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Updated CRC32 Power Optimization Changes

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Summary:
Support for PowerPC Architecture
Detecting AltiVec Support
Closes https://github.com/facebook/rocksdb/pull/2716

Differential Revision: D5606836

Pulled By: siying

fbshipit-source-id: 720262453b1546e5fdbbc668eff56848164113f3
main
Kamalalochana Subbaiah 7 years ago committed by Facebook Github Bot
parent 8fa4d108a2
commit e612e31740
12 changed files with 1990 additions and 23 deletions
Show all changes Ignore whitespace when comparing lines Ignore changes in amount of whitespace Ignore changes in whitespace at EOL
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  1. 98
      Makefile
  2. 4
      db/db_impl.cc
  3. 3
      db/db_test_util.cc
  4. 10
      src.mk
  5. 80
      util/crc32c.cc
  6. 3
      util/crc32c.h
  7. 95
      util/crc32c_ppc.c
  8. 23
      util/crc32c_ppc.h
  9. 753
      util/crc32c_ppc_asm.S
  10. 893
      util/crc32c_ppc_constants.h
  11. 31
      util/ppc-opcode.h

98
Makefile
Unescape View File

@ -96,6 +96,18 @@ OPT += -momit-leaf-frame-pointer
endif endif
endif endif
ifeq (,$(shell $(CXX) -fsyntax-only -maltivec -xc /dev/null 2>&1))
CXXFLAGS += -DHAS_ALTIVEC
CFLAGS += -DHAS_ALTIVEC
HAS_ALTIVEC=1
endif
ifeq (,$(shell $(CXX) -fsyntax-only -mcpu=power8 -xc /dev/null 2>&1))
CXXFLAGS += -DHAVE_POWER8
CFLAGS += -DHAVE_POWER8
HAVE_POWER8=1
endif
# if we're compiling for release, compile without debug code (-DNDEBUG) and # if we're compiling for release, compile without debug code (-DNDEBUG) and
# don't treat warnings as errors # don't treat warnings as errors
ifeq ($(DEBUG_LEVEL),0) ifeq ($(DEBUG_LEVEL),0)
@ -322,6 +334,12 @@ util/build_version.cc: FORCE
endif endif
LIBOBJECTS = $(LIB_SOURCES:.cc=.o) LIBOBJECTS = $(LIB_SOURCES:.cc=.o)
ifeq ($(HAVE_POWER8),1)
LIB_CC_OBJECTS = $(LIB_SOURCES:.cc=.o)
LIBOBJECTS += $(LIB_SOURCES_C:.c=.o)
LIBOBJECTS += $(LIB_SOURCES_ASM:.S=.o)
endif
LIBOBJECTS += $(TOOL_LIB_SOURCES:.cc=.o) LIBOBJECTS += $(TOOL_LIB_SOURCES:.cc=.o)
MOCKOBJECTS = $(MOCK_LIB_SOURCES:.cc=.o) MOCKOBJECTS = $(MOCK_LIB_SOURCES:.cc=.o)
@ -573,14 +591,35 @@ $(SHARED2): $(SHARED4)
$(SHARED3): $(SHARED4) $(SHARED3): $(SHARED4)
ln -fs $(SHARED4) $(SHARED3) ln -fs $(SHARED4) $(SHARED3)
endif endif
ifeq ($(HAVE_POWER8),1)
SHARED_C_OBJECTS = $(LIB_SOURCES_C:.c=.o)
SHARED_ASM_OBJECTS = $(LIB_SOURCES_ASM:.S=.o)
SHARED_C_LIBOBJECTS = $(patsubst %.o,shared-objects/%.o,$(SHARED_C_OBJECTS))
SHARED_ASM_LIBOBJECTS = $(patsubst %.o,shared-objects/%.o,$(SHARED_ASM_OBJECTS))
shared_libobjects = $(patsubst %,shared-objects/%,$(LIB_CC_OBJECTS))
else
shared_libobjects = $(patsubst %,shared-objects/%,$(LIBOBJECTS)) shared_libobjects = $(patsubst %,shared-objects/%,$(LIBOBJECTS))
endif
CLEAN_FILES += shared-objects CLEAN_FILES += shared-objects
shared_all_libobjects = $(shared_libobjects)
ifeq ($(HAVE_POWER8),1)
shared-ppc-objects = $(SHARED_C_LIBOBJECTS) $(SHARED_ASM_LIBOBJECTS)
shared-objects/util/crc32c_ppc.o: util/crc32c_ppc.c
$(AM_V_CC)$(CC) $(CFLAGS) -c $< -o $@
shared-objects/util/crc32c_ppc_asm.o: util/crc32c_ppc_asm.S
$(AM_V_CC)$(CC) $(CFLAGS) -c $< -o $@
endif
$(shared_libobjects): shared-objects/%.o: %.cc $(shared_libobjects): shared-objects/%.o: %.cc
$(AM_V_CC)mkdir -p $(@D) && $(CXX) $(CXXFLAGS) $(PLATFORM_SHARED_CFLAGS) -c $< -o $@ $(AM_V_CC)mkdir -p $(@D) && $(CXX) $(CXXFLAGS) $(PLATFORM_SHARED_CFLAGS) -c $< -o $@
$(SHARED4): $(shared_libobjects) ifeq ($(HAVE_POWER8),1)
shared_all_libobjects = $(shared_libobjects) $(shared-ppc-objects)
endif
$(SHARED4): $(shared_all_libobjects)
$(CXX) $(PLATFORM_SHARED_LDFLAGS)$(SHARED3) $(CXXFLAGS) $(PLATFORM_SHARED_CFLAGS) $(shared_libobjects) $(LDFLAGS) -o $@ $(CXX) $(PLATFORM_SHARED_LDFLAGS)$(SHARED3) $(CXXFLAGS) $(PLATFORM_SHARED_CFLAGS) $(shared_libobjects) $(LDFLAGS) -o $@
endif # PLATFORM_SHARED_EXT endif # PLATFORM_SHARED_EXT
@ -1665,13 +1704,36 @@ rocksdbjavastaticpublishcentral:
mvn gpg:sign-and-deploy-file -Durl=https://oss.sonatype.org/service/local/staging/deploy/maven2/ -DrepositoryId=sonatype-nexus-staging -DpomFile=java/rocksjni.pom -Dfile=java/target/rocksdbjni-$(ROCKSDB_MAJOR).$(ROCKSDB_MINOR).$(ROCKSDB_PATCH).jar mvn gpg:sign-and-deploy-file -Durl=https://oss.sonatype.org/service/local/staging/deploy/maven2/ -DrepositoryId=sonatype-nexus-staging -DpomFile=java/rocksjni.pom -Dfile=java/target/rocksdbjni-$(ROCKSDB_MAJOR).$(ROCKSDB_MINOR).$(ROCKSDB_PATCH).jar
# A version of each $(LIBOBJECTS) compiled with -fPIC # A version of each $(LIBOBJECTS) compiled with -fPIC
ifeq ($(HAVE_POWER8),1)
JAVA_CC_OBJECTS = $(SHARED_CC_OBJECTS)
JAVA_C_OBJECTS = $(SHARED_C_OBJECTS)
JAVA_ASM_OBJECTS = $(SHARED_ASM_OBJECTS)
JAVA_C_LIBOBJECTS = $(patsubst %.c.o,jl/%.c.o,$(JAVA_C_OBJECTS))
JAVA_ASM_LIBOBJECTS = $(patsubst %.S.o,jl/%.S.o,$(JAVA_ASM_OBJECTS))
endif
java_libobjects = $(patsubst %,jl/%,$(LIBOBJECTS)) java_libobjects = $(patsubst %,jl/%,$(LIBOBJECTS))
CLEAN_FILES += jl CLEAN_FILES += jl
java_all_libobjects = $(java_libobjects)
ifeq ($(HAVE_POWER8),1)
java_ppc_libobjects = $(JAVA_C_LIBOBJECTS) $(JAVA_ASM_LIBOBJECTS)
jl/crc32c_ppc.o: util/crc32c_ppc.c
$(AM_V_CC)$(CC) $(CFLAGS) -c $< -o $@
jl/crc32c_ppc_asm.o: util/crc32c_ppc_asm.S
$(AM_V_CC)$(CC) $(CFLAGS) -c $< -o $@
java_all_libobjects += $(java_ppc_libobjects)
endif
$(java_libobjects): jl/%.o: %.cc $(java_libobjects): jl/%.o: %.cc
$(AM_V_CC)mkdir -p $(@D) && $(CXX) $(CXXFLAGS) -fPIC -c $< -o $@ $(COVERAGEFLAGS) $(AM_V_CC)mkdir -p $(@D) && $(CXX) $(CXXFLAGS) -fPIC -c $< -o $@ $(COVERAGEFLAGS)
rocksdbjava: $(java_libobjects)
rocksdbjava: $(java_all_libobjects)
$(AM_V_GEN)cd java;$(MAKE) javalib; $(AM_V_GEN)cd java;$(MAKE) javalib;
$(AM_V_at)rm -f ./java/target/$(ROCKSDBJNILIB) $(AM_V_at)rm -f ./java/target/$(ROCKSDBJNILIB)
$(AM_V_at)$(CXX) $(CXXFLAGS) -I./java/. $(JAVA_INCLUDE) -shared -fPIC -o ./java/target/$(ROCKSDBJNILIB) $(JNI_NATIVE_SOURCES) $(java_libobjects) $(JAVA_LDFLAGS) $(COVERAGEFLAGS) $(AM_V_at)$(CXX) $(CXXFLAGS) -I./java/. $(JAVA_INCLUDE) -shared -fPIC -o ./java/target/$(ROCKSDBJNILIB) $(JNI_NATIVE_SOURCES) $(java_libobjects) $(JAVA_LDFLAGS) $(COVERAGEFLAGS)
@ -1726,30 +1788,54 @@ IOSVERSION=$(shell defaults read $(PLATFORMSROOT)/iPhoneOS.platform/version CFBu
lipo ios-x86/$@ ios-arm/$@ -create -output $@ lipo ios-x86/$@ ios-arm/$@ -create -output $@
else else
ifeq ($(HAVE_POWER8),1)
util/crc32c_ppc.o: util/crc32c_ppc.c
$(AM_V_CC)$(CC) $(CFLAGS) -c $< -o $@
util/crc32c_ppc_asm.o: util/crc32c_ppc_asm.S
$(AM_V_CC)$(CC) $(CFLAGS) -c $< -o $@
endif
.cc.o: .cc.o:
$(AM_V_CC)$(CXX) $(CXXFLAGS) -c $< -o $@ $(COVERAGEFLAGS) $(AM_V_CC)$(CXX) $(CXXFLAGS) -c $< -o $@ $(COVERAGEFLAGS)
.c.o: .c.o:
$(AM_V_CC)$(CC) $(CFLAGS) -c $< -o $@ $(AM_V_CC)$(CC) $(CFLAGS) -c $< -o $@
endif endif
# --------------------------------------------------------------------------- # ---------------------------------------------------------------------------
# Source files dependencies detection # Source files dependencies detection
# --------------------------------------------------------------------------- # ---------------------------------------------------------------------------
all_sources = $(LIB_SOURCES) $(MAIN_SOURCES) $(MOCK_LIB_SOURCES) $(TOOL_LIB_SOURCES) $(BENCH_LIB_SOURCES) $(TEST_LIB_SOURCES) $(EXP_LIB_SOURCES) all_sources = $(LIB_SOURCES) $(MAIN_SOURCES) $(MOCK_LIB_SOURCES) $(TOOL_LIB_SOURCES) $(BENCH_LIB_SOURCES) $(TEST_LIB_SOURCES) $(EXP_LIB_SOURCES)
DEPFILES = $(all_sources:.cc=.d) DEPFILES = $(all_sources:.cc=.cc.d)
# Add proper dependency support so changing a .h file forces a .cc file to # Add proper dependency support so changing a .h file forces a .cc file to
# rebuild. # rebuild.
# The .d file indicates .cc file's dependencies on .h files. We generate such # The .d file indicates .cc file's dependencies on .h files. We generate such
# dependency by g++'s -MM option, whose output is a make dependency rule. # dependency by g++'s -MM option, whose output is a make dependency rule.
$(DEPFILES): %.d: %.cc %.cc.d: %.cc
@$(CXX) $(CXXFLAGS) $(PLATFORM_SHARED_CFLAGS) \ @$(CXX) $(CXXFLAGS) $(PLATFORM_SHARED_CFLAGS) \
-MM -MT'$@' -MT'$(<:.cc=.o)' "$<" -o '$@' -MM -MT'$@' -MT'$(<:.cc=.o)' "$<" -o '$@'
ifeq ($(HAVE_POWER8),1)
DEPFILES_C = $(LIB_SOURCES_C:.c=.c.d)
DEPFILES_ASM = $(LIB_SOURCES_ASM:.S=.S.d)
%.c.d: %.c
@$(CXX) $(CXXFLAGS) $(PLATFORM_SHARED_CFLAGS) \
-MM -MT'$@' -MT'$(<:.c=.o)' "$<" -o '$@'
%.S.d: %.S
@$(CXX) $(CXXFLAGS) $(PLATFORM_SHARED_CFLAGS) \
-MM -MT'$@' -MT'$(<:.S=.o)' "$<" -o '$@'
$(DEPFILES_C): %.c.d
$(DEPFILES_ASM): %.S.d
depend: $(DEPFILES) $(DEPFILES_C) $(DEPFILES_ASM)
else
depend: $(DEPFILES) depend: $(DEPFILES)
endif
# if the make goal is either "clean" or "format", we shouldn't # if the make goal is either "clean" or "format", we shouldn't
# try to import the *.d files. # try to import the *.d files.

