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c2b6df6e60
All cuda `__half` functions are device-only in CUDA 9, including conversions. Host-side conversions were added in CUDA 10. The existing code doesn't build prior to 10.0. All arithmetic functions are always device-only, so there's therefore no reason to use vectorization on the host at all. Modified the code to disable vectorization for `__half` on host, which required also updating the `TensorReductionGpu` implementation which previously made assumptions about available packets. (cherry picked from commit cc3573ab4451853774cd5c3497373d5fe8914774)
1650 lines
54 KiB
C++
1650 lines
54 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2014 Benoit Steiner <benoit.steiner.goog@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef EIGEN_PACKET_MATH_GPU_H
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#define EIGEN_PACKET_MATH_GPU_H
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namespace Eigen {
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namespace internal {
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// Read-only data cached load available.
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#if defined(EIGEN_HIP_DEVICE_COMPILE) || (defined(EIGEN_CUDA_ARCH) && EIGEN_CUDA_ARCH >= 350)
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#define EIGEN_GPU_HAS_LDG 1
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#endif
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// FP16 math available.
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#if (defined(EIGEN_CUDA_ARCH) && EIGEN_CUDA_ARCH >= 530)
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#define EIGEN_CUDA_HAS_FP16_ARITHMETIC 1
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#endif
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#if defined(EIGEN_HIP_DEVICE_COMPILE) || defined(EIGEN_CUDA_HAS_FP16_ARITHMETIC)
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#define EIGEN_GPU_HAS_FP16_ARITHMETIC 1
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#endif
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// Make sure this is only available when targeting a GPU: we don't want to
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// introduce conflicts between these packet_traits definitions and the ones
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// we'll use on the host side (SSE, AVX, ...)
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#if defined(EIGEN_GPUCC) && defined(EIGEN_USE_GPU)
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template<> struct is_arithmetic<float4> { enum { value = true }; };
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template<> struct is_arithmetic<double2> { enum { value = true }; };
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template<> struct packet_traits<float> : default_packet_traits
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{
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typedef float4 type;
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typedef float4 half;
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enum {
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Vectorizable = 1,
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AlignedOnScalar = 1,
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size=4,
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HasHalfPacket = 0,
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HasDiv = 1,
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HasSin = 0,
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HasCos = 0,
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HasLog = 1,
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HasExp = 1,
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HasSqrt = 1,
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HasRsqrt = 1,
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HasLGamma = 1,
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HasDiGamma = 1,
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HasZeta = 1,
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HasPolygamma = 1,
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HasErf = 1,
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HasErfc = 1,
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HasNdtri = 1,
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HasBessel = 1,
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HasIGamma = 1,
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HasIGammaDerA = 1,
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HasGammaSampleDerAlpha = 1,
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HasIGammac = 1,
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HasBetaInc = 1,
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HasBlend = 0,
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HasFloor = 1,
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};
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};
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template<> struct packet_traits<double> : default_packet_traits
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{
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typedef double2 type;
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typedef double2 half;
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enum {
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Vectorizable = 1,
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AlignedOnScalar = 1,
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size=2,
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HasHalfPacket = 0,
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HasDiv = 1,
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HasLog = 1,
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HasExp = 1,
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HasSqrt = 1,
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HasRsqrt = 1,
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HasLGamma = 1,
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HasDiGamma = 1,
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HasZeta = 1,
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HasPolygamma = 1,
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HasErf = 1,
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HasErfc = 1,
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HasNdtri = 1,
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HasBessel = 1,
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HasIGamma = 1,
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HasIGammaDerA = 1,
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HasGammaSampleDerAlpha = 1,
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HasIGammac = 1,
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HasBetaInc = 1,
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HasBlend = 0,
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HasFloor = 1,
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};
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};
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template<> struct unpacket_traits<float4> { typedef float type; enum {size=4, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef float4 half; };
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template<> struct unpacket_traits<double2> { typedef double type; enum {size=2, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef double2 half; };
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pset1<float4>(const float& from) {
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return make_float4(from, from, from, from);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pset1<double2>(const double& from) {
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return make_double2(from, from);
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}
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// We need to distinguish ‘clang as the CUDA compiler’ from ‘clang as the host compiler,
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// invoked by NVCC’ (e.g. on MacOS). The former needs to see both host and device implementation
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// of the functions, while the latter can only deal with one of them.
