8319577: x86_64 AVX2 intrinsics for Arrays.sort methods (int, float arrays)

Reviewed-by: sviswanathan, ihse, jbhateja, kvn
This commit is contained in:
vamsi-parasa 2023-12-08 22:52:48 +00:00 committed by Sandhya Viswanathan
parent 5c12a182e3
commit ce108446ca
24 changed files with 2471 additions and 1720 deletions

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@ -245,7 +245,7 @@ ifeq ($(call isTargetOs, linux)+$(call isTargetCpu, x86_64)+$(INCLUDE_COMPILER2)
TOOLCHAIN := TOOLCHAIN_LINK_CXX, \
OPTIMIZATION := HIGH, \
CFLAGS := $(CFLAGS_JDKLIB), \
CXXFLAGS := $(CXXFLAGS_JDKLIB), \
CXXFLAGS := $(CXXFLAGS_JDKLIB) -std=c++17, \
LDFLAGS := $(LDFLAGS_JDKLIB) \
$(call SET_SHARED_LIBRARY_ORIGIN), \
LIBS := $(LIBCXX), \

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@ -193,4 +193,9 @@
}
}
// Is SIMD sort supported for this CPU?
static bool supports_simd_sort(BasicType bt) {
return false;
}
#endif // CPU_AARCH64_MATCHER_AARCH64_HPP

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@ -186,4 +186,9 @@
}
}
// Is SIMD sort supported for this CPU?
static bool supports_simd_sort(BasicType bt) {
return false;
}
#endif // CPU_ARM_MATCHER_ARM_HPP

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@ -195,4 +195,9 @@
}
}
// Is SIMD sort supported for this CPU?
static bool supports_simd_sort(BasicType bt) {
return false;
}
#endif // CPU_PPC_MATCHER_PPC_HPP

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@ -192,4 +192,9 @@
}
}
// Is SIMD sort supported for this CPU?
static bool supports_simd_sort(BasicType bt) {
return false;
}
#endif // CPU_RISCV_MATCHER_RISCV_HPP

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@ -184,4 +184,9 @@
}
}
// Is SIMD sort supported for this CPU?
static bool supports_simd_sort(BasicType bt) {
return false;
}
#endif // CPU_S390_MATCHER_S390_HPP

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@ -248,4 +248,17 @@
}
}
// Is SIMD sort supported for this CPU?
static bool supports_simd_sort(BasicType bt) {
if (VM_Version::supports_avx512dq()) {
return true;
}
else if (VM_Version::supports_avx2() && !is_double_word_type(bt)) {
return true;
}
else {
return false;
}
}
#endif // CPU_X86_MATCHER_X86_HPP

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@ -4193,22 +4193,23 @@ void StubGenerator::generate_compiler_stubs() {
= CAST_FROM_FN_PTR(address, SharedRuntime::montgomery_square);
}
// Load x86_64_sort library on supported hardware to enable avx512 sort and partition intrinsics
if (VM_Version::is_intel() && VM_Version::supports_avx512dq()) {
// Load x86_64_sort library on supported hardware to enable SIMD sort and partition intrinsics
if (VM_Version::is_intel() && (VM_Version::supports_avx512dq() || VM_Version::supports_avx2())) {
void *libsimdsort = nullptr;
char ebuf_[1024];
char dll_name_simd_sort[JVM_MAXPATHLEN];
if (os::dll_locate_lib(dll_name_simd_sort, sizeof(dll_name_simd_sort), Arguments::get_dll_dir(), "simdsort")) {
libsimdsort = os::dll_load(dll_name_simd_sort, ebuf_, sizeof ebuf_);
}
// Get addresses for avx512 sort and partition routines
// Get addresses for SIMD sort and partition routines
if (libsimdsort != nullptr) {
log_info(library)("Loaded library %s, handle " INTPTR_FORMAT, JNI_LIB_PREFIX "simdsort" JNI_LIB_SUFFIX, p2i(libsimdsort));
snprintf(ebuf_, sizeof(ebuf_), "avx512_sort");
snprintf(ebuf_, sizeof(ebuf_), VM_Version::supports_avx512dq() ? "avx512_sort" : "avx2_sort");
StubRoutines::_array_sort = (address)os::dll_lookup(libsimdsort, ebuf_);
snprintf(ebuf_, sizeof(ebuf_), "avx512_partition");
snprintf(ebuf_, sizeof(ebuf_), VM_Version::supports_avx512dq() ? "avx512_partition" : "avx2_partition");
StubRoutines::_array_partition = (address)os::dll_lookup(libsimdsort, ebuf_);
}
}

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@ -858,7 +858,7 @@ void VM_Version::get_processor_features() {
// Check if processor has Intel Ecore
if (FLAG_IS_DEFAULT(EnableX86ECoreOpts) && is_intel() && cpu_family() == 6 &&
(_model == 0x97 || _model == 0xAC || _model == 0xAF)) {
(_model == 0x97 || _model == 0xAA || _model == 0xAC || _model == 0xAF)) {
FLAG_SET_DEFAULT(EnableX86ECoreOpts, true);
}

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@ -5387,6 +5387,10 @@ bool LibraryCallKit::inline_array_partition() {
const TypeInstPtr* elem_klass = gvn().type(elementType)->isa_instptr();
ciType* elem_type = elem_klass->const_oop()->as_instance()->java_mirror_type();
BasicType bt = elem_type->basic_type();
// Disable the intrinsic if the CPU does not support SIMD sort
if (!Matcher::supports_simd_sort(bt)) {
return false;
}
address stubAddr = nullptr;
stubAddr = StubRoutines::select_array_partition_function();
// stub not loaded
@ -5440,6 +5444,10 @@ bool LibraryCallKit::inline_array_sort() {
const TypeInstPtr* elem_klass = gvn().type(elementType)->isa_instptr();
ciType* elem_type = elem_klass->const_oop()->as_instance()->java_mirror_type();
BasicType bt = elem_type->basic_type();
// Disable the intrinsic if the CPU does not support SIMD sort
if (!Matcher::supports_simd_sort(bt)) {
return false;
}
address stubAddr = nullptr;
stubAddr = StubRoutines::select_arraysort_function();
//stub not loaded

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@ -0,0 +1,367 @@
/*
* Copyright (c) 2021, 2023, Intel Corporation. All rights reserved.
* Copyright (c) 2021 Serge Sans Paille. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
// This implementation is based on x86-simd-sort(https://github.com/intel/x86-simd-sort)
#ifndef AVX2_QSORT_32BIT
#define AVX2_QSORT_32BIT
#include "avx2-emu-funcs.hpp"
#include "xss-common-qsort.h"
/*
* Constants used in sorting 8 elements in a ymm registers. Based on Bitonic
* sorting network (see
* https://en.wikipedia.org/wiki/Bitonic_sorter#/media/File:BitonicSort.svg)
*/
// ymm 7, 6, 5, 4, 3, 2, 1, 0
#define NETWORK_32BIT_AVX2_1 4, 5, 6, 7, 0, 1, 2, 3
#define NETWORK_32BIT_AVX2_2 0, 1, 2, 3, 4, 5, 6, 7
#define NETWORK_32BIT_AVX2_3 5, 4, 7, 6, 1, 0, 3, 2
#define NETWORK_32BIT_AVX2_4 3, 2, 1, 0, 7, 6, 5, 4
/*
* Assumes ymm is random and performs a full sorting network defined in
* https://en.wikipedia.org/wiki/Bitonic_sorter#/media/File:BitonicSort.svg
*/
template <typename vtype, typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_INLINE reg_t sort_ymm_32bit(reg_t ymm) {
const typename vtype::opmask_t oxAA = _mm256_set_epi32(
0xFFFFFFFF, 0, 0xFFFFFFFF, 0, 0xFFFFFFFF, 0, 0xFFFFFFFF, 0);
const typename vtype::opmask_t oxCC = _mm256_set_epi32(
0xFFFFFFFF, 0xFFFFFFFF, 0, 0, 0xFFFFFFFF, 0xFFFFFFFF, 0, 0);
const typename vtype::opmask_t oxF0 = _mm256_set_epi32(
0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0, 0, 0, 0);
const typename vtype::ymmi_t rev_index = vtype::seti(NETWORK_32BIT_AVX2_2);
ymm = cmp_merge<vtype>(
ymm, vtype::template shuffle<SHUFFLE_MASK(2, 3, 0, 1)>(ymm), oxAA);
ymm = cmp_merge<vtype>(
ymm, vtype::permutexvar(vtype::seti(NETWORK_32BIT_AVX2_1), ymm), oxCC);
ymm = cmp_merge<vtype>(
ymm, vtype::template shuffle<SHUFFLE_MASK(2, 3, 0, 1)>(ymm), oxAA);
ymm = cmp_merge<vtype>(ymm, vtype::permutexvar(rev_index, ymm), oxF0);
ymm = cmp_merge<vtype>(
ymm, vtype::permutexvar(vtype::seti(NETWORK_32BIT_AVX2_3), ymm), oxCC);
ymm = cmp_merge<vtype>(
ymm, vtype::template shuffle<SHUFFLE_MASK(2, 3, 0, 1)>(ymm), oxAA);
return ymm;
}
struct avx2_32bit_swizzle_ops;
template <>
struct avx2_vector<int32_t> {
using type_t = int32_t;
using reg_t = __m256i;
using ymmi_t = __m256i;
using opmask_t = __m256i;
static const uint8_t numlanes = 8;
#ifdef XSS_MINIMAL_NETWORK_SORT
static constexpr int network_sort_threshold = numlanes;
#else
static constexpr int network_sort_threshold = 256;
#endif
static constexpr int partition_unroll_factor = 4;
using swizzle_ops = avx2_32bit_swizzle_ops;
static type_t type_max() { return X86_SIMD_SORT_MAX_INT32; }
static type_t type_min() { return X86_SIMD_SORT_MIN_INT32; }
static reg_t zmm_max() {
return _mm256_set1_epi32(type_max());
} // TODO: this should broadcast bits as is?
static opmask_t get_partial_loadmask(uint64_t num_to_read) {
auto mask = ((0x1ull << num_to_read) - 0x1ull);
return convert_int_to_avx2_mask(mask);
}
static ymmi_t seti(int v1, int v2, int v3, int v4, int v5, int v6, int v7,
int v8) {
return _mm256_set_epi32(v1, v2, v3, v4, v5, v6, v7, v8);
}
static opmask_t kxor_opmask(opmask_t x, opmask_t y) {
return _mm256_xor_si256(x, y);
}
static opmask_t ge(reg_t x, reg_t y) {
opmask_t equal = eq(x, y);
opmask_t greater = _mm256_cmpgt_epi32(x, y);
return _mm256_castps_si256(_mm256_or_ps(_mm256_castsi256_ps(equal),
_mm256_castsi256_ps(greater)));
}
static opmask_t gt(reg_t x, reg_t y) { return _mm256_cmpgt_epi32(x, y); }
static opmask_t eq(reg_t x, reg_t y) { return _mm256_cmpeq_epi32(x, y); }
template <int scale>
static reg_t mask_i64gather(reg_t src, opmask_t mask, __m256i index,
void const *base) {
return _mm256_mask_i32gather_epi32(src, base, index, mask, scale);
}
template <int scale>
static reg_t i64gather(__m256i index, void const *base) {
return _mm256_i32gather_epi32((int const *)base, index, scale);
}
static reg_t loadu(void const *mem) {
return _mm256_loadu_si256((reg_t const *)mem);
}
static reg_t max(reg_t x, reg_t y) { return _mm256_max_epi32(x, y); }
static void mask_compressstoreu(void *mem, opmask_t mask, reg_t x) {
return avx2_emu_mask_compressstoreu32<type_t>(mem, mask, x);
}
static reg_t maskz_loadu(opmask_t mask, void const *mem) {
return _mm256_maskload_epi32((const int *)mem, mask);
}
static reg_t mask_loadu(reg_t x, opmask_t mask, void const *mem) {
reg_t dst = _mm256_maskload_epi32((type_t *)mem, mask);
return mask_mov(x, mask, dst);
}
static reg_t mask_mov(reg_t x, opmask_t mask, reg_t y) {
return _mm256_castps_si256(_mm256_blendv_ps(_mm256_castsi256_ps(x),
_mm256_castsi256_ps(y),
_mm256_castsi256_ps(mask)));
}
static void mask_storeu(void *mem, opmask_t mask, reg_t x) {
return _mm256_maskstore_epi32((type_t *)mem, mask, x);
}
static reg_t min(reg_t x, reg_t y) { return _mm256_min_epi32(x, y); }
static reg_t permutexvar(__m256i idx, reg_t ymm) {
return _mm256_permutevar8x32_epi32(ymm, idx);
// return avx2_emu_permutexvar_epi32(idx, ymm);
}
static reg_t permutevar(reg_t ymm, __m256i idx) {
return _mm256_permutevar8x32_epi32(ymm, idx);
}
static reg_t reverse(reg_t ymm) {
const __m256i rev_index = _mm256_set_epi32(NETWORK_32BIT_AVX2_2);
return permutexvar(rev_index, ymm);
}
static type_t reducemax(reg_t v) {
return avx2_emu_reduce_max32<type_t>(v);
}
static type_t reducemin(reg_t v) {
return avx2_emu_reduce_min32<type_t>(v);
}
static reg_t set1(type_t v) { return _mm256_set1_epi32(v); }
template <uint8_t mask>
static reg_t shuffle(reg_t ymm) {
return _mm256_shuffle_epi32(ymm, mask);
}
static void storeu(void *mem, reg_t x) {
_mm256_storeu_si256((__m256i *)mem, x);
}
static reg_t sort_vec(reg_t x) {
return sort_ymm_32bit<avx2_vector<type_t>>(x);
}
static reg_t cast_from(__m256i v) { return v; }
static __m256i cast_to(reg_t v) { return v; }
static int double_compressstore(type_t *left_addr, type_t *right_addr,
opmask_t k, reg_t reg) {
return avx2_double_compressstore32<type_t>(left_addr, right_addr, k,
reg);
}
};
template <>
struct avx2_vector<float> {
using type_t = float;
using reg_t = __m256;
using ymmi_t = __m256i;
using opmask_t = __m256i;
static const uint8_t numlanes = 8;
#ifdef XSS_MINIMAL_NETWORK_SORT
static constexpr int network_sort_threshold = numlanes;
#else
static constexpr int network_sort_threshold = 256;
#endif
static constexpr int partition_unroll_factor = 4;
using swizzle_ops = avx2_32bit_swizzle_ops;
static type_t type_max() { return X86_SIMD_SORT_INFINITYF; }
static type_t type_min() { return -X86_SIMD_SORT_INFINITYF; }
static reg_t zmm_max() { return _mm256_set1_ps(type_max()); }
static ymmi_t seti(int v1, int v2, int v3, int v4, int v5, int v6, int v7,
int v8) {
return _mm256_set_epi32(v1, v2, v3, v4, v5, v6, v7, v8);
}
static reg_t maskz_loadu(opmask_t mask, void const *mem) {
return _mm256_maskload_ps((const float *)mem, mask);
}
static opmask_t ge(reg_t x, reg_t y) {
return _mm256_castps_si256(_mm256_cmp_ps(x, y, _CMP_GE_OQ));
}
static opmask_t gt(reg_t x, reg_t y) {
return _mm256_castps_si256(_mm256_cmp_ps(x, y, _CMP_GT_OQ));
}
static opmask_t eq(reg_t x, reg_t y) {
return _mm256_castps_si256(_mm256_cmp_ps(x, y, _CMP_EQ_OQ));
}
static opmask_t get_partial_loadmask(uint64_t num_to_read) {
auto mask = ((0x1ull << num_to_read) - 0x1ull);
return convert_int_to_avx2_mask(mask);
}
static int32_t convert_mask_to_int(opmask_t mask) {
return convert_avx2_mask_to_int(mask);
}
template <int type>
static opmask_t fpclass(reg_t x) {
if constexpr (type == (0x01 | 0x80)) {
return _mm256_castps_si256(_mm256_cmp_ps(x, x, _CMP_UNORD_Q));
} else {
static_assert(type == (0x01 | 0x80), "should not reach here");
}
}
template <int scale>
static reg_t mask_i64gather(reg_t src, opmask_t mask, __m256i index,
void const *base) {
return _mm256_mask_i32gather_ps(src, base, index,
_mm256_castsi256_ps(mask), scale);
;
}
template <int scale>
static reg_t i64gather(__m256i index, void const *base) {
return _mm256_i32gather_ps((float *)base, index, scale);
}
static reg_t loadu(void const *mem) {
return _mm256_loadu_ps((float const *)mem);
}
static reg_t max(reg_t x, reg_t y) { return _mm256_max_ps(x, y); }
static void mask_compressstoreu(void *mem, opmask_t mask, reg_t x) {
return avx2_emu_mask_compressstoreu32<type_t>(mem, mask, x);
}
static reg_t mask_loadu(reg_t x, opmask_t mask, void const *mem) {
reg_t dst = _mm256_maskload_ps((type_t *)mem, mask);
return mask_mov(x, mask, dst);
}
static reg_t mask_mov(reg_t x, opmask_t mask, reg_t y) {
return _mm256_blendv_ps(x, y, _mm256_castsi256_ps(mask));
}
static void mask_storeu(void *mem, opmask_t mask, reg_t x) {
return _mm256_maskstore_ps((type_t *)mem, mask, x);
}
static reg_t min(reg_t x, reg_t y) { return _mm256_min_ps(x, y); }
static reg_t permutexvar(__m256i idx, reg_t ymm) {
return _mm256_permutevar8x32_ps(ymm, idx);
}
static reg_t permutevar(reg_t ymm, __m256i idx) {
return _mm256_permutevar8x32_ps(ymm, idx);
}
static reg_t reverse(reg_t ymm) {
const __m256i rev_index = _mm256_set_epi32(NETWORK_32BIT_AVX2_2);
return permutexvar(rev_index, ymm);
}
static type_t reducemax(reg_t v) {
return avx2_emu_reduce_max32<type_t>(v);
}
static type_t reducemin(reg_t v) {
return avx2_emu_reduce_min32<type_t>(v);
}
static reg_t set1(type_t v) { return _mm256_set1_ps(v); }
template <uint8_t mask>
static reg_t shuffle(reg_t ymm) {
return _mm256_castsi256_ps(
_mm256_shuffle_epi32(_mm256_castps_si256(ymm), mask));
}
static void storeu(void *mem, reg_t x) {
_mm256_storeu_ps((float *)mem, x);
}
static reg_t sort_vec(reg_t x) {
return sort_ymm_32bit<avx2_vector<type_t>>(x);
}
static reg_t cast_from(__m256i v) { return _mm256_castsi256_ps(v); }
static __m256i cast_to(reg_t v) { return _mm256_castps_si256(v); }
static int double_compressstore(type_t *left_addr, type_t *right_addr,
opmask_t k, reg_t reg) {
return avx2_double_compressstore32<type_t>(left_addr, right_addr, k,
reg);
}
};
struct avx2_32bit_swizzle_ops {
template <typename vtype, int scale>
X86_SIMD_SORT_INLINE typename vtype::reg_t swap_n(
typename vtype::reg_t reg) {
__m256i v = vtype::cast_to(reg);
if constexpr (scale == 2) {
__m256 vf = _mm256_castsi256_ps(v);
vf = _mm256_permute_ps(vf, 0b10110001);
v = _mm256_castps_si256(vf);
} else if constexpr (scale == 4) {
__m256 vf = _mm256_castsi256_ps(v);
vf = _mm256_permute_ps(vf, 0b01001110);
v = _mm256_castps_si256(vf);
} else if constexpr (scale == 8) {
v = _mm256_permute2x128_si256(v, v, 0b00000001);
} else {
static_assert(scale == -1, "should not be reached");
}
return vtype::cast_from(v);
}
template <typename vtype, int scale>
X86_SIMD_SORT_INLINE typename vtype::reg_t reverse_n(
typename vtype::reg_t reg) {
__m256i v = vtype::cast_to(reg);
if constexpr (scale == 2) {
return swap_n<vtype, 2>(reg);
} else if constexpr (scale == 4) {
constexpr uint64_t mask = 0b00011011;
__m256 vf = _mm256_castsi256_ps(v);
vf = _mm256_permute_ps(vf, mask);
v = _mm256_castps_si256(vf);
} else if constexpr (scale == 8) {
return vtype::reverse(reg);
} else {
static_assert(scale == -1, "should not be reached");
}
return vtype::cast_from(v);
}
template <typename vtype, int scale>
X86_SIMD_SORT_INLINE typename vtype::reg_t merge_n(
typename vtype::reg_t reg, typename vtype::reg_t other) {
__m256i v1 = vtype::cast_to(reg);
__m256i v2 = vtype::cast_to(other);
if constexpr (scale == 2) {
v1 = _mm256_blend_epi32(v1, v2, 0b01010101);
} else if constexpr (scale == 4) {
v1 = _mm256_blend_epi32(v1, v2, 0b00110011);
} else if constexpr (scale == 8) {
v1 = _mm256_blend_epi32(v1, v2, 0b00001111);
} else {
static_assert(scale == -1, "should not be reached");
}
return vtype::cast_from(v1);
}
};
#endif // AVX2_QSORT_32BIT