4
db/db_impl.cc
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@ -133,8 +133,8 @@ void DumpSupportInfo(Logger* logger) {
ROCKS_LOG_HEADER(logger, "\tZSTDNotFinal supported: %d", ROCKS_LOG_HEADER(logger, "\tZSTDNotFinal supported: %d",
ZSTDNotFinal_Supported()); ZSTDNotFinal_Supported());
ROCKS_LOG_HEADER(logger, "\tZSTD supported: %d", ZSTD_Supported()); ROCKS_LOG_HEADER(logger, "\tZSTD supported: %d", ZSTD_Supported());
ROCKS_LOG_HEADER(logger, "Fast CRC32 supported: %d", ROCKS_LOG_HEADER(logger, "Fast CRC32 supported: %s",
crc32c::IsFastCrc32Supported()); crc32c::IsFastCrc32Supported().c_str());
} }
int64_t kDefaultLowPriThrottledRate = 2 * 1024 * 1024; int64_t kDefaultLowPriThrottledRate = 2 * 1024 * 1024;

3
db/db_test_util.cc
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@ -292,8 +292,7 @@ Options DBTestBase::GetOptions(
!defined(OS_AIX) !defined(OS_AIX)
rocksdb::SyncPoint::GetInstance()->ClearCallBack( rocksdb::SyncPoint::GetInstance()->ClearCallBack(
"NewRandomAccessFile:O_DIRECT"); "NewRandomAccessFile:O_DIRECT");
rocksdb::SyncPoint::GetInstance()->ClearCallBack( rocksdb::SyncPoint::GetInstance()->ClearCallBack("NewWritableFile:O_DIRECT");
"NewWritableFile:O_DIRECT");
#endif #endif
bool can_allow_mmap = IsMemoryMappedAccessSupported(); bool can_allow_mmap = IsMemoryMappedAccessSupported();

10
src.mk
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@ -205,6 +205,16 @@ LIB_SOURCES = \
utilities/write_batch_with_index/write_batch_with_index.cc \ utilities/write_batch_with_index/write_batch_with_index.cc \
utilities/write_batch_with_index/write_batch_with_index_internal.cc \ utilities/write_batch_with_index/write_batch_with_index_internal.cc \
ifeq (,$(shell $(CXX) -fsyntax-only -maltivec -xc /dev/null 2>&1))
LIB_SOURCES_ASM =\
util/crc32c_ppc_asm.S
LIB_SOURCES_C = \
util/crc32c_ppc.c
else
LIB_SOURCES_ASM =
LIB_SOURCES_C =
endif
TOOL_LIB_SOURCES = \ TOOL_LIB_SOURCES = \
tools/ldb_cmd.cc \ tools/ldb_cmd.cc \
tools/ldb_tool.cc \ tools/ldb_tool.cc \

80
util/crc32c.cc
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@ -18,9 +18,32 @@
#endif #endif
#include "util/coding.h" #include "util/coding.h"
#ifdef __powerpc64__
#include "util/crc32c_ppc.h"
#include "util/crc32c_ppc_constants.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 rocksdb { namespace rocksdb {
namespace crc32c { namespace crc32c {
#ifdef __powerpc64__
static int arch_ppc_crc32 = 0;
#endif
static const uint32_t table0_[256] = { static const uint32_t table0_[256] = {
0x00000000, 0xf26b8303, 0xe13b70f7, 0x1350f3f4, 0x00000000, 0xf26b8303, 0xe13b70f7, 0x1350f3f4,
0xc79a971f, 0x35f1141c, 0x26a1e7e8, 0xd4ca64eb, 0xc79a971f, 0x35f1141c, 0x26a1e7e8, 0xd4ca64eb,
@ -371,6 +394,7 @@ uint32_t ExtendImpl(uint32_t crc, const char* buf, size_t size) {
} }
// Detect if SS42 or not. // Detect if SS42 or not.
#ifndef HAVE_POWER8
static bool isSSE42() { static bool isSSE42() {
#ifndef HAVE_SSE42 #ifndef HAVE_SSE42
return false; return false;
@ -387,15 +411,67 @@ static bool isSSE42() {
return false; return false;
#endif #endif
} }
#endif
typedef uint32_t (*Function)(uint32_t, const char*, size_t); 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;
}
#endif // __linux__
static bool isAltiVec() {
if (arch_ppc_probe()) {
return true;
} else {
return false;
}
}
#endif
static inline Function Choose_Extend() { static inline Function Choose_Extend() {
#ifndef HAVE_POWER8
return isSSE42() ? ExtendImpl<Fast_CRC32> : ExtendImpl<Slow_CRC32>; return isSSE42() ? ExtendImpl<Fast_CRC32> : ExtendImpl<Slow_CRC32>;
#else
return isAltiVec() ? ExtendPPCImpl : ExtendImpl<Slow_CRC32>;
#endif
} }
bool IsFastCrc32Supported() { std::string IsFastCrc32Supported() {
return isSSE42(); bool has_fast_crc = false;
std::string fast_zero_msg;
std::string arch;
#ifdef HAVE_POWER8
#ifdef HAS_ALTIVEC
if (arch_ppc_probe()) {
has_fast_crc = true;
arch = "PPC";
}
#else
has_fast_crc = false;
arch = "PPC";
#endif
#else
has_fast_crc = isSSE42();
arch = "x86";
#endif
if (has_fast_crc){
fast_zero_msg.append("Supported on " + arch);
}
fast_zero_msg.append("Not supported on " + arch);
return fast_zero_msg;
} }
Function ChosenExtend = Choose_Extend(); Function ChosenExtend = Choose_Extend();

3
util/crc32c.h
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@ -10,11 +10,12 @@
#pragma once #pragma once
#include <stddef.h> #include <stddef.h>
#include <stdint.h> #include <stdint.h>
#include <string>
namespace rocksdb { namespace rocksdb {
namespace crc32c { namespace crc32c {
extern bool IsFastCrc32Supported(); extern std::string IsFastCrc32Supported();
// Return the crc32c of concat(A, data[0,n-1]) where init_crc is the // Return the crc32c of concat(A, data[0,n-1]) where init_crc is the
// crc32c of some string A. Extend() is often used to maintain the // crc32c of some string A. Extend() is often used to maintain the

95
util/crc32c_ppc.c
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@ -0,0 +1,95 @@
// Copyright (c) 2017 International Business Machines Corp.
// All rights reserved.
// This source code is licensed under the BSD-style license found in the
// LICENSE file in the root directory of this source tree. An additional grant
// of patent rights can be found in the PATENTS file in the same directory.
// This source code is also licensed under the GPLv2 license found in the
// COPYING file in the root directory of this source tree.
#define CRC_TABLE
#include <inttypes.h>
#include <stdlib.h>
#include <strings.h>
#include "util/crc32c_ppc_constants.h"
#define VMX_ALIGN 16
#define VMX_ALIGN_MASK (VMX_ALIGN - 1)
#ifdef REFLECT
static unsigned int crc32_align(unsigned int crc, unsigned char const *p,
unsigned long len) {
while (len--) crc = crc_table[(crc ^ *p++) & 0xff] ^ (crc >> 8);
return crc;
}
#endif
#ifdef HAVE_POWER8
unsigned int __crc32_vpmsum(unsigned int crc, unsigned char const *p,
unsigned long len);
static uint32_t crc32_vpmsum(uint32_t crc, unsigned char const *data,
unsigned len) {
unsigned int prealign;
unsigned int tail;
#ifdef CRC_XOR
crc ^= 0xffffffff;
#endif
if (len < VMX_ALIGN + VMX_ALIGN_MASK) {
crc = crc32_align(crc, data, (unsigned long)len);
goto out;
}
if ((unsigned long)data & VMX_ALIGN_MASK) {
prealign = VMX_ALIGN - ((unsigned long)data & VMX_ALIGN_MASK);
crc = crc32_align(crc, data, prealign);
len -= prealign;
data += prealign;
}
crc = __crc32_vpmsum(crc, data, (unsigned long)len & ~VMX_ALIGN_MASK);
tail = len & VMX_ALIGN_MASK;
if (tail) {
data += len & ~VMX_ALIGN_MASK;
crc = crc32_align(crc, data, tail);
}
out:
#ifdef CRC_XOR
crc ^= 0xffffffff;
#endif
return crc;
}
/* This wrapper function works around the fact that crc32_vpmsum
* does not gracefully handle the case where the data pointer is NULL. There
* may be room for performance improvement here.
*/
uint32_t crc32c_ppc(uint32_t crc, unsigned char const *data, unsigned len) {
unsigned char *buf2;
if (!data) {
buf2 = (unsigned char *)malloc(len);
bzero(buf2, len);
crc = crc32_vpmsum(crc, buf2, len);
free(buf2);
} else {
crc = crc32_vpmsum(crc, data, (unsigned long)len);
}
return crc;
}
#else /* HAVE_POWER8 */
/* This symbol has to exist on non-ppc architectures (and on legacy
* ppc systems using power7 or below) in order to compile properly
* there, even though it won't be called.
*/
uint32_t crc32c_ppc(uint32_t crc, unsigned char const *data, unsigned len) {
return 0;
}
#endif /* HAVE_POWER8 */

