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ec_base.h
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/**********************************************************************
Copyright(c) 2011-2015 Intel Corporation All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in
the documentation and/or other materials provided with the
distribution.
* Neither the name of Intel Corporation nor the names of its
contributors may be used to endorse or promote products derived
from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
**********************************************************************/
#ifndef _EC_BASE_H_
#define _EC_BASE_H_
#include <stdint.h>
#define MAX_NUM_OUTPUTS_CALL 6
static const uint64_t gf_table_gfni[256] = {
0x0000000000000000, 0x102040810204080, 0x8001828488102040, 0x8103868c983060c0,
0x408041c2c4881020, 0x418245cad4a850a0, 0xc081c3464c983060, 0xc183c74e5cb870e0,
0x2040a061e2c48810, 0x2142a469f2e4c890, 0xa04122e56ad4a850, 0xa14326ed7af4e8d0,
0x60c0e1a3264c9830, 0x61c2e5ab366cd8b0, 0xe0c16327ae5cb870, 0xe1c3672fbe7cf8f0,
0x102050b071e2c488, 0x112254b861c28408, 0x9021d234f9f2e4c8, 0x9123d63ce9d2a448,
0x50a01172b56ad4a8, 0x51a2157aa54a9428, 0xd0a193f63d7af4e8, 0xd1a397fe2d5ab468,
0x3060f0d193264c98, 0x3162f4d983060c18, 0xb06172551b366cd8, 0xb163765d0b162c58,
0x70e0b11357ae5cb8, 0x71e2b51b478e1c38, 0xf0e13397dfbe7cf8, 0xf1e3379fcf9e3c78,
0x8810a8d83871e2c4, 0x8912acd02851a244, 0x08112a5cb061c284, 0x09132e54a0418204,
0xc890e91afcf9f2e4, 0xc992ed12ecd9b264, 0x48916b9e74e9d2a4, 0x49936f9664c99224,
0xa85008b9dab56ad4, 0xa9520cb1ca952a54, 0x28518a3d52a54a94, 0x29538e3542850a14,
0xe8d0497b1e3d7af4, 0xe9d24d730e1d3a74, 0x68d1cbff962d5ab4, 0x69d3cff7860d1a34,
0x9830f8684993264c, 0x9932fc6059b366cc, 0x18317aecc183060c, 0x19337ee4d1a3468c,
0xd8b0b9aa8d1b366c, 0xd9b2bda29d3b76ec, 0x58b13b2e050b162c, 0x59b33f26152b56ac,
0xb8705809ab57ae5c, 0xb9725c01bb77eedc, 0x3871da8d23478e1c, 0x3973de853367ce9c,
0xf8f019cb6fdfbe7c, 0xf9f21dc37ffffefc, 0x78f19b4fe7cf9e3c, 0x79f39f47f7efdebc,
0xc488d46c1c3871e2, 0xc58ad0640c183162, 0x448956e8942851a2, 0x458b52e084081122,
0x840895aed8b061c2, 0x850a91a6c8902142, 0x0409172a50a04182, 0x050b132240800102,
