diff options
Diffstat (limited to '')
| -rw-r--r-- | mysys/crc32/clang_workaround.h | 87 | ||||
| -rw-r--r-- | mysys/crc32/crc32_arm64.c | 340 | ||||
| -rw-r--r-- | mysys/crc32/crc32_ppc64.c | 5 | ||||
| -rw-r--r-- | mysys/crc32/crc32_x86.c | 334 | ||||
| -rw-r--r-- | mysys/crc32/crc32c.cc | 597 | ||||
| -rw-r--r-- | mysys/crc32/crc32c_amd64.cc | 711 | ||||
| -rw-r--r-- | mysys/crc32/crc32c_ppc.c | 5 | ||||
| -rw-r--r-- | mysys/crc32/crc32c_ppc.h | 19 | ||||
| -rw-r--r-- | mysys/crc32/crc_ppc64.h | 664 | ||||
| -rw-r--r-- | mysys/crc32/pcc_crc32_constants.h | 1206 | ||||
| -rw-r--r-- | mysys/crc32/pcc_crc32c_constants.h | 1206 | ||||
| -rw-r--r-- | mysys/crc32ieee.cc | 61 |
12 files changed, 5235 insertions, 0 deletions
diff --git a/mysys/crc32/clang_workaround.h b/mysys/crc32/clang_workaround.h new file mode 100644 index 00000000..915f7e52 --- /dev/null +++ b/mysys/crc32/clang_workaround.h @@ -0,0 +1,87 @@ +#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; +} + +/* + * Clang 7 changed the behavior of vec_xxpermdi in order to provide the same + * behavior of GCC. That means code adapted to Clang >= 7 does not work on + * Clang <= 6. So, fallback to __builtin_unpack_vector() on Clang <= 6. + */ +#if !defined vec_xxpermdi || __clang_major__ <= 6 + +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)[0]; + #else + return vec_xxpermdi(__v, __v, 0x3)[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)[0]; + #else + return vec_xxpermdi(__v, __v, 0x0)[0]; + #endif +} +#endif /* vec_xxpermdi */ + +#endif diff --git a/mysys/crc32/crc32_arm64.c b/mysys/crc32/crc32_arm64.c new file mode 100644 index 00000000..0e70c218 --- /dev/null +++ b/mysys/crc32/crc32_arm64.c @@ -0,0 +1,340 @@ +#include <my_global.h> +#include <string.h> +#include <stdint.h> + +static int pmull_supported; + +#if defined(HAVE_ARMV8_CRC) + +#if defined(__APPLE__) +#include <sys/sysctl.h> + +int crc32_aarch64_available(void) +{ + int ret; + size_t len = sizeof(ret); + if (sysctlbyname("hw.optional.armv8_crc32", &ret, &len, NULL, 0) == -1) + return 0; + return ret; +} + +const char *crc32c_aarch64_available(void) +{ + if (crc32_aarch64_available() == 0) + return NULL; + pmull_supported = 1; + return "Using ARMv8 crc32 + pmull instructions"; +} + +#else +#include <sys/auxv.h> +#if defined(__FreeBSD__) +static unsigned long getauxval(unsigned int key) +{ + unsigned long val; + if (elf_aux_info(key, (void *)&val, (int)sizeof(val) != 0) + return 0ul; + return val; +} +#else +# include <asm/hwcap.h> +#endif + +#ifndef HWCAP_CRC32 +# define HWCAP_CRC32 (1 << 7) +#endif + +#ifndef HWCAP_PMULL +# define HWCAP_PMULL (1 << 4) +#endif + +/* ARM made crc32 default from ARMv8.1 but optional in ARMv8A + * Runtime check API. + */ +int crc32_aarch64_available(void) +{ + unsigned long auxv= getauxval(AT_HWCAP); + return (auxv & HWCAP_CRC32) != 0; +} + +const char *crc32c_aarch64_available(void) +{ + unsigned long auxv= getauxval(AT_HWCAP); + + if (!(auxv & HWCAP_CRC32)) + return NULL; + + pmull_supported= (auxv & HWCAP_PMULL) != 0; + if (pmull_supported) + return "Using ARMv8 crc32 + pmull instructions"; + else + return "Using ARMv8 crc32 instructions"; +} + +#endif /* __APPLE__ */ +#endif /* HAVE_ARMV8_CRC */ + +#ifndef HAVE_ARMV8_CRC_CRYPTO_INTRINSICS + +/* Request crc extension capabilities from the assembler */ +asm(".arch_extension crc"); + +# ifdef HAVE_ARMV8_CRYPTO +/* crypto extension */ +asm(".arch_extension crypto"); +# endif + +#define CRC32CX(crc, value) __asm__("crc32cx %w[c], %w[c], %x[v]":[c]"+r"(crc):[v]"r"(value)) +#define CRC32CW(crc, value) __asm__("crc32cw %w[c], %w[c], %w[v]":[c]"+r"(crc):[v]"r"(value)) +#define CRC32CH(crc, value) __asm__("crc32ch %w[c], %w[c], %w[v]":[c]"+r"(crc):[v]"r"(value)) +#define CRC32CB(crc, value) __asm__("crc32cb %w[c], %w[c], %w[v]":[c]"+r"(crc):[v]"r"(value)) + +#define CRC32X(crc, value) __asm__("crc32x %w[c], %w[c], %x[v]":[c]"+r"(crc):[v]"r"(value)) +#define CRC32W(crc, value) __asm__("crc32w %w[c], %w[c], %w[v]":[c]"+r"(crc):[v]"r"(value)) +#define CRC32H(crc, value) __asm__("crc32h %w[c], %w[c], %w[v]":[c]"+r"(crc):[v]"r"(value)) +#define CRC32B(crc, value) __asm__("crc32b %w[c], %w[c], %w[v]":[c]"+r"(crc):[v]"r"(value)) + + +#define CRC32C3X8(buffer, ITR) \ + __asm__("crc32cx %w[c1], %w[c1], %x[v]":[c1]"+r"(crc1):[v]"r"(*((const uint64_t *)buffer + 42*1 + (ITR))));\ + __asm__("crc32cx %w[c2], %w[c2], %x[v]":[c2]"+r"(crc2):[v]"r"(*((const uint64_t *)buffer + 42*2 + (ITR))));\ + __asm__("crc32cx %w[c0], %w[c0], %x[v]":[c0]"+r"(crc0):[v]"r"(*((const uint64_t *)buffer + 42*0 + (ITR)))); + +#else /* HAVE_ARMV8_CRC_CRYPTO_INTRINSICS */ + +/* Intrinsics header*/ +#include <arm_acle.h> +#include <arm_neon.h> + +#define CRC32CX(crc, value) (crc) = __crc32cd((crc), (value)) +#define CRC32CW(crc, value) (crc) = __crc32cw((crc), (value)) +#define CRC32CH(crc, value) (crc) = __crc32ch((crc), (value)) +#define CRC32CB(crc, value) (crc) = __crc32cb((crc), (value)) + +#define CRC32X(crc, value) (crc) = __crc32d((crc), (value)) +#define CRC32W(crc, value) (crc) = __crc32w((crc), (value)) +#define CRC32H(crc, value) (crc) = __crc32h((crc), (value)) +#define CRC32B(crc, value) (crc) = __crc32b((crc), (value)) + +#define CRC32C3X8(buffer, ITR) \ + crc1 = __crc32cd(crc1, *((const uint64_t *)buffer + 42*1 + (ITR)));\ + crc2 = __crc32cd(crc2, *((const uint64_t *)buffer + 42*2 + (ITR)));\ + crc0 = __crc32cd(crc0, *((const uint64_t *)buffer + 42*0 + (ITR))); + +#endif /* HAVE_ARMV8_CRC_CRYPTO_INTRINSICS */ + +#define CRC32C7X3X8(buffer, ITR) do {\ + CRC32C3X8(buffer, ((ITR) * 7 + 0)) \ + CRC32C3X8(buffer, ((ITR) * 7 + 1)) \ + CRC32C3X8(buffer, ((ITR) * 7 + 2)) \ + CRC32C3X8(buffer, ((ITR) * 7 + 3)) \ + CRC32C3X8(buffer, ((ITR) * 7 + 4)) \ + CRC32C3X8(buffer, ((ITR) * 7 + 5)) \ + CRC32C3X8(buffer, ((ITR) * 7 + 6)) \ +} while(0) + +#define PREF4X64L1(buffer, PREF_OFFSET, ITR) \ + __asm__("PRFM PLDL1KEEP, [%x[v],%[c]]"::[v]"r"(buffer), [c]"I"((PREF_OFFSET) + ((ITR) + 0)*64));\ + __asm__("PRFM PLDL1KEEP, [%x[v],%[c]]"::[v]"r"(buffer), [c]"I"((PREF_OFFSET) + ((ITR) + 1)*64));\ + __asm__("PRFM PLDL1KEEP, [%x[v],%[c]]"::[v]"r"(buffer), [c]"I"((PREF_OFFSET) + ((ITR) + 2)*64));\ + __asm__("PRFM PLDL1KEEP, [%x[v],%[c]]"::[v]"r"(buffer), [c]"I"((PREF_OFFSET) + ((ITR) + 3)*64)); + +#define PREF1KL1(buffer, PREF_OFFSET) \ + PREF4X64L1(buffer,(PREF_OFFSET), 0) \ + PREF4X64L1(buffer,(PREF_OFFSET), 4) \ + PREF4X64L1(buffer,(PREF_OFFSET), 8) \ + PREF4X64L1(buffer,(PREF_OFFSET), 12) + +#define PREF4X64L2(buffer, PREF_OFFSET, ITR) \ + __asm__("PRFM PLDL2KEEP, [%x[v],%[c]]"::[v]"r"(buffer), [c]"I"((PREF_OFFSET) + ((ITR) + 0)*64));\ + __asm__("PRFM PLDL2KEEP, [%x[v],%[c]]"::[v]"r"(buffer), [c]"I"((PREF_OFFSET) + ((ITR) + 1)*64));\ + __asm__("PRFM PLDL2KEEP, [%x[v],%[c]]"::[v]"r"(buffer), [c]"I"((PREF_OFFSET) + ((ITR) + 2)*64));\ + __asm__("PRFM PLDL2KEEP, [%x[v],%[c]]"::[v]"r"(buffer), [c]"I"((PREF_OFFSET) + ((ITR) + 3)*64)); + +#define PREF1KL2(buffer, PREF_OFFSET) \ + PREF4X64L2(buffer,(PREF_OFFSET), 0) \ + PREF4X64L2(buffer,(PREF_OFFSET), 4) \ + PREF4X64L2(buffer,(PREF_OFFSET), 8) \ + PREF4X64L2(buffer,(PREF_OFFSET), 12) + +uint32_t crc32c_aarch64(uint32_t crc, const unsigned char *buffer, uint64_t len) +{ + uint32_t crc0, crc1, crc2; + int64_t length= (int64_t)len; + + crc^= 0xffffffff; + + /* Pmull runtime check here. + * Raspberry Pi 4 supports crc32 but doesn't support pmull (MDEV-23030). + * + * Consider the condition that the target platform does support hardware crc32 + * but not support PMULL. In this condition, it should leverage the aarch64 + * crc32 instruction (__crc32c) and just only skip parallel computation (pmull/vmull) + * rather than skip all hardware crc32 instruction of computation. + */ + if (pmull_supported) + { +/* The following Macro (HAVE_ARMV8_CRYPTO) is used for compiling check */ +#ifdef HAVE_ARMV8_CRYPTO + +/* Crypto extension Support + * Parallel computation with 1024 Bytes (per block) + * Intrinsics Support + */ +# ifdef HAVE_ARMV8_CRC_CRYPTO_INTRINSICS + const poly64_t k1= 0xe417f38a, k2= 0x8f158014; + uint64_t t0, t1; + + /* Process per block size of 1024 Bytes + * A block size = 8 + 42*3*sizeof(uint64_t) + 8 + */ + while ((length-= 1024) >= 0) + { + /* Prefetch 3*1024 data for avoiding L2 cache miss */ + PREF1KL2(buffer, 1024*3); + /* Do first 8 bytes here for better pipelining */ + crc0= __crc32cd(crc, *(const uint64_t *)buffer); + crc1= 0; + crc2= 0; + buffer+= sizeof(uint64_t); + + /* Process block inline + * Process crc0 last to avoid dependency with above + */ + CRC32C7X3X8(buffer, 0); + CRC32C7X3X8(buffer, 1); + CRC32C7X3X8(buffer, 2); + CRC32C7X3X8(buffer, 3); + CRC32C7X3X8(buffer, 4); + CRC32C7X3X8(buffer, 5); + + buffer+= 42*3*sizeof(uint64_t); + /* Prefetch data for following block to avoid L1 cache miss */ + PREF1KL1(buffer, 1024); + + /* Last 8 bytes + * Merge crc0 and crc1 into crc2 + * crc1 multiply by K2 + * crc0 multiply by K1 + */ + t1= (uint64_t)vmull_p64(crc1, k2); + t0= (uint64_t)vmull_p64(crc0, k1); + crc= __crc32cd(crc2, *(const uint64_t *)buffer); + crc1= __crc32cd(0, t1); + crc^= crc1; + crc0= __crc32cd(0, t0); + crc^= crc0; + + buffer+= sizeof(uint64_t); + } + +# else /* HAVE_ARMV8_CRC_CRYPTO_INTRINSICS */ + + /*No intrinsics*/ + __asm__("mov x16, #0xf38a \n\t" + "movk x16, #0xe417, lsl 16 \n\t" + "mov v1.2d[0], x16 \n\t" + "mov x16, #0x8014 \n\t" + "movk x16, #0x8f15, lsl 16 \n\t" + "mov v0.2d[0], x16 \n\t" + :::"x16"); + + while ((length-= 1024) >= 0) + { + PREF1KL2(buffer, 1024*3); + __asm__("crc32cx %w[c0], %w[c], %x[v]\n\t" + :[c0]"=r"(crc0):[c]"r"(crc), [v]"r"(*(const uint64_t *)buffer):); + crc1= 0; + crc2= 0; + buffer+= sizeof(uint64_t); + + CRC32C7X3X8(buffer, 0); + CRC32C7X3X8(buffer, 1); + CRC32C7X3X8(buffer, 2); + CRC32C7X3X8(buffer, 3); + CRC32C7X3X8(buffer, 4); + CRC32C7X3X8(buffer, 5); + + buffer+= 42*3*sizeof(uint64_t); + PREF1KL1(buffer, 1024); + __asm__("mov v2.2d[0], %x[c1] \n\t" + "pmull v2.1q, v2.1d, v0.1d \n\t" + "mov v3.2d[0], %x[c0] \n\t" + "pmull v3.1q, v3.1d, v1.1d \n\t" + "crc32cx %w[c], %w[c2], %x[v] \n\t" + "mov %x[c1], v2.2d[0] \n\t" + "crc32cx %w[c1], wzr, %x[c1] \n\t" + "eor %w[c], %w[c], %w[c1] \n\t" + "mov %x[c0], v3.2d[0] \n\t" + "crc32cx %w[c0], wzr, %x[c0] \n\t" + "eor %w[c], %w[c], %w[c0] \n\t" + :[c1]"+r"(crc1), [c0]"+r"(crc0), [c2]"+r"(crc2), [c]"+r"(crc) + :[v]"r"(*((const uint64_t *)buffer))); + buffer+= sizeof(uint64_t); + } +# endif /* HAVE_ARMV8_CRC_CRYPTO_INTRINSICS */ + + /* Done if Input data size is aligned with 1024 */ + if (!(length+= 1024)) + return ~crc; + +#endif /* HAVE_ARMV8_CRYPTO */ + + } // end if pmull_supported + + while ((length-= sizeof(uint64_t)) >= 0) + { + CRC32CX(crc, *(uint64_t *)buffer); + buffer+= sizeof(uint64_t); + } + + /* The following is more efficient than the straight loop */ + if (length & sizeof(uint32_t)) + { + CRC32CW(crc, *(uint32_t *)buffer); + buffer+= sizeof(uint32_t); + } + + if (length & sizeof(uint16_t)) + { + CRC32CH(crc, *(uint16_t *)buffer); + buffer+= sizeof(uint16_t); + } + + if (length & sizeof(uint8_t)) + CRC32CB(crc, *buffer); + + return ~crc; +} + +/* There are multiple approaches to calculate crc. +Approach-1: Process 8 bytes then 4 bytes then 2 bytes and then 1 bytes +Approach-2: Process 8 bytes and remaining workload using 1 bytes +Apporach-3: Process 64 bytes at once by issuing 8 crc call and remaining + using 8/1 combination. + +Based on micro-benchmark testing we found that Approach-2 works best especially +given small chunk of variable data. */ +unsigned int crc32_aarch64(unsigned int crc, const void *buf, size_t len) +{ + const uint8_t *buf1= buf; + const uint64_t *buf8= (const uint64_t *) (((uintptr_t) buf + 7) & ~7); + + crc= ~crc; + + /* if start pointer is not 8 bytes aligned */ + while ((buf1 != (const uint8_t *) buf8) && len) + { + CRC32B(crc, *buf1++); + len--; + } + + for (; len >= 8; len-= 8) + CRC32X(crc, *buf8++); + + buf1= (const uint8_t *) buf8; + while (len--) + CRC32B(crc, *buf1++); + + return ~crc; +} diff --git a/mysys/crc32/crc32_ppc64.c b/mysys/crc32/crc32_ppc64.c new file mode 100644 index 00000000..76df88ee --- /dev/null +++ b/mysys/crc32/crc32_ppc64.c @@ -0,0 +1,5 @@ +#define CRC32_FUNCTION my_checksum +#define CRC_TABLE +#define POWER8_INTRINSICS +#include "pcc_crc32_constants.h" +#include "crc_ppc64.h" diff --git a/mysys/crc32/crc32_x86.c b/mysys/crc32/crc32_x86.c new file mode 100644 index 00000000..f077399c --- /dev/null +++ b/mysys/crc32/crc32_x86.c @@ -0,0 +1,334 @@ +/* Copyright (c) 2020, 2021, MariaDB + + This program is free software; you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation; version 2 of the License. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program; if not, write to the Free Software + Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1335 USA */ + +/* + Implementation of CRC32 (Ethernet) uing Intel PCLMULQDQ + Ported from Intels work, see https://github.com/intel/soft-crc +*/ + +/******************************************************************************* + Copyright (c) 2009-2018, Intel Corporation + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are met: + + * Redistributions of source code must retain the above copyright notice, + this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + * Neither the name of Intel Corporation nor the names of its contributors + may be used to endorse or promote products derived from this software + without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" + AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE + FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR + SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER + CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, + OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +*******************************************************************************/ + + +#include <my_global.h> +#include <my_compiler.h> + +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include <stdint.h> +#include <stddef.h> + +#ifdef __GNUC__ +#include <x86intrin.h> +#elif defined(_MSC_VER) +#include <intrin.h> +#else +#error "unknown compiler" +#endif + +/** + * @brief Shifts left 128 bit register by specified number of bytes + * + * @param reg 128 bit value + * @param num number of bytes to shift left \a reg by (0-16) + * + * @return \a reg << (\a num * 8) + */ +static inline __m128i xmm_shift_left(__m128i reg, const unsigned int num) +{ + static const MY_ALIGNED(16) uint8_t crc_xmm_shift_tab[48]= { + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, + 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}; + + const __m128i *p= (const __m128i *) (crc_xmm_shift_tab + 16 - num); + + return _mm_shuffle_epi8(reg, _mm_loadu_si128(p)); +} + +struct crcr_pclmulqdq_ctx +{ + uint64_t rk1; + uint64_t rk2; + uint64_t rk5; + uint64_t rk6; + uint64_t rk7; + uint64_t rk8; +}; + +/** + * @brief Performs one folding round + * + * Logically function operates as follows: + * DATA = READ_NEXT_16BYTES(); + * F1 = LSB8(FOLD) + * F2 = MSB8(FOLD) + * T1 = CLMUL(F1, RK1) + * T2 = CLMUL(F2, RK2) + * FOLD = XOR(T1, T2, DATA) + * + * @param data_block 16 byte data block + * @param precomp precomputed rk1 constanst + * @param fold running 16 byte folded data + * + * @return New 16 byte folded data + */ +static inline __m128i crcr32_folding_round(const __m128i data_block, + const __m128i precomp, const __m128i fold) +{ + __m128i tmp0= _mm_clmulepi64_si128(fold, precomp, 0x01); + __m128i tmp1= _mm_clmulepi64_si128(fold, precomp, 0x10); + + return _mm_xor_si128(tmp1, _mm_xor_si128(data_block, tmp0)); +} + +/** + * @brief Performs reduction from 128 bits to 64 bits + * + * @param data128 128 bits data to be reduced + * @param precomp rk5 and rk6 precomputed constants + * + * @return data reduced to 64 bits + */ +static inline __m128i crcr32_reduce_128_to_64(__m128i data128, const __m128i precomp) +{ + __m128i tmp0, tmp1, tmp2; + + /* 64b fold */ + tmp0= _mm_clmulepi64_si128(data128, precomp, 0x00); + tmp1= _mm_srli_si128(data128, 8); + tmp0= _mm_xor_si128(tmp0, tmp1); + + /* 32b fold */ + tmp2= _mm_slli_si128(tmp0, 4); + tmp1= _mm_clmulepi64_si128(tmp2, precomp, 0x10); + + return _mm_xor_si128(tmp1, tmp0); +} + +/** + * @brief Performs Barret's reduction from 64 bits to 32 bits + * + * @param data64 64 bits data to be reduced + * @param precomp rk7 precomputed constant + * + * @return data reduced to 32 bits + */ +static inline uint32_t crcr32_reduce_64_to_32(__m128i data64, const __m128i precomp) +{ + static const MY_ALIGNED(16) uint32_t mask1[4]= { + 0xffffffff, 0xffffffff, 0x00000000, 0x00000000}; + static const MY_ALIGNED(16) uint32_t mask2[4]= { + 0x00000000, 0xffffffff, 0xffffffff, 0xffffffff}; + __m128i tmp0, tmp1, tmp2; + + tmp0= _mm_and_si128(data64, _mm_load_si128((__m128i *) mask2)); + + tmp1= _mm_clmulepi64_si128(tmp0, precomp, 0x00); + tmp1= _mm_xor_si128(tmp1, tmp0); + tmp1= _mm_and_si128(tmp1, _mm_load_si128((__m128i *) mask1)); + + tmp2= _mm_clmulepi64_si128(tmp1, precomp, 0x10); + tmp2= _mm_xor_si128(tmp2, tmp1); + tmp2= _mm_xor_si128(tmp2, tmp0); + + return _mm_extract_epi32(tmp2, 2); +} + +/** + * @brief Calculates reflected 32-bit CRC for given \a data block + * by applying folding and reduction methods. + * + * Algorithm operates on 32 bit CRCs. + * Polynomials and initial values may need to be promoted to + * 32 bits where required. + * + * @param crc initial CRC value (32 bit value) + * @param data pointer to data block + * @param data_len length of \a data block in bytes + * @param params pointer to PCLMULQDQ CRC calculation context + * + * @return CRC for given \a data block (32 bits wide). + */ +static inline uint32_t crcr32_calc_pclmulqdq(const uint8_t *data, uint32_t data_len, + uint32_t crc, + const struct crcr_pclmulqdq_ctx *params) +{ + __m128i temp, fold, k; + uint32_t n; + + DBUG_ASSERT(data != NULL || data_len == 0); + DBUG_ASSERT(params); + + if (unlikely(data_len == 0)) + return crc; + + /** + * Get CRC init value + */ + temp= _mm_insert_epi32(_mm_setzero_si128(), crc, 0); + + /** + * ------------------------------------------------- + * Folding all data into single 16 byte data block + * Assumes: \a fold holds first 16 bytes of data + */ + + if (unlikely(data_len < 32)) + { + if (unlikely(data_len == 16)) + { + /* 16 bytes */ + fold= _mm_loadu_si128((__m128i *) data); + fold= _mm_xor_si128(fold, temp); + goto reduction_128_64; + } + if (unlikely(data_len < 16)) + { + /* 0 to 15 bytes */ + MY_ALIGNED(16) uint8_t buffer[16]; + + memset(buffer, 0, sizeof(buffer)); + memcpy(buffer, data, data_len); + + fold= _mm_load_si128((__m128i *) buffer); + fold= _mm_xor_si128(fold, temp); + if ((data_len < 4)) + { + fold= xmm_shift_left(fold, 8 - data_len); + goto barret_reduction; + } + fold= xmm_shift_left(fold, 16 - data_len); + goto reduction_128_64; + } + /* 17 to 31 bytes */ + fold= _mm_loadu_si128((__m128i *) data); + fold= _mm_xor_si128(fold, temp); + n= 16; + k= _mm_load_si128((__m128i *) (¶ms->rk1)); + goto partial_bytes; + } + + /** + * At least 32 bytes in the buffer + */ + + /** + * Apply CRC initial value + */ + fold= _mm_loadu_si128((const __m128i *) data); + fold= _mm_xor_si128(fold, temp); + + /** + * Main folding loop + * - the last 16 bytes is processed separately + */ + k= _mm_load_si128((__m128i *) (¶ms->rk1)); + for (n= 16; (n + 16) <= data_len; n+= 16) + { + temp= _mm_loadu_si128((__m128i *) &data[n]); + fold= crcr32_folding_round(temp, k, fold); + } + +partial_bytes: + if (likely(n < data_len)) + { + static const MY_ALIGNED(16) uint32_t mask3[4]= {0x80808080, 0x80808080, + 0x80808080, 0x80808080}; + static const MY_ALIGNED(16) uint8_t shf_table[32]= { + 0x00, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87, 0x88, 0x89, 0x8a, + 0x8b, 0x8c, 0x8d, 0x8e, 0x8f, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, + 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f}; + __m128i last16, a, b; + + last16= _mm_loadu_si128((const __m128i *) &data[data_len - 16]); + + temp= _mm_loadu_si128((const __m128i *) &shf_table[data_len & 15]); + a= _mm_shuffle_epi8(fold, temp); + + temp= _mm_xor_si128(temp, _mm_load_si128((const __m128i *) mask3)); + b= _mm_shuffle_epi8(fold, temp); + b= _mm_blendv_epi8(b, last16, temp); + + /* k = rk1 & rk2 */ + temp= _mm_clmulepi64_si128(a, k, 0x01); + fold= _mm_clmulepi64_si128(a, k, 0x10); + + fold= _mm_xor_si128(fold, temp); + fold= _mm_xor_si128(fold, b); + } + + /** + * ------------------------------------------------- + * Reduction 128 -> 32 + * Assumes: \a fold holds 128bit folded data + */ +reduction_128_64: + k= _mm_load_si128((__m128i *) (¶ms->rk5)); + fold= crcr32_reduce_128_to_64(fold, k); + +barret_reduction: + k= _mm_load_si128((__m128i *) (¶ms->rk7)); + n= crcr32_reduce_64_to_32(fold, k); + return n; +} + +static const MY_ALIGNED(16) struct crcr_pclmulqdq_ctx ether_crc32_clmul= { + 0xccaa009e, /**< rk1 */ + 0x1751997d0, /**< rk2 */ + 0xccaa009e, /**< rk5 */ + 0x163cd6124, /**< rk6 */ + 0x1f7011640, /**< rk7 */ + 0x1db710641 /**< rk8 */ +}; + +/** + * @brief Calculates Ethernet CRC32 using PCLMULQDQ method. + * + * @param data pointer to data block to calculate CRC for + * @param data_len size of data block + * + * @return New CRC value + */ +unsigned int crc32_pclmul(unsigned int crc32, const void *buf, size_t len) +{ + return ~crcr32_calc_pclmulqdq(buf, (uint32_t)len, ~crc32, ðer_crc32_clmul); +} diff --git a/mysys/crc32/crc32c.cc b/mysys/crc32/crc32c.cc new file mode 100644 index 00000000..2bec041e --- /dev/null +++ b/mysys/crc32/crc32c.cc @@ -0,0 +1,597 @@ +// Copyright (c) 2011-present, Facebook, Inc. All rights reserved. +// This source code is licensed under both the GPLv2 (found in the +// COPYING file in the root directory) and Apache 2.0 License +// (found in the LICENSE.Apache file in the root directory). +// +// Copyright (c) 2011 The LevelDB Authors. All rights reserved. +// Use of this source code is governed by a BSD-style license that can be +// found in the LICENSE file. See the AUTHORS file for names of contributors. +// +// A portable implementation of crc32c, optimized to handle +// four bytes at a time. + +// +// Copyright (c) 2011 The LevelDB Authors. All rights reserved. +// Use of this source code is governed by a BSD-style license that can be +// found in the LICENSE file. See the AUTHORS file for names of contributors. + + +#include <stddef.h> +#include <stdint.h> +#include <my_global.h> +#include <my_byteorder.h> +static inline uint32_t DecodeFixed32(const char *ptr) +{ + return uint4korr(ptr); +} + +#include <stdint.h> +#ifdef _MSC_VER +#include <intrin.h> +#endif + +#ifdef HAVE_SSE42 +# ifdef __GNUC__ +# include <cpuid.h> +# if __GNUC__ < 5 && !defined __clang__ +/* the headers do not really work in GCC before version 5 */ +# define _mm_crc32_u8(crc,data) __builtin_ia32_crc32qi(crc,data) +# define _mm_crc32_u32(crc,data) __builtin_ia32_crc32si(crc,data) +# define _mm_crc32_u64(crc,data) __builtin_ia32_crc32di(crc,data) +# else +# include <nmmintrin.h> +# endif +# define USE_SSE42 __attribute__((target("sse4.2"))) +# else +# define USE_SSE42 /* nothing */ +# endif +#endif + + +#ifdef __powerpc64__ +#include "crc32c_ppc.h" + +#if __linux__ +#include <sys/auxv.h> + +#ifndef PPC_FEATURE2_VEC_CRYPTO +#define PPC_FEATURE2_VEC_CRYPTO 0x02000000 +#endif + +#ifndef AT_HWCAP2 +#define AT_HWCAP2 26 +#endif + +#endif /* __linux__ */ + +#endif + +namespace mysys_namespace { +namespace crc32c { + +#if defined(HAVE_POWER8) && defined(HAS_ALTIVEC) +#ifdef __powerpc64__ +static int arch_ppc_crc32 = 0; +#endif /* __powerpc64__ */ +#endif + +static const uint32_t table0_[256] = { + 0x00000000, 0xf26b8303, 0xe13b70f7, 0x1350f3f4, + 0xc79a971f, 0x35f1141c, 0x26a1e7e8, 0xd4ca64eb, + 0x8ad958cf, 0x78b2dbcc, 0x6be22838, 0x9989ab3b, + 0x4d43cfd0, 0xbf284cd3, 0xac78bf27, 0x5e133c24, + 0x105ec76f, 0xe235446c, 0xf165b798, 0x030e349b, + 0xd7c45070, 0x25afd373, 0x36ff2087, 0xc494a384, + 0x9a879fa0, 0x68ec1ca3, 0x7bbcef57, 0x89d76c54, + 0x5d1d08bf, 0xaf768bbc, 0xbc267848, 0x4e4dfb4b, + 0x20bd8ede, 0xd2d60ddd, 0xc186fe29, 0x33ed7d2a, + 0xe72719c1, 0x154c9ac2, 0x061c6936, 0xf477ea35, + 0xaa64d611, 0x580f5512, 0x4b5fa6e6, 0xb93425e5, + 0x6dfe410e, 0x9f95c20d, 0x8cc531f9, 0x7eaeb2fa, + 0x30e349b1, 0xc288cab2, 0xd1d83946, 0x23b3ba45, + 0xf779deae, 0x05125dad, 0x1642ae59, 0xe4292d5a, + 0xba3a117e, 0x4851927d, 0x5b016189, 0xa96ae28a, + 0x7da08661, 0x8fcb0562, 0x9c9bf696, 0x6ef07595, + 0x417b1dbc, 0xb3109ebf, 0xa0406d4b, 0x522bee48, + 0x86e18aa3, 0x748a09a0, 0x67dafa54, 0x95b17957, + 0xcba24573, 0x39c9c670, 0x2a993584, 0xd8f2b687, + 0x0c38d26c, 0xfe53516f, 0xed03a29b, 0x1f682198, + 0x5125dad3, 0xa34e59d0, 0xb01eaa24, 0x42752927, + 0x96bf4dcc, 0x64d4cecf, 0x77843d3b, 0x85efbe38, + 0xdbfc821c, 0x2997011f, 0x3ac7f2eb, 0xc8ac71e8, + 0x1c661503, 0xee0d9600, 0xfd5d65f4, 0x0f36e6f7, + 0x61c69362, 0x93ad1061, 0x80fde395, 0x72966096, + 0xa65c047d, 0x5437877e, 0x4767748a, 0xb50cf789, + 0xeb1fcbad, 0x197448ae, 0x0a24bb5a, 0xf84f3859, + 0x2c855cb2, 0xdeeedfb1, 0xcdbe2c45, 0x3fd5af46, + 0x7198540d, 0x83f3d70e, 0x90a324fa, 0x62c8a7f9, + 0xb602c312, 0x44694011, 0x5739b3e5, 0xa55230e6, + 0xfb410cc2, 0x092a8fc1, 0x1a7a7c35, 0xe811ff36, + 0x3cdb9bdd, 0xceb018de, 0xdde0eb2a, 0x2f8b6829, + 0x82f63b78, 0x709db87b, 0x63cd4b8f, 0x91a6c88c, + 0x456cac67, 0xb7072f64, 0xa457dc90, 0x563c5f93, + 0x082f63b7, 0xfa44e0b4, 0xe9141340, 0x1b7f9043, + 0xcfb5f4a8, 0x3dde77ab, 0x2e8e845f, 0xdce5075c, + 0x92a8fc17, 0x60c37f14, 0x73938ce0, 0x81f80fe3, + 0x55326b08, 0xa759e80b, 0xb4091bff, 0x466298fc, + 0x1871a4d8, 0xea1a27db, 0xf94ad42f, 0x0b21572c, + 0xdfeb33c7, 0x2d80b0c4, 0x3ed04330, 0xccbbc033, + 0xa24bb5a6, 0x502036a5, 0x4370c551, 0xb11b4652, + 0x65d122b9, 0x97baa1ba, 0x84ea524e, 0x7681d14d, + 0x2892ed69, 0xdaf96e6a, 0xc9a99d9e, 0x3bc21e9d, + 0xef087a76, 0x1d63f975, 0x0e330a81, 0xfc588982, + 0xb21572c9, 0x407ef1ca, 0x532e023e, 0xa145813d, + 0x758fe5d6, 0x87e466d5, 0x94b49521, 0x66df1622, + 0x38cc2a06, 0xcaa7a905, 0xd9f75af1, 0x2b9cd9f2, + 0xff56bd19, 0x0d3d3e1a, 0x1e6dcdee, 0xec064eed, + 0xc38d26c4, 0x31e6a5c7, 0x22b65633, 0xd0ddd530, + 0x0417b1db, 0xf67c32d8, 0xe52cc12c, 0x1747422f, + 0x49547e0b, 0xbb3ffd08, 0xa86f0efc, 0x5a048dff, + 0x8ecee914, 0x7ca56a17, 0x6ff599e3, 0x9d9e1ae0, + 0xd3d3e1ab, 0x21b862a8, 0x32e8915c, 0xc083125f, + 0x144976b4, 0xe622f5b7, 0xf5720643, 0x07198540, + 0x590ab964, 0xab613a67, 0xb831c993, 0x4a5a4a90, + 0x9e902e7b, 0x6cfbad78, 0x7fab5e8c, 0x8dc0dd8f, + 0xe330a81a, 0x115b2b19, 0x020bd8ed, 0xf0605bee, + 0x24aa3f05, 0xd6c1bc06, 0xc5914ff2, 0x37faccf1, + 0x69e9f0d5, 0x9b8273d6, 0x88d28022, 0x7ab90321, + 0xae7367ca, 0x5c18e4c9, 0x4f48173d, 0xbd23943e, + 0xf36e6f75, 0x0105ec76, 0x12551f82, 0xe03e9c81, + 0x34f4f86a, 0xc69f7b69, 0xd5cf889d, 0x27a40b9e, + 0x79b737ba, 0x8bdcb4b9, 0x988c474d, 0x6ae7c44e, + 0xbe2da0a5, 0x4c4623a6, 0x5f16d052, 0xad7d5351 +}; +static const uint32_t table1_[256] = { + 0x00000000, 0x13a29877, 0x274530ee, 0x34e7a899, + 0x4e8a61dc, 0x5d28f9ab, 0x69cf5132, 0x7a6dc945, + 0x9d14c3b8, 0x8eb65bcf, 0xba51f356, 0xa9f36b21, + 0xd39ea264, 0xc03c3a13, 0xf4db928a, 0xe7790afd, + 0x3fc5f181, 0x2c6769f6, 0x1880c16f, 0x0b225918, + 0x714f905d, 0x62ed082a, 0x560aa0b3, 0x45a838c4, + 0xa2d13239, 0xb173aa4e, 0x859402d7, 0x96369aa0, + 0xec5b53e5, 0xfff9cb92, 0xcb1e630b, 0xd8bcfb7c, + 0x7f8be302, 0x6c297b75, 0x58ced3ec, 0x4b6c4b9b, + 0x310182de, 0x22a31aa9, 0x1644b230, 0x05e62a47, + 0xe29f20ba, 0xf13db8cd, 0xc5da1054, 0xd6788823, + 0xac154166, 0xbfb7d911, 0x8b507188, 0x98f2e9ff, + 0x404e1283, 0x53ec8af4, 0x670b226d, 0x74a9ba1a, + 0x0ec4735f, 0x1d66eb28, 0x298143b1, 0x3a23dbc6, + 0xdd5ad13b, 0xcef8494c, 0xfa1fe1d5, 0xe9bd79a2, + 0x93d0b0e7, 0x80722890, 0xb4958009, 0xa737187e, + 0xff17c604, 0xecb55e73, 0xd852f6ea, 0xcbf06e9d, + 0xb19da7d8, 0xa23f3faf, 0x96d89736, 0x857a0f41, + 0x620305bc, 0x71a19dcb, 0x45463552, 0x56e4ad25, + 0x2c896460, 0x3f2bfc17, 0x0bcc548e, 0x186eccf9, + 0xc0d23785, 0xd370aff2, 0xe797076b, 0xf4359f1c, + 0x8e585659, 0x9dface2e, 0xa91d66b7, 0xbabffec0, + 0x5dc6f43d, 0x4e646c4a, 0x7a83c4d3, 0x69215ca4, + 0x134c95e1, 0x00ee0d96, 0x3409a50f, 0x27ab3d78, + 0x809c2506, 0x933ebd71, 0xa7d915e8, 0xb47b8d9f, + 0xce1644da, 0xddb4dcad, 0xe9537434, 0xfaf1ec43, + 0x1d88e6be, 0x0e2a7ec9, 0x3acdd650, 0x296f4e27, + 0x53028762, 0x40a01f15, 0x7447b78c, 0x67e52ffb, + 0xbf59d487, 0xacfb4cf0, 0x981ce469, 0x8bbe7c1e, + 0xf1d3b55b, 0xe2712d2c, 0xd69685b5, 0xc5341dc2, + 0x224d173f, 0x31ef8f48, 0x050827d1, 0x16aabfa6, + 0x6cc776e3, 0x7f65ee94, 0x4b82460d, 0x5820de7a, + 0xfbc3faf9, 0xe861628e, 0xdc86ca17, 0xcf245260, + 0xb5499b25, 0xa6eb0352, 0x920cabcb, 0x81ae33bc, + 0x66d73941, 0x7575a136, 0x419209af, 0x523091d8, + 0x285d589d, 0x3bffc0ea, 0x0f186873, 0x1cbaf004, + 0xc4060b78, 0xd7a4930f, 0xe3433b96, 0xf0e1a3e1, + 0x8a8c6aa4, 0x992ef2d3, 0xadc95a4a, 0xbe6bc23d, + 0x5912c8c0, 0x4ab050b7, 0x7e57f82e, 0x6df56059, + 0x1798a91c, 0x043a316b, 0x30dd99f2, 0x237f0185, + 0x844819fb, 0x97ea818c, 0xa30d2915, 0xb0afb162, + 0xcac27827, 0xd960e050, 0xed8748c9, 0xfe25d0be, + 0x195cda43, 0x0afe4234, 0x3e19eaad, 0x2dbb72da, + 0x57d6bb9f, 0x447423e8, 0x70938b71, 0x63311306, + 0xbb8de87a, 0xa82f700d, 0x9cc8d894, 0x8f6a40e3, + 0xf50789a6, 0xe6a511d1, 0xd242b948, 0xc1e0213f, + 0x26992bc2, 0x353bb3b5, 0x01dc1b2c, 0x127e835b, + 0x68134a1e, 0x7bb1d269, 0x4f567af0, 0x5cf4e287, + 0x04d43cfd, 0x1776a48a, 0x23910c13, 0x30339464, + 0x4a5e5d21, 0x59fcc556, 0x6d1b6dcf, 0x7eb9f5b8, + 0x99c0ff45, 0x8a626732, 0xbe85cfab, 0xad2757dc, + 0xd74a9e99, 0xc4e806ee, 0xf00fae77, 0xe3ad3600, + 0x3b11cd7c, 0x28b3550b, 0x1c54fd92, 0x0ff665e5, + 0x759baca0, 0x663934d7, 0x52de9c4e, 0x417c0439, + 0xa6050ec4, 0xb5a796b3, 0x81403e2a, 0x92e2a65d, + 0xe88f6f18, 0xfb2df76f, 0xcfca5ff6, 0xdc68c781, + 0x7b5fdfff, 0x68fd4788, 0x5c1aef11, 0x4fb87766, + 0x35d5be23, 0x26772654, 0x12908ecd, 0x013216ba, + 0xe64b1c47, 0xf5e98430, 0xc10e2ca9, 0xd2acb4de, + 0xa8c17d9b, 0xbb63e5ec, 0x8f844d75, 0x9c26d502, + 0x449a2e7e, 0x5738b609, 0x63df1e90, 0x707d86e7, + 0x0a104fa2, 0x19b2d7d5, 0x2d557f4c, 0x3ef7e73b, + 0xd98eedc6, 0xca2c75b1, 0xfecbdd28, 0xed69455f, + 0x97048c1a, 0x84a6146d, 0xb041bcf4, 0xa3e32483 +}; +static const uint32_t table2_[256] = { + 0x00000000, 0xa541927e, 0x4f6f520d, 0xea2ec073, + 0x9edea41a, 0x3b9f3664, 0xd1b1f617, 0x74f06469, + 0x38513ec5, 0x9d10acbb, 0x773e6cc8, 0xd27ffeb6, + 0xa68f9adf, 0x03ce08a1, 0xe9e0c8d2, 0x4ca15aac, + 0x70a27d8a, 0xd5e3eff4, 0x3fcd2f87, 0x9a8cbdf9, + 0xee7cd990, 0x4b3d4bee, 0xa1138b9d, 0x045219e3, + 0x48f3434f, 0xedb2d131, 0x079c1142, 0xa2dd833c, + 0xd62de755, 0x736c752b, 0x9942b558, 0x3c032726, + 0xe144fb14, 0x4405696a, 0xae2ba919, 0x0b6a3b67, + 0x7f9a5f0e, 0xdadbcd70, 0x30f50d03, 0x95b49f7d, + 0xd915c5d1, 0x7c5457af, 0x967a97dc, 0x333b05a2, + 0x47cb61cb, 0xe28af3b5, 0x08a433c6, 0xade5a1b8, + 0x91e6869e, 0x34a714e0, 0xde89d493, 0x7bc846ed, + 0x0f382284, 0xaa79b0fa, 0x40577089, 0xe516e2f7, + 0xa9b7b85b, 0x0cf62a25, 0xe6d8ea56, 0x43997828, + 0x37691c41, 0x92288e3f, 0x78064e4c, 0xdd47dc32, + 0xc76580d9, 0x622412a7, 0x880ad2d4, 0x2d4b40aa, + 0x59bb24c3, 0xfcfab6bd, 0x16d476ce, 0xb395e4b0, + 0xff34be1c, 0x5a752c62, 0xb05bec11, 0x151a7e6f, + 0x61ea1a06, 0xc4ab8878, 0x2e85480b, 0x8bc4da75, + 0xb7c7fd53, 0x12866f2d, 0xf8a8af5e, 0x5de93d20, + 0x29195949, 0x8c58cb37, 0x66760b44, 0xc337993a, + 0x8f96c396, 0x2ad751e8, 0xc0f9919b, 0x65b803e5, + 0x1148678c, 0xb409f5f2, 0x5e273581, 0xfb66a7ff, + 0x26217bcd, 0x8360e9b3, 0x694e29c0, 0xcc0fbbbe, + 0xb8ffdfd7, 0x1dbe4da9, 0xf7908dda, 0x52d11fa4, + 0x1e704508, 0xbb31d776, 0x511f1705, 0xf45e857b, + 0x80aee112, 0x25ef736c, 0xcfc1b31f, 0x6a802161, + 0x56830647, 0xf3c29439, 0x19ec544a, 0xbcadc634, + 0xc85da25d, 0x6d1c3023, 