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@ -0,0 +1,183 @@
/*
* Copyright (c) 2021, 2023, Intel Corporation. All rights reserved.
* Copyright (c) 2021 Serge Sans Paille. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
// This implementation is based on x86-simd-sort(https://github.com/intel/x86-simd-sort)
#ifndef AVX2_EMU_FUNCS
#define AVX2_EMU_FUNCS
#include <array>
#include <utility>
#include "xss-common-qsort.h"
constexpr auto avx2_mask_helper_lut32 = [] {
std::array<std::array<int32_t, 8>, 256> lut{};
for (int64_t i = 0; i <= 0xFF; i++) {
std::array<int32_t, 8> entry{};
for (int j = 0; j < 8; j++) {
if (((i >> j) & 1) == 1)
entry[j] = 0xFFFFFFFF;
else
entry[j] = 0;
}
lut[i] = entry;
}
return lut;
}();
constexpr auto avx2_compressstore_lut32_gen = [] {
std::array<std::array<std::array<int32_t, 8>, 256>, 2> lutPair{};
auto &permLut = lutPair[0];
auto &leftLut = lutPair[1];
for (int64_t i = 0; i <= 0xFF; i++) {
std::array<int32_t, 8> indices{};
std::array<int32_t, 8> leftEntry = {0, 0, 0, 0, 0, 0, 0, 0};
int right = 7;
int left = 0;
for (int j = 0; j < 8; j++) {
bool ge = (i >> j) & 1;
if (ge) {
indices[right] = j;
right--;
} else {
indices[left] = j;
leftEntry[left] = 0xFFFFFFFF;
left++;
}
}
permLut[i] = indices;
leftLut[i] = leftEntry;
}
return lutPair;
}();
constexpr auto avx2_compressstore_lut32_perm = avx2_compressstore_lut32_gen[0];
constexpr auto avx2_compressstore_lut32_left = avx2_compressstore_lut32_gen[1];
X86_SIMD_SORT_INLINE
__m256i convert_int_to_avx2_mask(int32_t m) {
return _mm256_loadu_si256(
(const __m256i *)avx2_mask_helper_lut32[m].data());
}
X86_SIMD_SORT_INLINE
int32_t convert_avx2_mask_to_int(__m256i m) {
return _mm256_movemask_ps(_mm256_castsi256_ps(m));
}
// Emulators for intrinsics missing from AVX2 compared to AVX512
template <typename T>
T avx2_emu_reduce_max32(typename avx2_vector<T>::reg_t x) {
using vtype = avx2_vector<T>;
using reg_t = typename vtype::reg_t;
reg_t inter1 =
vtype::max(x, vtype::template shuffle<SHUFFLE_MASK(2, 3, 0, 1)>(x));
reg_t inter2 = vtype::max(
inter1, vtype::template shuffle<SHUFFLE_MASK(1, 0, 3, 2)>(inter1));
T arr[vtype::numlanes];
vtype::storeu(arr, inter2);
return std::max(arr[0], arr[7]);
}
template <typename T>
T avx2_emu_reduce_min32(typename avx2_vector<T>::reg_t x) {
using vtype = avx2_vector<T>;
using reg_t = typename vtype::reg_t;
reg_t inter1 =
vtype::min(x, vtype::template shuffle<SHUFFLE_MASK(2, 3, 0, 1)>(x));
reg_t inter2 = vtype::min(
inter1, vtype::template shuffle<SHUFFLE_MASK(1, 0, 3, 2)>(inter1));
T arr[vtype::numlanes];
vtype::storeu(arr, inter2);
return std::min(arr[0], arr[7]);
}
template <typename T>
void avx2_emu_mask_compressstoreu32(void *base_addr,
typename avx2_vector<T>::opmask_t k,
typename avx2_vector<T>::reg_t reg) {
using vtype = avx2_vector<T>;
T *leftStore = (T *)base_addr;
int32_t shortMask = convert_avx2_mask_to_int(k);
const __m256i &perm = _mm256_loadu_si256(
(const __m256i *)avx2_compressstore_lut32_perm[shortMask].data());
const __m256i &left = _mm256_loadu_si256(
(const __m256i *)avx2_compressstore_lut32_left[shortMask].data());
typename vtype::reg_t temp = vtype::permutevar(reg, perm);
vtype::mask_storeu(leftStore, left, temp);
}
template <typename T>
int avx2_double_compressstore32(void *left_addr, void *right_addr,
typename avx2_vector<T>::opmask_t k,
typename avx2_vector<T>::reg_t reg) {
using vtype = avx2_vector<T>;
T *leftStore = (T *)left_addr;
T *rightStore = (T *)right_addr;
int32_t shortMask = convert_avx2_mask_to_int(k);
const __m256i &perm = _mm256_loadu_si256(
(const __m256i *)avx2_compressstore_lut32_perm[shortMask].data());
typename vtype::reg_t temp = vtype::permutevar(reg, perm);
vtype::storeu(leftStore, temp);
vtype::storeu(rightStore, temp);
return _mm_popcnt_u32(shortMask);
}
template <typename T>
typename avx2_vector<T>::reg_t avx2_emu_max(typename avx2_vector<T>::reg_t x,
typename avx2_vector<T>::reg_t y) {
using vtype = avx2_vector<T>;
typename vtype::opmask_t nlt = vtype::gt(x, y);
return _mm256_castpd_si256(_mm256_blendv_pd(_mm256_castsi256_pd(y),
_mm256_castsi256_pd(x),
_mm256_castsi256_pd(nlt)));
}
template <typename T>
typename avx2_vector<T>::reg_t avx2_emu_min(typename avx2_vector<T>::reg_t x,
typename avx2_vector<T>::reg_t y) {
using vtype = avx2_vector<T>;
typename vtype::opmask_t nlt = vtype::gt(x, y);
return _mm256_castpd_si256(_mm256_blendv_pd(_mm256_castsi256_pd(x),
_mm256_castsi256_pd(y),
_mm256_castsi256_pd(nlt)));
}
#endif

View File

@ -0,0 +1,66 @@
/*
* Copyright (c) 2023 Intel Corporation. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
#include "simdsort-support.hpp"
#ifdef __SIMDSORT_SUPPORTED_LINUX
#pragma GCC target("avx2")
#include "avx2-32bit-qsort.hpp"
#include "classfile_constants.h"
#define DLL_PUBLIC __attribute__((visibility("default")))
#define INSERTION_SORT_THRESHOLD_32BIT 16
extern "C" {
DLL_PUBLIC void avx2_sort(void *array, int elem_type, int32_t from_index, int32_t to_index) {
switch(elem_type) {
case JVM_T_INT:
avx2_fast_sort((int32_t*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_32BIT);
break;
case JVM_T_FLOAT:
avx2_fast_sort((float*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_32BIT);
break;
default:
assert(false, "Unexpected type");
}
}
DLL_PUBLIC void avx2_partition(void *array, int elem_type, int32_t from_index, int32_t to_index, int32_t *pivot_indices, int32_t index_pivot1, int32_t index_pivot2) {
switch(elem_type) {
case JVM_T_INT:
avx2_fast_partition((int32_t*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
break;
case JVM_T_FLOAT:
avx2_fast_partition((float*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
break;
default:
assert(false, "Unexpected type");
}
}
}
#endif