0xe4c8740dfefcf9f2, 0xe5ca7005eedcb972, 0x64c9f68976ecd9b2, 0x65cbf28166cc9932,
0xa44835cf3a74e9d2, 0xa54a31c72a54a952, 0x2449b74bb264c992, 0x254bb343a2448912,
0xd4a884dc6ddab56a, 0xd5aa80d47dfaf5ea, 0x54a90658e5ca952a, 0x55ab0250f5ead5aa,
0x9428c51ea952a54a, 0x952ac116b972e5ca, 0x1429479a2142850a, 0x152b43923162c58a,
0xf4e824bd8f1e3d7a, 0xf5ea20b59f3e7dfa, 0x74e9a639070e1d3a, 0x75eba231172e5dba,
0xb468657f4b962d5a, 0xb56a61775bb66dda, 0x3469e7fbc3860d1a, 0x356be3f3d3a64d9a,
0x4c987cb424499326, 0x4d9a78bc3469d3a6, 0xcc99fe30ac59b366, 0xcd9bfa38bc79f3e6,
0x0c183d76e0c18306, 0x0d1a397ef0e1c386, 0x8c19bff268d1a346, 0x8d1bbbfa78f1e3c6,
0x6cd8dcd5c68d1b36, 0x6ddad8ddd6ad5bb6, 0xecd95e514e9d3b76, 0xeddb5a595ebd7bf6,
0x2c589d1702050b16, 0x2d5a991f12254b96, 0xac591f938a152b56, 0xad5b1b9b9a356bd6,
0x5cb82c0455ab57ae, 0x5dba280c458b172e, 0xdcb9ae80ddbb77ee, 0xddbbaa88cd9b376e,
0x1c386dc69123478e, 0x1d3a69ce8103070e, 0x9c39ef42193367ce, 0x9d3beb4a0913274e,
0x7cf88c65b76fdfbe, 0x7dfa886da74f9f3e, 0xfcf90ee13f7ffffe, 0xfdfb0ae92f5fbf7e,
0x3c78cda773e7cf9e, 0x3d7ac9af63c78f1e, 0xbc794f23fbf7efde, 0xbd7b4b2bebd7af5e,
0xe2c46a368e1c3871, 0xe3c66e3e9e3c78f1, 0x62c5e8b2060c1831, 0x63c7ecba162c58b1,
0xa2442bf44a942851, 0xa3462ffc5ab468d1, 0x2245a970c2840811, 0x2347ad78d2a44891,
0xc284ca576cd8b061, 0xc386ce5f7cf8f0e1, 0x428548d3e4c89021, 0x43874cdbf4e8d0a1,
0x82048b95a850a041, 0x83068f9db870e0c1, 0x0205091120408001, 0x03070d193060c081,
0xf2e43a86fffefcf9, 0xf3e63e8eefdebc79, 0x72e5b80277eedcb9, 0x73e7bc0a67ce9c39,
0xb2647b443b76ecd9, 0xb3667f4c2b56ac59, 0x3265f9c0b366cc99, 0x3367fdc8a3468c19,
0xd2a49ae71d3a74e9, 0xd3a69eef0d1a3469, 0x52a51863952a54a9, 0x53a71c6b850a1429,
0x9224db25d9b264c9, 0x9326df2dc9922449, 0x122559a151a24489, 0x13275da941820409,
0x6ad4c2eeb66ddab5, 0x6bd6c6e6a64d9a35, 0xead5406a3e7dfaf5, 0xebd744622e5dba75,
0x2a54832c72e5ca95, 0x2b56872462c58a15, 0xaa5501a8faf5ead5, 0xab5705a0ead5aa55,
0x4a94628f54a952a5, 0x4b96668744891225, 0xca95e00bdcb972e5, 0xcb97e403cc993265,
0x0a14234d90214285, 0x0b16274580010205, 0x8a15a1c9183162c5, 0x8b17a5c108112245,
0x7af4925ec78f1e3d, 0x7bf69656d7af5ebd, 0xfaf510da4f9f3e7d, 0xfbf714d25fbf7efd,