23
util/crc32c_ppc.h
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@ -0,0 +1,23 @@
// Copyright (c) 2017 International Business Machines Corp.
// All rights reserved.
// This source code is licensed under the BSD-style license found in the
// LICENSE file in the root directory of this source tree. An additional grant
// of patent rights can be found in the PATENTS file in the same directory.
// This source code is also licensed under the GPLv2 license found in the
// COPYING file in the root directory of this source tree.
#ifndef CRC32C_PPC_H
#define CRC32C_PPC_H
#ifdef __cplusplus
extern "C" {
#endif
extern uint32_t crc32c_ppc(uint32_t crc, unsigned char const *buffer,
unsigned len);
#ifdef __cplusplus
}
#endif
#endif

753
util/crc32c_ppc_asm.S
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@ -0,0 +1,753 @@
// Copyright (c) 2015 Anton Blanchard <anton@au.ibm.com>, IBM
// Copyright (c) 2017 International Business Machines Corp.
// All rights reserved.
// This source code is licensed under the BSD-style license found in the
// LICENSE file in the root directory of this source tree. An additional grant
// of patent rights can be found in the PATENTS file in the same directory.
// This source code is also licensed under the GPLv2 license found in the
// COPYING file in the root directory of this source tree.
#include <ppc-asm.h>
#include "ppc-opcode.h"
#undef toc
#ifndef r1
#define r1 1
#endif
#ifndef r2
#define r2 2
#endif
.section .rodata
.balign 16
.byteswap_constant:
/* byte reverse permute constant */
.octa 0x0F0E0D0C0B0A09080706050403020100
#define __ASSEMBLY__
#include "crc32c_ppc_constants.h"
.text
#if defined(__BIG_ENDIAN__) && defined(REFLECT)
#define BYTESWAP_DATA
#elif defined(__LITTLE_ENDIAN__) && !defined(REFLECT)
#define BYTESWAP_DATA
#else
#undef BYTESWAP_DATA
#endif
#define off16 r25
#define off32 r26
#define off48 r27
#define off64 r28
#define off80 r29
#define off96 r30
#define off112 r31
#define const1 v24
#define const2 v25
#define byteswap v26
#define mask_32bit v27
#define mask_64bit v28
#define zeroes v29
#ifdef BYTESWAP_DATA
#define VPERM(A, B, C, D) vperm A, B, C, D
#else
#define VPERM(A, B, C, D)
#endif
/* unsigned int __crc32_vpmsum(unsigned int crc, void *p, unsigned long len) */
FUNC_START(__crc32_vpmsum)
std r31,-8(r1)
std r30,-16(r1)
std r29,-24(r1)
std r28,-32(r1)
std r27,-40(r1)
std r26,-48(r1)
std r25,-56(r1)
li off16,16
li off32,32
li off48,48
li off64,64
li off80,80
li off96,96
li off112,112
li r0,0
/* Enough room for saving 10 non volatile VMX registers */
subi r6,r1,56+10*16
subi r7,r1,56+2*16
stvx v20,0,r6
stvx v21,off16,r6
stvx v22,off32,r6
stvx v23,off48,r6
stvx v24,off64,r6
stvx v25,off80,r6
stvx v26,off96,r6
stvx v27,off112,r6
stvx v28,0,r7
stvx v29,off16,r7
mr r10,r3
vxor zeroes,zeroes,zeroes
vspltisw v0,-1
vsldoi mask_32bit,zeroes,v0,4
vsldoi mask_64bit,zeroes,v0,8
/* Get the initial value into v8 */
vxor v8,v8,v8
MTVRD(v8, r3)
#ifdef REFLECT
vsldoi v8,zeroes,v8,8 /* shift into bottom 32 bits */
#else
vsldoi v8,v8,zeroes,4 /* shift into top 32 bits */
#endif
#ifdef BYTESWAP_DATA
addis r3,r2,.byteswap_constant@toc@ha
addi r3,r3,.byteswap_constant@toc@l
lvx byteswap,0,r3
addi r3,r3,16
#endif
cmpdi r5,256
blt .Lshort
rldicr r6,r5,0,56
/* Checksum in blocks of MAX_SIZE */
1: lis r7,MAX_SIZE@h
ori r7,r7,MAX_SIZE@l
mr r9,r7
cmpd r6,r7
bgt 2f
mr r7,r6
2: subf r6,r7,r6
/* our main loop does 128 bytes at a time */
srdi r7,r7,7
/*
* 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
*/
sldi r8,r7,4
srdi r9,r9,3
subf r8,r8,r9
/* We reduce our final 128 bytes in a separate step */
addi r7,r7,-1
mtctr r7
addis r3,r2,.constants@toc@ha
addi r3,r3,.constants@toc@l
/* Find the start of our constants */
add r3,r3,r8
/* zero v0-v7 which will contain our checksums */
vxor v0,v0,v0
vxor v1,v1,v1
vxor v2,v2,v2
vxor v3,v3,v3
vxor v4,v4,v4
vxor v5,v5,v5
vxor v6,v6,v6
vxor v7,v7,v7
lvx const1,0,r3
/*
* If we are looping back to consume more data we use the values
* already in v16-v23.
*/
cmpdi r0,1
beq 2f
/* First warm up pass */
lvx v16,0,r4
lvx v17,off16,r4
VPERM(v16,v16,v16,byteswap)
VPERM(v17,v17,v17,byteswap)
lvx v18,off32,r4
lvx v19,off48,r4
VPERM(v18,v18,v18,byteswap)
VPERM(v19,v19,v19,byteswap)
lvx v20,off64,r4
lvx v21,off80,r4
VPERM(v20,v20,v20,byteswap)
VPERM(v21,v21,v21,byteswap)
lvx v22,off96,r4
lvx v23,off112,r4
VPERM(v22,v22,v22,byteswap)
VPERM(v23,v23,v23,byteswap)
addi r4,r4,8*16
/* xor in initial value */
vxor v16,v16,v8
2: bdz .Lfirst_warm_up_done
addi r3,r3,16
lvx const2,0,r3
/* Second warm up pass */
VPMSUMD(v8,v16,const1)
lvx v16,0,r4
VPERM(v16,v16,v16,byteswap)
ori r2,r2,0
VPMSUMD(v9,v17,const1)
lvx v17,off16,r4
VPERM(v17,v17,v17,byteswap)
ori r2,r2,0
VPMSUMD(v10,v18,const1)
lvx v18,off32,r4
VPERM(v18,v18,v18,byteswap)
ori r2,r2,0
VPMSUMD(v11,v19,const1)
lvx v19,off48,r4
VPERM(v19,v19,v19,byteswap)
ori r2,r2,0
VPMSUMD(v12,v20,const1)
lvx v20,off64,r4
VPERM(v20,v20,v20,byteswap)
ori r2,r2,0
VPMSUMD(v13,v21,const1)
lvx v21,off80,r4
VPERM(v21,v21,v21,byteswap)
ori r2,r2,0
VPMSUMD(v14,v22,const1)
lvx v22,off96,r4
VPERM(v22,v22,v22,byteswap)
ori r2,r2,0
VPMSUMD(v15,v23,const1)
lvx v23,off112,r4
VPERM(v23,v23,v23,byteswap)
addi r4,r4,8*16
bdz .Lfirst_cool_down
/*
* main loop. We modulo schedule it such that it takes three iterations
* to complete - first iteration load, second iteration vpmsum, third
* iteration xor.
*/
.balign 16
4: lvx const1,0,r3
addi r3,r3,16
ori r2,r2,0
vxor v0,v0,v8
VPMSUMD(v8,v16,const2)
lvx v16,0,r4
VPERM(v16,v16,v16,byteswap)
ori r2,r2,0
vxor v1,v1,v9
VPMSUMD(v9,v17,const2)
lvx v17,off16,r4
VPERM(v17,v17,v17,byteswap)
ori r2,r2,0
vxor v2,v2,v10
VPMSUMD(v10,v18,const2)
lvx v18,off32,r4
VPERM(v18,v18,v18,byteswap)
ori r2,r2,0
vxor v3,v3,v11
VPMSUMD(v11,v19,const2)
lvx v19,off48,r4
VPERM(v19,v19,v19,byteswap)
lvx const2,0,r3
ori r2,r2,0
vxor v4,v4,v12
VPMSUMD(v12,v20,const1)
lvx v20,off64,r4
VPERM(v20,v20,v20,byteswap)
ori r2,r2,0
vxor v5,v5,v13
VPMSUMD(v13,v21,const1)
lvx v21,off80,r4
VPERM(v21,v21,v21,byteswap)
ori r2,r2,0
vxor v6,v6,v14
VPMSUMD(v14,v22,const1)
lvx v22,off96,r4
VPERM(v22,v22,v22,byteswap)
ori r2,r2,0
vxor v7,v7,v15
VPMSUMD(v15,v23,const1)
lvx v23,off112,r4
VPERM(v23,v23,v23,byteswap)
addi r4,r4,8*16
bdnz 4b
.Lfirst_cool_down:
/* First cool down pass */
lvx const1,0,r3
addi r3,r3,16
vxor v0,v0,v8
VPMSUMD(v8,v16,const1)
ori r2,r2,0
vxor v1,v1,v9
VPMSUMD(v9,v17,const1)
ori r2,r2,0
vxor v2,v2,v10
VPMSUMD(v10,v18,const1)
ori r2,r2,0
vxor v3,v3,v11
VPMSUMD(v11,v19,const1)
ori r2,r2,0
vxor v4,v4,v12
VPMSUMD(v12,v20,const1)
ori r2,r2,0
vxor v5,v5,v13
VPMSUMD(v13,v21,const1)
ori r2,r2,0
vxor v6,v6,v14
