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zlib.10692
zlib-power8-fate325307.patch
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File zlib-power8-fate325307.patch of Package zlib.10692
From 25cd259b18b2dc7192837594556644a300dbf5d1 Mon Sep 17 00:00:00 2001 From: Daniel Black <daniel@linux.vnet.ibm.com> Date: Wed, 10 Jan 2018 10:50:39 +1100 Subject: [PATCH 1/8] Add Power8+ optimized crc32-vpmsum from https://github.com/antonblanchard/crc32-vpmsum/ This is the C implementation created by Rogerio Alves <rogealve@br.ibm.com> --- power8-crc/clang_workaround.h | 69 +++ power8-crc/crc32_constants.h | 1206 +++++++++++++++++++++++++++++++++++++++++ power8-crc/vec_crc32.c | 672 +++++++++++++++++++++++ 3 files changed, 1947 insertions(+) create mode 100644 power8-crc/clang_workaround.h create mode 100644 power8-crc/crc32_constants.h create mode 100644 power8-crc/vec_crc32.c Index: zlib-1.2.11/contrib/power8-crc/clang_workaround.h =================================================================== --- /dev/null +++ zlib-1.2.11/contrib/power8-crc/clang_workaround.h @@ -0,0 +1,82 @@ +#ifndef CLANG_WORKAROUNDS_H +#define CLANG_WORKAROUNDS_H + +/* + * These stubs fix clang incompatibilities with GCC builtins. + */ + +#ifndef __builtin_crypto_vpmsumw +#define __builtin_crypto_vpmsumw __builtin_crypto_vpmsumb +#endif +#ifndef __builtin_crypto_vpmsumd +#define __builtin_crypto_vpmsumd __builtin_crypto_vpmsumb +#endif + +static inline +__vector unsigned long long __attribute__((overloadable)) +vec_ld(int __a, const __vector unsigned long long* __b) +{ + return (__vector unsigned long long)__builtin_altivec_lvx(__a, __b); +} + +/* + * GCC __builtin_pack_vector_int128 returns a vector __int128_t but Clang + * does not recognize this type. On GCC this builtin is translated to a + * xxpermdi instruction that only moves the registers __a, __b instead generates + * a load. + * + * Clang has vec_xxpermdi intrinsics. It was implemented in 4.0.0. + */ +static inline +__vector unsigned long long __builtin_pack_vector (unsigned long __a, + unsigned long __b) +{ + #if defined(__BIG_ENDIAN__) + __vector unsigned long long __v = {__a, __b}; + #else + __vector unsigned long long __v = {__b, __a}; + #endif + return __v; +} + +#ifndef vec_xxpermdi + +static inline +unsigned long __builtin_unpack_vector (__vector unsigned long long __v, + int __o) +{ + return __v[__o]; +} + +#if defined(__BIG_ENDIAN__) +#define __builtin_unpack_vector_0(a) __builtin_unpack_vector ((a), 0) +#define __builtin_unpack_vector_1(a) __builtin_unpack_vector ((a), 1) +#else +#define __builtin_unpack_vector_0(a) __builtin_unpack_vector ((a), 1) +#define __builtin_unpack_vector_1(a) __builtin_unpack_vector ((a), 0) +#endif + +#else + +static inline +unsigned long __builtin_unpack_vector_0 (__vector unsigned long long __v) +{ + #if defined(__BIG_ENDIAN__) + return vec_xxpermdi(__v, __v, 0x0)[1]; + #else + return vec_xxpermdi(__v, __v, 0x0)[0]; + #endif +} + +static inline +unsigned long __builtin_unpack_vector_1 (__vector unsigned long long __v) +{ + #if defined(__BIG_ENDIAN__) + return vec_xxpermdi(__v, __v, 0x3)[1]; + #else + return vec_xxpermdi(__v, __v, 0x3)[0]; + #endif +} +#endif /* vec_xxpermdi */ + +#endif Index: zlib-1.2.11/contrib/power8-crc/crc32_constants.h =================================================================== --- /dev/null +++ zlib-1.2.11/contrib/power8-crc/crc32_constants.h @@ -0,0 +1,1206 @@ +/* +* +* THIS FILE IS GENERATED WITH +./crc32_constants -c -r -x 0x04C11DB7 + +* This is from https://github.com/antonblanchard/crc32-vpmsum/ +* DO NOT MODIFY IT MANUALLY! +* +*/ + +#define CRC 0x4c11db7 +#define CRC_XOR +#define REFLECT +#define MAX_SIZE 32768 + +#ifndef __ASSEMBLER__ +#ifdef CRC_TABLE +static const unsigned int crc_table[] = { + 0x00000000, 0x77073096, 0xee0e612c, 0x990951ba, + 0x076dc419, 0x706af48f, 0xe963a535, 0x9e6495a3, + 0x0edb8832, 0x79dcb8a4, 0xe0d5e91e, 0x97d2d988, + 0x09b64c2b, 0x7eb17cbd, 0xe7b82d07, 0x90bf1d91, + 0x1db71064, 0x6ab020f2, 0xf3b97148, 0x84be41de, + 0x1adad47d, 0x6ddde4eb, 0xf4d4b551, 0x83d385c7, + 0x136c9856, 0x646ba8c0, 0xfd62f97a, 0x8a65c9ec, + 0x14015c4f, 0x63066cd9, 0xfa0f3d63, 0x8d080df5, + 0x3b6e20c8, 0x4c69105e, 0xd56041e4, 0xa2677172, + 0x3c03e4d1, 0x4b04d447, 0xd20d85fd, 0xa50ab56b, + 0x35b5a8fa, 0x42b2986c, 0xdbbbc9d6, 0xacbcf940, + 0x32d86ce3, 0x45df5c75, 0xdcd60dcf, 0xabd13d59, + 0x26d930ac, 0x51de003a, 0xc8d75180, 0xbfd06116, + 0x21b4f4b5, 0x56b3c423, 0xcfba9599, 0xb8bda50f, + 0x2802b89e, 0x5f058808, 0xc60cd9b2, 0xb10be924, + 0x2f6f7c87, 0x58684c11, 0xc1611dab, 0xb6662d3d, + 0x76dc4190, 0x01db7106, 0x98d220bc, 0xefd5102a, + 0x71b18589, 0x06b6b51f, 0x9fbfe4a5, 0xe8b8d433, + 0x7807c9a2, 0x0f00f934, 0x9609a88e, 0xe10e9818, + 0x7f6a0dbb, 0x086d3d2d, 0x91646c97, 0xe6635c01, + 0x6b6b51f4, 0x1c6c6162, 0x856530d8, 0xf262004e, + 0x6c0695ed, 0x1b01a57b, 0x8208f4c1, 0xf50fc457, + 0x65b0d9c6, 0x12b7e950, 0x8bbeb8ea, 0xfcb9887c, + 0x62dd1ddf, 0x15da2d49, 0x8cd37cf3, 0xfbd44c65, + 0x4db26158, 0x3ab551ce, 0xa3bc0074, 0xd4bb30e2, + 0x4adfa541, 0x3dd895d7, 0xa4d1c46d, 0xd3d6f4fb, + 0x4369e96a, 0x346ed9fc, 0xad678846, 0xda60b8d0, + 0x44042d73, 0x33031de5, 0xaa0a4c5f, 0xdd0d7cc9, + 0x5005713c, 0x270241aa, 0xbe0b1010, 0xc90c2086, + 0x5768b525, 0x206f85b3, 0xb966d409, 0xce61e49f, + 0x5edef90e, 0x29d9c998, 0xb0d09822, 0xc7d7a8b4, + 0x59b33d17, 0x2eb40d81, 0xb7bd5c3b, 0xc0ba6cad, + 0xedb88320, 0x9abfb3b6, 0x03b6e20c, 0x74b1d29a, + 0xead54739, 0x9dd277af, 0x04db2615, 0x73dc1683, + 0xe3630b12, 0x94643b84, 0x0d6d6a3e, 0x7a6a5aa8, + 0xe40ecf0b, 0x9309ff9d, 0x0a00ae27, 0x7d079eb1, + 0xf00f9344, 0x8708a3d2, 0x1e01f268, 0x6906c2fe, + 0xf762575d, 0x806567cb, 0x196c3671, 0x6e6b06e7, + 0xfed41b76, 0x89d32be0, 0x10da7a5a, 0x67dd4acc, + 0xf9b9df6f, 0x8ebeeff9, 0x17b7be43, 0x60b08ed5, + 0xd6d6a3e8, 0xa1d1937e, 0x38d8c2c4, 0x4fdff252, + 0xd1bb67f1, 0xa6bc5767, 0x3fb506dd, 0x48b2364b, + 0xd80d2bda, 0xaf0a1b4c, 0x36034af6, 0x41047a60, + 0xdf60efc3, 0xa867df55, 0x316e8eef, 0x4669be79, + 0xcb61b38c, 0xbc66831a, 0x256fd2a0, 0x5268e236, + 0xcc0c7795, 0xbb0b4703, 0x220216b9, 0x5505262f, + 0xc5ba3bbe, 0xb2bd0b28, 0x2bb45a92, 0x5cb36a04, + 0xc2d7ffa7, 0xb5d0cf31, 0x2cd99e8b, 0x5bdeae1d, + 0x9b64c2b0, 0xec63f226, 0x756aa39c, 0x026d930a, + 0x9c0906a9, 0xeb0e363f, 0x72076785, 0x05005713, + 0x95bf4a82, 0xe2b87a14, 0x7bb12bae, 0x0cb61b38, + 0x92d28e9b, 0xe5d5be0d, 0x7cdcefb7, 0x0bdbdf21, + 0x86d3d2d4, 0xf1d4e242, 0x68ddb3f8, 0x1fda836e, + 0x81be16cd, 0xf6b9265b, 0x6fb077e1, 0x18b74777, + 0x88085ae6, 0xff0f6a70, 0x66063bca, 0x11010b5c, + 0x8f659eff, 0xf862ae69, 0x616bffd3, 0x166ccf45, + 0xa00ae278, 0xd70dd2ee, 0x4e048354, 0x3903b3c2, + 0xa7672661, 0xd06016f7, 0x4969474d, 0x3e6e77db, + 0xaed16a4a, 0xd9d65adc, 0x40df0b66, 0x37d83bf0, + 0xa9bcae53, 0xdebb9ec5, 0x47b2cf7f, 0x30b5ffe9, + 0xbdbdf21c, 0xcabac28a, 0x53b39330, 0x24b4a3a6, + 0xbad03605, 0xcdd70693, 0x54de5729, 0x23d967bf, + 0xb3667a2e, 0xc4614ab8, 0x5d681b02, 0x2a6f2b94, + 0xb40bbe37, 0xc30c8ea1, 0x5a05df1b, 0x2d02ef8d,}; + +#endif /* CRC_TABLE */ +#ifdef POWER8_INTRINSICS + +/* Constants */ + +/* Reduce 262144 kbits to 1024 bits */ +static const __vector unsigned long long vcrc_const[255] + __attribute__((aligned (16))) = { +#ifdef __LITTLE_ENDIAN__ + /* x^261120 mod p(x)` << 1, x^261184 mod p(x)` << 1 */ + { 0x0000000099ea94a8, 0x00000001651797d2 }, + /* x^260096 mod p(x)` << 1, x^260160 mod p(x)` << 1 */ + { 0x00000000945a8420, 0x0000000021e0d56c }, + /* x^259072 mod p(x)` << 1, x^259136 mod p(x)` << 1 */ + { 0x0000000030762706, 0x000000000f95ecaa }, + /* x^258048 mod p(x)` << 1, x^258112 mod p(x)` << 1 */ + { 0x00000001a52fc582, 0x00000001ebd224ac }, + /* x^257024 mod p(x)` << 1, x^257088 mod p(x)` << 1 */ + { 0x00000001a4a7167a, 0x000000000ccb97ca }, + /* x^256000 mod p(x)` << 1, x^256064 mod p(x)` << 1 */ + { 0x000000000c18249a, 0x00000001006ec8a8 }, + /* x^254976 mod p(x)` << 1, x^255040 mod p(x)` << 1 */ + { 0x00000000a924ae7c, 0x000000014f58f196 }, + /* x^253952 mod p(x)` << 1, x^254016 mod p(x)` << 1 */ + { 0x00000001e12ccc12, 0x00000001a7192ca6 }, + /* x^252928 mod p(x)` << 1, x^252992 mod p(x)` << 1 */ + { 0x00000000a0b9d4ac, 0x000000019a64bab2 }, + /* x^251904 mod p(x)` << 1, x^251968 mod p(x)` << 1 */ + { 0x0000000095e8ddfe, 0x0000000014f4ed2e }, + /* x^250880 mod p(x)` << 1, x^250944 mod p(x)` << 1 */ + { 0x00000000233fddc4, 0x000000011092b6a2 }, + /* x^249856 mod p(x)` << 1, x^249920 mod p(x)` << 1 */ + { 0x00000001b4529b62, 0x00000000c8a1629c }, + /* x^248832 mod p(x)` << 1, x^248896 mod p(x)` << 1 */ + { 0x00000001a7fa0e64, 0x000000017bf32e8e }, + /* x^247808 mod p(x)` << 1, x^247872 mod p(x)` << 1 */ + { 0x00000001b5334592, 0x00000001f8cc6582 }, + /* x^246784 mod p(x)` << 1, x^246848 mod p(x)` << 1 */ + { 0x000000011f8ee1b4, 0x000000008631ddf0 }, + /* x^245760 mod p(x)` << 1, x^245824 mod p(x)` << 1 */ + { 0x000000006252e632, 0x000000007e5a76d0 }, + /* x^244736 mod p(x)` << 1, x^244800 mod p(x)` << 1 */ + { 0x00000000ab973e84, 0x000000002b09b31c }, + /* x^243712 mod p(x)` << 1, x^243776 mod p(x)` << 1 */ + { 0x000000007734f5ec, 0x00000001b2df1f84 }, + /* x^242688 mod p(x)` << 1, x^242752 mod p(x)` << 1 */ + { 0x000000007c547798, 0x00000001d6f56afc }, + /* x^241664 mod p(x)` << 1, x^241728 mod p(x)` << 1 */ + { 0x000000007ec40210, 0x00000001b9b5e70c }, + /* x^240640 mod p(x)` << 1, x^240704 mod p(x)` << 1 */ + { 0x00000001ab1695a8, 0x0000000034b626d2 }, + /* x^239616 mod p(x)` << 1, x^239680 mod p(x)` << 1 */ + { 0x0000000090494bba, 0x000000014c53479a }, + /* x^238592 mod p(x)` << 1, x^238656 mod p(x)` << 1 */ + { 0x00000001123fb816, 0x00000001a6d179a4 }, + /* x^237568 mod p(x)` << 1, x^237632 mod p(x)` << 1 */ + { 0x00000001e188c74c, 0x000000015abd16b4 }, + /* x^236544 mod p(x)` << 1, x^236608 mod p(x)` << 1 */ + { 0x00000001c2d3451c, 0x00000000018f9852 }, + /* x^235520 mod p(x)` << 1, x^235584 mod p(x)` << 1 */ + { 0x00000000f55cf1ca, 0x000000001fb3084a }, + /* x^234496 mod p(x)` << 1, x^234560 mod p(x)` << 1 */ + { 0x00000001a0531540, 0x00000000c53dfb04 }, + /* x^233472 mod p(x)` << 1, x^233536 mod p(x)` << 1 */ + { 0x0000000132cd7ebc, 0x00000000e10c9ad6 }, + /* x^232448 mod p(x)` << 1, x^232512 mod p(x)` << 1 */ + { 0x0000000073ab7f36, 0x0000000025aa994a }, + /* x^231424 mod p(x)` << 1, x^231488 mod p(x)` << 1 */ + { 0x0000000041aed1c2, 0x00000000fa3a74c4 }, + /* x^230400 mod p(x)` << 1, x^230464 mod p(x)` << 1 */ + { 0x0000000136c53800, 0x0000000033eb3f40 }, + /* x^229376 mod p(x)` << 1, x^229440 mod p(x)` << 1 */ + { 0x0000000126835a30, 0x000000017193f296 }, + /* x^228352 mod p(x)` << 1, x^228416 mod p(x)` << 1 */ + { 0x000000006241b502, 0x0000000043f6c86a }, + /* x^227328 mod p(x)` << 1, x^227392 mod p(x)` << 1 */ + { 0x00000000d5196ad4, 0x000000016b513ec6 }, + /* x^226304 mod p(x)` << 1, x^226368 mod p(x)` << 1 */ + { 0x000000009cfa769a, 0x00000000c8f25b4e }, + /* x^225280 mod p(x)` << 1, x^225344 mod p(x)` << 1 */ + { 0x00000000920e5df4, 0x00000001a45048ec }, + /* x^224256 mod p(x)` << 1, x^224320 mod p(x)` << 1 */ + { 0x0000000169dc310e, 0x000000000c441004 }, + /* x^223232 mod p(x)` << 1, x^223296 mod p(x)` << 1 */ + { 0x0000000009fc331c, 0x000000000e17cad6 }, + /* x^222208 mod p(x)` << 1, x^222272 mod p(x)` << 1 */ + { 0x000000010d94a81e, 0x00000001253ae964 }, + /* x^221184 mod p(x)` << 1, x^221248 mod p(x)` << 1 */ + { 0x0000000027a20ab2, 0x00000001d7c88ebc }, + /* x^220160 mod p(x)` << 1, x^220224 mod p(x)` << 1 */ + { 0x0000000114f87504, 0x00000001e7ca913a }, + /* x^219136 mod p(x)` << 1, x^219200 mod p(x)` << 1 */ + { 0x000000004b076d96, 0x0000000033ed078a }, + /* x^218112 mod p(x)` << 1, x^218176 mod p(x)` << 1 */ + { 0x00000000da4d1e74, 0x00000000e1839c78 }, + /* x^217088 mod p(x)` << 1, x^217152 mod p(x)` << 