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#if defined(EIGEN_CUDA_ARCH) || defined(EIGEN_HIPCC) || (defined(EIGEN_CUDACC) && EIGEN_COMP_CLANG && !EIGEN_COMP_NVCC)
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namespace {
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float bitwise_and(const float& a,
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const float& b) {
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return __int_as_float(__float_as_int(a) & __float_as_int(b));
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double bitwise_and(const double& a,
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const double& b) {
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return __longlong_as_double(__double_as_longlong(a) &
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__double_as_longlong(b));
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float bitwise_or(const float& a,
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const float& b) {
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return __int_as_float(__float_as_int(a) | __float_as_int(b));
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double bitwise_or(const double& a,
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const double& b) {
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return __longlong_as_double(__double_as_longlong(a) |
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__double_as_longlong(b));
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float bitwise_xor(const float& a,
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const float& b) {
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return __int_as_float(__float_as_int(a) ^ __float_as_int(b));
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double bitwise_xor(const double& a,
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const double& b) {
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return __longlong_as_double(__double_as_longlong(a) ^
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__double_as_longlong(b));
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float bitwise_andnot(const float& a,
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const float& b) {
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return __int_as_float(__float_as_int(a) & ~__float_as_int(b));
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double bitwise_andnot(const double& a,
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const double& b) {
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return __longlong_as_double(__double_as_longlong(a) &
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~__double_as_longlong(b));
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float eq_mask(const float& a,
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const float& b) {
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return __int_as_float(a == b ? 0xffffffffu : 0u);
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double eq_mask(const double& a,
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const double& b) {
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return __longlong_as_double(a == b ? 0xffffffffffffffffull : 0ull);
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float lt_mask(const float& a,
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const float& b) {
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return __int_as_float(a < b ? 0xffffffffu : 0u);
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double lt_mask(const double& a,
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const double& b) {
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return __longlong_as_double(a < b ? 0xffffffffffffffffull : 0ull);
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}
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} // namespace
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pand<float4>(const float4& a,
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const float4& b) {
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return make_float4(bitwise_and(a.x, b.x), bitwise_and(a.y, b.y),
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bitwise_and(a.z, b.z), bitwise_and(a.w, b.w));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pand<double2>(const double2& a,
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const double2& b) {
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return make_double2(bitwise_and(a.x, b.x), bitwise_and(a.y, b.y));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 por<float4>(const float4& a,
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const float4& b) {
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return make_float4(bitwise_or(a.x, b.x), bitwise_or(a.y, b.y),
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bitwise_or(a.z, b.z), bitwise_or(a.w, b.w));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 por<double2>(const double2& a,
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const double2& b) {
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return make_double2(bitwise_or(a.x, b.x), bitwise_or(a.y, b.y));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pxor<float4>(const float4& a,
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const float4& b) {
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return make_float4(bitwise_xor(a.x, b.x), bitwise_xor(a.y, b.y),
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bitwise_xor(a.z, b.z), bitwise_xor(a.w, b.w));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pxor<double2>(const double2& a,
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const double2& b) {
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return make_double2(bitwise_xor(a.x, b.x), bitwise_xor(a.y, b.y));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pandnot<float4>(const float4& a,
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const float4& b) {
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return make_float4(bitwise_andnot(a.x, b.x), bitwise_andnot(a.y, b.y),
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bitwise_andnot(a.z, b.z), bitwise_andnot(a.w, b.w));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2
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pandnot<double2>(const double2& a, const double2& b) {
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return make_double2(bitwise_andnot(a.x, b.x), bitwise_andnot(a.y, b.y));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pcmp_eq<float4>(const float4& a,
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const float4& b) {
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return make_float4(eq_mask(a.x, b.x), eq_mask(a.y, b.y), eq_mask(a.z, b.z),