VPMSUMD(v14,v22,const1)
ori r2,r2,0
vxor v7,v7,v15
VPMSUMD(v15,v23,const1)
ori r2,r2,0
.Lsecond_cool_down:
/* Second cool down pass */
vxor v0,v0,v8
vxor v1,v1,v9
vxor v2,v2,v10
vxor v3,v3,v11
vxor v4,v4,v12
vxor v5,v5,v13
vxor v6,v6,v14
vxor v7,v7,v15
#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.
*/
vsldoi v0,v0,zeroes,4
vsldoi v1,v1,zeroes,4
vsldoi v2,v2,zeroes,4
vsldoi v3,v3,zeroes,4
vsldoi v4,v4,zeroes,4
vsldoi v5,v5,zeroes,4
vsldoi v6,v6,zeroes,4
vsldoi v7,v7,zeroes,4
#endif
/* xor with last 1024 bits */
lvx v8,0,r4
lvx v9,off16,r4
VPERM(v8,v8,v8,byteswap)
VPERM(v9,v9,v9,byteswap)
lvx v10,off32,r4
lvx v11,off48,r4
VPERM(v10,v10,v10,byteswap)
VPERM(v11,v11,v11,byteswap)
lvx v12,off64,r4
lvx v13,off80,r4
VPERM(v12,v12,v12,byteswap)
VPERM(v13,v13,v13,byteswap)
lvx v14,off96,r4
lvx v15,off112,r4
VPERM(v14,v14,v14,byteswap)
VPERM(v15,v15,v15,byteswap)
addi r4,r4,8*16
vxor v16,v0,v8
vxor v17,v1,v9
vxor v18,v2,v10
vxor v19,v3,v11
vxor v20,v4,v12
vxor v21,v5,v13
vxor v22,v6,v14
vxor v23,v7,v15
li r0,1
cmpdi r6,0
addi r6,r6,128
bne 1b
/* Work out how many bytes we have left */
andi. r5,r5,127
/* Calculate where in the constant table we need to start */
subfic r6,r5,128
add r3,r3,r6
/* How many 16 byte chunks are in the tail */
srdi r7,r5,4
mtctr r7
/*
* Reduce the previously calculated 1024 bits to 64 bits, shifting
* 32 bits to include the trailing 32 bits of zeros
*/
lvx v0,0,r3
lvx v1,off16,r3
lvx v2,off32,r3
lvx v3,off48,r3
lvx v4,off64,r3
lvx v5,off80,r3
lvx v6,off96,r3
lvx v7,off112,r3
addi r3,r3,8*16
VPMSUMW(v0,v16,v0)
VPMSUMW(v1,v17,v1)
VPMSUMW(v2,v18,v2)
VPMSUMW(v3,v19,v3)
VPMSUMW(v4,v20,v4)
VPMSUMW(v5,v21,v5)
VPMSUMW(v6,v22,v6)
VPMSUMW(v7,v23,v7)
/* Now reduce the tail (0 - 112 bytes) */
cmpdi r7,0
beq 1f
lvx v16,0,r4
lvx v17,0,r3
VPERM(v16,v16,v16,byteswap)
VPMSUMW(v16,v16,v17)
vxor v0,v0,v16
bdz 1f
lvx v16,off16,r4
lvx v17,off16,r3
VPERM(v16,v16,v16,byteswap)
VPMSUMW(v16,v16,v17)
vxor v0,v0,v16
bdz 1f
lvx v16,off32,r4
lvx v17,off32,r3
VPERM(v16,v16,v16,byteswap)
VPMSUMW(v16,v16,v17)
vxor v0,v0,v16
bdz 1f
lvx v16,off48,r4
lvx v17,off48,r3
VPERM(v16,v16,v16,byteswap)
VPMSUMW(v16,v16,v17)
vxor v0,v0,v16
bdz 1f
lvx v16,off64,r4
lvx v17,off64,r3
VPERM(v16,v16,v16,byteswap)
VPMSUMW(v16,v16,v17)
vxor v0,v0,v16
bdz 1f
lvx v16,off80,r4
lvx v17,off80,r3
VPERM(v16,v16,v16,byteswap)
VPMSUMW(v16,v16,v17)
vxor v0,v0,v16
bdz 1f
lvx v16,off96,r4
lvx v17,off96,r3
VPERM(v16,v16,v16,byteswap)
VPMSUMW(v16,v16,v17)
vxor v0,v0,v16
/* Now xor all the parallel chunks together */
1: vxor v0,v0,v1
vxor v2,v2,v3
vxor v4,v4,v5
vxor v6,v6,v7
vxor v0,v0,v2
vxor v4,v4,v6
vxor v0,v0,v4
.Lbarrett_reduction:
/* Barrett constants */
addis r3,r2,.barrett_constants@toc@ha
addi r3,r3,.barrett_constants@toc@l
lvx const1,0,r3
lvx const2,off16,r3
vsldoi v1,v0,v0,8
vxor v0,v0,v1 /* xor two 64 bit results together */
#ifdef REFLECT
/* shift left one bit */
vspltisb v1,1
vsl v0,v0,v1
#endif
vand v0,v0,mask_64bit
#ifndef REFLECT
/*
* Now for the Barrett reduction 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.
*/
VPMSUMD(v1,v0,const1) /* ma */
vsldoi v1,zeroes,v1,8 /* q = floor(ma/(2^64)) */
VPMSUMD(v1,v1,const2) /* qn */
vxor v0,v0,v1 /* a - qn, subtraction is xor in GF(2) */
/*
* Get the result into r3. We need to shift it left 8 bytes:
* V0 [ 0 1 2 X ]
* V0 [ 0 X 2 3 ]
*/
vsldoi v0,v0,zeroes,8 /* shift result into top 64 bits */
#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.
*/
vand v1,v0,mask_32bit /* bottom 32 bits of a */
VPMSUMD(v1,v1,const1) /* ma */
vand v1,v1,mask_32bit /* bottom 32bits of ma */
VPMSUMD(v1,v1,const2) /* qn */
vxor v0,v0,v1 /* a - qn, subtraction is xor in GF(2) */
/*
* 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 ]
*/
vsldoi v0,v0,zeroes,4 /* shift result into top 64 bits of */
#endif
/* Get it into r3 */
MFVRD(r3, v0)
.Lout:
subi r6,r1,56+10*16
subi r7,r1,56+2*16
lvx v20,0,r6
lvx v21,off16,r6
lvx v22,off32,r6
lvx v23,off48,r6
lvx v24,off64,r6
lvx v25,off80,r6
lvx v26,off96,r6
lvx v27,off112,r6
lvx v28,0,r7
lvx v29,off16,r7
ld r31,-8(r1)
ld r30,-16(r1)
ld r29,-24(r1)
ld r28,-32(r1)
ld r27,-40(r1)
ld r26,-48(r1)
ld r25,-56(r1)
blr
.Lfirst_warm_up_done:
lvx const1,0,r3
addi r3,r3,16
VPMSUMD(v8,v16,const1)
VPMSUMD(v9,v17,const1)
VPMSUMD(v10,v18,const1)
VPMSUMD(v11,v19,const1)
VPMSUMD(v12,v20,const1)
VPMSUMD(v13,v21,const1)
VPMSUMD(v14,v22,const1)
VPMSUMD(v15,v23,const1)
b .Lsecond_cool_down
.Lshort:
cmpdi r5,0
beq .Lzero
addis r3,r2,.short_constants@toc@ha
addi r3,r3,.short_constants@toc@l
/* Calculate where in the constant table we need to start */
subfic r6,r5,256
add r3,r3,r6
/* How many 16 byte chunks? */
srdi r7,r5,4
mtctr r7
vxor v19,v19,v19
vxor v20,v20,v20
lvx v0,0,r4
lvx v16,0,r3
VPERM(v0,v0,v16,byteswap)
vxor v0,v0,v8 /* xor in initial value */
VPMSUMW(v0,v0,v16)
bdz .Lv0
lvx v1,off16,r4
lvx v17,off16,r3
VPERM(v1,v1,v17,byteswap)
VPMSUMW(v1,v1,v17)
bdz .Lv1
lvx v2,off32,r4
lvx v16,off32,r3
VPERM(v2,v2,v16,byteswap)
VPMSUMW(v2,v2,v16)
bdz .Lv2
lvx v3,off48,r4
lvx v17,off48,r3
VPERM(v3,v3,v17,byteswap)
VPMSUMW(v3,v3,v17)
bdz .Lv3
lvx v4,off64,r4
lvx v16,off64,r3
VPERM(v4,v4,v16,byteswap)
VPMSUMW(v4,v4,v16)
bdz .Lv4
lvx v5,off80,r4
lvx v17,off80,r3
VPERM(v5,v5,v17,byteswap)
VPMSUMW(v5,v5,v17)
bdz .Lv5
lvx v6,off96,r4
lvx v16,off96,r3
VPERM(v6,v6,v16,byteswap)
VPMSUMW(v6,v6,v16)
bdz .Lv6
lvx v7,off112,r4
lvx v17,off112,r3
VPERM(v7,v7,v17,byteswap)
VPMSUMW(v7,v7,v17)
bdz .Lv7
addi r3,r3,128
addi r4,r4,128
lvx v8,0,r4
lvx v16,0,r3
VPERM(v8,v8,v16,byteswap)
VPMSUMW(v8,v8,v16)
bdz .Lv8
lvx v9,off16,r4
lvx v17,off16,r3
VPERM(v9,v9,v17,byteswap)
VPMSUMW(v9,v9,v17)
bdz .Lv9
lvx v10,off32,r4
lvx v16,off32,r3
VPERM(v10,v10,v16,byteswap)
VPMSUMW(v10,v10,v16)
bdz .Lv10
lvx v11,off48,r4
lvx v17,off48,r3
VPERM(v11,v11,v17,byteswap)
VPMSUMW(v11,v11,v17)
bdz .Lv11
lvx v12,off64,r4
lvx v16,off64,r3
VPERM(v12,v12,v16,byteswap)
VPMSUMW(v12,v12,v16)
bdz .Lv12
lvx v13,off80,r4
lvx v17,off80,r3
VPERM(v13,v13,v17,byteswap)
VPMSUMW(v13,v13,v17)
bdz .Lv13
lvx v14,off96,r4
lvx v16,off96,r3
VPERM(v14,v14,v16,byteswap)
VPMSUMW(v14,v14,v16)
bdz .Lv14
lvx v15,off112,r4
lvx v17,off112,r3
VPERM(v15,v15,v17,byteswap)
VPMSUMW(v15,v15,v17)
.Lv15: vxor v19,v19,v15
.Lv14: vxor v20,v20,v14
.Lv13: vxor v19,v19,v13
.Lv12: vxor v20,v20,v12
.Lv11: vxor v19,v19,v11
.Lv10: vxor v20,v20,v10
.Lv9: vxor v19,v19,v9
.Lv8: vxor v20,v20,v8
.Lv7: vxor v19,v19,v7
.Lv6: vxor v20,v20,v6
.Lv5: vxor v19,v19,v5
.Lv4: vxor v20,v20,v4
.Lv3: vxor v19,v19,v3
.Lv2: vxor v20,v20,v2
.Lv1: vxor v19,v19,v1
.Lv0: vxor v20,v20,v0
vxor v0,v19,v20
b .Lbarrett_reduction
.Lzero:
mr r3,r10
b .Lout
FUNC_END(__crc32_vpmsum)