1 */ + { 0x000000001b81f672, 0x00000001322b267e }, + /* x^216064 mod p(x)` << 1, x^216128 mod p(x)` << 1 */ + { 0x000000009367c988, 0x00000000638231b6 }, + /* x^215040 mod p(x)` << 1, x^215104 mod p(x)` << 1 */ + { 0x00000001717214ca, 0x00000001ee7f16f4 }, + /* x^214016 mod p(x)` << 1, x^214080 mod p(x)` << 1 */ + { 0x000000009f47d820, 0x0000000117d9924a }, + /* x^212992 mod p(x)` << 1, x^213056 mod p(x)` << 1 */ + { 0x000000010d9a47d2, 0x00000000e1a9e0c4 }, + /* x^211968 mod p(x)` << 1, x^212032 mod p(x)` << 1 */ + { 0x00000000a696c58c, 0x00000001403731dc }, + /* x^210944 mod p(x)` << 1, x^211008 mod p(x)` << 1 */ + { 0x000000002aa28ec6, 0x00000001a5ea9682 }, + /* x^209920 mod p(x)` << 1, x^209984 mod p(x)` << 1 */ + { 0x00000001fe18fd9a, 0x0000000101c5c578 }, + /* x^208896 mod p(x)` << 1, x^208960 mod p(x)` << 1 */ + { 0x000000019d4fc1ae, 0x00000000dddf6494 }, + /* x^207872 mod p(x)` << 1, x^207936 mod p(x)` << 1 */ + { 0x00000001ba0e3dea, 0x00000000f1c3db28 }, + /* x^206848 mod p(x)` << 1, x^206912 mod p(x)` << 1 */ + { 0x0000000074b59a5e, 0x000000013112fb9c }, + /* x^205824 mod p(x)` << 1, x^205888 mod p(x)` << 1 */ + { 0x00000000f2b5ea98, 0x00000000b680b906 }, + /* x^204800 mod p(x)` << 1, x^204864 mod p(x)` << 1 */ + { 0x0000000187132676, 0x000000001a282932 }, + /* x^203776 mod p(x)` << 1, x^203840 mod p(x)` << 1 */ + { 0x000000010a8c6ad4, 0x0000000089406e7e }, + /* x^202752 mod p(x)` << 1, x^202816 mod p(x)` << 1 */ + { 0x00000001e21dfe70, 0x00000001def6be8c }, + /* x^201728 mod p(x)` << 1, x^201792 mod p(x)` << 1 */ + { 0x00000001da0050e4, 0x0000000075258728 }, + /* x^200704 mod p(x)` << 1, x^200768 mod p(x)` << 1 */ + { 0x00000000772172ae, 0x000000019536090a }, + /* x^199680 mod p(x)` << 1, x^199744 mod p(x)` << 1 */ + { 0x00000000e47724aa, 0x00000000f2455bfc }, + /* x^198656 mod p(x)` << 1, x^198720 mod p(x)` << 1 */ + { 0x000000003cd63ac4, 0x000000018c40baf4 }, + /* x^197632 mod p(x)` << 1, x^197696 mod p(x)` << 1 */ + { 0x00000001bf47d352, 0x000000004cd390d4 }, + /* x^196608 mod p(x)` << 1, x^196672 mod p(x)` << 1 */ + { 0x000000018dc1d708, 0x00000001e4ece95a }, + /* x^195584 mod p(x)` << 1, x^195648 mod p(x)` << 1 */ + { 0x000000002d4620a4, 0x000000001a3ee918 }, + /* x^194560 mod p(x)` << 1, x^194624 mod p(x)` << 1 */ + { 0x0000000058fd1740, 0x000000007c652fb8 }, + /* x^193536 mod p(x)` << 1, x^193600 mod p(x)` << 1 */ + { 0x00000000dadd9bfc, 0x000000011c67842c }, + /* x^192512 mod p(x)` << 1, x^192576 mod p(x)` << 1 */ + { 0x00000001ea2140be, 0x00000000254f759c }, + /* x^191488 mod p(x)` << 1, x^191552 mod p(x)` << 1 */ + { 0x000000009de128ba, 0x000000007ece94ca }, + /* x^190464 mod p(x)` << 1, x^190528 mod p(x)` << 1 */ + { 0x000000013ac3aa8e, 0x0000000038f258c2 }, + /* x^189440 mod p(x)` << 1, x^189504 mod p(x)` << 1 */ + { 0x0000000099980562, 0x00000001cdf17b00 }, + /* x^188416 mod p(x)` << 1, x^188480 mod p(x)` << 1 */ + { 0x00000001c1579c86, 0x000000011f882c16 }, + /* x^187392 mod p(x)` << 1, x^187456 mod p(x)` << 1 */ + { 0x0000000068dbbf94, 0x0000000100093fc8 }, + /* x^186368 mod p(x)` << 1, x^186432 mod p(x)` << 1 */ + { 0x000000004509fb04, 0x00000001cd684f16 }, + /* x^185344 mod p(x)` << 1, x^185408 mod p(x)` << 1 */ + { 0x00000001202f6398, 0x000000004bc6a70a }, + /* x^184320 mod p(x)` << 1, x^184384 mod p(x)` << 1 */ + { 0x000000013aea243e, 0x000000004fc7e8e4 }, + /* x^183296 mod p(x)` << 1, x^183360 mod p(x)` << 1 */ + { 0x00000001b4052ae6, 0x0000000130103f1c }, + /* x^182272 mod p(x)` << 1, x^182336 mod p(x)` << 1 */ + { 0x00000001cd2a0ae8, 0x0000000111b0024c }, + /* x^181248 mod p(x)` << 1, x^181312 mod p(x)` << 1 */ + { 0x00000001fe4aa8b4, 0x000000010b3079da }, + /* x^180224 mod p(x)` << 1, x^180288 mod p(x)` << 1 */ + { 0x00000001d1559a42, 0x000000010192bcc2 }, + /* x^179200 mod p(x)` << 1, x^179264 mod p(x)` << 1 */ + { 0x00000001f3e05ecc, 0x0000000074838d50 }, + /* x^178176 mod p(x)` << 1, x^178240 mod p(x)` << 1 */ + { 0x0000000104ddd2cc, 0x000000001b20f520 }, + /* x^177152 mod p(x)` << 1, x^177216 mod p(x)` << 1 */ + { 0x000000015393153c, 0x0000000050c3590a }, + /* x^176128 mod p(x)` << 1, x^176192 mod p(x)` << 1 */ + { 0x0000000057e942c6, 0x00000000b41cac8e }, + /* x^175104 mod p(x)` << 1, x^175168 mod p(x)` << 1 */ + { 0x000000012c633850, 0x000000000c72cc78 }, + /* x^174080 mod p(x)` << 1, x^174144 mod p(x)` << 1 */ + { 0x00000000ebcaae4c, 0x0000000030cdb032 }, + /* x^173056 mod p(x)` << 1, x^173120 mod p(x)` << 1 */ + { 0x000000013ee532a6, 0x000000013e09fc32 }, + /* x^172032 mod p(x)` << 1, x^172096 mod p(x)` << 1 */ + { 0x00000001bf0cbc7e, 0x000000001ed624d2 }, + /* x^171008 mod p(x)` << 1, x^171072 mod p(x)` << 1 */ + { 0x00000000d50b7a5a, 0x00000000781aee1a }, + /* x^169984 mod p(x)` << 1, x^170048 mod p(x)` << 1 */ + { 0x0000000002fca6e8, 0x00000001c4d8348c }, + /* x^168960 mod p(x)` << 1, x^169024 mod p(x)` << 1 */ + { 0x000000007af40044, 0x0000000057a40336 }, + /* x^167936 mod p(x)` << 1, x^168000 mod p(x)` << 1 */ + { 0x0000000016178744, 0x0000000085544940 }, + /* x^166912 mod p(x)` << 1, x^166976 mod p(x)` << 1 */ + { 0x000000014c177458, 0x000000019cd21e80 }, + /* x^165888 mod p(x)` << 1, x^165952 mod p(x)` << 1 */ + { 0x000000011b6ddf04, 0x000000013eb95bc0 }, + /* x^164864 mod p(x)` << 1, x^164928 mod p(x)` << 1 */ + { 0x00000001f3e29ccc, 0x00000001dfc9fdfc }, + /* x^163840 mod p(x)` << 1, x^163904 mod p(x)` << 1 */ + { 0x0000000135ae7562, 0x00000000cd028bc2 }, + /* x^162816 mod p(x)` << 1, x^162880 mod p(x)` << 1 */ + { 0x0000000190ef812c, 0x0000000090db8c44 }, + /* x^161792 mod p(x)` << 1, x^161856 mod p(x)` << 1 */ + { 0x0000000067a2c786, 0x000000010010a4ce }, + /* x^160768 mod p(x)` << 1, x^160832 mod p(x)` << 1 */ + { 0x0000000048b9496c, 0x00000001c8f4c72c }, + /* x^159744 mod p(x)` << 1, x^159808 mod p(x)` << 1 */ + { 0x000000015a422de6, 0x000000001c26170c }, + /* x^158720 mod p(x)` << 1, x^158784 mod p(x)` << 1 */ + { 0x00000001ef0e3640, 0x00000000e3fccf68 }, + /* x^157696 mod p(x)` << 1, x^157760 mod p(x)` << 1 */ + { 0x00000001006d2d26, 0x00000000d513ed24 }, + /* x^156672 mod p(x)` << 1, x^156736 mod p(x)` << 1 */ + { 0x00000001170d56d6, 0x00000000141beada }, + /* x^155648 mod p(x)` << 1, x^155712 mod p(x)` << 1 */ + { 0x00000000a5fb613c, 0x000000011071aea0 }, + /* x^154624 mod p(x)` << 1, x^154688 mod p(x)` << 1 */ + { 0x0000000040bbf7fc, 0x000000012e19080a }, + /* x^153600 mod p(x)` << 1, x^153664 mod p(x)` << 1 */ + { 0x000000016ac3a5b2, 0x0000000100ecf826 }, + /* x^152576 mod p(x)` << 1, x^152640 mod p(x)` << 1 */ + { 0x00000000abf16230, 0x0000000069b09412 }, + /* x^151552 mod p(x)` << 1, x^151616 mod p(x)` << 1 */ + { 0x00000001ebe23fac, 0x0000000122297bac }, + /* x^150528 mod p(x)` << 1, x^150592 mod p(x)` << 1 */ + { 0x000000008b6a0894, 0x00000000e9e4b068 }, + /* x^149504 mod p(x)` << 1, x^149568 mod p(x)` << 1 */ + { 0x00000001288ea478, 0x000000004b38651a }, + /* x^148480 mod p(x)` << 1, x^148544 mod p(x)` << 1 */ + { 0x000000016619c442, 0x00000001468360e2 }, + /* x^147456 mod p(x)` << 1, x^147520 mod p(x)` << 1 */ + { 0x0000000086230038, 0x00000000121c2408 }, + /* x^146432 mod p(x)` << 1, x^146496 mod p(x)` << 1 */ + { 0x000000017746a756, 0x00000000da7e7d08 }, + /* x^145408 mod p(x)` << 1, x^145472 mod p(x)` << 1 */ + { 0x0000000191b8f8f8, 0x00000001058d7652 }, + /* x^144384 mod p(x)` << 1, x^144448 mod p(x)` << 1 */ + { 0x000000008e167708, 0x000000014a098a90 }, + /* x^143360 mod p(x)` << 1, x^143424 mod p(x)` << 1 */ + { 0x0000000148b22d54, 0x0000000020dbe72e }, + /* x^142336 mod p(x)` << 1, x^142400 mod p(x)` << 1 */ + { 0x0000000044ba2c3c, 0x000000011e7323e8 }, + /* x^141312 mod p(x)` << 1, x^141376 mod p(x)` << 1 */ + { 0x00000000b54d2b52, 0x00000000d5d4bf94 }, + /* x^140288 mod p(x)` << 1, x^140352 mod p(x)` << 1 */ + { 0x0000000005a4fd8a, 0x0000000199d8746c }, + /* x^139264 mod p(x)` << 1, x^139328 mod p(x)` << 1 */ + { 0x0000000139f9fc46, 0x00000000ce9ca8a0 }, + /* x^138240 mod p(x)` << 1, x^138304 mod p(x)` << 1 */ + { 0x000000015a1fa824, 0x00000000136edece }, + /* x^137216 mod p(x)` << 1, x^137280 mod p(x)` << 1 */ + { 0x000000000a61ae4c, 0x000000019b92a068 }, + /* x^136192 mod p(x)` << 1, x^136256 mod p(x)` << 1 */ + { 0x0000000145e9113e, 0x0000000071d62206 }, + /* x^135168 mod p(x)` << 1, x^135232 mod p(x)` << 1 */ + { 0x000000006a348448, 0x00000000dfc50158 }, + /* x^134144 mod p(x)` << 1, x^134208 mod p(x)` << 1 */ + { 0x000000004d80a08c, 0x00000001517626bc }, + /* x^133120 mod p(x)` << 1, x^133184 mod p(x)` << 1 */ + { 0x000000014b6837a0, 0x0000000148d1e4fa }, + /* x^132096 mod p(x)` << 1, x^132160 mod p(x)` << 1 */ + { 0x000000016896a7fc, 0x0000000094d8266e }, + /* x^131072 mod p(x)` << 1, x^131136 mod p(x)` << 1 */ + { 0x000000014f187140, 0x00000000606c5e34 }, + /* x^130048 mod p(x)` << 1, x^130112 mod p(x)` << 1 */ + { 0x000000019581b9da, 0x000000019766beaa }, + /* x^129024 mod p(x)` << 1, x^129088 mod p(x)` << 1 */ + { 0x00000001091bc984, 0x00000001d80c506c }, + /* x^128000 mod p(x)` << 1, x^128064 mod p(x)` << 1 */ + { 0x000000001067223c, 0x000000001e73837c }, + /* x^126976 mod p(x)` << 1, x^127040 mod p(x)` << 1 */ + { 0x00000001ab16ea02, 0x0000000064d587de }, + /* x^125952 mod p(x)` << 1, x^126016 mod p(x)` << 1 */ + { 0x000000013c4598a8, 0x00000000f4a507b0 }, + /* x^124928 mod p(x)` << 1, x^124992 mod p(x)` << 1 */ + { 0x00000000b3735430, 0x0000000040e342fc }, + /* x^123904 mod p(x)` << 1, x^123968 mod p(x)` << 1 */ + { 0x00000001bb3fc0c0, 0x00000001d5ad9c3a }, + /* x^122880 mod p(x)` << 1, x^122944 mod p(x)` << 1 */ + { 0x00000001570ae19c, 0x0000000094a691a4 }, + /* x^121856 mod p(x)` << 1, x^121920 mod p(x)` << 1 */ + { 0x00000001ea910712, 0x00000001271ecdfa }, + /* x^120832 mod p(x)` << 1, x^120896 mod p(x)` << 1 */ + { 0x0000000167127128, 0x000000009e54475a }, + /* x^119808 mod p(x)` << 1, x^119872 mod p(x)` << 1 */ + { 0x0000000019e790a2, 0x00000000c9c099ee }, + /* x^118784 mod p(x)` << 1, x^118848 mod p(x)` << 1 */ + { 0x000000003788f710, 0x000000009a2f736c }, + /* x^117760 mod p(x)` << 1, x^117824 mod p(x)` << 1 */ + { 0x00000001682a160e, 0x00000000bb9f4996 }, + /* x^116736 mod p(x)` << 1, x^116800 mod p(x)` << 1 */ + { 0x000000007f0ebd2e, 0x00000001db688050 }, + /* x^115712 mod p(x)` << 1, x^115776 mod p(x)` << 1 */ + { 0x000000002b032080, 0x00000000e9b10af4 }, + /* x^114688 mod p(x)` << 1, x^114752 mod p(x)` << 1 */ + { 0x00000000cfd1664a, 0x000000012d4545e4 }, + /* x^113664 mod p(x)` << 1, x^113728 mod p(x)` << 1 */ + { 0x00000000aa1181c2, 0x000000000361139c }, + /* x^112640 mod p(x)` << 1, x^112704 mod p(x)` << 1 */ + { 0x00000000ddd08002, 0x00000001a5a1a3a8 }, + /* x^111616 mod p(x)` << 1, x^111680 mod p(x)` << 1 */ + { 0x00000000e8dd0446, 0x000000006844e0b0 }, + /* x^110592 mod p(x)` << 1, x^110656 mod p(x)` << 1 */ + { 0x00000001bbd94a00, 0x00000000c3762f28 }, + /* x^109568 mod p(x)` << 1, x^109632 mod p(x)` << 1 */ + { 0x00000000ab6cd180, 0x00000001d26287a2 }, + /* x^108544 mod p(x)` << 1, x^108608 mod p(x)` << 1 */ + { 0x0000000031803ce2, 0x00000001f6f0bba8 }, + /* x^107520 mod p(x)` << 1, x^107584 mod p(x)` << 1 */ + { 0x0000000024f40b0c, 0x000000002ffabd62 }, + /* x^106496 mod p(x)` << 1, x^106560 mod p(x)` << 1 */ + { 0x00000001ba1d9834, 0x00000000fb4516b8 }, + /* x^105472 mod p(x)` << 1, x^105536 mod p(x)` << 1 */ + { 0x0000000104de61aa, 0x000000018cfa961c }, + /* x^104448 mod p(x)` << 1, x^104512 mod p(x)` << 1 */ + { 0x0000000113e40d46, 0x000000019e588d52 }, + /* x^103424 mod p(x)` << 1, x^103488 mod p(x)` << 1 */ + { 0x00000001415598a0, 0x00000001180f0bbc }, + /* x^102400 mod p(x)` << 1, x^102464 mod p(x)` << 1 */ + { 0x00000000bf6c8c90, 0x00000000e1d9177a }, + /* x^101376 mod p(x)` << 1, x^101440 mod p(x)` << 1 */ + { 0x00000001788b0504, 0x0000000105abc27c }, + /* x^100352 mod p(x)` << 1, x^100416 mod p(x)` << 1 */ + { 0x0000000038385d02, 0x00000000972e4a58 }, + /* x^99328 mod p(x)` << 1, x^99392 mod p(x)` << 1 */ + { 0x00000001b6c83844, 0x0000000183499a5e }, + /* x^98304 mod p(x)` << 1, x^98368 mod p(x)` << 1 */ + { 0x0000000051061a8a, 0x00000001c96a8cca }, + /* x^97280 mod p(x)` << 1, x^97344 mod p(x)` << 1 */ + { 0x000000017351388a, 0x00000001a1a5b60c }, + /* x^96256 mod p(x)` << 1, x^96320 mod p(x)` << 1 */ + { 0x0000000132928f92, 0x00000000e4b6ac9c }, + /* x^95232 mod p(x)` << 1, x^95296 mod p(x)` << 1 */ + { 0x00000000e6b4f48a, 0x00000001807e7f5a }, + /* x^94208 mod p(x)` << 1, x^94272 mod p(x)` << 1 */ + { 0x0000000039d15e90, 0x000000017a7e3bc8 }, + /* x^93184 mod p(x)` << 1, x^93248 mod p(x)` << 1 */ + { 0x00000000312d6074, 0x00000000d73975da }, + /* x^92160 mod p(x)` << 1, x^92224 mod p(x)` << 1 */ + { 0x000000017bbb2cc4, 0x000000017375d038 }, + /* x^91136 mod p(x)` << 1, x^91200 mod p(x)` << 1 */ + { 0x000000016ded3e18, 0x00000000193680bc }, + /* x^90112 mod p(x)` << 1, x^90176 mod p(x)` << 1 */ + { 0x00000000f1638b16, 0x00000000999b06f6 }, + /* x^89088 mod p(x)` << 1, x^89152 mod p(x)` << 1 */ + { 0x00000001d38b9ecc, 0x00000001f685d2b8 }, + /* x^88064 mod p(x)` << 1, x^88128 mod p(x)` << 1 */ + { 0x000000018b8d09dc, 0x00000001f4ecbed2 }, + /* x^87040 mod p(x)` << 1, x^87104 mod p(x)` << 1 */ + { 0x00000000e7bc27d2, 0x00000000ba16f1a0 }, + /* x^86016 mod p(x)` << 1, x^86080 mod p(x)` << 1 */ + { 0x00000000275e1e96, 0x0000000115aceac4 }, + /* x^84992 mod p(x)` << 1, x^85056 mod p(x)` << 1 */ + { 0x00000000e2e3031e, 0x00000001aeff6292 }, + /* x^83968 mod p(x)` << 1, x^84032 mod p(x)` << 1 */ + { 0x00000001041c84d8, 0x000000009640124c }, + /* x^82944 mod p(x)` << 1, x^83008 mod p(x)` << 1 */ + { 0x00000000706ce672, 0x0000000114f41f02 }, + /* x^81920 mod p(x)` << 1, x^81984 mod p(x)` << 1 */ + { 0x000000015d5070da, 0x000000009c5f3586 }, + /* x^80896 mod p(x)` << 1, x^80960 mod p(x)` << 1 */ + { 0x0000000038f9493a, 0x00000001878275fa }, + /* x^79872 mod p(x)` << 1, x^79936 mod p(x)` << 1 */ + { 0x00000000a3348a76, 0x00000000ddc42ce8 }, + /* x^78848 mod p(x)` << 1, x^78912 mod p(x)` << 1 */ + { 0x00000001ad0aab92, 0x0000000181d2c73a }, + /* x^77824 mod p(x)` << 1, x^77888 mod p(x)` << 1 */ + { 0x000000019e85f712, 0x0000000141c9320a }, + /* x^76800 mod p(x)` << 1, x^76864 mod p(x)` << 1 */ + { 0x000000005a871e76, 0x000000015235719a }, + /* x^75776 mod p(x)` << 1, x^75840 mod p(x)` << 1 */ + { 0x000000017249c662, 0x00000000be27d804 }, + /* x^74752 mod p(x)` << 1, x^74816 mod p(x)` << 1 */ + { 0x000000003a084712, 0x000000006242d45a }, + /* x^73728 mod p(x)` << 1, x^73792 mod p(x)` << 1 */ + { 0x00000000ed438478, 0x000000009a53638e }, + /* x^72704 mod p(x)` << 1, x^72768 mod p(x)` << 1 */ + { 0x00000000abac34cc, 0x00000001001ecfb6 }, + /* x^71680 mod p(x)` << 1, x^71744 mod p(x)` << 1 */ + { 0x000000005f35ef3e, 0x000000016d7c2d64 }, + /* x^70656 mod p(x)` << 1, x^70720 mod p(x)` << 1 */ + { 0x0000000047d6608c, 0x00000001d0ce46c0 }, + /* x^69632 mod p(x)` << 1, x^69696 mod p(x)` << 1 */ + { 0x000000002d01470e, 0x0000000124c907b4 }, + /* x^68608 mod p(x)` << 1, x^68672 mod p(x)` << 1 */ + { 0x0000000158bbc7b0, 0x0000000018a555ca }, + /* x^67584 mod p(x)` << 1, x^67648 mod p(x)` << 1 */ + { 0x00000000c0a23e8e, 0x000000006b0980bc }, + /* x^66560 mod p(x)` << 1, x^66624 mod p(x)` << 1 */ + { 0x00000001ebd85c88, 0x000000008bbba964 }, + /* x^65536 mod p(x)` << 1, x^65600 mod p(x)` << 1 */ + { 0x000000019ee20bb2, 0x00000001070a5a1e }, + /* x^64512 mod p(x)` << 1, x^64576 mod p(x)` << 1 */ + { 0x00000001acabf2d6, 0x000000002204322a }, + /* x^63488 mod p(x)` << 1, x^63552 mod p(x)` << 1 */ + { 0x00000001b7963d56, 0x00000000a27524d0 }, + /* x^62464 mod p(x)` << 1, x^62528 mod p(x)` << 1 */ + { 0x000000017bffa1fe, 0x0000000020b1e4ba }, + /* x^61440 mod p(x)` << 1, x^61504 mod p(x)` << 1 */ + { 0x000000001f15333e, 0x0000000032cc27fc }, + /* x^60416 mod p(x)` << 1, x^60480 mod p(x)` << 1 */ + { 0x000000018593129e, 0x0000000044dd22b8 }, + /* x^59392 mod p(x)` << 1, x^59456 mod p(x)` << 1 */ + { 0x000000019cb32602, 0x00000000dffc9e0a }, + /* x^58368 mod p(x)` << 1, x^58432 mod p(x)` << 1 */ + { 0x0000000142b05cc8, 0x00000001b7a0ed14 }, + /* x^57344 mod p(x)` << 1, x^57408 mod p(x)` << 1 */ + { 0x00000001be49e7a4, 0x00000000c7842488 }, + /* x^56320 mod p(x)` << 1, x^56384 mod p(x)` << 1 */ + { 0x0000000108f69d6c, 0x00000001c02a4fee }, + /* x^55296 mod p(x)` << 1, x^55360 mod p(x)` << 1 */ + { 0x000000006c0971f0, 0x000000003c273778 }, + /* x^54272 mod p(x)` << 1, x^54336 mod p(x)` << 1 */ + { 0x000000005b16467a, 0x00000001d63f8894 }, + /* x^53248 mod p(x)` << 1, x^53312 mod p(x)` << 1 */ + { 0x00000001551a628e, 0x000000006be557d6 }, + /* x^52224 mod p(x)` << 1, x^52288 mod p(x)` << 1 */ + { 0x000000019e42ea92, 0x000000006a7806ea }, + /* x^51200 mod p(x)` << 1, x^51264 mod p(x)` << 1 */ + { 0x000000012fa83ff2, 0x000000016155aa0c }, + /* x^50176 mod p(x)` << 1, x^50240 mod p(x)` << 1 */ + { 0x000000011ca9cde0, 0x00000000908650ac }, + /* x^49152 mod p(x)` << 1, x^49216 mod p(x)` << 1 */ + { 0x00000000c8e5cd74, 0x00000000aa5a8084 }, + /* x^48128 mod p(x)` << 1, x^48192 mod p(x)` << 1 */ + { 0x0000000096c27f0c, 0x0000000191bb500a }, + /* x^47104 mod p(x)` << 1, x^47168 mod p(x)` << 1 */ + { 0x000000002baed926, 0x0000000064e9bed0 }, + /* x^46080 mod p(x)` << 1, x^46144 mod p(x)` << 1 */ + { 0x000000017c8de8d2, 0x000000009444f302 }, + /* x^45056 mod p(x)` << 1, x^45120 mod p(x)` << 1 */ + { 0x00000000d43d6068, 0x000000019db07d3c }, + /* x^44032 mod p(x)` << 1, x^44096 mod p(x)` << 1 */ + { 0x00000000cb2c4b26, 0x00000001359e3e6e }, + /* x^43008 mod p(x)` << 1, x^43072 mod p(x)` << 1 */ + { 0x0000000145b8da26, 0x00000001e4f10dd2 }, + /* x^41984 mod p(x)` << 1, x^42048 mod p(x)` << 1 */ + { 0x000000018fff4b08, 0x0000000124f5735e }, + /* x^40960 mod p(x)` << 1, x^41024 mod p(x)` << 1 */ + { 0x0000000150b58ed0, 0x0000000124760a4c }, + /* x^39936 mod p(x)` << 1, x^40000 mod p(x)` << 1 */ + { 0x00000001549f39bc, 0x000000000f1fc186 }, + /* x^38912 mod p(x)` << 1, x^38976 mod p(x)` << 1 */ + { 0x00000000ef4d2f42, 0x00000000150e4cc4 }, + /* x^37888 mod p(x)` << 1, x^37952 mod p(x)` << 1 */ + { 0x00000001b1468572, 0x000000002a6204e8 }, + /* x^36864 mod p(x)` << 1, x^36928 mod p(x)` << 1 */ + { 0x000000013d7403b2, 0x00000000beb1d432 }, + /* x^35840 mod p(x)` << 1, x^35904 mod p(x)` << 1 */ + { 0x00000001a4681842, 0x0000000135f3f1f0 }, + /* x^34816 mod p(x)` << 1, x^34880 mod p(x)` << 1 */ + { 0x0000000167714492, 0x0000000074fe2232 }, + /* x^33792 mod p(x)` << 1, x^33856 mod p(x)` << 1 */ + { 0x00000001e599099a, 0x000000001ac6e2ba }, + /* x^32768 mod p(x)` << 1, x^32832 mod p(x)` << 1 */ + { 0x00000000fe128194, 0x0000000013fca91e }, + /* x^31744 mod p(x)` << 1, x^31808 mod p(x)` << 1 */ + { 0x0000000077e8b990, 0x0000000183f4931e }, + /* x^30720 mod p(x)` << 1, x^30784 mod p(x)` << 1 */ + { 0x00000001a267f63a, 0x00000000b6d9b4e4 }, + /* x^29696 mod p(x)` << 1, x^29760 mod p(x)` << 1 */ + { 0x00000001945c245a, 0x00000000b5188656 }, + /* x^28672 mod p(x)` << 1, x^28736 mod p(x)` << 1 */ + { 0x0000000149002e76, 0x0000000027a81a84 }, + /* x^27648 mod p(x)` << 1, x^27712 mod p(x)` << 1 */ + { 0x00000001bb8310a4, 0x0000000125699258 }, + /* x^26624 mod p(x)` << 1, x^26688 mod p(x)` << 1 */ + { 0x000000019ec60bcc, 0x00000001b23de796 }, + /* x^25600 mod p(x)` << 1, x^25664 mod p(x)` << 1 */ + { 0x000000012d8590ae, 0x00000000fe4365dc }, + /* x^24576 mod p(x)` << 1, x^24640 mod p(x)` << 1 */ + { 0x0000000065b00684, 0x00000000c68f497a }, + /* x^23552 mod p(x)` << 1, x^23616 mod p(x)` << 1 */ + { 0x000000015e5aeadc, 0x00000000fbf521ee }, + /* x^22528 mod p(x)` << 1, x^22592 mod p(x)` << 1 */ + { 0x00000000b77ff2b0, 0x000000015eac3378 }, + /* x^21504 mod p(x)` << 1, x^21568 mod p(x)` << 1 */ + { 0x0000000188da2ff6, 0x0000000134914b90 }, + /* x^20480 mod p(x)` << 1, x^20544 mod p(x)` << 1 */ + { 0x0000000063da929a, 0x0000000016335cfe }, + /* x^19456 mod p(x)` << 1, x^19520 mod p(x)` << 1 */ + { 0x00000001389caa80, 0x000000010372d10c }, + /* x^18432 mod p(x)` << 1, x^18496 mod p(x)` << 1 */ + { 0x000000013db599d2, 0x000000015097b908 }, + /* x^17408 mod p(x)` << 1, x^17472 mod p(x)` << 1 */ + { 0x0000000122505a86, 0x00000001227a7572 }, + /* x^16384 mod p(x)` << 1, x^16448 mod p(x)` << 1 */ + { 0x000000016bd72746, 0x000000009a8f75c0 }, + /* x^15360 mod p(x)` << 1, x^15424 mod p(x)` << 1 */ + { 0x00000001c3faf1d4, 0x00000000682c77a2 }, + /* x^14336 mod p(x)` << 1, x^14400 mod p(x)` << 1 */ + { 0x00000001111c826c, 0x00000000231f091c }, + /* x^13312 mod p(x)` << 1, x^13376 mod p(x)` << 1 */ + { 0x00000000153e9fb2, 0x000000007d4439f2 }, + /* x^12288 mod p(x)` << 1, x^12352 mod p(x)` << 1 */ + { 0x000000002b1f7b60, 0x000000017e221efc }, + /* x^11264 mod p(x)` << 1, x^11328 mod p(x)` << 1 */ + { 0x00000000b1dba570, 0x0000000167457c38 }, + /* x^10240 mod p(x)` << 1, x^10304 mod p(x)` << 1 */ + { 0x00000001f6397b76, 0x00000000bdf081c4 }, + /* x^9216 mod p(x)` << 1, x^9280 mod p(x)` << 1 */ + { 0x0000000156335214, 0x000000016286d6b0 }, + /* x^8192 mod p(x)` << 1, x^8256 mod p(x)` << 1 */ + { 0x00000001d70e3986, 0x00000000c84f001c }, + /* x^7168 mod p(x)` << 1, x^7232 mod p(x)` << 1 */ + { 0x000000003701a774, 0x0000000064efe7c0 }, + /* x^6144 mod p(x)` << 1, x^6208 mod p(x)` << 1 */ + { 0x00000000ac81ef72, 0x000000000ac2d904 }, + /* x^5120 mod p(x)` << 1, x^5184 mod p(x)` << 1 */ + { 0x0000000133212464, 0x00000000fd226d14 }, + /* x^4096 mod p(x)` << 1, x^4160 mod p(x)` << 1 */ + { 0x00000000e4e45610, 0x000000011cfd42e0 }, + /* x^3072 mod p(x)` << 1, x^3136 mod p(x)` << 1 */ + { 0x000000000c1bd370, 0x000000016e5a5678 }, + /* x^2048 mod p(x)` << 1, x^2112 mod p(x)` << 1 */ + { 0x00000001a7b9e7a6, 0x00000001d888fe22 }, + /* x^1024 mod p(x)` << 1, x^1088 mod p(x)` << 1 */ + { 0x000000007d657a10, 0x00000001af77fcd4 } +#else /* __LITTLE_ENDIAN__ */ + /* x^261120 mod p(x)` << 1, x^261184 mod p(x)` << 1 */ + { 0x00000001651797d2, 0x0000000099ea94a8 }, + /* x^260096 mod p(x)` << 1, x^260160 mod p(x)` << 1 */ + { 0x0000000021e0d56c, 0x00000000945a8420 }, + /* x^259072 mod p(x)` << 1, x^259136 mod p(x)` << 1 */ + { 0x000000000f95ecaa, 0x0000000030762706 }, + /* x^258048 mod p(x)` << 1, x^258112 mod p(x)` << 1 */ + { 0x00000001ebd224ac, 0x00000001a52fc582 }, + /* x^257024 mod p(x)` << 1, x^257088 mod p(x)` << 1 */ + { 0x000000000ccb97ca, 0x00000001a4a7167a }, + /* x^256000 mod p(x)` << 1, x^256064 mod p(x)` << 1 */ + { 0x00000001006ec8a8, 0x000000000c18249a }, + /* x^254976 mod p(x)` << 1, x^255040 mod p(x)` << 1 */ + { 0x000000014f58f196, 0x00000000a924ae7c }, + /* x^253952 mod p(x)` << 1, x^254016 mod p(x)` << 1 */ + { 0x00000001a7192ca6, 0x00000001e12ccc12 }, + /* x^252928 mod p(x)` << 1, x^252992 mod p(x)` << 1 */ + { 0x000000019a64bab2, 0x00000000a0b9d4ac }, + /* x^251904 mod p(x)` << 1, x^251968 mod p(x)` << 1 */ + { 0x0000000014f4ed2e, 0x0000000095e8ddfe }, + /* x^250880 mod p(x)` << 1, x^250944 mod p(x)` << 1 */ + { 0x000000011092b6a2, 0x00000000233fddc4 }, + /* x^249856 mod p(x)` << 1, x^249920 mod p(x)` << 1 */ + { 0x00000000c8a1629c, 0x00000001b4529b62 }, + /* x^248832 mod p(x)` << 1, x^248896 mod p(x)` << 1 */ + { 0x000000017bf32e8e, 0x00000001a7fa0e64 }, + /* x^247808 mod p(x)` << 1, x^247872 mod p(x)` << 1 */ + { 0x00000001f8cc6582, 0x00000001b5334592 }, + /* x^246784 mod p(x)` << 1, x^246848 mod p(x)` << 1 */ + { 0x000000008631ddf0, 0x000000011f8ee1b4 }, + /* x^245760 mod p(x)` << 1, x^245824 mod p(x)` << 1 */ + { 0x000000007e5a76d0, 0x000000006252e632 }, + /* x^244736 mod p(x)` << 1, x^244800 mod p(x)` << 1 */ + { 0x000000002b09b31c, 0x00000000ab973e84 }, + /* x^243712 mod p(x)` << 1, x^243776 