa5fl },
0 },
/* 11 << 216 */
{ { 0xb7f70a1a7c64a054l,0x0dc1c0df9db43e79l,0x6d0a4ae251fe63d6l,
0xe0d5e3327f0c8abfl },
{ 0xff5500362b7ecee8l,0x3ea0e6f75d055008l,0x30deb62ff24ac84fl,
0x936969fd5d7116b7l },
0 },
/* 13 << 216 */
{ { 0x02da76122617cf7fl,0xd6e25d4eeee35260l,0xb2fa5b0afd3533e9l,
0xe76bb7b0b9126f88l },
{ 0x692e6a9988856866l,0x3fdf394f49db65cal,0x2529699122d8d606l,
0xe815bfbf3dd7c4cfl },
0 },
/* 15 << 216 */
{ { 0x69c984ed4d844e7fl,0xd354b2174a2e8a82l,0x25bd4addfb2c4136l,
0xf72df4de144b26e1l },
{ 0xd0aa9db0e6101afdl,0x4445efaae49bd1b8l,0x5dc54eee331593b2l,
0xfa35e3b9094bf10bl },
0 },
/* 16 << 216 */
{ { 0xdb567d6ac42bd6d2l,0x6df86468bb1f96ael,0x0efe5b1a4843b28el,
0x961bbb056379b240l },
{ 0xb6caf5f070a6a26bl,0x70686c0d328e6e39l,0x80da06cf895fc8d3l,
0x804d8810b363fdc9l },
0 },
/* 17 << 216 */
{ { 0x660a0f893ea089c3l,0xa25823aac9009b09l,0xb2262d7ba681f5e5l,
0x4fc30c8c3413863al },
{ 0x691544b7c32059f7l,0xf65cf276b21c6134l,0xe3a96b2a5104dabal,
0xbb08d109a43ee42fl },
0 },
/* 19 << 216 */
{ { 0x85a52d69f9916861l,0x595469a4da4fa813l,0x1dd7786e3338502fl,
0x34b8ef2853963ac5l },
{ 0xc0f019f81a891b25l,0xb619970c4f4bd775l,0x8c2a5af3be19f681l,
0x9463db0498ec1728l },
0 },
/* 21 << 216 */
{ { 0xeb62c27801f39eabl,0x27de39340ab3a4aal,0xfbd17520a982ca8dl,
0x58817ec2e4bdc6edl },
{ 0x312d78de31c6ac13l,0x9483bf7609202ea6l,0xf64ab8b622c6d8e1l,
0xdddf589ce580de74l },
0 },
/* 23 << 216 */
{ { 0xe0fa3336ee98a92al,0x7d80eeef66a4d745l,0xb612531bba0119d3l,
0x86e770c1b351fe15l },
{ 0xafbad6f882d5a397l,0x1e5f1cb80dbf0110l,0x25138ac09f79063dl,
0x089ed22f2746a156l },
0 },
/* 25 << 216 */
{ { 0x198d1b5d7d8b8ddel,0xf32c11078dab37fbl,0xf15fcb6d42b93874l,
0x91ddb74f41f94f84l },
{ 0x6a64540a271524b2l,0x950a0c12758b5a64l,0xf9f237933dce9580l,
0xc8edd0ab2cf8ce32l },
0 },
/* 27 << 216 */
{ { 0xefc6357eae1046b7l,0xe6704929612932e4l,0xa20305d4b1355b17l,
0x88a9136a58b4a156l },
{ 0xbc379985b4d275ecl,0x718b91316eaf338bl,0x61229a7ad152a509l,
0x1109f7c445157ae9l },
0 },
/* 28 << 216 */
{ { 0xcf197ca7fb8088fal,0x014272474ddc96c5l,0xa2d2550a30777176l,
0x534698984d0cf71dl },
{ 0x6ce937b83a2aaac6l,0xe9f91dc35af38d9bl,0x2598ad83c8bf2899l,
0x8e706ac9b5536c16l },
0 },
/* 29 << 216 */
{ { 0x2bde42140df85c2cl,0x4fb839f4058a7a63l,0x7c10572a47f51231l,
0x878826231989824el },
{ 0xa8293d2016e1564al,0xcb11c0f818c04576l,0x83b91e7d9740c631l,
0xbdcb23d0cbffcea0l },
0 },
/* 31 << 216 */
{ { 0x64bdfd2a9094bfc8l,0x8558acc60fc54d1el,0x3992848faf27721el,
0x7a8fcbdaa14cd009l },
{ 0x6de6120900a4b9c2l,0xbd192b1b20cf8f28l,0x2356b90168d9be83l,
0xce1e7a944a49a48al },
0 },
/* 33 << 216 */
{ { 0x7630103b6ac189b9l,0x15d35edc6f1f5549l,0x9051799d31cb58edl,
0xb4f32694a7a8579el },
{ 0x6f037435f2abe306l,0xf0595696410fb2f7l,0x2a0d347a5cc98f59l,
0x9c19a9a87e3bbd69l },
0 },
/* 34 << 216 */
{ { 0x87f8df7c0e58d493l,0xb1ae5ed058b73f12l,0xc368f784dea0c34dl,
0x9bd0a120859a91a0l },
{ 0xb00d88b7cc863c68l,0x3a1cc11e3d1f4d65l,0xea38e0e70aa85593l,
0x37f13e987dc4aee8l },
0 },
/* 35 << 216 */
{ { 0x91dbe00e49430cd2l,0xcc67c0b17aa8ef6bl,0x769985b8a273f1a5l,
0x358371dc360e5dafl },
{ 0xbf9b9127d6d8b5e8l,0x748ae12cb45588c1l,0x9c609eb556076c58l,
0xf287489109733e89l },
0 },
/* 36 << 216 */
{ { 0x10d38667bc947badl,0x738e07ce2a36ee2el,0xc93470cdc577fcacl,
0xdee1b6162782470dl },
{ 0x36a25e672e793d12l,0xd6aa6caee0f186dal,0x474d0fd980e07af7l,
0xf7cdc47dba8a5cd4l },
0 },
/* 37 << 216 */
{ { 0xceb6aa80f8a08fddl,0xd98fc56f46fead7bl,0xe26bd3f8b07b3f1fl,
0x3547e9b99d361c3el },
{ 0x1a89f802e94b8eccl,0x2210a590c0a40ef2l,0xe7e5b965afc01bf2l,
0xca3d57fe234b936bl },
0 },
/* 39 << 216 */
{ { 0x9230a70db9f9e8cdl,0xa63cebfcb81ba2ecl,0x8482ca87a8f664d6l,
0xa8ae78e00b137064l },
{ 0xb787bd558384c687l,0xfde1d1bdb29ae830l,0xc4a9b2e39f0b7535l,
0x7e6c9a15efde2d01l },
0 },
/* 40 << 216 */
{ { 0x7d2e5c054f7269b1l,0xfcf30777e287c385l,0x10edc84ff2a46f21l,
0x354417574f43fa36l },
{ 0xf1327899fd703431l,0xa438d7a616dd587al,0x65c34c57e9c8352dl,
0xa728edab5cc5a24el },
0 },
/* 41 << 216 */
{ { 0xcd6e6db872896d4fl,0x324afa99896c4640l,0x37d18c3d33a292bdl,
0x98dba3b44143421fl },
{ 0x2406f3c949c61b84l,0x402d974754899588l,0xc73b7fd634a485e5l,
0x75c9bae08587f0c3l },
0 },
/* 43 << 216 */
{ { 0x6c32fa8cb0b4a04dl,0xeb58d0d875fda587l,0x61d8a157c4b86563l,
0x92191bf01006b8afl },
{ 0xd04d3eff32d3478bl,0x3cc52eab2a684fc8l,0xb19a0f1625de54ccl,
0x5c5295973620db2dl },
0 },
/* 44 << 216 */
{ { 0xa97b51265c3427b0l,0x6401405cd282c9bdl,0x3629f8d7222c5c45l,
0xb1c02c16e8d50aedl },
{ 0xbea2ed75d9635bc9l,0x226790c76e24552fl,0x3c33f2a365f1d066l,
0x2a43463e6dfccc2el },
0 },
/* 45 << 216 */
{ { 0x09b2e0d3b8da1e01l,0xa3a1a8fee9c0eb04l,0x59af5afe8bf653bal,
0xba979f8bd0a54836l },
{ 0xa0d8194b51ee6ffbl,0x451c29e2f4b0586cl,0x7eb5fddb7471ee3dl,
0x84b627d4bcb3afd8l },
0 },
/* 46 << 216 */
{ { 0x8cc3453adb483761l,0xe7cc608565d5672bl,0x277ed6cbde3efc87l,
0x19f2f36869234eafl },
{ 0x9aaf43175c0b800bl,0x1f1e7c898b6da6e2l,0x6cfb4715b94ec75el,
0xd590dd5f453118c2l },
0 },
/* 47 << 216 */
{ { 0xa70e9b0afb54e812l,0x092a0d7d8d86819bl,0x5421ff042e669090l,
0x8af770c6b133c952l },
{ 0xc8e8dd596c8b1426l,0x1c92eb0e9523b483l,0x5a7c88f2cf3d40edl,
0x4cc0c04bf5dd98f8l },
0 },
/* 48 << 216 */
{ { 0x14e49da11f17a34cl,0x5420ab39235a1456l,0xb76372412f50363bl,
0x7b15d623c3fabb6el },
{ 0xa0ef40b1e274e49cl,0x5cf5074496b1860al,0xd6583fbf66afe5a4l,
0x44240510f47e3e9al },
0 },
/* 49 << 216 */
{ { 0xb3939a8ffd617288l,0x3d37e5c2d68c2636l,0x4a595fac9d666c0el,
0xfebcad9edb3a4978l },
{ 0x6d284a49c125016fl,0x05a7b9c80ee246a2l,0xe8b351739436c6e9l,
0xffb89032d4be40b7l },
0 },
/* 51 << 216 */
{ { 0xba1387a5436ebf33l,0xc351a400e8d05267l,0x18645dde4259dbe8l,
0x5fc32895c10fd676l },
{ 0x1ef7a944807f040el,0x9486b5c625738e5fl,0xc9e56cf4a7e3e96cl,
0x34c7dc87a20be832l },
0 },
/* 52 << 216 */
{ { 0xe10d49996fe8393fl,0x0f809a3fe91f3a32l,0x61096d1c802f63c8l,
0x289e146257750d3dl },
{ 0xed06167e9889feeal,0xd5c9c0e2e0993909l,0x46fca0d856508ac6l,
0x918260474f1b8e83l },
0 },
/* 53 << 216 */
{ { 0x1d5f2ad7a9bf79cbl,0x228fb24fca9c2f98l,0x5f7c3883701c4b71l,
0x18cf76c4ec42d686l },
{ 0x3680d2e94dcdec8dl,0x6d58e87ba0d60cb6l,0x72fbf086a0e513cfl,
0xb922d3c5346ed99al },
0 },
/* 55 << 216 */
{ { 0x1678d658c2b9b874l,0x0e0b2c47f6360d4dl,0x01a45c02a0c9b9acl,
0x05e82e9d0da69afbl },
{ 0x50be4001f28b8018l,0x503d967b667d8241l,0x6cd816534981da04l,
0x9b18c3117f09c35fl },
0 },
/* 57 << 216 */
{ { 0xdfdfd5b409d22331l,0xf445126817f0c6a2l,0xe51d1aa8a5cde27bl,
0xb61a12a37aaf9513l },
{ 0xe43a241d3b3ea114l,0x5c62b624366ae28dl,0x085a530db5f237eal,
0x7c4ed375651205afl },
0 },
/* 59 << 216 */
{ { 0xf9de879dce842decl,0xe505320a94cedb89l,0xee55dae7f05ad888l,
0x44ffbfa7f028b4efl },
{ 0xa3c1b32e63b2cd31l,0x201a058910c5ab29l,0x20f930afcd4085d6l,
0xda79ed169f6ff24bl },
0 },
/* 60 << 216 */
{ { 0x7e8cfbcf704e23c6l,0xc71b7d2228aaa65bl,0xa041b2bd245e3c83l,
0x69b98834d21854ffl },
{ 0x89d227a3963bfeecl,0x99947aaade7da7cbl,0x1d9ee9dbee68a9b1l,
0x0a08f003698ec368l },
0 },
/* 61 << 216 */
{ { 0x04c64f33b0959be5l,0x182332ba396a7fe2l,0x4c5401e302e15b97l,
0x92880f9877db104bl },
{ 0x0bf0b9cc21726a33l,0x780264741acc7b6dl,0x9721f621a26f08e3l,
0xe3935b434197fed1l },
0 },
/* 63 << 216 */
{ { 0x0bffae503652be69l,0x395a9c6afb3fd5d8l,0x17f66adaa4fadfbfl,
0x1ee92a35f9268f8cl },
{ 0x40ded34d6827781al,0xcd36224e34e63dccl,0xec90cf571cd1ef7al,
0xf6067d578f72a3bfl },
0 },
/* 64 << 216 */
{ { 0x142b55021a93507al,0xb4cd11878d3c06cfl,0xdf70e76a91ec3f40l,
0x484e81ad4e7553c2l },
{ 0x830f87b5272e9d6el,0xea1c93e5c6ff514al,0x67cc2adcc4192a8el,
0xc77e27e242f4535al },
0 },
/* 65 << 216 */
{ { 0x537388d299e2f9d2l,0x15ead88612cd6d08l,0x33dfe3a769082d86l,
0x0ef25f4266d79d40l },
{ 0x8035b4e546ba5cf1l,0x4e48f53711eec591l,0x40b56cda122a7aael,
0x78e270211dbb79a7l },
0 },
/* 71 << 216 */
{ { 0x520b655355b4a5b1l,0xeee835cafb4f5fdel,0xb2ae86e59a823d7fl,
0x24325f4fc084497fl },
{ 0x542bed4e6f0eefa4l,0x2909233b141792fdl,0x74bfc3bfc847a946l,
0x8ec1d009e212cb44l },
0 },
/* 77 << 216 */
{ { 0xc2082b6d5cedd516l,0xaf148eadeafa3a10l,0x104cd5855ad63aa6l,
0xe3fdbf8c78c11e1el },
{ 0x78651c493c25c24el,0x8064c4f37b7cce0el,0xa55441d4a6d8a928l,
0x4525c40eb0db3adcl },
0 },
/* 83 << 216 */
{ { 0x5f69e49cfde6001el,0xc61e753aee59b47el,0xd0d4559971b0db5bl,
0x7f76f7b45ad4acc3l },
{ 0xb0318a9c39830897l,0x2b15da22feef3822l,0x34049400acfb0753l,
0x16f4fb51a5114ed4l },
0 },
/* 89 << 216 */
{ { 0x0b5c76928defbf10l,0xb9f1795cb79cdb6el,0xba17e7759a90317cl,
0x3cb69cf950cf514bl },
{ 0x076cc4c1e5b892ffl,0x75724e8fb548b73cl,0x2ebcdb33248ff2e6l,
0x1f12967be109b08fl },
0 },
/* 95 << 216 */
{ { 0x3f514c63461b7bb3l,0x3bdca5aa70afbad7l,0x368ce251eab3e38bl,
0xdc0fb3300d101049l },
{ 0x7ce09abdff5013eel,0x926dd7dd7d10729dl,0xe6fe47ab6f486197l,
0xd23964eaa6eb6903l },
0 },
/* 101 << 216 */
{ { 0x537ceb74eca30797l,0xf171bba557b0f338l,0x220a31fee831f1f8l,
0xabbc2c7c5ae6bbbcl },
{ 0xaf7609f27eadfb60l,0x22cff1d58f28b51bl,0x63c3d76d6d1863bdl,
0x3a6a2fb489e8a4c8l },
0 },
/* 107 << 216 */
{ { 0x9e74f8beb26e38f0l,0xc4c73fc4ea8bd55bl,0x086f688e1429e1fcl,
0x91438ff40f78159fl },
{ 0x3571ae5f20810acbl,0x305edafe7451eb00l,0x8443c96d5704385cl,
0xc03b234e542605b5l },
0 },
/* 113 << 216 */
{ { 0x2e5ff4fed85567c2l,0x136f49c7e4abd0c6l,0x5a68730cfb8a62d1l,
0x101ebfd030bcb848l },
{ 0x634b0618fee950bbl,0xfa748d21c8aa65bal,0xc1d67c3e699f5560l,
0x6fb0546cb22889d2l },
0 },
/* 116 << 216 */
{ { 0xa9784ebd9c95f0f9l,0x5ed9deb224640771l,0x31244af7035561c4l,
0x87332f3a7ee857del },
{ 0x09e16e9e2b9e0d88l,0x52d910f456a06049l,0x507ed477a9592f48l,
0x85cb917b2365d678l },
0 },
/* 119 << 216 */
{ { 0x6108f2b458a9d40dl,0xb036034838e15a52l,0xcc5610a3fd5625d6l,
0x79825dd083b0418el },
{ 0xf83a95fc6324b6e5l,0x2463114deedfc4ebl,0x58b177e32250707fl,
0x778dcd454af8d942l },
0 },
/* 125 << 216 */
{ { 0x1ecf2670eb816bf8l,0xa2d6e73aaa6d59c6l,0xf9a11434156852ebl,
0x9bc9bb70f6f82c83l },
{ 0xd23a018d9c874836l,0xd26bf8bc6db5a8b5l,0x1d648846bec0c624l,
0x39f15d97ef90302fl },
0 },
},
{
/* 0 << 224 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 224 */
{ { 0xe3417bc035d0b34al,0x440b386b8327c0a7l,0x8fb7262dac0362d1l,
0x2c41114ce0cdf943l },
{ 0x2ba5cef1ad95a0b1l,0xc09b37a867d54362l,0x26d6cdd201e486c9l,
0x20477abf42ff9297l },
0 },
/* 3 << 224 */
{ { 0x126f35b51e706ad9l,0xb99cebb4c3a9ebdfl,0xa75389afbf608d90l,
0x76113c4fc6c89858l },
{ 0x80de8eb097e2b5aal,0x7e1022cc63b91304l,0x3bdab6056ccc066cl,
0x33cbb144b2edf900l },
0 },
/* 4 << 224 */
{ { 0xc41764717af715d2l,0xe2f7f594d0134a96l,0x2c1873efa41ec956l,
0xe4e7b4f677821304l },
{ 0xe5c8ff9788d5374al,0x2b915e6380823d5bl,0xea6bc755b2ee8fe2l,
0x6657624ce7112651l },
0 },
/* 5 << 224 */
{ { 0x157af101dace5acal,0xc4fdbcf211a6a267l,0xdaddf340c49c8609l,
0x97e49f52e9604a65l },
{ 0x9be8e790937e2ad5l,0x846e2508326e17f1l,0x3f38007a0bbbc0dcl,
0xcf03603fb11e16d6l },
0 },
/* 7 << 224 */
{ { 0x5ed0c007f8ae7c38l,0x6db07a5c3d740192l,0xbe5e9c2a5fe36db3l,
0xd5b9d57a76e95046l },
{ 0x54ac32e78eba20f2l,0xef11ca8f71b9a352l,0x305e373eff98a658l,
0xffe5a100823eb667l },
0 },
/* 9 << 224 */
{ { 0x5c8ed8d5da64309dl,0x61a6de5691b30704l,0xd6b52f6a2f9b5808l,
0x0eee419498c958a7l },
{ 0xcddd9aab771e4caal,0x83965dfd78bc21bel,0x02affce3b3b504f5l,
0x30847a21561c8291l },
0 },
/* 10 << 224 */
{ { 0xd2eb2cf152bfda05l,0xe0e4c4e96197b98cl,0x1d35076cf8a1726fl,
0x6c06085b2db11e3dl },
{ 0x15c0c4d74463ba14l,0x9d292f830030238cl,0x1311ee8b3727536dl,
0xfeea86efbeaedc1el },
0 },
/* 11 << 224 */
{ { 0xb9d18cd366131e2el,0xf31d974f80fe2682l,0xb6e49e0fe4160289l,
0x7c48ec0b08e92799l },
{ 0x818111d8d1989aa7l,0xb34fa0aaebf926f9l,0xdb5fe2f5a245474al,
0xf80a6ebb3c7ca756l },
0 },
/* 13 << 224 */
{ { 0x8ea610593de9abe3l,0x404348819cdc03bel,0x9b261245cfedce8cl,
0x78c318b4cf5234a1l },
{ 0x510bcf16fde24c99l,0x2a77cb75a2c2ff5dl,0x9c895c2b27960fb4l,
0xd30ce975b0eda42bl },
0 },
/* 15 << 224 */
{ { 0x09521177ff57d051l,0x2ff38037fb6a1961l,0xfc0aba74a3d76ad4l,
0x7c76480325a7ec17l },
{ 0x7532d75f48879bc8l,0xea7eacc058ce6bc1l,0xc82176b48e896c16l,
0x9a30e0b22c750fedl },
0 },
/* 16 << 224 */
{ { 0xc37e2c2e421d3aa4l,0xf926407ce84fa840l,0x18abc03d1454e41cl,
0x26605ecd3f7af644l },
{ 0x242341a6d6a5eabfl,0x1edb84f4216b668el,0xd836edb804010102l,
0x5b337ce7945e1d8cl },
0 },
/* 17 << 224 */
{ { 0xd2075c77c055dc14l,0x2a0ffa2581d89cdfl,0x8ce815ea6ffdcbafl,
0xa3428878fb648867l },
{ 0x277699cf884655fbl,0xfa5b5bd6364d3e41l,0x01f680c6441e1cb7l,
0x3fd61e66b70a7d67l },
0 },
/* 19 << 224 */
{ { 0xfd5bb657b1fa70fbl,0xfa07f50fd8073a00l,0xf72e3aa7bca02500l,
0xf68f895d9975740dl },
{ 0x301120605cae2a6al,0x01bd721802874842l,0x3d4238917ce47bd3l,
0xa66663c1789544f6l },
0 },
/* 21 << 224 */
{ { 0xb4b9a39b36194d40l,0xe857a7c577612601l,0xf4209dd24ecf2f58l,
0x82b9e66d5a033487l },
{ 0xc1e36934e4e8b9ddl,0xd2372c9da42377d7l,0x51dc94c70e3ae43bl,
0x4c57761e04474f6fl },
0 },
/* 23 << 224 */
{ { 0xa39114e24415503bl,0xc08ff7c64cbb17e9l,0x1eff674dd7dec966l,
0x6d4690af53376f63l },
{ 0xff6fe32eea74237bl,0xc436d17ecd57508el,0x15aa28e1edcc40fel,
0x0d769c04581bbb44l },
0 },
/* 25 << 224 */
{ { 0xfe51d0296ae55043l,0x8931e98f44a87de1l,0xe57f1cc609e4fee2l,
0x0d063b674e072d92l },
{ 0x70a998b9ed0e4316l,0xe74a736b306aca46l,0xecf0fbf24fda97c7l,
0xa40f65cb3e178d93l },
0 },
/* 27 << 224 */
{ { 0x8667e981c27253c9l,0x05a6aefb92b36a45l,0xa62c4b369cb7bb46l,
0x8394f37511f7027bl },
{ 0x747bc79c5f109d0fl,0xcad88a765b8cc60al,0x80c5a66b58f09e68l,
0xe753d451f6127eacl },
0 },
/* 28 << 224 */
{ { 0xc44b74a15b0ec6f5l,0x47989fe45289b2b8l,0x745f848458d6fc73l,
0xec362a6ff61c70abl },
{ 0x070c98a7b3a8ad41l,0x73a20fc07b63db51l,0xed2c2173f44c35f4l,
0x8a56149d9acc9dcal },
0 },
/* 29 << 224 */
{ { 0x98f178819ac6e0f4l,0x360fdeafa413b5edl,0x0625b8f4a300b0fdl,
0xf1f4d76a5b3222d3l },
{ 0x9d6f5109587f76b8l,0x8b4ee08d2317fdb5l,0x88089bb78c68b095l,
0x95570e9a5808d9b9l },
0 },
/* 31 << 224 */
{ { 0x2e1284943fb42622l,0x3b2700ac500907d5l,0xf370fb091a95ec63l,
0xf8f30be231b6dfbdl },
{ 0xf2b2f8d269e55f15l,0x1fead851cc1323e9l,0xfa366010d9e5eef6l,
0x64d487b0e316107el },
0 },
/* 33 << 224 */