0x3a74d39c03070e1d, 0x3b76d79413274e9d, 0xba7551188b172e5d, 0xbb7755109b376edd,
0x5ab4323f254b962d, 0x5bb63637356bd6ad, 0xdab5b0bbad5bb66d, 0xdbb7b4b3bd7bf6ed,
0x1a3473fde1c3860d, 0x1b3677f5f1e3c68d, 0x9a35f17969d3a64d, 0x9b37f57179f3e6cd,
0x264cbe5a92244993, 0x274eba5282040913, 0xa64d3cde1a3469d3, 0xa74f38d60a142953,
0x66ccff9856ac59b3, 0x67cefb90468c1933, 0xe6cd7d1cdebc79f3, 0xe7cf7914ce9c3973,
0x060c1e3b70e0c183, 0x070e1a3360c08103, 0x860d9cbff8f0e1c3, 0x870f98b7e8d0a143,
0x468c5ff9b468d1a3, 0x478e5bf1a4489123, 0xc68ddd7d3c78f1e3, 0xc78fd9752c58b163,
0x366ceeeae3c68d1b, 0x376eeae2f3e6cd9b, 0xb66d6c6e6bd6ad5b, 0xb76f68667bf6eddb,
0x76ecaf28274e9d3b, 0x77eeab20376eddbb, 0xf6ed2dacaf5ebd7b, 0xf7ef29a4bf7efdfb,
0x162c4e8b0102050b, 0x172e4a831122458b, 0x962dcc0f8912254b, 0x972fc807993265cb,
0x56ac0f49c58a152b, 0x57ae0b41d5aa55ab, 0xd6ad8dcd4d9a356b, 0xd7af89c55dba75eb,
0xae5c1682aa55ab57, 0xaf5e128aba75ebd7, 0x2e5d940622458b17, 0x2f5f900e3265cb97,
0xeedc57406eddbb77, 0xefde53487efdfbf7, 0x6eddd5c4e6cd9b37, 0x6fdfd1ccf6eddbb7,
0x8e1cb6e348912347, 0x8f1eb2eb58b163c7, 0x0e1d3467c0810307, 0x0f1f306fd0a14387,
0xce9cf7218c193367, 0xcf9ef3299c3973e7, 0x4e9d75a504091327, 0x4f9f71ad142953a7,
0xbe7c4632dbb76fdf, 0xbf7e423acb972f5f, 0x3e7dc4b653a74f9f, 0x3f7fc0be43870f1f,
0xfefc07f01f3f7fff, 0xfffe03f80f1f3f7f, 0x7efd8574972f5fbf, 0x7fff817c870f1f3f,
0x9e3ce6533973e7cf, 0x9f3ee25b2953a74f, 0x1e3d64d7b163c78f, 0x1f3f60dfa143870f,
0xdebca791fdfbf7ef, 0xdfbea399eddbb76f, 0x5ebd251575ebd7af, 0x5fbf211d65cb972f
};
// Global GF(256) tables
#ifndef GF_LARGE_TABLES
static const unsigned char gff_base[] = {
0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1d, 0x3a,
0x74, 0xe8, 0xcd, 0x87, 0x13, 0x26, 0x4c, 0x98, 0x2d, 0x5a,
0xb4, 0x75, 0xea, 0xc9, 0x8f, 0x03, 0x06, 0x0c, 0x18, 0x30,
0x60, 0xc0, 0x9d, 0x27, 0x4e, 0x9c, 0x25, 0x4a, 0x94, 0x35,
0x6a, 0xd4, 0xb5, 0x77, 0xee, 0xc1, 0x9f, 0x23, 0x46, 0x8c,
0x05, 0x0a, 0x14, 0x28, 0x50, 0xa0, 0x5d, 0xba, 0x69, 0xd2,
0xb9, 0x6f, 0xde, 0xa1, 0x5f, 0xbe, 0x61, 0xc2, 0x99, 0x2f,
0x5e, 0xbc, 0x65, 0xca, 0x89, 0x0f, 0x1e, 0x3c, 0x78, 0xf0,
0xfd, 0xe7, 0xd3, 0xbb, 0x6b, 0xd6, 0xb1, 0x7f, 0xfe, 0xe1,