mod p(x)` << 1 */ + { 0x00000001b2df1f84, 0x000000007734f5ec }, + /* x^242688 mod p(x)` << 1, x^242752 mod p(x)` << 1 */ + { 0x00000001d6f56afc, 0x000000007c547798 }, + /* x^241664 mod p(x)` << 1, x^241728 mod p(x)` << 1 */ + { 0x00000001b9b5e70c, 0x000000007ec40210 }, + /* x^240640 mod p(x)` << 1, x^240704 mod p(x)` << 1 */ + { 0x0000000034b626d2, 0x00000001ab1695a8 }, + /* x^239616 mod p(x)` << 1, x^239680 mod p(x)` << 1 */ + { 0x000000014c53479a, 0x0000000090494bba }, + /* x^238592 mod p(x)` << 1, x^238656 mod p(x)` << 1 */ + { 0x00000001a6d179a4, 0x00000001123fb816 }, + /* x^237568 mod p(x)` << 1, x^237632 mod p(x)` << 1 */ + { 0x000000015abd16b4, 0x00000001e188c74c }, + /* x^236544 mod p(x)` << 1, x^236608 mod p(x)` << 1 */ + { 0x00000000018f9852, 0x00000001c2d3451c }, + /* x^235520 mod p(x)` << 1, x^235584 mod p(x)` << 1 */ + { 0x000000001fb3084a, 0x00000000f55cf1ca }, + /* x^234496 mod p(x)` << 1, x^234560 mod p(x)` << 1 */ + { 0x00000000c53dfb04, 0x00000001a0531540 }, + /* x^233472 mod p(x)` << 1, x^233536 mod p(x)` << 1 */ + { 0x00000000e10c9ad6, 0x0000000132cd7ebc }, + /* x^232448 mod p(x)` << 1, x^232512 mod p(x)` << 1 */ + { 0x0000000025aa994a, 0x0000000073ab7f36 }, + /* x^231424 mod p(x)` << 1, x^231488 mod p(x)` << 1 */ + { 0x00000000fa3a74c4, 0x0000000041aed1c2 }, + /* x^230400 mod p(x)` << 1, x^230464 mod p(x)` << 1 */ + { 0x0000000033eb3f40, 0x0000000136c53800 }, + /* x^229376 mod p(x)` << 1, x^229440 mod p(x)` << 1 */ + { 0x000000017193f296, 0x0000000126835a30 }, + /* x^228352 mod p(x)` << 1, x^228416 mod p(x)` << 1 */ + { 0x0000000043f6c86a, 0x000000006241b502 }, + /* x^227328 mod p(x)` << 1, x^227392 mod p(x)` << 1 */ + { 0x000000016b513ec6, 0x00000000d5196ad4 }, + /* x^226304 mod p(x)` << 1, x^226368 mod p(x)` << 1 */ + { 0x00000000c8f25b4e, 0x000000009cfa769a }, + /* x^225280 mod p(x)` << 1, x^225344 mod p(x)` << 1 */ + { 0x00000001a45048ec, 0x00000000920e5df4 }, + /* x^224256 mod p(x)` << 1, x^224320 mod p(x)` << 1 */ + { 0x000000000c441004, 0x0000000169dc310e }, + /* x^223232 mod p(x)` << 1, x^223296 mod p(x)` << 1 */ + { 0x000000000e17cad6, 0x0000000009fc331c }, + /* x^222208 mod p(x)` << 1, x^222272 mod p(x)` << 1 */ + { 0x00000001253ae964, 0x000000010d94a81e }, + /* x^221184 mod p(x)` << 1, x^221248 mod p(x)` << 1 */ + { 0x00000001d7c88ebc, 0x0000000027a20ab2 }, + /* x^220160 mod p(x)` << 1, x^220224 mod p(x)` << 1 */ + { 0x00000001e7ca913a, 0x0000000114f87504 }, + /* x^219136 mod p(x)` << 1, x^219200 mod p(x)` << 1 */ + { 0x0000000033ed078a, 0x000000004b076d96 }, + /* x^218112 mod p(x)` << 1, x^218176 mod p(x)` << 1 */ + { 0x00000000e1839c78, 0x00000000da4d1e74 }, + /* x^217088 mod p(x)` << 1, x^217152 mod p(x)` << 1 */ + { 0x00000001322b267e, 0x000000001b81f672 }, + /* x^216064 mod p(x)` << 1, x^216128 mod p(x)` << 1 */ + { 0x00000000638231b6, 0x000000009367c988 }, + /* x^215040 mod p(x)` << 1, x^215104 mod p(x)` << 1 */ + { 0x00000001ee7f16f4, 0x00000001717214ca }, + /* x^214016 mod p(x)` << 1, x^214080 mod p(x)` << 1 */ + { 0x0000000117d9924a, 0x000000009f47d820 }, + /* x^212992 mod p(x)` << 1, x^213056 mod p(x)` << 1 */ + { 0x00000000e1a9e0c4, 0x000000010d9a47d2 }, + /* x^211968 mod p(x)` << 1, x^212032 mod p(x)` << 1 */ + { 0x00000001403731dc, 0x00000000a696c58c }, + /* x^210944 mod p(x)` << 1, x^211008 mod p(x)` << 1 */ + { 0x00000001a5ea9682, 0x000000002aa28ec6 }, + /* x^209920 mod p(x)` << 1, x^209984 mod p(x)` << 1 */ + { 0x0000000101c5c578, 0x00000001fe18fd9a }, + /* x^208896 mod p(x)` << 1, x^208960 mod p(x)` << 1 */ + { 0x00000000dddf6494, 0x000000019d4fc1ae }, + /* x^207872 mod p(x)` << 1, x^207936 mod p(x)` << 1 */ + { 0x00000000f1c3db28, 0x00000001ba0e3dea }, + /* x^206848 mod p(x)` << 1, x^206912 mod p(x)` << 1 */ + { 0x000000013112fb9c, 0x0000000074b59a5e }, + /* x^205824 mod p(x)` << 1, x^205888 mod p(x)` << 1 */ + { 0x00000000b680b906, 0x00000000f2b5ea98 }, + /* x^204800 mod p(x)` << 1, x^204864 mod p(x)` << 1 */ + { 0x000000001a282932, 0x0000000187132676 }, + /* x^203776 mod p(x)` << 1, x^203840 mod p(x)` << 1 */ + { 0x0000000089406e7e, 0x000000010a8c6ad4 }, + /* x^202752 mod p(x)` << 1, x^202816 mod p(x)` << 1 */ + { 0x00000001def6be8c, 0x00000001e21dfe70 }, + /* x^201728 mod p(x)` << 1, x^201792 mod p(x)` << 1 */ + { 0x0000000075258728, 0x00000001da0050e4 }, + /* x^200704 mod p(x)` << 1, x^200768 mod p(x)` << 1 */ + { 0x000000019536090a, 0x00000000772172ae }, + /* x^199680 mod p(x)` << 1, x^199744 mod p(x)` << 1 */ + { 0x00000000f2455bfc, 0x00000000e47724aa }, + /* x^198656 mod p(x)` << 1, x^198720 mod p(x)` << 1 */ + { 0x000000018c40baf4, 0x000000003cd63ac4 }, + /* x^197632 mod p(x)` << 1, x^197696 mod p(x)` << 1 */ + { 0x000000004cd390d4, 0x00000001bf47d352 }, + /* x^196608 mod p(x)` << 1, x^196672 mod p(x)` << 1 */ + { 0x00000001e4ece95a, 0x000000018dc1d708 }, + /* x^195584 mod p(x)` << 1, x^195648 mod p(x)` << 1 */ + { 0x000000001a3ee918, 0x000000002d4620a4 }, + /* x^194560 mod p(x)` << 1, x^194624 mod p(x)` << 1 */ + { 0x000000007c652fb8, 0x0000000058fd1740 }, + /* x^193536 mod p(x)` << 1, x^193600 mod p(x)` << 1 */ + { 0x000000011c67842c, 0x00000000dadd9bfc }, + /* x^192512 mod p(x)` << 1, x^192576 mod p(x)` << 1 */ + { 0x00000000254f759c, 0x00000001ea2140be }, + /* x^191488 mod p(x)` << 1, x^191552 mod p(x)` << 1 */ + { 0x000000007ece94ca, 0x000000009de128ba }, + /* x^190464 mod p(x)` << 1, x^190528 mod p(x)` << 1 */ + { 0x0000000038f258c2, 0x000000013ac3aa8e }, + /* x^189440 mod p(x)` << 1, x^189504 mod p(x)` << 1 */ + { 0x00000001cdf17b00, 0x0000000099980562 }, + /* x^188416 mod p(x)` << 1, x^188480 mod p(x)` << 1 */ + { 0x000000011f882c16, 0x00000001c1579c86 }, + /* x^187392 mod p(x)` << 1, x^187456 mod p(x)` << 1 */ + { 0x0000000100093fc8, 0x0000000068dbbf94 }, + /* x^186368 mod p(x)` << 1, x^186432 mod p(x)` << 1 */ + { 0x00000001cd684f16, 0x000000004509fb04 }, + /* x^185344 mod p(x)` << 1, x^185408 mod p(x)` << 1 */ + { 0x000000004bc6a70a, 0x00000001202f6398 }, + /* x^184320 mod p(x)` << 1, x^184384 mod p(x)` << 1 */ + { 0x000000004fc7e8e4, 0x000000013aea243e }, + /* x^183296 mod p(x)` << 1, x^183360 mod p(x)` << 1 */ + { 0x0000000130103f1c, 0x00000001b4052ae6 }, + /* x^182272 mod p(x)` << 1, x^182336 mod p(x)` << 1 */ + { 0x0000000111b0024c, 0x00000001cd2a0ae8 }, + /* x^181248 mod p(x)` << 1, x^181312 mod p(x)` << 1 */ + { 0x000000010b3079da, 0x00000001fe4aa8b4 }, + /* x^180224 mod p(x)` << 1, x^180288 mod p(x)` << 1 */ + { 0x000000010192bcc2, 0x00000001d1559a42 }, + /* x^179200 mod p(x)` << 1, x^179264 mod p(x)` << 1 */ + { 0x0000000074838d50, 0x00000001f3e05ecc }, + /* x^178176 mod p(x)` << 1, x^178240 mod p(x)` << 1 */ + { 0x000000001b20f520, 0x0000000104ddd2cc }, + /* x^177152 mod p(x)` << 1, x^177216 mod p(x)` << 1 */ + { 0x0000000050c3590a, 0x000000015393153c }, + /* x^176128 mod p(x)` << 1, x^176192 mod p(x)` << 1 */ + { 0x00000000b41cac8e, 0x0000000057e942c6 }, + /* x^175104 mod p(x)` << 1, x^175168 mod p(x)` << 1 */ + { 0x000000000c72cc78, 0x000000012c633850 }, + /* x^174080 mod p(x)` << 1, x^174144 mod p(x)` << 1 */ + { 0x0000000030cdb032, 0x00000000ebcaae4c }, + /* x^173056 mod p(x)` << 1, x^173120 mod p(x)` << 1 */ + { 0x000000013e09fc32, 0x000000013ee532a6 }, + /* x^172032 mod p(x)` << 1, x^172096 mod p(x)` << 1 */ + { 0x000000001ed624d2, 0x00000001bf0cbc7e }, + /* x^171008 mod p(x)` << 1, x^171072 mod p(x)` << 1 */ + { 0x00000000781aee1a, 0x00000000d50b7a5a }, + /* x^169984 mod p(x)` << 1, x^170048 mod p(x)` << 1 */ + { 0x00000001c4d8348c, 0x0000000002fca6e8 }, + /* x^168960 mod p(x)` << 1, x^169024 mod p(x)` << 1 */ + { 0x0000000057a40336, 0x000000007af40044 }, + /* x^167936 mod p(x)` << 1, x^168000 mod p(x)` << 1 */ + { 0x0000000085544940, 0x0000000016178744 }, + /* x^166912 mod p(x)` << 1, x^166976 mod p(x)` << 1 */ + { 0x000000019cd21e80, 0x000000014c177458 }, + /* x^165888 mod p(x)` << 1, x^165952 mod p(x)` << 1 */ + { 0x000000013eb95bc0, 0x000000011b6ddf04 }, + /* x^164864 mod p(x)` << 1, x^164928 mod p(x)` << 1 */ + { 0x00000001dfc9fdfc, 0x00000001f3e29ccc }, + /* x^163840 mod p(x)` << 1, x^163904 mod p(x)` << 1 */ + { 0x00000000cd028bc2, 0x0000000135ae7562 }, + /* x^162816 mod p(x)` << 1, x^162880 mod p(x)` << 1 */ + { 0x0000000090db8c44, 0x0000000190ef812c }, + /* x^161792 mod p(x)` << 1, x^161856 mod p(x)` << 1 */ + { 0x000000010010a4ce, 0x0000000067a2c786 }, + /* x^160768 mod p(x)` << 1, x^160832 mod p(x)` << 1 */ + { 0x00000001c8f4c72c, 0x0000000048b9496c }, + /* x^159744 mod p(x)` << 1, x^159808 mod p(x)` << 1 */ + { 0x000000001c26170c, 0x000000015a422de6 }, + /* x^158720 mod p(x)` << 1, x^158784 mod p(x)` << 1 */ + { 0x00000000e3fccf68, 0x00000001ef0e3640 }, + /* x^157696 mod p(x)` << 1, x^157760 mod p(x)` << 1 */ + { 0x00000000d513ed24, 0x00000001006d2d26 }, + /* x^156672 mod p(x)` << 1, x^156736 mod p(x)` << 1 */ + { 0x00000000141beada, 0x00000001170d56d6 }, + /* x^155648 mod p(x)` << 1, x^155712 mod p(x)` << 1 */ + { 0x000000011071aea0, 0x00000000a5fb613c }, + /* x^154624 mod p(x)` << 1, x^154688 mod p(x)` << 1 */ + { 0x000000012e19080a, 0x0000000040bbf7fc }, + /* x^153600 mod p(x)` << 1, x^153664 mod p(x)` << 1 */ + { 0x0000000100ecf826, 0x000000016ac3a5b2 }, + /* x^152576 mod p(x)` << 1, x^152640 mod p(x)` << 1 */ + { 0x0000000069b09412, 0x00000000abf16230 }, + /* x^151552 mod p(x)` << 1, x^151616 mod p(x)` << 1 */ + { 0x0000000122297bac, 0x00000001ebe23fac }, + /* x^150528 mod p(x)` << 1, x^150592 mod p(x)` << 1 */ + { 0x00000000e9e4b068, 0x000000008b6a0894 }, + /* x^149504 mod p(x)` << 1, x^149568 mod p(x)` << 1 */ + { 0x000000004b38651a, 0x00000001288ea478 }, + /* x^148480 mod p(x)` << 1, x^148544 mod p(x)` << 1 */ + { 0x00000001468360e2, 0x000000016619c442 }, + /* x^147456 mod p(x)` << 1, x^147520 mod p(x)` << 1 */ + { 0x00000000121c2408, 0x0000000086230038 }, + /* x^146432 mod p(x)` << 1, x^146496 mod p(x)` << 1 */ + { 0x00000000da7e7d08, 0x000000017746a756 }, + /* x^145408 mod p(x)` << 1, x^145472 mod p(x)` << 1 */ + { 0x00000001058d7652, 0x0000000191b8f8f8 }, + /* x^144384 mod p(x)` << 1, x^144448 mod p(x)` << 1 */ + { 0x000000014a098a90, 0x000000008e167708 }, + /* x^143360 mod p(x)` << 1, x^143424 mod p(x)` << 1 */ + { 0x0000000020dbe72e, 0x0000000148b22d54 }, + /* x^142336 mod p(x)` << 1, x^142400 mod p(x)` << 1 */ + { 0x000000011e7323e8, 0x0000000044ba2c3c }, + /* x^141312 mod p(x)` << 1, x^141376 mod p(x)` << 1 */ + { 0x00000000d5d4bf94, 0x00000000b54d2b52 }, + /* x^140288 mod p(x)` << 1, x^140352 mod p(x)` << 1 */ + { 0x0000000199d8746c, 0x0000000005a4fd8a }, + /* x^139264 mod p(x)` << 1, x^139328 mod p(x)` << 1 */ + { 0x00000000ce9ca8a0, 0x0000000139f9fc46 }, + /* x^138240 mod p(x)` << 1, x^138304 mod p(x)` << 1 */ + { 0x00000000136edece, 0x000000015a1fa824 }, + /* x^137216 mod p(x)` << 1, x^137280 mod p(x)` << 1 */ + { 0x000000019b92a068, 0x000000000a61ae4c }, + /* x^136192 mod p(x)` << 1, x^136256 mod p(x)` << 1 */ + { 0x0000000071d62206, 0x0000000145e9113e }, + /* x^135168 mod p(x)` << 1, x^135232 mod p(x)` << 1 */ + { 0x00000000dfc50158, 0x000000006a348448 }, + /* x^134144 mod p(x)` << 1, x^134208 mod p(x)` << 1 */ + { 0x00000001517626bc, 0x000000004d80a08c }, + /* x^133120 mod p(x)` << 1, x^133184 mod p(x)` << 1 */ + { 0x0000000148d1e4fa, 0x000000014b6837a0 }, + /* x^132096 mod p(x)` << 1, x^132160 mod p(x)` << 1 */ + { 0x0000000094d8266e, 0x000000016896a7fc }, + /* x^131072 mod p(x)` << 1, x^131136 mod p(x)` << 1 */ + { 0x00000000606c5e34, 0x000000014f187140 }, + /* x^130048 mod p(x)` << 1, x^130112 mod p(x)` << 1 */ + { 0x000000019766beaa, 0x000000019581b9da }, + /* x^129024 mod p(x)` << 1, x^129088 mod p(x)` << 1 */ + { 0x00000001d80c506c, 0x00000001091bc984 }, + /* x^128000 mod p(x)` << 1, x^128064 mod p(x)` << 1 */ + { 0x000000001e73837c, 0x000000001067223c }, + /* x^126976 mod p(x)` << 1, x^127040 mod p(x)` << 1 */ + { 0x0000000064d587de, 0x00000001ab16ea02 }, + /* x^125952 mod p(x)` << 1, x^126016 mod p(x)` << 1 */ + { 0x00000000f4a507b0, 0x000000013c4598a8 }, + /* x^124928 mod p(x)` << 1, x^124992 mod p(x)` << 1 */ + { 0x0000000040e342fc, 0x00000000b3735430 }, + /* x^123904 mod p(x)` << 1, x^123968 mod p(x)` << 1 */ + { 0x00000001d5ad9c3a, 0x00000001bb3fc0c0 }, + /* x^122880 mod p(x)` << 1, x^122944 mod p(x)` << 1 */ + { 0x0000000094a691a4, 0x00000001570ae19c }, + /* x^121856 mod p(x)` << 1, x^121920 mod p(x)` << 1 */ + { 0x00000001271ecdfa, 0x00000001ea910712 }, + /* x^120832 mod p(x)` << 1, x^120896 mod p(x)` << 1 */ + { 0x000000009e54475a, 0x0000000167127128 }, + /* x^119808 mod p(x)` << 1, x^119872 mod p(x)` << 1 */ + { 0x00000000c9c099ee, 0x0000000019e790a2 }, + /* x^118784 mod p(x)` << 1, x^118848 mod p(x)` << 1 */ + { 0x000000009a2f736c, 0x000000003788f710 }, + /* x^117760 mod p(x)` << 1, x^117824 mod p(x)` << 1 */ + { 0x00000000bb9f4996, 0x00000001682a160e }, + /* x^116736 mod p(x)` << 1, x^116800 mod p(x)` << 1 */ + { 0x00000001db688050, 0x000000007f0ebd2e }, + /* x^115712 mod p(x)` << 1, x^115776 mod p(x)` << 1 */ + { 0x00000000e9b10af4, 0x000000002b032080 }, + /* x^114688 mod p(x)` << 1, x^114752 mod p(x)` << 1 */ + { 0x000000012d4545e4, 0x00000000cfd1664a }, + /* x^113664 mod p(x)` << 1, x^113728 mod p(x)` << 1 */ + { 0x000000000361139c, 0x00000000aa1181c2 }, + /* x^112640 mod p(x)` << 1, x^112704 mod p(x)` << 1 */ + { 0x00000001a5a1a3a8, 0x00000000ddd08002 }, + /* x^111616 mod p(x)` << 1, x^111680 mod p(x)` << 1 */ + { 0x000000006844e0b0, 0x00000000e8dd0446 }, + /* x^110592 mod p(x)` << 1, x^110656 mod p(x)` << 1 */ + { 0x00000000c3762f28, 0x00000001bbd94a00 }, + /* x^109568 mod p(x)` << 1, x^109632 mod p(x)` << 1 */ + { 0x00000001d26287a2, 0x00000000ab6cd180 }, + /* x^108544 mod p(x)` << 1, x^108608 mod p(x)` << 1 */ + { 0x00000001f6f0bba8, 0x0000000031803ce2 }, + /* x^107520 mod p(x)` << 1, x^107584 mod p(x)` << 1 */ + { 0x000000002ffabd62, 0x0000000024f40b0c }, + /* x^106496 mod p(x)` << 1, x^106560 mod p(x)` << 1 */ + { 0x00000000fb4516b8, 0x00000001ba1d9834 }, + /* x^105472 mod p(x)` << 1, x^105536 mod p(x)` << 1 */ + { 0x000000018cfa961c, 0x0000000104de61aa }, + /* x^104448 mod p(x)` << 1, x^104512 mod p(x)` << 1 */ + { 0x000000019e588d52, 0x0000000113e40d46 }, + /* x^103424 mod p(x)` << 1, x^103488 mod p(x)` << 1 */ + { 0x00000001180f0bbc, 0x00000001415598a0 }, + /* x^102400 mod p(x)` << 1, x^102464 mod p(x)` << 1 */ + { 0x00000000e1d9177a, 0x00000000bf6c8c90 }, + /* x^101376 mod p(x)` << 1, x^101440 mod p(x)` << 1 */ + { 0x0000000105abc27c, 0x00000001788b0504 }, + /* x^100352 mod p(x)` << 1, x^100416 mod p(x)` << 1 */ + { 0x00000000972e4a58, 0x0000000038385d02 }, + /* x^99328 mod p(x)` << 1, x^99392 mod p(x)` << 1 */ + { 0x0000000183499a5e, 0x00000001b6c83844 }, + /* x^98304 mod p(x)` << 1, x^98368 mod p(x)` << 1 */ + { 0x00000001c96a8cca, 0x0000000051061a8a }, + /* x^97280 mod p(x)` << 1, x^97344 mod p(x)` << 1 */ + { 0x00000001a1a5b60c, 0x000000017351388a }, + /* x^96256 mod p(x)` << 1, x^96320 mod p(x)` << 1 */ + { 0x00000000e4b6ac9c, 0x0000000132928f92 }, + /* x^95232 mod p(x)` << 1, x^95296 mod p(x)` << 1 */ + { 0x00000001807e7f5a, 0x00000000e6b4f48a }, + /* x^94208 mod p(x)` << 1, x^94272 mod p(x)` << 1 */ + { 0x000000017a7e3bc8, 0x0000000039d15e90 }, + /* x^93184 mod p(x)` << 1, x^93248 mod p(x)` << 1 */ + { 0x00000000d73975da, 0x00000000312d6074 }, + /* x^92160 mod p(x)` << 1, x^92224 mod p(x)` << 1 */ + { 0x000000017375d038, 0x000000017bbb2cc4 }, + /* x^91136 mod p(x)` << 1, x^91200 mod p(x)` << 1 */ + { 0x00000000193680bc, 0x000000016ded3e18 }, + /* x^90112 mod p(x)` << 1, x^90176 mod p(x)` << 1 */ + { 0x00000000999b06f6, 0x00000000f1638b16 }, + /* x^89088 mod p(x)` << 1, x^89152 mod p(x)` << 1 */ + { 0x00000001f685d2b8, 0x00000001d38b9ecc }, + /* x^88064 mod p(x)` << 1, x^88128 mod p(x)` << 1 */ + { 0x00000001f4ecbed2, 0x000000018b8d09dc }, + /* x^87040 mod p(x)` << 1, x^87104 mod p(x)` << 1 */ + { 0x00000000ba16f1a0, 0x00000000e7bc27d2 }, + /* x^86016 mod p(x)` << 1, x^86080 mod p(x)` << 1 */ + { 0x0000000115aceac4, 0x00000000275e1e96 }, + /* x^84992 mod p(x)` << 1, x^85056 mod p(x)` << 1 */ + { 0x00000001aeff6292, 0x00000000e2e3031e }, + /* x^83968 mod p(x)` << 1, x^84032 mod p(x)` << 1 */ + { 0x000000009640124c, 0x00000001041c84d8 }, + /* x^82944 mod p(x)` << 1, x^83008 mod p(x)` << 1 */ + { 0x0000000114f41f02, 0x00000000706ce672 }, + /* x^81920 mod p(x)` << 1, x^81984 mod p(x)` << 1 */ + { 0x000000009c5f3586, 0x000000015d5070da }, + /* x^80896 mod p(x)` << 1, x^80960 mod p(x)` << 1 */ + { 0x00000001878275fa, 0x0000000038f9493a }, + /* x^79872 mod p(x)` << 1, x^79936 mod p(x)` << 1 */ + { 0x00000000ddc42ce8, 0x00000000a3348a76 }, + /* x^78848 mod p(x)` << 1, x^78912 mod p(x)` << 1 */ + { 0x0000000181d2c73a, 0x00000001ad0aab92 }, + /* x^77824 mod p(x)` << 1, x^77888 mod p(x)` << 1 */ + { 0x0000000141c9320a, 0x000000019e85f712 }, + /* x^76800 mod p(x)` << 1, x^76864 mod p(x)` << 1 */ + { 0x000000015235719a, 0x000000005a871e76 }, + /* x^75776 mod p(x)` << 1, x^75840 mod p(x)` << 1 */ + { 0x00000000be27d804, 0x000000017249c662 }, + /* x^74752 mod p(x)` << 1, x^74816 mod p(x)` << 1 */ + { 0x000000006242d45a, 0x000000003a084712 }, + /* x^73728 mod p(x)` << 1, x^73792 mod p(x)` << 1 */ + { 0x000000009a53638e, 0x00000000ed438478 }, + /* x^72704 mod p(x)` << 1, x^72768 mod p(x)` << 1 */ + { 0x00000001001ecfb6, 0x00000000abac34cc }, + /* x^71680 mod p(x)` << 1, x^71744 mod p(x)` << 1 */ + { 0x000000016d7c2d64, 0x000000005f35ef3e }, + /* x^70656 mod p(x)` << 1, x^70720 mod p(x)` << 1 */ + { 0x00000001d0ce46c0, 0x0000000047d6608c }, + /* x^69632 mod p(x)` << 1, x^69696 mod p(x)` << 1 */ + { 0x0000000124c907b4, 0x000000002d01470e }, + /* x^68608 mod p(x)` << 1, x^68672 mod p(x)` << 1 */ + { 0x0000000018a555ca, 0x0000000158bbc7b0 }, + /* x^67584 mod p(x)` << 1, x^67648 mod p(x)` << 1 */ + { 0x000000006b0980bc, 0x00000000c0a23e8e }, + /* x^66560 mod p(x)` << 1, x^66624 mod p(x)` << 1 */ + { 0x000000008bbba964, 0x00000001ebd85c88 }, + /* x^65536 mod p(x)` << 1, x^65600 mod p(x)` << 1 */ + { 0x00000001070a5a1e, 0x000000019ee20bb2 }, + /* x^64512 mod p(x)` << 1, x^64576 mod p(x)` << 1 */ + { 0x000000002204322a, 0x00000001acabf2d6 }, + /* x^63488 mod p(x)` << 1, x^63552 mod p(x)` << 1 */ + { 0x00000000a27524d0, 0x00000001b7963d56 }, + /* x^62464 mod p(x)` << 1, x^62528 mod p(x)` << 1 */ + { 0x0000000020b1e4ba, 0x000000017bffa1fe }, + /* x^61440 mod p(x)` << 1, x^61504 mod p(x)` << 1 */ + { 0x0000000032cc27fc, 0x000000001f15333e }, + /* x^60416 mod p(x)` << 1, x^60480 mod p(x)` << 1 */ + { 0x0000000044dd22b8, 0x000000018593129e }, + /* x^59392 mod p(x)` << 1, x^59456 mod p(x)` << 1 */ + { 0x00000000dffc9e0a, 0x000000019cb32602 }, + /* x^58368 mod p(x)` << 1, x^58432 mod p(x)` << 1 */ + { 0x00000001b7a0ed14, 0x0000000142b05cc8 }, + /* x^57344 mod p(x)` << 1, x^57408 mod p(x)` << 1 */ + { 0x00000000c7842488, 0x00000001be49e7a4 }, + /* x^56320 mod p(x)` << 1, x^56384 mod p(x)` << 1 */ + { 0x00000001c02a4fee, 0x0000000108f69d6c }, + /* x^55296 mod p(x)` << 1, x^55360 mod p(x)` << 1 */ + { 0x000000003c273778, 0x000000006c0971f0 }, + /* x^54272 mod p(x)` << 1, x^54336 mod p(x)` << 1 */ + { 0x00000001d63f8894, 0x000000005b16467a }, + /* x^53248 mod p(x)` << 1, x^53312 mod p(x)` << 1 */ + { 0x000000006be557d6, 0x00000001551a628e }, + /* x^52224 mod p(x)` << 1, x^52288 mod p(x)` << 1 */ + { 0x000000006a7806ea, 0x000000019e42ea92 }, + /* x^51200 mod p(x)` << 1, x^51264 mod p(x)` << 1 */ + { 0x000000016155aa0c, 0x000000012fa83ff2 }, + /* x^50176 mod p(x)` << 1, x^50240 mod p(x)` << 1 */ + { 0x00000000908650ac, 0x000000011ca9cde0 }, + /* x^49152 mod p(x)` << 1, x^49216 mod p(x)` << 1 */ + { 0x00000000aa5a8084, 0x00000000c8e5cd74 }, + /* x^48128 mod p(x)` << 1, x^48192 mod p(x)` << 1 */ + { 0x0000000191bb500a, 0x0000000096c27f0c }, + /* x^47104 mod p(x)` << 1, x^47168 mod p(x)` << 1 */ + { 0x0000000064e9bed0, 0x000000002baed926 }, + /* x^46080 mod p(x)` << 1, x^46144 mod p(x)` << 1 */ + { 0x000000009444f302, 0x000000017c8de8d2 }, + /* x^45056 mod p(x)` << 1, x^45120 mod p(x)` << 1 */ + { 0x000000019db07d3c, 0x00000000d43d6068 }, + /* x^44032 mod p(x)` << 1, x^44096 mod p(x)` << 1 */ + { 0x00000001359e3e6e, 0x00000000cb2c4b26 }, + /* x^43008 mod p(x)` << 1, x^43072 mod p(x)` << 1 */ + { 0x00000001e4f10dd2, 0x0000000145b8da26 }, + /* x^41984 mod p(x)` << 1, x^42048 mod p(x)` << 1 */ + { 0x0000000124f5735e, 0x000000018fff4b08 }, + /* x^40960 mod p(x)` << 1, x^41024 mod p(x)` << 1 */ + { 0x0000000124760a4c, 0x0000000150b58ed0 }, + /* x^39936 mod p(x)` << 1, x^40000 mod p(x)` << 1 */ + { 0x000000000f1fc186, 0x00000001549f39bc }, + /* x^38912 mod p(x)` << 1, x^38976 mod p(x)` << 1 */ + { 0x00000000150e4cc4, 0x00000000ef4d2f42 }, + /* x^37888 mod p(x)` << 1, x^37952 mod p(x)` << 1 */ + { 0x000000002a6204e8, 0x00000001b1468572 }, + /* x^36864 mod p(x)` << 1, x^36928 mod p(x)` << 1 */ + { 0x00000000beb1d432, 0x000000013d7403b2 }, + /* x^35840 mod p(x)` << 1, x^35904 mod p(x)` << 1 */ + { 0x0000000135f3f1f0, 0x00000001a4681842 }, + /* x^34816 mod p(x)` << 1, x^34880 mod p(x)` << 1 */ + { 0x0000000074fe2232, 0x0000000167714492 }, + /* x^33792 mod p(x)` << 1, x^33856 mod p(x)` << 1 */ + { 0x000000001ac6e2ba, 0x00000001e599099a }, + /* x^32768 mod p(x)` << 1, x^32832 mod p(x)` << 1 */ + { 0x0000000013fca91e, 0x00000000fe128194 }, + /* x^31744 mod p(x)` << 1, x^31808 mod p(x)` << 1 */ + { 0x0000000183f4931e, 0x0000000077e8b990 }, + /* x^30720 mod p(x)` << 1, x^30784 mod p(x)` << 1 */ + { 0x00000000b6d9b4e4, 0x00000001a267f63a }, + /* x^29696 mod p(x)` << 1, x^29760 mod p(x)` << 1 */ + { 0x00000000b5188656, 0x00000001945c245a }, + /* x^28672 mod p(x)` << 1, x^28736 mod p(x)` << 1 */ + { 0x0000000027a81a84, 0x0000000149002e76 }, + /* x^27648 mod p(x)` << 1, x^27712 mod p(x)` << 1 */ + { 0x0000000125699258, 0x00000001bb8310a4 }, + /* x^26624 mod p(x)` << 1, x^26688 mod p(x)` << 1 */ + { 0x00000001b23de796, 0x000000019ec60bcc }, + /* x^25600 mod p(x)` << 1, x^25664 mod p(x)` << 1 */ + { 0x00000000fe4365dc, 0x000000012d8590ae }, + /* x^24576 mod p(x)` << 1, x^24640 mod p(x)` << 1 */ + { 0x00000000c68f497a, 0x0000000065b00684 }, + /* x^23552 mod p(x)` << 1, x^23616 mod p(x)` << 1 */ + { 0x00000000fbf521ee, 0x000000015e5aeadc }, + /* x^22528 mod p(x)` << 1, x^22592 mod p(x)` << 1 */ + { 0x000000015eac3378, 0x00000000b77ff2b0 }, + /* x^21504 mod p(x)` << 1, x^21568 mod p(x)` << 1 */ + { 0x0000000134914b90, 0x0000000188da2ff6 }, + /* x^20480 mod p(x)` << 1, x^20544 mod p(x)` << 1 */ + { 0x0000000016335cfe, 0x0000000063da929a }, + /* x^19456 mod p(x)` << 1, x^19520 mod p(x)` << 1 */ + { 0x000000010372d10c, 0x00000001389caa80 }, + /* x^18432 mod p(x)` << 1, x^18496 mod p(x)` << 1 */ + { 0x000000015097b908, 0x000000013db599d2 }, + /* x^17408 mod p(x)` << 1, x^17472 mod p(x)` << 1 */ + { 0x00000001227a7572, 0x0000000122505a86 }, + /* x^16384 mod p(x)` << 1, x^16448 mod p(x)` << 1 */ + { 0x000000009a8f75c0, 0x000000016bd72746 }, + /* x^15360 mod p(x)` << 1, x^15424 mod p(x)` << 1 */ + { 0x00000000682c77a2, 0x00000001c3faf1d4 }, + /* x^14336 mod p(x)` << 1, x^14400 mod p(x)` << 1 */ + { 0x00000000231f091c, 0x00000001111c826c }, + /* x^13312 mod p(x)` << 1, x^13376 mod p(x)` << 1 */ + { 0x000000007d4439f2, 0x00000000153e9fb2 }, + /* x^12288 mod p(x)` << 1, x^12352 mod p(x)` << 1 */ + { 0x000000017e221efc, 0x000000002b1f7b60 }, + /* x^11264 mod p(x)` << 1, x^11328 mod p(x)` << 1 */ + { 0x0000000167457c38, 0x00000000b1dba570 }, + /* x^10240 mod p(x)` << 1, x^10304 mod p(x)` << 1 */ + { 0x00000000bdf081c4, 0x00000001f6397b76 }, + /* x^9216 mod p(x)` << 