View File

@ -28,7 +28,7 @@
#ifndef AVX512_QSORT_32BIT
#define AVX512_QSORT_32BIT
#include "avx512-common-qsort.h"
#include "xss-common-qsort.h"
/*
* Constants used in sorting 16 elements in a ZMM registers. Based on Bitonic
@ -43,130 +43,204 @@
#define NETWORK_32BIT_6 11, 10, 9, 8, 15, 14, 13, 12, 3, 2, 1, 0, 7, 6, 5, 4
#define NETWORK_32BIT_7 7, 6, 5, 4, 3, 2, 1, 0, 15, 14, 13, 12, 11, 10, 9, 8
template <typename vtype, typename reg_t>
X86_SIMD_SORT_INLINE reg_t sort_zmm_32bit(reg_t zmm);
struct avx512_32bit_swizzle_ops;
template <>
struct zmm_vector<int32_t> {
using type_t = int32_t;
using zmm_t = __m512i;
using ymm_t = __m256i;
using reg_t = __m512i;
using halfreg_t = __m256i;
using opmask_t = __mmask16;
static const uint8_t numlanes = 16;
#ifdef XSS_MINIMAL_NETWORK_SORT
static constexpr int network_sort_threshold = numlanes;
#else
static constexpr int network_sort_threshold = 512;
#endif
static constexpr int partition_unroll_factor = 8;
using swizzle_ops = avx512_32bit_swizzle_ops;
static type_t type_max() { return X86_SIMD_SORT_MAX_INT32; }
static type_t type_min() { return X86_SIMD_SORT_MIN_INT32; }
static zmm_t zmm_max() { return _mm512_set1_epi32(type_max()); }
static reg_t zmm_max() { return _mm512_set1_epi32(type_max()); }
static opmask_t knot_opmask(opmask_t x) { return _mm512_knot(x); }
static opmask_t ge(zmm_t x, zmm_t y) {
static opmask_t ge(reg_t x, reg_t y) {
return _mm512_cmp_epi32_mask(x, y, _MM_CMPINT_NLT);
}
static opmask_t gt(zmm_t x, zmm_t y) {
static opmask_t gt(reg_t x, reg_t y) {
return _mm512_cmp_epi32_mask(x, y, _MM_CMPINT_GT);
}
static opmask_t get_partial_loadmask(uint64_t num_to_read) {
return ((0x1ull << num_to_read) - 0x1ull);
}
template <int scale>
static ymm_t i64gather(__m512i index, void const *base) {
static halfreg_t i64gather(__m512i index, void const *base) {
return _mm512_i64gather_epi32(index, base, scale);
}
static zmm_t merge(ymm_t y1, ymm_t y2) {
zmm_t z1 = _mm512_castsi256_si512(y1);
static reg_t merge(halfreg_t y1, halfreg_t y2) {
reg_t z1 = _mm512_castsi256_si512(y1);
return _mm512_inserti32x8(z1, y2, 1);
}
static zmm_t loadu(void const *mem) { return _mm512_loadu_si512(mem); }
static void mask_compressstoreu(void *mem, opmask_t mask, zmm_t x) {
static reg_t loadu(void const *mem) { return _mm512_loadu_si512(mem); }
static void mask_compressstoreu(void *mem, opmask_t mask, reg_t x) {
return _mm512_mask_compressstoreu_epi32(mem, mask, x);
}
static zmm_t mask_loadu(zmm_t x, opmask_t mask, void const *mem) {
static reg_t mask_loadu(reg_t x, opmask_t mask, void const *mem) {
return _mm512_mask_loadu_epi32(x, mask, mem);
}
static zmm_t mask_mov(zmm_t x, opmask_t mask, zmm_t y) {
static reg_t mask_mov(reg_t x, opmask_t mask, reg_t y) {
return _mm512_mask_mov_epi32(x, mask, y);
}
static void mask_storeu(void *mem, opmask_t mask, zmm_t x) {
static void mask_storeu(void *mem, opmask_t mask, reg_t x) {
return _mm512_mask_storeu_epi32(mem, mask, x);
}
static zmm_t min(zmm_t x, zmm_t y) { return _mm512_min_epi32(x, y); }
static zmm_t max(zmm_t x, zmm_t y) { return _mm512_max_epi32(x, y); }
static zmm_t permutexvar(__m512i idx, zmm_t zmm) {
static reg_t min(reg_t x, reg_t y) { return _mm512_min_epi32(x, y); }
static reg_t max(reg_t x, reg_t y) { return _mm512_max_epi32(x, y); }
static reg_t permutexvar(__m512i idx, reg_t zmm) {
return _mm512_permutexvar_epi32(idx, zmm);
}
static type_t reducemax(zmm_t v) { return _mm512_reduce_max_epi32(v); }
static type_t reducemin(zmm_t v) { return _mm512_reduce_min_epi32(v); }
static zmm_t set1(type_t v) { return _mm512_set1_epi32(v); }
static type_t reducemax(reg_t v) { return _mm512_reduce_max_epi32(v); }
static type_t reducemin(reg_t v) { return _mm512_reduce_min_epi32(v); }
static reg_t set1(type_t v) { return _mm512_set1_epi32(v); }
template <uint8_t mask>
static zmm_t shuffle(zmm_t zmm) {
static reg_t shuffle(reg_t zmm) {
return _mm512_shuffle_epi32(zmm, (_MM_PERM_ENUM)mask);
}
static void storeu(void *mem, zmm_t x) {
static void storeu(void *mem, reg_t x) {
return _mm512_storeu_si512(mem, x);
}
static ymm_t max(ymm_t x, ymm_t y) { return _mm256_max_epi32(x, y); }
static ymm_t min(ymm_t x, ymm_t y) { return _mm256_min_epi32(x, y); }
static halfreg_t max(halfreg_t x, halfreg_t y) {
return _mm256_max_epi32(x, y);
}
static halfreg_t min(halfreg_t x, halfreg_t y) {
return _mm256_min_epi32(x, y);
}
static reg_t reverse(reg_t zmm) {
const auto rev_index = _mm512_set_epi32(NETWORK_32BIT_5);
return permutexvar(rev_index, zmm);
}
static reg_t sort_vec(reg_t x) {
return sort_zmm_32bit<zmm_vector<type_t>>(x);
}
static reg_t cast_from(__m512i v) { return v; }
static __m512i cast_to(reg_t v) { return v; }
static int double_compressstore(type_t *left_addr, type_t *right_addr,
opmask_t k, reg_t reg) {
return avx512_double_compressstore<zmm_vector<type_t>>(
left_addr, right_addr, k, reg);
}
};
template <>
struct zmm_vector<float> {
using type_t = float;
using zmm_t = __m512;
using ymm_t = __m256;
using reg_t = __m512;
using halfreg_t = __m256;
using opmask_t = __mmask16;
static const uint8_t numlanes = 16;
#ifdef XSS_MINIMAL_NETWORK_SORT
static constexpr int network_sort_threshold = numlanes;
#else
static constexpr int network_sort_threshold = 512;
#endif
static constexpr int partition_unroll_factor = 8;
using swizzle_ops = avx512_32bit_swizzle_ops;
static type_t type_max() { return X86_SIMD_SORT_INFINITYF; }
static type_t type_min() { return -X86_SIMD_SORT_INFINITYF; }
static zmm_t zmm_max() { return _mm512_set1_ps(type_max()); }
static reg_t zmm_max() { return _mm512_set1_ps(type_max()); }
static opmask_t knot_opmask(opmask_t x) { return _mm512_knot(x); }
static opmask_t ge(zmm_t x, zmm_t y) {
static opmask_t ge(reg_t x, reg_t y) {
return _mm512_cmp_ps_mask(x, y, _CMP_GE_OQ);
}
static opmask_t gt(zmm_t x, zmm_t y) {
static opmask_t gt(reg_t x, reg_t y) {
return _mm512_cmp_ps_mask(x, y, _CMP_GT_OQ);
}
static opmask_t get_partial_loadmask(uint64_t num_to_read) {
return ((0x1ull << num_to_read) - 0x1ull);
}
static int32_t convert_mask_to_int(opmask_t mask) { return mask; }
template <int type>
static opmask_t fpclass(reg_t x) {
return _mm512_fpclass_ps_mask(x, type);
}
template <int scale>
static ymm_t i64gather(__m512i index, void const *base) {
static halfreg_t i64gather(__m512i index, void const *base) {
return _mm512_i64gather_ps(index, base, scale);
}
static zmm_t merge(ymm_t y1, ymm_t y2) {
zmm_t z1 = _mm512_castsi512_ps(
static reg_t merge(halfreg_t y1, halfreg_t y2) {
reg_t z1 = _mm512_castsi512_ps(
_mm512_castsi256_si512(_mm256_castps_si256(y1)));
return _mm512_insertf32x8(z1, y2, 1);
}
static zmm_t loadu(void const *mem) { return _mm512_loadu_ps(mem); }
static zmm_t max(zmm_t x, zmm_t y) { return _mm512_max_ps(x, y); }
static void mask_compressstoreu(void *mem, opmask_t mask, zmm_t x) {
static reg_t loadu(void const *mem) { return _mm512_loadu_ps(mem); }
static reg_t max(reg_t x, reg_t y) { return _mm512_max_ps(x, y); }
static void mask_compressstoreu(void *mem, opmask_t mask, reg_t x) {
return _mm512_mask_compressstoreu_ps(mem, mask, x);
}
static zmm_t mask_loadu(zmm_t x, opmask_t mask, void const *mem) {
static reg_t maskz_loadu(opmask_t mask, void const *mem) {
return _mm512_maskz_loadu_ps(mask, mem);
}
static reg_t mask_loadu(reg_t x, opmask_t mask, void const *mem) {
return _mm512_mask_loadu_ps(x, mask, mem);
}
static zmm_t mask_mov(zmm_t x, opmask_t mask, zmm_t y) {
static reg_t mask_mov(reg_t x, opmask_t mask, reg_t y) {
return _mm512_mask_mov_ps(x, mask, y);
}
static void mask_storeu(void *mem, opmask_t mask, zmm_t x) {
static void mask_storeu(void *mem, opmask_t mask, reg_t x) {
return _mm512_mask_storeu_ps(mem, mask, x);
}
static zmm_t min(zmm_t x, zmm_t y) { return _mm512_min_ps(x, y); }
static zmm_t permutexvar(__m512i idx, zmm_t zmm) {
static reg_t min(reg_t x, reg_t y) { return _mm512_min_ps(x, y); }
static reg_t permutexvar(__m512i idx, reg_t zmm) {
return _mm512_permutexvar_ps(idx, zmm);
}
static type_t reducemax(zmm_t v) { return _mm512_reduce_max_ps(v); }
static type_t reducemin(zmm_t v) { return _mm512_reduce_min_ps(v); }
static zmm_t set1(type_t v) { return _mm512_set1_ps(v); }
static type_t reducemax(reg_t v) { return _mm512_reduce_max_ps(v); }
static type_t reducemin(reg_t v) { return _mm512_reduce_min_ps(v); }
static reg_t set1(type_t v) { return _mm512_set1_ps(v); }
template <uint8_t mask>
static zmm_t shuffle(zmm_t zmm) {
static reg_t shuffle(reg_t zmm) {
return _mm512_shuffle_ps(zmm, zmm, (_MM_PERM_ENUM)mask);
}
static void storeu(void *mem, zmm_t x) { return _mm512_storeu_ps(mem, x); }
static void storeu(void *mem, reg_t x) { return _mm512_storeu_ps(mem, x); }
static ymm_t max(ymm_t x, ymm_t y) { return _mm256_max_ps(x, y); }
static ymm_t min(ymm_t x, ymm_t y) { return _mm256_min_ps(x, y); }
static halfreg_t max(halfreg_t x, halfreg_t y) {
return _mm256_max_ps(x, y);
}
static halfreg_t min(halfreg_t x, halfreg_t y) {
return _mm256_min_ps(x, y);
}
static reg_t reverse(reg_t zmm) {
const auto rev_index = _mm512_set_epi32(NETWORK_32BIT_5);
return permutexvar(rev_index, zmm);
}
static reg_t sort_vec(reg_t x) {
return sort_zmm_32bit<zmm_vector<type_t>>(x);
}
static reg_t cast_from(__m512i v) { return _mm512_castsi512_ps(v); }
static __m512i cast_to(reg_t v) { return _mm512_castps_si512(v); }
static int double_compressstore(type_t *left_addr, type_t *right_addr,
opmask_t k, reg_t reg) {
return avx512_double_compressstore<zmm_vector<type_t>>(
left_addr, right_addr, k, reg);
}
};
/*
* Assumes zmm is random and performs a full sorting network defined in
* https://en.wikipedia.org/wiki/Bitonic_sorter#/media/File:BitonicSort.svg
*/
template <typename vtype, typename zmm_t = typename vtype::zmm_t>
X86_SIMD_SORT_INLINE zmm_t sort_zmm_32bit(zmm_t zmm) {
template <typename vtype, typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_INLINE reg_t sort_zmm_32bit(reg_t zmm) {
zmm = cmp_merge<vtype>(
zmm, vtype::template shuffle<SHUFFLE_MASK(2, 3, 0, 1)>(zmm), 0xAAAA);
zmm = cmp_merge<vtype>(
@ -193,249 +267,71 @@ X86_SIMD_SORT_INLINE zmm_t sort_zmm_32bit(zmm_t zmm) {
return zmm;
}
// Assumes zmm is bitonic and performs a recursive half cleaner
template <typename vtype, typename zmm_t = typename vtype::zmm_t>
X86_SIMD_SORT_INLINE zmm_t bitonic_merge_zmm_32bit(zmm_t zmm) {
// 1) half_cleaner[16]: compare 1-9, 2-10, 3-11 etc ..
zmm = cmp_merge<vtype>(
zmm, vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_7), zmm),
0xFF00);
// 2) half_cleaner[8]: compare 1-5, 2-6, 3-7 etc ..
zmm = cmp_merge<vtype>(
zmm, vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_6), zmm),
0xF0F0);
// 3) half_cleaner[4]
zmm = cmp_merge<vtype>(
zmm, vtype::template shuffle<SHUFFLE_MASK(1, 0, 3, 2)>(zmm), 0xCCCC);
// 3) half_cleaner[1]
zmm = cmp_merge<vtype>(
zmm, vtype::template shuffle<SHUFFLE_MASK(2, 3, 0, 1)>(zmm), 0xAAAA);
return zmm;
}
struct avx512_32bit_swizzle_ops {
template <typename vtype, int scale>
X86_SIMD_SORT_INLINE typename vtype::reg_t swap_n(
typename vtype::reg_t reg) {
__m512i v = vtype::cast_to(reg);
// Assumes zmm1 and zmm2 are sorted and performs a recursive half cleaner
template <typename vtype, typename zmm_t = typename vtype::zmm_t>
X86_SIMD_SORT_INLINE void bitonic_merge_two_zmm_32bit(zmm_t *zmm1,
zmm_t *zmm2) {
// 1) First step of a merging network: coex of zmm1 and zmm2 reversed
*zmm2 = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5), *zmm2);
zmm_t zmm3 = vtype::min(*zmm1, *zmm2);
zmm_t zmm4 = vtype::max(*zmm1, *zmm2);
// 2) Recursive half cleaner for each
*zmm1 = bitonic_merge_zmm_32bit<vtype>(zmm3);
*zmm2 = bitonic_merge_zmm_32bit<vtype>(zmm4);
}
if constexpr (scale == 2) {
v = _mm512_shuffle_epi32(v, (_MM_PERM_ENUM)0b10110001);
} else if constexpr (scale == 4) {
v = _mm512_shuffle_epi32(v, (_MM_PERM_ENUM)0b01001110);
} else if constexpr (scale == 8) {
v = _mm512_shuffle_i64x2(v, v, 0b10110001);
} else if constexpr (scale == 16) {
v = _mm512_shuffle_i64x2(v, v, 0b01001110);
} else {
static_assert(scale == -1, "should not be reached");
}
// Assumes [zmm0, zmm1] and [zmm2, zmm3] are sorted and performs a recursive
// half cleaner
template <typename vtype, typename zmm_t = typename vtype::zmm_t>
X86_SIMD_SORT_INLINE void bitonic_merge_four_zmm_32bit(zmm_t *zmm) {
zmm_t zmm2r = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5), zmm[2]);
zmm_t zmm3r = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5), zmm[3]);
zmm_t zmm_t1 = vtype::min(zmm[0], zmm3r);
zmm_t zmm_t2 = vtype::min(zmm[1], zmm2r);
zmm_t zmm_t3 = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5),
vtype::max(zmm[1], zmm2r));
zmm_t zmm_t4 = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5),
vtype::max(zmm[0], zmm3r));
zmm_t zmm0 = vtype::min(zmm_t1, zmm_t2);
zmm_t zmm1 = vtype::max(zmm_t1, zmm_t2);
zmm_t zmm2 = vtype::min(zmm_t3, zmm_t4);
zmm_t zmm3 = vtype::max(zmm_t3, zmm_t4);
zmm[0] = bitonic_merge_zmm_32bit<vtype>(zmm0);
zmm[1] = bitonic_merge_zmm_32bit<vtype>(zmm1);
zmm[2] = bitonic_merge_zmm_32bit<vtype>(zmm2);
zmm[3] = bitonic_merge_zmm_32bit<vtype>(zmm3);
}
template <typename vtype, typename zmm_t = typename vtype::zmm_t>
X86_SIMD_SORT_INLINE void bitonic_merge_eight_zmm_32bit(zmm_t *zmm) {
zmm_t zmm4r = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5), zmm[4]);
zmm_t zmm5r = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5), zmm[5]);
zmm_t zmm6r = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5), zmm[6]);
zmm_t zmm7r = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5), zmm[7]);
zmm_t zmm_t1 = vtype::min(zmm[0], zmm7r);
zmm_t zmm_t2 = vtype::min(zmm[1], zmm6r);
zmm_t zmm_t3 = vtype::min(zmm[2], zmm5r);
zmm_t zmm_t4 = vtype::min(zmm[3], zmm4r);
zmm_t zmm_t5 = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5),
vtype::max(zmm[3], zmm4r));
zmm_t zmm_t6 = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5),
vtype::max(zmm[2], zmm5r));
zmm_t zmm_t7 = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5),
vtype::max(zmm[1], zmm6r));
zmm_t zmm_t8 = vtype::permutexvar(_mm512_set_epi32(NETWORK_32BIT_5),
vtype::max(zmm[0], zmm7r));
COEX<vtype>(zmm_t1, zmm_t3);
COEX<vtype>(zmm_t2, zmm_t4);
COEX<vtype>(zmm_t5, zmm_t7);
COEX<vtype>(zmm_t6, zmm_t8);
COEX<vtype>(zmm_t1, zmm_t2);
COEX<vtype>(zmm_t3, zmm_t4);
COEX<vtype>(zmm_t5, zmm_t6);
COEX<vtype>(zmm_t7, zmm_t8);
zmm[0] = bitonic_merge_zmm_32bit<vtype>(zmm_t1);
zmm[1] = bitonic_merge_zmm_32bit<vtype>(zmm_t2);
zmm[2] = bitonic_merge_zmm_32bit<vtype>(zmm_t3);
zmm[3] = bitonic_merge_zmm_32bit<vtype>(zmm_t4);
zmm[4] = bitonic_merge_zmm_32bit<vtype>(zmm_t5);
zmm[5] = bitonic_merge_zmm_32bit<vtype>(zmm_t6);
zmm[6] = bitonic_merge_zmm_32bit<vtype>(zmm_t7);
zmm[7] = bitonic_merge_zmm_32bit<vtype>(zmm_t8);
}
template <typename vtype, typename type_t>
X86_SIMD_SORT_INLINE void sort_16_32bit(type_t *arr, int32_t N) {
typename vtype::opmask_t load_mask = (0x0001 << N) - 0x0001;
typename vtype::zmm_t zmm =
vtype::mask_loadu(vtype::zmm_max(), load_mask, arr);
vtype::mask_storeu(arr, load_mask, sort_zmm_32bit<vtype>(zmm));
}
template <typename vtype, typename type_t>
X86_SIMD_SORT_INLINE void sort_32_32bit(type_t *arr, int32_t N) {
if (N <= 16) {
sort_16_32bit<vtype>(arr, N);
return;
}
using zmm_t = typename vtype::zmm_t;
zmm_t zmm1 = vtype::loadu(arr);
typename vtype::opmask_t load_mask = (0x0001 << (N - 16)) - 0x0001;
zmm_t zmm2 = vtype::mask_loadu(vtype::zmm_max(), load_mask, arr + 16);
zmm1 = sort_zmm_32bit<vtype>(zmm1);
zmm2 = sort_zmm_32bit<vtype>(zmm2);
bitonic_merge_two_zmm_32bit<vtype>(&zmm1, &zmm2);
vtype::storeu(arr, zmm1);
vtype::mask_storeu(arr + 16, load_mask, zmm2);
}
template <typename vtype, typename type_t>
X86_SIMD_SORT_INLINE void sort_64_32bit(type_t *arr, int32_t N) {
if (N <= 32) {
sort_32_32bit<vtype>(arr, N);
return;
}
using zmm_t = typename vtype::zmm_t;
using opmask_t = typename vtype::opmask_t;
zmm_t zmm[4];
zmm[0] = vtype::loadu(arr);
zmm[1] = vtype::loadu(arr + 16);
opmask_t load_mask1 = 0xFFFF, load_mask2 = 0xFFFF;
uint64_t combined_mask = (0x1ull << (N - 32)) - 0x1ull;
load_mask1 &= combined_mask & 0xFFFF;
load_mask2 &= (combined_mask >> 16) & 0xFFFF;
zmm[2] = vtype::mask_loadu(vtype::zmm_max(), load_mask1, arr + 32);
zmm[3] = vtype::mask_loadu(vtype::zmm_max(), load_mask2, arr + 48);
zmm[0] = sort_zmm_32bit<vtype>(zmm[0]);
zmm[1] = sort_zmm_32bit<vtype>(zmm[1]);
zmm[2] = sort_zmm_32bit<vtype>(zmm[2]);
zmm[3] = sort_zmm_32bit<vtype>(zmm[3]);
bitonic_merge_two_zmm_32bit<vtype>(&zmm[0], &zmm[1]);
bitonic_merge_two_zmm_32bit<vtype>(&zmm[2], &zmm[3]);
bitonic_merge_four_zmm_32bit<vtype>(zmm);
vtype::storeu(arr, zmm[0]);
vtype::storeu(arr + 16, zmm[1]);
vtype::mask_storeu(arr + 32, load_mask1, zmm[2]);
vtype::mask_storeu(arr + 48, load_mask2, zmm[3]);
}
template <typename vtype, typename type_t>
X86_SIMD_SORT_INLINE void sort_128_32bit(type_t *arr, int32_t N) {
if (N <= 64) {
sort_64_32bit<vtype>(arr, N);
return;
}
using zmm_t = typename vtype::zmm_t;
using opmask_t = typename vtype::opmask_t;
zmm_t zmm[8];
zmm[0] = vtype::loadu(arr);
zmm[1] = vtype::loadu(arr + 16);
zmm[2] = vtype::loadu(arr + 32);
zmm[3] = vtype::loadu(arr + 48);
zmm[0] = sort_zmm_32bit<vtype>(zmm[0]);
zmm[1] = sort_zmm_32bit<vtype>(zmm[1]);
zmm[2] = sort_zmm_32bit<vtype>(zmm[2]);
zmm[3] = sort_zmm_32bit<vtype>(zmm[3]);
opmask_t load_mask1 = 0xFFFF, load_mask2 = 0xFFFF;
opmask_t load_mask3 = 0xFFFF, load_mask4 = 0xFFFF;
if (N != 128) {
uint64_t combined_mask = (0x1ull << (N - 64)) - 0x1ull;
load_mask1 &= combined_mask & 0xFFFF;
load_mask2 &= (combined_mask >> 16) & 0xFFFF;
load_mask3 &= (combined_mask >> 32) & 0xFFFF;
load_mask4 &= (combined_mask >> 48) & 0xFFFF;
}
zmm[4] = vtype::mask_loadu(vtype::zmm_max(), load_mask1, arr + 64);
zmm[5] = vtype::mask_loadu(vtype::zmm_max(), load_mask2, arr + 80);
zmm[6] = vtype::mask_loadu(vtype::zmm_max(), load_mask3, arr + 96);
zmm[7] = vtype::mask_loadu(vtype::zmm_max(), load_mask4, arr + 112);
zmm[4] = sort_zmm_32bit<vtype>(zmm[4]);
zmm[5] = sort_zmm_32bit<vtype>(zmm[5]);
zmm[6] = sort_zmm_32bit<vtype>(zmm[6]);
zmm[7] = sort_zmm_32bit<vtype>(zmm[7]);
bitonic_merge_two_zmm_32bit<vtype>(&zmm[0], &zmm[1]);
bitonic_merge_two_zmm_32bit<vtype>(&zmm[2], &zmm[3]);
bitonic_merge_two_zmm_32bit<vtype>(&zmm[4], &zmm[5]);
bitonic_merge_two_zmm_32bit<vtype>(&zmm[6], &zmm[7]);
bitonic_merge_four_zmm_32bit<vtype>(zmm);
bitonic_merge_four_zmm_32bit<vtype>(zmm + 4);
bitonic_merge_eight_zmm_32bit<vtype>(zmm);
vtype::storeu(arr, zmm[0]);
vtype::storeu(arr + 16, zmm[1]);
vtype::storeu(arr + 32, zmm[2]);
vtype::storeu(arr + 48, zmm[3]);
vtype::mask_storeu(arr + 64, load_mask1, zmm[4]);
vtype::mask_storeu(arr + 80, load_mask2, zmm[5]);
vtype::mask_storeu(arr + 96, load_mask3, zmm[6]);
vtype::mask_storeu(arr + 112, load_mask4, zmm[7]);
}
template <typename vtype, typename type_t>
static void qsort_32bit_(type_t *arr, int64_t left, int64_t right,
int64_t max_iters) {
/*
* Resort to std::sort if quicksort isnt making any progress
*/
if (max_iters <= 0) {
std::sort(arr + left, arr + right + 1);
return;
}
/*
* Base case: use bitonic networks to sort arrays <= 128
*/
if (right + 1 - left <= 128) {
sort_128_32bit<vtype>(arr + left, (int32_t)(right + 1 - left));
return;
return vtype::cast_from(v);
}
type_t pivot = get_pivot_scalar<type_t>(arr, left, right);
type_t smallest = vtype::type_max();
type_t biggest = vtype::type_min();
int64_t pivot_index = partition_avx512_unrolled<vtype, 2>(
arr, left, right + 1, pivot, &smallest, &biggest, false);
if (pivot != smallest)
qsort_32bit_<vtype>(arr, left, pivot_index - 1, max_iters - 1);
if (pivot != biggest)
qsort_32bit_<vtype>(arr, pivot_index, right, max_iters - 1);
}
template <typename vtype, int scale>
X86_SIMD_SORT_INLINE typename vtype::reg_t reverse_n(
typename vtype::reg_t reg) {
__m512i v = vtype::cast_to(reg);
template <>
void inline avx512_qsort<int32_t>(int32_t *arr, int64_t fromIndex, int64_t toIndex) {
int64_t arrsize = toIndex - fromIndex;
if (arrsize > 1) {
qsort_32bit_<zmm_vector<int32_t>, int32_t>(arr, fromIndex, toIndex - 1,
2 * (int64_t)log2(arrsize));
}
}
if constexpr (scale == 2) {
return swap_n<vtype, 2>(reg);
} else if constexpr (scale == 4) {
__m512i mask = _mm512_set_epi32(12, 13, 14, 15, 8, 9, 10, 11, 4, 5,
6, 7, 0, 1, 2, 3);
v = _mm512_permutexvar_epi32(mask, v);
} else if constexpr (scale == 8) {
__m512i mask = _mm512_set_epi32(8, 9, 10, 11, 12, 13, 14, 15, 0, 1,
2, 3, 4, 5, 6, 7);
v = _mm512_permutexvar_epi32(mask, v);
} else if constexpr (scale == 16) {
return vtype::reverse(reg);
} else {
static_assert(scale == -1, "should not be reached");
}
template <>
void inline avx512_qsort<float>(float *arr, int64_t fromIndex, int64_t toIndex) {
int64_t arrsize = toIndex - fromIndex;
if (arrsize > 1) {
qsort_32bit_<zmm_vector<float>, float>(arr, fromIndex, toIndex - 1,
2 * (int64_t)log2(arrsize));
return vtype::cast_from(v);
}
}
template <typename vtype, int scale>
X86_SIMD_SORT_INLINE typename vtype::reg_t merge_n(
typename vtype::reg_t reg, typename vtype::reg_t other) {
__m512i v1 = vtype::cast_to(reg);
__m512i v2 = vtype::cast_to(other);
if constexpr (scale == 2) {
v1 = _mm512_mask_blend_epi32(0b0101010101010101, v1, v2);
} else if constexpr (scale == 4) {
v1 = _mm512_mask_blend_epi32(0b0011001100110011, v1, v2);
} else if constexpr (scale == 8) {
v1 = _mm512_mask_blend_epi32(0b0000111100001111, v1, v2);
} else if constexpr (scale == 16) {
v1 = _mm512_mask_blend_epi32(0b0000000011111111, v1, v2);
} else {
static_assert(scale == -1, "should not be reached");
}
return vtype::cast_from(v1);
}
};
#endif // AVX512_QSORT_32BIT