0xdf, 0xa3, 0x5b, 0xb6, 0x71, 0xe2, 0xd9, 0xaf, 0x43, 0x86,
0x11, 0x22, 0x44, 0x88, 0x0d, 0x1a, 0x34, 0x68, 0xd0, 0xbd,
0x67, 0xce, 0x81, 0x1f, 0x3e, 0x7c, 0xf8, 0xed, 0xc7, 0x93,
0x3b, 0x76, 0xec, 0xc5, 0x97, 0x33, 0x66, 0xcc, 0x85, 0x17,
0x2e, 0x5c, 0xb8, 0x6d, 0xda, 0xa9, 0x4f, 0x9e, 0x21, 0x42,
0x84, 0x15, 0x2a, 0x54, 0xa8, 0x4d, 0x9a, 0x29, 0x52, 0xa4,
0x55, 0xaa, 0x49, 0x92, 0x39, 0x72, 0xe4, 0xd5, 0xb7, 0x73,
0xe6, 0xd1, 0xbf, 0x63, 0xc6, 0x91, 0x3f, 0x7e, 0xfc, 0xe5,
0xd7, 0xb3, 0x7b, 0xf6, 0xf1, 0xff, 0xe3, 0xdb, 0xab, 0x4b,
0x96, 0x31, 0x62, 0xc4, 0x95, 0x37, 0x6e, 0xdc, 0xa5, 0x57,
0xae, 0x41, 0x82, 0x19, 0x32, 0x64, 0xc8, 0x8d, 0x07, 0x0e,
0x1c, 0x38, 0x70, 0xe0, 0xdd, 0xa7, 0x53, 0xa6, 0x51, 0xa2,
0x59, 0xb2, 0x79, 0xf2, 0xf9, 0xef, 0xc3, 0x9b, 0x2b, 0x56,
0xac, 0x45, 0x8a, 0x09, 0x12, 0x24, 0x48, 0x90, 0x3d, 0x7a,
0xf4, 0xf5, 0xf7, 0xf3, 0xfb, 0xeb, 0xcb, 0x8b, 0x0b, 0x16,
0x2c, 0x58, 0xb0, 0x7d, 0xfa, 0xe9, 0xcf, 0x83, 0x1b, 0x36,
0x6c, 0xd8, 0xad, 0x47, 0x8e, 0x01
};
static const unsigned char gflog_base[] = {
0x00, 0xff, 0x01, 0x19, 0x02, 0x32, 0x1a, 0xc6, 0x03, 0xdf,
0x33, 0xee, 0x1b, 0x68, 0xc7, 0x4b, 0x04, 0x64, 0xe0, 0x0e,
0x34, 0x8d, 0xef, 0x81, 0x1c, 0xc1, 0x69, 0xf8, 0xc8, 0x08,
0x4c, 0x71, 0x05, 0x8a, 0x65, 0x2f, 0xe1, 0x24, 0x0f, 0x21,
0x35, 0x93, 0x8e, 0xda, 0xf0, 0x12, 0x82, 0x45, 0x1d, 0xb5,
0xc2, 0x7d, 0x6a, 0x27, 0xf9, 0xb9, 0xc9, 0x9a, 0x09, 0x78,
0x4d, 0xe4, 0x72, 0xa6, 0x06, 0xbf, 0x8b, 0x62, 0x66, 0xdd,
0x30, 0xfd, 0xe2, 0x98, 0x25, 0xb3, 0x10, 0x91, 0x22, 0x88,
0x36, 0xd0, 0x94, 0xce, 0x8f, 0x96, 0xdb, 0xbd, 0xf1, 0xd2,
0x13, 0x5c, 0x83, 0x38, 0x46, 0x40, 0x1e, 0x42, 0xb6, 0xa3,
0xc3, 0x48, 0x7e, 0x6e, 0x6b, 0x3a, 0x28, 0x54, 0xfa, 0x85,
0xba, 0x3d, 0xca, 0x5e, 0x9b, 0x9f, 0x0a, 0x15, 0x79, 0x2b,
0x4e, 0xd4, 0xe5, 0xac, 0x73, 0xf3, 0xa7, 0x57, 0x07, 0x70,
0xc0, 0xf7, 0x8c, 0x80, 0x63, 0x0d, 0x67, 0x4a, 0xde, 0xed,
0x31, 0xc5, 0xfe, 0x18, 0xe3, 0xa5, 0x99, 0x77, 0x26, 0xb8,
0xb4, 0x7c, 0x11, 0x44, 0x92, 0xd9, 0x23, 0x20, 0x89, 0x2e,
0x37, 0x3f, 0xd1, 0x5b, 0x95, 0xbc, 0xcf, 0xcd, 0x90, 0x87,
0x97, 0xb2, 0xdc, 0xfc, 0xbe, 0x61, 0xf2, 0x56, 0xd3, 0xab,