1, x^9280 mod p(x)` << 1 */ + { 0x000000016286d6b0, 0x0000000156335214 }, + /* x^8192 mod p(x)` << 1, x^8256 mod p(x)` << 1 */ + { 0x00000000c84f001c, 0x00000001d70e3986 }, + /* x^7168 mod p(x)` << 1, x^7232 mod p(x)` << 1 */ + { 0x0000000064efe7c0, 0x000000003701a774 }, + /* x^6144 mod p(x)` << 1, x^6208 mod p(x)` << 1 */ + { 0x000000000ac2d904, 0x00000000ac81ef72 }, + /* x^5120 mod p(x)` << 1, x^5184 mod p(x)` << 1 */ + { 0x00000000fd226d14, 0x0000000133212464 }, + /* x^4096 mod p(x)` << 1, x^4160 mod p(x)` << 1 */ + { 0x000000011cfd42e0, 0x00000000e4e45610 }, + /* x^3072 mod p(x)` << 1, x^3136 mod p(x)` << 1 */ + { 0x000000016e5a5678, 0x000000000c1bd370 }, + /* x^2048 mod p(x)` << 1, x^2112 mod p(x)` << 1 */ + { 0x00000001d888fe22, 0x00000001a7b9e7a6 }, + /* x^1024 mod p(x)` << 1, x^1088 mod p(x)` << 1 */ + { 0x00000001af77fcd4, 0x000000007d657a10 } +#endif /* __LITTLE_ENDIAN__ */ + }; + +/* Reduce final 1024-2048 bits to 64 bits, shifting 32 bits to include the trailing 32 bits of zeros */ + +static const __vector unsigned long long vcrc_short_const[16] + __attribute__((aligned (16))) = { +#ifdef __LITTLE_ENDIAN__ + /* x^1952 mod p(x) , x^1984 mod p(x) , x^2016 mod p(x) , x^2048 mod p(x) */ + { 0x99168a18ec447f11, 0xed837b2613e8221e }, + /* x^1824 mod p(x) , x^1856 mod p(x) , x^1888 mod p(x) , x^1920 mod p(x) */ + { 0xe23e954e8fd2cd3c, 0xc8acdd8147b9ce5a }, + /* x^1696 mod p(x) , x^1728 mod p(x) , x^1760 mod p(x) , x^1792 mod p(x) */ + { 0x92f8befe6b1d2b53, 0xd9ad6d87d4277e25 }, + /* x^1568 mod p(x) , x^1600 mod p(x) , x^1632 mod p(x) , x^1664 mod p(x) */ + { 0xf38a3556291ea462, 0xc10ec5e033fbca3b }, + /* x^1440 mod p(x) , x^1472 mod p(x) , x^1504 mod p(x) , x^1536 mod p(x) */ + { 0x974ac56262b6ca4b, 0xc0b55b0e82e02e2f }, + /* x^1312 mod p(x) , x^1344 mod p(x) , x^1376 mod p(x) , x^1408 mod p(x) */ + { 0x855712b3784d2a56, 0x71aa1df0e172334d }, + /* x^1184 mod p(x) , x^1216 mod p(x) , x^1248 mod p(x) , x^1280 mod p(x) */ + { 0xa5abe9f80eaee722, 0xfee3053e3969324d }, + /* x^1056 mod p(x) , x^1088 mod p(x) , x^1120 mod p(x) , x^1152 mod p(x) */ + { 0x1fa0943ddb54814c, 0xf44779b93eb2bd08 }, + /* x^928 mod p(x) , x^960 mod p(x) , x^992 mod p(x) , x^1024 mod p(x) */ + { 0xa53ff440d7bbfe6a, 0xf5449b3f00cc3374 }, + /* x^800 mod p(x) , x^832 mod p(x) , x^864 mod p(x) , x^896 mod p(x) */ + { 0xebe7e3566325605c, 0x6f8346e1d777606e }, + /* x^672 mod p(x) , x^704 mod p(x) , x^736 mod p(x) , x^768 mod p(x) */ + { 0xc65a272ce5b592b8, 0xe3ab4f2ac0b95347 }, + /* x^544 mod p(x) , x^576 mod p(x) , x^608 mod p(x) , x^640 mod p(x) */ + { 0x5705a9ca4721589f, 0xaa2215ea329ecc11 }, + /* x^416 mod p(x) , x^448 mod p(x) , x^480 mod p(x) , x^512 mod p(x) */ + { 0xe3720acb88d14467, 0x1ed8f66ed95efd26 }, + /* x^288 mod p(x) , x^320 mod p(x) , x^352 mod p(x) , x^384 mod p(x) */ + { 0xba1aca0315141c31, 0x78ed02d5a700e96a }, + /* x^160 mod p(x) , x^192 mod p(x) , x^224 mod p(x) , x^256 mod p(x) */ + { 0xad2a31b3ed627dae, 0xba8ccbe832b39da3 }, + /* x^32 mod p(x) , x^64 mod p(x) , x^96 mod p(x) , x^128 mod p(x) */ + { 0x6655004fa06a2517, 0xedb88320b1e6b092 } +#else /* __LITTLE_ENDIAN__ */ + /* x^1952 mod p(x) , x^1984 mod p(x) , x^2016 mod p(x) , x^2048 mod p(x) */ + { 0xed837b2613e8221e, 0x99168a18ec447f11 }, + /* x^1824 mod p(x) , x^1856 mod p(x) , x^1888 mod p(x) , x^1920 mod p(x) */ + { 0xc8acdd8147b9ce5a, 0xe23e954e8fd2cd3c }, + /* x^1696 mod p(x) , x^1728 mod p(x) , x^1760 mod p(x) , x^1792 mod p(x) */ + { 0xd9ad6d87d4277e25, 0x92f8befe6b1d2b53 }, + /* x^1568 mod p(x) , x^1600 mod p(x) , x^1632 mod p(x) , x^1664 mod p(x) */ + { 0xc10ec5e033fbca3b, 0xf38a3556291ea462 }, + /* x^1440 mod p(x) , x^1472 mod p(x) , x^1504 mod p(x) , x^1536 mod p(x) */ + { 0xc0b55b0e82e02e2f, 0x974ac56262b6ca4b }, + /* x^1312 mod p(x) , x^1344 mod p(x) , x^1376 mod p(x) , x^1408 mod p(x) */ + { 0x71aa1df0e172334d, 0x855712b3784d2a56 }, + /* x^1184 mod p(x) , x^1216 mod p(x) , x^1248 mod p(x) , x^1280 mod p(x) */ + { 0xfee3053e3969324d, 0xa5abe9f80eaee722 }, + /* x^1056 mod p(x) , x^1088 mod p(x) , x^1120 mod p(x) , x^1152 mod p(x) */ + { 0xf44779b93eb2bd08, 0x1fa0943ddb54814c }, + /* x^928 mod p(x) , x^960 mod p(x) , x^992 mod p(x) , x^1024 mod p(x) */ + { 0xf5449b3f00cc3374, 0xa53ff440d7bbfe6a }, + /* x^800 mod p(x) , x^832 mod p(x) , x^864 mod p(x) , x^896 mod p(x) */ + { 0x6f8346e1d777606e, 0xebe7e3566325605c }, + /* x^672 mod p(x) , x^704 mod p(x) , x^736 mod p(x) , x^768 mod p(x) */ + { 0xe3ab4f2ac0b95347, 0xc65a272ce5b592b8 }, + /* x^544 mod p(x) , x^576 mod p(x) , x^608 mod p(x) , x^640 mod p(x) */ + { 0xaa2215ea329ecc11, 0x5705a9ca4721589f }, + /* x^416 mod p(x) , x^448 mod p(x) , x^480 mod p(x) , x^512 mod p(x) */ + { 0x1ed8f66ed95efd26, 0xe3720acb88d14467 }, + /* x^288 mod p(x) , x^320 mod p(x) , x^352 mod p(x) , x^384 mod p(x) */ + { 0x78ed02d5a700e96a, 0xba1aca0315141c31 }, + /* x^160 mod p(x) , x^192 mod p(x) , x^224 mod p(x) , x^256 mod p(x) */ + { 0xba8ccbe832b39da3, 0xad2a31b3ed627dae }, + /* x^32 mod p(x) , x^64 mod p(x) , x^96 mod p(x) , x^128 mod p(x) */ + { 0xedb88320b1e6b092, 0x6655004fa06a2517 } +#endif /* __LITTLE_ENDIAN__ */ + }; + +/* Barrett constants */ +/* 33 bit reflected Barrett constant m - (4^32)/n */ + +static const __vector unsigned long long v_Barrett_const[2] + __attribute__((aligned (16))) = { + /* x^64 div p(x) */ +#ifdef __LITTLE_ENDIAN__ + { 0x00000001f7011641, 0x0000000000000000 }, + { 0x00000001db710641, 0x0000000000000000 } +#else /* __LITTLE_ENDIAN__ */ + { 0x0000000000000000, 0x00000001f7011641 }, + { 0x0000000000000000, 0x00000001db710641 } +#endif /* __LITTLE_ENDIAN__ */ + }; +#endif /* POWER8_INTRINSICS */ + +#endif /* __ASSEMBLER__ */ Index: zlib-1.2.11/contrib/power8-crc/vec_crc32.c =================================================================== --- /dev/null +++ zlib-1.2.11/contrib/power8-crc/vec_crc32.c @@ -0,0 +1,679 @@ +/* + * Calculate the checksum of data that is 16 byte aligned and a multiple of + * 16 bytes. + * + * The first step is to reduce it to 1024 bits. We do this in 8 parallel + * chunks in order to mask the latency of the vpmsum instructions. If we + * have more than 32 kB of data to checksum we repeat this step multiple + * times, passing in the previous 1024 bits. + * + * The next step is to reduce the 1024 bits to 64 bits. This step adds + * 32 bits of 0s to the end - this matches what a CRC does. We just + * calculate constants that land the data in this 32 bits. + * + * We then use fixed point Barrett reduction to compute a mod n over GF(2) + * for n = CRC using POWER8 instructions. We use x = 32. + * + * http://en.wikipedia.org/wiki/Barrett_reduction + * + * This code uses gcc vector builtins instead using assembly directly. + * + * Copyright (C) 2017 Rogerio Alves <rogealve@br.ibm.com>, IBM + * + * This program is free software; you can redistribute it and/or + * modify it under the terms of either: + * + * a) 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, or + * b) the Apache License, Version 2.0 + */ + +#include <altivec.h> + +#define POWER8_INTRINSICS +#define CRC_TABLE + +#ifdef CRC32_CONSTANTS_HEADER +#include CRC32_CONSTANTS_HEADER +#else +#include "crc32_constants.h" +#endif + +#include <stdlib.h> + +#define VMX_ALIGN 16 +#define VMX_ALIGN_MASK (VMX_ALIGN-1) + +#ifdef REFLECT +static unsigned int crc32_align(unsigned int crc, const unsigned char *p, + unsigned long len) +{ + while (len--) + crc = crc_table[(crc ^ *p++) & 0xff] ^ (crc >> 8); + return crc; +} +#else +static unsigned int crc32_align(unsigned int crc, const unsigned char *p, + unsigned long len) +{ + while (len--) + crc = crc_table[((crc >> 24) ^ *p++) & 0xff] ^ (crc << 8); + return crc; +} +#endif + +static unsigned int __attribute__ ((aligned (32))) +__crc32_vpmsum(unsigned int crc, const void* p, unsigned long len); + +#ifndef CRC32_FUNCTION +#define CRC32_FUNCTION crc32_vpmsum +#endif + +unsigned int CRC32_FUNCTION(unsigned int crc, const unsigned char *p, + unsigned long len) +{ + unsigned int prealign; + unsigned int tail; + + /* For zlib API */ + if (p == NULL) return 0UL; + +#ifdef CRC_XOR + crc ^= 0xffffffff; +#endif + + if (len < VMX_ALIGN + VMX_ALIGN_MASK) { + crc = crc32_align(crc, p, len); + goto out; + } + + if ((unsigned long)p & VMX_ALIGN_MASK) { + prealign = VMX_ALIGN - ((unsigned long)p & VMX_ALIGN_MASK); + crc = crc32_align(crc, p, prealign); + len -= prealign; + p += prealign; + } + + crc = __crc32_vpmsum(crc, p, len & ~VMX_ALIGN_MASK); + + tail = len & VMX_ALIGN_MASK; + if (tail) { + p += len & ~VMX_ALIGN_MASK; + crc = crc32_align(crc, p, tail); + } + +out: +#ifdef CRC_XOR + crc ^= 0xffffffff; +#endif + + return crc; +} + +#if defined (__clang__) +#include "clang_workaround.h" +#else +#define __builtin_pack_vector(a, b) __builtin_pack_vector_int128 ((a), (b)) +#define __builtin_unpack_vector_0(a) __builtin_unpack_vector_int128 ((vector __int128_t)(a), 0) +#define __builtin_unpack_vector_1(a) __builtin_unpack_vector_int128 ((vector __int128_t)(a), 1) +#endif + +/* When we have a load-store in a single-dispatch group and address overlap + * such that foward is not allowed (load-hit-store) the group must be flushed. + * A group ending NOP prevents the flush. + */ +#define GROUP_ENDING_NOP asm("ori 2,2,0" ::: "memory") + +#if defined(__BIG_ENDIAN__) && defined (REFLECT) +#define BYTESWAP_DATA +#elif defined(__LITTLE_ENDIAN__) && !defined(REFLECT) +#define BYTESWAP_DATA +#endif + +#ifdef BYTESWAP_DATA +#define VEC_PERM(vr, va, vb, vc) vr = vec_perm(va, vb,\ + (__vector unsigned char) vc) +#if defined(__LITTLE_ENDIAN__) +/* Byte reverse permute constant LE. */ +static const __vector unsigned long long vperm_const + __attribute__ ((aligned(16))) = { 0x08090A0B0C0D0E0FUL, + 0x0001020304050607UL }; +#else +static const __vector unsigned long long vperm_const + __attribute__ ((aligned(16))) = { 0x0F0E0D0C0B0A0908UL, + 0X0706050403020100UL }; +#endif +#else +#define VEC_PERM(vr, va, vb, vc) +#endif + +static unsigned int __attribute__ ((aligned (32))) +__crc32_vpmsum(unsigned int crc, const void* p, unsigned long len) { + + const __vector unsigned long long vzero = {0,0}; + const __vector unsigned long long vones = {0xffffffffffffffffUL, + 0xffffffffffffffffUL}; + +#ifdef REFLECT + const __vector unsigned long long vmask_32bit = + (__vector unsigned long long)vec_sld((__vector unsigned char)vzero, + (__vector unsigned char)vones, 4); +#endif + + const __vector unsigned long long vmask_64bit = + (__vector unsigned long long)vec_sld((__vector unsigned char)vzero, + (__vector unsigned char)vones, 8); + + __vector unsigned long long vcrc; + + __vector unsigned long long vconst1, vconst2; + + /* vdata0-vdata7 will contain our data (p). */ + __vector unsigned long long vdata0, vdata1, vdata2, vdata3, vdata4, + vdata5, vdata6, vdata7; + + /* v0-v7 will contain our checksums */ + __vector unsigned long long v0 = {0,0}; + __vector unsigned long long v1 = {0,0}; + __vector unsigned long long v2 = {0,0}; + __vector unsigned long long v3 = {0,0}; + __vector unsigned long long v4 = {0,0}; + __vector unsigned long long v5 = {0,0}; + __vector unsigned long long v6 = {0,0}; + __vector unsigned long long v7 = {0,0}; + + + /* Vector auxiliary variables. */ + __vector unsigned long long va0, va1, va2, va3, va4, va5, va6, va7; + + unsigned int result = 0; + unsigned int offset; /* Constant table offset. */ + + unsigned long i; /* Counter. */ + unsigned long chunks; + + unsigned long block_size; + int next_block = 0; + + /* Align by 128 bits. The last 128 bit block will be processed at end. */ + unsigned long length = len & 0xFFFFFFFFFFFFFF80UL; + +#ifdef REFLECT + vcrc = (__vector unsigned long long)__builtin_pack_vector(0UL, crc); +#else + vcrc = (__vector unsigned long