0x8732f050, 0x2273622e, + 0x6ed23882, 0xcb93aafc, 0x21bd6a8f, 0x84fcf8f1, + 0xf00c9c98, 0x554d0ee6, 0xbf63ce95, 0x1a225ceb, + 0x8b277743, 0x2e66e53d, 0xc448254e, 0x6109b730, + 0x15f9d359, 0xb0b84127, 0x5a968154, 0xffd7132a, + 0xb3764986, 0x1637dbf8, 0xfc191b8b, 0x595889f5, + 0x2da8ed9c, 0x88e97fe2, 0x62c7bf91, 0xc7862def, + 0xfb850ac9, 0x5ec498b7, 0xb4ea58c4, 0x11abcaba, + 0x655baed3, 0xc01a3cad, 0x2a34fcde, 0x8f756ea0, + 0xc3d4340c, 0x6695a672, 0x8cbb6601, 0x29faf47f, + 0x5d0a9016, 0xf84b0268, 0x1265c21b, 0xb7245065, + 0x6a638c57, 0xcf221e29, 0x250cde5a, 0x804d4c24, + 0xf4bd284d, 0x51fcba33, 0xbbd27a40, 0x1e93e83e, + 0x5232b292, 0xf77320ec, 0x1d5de09f, 0xb81c72e1, + 0xccec1688, 0x69ad84f6, 0x83834485, 0x26c2d6fb, + 0x1ac1f1dd, 0xbf8063a3, 0x55aea3d0, 0xf0ef31ae, + 0x841f55c7, 0x215ec7b9, 0xcb7007ca, 0x6e3195b4, + 0x2290cf18, 0x87d15d66, 0x6dff9d15, 0xc8be0f6b, + 0xbc4e6b02, 0x190ff97c, 0xf321390f, 0x5660ab71, + 0x4c42f79a, 0xe90365e4, 0x032da597, 0xa66c37e9, + 0xd29c5380, 0x77ddc1fe, 0x9df3018d, 0x38b293f3, + 0x7413c95f, 0xd1525b21, 0x3b7c9b52, 0x9e3d092c, + 0xeacd6d45, 0x4f8cff3b, 0xa5a23f48, 0x00e3ad36, + 0x3ce08a10, 0x99a1186e, 0x738fd81d, 0xd6ce4a63, + 0xa23e2e0a, 0x077fbc74, 0xed517c07, 0x4810ee79, + 0x04b1b4d5, 0xa1f026ab, 0x4bdee6d8, 0xee9f74a6, + 0x9a6f10cf, 0x3f2e82b1, 0xd50042c2, 0x7041d0bc, + 0xad060c8e, 0x08479ef0, 0xe2695e83, 0x4728ccfd, + 0x33d8a894, 0x96993aea, 0x7cb7fa99, 0xd9f668e7, + 0x9557324b, 0x3016a035, 0xda386046, 0x7f79f238, + 0x0b899651, 0xaec8042f, 0x44e6c45c, 0xe1a75622, + 0xdda47104, 0x78e5e37a, 0x92cb2309, 0x378ab177, + 0x437ad51e, 0xe63b4760, 0x0c158713, 0xa954156d, + 0xe5f54fc1, 0x40b4ddbf, 0xaa9a1dcc, 0x0fdb8fb2, + 0x7b2bebdb, 0xde6a79a5, 0x3444b9d6, 0x91052ba8 +}; +static const uint32_t table3_[256] = { + 0x00000000, 0xdd45aab8, 0xbf672381, 0x62228939, + 0x7b2231f3, 0xa6679b4b, 0xc4451272, 0x1900b8ca, + 0xf64463e6, 0x2b01c95e, 0x49234067, 0x9466eadf, + 0x8d665215, 0x5023f8ad, 0x32017194, 0xef44db2c, + 0xe964b13d, 0x34211b85, 0x560392bc, 0x8b463804, + 0x924680ce, 0x4f032a76, 0x2d21a34f, 0xf06409f7, + 0x1f20d2db, 0xc2657863, 0xa047f15a, 0x7d025be2, + 0x6402e328, 0xb9474990, 0xdb65c0a9, 0x06206a11, + 0xd725148b, 0x0a60be33, 0x6842370a, 0xb5079db2, + 0xac072578, 0x71428fc0, 0x136006f9, 0xce25ac41, + 0x2161776d, 0xfc24ddd5, 0x9e0654ec, 0x4343fe54, + 0x5a43469e, 0x8706ec26, 0xe524651f, 0x3861cfa7, + 0x3e41a5b6, 0xe3040f0e, 0x81268637, 0x5c632c8f, + 0x45639445, 0x98263efd, 0xfa04b7c4, 0x27411d7c, + 0xc805c650, 0x15406ce8, 0x7762e5d1, 0xaa274f69, + 0xb327f7a3, 0x6e625d1b, 0x0c40d422, 0xd1057e9a, + 0xaba65fe7, 0x76e3f55f, 0x14c17c66, 0xc984d6de, + 0xd0846e14, 0x0dc1c4ac, 0x6fe34d95, 0xb2a6e72d, + 0x5de23c01, 0x80a796b9, 0xe2851f80, 0x3fc0b538, + 0x26c00df2, 0xfb85a74a, 0x99a72e73, 0x44e284cb, + 0x42c2eeda, 0x9f874462, 0xfda5cd5b, 0x20e067e3, + 0x39e0df29, 0xe4a57591, 0x8687fca8, 0x5bc25610, + 0xb4868d3c, 0x69c32784, 0x0be1aebd, 0xd6a40405, + 0xcfa4bccf, 0x12e11677, 0x70c39f4e, 0xad8635f6, + 0x7c834b6c, 0xa1c6e1d4, 0xc3e468ed, 0x1ea1c255, + 0x07a17a9f, 0xdae4d027, 0xb8c6591e, 0x6583f3a6, + 0x8ac7288a, 0x57828232, 0x35a00b0b, 0xe8e5a1b3, + 0xf1e51979, 0x2ca0b3c1, 0x4e823af8, 0x93c79040, + 0x95e7fa51, 0x48a250e9, 0x2a80d9d0, 0xf7c57368, + 0xeec5cba2, 0x3380611a, 0x51a2e823, 0x8ce7429b, + 0x63a399b7, 0xbee6330f, 0xdcc4ba36, 0x0181108e, + 0x1881a844, 0xc5c402fc, 0xa7e68bc5, 0x7aa3217d, + 0x52a0c93f, 0x8fe56387, 0xedc7eabe, 0x30824006, + 0x2982f8cc, 0xf4c75274, 0x96e5db4d, 0x4ba071f5, + 0xa4e4aad9, 0x79a10061, 0x1b838958, 0xc6c623e0, + 0xdfc69b2a, 0x02833192, 0x60a1b8ab, 0xbde41213, + 0xbbc47802, 0x6681d2ba, 0x04a35b83, 0xd9e6f13b, + 0xc0e649f1, 0x1da3e349, 0x7f816a70, 0xa2c4c0c8, + 0x4d801be4, 0x90c5b15c, 0xf2e73865, 0x2fa292dd, + 0x36a22a17, 0xebe780af, 0x89c50996, 0x5480a32e, + 0x8585ddb4, 0x58c0770c, 0x3ae2fe35, 0xe7a7548d, + 0xfea7ec47, 0x23e246ff, 0x41c0cfc6, 0x9c85657e, + 0x73c1be52, 0xae8414ea, 0xcca69dd3, 0x11e3376b, + 0x08e38fa1, 0xd5a62519, 0xb784ac20, 0x6ac10698, + 0x6ce16c89, 0xb1a4c631, 0xd3864f08, 0x0ec3e5b0, + 0x17c35d7a, 0xca86f7c2, 0xa8a47efb, 0x75e1d443, + 0x9aa50f6f, 0x47e0a5d7, 0x25c22cee, 0xf8878656, + 0xe1873e9c, 0x3cc29424, 0x5ee01d1d, 0x83a5b7a5, + 0xf90696d8, 0x24433c60, 0x4661b559, 0x9b241fe1, + 0x8224a72b, 0x5f610d93, 0x3d4384aa, 0xe0062e12, + 0x0f42f53e, 0xd2075f86, 0xb025d6bf, 0x6d607c07, + 0x7460c4cd, 0xa9256e75, 0xcb07e74c, 0x16424df4, + 0x106227e5, 0xcd278d5d, 0xaf050464, 0x7240aedc, + 0x6b401616, 0xb605bcae, 0xd4273597, 0x09629f2f, + 0xe6264403, 0x3b63eebb, 0x59416782, 0x8404cd3a, + 0x9d0475f0, 0x4041df48, 0x22635671, 0xff26fcc9, + 0x2e238253, 0xf36628eb, 0x9144a1d2, 0x4c010b6a, + 0x5501b3a0, 0x88441918, 0xea669021, 0x37233a99, + 0xd867e1b5, 0x05224b0d, 0x6700c234, 0xba45688c, + 0xa345d046, 0x7e007afe, 0x1c22f3c7, 0xc167597f, + 0xc747336e, 0x1a0299d6, 0x782010ef, 0xa565ba57, + 0xbc65029d, 0x6120a825, 0x0302211c, 0xde478ba4, + 0x31035088, 0xec46fa30, 0x8e647309, 0x5321d9b1, + 0x4a21617b, 0x9764cbc3, 0xf54642fa, 0x2803e842 +}; + +// Used to fetch a naturally-aligned 32-bit word in little endian byte-order +static inline uint32_t LE_LOAD32(const uint8_t *p) { + return DecodeFixed32(reinterpret_cast<const char*>(p)); +} + +static inline void Slow_CRC32(uint64_t* l, uint8_t const **p) +{ + uint32_t c = static_cast<uint32_t>(*l ^ LE_LOAD32(*p)); + *p += 4; + *l = table3_[c & 0xff] ^ + table2_[(c >> 8) & 0xff] ^ + table1_[(c >> 16) & 0xff] ^ + table0_[c >> 24]; + // DO it twice. + c = static_cast<uint32_t>(*l ^ LE_LOAD32(*p)); + *p += 4; + *l = table3_[c & 0xff] ^ + table2_[(c >> 8) & 0xff] ^ + table1_[(c >> 16) & 0xff] ^ + table0_[c >> 24]; +} + +#ifdef ALIGN +#undef ALIGN +#endif + +// Align n to (1 << m) byte boundary +#define ALIGN(n, m) ((n + ((1 << m) - 1)) & ~((1 << m) - 1)) + +#define STEP1 do { \ + int c = (l & 0xff) ^ *p++; \ + l = table0_[c] ^ (l >> 8); \ +} while (0) + +static uint32_t crc32c_slow(uint32_t crc, const char* buf, size_t size) +{ + const uint8_t *p = reinterpret_cast<const uint8_t *>(buf); + const uint8_t *e = p + size; + uint64_t l = crc ^ 0xffffffffu; + + // Point x at first 16-byte aligned byte in string. This might be + // just past the end of the string. + const uintptr_t pval = reinterpret_cast<uintptr_t>(p); + const uint8_t* x = reinterpret_cast<const uint8_t*>(ALIGN(pval, 4)); + if (x <= e) + // Process bytes until finished or p is 16-byte aligned + while (p != x) + STEP1; + // Process bytes 16 at a time + while ((e-p) >= 16) + { + Slow_CRC32(&l, &p); + Slow_CRC32(&l, &p); + } + // Process bytes 8 at a time + while ((e-p) >= 8) + Slow_CRC32(&l, &p); + // Process the last few bytes + while (p != e) + STEP1; + return static_cast<uint32_t>(l ^ 0xffffffffu); +} + +#if defined HAVE_POWER8 +#elif defined HAVE_ARMV8_CRC +#elif defined HAVE_SSE42 +constexpr uint32_t cpuid_ecx_SSE42= 1U << 20; +constexpr uint32_t cpuid_ecx_SSE42_AND_PCLMUL= cpuid_ecx_SSE42 | 1U<<1; + +static uint32_t cpuid_ecx() +{ +#ifdef __GNUC__ + uint32_t reax= 0, rebx= 0, recx= 0, redx= 0; + __cpuid(1, reax, rebx, recx, redx); + return recx; +#elif defined _MSC_VER + int regs[4]; + __cpuid(regs, 1); + return regs[2]; +#else +# error "unknown compiler" +#endif +} + +extern "C" int crc32_pclmul_enabled(void) +{ + return !(~cpuid_ecx() & cpuid_ecx_SSE42_AND_PCLMUL); +} + +#if SIZEOF_SIZE_T == 8 +extern "C" uint32_t crc32c_3way(uint32_t crc, const char *buf, size_t len); + +USE_SSE42 +static inline uint64_t LE_LOAD64(const uint8_t *ptr) +{ + return uint8korr(reinterpret_cast<const char*>(ptr)); +} +#endif + +USE_SSE42 +static inline void Fast_CRC32(uint64_t* l, uint8_t const **p) +{ +# if (SIZEOF_SIZE_T == 8) + *l = _mm_crc32_u64(*l, LE_LOAD64(*p)); + *p += 8; +# else + *l = _mm_crc32_u32(static_cast<unsigned int>(*l), LE_LOAD32(*p)); + *p += 4; + *l = _mm_crc32_u32(static_cast<unsigned int>(*l), LE_LOAD32(*p)); + *p += 4; +# endif +} + +USE_SSE42 +static uint32_t crc32c_sse42(uint32_t crc, const char* buf, size_t size) +{ + const uint8_t *p = reinterpret_cast<const uint8_t *>(buf); + const uint8_t *e = p + size; + uint64_t l = crc ^ 0xffffffffu; + + // Point x at first 16-byte aligned byte in string. This might be + // just past the end of the string. + const uintptr_t pval = reinterpret_cast<uintptr_t>(p); + const uint8_t* x = reinterpret_cast<const uint8_t*>(ALIGN(pval, 4)); + if (x <= e) + // Process bytes until finished or p is 16-byte aligned + while (p != x) + STEP1; + // Process bytes 16 at a time + while ((e-p) >= 16) + { + Fast_CRC32(&l, &p); + Fast_CRC32(&l, &p); + } + // Process bytes 8 at a time + while ((e-p) >= 8) + Fast_CRC32(&l, &p); + // Process the last few bytes + while (p != e) + STEP1; + return static_cast<uint32_t>(l ^ 0xffffffffu); +} +#endif + +typedef uint32_t (*Function)(uint32_t, const char*, size_t); + +#if defined(HAVE_POWER8) && defined(HAS_ALTIVEC) +uint32_t ExtendPPCImpl(uint32_t crc, const char *buf, size_t size) { + return crc32c_ppc(crc, (const unsigned char *)buf, size); +} + +#if __linux__ +static int arch_ppc_probe(void) { + arch_ppc_crc32 = 0; + +#if defined(__powerpc64__) + if (getauxval(AT_HWCAP2) & PPC_FEATURE2_VEC_CRYPTO) arch_ppc_crc32 = 1; +#endif /* __powerpc64__ */ + + return arch_ppc_crc32; +} +#elif __FreeBSD_version >= 1200000 +#include <machine/cpu.h> +#include <sys/auxv.h> +#include <sys/elf_common.h> +static int arch_ppc_probe(void) { + unsigned long cpufeatures; + arch_ppc_crc32 = 0; + +#if defined(__powerpc64__) + elf_aux_info(AT_HWCAP2, &cpufeatures, sizeof(cpufeatures)); + if (cpufeatures & PPC_FEATURE2_HAS_VEC_CRYPTO) arch_ppc_crc32 = 1; +#endif /* __powerpc64__ */ + + return arch_ppc_crc32; +} +#elif defined(_AIX) || defined(__OpenBSD__) +static int arch_ppc_probe(void) { + arch_ppc_crc32 = 0; + +#if defined(__powerpc64__) + // AIX 7.1+/OpenBSD has vector crypto features on all POWER 8+ + arch_ppc_crc32 = 1; +#endif /* __powerpc64__ */ + + return arch_ppc_crc32; +} +#endif // __linux__ +#endif + +#if defined(HAVE_ARMV8_CRC) +extern "C" const char *crc32c_aarch64_available(void); +extern "C" uint32_t crc32c_aarch64(uint32_t crc, const unsigned char *buffer, uint64_t len); + +static uint32_t ExtendARMImpl(uint32_t crc, const char *buf, size_t size) { + return crc32c_aarch64(crc, (const unsigned char *)buf, (size_t) size); +} +#endif + +static inline Function Choose_Extend() +{ +#if defined HAVE_POWER8 && defined HAS_ALTIVEC + if (arch_ppc_probe()) + return ExtendPPCImpl; +#elif defined(HAVE_ARMV8_CRC) + if (crc32c_aarch64_available()) + return ExtendARMImpl; +#elif HAVE_SSE42 +# if defined HAVE_PCLMUL && SIZEOF_SIZE_T == 8 + switch (cpuid_ecx() & cpuid_ecx_SSE42_AND_PCLMUL) { + case cpuid_ecx_SSE42_AND_PCLMUL: + return crc32c_3way; + case cpuid_ecx_SSE42: + return crc32c_sse42; + } +# else + if (cpuid_ecx() & cpuid_ecx_SSE42) + return crc32c_sse42; +# endif +#endif + return crc32c_slow; +} + +static const Function ChosenExtend= Choose_Extend(); + +static inline uint32_t Extend(uint32_t crc, const char* buf, size_t size) +{ + return ChosenExtend(crc, buf, size); +} + +extern "C" const char *my_crc32c_implementation() +{ +#if defined(HAVE_POWER8) && defined(HAS_ALTIVEC) + if (ChosenExtend == ExtendPPCImpl) + return "Using POWER8 crc32 instructions"; +#elif defined(HAVE_ARMV8_CRC) + if (const char *ret= crc32c_aarch64_available()) + return ret; +#elif HAVE_SSE42 +# if defined HAVE_PCLMUL && SIZEOF_SIZE_T == 8 + if (ChosenExtend == crc32c_3way) + return "Using crc32 + pclmulqdq instructions"; +# endif + if (ChosenExtend == crc32c_sse42) + return "Using SSE4.2 crc32 instructions"; +#endif + return "Using generic crc32 instructions"; +} +} // namespace crc32c +} // namespace mysys_namespace + +extern "C" unsigned my_crc32c(unsigned int crc, const char *buf, size_t size) +{ + return mysys_namespace::crc32c::Extend(crc,buf, size); +} diff --git a/mysys/crc32/crc32c_amd64.cc b/mysys/crc32/crc32c_amd64.cc new file mode 100644 index 00000000..22c492b4 --- /dev/null +++ b/mysys/crc32/crc32c_amd64.cc @@ -0,0 +1,711 @@ +/* Copyright (c) 2020, 2021, MariaDB + + This program is free software; you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation; version 2 of the License. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program; if not, write to the Free Software + Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1335 USA */ + +/* + * Copyright 2016 Ferry Toth, Exalon Delft BV, The Netherlands + * This software is provided 'as-is', without any express or implied + * warranty. In no event will the author be held liable for any damages + * arising from the use of this software. + * Permission is granted to anyone to use this software for any purpose, + * including commercial applications, and to alter it and redistribute it + * freely, subject to the following restrictions: + * 1. The origin of this software must not be misrepresented; you must not + * claim that you wrote the original software. If you use this software + * in a product, an acknowledgment in the product documentation would be + * appreciated but is not required. + * 2. Altered source versions must be plainly marked as such, and must not be + * misrepresented as being the original software. + * 3. This notice may not be removed or altered from any source distribution. + * Ferry Toth + * ftoth@exalondelft.nl + * + * https://github.com/htot/crc32c + * + * Modified by Facebook + * + * Original intel whitepaper: + * "Fast CRC Computation for iSCSI Polynomial Using CRC32 Instruction" + * https://www.intel.com/content/dam/www/public/us/en/documents/white-papers/crc-iscsi-polynomial-crc32-instruction-paper.pdf + * + * This version is from the folly library, created by Dave Watson <davejwatson@fb.com> + * +*/ + +#include <stdint.h> +#include <nmmintrin.h> +#include <wmmintrin.h> + + +#define CRCtriplet(crc, buf, offset) \ + crc##0 = _mm_crc32_u64(crc##0, *(buf##0 + offset)); \ + crc##1 = _mm_crc32_u64(crc##1, *(buf##1 + offset)); \ + crc##2 = _mm_crc32_u64(crc##2, *(buf##2 + offset)); + +#define CRCduplet(crc, buf, offset) \ + crc##0 = _mm_crc32_u64(crc##0, *(buf##0 + offset)); \ + crc##1 = _mm_crc32_u64(crc##1, *(buf##1 + offset)); + +#define CRCsinglet(crc, buf, offset) \ + crc = _mm_crc32_u64(crc, *(uint64_t*)(buf + offset)); + + +// Numbers taken directly from intel whitepaper. +// clang-format off +static const uint64_t clmul_constants alignas(16) [] = { + 0x14cd00bd6, 0x105ec76f0, 0x0ba4fc28e, 0x14cd00bd6, + 0x1d82c63da, 0x0f20c0dfe, 0x09e4addf8, 0x0ba4fc28e, + 0x039d3b296, 0x1384aa63a, 0x102f9b8a2, 0x1d82c63da, + 0x14237f5e6, 0x01c291d04, 0x00d3b6092, 0x09e4addf8, + 0x0c96cfdc0, 0x0740eef02, 0x18266e456, 0x039d3b296, + 0x0daece73e, 0x0083a6eec, 0x0ab7aff2a, 0x102f9b8a2, + 0x1248ea574, 0x1c1733996, 0x083348832, 0x14237f5e6, + 0x12c743124, 0x02ad91c30, 0x0b9e02b86, 0x00d3b6092, + 0x018b33a4e, 0x06992cea2, 0x1b331e26a, 0x0c96cfdc0, + 0x17d35ba46, 0x07e908048, 0x1bf2e8b8a, 0x18266e456, + 0x1a3e0968a, 0x11ed1f9d8, 0x0ce7f39f4, 0x0daece73e, + 0x061d82e56, 0x0f1d0f55e, 0x0d270f1a2, 0x0ab7aff2a, + 0x1c3f5f66c, 0x0a87ab8a8, 0x12ed0daac, 0x1248ea574, + 0x065863b64, 0x08462d800, 0x11eef4f8e, 0x083348832, + 0x1ee54f54c, 0x071d111a8, 0x0b3e32c28, 0x12c743124, + 0x0064f7f26, 0x0ffd852c6, 0x0dd7e3b0c, 0x0b9e02b86, + 0x0f285651c, 0x0dcb17aa4, 0x010746f3c, 0x018b33a4e, + 0x1c24afea4, 0x0f37c5aee, 0x0271d9844, 0x1b331e26a, + 0x08e766a0c, 0x06051d5a2, 0x093a5f730, 0x17d35ba46, + 0x06cb08e5c, 0x11d5ca20e, 0x06b749fb2, 0x1bf2e8b8a, + 0x1167f94f2, 0x021f3d99c, 0x0cec3662e, 0x1a3e0968a, + 0x19329634a, 0x08f158014, 0x0e6fc4e6a, 0x0ce7f39f4, + 0x08227bb8a, 0x1a5e82106, 0x0b0cd4768, 0x061d82e56, + 0x13c2b89c4, 0x188815ab2, 0x0d7a4825c, 0x0d270f1a2, + 0x10f5ff2ba, 0x105405f3e, 0x00167d312, 0x1c3f5f66c, + 0x0f6076544, 0x0e9adf796, 0x026f6a60a, 0x12ed0daac, + 0x1a2adb74e, 0x096638b34, 0x19d34af3a, 0x065863b64, + 0x049c3cc9c, 0x1e50585a0, 0x068bce87a, 