0x14, 0x2a, 0x5d, 0x9e, 0x84, 0x3c, 0x39, 0x53, 0x47, 0x6d,
0x41, 0xa2, 0x1f, 0x2d, 0x43, 0xd8, 0xb7, 0x7b, 0xa4, 0x76,
0xc4, 0x17, 0x49, 0xec, 0x7f, 0x0c, 0x6f, 0xf6, 0x6c, 0xa1,
0x3b, 0x52, 0x29, 0x9d, 0x55, 0xaa, 0xfb, 0x60, 0x86, 0xb1,
0xbb, 0xcc, 0x3e, 0x5a, 0xcb, 0x59, 0x5f, 0xb0, 0x9c, 0xa9,
0xa0, 0x51, 0x0b, 0xf5, 0x16, 0xeb, 0x7a, 0x75, 0x2c, 0xd7,
0x4f, 0xae, 0xd5, 0xe9, 0xe6, 0xe7, 0xad, 0xe8, 0x74, 0xd6,
0xf4, 0xea, 0xa8, 0x50, 0x58, 0xaf
};
#else
static const unsigned char gf_mul_table_base[] = {
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x02, 0x03,
0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d,
0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x20, 0x21,
0x22, 0x23, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x2a, 0x2b,
0x2c, 0x2d, 0x2e, 0x2f, 0x30, 0x31, 0x32, 0x33, 0x34, 0x35,
0x36, 0x37, 0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f,
0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47, 0x48, 0x49,
0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f, 0x50, 0x51, 0x52, 0x53,
0x54, 0x55, 0x56, 0x57, 0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d,
0x5e, 0x5f, 0x60, 0x61, 0x62, 0x63, 0x64, 0x65, 0x66, 0x67,
0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f, 0x70, 0x71,
0x72, 0x73, 0x74, 0x75, 0x76, 0x77, 0x78, 0x79, 0x7a, 0x7b,
0x7c, 0x7d, 0x7e, 0x7f, 0x80, 0x81, 0x82, 0x83, 0x84, 0x85,
0x86, 0x87, 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f,
0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97, 0x98, 0x99,
0x9a, 0x9b, 0x9c, 0x9d, 0x9e, 0x9f, 0xa0, 0xa1, 0xa2, 0xa3,
0xa4, 0xa5, 0xa6, 0xa7, 0xa8, 0xa9, 0xaa, 0xab, 0xac, 0xad,
0xae, 0xaf, 0xb0, 0xb1, 0xb2, 0xb3, 0xb4, 0xb5, 0xb6, 0xb7,
0xb8, 0xb9, 0xba, 0xbb, 0xbc, 0xbd, 0xbe, 0xbf, 0xc0, 0xc1,
0xc2, 0xc3, 0xc4, 0xc5, 0xc6, 0xc7, 0xc8, 0xc9, 0xca, 0xcb,
0xcc, 0xcd, 0xce, 0xcf, 0xd0, 0xd1, 0xd2, 0xd3, 0xd4, 0xd5,
0xd6, 0xd7, 0xd8, 0xd9, 0xda, 0xdb, 0xdc, 0xdd, 0xde, 0xdf,
0xe0, 0xe1, 0xe2, 0xe3, 0xe4, 0xe5, 0xe6, 0xe7, 0xe8, 0xe9,
0xea, 0xeb, 0xec, 0xed, 0xee, 0xef, 0xf0, 0xf1, 0xf2, 0xf3,
0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd,
0xfe, 0xff, 0x00, 0x02, 0x04, 0x06, 0x08, 0x0a, 0x0c, 0x0e,