long)__builtin_pack_vector(crc, 0UL); + + /* Shift into top 32 bits */ + vcrc = (__vector unsigned long long)vec_sld((__vector unsigned char)vcrc, + (__vector unsigned char)vzero, 4); +#endif + + /* Short version. */ + if (len < 256) { + /* Calculate where in the constant table we need to start. */ + offset = 256 - len; + + vconst1 = vec_ld(offset, vcrc_short_const); + vdata0 = vec_ld(0, (__vector unsigned long long*) p); + VEC_PERM(vdata0, vdata0, vconst1, vperm_const); + + /* xor initial value*/ + vdata0 = vec_xor(vdata0, vcrc); + + vdata0 = (__vector unsigned long long) __builtin_crypto_vpmsumw + ((__vector unsigned int)vdata0, (__vector unsigned int)vconst1); + v0 = vec_xor(v0, vdata0); + + for (i = 16; i < len; i += 16) { + vconst1 = vec_ld(offset + i, vcrc_short_const); + vdata0 = vec_ld(i, (__vector unsigned long long*) p); + VEC_PERM(vdata0, vdata0, vconst1, vperm_const); + vdata0 = (__vector unsigned long long) __builtin_crypto_vpmsumw + ((__vector unsigned int)vdata0, (__vector unsigned int)vconst1); + v0 = vec_xor(v0, vdata0); + } + } else { + + /* Load initial values. */ + vdata0 = vec_ld(0, (__vector unsigned long long*) p); + vdata1 = vec_ld(16, (__vector unsigned long long*) p); + + VEC_PERM(vdata0, vdata0, vdata0, vperm_const); + VEC_PERM(vdata1, vdata1, vdata1, vperm_const); + + vdata2 = vec_ld(32, (__vector unsigned long long*) p); + vdata3 = vec_ld(48, (__vector unsigned long long*) p); + + VEC_PERM(vdata2, vdata2, vdata2, vperm_const); + VEC_PERM(vdata3, vdata3, vdata3, vperm_const); + + vdata4 = vec_ld(64, (__vector unsigned long long*) p); + vdata5 = vec_ld(80, (__vector unsigned long long*) p); + + VEC_PERM(vdata4, vdata4, vdata4, vperm_const); + VEC_PERM(vdata5, vdata5, vdata5, vperm_const); + + vdata6 = vec_ld(96, (__vector unsigned long long*) p); + vdata7 = vec_ld(112, (__vector unsigned long long*) p); + + VEC_PERM(vdata6, vdata6, vdata6, vperm_const); + VEC_PERM(vdata7, vdata7, vdata7, vperm_const); + + /* xor in initial value */ + vdata0 = vec_xor(vdata0, vcrc); + + p = (char *)p + 128; + + do { + /* Checksum in blocks of MAX_SIZE. */ + block_size = length; + if (block_size > MAX_SIZE) { + block_size = MAX_SIZE; + } + + length = length - block_size; + + /* + * Work out the offset into the constants table to start at. Each + * constant is 16 bytes, and it is used against 128 bytes of input + * data - 128 / 16 = 8 + */ + offset = (MAX_SIZE/8) - (block_size/8); + /* We reduce our final 128 bytes in a separate step */ + chunks = (block_size/128)-1; + + vconst1 = vec_ld(offset, vcrc_const); + + va0 = __builtin_crypto_vpmsumd ((__vector unsigned long long)vdata0, + (__vector unsigned long long)vconst1); + va1 = __builtin_crypto_vpmsumd ((__vector unsigned long long)vdata1, + (__vector unsigned long long)vconst1); + va2 = __builtin_crypto_vpmsumd ((__vector unsigned long long)vdata2, + (__vector unsigned long long)vconst1); + va3 = __builtin_crypto_vpmsumd ((__vector unsigned long long)vdata3, + (__vector unsigned long long)vconst1); + va4 = __builtin_crypto_vpmsumd ((__vector unsigned long long)vdata4, + (__vector unsigned long long)vconst1); + va5 = __builtin_crypto_vpmsumd ((__vector unsigned long long)vdata5, + (__vector unsigned long long)vconst1); + va6 = __builtin_crypto_vpmsumd ((__vector unsigned long long)vdata6, + (__vector unsigned long long)vconst1); + va7 = __builtin_crypto_vpmsumd ((__vector unsigned long long)vdata7, + (__vector unsigned long long)vconst1); + + if (chunks > 1) { + offset += 16; + vconst2 = vec_ld(offset, vcrc_const); + GROUP_ENDING_NOP; + + vdata0 = vec_ld(0, (__vector unsigned long long*) p); + VEC_PERM(vdata0, vdata0, vdata0, vperm_const); + + vdata1 = vec_ld(16, (__vector unsigned long long*) p); + VEC_PERM(vdata1, vdata1, vdata1, vperm_const); + + vdata2 = vec_ld(32, (__vector unsigned long long*) p); + VEC_PERM(vdata2, vdata2, vdata2, vperm_const); + + vdata3 = vec_ld(48, (__vector unsigned long long*) p); + VEC_PERM(vdata3, vdata3, vdata3, vperm_const); + + vdata4 = vec_ld(64, (__vector unsigned long long*) p); + VEC_PERM(vdata4, vdata4, vdata4, vperm_const); + + vdata5 = vec_ld(80, (__vector unsigned long long*) p); + VEC_PERM(vdata5, vdata5, vdata5, vperm_const); + + vdata6 = vec_ld(96, (__vector unsigned long long*) p); + VEC_PERM(vdata6, vdata6, vdata6, vperm_const); + + vdata7 = vec_ld(112, (__vector unsigned long long*) p); + VEC_PERM(vdata7, vdata7, vdata7, vperm_const); + + p = (char *)p + 128; + + /* + * main loop. We modulo schedule it such that it takes three + * iterations to complete - first iteration load, second + * iteration vpmsum, third iteration xor. + */ + for (i = 0; i < chunks-2; i++) { + vconst1 = vec_ld(offset, vcrc_const); + offset += 16; + GROUP_ENDING_NOP; + + v0 = vec_xor(v0, va0); + va0 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata0, (__vector unsigned long long)vconst2); + vdata0 = vec_ld(0, (__vector unsigned long long*) p); + VEC_PERM(vdata0, vdata0, vdata0, vperm_const); + GROUP_ENDING_NOP; + + v1 = vec_xor(v1, va1); + va1 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata1, (__vector unsigned long long)vconst2); + vdata1 = vec_ld(16, (__vector unsigned long long*) p); + VEC_PERM(vdata1, vdata1, vdata1, vperm_const); + GROUP_ENDING_NOP; + + v2 = vec_xor(v2, va2); + va2 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata2, (__vector unsigned long long)vconst2); + vdata2 = vec_ld(32, (__vector unsigned long long*) p); + VEC_PERM(vdata2, vdata2, vdata2, vperm_const); + GROUP_ENDING_NOP; + + v3 = vec_xor(v3, va3); + va3 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata3, (__vector unsigned long long)vconst2); + vdata3 = vec_ld(48, (__vector unsigned long long*) p); + VEC_PERM(vdata3, vdata3, vdata3, vperm_const); + + vconst2 = vec_ld(offset, vcrc_const); + GROUP_ENDING_NOP; + + v4 = vec_xor(v4, va4); + va4 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata4, (__vector unsigned long long)vconst1); + vdata4 = vec_ld(64, (__vector unsigned long long*) p); + VEC_PERM(vdata4, vdata4, vdata4, vperm_const); + GROUP_ENDING_NOP; + + v5 = vec_xor(v5, va5); + va5 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata5, (__vector unsigned long long)vconst1); + vdata5 = vec_ld(80, (__vector unsigned long long*) p); + VEC_PERM(vdata5, vdata5, vdata5, vperm_const); + GROUP_ENDING_NOP; + + v6 = vec_xor(v6, va6); + va6 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata6, (__vector unsigned long long)vconst1); + vdata6 = vec_ld(96, (__vector unsigned long long*) p); + VEC_PERM(vdata6, vdata6, vdata6, vperm_const); + GROUP_ENDING_NOP; + + v7 = vec_xor(v7, va7); + va7 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata7, (__vector unsigned long long)vconst1); + vdata7 = vec_ld(112, (__vector unsigned long long*) p); + VEC_PERM(vdata7, vdata7, vdata7, vperm_const); + + p = (char *)p + 128; + } + + /* First cool down*/ + vconst1 = vec_ld(offset, vcrc_const); + offset += 16; + + v0 = vec_xor(v0, va0); + va0 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata0, (__vector unsigned long long)vconst1); + GROUP_ENDING_NOP; + + v1 = vec_xor(v1, va1); + va1 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata1, (__vector unsigned long long)vconst1); + GROUP_ENDING_NOP; + + v2 = vec_xor(v2, va2); + va2 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata2, (__vector unsigned long long)vconst1); + GROUP_ENDING_NOP; + + v3 = vec_xor(v3, va3); + va3 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata3, (__vector unsigned long long)vconst1); + GROUP_ENDING_NOP; + + v4 = vec_xor(v4, va4); + va4 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata4, (__vector unsigned long long)vconst1); + GROUP_ENDING_NOP; + + v5 = vec_xor(v5, va5); + va5 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata5, (__vector unsigned long long)vconst1); + GROUP_ENDING_NOP; + + v6 = vec_xor(v6, va6); + va6 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata6, (__vector unsigned long long)vconst1); + GROUP_ENDING_NOP; + + v7 = vec_xor(v7, va7); + va7 = __builtin_crypto_vpmsumd ((__vector unsigned long + long)vdata7, (__vector unsigned long long)vconst1); + }/* else */ + + /* Second cool down. */ + v0 = vec_xor(v0, va0); + v1 = vec_xor(v1, va1); + v2 = vec_xor(v2, va2); + v3 = vec_xor(v3, va3); + v4 = vec_xor(v4, va4); + v5 = vec_xor(v5, va5); + v6 = vec_xor(v6, va6); + v7 = vec_xor(v7, va7); + +#ifdef REFLECT + /* + * vpmsumd produces a 96 bit result in the least significant bits + * of the register. Since we are bit reflected we have to shift it + * left 32 bits so it occupies the least significant bits in the + * bit reflected domain. + */ + v0 = (__vector unsigned long long)vec_sld((__vector unsigned char)v0, + (__vector unsigned char)vzero, 4); + v1 = (__vector unsigned long long)vec_sld((__vector unsigned char)v1, + (__vector unsigned char)vzero, 4); + v2 = (__vector unsigned long long)vec_sld((__vector unsigned char)v2, + (__vector unsigned char)vzero, 4); + v3 = (__vector unsigned long long)vec_sld((__vector unsigned char)v3, + (__vector unsigned char)vzero, 4); + v4 = (__vector unsigned long long)vec_sld((__vector unsigned char)v4, + (__vector unsigned char)vzero, 4); + v5 = (__vector unsigned long long)vec_sld((__vector unsigned char)v5, + (__vector unsigned char)vzero, 4); + v6 = (__vector unsigned long long)vec_sld((__vector unsigned char)v6, + (__vector unsigned char)vzero, 4); + v7 = (__vector unsigned long long)vec_sld((__vector unsigned char)v7, + (__vector unsigned char)vzero, 4); +#endif + + /* xor with the last 1024 bits. */ + va0 = vec_ld(0, (__vector unsigned long long*) p); + VEC_PERM(va0, va0, va0, vperm_const); + + va1 = vec_ld(16, (__vector unsigned long long*) p); + VEC_PERM(va1, va1, va1, vperm_const); + + va2 = vec_ld(32, (__vector unsigned long long*) p); + VEC_PERM(va2, va2, va2, vperm_const); + + va3 = vec_ld(48, (__vector unsigned long long*) p); + VEC_PERM(va3, va3, va3, vperm_const); + + va4 = vec_ld(64, (__vector unsigned long long*) p); + VEC_PERM(va4, va4, va4, vperm_const); + + va5 = vec_ld(80, (__vector unsigned long long*) p); + VEC_PERM(va5, va5, va5, vperm_const); + + va6 = vec_ld(96, (__vector unsigned long long*) p); + VEC_PERM(va6, va6, va6, vperm_const); + + va7 = vec_ld(112, (__vector unsigned long long*) p); + VEC_PERM(va7, va7, va7, vperm_const); + + p = (char *)p + 128; + + vdata0 = vec_xor(v0, va0); + vdata1 = vec_xor(v1, va1); + vdata2 = vec_xor(v2, va2); + vdata3 = vec_xor(v3, va3); + vdata4 = vec_xor(v4, va4); + vdata5 = vec_xor(v5, va5); + vdata6 = vec_xor(v6, va6); + vdata7 = vec_xor(v7, va7); + + /* Check if we have more blocks to process */ + next_block = 0; + if (length != 0) { + next_block = 1; + + /* zero v0-v7 */ + v0 = vec_xor(v0, v0); + v1 = vec_xor(v1, v1); + v2 = vec_xor(v2, v2); + v3 = vec_xor(v3, v3); + v4 = vec_xor(v4, v4); + v5 = vec_xor(v5, v5); + v6 = vec_xor(v6, v6); + v7 = vec_xor(v7, v7); + } + length = length + 128; + + } while (next_block); + + /* Calculate how many bytes we have left. */ + length = (len & 127); + + /* Calculate where in (short) constant table we need to start. */ + offset = 128 - length; + + v0 = vec_ld(offset, vcrc_short_const); + v1 = vec_ld(offset + 16, vcrc_short_const); + v2 = vec_ld(offset + 32, vcrc_short_const); + v3 = vec_ld(offset + 48, vcrc_short_const); + v4 = vec_ld(offset + 64, vcrc_short_const); + v5 = vec_ld(offset + 80, vcrc_short_const); + v6 = vec_ld(offset + 96, vcrc_short_const); + v7 = vec_ld(offset + 112, vcrc_short_const); + + offset += 128; + + v0 = (__vector unsigned long long)__builtin_crypto_vpmsumw ( + (__vector unsigned int)vdata0,(__vector unsigned int)v0); + v1 = (__vector unsigned long long)__builtin_crypto_vpmsumw ( + (__vector unsigned