893
util/crc32c_ppc_constants.h
Unescape View File

@ -0,0 +1,893 @@
// Copyright (C) 2015, 2017 International Business Machines Corp.
// All rights reserved.
// This source code is licensed under the BSD-style license found in the
// LICENSE file in the root directory of this source tree. An additional grant
// of patent rights can be found in the PATENTS file in the same directory.
// This source code is also licensed under the GPLv2 license found in the
// COPYING file in the root directory of this source tree.
#ifndef CRC32C_PPC_CONST_H
#define CRC32C_PPC_CONST_H
#define CRC 0x1edc6f41
#define REFLECT
#define CRC_XOR
#ifndef __ASSEMBLY__
#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
#else
#define MAX_SIZE 32768
.constants :
/* Reduce 262144 kbits to 1024 bits */
/* x^261120 mod p(x)` << 1, x^261184 mod p(x)` << 1 */
.octa 0x00000000b6ca9e20000000009c37c408
/* x^260096 mod p(x)` << 1, x^260160 mod p(x)` << 1 */
.octa 0x00000000350249a800000001b51df26c
/* x^259072 mod p(x)` << 1, x^259136 mod p(x)` << 1 */
.octa 0x00000001862dac54000000000724b9d0
/* x^258048 mod p(x)` << 1, x^258112 mod p(x)` << 1 */
.octa 0x00000001d87fb48c00000001c00532fe
/* x^257024 mod p(x)` << 1, x^257088 mod p(x)` << 1 */
.octa 0x00000001f39b699e00000000f05a9362
/* x^256000 mod p(x)` << 1, x^256064 mod p(x)` << 1 */
.octa 0x0000000101da11b400000001e1007970
/* x^254976 mod p(x)` << 1, x^255040 mod p(x)` << 1 */
.octa 0x00000001cab571e000000000a57366ee
/* x^253952 mod p(x)` << 1, x^254016 mod p(x)` << 1 */
.octa 0x00000000c7020cfe0000000192011284
/* x^252928 mod p(x)` << 1, x^252992 mod p(x)` << 1 */
.octa 0x00000000cdaed1ae0000000162716d9a
/* x^251904 mod p(x)` << 1, x^251968 mod p(x)` << 1 */
.octa 0x00000001e804effc00000000cd97ecde
/* x^250880 mod p(x)` << 1, x^250944 mod p(x)` << 1 */
.octa 0x0000000077c3ea3a0000000058812bc0
/* x^249856 mod p(x)` << 1, x^249920 mod p(x)` << 1 */
.octa 0x0000000068df31b40000000088b8c12e
/* x^248832 mod p(x)` << 1, x^248896 mod p(x)` << 1 */
.octa 0x00000000b059b6c200000001230b234c
/* x^247808 mod p(x)` << 1, x^247872 mod p(x)` << 1 */
.octa 0x0000000145fb8ed800000001120b416e
/* x^246784 mod p(x)` << 1, x^246848 mod p(x)` << 1 */
.octa 0x00000000cbc0916800000001974aecb0
/* x^245760 mod p(x)` << 1, x^245824 mod p(x)` << 1 */
.octa 0x000000005ceeedc2000000008ee3f226
/* x^244736 mod p(x)` << 1, x^244800 mod p(x)` << 1 */
.octa 0x0000000047d74e8600000001089aba9a
/* x^243712 mod p(x)` << 1, x^243776 mod p(x)` << 1 */
.octa 0x00000001407e9e220000000065113872
/* x^242688 mod p(x)` << 1, x^242752 mod p(x)` << 1 */
.octa 0x00000001da967bda000000005c07ec10
/* x^241664 mod p(x)` << 1, x^241728 mod p(x)` << 1 */
.octa 0x000000006c8983680000000187590924
/* x^240640 mod p(x)` << 1, x^240704 mod p(x)` << 1 */
.octa 0x00000000f2d14c9800000000e35da7c6
/* x^239616 mod p(x)` << 1, x^239680 mod p(x)` << 1 */
.octa 0x00000001993c6ad4000000000415855a
/* x^238592 mod p(x)` << 1, x^238656 mod p(x)` << 1 */
.octa 0x000000014683d1ac0000000073617758
/* x^237568 mod p(x)` << 1, x^237632 mod p(x)` << 1 */
.octa 0x00000001a7c93e6c0000000176021d28
/* x^236544 mod p(x)` << 1, x^236608 mod p(x)` << 1 */
.octa 0x000000010211e90a00000001c358fd0a
/* x^235520 mod p(x)` << 1, x^235584 mod p(x)` << 1 */
.octa 0x000000001119403e00000001ff7a2c18
/* x^234496 mod p(x)` << 1, x^234560 mod p(x)` << 1 */
.octa 0x000000001c3261aa00000000f2d9f7e4
/* x^233472 mod p(x)` << 1, x^233536 mod p(x)` << 1 */
.octa 0x000000014e37a634000000016cf1f9c8
/* x^232448 mod p(x)` << 1, x^232512 mod p(x)` << 1 */
.octa 0x0000000073786c0c000000010af9279a
/* x^231424 mod p(x)` << 1, x^231488 mod p(x)` << 1 */
.octa 0x000000011dc037f80000000004f101e8
/* x^230400 mod p(x)` << 1, x^230464 mod p(x)` << 1 */
.octa 0x0000000031433dfc0000000070bcf184
/* x^229376 mod p(x)` << 1, x^229440 mod p(x)` << 1 */
.octa 0x000000009cde8348000000000a8de642
/* x^228352 mod p(x)` << 1, x^228416 mod p(x)` << 1 */
.octa 0x0000000038d3c2a60000000062ea130c
/* x^227328 mod p(x)` << 1, x^227392 mod p(x)` << 1 */
.octa 0x000000011b25f26000000001eb31cbb2
/* x^226304 mod p(x)` << 1, x^226368 mod p(x)` << 1 */
.octa 0x000000001629e6f00000000170783448
/* x^225280 mod p(x)` << 1, x^225344 mod p(x)` << 1 */
.octa 0x0000000160838b4c00000001a684b4c6
/* x^224256 mod p(x)` << 1, x^224320 mod p(x)` << 1 */
.octa 0x000000007a44011c00000000253ca5b4
/* x^223232 mod p(x)` << 1, x^223296 mod p(x)` << 1 */
.octa 0x00000000226f417a0000000057b4b1e2
/* x^222208 mod p(x)` << 1, x^222272 mod p(x)` << 1 */
.octa 0x0000000045eb2eb400000000b6bd084c
/* x^221184 mod p(x)` << 1, x^221248 mod p(x)` << 1 */
.octa 0x000000014459d70c0000000123c2d592
/* x^220160 mod p(x)` << 1, x^220224 mod p(x)` << 1 */
.octa 0x00000001d406ed8200000000159dafce
/* x^219136 mod p(x)` << 1, x^219200 mod p(x)` << 1 */
.octa 0x0000000160c8e1a80000000127e1a64e
/* x^218112 mod p(x)` << 1, x^218176 mod p(x)` << 1 */
.octa 0x0000000027ba80980000000056860754
/* x^217088 mod p(x)` << 1, x^217152 mod p(x)` << 1 */
.octa 0x000000006d92d01800000001e661aae8
/* x^216064 mod p(x)` << 1, x^216128 mod p(x)` << 1 */
.octa 0x000000012ed7e3f200000000f82c6166
/* x^215040 mod p(x)` << 1, x^215104 mod p(x)` << 1 */
.octa 0x000000002dc8778800000000c4f9c7ae
/* x^214016 mod p(x)` << 1, x^214080 mod p(x)` << 1 */
.octa 0x0000000018240bb80000000074203d20
/* x^212992 mod p(x)` << 1, x^213056 mod p(x)` << 1 */
.octa 0x000000001ad381580000000198173052
/* x^211968 mod p(x)` << 1, x^212032 mod p(x)` << 1 */
.octa 0x00000001396b78f200000001ce8aba54
/* x^210944 mod p(x)` << 1, x^211008 mod p(x)` << 1 */
.octa 0x000000011a68133400000001850d5d94
/* x^209920 mod p(x)` << 1, x^209984 mod p(x)` << 1 */
.octa 0x000000012104732e00000001d609239c
/* x^208896 mod p(x)` << 1, x^208960 mod p(x)` << 1 */
.octa 0x00000000a140d90c000000001595f048
/* x^207872 mod p(x)` << 1, x^207936 mod p(x)` << 1 */
.octa 0x00000001b7215eda0000000042ccee08
/* x^206848 mod p(x)` << 1, x^206912 mod p(x)` << 1 */
.octa 0x00000001aaf1df3c000000010a389d74
/* x^205824 mod p(x)` << 1, x^205888 mod p(x)` << 1 */
.octa 0x0000000029d15b8a000000012a840da6
/* x^204800 mod p(x)` << 1, x^204864 mod p(x)` << 1 */
.octa 0x00000000f1a96922000000001d181c0c
/* x^203776 mod p(x)` << 1, x^203840 mod p(x)` << 1 */
.octa 0x00000001ac80d03c0000000068b7d1f6
/* x^202752 mod p(x)` << 1, x^202816 mod p(x)` << 1 */
.octa 0x000000000f11d56a000000005b0f14fc
/* x^201728 mod p(x)` << 1, x^201792 mod p(x)` << 1 */
.octa 0x00000001f1c022a20000000179e9e730
/* x^200704 mod p(x)` << 1, x^200768 mod p(x)` << 1 */
.octa 0x0000000173d00ae200000001ce1368d6
/* x^199680 mod p(x)` << 1, x^199744 mod p(x)` << 1 */
.octa 0x00000001d4ffe4ac0000000112c3a84c
/* x^198656 mod p(x)` << 1, x^198720 mod p(x)` << 1 */
.octa 0x000000016edc5ae400000000de940fee
/* x^197632 mod p(x)` << 1, x^197696 mod p(x)` << 1 */
.octa 0x00000001f1a0214000000000fe896b7e
/* x^196608 mod p(x)` << 1, x^196672 mod p(x)` << 1 */
.octa 0x00000000ca0b28a000000001f797431c
/* x^195584 mod p(x)` << 1, x^195648 mod p(x)` << 1 */
.octa 0x00000001928e30a20000000053e989ba
/* x^194560 mod p(x)` << 1, x^194624 mod p(x)` << 1 */
.octa 0x0000000097b1b002000000003920cd16
/* x^193536 mod p(x)` << 1, x^193600 mod p(x)` << 1 */
.octa 0x00000000b15bf90600000001e6f579b8
/* x^192512 mod p(x)` << 1, x^192576 mod p(x)` << 1 */
.octa 0x00000000411c5d52000000007493cb0a
/* x^191488 mod p(x)` << 1, x^191552 mod p(x)` << 1 */
.octa 0x00000001c36f330000000001bdd376d8
/* x^190464 mod p(x)` << 1, x^190528 mod p(x)` << 1 */
.octa 0x00000001119227e0000000016badfee6
/* x^189440 mod p(x)` << 1, x^189504 mod p(x)` << 1 */
.octa 0x00000000114d47020000000071de5c58
/* x^188416 mod p(x)` << 1, x^188480 mod p(x)` << 1 */
.octa 0x00000000458b5b9800000000453f317c
/* x^187392 mod p(x)` << 1, x^187456 mod p(x)` << 1 */
.octa 0x000000012e31fb8e0000000121675cce
/* x^186368 mod p(x)` << 1, x^186432 mod p(x)` << 1 */
.octa 0x000000005cf619d800000001f409ee92
/* x^185344 mod p(x)` << 1, x^185408 mod p(x)` << 1 */
.octa 0x0000000063f4d8b200000000f36b9c88
/* x^184320 mod p(x)` << 1, x^184384 mod p(x)` << 1 */
.octa 0x000000004138dc8a0000000036b398f4
/* x^183296 mod p(x)` << 1, x^183360 mod p(x)` << 1 */
.octa 0x00000001d29ee8e000000001748f9adc
/* x^182272 mod p(x)` << 1, x^182336 mod p(x)` << 1 */
.octa 0x000000006a08ace800000001be94ec00
/* x^181248 mod p(x)` << 1, x^181312 mod p(x)` << 1 */
.octa 0x0000000127d4201000000000b74370d6
/* x^180224 mod p(x)` << 1, x^180288 mod p(x)` << 1 */
.octa 0x0000000019d76b6200000001174d0b98
/* x^179200 mod p(x)` << 1, x^179264 mod p(x)` << 1 */
.octa 0x00000001b1471f6e00000000befc06a4
/* x^178176 mod p(x)` << 1, x^178240 mod p(x)` << 1 */
.octa 0x00000001f64c19cc00000001ae125288
/* x^177152 mod p(x)` << 1, x^177216 mod p(x)` << 1 */
.octa 0x00000000003c0ea00000000095c19b34
/* x^176128 mod p(x)` << 1, x^176192 mod p(x)` << 1 */
.octa 0x000000014d73abf600000001a78496f2
/* x^175104 mod p(x)` << 1, x^175168 mod p(x)` << 1 */
.octa 0x00000001620eb84400000001ac5390a0
/* x^174080 mod p(x)` << 1, x^174144 mod p(x)` << 1 */
.octa 0x0000000147655048000000002a80ed6e
/* x^173056 mod p(x)` << 1, x^173120 mod p(x)` << 1 */