0x10, 0x12, 0x14, 0x16, 0x18, 0x1a, 0x1c, 0x1e, 0x20, 0x22,
0x24, 0x26, 0x28, 0x2a, 0x2c, 0x2e, 0x30, 0x32, 0x34, 0x36,
0x38, 0x3a, 0x3c, 0x3e, 0x40, 0x42, 0x44, 0x46, 0x48, 0x4a,
0x4c, 0x4e, 0x50, 0x52, 0x54, 0x56, 0x58, 0x5a, 0x5c, 0x5e,
0x60, 0x62, 0x64, 0x66, 0x68, 0x6a, 0x6c, 0x6e, 0x70, 0x72,
0x74, 0x76, 0x78, 0x7a, 0x7c, 0x7e, 0x80, 0x82, 0x84, 0x86,
0x88, 0x8a, 0x8c, 0x8e, 0x90, 0x92, 0x94, 0x96, 0x98, 0x9a,
0x9c, 0x9e, 0xa0, 0xa2, 0xa4, 0xa6, 0xa8, 0xaa, 0xac, 0xae,
0xb0, 0xb2, 0xb4, 0xb6, 0xb8, 0xba, 0xbc, 0xbe, 0xc0, 0xc2,
0xc4, 0xc6, 0xc8, 0xca, 0xcc, 0xce, 0xd0, 0xd2, 0xd4, 0xd6,
0xd8, 0xda, 0xdc, 0xde, 0xe0, 0xe2, 0xe4, 0xe6, 0xe8, 0xea,
0xec, 0xee, 0xf0, 0xf2, 0xf4, 0xf6, 0xf8, 0xfa, 0xfc, 0xfe,
0x1d, 0x1f, 0x19, 0x1b, 0x15, 0x17, 0x11, 0x13, 0x0d, 0x0f,
0x09, 0x0b, 0x05, 0x07, 0x01, 0x03, 0x3d, 0x3f, 0x39, 0x3b,
0x35, 0x37, 0x31, 0x33, 0x2d, 0x2f, 0x29, 0x2b, 0x25, 0x27,
0x21, 0x23, 0x5d, 0x5f, 0x59, 0x5b, 0x55, 0x57, 0x51, 0x53,
0x4d, 0x4f, 0x49, 0x4b, 0x45, 0x47, 0x41, 0x43, 0x7d, 0x7f,
0x79, 0x7b, 0x75, 0x77, 0x71, 0x73, 0x6d, 0x6f, 0x69, 0x6b,
0x65, 0x67, 0x61, 0x63, 0x9d, 0x9f, 0x99, 0x9b, 0x95, 0x97,
0x91, 0x93, 0x8d, 0x8f, 0x89, 0x8b, 0x85, 0x87, 0x81, 0x83,
0xbd, 0xbf, 0xb9, 0xbb, 0xb5, 0xb7, 0xb1, 0xb3, 0xad, 0xaf,
0xa9, 0xab, 0xa5, 0xa7, 0xa1, 0xa3, 0xdd, 0xdf, 0xd9, 0xdb,
0xd5, 0xd7, 0xd1, 0xd3, 0xcd, 0xcf, 0xc9, 0xcb, 0xc5, 0xc7,
0xc1, 0xc3, 0xfd, 0xff, 0xf9, 0xfb, 0xf5, 0xf7, 0xf1, 0xf3,
0xed, 0xef, 0xe9, 0xeb, 0xe5, 0xe7, 0xe1, 0xe3, 0x00, 0x03,
0x06, 0x05, 0x0c, 0x0f, 0x0a, 0x09, 0x18, 0x1b, 0x1e, 0x1d,
0x14, 0x17, 0x12, 0x11, 0x30, 0x33, 0x36, 0x35, 0x3c, 0x3f,
0x3a, 0x39, 0x28, 0x2b, 0x2e, 0x2d, 0x24, 0x27, 0x22, 0x21,
0x60, 0x63, 0x66, 0x65, 0x6c, 0x6f, 0x6a, 0x69, 0x78, 0x7b,
0x7e, 0x7d, 0x74, 0x77, 0x72, 0x71, 0x50, 0x53, 0x56, 0x55,
0x5c, 0x5f, 0x5a, 0x59, 0x48, 0x4b, 0x4e, 0x4d, 0x44, 0x47,
0x42, 0x41, 0xc0, 0xc3, 0xc6, 0xc5, 0xcc, 0xcf, 0xca, 0xc9,
0xd8, 0xdb, 0xde, 0xdd, 0xd4, 0xd7, 0xd2, 0xd1, 0xf0, 0xf3,
0xf6, 0xf5, 0xfc, 0xff, 0xfa, 0xf9, 0xe8, 0xeb, 0xee, 0xed,
0xe4, 0xe7, 0xe2, 0xe1, 0xa0, 0xa3, 0xa6, 0xa5, 0xac, 0xaf,
0xaa, 0xa9, 0xb8, 0xbb, 0xbe, 0xbd, 0xb4, 0xb7, 0xb2, 0xb1,