{ { 0xc9a9513929607745l,0x0ca07420a26f2b28l,0xcb2790e74bc6f9ddl,
0x345bbb58adcaffc0l },
{ 0xc65ea38cbe0f27a2l,0x67c24d7c641fcb56l,0x2c25f0a7a9e2c757l,
0x93f5cdb016f16c49l },
0 },
/* 34 << 224 */
{ { 0x2ca5a9d7c5ee30a1l,0xd1593635b909b729l,0x804ce9f3dadeff48l,
0xec464751b07c30c3l },
{ 0x89d65ff39e49af6al,0xf2d6238a6f3d01bcl,0x1095561e0bced843l,
0x51789e12c8a13fd8l },
0 },
/* 35 << 224 */
{ { 0xd633f929763231dfl,0x46df9f7de7cbddefl,0x01c889c0cb265da8l,
0xfce1ad10af4336d2l },
{ 0x8d110df6fc6a0a7el,0xdd431b986da425dcl,0xcdc4aeab1834aabel,
0x84deb1248439b7fcl },
0 },
/* 36 << 224 */
{ { 0x8796f1693c2a5998l,0x9b9247b47947190dl,0x55b9d9a511597014l,
0x7e9dd70d7b1566eel },
{ 0x94ad78f7cbcd5e64l,0x0359ac179bd4c032l,0x3b11baaf7cc222ael,
0xa6a6e284ba78e812l },
0 },
/* 37 << 224 */
{ { 0x8392053f24cea1a0l,0xc97bce4a33621491l,0x7eb1db3435399ee9l,
0x473f78efece81ad1l },
{ 0x41d72fe0f63d3d0dl,0xe620b880afab62fcl,0x92096bc993158383l,
0x41a213578f896f6cl },
0 },
/* 39 << 224 */
{ { 0x6fb4d4e42bad4d5fl,0xfa4c3590fef0059bl,0x6a10218af5122294l,
0x9a78a81aa85751d1l },
{ 0x04f20579a98e84e7l,0xfe1242c04997e5b5l,0xe77a273bca21e1e4l,
0xfcc8b1ef9411939dl },
0 },
/* 40 << 224 */
{ { 0xe20ea30292d0487al,0x1442dbec294b91fel,0x1f7a4afebb6b0e8fl,
0x1700ef746889c318l },
{ 0xf5bbffc370f1fc62l,0x3b31d4b669c79ccal,0xe8bc2aaba7f6340dl,
0xb0b08ab4a725e10al },
0 },
/* 41 << 224 */
{ { 0x44f05701ae340050l,0xba4b30161cf0c569l,0x5aa29f83fbe19a51l,
0x1b9ed428b71d752el },
{ 0x1666e54eeb4819f5l,0x616cdfed9e18b75bl,0x112ed5be3ee27b0bl,
0xfbf2831944c7de4dl },
0 },
/* 43 << 224 */
{ { 0x722eb104e2b4e075l,0x49987295437c4926l,0xb1e4c0e446a9b82dl,
0xd0cb319757a006f5l },
{ 0xf3de0f7dd7808c56l,0xb5c54d8f51f89772l,0x500a114aadbd31aal,
0x9afaaaa6295f6cabl },
0 },
/* 44 << 224 */
{ { 0x94705e2104cf667al,0xfc2a811b9d3935d7l,0x560b02806d09267cl,
0xf19ed119f780e53bl },
{ 0xf0227c09067b6269l,0x967b85335caef599l,0x155b924368efeebcl,
0xcd6d34f5c497bae6l },
0 },
/* 45 << 224 */
{ { 0x1dd8d5d36cceb370l,0x2aeac579a78d7bf9l,0x5d65017d70b67a62l,
0x70c8e44f17c53f67l },
{ 0xd1fc095086a34d09l,0xe0fca256e7134907l,0xe24fa29c80fdd315l,
0x2c4acd03d87499adl },
0 },
/* 46 << 224 */
{ { 0xbaaf75173b5a9ba6l,0xb9cbe1f612e51a51l,0xd88edae35e154897l,
0xe4309c3c77b66ca0l },
{ 0xf5555805f67f3746l,0x85fc37baa36401ffl,0xdf86e2cad9499a53l,
0x6270b2a3ecbc955bl },
0 },
/* 47 << 224 */
{ { 0xafae64f5974ad33bl,0x04d85977fe7b2df1l,0x2a3db3ff4ab03f73l,
0x0b87878a8702740al },
{ 0x6d263f015a061732l,0xc25430cea32a1901l,0xf7ebab3ddb155018l,
0x3a86f69363a9b78el },
0 },
/* 48 << 224 */
{ { 0x349ae368da9f3804l,0x470f07fea164349cl,0xd52f4cc98562baa5l,
0xc74a9e862b290df3l },
{ 0xd3a1aa3543471a24l,0x239446beb8194511l,0xbec2dd0081dcd44dl,
0xca3d7f0fc42ac82dl },
0 },
/* 49 << 224 */
{ { 0x1f3db085fdaf4520l,0xbb6d3e804549daf2l,0xf5969d8a19ad5c42l,
0x7052b13ddbfd1511l },
{ 0x11890d1b682b9060l,0xa71d3883ac34452cl,0xa438055b783805b4l,
0x432412774725b23el },
0 },
/* 51 << 224 */
{ { 0x40b08f7443b30ca8l,0xe10b5bbad9934583l,0xe8a546d6b51110adl,
0x1dd50e6628e0b6c5l },
{ 0x292e9d54cff2b821l,0x3882555d47281760l,0x134838f83724d6e3l,
0xf2c679e022ddcda1l },
0 },
/* 52 << 224 */
{ { 0x40ee88156d2a5768l,0x7f227bd21c1e7e2dl,0x487ba134d04ff443l,
0x76e2ff3dc614e54bl },
{ 0x36b88d6fa3177ec7l,0xbf731d512328fff5l,0x758caea249ba158el,
0x5ab8ff4c02938188l },
0 },
/* 53 << 224 */
{ { 0x33e1605635edc56dl,0x5a69d3497e940d79l,0x6c4fd00103866dcbl,
0x20a38f574893cdefl },
{ 0xfbf3e790fac3a15bl,0x6ed7ea2e7a4f8e6bl,0xa663eb4fbc3aca86l,
0x22061ea5080d53f7l },
0 },
/* 55 << 224 */
{ { 0x635a8e5ec3a0ee43l,0x70aaebca679898ffl,0x9ee9f5475dc63d56l,
0xce987966ffb34d00l },
{ 0xf9f86b195e26310al,0x9e435484382a8ca8l,0x253bcb81c2352fe4l,
0xa4eac8b04474b571l },
0 },
/* 57 << 224 */
{ { 0x2617f91c93aa96b8l,0x0fc8716b7fca2e13l,0xa7106f5e95328723l,
0xd1c9c40b262e6522l },
{ 0xb9bafe8642b7c094l,0x1873439d1543c021l,0xe1baa5de5cbefd5dl,
0xa363fc5e521e8affl },
0 },
/* 59 << 224 */
{ { 0xbc00fc2f2f8ba2c7l,0x0966eb2f7c67aa28l,0x13f7b5165a786972l,
0x3bfb75578a2fbba0l },
{ 0x131c4f235a2b9620l,0xbff3ed276faf46bel,0x9b4473d17e172323l,
0x421e8878339f6246l },
0 },
/* 60 << 224 */
{ { 0x0fa8587a25a41632l,0xc0814124a35b6c93l,0x2b18a9f559ebb8dbl,
0x264e335776edb29cl },
{ 0xaf245ccdc87c51e2l,0x16b3015b501e6214l,0xbb31c5600a3882cel,
0x6961bb94fec11e04l },
0 },
/* 61 << 224 */
{ { 0x3b825b8deff7a3a0l,0xbec33738b1df7326l,0x68ad747c99604a1fl,
0xd154c9349a3bd499l },
{ 0xac33506f1cc7a906l,0x73bb53926c560e8fl,0x6428fcbe263e3944l,
0xc11828d51c387434l },
0 },
/* 63 << 224 */
{ { 0x659b17c8d8ceb147l,0x9b649eeeb70a5554l,0x6b7fa0b5ac6bc634l,
0xd99fe2c71d6e732fl },
{ 0x30e6e7628d3abba2l,0x18fee6e7a797b799l,0x5c9d360dc696464dl,
0xe3baeb4827bfde12l },
0 },
/* 64 << 224 */
{ { 0x2bf5db47f23206d5l,0x2f6d34201d260152l,0x17b876533f8ff89al,
0x5157c30c378fa458l },
{ 0x7517c5c52d4fb936l,0xef22f7ace6518cdcl,0xdeb483e6bf847a64l,
0xf508455892e0fa89l },
0 },
/* 65 << 224 */
{ { 0xf77bb113a74ed3bel,0x89e4eb8f074f2637l,0x7fbfa84df7ce2aebl,
0xe7c6ecd5baaefe4cl },
{ 0x176bba7df6319542l,0x70098120f6080799l,0x2e2118339054d9aal,
0x1be4c6a78295a912l },
0 },
/* 71 << 224 */
{ { 0x6bb4d8c35df1455fl,0xb839f08f0384b033l,0x718868af11f95d50l,
0xae256a92e07a8801l },
{ 0xa5bafaf24d71a273l,0x18ff04ea2a30e68fl,0x364c193287ba727el,
0x4bb8cf99befcaf73l },
0 },
/* 77 << 224 */
{ { 0xc79f5b1f4e9fb3d7l,0x52854970a51cccddl,0xa4e27e97f00054a3l,
0x26a79792240e1232l },
{ 0xb15579fecb5ff465l,0x6ef54c3bd1722a84l,0xee211bfa5239a4d8l,
0x36c7db27270b7059l },
0 },
/* 83 << 224 */
{ { 0x5e7da0a9f9858cd3l,0x67459de5b633de49l,0x2db0d54b2e73892el,
0x37f50877adae399al },
{ 0x83c28b83b65e6179l,0xae5a915ca39faf17l,0x6ab8f3fbe841b53cl,
0x7c30997b0df7d004l },
0 },
/* 89 << 224 */
{ { 0x87904ca7b3b862bdl,0x7593db93cf9ea671l,0x8a2670f8739aa783l,
0x3921d779f5154ca6l },
{ 0xe81ca56468f65ebbl,0x0c600603bc4e64d4l,0xdf170049cb83b2d1l,
0x373893b863487064l },
0 },
/* 95 << 224 */
{ { 0x7c3c52b9c0c4e88el,0x0f0484d06f0c2446l,0xeb876827000fe87bl,
0xa749b3136d20f94al },
{ 0x0876dae9d55abda6l,0xe6e4367620726911l,0xf85e8a8c4a2676b4l,
0x4e8c97f1b4a890ebl },
0 },
/* 101 << 224 */
{ { 0xa992f482a3c0a4f4l,0xe1536f3f7a8d961al,0x26fc79ae000752b0l,
0xdbfb706b76ad8508l },
{ 0x2642b2ed6f4cf9e4l,0xa013db54557fa7e2l,0x2ef711821d326116l,
0x8dc3f5bcbafc83ecl },
0 },
/* 107 << 224 */
{ { 0x9671258578e5a201l,0xc71aca1de9125569l,0x360c45c0e2231379l,
0x2d71783512e82369l },
{ 0x392432d3d84b2153l,0x502fd3f6d6939ffel,0x33c440ae6e766cacl,
0x99f1fbee28062416l },
0 },
/* 113 << 224 */
{ { 0xe51ad841861604cbl,0x1ec9c54f630283a7l,0xcc42cad582a39473l,
0xa2eb053709929c4al },
{ 0xe374459767f655a3l,0x9f54c2451d7f2674l,0xd85e9163fbc8aba5l,
0x12fd0b55866bc892l },
0 },
/* 116 << 224 */
{ { 0x4f2c3063d7bd4661l,0xe533798d57a974ccl,0x44860d503ea02d85l,
0xf2a7f4e5acaa0521l },
{ 0x05593061abb108f0l,0x56d1056044528309l,0x1f674df9c88b6d1el,
0x19fdc4cbd8744c4dl },
0 },
/* 119 << 224 */
{ { 0xfd1488ec00f2f1d5l,0x24fcc67b44a825ddl,0xc7bfae2ea925a0f4l,
0x5e03249cad59cf48l },
{ 0x1dc5a8e11af4844cl,0x89b2fbc58a598c20l,0xb0f56afff2078121l,
0x8194012d4878bb0dl },
0 },
/* 125 << 224 */
{ { 0xc1cbe9d3a5ae1031l,0x38da74435706b987l,0x01844b55b353f188l,
0x390c59ca87a807c5l },
{ 0x55ac7b1fb13b780cl,0x060970bff375c1cbl,0x8dd1f378c7ab4e5cl,
0xcca782e5cf726645l },
0 },
},
{
/* 0 << 232 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 232 */
{ { 0x91213462f23f2d92l,0x6cab71bd60b94078l,0x6bdd0a63176cde20l,
0x54c9b20cee4d54bcl },
{ 0x3cd2d8aa9f2ac02fl,0x03f8e617206eedb0l,0xc7f68e1693086434l,
0x831469c592dd3db9l },
0 },
/* 3 << 232 */
{ { 0x4a9090cde36d0757l,0xf722d7b1d9a29382l,0xfb7fb04c04b48ddfl,
0x628ad2a7ebe16f43l },
{ 0xcd3fbfb520226040l,0x6c34ecb15104b6c4l,0x30c0754ec903c188l,
0xec336b082d23cab0l },
0 },
/* 4 << 232 */
{ { 0x9f51439e558df019l,0x230da4baac712b27l,0x518919e355185a24l,
0x4dcefcdd84b78f50l },
{ 0xa7d90fb2a47d4c5al,0x55ac9abfb30e009el,0xfd2fc35974eed273l,
0xb72d824cdbea8fafl },
0 },
/* 5 << 232 */
{ { 0xd213f923cbb13d1bl,0x98799f425bfb9bfel,0x1ae8ddc9701144a9l,
0x0b8b3bb64c5595eel },
{ 0x0ea9ef2e3ecebb21l,0x17cb6c4b3671f9a7l,0x47ef464f726f1d1fl,
0x171b94846943a276l },
0 },
/* 7 << 232 */
{ { 0xc9941109a607419dl,0xfaa71e62bb6bca80l,0x34158c1307c431f3l,
0x594abebc992bc47al },
{ 0x6dfea691eb78399fl,0x48aafb353f42cba4l,0xedcd65af077c04f0l,
0x1a29a366e884491al },
0 },
/* 9 << 232 */
{ { 0x7bf6a5c1f7ea25aal,0xd165e6bffbb07d5fl,0xe353936189e78671l,
0xa3fcac892bac4219l },
{ 0xdfab6fd4f0baa8abl,0x5a4adac1e2c1c2e5l,0x6cd75e3140d85849l,
0xce263fea19b39181l },
0 },
/* 10 << 232 */
{ { 0xb8d804a3315980cdl,0x693bc492fa3bebf7l,0x3578aeee2253c504l,
0x158de498cd2474a2l },
{ 0x1331f5c7cfda8368l,0xd2d7bbb378d7177el,0xdf61133af3c1e46el,
0x5836ce7dd30e7be8l },
0 },
/* 11 << 232 */
{ { 0xe042ece59a29a5c5l,0xb19b3c073b6c8402l,0xc97667c719d92684l,
0xb5624622ebc66372l },
{ 0x0cb96e653c04fa02l,0x83a7176c8eaa39aal,0x2033561deaa1633fl,
0x45a9d0864533df73l },
0 },
/* 13 << 232 */
{ { 0xa29ae9df5ece6e7cl,0x0603ac8f0facfb55l,0xcfe85b7adda233a5l,
0xe618919fbd75f0b8l },
{ 0xf555a3d299bf1603l,0x1f43afc9f184255al,0xdcdaf341319a3e02l,
0xd3b117ef03903a39l },
0 },
/* 15 << 232 */
{ { 0xb6b82fa74d82f4c2l,0x90725a606804efb3l,0xbc82ec46adc3425el,
0xb7b805812787843el },
{ 0xdf46d91cdd1fc74cl,0xdc1c62cbe783a6c4l,0x59d1b9f31a04cbbal,
0xd87f6f7295e40764l },
0 },
/* 16 << 232 */
{ { 0x196860411e84e0e5l,0xa5db84d3aea34c93l,0xf9d5bb197073a732l,
0xb8d2fe566bcfd7c0l },
{ 0x45775f36f3eb82fal,0x8cb20cccfdff8b58l,0x1659b65f8374c110l,
0xb8b4a422330c789al },
0 },
/* 17 << 232 */
{ { 0xa6312c9e8977d99bl,0xbe94433183f531e7l,0x8232c0c218d3b1d4l,
0x617aae8be1247b73l },
{ 0x40153fc4282aec3bl,0xc6063d2ff7b8f823l,0x68f10e583304f94cl,
0x31efae74ee676346l },
0 },
/* 19 << 232 */
{ { 0xd98bf2a43734e520l,0x5e3abbe3209bdcbal,0x77c76553bc945b35l,
0x5331c093c6ef14aal },
{ 0x518ffe2976b60c80l,0x2285593b7ace16f8l,0xab1f64ccbe2b9784l,
0xe8f2c0d9ab2421b6l },
0 },
/* 21 << 232 */
{ { 0x481dae5fd5ecfefcl,0x07084fd8c2bff8fcl,0x8040a01aea324596l,
0x4c646980d4de4036l },
{ 0x9eb8ab4ed65abfc3l,0xe01cb91f13541ec7l,0x8f029adbfd695012l,
0x9ae284833c7569ecl },
0 },
/* 23 << 232 */
{ { 0xc83605f6f10ff927l,0xd387145123739fc6l,0x6d163450cac1c2ccl,
0x6b521296a2ec1ac5l },
{ 0x0606c4f96e3cb4a5l,0xe47d3f41778abff7l,0x425a8d5ebe8e3a45l,
0x53ea9e97a6102160l },
0 },
/* 25 << 232 */
{ { 0x6b72fab526bc2797l,0x13670d1699f16771l,0x001700521e3e48d1l,
0x978fe401b7adf678l },
{ 0x55ecfb92d41c5dd4l,0x5ff8e247c7b27da5l,0xe7518272013fb606l,
0x5768d7e52f547a3cl },
0 },
/* 27 << 232 */
{ { 0x0e966e64c73b2383l,0x49eb3447d17d8762l,0xde1078218da05dabl,
0x443d8baa016b7236l },
{ 0x163b63a5ea7610d6l,0xe47e4185ce1ca979l,0xae648b6580baa132l,
0xebf53de20e0d5b64l },
0 },
/* 28 << 232 */
{ { 0x6ba535da9a85788bl,0xd21f03aebd0626d4l,0x099f8c47e873dc64l,
0xcda8564d018ec97el },
{ 0x3e8d7a5cde92c68cl,0x78e035a173323cc4l,0x3ef26275f880ff7cl,
0xa4ee3dff273eedaal },
0 },
/* 29 << 232 */
{ { 0x8bbaec49571d92acl,0x569e85fe4692517fl,0x8333b014a14ea4afl,
0x32f2a62f12e5c5adl },
{ 0x98c2ce3a06d89b85l,0xb90741aa2ff77a08l,0x2530defc01f795a2l,
0xd6e5ba0b84b3c199l },
0 },
/* 31 << 232 */
{ { 0x3d1b24cb28c682c6l,0x27f252288612575bl,0xb587c779e8e66e98l,
0x7b0c03e9405eb1fel },
{ 0xfdf0d03015b548e7l,0xa8be76e038b36af7l,0x4cdab04a4f310c40l,
0x6287223ef47ecaecl },
0 },
/* 33 << 232 */
{ { 0x0a4c6f3670ad54aal,0xc24cfd0d2a543909l,0xe1b0bc5b745c1a97l,
0xb8431cfd68f0ddbfl },
{ 0x326357989ed8cb06l,0xa00a80ff759d2b7dl,0x81f335c190570e02l,
0xbfccd89849c4e4d9l },
0 },
/* 34 << 232 */
{ { 0x4dcb646bfd16d8c4l,0x76a6b640e38ba57bl,0xd92de1f79d8ae7e2l,
0x126f48f13f77f23bl },
{ 0xb7b53ca977e8abc2l,0x3faa17112c0787ffl,0xf8f9308c8e5762f8l,
0x600a8a7f6b83aea8l },
0 },
/* 35 << 232 */
{ { 0xa2aed4a799aa03c0l,0x1f93b93da18b79c5l,0x7b4550b7314192c3l,
0x9da00676272bb08el },
{ 0xe42f0d7e23e072edl,0x7ce76494888b5783l,0x4c7900203680b63bl,
0x6040c83f662a8718l },
0 },
/* 36 << 232 */
{ { 0xba9e5c88a56d73edl,0x6c24f7712ca054d3l,0x4a37c235083beae1l,
0x04a883b26483e9fdl },
{ 0x0c63f3aee27c2c5dl,0x0e1da88dae4671f1l,0xa577e8e25995e1dbl,
0xbfc4b1b16ed6066al },
0 },
/* 37 << 232 */
{ { 0x8b398541f53d9e63l,0x4ab045bb019395cbl,0x69a1b90371dd70c7l,
0xdedf284b38aaa431l },
{ 0xb45e245aaed3efe7l,0x49460905079f2facl,0xde4dee470845bd78l,
0x0540524039d02ec3l },
0 },
/* 39 << 232 */
{ { 0x300cf051675cc986l,0x758afea99324219fl,0xf524c3fad5a93b5fl,
0xb73385abc3864a8al },
{ 0xbde19289f6be9050l,0xbb9018558205a3f3l,0x99a9d14d229f6b89l,
0x4c3a802f4336e68fl },
0 },
/* 40 << 232 */
{ { 0xdd4a12d8e12b31f8l,0x577e29bc177736e6l,0x2353722ba88935e8l,
0xca1d3729015f286dl },
{ 0x86c7b6a239a3e035l,0x6e5250bfd3b03a9fl,0x79d98930fd0d536el,
0x8c4cbbabfa0c3832l },
0 },
/* 41 << 232 */
{ { 0x92ecff374f8e6163l,0x171cc8830f35faeal,0xc5434242bcd36142l,
0x707049adb28b63bbl },
{ 0xa1f4d1dbf6443da9l,0x002bb062dabc108bl,0x17287f171a272b08l,
0x2a3aac8c884cf6bbl },
0 },
/* 43 << 232 */
{ { 0x55524645651c0a5al,0x14624a9703cf0d12l,0xca9315a8f884a9e2l,
0x9840c6e2df7c9d59l },
{ 0xd96bd10a7438e8d5l,0x12be73d2b2f887del,0x5e47445dca2493efl,
0x85aef555e9fff03el },
0 },
/* 44 << 232 */
{ { 0x169b38c9a43b2339l,0x884308d91732bfabl,0xe4b593a28ff202ddl,
0xaf51d11f1e65376cl },
{ 0x6ec648de741525ffl,0xf93cbd369ff4c628l,0xc76df9efb1129c79l,
0x31a5f2e2b7a67294l },
0 },
/* 45 << 232 */
{ { 0x0661bc02801d0e38l,0x4a37dc0e71fc46b7l,0x0b224cfc80c3e311l,
0x2dd3d2779646a957l },
{ 0xfa45aa18ef524012l,0x5d2a2d0916185a09l,0x34d5c630b5313dcel,
0xd9581ed151e4cf84l },
0 },
/* 46 << 232 */
{ { 0x5845aa4a8ebd2af8l,0x141404ecd3df43ccl,0xff3fc7681ffd48d9l,
0x8a096e72e0cefb65l },
{ 0xc9c81cfdffc3a5cdl,0x7550aa3029b27cf9l,0x34dca72b65fa0380l,
0xe8c5f6059ddd032bl },
0 },
/* 47 << 232 */
{ { 0xe53da8a46bfbadb3l,0x4a9dfa55afaeeb5el,0x076245ea6644b1d4l,
0xc19be4012307bbcbl },
{ 0x097774c19d77318bl,0xacc8a1519cfd51c4l,0x736ef6b3ecaa7b08l,
0x107479132d643a80l },
0 },
/* 48 << 232 */
{ { 0x2d500910cab91f1el,0xbedd9e444d1cd216l,0xd634b74fedd02252l,