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@ -1,212 +0,0 @@
/*
* Copyright (c) 2021, 2023, Intel Corporation. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
// This implementation is based on x86-simd-sort(https://github.com/intel/x86-simd-sort)
#ifndef AVX512_64BIT_COMMON
#define AVX512_64BIT_COMMON
#include "avx512-common-qsort.h"
/*
* Constants used in sorting 8 elements in a ZMM registers. Based on Bitonic
* sorting network (see
* https://en.wikipedia.org/wiki/Bitonic_sorter#/media/File:BitonicSort.svg)
*/
// ZMM 7, 6, 5, 4, 3, 2, 1, 0
#define NETWORK_64BIT_1 4, 5, 6, 7, 0, 1, 2, 3
#define NETWORK_64BIT_2 0, 1, 2, 3, 4, 5, 6, 7
#define NETWORK_64BIT_3 5, 4, 7, 6, 1, 0, 3, 2
#define NETWORK_64BIT_4 3, 2, 1, 0, 7, 6, 5, 4
template <>
struct zmm_vector<int64_t> {
using type_t = int64_t;
using zmm_t = __m512i;
using zmmi_t = __m512i;
using ymm_t = __m512i;
using opmask_t = __mmask8;
static const uint8_t numlanes = 8;
static type_t type_max() { return X86_SIMD_SORT_MAX_INT64; }
static type_t type_min() { return X86_SIMD_SORT_MIN_INT64; }
static zmm_t zmm_max() {
return _mm512_set1_epi64(type_max());
} // TODO: this should broadcast bits as is?
static zmmi_t seti(int v1, int v2, int v3, int v4, int v5, int v6, int v7,
int v8) {
return _mm512_set_epi64(v1, v2, v3, v4, v5, v6, v7, v8);
}
static opmask_t kxor_opmask(opmask_t x, opmask_t y) {
return _kxor_mask8(x, y);
}
static opmask_t knot_opmask(opmask_t x) { return _knot_mask8(x); }
static opmask_t le(zmm_t x, zmm_t y) {
return _mm512_cmp_epi64_mask(x, y, _MM_CMPINT_LE);
}
static opmask_t ge(zmm_t x, zmm_t y) {
return _mm512_cmp_epi64_mask(x, y, _MM_CMPINT_NLT);
}
static opmask_t gt(zmm_t x, zmm_t y) {
return _mm512_cmp_epi64_mask(x, y, _MM_CMPINT_GT);
}
static opmask_t eq(zmm_t x, zmm_t y) {
return _mm512_cmp_epi64_mask(x, y, _MM_CMPINT_EQ);
}
template <int scale>
static zmm_t mask_i64gather(zmm_t src, opmask_t mask, __m512i index,
void const *base) {
return _mm512_mask_i64gather_epi64(src, mask, index, base, scale);
}
template <int scale>
static zmm_t i64gather(__m512i index, void const *base) {
return _mm512_i64gather_epi64(index, base, scale);
}
static zmm_t loadu(void const *mem) { return _mm512_loadu_si512(mem); }
static zmm_t max(zmm_t x, zmm_t y) { return _mm512_max_epi64(x, y); }
static void mask_compressstoreu(void *mem, opmask_t mask, zmm_t x) {
return _mm512_mask_compressstoreu_epi64(mem, mask, x);
}
static zmm_t maskz_loadu(opmask_t mask, void const *mem) {
return _mm512_maskz_loadu_epi64(mask, mem);
}
static zmm_t mask_loadu(zmm_t x, opmask_t mask, void const *mem) {
return _mm512_mask_loadu_epi64(x, mask, mem);
}
static zmm_t mask_mov(zmm_t x, opmask_t mask, zmm_t y) {
return _mm512_mask_mov_epi64(x, mask, y);
}
static void mask_storeu(void *mem, opmask_t mask, zmm_t x) {
return _mm512_mask_storeu_epi64(mem, mask, x);
}
static zmm_t min(zmm_t x, zmm_t y) { return _mm512_min_epi64(x, y); }
static zmm_t permutexvar(__m512i idx, zmm_t zmm) {
return _mm512_permutexvar_epi64(idx, zmm);
}
static type_t reducemax(zmm_t v) { return _mm512_reduce_max_epi64(v); }
static type_t reducemin(zmm_t v) { return _mm512_reduce_min_epi64(v); }
static zmm_t set1(type_t v) { return _mm512_set1_epi64(v); }
template <uint8_t mask>
static zmm_t shuffle(zmm_t zmm) {
__m512d temp = _mm512_castsi512_pd(zmm);
return _mm512_castpd_si512(
_mm512_shuffle_pd(temp, temp, (_MM_PERM_ENUM)mask));
}
static void storeu(void *mem, zmm_t x) { _mm512_storeu_si512(mem, x); }
};
template <>
struct zmm_vector<double> {
using type_t = double;
using zmm_t = __m512d;
using zmmi_t = __m512i;
using ymm_t = __m512d;
using opmask_t = __mmask8;
static const uint8_t numlanes = 8;
static type_t type_max() { return X86_SIMD_SORT_INFINITY; }
static type_t type_min() { return -X86_SIMD_SORT_INFINITY; }
static zmm_t zmm_max() { return _mm512_set1_pd(type_max()); }
static zmmi_t seti(int v1, int v2, int v3, int v4, int v5, int v6, int v7,
int v8) {
return _mm512_set_epi64(v1, v2, v3, v4, v5, v6, v7, v8);
}
static zmm_t maskz_loadu(opmask_t mask, void const *mem) {
return _mm512_maskz_loadu_pd(mask, mem);
}
static opmask_t knot_opmask(opmask_t x) { return _knot_mask8(x); }
static opmask_t ge(zmm_t x, zmm_t y) {
return _mm512_cmp_pd_mask(x, y, _CMP_GE_OQ);
}
static opmask_t gt(zmm_t x, zmm_t y) {
return _mm512_cmp_pd_mask(x, y, _CMP_GT_OQ);
}
static opmask_t eq(zmm_t x, zmm_t y) {
return _mm512_cmp_pd_mask(x, y, _CMP_EQ_OQ);
}
template <int type>
static opmask_t fpclass(zmm_t x) {
return _mm512_fpclass_pd_mask(x, type);
}
template <int scale>
static zmm_t mask_i64gather(zmm_t src, opmask_t mask, __m512i index,
void const *base) {
return _mm512_mask_i64gather_pd(src, mask, index, base, scale);
}
template <int scale>
static zmm_t i64gather(__m512i index, void const *base) {
return _mm512_i64gather_pd(index, base, scale);
}
static zmm_t loadu(void const *mem) { return _mm512_loadu_pd(mem); }
static zmm_t max(zmm_t x, zmm_t y) { return _mm512_max_pd(x, y); }
static void mask_compressstoreu(void *mem, opmask_t mask, zmm_t x) {
return _mm512_mask_compressstoreu_pd(mem, mask, x);
}
static zmm_t mask_loadu(zmm_t x, opmask_t mask, void const *mem) {
return _mm512_mask_loadu_pd(x, mask, mem);
}
static zmm_t mask_mov(zmm_t x, opmask_t mask, zmm_t y) {
return _mm512_mask_mov_pd(x, mask, y);
}
static void mask_storeu(void *mem, opmask_t mask, zmm_t x) {
return _mm512_mask_storeu_pd(mem, mask, x);
}
static zmm_t min(zmm_t x, zmm_t y) { return _mm512_min_pd(x, y); }
static zmm_t permutexvar(__m512i idx, zmm_t zmm) {
return _mm512_permutexvar_pd(idx, zmm);
}
static type_t reducemax(zmm_t v) { return _mm512_reduce_max_pd(v); }
static type_t reducemin(zmm_t v) { return _mm512_reduce_min_pd(v); }
static zmm_t set1(type_t v) { return _mm512_set1_pd(v); }
template <uint8_t mask>
static zmm_t shuffle(zmm_t zmm) {
return _mm512_shuffle_pd(zmm, zmm, (_MM_PERM_ENUM)mask);
}
static void storeu(void *mem, zmm_t x) { _mm512_storeu_pd(mem, x); }
};
/*
* Assumes zmm is random and performs a full sorting network defined in
* https://en.wikipedia.org/wiki/Bitonic_sorter#/media/File:BitonicSort.svg
*/
template <typename vtype, typename zmm_t = typename vtype::zmm_t>
X86_SIMD_SORT_INLINE zmm_t sort_zmm_64bit(zmm_t zmm) {
const typename vtype::zmmi_t rev_index = vtype::seti(NETWORK_64BIT_2);
zmm = cmp_merge<vtype>(
zmm, vtype::template shuffle<SHUFFLE_MASK(1, 1, 1, 1)>(zmm), 0xAA);
zmm = cmp_merge<vtype>(
zmm, vtype::permutexvar(vtype::seti(NETWORK_64BIT_1), zmm), 0xCC);
zmm = cmp_merge<vtype>(
zmm, vtype::template shuffle<SHUFFLE_MASK(1, 1, 1, 1)>(zmm), 0xAA);
zmm = cmp_merge<vtype>(zmm, vtype::permutexvar(rev_index, zmm), 0xF0);
zmm = cmp_merge<vtype>(
zmm, vtype::permutexvar(vtype::seti(NETWORK_64BIT_3), zmm), 0xCC);
zmm = cmp_merge<vtype>(
zmm, vtype::template shuffle<SHUFFLE_MASK(1, 1, 1, 1)>(zmm), 0xAA);
return zmm;
}
#endif