0x90, 0x93, 0x96, 0x95, 0x9c, 0x9f, 0x9a, 0x99, 0x88, 0x8b,
0x8e, 0x8d, 0x84, 0x87, 0x82, 0x81, 0x9d, 0x9e, 0x9b, 0x98,
0x91, 0x92, 0x97, 0x94, 0x85, 0x86, 0x83, 0x80, 0x89, 0x8a,
0x8f, 0x8c, 0xad, 0xae, 0xab, 0xa8, 0xa1, 0xa2, 0xa7, 0xa4,
0xb5, 0xb6, 0xb3, 0xb0, 0xb9, 0xba, 0xbf, 0xbc, 0xfd, 0xfe,
0xfb, 0xf8, 0xf1, 0xf2, 0xf7, 0xf4, 0xe5, 0xe6, 0xe3, 0xe0,
0xe9, 0xea, 0xef, 0xec, 0xcd, 0xce, 0xcb, 0xc8, 0xc1, 0xc2,
0xc7, 0xc4, 0xd5, 0xd6, 0xd3, 0xd0, 0xd9, 0xda, 0xdf, 0xdc,
0x5d, 0x5e, 0x5b, 0x58, 0x51, 0x52, 0x57, 0x54, 0x45, 0x46,
0x43, 0x40, 0x49, 0x4a, 0x4f, 0x4c, 0x6d, 0x6e, 0x6b, 0x68,
0x61, 0x62, 0x67, 0x64, 0x75, 0x76, 0x73, 0x70, 0x79, 0x7a,
0x7f, 0x7c, 0x3d, 0x3e, 0x3b, 0x38, 0x31, 0x32, 0x37, 0x34,
0x25, 0x26, 0x23, 0x20, 0x29, 0x2a, 0x2f, 0x2c, 0x0d, 0x0e,
0x0b, 0x08, 0x01, 0x02, 0x07, 0x04, 0x15, 0x16, 0x13, 0x10,
0x19, 0x1a, 0x1f, 0x1c, 0x00, 0x04, 0x08, 0x0c, 0x10, 0x14,
0x18, 0x1c, 0x20, 0x24, 0x28, 0x2c, 0x30, 0x34, 0x38, 0x3c,
0x40, 0x44, 0x48, 0x4c, 0x50, 0x54, 0x58, 0x5c, 0x60, 0x64,
0x68, 0x6c, 0x70, 0x74, 0x78, 0x7c, 0x80, 0x84, 0x88, 0x8c,
0x90, 0x94, 0x98, 0x9c, 0xa0, 0xa4, 0xa8, 0xac, 0xb0, 0xb4,
0xb8, 0xbc, 0xc0, 0xc4, 0xc8, 0xcc, 0xd0, 0xd4, 0xd8, 0xdc,
0xe0, 0xe4, 0xe8, 0xec, 0xf0, 0xf4, 0xf8, 0xfc, 0x1d, 0x19,
0x15, 0x11, 0x0d, 0x09, 0x05, 0x01, 0x3d, 0x39, 0x35, 0x31,
0x2d, 0x29, 0x25, 0x21, 0x5d, 0x59, 0x55, 0x51, 0x4d, 0x49,
0x45, 0x41, 0x7d, 0x79, 0x75, 0x71, 0x6d, 0x69, 0x65, 0x61,
0x9d, 0x99, 0x95, 0x91, 0x8d, 0x89, 0x85, 0x81, 0xbd, 0xb9,
0xb5, 0xb1, 0xad, 0xa9, 0xa5, 0xa1, 0xdd, 0xd9, 0xd5, 0xd1,
0xcd, 0xc9, 0xc5, 0xc1, 0xfd, 0xf9, 0xf5, 0xf1, 0xed, 0xe9,
0xe5, 0xe1, 0x3a, 0x3e, 0x32, 0x36, 0x2a, 0x2e, 0x22, 0x26,
0x1a, 0x1e, 0x12, 0x16, 0x0a, 0x0e, 0x02, 0x06, 0x7a, 0x7e,
0x72, 0x76, 0x6a, 0x6e, 0x62, 0x66, 0x5a, 0x5e, 0x52, 0x56,
0x4a, 0x4e, 0x42, 0x46, 0xba, 0xbe, 0xb2, 0xb6, 0xaa, 0xae,
0xa2, 0xa6, 0x9a, 0x9e, 0x92, 0x96, 0x8a, 0x8e, 0x82, 0x86,
0xfa, 0xfe, 0xf2, 0xf6, 0xea, 0xee, 0xe2, 0xe6, 0xda, 0xde,
0xd2, 0xd6, 0xca, 0xce, 0xc2, 0xc6, 0x27, 0x23, 0x2f, 0x2b,
0x37, 0x33, 0x3f, 0x3b, 0x07, 0x03, 0x0f, 0x0b, 0x17, 0x13,
0x1f, 0x1b, 0x67, 0x63, 0x6f, 0x6b, 0x77, 0x73, 0x7f, 0x7b,