.octa 0x0000000067b5077e00000001fa9b0128
/* x^172032 mod p(x)` << 1, x^172096 mod p(x)` << 1 */
.octa 0x0000000010ffe20600000001ea94929e
/* x^171008 mod p(x)` << 1, x^171072 mod p(x)` << 1 */
.octa 0x000000000fee8f1e0000000125f4305c
/* x^169984 mod p(x)` << 1, x^170048 mod p(x)` << 1 */
.octa 0x00000001da26fbae00000001471e2002
/* x^168960 mod p(x)` << 1, x^169024 mod p(x)` << 1 */
.octa 0x00000001b3a8bd880000000132d2253a
/* x^167936 mod p(x)` << 1, x^168000 mod p(x)` << 1 */
.octa 0x00000000e8f3898e00000000f26b3592
/* x^166912 mod p(x)` << 1, x^166976 mod p(x)` << 1 */
.octa 0x00000000b0d0d28c00000000bc8b67b0
/* x^165888 mod p(x)` << 1, x^165952 mod p(x)` << 1 */
.octa 0x0000000030f2a798000000013a826ef2
/* x^164864 mod p(x)` << 1, x^164928 mod p(x)` << 1 */
.octa 0x000000000fba10020000000081482c84
/* x^163840 mod p(x)` << 1, x^163904 mod p(x)` << 1 */
.octa 0x00000000bdb9bd7200000000e77307c2
/* x^162816 mod p(x)` << 1, x^162880 mod p(x)` << 1 */
.octa 0x0000000075d3bf5a00000000d4a07ec8
/* x^161792 mod p(x)` << 1, x^161856 mod p(x)` << 1 */
.octa 0x00000000ef1f98a00000000017102100
/* x^160768 mod p(x)` << 1, x^160832 mod p(x)` << 1 */
.octa 0x00000000689c760200000000db406486
/* x^159744 mod p(x)` << 1, x^159808 mod p(x)` << 1 */
.octa 0x000000016d5fa5fe0000000192db7f88
/* x^158720 mod p(x)` << 1, x^158784 mod p(x)` << 1 */
.octa 0x00000001d0d2b9ca000000018bf67b1e
/* x^157696 mod p(x)` << 1, x^157760 mod p(x)` << 1 */
.octa 0x0000000041e7b470000000007c09163e
/* x^156672 mod p(x)` << 1, x^156736 mod p(x)` << 1 */
.octa 0x00000001cbb6495e000000000adac060
/* x^155648 mod p(x)` << 1, x^155712 mod p(x)` << 1 */
.octa 0x000000010052a0b000000000bd8316ae
/* x^154624 mod p(x)` << 1, x^154688 mod p(x)` << 1 */
.octa 0x00000001d8effb5c000000019f09ab54
/* x^153600 mod p(x)` << 1, x^153664 mod p(x)` << 1 */
.octa 0x00000001d969853c0000000125155542
/* x^152576 mod p(x)` << 1, x^152640 mod p(x)` << 1 */
.octa 0x00000000523ccce2000000018fdb5882
/* x^151552 mod p(x)` << 1, x^151616 mod p(x)` << 1 */
.octa 0x000000001e2436bc00000000e794b3f4
/* x^150528 mod p(x)` << 1, x^150592 mod p(x)` << 1 */
.octa 0x00000000ddd1c3a2000000016f9bb022
/* x^149504 mod p(x)` << 1, x^149568 mod p(x)` << 1 */
.octa 0x0000000019fcfe3800000000290c9978
/* x^148480 mod p(x)` << 1, x^148544 mod p(x)` << 1 */
.octa 0x00000001ce95db640000000083c0f350
/* x^147456 mod p(x)` << 1, x^147520 mod p(x)` << 1 */
.octa 0x00000000af5828060000000173ea6628
/* x^146432 mod p(x)` << 1, x^146496 mod p(x)` << 1 */
.octa 0x00000001006388f600000001c8b4e00a
/* x^145408 mod p(x)` << 1, x^145472 mod p(x)` << 1 */
.octa 0x0000000179eca00a00000000de95d6aa
/* x^144384 mod p(x)` << 1, x^144448 mod p(x)` << 1 */
.octa 0x0000000122410a6a000000010b7f7248
/* x^143360 mod p(x)` << 1, x^143424 mod p(x)` << 1 */
.octa 0x000000004288e87c00000001326e3a06
/* x^142336 mod p(x)` << 1, x^142400 mod p(x)` << 1 */
.octa 0x000000016c5490da00000000bb62c2e6
/* x^141312 mod p(x)` << 1, x^141376 mod p(x)` << 1 */
.octa 0x00000000d1c71f6e0000000156a4b2c2
/* x^140288 mod p(x)` << 1, x^140352 mod p(x)` << 1 */
.octa 0x00000001b4ce08a6000000011dfe763a
/* x^139264 mod p(x)` << 1, x^139328 mod p(x)` << 1 */
.octa 0x00000001466ba60c000000007bcca8e2
/* x^138240 mod p(x)` << 1, x^138304 mod p(x)` << 1 */
.octa 0x00000001f6c488a40000000186118faa
/* x^137216 mod p(x)` << 1, x^137280 mod p(x)` << 1 */
.octa 0x000000013bfb06820000000111a65a88
/* x^136192 mod p(x)` << 1, x^136256 mod p(x)` << 1 */
.octa 0x00000000690e9e54000000003565e1c4
/* x^135168 mod p(x)` << 1, x^135232 mod p(x)` << 1 */
.octa 0x00000000281346b6000000012ed02a82
/* x^134144 mod p(x)` << 1, x^134208 mod p(x)` << 1 */
.octa 0x000000015646402400000000c486ecfc
/* x^133120 mod p(x)` << 1, x^133184 mod p(x)` << 1 */
.octa 0x000000016063a8dc0000000001b951b2
/* x^132096 mod p(x)` << 1, x^132160 mod p(x)` << 1 */
.octa 0x0000000116a663620000000048143916
/* x^131072 mod p(x)` << 1, x^131136 mod p(x)` << 1 */
.octa 0x000000017e8aa4d200000001dc2ae124
/* x^130048 mod p(x)` << 1, x^130112 mod p(x)` << 1 */
.octa 0x00000001728eb10c00000001416c58d6
/* x^129024 mod p(x)` << 1, x^129088 mod p(x)` << 1 */
.octa 0x00000001b08fd7fa00000000a479744a
/* x^128000 mod p(x)` << 1, x^128064 mod p(x)` << 1 */
.octa 0x00000001092a16e80000000096ca3a26
/* x^126976 mod p(x)` << 1, x^127040 mod p(x)` << 1 */
.octa 0x00000000a505637c00000000ff223d4e
/* x^125952 mod p(x)` << 1, x^126016 mod p(x)` << 1 */
.octa 0x00000000d94869b2000000010e84da42
/* x^124928 mod p(x)` << 1, x^124992 mod p(x)` << 1 */
.octa 0x00000001c8b203ae00000001b61ba3d0
/* x^123904 mod p(x)` << 1, x^123968 mod p(x)` << 1 */
.octa 0x000000005704aea000000000680f2de8
/* x^122880 mod p(x)` << 1, x^122944 mod p(x)` << 1 */
.octa 0x000000012e295fa2000000008772a9a8
/* x^121856 mod p(x)` << 1, x^121920 mod p(x)` << 1 */
.octa 0x000000011d0908bc0000000155f295bc
/* x^120832 mod p(x)` << 1, x^120896 mod p(x)` << 1 */
.octa 0x0000000193ed97ea00000000595f9282
/* x^119808 mod p(x)` << 1, x^119872 mod p(x)` << 1 */
.octa 0x000000013a0f1c520000000164b1c25a
/* x^118784 mod p(x)` << 1, x^118848 mod p(x)` << 1 */
.octa 0x000000010c2c40c000000000fbd67c50
/* x^117760 mod p(x)` << 1, x^117824 mod p(x)` << 1 */
.octa 0x00000000ff6fac3e0000000096076268
/* x^116736 mod p(x)` << 1, x^116800 mod p(x)` << 1 */
.octa 0x000000017b3609c000000001d288e4cc
/* x^115712 mod p(x)` << 1, x^115776 mod p(x)` << 1 */
.octa 0x0000000088c8c92200000001eaac1bdc
/* x^114688 mod p(x)` << 1, x^114752 mod p(x)` << 1 */
.octa 0x00000001751baae600000001f1ea39e2
/* x^113664 mod p(x)` << 1, x^113728 mod p(x)` << 1 */
.octa 0x000000010795297200000001eb6506fc
/* x^112640 mod p(x)` << 1, x^112704 mod p(x)` << 1 */
.octa 0x0000000162b00abe000000010f806ffe
/* x^111616 mod p(x)` << 1, x^111680 mod p(x)` << 1 */
.octa 0x000000000d7b404c000000010408481e
/* x^110592 mod p(x)` << 1, x^110656 mod p(x)` << 1 */
.octa 0x00000000763b13d40000000188260534
/* x^109568 mod p(x)` << 1, x^109632 mod p(x)` << 1 */
.octa 0x00000000f6dc22d80000000058fc73e0
/* x^108544 mod p(x)` << 1, x^108608 mod p(x)` << 1 */
.octa 0x000000007daae06000000000391c59b8
/* x^107520 mod p(x)` << 1, x^107584 mod p(x)` << 1 */
.octa 0x000000013359ab7c000000018b638400
/* x^106496 mod p(x)` << 1, x^106560 mod p(x)` << 1 */
.octa 0x000000008add438a000000011738f5c4
/* x^105472 mod p(x)` << 1, x^105536 mod p(x)` << 1 */
.octa 0x00000001edbefdea000000008cf7c6da
/* x^104448 mod p(x)` << 1, x^104512 mod p(x)` << 1 */
.octa 0x000000004104e0f800000001ef97fb16
/* x^103424 mod p(x)` << 1, x^103488 mod p(x)` << 1 */
.octa 0x00000000b48a82220000000102130e20
/* x^102400 mod p(x)` << 1, x^102464 mod p(x)` << 1 */
.octa 0x00000001bcb4684400000000db968898
/* x^101376 mod p(x)` << 1, x^101440 mod p(x)` << 1 */
.octa 0x000000013293ce0a00000000b5047b5e
/* x^100352 mod p(x)` << 1, x^100416 mod p(x)` << 1 */
.octa 0x00000001710d0844000000010b90fdb2
/* x^99328 mod p(x)` << 1, x^99392 mod p(x)` << 1 */
.octa 0x0000000117907f6e000000004834a32e
/* x^98304 mod p(x)` << 1, x^98368 mod p(x)` << 1 */
.octa 0x0000000087ddf93e0000000059c8f2b0
/* x^97280 mod p(x)` << 1, x^97344 mod p(x)` << 1 */
.octa 0x000000005970e9b00000000122cec508
/* x^96256 mod p(x)` << 1, x^96320 mod p(x)` << 1 */
.octa 0x0000000185b2b7d0000000000a330cda
/* x^95232 mod p(x)` << 1, x^95296 mod p(x)` << 1 */
.octa 0x00000001dcee0efc000000014a47148c
/* x^94208 mod p(x)` << 1, x^94272 mod p(x)` << 1 */
.octa 0x0000000030da27220000000042c61cb8
/* x^93184 mod p(x)` << 1, x^93248 mod p(x)` << 1 */
.octa 0x000000012f925a180000000012fe6960
/* x^92160 mod p(x)` << 1, x^92224 mod p(x)` << 1 */
.octa 0x00000000dd2e357c00000000dbda2c20
/* x^91136 mod p(x)` << 1, x^91200 mod p(x)` << 1 */
.octa 0x00000000071c80de000000011122410c
/* x^90112 mod p(x)` << 1, x^90176 mod p(x)` << 1 */
.octa 0x000000011513140a00000000977b2070
/* x^89088 mod p(x)` << 1, x^89152 mod p(x)` << 1 */
.octa 0x00000001df876e8e000000014050438e
/* x^88064 mod p(x)` << 1, x^88128 mod p(x)` << 1 */
.octa 0x000000015f81d6ce0000000147c840e8
/* x^87040 mod p(x)` << 1, x^87104 mod p(x)` << 1 */
.octa 0x000000019dd94dbe00000001cc7c88ce
/* x^86016 mod p(x)` << 1, x^86080 mod p(x)` << 1 */
.octa 0x00000001373d206e00000001476b35a4
/* x^84992 mod p(x)` << 1, x^85056 mod p(x)` << 1 */
.octa 0x00000000668ccade000000013d52d508
/* x^83968 mod p(x)` << 1, x^84032 mod p(x)` << 1 */
.octa 0x00000001b192d268000000008e4be32e
/* x^82944 mod p(x)` << 1, x^83008 mod p(x)` << 1 */
.octa 0x00000000e30f3a7800000000024120fe
/* x^81920 mod p(x)` << 1, x^81984 mod p(x)` << 1 */
.octa 0x000000010ef1f7bc00000000ddecddb4
/* x^80896 mod p(x)` << 1, x^80960 mod p(x)` << 1 */
.octa 0x00000001f5ac738000000000d4d403bc
/* x^79872 mod p(x)` << 1, x^79936 mod p(x)` << 1 */
.octa 0x000000011822ea7000000001734b89aa
/* x^78848 mod p(x)` << 1, x^78912 mod p(x)` << 1 */
.octa 0x00000000c3a33848000000010e7a58d6
/* x^77824 mod p(x)` << 1, x^77888 mod p(x)` << 1 */
.octa 0x00000001bd151c2400000001f9f04e9c
/* x^76800 mod p(x)` << 1, x^76864 mod p(x)` << 1 */
.octa 0x0000000056002d7600000000b692225e
/* x^75776 mod p(x)` << 1, x^75840 mod p(x)` << 1 */