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@ -1,483 +0,0 @@
/*
* Copyright (c) 2021, 2023, Intel Corporation. All rights reserved.
* Copyright (c) 2021 Serge Sans Paille. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
// This implementation is based on x86-simd-sort(https://github.com/intel/x86-simd-sort)
#ifndef AVX512_QSORT_COMMON
#define AVX512_QSORT_COMMON
/*
* Quicksort using AVX-512. The ideas and code are based on these two research
* papers [1] and [2]. On a high level, the idea is to vectorize quicksort
* partitioning using AVX-512 compressstore instructions. If the array size is
* < 128, then use Bitonic sorting network implemented on 512-bit registers.
* The precise network definitions depend on the dtype and are defined in
* separate files: avx512-16bit-qsort.hpp, avx512-32bit-qsort.hpp and
* avx512-64bit-qsort.hpp. Article [4] is a good resource for bitonic sorting
* network. The core implementations of the vectorized qsort functions
* avx512_qsort<T>(T*, int64_t) are modified versions of avx2 quicksort
* presented in the paper [2] and source code associated with that paper [3].
*
* [1] Fast and Robust Vectorized In-Place Sorting of Primitive Types
* https://drops.dagstuhl.de/opus/volltexte/2021/13775/
*
* [2] A Novel Hybrid Quicksort Algorithm Vectorized using AVX-512 on Intel
* Skylake https://arxiv.org/pdf/1704.08579.pdf
*
* [3] https://github.com/simd-sorting/fast-and-robust: SPDX-License-Identifier:
* MIT
*
* [4]
* http://mitp-content-server.mit.edu:18180/books/content/sectbyfn?collid=books_pres_0&fn=Chapter%2027.pdf&id=8030
*
*/
#include <algorithm>
#include <cmath>
#include <cstdint>
#include <cstring>
#include <limits>
/*
Workaround for the bug in GCC12 (that was fixed in GCC 12.3.1).
More details are available at: https://gcc.gnu.org/bugzilla/show_bug.cgi?id=105593
*/
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"
#pragma GCC diagnostic ignored "-Wuninitialized"
#include <immintrin.h>
#pragma GCC diagnostic pop
#define X86_SIMD_SORT_INFINITY std::numeric_limits<double>::infinity()
#define X86_SIMD_SORT_INFINITYF std::numeric_limits<float>::infinity()
#define X86_SIMD_SORT_INFINITYH 0x7c00
#define X86_SIMD_SORT_NEGINFINITYH 0xfc00
#define X86_SIMD_SORT_MAX_UINT16 std::numeric_limits<uint16_t>::max()
#define X86_SIMD_SORT_MAX_INT16 std::numeric_limits<int16_t>::max()
#define X86_SIMD_SORT_MIN_INT16 std::numeric_limits<int16_t>::min()
#define X86_SIMD_SORT_MAX_UINT32 std::numeric_limits<uint32_t>::max()
#define X86_SIMD_SORT_MAX_INT32 std::numeric_limits<int32_t>::max()
#define X86_SIMD_SORT_MIN_INT32 std::numeric_limits<int32_t>::min()
#define X86_SIMD_SORT_MAX_UINT64 std::numeric_limits<uint64_t>::max()
#define X86_SIMD_SORT_MAX_INT64 std::numeric_limits<int64_t>::max()
#define X86_SIMD_SORT_MIN_INT64 std::numeric_limits<int64_t>::min()
#define ZMM_MAX_DOUBLE _mm512_set1_pd(X86_SIMD_SORT_INFINITY)
#define ZMM_MAX_UINT64 _mm512_set1_epi64(X86_SIMD_SORT_MAX_UINT64)
#define ZMM_MAX_INT64 _mm512_set1_epi64(X86_SIMD_SORT_MAX_INT64)
#define ZMM_MAX_FLOAT _mm512_set1_ps(X86_SIMD_SORT_INFINITYF)
#define ZMM_MAX_UINT _mm512_set1_epi32(X86_SIMD_SORT_MAX_UINT32)
#define ZMM_MAX_INT _mm512_set1_epi32(X86_SIMD_SORT_MAX_INT32)
#define ZMM_MAX_HALF _mm512_set1_epi16(X86_SIMD_SORT_INFINITYH)
#define YMM_MAX_HALF _mm256_set1_epi16(X86_SIMD_SORT_INFINITYH)
#define ZMM_MAX_UINT16 _mm512_set1_epi16(X86_SIMD_SORT_MAX_UINT16)
#define ZMM_MAX_INT16 _mm512_set1_epi16(X86_SIMD_SORT_MAX_INT16)
#define SHUFFLE_MASK(a, b, c, d) (a << 6) | (b << 4) | (c << 2) | d
#ifdef _MSC_VER
#define X86_SIMD_SORT_INLINE static inline
#define X86_SIMD_SORT_FINLINE static __forceinline
#elif defined(__CYGWIN__)
/*
* Force inline in cygwin to work around a compiler bug. See
* https://github.com/numpy/numpy/pull/22315#issuecomment-1267757584
*/
#define X86_SIMD_SORT_INLINE static __attribute__((always_inline))
#define X86_SIMD_SORT_FINLINE static __attribute__((always_inline))
#elif defined(__GNUC__)
#define X86_SIMD_SORT_INLINE static inline
#define X86_SIMD_SORT_FINLINE static __attribute__((always_inline))
#else
#define X86_SIMD_SORT_INLINE static
#define X86_SIMD_SORT_FINLINE static
#endif
#define LIKELY(x) __builtin_expect((x), 1)
#define UNLIKELY(x) __builtin_expect((x), 0)
template <typename type>
struct zmm_vector;
template <typename type>
struct ymm_vector;
// Regular quicksort routines:
template <typename T>
void avx512_qsort(T *arr, int64_t arrsize);
template <typename T>
void inline avx512_qsort(T *arr, int64_t from_index, int64_t to_index);
template <typename T>
bool is_a_nan(T elem) {
return std::isnan(elem);
}
template <typename T>
X86_SIMD_SORT_INLINE T get_pivot_scalar(T *arr, const int64_t left, const int64_t right) {
// median of 8 equally spaced elements
int64_t NUM_ELEMENTS = 8;
int64_t MID = NUM_ELEMENTS / 2;
int64_t size = (right - left) / NUM_ELEMENTS;
T temp[NUM_ELEMENTS];
for (int64_t i = 0; i < NUM_ELEMENTS; i++) temp[i] = arr[left + (i * size)];
std::sort(temp, temp + NUM_ELEMENTS);
return temp[MID];
}
template <typename vtype, typename T = typename vtype::type_t>
bool comparison_func_ge(const T &a, const T &b) {
return a < b;
}
template <typename vtype, typename T = typename vtype::type_t>
bool comparison_func_gt(const T &a, const T &b) {
return a <= b;
}
/*
* COEX == Compare and Exchange two registers by swapping min and max values
*/
template <typename vtype, typename mm_t>
static void COEX(mm_t &a, mm_t &b) {
mm_t temp = a;
a = vtype::min(a, b);
b = vtype::max(temp, b);
}
template <typename vtype, typename zmm_t = typename vtype::zmm_t,
typename opmask_t = typename vtype::opmask_t>
static inline zmm_t cmp_merge(zmm_t in1, zmm_t in2, opmask_t mask) {
zmm_t min = vtype::min(in2, in1);
zmm_t max = vtype::max(in2, in1);
return vtype::mask_mov(min, mask, max); // 0 -> min, 1 -> max
}
/*
* Parition one ZMM register based on the pivot and returns the
* number of elements that are greater than or equal to the pivot.
*/
template <typename vtype, typename type_t, typename zmm_t>
static inline int32_t partition_vec(type_t *arr, int64_t left, int64_t right,
const zmm_t curr_vec, const zmm_t pivot_vec,
zmm_t *smallest_vec, zmm_t *biggest_vec, bool use_gt) {
/* which elements are larger than or equal to the pivot */
typename vtype::opmask_t mask;
if (use_gt) mask = vtype::gt(curr_vec, pivot_vec);
else mask = vtype::ge(curr_vec, pivot_vec);
//mask = vtype::ge(curr_vec, pivot_vec);
int32_t amount_ge_pivot = _mm_popcnt_u32((int32_t)mask);
vtype::mask_compressstoreu(arr + left, vtype::knot_opmask(mask),
curr_vec);
vtype::mask_compressstoreu(arr + right - amount_ge_pivot, mask,
curr_vec);
*smallest_vec = vtype::min(curr_vec, *smallest_vec);
*biggest_vec = vtype::max(curr_vec, *biggest_vec);
return amount_ge_pivot;
}
/*
* Parition an array based on the pivot and returns the index of the
* first element that is greater than or equal to the pivot.
*/
template <typename vtype, typename type_t>
static inline int64_t partition_avx512(type_t *arr, int64_t left, int64_t right,
type_t pivot, type_t *smallest,
type_t *biggest, bool use_gt) {
auto comparison_func = use_gt ? comparison_func_gt<vtype> : comparison_func_ge<vtype>;
/* make array length divisible by vtype::numlanes , shortening the array */
for (int32_t i = (right - left) % vtype::numlanes; i > 0; --i) {
*smallest = std::min(*smallest, arr[left], comparison_func);
*biggest = std::max(*biggest, arr[left], comparison_func);
if (!comparison_func(arr[left], pivot)) {
std::swap(arr[left], arr[--right]);
} else {
++left;
}
}
if (left == right)
return left; /* less than vtype::numlanes elements in the array */
using zmm_t = typename vtype::zmm_t;
zmm_t pivot_vec = vtype::set1(pivot);
zmm_t min_vec = vtype::set1(*smallest);
zmm_t max_vec = vtype::set1(*biggest);
if (right - left == vtype::numlanes) {
zmm_t vec = vtype::loadu(arr + left);
int32_t amount_ge_pivot =
partition_vec<vtype>(arr, left, left + vtype::numlanes, vec,
pivot_vec, &min_vec, &max_vec, use_gt);
*smallest = vtype::reducemin(min_vec);
*biggest = vtype::reducemax(max_vec);
return left + (vtype::numlanes - amount_ge_pivot);
}
// first and last vtype::numlanes values are partitioned at the end
zmm_t vec_left = vtype::loadu(arr + left);
zmm_t vec_right = vtype::loadu(arr + (right - vtype::numlanes));
// store points of the vectors
int64_t r_store = right - vtype::numlanes;
int64_t l_store = left;
// indices for loading the elements
left += vtype::numlanes;
right -= vtype::numlanes;
while (right - left != 0) {
zmm_t curr_vec;
/*
* if fewer elements are stored on the right side of the array,
* then next elements are loaded from the right side,
* otherwise from the left side
*/
if ((r_store + vtype::numlanes) - right < left - l_store) {
right -= vtype::numlanes;
curr_vec = vtype::loadu(arr + right);
} else {
curr_vec = vtype::loadu(arr + left);
left += vtype::numlanes;
}
// partition the current vector and save it on both sides of the array
int32_t amount_ge_pivot =
partition_vec<vtype>(arr, l_store, r_store + vtype::numlanes,
curr_vec, pivot_vec, &min_vec, &max_vec, use_gt);
;
r_store -= amount_ge_pivot;
l_store += (vtype::numlanes - amount_ge_pivot);
}
/* partition and save vec_left and vec_right */
int32_t amount_ge_pivot =
partition_vec<vtype>(arr, l_store, r_store + vtype::numlanes, vec_left,
pivot_vec, &min_vec, &max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
amount_ge_pivot =
partition_vec<vtype>(arr, l_store, l_store + vtype::numlanes, vec_right,
pivot_vec, &min_vec, &max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
*smallest = vtype::reducemin(min_vec);
*biggest = vtype::reducemax(max_vec);
return l_store;
}
template <typename vtype, int num_unroll,
typename type_t = typename vtype::type_t>
static inline int64_t partition_avx512_unrolled(type_t *arr, int64_t left,
int64_t right, type_t pivot,
type_t *smallest,
type_t *biggest, bool use_gt) {
if (right - left <= 2 * num_unroll * vtype::numlanes) {
return partition_avx512<vtype>(arr, left, right, pivot, smallest,
biggest, use_gt);
}
auto comparison_func = use_gt ? comparison_func_gt<vtype> : comparison_func_ge<vtype>;
/* make array length divisible by 8*vtype::numlanes , shortening the array
*/
for (int32_t i = ((right - left) % (num_unroll * vtype::numlanes)); i > 0;
--i) {
*smallest = std::min(*smallest, arr[left], comparison_func);
*biggest = std::max(*biggest, arr[left], comparison_func);
if (!comparison_func(arr[left], pivot)) {
std::swap(arr[left], arr[--right]);
} else {
++left;
}
}
if (left == right)
return left; /* less than vtype::numlanes elements in the array */
using zmm_t = typename vtype::zmm_t;
zmm_t pivot_vec = vtype::set1(pivot);
zmm_t min_vec = vtype::set1(*smallest);
zmm_t max_vec = vtype::set1(*biggest);
// We will now have atleast 16 registers worth of data to process:
// left and right vtype::numlanes values are partitioned at the end
zmm_t vec_left[num_unroll], vec_right[num_unroll];
#pragma GCC unroll 8
for (int ii = 0; ii < num_unroll; ++ii) {
vec_left[ii] = vtype::loadu(arr + left + vtype::numlanes * ii);
vec_right[ii] =
vtype::loadu(arr + (right - vtype::numlanes * (num_unroll - ii)));
}
// store points of the vectors
int64_t r_store = right - vtype::numlanes;
int64_t l_store = left;
// indices for loading the elements
left += num_unroll * vtype::numlanes;
right -= num_unroll * vtype::numlanes;
while (right - left != 0) {
zmm_t curr_vec[num_unroll];
/*
* if fewer elements are stored on the right side of the array,
* then next elements are loaded from the right side,
* otherwise from the left side
*/
if ((r_store + vtype::numlanes) - right < left - l_store) {
right -= num_unroll * vtype::numlanes;
#pragma GCC unroll 8
for (int ii = 0; ii < num_unroll; ++ii) {
curr_vec[ii] = vtype::loadu(arr + right + ii * vtype::numlanes);
}
} else {
#pragma GCC unroll 8
for (int ii = 0; ii < num_unroll; ++ii) {
curr_vec[ii] = vtype::loadu(arr + left + ii * vtype::numlanes);
}
left += num_unroll * vtype::numlanes;
}
// partition the current vector and save it on both sides of the array
#pragma GCC unroll 8
for (int ii = 0; ii < num_unroll; ++ii) {
int32_t amount_ge_pivot = partition_vec<vtype>(
arr, l_store, r_store + vtype::numlanes, curr_vec[ii],
pivot_vec, &min_vec, &max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
r_store -= amount_ge_pivot;
}
}
/* partition and save vec_left[8] and vec_right[8] */
#pragma GCC unroll 8
for (int ii = 0; ii < num_unroll; ++ii) {
int32_t amount_ge_pivot =
partition_vec<vtype>(arr, l_store, r_store + vtype::numlanes,
vec_left[ii], pivot_vec, &min_vec, &max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
r_store -= amount_ge_pivot;
}
#pragma GCC unroll 8
for (int ii = 0; ii < num_unroll; ++ii) {
int32_t amount_ge_pivot =
partition_vec<vtype>(arr, l_store, r_store + vtype::numlanes,
vec_right[ii], pivot_vec, &min_vec, &max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
r_store -= amount_ge_pivot;
}
*smallest = vtype::reducemin(min_vec);
*biggest = vtype::reducemax(max_vec);
return l_store;
}
// to_index (exclusive)
template <typename vtype, typename type_t>
static int64_t vectorized_partition(type_t *arr, int64_t from_index, int64_t to_index, type_t pivot, bool use_gt) {
type_t smallest = vtype::type_max();
type_t biggest = vtype::type_min();
int64_t pivot_index = partition_avx512_unrolled<vtype, 2>(
arr, from_index, to_index, pivot, &smallest, &biggest, use_gt);
return pivot_index;
}
// partitioning functions
template <typename T>
void avx512_dual_pivot_partition(T *arr, int64_t from_index, int64_t to_index, int32_t *pivot_indices, int64_t index_pivot1, int64_t index_pivot2){
const T pivot1 = arr[index_pivot1];
const T pivot2 = arr[index_pivot2];
const int64_t low = from_index;
const int64_t high = to_index;
const int64_t start = low + 1;
const int64_t end = high - 1;
std::swap(arr[index_pivot1], arr[low]);
std::swap(arr[index_pivot2], arr[end]);
const int64_t pivot_index2 = vectorized_partition<zmm_vector<T>, T>(arr, start, end, pivot2, true); // use_gt = true
std::swap(arr[end], arr[pivot_index2]);
int64_t upper = pivot_index2;
// if all other elements are greater than pivot2 (and pivot1), no need to do further partitioning
if (upper == start) {
pivot_indices[0] = low;
pivot_indices[1] = upper;
return;
}
const int64_t pivot_index1 = vectorized_partition<zmm_vector<T>, T>(arr, start, upper, pivot1, false); // use_ge (use_gt = false)
int64_t lower = pivot_index1 - 1;
std::swap(arr[low], arr[lower]);
pivot_indices[0] = lower;
pivot_indices[1] = upper;
}
template <typename T>
void avx512_single_pivot_partition(T *arr, int64_t from_index, int64_t to_index, int32_t *pivot_indices, int64_t index_pivot){
const T pivot = arr[index_pivot];
const int64_t low = from_index;
const int64_t high = to_index;
const int64_t end = high - 1;
const int64_t pivot_index1 = vectorized_partition<zmm_vector<T>, T>(arr, low, high, pivot, false); // use_gt = false (use_ge)
int64_t lower = pivot_index1;
const int64_t pivot_index2 = vectorized_partition<zmm_vector<T>, T>(arr, pivot_index1, high, pivot, true); // use_gt = true
int64_t upper = pivot_index2;
pivot_indices[0] = lower;
pivot_indices[1] = upper;
}
template <typename T>
void inline avx512_fast_partition(T *arr, int64_t from_index, int64_t to_index, int32_t *pivot_indices, int64_t index_pivot1, int64_t index_pivot2) {
if (index_pivot1 != index_pivot2) {
avx512_dual_pivot_partition<T>(arr, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
}
else {
avx512_single_pivot_partition<T>(arr, from_index, to_index, pivot_indices, index_pivot1);
}
}
template <typename T>
void inline insertion_sort(T *arr, int32_t from_index, int32_t to_index) {
for (int i, k = from_index; ++k < to_index; ) {
T ai = arr[i = k];
if (ai < arr[i - 1]) {
while (--i >= from_index && ai < arr[i]) {
arr[i + 1] = arr[i];
}
arr[i + 1] = ai;
}
}
}
template <typename T>
void inline avx512_fast_sort(T *arr, int64_t from_index, int64_t to_index, const int32_t INS_SORT_THRESHOLD) {
int32_t size = to_index - from_index;
if (size <= INS_SORT_THRESHOLD) {
insertion_sort<T>(arr, from_index, to_index);
}
else {
avx512_qsort<T>(arr, from_index, to_index);
}
}
#endif // AVX512_QSORT_COMMON