0x11eef4f8e, + 0x1524fa6c6, 0x19f1c69dc, 0x16cba8aca, 0x1ee54f54c, + 0x042d98888, 0x12913343e, 0x1329d9f7e, 0x0b3e32c28, + 0x1b1c69528, 0x088f25a3a, 0x02178513a, 0x0064f7f26, + 0x0e0ac139e, 0x04e36f0b0, 0x0170076fa, 0x0dd7e3b0c, + 0x141a1a2e2, 0x0bd6f81f8, 0x16ad828b4, 0x0f285651c, + 0x041d17b64, 0x19425cbba, 0x1fae1cc66, 0x010746f3c, + 0x1a75b4b00, 0x18db37e8a, 0x0f872e54c, 0x1c24afea4, + 0x01e41e9fc, 0x04c144932, 0x086d8e4d2, 0x0271d9844, + 0x160f7af7a, 0x052148f02, 0x05bb8f1bc, 0x08e766a0c, + 0x0a90fd27a, 0x0a3c6f37a, 0x0b3af077a, 0x093a5f730, + 0x04984d782, 0x1d22c238e, 0x0ca6ef3ac, 0x06cb08e5c, + 0x0234e0b26, 0x063ded06a, 0x1d88abd4a, 0x06b749fb2, + 0x04597456a, 0x04d56973c, 0x0e9e28eb4, 0x1167f94f2, + 0x07b3ff57a, 0x19385bf2e, 0x0c9c8b782, 0x0cec3662e, + 0x13a9cba9e, 0x0e417f38a, 0x093e106a4, 0x19329634a, + 0x167001a9c, 0x14e727980, 0x1ddffc5d4, 0x0e6fc4e6a, + 0x00df04680, 0x0d104b8fc, 0x02342001e, 0x08227bb8a, + 0x00a2a8d7e, 0x05b397730, 0x168763fa6, 0x0b0cd4768, + 0x1ed5a407a, 0x0e78eb416, 0x0d2c3ed1a, 0x13c2b89c4, + 0x0995a5724, 0x1641378f0, 0x19b1afbc4, 0x0d7a4825c, + 0x109ffedc0, 0x08d96551c, 0x0f2271e60, 0x10f5ff2ba, + 0x00b0bf8ca, 0x00bf80dd2, 0x123888b7a, 0x00167d312, + 0x1e888f7dc, 0x18dcddd1c, 0x002ee03b2, 0x0f6076544, + 0x183e8d8fe, 0x06a45d2b2, 0x133d7a042, 0x026f6a60a, + 0x116b0f50c, 0x1dd3e10e8, 0x05fabe670, 0x1a2adb74e, + 0x130004488, 0x0de87806c, 0x000bcf5f6, 0x19d34af3a, + 0x18f0c7078, 0x014338754, 0x017f27698, 0x049c3cc9c, + 0x058ca5f00, 0x15e3e77ee, 0x1af900c24, 0x068bce87a, + 0x0b5cfca28, 0x0dd07448e, 0x0ded288f8, 0x1524fa6c6, + 0x059f229bc, 0x1d8048348, 0x06d390dec, 0x16cba8aca, + 0x037170390, 0x0a3e3e02c, 0x06353c1cc, 0x042d98888, + 0x0c4584f5c, 0x0d73c7bea, 0x1f16a3418, 0x1329d9f7e, + 0x0531377e2, 0x185137662, 0x1d8d9ca7c, 0x1b1c69528, + 0x0b25b29f2, 0x18a08b5bc, 0x19fb2a8b0, 0x02178513a, + 0x1a08fe6ac, 0x1da758ae0, 0x045cddf4e, 0x0e0ac139e, + 0x1a91647f2, 0x169cf9eb0, 0x1a0f717c4, 0x0170076fa, +}; + +// Compute the crc32c value for buffer smaller than 8 +static inline void align_to_8( + size_t len, + uint64_t& crc0, // crc so far, updated on return + const unsigned char*& next) { // next data pointer, updated on return + uint32_t crc32bit = static_cast<uint32_t>(crc0); + if (len & 0x04) { + crc32bit = _mm_crc32_u32(crc32bit, *(uint32_t*)next); + next += sizeof(uint32_t); + } + if (len & 0x02) { + crc32bit = _mm_crc32_u16(crc32bit, *(uint16_t*)next); + next += sizeof(uint16_t); + } + if (len & 0x01) { + crc32bit = _mm_crc32_u8(crc32bit, *(next)); + next++; + } + crc0 = crc32bit; +} + +// +// CombineCRC performs pclmulqdq multiplication of 2 partial CRC's and a well +// chosen constant and xor's these with the remaining CRC. +// +static inline uint64_t CombineCRC( + size_t block_size, + uint64_t crc0, + uint64_t crc1, + uint64_t crc2, + const uint64_t* next2) { + const auto multiplier = + *(reinterpret_cast<const __m128i*>(clmul_constants) + block_size - 1); + const auto crc0_xmm = _mm_set_epi64x(0, crc0); + const auto res0 = _mm_clmulepi64_si128(crc0_xmm, multiplier, 0x00); + const auto crc1_xmm = _mm_set_epi64x(0, crc1); + const auto res1 = _mm_clmulepi64_si128(crc1_xmm, multiplier, 0x10); + const auto res = _mm_xor_si128(res0, res1); + crc0 = _mm_cvtsi128_si64(res); + crc0 = crc0 ^ *((uint64_t*)next2 - 1); + crc2 = _mm_crc32_u64(crc2, crc0); + return crc2; +} + +// Compute CRC-32C using the Intel hardware instruction. +extern "C" +uint32_t crc32c_3way(uint32_t crc, const char *buf, size_t len) +{ + const unsigned char* next = (const unsigned char*)buf; + uint64_t count; + uint64_t crc0, crc1, crc2; + crc0 = crc ^ 0xffffffffu; + + + if (len >= 8) { + // if len > 216 then align and use triplets + if (len > 216) { + { + // Work on the bytes (< 8) before the first 8-byte alignment addr starts + auto align_bytes = (8 - (uintptr_t)next) & 7; + len -= align_bytes; + align_to_8(align_bytes, crc0, next); + } + + // Now work on the remaining blocks + count = len / 24; // number of triplets + len %= 24; // bytes remaining + uint64_t n = count >> 7; // #blocks = first block + full blocks + uint64_t block_size = count & 127; + if (block_size == 0) { + block_size = 128; + } else { + n++; + } + // points to the first byte of the next block + const uint64_t* next0 = (uint64_t*)next + block_size; + const uint64_t* next1 = next0 + block_size; + const uint64_t* next2 = next1 + block_size; + + crc1 = crc2 = 0; + // Use Duff's device, a for() loop inside a switch() + // statement. This needs to execute at least once, round len + // down to nearest triplet multiple + switch (block_size) { + case 128: + do { + // jumps here for a full block of len 128 + CRCtriplet(crc, next, -128); + /* fallthrough */ + case 127: + // jumps here or below for the first block smaller + CRCtriplet(crc, next, -127); + /* fallthrough */ + case 126: + CRCtriplet(crc, next, -126); // than 128 + /* fallthrough */ + case 125: + CRCtriplet(crc, next, -125); + /* fallthrough */ + case 124: + CRCtriplet(crc, next, -124); + /* fallthrough */ + case 123: + CRCtriplet(crc, next, -123); + /* fallthrough */ + case 122: + CRCtriplet(crc, next, -122); + /* fallthrough */ + case 121: + CRCtriplet(crc, next, -121); + /* fallthrough */ + case 120: + CRCtriplet(crc, next, -120); + /* fallthrough */ + case 119: + CRCtriplet(crc, next, -119); + /* fallthrough */ + case 118: + CRCtriplet(crc, next, -118); + /* fallthrough */ + case 117: + CRCtriplet(crc, next, -117); + /* fallthrough */ + case 116: + CRCtriplet(crc, next, -116); + /* fallthrough */ + case 115: + CRCtriplet(crc, next, -115); + /* fallthrough */ + case 114: + CRCtriplet(crc, next, -114); + /* fallthrough */ + case 113: + CRCtriplet(crc, next, -113); + /* fallthrough */ + case 112: + CRCtriplet(crc, next, -112); + /* fallthrough */ + case 111: + CRCtriplet(crc, next, -111); + /* fallthrough */ + case 110: + CRCtriplet(crc, next, -110); + /* fallthrough */ + case 109: + CRCtriplet(crc, next, -109); + /* fallthrough */ + case 108: + CRCtriplet(crc, next, -108); + /* fallthrough */ + case 107: + CRCtriplet(crc, next, -107); + /* fallthrough */ + case 106: + CRCtriplet(crc, next, -106); + /* fallthrough */ + case 105: + CRCtriplet(crc, next, -105); + /* fallthrough */ + case 104: + CRCtriplet(crc, next, -104); + /* fallthrough */ + case 103: + CRCtriplet(crc, next, -103); + /* fallthrough */ + case 102: + CRCtriplet(crc, next, -102); + /* fallthrough */ + case 101: + CRCtriplet(crc, next, -101); + /* fallthrough */ + case 100: + CRCtriplet(crc, next, -100); + /* fallthrough */ + case 99: + CRCtriplet(crc, next, -99); + /* fallthrough */ + case 98: + CRCtriplet(crc, next, -98); + /* fallthrough */ + case 97: + CRCtriplet(crc, next, -97); + /* fallthrough */ + case 96: + CRCtriplet(crc, next, -96); + /* fallthrough */ + case 95: + CRCtriplet(crc, next, -95); + /* fallthrough */ + case 94: + CRCtriplet(crc, next, -94); + /* fallthrough */ + case 93: + CRCtriplet(crc, next, -93); + /* fallthrough */ + case 92: + CRCtriplet(crc, next, -92); + /* fallthrough */ + case 91: + CRCtriplet(crc, next, -91); + /* fallthrough */ + case 90: + CRCtriplet(crc, next, -90); + /* fallthrough */ + case 89: + CRCtriplet(crc, next, -89); + /* fallthrough */ + case 88: + CRCtriplet(crc, next, -88); + /* fallthrough */ + case 87: + CRCtriplet(crc, next, -87); + /* fallthrough */ + case 86: + CRCtriplet(crc, next, -86); + /* fallthrough */ + case 85: + CRCtriplet(crc, next, -85); + /* fallthrough */ + case 84: + CRCtriplet(crc, next, -84); + /* fallthrough */ + case 83: + CRCtriplet(crc, next, -83); + /* fallthrough */ + case 82: + CRCtriplet(crc, next, -82); + /* fallthrough */ + case 81: + CRCtriplet(crc, next, -81); + /* fallthrough */ + case 80: + CRCtriplet(crc, next, -80); + /* fallthrough */ + case 79: + CRCtriplet(crc, next, -79); + /* fallthrough */ + case 78: + CRCtriplet(crc, next, -78); + /* fallthrough */ + case 77: + CRCtriplet(crc, next, -77); + /* fallthrough */ + case 76: + CRCtriplet(crc, next, -76); + /* fallthrough */ + case 75: + CRCtriplet(crc, next, -75); + /* fallthrough */ + case 74: + CRCtriplet(crc, next, -74); + /* fallthrough */ + case 73: + CRCtriplet(crc, next, -73); + /* fallthrough */ + case 72: + CRCtriplet(crc, next, -72); + /* fallthrough */ + case 71: + CRCtriplet(crc, next, -71); + /* fallthrough */ + case 70: + CRCtriplet(crc, next, -70); + /* fallthrough */ + case 69: + CRCtriplet(crc, next, -69); + /* fallthrough */ + case 68: + CRCtriplet(crc, next, -68); + /* fallthrough */ + case 67: + CRCtriplet(crc, next, -67); + /* fallthrough */ + case 66: + CRCtriplet(crc, next, -66); + /* fallthrough */ + case 65: + CRCtriplet(crc, next, -65); + /* fallthrough */ + case 64: + CRCtriplet(crc, next, -64); + /* fallthrough */ + case 63: + CRCtriplet(crc, next, -63); + /* fallthrough */ + case 62: + CRCtriplet(crc, next, -62); + /* fallthrough */ + case 61: + CRCtriplet(crc, next, -61); + /* fallthrough */ + case 60: + CRCtriplet(crc, next, -60); + /* fallthrough */ + case 59: + CRCtriplet(crc, next, -59); + /* fallthrough */ + case 58: + CRCtriplet(crc, next, -58); + /* fallthrough */ + case 57: + CRCtriplet(crc, next, -57); + /* fallthrough */ + case 56: + CRCtriplet(crc, next, -56); + /* fallthrough */ + case 55: + CRCtriplet(crc, next, -55); + /* fallthrough */ + case 54: + CRCtriplet(crc, next, -54); + /* fallthrough */ + case 53: + CRCtriplet(crc, next, -53); + /* fallthrough */ + case 52: + CRCtriplet(crc, next, -52); + /* fallthrough */ + case 51: + CRCtriplet(crc, next, -51); + /* fallthrough */ + case 50: + CRCtriplet(crc, next, -50); + /* fallthrough */ + case 49: + CRCtriplet(crc, next, -49); + /* fallthrough */ + case 48: + CRCtriplet(crc, next, -48); + /* fallthrough */ + case 47: + CRCtriplet(crc, next, -47); + /* fallthrough */ + case 46: + CRCtriplet(crc, next, -46); + /* fallthrough */ + case 45: + CRCtriplet(crc, next, -45); + /* fallthrough */ + case 44: + CRCtriplet(crc, next, -44); + /* fallthrough */ + case 43: + CRCtriplet(crc, next, -43); + /* fallthrough */ + case 42: + CRCtriplet(crc, next, -42); + /* fallthrough */ + case 41: + CRCtriplet(crc, next, -41); + /* fallthrough */ + case 40: + CRCtriplet(crc, next, -40); + /* fallthrough */ + case 39: + CRCtriplet(crc, next, -39); + /* fallthrough */ + case 38: + CRCtriplet(crc, next, -38); + /* fallthrough */ + case 37: + CRCtriplet(crc, next, -37); + /* fallthrough */ + case 36: + CRCtriplet(crc, next, -36); + /* fallthrough */ + case 35: + CRCtriplet(crc, next, -35); + /* fallthrough */ + case 34: + CRCtriplet(crc, next, -34); + /* fallthrough */ + case 33: + CRCtriplet(crc, next, -33); + /* fallthrough */ + case 32: + CRCtriplet(crc, next, -32); + /* fallthrough */ + case 31: + CRCtriplet(crc, next, -31); + /* fallthrough */ + case 30: + CRCtriplet(crc, next, -30); + /* fallthrough */ + case 29: + CRCtriplet(crc, next, -29); + /* fallthrough */ + case 28: + CRCtriplet(crc, next, -28); + /* fallthrough */ + case 27: + CRCtriplet(crc, next, -27); + /* fallthrough */ + case 26: + CRCtriplet(crc, next, -26); + /* fallthrough */ + case 25: + CRCtriplet(crc, next, -25); + /* fallthrough */ + case 24: + CRCtriplet(crc, next, -24); + /* fallthrough */ + case 23: + CRCtriplet(crc, next, -23); + /* fallthrough */ + case 22: + CRCtriplet(crc, next, -22); + /* fallthrough */ + case 21: + CRCtriplet(crc, next, -21); + /* fallthrough */ + case 20: + CRCtriplet(crc, next, -20); + /* fallthrough */ + case 19: + CRCtriplet(crc, next, -19); + /* fallthrough */ + case 18: + CRCtriplet(crc, next, -18); + /* fallthrough */ + case 17: + CRCtriplet(crc, next, -17); + /* fallthrough */ + case 16: + CRCtriplet(crc, next, -16); + /* fallthrough */ + case 15: + CRCtriplet(crc, next, -15); + /* fallthrough */ + case 14: + CRCtriplet(crc, next, -14); + /* fallthrough */ + case 13: + CRCtriplet(crc, next, -13); + /* fallthrough */ + case 12: + CRCtriplet(crc, next, -12); + /* fallthrough */ + case 11: + CRCtriplet(crc, next, -11); + /* fallthrough */ + case 10: + CRCtriplet(crc, next, -10); + /* fallthrough */ + case 9: + CRCtriplet(crc, next, -9); + /* fallthrough */ + case 8: + CRCtriplet(crc, next, -8); + /* fallthrough */ + case 7: + CRCtriplet(crc, next, -7); + /* fallthrough */ + case 6: + CRCtriplet(crc, next, -6); + /* fallthrough */ + case 5: + CRCtriplet(crc, next, -5); + /* fallthrough */ + case 4: + CRCtriplet(crc, next, -4); + /* fallthrough */ + case 3: + CRCtriplet(crc, next, -3); + /* fallthrough */ + case 2: + CRCtriplet(crc, next, -2); + /* fallthrough */ + case 1: + CRCduplet(crc, next, -1); // the final triplet is actually only 2 + //{ CombineCRC(); } + crc0 = CombineCRC(block_size, crc0, crc1, crc2, next2); + if (--n > 0) { + crc1 = crc2 = 0; + block_size = 128; + // points to the first byte of the next block + next0 = next2 + 128; + next1 = next0 + 128; // from here on all blocks are 128 long + next2 = next1 + 128; + } + /* fallthrough */ + case 0:; + } while (n > 0); + } + next = (const unsigned char*)next2; + } + uint64_t count2 = len >> 3; // 216 of less bytes is 27 or less singlets + len = len & 7; + next += (count2 * 8); + switch (count2) { + case 27: + CRCsinglet(crc0, next, -27 * 8); + /* fallthrough */ + case 26: + CRCsinglet(crc0, next, -26 * 8); + /* fallthrough */ + case 25: + CRCsinglet(crc0, next, -25 * 8); + /* fallthrough */ + case 24: + CRCsinglet(crc0, next, -24 * 8); + /* fallthrough */ + case 23: + CRCsinglet(crc0, next, -23 * 8); + /* fallthrough */ + case 22: + CRCsinglet(crc0, next, -22 * 8); + /* fallthrough */ + case 21: + CRCsinglet(crc0, next, -21 * 8); + /* fallthrough */ + case 20: + CRCsinglet(crc0, next, -20 * 8); + /* fallthrough */ + case 19: + CRCsinglet(crc0, next, -19 * 8); + /* fallthrough */ + case 18: + CRCsinglet(crc0, next, -18 * 8); + /* fallthrough */ + case 17: + CRCsinglet(crc0, next, -17 * 8); + /* fallthrough */ + case 16: + CRCsinglet(crc0, next, -16 * 8); + /* fallthrough */ + case 15: + CRCsinglet(crc0, next, -15 * 8); + /* fallthrough */ + case 14: + CRCsinglet(crc0, next, -14 * 8); + /* fallthrough */ + case 13: + CRCsinglet(crc0, next, -13 * 8); + /* fallthrough */ + case 12: + CRCsinglet(crc0, next, -12 * 8); + /* fallthrough */ + case 11: + CRCsinglet(crc0, next, -11 * 8); + /* fallthrough */ + case 10: + CRCsinglet(crc0, next, -10 * 8); + /* fallthrough */ + case 9: + CRCsinglet(crc0, next, -9 * 8); + /* fallthrough */ + case 8: + CRCsinglet(crc0, next, -8 * 8); + /* fallthrough */ + case 7: + CRCsinglet(crc0, next, -7 * 8); + /* fallthrough */ + case 6: + CRCsinglet(crc0, next, -6 * 8); + /* fallthrough */ + case 5: + CRCsinglet(crc0, next, -5 * 8); + /* fallthrough */ + case 4: + CRCsinglet(crc0, next, -4 * 8); + /* fallthrough */ + case 3: + CRCsinglet(crc0, next, -3 * 8); + /* fallthrough */ + case 2: + CRCsinglet(crc0, next, -2 * 8); + /* fallthrough */ + case 1: + CRCsinglet(crc0, next, -1 * 8); + /* fallthrough */ + case 0:; + } + } + { + align_to_8(len, crc0, next); + return (uint32_t)crc0 ^ 0xffffffffu; + } +} diff --git a/mysys/crc32/crc32c_ppc.c b/mysys/crc32/crc32c_ppc.c new file mode 100644 index 00000000..72f24283 --- /dev/null +++ b/mysys/crc32/crc32c_ppc.c @@ -0,0 +1,5 @@ +#define CRC32_FUNCTION crc32c_ppc +#define CRC_TABLE +#define POWER8_INTRINSICS +#include "pcc_crc32c_constants.h" +#include "crc_ppc64.h" diff --git a/mysys/crc32/crc32c_ppc.h b/mysys/crc32/crc32c_ppc.h new file mode 100644 index 00000000..c359061c --- /dev/null +++ b/mysys/crc32/crc32c_ppc.h @@ -0,0 +1,19 @@ +// Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved. +// Copyright (c) 2017 International Business Machines Corp. +// All rights reserved. +// This source code is licensed under both the GPLv2 (found in the +// COPYING file in the root directory) and Apache 2.0 License +// (found in the LICENSE.Apache file in the root