0xbd60f8e11258617al },
{ 0xd8c7537b9e05614al,0xfd26c766e7af5fc5l,0x0660b581582bd926l,
0x87019244acf07fc8l },
0 },
/* 49 << 232 */
{ { 0xd4889fdf6220ae8el,0x745d67ec1abf1549l,0x957b2e3d2fb89c36l,
0x9768c90edc62ada9l },
{ 0x90332fd748e6c46el,0x5aa5a4e54e90ef0dl,0x58838fd3ddcc8571l,
0xd12f6c6f9a721126l },
0 },
/* 51 << 232 */
{ { 0x2f0fd0b2cec757bal,0x46a7a9c63032cd1dl,0x9af3a600547d7a77l,
0x828e16eca43da1bal },
{ 0x0b303a66092a8d92l,0x78ba0389c23d08bal,0x52aed08d4616bd29l,
0x4c0ff1210539c9fal },
0 },
/* 52 << 232 */
{ { 0x2c3b7322badcfe8el,0x6e0616fac5e25a04l,0x0a3c12753da6e4a2l,
0xe46c957e077bca01l },
{ 0xb46ca4e3da4be64bl,0xa59bda668e75ee78l,0x41835184a4de98f2l,
0x6efb1f924ed6a568l },
0 },
/* 53 << 232 */
{ { 0xbb8cdc094af1dd72l,0x93c0aa38a2460633l,0xf66f5d238a7ebc93l,
0x43ecda843e8e37a6l },
{ 0x399da8265fd5139el,0x8b39930fd446f38el,0x114414135d2b68efl,
0x8be163b8d1637c38l },
0 },
/* 55 << 232 */
{ { 0x488e2a35b70ddbd3l,0xb4aa5f718da50077l,0xb38b74b1d8752bbdl,
0x7007f328416106a3l },
{ 0xe6a62e4fcec4ea68l,0x9fdfb79741ef920bl,0x1a19d7dfe3c337a6l,
0x08f643558be0f586l },
0 },
/* 57 << 232 */
{ { 0x91a5d8ff60343a1fl,0x921e442173ef8cdfl,0x4358f27b975138cdl,
0x36fd8577a4992b08l },
{ 0xc07c8ca1f8d044c6l,0xcf42903687747b6bl,0x0932ffb0867c8632l,
0x7e565213250e5a89l },
0 },
/* 59 << 232 */
{ { 0xae7c3b9b06255feal,0x2eb1d9a78a6fe229l,0xf81548e77601e6f8l,
0x777394eb7bd96d6cl },
{ 0x54734187000a3509l,0xaeec146492d43c04l,0xc9b7f0d7c428b4acl,
0x9d4bcedccd7f7018l },
0 },
/* 60 << 232 */
{ { 0x4741b9b311370605l,0x47fa72f75d09b355l,0x391a71ac7a144c6al,
0x0808c0f498b6e3cal },
{ 0x7eaed9ef7fe53900l,0xf157a2a5e5a830bal,0xd13ec09127974afcl,
0x78d710a70b87997dl },
0 },
/* 61 << 232 */
{ { 0xcbb96ecb4e263f81l,0x093e0d1509084351l,0x7af3232629220a81l,
0xd721b415c60f36dcl },
{ 0xe3340a87fe9387a1l,0x6088bf482ff2b126l,0xd31028f1d2bc982cl,
0x9794e106630d52cbl },
0 },
/* 63 << 232 */
{ { 0x1dac76780b11e972l,0x46e814c62698dafel,0x553f7370c37640d6l,
0xdcf588cc51cede93l },
{ 0x4d6b56d3c3f6215bl,0x07edc6621b8f8f03l,0xdfef9d60b9a5dfbcl,
0x377edf4d10af7a5bl },
0 },
/* 64 << 232 */
{ { 0x8928e99aeeaf8c49l,0xee7aa73d6e24d728l,0x4c5007c2e72b156cl,
0x5fcf57c5ed408a1dl },
{ 0x9f719e39b6057604l,0x7d343c01c2868bbfl,0x2cca254b7e103e2dl,
0xe6eb38a9f131bea2l },
0 },
/* 65 << 232 */
{ { 0x26ae28bede7a4b7el,0xd2f07569d2664163l,0x798690d4ff69266al,
0x77093d356ef3695dl },
{ 0xaca9903d567dd3dfl,0x259c59a3a274c67bl,0x9f34bc0bfc1198b0l,
0x51a7726290b1521cl },
0 },
/* 71 << 232 */
{ { 0xa20644bc80ca5391l,0xf9cdb4f7e5b36ea3l,0xe7936c0641426e22l,
0x39bc23033eef8a52l },
{ 0x31253f43e5d8f896l,0xb0e5a588dc3df499l,0x1d03519a2d7e66d5l,
0x923de91f6d7da5e3l },
0 },
/* 77 << 232 */
{ { 0x17a833ffedf861e4l,0x0ee3d0af4ebec965l,0xd0fac1c1ea66870el,
0x325756d0ae810cf4l },
{ 0x4ed78d2c78e9a415l,0x6cc65685192046e4l,0x03e4243d8498a91el,
0x56a02dd25ab97794l },
0 },
/* 83 << 232 */
{ { 0xc2fd373748e2b156l,0x259e9a98139645bel,0xe90106fb9877b4f1l,
0x49e5bac5889ce002l },
{ 0x936a7dd18cf14e0bl,0x70bf6d304e3a8a01l,0x99d3e8bfeb748b62l,
0xa52a27c99b31c55cl },
0 },
/* 89 << 232 */
{ { 0x9db1d41d300637d5l,0xe38744397c2dd836l,0x36179baf0d04ceb3l,
0xe9ccd17b251b3f2dl },
{ 0xd8228073442b6d1dl,0x59a038363eed2971l,0xb443732046979f5cl,
0x54ad4113ae63937cl },
0 },
/* 95 << 232 */
{ { 0x092c34e6d9246e9fl,0xb4b3b63d3eeb18a7l,0x8b3778beed9d1383l,
0xe4cb7be9d70d5d80l },
{ 0xcff12e9b3d059203l,0x277af117ba86699fl,0x9bd4e8e363603585l,
0x0750b0f28e89c8d5l },
0 },
/* 101 << 232 */
{ { 0x38b77e5958f7187bl,0x31c7068de0cb618el,0xa0f8e0d6c11ebe62l,
0x07adc8010473d7ebl },
{ 0x36161a2c5c3e9510l,0xb2ec90d64ad04815l,0x01e2dd1f917d8166l,
0x549bcbdd6aa0f794l },
0 },
/* 107 << 232 */
{ { 0x4ab27c3a8e4e45e5l,0xf6bd9d82f2bb99e7l,0xcab48c735e9da59fl,
0xdeb09eb2b9727353l },
{ 0xc4a7954bafb8fa3el,0x34af2a49abf6803dl,0xc1ee1416d63e13bbl,
0xd49bf42d7a949193l },
0 },
/* 113 << 232 */
{ { 0x504823ea9c9c07c6l,0x9dbec902bee2288cl,0x018d7875f0ceb6bbl,
0x678b997304f7022cl },
{ 0x74d658238c5fb369l,0x7d4e1f114ca89ee8l,0x148316399905abc0l,
0xc107324e2c4deff4l },
0 },
/* 116 << 232 */
{ { 0x1bc4fa8bdadc4404l,0x0edb9534daa12ee3l,0x084481b6a5f7289cl,
0x7f42461d9d8fb3d2l },
{ 0xf93f1d3212293c70l,0xc14706596bb73ea3l,0xf80834afde339cadl,
0x99dcfc0081f22953l },
0 },
/* 119 << 232 */
{ { 0x497e544f9fca737el,0x7f6342210e91e1afl,0x638e500c78d7b20bl,
0xb1ffed3f7ebaa947l },
{ 0x751aa54871086f83l,0x8100bb703cf97848l,0xc32f91ace19ad68fl,
0x7dffb6851fb9157el },
0 },
/* 125 << 232 */
{ { 0x5108589778e25060l,0x33e3cb7316cfe6cbl,0x0884cb8d410c0822l,
0xaa806ecc0be3fc94l },
{ 0x9f9121f5f692353el,0xb9ab0310f8ee3349l,0x390032ce2561973el,
0xc07b6c6c8856b766l },
0 },
},
{
/* 0 << 240 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 240 */
{ { 0x1083e2ea1f095615l,0x0a28ad7714e68c33l,0x6bfc02523d8818bel,
0xb585113af35850cdl },
{ 0x7d935f0b30df8aa1l,0xaddda07c4ab7e3acl,0x92c34299552f00cbl,
0xc33ed1de2909df6cl },
0 },
/* 3 << 240 */
{ { 0xabe7905a83cdd60el,0x50602fb5a1170184l,0x689886cdb023642al,
0xd568d090a6e1fb00l },
{ 0x5b1922c70259217fl,0x93831cd9c43141e4l,0xdfca35870c95f86el,
0xdec2057a568ae828l },
0 },
/* 4 << 240 */
{ { 0x568f8925913cc16dl,0x18bc5b6de1a26f5al,0xdfa413bef5f499ael,
0xf8835decc3f0ae84l },
{ 0xb6e60bd865a40ab0l,0x65596439194b377el,0xbcd8562592084a69l,
0x5ce433b94f23ede0l },
0 },
/* 5 << 240 */
{ { 0x860d523d42e06189l,0xbf0779414e3aff13l,0x0b616dcac1b20650l,
0xe66dd6d12131300dl },
{ 0xd4a0fd67ff99abdel,0xc9903550c7aac50dl,0x022ecf8b7c46b2d7l,
0x3333b1e83abf92afl },
0 },
/* 7 << 240 */
{ { 0xefecdef7be42a582l,0xd3fc608065046be6l,0xc9af13c809e8dba9l,
0x1e6c9847641491ffl },
{ 0x3b574925d30c31f7l,0xb7eb72baac2a2122l,0x776a0dacef0859e7l,
0x06fec31421900942l },
0 },
/* 9 << 240 */
{ { 0x7ec62fbbf4737f21l,0xd8dba5ab6209f5acl,0x24b5d7a9a5f9adbel,
0x707d28f7a61dc768l },
{ 0x7711460bcaa999eal,0xba7b174d1c92e4ccl,0x3c4bab6618d4bf2dl,
0xb8f0c980eb8bd279l },
0 },
/* 10 << 240 */
{ { 0x9d658932790691bfl,0xed61058906b736ael,0x712c2f04c0d63b6el,
0x5cf06fd5c63d488fl },
{ 0x97363facd9588e41l,0x1f9bf7622b93257el,0xa9d1ffc4667acacel,
0x1cf4a1aa0a061ecfl },
0 },
/* 11 << 240 */
{ { 0x28d675b2c0519a23l,0x9ebf94fe4f6952e3l,0xf28bb767a2294a8al,
0x85512b4dfe0af3f5l },
{ 0x18958ba899b16a0dl,0x95c2430cba7548a7l,0xb30d1b10a16be615l,
0xe3ebbb9785bfb74cl },
0 },
/* 13 << 240 */
{ { 0x81eeb865d2fdca23l,0x5a15ee08cc8ef895l,0x768fa10a01905614l,
0xeff5b8ef880ee19bl },
{ 0xf0c0cabbcb1c8a0el,0x2e1ee9cdb8c838f9l,0x0587d8b88a4a14c0l,
0xf6f278962ff698e5l },
0 },
/* 15 << 240 */
{ { 0x9c4b646e9e2fce99l,0x68a210811e80857fl,0x06d54e443643b52al,
0xde8d6d630d8eb843l },
{ 0x7032156342146a0al,0x8ba826f25eaa3622l,0x227a58bd86138787l,
0x43b6c03c10281d37l },
0 },
/* 16 << 240 */
{ { 0x02b37a952f41deffl,0x0e44a59ae63b89b7l,0x673257dc143ff951l,
0x19c02205d752baf4l },
{ 0x46c23069c4b7d692l,0x2e6392c3fd1502acl,0x6057b1a21b220846l,
0xe51ff9460c1b5b63l },
0 },
/* 17 << 240 */
{ { 0x7aca2632f02fc0f0l,0xb92b337dc7f01c86l,0x624bc4bf5afbdc7dl,
0x812b07bc4de21a5el },
{ 0x29d137240b2090ccl,0x0403c5095a1b2132l,0x1dca34d50e35e015l,
0xf085ed7d3bbbb66fl },
0 },
/* 19 << 240 */
{ { 0xc27b98f9f781e865l,0x51e1f692994e1345l,0x0807d516e19361eel,
0x13885ceffb998aefl },
{ 0xd223d5e92f0f8a17l,0x48672010e8d20280l,0x6f02fd60237eac98l,
0xcc51bfad9ada7ee7l },
0 },
/* 21 << 240 */
{ { 0x2756bcdd1e09701dl,0x94e31db990d45c80l,0xb9e856a98566e584l,
0x4f87d9deab10e3f3l },
{ 0x166ecb373ded9cb2l,0xfd14c7073f653d3el,0x105d049b92aec425l,
0x7f657e4909a42e11l },
0 },
/* 23 << 240 */
{ { 0xea6490076a159594l,0x3e424d6b1f97ce52l,0xac6df30a185e8ccbl,
0xad56ec80517747bfl },
{ 0xf0935ccf4391fe93l,0x866b260f03811d40l,0x792047b99f7b9abel,
0xb1600bc88ee42d84l },
0 },
/* 25 << 240 */
{ { 0x2d97b3db7768a85fl,0x2b78f6334287e038l,0x86c947676f892bb1l,
0x920bfb1ac0a9c200l },
{ 0x4292f6ec332041b2l,0xa30bb937c9989d54l,0x39f941ebc6d5879el,
0x76a450fcdfdbb187l },
0 },
/* 27 << 240 */
{ { 0x31256089ee430db6l,0xaece9bd8f6836f56l,0x484cfc4bfb85a046l,
0xee1e3e2c1599b2b9l },
{ 0x7e3c38903d122eafl,0xaa940ce0c770556cl,0x4802d6631b08fae8l,
0xb08a85807f69f8bal },
0 },
/* 28 << 240 */
{ { 0x70ed0a0405411eael,0x60deb08f16494c66l,0x8cf20fc6133797bbl,
0x3e30f4f50c6bc310l },
{ 0x1a677c29749c46c7l,0xfe1d93f4f11e981cl,0x937303d82e3e688bl,
0x01aef5a7a6aa9e85l },
0 },
/* 29 << 240 */
{ { 0x4902f495b959b920l,0x13b0fdbdfca2d885l,0x41cbd9e7b6a2f0fal,
0xf9bdf11056430b87l },
{ 0xd705a223954d19b9l,0x74d0fc5c972a4fdel,0xcbcbfed6912977eal,
0x870611fdcc59a5afl },
0 },
/* 31 << 240 */
{ { 0xf4f19bd04089236al,0x3b206c12313d0e0bl,0x73e70df303feaeb2l,
0x09dba0eb9bd1efe0l },
{ 0x4c7fd532fc4e5305l,0xd792ffede93d787al,0xc72dc4e2e4245010l,
0xe7e0d47d0466bbbdl },
0 },
/* 33 << 240 */
{ { 0x549c861983e4f8bbl,0xf70133fbd8e06829l,0xc962b8e28c64e849l,
0xad87f5b1901e4c25l },
{ 0xd005bde568a1cab5l,0x6a591acf0d2a95bal,0x728f14ce30ebcae4l,
0x303cec99a3459b0fl },
0 },
/* 34 << 240 */
{ { 0x62e62f258350e6bcl,0x5a5ea94d96adba1fl,0x36c2a2844a23c7b3l,
0x32f50a72992f5c8bl },
{ 0x55d685204136c6afl,0x1aafd32992794f20l,0x69f5d820b59aa9bfl,
0x218966a8570e209al },
0 },
/* 35 << 240 */
{ { 0xf3204feb2f9a31fcl,0x77f33a360429f463l,0xfb9f3a5a59a1d6a7l,
0x4445a2e93b1a78e0l },
{ 0xc77a9b6fd58e32d3l,0xa44e23c8302e6390l,0x7d8e00b4c0f7bcb0l,
0xd2e2237b0ffa46f4l },
0 },
/* 36 << 240 */
{ { 0xb3046cb13c8ea6d3l,0xf0151b5efce2f445l,0xa968e60b55e5715el,
0x39e52662587dce61l },
{ 0xfde176e0b7de2862l,0x298d83e68e8db497l,0x1042136773641bfbl,
0xd72ac78d36e0bb0dl },
0 },
/* 37 << 240 */
{ { 0x2cabb94fff6b8340l,0xf425a35a21771acbl,0x564fec3d12c4a758l,
0x57a61af39ba8f281l },
{ 0x5807e78c97e9a71dl,0x991d9be75b8314e6l,0x1cd90b16ec4133b9l,
0xff043efa0f1ac621l },
0 },
/* 39 << 240 */
{ { 0xea6e5527d7e58321l,0xfb95c13c04056ff1l,0x9447361f2fc4e732l,
0x63cbc655786d0154l },
{ 0x302c0d668610fb71l,0xbf692d6920d06613l,0x8465b74b4be8355al,
0xcc883c95c31356b7l },
0 },
/* 40 << 240 */
{ { 0x4ab6e919b33eabcal,0xb58f0998a1acacbfl,0xa747e5782ddbc28fl,
0xf9dd04ca59866cbcl },
{ 0x084c062ff7a0073fl,0x6d22acdfb577fc38l,0x0870ee08eacd907cl,
0x710b4b266c9fcf95l },
0 },
/* 41 << 240 */
{ { 0xa99546faf1c835a7l,0x1514a5a30d59f933l,0x1f6ad0f81bedd730l,
0x24de76287b528aaal },
{ 0x4d9e7845c02fff87l,0xba74f8a942c79e67l,0x5bf5015f476e285bl,
0x0b1a5d8b1b93b364l },
0 },
/* 43 << 240 */
{ { 0x8c7c0d7ff839819fl,0xc82b819827a95965l,0xce7294d377270519l,
0xfb508d6cad47aff7l },
{ 0xf6de15431035076al,0x697d60ac5dd465c6l,0x88d771b8a76dcd26l,
0x8c7ce11ab10c9c44l },
0 },
/* 44 << 240 */
{ { 0x215ea44a08216060l,0xccfa18a187996cf6l,0xccfb2483f7eccdd2l,
0x07aa601ad453c66al },
{ 0xd43cf263cffee9e2l,0x230bc099718f69bfl,0xc43de21300c193e8l,
0x94cf251799c8746fl },
0 },
/* 45 << 240 */
{ { 0x4785d7f87d1320c5l,0x84bed8c3d0771dcbl,0xff28044d22254edbl,
0x2e5992a445f71504l },
{ 0xcb92695b72bbf5cdl,0x9bcbde35c42422e5l,0x856594fd1d07ed86l,
0x3aaf0b717716b4ffl },
0 },
/* 46 << 240 */
{ { 0x3edf24f9eebed405l,0x9e3141360eccb503l,0xf7704c25b85c2bc2l,
0x4cb7c1de9a3247eel },
{ 0x798ac8f2f0b507c5l,0x6e6217206851bbf1l,0xc0b89398c0d9ed16l,
0xf7d5d2a09f20728fl },
0 },
/* 47 << 240 */
{ { 0x7358a94a19f0ededl,0x5e08c4c3e32ccfbbl,0x84a8eeeb0089f071l,
0xdaf0514c41fc436el },
{ 0x30fe216f310309afl,0xe72f77bd564e6fc9l,0xe7ef3bddfdc59fd5l,
0xd199b1c9a8e1169cl },
0 },
/* 48 << 240 */
{ { 0xb9dc857c5b0f7bd4l,0x6990c2c9108ea1cdl,0x84730b83b984c7a9l,
0x552723d2eab18a78l },
{ 0x9752c2e2919ba0f9l,0x075a3bd94bf40890l,0x71e52a04a6d98212l,
0x3fb6607a9f18a4c8l },
0 },
/* 49 << 240 */
{ { 0xa0305d01e8c3214dl,0x025b3cae8d51cea3l,0xeeaf7ab239923274l,
0x51179407c876b72cl },
{ 0xcf0241c7d4549a68l,0xffae7f4c793dab3dl,0xdfb5917b4bdf2280l,
0xcf25c870a652e391l },
0 },
/* 51 << 240 */
{ { 0xb1345466b922e1c8l,0xae42f46ab5bf8a34l,0x1e1ab6053310e604l,
0x64093cd9b4d7a658l },
{ 0x5d3b385ab3d9242cl,0x2225b99ae56f8ec7l,0x19a8cbfc9a916e11l,
0x11c5df831f957c03l },
0 },
/* 52 << 240 */
{ { 0x09f1d04af381147bl,0x7be13628b26b345fl,0xd8371966d1c60b78l,
0xf1743c2c5d91808fl },
{ 0x8a2966acafc71cc3l,0x0ba9702efdfc24c3l,0x60c80158e6fbb539l,
0x58eaee49812c32f4l },
0 },
/* 53 << 240 */
{ { 0x31af7f5ee89d0b84l,0xa776dada6caa110bl,0xd67b7891df6d54ddl,
0x831613cab82b8a5cl },
{ 0x7a4eb86ef020af6dl,0x2914fd11bd795a7bl,0xc038a273fcb54a17l,
0x6b2dc8e18219cc75l },
0 },
/* 55 << 240 */
{ { 0x031fc875464ba9b5l,0xe268cf45bd812dd3l,0x443f57defbfb664al,
0xfd1a38544e28c2fal },
{ 0xb8799782cb96515bl,0xa12d3e3f1138c95dl,0x0cc5ee117748ee57l,
0x6ab167cf955a7dfcl },
0 },
/* 57 << 240 */
{ { 0x0d54aaca4dc1c74fl,0x74af1807bf2e0d61l,0x151254f87aebe0f1l,
0x4072f38bf6376095l },
{ 0x31ebe17a26646abfl,0xdc8cb6b40ecc1282l,0x4f6326bbbc095a66l,
0x37dad65a0363636dl },
0 },
/* 59 << 240 */
{ { 0xc851860a70f8c15al,0xb2d4555488368381l,0xbfd46e197019c7b6l,
0xa1a9b12f6bb6f33bl },
{ 0xecfd5fe6f170c82bl,0x6d58bb52d601afc3l,0xb8b3de15fe6eb102l,
0xad07336886a47964l },
0 },
/* 60 << 240 */
{ { 0x89f514c91911840fl,0xc9fa6b504cc106bcl,0x70a97f0dfe55b4f1l,
0xada6306be5888609l },
{ 0xa9437881c6dc8d15l,0x0fc0f5368411f3dfl,0xd26162087a913dd2l,
0x4fe1c7c4e92848cdl },
0 },
/* 61 << 240 */
{ { 0xaa18eb262e07383dl,0xb948c35c34e90f3dl,0x95e97f81d3653565l,
0x4a821a2687b5b75dl },
{ 0x87b4d81c892db882l,0xa69e65d689f3bfadl,0xe475f532eb371cacl,
0xd8cc23fa17194d5dl },
0 },
/* 63 << 240 */
{ { 0x3fc0052ad789d484l,0xe8c67aac29324323l,0x133fd07cf54c43d3l,
0xd4a0848fb91d4faal },
{ 0xf683ce065ea5098fl,0xe84348f9887c8a76l,0x38f8c2cf79b224b6l,
0x327e4c534a818cb1l },
0 },
/* 64 << 240 */
{ { 0xb6d92a7f3e5f9f11l,0x9afe153ad6cb3b8el,0x4d1a6dd7ddf800bdl,
0xf6c13cc0caf17e19l },
{ 0x15f6c58e325fc3eel,0x71095400a31dc3b2l,0x168e7c07afa3d3e7l,
0x3f8417a194c7ae2dl },
0 },
/* 65 << 240 */
{ { 0x0c9e9237d5f812bcl,0xdae5b7e9595f02e5l,0x5ec1dece42b1e9a8l,
0x506a6ef8e527a685l },
{ 0xe3049290236af251l,0x6322dd1bf81970acl,0x1459d39c516d5e61l,
0x672f502d9455b694l },
0 },
/* 71 << 240 */
{ { 0xf83788e06b228af2l,0xaafc823911f596fal,0x6d47fa592f0fcb13l,
0x0b7af65f1c99c5d4l },