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@ -21,12 +21,15 @@
* questions.
*
*/
#include "simdsort-support.hpp"
#ifdef __SIMDSORT_SUPPORTED_LINUX
#pragma GCC target("avx512dq", "avx512f")
#include "avx512-32bit-qsort.hpp"
#include "avx512-64bit-qsort.hpp"
#include "classfile_constants.h"
#define DLL_PUBLIC __attribute__((visibility("default")))
#define INSERTION_SORT_THRESHOLD_32BIT 16
#define INSERTION_SORT_THRESHOLD_64BIT 20
@ -36,35 +39,41 @@ extern "C" {
DLL_PUBLIC void avx512_sort(void *array, int elem_type, int32_t from_index, int32_t to_index) {
switch(elem_type) {
case JVM_T_INT:
avx512_fast_sort<int32_t>((int32_t*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_32BIT);
avx512_fast_sort((int32_t*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_32BIT);
break;
case JVM_T_LONG:
avx512_fast_sort<int64_t>((int64_t*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_64BIT);
avx512_fast_sort((int64_t*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_64BIT);
break;
case JVM_T_FLOAT:
avx512_fast_sort<float>((float*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_32BIT);
avx512_fast_sort((float*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_32BIT);
break;
case JVM_T_DOUBLE:
avx512_fast_sort<double>((double*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_64BIT);
avx512_fast_sort((double*)array, from_index, to_index, INSERTION_SORT_THRESHOLD_64BIT);
break;
default:
assert(false, "Unexpected type");
}
}
DLL_PUBLIC void avx512_partition(void *array, int elem_type, int32_t from_index, int32_t to_index, int32_t *pivot_indices, int32_t index_pivot1, int32_t index_pivot2) {
switch(elem_type) {
case JVM_T_INT:
avx512_fast_partition<int32_t>((int32_t*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
avx512_fast_partition((int32_t*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
break;
case JVM_T_LONG:
avx512_fast_partition<int64_t>((int64_t*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
avx512_fast_partition((int64_t*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
break;
case JVM_T_FLOAT:
avx512_fast_partition<float>((float*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
avx512_fast_partition((float*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
break;
case JVM_T_DOUBLE:
avx512_fast_partition<double>((double*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
avx512_fast_partition((double*)array, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
break;
default:
assert(false, "Unexpected type");
}
}
}
#endif

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@ -0,0 +1,39 @@
/*
* Copyright (c) 2023 Intel Corporation. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
#ifndef SIMDSORT_SUPPORT_HPP
#define SIMDSORT_SUPPORT_HPP
#include <stdio.h>
#include <stdlib.h>
#undef assert
#define assert(cond, msg) { if (!(cond)) { fprintf(stderr, "assert fails %s %d: %s\n", __FILE__, __LINE__, msg); abort(); }}
// GCC >= 7.5 is needed to build AVX2 portions of libsimdsort using C++17 features
#if defined(_LP64) && (defined(__GNUC__) && ((__GNUC__ > 7) || ((__GNUC__ == 7) && (__GNUC_MINOR__ >= 5))))
#define __SIMDSORT_SUPPORTED_LINUX
#endif
#endif //SIMDSORT_SUPPORT_HPP

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@ -0,0 +1,101 @@
/*
* Copyright (c) 2021, 2023, Intel Corporation. All rights reserved.
* Copyright (c) 2021 Serge Sans Paille. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
// This implementation is based on x86-simd-sort(https://github.com/intel/x86-simd-sort)
#ifndef XSS_COMMON_INCLUDES
#define XSS_COMMON_INCLUDES
#include <algorithm>
#include <cmath>
#include <cstdint>
#include <cstring>
/*
Workaround for the bug in GCC12 (that was fixed in GCC 12.3.1).
More details are available at:
https://gcc.gnu.org/bugzilla/show_bug.cgi?id=105593
*/
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"
#pragma GCC diagnostic ignored "-Wuninitialized"
#include <immintrin.h>
#pragma GCC diagnostic pop
#include <limits>
#include <vector>
#define X86_SIMD_SORT_INFINITY std::numeric_limits<double>::infinity()
#define X86_SIMD_SORT_INFINITYF std::numeric_limits<float>::infinity()
#define X86_SIMD_SORT_INFINITYH 0x7c00
#define X86_SIMD_SORT_NEGINFINITYH 0xfc00
#define X86_SIMD_SORT_MAX_UINT16 std::numeric_limits<uint16_t>::max()
#define X86_SIMD_SORT_MAX_INT16 std::numeric_limits<int16_t>::max()
#define X86_SIMD_SORT_MIN_INT16 std::numeric_limits<int16_t>::min()
#define X86_SIMD_SORT_MAX_UINT32 std::numeric_limits<uint32_t>::max()
#define X86_SIMD_SORT_MAX_INT32 std::numeric_limits<int32_t>::max()
#define X86_SIMD_SORT_MIN_INT32 std::numeric_limits<int32_t>::min()
#define X86_SIMD_SORT_MAX_UINT64 std::numeric_limits<uint64_t>::max()
#define X86_SIMD_SORT_MAX_INT64 std::numeric_limits<int64_t>::max()
#define X86_SIMD_SORT_MIN_INT64 std::numeric_limits<int64_t>::min()
#define ZMM_MAX_DOUBLE _mm512_set1_pd(X86_SIMD_SORT_INFINITY)
#define ZMM_MAX_UINT64 _mm512_set1_epi64(X86_SIMD_SORT_MAX_UINT64)
#define ZMM_MAX_INT64 _mm512_set1_epi64(X86_SIMD_SORT_MAX_INT64)
#define ZMM_MAX_FLOAT _mm512_set1_ps(X86_SIMD_SORT_INFINITYF)
#define ZMM_MAX_UINT _mm512_set1_epi32(X86_SIMD_SORT_MAX_UINT32)
#define ZMM_MAX_INT _mm512_set1_epi32(X86_SIMD_SORT_MAX_INT32)
#define ZMM_MAX_HALF _mm512_set1_epi16(X86_SIMD_SORT_INFINITYH)
#define YMM_MAX_HALF _mm256_set1_epi16(X86_SIMD_SORT_INFINITYH)
#define ZMM_MAX_UINT16 _mm512_set1_epi16(X86_SIMD_SORT_MAX_UINT16)
#define ZMM_MAX_INT16 _mm512_set1_epi16(X86_SIMD_SORT_MAX_INT16)
#define SHUFFLE_MASK(a, b, c, d) (a << 6) | (b << 4) | (c << 2) | d
#define PRAGMA(x) _Pragma(#x)
#define UNUSED(x) (void)(x)
/* Compiler specific macros specific */
#if defined(__GNUC__)
#define X86_SIMD_SORT_INLINE static inline
#define X86_SIMD_SORT_FINLINE static inline __attribute__((always_inline))
#else
#define X86_SIMD_SORT_INLINE static
#define X86_SIMD_SORT_FINLINE static
#endif
#if __GNUC__ >= 8
#define X86_SIMD_SORT_UNROLL_LOOP(num) PRAGMA(GCC unroll num)
#else
#define X86_SIMD_SORT_UNROLL_LOOP(num)
#endif
typedef size_t arrsize_t;
template <typename type>
struct zmm_vector;
template <typename type>
struct ymm_vector;
template <typename type>
struct avx2_vector;
#endif // XSS_COMMON_INCLUDES

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@ -0,0 +1,528 @@
/*
* Copyright (c) 2021, 2023, Intel Corporation. All rights reserved.
* Copyright (c) 2021 Serge Sans Paille. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
// This implementation is based on x86-simd-sort(https://github.com/intel/x86-simd-sort)
#ifndef XSS_COMMON_QSORT
#define XSS_COMMON_QSORT
/*
* Quicksort using AVX-512. The ideas and code are based on these two research
* papers [1] and [2]. On a high level, the idea is to vectorize quicksort
* partitioning using AVX-512 compressstore instructions. If the array size is
* < 128, then use Bitonic sorting network implemented on 512-bit registers.
* The precise network definitions depend on the dtype and are defined in
* separate files: avx512-16bit-qsort.hpp, avx512-32bit-qsort.hpp and
* avx512-64bit-qsort.hpp. Article [4] is a good resource for bitonic sorting
* network. The core implementations of the vectorized qsort functions
* avx512_qsort<T>(T*, arrsize_t) are modified versions of avx2 quicksort
* presented in the paper [2] and source code associated with that paper [3].
*
* [1] Fast and Robust Vectorized In-Place Sorting of Primitive Types
* https://drops.dagstuhl.de/opus/volltexte/2021/13775/
*
* [2] A Novel Hybrid Quicksort Algorithm Vectorized using AVX-512 on Intel
* Skylake https://arxiv.org/pdf/1704.08579.pdf
*
* [3] https://github.com/simd-sorting/fast-and-robust: SPDX-License-Identifier:
* MIT
*
* [4] http://mitp-content-server.mit.edu:18180/books/content/sectbyfn?collid=books_pres_0&fn=Chapter%2027.pdf&id=8030
*
*/
#include "xss-common-includes.h"
#include "xss-pivot-selection.hpp"
#include "xss-network-qsort.hpp"
template <typename T>
bool is_a_nan(T elem) {
return std::isnan(elem);
}
template <typename T>
X86_SIMD_SORT_INLINE T get_pivot_scalar(T *arr, const int64_t left, const int64_t right) {
// median of 8 equally spaced elements
int64_t NUM_ELEMENTS = 8;
int64_t MID = NUM_ELEMENTS / 2;
int64_t size = (right - left) / NUM_ELEMENTS;
T temp[NUM_ELEMENTS];
for (int64_t i = 0; i < NUM_ELEMENTS; i++) temp[i] = arr[left + (i * size)];
std::sort(temp, temp + NUM_ELEMENTS);
return temp[MID];
}
template <typename vtype, typename T = typename vtype::type_t>
bool comparison_func_ge(const T &a, const T &b) {
return a < b;
}
template <typename vtype, typename T = typename vtype::type_t>
bool comparison_func_gt(const T &a, const T &b) {
return a <= b;
}
/*
* COEX == Compare and Exchange two registers by swapping min and max values
*/
template <typename vtype, typename mm_t>
X86_SIMD_SORT_INLINE void COEX(mm_t &a, mm_t &b) {
mm_t temp = a;
a = vtype::min(a, b);
b = vtype::max(temp, b);
}
template <typename vtype, typename reg_t = typename vtype::reg_t,
typename opmask_t = typename vtype::opmask_t>
X86_SIMD_SORT_INLINE reg_t cmp_merge(reg_t in1, reg_t in2, opmask_t mask) {
reg_t min = vtype::min(in2, in1);
reg_t max = vtype::max(in2, in1);
return vtype::mask_mov(min, mask, max); // 0 -> min, 1 -> max
}
template <typename vtype, typename type_t, typename reg_t>
int avx512_double_compressstore(type_t *left_addr, type_t *right_addr,
typename vtype::opmask_t k, reg_t reg) {
int amount_ge_pivot = _mm_popcnt_u32((int)k);
vtype::mask_compressstoreu(left_addr, vtype::knot_opmask(k), reg);
vtype::mask_compressstoreu(right_addr + vtype::numlanes - amount_ge_pivot,
k, reg);
return amount_ge_pivot;
}
// Generic function dispatches to AVX2 or AVX512 code
template <typename vtype, typename type_t,
typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_INLINE arrsize_t partition_vec(type_t *l_store, type_t *r_store,
const reg_t curr_vec,
const reg_t pivot_vec,
reg_t &smallest_vec,
reg_t &biggest_vec, bool use_gt) {
//typename vtype::opmask_t ge_mask = vtype::ge(curr_vec, pivot_vec);
typename vtype::opmask_t mask;
if (use_gt) mask = vtype::gt(curr_vec, pivot_vec);
else mask = vtype::ge(curr_vec, pivot_vec);
int amount_ge_pivot =
vtype::double_compressstore(l_store, r_store, mask, curr_vec);
smallest_vec = vtype::min(curr_vec, smallest_vec);
biggest_vec = vtype::max(curr_vec, biggest_vec);
return amount_ge_pivot;
}
/*
* Parition an array based on the pivot and returns the index of the
* first element that is greater than or equal to the pivot.
*/
template <typename vtype, typename type_t>
X86_SIMD_SORT_INLINE arrsize_t partition_avx512(type_t *arr, arrsize_t left,
arrsize_t right, type_t pivot,
type_t *smallest,
type_t *biggest,
bool use_gt) {
auto comparison_func = use_gt ? comparison_func_gt<vtype> : comparison_func_ge<vtype>;
/* make array length divisible by vtype::numlanes , shortening the array */
for (int32_t i = (right - left) % vtype::numlanes; i > 0; --i) {
*smallest = std::min(*smallest, arr[left], comparison_func);
*biggest = std::max(*biggest, arr[left], comparison_func);
if (!comparison_func(arr[left], pivot)) {
std::swap(arr[left], arr[--right]);
} else {
++left;
}
}
if (left == right)
return left; /* less than vtype::numlanes elements in the array */
using reg_t = typename vtype::reg_t;
reg_t pivot_vec = vtype::set1(pivot);
reg_t min_vec = vtype::set1(*smallest);
reg_t max_vec = vtype::set1(*biggest);
if (right - left == vtype::numlanes) {
reg_t vec = vtype::loadu(arr + left);
arrsize_t unpartitioned = right - left - vtype::numlanes;
arrsize_t l_store = left;
arrsize_t amount_ge_pivot =
partition_vec<vtype>(arr + l_store, arr + l_store + unpartitioned,
vec, pivot_vec, min_vec, max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
*smallest = vtype::reducemin(min_vec);
*biggest = vtype::reducemax(max_vec);
return l_store;
}
// first and last vtype::numlanes values are partitioned at the end
reg_t vec_left = vtype::loadu(arr + left);
reg_t vec_right = vtype::loadu(arr + (right - vtype::numlanes));
// store points of the vectors
arrsize_t unpartitioned = right - left - vtype::numlanes;
arrsize_t l_store = left;
// indices for loading the elements
left += vtype::numlanes;
right -= vtype::numlanes;
while (right - left != 0) {
reg_t curr_vec;
/*
* if fewer elements are stored on the right side of the array,
* then next elements are loaded from the right side,
* otherwise from the left side
*/
if ((l_store + unpartitioned + vtype::numlanes) - right <
left - l_store) {
right -= vtype::numlanes;
curr_vec = vtype::loadu(arr + right);
} else {
curr_vec = vtype::loadu(arr + left);
left += vtype::numlanes;
}
// partition the current vector and save it on both sides of the array
arrsize_t amount_ge_pivot =
partition_vec<vtype>(arr + l_store, arr + l_store + unpartitioned,
curr_vec, pivot_vec, min_vec, max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
unpartitioned -= vtype::numlanes;
}
/* partition and save vec_left and vec_right */
arrsize_t amount_ge_pivot =
partition_vec<vtype>(arr + l_store, arr + l_store + unpartitioned,
vec_left, pivot_vec, min_vec, max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
unpartitioned -= vtype::numlanes;
amount_ge_pivot =
partition_vec<vtype>(arr + l_store, arr + l_store + unpartitioned,
vec_right, pivot_vec, min_vec, max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
unpartitioned -= vtype::numlanes;
*smallest = vtype::reducemin(min_vec);
*biggest = vtype::reducemax(max_vec);
return l_store;
}
template <typename vtype, int num_unroll,
typename type_t = typename vtype::type_t>
X86_SIMD_SORT_INLINE arrsize_t
partition_avx512_unrolled(type_t *arr, arrsize_t left, arrsize_t right,
type_t pivot, type_t *smallest, type_t *biggest, bool use_gt) {
if constexpr (num_unroll == 0) {
return partition_avx512<vtype>(arr, left, right, pivot, smallest,
biggest, use_gt);
}
/* Use regular partition_avx512 for smaller arrays */
if (right - left < 3 * num_unroll * vtype::numlanes) {
return partition_avx512<vtype>(arr, left, right, pivot, smallest,
biggest, use_gt);
}
auto comparison_func = use_gt ? comparison_func_gt<vtype> : comparison_func_ge<vtype>;
/* make array length divisible by vtype::numlanes, shortening the array */
for (int32_t i = ((right - left) % (vtype::numlanes)); i > 0; --i) {
*smallest = std::min(*smallest, arr[left], comparison_func);
*biggest = std::max(*biggest, arr[left], comparison_func);
if (!comparison_func(arr[left], pivot)) {
std::swap(arr[left], arr[--right]);
} else {
++left;
}
}
arrsize_t unpartitioned = right - left - vtype::numlanes;
arrsize_t l_store = left;
using reg_t = typename vtype::reg_t;
reg_t pivot_vec = vtype::set1(pivot);
reg_t min_vec = vtype::set1(*smallest);
reg_t max_vec = vtype::set1(*biggest);
/* Calculate and load more registers to make the rest of the array a
* multiple of num_unroll. These registers will be partitioned at the very
* end. */
int vecsToPartition = ((right - left) / vtype::numlanes) % num_unroll;
reg_t vec_align[num_unroll];
for (int i = 0; i < vecsToPartition; i++) {
vec_align[i] = vtype::loadu(arr + left + i * vtype::numlanes);
}
left += vecsToPartition * vtype::numlanes;
/* We will now have atleast 3*num_unroll registers worth of data to
* process. Load left and right vtype::numlanes*num_unroll values into
* registers to make space for in-place parition. The vec_left and
* vec_right registers are partitioned at the end */
reg_t vec_left[num_unroll], vec_right[num_unroll];
X86_SIMD_SORT_UNROLL_LOOP(8)
for (int ii = 0; ii < num_unroll; ++ii) {
vec_left[ii] = vtype::loadu(arr + left + vtype::numlanes * ii);
vec_right[ii] =
vtype::loadu(arr + (right - vtype::numlanes * (num_unroll - ii)));
}
/* indices for loading the elements */
left += num_unroll * vtype::numlanes;
right -= num_unroll * vtype::numlanes;
while (right - left != 0) {
reg_t curr_vec[num_unroll];
/*
* if fewer elements are stored on the right side of the array,
* then next elements are loaded from the right side,
* otherwise from the left side
*/
if ((l_store + unpartitioned + vtype::numlanes) - right <
left - l_store) {
right -= num_unroll * vtype::numlanes;
X86_SIMD_SORT_UNROLL_LOOP(8)
for (int ii = 0; ii < num_unroll; ++ii) {
curr_vec[ii] = vtype::loadu(arr + right + ii * vtype::numlanes);
/*
* error: '_mm_prefetch' needs target feature mmx on clang-cl
*/
#if !(defined(_MSC_VER) && defined(__clang__))
_mm_prefetch((char *)(arr + right + ii * vtype::numlanes -
num_unroll * vtype::numlanes),
_MM_HINT_T0);
#endif
}
} else {
X86_SIMD_SORT_UNROLL_LOOP(8)
for (int ii = 0; ii < num_unroll; ++ii) {
curr_vec[ii] = vtype::loadu(arr + left + ii * vtype::numlanes);
/*
* error: '_mm_prefetch' needs target feature mmx on clang-cl
*/
#if !(defined(_MSC_VER) && defined(__clang__))
_mm_prefetch((char *)(arr + left + ii * vtype::numlanes +
num_unroll * vtype::numlanes),
_MM_HINT_T0);
#endif
}
left += num_unroll * vtype::numlanes;
}
/* partition the current vector and save it on both sides of the array
* */
X86_SIMD_SORT_UNROLL_LOOP(8)
for (int ii = 0; ii < num_unroll; ++ii) {
arrsize_t amount_ge_pivot = partition_vec<vtype>(
arr + l_store, arr + l_store + unpartitioned, curr_vec[ii],
pivot_vec, min_vec, max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
unpartitioned -= vtype::numlanes;
}
}
/* partition and save vec_left[num_unroll] and vec_right[num_unroll] */
X86_SIMD_SORT_UNROLL_LOOP(8)
for (int ii = 0; ii < num_unroll; ++ii) {
arrsize_t amount_ge_pivot =
partition_vec<vtype>(arr + l_store, arr + l_store + unpartitioned,
vec_left[ii], pivot_vec, min_vec, max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
unpartitioned -= vtype::numlanes;
}
X86_SIMD_SORT_UNROLL_LOOP(8)
for (int ii = 0; ii < num_unroll; ++ii) {
arrsize_t amount_ge_pivot =
partition_vec<vtype>(arr + l_store, arr + l_store + unpartitioned,
vec_right[ii], pivot_vec, min_vec, max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
unpartitioned -= vtype::numlanes;
}
/* partition and save vec_align[vecsToPartition] */
X86_SIMD_SORT_UNROLL_LOOP(8)
for (int ii = 0; ii < vecsToPartition; ++ii) {
arrsize_t amount_ge_pivot =
partition_vec<vtype>(arr + l_store, arr + l_store + unpartitioned,
vec_align[ii], pivot_vec, min_vec, max_vec, use_gt);
l_store += (vtype::numlanes - amount_ge_pivot);
unpartitioned -= vtype::numlanes;
}
*smallest = vtype::reducemin(min_vec);
*biggest = vtype::reducemax(max_vec);
return l_store;
}
template <typename vtype, int maxN>
void sort_n(typename vtype::type_t *arr, int N);
template <typename vtype, typename type_t>
static void qsort_(type_t *arr, arrsize_t left, arrsize_t right,
arrsize_t max_iters) {
/*
* Resort to std::sort if quicksort isnt making any progress
*/
if (max_iters <= 0) {
std::sort(arr + left, arr + right + 1, comparison_func_ge<vtype>);
return;
}
/*
* Base case: use bitonic networks to sort arrays <=
* vtype::network_sort_threshold
*/
if (right + 1 - left <= vtype::network_sort_threshold) {
sort_n<vtype, vtype::network_sort_threshold>(
arr + left, (int32_t)(right + 1 - left));
return;
}
type_t pivot = get_pivot_blocks<vtype, type_t>(arr, left, right);
type_t smallest = vtype::type_max();
type_t biggest = vtype::type_min();
arrsize_t pivot_index =
partition_avx512_unrolled<vtype, vtype::partition_unroll_factor>(
arr, left, right + 1, pivot, &smallest, &biggest, false);
if (pivot != smallest)
qsort_<vtype>(arr, left, pivot_index - 1, max_iters - 1);
if (pivot != biggest) qsort_<vtype>(arr, pivot_index, right, max_iters - 1);
}
// Hooks for OpenJDK sort
// to_index (exclusive)
template <typename vtype, typename type_t>
static int64_t vectorized_partition(type_t *arr, int64_t from_index, int64_t to_index, type_t pivot, bool use_gt) {
type_t smallest = vtype::type_max();
type_t biggest = vtype::type_min();
int64_t pivot_index = partition_avx512_unrolled<vtype, 2>(
arr, from_index, to_index, pivot, &smallest, &biggest, use_gt);
return pivot_index;
}
// partitioning functions
template <typename vtype, typename T>
X86_SIMD_SORT_INLINE void simd_dual_pivot_partition(T *arr, int64_t from_index, int64_t to_index, int32_t *pivot_indices, int64_t index_pivot1, int64_t index_pivot2){
const T pivot1 = arr[index_pivot1];
const T pivot2 = arr[index_pivot2];
const int64_t low = from_index;
const int64_t high = to_index;
const int64_t start = low + 1;
const int64_t end = high - 1;
std::swap(arr[index_pivot1], arr[low]);
std::swap(arr[index_pivot2], arr[end]);
const int64_t pivot_index2 = vectorized_partition<vtype, T>(arr, start, end, pivot2, true); // use_gt = true
std::swap(arr[end], arr[pivot_index2]);
int64_t upper = pivot_index2;
// if all other elements are greater than pivot2 (and pivot1), no need to do further partitioning
if (upper == start) {
pivot_indices[0] = low;
pivot_indices[1] = upper;
return;
}
const int64_t pivot_index1 = vectorized_partition<vtype, T>(arr, start, upper, pivot1, false); // use_ge (use_gt = false)
int64_t lower = pivot_index1 - 1;
std::swap(arr[low], arr[lower]);
pivot_indices[0] = lower;
pivot_indices[1] = upper;
}
template <typename vtype, typename T>
X86_SIMD_SORT_INLINE void simd_single_pivot_partition(T *arr, int64_t from_index, int64_t to_index, int32_t *pivot_indices, int64_t index_pivot) {
const T pivot = arr[index_pivot];
const int64_t low = from_index;
const int64_t high = to_index;
const int64_t end = high - 1;
const int64_t pivot_index1 = vectorized_partition<vtype, T>(arr, low, high, pivot, false); // use_gt = false (use_ge)
int64_t lower = pivot_index1;
const int64_t pivot_index2 = vectorized_partition<vtype, T>(arr, pivot_index1, high, pivot, true); // use_gt = true
int64_t upper = pivot_index2;
pivot_indices[0] = lower;
pivot_indices[1] = upper;
}
template <typename vtype, typename T>
X86_SIMD_SORT_INLINE void simd_fast_partition(T *arr, int64_t from_index, int64_t to_index, int32_t *pivot_indices, int64_t index_pivot1, int64_t index_pivot2) {
if (index_pivot1 != index_pivot2) {
simd_dual_pivot_partition<vtype, T>(arr, from_index, to_index, pivot_indices, index_pivot1, index_pivot2);
}
else {
simd_single_pivot_partition<vtype, T>(arr, from_index, to_index, pivot_indices, index_pivot1);
}
}
template <typename T>
X86_SIMD_SORT_INLINE void insertion_sort(T *arr, int32_t from_index, int32_t to_index) {
for (int i, k = from_index; ++k < to_index; ) {
T ai = arr[i = k];
if (ai < arr[i - 1]) {
while (--i >= from_index && ai < arr[i]) {
arr[i + 1] = arr[i];
}
arr[i + 1] = ai;
}
}
}
template <typename vtype, typename T>
X86_SIMD_SORT_INLINE void simd_fast_sort(T *arr, arrsize_t from_index, arrsize_t to_index, const arrsize_t INS_SORT_THRESHOLD)
{
arrsize_t arrsize = to_index - from_index;
if (arrsize <= INS_SORT_THRESHOLD) {
insertion_sort<T>(arr, from_index, to_index);
} else {
qsort_<vtype, T>(arr, from_index, to_index - 1, 2 * (arrsize_t)log2(arrsize));
}
}
#define DEFINE_METHODS(ISA, VTYPE) \
template <typename T> \
X86_SIMD_SORT_INLINE void ISA##_fast_sort( \
T *arr, arrsize_t from_index, arrsize_t to_index, const arrsize_t INS_SORT_THRESHOLD) \
{ \
simd_fast_sort<VTYPE, T>(arr, from_index, to_index, INS_SORT_THRESHOLD); \
} \
template <typename T> \
X86_SIMD_SORT_INLINE void ISA##_fast_partition( \
T *arr, int64_t from_index, int64_t to_index, int32_t *pivot_indices, int64_t index_pivot1, int64_t index_pivot2) \
{ \
simd_fast_partition<VTYPE, T>(arr, from_index, to_index, pivot_indices, index_pivot1, index_pivot2); \
}
DEFINE_METHODS(avx2, avx2_vector<T>)
DEFINE_METHODS(avx512, zmm_vector<T>)
#endif // XSS_COMMON_QSORT