directory). + +#pragma once + +#ifdef __cplusplus +extern "C" { +#endif + +extern uint32_t crc32c_ppc(uint32_t crc, unsigned char const *buffer, + unsigned len); + +#ifdef __cplusplus +} +#endif diff --git a/mysys/crc32/crc_ppc64.h b/mysys/crc32/crc_ppc64.h new file mode 100644 index 00000000..eb9379ab --- /dev/null +++ b/mysys/crc32/crc_ppc64.h @@ -0,0 +1,664 @@ +/* + * 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 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); + + +unsigned int CRC32_FUNCTION(unsigned int crc, const unsigned char *p, + unsigned long len) +{ + unsigned int prealign; + unsigned int tail; + +#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 + __vector unsigned char vsht_splat; + 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 */ + 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; +} diff --git a/mysys/crc32/pcc_crc32_constants.h b/mysys/crc32/pcc_crc32_constants.h new file mode 100644 index 00000000..2e07d257 --- /dev/null +++ b/mysys/crc32/pcc_crc32_constants.h @@ -0,0 +1,1206 @@ +/* +* +* THIS FILE IS GENERATED WITH +./crc32_constants -c -x -r 0x4c11db7 + +* 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__ */ diff --git a/mysys/crc32/pcc_crc32c_constants.h b/mysys/crc32/pcc_crc32c_constants.h new file mode 100644 index 00000000..40b216b6 --- /dev/null +++ b/mysys/crc32/pcc_crc32c_constants.h @@ -0,0 +1,1206 @@ +/* +* +* THIS FILE IS GENERATED WITH +./crc32_constants -c -x -r 0x1edc6f41 + +* This is from https://github.com/antonblanchard/crc32-vpmsum/ +* DO NOT MODIFY IT MANUALLY! +* +*/ + +#define CRC 0x1edc6f41 +#define CRC_XOR +#define REFLECT +#define MAX_SIZE 32768 + +#ifndef __ASSEMBLER__ +#ifdef CRC_TABLE +static const unsigned int crc_table[] = { + 0x00000000, 0xf26b8303, 0xe13b70f7, 0x1350f3f4, + 0xc79a971f, 0x35f1141c, 0x26a1e7e8, 0xd4ca64eb, + 0x8ad958cf, 0x78b2dbcc, 0x6be22838, 0x9989ab3b, + 0x4d43cfd0, 0xbf284cd3, 0xac78bf27, 0x5e133c24, + 0x105ec76f, 0xe235446c, 0xf165b798, 0x030e349b, + 0xd7c45070, 0x25afd373, 0x36ff2087, 0xc494a384, + 0x9a879fa0, 0x68ec1ca3, 0x7bbcef57, 0x89d76c54, + 0x5d1d08bf, 0xaf768bbc, 0xbc267848, 0x4e4dfb4b, + 0x20bd8ede, 0xd2d60ddd, 0xc186fe29, 0x33ed7d2a, + 0xe72719c1, 0x154c9ac2, 0x061c6936, 0xf477ea35, + 0xaa64d611, 0x580f5512, 0x4b5fa6e6, 0xb93425e5, + 0x6dfe410e, 0x9f95c20d, 0x8cc531f9, 0x7eaeb2fa, + 0x30e349b1, 0xc288cab2, 0xd1d83946, 0x23b3ba45, + 0xf779deae, 0x05125dad, 0x1642ae59, 0xe4292d5a, + 0xba3a117e, 0x4851927d, 0x5b016189, 0xa96ae28a, + 0x7da08661, 0x8fcb0562, 0x9c9bf696, 0x6ef07595, + 0x417b1dbc, 0xb3109ebf, 0xa0406d4b, 0x522bee48, + 0x86e18aa3, 0x748a09a0, 0x67dafa54, 0x95b17957, + 0xcba24573, 0x39c9c670, 0x2a993584, 0xd8f2b687, + 0x0c38d26c, 0xfe53516f, 0xed03a29b, 0x1f682198, + 0x5125dad3, 0xa34e59d0, 0xb01eaa24, 0x42752927, + 0x96bf4dcc, 0x64d4cecf, 0x77843d3b, 0x85efbe38, + 0xdbfc821c, 0x2997011f, 0x3ac7f2eb, 0xc8ac71e8, + 0x1c661503, 0xee0d9600, 0xfd5d65f4, 0x0f36e6f7, + 0x61c69362, 0x93ad1061, 0x80fde395, 0x72966096, + 0xa65c047d, 0x5437877e, 0x4767748a, 0xb50cf789, + 0xeb1fcbad, 0x197448ae, 0x0a24bb5a, 0xf84f3859, + 0x2c855cb2, 0xdeeedfb1, 0xcdbe2c45, 0x3fd5af46, + 0x7198540d, 0x83f3d70e, 0x90a324fa, 0x62c8a7f9, + 0xb602c312, 0x44694011, 0x5739b3e5, 0xa55230e6, + 0xfb410cc2, 0x092a8fc1, 0x1a7a7c35, 0xe811ff36, + 0x3cdb9bdd, 0xceb018de, 0xdde0eb2a, 0x2f8b6829, + 0x82f63b78, 0x709db87b, 0x63cd4b8f, 0x91a6c88c, + 0x456cac67, 0xb7072f64, 0xa457dc90, 0x563c5f93, + 0x082f63b7, 0xfa44e0b4, 0xe9141340, 0x1b7f9043, + 0xcfb5f4a8, 0x3dde77ab, 0x2e8e845f, 0xdce5075c, + 0x92a8fc17, 0x60c37f14, 0x73938ce0, 0x81f80fe3, + 0x55326b08, 0xa759e80b, 0xb4091bff, 0x466298fc, + 0x1871a4d8, 0xea1a27db, 0xf94ad42f, 0x0b21572c, + 0xdfeb33c7, 0x2d80b0c4, 0x3ed04330, 0xccbbc033, + 0xa24bb5a6, 0x502036a5, 0x4370c551, 0xb11b4652, + 0x65d122b9, 0x97baa1ba, 0x84ea524e, 0x7681d14d, + 0x2892ed69, 0xdaf96e6a, 0xc9a99d9e, 0x3bc21e9d, + 0xef087a76, 0x1d63f975, 0x0e330a81, 0xfc588982, + 0xb21572c9, 0x407ef1ca, 0x532e023e, 0xa145813d, + 0x758fe5d6, 0x87e466d5, 0x94b49521, 0x66df1622, + 0x38cc2a06, 0xcaa7a905, 0xd9f75af1, 0x2b9cd9f2, + 0xff56bd19, 0x0d3d3e1a, 0x1e6dcdee, 0xec064eed, + 0xc38d26c4, 0x31e6a5c7, 0x22b65633, 0xd0ddd530, + 0x0417b1db, 0xf67c32d8, 0xe52cc12c, 0x1747422f, + 0x49547e0b, 0xbb3ffd08, 0xa86f0efc, 0x5a048dff, + 0x8ecee914, 0x7ca56a17, 0x6ff599e3, 0x9d9e1ae0, + 0xd3d3e1ab, 0x21b862a8, 0x32e8915c, 0xc083125f, + 0x144976b4, 0xe622f5b7, 0xf5720643, 0x07198540, + 0x590ab964, 0xab613a67, 0xb831c993, 0x4a5a4a90, + 0x9e902e7b, 0x6cfbad78, 0x7fab5e8c, 0x8dc0dd8f, + 0xe330a81a, 0x115b2b19, 0x020bd8ed, 0xf0605bee, + 0x24aa3f05, 0xd6c1bc06, 0xc5914ff2, 0x37faccf1, + 0x69e9f0d5, 0x9b8273d6, 0x88d28022, 0x7ab90321, + 0xae7367ca, 0x5c18e4c9, 0x4f48173d, 0xbd23943e, + 0xf36e6f75, 0x0105ec76, 0x12551f82, 0xe03e9c81, + 0x34f4f86a, 0xc69f7b69, 0xd5cf889d, 0x27a40b9e, + 0x79b737ba, 0x8bdcb4b9, 0x988c474d, 0x6ae7c44e, + 0xbe2da0a5, 0x4c4623a6, 0x5f16d052, 0xad7d5351,}; + +#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 */ + { 0x000000009c37c408, 0x00000000b6ca9e20 }, + /* x^260096 mod p(x)` << 1, x^260160 mod p(x)` << 1 */ + { 0x00000001b51df26c, 0x00000000350249a8 }, + /* x^259072 mod p(x)` << 1, x^259136 mod p(x)` << 1 */ + { 0x000000000724b9d0, 0x00000001862dac54 }, + /* x^258048 mod p(x)` << 1, x^258112 mod p(x)` << 1 */ + { 0x00000001c00532fe, 0x00000001d87fb48c }, + /* x^257024 mod p(x)` << 1, x^257088 mod p(x)` << 1 */ + { 0x00000000f05a9362, 0x00000001f39b699e }, + /* x^256000 mod p(x)` << 1, x^256064 mod p(x)` << 1 */ + { 0x00000001e1007970, 0x0000000101da11b4 }, + /* x^254976 mod p(x)` << 1, x^255040 mod p(x)` << 1 */ + { 0x00000000a57366ee, 0x00000001cab571e0 }, + /* x^253952 mod p(x)` << 1, x^254016 mod p(x)` << 1 */ + { 0x0000000192011284, 0x00000000c7020cfe }, + /* x^252928 mod p(x)` << 1, x^252992 mod p(x)` << 1 */ + { 0x0000000162716d9a, 0x00000000cdaed1ae }, + /* x^251904 mod p(x)` << 1, x^251968 mod p(x)` << 1 */ + { 0x00000000cd97ecde, 0x00000001e804effc }, + /* x^250880 mod p(x)` << 1, x^250944 mod p(x)` << 1 */ + { 0x0000000058812bc0, 0x0000000077c3ea3a }, + /* x^249856 mod p(x)` << 1, x^249920 mod p(x)` << 1 */ + { 0x0000000088b8c12e, 0x0000000068df31b4 }, + /* x^248832 mod p(x)` << 1, x^248896 mod p(x)` << 1 */ + { 0x00000001230b234c, 0x00000000b059b6c2 }, + /* x^247808 mod p(x)` << 1, x^247872 mod p(x)` << 1 */ + { 0x00000001120b416e, 0x0000000145fb8ed8 }, + /* x^246784 mod p(x)` << 1, x^246848 mod p(x)` << 1 */ + { 0x00000001974aecb0, 0x00000000cbc09168 }, + /* x^245760 mod p(x)` << 1, x^245824 mod p(x)` << 1 */ + { 0x000000008ee3f226, 0x000000005ceeedc2 }, + /* x^244736 mod p(x)` << 1, x^244800 mod p(x)` << 1 */ + { 0x00000001089aba9a, 0x0000000047d74e86 }, + /* x^243712 mod p(x)` << 1, x^243776 mod p(x)` << 1 */ + { 0x0000000065113872, 0x00000001407e9e22 }, + /* x^242688 mod p(x)` << 1, x^242752 mod p(x)` << 1 */ + { 0x000000005c07ec10, 0x00000001da967bda }, + /* x^241664 mod p(x)` << 1, x^241728 mod p(x)` << 1 */ + { 0x0000000187590924, 0x000000006c898368 }, + /* x^240640 mod p(x)` << 1, x^240704 mod p(x)` << 1 */ + { 0x00000000e35da7c6, 0x00000000f2d14c98 }, + /* x^239616 mod p(x)` << 1, x^239680 mod p(x)` << 1 */ + { 0x000000000415855a, 0x00000001993c6ad4 }, + /* x^238592 mod p(x)` << 1, x^238656 mod p(x)` << 1 */ + { 0x0000000073617758, 0x000000014683d1ac }, + /* x^237568 mod p(x)` << 1, x^237632 mod p(x)` << 1 */ + { 0x0000000176021d28, 0x00000001a7c93e6c }, + /* x^236544 mod p(x)` << 1, x^236608 mod p(x)` << 1 */ + { 0x00000001c358fd0a, 0x000000010211e90a }, + /* x^235520 mod p(x)` << 1, x^235584 mod p(x)` << 1 */ + { 0x00000001ff7a2c18, 0x000000001119403e }, + /* x^234496 mod p(x)` << 1, x^234560 mod p(x)` << 1 */ + { 0x00000000f2d9f7e4, 0x000000001c3261aa }, + /* x^233472 mod p(x)` << 1, x^233536 mod p(x)` << 1 */ + { 0x000000016cf1f9c8, 0x000000014e37a634 }, + /* x^232448 mod p(x)` << 1, x^232512 mod p(x)` << 1 */ + { 0x000000010af9279a, 0x0000000073786c0c }, + /* x^231424 mod p(x)` << 1, x^231488 mod p(x)` << 1 */ + { 0x0000000004f101e8, 0x000000011dc037f8 }, + /* x^230400 mod p(x)` << 1, x^230464 mod p(x)` << 1 */ + { 0x0000000070bcf184, 0x0000000031433dfc }, + /* x^229376 mod p(x)` << 1, x^229440 mod p(x)` << 1 */ + { 0x000000000a8de642, 0x000000009cde8348 }, + /* x^228352 mod p(x)` << 1, x^228416 mod p(x)` << 1 */ + { 0x0000000062ea130c, 0x0000000038d3c2a6 }, + /* x^227328 mod p(x)` << 1, x^227392 mod p(x)` << 1 */ + { 0x00000001eb31cbb2, 0x000000011b25f260 }, + /* x^226304 mod p(x)` << 1, x^226368 mod p(x)` << 1 */ + { 0x0000000170783448, 0x000000001629e6f0 }, + /* x^225280 mod p(x)` << 1, x^225344 mod p(x)` << 1 */ + { 0x00000001a684b4c6, 0x0000000160838b4c }, + /* x^224256 mod p(x)` << 1, x^224320 mod p(x)` << 1 */ + { 0x00000000253ca5b4, 0x000000007a44011c }, + /* x^223232 mod p(x)` << 1, x^223296 mod p(x)` << 1 */ + { 0x0000000057b4b1e2, 0x00000000226f417a }, + /* x^222208 mod p(x)` << 1, x^222272 mod p(x)` << 1 */ + { 0x00000000b6bd084c, 0x0000000045eb2eb4 }, + /* x^221184 mod p(x)` << 1, x^221248 mod p(x)` << 1 */ + { 0x0000000123c2d592, 0x000000014459d70c }, + /* x^220160 mod p(x)` << 1, x^220224 mod p(x)` << 1 */ + { 0x00000000159dafce, 0x00000001d406ed82 }, + /* x^219136 mod p(x)` << 1, x^219200 mod p(x)` << 1 */ + { 0x0000000127e1a64e, 0x0000000160c8e1a8 }, + /* x^218112 mod p(x)` << 1, x^218176 mod p(x)` << 1 */ + { 0x0000000056860754, 0x0000000027ba8098 }, + /* x^217088 mod p(x)` << 1, x^217152 mod p(x)` << 1 */ + { 0x00000001e661aae8, 0x000000006d92d018 }, + /* x^216064 mod p(x)` << 1, x^216128 mod p(x)` << 1 */ + { 0x00000000f82c6166, 0x000000012ed7e3f2 }, + /* x^215040 mod p(x)` << 1, x^215104 mod p(x)` << 1 */ + { 0x00000000c4f9c7ae, 0x000000002dc87788 }, + /* x^214016 mod p(x)` << 1, x^214080 mod p(x)` << 1 */ + { 0x0000000074203d20, 0x0000000018240bb8 }, + /* x^212992 mod p(x)` << 1, x^213056 mod p(x)` << 1 */ + { 0x0000000198173052, 0x000000001ad38158 }, + /* x^211968 mod p(x)` << 1, x^212032 mod p(x)` << 1 */ + { 0x00000001ce8aba54, 0x00000001396b78f2 }, + /* x^210944 mod p(x)` << 1, x^211008 mod p(x)` << 1 */ + { 0x00000001850d5d94, 0x000000011a681334 }, + /* x^209920 mod p(x)` << 1, x^209984 mod p(x)` << 1 */ + { 0x00000001d609239c, 0x000000012104732e }, + /* x^208896 mod p(x)` << 1, x^208960 mod p(x)` << 1 */ + { 0x000000001595f048, 0x00000000a140d90c }, + /* x^207872 mod p(x)` << 1, x^207936 mod p(x)` << 1 */ + { 0x0000000042ccee08, 0x00000001b7215eda }, + /* x^206848 mod p(x)` << 1, x^206912 mod p(x)` << 1 */ + { 0x000000010a389d74, 0x00000001aaf1df3c }, + /* x^205824 mod p(x)` << 1, x^205888 mod p(x)` << 1 */ + { 0x000000012a840da6, 0x0000000029d15b8a }, + /* x^204800 mod p(x)` << 1, x^204864 mod p(x)` << 1 */ + { 0x000000001d181c0c, 0x00000000f1a96922 }, + /* x^203776 mod p(x)` << 1, x^203840 mod p(x)` << 1 */ + { 0x0000000068b7d1f6, 0x00000001ac80d03c }, + /* x^202752 mod p(x)` << 1, x^202816 mod p(x)` << 1 */ + { 0x000000005b0f14fc, 0x000000000f11d56a }, + /* x^201728 mod p(x)` << 1, x^201792 mod p(x)` << 1 */ + { 0x0000000179e9e730, 0x00000001f1c022a2 }, + /* x^200704 mod p(x)` << 1, x^200768 mod p(x)` << 1 */ + { 0x00000001ce1368d6, 0x0000000173d00ae2 }, + /* x^199680 mod p(x)` << 1, x^199744 mod p(x)` << 1 */ + { 0x0000000112c3a84c, 0x00000001d4ffe4ac }, + /* x^198656 mod p(x)` << 1, x^198720 mod p(x)` << 1 */ + { 0x00000000de940fee, 0x000000016edc5ae4 }, + /* x^197632 mod p(x)` << 1, x^197696 mod p(x)` << 1 */ + { 0x00000000fe896b7e, 0x00000001f1a02140 }, + /* x^196608 mod p(x)` << 1, x^196672 mod p(x)` << 1 */ + { 0x00000001f797431c, 0x00000000ca0b28a0 }, + /* x^195584 mod p(x)` << 1, x^195648 mod p(x)` << 1 */ + { 0x0000000053e989ba, 0x00000001928e30a2 }, + /* x^194560 mod p(x)` << 1, x^194624 mod p(x)` << 1 */ + { 0x000000003920cd16, 0x0000000097b1b002 }, + /* x^193536 mod p(x)` << 1, x^193600 mod p(x)` << 1 */ + { 0x00000001e6f579b8, 0x00000000b15bf906 }, + /* x^192512 mod p(x)` << 1, x^192576 mod p(x)` << 1 */ + { 0x000000007493cb0a, 0x00000000411c5d52 }, + /* x^191488 mod p(x)` << 1, x^191552 mod p(x)` << 1 */ + { 0x00000001bdd376d8, 0x00000001c36f3300 }, + /* x^190464 mod p(x)` << 1, x^190528 mod p(x)` << 1 */ + { 0x000000016badfee6, 0x00000001119227e0 }, + /* x^189440 mod p(x)` << 1, x^189504 mod p(x)` << 1 */ + { 0x0000000071de5c58, 0x00000000114d4702 }, + /* x^188416 mod p(x)` << 1, x^188480 mod p(x)` << 1 */ + { 0x00000000453f317c, 0x00000000458b5b98 }, + /* x^187392 mod p(x)` << 1, x^187456 mod p(x)` << 1 */ + { 0x0000000121675cce, 0x000000012e31fb8e }, + /* x^186368 mod p(x)` << 1, x^186432 mod p(x)` << 1 */ + { 0x00000001f409ee92, 0x000000005cf619d8 }, + /* x^185344 mod p(x)` << 1, x^185408 mod p(x)` << 1 */ + { 0x00000000f36b9c88, 0x0000000063f4d8b2 }, + /* x^184320 mod p(x)` << 1, x^184384 mod p(x)` << 1 */ + { 0x0000000036b398f4, 0x000000004138dc8a }, + /* x^183296 mod p(x)` << 1, x^183360 mod p(x)` << 1 */ + { 0x00000001748f9adc, 0x00000001d29ee8e0 }, + /* x^182272 mod p(x)` << 1, x^182336 mod p(x)` << 1 */ + { 0x00000001be94ec00, 0x000000006a08ace8 }, + /* x^181248 mod p(x)` << 1, x^181312 mod p(x)` << 1 */ + { 0x00000000b74370d6, 0x0000000127d42010 }, + /* x^180224 mod p(x)` << 1, x^180288 mod p(x)` << 1 */ + { 0x00000001174d0b98, 0x0000000019d76b62 }, + /* x^179200 mod p(x)` << 1, x^179264 mod p(x)` << 1 */ + { 0x00000000befc06a4, 0x00000001b1471f6e }, + /* x^178176 mod p(x)` << 1, x^178240 mod p(x)` << 1 */ + { 0x00000001ae125288, 0x00000001f64c19cc }, + /* x^177152 mod p(x)` << 1, x^177216 mod p(x)` << 1 */ + { 0x0000000095c19b34, 0x00000000003c0ea0 }, + /* x^176128 mod p(x)` << 1, x^176192 mod p(x)` << 1 */ + { 0x00000001a78496f2, 0x000000014d73abf6 }, + /* x^175104 mod p(x)` << 1, x^175168 mod p(x)` << 1 */ + { 0x00000001ac5390a0, 0x00000001620eb844 }, + /* x^174080 mod p(x)` << 1, x^174144 mod p(x)` << 1 */ + { 0x000000002a80ed6e, 0x0000000147655048 }, + /* x^173056 mod p(x)` << 1, x^173120 mod p(x)` << 1 */ + { 0x00000001fa9b0128, 0x0000000067b5077e }, + /* x^172032 mod p(x)` << 1, x^172096 mod p(x)` << 1 */ + { 0x00000001ea94929e, 0x0000000010ffe206 }, + /* x^171008 mod p(x)` << 1, x^171072 mod p(x)` << 1 */ + { 0x0000000125f4305c, 0x000000000fee8f1e }, + /* x^169984 mod p(x)` << 1, x^170048 mod p(x)` << 1 */ + { 0x00000001471e2002, 0x00000001da26fbae }, + /* x^168960 mod p(x)` << 1, x^169024 mod p(x)` << 1 */ + { 0x0000000132d2253a, 0x00000001b3a8bd88 }, + /* x^167936 mod p(x)` << 1, x^168000 mod p(x)` << 1 */ + { 0x00000000f26b3592, 0x00000000e8f3898e }, + /* x^166912 mod p(x)` << 1, x^166976 mod p(x)` << 1 */ + { 0x00000000bc8b67b0, 0x00000000b0d0d28c }, + /* x^165888 mod p(x)` << 1, x^165952 mod p(x)` << 1 */ + { 0x000000013a826ef2, 0x0000000030f2a798 }, + /* x^164864 mod p(x)` << 1, x^164928 mod p(x)` << 1 */ + { 0x0000000081482c84, 0x000000000fba1002 }, + /* x^163840 mod p(x)` << 1, x^163904 mod p(x)` << 1 */ + { 0x00000000e77307c2, 0x00000000bdb9bd72 }, + /* x^162816 mod p(x)` << 1, x^162880 mod p(x)` << 1 */ + { 0x00000000d4a07ec8, 0x0000000075d3bf5a }, + /* x^161792 mod p(x)` << 1, x^161856 mod p(x)` << 1 */ + { 0x0000000017102100, 0x00000000ef1f98a0 }, + /* x^160768 mod p(x)` << 1, x^160832 mod p(x)` << 1 */ + { 0x00000000db406486, 0x00000000689c7602 }, + /* x^159744 mod p(x)` << 1, x^159808 mod p(x)` << 1 */ + { 0x0000000192db7f88, 0x000000016d5fa5fe }, + /* x^158720 mod p(x)` << 1, x^158784 mod p(x)` << 1 */ + { 0x000000018bf67b1e, 0x00000001d0d2b9ca }, + /* x^157696 mod p(x)` << 1, x^157760 mod p(x)` << 1 */ + { 0x000000007c09163e, 0x0000000041e7b470 }, + /* x^156672 mod p(x)` << 1, x^156736 mod p(x)` << 1 */ + { 0x000000000adac060, 0x00000001cbb6495e }, + /* x^155648 mod p(x)` << 1, x^155712 mod p(x)` << 1 */ + { 0x00000000bd8316ae, 0x000000010052a0b0 }, + /* x^154624 mod p(x)` << 1, x^154688 mod p(x)` << 1 */ + { 0x000000019f09ab54, 0x00000001d8effb5c }, + /* x^153600 mod