{ 0xbc4c185dca961e6fl,0xec02b09f158481a4l,0x4bbfd9f31423fdd4l,
0x0ff44a53b619644bl },
0 },
/* 77 << 240 */
{ { 0x23e255a3ea3f59d8l,0x1f4a47a8261ac30bl,0x346bf409c8faf0b3l,
0xd13e73fbc03a226bl },
{ 0x670ddc792fe8a79bl,0x335fa172f1aac412l,0xe2347de1a5ceff20l,
0x66e02c73381130f2l },
0 },
/* 83 << 240 */
{ { 0xa6b874c51db717cdl,0x027d318ab00f160bl,0x578f89f49be791afl,
0x659ef2f01f3b5e9bl },
{ 0xa0c593033835d84cl,0xb71e261fdb6f9a60l,0x65837c7f44b7813fl,
0xea776163ea4bcc96l },
0 },
/* 89 << 240 */
{ { 0x208234118df3f15fl,0xe0514d4694f341acl,0xdc66282d6486d704l,
0xd5fb354ad2548389l },
{ 0xf3e98d72df273295l,0x27ded7fa50cd09fcl,0x4f486af3c5c1c169l,
0xe51044150aa41ba3l },
0 },
/* 95 << 240 */
{ { 0x66b14d296fce0aecl,0x35fe5e60c8915ceal,0x06a023b736c5da39l,
0x0977c9f0404e932fl },
{ 0x1dd6f95db54866del,0xe5ec79359387430cl,0x98dee57b5ef42e67l,
0x1707f01912ed3ad0l },
0 },
/* 101 << 240 */
{ { 0xeb3abdedeec82495l,0x587a696e764a41c7l,0x13fdcce2add1a6a3l,
0x299a0d43286b2162l },
{ 0x2c4e71e18131f1b4l,0x48f0e806ada3d04fl,0x91d2de80c57491b2l,
0x1b1266236cc355cbl },
0 },
/* 107 << 240 */
{ { 0xdc28afe5a6d44444l,0xb5ad8d3cfe0b947bl,0x50c6126c96ce9fb9l,
0x5384a998d1fc7d39l },
{ 0xa43ff8898788f51cl,0x30359593a6bc7b87l,0x3e1691dccc0d019al,
0xda0ef5ad7943abcdl },
0 },
/* 113 << 240 */
{ { 0x5bc58b6f020b5cd7l,0x9098e202e103ff4el,0xc1f1a3d9f6fce7c7l,
0xf9dc32a856090ccel },
{ 0x4c7d2520a9cc3b09l,0x98d47b5dd8c4dfcel,0xdcee788297e689b4l,
0xe5eec71815f982b9l },
0 },
/* 116 << 240 */
{ { 0xff154bb8a1e1538cl,0xb9883276f7dcfae9l,0x1ac0a4d2c1c8cba4l,
0x511a54cc76e6b284l },
{ 0xe2da436f00011f6dl,0x4d357a190f43a8adl,0xf36899c95458655bl,
0xe5f75c768d613ed9l },
0 },
/* 119 << 240 */
{ { 0x15b4af1d93f12ef8l,0x3f4c5868fd032f88l,0x39f67a08f27d86bdl,
0x2f551820da32db6bl },
{ 0x72fe295ac2c16214l,0x39927c381a2cf9afl,0x8dda23d6b1dc1ae7l,
0x1209ff3ed32071d4l },
0 },
/* 125 << 240 */
{ { 0x861fdceb9a3c6c6fl,0x76d7a01386778453l,0xbf8d147cd5e422cbl,
0xd16f532e51772d19l },
{ 0x72025ee2570d02cdl,0xe8e7737be80c7664l,0x81b7d56c334a8d8fl,
0x42477a0ff1b79308l },
0 },
},
{
/* 0 << 248 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 248 */
{ { 0xf306a3c8ee3c76cbl,0x3cf11623d32a1f6el,0xe6d5ab646863e956l,
0x3b8a4cbe5c005c26l },
{ 0xdcd529a59ce6bb27l,0xc4afaa5204d4b16fl,0xb0624a267923798dl,
0x85e56df66b307fabl },
0 },
/* 3 << 248 */
{ { 0x896895959884aaf7l,0xb1959be307b348a6l,0x96250e573c147c87l,
0xae0efb3add0c61f8l },
{ 0xed00745eca8c325el,0x3c911696ecff3f70l,0x73acbc65319ad41dl,
0x7b01a020f0b1c7efl },
0 },
/* 4 << 248 */
{ { 0x9910ba6b23a5d896l,0x1fe19e357fe4364el,0x6e1da8c39a33c677l,
0x15b4488b29fd9fd0l },
{ 0x1f4392541a1f22bfl,0x920a8a70ab8163e8l,0x3fd1b24907e5658el,
0xf2c4f79cb6ec839bl },
0 },
/* 5 << 248 */
{ { 0x262143b5224c08dcl,0x2bbb09b481b50c91l,0xc16ed709aca8c84fl,
0xa6210d9db2850ca8l },
{ 0x6d8df67a09cb54d6l,0x91eef6e0500919a4l,0x90f613810f132857l,
0x9acede47f8d5028bl },
0 },
/* 7 << 248 */
{ { 0x45e21446de673629l,0x57f7aa1e703c2d21l,0xa0e99b7f98c868c7l,
0x4e42f66d8b641676l },
{ 0x602884dc91077896l,0xa0d690cfc2c9885bl,0xfeb4da333b9a5187l,
0x5f789598153c87eel },
0 },
/* 9 << 248 */
{ { 0xb19b1c4fca66eca8l,0xf04a20b55663de54l,0x42a29a33c223b617l,
0x86c68d0d44827e11l },
{ 0x71f90ddeadba1206l,0xeeffb4167a6ceeeal,0x9e302fbac543e8afl,
0xcf07f7471aa77b96l },
0 },
/* 10 << 248 */
{ { 0xcf57fca29849e95bl,0x96e9793ed510053cl,0x89fa443d07d3e75el,
0xfe2bc235e52800a0l },
{ 0x1c208b8c0ac7e740l,0xb5852a49e7222263l,0x217e4005e541e592l,
0xee52747dc960b0e1l },
0 },
/* 11 << 248 */
{ { 0x5fd7cafb475952afl,0x23a6d71954a43337l,0xa83a7523b1617941l,
0x0b7f35d412b37dd4l },
{ 0x81ec51292ae27eafl,0x7ca92fb3318169dfl,0xc01bfd6078d0875al,
0xcc6074e3c99c436el },
0 },
/* 13 << 248 */
{ { 0x4ca6bdebf57912b8l,0x9a17577e98507b5al,0x8ed4ab7759e51dfcl,
0x103b7b2a470f5a36l },
{ 0x0c8545ac12553321l,0xab5861a760482817l,0xf4b5f602b9b856cfl,
0x609955787adf2e5fl },
0 },
/* 15 << 248 */
{ { 0x60ce25b1ee5cb44fl,0xddcc7d182c2d7598l,0x1765a1b301847b5cl,
0xf5d9c3635d0d23b7l },
{ 0x42ff1ba7928b65d0l,0x587ac69d6148e043l,0x3099be0dd320390bl,
0xa7b88dfc4278329fl },
0 },
/* 16 << 248 */
{ { 0x80802dc91ec34f9el,0xd8772d3533810603l,0x3f06d66c530cb4f3l,
0x7be5ed0dc475c129l },
{ 0xcb9e3c1931e82b10l,0xc63d2857c9ff6b4cl,0xb92118c692a1b45el,
0x0aec44147285bbcal },
0 },
/* 17 << 248 */
{ { 0x7685bb9e0ba4e0b7l,0x330a7ebc5e58c29bl,0xbc1d9173e8a3797al,
0x7c506a16ea60f86cl },
{ 0x9defb9248c099445l,0xcf1ddcc0256df210l,0x4844ce293d07e990l,
0x92318e37e2628503l },
0 },
/* 19 << 248 */
{ { 0x61acd597fdf968d7l,0x7321a8b26598c381l,0xcb86a2809f448a0cl,
0x38534a01855df66al },
{ 0xc119ec141e29037fl,0xe23c20ad0b42ba67l,0xefb1c4e033fb4f22l,
0xf088358f445a5032l },
0 },
/* 21 << 248 */
{ { 0x2d73f5d1b8475744l,0xcc297e0a9d399b06l,0xa8c61d4038d3df06l,
0xacc6e8651a2d27a0l },
{ 0x63dd6f6230153bf2l,0x6b23ad7bd73b83b7l,0x25382bf767ff7dcdl,
0x7e268c8fcf7ce2d1l },
0 },
/* 23 << 248 */
{ { 0x4b9161c3cb2ebef1l,0x6009716b669ed801l,0x97c65219aacefe44l,
0xde13597d71aae4b5l },
{ 0x3a077a816141d651l,0xe1b4e80129f876eal,0x729aed6d5c00c96cl,
0x0c6f404374cc645el },
0 },
/* 25 << 248 */
{ { 0x22c51812df5a66e1l,0x1c8069c9ae7dedeal,0xcff9d86f0eea5180l,
0x676dbd6f44235ddal },
{ 0xa53f01383db1ad42l,0xd079e571bcf19029l,0x1e37b9ecfab0cf82l,
0x93ae35ed4844e9c4l },
0 },
/* 27 << 248 */
{ { 0xdaee55a543756358l,0x0ace18d41b2d3f89l,0x3391fa36824dd7d4l,
0x7b9963d1770e5f3fl },
{ 0xc1fb9a78c94f724dl,0x94ff86fe76c4da6bl,0xb5d928c64170609bl,
0xc9372becfb015a9fl },
0 },
/* 28 << 248 */
{ { 0x9c34b650e16e05e9l,0x965a774094e74640l,0xa3fd22fbcea3f029l,
0x1eb6a9688f95277cl },
{ 0x2520a63d7bad84f6l,0xad917201f58f2feel,0xea92c1669b840d48l,
0x12109c4aacef5cbdl },
0 },
/* 29 << 248 */
{ { 0xd85850d0d407a252l,0x6fa3b14de63909d4l,0x2ff9f6593e0fba69l,
0x7f9fd2a2d1b2cd0bl },
{ 0x611233d745ad896al,0xfe4211648df850f9l,0x7808832399e32983l,
0x4b040859dee6741dl },
0 },
/* 31 << 248 */
{ { 0x7dd2afd456e1ed5cl,0xd48429ec41ba4992l,0x97a02188968bab27l,
0x09ecf813e63c4168l },
{ 0xf4ac65e77288b10cl,0x10630ab2afac7410l,0x4e3e59c3bb049e56l,
0x25972fff40fea0b1l },
0 },
/* 33 << 248 */
{ { 0xfd8363da98365c18l,0x8aa57b1a8d47bf91l,0x423dce57695f4dd6l,
0xfccf54d4cc17f034l },
{ 0x8fdba27c3610ea51l,0xcc0a06d654306b06l,0xb97a121c389b9dfdl,
0x7dbb90eb1ed0ca42l },
0 },
/* 34 << 248 */
{ { 0xd32d7cec0094e84cl,0x862ae25e2ece8f72l,0x8644ef1cdfceb8abl,
0x68a9969c8e225628l },
{ 0xdf209e27b3117876l,0x308a6e1882ba242bl,0xcbd09a659bf0cdb6l,
0x79f2826cc85b9705l },
0 },
/* 35 << 248 */
{ { 0x3b36b6bf8f011496l,0xea6acc1a9bcf6ef8l,0x6db132263b101f12l,
0x4fc4e35e3b7585c3l },
{ 0x641de27556eb64c6l,0x9b2834d3f3b08519l,0xebb76a2ba1f44b40l,
0x1b545ccd3cd31677l },
0 },
/* 36 << 248 */
{ { 0xab293027aad991c1l,0x598d0bf8849be4b7l,0x8c94a21ab972da90l,
0xada4cfdd7ecfa840l },
{ 0x93d4b9c0fbcec63al,0x7ca617a203219a34l,0x900424eb6a652a55l,
0xaf9346e9eb8562e0l },
0 },
/* 37 << 248 */
{ { 0x9681a73d2d8bc904l,0x8b5f9b317b1553bel,0xfb03b874f6bc852fl,
0x8e658fb8cbbec8b0l },
{ 0x9b2ff17bb9e9f9d1l,0xf46e9bf3e8679854l,0x7fbb1323618ed3aal,
0x064a1c5d714ebc3dl },
0 },
/* 39 << 248 */
{ { 0xac0bdfc39f0e69dcl,0x71957386ae12f132l,0xa263ef2e6aa90b5bl,
0xa94b152390d42976l },
{ 0xfb2d17741bcdbf7bl,0xba77b77c3a04f72fl,0xa6818ed8ec3e25a1l,
0x2e0e01743733e251l },
0 },
/* 40 << 248 */
{ { 0xc3e04d7902381461l,0xb1643ab5911bc478l,0xc92becfa390b3ef2l,
0x54476778acd2f1b6l },
{ 0x8daa0c4d66bf3aafl,0x2bc1287b2c21c65al,0xee182910b5a13ac3l,
0xbb04730090b0790al },
0 },
/* 41 << 248 */
{ { 0x8bdd6f35a8540489l,0x788c03e5ee390d4el,0x203323c18f653017l,
0x39953308c4bc0094l },
{ 0x6ee0857118308d0bl,0x70e9f90b450b0002l,0x191662aa8139f145l,
0xd7c5415b62d71124l },
0 },
/* 43 << 248 */
{ { 0x41b37d72b927231cl,0xca17b5429e4de13al,0x7bc03469cded2ce3l,
0x961b0ecb4f4560f9l },
{ 0x7c5bd41b43d31fa1l,0x3ed047f643f44dc3l,0x5b02083efe1a4d14l,
0xcc2c66ac18b330bcl },
0 },
/* 44 << 248 */
{ { 0x83766947d17d4e0bl,0xc5772beefdc3a47bl,0x765a50db1a6fd0ffl,
0x17f904ba45b0995el },
{ 0xcee643832883487el,0xf56db7f3c270aaedl,0x6738d94f46cb1fd9l,
0xc8fa426a142fd4d5l },
0 },
/* 45 << 248 */
{ { 0xc85bef5b5a78efcel,0xaf380c6b0580e41el,0x6c093256a43b8d9bl,
0xed9d07bbea670933l },
{ 0xfdb9a295f1682c6el,0x4cc29a63532b6bb7l,0x21a918f9f8e42dd0l,
0x9ac935ce0edacca0l },
0 },
/* 46 << 248 */
{ { 0xbfe48a8ff43daf9dl,0xd7799b31b313c052l,0x46d480d77119c60el,
0x5090d91f0b80bcb9l },
{ 0xc94c4c1e873bd7bfl,0x16e69b4f9915aa0al,0x769be02bb1d5928cl,
0x3fdaf62162e1d85al },
0 },
/* 47 << 248 */
{ { 0x03497a57371c1b5cl,0x11e4c0b3552ab6abl,0xf857061f0a169ee7l,
0xc21c6c43e6d1bc66l },
{ 0x706283a82832be7al,0xd35b143299aba62cl,0x7f4da83de9aef62dl,
0x2b7e5fc8723fa4e5l },
0 },
/* 48 << 248 */
{ { 0xae485bb72b724759l,0x945353e1b2d4c63al,0x82159d07de7d6f2cl,
0x389caef34ec5b109l },
{ 0x4a8ebb53db65ef14l,0x2dc2cb7edd99de43l,0x816fa3ed83f2405fl,
0x73429bb9c14208a3l },
0 },
/* 49 << 248 */
{ { 0xc086e737eb4cfa54l,0x9400e1ad3c44aad9l,0x210bba94336959b4l,
0x08621a809106f0cal },
{ 0x2ae66096c510ee9cl,0x2ba21617fc76a895l,0xc0707f8b0c186f1el,
0x1fe170a3ed0bfe25l },
0 },
/* 51 << 248 */
{ { 0x3780fe2084759c5cl,0x716ec626b7050aa7l,0x6a43fb8b84b63bd1l,
0xb01098a039bc449fl },
{ 0x96b3ff8ebb7daa4dl,0x2d146882654a7f01l,0x2500f701dcae6143l,
0xc13d51d01626fd3bl },
0 },
/* 52 << 248 */
{ { 0x08ed8febd56daf06l,0x8d98277b4a837f69l,0x9947c636a9b6e05al,
0x58c8a77ac0d58abdl },
{ 0xf45496a45f121e4fl,0x16cd67c71076d3d3l,0xecbd1958e3fb0c5dl,
0xfbe185ec38e1eb47l },
0 },
/* 53 << 248 */
{ { 0x65b067eb740216e3l,0x1e19a71479db8760l,0x8d30dca18878de5al,
0x627d03e8aa47c005l },
{ 0x096d58c0d2536c96l,0x232e6a4d69b12c2al,0x850eb8c0e7044bcel,
0xd9cf923bef2ee9a1l },
0 },
/* 55 << 248 */
{ { 0x8b301094c8eaee90l,0x9a96950b8330928fl,0x472ba105faccc3bal,
0x00f8620e9153172al },
{ 0x019b8164303fcdf5l,0x614d5c3c41fb4c73l,0x632d98f2c5992f89l,
0xfbeb29d790e2dea5l },
0 },
/* 57 << 248 */
{ { 0xefd48b577f91d6e0l,0x8575605595bcf5d4l,0x7677b4a7bb9d891bl,
0xdc9931e9685912c9l },
{ 0x69bca306f31a07c8l,0x3dd729534962a7f0l,0xdcea49cc9d366c2al,
0xce664ba7dc79a57dl },
0 },
/* 59 << 248 */
{ { 0x7842d547013ec3b5l,0xa2785ceb433cf990l,0x9d667e5f700ab14al,
0x4b46f362a0f46d55l },
{ 0x152c0e80cc7a3487l,0x7f3a88cef86f5e68l,0x6f950a73f1b2a75fl,
0x9be5b1aa51d24f3bl },
0 },
/* 60 << 248 */
{ { 0xaea68626dc4ad4f4l,0x5dc516824ddbc0b6l,0xa76697bd602e9065l,
0xbeeb3ea58c37888el },
{ 0x1ec4a2f214569113l,0xe48b820ca35f4484l,0x9fb560949ae44df2l,
0x6ca1346292cc09fdl },
0 },
/* 61 << 248 */
{ { 0x887e0b87bcdc3a36l,0x6b0d617d503dee65l,0x96bda1f6cebcb893l,
0xdc0dd17341e20b3el },
{ 0x812fbacfa6657c11l,0x32492fcbc94a6f4bl,0x854a0bcb6a772123l,
0x1ed573f65d463f31l },
0 },
/* 63 << 248 */
{ { 0x22c7ef7bd022cc4dl,0xeec383d61e63b4bcl,0x52e0aaa06502b46fl,
0x9224187ded5e41bfl },
{ 0x3a01f53dd26faf1cl,0x9bc4ee2e4e591d10l,0x10b7a98eea7e4c88l,
0xe521c150e2c1beccl },
0 },
/* 64 << 248 */
{ { 0xb618d590b01e6e27l,0x047e2ccde180b2dcl,0xd1b299b504aea4a9l,
0x412c9e1e9fa403a4l },
{ 0x88d28a3679407552l,0x49c50136f332b8e3l,0x3a1b6fcce668de19l,
0x178851bc75122b97l },
0 },
/* 65 << 248 */
{ { 0x26f9b9322ed53a71l,0x0bac7348c72ef2e0l,0x7e96001da5c6faf1l,
0x5d43f76dea00eb2dl },
{ 0x1327370f44f1c478l,0x1c83a9ac6bb964c8l,0xa3a9769f76ffbd25l,
0xdf045fb6b04f1bddl },
0 },
/* 71 << 248 */
{ { 0x4283898d556b975el,0x6e2301ffe3880361l,0xc6d3b2bbe9198077l,
0xc4799578d21cac02l },
{ 0x11448ff8f784eb7cl,0xb775973fbb81898dl,0x4e51f061519c76b9l,
0xaba1f3ef3cad0393l },
0 },
/* 77 << 248 */
{ { 0x59d60c1c9b339830l,0x5af60a44ac32746dl,0x5ac006bc9dea8d80l,
0x4a2a56d97f2b1180l },
{ 0x2032845a46946fc4l,0xe25b911226a3b503l,0xfed89db9a28827d3l,
0xdd2d7e90c6b74593l },
0 },
/* 83 << 248 */
{ { 0x9b047a26cda38ecfl,0x6889284f5f6cb442l,0x4d128bcb14753820l,
0x8f9937c160eedd78l },
{ 0xe333bad751ab9127l,0xd31b01c67ace3b19l,0x0732de39d7c0b4bel,
0xad04fa4c649e2b9bl },
0 },
/* 89 << 248 */
{ { 0x02e042689d1495bal,0x95dca5a85591b5f8l,0xb10488d856f46c71l,
0x97829baf3590000al },
{ 0xaeda5cb378c9e78al,0x3615873a7ba1c71cl,0x7c9f9f4d4333aa12l,
0x893fab42cea8e6d3l },
0 },
/* 95 << 248 */
{ { 0x9eb09fff69aaa09fl,0xf36678a926731322l,0x8be61ee1cafcabafl,
0x77a172f558ddb763l },
{ 0x7e09dfc66471130el,0x7f8909791039771el,0x0e44071d37800b9bl,
0x09123d27fe762d10l },
0 },
/* 101 << 248 */
{ { 0xffd455a7a1b7fdd6l,0xb6162cb4dabdffael,0xf859519ec89c0e56l,
0x07406c1b421f2846l },
{ 0x42db24ed9e96ddbbl,0x03bcae092dc5da85l,0x75099cd217aa7493l,
0x8cd1aa4266b8740dl },
0 },
/* 107 << 248 */
{ { 0xe94333d5dde7fec3l,0x894fd673745a9be3l,0xaf3d97c725683748l,
0xeaa469a2c9ec165fl },
{ 0xc9a18decdc7abd3bl,0xf059008082717b02l,0x9816374a4fdf4300l,
0x449d3eb74fb5a6cel },
0 },
/* 113 << 248 */
{ { 0x7fc983ebd28001a6l,0xeabf5276dae74b6bl,0x50adb67d742ed0a5l,
0x1d2ad363650e1446l },
{ 0x5a564253d122f5d0l,0x7e5aefc7e30471del,0xdc64cbb3e5dc2f2cl,
0xe645b9fa9437be4el },
0 },
/* 116 << 248 */
{ { 0x0f58cec54e27d357l,0x08dcf2b70004539el,0xb1ead64104f96709l,
0x350fed185a914c72l },
{ 0x44f43523c5147854l,0x45f8b46f46d04ac7l,0x62c306869a449d51l,
0xaacc0f0d9e66d9a3l },
0 },
/* 119 << 248 */
{ { 0x94cb62e5bdd61b63l,0xe6ce5b5104a0ec57l,0x0461cb95f0bda8a4l,
0xca2d6220cbadfe8fl },
{ 0x6c19bdf03c1ad65el,0x774a49bae04239d5l,0xf78cb7404a2fd59dl,
0xaebf90ed66a09130l },
0 },
/* 125 << 248 */
{ { 0x10e4074857cc8d54l,0x29985831918e3cf9l,0x3d87def9f2e344eel,
0x8899992c68977860l },
{ 0xbdc8d73b210f3c50l,0x98aa042fa9857f46l,0x76a34daf6c71357fl,
0x086289d3200bcb6dl },
0 },
},
{
/* 0 << 256 */
{ { 0x00, 0x00, 0x00, 0x00 },
{ 0x00, 0x00, 0x00, 0x00 },
1 },
/* 1 << 256 */
{ { 0xb4e370af3aeac968l,0xe4f7fee9c4b63266l,0xb4acd4c2e3ac5664l,
0xf8910bd2ceb38cbfl },
{ 0x1c3ae50cc9c0726el,0x15309569d97b40bfl,0x70884b7ffd5a5a1bl,
0x3890896aef8314cdl },
0 },
/* 3 << 256 */
{ { 0x996884f5903fa271l,0xe6da0fd2b9da921el,0xa6f2f2695db01e54l,
0x1ee3e9bd6876214el },
{ 0xa26e181ce27a9497l,0x36d254e48e215e04l,0x42f32a6c252cabcal,
0x9948148780b57614l },
0 },
/* 4 << 256 */
{ { 0xab41b43a43228d83l,0x24ae1c304ad63f99l,0x8e525f1a46a51229l,
0x14af860fcd26d2b4l },