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/*
* Copyright (c) 2021, 2023, Intel Corporation. All rights reserved.
* Copyright (c) 2021 Serge Sans Paille. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
// This implementation is based on x86-simd-sort(https://github.com/intel/x86-simd-sort)
#ifndef XSS_NETWORK_QSORT
#define XSS_NETWORK_QSORT
#include "xss-common-qsort.h"
#include "xss-optimal-networks.hpp"
template <typename vtype, int numVecs, typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_FINLINE void bitonic_sort_n_vec(reg_t *regs) {
if constexpr (numVecs == 1) {
UNUSED(regs);
return;
} else if constexpr (numVecs == 2) {
COEX<vtype>(regs[0], regs[1]);
} else if constexpr (numVecs == 4) {
optimal_sort_4<vtype>(regs);
} else if constexpr (numVecs == 8) {
optimal_sort_8<vtype>(regs);
} else if constexpr (numVecs == 16) {
optimal_sort_16<vtype>(regs);
} else if constexpr (numVecs == 32) {
optimal_sort_32<vtype>(regs);
} else {
static_assert(numVecs == -1, "should not reach here");
}
}
/*
* Swizzle ops explained:
* swap_n<scale>: swap neighbouring blocks of size <scale/2> within block of
* size <scale> reg i = [7,6,5,4,3,2,1,0] swap_n<2>: =
* [[6,7],[4,5],[2,3],[0,1]] swap_n<4>: = [[5,4,7,6],[1,0,3,2]] swap_n<8>: =
* [[3,2,1,0,7,6,5,4]] reverse_n<scale>: reverse elements within block of size
* <scale> reg i = [7,6,5,4,3,2,1,0] rev_n<2>: =
* [[6,7],[4,5],[2,3],[0,1]] rev_n<4>: = [[4,5,6,7],[0,1,2,3]] rev_n<8>: =
* [[0,1,2,3,4,5,6,7]] merge_n<scale>: merge blocks of <scale/2> elements from
* two regs reg b,a = [a,a,a,a,a,a,a,a], [b,b,b,b,b,b,b,b] merge_n<2> =
* [a,b,a,b,a,b,a,b] merge_n<4> = [a,a,b,b,a,a,b,b] merge_n<8> =
* [a,a,a,a,b,b,b,b]
*/
template <typename vtype, int numVecs, int scale, bool first = true>
X86_SIMD_SORT_FINLINE void internal_merge_n_vec(typename vtype::reg_t *reg) {
using reg_t = typename vtype::reg_t;
using swizzle = typename vtype::swizzle_ops;
if constexpr (scale <= 1) {
UNUSED(reg);
return;
} else {
if constexpr (first) {
// Use reverse then merge
X86_SIMD_SORT_UNROLL_LOOP(64)
for (int i = 0; i < numVecs; i++) {
reg_t &v = reg[i];
reg_t rev = swizzle::template reverse_n<vtype, scale>(v);
COEX<vtype>(rev, v);
v = swizzle::template merge_n<vtype, scale>(v, rev);
}
} else {
// Use swap then merge
X86_SIMD_SORT_UNROLL_LOOP(64)
for (int i = 0; i < numVecs; i++) {
reg_t &v = reg[i];
reg_t swap = swizzle::template swap_n<vtype, scale>(v);
COEX<vtype>(swap, v);
v = swizzle::template merge_n<vtype, scale>(v, swap);
}
}
internal_merge_n_vec<vtype, numVecs, scale / 2, false>(reg);
}
}
template <typename vtype, int numVecs, int scale,
typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_FINLINE void merge_substep_n_vec(reg_t *regs) {
using swizzle = typename vtype::swizzle_ops;
if constexpr (numVecs <= 1) {
UNUSED(regs);
return;
}
// Reverse upper half of vectors
X86_SIMD_SORT_UNROLL_LOOP(64)
for (int i = numVecs / 2; i < numVecs; i++) {
regs[i] = swizzle::template reverse_n<vtype, scale>(regs[i]);
}
// Do compare exchanges
X86_SIMD_SORT_UNROLL_LOOP(64)
for (int i = 0; i < numVecs / 2; i++) {
COEX<vtype>(regs[i], regs[numVecs - 1 - i]);
}
merge_substep_n_vec<vtype, numVecs / 2, scale>(regs);
merge_substep_n_vec<vtype, numVecs / 2, scale>(regs + numVecs / 2);
}
template <typename vtype, int numVecs, int scale,
typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_FINLINE void merge_step_n_vec(reg_t *regs) {
// Do cross vector merges
merge_substep_n_vec<vtype, numVecs, scale>(regs);
// Do internal vector merges
internal_merge_n_vec<vtype, numVecs, scale>(regs);
}
template <typename vtype, int numVecs, int numPer = 2,
typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_FINLINE void merge_n_vec(reg_t *regs) {
if constexpr (numPer > vtype::numlanes) {
UNUSED(regs);
return;
} else {
merge_step_n_vec<vtype, numVecs, numPer>(regs);
merge_n_vec<vtype, numVecs, numPer * 2>(regs);
}
}
template <typename vtype, int numVecs, typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_INLINE void sort_n_vec(typename vtype::type_t *arr, int N) {
static_assert(numVecs > 0, "numVecs should be > 0");
if constexpr (numVecs > 1) {
if (N * 2 <= numVecs * vtype::numlanes) {
sort_n_vec<vtype, numVecs / 2>(arr, N);
return;
}
}
reg_t vecs[numVecs];
// Generate masks for loading and storing
typename vtype::opmask_t ioMasks[numVecs - numVecs / 2];
X86_SIMD_SORT_UNROLL_LOOP(64)
for (int i = numVecs / 2, j = 0; i < numVecs; i++, j++) {
uint64_t num_to_read =
std::min((uint64_t)std::max(0, N - i * vtype::numlanes),
(uint64_t)vtype::numlanes);
ioMasks[j] = vtype::get_partial_loadmask(num_to_read);
}
// Unmasked part of the load
X86_SIMD_SORT_UNROLL_LOOP(64)
for (int i = 0; i < numVecs / 2; i++) {
vecs[i] = vtype::loadu(arr + i * vtype::numlanes);
}
// Masked part of the load
X86_SIMD_SORT_UNROLL_LOOP(64)
for (int i = numVecs / 2, j = 0; i < numVecs; i++, j++) {
vecs[i] = vtype::mask_loadu(vtype::zmm_max(), ioMasks[j],
arr + i * vtype::numlanes);
}
/* Run the initial sorting network to sort the columns of the [numVecs x
* num_lanes] matrix
*/
bitonic_sort_n_vec<vtype, numVecs>(vecs);
// Merge the vectors using bitonic merging networks
merge_n_vec<vtype, numVecs>(vecs);
// Unmasked part of the store
X86_SIMD_SORT_UNROLL_LOOP(64)
for (int i = 0; i < numVecs / 2; i++) {
vtype::storeu(arr + i * vtype::numlanes, vecs[i]);
}
// Masked part of the store
X86_SIMD_SORT_UNROLL_LOOP(64)
for (int i = numVecs / 2, j = 0; i < numVecs; i++, j++) {
vtype::mask_storeu(arr + i * vtype::numlanes, ioMasks[j], vecs[i]);
}
}
template <typename vtype, int maxN>
X86_SIMD_SORT_INLINE void sort_n(typename vtype::type_t *arr, int N) {
constexpr int numVecs = maxN / vtype::numlanes;
constexpr bool isMultiple = (maxN == (vtype::numlanes * numVecs));
constexpr bool powerOfTwo = (numVecs != 0 && !(numVecs & (numVecs - 1)));
static_assert(powerOfTwo == true && isMultiple == true,
"maxN must be vtype::numlanes times a power of 2");
sort_n_vec<vtype, numVecs>(arr, N);
}
#endif