p(x)` << 1, x^153664 mod p(x)` << 1 */ + { 0x0000000125155542, 0x00000001d969853c }, + /* x^152576 mod p(x)` << 1, x^152640 mod p(x)` << 1 */ + { 0x000000018fdb5882, 0x00000000523ccce2 }, + /* x^151552 mod p(x)` << 1, x^151616 mod p(x)` << 1 */ + { 0x00000000e794b3f4, 0x000000001e2436bc }, + /* x^150528 mod p(x)` << 1, x^150592 mod p(x)` << 1 */ + { 0x000000016f9bb022, 0x00000000ddd1c3a2 }, + /* x^149504 mod p(x)` << 1, x^149568 mod p(x)` << 1 */ + { 0x00000000290c9978, 0x0000000019fcfe38 }, + /* x^148480 mod p(x)` << 1, x^148544 mod p(x)` << 1 */ + { 0x0000000083c0f350, 0x00000001ce95db64 }, + /* x^147456 mod p(x)` << 1, x^147520 mod p(x)` << 1 */ + { 0x0000000173ea6628, 0x00000000af582806 }, + /* x^146432 mod p(x)` << 1, x^146496 mod p(x)` << 1 */ + { 0x00000001c8b4e00a, 0x00000001006388f6 }, + /* x^145408 mod p(x)` << 1, x^145472 mod p(x)` << 1 */ + { 0x00000000de95d6aa, 0x0000000179eca00a }, + /* x^144384 mod p(x)` << 1, x^144448 mod p(x)` << 1 */ + { 0x000000010b7f7248, 0x0000000122410a6a }, + /* x^143360 mod p(x)` << 1, x^143424 mod p(x)` << 1 */ + { 0x00000001326e3a06, 0x000000004288e87c }, + /* x^142336 mod p(x)` << 1, x^142400 mod p(x)` << 1 */ + { 0x00000000bb62c2e6, 0x000000016c5490da }, + /* x^141312 mod p(x)` << 1, x^141376 mod p(x)` << 1 */ + { 0x0000000156a4b2c2, 0x00000000d1c71f6e }, + /* x^140288 mod p(x)` << 1, x^140352 mod p(x)` << 1 */ + { 0x000000011dfe763a, 0x00000001b4ce08a6 }, + /* x^139264 mod p(x)` << 1, x^139328 mod p(x)` << 1 */ + { 0x000000007bcca8e2, 0x00000001466ba60c }, + /* x^138240 mod p(x)` << 1, x^138304 mod p(x)` << 1 */ + { 0x0000000186118faa, 0x00000001f6c488a4 }, + /* x^137216 mod p(x)` << 1, x^137280 mod p(x)` << 1 */ + { 0x0000000111a65a88, 0x000000013bfb0682 }, + /* x^136192 mod p(x)` << 1, x^136256 mod p(x)` << 1 */ + { 0x000000003565e1c4, 0x00000000690e9e54 }, + /* x^135168 mod p(x)` << 1, x^135232 mod p(x)` << 1 */ + { 0x000000012ed02a82, 0x00000000281346b6 }, + /* x^134144 mod p(x)` << 1, x^134208 mod p(x)` << 1 */ + { 0x00000000c486ecfc, 0x0000000156464024 }, + /* x^133120 mod p(x)` << 1, x^133184 mod p(x)` << 1 */ + { 0x0000000001b951b2, 0x000000016063a8dc }, + /* x^132096 mod p(x)` << 1, x^132160 mod p(x)` << 1 */ + { 0x0000000048143916, 0x0000000116a66362 }, + /* x^131072 mod p(x)` << 1, x^131136 mod p(x)` << 1 */ + { 0x00000001dc2ae124, 0x000000017e8aa4d2 }, + /* x^130048 mod p(x)` << 1, x^130112 mod p(x)` << 1 */ + { 0x00000001416c58d6, 0x00000001728eb10c }, + /* x^129024 mod p(x)` << 1, x^129088 mod p(x)` << 1 */ + { 0x00000000a479744a, 0x00000001b08fd7fa }, + /* x^128000 mod p(x)` << 1, x^128064 mod p(x)` << 1 */ + { 0x0000000096ca3a26, 0x00000001092a16e8 }, + /* x^126976 mod p(x)` << 1, x^127040 mod p(x)` << 1 */ + { 0x00000000ff223d4e, 0x00000000a505637c }, + /* x^125952 mod p(x)` << 1, x^126016 mod p(x)` << 1 */ + { 0x000000010e84da42, 0x00000000d94869b2 }, + /* x^124928 mod p(x)` << 1, x^124992 mod p(x)` << 1 */ + { 0x00000001b61ba3d0, 0x00000001c8b203ae }, + /* x^123904 mod p(x)` << 1, x^123968 mod p(x)` << 1 */ + { 0x00000000680f2de8, 0x000000005704aea0 }, + /* x^122880 mod p(x)` << 1, x^122944 mod p(x)` << 1 */ + { 0x000000008772a9a8, 0x000000012e295fa2 }, + /* x^121856 mod p(x)` << 1, x^121920 mod p(x)` << 1 */ + { 0x0000000155f295bc, 0x000000011d0908bc }, + /* x^120832 mod p(x)` << 1, x^120896 mod p(x)` << 1 */ + { 0x00000000595f9282, 0x0000000193ed97ea }, + /* x^119808 mod p(x)` << 1, x^119872 mod p(x)` << 1 */ + { 0x0000000164b1c25a, 0x000000013a0f1c52 }, + /* x^118784 mod p(x)` << 1, x^118848 mod p(x)` << 1 */ + { 0x00000000fbd67c50, 0x000000010c2c40c0 }, + /* x^117760 mod p(x)` << 1, x^117824 mod p(x)` << 1 */ + { 0x0000000096076268, 0x00000000ff6fac3e }, + /* x^116736 mod p(x)` << 1, x^116800 mod p(x)` << 1 */ + { 0x00000001d288e4cc, 0x000000017b3609c0 }, + /* x^115712 mod p(x)` << 1, x^115776 mod p(x)` << 1 */ + { 0x00000001eaac1bdc, 0x0000000088c8c922 }, + /* x^114688 mod p(x)` << 1, x^114752 mod p(x)` << 1 */ + { 0x00000001f1ea39e2, 0x00000001751baae6 }, + /* x^113664 mod p(x)` << 1, x^113728 mod p(x)` << 1 */ + { 0x00000001eb6506fc, 0x0000000107952972 }, + /* x^112640 mod p(x)` << 1, x^112704 mod p(x)` << 1 */ + { 0x000000010f806ffe, 0x0000000162b00abe }, + /* x^111616 mod p(x)` << 1, x^111680 mod p(x)` << 1 */ + { 0x000000010408481e, 0x000000000d7b404c }, + /* x^110592 mod p(x)` << 1, x^110656 mod p(x)` << 1 */ + { 0x0000000188260534, 0x00000000763b13d4 }, + /* x^109568 mod p(x)` << 1, x^109632 mod p(x)` << 1 */ + { 0x0000000058fc73e0, 0x00000000f6dc22d8 }, + /* x^108544 mod p(x)` << 1, x^108608 mod p(x)` << 1 */ + { 0x00000000391c59b8, 0x000000007daae060 }, + /* x^107520 mod p(x)` << 1, x^107584 mod p(x)` << 1 */ + { 0x000000018b638400, 0x000000013359ab7c }, + /* x^106496 mod p(x)` << 1, x^106560 mod p(x)` << 1 */ + { 0x000000011738f5c4, 0x000000008add438a }, + /* x^105472 mod p(x)` << 1, x^105536 mod p(x)` << 1 */ + { 0x000000008cf7c6da, 0x00000001edbefdea }, + /* x^104448 mod p(x)` << 1, x^104512 mod p(x)` << 1 */ + { 0x00000001ef97fb16, 0x000000004104e0f8 }, + /* x^103424 mod p(x)` << 1, x^103488 mod p(x)` << 1 */ + { 0x0000000102130e20, 0x00000000b48a8222 }, + /* x^102400 mod p(x)` << 1, x^102464 mod p(x)` << 1 */ + { 0x00000000db968898, 0x00000001bcb46844 }, + /* x^101376 mod p(x)` << 1, x^101440 mod p(x)` << 1 */ + { 0x00000000b5047b5e, 0x000000013293ce0a }, + /* x^100352 mod p(x)` << 1, x^100416 mod p(x)` << 1 */ + { 0x000000010b90fdb2, 0x00000001710d0844 }, + /* x^99328 mod p(x)` << 1, x^99392 mod p(x)` << 1 */ + { 0x000000004834a32e, 0x0000000117907f6e }, + /* x^98304 mod p(x)` << 1, x^98368 mod p(x)` << 1 */ + { 0x0000000059c8f2b0, 0x0000000087ddf93e }, + /* x^97280 mod p(x)` << 1, x^97344 mod p(x)` << 1 */ + { 0x0000000122cec508, 0x000000005970e9b0 }, + /* x^96256 mod p(x)` << 1, x^96320 mod p(x)` << 1 */ + { 0x000000000a330cda, 0x0000000185b2b7d0 }, + /* x^95232 mod p(x)` << 1, x^95296 mod p(x)` << 1 */ + { 0x000000014a47148c, 0x00000001dcee0efc }, + /* x^94208 mod p(x)` << 1, x^94272 mod p(x)` << 1 */ + { 0x0000000042c61cb8, 0x0000000030da2722 }, + /* x^93184 mod p(x)` << 1, x^93248 mod p(x)` << 1 */ + { 0x0000000012fe6960, 0x000000012f925a18 }, + /* x^92160 mod p(x)` << 1, x^92224 mod p(x)` << 1 */ + { 0x00000000dbda2c20, 0x00000000dd2e357c }, + /* x^91136 mod p(x)` << 1, x^91200 mod p(x)` << 1 */ + { 0x000000011122410c, 0x00000000071c80de }, + /* x^90112 mod p(x)` << 1, x^90176 mod p(x)` << 1 */ + { 0x00000000977b2070, 0x000000011513140a }, + /* x^89088 mod p(x)` << 1, x^89152 mod p(x)` << 1 */ + { 0x000000014050438e, 0x00000001df876e8e }, + /* x^88064 mod p(x)` << 1, x^88128 mod p(x)` << 1 */ + { 0x0000000147c840e8, 0x000000015f81d6ce }, + /* x^87040 mod p(x)` << 1, x^87104 mod p(x)` << 1 */ + { 0x00000001cc7c88ce, 0x000000019dd94dbe }, + /* x^86016 mod p(x)` << 1, x^86080 mod p(x)` << 1 */ + { 0x00000001476b35a4, 0x00000001373d206e }, + /* x^84992 mod p(x)` << 1, x^85056 mod p(x)` << 1 */ + { 0x000000013d52d508, 0x00000000668ccade }, + /* x^83968 mod p(x)` << 1, x^84032 mod p(x)` << 1 */ + { 0x000000008e4be32e, 0x00000001b192d268 }, + /* x^82944 mod p(x)` << 1, x^83008 mod p(x)` << 1 */ + { 0x00000000024120fe, 0x00000000e30f3a78 }, + /* x^81920 mod p(x)` << 1, x^81984 mod p(x)` << 1 */ + { 0x00000000ddecddb4, 0x000000010ef1f7bc }, + /* x^80896 mod p(x)` << 1, x^80960 mod p(x)` << 1 */ + { 0x00000000d4d403bc, 0x00000001f5ac7380 }, + /* x^79872 mod p(x)` << 1, x^79936 mod p(x)` << 1 */ + { 0x00000001734b89aa, 0x000000011822ea70 }, + /* x^78848 mod p(x)` << 1, x^78912 mod p(x)` << 1 */ + { 0x000000010e7a58d6, 0x00000000c3a33848 }, + /* x^77824 mod p(x)` << 1, x^77888 mod p(x)` << 1 */ + { 0x00000001f9f04e9c, 0x00000001bd151c24 }, + /* x^76800 mod p(x)` << 1, x^76864 mod p(x)` << 1 */ + { 0x00000000b692225e, 0x0000000056002d76 }, + /* x^75776 mod p(x)` << 1, x^75840 mod p(x)` << 1 */ + { 0x000000019b8d3f3e, 0x000000014657c4f4 }, + /* x^74752 mod p(x)` << 1, x^74816 mod p(x)` << 1 */ + { 0x00000001a874f11e, 0x0000000113742d7c }, + /* x^73728 mod p(x)` << 1, x^73792 mod p(x)` << 1 */ + { 0x000000010d5a4254, 0x000000019c5920ba }, + /* x^72704 mod p(x)` << 1, x^72768 mod p(x)` << 1 */ + { 0x00000000bbb2f5d6, 0x000000005216d2d6 }, + /* x^71680 mod p(x)` << 1, x^71744 mod p(x)` << 1 */ + { 0x0000000179cc0e36, 0x0000000136f5ad8a }, + /* x^70656 mod p(x)` << 1, x^70720 mod p(x)` << 1 */ + { 0x00000001dca1da4a, 0x000000018b07beb6 }, + /* x^69632 mod p(x)` << 1, x^69696 mod p(x)` << 1 */ + { 0x00000000feb1a192, 0x00000000db1e93b0 }, + /* x^68608 mod p(x)` << 1, x^68672 mod p(x)` << 1 */ + { 0x00000000d1eeedd6, 0x000000000b96fa3a }, + /* x^67584 mod p(x)` << 1, x^67648 mod p(x)` << 1 */ + { 0x000000008fad9bb4, 0x00000001d9968af0 }, + /* x^66560 mod p(x)` << 1, x^66624 mod p(x)` << 1 */ + { 0x00000001884938e4, 0x000000000e4a77a2 }, + /* x^65536 mod p(x)` << 1, x^65600 mod p(x)` << 1 */ + { 0x00000001bc2e9bc0, 0x00000000508c2ac8 }, + /* x^64512 mod p(x)` << 1, x^64576 mod p(x)` << 1 */ + { 0x00000001f9658a68, 0x0000000021572a80 }, + /* x^63488 mod p(x)` << 1, x^63552 mod p(x)` << 1 */ + { 0x000000001b9224fc, 0x00000001b859daf2 }, + /* x^62464 mod p(x)` << 1, x^62528 mod p(x)` << 1 */ + { 0x0000000055b2fb84, 0x000000016f788474 }, + /* x^61440 mod p(x)` << 1, x^61504 mod p(x)` << 1 */ + { 0x000000018b090348, 0x00000001b438810e }, + /* x^60416 mod p(x)` << 1, x^60480 mod p(x)` << 1 */ + { 0x000000011ccbd5ea, 0x0000000095ddc6f2 }, + /* x^59392 mod p(x)` << 1, x^59456 mod p(x)` << 1 */ + { 0x0000000007ae47f8, 0x00000001d977c20c }, + /* x^58368 mod p(x)` << 1, x^58432 mod p(x)` << 1 */ + { 0x0000000172acbec0, 0x00000000ebedb99a }, + /* x^57344 mod p(x)` << 1, x^57408 mod p(x)` << 1 */ + { 0x00000001c6e3ff20, 0x00000001df9e9e92 }, + /* x^56320 mod p(x)` << 1, x^56384 mod p(x)` << 1 */ + { 0x00000000e1b38744, 0x00000001a4a3f952 }, + /* x^55296 mod p(x)` << 1, x^55360 mod p(x)` << 1 */ + { 0x00000000791585b2, 0x00000000e2f51220 }, + /* x^54272 mod p(x)` << 1, x^54336 mod p(x)` << 1 */ + { 0x00000000ac53b894, 0x000000004aa01f3e }, + /* x^53248 mod p(x)` << 1, x^53312 mod p(x)` << 1 */ + { 0x00000001ed5f2cf4, 0x00000000b3e90a58 }, + /* x^52224 mod p(x)` << 1, x^52288 mod p(x)` << 1 */ + { 0x00000001df48b2e0, 0x000000000c9ca2aa }, + /* x^51200 mod p(x)` << 1, x^51264 mod p(x)` << 1 */ + { 0x00000000049c1c62, 0x0000000151682316 }, + /* x^50176 mod p(x)` << 1, x^50240 mod p(x)` << 1 */ + { 0x000000017c460c12, 0x0000000036fce78c }, + /* x^49152 mod p(x)` << 1, x^49216 mod p(x)` << 1 */ + { 0x000000015be4da7e, 0x000000009037dc10 }, + /* x^48128 mod p(x)` << 1, x^48192 mod p(x)` << 1 */ + { 0x000000010f38f668, 0x00000000d3298582 }, + /* x^47104 mod p(x)` << 1, x^47168 mod p(x)` << 1 */ + { 0x0000000039f40a00, 0x00000001b42e8ad6 }, + /* x^46080 mod p(x)` << 1, x^46144 mod p(x)` << 1 */ + { 0x00000000bd4c10c4, 0x00000000142a9838 }, + /* x^45056 mod p(x)` << 1, x^45120 mod p(x)` << 1 */ + { 0x0000000042db1d98, 0x0000000109c7f190 }, + /* x^44032 mod p(x)` << 1, x^44096 mod p(x)` << 1 */ + { 0x00000001c905bae6, 0x0000000056ff9310 }, + /* x^43008 mod p(x)` << 1, x^43072 mod p(x)` << 1 */ + { 0x00000000069d40ea, 0x00000001594513aa }, + /* x^41984 mod p(x)` << 1, x^42048 mod p(x)` << 1 */ + { 0x000000008e4fbad0, 0x00000001e3b5b1e8 }, + /* x^40960 mod p(x)` << 1, x^41024 mod p(x)` << 1 */ + { 0x0000000047bedd46, 0x000000011dd5fc08 }, + /* x^39936 mod p(x)` << 1, x^40000 mod p(x)` << 1 */ + { 0x0000000026396bf8, 0x00000001675f0cc2 }, + /* x^38912 mod p(x)` << 1, x^38976 mod p(x)` << 1 */ + { 0x00000000379beb92, 0x00000000d1c8dd44 }, + /* x^37888 mod p(x)` << 1, x^37952 mod p(x)` << 1 */ + { 0x000000000abae54a, 0x0000000115ebd3d8 }, + /* x^36864 mod p(x)` << 1, x^36928 mod p(x)` << 1 */ + { 0x0000000007e6a128, 0x00000001ecbd0dac }, + /* x^35840 mod p(x)` << 1, x^35904 mod p(x)` << 1 */ + { 0x000000000ade29d2, 0x00000000cdf67af2 }, + /* x^34816 mod p(x)` << 1, x^34880 mod p(x)` << 1 */ + { 0x00000000f974c45c, 0x000000004c01ff4c }, + /* x^33792 mod p(x)` << 1, x^33856 mod p(x)` << 1 */ + { 0x00000000e77ac60a, 0x00000000f2d8657e }, + /* x^32768 mod p(x)` << 1, x^32832 mod p(x)` << 1 */ + { 0x0000000145895816, 0x000000006bae74c4 }, + /* x^31744 mod p(x)` << 1, x^31808 mod p(x)` << 1 */ + { 0x0000000038e362be, 0x0000000152af8aa0 }, + /* x^30720 mod p(x)` << 1, x^30784 mod p(x)` << 1 */ + { 0x000000007f991a64, 0x0000000004663802 }, + /* x^29696 mod p(x)` << 1, x^29760 mod p(x)` << 1 */ + { 0x00000000fa366d3a, 0x00000001ab2f5afc }, + /* x^28672 mod p(x)` << 1, x^28736 mod p(x)` << 1 */ + { 0x00000001a2bb34f0, 0x0000000074a4ebd4 }, + /* x^27648 mod p(x)` << 1, x^27712 mod p(x)` << 1 */ + { 0x0000000028a9981e, 0x00000001d7ab3a4c }, + /* x^26624 mod p(x)` << 1, x^26688 mod p(x)` << 1 */ + { 0x00000001dbc672be, 0x00000001a8da60c6 }, + /* x^25600 mod p(x)` << 1, x^25664 mod p(x)` << 1 */ + { 0x00000000b04d77f6, 0x000000013cf63820 }, + /* x^24576 mod p(x)` << 1, x^24640 mod p(x)` << 1 */ + { 0x0000000124400d96, 0x00000000bec12e1e }, + /* x^23552 mod p(x)` << 1, x^23616 mod p(x)` << 1 */ + { 0x000000014ca4b414, 0x00000001c6368010 }, + /* x^22528 mod p(x)` << 1, x^22592 mod p(x)` << 1 */ + { 0x000000012fe2c938, 0x00000001e6e78758 }, + /* x^21504 mod p(x)` << 1, x^21568 mod p(x)` << 1 */ + { 0x00000001faed01e6, 0x000000008d7f2b3c }, + /* x^20480 mod p(x)` << 1, x^20544 mod p(x)` << 1 */ + { 0x000000007e80ecfe, 0x000000016b4a156e }, + /* x^19456 mod p(x)` << 1, x^19520 mod p(x)` << 1 */ + { 0x0000000098daee94, 0x00000001c63cfeb6 }, + /* x^18432 mod p(x)` << 1, x^18496 mod p(x)` << 1 */ + { 0x000000010a04edea, 0x000000015f902670 }, + /* x^17408 mod p(x)` << 1, x^17472 mod p(x)` << 1 */ + { 0x00000001c00b4524, 0x00000001cd5de11e }, + /* x^16384 mod p(x)` << 1, x^16448 mod p(x)` << 1 */ + { 0x0000000170296550, 0x000000001acaec54 }, + /* x^15360 mod p(x)` << 1, x^15424 mod p(x)` << 1 */ + { 0x0000000181afaa48, 0x000000002bd0ca78 }, + /* x^14336 mod p(x)` << 1, x^14400 mod p(x)` << 1 */ + { 0x0000000185a31ffa, 0x0000000032d63d5c }, + /* x^13312 mod p(x)` << 1, x^13376 mod p(x)` << 1 */ + { 0x000000002469f608, 0x000000001c6d4e4c }, + /* x^12288 mod p(x)` << 1, x^12352 mod p(x)` << 1 */ + { 0x000000006980102a, 0x0000000106a60b92 }, + /* x^11264 mod p(x)` << 1, x^11328 mod p(x)` << 1 */ + { 0x0000000111ea9ca8, 0x00000000d3855e12 }, + /* x^10240 mod p(x)` << 1, x^10304 mod p(x)` << 1 */ + { 0x00000001bd1d29ce, 0x00000000e3125636 }, + /* x^9216 mod p(x)` << 1, x^9280 mod p(x)` << 1 */ + { 0x00000001b34b9580, 0x000000009e8f7ea4 }, + /* x^8192 mod p(x)` << 1, x^8256 mod p(x)` << 1 */ + { 0x000000003076054e, 0x00000001c82e562c }, + /* x^7168 mod p(x)` << 1, x^7232 mod p(x)` << 1 */ + { 0x000000012a608ea4, 0x00000000ca9f09ce }, + /* x^6144 mod p(x)` << 1, x^6208 mod p(x)` << 1 */ + { 0x00000000784d05fe, 0x00000000c63764e6 }, + /* x^5120 mod p(x)` << 1, x^5184 mod p(x)` << 1 */ + { 0x000000016ef0d82a, 0x0000000168d2e49e }, + /* x^4096 mod p(x)` << 1, x^4160 mod p(x)` << 1 */ + { 0x0000000075bda454, 0x00000000e986c148 }, + /* x^3072 mod p(x)` << 1, x^3136 mod p(x)` << 1 */ + { 0x000000003dc0a1c4, 0x00000000cfb65894 }, + /* x^2048 mod p(x)` << 1, x^2112 mod p(x)` << 1 */ + { 0x00000000e9a5d8be, 0x0000000111cadee4 }, + /* x^1024 mod p(x)` << 1, x^1088 mod p(x)` << 1 */ + { 0x00000001609bc4b4, 0x0000000171fb63ce } +#else /* __LITTLE_ENDIAN__ */ + /* x^261120 mod p(x)` << 1, x^261184 mod p(x)` << 1 */ + { 0x00000000b6ca9e20, 0x000000009c37c408 }, + /* x^260096 mod p(x)` << 1, x^260160 mod p(x)` << 1 */ + { 0x00000000350249a8, 0x00000001b51df26c }, + /* x^259072 mod p(x)` << 1, x^259136 mod p(x)` << 1 */ + { 0x00000001862dac54, 0x000000000724b9d0 }, + /* x^258048 mod p(x)` << 1, x^258112 mod p(x)` << 1 */ + { 0x00000001d87fb48c, 0x00000001c00532fe }, + /* x^257024 mod p(x)` << 1, x^257088 mod p(x)` << 1 */ + { 0x00000001f39b699e, 0x00000000f05a9362 }, + /* x^256000 mod