0x47, 0x43, 0x4f, 0x4b, 0x57, 0x53, 0x5f, 0x5b, 0xa7, 0xa3,
0xaf, 0xab, 0xb7, 0xb3, 0xbf, 0xbb, 0x87, 0x83, 0x8f, 0x8b,
0x97, 0x93, 0x9f, 0x9b, 0xe7, 0xe3, 0xef, 0xeb, 0xf7, 0xf3,
0xff, 0xfb, 0xc7, 0xc3, 0xcf, 0xcb, 0xd7, 0xd3, 0xdf, 0xdb,
0x00, 0x05, 0x0a, 0x0f, 0x14, 0x11, 0x1e, 0x1b, 0x28, 0x2d,
0x22, 0x27, 0x3c, 0x39, 0x36, 0x33, 0x50, 0x55, 0x5a, 0x5f,
0x44, 0x41, 0x4e, 0x4b, 0x78, 0x7d, 0x72, 0x77, 0x6c, 0x69,
0x66, 0x63, 0xa0, 0xa5, 0xaa, 0xaf, 0xb4, 0xb1, 0xbe, 0xbb,
0x88, 0x8d, 0x82, 0x87, 0x9c, 0x99, 0x96, 0x93, 0xf0, 0xf5,
0xfa, 0xff, 0xe4, 0xe1, 0xee, 0xeb, 0xd8, 0xdd, 0xd2, 0xd7,
0xcc, 0xc9, 0xc6, 0xc3, 0x5d, 0x58, 0x57, 0x52, 0x49, 0x4c,
0x43, 0x46, 0x75, 0x70, 0x7f, 0x7a, 0x61, 0x64, 0x6b, 0x6e,
0x0d, 0x08, 0x07, 0x02, 0x19, 0x1c, 0x13, 0x16, 0x25, 0x20,
0x2f, 0x2a, 0x31, 0x34, 0x3b, 0x3e, 0xfd, 0xf8, 0xf7, 0xf2,
0xe9, 0xec, 0xe3, 0xe6, 0xd5, 0xd0, 0xdf, 0xda, 0xc1, 0xc4,
0xcb, 0xce, 0xad, 0xa8, 0xa7, 0xa2, 0xb9, 0xbc, 0xb3, 0xb6,
0x85, 0x80, 0x8f, 0x8a, 0x91, 0x94, 0x9b, 0x9e, 0xba, 0xbf,
0xb0, 0xb5, 0xae, 0xab, 0xa4, 0xa1, 0x92, 0x97, 0x98, 0x9d,
0x86, 0x83, 0x8c, 0x89, 0xea, 0xef, 0xe0, 0xe5, 0xfe, 0xfb,
0xf4, 0xf1, 0xc2, 0xc7, 0xc8, 0xcd, 0xd6, 0xd3, 0xdc, 0xd9,
0x1a, 0x1f, 0x10, 0x15, 0x0e, 0x0b, 0x04, 0x01, 0x32, 0x37,
0x38, 0x3d, 0x26, 0x23, 0x2c, 0x29, 0x4a, 0x4f, 0x40, 0x45,
0x5e, 0x5b, 0x54, 0x51, 0x62, 0x67, 0x68, 0x6d, 0x76, 0x73,
0x7c, 0x79, 0xe7, 0xe2, 0xed, 0xe8, 0xf3, 0xf6, 0xf9, 0xfc,
0xcf, 0xca, 0xc5, 0xc0, 0xdb, 0xde, 0xd1, 0xd4, 0xb7, 0xb2,
0xbd, 0xb8, 0xa3, 0xa6, 0xa9, 0xac, 0x9f, 0x9a, 0x95, 0x90,
0x8b, 0x8e, 0x81, 0x84, 0x47, 0x42, 0x4d, 0x48, 0x53, 0x56,
0x59, 0x5c, 0x6f, 0x6a, 0x65, 0x60, 0x7b, 0x7e, 0x71, 0x74,
0x17, 0x12, 0x1d, 0x18, 0x03, 0x06, 0x09, 0x0c, 0x3f, 0x3a,
0x35, 0x30, 0x2b, 0x2e, 0x21, 0x24, 0x00, 0x06, 0x0c, 0x0a,
0x18, 0x1e, 0x14, 0x12, 0x30, 0x36, 0x3c, 0x3a, 0x28, 0x2e,
0x24, 0x22, 0x60, 0x66, 0x6c, 0x6a, 0x78, 0x7e, 0x74, 0x72,
0x50, 0x56, 0x5c, 0x5a, 0x48, 0x4e, 0x44, 0x42, 0xc0, 0xc6,
0xcc, 0xca, 0xd8, 0xde, 0xd4, 0xd2, 0xf0, 0xf6, 0xfc, 0xfa,
0xe8, 0xee, 0xe4, 0xe2, 0xa0, 0xa6, 0xac, 0xaa, 0xb8, 0xbe,
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