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/*
* Copyright (c) 2021, 2023, Intel Corporation. All rights reserved.
* Copyright (c) 2021 Serge Sans Paille. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
// This implementation is based on x86-simd-sort(https://github.com/intel/x86-simd-sort) All of these sources
// files are generated from the optimal networks described in
// https://bertdobbelaere.github.io/sorting_networks.html
template <typename vtype, typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_FINLINE void optimal_sort_4(reg_t *vecs) {
COEX<vtype>(vecs[0], vecs[2]);
COEX<vtype>(vecs[1], vecs[3]);
COEX<vtype>(vecs[0], vecs[1]);
COEX<vtype>(vecs[2], vecs[3]);
COEX<vtype>(vecs[1], vecs[2]);
}
template <typename vtype, typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_FINLINE void optimal_sort_8(reg_t *vecs) {
COEX<vtype>(vecs[0], vecs[2]);
COEX<vtype>(vecs[1], vecs[3]);
COEX<vtype>(vecs[4], vecs[6]);
COEX<vtype>(vecs[5], vecs[7]);
COEX<vtype>(vecs[0], vecs[4]);
COEX<vtype>(vecs[1], vecs[5]);
COEX<vtype>(vecs[2], vecs[6]);
COEX<vtype>(vecs[3], vecs[7]);
COEX<vtype>(vecs[0], vecs[1]);
COEX<vtype>(vecs[2], vecs[3]);
COEX<vtype>(vecs[4], vecs[5]);
COEX<vtype>(vecs[6], vecs[7]);
COEX<vtype>(vecs[2], vecs[4]);
COEX<vtype>(vecs[3], vecs[5]);
COEX<vtype>(vecs[1], vecs[4]);
COEX<vtype>(vecs[3], vecs[6]);
COEX<vtype>(vecs[1], vecs[2]);
COEX<vtype>(vecs[3], vecs[4]);
COEX<vtype>(vecs[5], vecs[6]);
}
template <typename vtype, typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_FINLINE void optimal_sort_16(reg_t *vecs) {
COEX<vtype>(vecs[0], vecs[13]);
COEX<vtype>(vecs[1], vecs[12]);
COEX<vtype>(vecs[2], vecs[15]);
COEX<vtype>(vecs[3], vecs[14]);
COEX<vtype>(vecs[4], vecs[8]);
COEX<vtype>(vecs[5], vecs[6]);
COEX<vtype>(vecs[7], vecs[11]);
COEX<vtype>(vecs[9], vecs[10]);
COEX<vtype>(vecs[0], vecs[5]);
COEX<vtype>(vecs[1], vecs[7]);
COEX<vtype>(vecs[2], vecs[9]);
COEX<vtype>(vecs[3], vecs[4]);
COEX<vtype>(vecs[6], vecs[13]);
COEX<vtype>(vecs[8], vecs[14]);
COEX<vtype>(vecs[10], vecs[15]);
COEX<vtype>(vecs[11], vecs[12]);
COEX<vtype>(vecs[0], vecs[1]);
COEX<vtype>(vecs[2], vecs[3]);
COEX<vtype>(vecs[4], vecs[5]);
COEX<vtype>(vecs[6], vecs[8]);
COEX<vtype>(vecs[7], vecs[9]);
COEX<vtype>(vecs[10], vecs[11]);
COEX<vtype>(vecs[12], vecs[13]);
COEX<vtype>(vecs[14], vecs[15]);
COEX<vtype>(vecs[0], vecs[2]);
COEX<vtype>(vecs[1], vecs[3]);
COEX<vtype>(vecs[4], vecs[10]);
COEX<vtype>(vecs[5], vecs[11]);
COEX<vtype>(vecs[6], vecs[7]);
COEX<vtype>(vecs[8], vecs[9]);
COEX<vtype>(vecs[12], vecs[14]);
COEX<vtype>(vecs[13], vecs[15]);
COEX<vtype>(vecs[1], vecs[2]);
COEX<vtype>(vecs[3], vecs[12]);
COEX<vtype>(vecs[4], vecs[6]);
COEX<vtype>(vecs[5], vecs[7]);
COEX<vtype>(vecs[8], vecs[10]);
COEX<vtype>(vecs[9], vecs[11]);
COEX<vtype>(vecs[13], vecs[14]);
COEX<vtype>(vecs[1], vecs[4]);
COEX<vtype>(vecs[2], vecs[6]);
COEX<vtype>(vecs[5], vecs[8]);
COEX<vtype>(vecs[7], vecs[10]);
COEX<vtype>(vecs[9], vecs[13]);
COEX<vtype>(vecs[11], vecs[14]);
COEX<vtype>(vecs[2], vecs[4]);
COEX<vtype>(vecs[3], vecs[6]);
COEX<vtype>(vecs[9], vecs[12]);
COEX<vtype>(vecs[11], vecs[13]);
COEX<vtype>(vecs[3], vecs[5]);
COEX<vtype>(vecs[6], vecs[8]);
COEX<vtype>(vecs[7], vecs[9]);
COEX<vtype>(vecs[10], vecs[12]);
COEX<vtype>(vecs[3], vecs[4]);
COEX<vtype>(vecs[5], vecs[6]);
COEX<vtype>(vecs[7], vecs[8]);
COEX<vtype>(vecs[9], vecs[10]);
COEX<vtype>(vecs[11], vecs[12]);
COEX<vtype>(vecs[6], vecs[7]);
COEX<vtype>(vecs[8], vecs[9]);
}
template <typename vtype, typename reg_t = typename vtype::reg_t>
X86_SIMD_SORT_FINLINE void optimal_sort_32(reg_t *vecs) {
COEX<vtype>(vecs[0], vecs[1]);
COEX<vtype>(vecs[2], vecs[3]);
COEX<vtype>(vecs[4], vecs[5]);
COEX<vtype>(vecs[6], vecs[7]);
COEX<vtype>(vecs[8], vecs[9]);
COEX<vtype>(vecs[10], vecs[11]);
COEX<vtype>(vecs[12], vecs[13]);
COEX<vtype>(vecs[14], vecs[15]);
COEX<vtype>(vecs[16], vecs[17]);
COEX<vtype>(vecs[18], vecs[19]);
COEX<vtype>(vecs[20], vecs[21]);
COEX<vtype>(vecs[22], vecs[23]);
COEX<vtype>(vecs[24], vecs[25]);
COEX<vtype>(vecs[26], vecs[27]);
COEX<vtype>(vecs[28], vecs[29]);
COEX<vtype>(vecs[30], vecs[31]);
COEX<vtype>(vecs[0], vecs[2]);
COEX<vtype>(vecs[1], vecs[3]);
COEX<vtype>(vecs[4], vecs[6]);
COEX<vtype>(vecs[5], vecs[7]);
COEX<vtype>(vecs[8], vecs[10]);
COEX<vtype>(vecs[9], vecs[11]);
COEX<vtype>(vecs[12], vecs[14]);
COEX<vtype>(vecs[13], vecs[15]);
COEX<vtype>(vecs[16], vecs[18]);
COEX<vtype>(vecs[17], vecs[19]);
COEX<vtype>(vecs[20], vecs[22]);
COEX<vtype>(vecs[21], vecs[23]);
COEX<vtype>(vecs[24], vecs[26]);
COEX<vtype>(vecs[25], vecs[27]);
COEX<vtype>(vecs[28], vecs[30]);
COEX<vtype>(vecs[29], vecs[31]);
COEX<vtype>(vecs[0], vecs[4]);
COEX<vtype>(vecs[1], vecs[5]);
COEX<vtype>(vecs[2], vecs[6]);
COEX<vtype>(vecs[3], vecs[7]);
COEX<vtype>(vecs[8], vecs[12]);
COEX<vtype>(vecs[9], vecs[13]);
COEX<vtype>(vecs[10], vecs[14]);
COEX<vtype>(vecs[11], vecs[15]);
COEX<vtype>(vecs[16], vecs[20]);
COEX<vtype>(vecs[17], vecs[21]);
COEX<vtype>(vecs[18], vecs[22]);
COEX<vtype>(vecs[19], vecs[23]);
COEX<vtype>(vecs[24], vecs[28]);
COEX<vtype>(vecs[25], vecs[29]);
COEX<vtype>(vecs[26], vecs[30]);
COEX<vtype>(vecs[27], vecs[31]);
COEX<vtype>(vecs[0], vecs[8]);
COEX<vtype>(vecs[1], vecs[9]);
COEX<vtype>(vecs[2], vecs[10]);
COEX<vtype>(vecs[3], vecs[11]);
COEX<vtype>(vecs[4], vecs[12]);
COEX<vtype>(vecs[5], vecs[13]);
COEX<vtype>(vecs[6], vecs[14]);
COEX<vtype>(vecs[7], vecs[15]);
COEX<vtype>(vecs[16], vecs[24]);
COEX<vtype>(vecs[17], vecs[25]);
COEX<vtype>(vecs[18], vecs[26]);
COEX<vtype>(vecs[19], vecs[27]);
COEX<vtype>(vecs[20], vecs[28]);
COEX<vtype>(vecs[21], vecs[29]);
COEX<vtype>(vecs[22], vecs[30]);
COEX<vtype>(vecs[23], vecs[31]);
COEX<vtype>(vecs[0], vecs[16]);
COEX<vtype>(vecs[1], vecs[8]);
COEX<vtype>(vecs[2], vecs[4]);
COEX<vtype>(vecs[3], vecs[12]);
COEX<vtype>(vecs[5], vecs[10]);
COEX<vtype>(vecs[6], vecs[9]);
COEX<vtype>(vecs[7], vecs[14]);
COEX<vtype>(vecs[11], vecs[13]);
COEX<vtype>(vecs[15], vecs[31]);
COEX<vtype>(vecs[17], vecs[24]);
COEX<vtype>(vecs[18], vecs[20]);
COEX<vtype>(vecs[19], vecs[28]);
COEX<vtype>(vecs[21], vecs[26]);
COEX<vtype>(vecs[22], vecs[25]);
COEX<vtype>(vecs[23], vecs[30]);
COEX<vtype>(vecs[27], vecs[29]);
COEX<vtype>(vecs[1], vecs[2]);
COEX<vtype>(vecs[3], vecs[5]);
COEX<vtype>(vecs[4], vecs[8]);
COEX<vtype>(vecs[6], vecs[22]);
COEX<vtype>(vecs[7], vecs[11]);
COEX<vtype>(vecs[9], vecs[25]);
COEX<vtype>(vecs[10], vecs[12]);
COEX<vtype>(vecs[13], vecs[14]);
COEX<vtype>(vecs[17], vecs[18]);
COEX<vtype>(vecs[19], vecs[21]);
COEX<vtype>(vecs[20], vecs[24]);
COEX<vtype>(vecs[23], vecs[27]);
COEX<vtype>(vecs[26], vecs[28]);
COEX<vtype>(vecs[29], vecs[30]);
COEX<vtype>(vecs[1], vecs[17]);
COEX<vtype>(vecs[2], vecs[18]);
COEX<vtype>(vecs[3], vecs[19]);
COEX<vtype>(vecs[4], vecs[20]);
COEX<vtype>(vecs[5], vecs[10]);
COEX<vtype>(vecs[7], vecs[23]);
COEX<vtype>(vecs[8], vecs[24]);
COEX<vtype>(vecs[11], vecs[27]);
COEX<vtype>(vecs[12], vecs[28]);
COEX<vtype>(vecs[13], vecs[29]);
COEX<vtype>(vecs[14], vecs[30]);
COEX<vtype>(vecs[21], vecs[26]);
COEX<vtype>(vecs[3], vecs[17]);
COEX<vtype>(vecs[4], vecs[16]);
COEX<vtype>(vecs[5], vecs[21]);
COEX<vtype>(vecs[6], vecs[18]);
COEX<vtype>(vecs[7], vecs[9]);
COEX<vtype>(vecs[8], vecs[20]);
COEX<vtype>(vecs[10], vecs[26]);
COEX<vtype>(vecs[11], vecs[23]);
COEX<vtype>(vecs[13], vecs[25]);
COEX<vtype>(vecs[14], vecs[28]);
COEX<vtype>(vecs[15], vecs[27]);
COEX<vtype>(vecs[22], vecs[24]);
COEX<vtype>(vecs[1], vecs[4]);
COEX<vtype>(vecs[3], vecs[8]);
COEX<vtype>(vecs[5], vecs[16]);
COEX<vtype>(vecs[7], vecs[17]);
COEX<vtype>(vecs[9], vecs[21]);
COEX<vtype>(vecs[10], vecs[22]);
COEX<vtype>(vecs[11], vecs[19]);
COEX<vtype>(vecs[12], vecs[20]);
COEX<vtype>(vecs[14], vecs[24]);
COEX<vtype>(vecs[15], vecs[26]);
COEX<vtype>(vecs[23], vecs[28]);
COEX<vtype>(vecs[27], vecs[30]);
COEX<vtype>(vecs[2], vecs[5]);
COEX<vtype>(vecs[7], vecs[8]);
COEX<vtype>(vecs[9], vecs[18]);
COEX<vtype>(vecs[11], vecs[17]);
COEX<vtype>(vecs[12], vecs[16]);
COEX<vtype>(vecs[13], vecs[22]);
COEX<vtype>(vecs[14], vecs[20]);
COEX<vtype>(vecs[15], vecs[19]);
COEX<vtype>(vecs[23], vecs[24]);
COEX<vtype>(vecs[26], vecs[29]);
COEX<vtype>(vecs[2], vecs[4]);
COEX<vtype>(vecs[6], vecs[12]);
COEX<vtype>(vecs[9], vecs[16]);
COEX<vtype>(vecs[10], vecs[11]);
COEX<vtype>(vecs[13], vecs[17]);
COEX<vtype>(vecs[14], vecs[18]);
COEX<vtype>(vecs[15], vecs[22]);
COEX<vtype>(vecs[19], vecs[25]);
COEX<vtype>(vecs[20], vecs[21]);
COEX<vtype>(vecs[27], vecs[29]);
COEX<vtype>(vecs[5], vecs[6]);
COEX<vtype>(vecs[8], vecs[12]);
COEX<vtype>(vecs[9], vecs[10]);
COEX<vtype>(vecs[11], vecs[13]);
COEX<vtype>(vecs[14], vecs[16]);
COEX<vtype>(vecs[15], vecs[17]);
COEX<vtype>(vecs[18], vecs[20]);
COEX<vtype>(vecs[19], vecs[23]);
COEX<vtype>(vecs[21], vecs[22]);
COEX<vtype>(vecs[25], vecs[26]);
COEX<vtype>(vecs[3], vecs[5]);
COEX<vtype>(vecs[6], vecs[7]);
COEX<vtype>(vecs[8], vecs[9]);
COEX<vtype>(vecs[10], vecs[12]);
COEX<vtype>(vecs[11], vecs[14]);
COEX<vtype>(vecs[13], vecs[16]);
COEX<vtype>(vecs[15], vecs[18]);
COEX<vtype>(vecs[17], vecs[20]);
COEX<vtype>(vecs[19], vecs[21]);
COEX<vtype>(vecs[22], vecs[23]);
COEX<vtype>(vecs[24], vecs[25]);
COEX<vtype>(vecs[26], vecs[28]);
COEX<vtype>(vecs[3], vecs[4]);
COEX<vtype>(vecs[5], vecs[6]);
COEX<vtype>(vecs[7], vecs[8]);
COEX<vtype>(vecs[9], vecs[10]);
COEX<vtype>(vecs[11], vecs[12]);
COEX<vtype>(vecs[13], vecs[14]);
COEX<vtype>(vecs[15], vecs[16]);
COEX<vtype>(vecs[17], vecs[18]);
COEX<vtype>(vecs[19], vecs[20]);
COEX<vtype>(vecs[21], vecs[22]);
COEX<vtype>(vecs[23], vecs[24]);
COEX<vtype>(vecs[25], vecs[26]);
COEX<vtype>(vecs[27], vecs[28]);
}

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@ -0,0 +1,88 @@
/*
* Copyright (c) 2021, 2023, Intel Corporation. All rights reserved.
* Copyright (c) 2021 Serge Sans Paille. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation.
*
* This code 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
* version 2 for more details (a copy is included in the LICENSE file that
* accompanied this code).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*
*/
// This implementation is based on x86-simd-sort(https://github.com/intel/x86-simd-sort)
template <typename vtype, typename mm_t>
X86_SIMD_SORT_INLINE void COEX(mm_t &a, mm_t &b);
template <typename vtype, typename type_t>
X86_SIMD_SORT_INLINE type_t get_pivot(type_t *arr, const arrsize_t left,
const arrsize_t right) {
using reg_t = typename vtype::reg_t;
type_t samples[vtype::numlanes];
arrsize_t delta = (right - left) / vtype::numlanes;
for (int i = 0; i < vtype::numlanes; i++) {
samples[i] = arr[left + i * delta];
}
reg_t rand_vec = vtype::loadu(samples);
reg_t sort = vtype::sort_vec(rand_vec);
return ((type_t *)&sort)[vtype::numlanes / 2];
}
template <typename vtype, typename type_t>
X86_SIMD_SORT_INLINE type_t get_pivot_blocks(type_t *arr, const arrsize_t left,
const arrsize_t right) {
if (right - left <= 1024) {
return get_pivot<vtype>(arr, left, right);
}
using reg_t = typename vtype::reg_t;
constexpr int numVecs = 5;
arrsize_t width = (right - vtype::numlanes) - left;
arrsize_t delta = width / numVecs;
reg_t vecs[numVecs];
// Load data
for (int i = 0; i < numVecs; i++) {
vecs[i] = vtype::loadu(arr + left + delta * i);
}
// Implement sorting network (from
// https://bertdobbelaere.github.io/sorting_networks.html)
COEX<vtype>(vecs[0], vecs[3]);
COEX<vtype>(vecs[1], vecs[4]);
COEX<vtype>(vecs[0], vecs[2]);
COEX<vtype>(vecs[1], vecs[3]);
COEX<vtype>(vecs[0], vecs[1]);
COEX<vtype>(vecs[2], vecs[4]);
COEX<vtype>(vecs[1], vecs[2]);
COEX<vtype>(vecs[3], vecs[4]);
COEX<vtype>(vecs[2], vecs[3]);
// Calculate median of the middle vector
reg_t &vec = vecs[numVecs / 2];
vec = vtype::sort_vec(vec);
type_t data[vtype::numlanes];
vtype::storeu(data, vec);
return data[vtype::numlanes / 2];
}