p(x)` << 1, x^256064 mod p(x)` << 1 */ + { 0x0000000101da11b4, 0x00000001e1007970 }, + /* x^254976 mod p(x)` << 1, x^255040 mod p(x)` << 1 */ + { 0x00000001cab571e0, 0x00000000a57366ee }, + /* x^253952 mod p(x)` << 1, x^254016 mod p(x)` << 1 */ + { 0x00000000c7020cfe, 0x0000000192011284 }, + /* x^252928 mod p(x)` << 1, x^252992 mod p(x)` << 1 */ + { 0x00000000cdaed1ae, 0x0000000162716d9a }, + /* x^251904 mod p(x)` << 1, x^251968 mod p(x)` << 1 */ + { 0x00000001e804effc, 0x00000000cd97ecde }, + /* x^250880 mod p(x)` << 1, x^250944 mod p(x)` << 1 */ + { 0x0000000077c3ea3a, 0x0000000058812bc0 }, + /* x^249856 mod p(x)` << 1, x^249920 mod p(x)` << 1 */ + { 0x0000000068df31b4, 0x0000000088b8c12e }, + /* x^248832 mod p(x)` << 1, x^248896 mod p(x)` << 1 */ + { 0x00000000b059b6c2, 0x00000001230b234c }, + /* x^247808 mod p(x)` << 1, x^247872 mod p(x)` << 1 */ + { 0x0000000145fb8ed8, 0x00000001120b416e }, + /* x^246784 mod p(x)` << 1, x^246848 mod p(x)` << 1 */ + { 0x00000000cbc09168, 0x00000001974aecb0 }, + /* x^245760 mod p(x)` << 1, x^245824 mod p(x)` << 1 */ + { 0x000000005ceeedc2, 0x000000008ee3f226 }, + /* x^244736 mod p(x)` << 1, x^244800 mod p(x)` << 1 */ + { 0x0000000047d74e86, 0x00000001089aba9a }, + /* x^243712 mod p(x)` << 1, x^243776 mod p(x)` << 1 */ + { 0x00000001407e9e22, 0x0000000065113872 }, + /* x^242688 mod p(x)` << 1, x^242752 mod p(x)` << 1 */ + { 0x00000001da967bda, 0x000000005c07ec10 }, + /* x^241664 mod p(x)` << 1, x^241728 mod p(x)` << 1 */ + { 0x000000006c898368, 0x0000000187590924 }, + /* x^240640 mod p(x)` << 1, x^240704 mod p(x)` << 1 */ + { 0x00000000f2d14c98, 0x00000000e35da7c6 }, + /* x^239616 mod p(x)` << 1, x^239680 mod p(x)` << 1 */ + { 0x00000001993c6ad4, 0x000000000415855a }, + /* x^238592 mod p(x)` << 1, x^238656 mod p(x)` << 1 */ + { 0x000000014683d1ac, 0x0000000073617758 }, + /* x^237568 mod p(x)` << 1, x^237632 mod p(x)` << 1 */ + { 0x00000001a7c93e6c, 0x0000000176021d28 }, + /* x^236544 mod p(x)` << 1, x^236608 mod p(x)` << 1 */ + { 0x000000010211e90a, 0x00000001c358fd0a }, + /* x^235520 mod p(x)` << 1, x^235584 mod p(x)` << 1 */ + { 0x000000001119403e, 0x00000001ff7a2c18 }, + /* x^234496 mod p(x)` << 1, x^234560 mod p(x)` << 1 */ + { 0x000000001c3261aa, 0x00000000f2d9f7e4 }, + /* x^233472 mod p(x)` << 1, x^233536 mod p(x)` << 1 */ + { 0x000000014e37a634, 0x000000016cf1f9c8 }, + /* x^232448 mod p(x)` << 1, x^232512 mod p(x)` << 1 */ + { 0x0000000073786c0c, 0x000000010af9279a }, + /* x^231424 mod p(x)` << 1, x^231488 mod p(x)` << 1 */ + { 0x000000011dc037f8, 0x0000000004f101e8 }, + /* x^230400 mod p(x)` << 1, x^230464 mod p(x)` << 1 */ + { 0x0000000031433dfc, 0x0000000070bcf184 }, + /* x^229376 mod p(x)` << 1, x^229440 mod p(x)` << 1 */ + { 0x000000009cde8348, 0x000000000a8de642 }, + /* x^228352 mod p(x)` << 1, x^228416 mod p(x)` << 1 */ + { 0x0000000038d3c2a6, 0x0000000062ea130c }, + /* x^227328 mod p(x)` << 1, x^227392 mod p(x)` << 1 */ + { 0x000000011b25f260, 0x00000001eb31cbb2 }, + /* x^226304 mod p(x)` << 1, x^226368 mod p(x)` << 1 */ + { 0x000000001629e6f0, 0x0000000170783448 }, + /* x^225280 mod p(x)` << 1, x^225344 mod p(x)` << 1 */ + { 0x0000000160838b4c, 0x00000001a684b4c6 }, + /* x^224256 mod p(x)` << 1, x^224320 mod p(x)` << 1 */ + { 0x000000007a44011c, 0x00000000253ca5b4 }, + /* x^223232 mod p(x)` << 1, x^223296 mod p(x)` << 1 */ + { 0x00000000226f417a, 0x0000000057b4b1e2 }, + /* x^222208 mod p(x)` << 1, x^222272 mod p(x)` << 1 */ + { 0x0000000045eb2eb4, 0x00000000b6bd084c }, + /* x^221184 mod p(x)` << 1, x^221248 mod p(x)` << 1 */ + { 0x000000014459d70c, 0x0000000123c2d592 }, + /* x^220160 mod p(x)` << 1, x^220224 mod p(x)` << 1 */ + { 0x00000001d406ed82, 0x00000000159dafce }, + /* x^219136 mod p(x)` << 1, x^219200 mod p(x)` << 1 */ + { 0x0000000160c8e1a8, 0x0000000127e1a64e }, + /* x^218112 mod p(x)` << 1, x^218176 mod p(x)` << 1 */ + { 0x0000000027ba8098, 0x0000000056860754 }, + /* x^217088 mod p(x)` << 1, x^217152 mod p(x)` << 1 */ + { 0x000000006d92d018, 0x00000001e661aae8 }, + /* x^216064 mod p(x)` << 1, x^216128 mod p(x)` << 1 */ + { 0x000000012ed7e3f2, 0x00000000f82c6166 }, + /* x^215040 mod p(x)` << 1, x^215104 mod p(x)` << 1 */ + { 0x000000002dc87788, 0x00000000c4f9c7ae }, + /* x^214016 mod p(x)` << 1, x^214080 mod p(x)` << 1 */ + { 0x0000000018240bb8, 0x0000000074203d20 }, + /* x^212992 mod p(x)` << 1, x^213056 mod p(x)` << 1 */ + { 0x000000001ad38158, 0x0000000198173052 }, + /* x^211968 mod p(x)` << 1, x^212032 mod p(x)` << 1 */ + { 0x00000001396b78f2, 0x00000001ce8aba54 }, + /* x^210944 mod p(x)` << 1, x^211008 mod p(x)` << 1 */ + { 0x000000011a681334, 0x00000001850d5d94 }, + /* x^209920 mod p(x)` << 1, x^209984 mod p(x)` << 1 */ + { 0x000000012104732e, 0x00000001d609239c }, + /* x^208896 mod p(x)` << 1, x^208960 mod p(x)` << 1 */ + { 0x00000000a140d90c, 0x000000001595f048 }, + /* x^207872 mod p(x)` << 1, x^207936 mod p(x)` << 1 */ + { 0x00000001b7215eda, 0x0000000042ccee08 }, + /* x^206848 mod p(x)` << 1, x^206912 mod p(x)` << 1 */ + { 0x00000001aaf1df3c, 0x000000010a389d74 }, + /* x^205824 mod p(x)` << 1, x^205888 mod p(x)` << 1 */ + { 0x0000000029d15b8a, 0x000000012a840da6 }, + /* x^204800 mod p(x)` << 1, x^204864 mod p(x)` << 1 */ + { 0x00000000f1a96922, 0x000000001d181c0c }, + /* x^203776 mod p(x)` << 1, x^203840 mod p(x)` << 1 */ + { 0x00000001ac80d03c, 0x0000000068b7d1f6 }, + /* x^202752 mod p(x)` << 1, x^202816 mod p(x)` << 1 */ + { 0x000000000f11d56a, 0x000000005b0f14fc }, + /* x^201728 mod p(x)` << 1, x^201792 mod p(x)` << 1 */ + { 0x00000001f1c022a2, 0x0000000179e9e730 }, + /* x^200704 mod p(x)` << 1, x^200768 mod p(x)` << 1 */ + { 0x0000000173d00ae2, 0x00000001ce1368d6 }, + /* x^199680 mod p(x)` << 1, x^199744 mod p(x)` << 1 */ + { 0x00000001d4ffe4ac, 0x0000000112c3a84c }, + /* x^198656 mod p(x)` << 1, x^198720 mod p(x)` << 1 */ + { 0x000000016edc5ae4, 0x00000000de940fee }, + /* x^197632 mod p(x)` << 1, x^197696 mod p(x)` << 1 */ + { 0x00000001f1a02140, 0x00000000fe896b7e }, + /* x^196608 mod p(x)` << 1, x^196672 mod p(x)` << 1 */ + { 0x00000000ca0b28a0, 0x00000001f797431c }, + /* x^195584 mod p(x)` << 1, x^195648 mod p(x)` << 1 */ + { 0x00000001928e30a2, 0x0000000053e989ba }, + /* x^194560 mod p(x)` << 1, x^194624 mod p(x)` << 1 */ + { 0x0000000097b1b002, 0x000000003920cd16 }, + /* x^193536 mod p(x)` << 1, x^193600 mod p(x)` << 1 */ + { 0x00000000b15bf906, 0x00000001e6f579b8 }, + /* x^192512 mod p(x)` << 1, x^192576 mod p(x)` << 1 */ + { 0x00000000411c5d52, 0x000000007493cb0a }, + /* x^191488 mod p(x)` << 1, x^191552 mod p(x)` << 1 */ + { 0x00000001c36f3300, 0x00000001bdd376d8 }, + /* x^190464 mod p(x)` << 1, x^190528 mod p(x)` << 1 */ + { 0x00000001119227e0, 0x000000016badfee6 }, + /* x^189440 mod p(x)` << 1, x^189504 mod p(x)` << 1 */ + { 0x00000000114d4702, 0x0000000071de5c58 }, + /* x^188416 mod p(x)` << 1, x^188480 mod p(x)` << 1 */ + { 0x00000000458b5b98, 0x00000000453f317c }, + /* x^187392 mod p(x)` << 1, x^187456 mod p(x)` << 1 */ + { 0x000000012e31fb8e, 0x0000000121675cce }, + /* x^186368 mod p(x)` << 1, x^186432 mod p(x)` << 1 */ + { 0x000000005cf619d8, 0x00000001f409ee92 }, + /* x^185344 mod p(x)` << 1, x^185408 mod p(x)` << 1 */ + { 0x0000000063f4d8b2, 0x00000000f36b9c88 }, + /* x^184320 mod p(x)` << 1, x^184384 mod p(x)` << 1 */ + { 0x000000004138dc8a, 0x0000000036b398f4 }, + /* x^183296 mod p(x)` << 1, x^183360 mod p(x)` << 1 */ + { 0x00000001d29ee8e0, 0x00000001748f9adc }, + /* x^182272 mod p(x)` << 1, x^182336 mod p(x)` << 1 */ + { 0x000000006a08ace8, 0x00000001be94ec00 }, + /* x^181248 mod p(x)` << 1, x^181312 mod p(x)` << 1 */ + { 0x0000000127d42010, 0x00000000b74370d6 }, + /* x^180224 mod p(x)` << 1, x^180288 mod p(x)` << 1 */ + { 0x0000000019d76b62, 0x00000001174d0b98 }, + /* x^179200 mod p(x)` << 1, x^179264 mod p(x)` << 1 */ + { 0x00000001b1471f6e, 0x00000000befc06a4 }, + /* x^178176 mod p(x)` << 1, x^178240 mod p(x)` << 1 */ + { 0x00000001f64c19cc, 0x00000001ae125288 }, + /* x^177152 mod p(x)` << 1, x^177216 mod p(x)` << 1 */ + { 0x00000000003c0ea0, 0x0000000095c19b34 }, + /* x^176128 mod p(x)` << 1, x^176192 mod p(x)` << 1 */ + { 0x000000014d73abf6, 0x00000001a78496f2 }, + /* x^175104 mod p(x)` << 1, x^175168 mod p(x)` << 1 */ + { 0x00000001620eb844, 0x00000001ac5390a0 }, + /* x^174080 mod p(x)` << 1, x^174144 mod p(x)` << 1 */ + { 0x0000000147655048, 0x000000002a80ed6e }, + /* x^173056 mod p(x)` << 1, x^173120 mod p(x)` << 1 */ + { 0x0000000067b5077e, 0x00000001fa9b0128 }, + /* x^172032 mod p(x)` << 1, x^172096 mod p(x)` << 1 */ + { 0x0000000010ffe206, 0x00000001ea94929e }, + /* x^171008 mod p(x)` << 1, x^171072 mod p(x)` << 1 */ + { 0x000000000fee8f1e, 0x0000000125f4305c }, + /* x^169984 mod p(x)` << 1, x^170048 mod p(x)` << 1 */ + { 0x00000001da26fbae, 0x00000001471e2002 }, + /* x^168960 mod p(x)` << 1, x^169024 mod p(x)` << 1 */ + { 0x00000001b3a8bd88, 0x0000000132d2253a }, + /* x^167936 mod p(x)` << 1, x^168000 mod p(x)` << 1 */ + { 0x00000000e8f3898e, 0x00000000f26b3592 }, + /* x^166912 mod p(x)` << 1, x^166976 mod p(x)` << 1 */ + { 0x00000000b0d0d28c, 0x00000000bc8b67b0 }, + /* x^165888 mod p(x)` << 1, x^165952 mod p(x)` << 1 */ + { 0x0000000030f2a798, 0x000000013a826ef2 }, + /* x^164864 mod p(x)` << 1, x^164928 mod p(x)` << 1 */ + { 0x000000000fba1002, 0x0000000081482c84 }, + /* x^163840 mod p(x)` << 1, x^163904 mod p(x)` << 1 */ + { 0x00000000bdb9bd72, 0x00000000e77307c2 }, + /* x^162816 mod p(x)` << 1, x^162880 mod p(x)` << 1 */ + { 0x0000000075d3bf5a, 0x00000000d4a07ec8 }, + /* x^161792 mod p(x)` << 1, x^161856 mod p(x)` << 1 */ + { 0x00000000ef1f98a0, 0x0000000017102100 }, + /* x^160768 mod p(x)` << 1, x^160832 mod p(x)` << 1 */ + { 0x00000000689c7602, 0x00000000db406486 }, + /* x^159744 mod p(x)` << 1, x^159808 mod p(x)` << 1 */ + { 0x000000016d5fa5fe, 0x0000000192db7f88 }, + /* x^158720 mod p(x)` << 1, x^158784 mod p(x)` << 1 */ + { 0x00000001d0d2b9ca, 0x000000018bf67b1e }, + /* x^157696 mod p(x)` << 1, x^157760 mod p(x)` << 1 */ + { 0x0000000041e7b470, 0x000000007c09163e }, + /* x^156672 mod p(x)` << 1, x^156736 mod p(x)` << 1 */ + { 0x00000001cbb6495e, 0x000000000adac060 }, + /* x^155648 mod p(x)` << 1, x^155712 mod p(x)` << 1 */ + { 0x000000010052a0b0, 0x00000000bd8316ae }, + /* x^154624 mod p(x)` << 1, x^154688 mod p(x)` << 1 */ + { 0x00000001d8effb5c, 0x000000019f09ab54 }, + /* x^153600 mod p(x)` << 1, x^153664 mod p(x)` << 1 */ + { 0x00000001d969853c, 0x0000000125155542 }, + /* x^152576 mod p(x)` << 1, x^152640 mod p(x)` << 1 */ + { 0x00000000523ccce2, 0x000000018fdb5882 }, + /* x^151552 mod p(x)` << 1, x^151616 mod p(x)` << 1 */ + { 0x000000001e2436bc, 0x00000000e794b3f4 }, + /* x^150528 mod p(x)` << 1, x^150592 mod p(x)` << 1 */ + { 0x00000000ddd1c3a2, 0x000000016f9bb022 }, + /* x^149504 mod p(x)` << 1, x^149568 mod p(x)` << 1 */ + { 0x0000000019fcfe38, 0x00000000290c9978 }, + /* x^148480 mod p(x)` << 1, x^148544 mod p(x)` << 1 */ + { 0x00000001ce95db64, 0x0000000083c0f350 }, + /* x^147456 mod p(x)` << 1, x^147520 mod p(x)` << 1 */ + { 0x00000000af582806, 0x0000000173ea6628 }, + /* x^146432 mod p(x)` << 1, x^146496 mod p(x)` << 1 */ + { 0x00000001006388f6, 0x00000001c8b4e00a }, + /* x^145408 mod p(x)` << 1, x^145472 mod p(x)` << 1 */ + { 0x0000000179eca00a, 0x00000000de95d6aa }, + /* x^144384 mod p(x)` << 1, x^144448 mod p(x)` << 1 */ + { 0x0000000122410a6a, 0x000000010b7f7248 }, + /* x^143360 mod p(x)` << 1, x^143424 mod p(x)` << 1 */ + { 0x000000004288e87c, 0x00000001326e3a06 }, + /* x^142336 mod p(x)` << 1, x^142400 mod p(x)` << 1 */ + { 0x000000016c5490da, 0x00000000bb62c2e6 }, + /* x^141312 mod p(x)` << 1, x^141376 mod p(x)` << 1 */ + { 0x00000000d1c71f6e, 0x0000000156a4b2c2 }, + /* x^140288 mod p(x)` << 1, x^140352 mod p(x)` << 1 */ + { 0x00000001b4ce08a6, 0x000000011dfe763a }, + /* x^139264 mod p(x)` << 1, x^139328 mod p(x)` << 1 */ + { 0x00000001466ba60c, 0x000000007bcca8e2 }, + /* x^138240 mod p(x)` << 1, x^138304 mod p(x)` << 1 */ + { 0x00000001f6c488a4, 0x0000000186118faa }, + /* x^137216 mod p(x)` << 1, x^137280 mod p(x)` << 1 */ + { 0x000000013bfb0682, 0x0000000111a65a88 }, + /* x^136192 mod p(x)` << 1, x^136256 mod p(x)` << 1 */ + { 0x00000000690e9e54, 0x000000003565e1c4 }, + /* x^135168 mod p(x)` << 1, x^135232 mod p(x)` << 1 */ + { 0x00000000281346b6, 0x000000012ed02a82 }, + /* x^134144 mod p(x)` << 1, x^134208 mod p(x)` << 1 */ + { 0x0000000156464024, 0x00000000c486ecfc }, + /* x^133120 mod p(x)` << 1, x^133184 mod p(x)` << 1 */ + { 0x000000016063a8dc, 0x0000000001b951b2 }, + /* x^132096 mod p(x)` << 1, x^132160 mod p(x)` << 1 */ + { 0x0000000116a66362, 0x0000000048143916 }, + /* x^131072 mod p(x)` << 1, x^131136 mod p(x)` << 1 */ + { 0x000000017e8aa4d2, 0x00000001dc2ae124 }, + /* x^130048 mod p(x)` << 1, x^130112 mod p(x)` << 1 */ + { 0x00000001728eb10c, 0x00000001416c58d6 }, + /* x^129024 mod p(x)` << 1, x^129088 mod p(x)` << 1 */ + { 0x00000001b08fd7fa, 0x00000000a479744a }, + /* x^128000 mod p(x)` << 1, x^128064 mod p(x)` << 1 */ + { 0x00000001092a16e8, 0x0000000096ca3a26 }, + /* x^126976 mod p(x)` << 1, x^127040 mod p(x)` << 1 */ + { 0x00000000a505637c, 0x00000000ff223d4e }, + /* x^125952 mod p(x)` << 1, x^126016 mod p(x)` << 1 */ + { 0x00000000d94869b2, 0x000000010e84da42 }, + /* x^124928 mod p(x)` << 1, x^124992 mod p(x)` << 1 */ + { 0x00000001c8b203ae, 0x00000001b61ba3d0 }, + /* x^123904 mod p(x)` << 1, x^123968 mod p(x)` << 1 */ + { 0x000000005704aea0, 0x00000000680f2de8 }, + /* x^122880 mod p(x)` << 1, x^122944 mod p(x)` << 1 */ + { 0x000000012e295fa2, 0x000000008772a9a8 }, + /* x^121856 mod p(x)` << 1, x^121920 mod p(x)` << 1 */ + { 0x000000011d0908bc, 0x0000000155f295bc }, + /* x^120832 mod p(x)` << 1, x^120896 mod p(x)` << 1 */ + { 0x0000000193ed97ea, 0x00000000595f9282 }, + /* x^119808 mod p(x)` << 1, x^119872 mod p(x)` << 1 */ + { 0x000000013a0f1c52, 0x0000000164b1c25a }, + /* x^118784 mod p(x)` << 1, x^118848 mod p(x)` << 1 */ + { 0x000000010c2c40c0, 0x00000000fbd67c50 }, + /* x^117760 mod p(x)` << 1, x^117824 mod p(x)` << 1 */ + { 0x00000000ff6fac3e, 0x0000000096076268 }, + /* x^116736 mod p(x)` << 1, x^116800 mod p(x)` << 1 */ + { 0x000000017b3609c0, 0x00000001d288e4cc }, + /* x^115712 mod p(x)` << 1, x^115776 mod p(x)` << 1 */ + { 0x0000000088c8c922, 0x00000001eaac1bdc }, + /* x^114688 mod p(x)` << 1, x^114752 mod p(x)` << 1 */ + { 0x00000001751baae6, 0x00000001f1ea39e2 }, + /* x^113664 mod p(x)` << 1, x^113728 mod p(x)` << 1 */ + { 0x0000000107952972, 0x00000001eb6506fc }, + /* x^112640 mod p(x)` << 1, x^112704 mod p(x)` << 1 */ + { 0x0000000162b00abe, 0x000000010f806ffe }, + /* x^111616 mod p(x)` << 1, x^111680 mod p(x)` << 1 */ + { 0x000000000d7b404c, 0x000000010408481e }, + /* x^110592 mod p(x)` << 1, x^110656 mod p(x)` << 1 */ + { 0x00000000763b13d4, 0x0000000188260534 }, + /* x^109568 mod p(x)` << 1, x^109632 mod p(x)` << 1 */ + { 0x00000000f6dc22d8, 0x0000000058fc73e0 }, + /* x^108544 mod p(x)` << 1, x^108608 mod p(x)` << 1 */ + { 0x000000007daae060, 0x00000000391c59b8 }, + /* x^107520 mod p(x)` << 1, x^107584 mod p(x)` << 1 */ + { 0x000000013359ab7c, 0x000000018b638400 }, + /* x^106496 mod p(x)` << 1, x^106560 mod p(x)` << 1 */ + { 0x000000008add438a, 0x000000011738f5c4 }, + /* x^105472 mod p(x)` << 1, x^105536 mod p(x)` << 1 */ + { 0x00000001edbefdea, 0x000000008cf7c6da }, + /* x^104448 mod p(x)` << 1, x^104512 mod p(x)` << 1 */ + { 0x000000004104e0f8, 0x00000001ef97fb16 }, + /* x^103424 mod p(x)` << 1, x^103488 mod p(x)` << 1 */ + { 0x00000000b48a8222, 0x0000000102130e20 }, + /* x^102400 mod p(x)` << 1, x^102464 mod p(x)` << 1 */ + { 0x00000001bcb46844, 0x00000000db968898 }, + /* x^101376 mod p(x)` << 1, x^101440 mod p(x)` << 1 */ + { 0x000000013293ce0a, 0x00000000b5047b5e }, + /* x^100352 mod p(x)` << 1, x^100416 mod p(x)` << 1 */ + { 0x00000001710d0844, 0x000000010b90fdb2 }, + /* x^99328 mod p(x)` << 1, x^99392 