{ 0xd6baef613f714aa1l,0xf51865adeb78795el,0xd3e21fcee6a9d694l,
0x82ceb1dd8a37b527l },
0 },
/* 5 << 256 */
{ { 0x4a665bfd2f9fd51al,0x7f2f1fe2481b97f7l,0xcad05d69ad36ce50l,
0x314fc2a4844f4dedl },
{ 0xd5593d8cb55fc5c6l,0xe3510ce8bfb1e23dl,0xf9b7be6937453ccel,
0xd3541b7969fae631l },
0 },
/* 7 << 256 */
{ { 0x711b8a4176a9f05dl,0x06ca4e4b9011d488l,0x543bc62ba248a65el,
0x017535ffc9290894l },
{ 0x840b84ce406851d7l,0xafa3acdf90e960b4l,0xac3394af7128fd34l,
0x54eb4d5b2ac0f92cl },
0 },
/* 9 << 256 */
{ { 0x3549a0f14df48fecl,0x6ae7b1eec239f83al,0x001dcf253eb90ff3l,
0x02ff0f02581e90edl },
{ 0x72921d8ca103dcefl,0x2c513c3c5876293el,0xc07064ca6b68875el,
0x7198d44653b9537cl },
0 },
/* 10 << 256 */
{ { 0x58349b77685e089bl,0x1c678441219b7b8cl,0xba8da91f61e2e20dl,
0xf9c50b8c309fd4e6l },
{ 0x99b0164996d0ef64l,0xac334ded60cdb63al,0x6b9ada19fb0bce4fl,
0x39dc9375c7896377l },
0 },
/* 11 << 256 */
{ { 0x068dda8b7e1bc126l,0x77c7c58176243a21l,0xcc8ba55c875f9dael,
0xdde7afe2ce469f95l },
{ 0xde2a15f5e9523b85l,0x447512c6d85674ael,0x5691f89e12c6c20cl,
0xd64ef40e0fae4513l },
0 },
/* 13 << 256 */
{ { 0x10db2041c4d9eb40l,0x420eccb724f03f8al,0x64470fd17d29080el,
0xf66c5b4416e52414l },
{ 0xa32cc70e4ca94031l,0xa67931592c8401bal,0x34f2dc29abfcc58dl,
0x6f340f9a07325d7dl },
0 },
/* 15 << 256 */
{ { 0xf55d446b060a52bbl,0x2f33cb9f02939f24l,0x0f27a01bc8953718l,
0x362882917fcd3932l },
{ 0x7485613488ed4436l,0xcfe69e27195f089el,0xd6ab040a8ff10bd8l,
0x9741c5472e4a1623l },
0 },
/* 16 << 256 */
{ { 0xc52d8d8b6d55d6a4l,0xc4130fb3be58e8f9l,0x5f55c345e1275627l,
0xb881a03c117042d3l },
{ 0x00a970a53238d301l,0x40d7cf2412a2c4f1l,0xace4a2f5d770ea74l,
0x36a2e587e96940b2l },
0 },
/* 17 << 256 */
{ { 0x84793d9fef12d4c8l,0x04b89b152d8a163cl,0x0fdb566fb4a87740l,
0xf7e6e5cf9e595680l },
{ 0xbcb973e41c5cd74el,0xafcb439fe4ed49d8l,0xd5c0820aebbae8eel,
0x23483d836f56e2a2l },
0 },
/* 19 << 256 */
{ { 0x91f9b8be5e8ad115l,0xf1fd6a2e225db496l,0xf362d2cf4a444085l,
0x033d9201eea043ebl },
{ 0x1e50c0989951a150l,0x4814fca5cfcf1f94l,0xaf3e8ef41bf82de5l,
0xba0e2991038cff53l },
0 },
/* 21 << 256 */
{ { 0x904a41ae5fc373fal,0x235556d61a6a3fc4l,0xe44eb3ea36eeb570l,
0xa4e1b34a26ba5ca6l },
{ 0x210e7c9131180257l,0x2c28669622158b0cl,0xc78b69c783ddd341l,
0xfc05941b294e1750l },
0 },
/* 23 << 256 */
{ { 0x70666f51fc167dedl,0x47e9e289fe75b8d1l,0x8a5f59739605a03el,
0x19876a58dd579094l },
{ 0x69a5c8cca964e426l,0xed74a652ccf20306l,0x5c93ae3cf06d31d5l,
0x51922fa2127a8a12l },
0 },
/* 25 << 256 */
{ { 0xa18e26f99e3d509el,0xbc296dd2c10814fal,0x5dadd6eeaa24e147l,
0xdba2121a8340f12el },
{ 0xd348e7f3e245ca21l,0x1e45a42978e3eb5bl,0x252bf89c169677bbl,
0xfb33a2564021ac55l },
0 },
/* 27 << 256 */
{ { 0x30dc46586e7d72b8l,0x38df46fb0d81c3d6l,0x901bab6e10e84162l,
0x25d7303ff7932801l },
{ 0xe781d5f37500be42l,0x9a7104c3380ff208l,0xfa801181652121a1l,
0xef89f4f18d3bed43l },
0 },
/* 28 << 256 */
{ { 0xbe4ae5683594917al,0xef7c1c47a04bf81el,0xa1dc3612046d91a0l,
0x3eee37affb11b338l },
{ 0x7e90278fd03d8f51l,0x3045a6da4fa183c6l,0xb39e573391cd16a9l,
0xc748a504e54e9411l },
0 },
/* 29 << 256 */
{ { 0x07804331a1c6ec56l,0x25358e795b347123l,0x1ab9b39acf9432a4l,
0x9628501d0a7881cel },
{ 0x749d58988a46d98el,0x01ea43346a17c321l,0xe2b197f9b1f9160fl,
0x2052c7c07815f2a2l },
0 },
/* 31 << 256 */
{ { 0xaa691bfbc57a1a6dl,0x06cae127d737d525l,0x5be04b2f963c7c98l,
0x936b1f5bfc00bc4al },
{ 0x3fed4ac77eda6a34l,0xba6ca7aa2500a438l,0x1e979fa6786c2a75l,
0xa3db26bec13f37d4l },
0 },
/* 33 << 256 */
{ { 0x20afae333d7006d1l,0xdcbca6fbbda467d1l,0x2714b3827df4006cl,
0x9abc0510c8e94549l },
{ 0x5b30a6d464c14915l,0xba91d0c35752b44fl,0x7ad9b19bbb389f1fl,
0xe4c7aa04ef7c6e13l },
0 },
/* 34 << 256 */
{ { 0x1e24a3f23d12e2b6l,0xf99df403febd6db3l,0x61e580a6b0c8e12fl,
0x819341b7c2bfe085l },
{ 0xd53002d640828921l,0x31e1eb65cea010efl,0xc48d0cfe85b3279fl,
0xb90de69089f35fa5l },
0 },
/* 35 << 256 */
{ { 0xa3f6fd3c88ed748fl,0x6d72613af48127b9l,0xe85ed703d1e6f7e5l,
0xbb563db449636f40l },
{ 0x23bae3c9708497bal,0x89dbff163aa65cf4l,0x70861847e6c0850al,
0x5ef19d5d48b2e90cl },
0 },
/* 36 << 256 */
{ { 0xab6a1e13107f7bacl,0x83a8bc57972091f5l,0x3c65b454f6dcba41l,
0xd7606ff96abc431dl },
{ 0xa3af9c189bd09971l,0x6ddd3bbf276bad63l,0xd2aba9beab4f0816l,
0x8f13063c151581edl },
0 },
/* 37 << 256 */
{ { 0xf9c02364f5761b15l,0x3cfa250afd478139l,0x67d51e7416e26191l,
0x0281bbf65eda396cl },
{ 0xbd38d4d70d1f4510l,0x2032a930edff593el,0x0ab74a0cf2ea4ad7l,
0xb95aa9c3302498d6l },
0 },
/* 39 << 256 */
{ { 0x2995495dd7da3c7cl,0x28d579d0a0bb703el,0xabec6afec8288837l,
0x93c34dfd05ab989bl },
{ 0xcc94f05dde5ea3dfl,0xc3e3d4ef90f436e6l,0x32b3dee1cf59dc4el,
0x5eab01635447d9d9l },
0 },
/* 40 << 256 */
{ { 0xd31c5e8e2c23464el,0x5bcc382f50cfbde7l,0x6cee3d8da93c3d9bl,
0xbee2948909ee62acl },
{ 0x4848d59c10742b84l,0x2486796fe35e9c84l,0x1a1d9570cd8f391al,
0x839aa0913eedb743l },
0 },
/* 41 << 256 */
{ { 0xae02a7ce0f83f369l,0x3b67c56097994835l,0x715def441ae4bbeal,
0x11e764ee59f6b9eel },
{ 0x70c775051c962c3al,0x42811507d937a258l,0x06dbdceed03e6e86l,
0x39a3a7ed48cae79el },
0 },
/* 43 << 256 */
{ { 0xa32e729fb220eef8l,0x12d876baf37ac5d7l,0x9376ab45105a7f34l,
0xb422331a4deb7275l },
{ 0x6ea07fb7686dea5el,0xba67ed3e1d8e32c9l,0x5ae52632bbc6bb9cl,
0xdca55b86d1397575l },
0 },
/* 44 << 256 */
{ { 0xd9183f74378200b1l,0xe5ea1645762f5605l,0x78b42e2f7bd6290fl,
0xa0bdfccc07fa0899l },
{ 0x2f92ea52dacda629l,0x810b4e6c48de27e2l,0x013d8587d9d1250dl,
0xc153d519dd5141d5l },
0 },
/* 45 << 256 */
{ { 0x8f1f6cb5b8f1d719l,0xa9abc27b04e15a4el,0xc0d944a92ad42296l,
0x69ecc877f3d2b0e5l },
{ 0xec60dbea16a5581al,0x2a0ead5fb85130d6l,0x7b3d2ebb6fddac23l,
0x06213269ac448663l },
0 },
/* 46 << 256 */
{ { 0xe1074008ac11e180l,0xdff3339c14b8f830l,0x136e22be636504f3l,
0xb07ae98aa09c5c4cl },
{ 0x9b0a0517192168e9l,0x39e09fac86ad0865l,0x24f90705adb08d41l,
0x9c699cc759d3be24l },
0 },
/* 47 << 256 */
{ { 0xd9e16551907e36b0l,0x57f24b6caf91cb5al,0xbdb7dfdb062edae4l,
0x99e3bffe4b85f424l },
{ 0x250774f4b2961ba7l,0xe7c0f2386d993c51l,0xcd0aae29f559b4bdl,
0x3b12893a09a6859bl },
0 },
/* 48 << 256 */
{ { 0xac177eb985ae12c3l,0x8e6cb5cc6cf76537l,0x134abb19f265f9e3l,
0xc37309b71ba3f55dl },
{ 0x570833b4392d564bl,0xaa273a27d8c22f00l,0x9ba6b6276006773al,
0x2156c94f0a16c092l },
0 },
/* 49 << 256 */
{ { 0x2be0436b408e1258l,0xb179a2e34f47f121l,0x140b948fa42d3cfcl,
0x96649c6700d2b4e6l },
{ 0x2bf934c7d08a4b34l,0x371c770136b472ddl,0x36297876e06adc73l,
0x59e0d8251c3e6558l },
0 },
/* 51 << 256 */
{ { 0x9368cfd304a8bc81l,0x145249d4c49e58c7l,0x8c7ac1891392be01l,
0x58cbcb5fbc7b0903l },
{ 0x502218a1a0377b0al,0x5c17eb8afb625836l,0x845c09ef349f4d26l,
0x15fdeb2554ddce85l },
0 },
/* 52 << 256 */
{ { 0xf773535a64e8344dl,0xb8486a33d0dbabe6l,0x43c2df99b578862dl,
0xcead29a11a39820el },
{ 0x3e5466fe63134d63l,0xc37ea88fdf43a104l,0x3b34ac34bbaacb5al,
0x8281c240bc20be5al },
0 },
/* 53 << 256 */
{ { 0x55113d5e0f8dec77l,0xdfe59f251d7e1543l,0x3b2837e0a63a849al,
0xdfbdb8b67a5691afl },
{ 0x8dd6faf0bd4cf444l,0x28b2bdfaab128b6cl,0x44af3ee24b1098ebl,
0xbbf328ebe50b2d02l },
0 },
/* 55 << 256 */
{ { 0xf231b1f4e4e6151al,0x6ac7130413258c6al,0x6f9cb1c1a09b9f86l,
0xbfc9291ee52ed880l },
{ 0x2a7d8230bea258a2l,0xd52a0da6baf386acl,0x5166764b3af00b7el,
0x84792b043c985be2l },
0 },
/* 57 << 256 */
{ { 0x914ca588a906d9e4l,0xb4e4e86abc27a876l,0x97e6ed27724324f2l,
0xda7e9aa5c0b87d2cl },
{ 0xafccbe6b33a56f84l,0x69e8fd4ac892d90al,0xb47512910bb5457fl,
0xad65e4d05cb136fal },
0 },
/* 59 << 256 */
{ { 0xb09974d2fd679a1bl,0x17abc2a54578faf0l,0xe7da92828c830388l,
0x7e455d8b0edf6146l },
{ 0xdff3b2f0c324bdb6l,0xe7a1718769f4a4f9l,0xfb4e0b3129c500a4l,
0x1ed50799a09c5a07l },
0 },
/* 60 << 256 */
{ { 0x6b669496c679d9f9l,0x3b741f36e78f0830l,0xf99d4857eb3f9e53l,
0x41be594276f7d4ael },
{ 0x75f44d57c09a112bl,0xa5139fd68475eeb7l,0xa4560cd5c6bc9df6l,
0x8ce2c4cf50845434l },
0 },
/* 61 << 256 */
{ { 0x96b515c32b3cb0a6l,0x65836de3930d5344l,0xfb032d5b00e6d403l,
0x2648301843c93bd1l },
{ 0xfc4525dd4b572363l,0x12b7923e7b28ab5cl,0xf376b633e22ac5e6l,
0xd6ff6582e30b4707l },
0 },
/* 63 << 256 */
{ { 0x8bdce75c83b09e07l,0x64228b19227717c4l,0xeae8f8a2dc6a1f02l,
0x1081031be72f3b6dl },
{ 0xba0f876072c3f736l,0xde38a0c5246a28adl,0x0b116fe08596c412l,
0xb9e37be3fa135d11l },
0 },
/* 64 << 256 */
{ { 0x09800dc1b48d4168l,0xa740b282bfee87a2l,0x80c6b75dc94a547al,
0x8cb622f0099c1985l },
{ 0xe6c789631467e05dl,0x027b658822fd3064l,0xe14735e2c2fdb68cl,
0xfd2869947d853158l },
0 },
/* 65 << 256 */
{ { 0x301916a5bbd7caf1l,0xef563fda4e2076c2l,0xccbc56088467f279l,
0xd7de3088b8d0f1bfl },
{ 0x3d9adcce8586910dl,0x3fa3b8b9d775e0e9l,0x4b7a4a1d88136503l,
0xc748656de4994fcel },
0 },
/* 71 << 256 */
{ { 0x18cc605c2d9f8646l,0x3764f1c29e441b64l,0xb0ea7f7fc4b64ee3l,
0xb5c22d0c042f8678l },
{ 0x3761f7f89b3057fdl,0xc85b8de64a207ce4l,0x11da715bc5c04cf7l,
0x0cb1fa77c8e99c1fl },
0 },
/* 77 << 256 */
{ { 0x35f9cfc8045dab4el,0x08a65c6771a7d720l,0xf076767b8eef1351l,
0x5351dbff8638fbe5l },
{ 0x5aead6f7772ad54cl,0x5f6b441fafe93e69l,0xb7b83d1aeeb876b5l,
0xbe1ba4a7cdc094d9l },
0 },
/* 83 << 256 */
{ { 0x005d8f04ec0377bal,0x036b8e1ace58f05dl,0xdd6ffc6f1b28cf58l,
0xc3d95a58e206189fl },
{ 0xcb2873c1f52e8b8cl,0xcffdb18d80142af1l,0x7cf88eb64c77ed78l,
0xb3a3141981ef2c12l },
0 },
/* 89 << 256 */
{ { 0xbb17e6f957c175b1l,0xf33abc63260a6f6dl,0x9435f2de620ddd6bl,
0x90bdde59ff3e99eal },
{ 0x3d7875e0567b520fl,0xdd6954aa813b4978l,0x1af3dc24de7b631cl,
0x82ddcd08934d3c97l },
0 },
/* 95 << 256 */
{ { 0x7a9d60affc5ce598l,0xc6f507597c37abfdl,0xaa1b32f3a79355d0l,
0xac581b94d7e4fcf3l },
{ 0x2669cefd139f6466l,0x560a98bb26f97570l,0x32e1c1db2837b908l,
0x7823d7922d252781l },
0 },
/* 101 << 256 */
{ { 0xea018b4cdedf9af0l,0x4b64c0a380c1d2f9l,0x527a0b1c36992c44l,
0x72a2408142b7adffl },
{ 0x0023d10f97a502eel,0xc0f9ed067b401ac4l,0xabd1bd03d6d3b516l,
0xc320e3e478c5d0bel },
0 },
/* 107 << 256 */
{ { 0x9f5d2a6a37dd009cl,0x88c0f42ac2c3cbacl,0x3155636977552a1el,
0xe78ec89d02f8098fl },
{ 0x276c2ad71b6eeff9l,0xf4c49a28f7f91856l,0x698a2368dc795124l,
0x5502810de92a6c0fl },
0 },
/* 113 << 256 */
{ { 0x82a5042e9f5e5192l,0x64da65fac0965a88l,0xf4c80dd56668399el,
0x635323757e33c233l },
{ 0x5e5339b1a0048616l,0x4a17b1931c91741fl,0x65fdc7c213dcf3d0l,
0x230181426d10c410l },
0 },
/* 116 << 256 */
{ { 0x090a04220f46c635l,0xc7eac842a04de3f5l,0x45b69d4c8990d4b2l,
0x032aeb50b8e0cdc6l },
{ 0x02ce332a4ee3f307l,0x3c80c1545043980fl,0xc774838bcbd5287cl,
0x052661074a37d0ael },
0 },
/* 119 << 256 */
{ { 0xc401b9c0f4d70fbfl,0xf82bbfde98ee47fel,0x94965118c84d91afl,
0xdd9a67c4d3b6ad1dl },
{ 0x85c9cf1eb66a3ad4l,0x05580a0fbf5f514cl,0xf3ef0fd00218536el,
0x1dc2cf2bd14a7ca9l },
0 },
/* 125 << 256 */
{ { 0x18c83e337c1e24d4l,0x30911165563657c6l,0xf9be1af679e53083l,
0x9b058059637753cel },
{ 0x6a37fa24e54522b9l,0xc11d38b426dbf4c4l,0xbc6738655ebd4d9al,
0x2b40e9427fd4e2ecl },
0 },
},
};
/* Structure used to describe recoding of scalar multiplication. */
typedef struct ecc_recode_sum {
/* Index into pre-computation table. */
uint8_t i;
/* Multiplier to add point into. */
uint8_t mul;
/* Use the negative of the point. */
uint8_t neg;
} ecc_recode_sum;
/* The index into pre-computation table to use. */
static uint8_t recode_index_4_8[258] = {
0, 1, 1, 1, 3, 4, 2, 5, 3, 2, 4, 8, 3, 9, 5, 4,
11, 12, 6, 13, 7, 5, 8, 15, 55, 16, 9, 6, 18, 19, 7, 20,
11, 8, 12, 23, 24, 25, 13, 9, 27, 28, 14, 29, 30, 10, 15, 33,
11, 35, 16, 12, 37, 38, 17, 39, 18, 13, 19, 41, 42, 43, 20, 14,
45, 46, 21, 44, 22, 15, 23, 47, 24, 43, 25, 16, 42, 48, 26, 41,
27, 17, 28, 49, 18, 40, 29, 19, 30, 50, 31, 39, 32, 20, 33, 51,
34, 38, 35, 21, 37, 52, 22, 36, 37, 23, 38, 53, 24, 35, 39, 25,
34, 54, 40, 33, 55, 26, 32, 56, 27, 31, 43, 28, 30, 57, 44, 29,
45, 29, 44, 57, 30, 28, 43, 31, 27, 56, 32, 26, 55, 33, 40, 54,
34, 25, 39, 35, 24, 53, 38, 23, 37, 36, 22, 52, 37, 21, 35, 38,
34, 51, 33, 20, 32, 39, 31, 50, 30, 19, 29, 40, 18, 49, 28, 17,
27, 41, 26, 48, 42, 16, 25, 43, 24, 47, 23, 15, 22, 44, 21, 46,
45, 14, 20, 43, 42, 41, 19, 13, 18, 39, 17, 38, 37, 12, 16, 35,
11, 33, 15, 10, 30, 29, 14, 28, 27, 9, 13, 25, 24, 23, 12, 8,
11, 20, 7, 19, 18, 6, 9, 16, 55, 15, 8, 5, 7, 13, 6, 12,
11, 4, 5, 9, 3, 8, 4, 2, 3, 5, 2, 4, 3, 1, 1, 1,
0, 1,
};
/* Multiple to add point into. */
static uint8_t recode_mul_4_8[258] = {
0, 1, 2, 3, 1, 1, 2, 1, 2, 3, 2, 1, 3, 1, 2, 3,
1, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 1, 1, 3, 1,
2, 3, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 3, 2, 1,
3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 2, 1, 1, 1, 2, 3,
1, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 3, 1, 2, 3,
2, 3, 2, 1, 3, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 1,
2, 3, 2, 3, 3, 1, 3, 3, 2, 3, 2, 1, 3, 3, 2, 3,
3, 1, 2, 3, 1, 3, 3, 1, 3, 3, 2, 3, 3, 1, 2, 3,
2, 3, 2, 1, 3, 3, 2, 3, 3, 1, 3, 3, 1, 3, 2, 1,
3, 3, 2, 3, 3, 1, 2, 3, 2, 3, 3, 1, 3, 3, 2, 3,
2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 3, 1, 2, 3,
2, 3, 2, 1, 3, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 1,
1, 3, 2, 1, 1, 1, 2, 3, 2, 1, 2, 1, 1, 3, 2, 1,
3, 1, 2, 3, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 3,
2, 1, 3, 1, 1, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1,
1, 3, 2, 1, 3, 1, 2, 3, 2, 1, 2, 1, 1, 3, 2, 1,
0, 1,
};
/* Whether to negate y-ordinate. */
static uint8_t recode_neg_4_8[258] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 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,
0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1,
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,
0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0,
1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1,
0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1,
0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0,
1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1,
1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0,
};
/* Recode the scalar for multiplication using pre-computed values, multipliers
* and subtraction.