.octa 0x000000014657c4f4000000019b8d3f3e
/* x^74752 mod p(x)` << 1, x^74816 mod p(x)` << 1 */
.octa 0x0000000113742d7c00000001a874f11e
/* x^73728 mod p(x)` << 1, x^73792 mod p(x)` << 1 */
.octa 0x000000019c5920ba000000010d5a4254
/* x^72704 mod p(x)` << 1, x^72768 mod p(x)` << 1 */
.octa 0x000000005216d2d600000000bbb2f5d6
/* x^71680 mod p(x)` << 1, x^71744 mod p(x)` << 1 */
.octa 0x0000000136f5ad8a0000000179cc0e36
/* x^70656 mod p(x)` << 1, x^70720 mod p(x)` << 1 */
.octa 0x000000018b07beb600000001dca1da4a
/* x^69632 mod p(x)` << 1, x^69696 mod p(x)` << 1 */
.octa 0x00000000db1e93b000000000feb1a192
/* x^68608 mod p(x)` << 1, x^68672 mod p(x)` << 1 */
.octa 0x000000000b96fa3a00000000d1eeedd6
/* x^67584 mod p(x)` << 1, x^67648 mod p(x)` << 1 */
.octa 0x00000001d9968af0000000008fad9bb4
/* x^66560 mod p(x)` << 1, x^66624 mod p(x)` << 1 */
.octa 0x000000000e4a77a200000001884938e4
/* x^65536 mod p(x)` << 1, x^65600 mod p(x)` << 1 */
.octa 0x00000000508c2ac800000001bc2e9bc0
/* x^64512 mod p(x)` << 1, x^64576 mod p(x)` << 1 */
.octa 0x0000000021572a8000000001f9658a68
/* x^63488 mod p(x)` << 1, x^63552 mod p(x)` << 1 */
.octa 0x00000001b859daf2000000001b9224fc
/* x^62464 mod p(x)` << 1, x^62528 mod p(x)` << 1 */
.octa 0x000000016f7884740000000055b2fb84
/* x^61440 mod p(x)` << 1, x^61504 mod p(x)` << 1 */
.octa 0x00000001b438810e000000018b090348
/* x^60416 mod p(x)` << 1, x^60480 mod p(x)` << 1 */
.octa 0x0000000095ddc6f2000000011ccbd5ea
/* x^59392 mod p(x)` << 1, x^59456 mod p(x)` << 1 */
.octa 0x00000001d977c20c0000000007ae47f8
/* x^58368 mod p(x)` << 1, x^58432 mod p(x)` << 1 */
.octa 0x00000000ebedb99a0000000172acbec0
/* x^57344 mod p(x)` << 1, x^57408 mod p(x)` << 1 */
.octa 0x00000001df9e9e9200000001c6e3ff20
/* x^56320 mod p(x)` << 1, x^56384 mod p(x)` << 1 */
.octa 0x00000001a4a3f95200000000e1b38744
/* x^55296 mod p(x)` << 1, x^55360 mod p(x)` << 1 */
.octa 0x00000000e2f5122000000000791585b2
/* x^54272 mod p(x)` << 1, x^54336 mod p(x)` << 1 */
.octa 0x000000004aa01f3e00000000ac53b894
/* x^53248 mod p(x)` << 1, x^53312 mod p(x)` << 1 */
.octa 0x00000000b3e90a5800000001ed5f2cf4
/* x^52224 mod p(x)` << 1, x^52288 mod p(x)` << 1 */
.octa 0x000000000c9ca2aa00000001df48b2e0
/* x^51200 mod p(x)` << 1, x^51264 mod p(x)` << 1 */
.octa 0x000000015168231600000000049c1c62
/* x^50176 mod p(x)` << 1, x^50240 mod p(x)` << 1 */
.octa 0x0000000036fce78c000000017c460c12
/* x^49152 mod p(x)` << 1, x^49216 mod p(x)` << 1 */
.octa 0x000000009037dc10000000015be4da7e
/* x^48128 mod p(x)` << 1, x^48192 mod p(x)` << 1 */
.octa 0x00000000d3298582000000010f38f668
/* x^47104 mod p(x)` << 1, x^47168 mod p(x)` << 1 */
.octa 0x00000001b42e8ad60000000039f40a00
/* x^46080 mod p(x)` << 1, x^46144 mod p(x)` << 1 */
.octa 0x00000000142a983800000000bd4c10c4
/* x^45056 mod p(x)` << 1, x^45120 mod p(x)` << 1 */
.octa 0x0000000109c7f1900000000042db1d98
/* x^44032 mod p(x)` << 1, x^44096 mod p(x)` << 1 */
.octa 0x0000000056ff931000000001c905bae6
/* x^43008 mod p(x)` << 1, x^43072 mod p(x)` << 1 */
.octa 0x00000001594513aa00000000069d40ea
/* x^41984 mod p(x)` << 1, x^42048 mod p(x)` << 1 */
.octa 0x00000001e3b5b1e8000000008e4fbad0
/* x^40960 mod p(x)` << 1, x^41024 mod p(x)` << 1 */
.octa 0x000000011dd5fc080000000047bedd46
/* x^39936 mod p(x)` << 1, x^40000 mod p(x)` << 1 */
.octa 0x00000001675f0cc20000000026396bf8
/* x^38912 mod p(x)` << 1, x^38976 mod p(x)` << 1 */
.octa 0x00000000d1c8dd4400000000379beb92
/* x^37888 mod p(x)` << 1, x^37952 mod p(x)` << 1 */
.octa 0x0000000115ebd3d8000000000abae54a
/* x^36864 mod p(x)` << 1, x^36928 mod p(x)` << 1 */
.octa 0x00000001ecbd0dac0000000007e6a128
/* x^35840 mod p(x)` << 1, x^35904 mod p(x)` << 1 */
.octa 0x00000000cdf67af2000000000ade29d2
/* x^34816 mod p(x)` << 1, x^34880 mod p(x)` << 1 */
.octa 0x000000004c01ff4c00000000f974c45c
/* x^33792 mod p(x)` << 1, x^33856 mod p(x)` << 1 */
.octa 0x00000000f2d8657e00000000e77ac60a
/* x^32768 mod p(x)` << 1, x^32832 mod p(x)` << 1 */
.octa 0x000000006bae74c40000000145895816
/* x^31744 mod p(x)` << 1, x^31808 mod p(x)` << 1 */
.octa 0x0000000152af8aa00000000038e362be
/* x^30720 mod p(x)` << 1, x^30784 mod p(x)` << 1 */
.octa 0x0000000004663802000000007f991a64
/* x^29696 mod p(x)` << 1, x^29760 mod p(x)` << 1 */
.octa 0x00000001ab2f5afc00000000fa366d3a
/* x^28672 mod p(x)` << 1, x^28736 mod p(x)` << 1 */
.octa 0x0000000074a4ebd400000001a2bb34f0
/* x^27648 mod p(x)` << 1, x^27712 mod p(x)` << 1 */
.octa 0x00000001d7ab3a4c0000000028a9981e
/* x^26624 mod p(x)` << 1, x^26688 mod p(x)` << 1 */
.octa 0x00000001a8da60c600000001dbc672be
/* x^25600 mod p(x)` << 1, x^25664 mod p(x)` << 1 */
.octa 0x000000013cf6382000000000b04d77f6
/* x^24576 mod p(x)` << 1, x^24640 mod p(x)` << 1 */
.octa 0x00000000bec12e1e0000000124400d96
/* x^23552 mod p(x)` << 1, x^23616 mod p(x)` << 1 */
.octa 0x00000001c6368010000000014ca4b414
/* x^22528 mod p(x)` << 1, x^22592 mod p(x)` << 1 */
.octa 0x00000001e6e78758000000012fe2c938
/* x^21504 mod p(x)` << 1, x^21568 mod p(x)` << 1 */
.octa 0x000000008d7f2b3c00000001faed01e6
/* x^20480 mod p(x)` << 1, x^20544 mod p(x)` << 1 */
.octa 0x000000016b4a156e000000007e80ecfe
/* x^19456 mod p(x)` << 1, x^19520 mod p(x)` << 1 */
.octa 0x00000001c63cfeb60000000098daee94
/* x^18432 mod p(x)` << 1, x^18496 mod p(x)` << 1 */
.octa 0x000000015f902670000000010a04edea
/* x^17408 mod p(x)` << 1, x^17472 mod p(x)` << 1 */
.octa 0x00000001cd5de11e00000001c00b4524
/* x^16384 mod p(x)` << 1, x^16448 mod p(x)` << 1 */
.octa 0x000000001acaec540000000170296550
/* x^15360 mod p(x)` << 1, x^15424 mod p(x)` << 1 */
.octa 0x000000002bd0ca780000000181afaa48
/* x^14336 mod p(x)` << 1, x^14400 mod p(x)` << 1 */
.octa 0x0000000032d63d5c0000000185a31ffa
/* x^13312 mod p(x)` << 1, x^13376 mod p(x)` << 1 */
.octa 0x000000001c6d4e4c000000002469f608
/* x^12288 mod p(x)` << 1, x^12352 mod p(x)` << 1 */
.octa 0x0000000106a60b92000000006980102a
/* x^11264 mod p(x)` << 1, x^11328 mod p(x)` << 1 */
.octa 0x00000000d3855e120000000111ea9ca8
/* x^10240 mod p(x)` << 1, x^10304 mod p(x)` << 1 */
.octa 0x00000000e312563600000001bd1d29ce
/* x^9216 mod p(x)` << 1, x^9280 mod p(x)` << 1 */
.octa 0x000000009e8f7ea400000001b34b9580
/* x^8192 mod p(x)` << 1, x^8256 mod p(x)` << 1 */
.octa 0x00000001c82e562c000000003076054e
/* x^7168 mod p(x)` << 1, x^7232 mod p(x)` << 1 */
.octa 0x00000000ca9f09ce000000012a608ea4
/* x^6144 mod p(x)` << 1, x^6208 mod p(x)` << 1 */
.octa 0x00000000c63764e600000000784d05fe
/* x^5120 mod p(x)` << 1, x^5184 mod p(x)` << 1 */
.octa 0x0000000168d2e49e000000016ef0d82a
/* x^4096 mod p(x)` << 1, x^4160 mod p(x)` << 1 */
.octa 0x00000000e986c1480000000075bda454
/* x^3072 mod p(x)` << 1, x^3136 mod p(x)` << 1 */
.octa 0x00000000cfb65894000000003dc0a1c4
/* x^2048 mod p(x)` << 1, x^2112 mod p(x)` << 1 */
.octa 0x0000000111cadee400000000e9a5d8be
/* x^1024 mod p(x)` << 1, x^1088 mod p(x)` << 1 */
.octa 0x0000000171fb63ce00000001609bc4b4
.short_constants :
/* Reduce final 1024-2048 bits to 64 bits, shifting 32 bits to include the
trailing 32 bits of zeros */
/* x^1952 mod p(x)`, x^1984 mod p(x)`, x^2016 mod p(x)`, x^2048 mod p(x)` */
.octa 0x7fec2963e5bf80485cf015c388e56f72
/* x^1824 mod p(x)`, x^1856 mod p(x)`, x^1888 mod p(x)`, x^1920 mod p(x)` */
.octa 0x38e888d4844752a9963a18920246e2e6
/* x^1696 mod p(x)`, x^1728 mod p(x)`, x^1760 mod p(x)`, x^1792 mod p(x)` */
.octa 0x42316c00730206ad419a441956993a31
/* x^1568 mod p(x)`, x^1600 mod p(x)`, x^1632 mod p(x)`, x^1664 mod p(x)` */
.octa 0x543d5c543e65ddf9924752ba2b830011
/* x^1440 mod p(x)`, x^1472 mod p(x)`, x^1504 mod p(x)`, x^1536 mod p(x)` */
.octa 0x78e87aaf56767c9255bd7f9518e4a304
/* x^1312 mod p(x)`, x^1344 mod p(x)`, x^1376 mod p(x)`, x^1408 mod p(x)` */
.octa 0x8f68fcec1903da7f6d76739fe0553f1e
/* x^1184 mod p(x)`, x^1216 mod p(x)`, x^1248 mod p(x)`, x^1280 mod p(x)` */
.octa 0x3f4840246791d588c133722b1fe0b5c3
/* x^1056 mod p(x)`, x^1088 mod p(x)`, x^1120 mod p(x)`, x^1152 mod p(x)` */
.octa 0x34c96751b04de25a64b67ee0e55ef1f3
/* x^928 mod p(x)`, x^960 mod p(x)`, x^992 mod p(x)`, x^1024 mod p(x)` */
.octa 0x156c8e180b4a395b069db049b8fdb1e7
/* x^800 mod p(x)`, x^832 mod p(x)`, x^864 mod p(x)`, x^896 mod p(x)` */
.octa 0xe0b99ccbe661f7bea11bfaf3c9e90b9e
/* x^672 mod p(x)`, x^704 mod p(x)`, x^736 mod p(x)`, x^768 mod p(x)` */
.octa 0x041d37768cd75659817cdc5119b29a35
/* x^544 mod p(x)`, x^576 mod p(x)`, x^608 mod p(x)`, x^640 mod p(x)` */
.octa 0x3a0777818cfaa9651ce9d94b36c41f1c
/* x^416 mod p(x)`, x^448 mod p(x)`, x^480 mod p(x)`, x^512 mod p(x)` */
.octa 0x0e148e8252377a554f256efcb82be955
/* x^288 mod p(x)`, x^320 mod p(x)`, x^352 mod p(x)`, x^384 mod p(x)` */
.octa 0x9c25531d19e65ddeec1631edb2dea967
/* x^160 mod p(x)`, x^192 mod p(x)`, x^224 mod p(x)`, x^256 mod p(x)` */
.octa 0x790606ff9957c0a65d27e147510ac59a
/* x^32 mod p(x)`, x^64 mod p(x)`, x^96 mod p(x)`, x^128 mod p(x)` */
.octa 0x82f63b786ea2d55ca66805eb18b8ea18
.barrett_constants :
/* 33 bit reflected Barrett constant m - (4^32)/n */
.octa 0x000000000000000000000000dea713f1 /* x^64 div p(x)` */
/* 33 bit reflected Barrett constant n */
.octa 0x00000000000000000000000105ec76f1
#endif
#endif