mod p(x)` << 1 */ + { 0x0000000117907f6e, 0x000000004834a32e }, + /* x^98304 mod p(x)` << 1, x^98368 mod p(x)` << 1 */ + { 0x0000000087ddf93e, 0x0000000059c8f2b0 }, + /* x^97280 mod p(x)` << 1, x^97344 mod p(x)` << 1 */ + { 0x000000005970e9b0, 0x0000000122cec508 }, + /* x^96256 mod p(x)` << 1, x^96320 mod p(x)` << 1 */ + { 0x0000000185b2b7d0, 0x000000000a330cda }, + /* x^95232 mod p(x)` << 1, x^95296 mod p(x)` << 1 */ + { 0x00000001dcee0efc, 0x000000014a47148c }, + /* x^94208 mod p(x)` << 1, x^94272 mod p(x)` << 1 */ + { 0x0000000030da2722, 0x0000000042c61cb8 }, + /* x^93184 mod p(x)` << 1, x^93248 mod p(x)` << 1 */ + { 0x000000012f925a18, 0x0000000012fe6960 }, + /* x^92160 mod p(x)` << 1, x^92224 mod p(x)` << 1 */ + { 0x00000000dd2e357c, 0x00000000dbda2c20 }, + /* x^91136 mod p(x)` << 1, x^91200 mod p(x)` << 1 */ + { 0x00000000071c80de, 0x000000011122410c }, + /* x^90112 mod p(x)` << 1, x^90176 mod p(x)` << 1 */ + { 0x000000011513140a, 0x00000000977b2070 }, + /* x^89088 mod p(x)` << 1, x^89152 mod p(x)` << 1 */ + { 0x00000001df876e8e, 0x000000014050438e }, + /* x^88064 mod p(x)` << 1, x^88128 mod p(x)` << 1 */ + { 0x000000015f81d6ce, 0x0000000147c840e8 }, + /* x^87040 mod p(x)` << 1, x^87104 mod p(x)` << 1 */ + { 0x000000019dd94dbe, 0x00000001cc7c88ce }, + /* x^86016 mod p(x)` << 1, x^86080 mod p(x)` << 1 */ + { 0x00000001373d206e, 0x00000001476b35a4 }, + /* x^84992 mod p(x)` << 1, x^85056 mod p(x)` << 1 */ + { 0x00000000668ccade, 0x000000013d52d508 }, + /* x^83968 mod p(x)` << 1, x^84032 mod p(x)` << 1 */ + { 0x00000001b192d268, 0x000000008e4be32e }, + /* x^82944 mod p(x)` << 1, x^83008 mod p(x)` << 1 */ + { 0x00000000e30f3a78, 0x00000000024120fe }, + /* x^81920 mod p(x)` << 1, x^81984 mod p(x)` << 1 */ + { 0x000000010ef1f7bc, 0x00000000ddecddb4 }, + /* x^80896 mod p(x)` << 1, x^80960 mod p(x)` << 1 */ + { 0x00000001f5ac7380, 0x00000000d4d403bc }, + /* x^79872 mod p(x)` << 1, x^79936 mod p(x)` << 1 */ + { 0x000000011822ea70, 0x00000001734b89aa }, + /* x^78848 mod p(x)` << 1, x^78912 mod p(x)` << 1 */ + { 0x00000000c3a33848, 0x000000010e7a58d6 }, + /* x^77824 mod p(x)` << 1, x^77888 mod p(x)` << 1 */ + { 0x00000001bd151c24, 0x00000001f9f04e9c }, + /* x^76800 mod p(x)` << 1, x^76864 mod p(x)` << 1 */ + { 0x0000000056002d76, 0x00000000b692225e }, + /* x^75776 mod p(x)` << 1, x^75840 mod p(x)` << 1 */ + { 0x000000014657c4f4, 0x000000019b8d3f3e }, + /* x^74752 mod p(x)` << 1, x^74816 mod p(x)` << 1 */ + { 0x0000000113742d7c, 0x00000001a874f11e }, + /* x^73728 mod p(x)` << 1, x^73792 mod p(x)` << 1 */ + { 0x000000019c5920ba, 0x000000010d5a4254 }, + /* x^72704 mod p(x)` << 1, x^72768 mod p(x)` << 1 */ + { 0x000000005216d2d6, 0x00000000bbb2f5d6 }, + /* x^71680 mod p(x)` << 1, x^71744 mod p(x)` << 1 */ + { 0x0000000136f5ad8a, 0x0000000179cc0e36 }, + /* x^70656 mod p(x)` << 1, x^70720 mod p(x)` << 1 */ + { 0x000000018b07beb6, 0x00000001dca1da4a }, + /* x^69632 mod p(x)` << 1, x^69696 mod p(x)` << 1 */ + { 0x00000000db1e93b0, 0x00000000feb1a192 }, + /* x^68608 mod p(x)` << 1, x^68672 mod p(x)` << 1 */ + { 0x000000000b96fa3a, 0x00000000d1eeedd6 }, + /* x^67584 mod p(x)` << 1, x^67648 mod p(x)` << 1 */ + { 0x00000001d9968af0, 0x000000008fad9bb4 }, + /* x^66560 mod p(x)` << 1, x^66624 mod p(x)` << 1 */ + { 0x000000000e4a77a2, 0x00000001884938e4 }, + /* x^65536 mod p(x)` << 1, x^65600 mod p(x)` << 1 */ + { 0x00000000508c2ac8, 0x00000001bc2e9bc0 }, + /* x^64512 mod p(x)` << 1, x^64576 mod p(x)` << 1 */ + { 0x0000000021572a80, 0x00000001f9658a68 }, + /* x^63488 mod p(x)` << 1, x^63552 mod p(x)` << 1 */ + { 0x00000001b859daf2, 0x000000001b9224fc }, + /* x^62464 mod p(x)` << 1, x^62528 mod p(x)` << 1 */ + { 0x000000016f788474, 0x0000000055b2fb84 }, + /* x^61440 mod p(x)` << 1, x^61504 mod p(x)` << 1 */ + { 0x00000001b438810e, 0x000000018b090348 }, + /* x^60416 mod p(x)` << 1, x^60480 mod p(x)` << 1 */ + { 0x0000000095ddc6f2, 0x000000011ccbd5ea }, + /* x^59392 mod p(x)` << 1, x^59456 mod p(x)` << 1 */ + { 0x00000001d977c20c, 0x0000000007ae47f8 }, + /* x^58368 mod p(x)` << 1, x^58432 mod p(x)` << 1 */ + { 0x00000000ebedb99a, 0x0000000172acbec0 }, + /* x^57344 mod p(x)` << 1, x^57408 mod p(x)` << 1 */ + { 0x00000001df9e9e92, 0x00000001c6e3ff20 }, + /* x^56320 mod p(x)` << 1, x^56384 mod p(x)` << 1 */ + { 0x00000001a4a3f952, 0x00000000e1b38744 }, + /* x^55296 mod p(x)` << 1, x^55360 mod p(x)` << 1 */ + { 0x00000000e2f51220, 0x00000000791585b2 }, + /* x^54272 mod p(x)` << 1, x^54336 mod p(x)` << 1 */ + { 0x000000004aa01f3e, 0x00000000ac53b894 }, + /* x^53248 mod p(x)` << 1, x^53312 mod p(x)` << 1 */ + { 0x00000000b3e90a58, 0x00000001ed5f2cf4 }, + /* x^52224 mod p(x)` << 1, x^52288 mod p(x)` << 1 */ + { 0x000000000c9ca2aa, 0x00000001df48b2e0 }, + /* x^51200 mod p(x)` << 1, x^51264 mod p(x)` << 1 */ + { 0x0000000151682316, 0x00000000049c1c62 }, + /* x^50176 mod p(x)` << 1, x^50240 mod p(x)` << 1 */ + { 0x0000000036fce78c, 0x000000017c460c12 }, + /* x^49152 mod p(x)` << 1, x^49216 mod p(x)` << 1 */ + { 0x000000009037dc10, 0x000000015be4da7e }, + /* x^48128 mod p(x)` << 1, x^48192 mod p(x)` << 1 */ + { 0x00000000d3298582, 0x000000010f38f668 }, + /* x^47104 mod p(x)` << 1, x^47168 mod p(x)` << 1 */ + { 0x00000001b42e8ad6, 0x0000000039f40a00 }, + /* x^46080 mod p(x)` << 1, x^46144 mod p(x)` << 1 */ + { 0x00000000142a9838, 0x00000000bd4c10c4 }, + /* x^45056 mod p(x)` << 1, x^45120 mod p(x)` << 1 */ + { 0x0000000109c7f190, 0x0000000042db1d98 }, + /* x^44032 mod p(x)` << 1, x^44096 mod p(x)` << 1 */ + { 0x0000000056ff9310, 0x00000001c905bae6 }, + /* x^43008 mod p(x)` << 1, x^43072 mod p(x)` << 1 */ + { 0x00000001594513aa, 0x00000000069d40ea }, + /* x^41984 mod p(x)` << 1, x^42048 mod p(x)` << 1 */ + { 0x00000001e3b5b1e8, 0x000000008e4fbad0 }, + /* x^40960 mod p(x)` << 1, x^41024 mod p(x)` << 1 */ + { 0x000000011dd5fc08, 0x0000000047bedd46 }, + /* x^39936 mod p(x)` << 1, x^40000 mod p(x)` << 1 */ + { 0x00000001675f0cc2, 0x0000000026396bf8 }, + /* x^38912 mod p(x)` << 1, x^38976 mod p(x)` << 1 */ + { 0x00000000d1c8dd44, 0x00000000379beb92 }, + /* x^37888 mod p(x)` << 1, x^37952 mod p(x)` << 1 */ + { 0x0000000115ebd3d8, 0x000000000abae54a }, + /* x^36864 mod p(x)` << 1, x^36928 mod p(x)` << 1 */ + { 0x00000001ecbd0dac, 0x0000000007e6a128 }, + /* x^35840 mod p(x)` << 1, x^35904 mod p(x)` << 1 */ + { 0x00000000cdf67af2, 0x000000000ade29d2 }, + /* x^34816 mod p(x)` << 1, x^34880 mod p(x)` << 1 */ + { 0x000000004c01ff4c, 0x00000000f974c45c }, + /* x^33792 mod p(x)` << 1, x^33856 mod p(x)` << 1 */ + { 0x00000000f2d8657e, 0x00000000e77ac60a }, + /* x^32768 mod p(x)` << 1, x^32832 mod p(x)` << 1 */ + { 0x000000006bae74c4, 0x0000000145895816 }, + /* x^31744 mod p(x)` << 1, x^31808 mod p(x)` << 1 */ + { 0x0000000152af8aa0, 0x0000000038e362be }, + /* x^30720 mod p(x)` << 1, x^30784 mod p(x)` << 1 */ + { 0x0000000004663802, 0x000000007f991a64 }, + /* x^29696 mod p(x)` << 1, x^29760 mod p(x)` << 1 */ + { 0x00000001ab2f5afc, 0x00000000fa366d3a }, + /* x^28672 mod p(x)` << 1, x^28736 mod p(x)` << 1 */ + { 0x0000000074a4ebd4, 0x00000001a2bb34f0 }, + /* x^27648 mod p(x)` << 1, x^27712 mod p(x)` << 1 */ + { 0x00000001d7ab3a4c, 0x0000000028a9981e }, + /* x^26624 mod p(x)` << 1, x^26688 mod p(x)` << 1 */ + { 0x00000001a8da60c6, 0x00000001dbc672be }, + /* x^25600 mod p(x)` << 1, x^25664 mod p(x)` << 1 */ + { 0x000000013cf63820, 0x00000000b04d77f6 }, + /* x^24576 mod p(x)` << 1, x^24640 mod p(x)` << 1 */ + { 0x00000000bec12e1e, 0x0000000124400d96 }, + /* x^23552 mod p(x)` << 1, x^23616 mod p(x)` << 1 */ + { 0x00000001c6368010, 0x000000014ca4b414 }, + /* x^22528 mod p(x)` << 1, x^22592 mod p(x)` << 1 */ + { 0x00000001e6e78758, 0x000000012fe2c938 }, + /* x^21504 mod p(x)` << 1, x^21568 mod p(x)` << 1 */ + { 0x000000008d7f2b3c, 0x00000001faed01e6 }, + /* x^20480 mod p(x)` << 1, x^20544 mod p(x)` << 1 */ + { 0x000000016b4a156e, 0x000000007e80ecfe }, + /* x^19456 mod p(x)` << 1, x^19520 mod p(x)` << 1 */ + { 0x00000001c63cfeb6, 0x0000000098daee94 }, + /* x^18432 mod p(x)` << 1, x^18496 mod p(x)` << 1 */ + { 0x000000015f902670, 0x000000010a04edea }, + /* x^17408 mod p(x)` << 1, x^17472 mod p(x)` << 1 */ + { 0x00000001cd5de11e, 0x00000001c00b4524 }, + /* x^16384 mod p(x)` << 1, x^16448 mod p(x)` << 1 */ + { 0x000000001acaec54, 0x0000000170296550 }, + /* x^15360 mod p(x)` << 1, x^15424 mod p(x)` << 1 */ + { 0x000000002bd0ca78, 0x0000000181afaa48 }, + /* x^14336 mod p(x)` << 1, x^14400 mod p(x)` << 1 */ + { 0x0000000032d63d5c, 0x0000000185a31ffa }, + /* x^13312 mod p(x)` << 1, x^13376 mod p(x)` << 1 */ + { 0x000000001c6d4e4c, 0x000000002469f608 }, + /* x^12288 mod p(x)` << 1, x^12352 mod p(x)` << 1 */ + { 0x0000000106a60b92, 0x000000006980102a }, + /* x^11264 mod p(x)` << 1, x^11328 mod p(x)` << 1 */ + { 0x00000000d3855e12, 0x0000000111ea9ca8 }, + /* x^10240 mod p(x)` << 1, x^10304 mod p(x)` << 1 */ + { 0x00000000e3125636, 0x00000001bd1d29ce }, + /* x^9216 mod p(x)` << 1, x^9280 mod p(x)` << 1 */ + { 0x000000009e8f7ea4, 0x00000001b34b9580 }, + /* x^8192 mod p(x)` << 1, x^8256 mod p(x)` << 1 */ + { 0x00000001c82e562c, 0x000000003076054e }, + /* x^7168 mod p(x)` << 1, x^7232 mod p(x)` << 1 */ + { 0x00000000ca9f09ce, 0x000000012a608ea4 }, + /* x^6144 mod p(x)` << 1, x^6208 mod p(x)` << 1 */ + { 0x00000000c63764e6, 0x00000000784d05fe }, + /* x^5120 mod p(x)` << 1, x^5184 mod p(x)` << 1 */ + { 0x0000000168d2e49e, 0x000000016ef0d82a }, + /* x^4096 mod p(x)` << 1, x^4160 mod p(x)` << 1 */ + { 0x00000000e986c148, 0x0000000075bda454 }, + /* x^3072 mod p(x)` << 1, x^3136 mod p(x)` << 1 */ + { 0x00000000cfb65894, 0x000000003dc0a1c4 }, + /* x^2048 mod p(x)` << 1, x^2112 mod p(x)` << 1 */ + { 0x0000000111cadee4, 0x00000000e9a5d8be }, + /* x^1024 mod p(x)` << 1, x^1088 mod p(x)` << 1 */ + { 0x0000000171fb63ce, 0x00000001609bc4b4 } +#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) */ + { 0x5cf015c388e56f72, 0x7fec2963e5bf8048 }, + /* x^1824 mod p(x) , x^1856 mod p(x) , x^1888 mod p(x) , x^1920 mod p(x) */ + { 0x963a18920246e2e6, 0x38e888d4844752a9 }, + /* x^1696 mod p(x) , x^1728 mod p(x) , x^1760 mod p(x) , x^1792 mod p(x) */ + { 0x419a441956993a31, 0x42316c00730206ad }, + /* x^1568 mod p(x) , x^1600 mod p(x) , x^1632 mod p(x) , x^1664 mod p(x) */ + { 0x924752ba2b830011, 0x543d5c543e65ddf9 }, + /* x^1440 mod p(x) , x^1472 mod p(x) , x^1504 mod p(x) , x^1536 mod p(x) */ + { 0x55bd7f9518e4a304, 0x78e87aaf56767c92 }, + /* x^1312 mod p(x) , x^1344 mod p(x) , x^1376 mod p(x) , x^1408 mod p(x) */ + { 0x6d76739fe0553f1e, 0x8f68fcec1903da7f }, + /* x^1184 mod p(x) , x^1216 mod p(x) , x^1248 mod p(x) , x^1280 mod p(x) */ + { 0xc133722b1fe0b5c3, 0x3f4840246791d588 }, + /* x^1056 mod p(x) , x^1088 mod p(x) , x^1120 mod p(x) , x^1152 mod p(x) */ + { 0x64b67ee0e55ef1f3, 0x34c96751b04de25a }, + /* x^928 mod p(x) , x^960 mod p(x) , x^992 mod p(x) , x^1024 mod p(x) */ + { 0x069db049b8fdb1e7, 0x156c8e180b4a395b }, + /* x^800 mod p(x) , x^832 mod p(x) , x^864 mod p(x) , x^896 mod p(x) */ + { 0xa11bfaf3c9e90b9e, 0xe0b99ccbe661f7be }, + /* x^672 mod p(x) , x^704 mod p(x) , x^736 mod p(x) , x^768 mod p(x) */ + { 0x817cdc5119b29a35, 0x041d37768cd75659 }, + /* x^544 mod p(x) , x^576 mod p(x) , x^608 mod p(x) , x^640 mod p(x) */ + { 0x1ce9d94b36c41f1c, 0x3a0777818cfaa965 }, + /* x^416 mod p(x) , x^448 mod p(x) , x^480 mod p(x) , x^512 mod p(x) */ + { 0x4f256efcb82be955, 0x0e148e8252377a55 }, + /* x^288 mod p(x) , x^320 mod p(x) , x^352 mod p(x) , x^384 mod p(x) */ + { 0xec1631edb2dea967, 0x9c25531d19e65dde }, + /* x^160 mod p(x) , x^192 mod p(x) , x^224 mod p(x) , x^256 mod p(x) */ + { 0x5d27e147510ac59a, 0x790606ff9957c0a6 }, + /* x^32 mod p(x) , x^64 mod p(x) , x^96 mod p(x) , x^128 mod p(x) */ + { 0xa66805eb18b8ea18, 0x82f63b786ea2d55c } +#else /* __LITTLE_ENDIAN__ */ + /* x^1952 mod p(x) , x^1984 mod p(x) , x^2016 mod p(x) , x^2048 mod p(x) */ + { 0x7fec2963e5bf8048, 0x5cf015c388e56f72 }, + /* x^1824 mod p(x) , x^1856 mod p(x) , x^1888 mod p(x) , x^1920 mod p(x) */ + { 0x38e888d4844752a9, 0x963a18920246e2e6 }, + /* x^1696 mod p(x) , x^1728 mod p(x) , x^1760 mod p(x) , x^1792 mod p(x) */ + { 0x42316c00730206ad, 0x419a441956993a31 }, + /* x^1568 mod p(x) , x^1600 mod p(x) , x^1632 mod p(x) , x^1664 mod p(x) */ + { 0x543d5c543e65ddf9, 0x924752ba2b830011 }, + /* x^1440 mod p(x) , x^1472 mod p(x) , x^1504 mod p(x) , x^1536 mod p(x) */ + { 0x78e87aaf56767c92, 0x55bd7f9518e4a304 }, + /* x^1312 mod p(x) , x^1344 mod p(x) , x^1376 mod p(x) , x^1408 mod p(x) */ + { 0x8f68fcec1903da7f, 0x6d76739fe0553f1e }, + /* x^1184 mod p(x) , x^1216 mod p(x) , x^1248 mod p(x) , x^1280 mod p(x) */ + { 0x3f4840246791d588, 0xc133722b1fe0b5c3 }, + /* x^1056 mod p(x) , x^1088 mod p(x) , x^1120 mod p(x) , x^1152 mod p(x) */ + { 0x34c96751b04de25a, 0x64b67ee0e55ef1f3 }, + /* x^928 mod p(x) , x^960 mod p(x) , x^992 mod p(x) , x^1024 mod p(x) */ + { 0x156c8e180b4a395b, 0x069db049b8fdb1e7 }, + /* x^800 mod p(x) , x^832 mod p(x) , x^864 mod p(x) , x^896 mod p(x) */ + { 0xe0b99ccbe661f7be, 0xa11bfaf3c9e90b9e }, + /* x^672 mod p(x) , x^704 mod p(x) , x^736 mod p(x) , x^768 mod p(x) */ + { 0x041d37768cd75659, 0x817cdc5119b29a35 }, + /* x^544 mod p(x) , x^576 mod p(x) , x^608 mod p(x) , x^640 mod p(x) */ + { 0x3a0777818cfaa965, 0x1ce9d94b36c41f1c }, + /* x^416 mod p(x) , x^448 mod p(x) , x^480 mod p(x) , x^512 mod p(x) */ + { 0x0e148e8252377a55, 0x4f256efcb82be955 }, + /* x^288 mod p(x) , x^320 mod p(x) , x^352 mod p(x) , x^384 mod p(x) */ + { 0x9c25531d19e65dde, 0xec1631edb2dea967 }, + /* x^160 mod p(x) , x^192 mod p(x) , x^224 mod p(x) , x^256 mod p(x) */ + { 0x790606ff9957c0a6, 0x5d27e147510ac59a }, + /* x^32 mod p(x) , x^64 mod p(x) , x^96 mod p(x) , x^128 mod p(x) */ + { 0x82f63b786ea2d55c, 0xa66805eb18b8ea18 } +#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__ + { 0x00000000dea713f1, 0x0000000000000000 }, + { 0x0000000105ec76f1, 0x0000000000000000 } +#else /* __LITTLE_ENDIAN__ */ + { 0x0000000000000000, 0x00000000dea713f1 }, + { 0x0000000000000000, 0x0000000105ec76f1 } +#endif /* __LITTLE_ENDIAN__ */ + }; +#endif /* POWER8_INTRINSICS */ + +#endif /* __ASSEMBLER__ */ diff --git a/mysys/crc32ieee.cc b/mysys/crc32ieee.cc new file mode 100644 index 00000000..14e8017d --- /dev/null +++ b/mysys/crc32ieee.cc @@ -0,0 +1,61 @@ +/* Copyright (c) 2020, 2022, MariaDB + + This program is free software; you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation; version 2 of the License. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program; if not, write to the Free Software + Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1335 USA */ + + +#include <my_global.h> +#include <my_sys.h> +#include <zlib.h> + +/* TODO: remove this once zlib adds inherent support for hardware accelerated +crc32 for all architectures. */ +static unsigned int my_crc32_zlib(unsigned int crc, const void *data, + size_t len) +{ + return (unsigned int) crc32(crc, (const Bytef *)data, (unsigned int) len); +} + +#ifdef HAVE_PCLMUL +extern "C" int crc32_pclmul_enabled(); +extern "C" unsigned int crc32_pclmul(unsigned int, const void *, size_t); +#elif defined(__GNUC__) && defined(HAVE_ARMV8_CRC) +extern "C" int crc32_aarch64_available(); +extern "C" unsigned int crc32_aarch64(unsigned int, const void *, size_t); +#endif + + +typedef unsigned int (*my_crc32_t)(unsigned int, const void *, size_t); + +static my_crc32_t init_crc32() +{ +#ifdef HAVE_PCLMUL + if (crc32_pclmul_enabled()) + return crc32_pclmul; +#elif defined(__GNUC__) && defined(HAVE_ARMV8_CRC) + if (crc32_aarch64_available()) + return crc32_aarch64; +#endif + return my_crc32_zlib; +} + +static const my_crc32_t my_checksum_func= init_crc32(); + +#ifdef __powerpc64__ +# error "my_checksum() is defined in mysys/crc32/crc32_ppc64.c" +#endif +extern "C" +uint32 my_checksum(uint32 crc, const void *data, size_t len) +{ + return my_checksum_func(crc, data, len); +} |