*
* k Scalar to multiply by.
* v Vector of operations to peform.
*/
static void sp_256_ecc_recode_sum_8_4(sp_digit* k, ecc_recode_sum* v)
{
int i, j;
uint16_t y;
int carry = 0;
int o;
sp_digit n;
j = 0;
n = k[j];
o = 0;
for (i=0; i<33; i++) {
y = n;
if (o + 8 < 64) {
y &= 0xff;
n >>= 8;
o += 8;
}
else if (o + 8 == 64) {
n >>= 8;
if (++j < 4)
n = k[j];
o = 0;
}
else if (++j < 4) {
n = k[j];
y |= (n << (64 - o)) & 0xff;
o -= 56;
n >>= o;
}
y += carry;
v[i].i = recode_index_4_8[y];
v[i].mul = recode_mul_4_8[y];
v[i].neg = recode_neg_4_8[y];
carry = (y >> 8) + v[i].neg;
}
}
/* Multiply the base point of P256 by the scalar and return the result.
* If map is true then convert result to affine co-ordinates.
*
* r Resulting point.
* k Scalar to multiply by.
* map Indicates whether to convert result to affine.
* heap Heap to use for allocation.
* returns MEMORY_E when memory allocation fails and MP_OKAY on success.
*/
static int sp_256_ecc_mulmod_base_4(sp_point* r, sp_digit* k, int map,
void* heap)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_point td[4];
sp_point pd;
sp_digit tmpd[2 * 4 * 5];
#endif
sp_point* t;
sp_point* p;
sp_digit* tmp;
sp_digit* negy;
int i;
ecc_recode_sum v[33];
int err;
(void)heap;
err = sp_ecc_point_new(heap, pd, p);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
t = (sp_point*)XMALLOC(sizeof(sp_point) * 4, heap, DYNAMIC_TYPE_ECC);
if (t == NULL)
err = MEMORY_E;
tmp = (sp_digit*)XMALLOC(sizeof(sp_digit) * 2 * 4 * 5, heap,
DYNAMIC_TYPE_ECC);
if (tmp == NULL)
err = MEMORY_E;
#else
t = td;
tmp = tmpd;
#endif
negy = tmp;
if (err == MP_OKAY) {
sp_256_ecc_recode_sum_8_4(k, v);
XMEMCPY(p->z, p256_norm_mod, sizeof(p256_norm_mod));
XMEMSET(t, 0, sizeof(sp_point) * 4);
for (i=0; i<4; i++) {
XMEMCPY(t[i].z, p256_norm_mod, sizeof(p256_norm_mod));
t[i].infinity = 1;
}
i = 32;
XMEMCPY(t[v[i].mul].x, p256_table[i][v[i].i].x, sizeof(p256_table[i]->x));
XMEMCPY(t[v[i].mul].y, p256_table[i][v[i].i].y, sizeof(p256_table[i]->y));
t[v[i].mul].infinity = p256_table[i][v[i].i].infinity;
for (--i; i>=0; i--) {
XMEMCPY(p->x, p256_table[i][v[i].i].x, sizeof(p256_table[i]->x));
XMEMCPY(p->y, p256_table[i][v[i].i].y, sizeof(p256_table[i]->y));
p->infinity = p256_table[i][v[i].i].infinity;
sp_256_sub_4(negy, p256_mod, p->y);
sp_256_cond_copy_4(p->y, negy, (sp_digit)0 - v[i].neg);
sp_256_proj_point_add_qz1_4(&t[v[i].mul], &t[v[i].mul], p, tmp);
}
sp_256_proj_point_add_4(&t[2], &t[2], &t[3], tmp);
sp_256_proj_point_add_4(&t[1], &t[1], &t[3], tmp);
sp_256_proj_point_dbl_4(&t[2], &t[2], tmp);
sp_256_proj_point_add_4(&t[1], &t[1], &t[2], tmp);
if (map)
sp_256_map_4(r, &t[1], tmp);
else
XMEMCPY(r, &t[1], sizeof(sp_point));
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (t != NULL) {
XMEMSET(t, 0, sizeof(sp_point) * 4);
XFREE(t, heap, DYNAMIC_TYPE_ECC);
}
if (tmp != NULL) {
XMEMSET(tmp, 0, sizeof(sp_digit) * 2 * 4 * 5);
XFREE(tmp, heap, DYNAMIC_TYPE_ECC);
}
#else
ForceZero(tmpd, sizeof(tmpd));
ForceZero(td, sizeof(td));
#endif
sp_ecc_point_free(p, 0, heap);
return MP_OKAY;
}
#endif /* WOLFSSL_SP_SMALL */
/* Multiply the base point of P256 by the scalar and return the result.
* If map is true then convert result to affine co-ordinates.
*
* km Scalar to multiply by.
* r Resulting point.
* map Indicates whether to convert result to affine.
* heap Heap to use for allocation.
* returns MEMORY_E when memory allocation fails and MP_OKAY on success.
*/
int sp_ecc_mulmod_base_256(mp_int* km, ecc_point* r, int map, void* heap)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_point p;
sp_digit kd[4];
#endif
sp_point* point;
sp_digit* k = NULL;
int err = MP_OKAY;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
err = sp_ecc_point_new(heap, p, point);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
k = XMALLOC(sizeof(sp_digit) * 4, heap, DYNAMIC_TYPE_ECC);
if (k == NULL)
err = MEMORY_E;
}
#else
k = kd;
#endif
if (err == MP_OKAY) {
sp_256_from_mp(k, 4, km);
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
err = sp_256_ecc_mulmod_base_avx2_4(point, k, map, heap);
else
#endif
err = sp_256_ecc_mulmod_base_4(point, k, map, heap);
}
if (err == MP_OKAY)
err = sp_256_point_to_ecc_point_4(point, r);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (k != NULL)
XFREE(k, heap, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(point, 0, heap);
return err;
}
#if defined(WOLFSSL_VALIDATE_ECC_KEYGEN) || defined(HAVE_ECC_SIGN)
/* Returns 1 if the number of zero.
* Implementation is constant time.
*
* a Number to check.
* returns 1 if the number is zero and 0 otherwise.
*/
static int sp_256_iszero_4(const sp_digit* a)
{
return (a[0] | a[1] | a[2] | a[3]) == 0;
}
#endif /* WOLFSSL_VALIDATE_ECC_KEYGEN || HAVE_ECC_SIGN */
/* Add 1 to a. (a = a + 1)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_256_add_one_4(sp_digit* a)
{
__asm__ __volatile__ (
"ldp x1, x2, [%[a], 0]\n\t"
"ldp x3, x4, [%[a], 16]\n\t"
"adds x1, x1, #1\n\t"
"adcs x2, x2, xzr\n\t"
"adcs x3, x3, xzr\n\t"
"adcs x4, x4, xzr\n\t"
"stp x1, x2, [%[a], 0]\n\t"
"stp x3, x4, [%[a], 16]\n\t"
:
: [a] "r" (a)
: "memory", "x1", "x2", "x3", "x4"
);
}
/* Read big endian unsigned byte aray into r.
*
* r A single precision integer.
* a Byte array.
* n Number of bytes in array to read.
*/
static void sp_256_from_bin(sp_digit* r, int max, const byte* a, int n)
{
int i, j = 0, s = 0;
r[0] = 0;
for (i = n-1; i >= 0; i--) {
r[j] |= ((sp_digit)a[i]) << s;
if (s >= 56) {
r[j] &= 0xffffffffffffffffl;
s = 64 - s;
if (j + 1 >= max)
break;
r[++j] = a[i] >> s;
s = 8 - s;
}
else
s += 8;
}
for (j++; j < max; j++)
r[j] = 0;
}
/* Generates a scalar that is in the range 1..order-1.
*
* rng Random number generator.
* k Scalar value.
* returns RNG failures, MEMORY_E when memory allocation fails and
* MP_OKAY on success.
*/
static int sp_256_ecc_gen_k_4(WC_RNG* rng, sp_digit* k)
{
int err;
byte buf[32];
do {
err = wc_RNG_GenerateBlock(rng, buf, sizeof(buf));
if (err == 0) {
sp_256_from_bin(k, 4, buf, sizeof(buf));
if (sp_256_cmp_4(k, p256_order2) < 0) {
sp_256_add_one_4(k);
break;
}
}
}
while (err == 0);
return err;
}
/* Makes a random EC key pair.
*
* rng Random number generator.
* priv Generated private value.
* pub Generated public point.
* heap Heap to use for allocation.
* returns ECC_INF_E when the point does not have the correct order, RNG
* failures, MEMORY_E when memory allocation fails and MP_OKAY on success.
*/
int sp_ecc_make_key_256(WC_RNG* rng, mp_int* priv, ecc_point* pub, void* heap)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_point p;
sp_digit kd[4];
#ifdef WOLFSSL_VALIDATE_ECC_KEYGEN
sp_point inf;
#endif
#endif
sp_point* point;
sp_digit* k = NULL;
#ifdef WOLFSSL_VALIDATE_ECC_KEYGEN
sp_point* infinity;
#endif
int err;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
(void)heap;
err = sp_ecc_point_new(heap, p, point);
#ifdef WOLFSSL_VALIDATE_ECC_KEYGEN
if (err == MP_OKAY)
err = sp_ecc_point_new(heap, inf, infinity);
#endif
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
k = XMALLOC(sizeof(sp_digit) * 4, heap, DYNAMIC_TYPE_ECC);
if (k == NULL)
err = MEMORY_E;
}
#else
k = kd;
#endif
if (err == MP_OKAY)
err = sp_256_ecc_gen_k_4(rng, k);
if (err == MP_OKAY) {
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
err = sp_256_ecc_mulmod_base_avx2_4(point, k, 1, NULL);
else
#endif
err = sp_256_ecc_mulmod_base_4(point, k, 1, NULL);
}
#ifdef WOLFSSL_VALIDATE_ECC_KEYGEN
if (err == MP_OKAY) {
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags)) {
err = sp_256_ecc_mulmod_avx2_4(infinity, point, p256_order, 1,
NULL);
}
else
#endif
err = sp_256_ecc_mulmod_4(infinity, point, p256_order, 1, NULL);
}
if (err == MP_OKAY) {
if (!sp_256_iszero_4(point->x) || !sp_256_iszero_4(point->y))
err = ECC_INF_E;
}
#endif
if (err == MP_OKAY)
err = sp_256_to_mp(k, priv);
if (err == MP_OKAY)
err = sp_256_point_to_ecc_point_4(point, pub);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (k != NULL)
XFREE(k, heap, DYNAMIC_TYPE_ECC);
#endif
#ifdef WOLFSSL_VALIDATE_ECC_KEYGEN
sp_ecc_point_free(infinity, 1, heap);
#endif
sp_ecc_point_free(point, 1, heap);
return err;
}
#ifdef HAVE_ECC_DHE
/* Write r as big endian to byte aray.
* Fixed length number of bytes written: 32
*
* r A single precision integer.
* a Byte array.
*/
static void sp_256_to_bin(sp_digit* r, byte* a)
{
int i, j, s = 0, b;
j = 256 / 8 - 1;
a[j] = 0;
for (i=0; i<4 && j>=0; i++) {
b = 0;
a[j--] |= r[i] << s; b += 8 - s;
if (j < 0)
break;
while (b < 64) {
a[j--] = r[i] >> b; b += 8;
if (j < 0)
break;
}
s = 8 - (b - 64);
if (j >= 0)
a[j] = 0;
if (s != 0)
j++;
}
}
/* Multiply the point by the scalar and serialize the X ordinate.
* The number is 0 padded to maximum size on output.
*
* priv Scalar to multiply the point by.
* pub Point to multiply.
* out Buffer to hold X ordinate.
* outLen On entry, size of the buffer in bytes.
* On exit, length of data in buffer in bytes.
* heap Heap to use for allocation.
* returns BUFFER_E if the buffer is to small for output size,
* MEMORY_E when memory allocation fails and MP_OKAY on success.
*/
int sp_ecc_secret_gen_256(mp_int* priv, ecc_point* pub, byte* out,
word32* outLen, void* heap)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_point p;
sp_digit kd[4];
#endif
sp_point* point = NULL;
sp_digit* k = NULL;
int err = MP_OKAY;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
if (*outLen < 32)
err = BUFFER_E;
if (err == MP_OKAY)
err = sp_ecc_point_new(heap, p, point);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
k = XMALLOC(sizeof(sp_digit) * 4, heap, DYNAMIC_TYPE_ECC);
if (k == NULL)
err = MEMORY_E;
}
#else
k = kd;
#endif
if (err == MP_OKAY) {
sp_256_from_mp(k, 4, priv);
sp_256_point_from_ecc_point_4(point, pub);
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
err = sp_256_ecc_mulmod_avx2_4(point, point, k, 1, heap);
else
#endif
err = sp_256_ecc_mulmod_4(point, point, k, 1, heap);
}
if (err == MP_OKAY) {
sp_256_to_bin(point->x, out);
*outLen = 32;
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (k != NULL)
XFREE(k, heap, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(point, 0, heap);
return err;
}
#endif /* HAVE_ECC_DHE */
#if defined(HAVE_ECC_SIGN) || defined(HAVE_ECC_VERIFY)
/* Add b to a into r. (r = a + b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static sp_digit sp_256_add_4(sp_digit* r, const sp_digit* a,
const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x3, x4, [%[a], 0]\n\t"
"ldp x5, x6, [%[a], 16]\n\t"
"ldp x7, x8, [%[b], 0]\n\t"
"ldp x9, x10, [%[b], 16]\n\t"
"adds x3, x3, x7\n\t"
"adcs x4, x4, x8\n\t"
"adcs x5, x5, x9\n\t"
"adcs x6, x6, x10\n\t"
"stp x3, x4, [%[r], 0]\n\t"
"stp x5, x6, [%[r], 16]\n\t"
"cset %[c], cs\n\t"
: [c] "+r" (c)
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10"
);
return c;
}
#endif
#if defined(HAVE_ECC_SIGN) || defined(HAVE_ECC_VERIFY)
#ifdef WOLFSSL_SP_SMALL
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_256_mul_4(sp_digit* r, const sp_digit* a, const sp_digit* b)
{
sp_digit tmp[8];
__asm__ __volatile__ (
"mov x5, 0\n\t"
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 24\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[b], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 32\n\t"
"b.eq 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 48\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
#else
/* Multiply a and b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision integer.
*/
static void sp_256_mul_4(sp_digit* r, const sp_digit* a, const sp_digit* b)
{
sp_digit tmp[4];
__asm__ __volatile__ (
"ldp x8, x9, [%[a], 0]\n\t"
"ldp x10, x11, [%[a], 16]\n\t"
"ldp x12, x13, [%[b], 0]\n\t"
"ldp x14, x15, [%[b], 16]\n\t"
"# A[0] * B[0]\n\t"
"mul x3, x8, x12\n\t"
"umulh x4, x8, x12\n\t"
"str x3, [%[tmp]]\n\t"
"# A[0] * B[1]\n\t"
"mul x6, x8, x13\n\t"
"umulh x7, x8, x13\n\t"
"adds x4, x4, x6\n\t"
"adc x5, xzr, x7\n\t"
"# A[1] * B[0]\n\t"
"mul x6, x9, x12\n\t"
"umulh x7, x9, x12\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[tmp], 8]\n\t"
"# A[0] * B[2]\n\t"
"mul x6, x8, x14\n\t"
"umulh x7, x8, x14\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[1] * B[1]\n\t"
"mul x6, x9, x13\n\t"
"umulh x7, x9, x13\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"# A[2] * B[0]\n\t"
"mul x6, x10, x12\n\t"
"umulh x7, x10, x12\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[tmp], 16]\n\t"
"# A[0] * B[3]\n\t"
"mul x6, x8, x15\n\t"
"umulh x7, x8, x15\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, xzr, xzr\n\t"
"# A[1] * B[2]\n\t"
"mul x6, x9, x14\n\t"
"umulh x7, x9, x14\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[2] * B[1]\n\t"
"mul x6, x10, x13\n\t"
"umulh x7, x10, x13\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"# A[3] * B[0]\n\t"
"mul x6, x11, x12\n\t"
"umulh x7, x11, x12\n\t"
"adds x3, x3, x6\n\t"
"adcs x4, x4, x7\n\t"
"adc x5, x5, xzr\n\t"
"str x3, [%[tmp], 24]\n\t"
"# A[1] * B[3]\n\t"
"mul x6, x9, x15\n\t"
"umulh x7, x9, x15\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"# A[2] * B[2]\n\t"
"mul x6, x10, x14\n\t"
"umulh x7, x10, x14\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"# A[3] * B[1]\n\t"
"mul x6, x11, x13\n\t"
"umulh x7, x11, x13\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[r], 32]\n\t"
"# A[2] * B[3]\n\t"
"mul x6, x10, x15\n\t"
"umulh x7, x10, x15\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"# A[3] * B[2]\n\t"
"mul x6, x11, x14\n\t"
"umulh x7, x11, x14\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, x4, xzr\n\t"
"str x5, [%[r], 40]\n\t"
"# A[3] * B[3]\n\t"
"mul x6, x11, x15\n\t"
"umulh x7, x11, x15\n\t"
"adds x3, x3, x6\n\t"
"adc x4, x4, x7\n\t"
"stp x3, x4, [%[r], 48]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b), [tmp] "r" (tmp)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x8", "x9", "x10", "x11", "x12", "x13", "x14", "x15"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef HAVE_INTEL_AVX2
#endif /* HAVE_INTEL_AVX2 */
#endif
#if defined(HAVE_ECC_SIGN) || defined(HAVE_ECC_VERIFY)
/* Sub b from a into a. (a -= b)
*
* a A single precision integer and result.
* b A single precision integer.
*/
static sp_digit sp_256_sub_in_place_4(sp_digit* a, const sp_digit* b)
{
sp_digit c = 0;
__asm__ __volatile__ (
"ldp x2, x3, [%[a], 0]\n\t"
"ldp x4, x5, [%[a], 16]\n\t"
"ldp x6, x7, [%[b], 0]\n\t"
"ldp x8, x9, [%[b], 16]\n\t"
"subs x2, x2, x6\n\t"
"sbcs x3, x3, x7\n\t"
"sbcs x4, x4, x8\n\t"
"sbcs x5, x5, x9\n\t"
"stp x2, x3, [%[a], 0]\n\t"
"stp x4, x5, [%[a], 16]\n\t"
"csetm %[c], cc\n\t"
: [c] "+r" (c)
: [a] "r" (a), [b] "r" (b)
: "memory", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9"
);
return c;
}
/* Mul a by digit b into r. (r = a * b)
*
* r A single precision integer.
* a A single precision integer.
* b A single precision digit.
*/
static void sp_256_mul_d_4(sp_digit* r, const sp_digit* a,
const sp_digit b)
{
__asm__ __volatile__ (
"# A[0] * B\n\t"
"ldr x8, [%[a]]\n\t"
"mul x3, %[b], x8\n\t"
"umulh x4, %[b], x8\n\t"
"mov x5, 0\n\t"
"str x3, [%[r]]\n\t"
"# A[1] * B\n\t"
"ldr x8, [%[a], 8]\n\t"
"mov x3, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x4, x4, x6\n\t"
"adcs x5, x5, x7\n\t"
"adc x3, xzr, xzr\n\t"
"str x4, [%[r], 8]\n\t"
"# A[2] * B\n\t"
"ldr x8, [%[a], 16]\n\t"
"mov x4, 0\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x5, x5, x6\n\t"
"adcs x3, x3, x7\n\t"
"adc x4, xzr, xzr\n\t"
"str x5, [%[r], 16]\n\t"
"# A[3] * B\n\t"
"ldr x8, [%[a], 24]\n\t"
"mul x6, %[b], x8\n\t"
"umulh x7, %[b], x8\n\t"
"adds x3, x3, x6\n\t"
"adc x4, x4, x7\n\t"
"str x3, [%[r], 24]\n\t"
"str x4, [%[r], 32]\n\t"
:
: [r] "r" (r), [a] "r" (a), [b] "r" (b)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8"
);
}
/* Divide the double width number (d1|d0) by the dividend. (d1|d0 / div)
*
* d1 The high order half of the number to divide.
* d0 The low order half of the number to divide.
* div The dividend.
* returns the result of the division.
*/
static sp_digit div_256_word_4(sp_digit d1, sp_digit d0, sp_digit div)
{
sp_digit r;
__asm__ __volatile__ (
"lsr x5, %[div], 32\n\t"
"add x5, x5, 1\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x6, x3, 32\n\t"
"mul x4, %[div], x6\n\t"
"umulh x3, %[div], x6\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d1], x5\n\t"
"lsl x3, x3, 32\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"lsl x3, %[d1], 32\n\t"
"orr x3, x3, %[d0], lsr 32\n\t"
"udiv x3, x3, x5\n\t"
"add x6, x6, x3\n\t"
"mul x4, %[div], x3\n\t"
"umulh x3, %[div], x3\n\t"
"subs %[d0], %[d0], x4\n\t"
"sbc %[d1], %[d1], x3\n\t"
"udiv x3, %[d0], %[div]\n\t"
"add x6, x6, x3\n\t"
"mul x3, %[div], x3\n\t"
"sub %[d0], %[d0], x3\n\t"
"mov %[r], x6\n\t"
: [r] "=r" (r)
: [d1] "r" (d1), [d0] "r" (d0), [div] "r" (div)
: "x3", "x4", "x5", "x6"
);
return r;
}
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_256_mask_4(sp_digit* r, sp_digit* a, sp_digit m)
{
#ifdef WOLFSSL_SP_SMALL
int i;
for (i=0; i<4; i++)
r[i] = a[i] & m;
#else
r[0] = a[0] & m;
r[1] = a[1] & m;
r[2] = a[2] & m;
r[3] = a[3] & m;
#endif
}
/* Divide d in a and put remainder into r (m*d + r = a)
* m is not calculated as it is not needed at this time.