31
util/ppc-opcode.h
Unescape View File

@ -0,0 +1,31 @@
// Copyright (c) 2017 International Business Machines Corp.
// All rights reserved.
// This source code is licensed under the BSD-style license found in the
// LICENSE file in the root directory of this source tree. An additional grant
// of patent rights can be found in the PATENTS file in the same directory.
// This source code is also licensed under the GPLv2 license found in the
// COPYING file in the root directory of this source tree.
#ifndef __OPCODES_H
#define __OPCODES_H
#define __PPC_RA(a) (((a)&0x1f) << 16)
#define __PPC_RB(b) (((b)&0x1f) << 11)
#define __PPC_XA(a) ((((a)&0x1f) << 16) | (((a)&0x20) >> 3))
#define __PPC_XB(b) ((((b)&0x1f) << 11) | (((b)&0x20) >> 4))
#define __PPC_XS(s) ((((s)&0x1f) << 21) | (((s)&0x20) >> 5))
#define __PPC_XT(s) __PPC_XS(s)
#define VSX_XX3(t, a, b) (__PPC_XT(t) | __PPC_XA(a) | __PPC_XB(b))
#define VSX_XX1(s, a, b) (__PPC_XS(s) | __PPC_RA(a) | __PPC_RB(b))
#define PPC_INST_VPMSUMW 0x10000488
#define PPC_INST_VPMSUMD 0x100004c8
#define PPC_INST_MFVSRD 0x7c000066
#define PPC_INST_MTVSRD 0x7c000166
#define VPMSUMW(t, a, b) .long PPC_INST_VPMSUMW | VSX_XX3((t), a, b)
#define VPMSUMD(t, a, b) .long PPC_INST_VPMSUMD | VSX_XX3((t), a, b)
#define MFVRD(a, t) .long PPC_INST_MFVSRD | VSX_XX1((t) + 32, a, 0)
#define MTVRD(t, a) .long PPC_INST_MTVSRD | VSX_XX1((t) + 32, a, 0)
#endif
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