int)vdata1,(__vector unsigned int)v1); + v2 = (__vector unsigned long long)__builtin_crypto_vpmsumw ( + (__vector unsigned int)vdata2,(__vector unsigned int)v2); + v3 = (__vector unsigned long long)__builtin_crypto_vpmsumw ( + (__vector unsigned int)vdata3,(__vector unsigned int)v3); + v4 = (__vector unsigned long long)__builtin_crypto_vpmsumw ( + (__vector unsigned int)vdata4,(__vector unsigned int)v4); + v5 = (__vector unsigned long long)__builtin_crypto_vpmsumw ( + (__vector unsigned int)vdata5,(__vector unsigned int)v5); + v6 = (__vector unsigned long long)__builtin_crypto_vpmsumw ( + (__vector unsigned int)vdata6,(__vector unsigned int)v6); + v7 = (__vector unsigned long long)__builtin_crypto_vpmsumw ( + (__vector unsigned int)vdata7,(__vector unsigned int)v7); + + /* Now reduce the tail (0-112 bytes). */ + for (i = 0; i < length; i+=16) { + vdata0 = vec_ld(i,(__vector unsigned long long*)p); + VEC_PERM(vdata0, vdata0, vdata0, vperm_const); + va0 = vec_ld(offset + i,vcrc_short_const); + va0 = (__vector unsigned long long)__builtin_crypto_vpmsumw ( + (__vector unsigned int)vdata0,(__vector unsigned int)va0); + v0 = vec_xor(v0, va0); + } + + /* xor all parallel chunks together. */ + v0 = vec_xor(v0, v1); + v2 = vec_xor(v2, v3); + v4 = vec_xor(v4, v5); + v6 = vec_xor(v6, v7); + + v0 = vec_xor(v0, v2); + v4 = vec_xor(v4, v6); + + v0 = vec_xor(v0, v4); + } + + /* Barrett Reduction */ + vconst1 = vec_ld(0, v_Barrett_const); + vconst2 = vec_ld(16, v_Barrett_const); + + v1 = (__vector unsigned long long)vec_sld((__vector unsigned char)v0, + (__vector unsigned char)v0, 8); + v0 = vec_xor(v1,v0); + +#ifdef REFLECT + /* shift left one bit */ + __vector unsigned char vsht_splat = vec_splat_u8 (1); + v0 = (__vector unsigned long long)vec_sll ((__vector unsigned char)v0, + vsht_splat); +#endif + + v0 = vec_and(v0, vmask_64bit); + +#ifndef REFLECT + + /* + * Now for the actual algorithm. The idea is to calculate q, + * the multiple of our polynomial that we need to subtract. By + * doing the computation 2x bits higher (ie 64 bits) and shifting the + * result back down 2x bits, we round down to the nearest multiple. + */ + + /* ma */ + v1 = __builtin_crypto_vpmsumd ((__vector unsigned long long)v0, + (__vector unsigned long long)vconst1); + /* q = floor(ma/(2^64)) */ + v1 = (__vector unsigned long long)vec_sld ((__vector unsigned char)vzero, + (__vector unsigned char)v1, 8); + /* qn */ + v1 = __builtin_crypto_vpmsumd ((__vector unsigned long long)v1, + (__vector unsigned long long)vconst2); + /* a - qn, subtraction is xor in GF(2) */ + v0 = vec_xor (v0, v1); + /* + * Get the result into r3. We need to shift it left 8 bytes: + * V0 [ 0 1 2 X ] + * V0 [ 0 X 2 3 ] + */ + result = __builtin_unpack_vector_1 (v0); +#else + + /* + * The reflected version of Barrett reduction. Instead of bit + * reflecting our data (which is expensive to do), we bit reflect our + * constants and our algorithm, which means the intermediate data in + * our vector registers goes from 0-63 instead of 63-0. We can reflect + * the algorithm because we don't carry in mod 2 arithmetic. + */ + + /* bottom 32 bits of a */ + v1 = vec_and(v0, vmask_32bit); + + /* ma */ + v1 = __builtin_crypto_vpmsumd ((__vector unsigned long long)v1, + (__vector unsigned long long)vconst1); + + /* bottom 32bits of ma */ + v1 = vec_and(v1, vmask_32bit); + /* qn */ + v1 = __builtin_crypto_vpmsumd ((__vector unsigned long long)v1, + (__vector unsigned long long)vconst2); + /* a - qn, subtraction is xor in GF(2) */ + v0 = vec_xor (v0, v1); + + /* + * Since we are bit reflected, the result (ie the low 32 bits) is in + * the high 32 bits. We just need to shift it left 4 bytes + * V0 [ 0 1 X 3 ] + * V0 [ 0 X 2 3 ] + */ + + /* shift result into top 64 bits of */ + v0 = (__vector unsigned long long)vec_sld((__vector unsigned char)v0, + (__vector unsigned char)vzero, 4); + + result = __builtin_unpack_vector_0 (v0); +#endif + + return result; +} Index: zlib-1.2.11/Makefile.in =================================================================== --- zlib-1.2.11.orig/Makefile.in +++ zlib-1.2.11/Makefile.in @@ -162,6 +162,9 @@ adler32.o: $(SRCDIR)adler32.c crc32.o: $(SRCDIR)crc32.c $(CC) $(CFLAGS) $(ZINC) -c -o $@ $(SRCDIR)crc32.c +crc32_power8.o: $(SRCDIR)contrib/power8-crc/vec_crc32.c + $(CC) $(CFLAGS) $(ZINC) -c -o $@ $(SRCDIR)contrib/power8-crc/vec_crc32.c + deflate.o: $(SRCDIR)deflate.c $(CC) $(CFLAGS) $(ZINC) -c -o $@ $(SRCDIR)deflate.c @@ -212,6 +215,11 @@ crc32.lo: $(SRCDIR)crc32.c $(CC) $(SFLAGS) $(ZINC) -DPIC -c -o objs/crc32.o $(SRCDIR)crc32.c -@mv objs/crc32.o $@ +crc32_power8.lo: $(SRCDIR)contrib/power8-crc/vec_crc32.c + -@mkdir objs 2>/dev/null || test -d objs + $(CC) $(SFLAGS) $(ZINC) -DPIC -c -o objs/crc32_power8.o $(SRCDIR)contrib/power8-crc/vec_crc32.c + -@mv objs/crc32_power8.o $@ + deflate.lo: $(SRCDIR)deflate.c -@mkdir objs 2>/dev/null || test -d objs $(CC) $(SFLAGS) $(ZINC) -DPIC -c -o objs/deflate.o $(SRCDIR)deflate.c Index: zlib-1.2.11/configure =================================================================== --- zlib-1.2.11.orig/configure +++ zlib-1.2.11/configure @@ -826,6 +826,91 @@ EOF fi fi +# test to see if Power8+ implementation is compile time possible +echo >> configure.log +cat > $test.c <<EOF +#if _ARCH_PWR8==1 + +#if __BYTE_ORDER == __BIG_ENDIAN && defined(__clang__) +#error "Clang vector instructions aren't big endian compatible" +#endif + +#if defined(__BUILTIN_CPU_SUPPORTS__) +/* good and easy */ +#else +#include <sys/auxv.h> +#include <bits/hwcap.h> +int main() +{ + return (getauxval(AT_HWCAP2) & PPC_FEATURE2_ARCH_2_07); +} +#endif + +#else +#error No Power 8 or newer architecture, may need -mcpu=power8 +#endif +EOF + +if tryboth $CC -c $CFLAGS $test.c; then + OBJC="$OBJC crc32_power8.o" + PIC_OBJC="$PIC_OBJC crc32_power8.lo" + echo "Checking for runtime cpu detection and Power 8 (or newer) Architecture support... Yes." | tee -a configure.log +else + echo "Checking for runtime cpu detection and Power 8 (or newer) Architecture support... No." | tee -a configure.log +fi + +# test to see if we can use a gnu indirection function to detect and load optimized code at runtime +echo >> configure.log +cat > $test.c <<EOF +static unsigned int crc32_real_optimized(unsigned int crc, unsigned char *p, + unsigned long len) +{ + return 1; +} + +static unsigned int (*(crc32_ifunc(void)))(unsigned int, unsigned char *,unsigned long) +{ + return crc32_real_optimized; +} + +unsigned int crc32(unsigned int, unsigned char *,unsigned long) + __attribute__ ((ifunc ("crc32_ifunc"))); +EOF + +if tryboth $CC -c $CFLAGS $test.c; then + SFLAGS="${SFLAGS} -DZ_IFUNC_NATIVE" + echo "Checking for attribute(ifunc) support... Yes." | tee -a configure.log +else + echo "Checking for attribute(ifunc) support... No." | tee -a configure.log + + # alternately can we can use a gnu indirection using __asm__ attributes to detect and load optimized code at runtime + echo >> configure.log + cat > $test.c <<EOF +static unsigned int crc32_real_optimized(unsigned int crc, unsigned char *p, + unsigned long len) +{ + return 1; +} + +static unsigned int (*(crc32_ifunc(void)))(unsigned int, unsigned char *,unsigned long) + __asm__ ("crc32"); + +static unsigned int (*(crc32_ifunc(void)))(unsigned int, unsigned char *,unsigned long) +{ + return crc32_real_optimized; +} + +__asm__(".type crc32, %gnu_indirect_function"); +EOF + + if tryboth $CC -c $CFLAGS $test.c; then + SFLAGS="${SFLAGS} -DZ_IFUNC_ASM" + echo "Checking for asm .type %gnu_indirect_function support... Yes." | tee -a configure.log + else + echo "Checking for asm .type %gnu_indirect_function support... No." | tee -a configure.log + fi +fi + # show the results in the log echo >> configure.log echo ALL = $ALL >> configure.log Index: zlib-1.2.11/crc32.c =================================================================== --- zlib-1.2.11.orig/crc32.c +++ zlib-1.2.11/crc32.c @@ -199,13 +199,78 @@ const z_crc_t FAR * ZEXPORT get_crc_tabl #define DO8 DO1; DO1; DO1; DO1; DO1; DO1; DO1; DO1 /* ========================================================================= */ -unsigned long ZEXPORT crc32_z(crc, buf, len) +local +unsigned long ZEXPORT crc32_table_lookup(crc, buf, len) unsigned long crc; const unsigned char FAR *buf; z_size_t len; { if (buf == Z_NULL) return 0UL; + crc = crc ^ 0xffffffffUL; + while (len >= 8) { + DO8; + len -= 8; + } + if (len) do { + DO1; + } while (--len); + return crc ^ 0xffffffffUL; +} + +/* Small helper function to compare optfun against the reference table lookup + * return test_ref_comparision_##optfn in crc32_z_ifunc +#include <assert.h> +#define TEST_COMPARE(optfn) \ + static unsigned long test_ref_comparision_ ## optfn(unsigned long crc, const unsigned char FAR *p, z_size_t len) \ + { \ + unsigned long crc_tbl_lookup = crc32_table_lookup(crc, p, len); \ + unsigned long optcrc = optfn(crc, p, len); \ + assert( optcrc == crc_tbl_lookup ); \ + return optcrc; \ + } +*/ + +#ifdef Z_IFUNC_ASM +unsigned long (*(crc32_z_ifunc(void)))(unsigned long, const unsigned char FAR *, z_size_t) + __asm__ ("crc32_z"); +__asm__(".type crc32_z, %gnu_indirect_function"); +#elif defined(Z_IFUNC_NATIVE) +unsigned long ZEXPORT crc32_z( + unsigned long crc, + const unsigned char FAR *buf, + z_size_t len) + __attribute__ ((ifunc ("crc32_z_ifunc"))); +#endif + +#if _ARCH_PWR8==1 +unsigned long crc32_vpmsum(unsigned long, const unsigned char FAR *, z_size_t); +/* for testing TEST_COMPARE(crc32_vpmsum) */ +#ifndef __BUILTIN_CPU_SUPPORTS__ +#include <sys/auxv.h> +#include <bits/hwcap.h> +#endif +#endif + +/* due to a quirk of gnu_indirect_function - "local" (aka static) is applied to + * crc32_z which is not desired. crc32_z_ifunc is implictly "local" */ +#ifndef Z_IFUNC_ASM +local +#endif +unsigned long (*(crc32_z_ifunc(void)))(unsigned long, const unsigned char FAR *, z_size_t) +{ +#if _ARCH_PWR8==1 +#if defined(__BUILTIN_CPU_SUPPORTS__) + if (__builtin_cpu_supports("arch_2_07")) + return crc32_vpmsum; +#else + if (getauxval(AT_HWCAP2) & PPC_FEATURE2_ARCH_2_07) + return crc32_vpmsum; +#endif +#endif /* _ARCH_PWR8 */ + +/* return a function pointer for optimized arches here */ + #ifdef DYNAMIC_CRC_TABLE if (crc_table_empty) make_crc_table(); @@ -217,22 +282,31 @@ unsigned long ZEXPORT crc32_z(crc, buf, endian = 1; if (*((unsigned char *)(&endian))) - return crc32_little(crc, buf, len); + return crc32_little; else - return crc32_big(crc, buf, len); + return crc32_big; } #endif /* BYFOUR */ - crc = crc ^ 0xffffffffUL; - while (len >= 8) { - DO8; - len -= 8; - } - if (len) do { - DO1; - } while (--len); - return crc ^ 0xffffffffUL; + + return crc32_table_lookup; +} + +#if !defined(Z_IFUNC_ASM) && !defined(Z_IFUNC_NATIVE) + +unsigned long ZEXPORT crc32_z(crc, buf, len) + unsigned long crc; + const unsigned char FAR *buf; + z_size_t len; +{ + static unsigned long ZEXPORT (*crc32_func)(unsigned long, const unsigned char FAR *, z_size_t) = NULL; + + if (!crc32_func) + crc32_func = crc32_z_ifunc(); + return (*crc32_func)(crc, buf, len); } +#endif /* defined(Z_IFUNC_ASM) || defined(Z_IFUNC_NATIVE) */ + /* ========================================================================= */ unsigned long ZEXPORT crc32(crc, buf, len) unsigned long crc; @@ -271,6 +345,7 @@ local unsigned long crc32_little(crc, bu register z_crc_t c; register const z_crc_t FAR *buf4; + if (buf == Z_NULL) return 0UL; c = (z_crc_t)crc; c = ~c; while (len && ((ptrdiff_t)buf & 3)) { @@ -311,6 +386,7 @@ local unsigned long crc32_big(crc, buf, register z_crc_t c; register const z_crc_t FAR *buf4; + if (buf == Z_NULL) return 0UL; c = ZSWAP32((z_crc_t)crc); c = ~c; while (len && ((ptrdiff_t)buf & 3)) {
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