*
* a Nmber to be divided.
* d Number to divide with.
* m Multiplier result.
* r Remainder from the division.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_256_div_4(sp_digit* a, sp_digit* d, sp_digit* m,
sp_digit* r)
{
sp_digit t1[8], t2[5];
sp_digit div, r1;
int i;
(void)m;
div = d[3];
XMEMCPY(t1, a, sizeof(*t1) * 2 * 4);
for (i=3; i>=0; i--) {
r1 = div_256_word_4(t1[4 + i], t1[4 + i - 1], div);
sp_256_mul_d_4(t2, d, r1);
t1[4 + i] += sp_256_sub_in_place_4(&t1[i], t2);
t1[4 + i] -= t2[4];
sp_256_mask_4(t2, d, t1[4 + i]);
t1[4 + i] += sp_256_add_4(&t1[i], &t1[i], t2);
sp_256_mask_4(t2, d, t1[4 + i]);
t1[4 + i] += sp_256_add_4(&t1[i], &t1[i], t2);
}
r1 = sp_256_cmp_4(t1, d) >= 0;
sp_256_cond_sub_4(r, t1, t2, (sp_digit)0 - r1);
return MP_OKAY;
}
/* Reduce a modulo m into r. (r = a mod m)
*
* r A single precision number that is the reduced result.
* a A single precision number that is to be reduced.
* m A single precision number that is the modulus to reduce with.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_256_mod_4(sp_digit* r, sp_digit* a, sp_digit* m)
{
return sp_256_div_4(a, m, NULL, r);
}
#endif
#if defined(HAVE_ECC_SIGN) || defined(HAVE_ECC_VERIFY)
#ifdef WOLFSSL_SP_SMALL
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_256_sqr_4(sp_digit* r, const sp_digit* a)
{
sp_digit tmp[8];
__asm__ __volatile__ (
"mov x6, 0\n\t"
"mov x7, 0\n\t"
"mov x8, 0\n\t"
"mov x5, 0\n\t"
"\n1:\n\t"
"subs x3, x5, 24\n\t"
"csel x3, xzr, x3, cc\n\t"
"sub x4, x5, x3\n\t"
"\n2:\n\t"
"cmp x4, x3\n\t"
"b.eq 4f\n\t"
"ldr x10, [%[a], x3]\n\t"
"ldr x11, [%[a], x4]\n\t"
"mul x9, x10, x11\n\t"
"umulh x10, x10, x11\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"b.al 5f\n\t"
"\n4:\n\t"
"ldr x10, [%[a], x3]\n\t"
"mul x9, x10, x10\n\t"
"umulh x10, x10, x10\n\t"
"adds x6, x6, x9\n\t"
"adcs x7, x7, x10\n\t"
"adc x8, x8, xzr\n\t"
"\n5:\n\t"
"add x3, x3, #8\n\t"
"sub x4, x4, #8\n\t"
"cmp x3, 32\n\t"
"b.eq 3f\n\t"
"cmp x3, x4\n\t"
"b.gt 3f\n\t"
"cmp x3, x5\n\t"
"b.le 2b\n\t"
"\n3:\n\t"
"str x6, [%[r], x5]\n\t"
"mov x6, x7\n\t"
"mov x7, x8\n\t"
"mov x8, #0\n\t"
"add x5, x5, #8\n\t"
"cmp x5, 48\n\t"
"b.le 1b\n\t"
"str x6, [%[r], x5]\n\t"
:
: [r] "r" (tmp), [a] "r" (a)
: "memory", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
#else
/* Square a and put result in r. (r = a * a)
*
* r A single precision integer.
* a A single precision integer.
*/
static void sp_256_sqr_4(sp_digit* r, const sp_digit* a)
{
sp_digit tmp[4];
__asm__ __volatile__ (
"ldp x10, x11, [%[a], 0]\n\t"
"ldp x12, x13, [%[a], 16]\n\t"
"# A[0] * A[0]\n\t"
"mul x2, x10, x10\n\t"
"umulh x3, x10, x10\n\t"
"str x2, [%[tmp]]\n\t"
"mov x4, 0\n\t"
"# A[0] * A[1]\n\t"
"mul x8, x10, x11\n\t"
"umulh x9, x10, x11\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, xzr, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"str x3, [%[tmp], 8]\n\t"
"# A[0] * A[2]\n\t"
"mul x8, x10, x12\n\t"
"umulh x9, x10, x12\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, xzr, xzr\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"# A[1] * A[1]\n\t"
"mul x8, x11, x11\n\t"
"umulh x9, x11, x11\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[tmp], 16]\n\t"
"# A[0] * A[3]\n\t"
"mul x8, x10, x13\n\t"
"umulh x9, x10, x13\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, xzr, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"# A[1] * A[2]\n\t"
"mul x8, x11, x12\n\t"
"umulh x9, x11, x12\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"adds x2, x2, x8\n\t"
"adcs x3, x3, x9\n\t"
"adc x4, x4, xzr\n\t"
"str x2, [%[tmp], 24]\n\t"
"# A[1] * A[3]\n\t"
"mul x8, x11, x13\n\t"
"umulh x9, x11, x13\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, xzr, xzr\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"# A[2] * A[2]\n\t"
"mul x8, x12, x12\n\t"
"umulh x9, x12, x12\n\t"
"adds x3, x3, x8\n\t"
"adcs x4, x4, x9\n\t"
"adc x2, x2, xzr\n\t"
"str x3, [%[r], 32]\n\t"
"# A[2] * A[3]\n\t"
"mul x8, x12, x13\n\t"
"umulh x9, x12, x13\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, xzr, xzr\n\t"
"adds x4, x4, x8\n\t"
"adcs x2, x2, x9\n\t"
"adc x3, x3, xzr\n\t"
"str x4, [%[r], 40]\n\t"
"# A[3] * A[3]\n\t"
"mul x8, x13, x13\n\t"
"umulh x9, x13, x13\n\t"
"adds x2, x2, x8\n\t"
"adc x3, x3, x9\n\t"
"stp x2, x3, [%[r], 48]\n\t"
:
: [r] "r" (r), [a] "r" (a), [tmp] "r" (tmp)
: "memory", "x2", "x3", "x4", "x8", "x9", "x10", "x5", "x6", "x7", "x10", "x11", "x12", "x13"
);
XMEMCPY(r, tmp, sizeof(tmp));
}
#endif /* WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Order-2 for the P256 curve. */
static const uint64_t p256_order_2[4] = {
0xf3b9cac2fc63254f,0xbce6faada7179e84,0xffffffffffffffff,
0xffffffff00000000
};
#else
/* The low half of the order-2 of the P256 curve. */
static const uint64_t p256_order_low[2] = {
0xf3b9cac2fc63254f,0xbce6faada7179e84
};
#endif /* WOLFSSL_SP_SMALL */
/* Multiply two number mod the order of P256 curve. (r = a * b mod order)
*
* r Result of the multiplication.
* a First operand of the multiplication.
* b Second operand of the multiplication.
*/
static void sp_256_mont_mul_order_4(sp_digit* r, sp_digit* a, sp_digit* b)
{
sp_256_mul_4(r, a, b);
sp_256_mont_reduce_4(r, p256_order, p256_mp_order);
}
/* Square number mod the order of P256 curve. (r = a * a mod order)
*
* r Result of the squaring.
* a Number to square.
*/
static void sp_256_mont_sqr_order_4(sp_digit* r, sp_digit* a)
{
sp_256_sqr_4(r, a);
sp_256_mont_reduce_4(r, p256_order, p256_mp_order);
}
#ifndef WOLFSSL_SP_SMALL
/* Square number mod the order of P256 curve a number of times.
* (r = a ^ n mod order)
*
* r Result of the squaring.
* a Number to square.
*/
static void sp_256_mont_sqr_n_order_4(sp_digit* r, sp_digit* a, int n)
{
int i;
sp_256_mont_sqr_order_4(r, a);
for (i=1; i<n; i++)
sp_256_mont_sqr_order_4(r, r);
}
#endif /* !WOLFSSL_SP_SMALL */
/* Invert the number, in Montgomery form, modulo the order of the P256 curve.
* (r = 1 / a mod order)
*
* r Inverse result.
* a Number to invert.
* td Temporary data.
*/
static void sp_256_mont_inv_order_4(sp_digit* r, sp_digit* a,
sp_digit* td)
{
#ifdef WOLFSSL_SP_SMALL
sp_digit* t = td;
int i;
XMEMCPY(t, a, sizeof(sp_digit) * 4);
for (i=254; i>=0; i--) {
sp_256_mont_sqr_order_4(t, t);
if (p256_order_2[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_4(t, t, a);
}
XMEMCPY(r, t, sizeof(sp_digit) * 4);
#else
sp_digit* t = td;
sp_digit* t2 = td + 2 * 4;
sp_digit* t3 = td + 4 * 4;
int i;
/* t = a^2 */
sp_256_mont_sqr_order_4(t, a);
/* t = a^3 = t * a */
sp_256_mont_mul_order_4(t, t, a);
/* t2= a^c = t ^ 2 ^ 2 */
sp_256_mont_sqr_n_order_4(t2, t, 2);
/* t3= a^f = t2 * t */
sp_256_mont_mul_order_4(t3, t2, t);
/* t2= a^f0 = t3 ^ 2 ^ 4 */
sp_256_mont_sqr_n_order_4(t2, t3, 4);
/* t = a^ff = t2 * t3 */
sp_256_mont_mul_order_4(t, t2, t3);
/* t3= a^ff00 = t ^ 2 ^ 8 */
sp_256_mont_sqr_n_order_4(t2, t, 8);
/* t = a^ffff = t2 * t */
sp_256_mont_mul_order_4(t, t2, t);
/* t2= a^ffff0000 = t ^ 2 ^ 16 */
sp_256_mont_sqr_n_order_4(t2, t, 16);
/* t = a^ffffffff = t2 * t */
sp_256_mont_mul_order_4(t, t2, t);
/* t2= a^ffffffff0000000000000000 = t ^ 2 ^ 64 */
sp_256_mont_sqr_n_order_4(t2, t, 64);
/* t2= a^ffffffff00000000ffffffff = t2 * t */
sp_256_mont_mul_order_4(t2, t2, t);
/* t2= a^ffffffff00000000ffffffff00000000 = t2 ^ 2 ^ 32 */
sp_256_mont_sqr_n_order_4(t2, t2, 32);
/* t2= a^ffffffff00000000ffffffffffffffff = t2 * t */
sp_256_mont_mul_order_4(t2, t2, t);
/* t2= a^ffffffff00000000ffffffffffffffffbce6 */
for (i=127; i>=112; i--) {
sp_256_mont_sqr_order_4(t2, t2);
if (p256_order_low[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_4(t2, t2, a);
}
/* t2= a^ffffffff00000000ffffffffffffffffbce6f */
sp_256_mont_sqr_n_order_4(t2, t2, 4);
sp_256_mont_mul_order_4(t2, t2, t3);
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84 */
for (i=107; i>=64; i--) {
sp_256_mont_sqr_order_4(t2, t2);
if (p256_order_low[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_4(t2, t2, a);
}
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f */
sp_256_mont_sqr_n_order_4(t2, t2, 4);
sp_256_mont_mul_order_4(t2, t2, t3);
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2 */
for (i=59; i>=32; i--) {
sp_256_mont_sqr_order_4(t2, t2);
if (p256_order_low[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_4(t2, t2, a);
}
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2f */
sp_256_mont_sqr_n_order_4(t2, t2, 4);
sp_256_mont_mul_order_4(t2, t2, t3);
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254 */
for (i=27; i>=0; i--) {
sp_256_mont_sqr_order_4(t2, t2);
if (p256_order_low[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_4(t2, t2, a);
}
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632540 */
sp_256_mont_sqr_n_order_4(t2, t2, 4);
/* r = a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254f */
sp_256_mont_mul_order_4(r, t2, t3);
#endif /* WOLFSSL_SP_SMALL */
}
#ifdef HAVE_INTEL_AVX2
/* Multiply two number mod the order of P256 curve. (r = a * b mod order)
*
* r Result of the multiplication.
* a First operand of the multiplication.
* b Second operand of the multiplication.
*/
static void sp_256_mont_mul_order_avx2_4(sp_digit* r, sp_digit* a, sp_digit* b)
{
sp_256_mul_avx2_4(r, a, b);
sp_256_mont_reduce_avx2_4(r, p256_order, p256_mp_order);
}
/* Square number mod the order of P256 curve. (r = a * a mod order)
*
* r Result of the squaring.
* a Number to square.
*/
static void sp_256_mont_sqr_order_avx2_4(sp_digit* r, sp_digit* a)
{
sp_256_sqr_avx2_4(r, a);
sp_256_mont_reduce_avx2_4(r, p256_order, p256_mp_order);
}
#ifndef WOLFSSL_SP_SMALL
/* Square number mod the order of P256 curve a number of times.
* (r = a ^ n mod order)
*
* r Result of the squaring.
* a Number to square.
*/
static void sp_256_mont_sqr_n_order_avx2_4(sp_digit* r, sp_digit* a, int n)
{
int i;
sp_256_mont_sqr_order_avx2_4(r, a);
for (i=1; i<n; i++)
sp_256_mont_sqr_order_avx2_4(r, r);
}
#endif /* !WOLFSSL_SP_SMALL */
/* Invert the number, in Montgomery form, modulo the order of the P256 curve.
* (r = 1 / a mod order)
*
* r Inverse result.
* a Number to invert.
* td Temporary data.
*/
static void sp_256_mont_inv_order_avx2_4(sp_digit* r, sp_digit* a,
sp_digit* td)
{
#ifdef WOLFSSL_SP_SMALL
sp_digit* t = td;
int i;
XMEMCPY(t, a, sizeof(sp_digit) * 4);
for (i=254; i>=0; i--) {
sp_256_mont_sqr_order_avx2_4(t, t);
if (p256_order_2[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_avx2_4(t, t, a);
}
XMEMCPY(r, t, sizeof(sp_digit) * 4);
#else
sp_digit* t = td;
sp_digit* t2 = td + 2 * 4;
sp_digit* t3 = td + 4 * 4;
int i;
/* t = a^2 */
sp_256_mont_sqr_order_avx2_4(t, a);
/* t = a^3 = t * a */
sp_256_mont_mul_order_avx2_4(t, t, a);
/* t2= a^c = t ^ 2 ^ 2 */
sp_256_mont_sqr_n_order_avx2_4(t2, t, 2);
/* t3= a^f = t2 * t */
sp_256_mont_mul_order_avx2_4(t3, t2, t);
/* t2= a^f0 = t3 ^ 2 ^ 4 */
sp_256_mont_sqr_n_order_avx2_4(t2, t3, 4);
/* t = a^ff = t2 * t3 */
sp_256_mont_mul_order_avx2_4(t, t2, t3);
/* t3= a^ff00 = t ^ 2 ^ 8 */
sp_256_mont_sqr_n_order_avx2_4(t2, t, 8);
/* t = a^ffff = t2 * t */
sp_256_mont_mul_order_avx2_4(t, t2, t);
/* t2= a^ffff0000 = t ^ 2 ^ 16 */
sp_256_mont_sqr_n_order_avx2_4(t2, t, 16);
/* t = a^ffffffff = t2 * t */
sp_256_mont_mul_order_avx2_4(t, t2, t);
/* t2= a^ffffffff0000000000000000 = t ^ 2 ^ 64 */
sp_256_mont_sqr_n_order_avx2_4(t2, t, 64);
/* t2= a^ffffffff00000000ffffffff = t2 * t */
sp_256_mont_mul_order_avx2_4(t2, t2, t);
/* t2= a^ffffffff00000000ffffffff00000000 = t2 ^ 2 ^ 32 */
sp_256_mont_sqr_n_order_avx2_4(t2, t2, 32);
/* t2= a^ffffffff00000000ffffffffffffffff = t2 * t */
sp_256_mont_mul_order_avx2_4(t2, t2, t);
/* t2= a^ffffffff00000000ffffffffffffffffbce6 */
for (i=127; i>=112; i--) {
sp_256_mont_sqr_order_avx2_4(t2, t2);
if (p256_order_low[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_avx2_4(t2, t2, a);
}
/* t2= a^ffffffff00000000ffffffffffffffffbce6f */
sp_256_mont_sqr_n_order_avx2_4(t2, t2, 4);
sp_256_mont_mul_order_avx2_4(t2, t2, t3);
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84 */
for (i=107; i>=64; i--) {
sp_256_mont_sqr_order_avx2_4(t2, t2);
if (p256_order_low[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_avx2_4(t2, t2, a);
}
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f */
sp_256_mont_sqr_n_order_avx2_4(t2, t2, 4);
sp_256_mont_mul_order_avx2_4(t2, t2, t3);
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2 */
for (i=59; i>=32; i--) {
sp_256_mont_sqr_order_avx2_4(t2, t2);
if (p256_order_low[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_avx2_4(t2, t2, a);
}
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2f */
sp_256_mont_sqr_n_order_avx2_4(t2, t2, 4);
sp_256_mont_mul_order_avx2_4(t2, t2, t3);
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254 */
for (i=27; i>=0; i--) {
sp_256_mont_sqr_order_avx2_4(t2, t2);
if (p256_order_low[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_order_avx2_4(t2, t2, a);
}
/* t2= a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632540 */
sp_256_mont_sqr_n_order_avx2_4(t2, t2, 4);
/* r = a^ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254f */
sp_256_mont_mul_order_avx2_4(r, t2, t3);
#endif /* WOLFSSL_SP_SMALL */
}
#endif /* HAVE_INTEL_AVX2 */
#endif /* HAVE_ECC_SIGN || HAVE_ECC_VERIFY */
#ifdef HAVE_ECC_SIGN
#ifndef SP_ECC_MAX_SIG_GEN
#define SP_ECC_MAX_SIG_GEN 64
#endif
/* Sign the hash using the private key.
* e = [hash, 256 bits] from binary
* r = (k.G)->x mod order
* s = (r * x + e) / k mod order
* The hash is truncated to the first 256 bits.
*
* hash Hash to sign.
* hashLen Length of the hash data.
* rng Random number generator.
* priv Private part of key - scalar.
* rm First part of result as an mp_int.
* sm Sirst part of result as an mp_int.
* heap Heap to use for allocation.
* returns RNG failures, MEMORY_E when memory allocation fails and
* MP_OKAY on success.
*/
int sp_ecc_sign_256(const byte* hash, word32 hashLen, WC_RNG* rng, mp_int* priv,
mp_int* rm, mp_int* sm, void* heap)
{
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
sp_digit* d;
#else
sp_digit ed[2*4];
sp_digit xd[2*4];
sp_digit kd[2*4];
sp_digit rd[2*4];
sp_digit td[3 * 2*4];
sp_point p;
#endif
sp_digit* e = NULL;
sp_digit* x = NULL;
sp_digit* k = NULL;
sp_digit* r = NULL;
sp_digit* tmp = NULL;
sp_point* point = NULL;
sp_digit carry;
sp_digit* s;
sp_digit* kInv;
int err = MP_OKAY;
int64_t c;
int i;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
(void)heap;
err = sp_ecc_point_new(heap, p, point);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
d = XMALLOC(sizeof(sp_digit) * 7 * 2 * 4, heap, DYNAMIC_TYPE_ECC);
if (d != NULL) {
e = d + 0 * 4;
x = d + 2 * 4;
k = d + 4 * 4;
r = d + 6 * 4;
tmp = d + 8 * 4;
}
else
err = MEMORY_E;
}
#else
e = ed;
x = xd;
k = kd;
r = rd;
tmp = td;
#endif
s = e;
kInv = k;
if (err == MP_OKAY) {
if (hashLen > 32)
hashLen = 32;
sp_256_from_bin(e, 4, hash, hashLen);
sp_256_from_mp(x, 4, priv);
}
for (i = SP_ECC_MAX_SIG_GEN; err == MP_OKAY && i > 0; i--) {
/* New random point. */
err = sp_256_ecc_gen_k_4(rng, k);
if (err == MP_OKAY) {
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
err = sp_256_ecc_mulmod_base_avx2_4(point, k, 1, heap);
else
#endif
err = sp_256_ecc_mulmod_base_4(point, k, 1, NULL);
}
if (err == MP_OKAY) {
/* r = point->x mod order */
XMEMCPY(r, point->x, sizeof(sp_digit) * 4);
sp_256_norm_4(r);
c = sp_256_cmp_4(r, p256_order);
sp_256_cond_sub_4(r, r, p256_order, 0 - (c >= 0));
sp_256_norm_4(r);
/* Conv k to Montgomery form (mod order) */
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_mul_avx2_4(k, k, p256_norm_order);
else
#endif
sp_256_mul_4(k, k, p256_norm_order);
err = sp_256_mod_4(k, k, p256_order);
}
if (err == MP_OKAY) {
sp_256_norm_4(k);
/* kInv = 1/k mod order */
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_mont_inv_order_avx2_4(kInv, k, tmp);
else
#endif
sp_256_mont_inv_order_4(kInv, k, tmp);
sp_256_norm_4(kInv);
/* s = r * x + e */
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_mul_avx2_4(x, x, r);
else
#endif
sp_256_mul_4(x, x, r);
err = sp_256_mod_4(x, x, p256_order);
}
if (err == MP_OKAY) {
sp_256_norm_4(x);
carry = sp_256_add_4(s, e, x);
sp_256_cond_sub_4(s, s, p256_order, 0 - carry);
sp_256_norm_4(s);
c = sp_256_cmp_4(s, p256_order);
sp_256_cond_sub_4(s, s, p256_order, 0 - (c >= 0));
sp_256_norm_4(s);
/* s = s * k^-1 mod order */
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_mont_mul_order_avx2_4(s, s, kInv);
else
#endif
sp_256_mont_mul_order_4(s, s, kInv);
sp_256_norm_4(s);
/* Check that signature is usable. */
if (!sp_256_iszero_4(s))
break;
}
}
if (i == 0)
err = RNG_FAILURE_E;
if (err == MP_OKAY)
err = sp_256_to_mp(r, rm);
if (err == MP_OKAY)
err = sp_256_to_mp(s, sm);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (d != NULL) {
XMEMSET(d, 0, sizeof(sp_digit) * 8 * 4);
XFREE(d, heap, DYNAMIC_TYPE_ECC);
}
#else
XMEMSET(e, 0, sizeof(sp_digit) * 2 * 4);
XMEMSET(x, 0, sizeof(sp_digit) * 2 * 4);
XMEMSET(k, 0, sizeof(sp_digit) * 2 * 4);
XMEMSET(r, 0, sizeof(sp_digit) * 2 * 4);
XMEMSET(r, 0, sizeof(sp_digit) * 2 * 4);
XMEMSET(tmp, 0, sizeof(sp_digit) * 3 * 2*4);
#endif
sp_ecc_point_free(point, 1, heap);
return err;
}
#endif /* HAVE_ECC_SIGN */
#ifdef HAVE_ECC_VERIFY
/* Verify the signature values with the hash and public key.
* e = Truncate(hash, 256)
* u1 = e/s mod order
* u2 = r/s mod order
* r == (u1.G + u2.Q)->x mod order
* Optimization: Leave point in projective form.
* (x, y, 1) == (x' / z'*z', y' / z'*z'*z', z' / z')
* (r + n*order).z'.z' mod prime == (u1.G + u2.Q)->x'
* The hash is truncated to the first 256 bits.
*
* hash Hash to sign.
* hashLen Length of the hash data.
* rng Random number generator.
* priv Private part of key - scalar.
* rm First part of result as an mp_int.
* sm Sirst part of result as an mp_int.
* heap Heap to use for allocation.
* returns RNG failures, MEMORY_E when memory allocation fails and
* MP_OKAY on success.
*/
int sp_ecc_verify_256(const byte* hash, word32 hashLen, mp_int* pX,
mp_int* pY, mp_int* pZ, mp_int* r, mp_int* sm, int* res, void* heap)
{
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
sp_digit* d = NULL;
#else
sp_digit u1d[2*4];
sp_digit u2d[2*4];
sp_digit sd[2*4];
sp_digit tmpd[2*4 * 5];
sp_point p1d;
sp_point p2d;
#endif
sp_digit* u1;
sp_digit* u2;
sp_digit* s;
sp_digit* tmp;
sp_point* p1;
sp_point* p2 = NULL;
sp_digit carry;
int64_t c;
int err;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
err = sp_ecc_point_new(heap, p1d, p1);
if (err == MP_OKAY)
err = sp_ecc_point_new(heap, p2d, p2);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
d = XMALLOC(sizeof(sp_digit) * 16 * 4, heap, DYNAMIC_TYPE_ECC);
if (d != NULL) {
u1 = d + 0 * 4;
u2 = d + 2 * 4;
s = d + 4 * 4;
tmp = d + 6 * 4;
}
else
err = MEMORY_E;
}
#else
u1 = u1d;
u2 = u2d;
s = sd;
tmp = tmpd;
#endif
if (err == MP_OKAY) {
if (hashLen > 32)
hashLen = 32;
sp_256_from_bin(u1, 4, hash, hashLen);
sp_256_from_mp(u2, 4, r);
sp_256_from_mp(s, 4, sm);
sp_256_from_mp(p2->x, 4, pX);
sp_256_from_mp(p2->y, 4, pY);
sp_256_from_mp(p2->z, 4, pZ);
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_mul_avx2_4(s, s, p256_norm_order);
else
#endif
sp_256_mul_4(s, s, p256_norm_order);
err = sp_256_mod_4(s, s, p256_order);
}
if (err == MP_OKAY) {
sp_256_norm_4(s);
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags)) {
sp_256_mont_inv_order_avx2_4(s, s, tmp);
sp_256_mont_mul_order_avx2_4(u1, u1, s);
sp_256_mont_mul_order_avx2_4(u2, u2, s);
}
else
#endif
{
sp_256_mont_inv_order_4(s, s, tmp);
sp_256_mont_mul_order_4(u1, u1, s);
sp_256_mont_mul_order_4(u2, u2, s);
}
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
err = sp_256_ecc_mulmod_base_avx2_4(p1, u1, 0, heap);
else
#endif
err = sp_256_ecc_mulmod_base_4(p1, u1, 0, heap);
}
if (err == MP_OKAY) {
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
err = sp_256_ecc_mulmod_avx2_4(p2, p2, u2, 0, heap);
else
#endif
err = sp_256_ecc_mulmod_4(p2, p2, u2, 0, heap);
}
if (err == MP_OKAY) {
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_proj_point_add_avx2_4(p1, p1, p2, tmp);
else
#endif
sp_256_proj_point_add_4(p1, p1, p2, tmp);
/* (r + n*order).z'.z' mod prime == (u1.G + u2.Q)->x' */
/* Reload r and convert to Montgomery form. */
sp_256_from_mp(u2, 4, r);
err = sp_256_mod_mul_norm_4(u2, u2, p256_mod);
}
if (err == MP_OKAY) {
/* u1 = r.z'.z' mod prime */
sp_256_mont_sqr_4(p1->z, p1->z, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(u1, u2, p1->z, p256_mod, p256_mp_mod);
*res = sp_256_cmp_4(p1->x, u1) == 0;
if (*res == 0) {
/* Reload r and add order. */
sp_256_from_mp(u2, 4, r);
carry = sp_256_add_4(u2, u2, p256_order);
/* Carry means result is greater than mod and is not valid. */
if (!carry) {
sp_256_norm_4(u2);
/* Compare with mod and if greater or equal then not valid. */
c = sp_256_cmp_4(u2, p256_mod);
if (c < 0) {
/* Convert to Montogomery form */
err = sp_256_mod_mul_norm_4(u2, u2, p256_mod);
if (err == MP_OKAY) {
/* u1 = (r + 1*order).z'.z' mod prime */
sp_256_mont_mul_4(u1, u2, p1->z, p256_mod,
p256_mp_mod);
*res = sp_256_cmp_4(p1->x, u2) == 0;
}
}
}
}
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (d != NULL)
XFREE(d, heap, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(p1, 0, heap);
sp_ecc_point_free(p2, 0, heap);
return err;
}
#endif /* HAVE_ECC_VERIFY */
#ifdef HAVE_ECC_CHECK_KEY
/* Check that the x and y oridinates are a valid point on the curve.
*
* point EC point.
* heap Heap to use if dynamically allocating.
* returns MEMORY_E if dynamic memory allocation fails, MP_VAL if the point is
* not on the curve and MP_OKAY otherwise.
*/
static int sp_256_ecc_is_point_4(sp_point* point, void* heap)
{
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
sp_digit* d = NULL;
#else
sp_digit t1d[2*4];
sp_digit t2d[2*4];
#endif
sp_digit* t1;
sp_digit* t2;
int err = MP_OKAY;
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
d = XMALLOC(sizeof(sp_digit) * 4 * 4, heap, DYNAMIC_TYPE_ECC);
if (d != NULL) {
t1 = d + 0 * 4;
t2 = d + 2 * 4;
}
else
err = MEMORY_E;
#else
(void)heap;
t1 = t1d;
t2 = t2d;
#endif
if (err == MP_OKAY) {
sp_256_sqr_4(t1, point->y);
sp_256_mod_4(t1, t1, p256_mod);
sp_256_sqr_4(t2, point->x);
sp_256_mod_4(t2, t2, p256_mod);
sp_256_mul_4(t2, t2, point->x);
sp_256_mod_4(t2, t2, p256_mod);
sp_256_sub_4(t2, p256_mod, t2);
sp_256_mont_add_4(t1, t1, t2, p256_mod);
sp_256_mont_add_4(t1, t1, point->x, p256_mod);
sp_256_mont_add_4(t1, t1, point->x, p256_mod);
sp_256_mont_add_4(t1, t1, point->x, p256_mod);
if (sp_256_cmp_4(t1, p256_b) != 0)
err = MP_VAL;
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (d != NULL)
XFREE(d, heap, DYNAMIC_TYPE_ECC);
#endif
return err;
}
/* Check that the x and y oridinates are a valid point on the curve.
*
* pX X ordinate of EC point.
* pY Y ordinate of EC point.
* returns MEMORY_E if dynamic memory allocation fails, MP_VAL if the point is
* not on the curve and MP_OKAY otherwise.
*/
int sp_ecc_is_point_256(mp_int* pX, mp_int* pY)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_point pubd;
#endif
sp_point* pub;
byte one[1] = { 1 };
int err;
err = sp_ecc_point_new(NULL, pubd, pub);
if (err == MP_OKAY) {
sp_256_from_mp(pub->x, 4, pX);
sp_256_from_mp(pub->y, 4, pY);
sp_256_from_bin(pub->z, 4, one, sizeof(one));
err = sp_256_ecc_is_point_4(pub, NULL);
}
sp_ecc_point_free(pub, 0, NULL);
return err;
}
/* Check that the private scalar generates the EC point (px, py), the point is
* on the curve and the point has the correct order.
*
* pX X ordinate of EC point.
* pY Y ordinate of EC point.
* privm Private scalar that generates EC point.
* returns MEMORY_E if dynamic memory allocation fails, MP_VAL if the point is
* not on the curve, ECC_INF_E if the point does not have the correct order,
* ECC_PRIV_KEY_E when the private scalar doesn't generate the EC point and
* MP_OKAY otherwise.
*/
int sp_ecc_check_key_256(mp_int* pX, mp_int* pY, mp_int* privm, void* heap)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_digit privd[4];
sp_point pubd;
sp_point pd;
#endif
sp_digit* priv = NULL;
sp_point* pub;
sp_point* p = NULL;
byte one[1] = { 1 };
int err;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
err = sp_ecc_point_new(heap, pubd, pub);
if (err == MP_OKAY)
err = sp_ecc_point_new(heap, pd, p);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
priv = XMALLOC(sizeof(sp_digit) * 4, heap, DYNAMIC_TYPE_ECC);
if (priv == NULL)
err = MEMORY_E;
}
#else
priv = privd;
#endif
if (err == MP_OKAY) {
sp_256_from_mp(pub->x, 4, pX);
sp_256_from_mp(pub->y, 4, pY);
sp_256_from_bin(pub->z, 4, one, sizeof(one));
sp_256_from_mp(priv, 4, privm);
/* Check point at infinitiy. */
if (sp_256_iszero_4(pub->x) &&
sp_256_iszero_4(pub->y))
err = ECC_INF_E;
}
if (err == MP_OKAY) {
/* Check range of X and Y */
if (sp_256_cmp_4(pub->x, p256_mod) >= 0 ||
sp_256_cmp_4(pub->y, p256_mod) >= 0)
err = ECC_OUT_OF_RANGE_E;
}
if (err == MP_OKAY) {
/* Check point is on curve */
err = sp_256_ecc_is_point_4(pub, heap);
}
if (err == MP_OKAY) {
/* Point * order = infinity */
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
err = sp_256_ecc_mulmod_avx2_4(p, pub, p256_order, 1, heap);
else
#endif
err = sp_256_ecc_mulmod_4(p, pub, p256_order, 1, heap);
}
if (err == MP_OKAY) {
/* Check result is infinity */
if (!sp_256_iszero_4(p->x) ||
!sp_256_iszero_4(p->y)) {
err = ECC_INF_E;
}
}
if (err == MP_OKAY) {
/* Base * private = point */
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
err = sp_256_ecc_mulmod_base_avx2_4(p, priv, 1, heap);
else
#endif
err = sp_256_ecc_mulmod_base_4(p, priv, 1, heap);
}
if (err == MP_OKAY) {
/* Check result is public key */
if (sp_256_cmp_4(p->x, pub->x) != 0 ||
sp_256_cmp_4(p->y, pub->y) != 0) {
err = ECC_PRIV_KEY_E;
}
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (priv != NULL)
XFREE(priv, heap, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(p, 0, heap);
sp_ecc_point_free(pub, 0, heap);
return err;
}
#endif
#ifdef WOLFSSL_PUBLIC_ECC_ADD_DBL
/* Add two projective EC points together.
* (pX, pY, pZ) + (qX, qY, qZ) = (rX, rY, rZ)
*
* pX First EC point's X ordinate.
* pY First EC point's Y ordinate.
* pZ First EC point's Z ordinate.
* qX Second EC point's X ordinate.
* qY Second EC point's Y ordinate.
* qZ Second EC point's Z ordinate.
* rX Resultant EC point's X ordinate.
* rY Resultant EC point's Y ordinate.
* rZ Resultant EC point's Z ordinate.
* returns MEMORY_E if dynamic memory allocation fails and MP_OKAY otherwise.
*/
int sp_ecc_proj_add_point_256(mp_int* pX, mp_int* pY, mp_int* pZ,
mp_int* qX, mp_int* qY, mp_int* qZ,
mp_int* rX, mp_int* rY, mp_int* rZ)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_digit tmpd[2 * 4 * 5];
sp_point pd;
sp_point qd;
#endif
sp_digit* tmp;
sp_point* p;
sp_point* q = NULL;
int err;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
err = sp_ecc_point_new(NULL, pd, p);
if (err == MP_OKAY)
err = sp_ecc_point_new(NULL, qd, q);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
tmp = XMALLOC(sizeof(sp_digit) * 2 * 4 * 5, NULL, DYNAMIC_TYPE_ECC);
if (tmp == NULL)
err = MEMORY_E;
}
#else
tmp = tmpd;
#endif
if (err == MP_OKAY) {
sp_256_from_mp(p->x, 4, pX);
sp_256_from_mp(p->y, 4, pY);
sp_256_from_mp(p->z, 4, pZ);
sp_256_from_mp(q->x, 4, qX);
sp_256_from_mp(q->y, 4, qY);
sp_256_from_mp(q->z, 4, qZ);
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_proj_point_add_avx2_4(p, p, q, tmp);
else
#endif
sp_256_proj_point_add_4(p, p, q, tmp);
}
if (err == MP_OKAY)
err = sp_256_to_mp(p->x, rX);
if (err == MP_OKAY)
err = sp_256_to_mp(p->y, rY);
if (err == MP_OKAY)
err = sp_256_to_mp(p->z, rZ);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (tmp != NULL)
XFREE(tmp, NULL, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(q, 0, NULL);
sp_ecc_point_free(p, 0, NULL);
return err;
}
/* Double a projective EC point.
* (pX, pY, pZ) + (pX, pY, pZ) = (rX, rY, rZ)
*
* pX EC point's X ordinate.
* pY EC point's Y ordinate.
* pZ EC point's Z ordinate.
* rX Resultant EC point's X ordinate.
* rY Resultant EC point's Y ordinate.
* rZ Resultant EC point's Z ordinate.
* returns MEMORY_E if dynamic memory allocation fails and MP_OKAY otherwise.
*/
int sp_ecc_proj_dbl_point_256(mp_int* pX, mp_int* pY, mp_int* pZ,
mp_int* rX, mp_int* rY, mp_int* rZ)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_digit tmpd[2 * 4 * 2];
sp_point pd;
#endif
sp_digit* tmp;
sp_point* p;
int err;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
err = sp_ecc_point_new(NULL, pd, p);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
tmp = XMALLOC(sizeof(sp_digit) * 2 * 4 * 2, NULL, DYNAMIC_TYPE_ECC);
if (tmp == NULL)
err = MEMORY_E;
}
#else
tmp = tmpd;
#endif
if (err == MP_OKAY) {
sp_256_from_mp(p->x, 4, pX);
sp_256_from_mp(p->y, 4, pY);
sp_256_from_mp(p->z, 4, pZ);
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_proj_point_dbl_avx2_4(p, p, tmp);
else
#endif
sp_256_proj_point_dbl_4(p, p, tmp);
}
if (err == MP_OKAY)
err = sp_256_to_mp(p->x, rX);
if (err == MP_OKAY)
err = sp_256_to_mp(p->y, rY);
if (err == MP_OKAY)
err = sp_256_to_mp(p->z, rZ);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (tmp != NULL)
XFREE(tmp, NULL, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(p, 0, NULL);
return err;
}
/* Map a projective EC point to affine in place.
* pZ will be one.
*
* pX EC point's X ordinate.
* pY EC point's Y ordinate.
* pZ EC point's Z ordinate.
* returns MEMORY_E if dynamic memory allocation fails and MP_OKAY otherwise.
*/
int sp_ecc_map_256(mp_int* pX, mp_int* pY, mp_int* pZ)
{
#if !defined(WOLFSSL_SP_SMALL) && !defined(WOLFSSL_SMALL_STACK)
sp_digit tmpd[2 * 4 * 4];
sp_point pd;
#endif
sp_digit* tmp;
sp_point* p;
int err;
err = sp_ecc_point_new(NULL, pd, p);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (err == MP_OKAY) {
tmp = XMALLOC(sizeof(sp_digit) * 2 * 4 * 4, NULL, DYNAMIC_TYPE_ECC);
if (tmp == NULL)
err = MEMORY_E;
}
#else
tmp = tmpd;
#endif
if (err == MP_OKAY) {
sp_256_from_mp(p->x, 4, pX);
sp_256_from_mp(p->y, 4, pY);
sp_256_from_mp(p->z, 4, pZ);
sp_256_map_4(p, p, tmp);
}
if (err == MP_OKAY)
err = sp_256_to_mp(p->x, pX);
if (err == MP_OKAY)
err = sp_256_to_mp(p->y, pY);
if (err == MP_OKAY)
err = sp_256_to_mp(p->z, pZ);
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (tmp != NULL)
XFREE(tmp, NULL, DYNAMIC_TYPE_ECC);
#endif
sp_ecc_point_free(p, 0, NULL);
return err;
}
#endif /* WOLFSSL_PUBLIC_ECC_ADD_DBL */
#ifdef HAVE_COMP_KEY
/* Find the square root of a number mod the prime of the curve.
*
* y The number to operate on and the result.
* returns MEMORY_E if dynamic memory allocation fails and MP_OKAY otherwise.
*/
static int sp_256_mont_sqrt_4(sp_digit* y)
{
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
sp_digit* d;
#else
sp_digit t1d[2 * 4];
sp_digit t2d[2 * 4];
#endif
sp_digit* t1;
sp_digit* t2;
int err = MP_OKAY;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
d = XMALLOC(sizeof(sp_digit) * 4 * 4, NULL, DYNAMIC_TYPE_ECC);
if (d != NULL) {
t1 = d + 0 * 4;
t2 = d + 2 * 4;
}
else
err = MEMORY_E;
#else
t1 = t1d;
t2 = t2d;
#endif
if (err == MP_OKAY) {
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags)) {
/* t2 = y ^ 0x2 */
sp_256_mont_sqr_avx2_4(t2, y, p256_mod, p256_mp_mod);
/* t1 = y ^ 0x3 */
sp_256_mont_mul_avx2_4(t1, t2, y, p256_mod, p256_mp_mod);
/* t2 = y ^ 0xc */
sp_256_mont_sqr_n_avx2_4(t2, t1, 2, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xf */
sp_256_mont_mul_avx2_4(t1, t1, t2, p256_mod, p256_mp_mod);
/* t2 = y ^ 0xf0 */
sp_256_mont_sqr_n_avx2_4(t2, t1, 4, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xff */
sp_256_mont_mul_avx2_4(t1, t1, t2, p256_mod, p256_mp_mod);
/* t2 = y ^ 0xff00 */
sp_256_mont_sqr_n_avx2_4(t2, t1, 8, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffff */
sp_256_mont_mul_avx2_4(t1, t1, t2, p256_mod, p256_mp_mod);
/* t2 = y ^ 0xffff0000 */
sp_256_mont_sqr_n_avx2_4(t2, t1, 16, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff */
sp_256_mont_mul_avx2_4(t1, t1, t2, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff00000000 */
sp_256_mont_sqr_n_avx2_4(t1, t1, 32, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff00000001 */
sp_256_mont_mul_avx2_4(t1, t1, y, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff00000001000000000000000000000000 */
sp_256_mont_sqr_n_avx2_4(t1, t1, 96, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff00000001000000000000000000000001 */
sp_256_mont_mul_avx2_4(t1, t1, y, p256_mod, p256_mp_mod);
sp_256_mont_sqr_n_avx2_4(y, t1, 94, p256_mod, p256_mp_mod);
}
else
#endif
{
/* t2 = y ^ 0x2 */
sp_256_mont_sqr_4(t2, y, p256_mod, p256_mp_mod);
/* t1 = y ^ 0x3 */
sp_256_mont_mul_4(t1, t2, y, p256_mod, p256_mp_mod);
/* t2 = y ^ 0xc */
sp_256_mont_sqr_n_4(t2, t1, 2, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xf */
sp_256_mont_mul_4(t1, t1, t2, p256_mod, p256_mp_mod);
/* t2 = y ^ 0xf0 */
sp_256_mont_sqr_n_4(t2, t1, 4, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xff */
sp_256_mont_mul_4(t1, t1, t2, p256_mod, p256_mp_mod);
/* t2 = y ^ 0xff00 */
sp_256_mont_sqr_n_4(t2, t1, 8, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffff */
sp_256_mont_mul_4(t1, t1, t2, p256_mod, p256_mp_mod);
/* t2 = y ^ 0xffff0000 */
sp_256_mont_sqr_n_4(t2, t1, 16, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff */
sp_256_mont_mul_4(t1, t1, t2, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff00000000 */
sp_256_mont_sqr_n_4(t1, t1, 32, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff00000001 */
sp_256_mont_mul_4(t1, t1, y, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff00000001000000000000000000000000 */
sp_256_mont_sqr_n_4(t1, t1, 96, p256_mod, p256_mp_mod);
/* t1 = y ^ 0xffffffff00000001000000000000000000000001 */
sp_256_mont_mul_4(t1, t1, y, p256_mod, p256_mp_mod);
sp_256_mont_sqr_n_4(y, t1, 94, p256_mod, p256_mp_mod);
}
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (d != NULL)
XFREE(d, NULL, DYNAMIC_TYPE_ECC);
#endif
return err;
}
/* Uncompress the point given the X ordinate.
*
* xm X ordinate.
* odd Whether the Y ordinate is odd.
* ym Calculated Y ordinate.
* returns MEMORY_E if dynamic memory allocation fails and MP_OKAY otherwise.
*/
int sp_ecc_uncompress_256(mp_int* xm, int odd, mp_int* ym)
{
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
sp_digit* d;
#else
sp_digit xd[2 * 4];
sp_digit yd[2 * 4];
#endif
sp_digit* x;
sp_digit* y;
int err = MP_OKAY;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
d = XMALLOC(sizeof(sp_digit) * 4 * 4, NULL, DYNAMIC_TYPE_ECC);
if (d != NULL) {
x = d + 0 * 4;
y = d + 2 * 4;
}
else
err = MEMORY_E;
#else
x = xd;
y = yd;
#endif
if (err == MP_OKAY) {
sp_256_from_mp(x, 4, xm);
err = sp_256_mod_mul_norm_4(x, x, p256_mod);
}
if (err == MP_OKAY) {
/* y = x^3 */
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags)) {
sp_256_mont_sqr_avx2_4(y, x, p256_mod, p256_mp_mod);
sp_256_mont_mul_avx2_4(y, y, x, p256_mod, p256_mp_mod);
}
else
#endif
{
sp_256_mont_sqr_4(y, x, p256_mod, p256_mp_mod);
sp_256_mont_mul_4(y, y, x, p256_mod, p256_mp_mod);
}
/* y = x^3 - 3x */
sp_256_mont_sub_4(y, y, x, p256_mod);
sp_256_mont_sub_4(y, y, x, p256_mod);
sp_256_mont_sub_4(y, y, x, p256_mod);
/* y = x^3 - 3x + b */
err = sp_256_mod_mul_norm_4(x, p256_b, p256_mod);
}
if (err == MP_OKAY) {
sp_256_mont_add_4(y, y, x, p256_mod);
/* y = sqrt(x^3 - 3x + b) */
err = sp_256_mont_sqrt_4(y);
}
if (err == MP_OKAY) {
XMEMSET(y + 4, 0, 4 * sizeof(sp_digit));
sp_256_mont_reduce_4(y, p256_mod, p256_mp_mod);
if (((y[0] ^ odd) & 1) != 0)
sp_256_mont_sub_4(y, p256_mod, y, p256_mod);
err = sp_256_to_mp(y, ym);
}
#if defined(WOLFSSL_SP_SMALL) || defined(WOLFSSL_SMALL_STACK)
if (d != NULL)
XFREE(d, NULL, DYNAMIC_TYPE_ECC);
#endif
return err;
}
#endif
#endif /* WOLFSSL_SP_NO_256 */
#endif /* WOLFSSL_HAVE_SP_ECC */
#endif /* WOLFSSL_SP_ARM64_ASM */
#endif /* WOLFSSL_HAVE_SP_RSA || WOLFSSL_HAVE_SP_DH || WOLFSSL_HAVE_SP_ECC */