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eq_mask(a.w, b.w));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pcmp_lt<float4>(const float4& a,
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const float4& b) {
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return make_float4(lt_mask(a.x, b.x), lt_mask(a.y, b.y), lt_mask(a.z, b.z),
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lt_mask(a.w, b.w));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2
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pcmp_eq<double2>(const double2& a, const double2& b) {
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return make_double2(eq_mask(a.x, b.x), eq_mask(a.y, b.y));
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}
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template <>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2
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pcmp_lt<double2>(const double2& a, const double2& b) {
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return make_double2(lt_mask(a.x, b.x), lt_mask(a.y, b.y));
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}
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#endif // defined(EIGEN_CUDA_ARCH) || defined(EIGEN_HIPCC) || (defined(EIGEN_CUDACC) && EIGEN_COMP_CLANG && !EIGEN_COMP_NVCC)
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 plset<float4>(const float& a) {
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return make_float4(a, a+1, a+2, a+3);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 plset<double2>(const double& a) {
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return make_double2(a, a+1);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 padd<float4>(const float4& a, const float4& b) {
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return make_float4(a.x+b.x, a.y+b.y, a.z+b.z, a.w+b.w);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 padd<double2>(const double2& a, const double2& b) {
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return make_double2(a.x+b.x, a.y+b.y);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 psub<float4>(const float4& a, const float4& b) {
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return make_float4(a.x-b.x, a.y-b.y, a.z-b.z, a.w-b.w);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 psub<double2>(const double2& a, const double2& b) {
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return make_double2(a.x-b.x, a.y-b.y);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pnegate(const float4& a) {
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return make_float4(-a.x, -a.y, -a.z, -a.w);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pnegate(const double2& a) {
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return make_double2(-a.x, -a.y);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pconj(const float4& a) { return a; }
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pconj(const double2& a) { return a; }
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pmul<float4>(const float4& a, const float4& b) {
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return make_float4(a.x*b.x, a.y*b.y, a.z*b.z, a.w*b.w);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pmul<double2>(const double2& a, const double2& b) {
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return make_double2(a.x*b.x, a.y*b.y);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pdiv<float4>(const float4& a, const float4& b) {
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return make_float4(a.x/b.x, a.y/b.y, a.z/b.z, a.w/b.w);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pdiv<double2>(const double2& a, const double2& b) {
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return make_double2(a.x/b.x, a.y/b.y);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pmin<float4>(const float4& a, const float4& b) {
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return make_float4(fminf(a.x, b.x), fminf(a.y, b.y), fminf(a.z, b.z), fminf(a.w, b.w));
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pmin<double2>(const double2& a, const double2& b) {
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return make_double2(fmin(a.x, b.x), fmin(a.y, b.y));
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pmax<float4>(const float4& a, const float4& b) {
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return make_float4(fmaxf(a.x, b.x), fmaxf(a.y, b.y), fmaxf(a.z, b.z), fmaxf(a.w, b.w));
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pmax<double2>(const double2& a, const double2& b) {
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return make_double2(fmax(a.x, b.x), fmax(a.y, b.y));
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 pload<float4>(const float* from) {
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return *reinterpret_cast<const float4*>(from);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 pload<double2>(const double* from) {
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return *reinterpret_cast<const double2*>(from);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 ploadu<float4>(const float* from) {
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return make_float4(from[0], from[1], from[2], from[3]);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 ploadu<double2>(const double* from) {
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return make_double2(from[0], from[1]);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE float4 ploaddup<float4>(const float* from) {
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return make_float4(from[0], from[0], from[1], from[1]);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE double2 ploaddup<double2>(const double* from) {
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return make_double2(from[0], from[0]);
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pstore<float>(float* to, const float4& from) {
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*reinterpret_cast<float4*>(to) = from;
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pstore<double>(double* to, const double2& from) {
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*reinterpret_cast<double2*>(to) = from;
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const float4& from) {
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to[0] = from.x;
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to[1] = from.y;
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to[2] = from.z;
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to[3] = from.w;
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}
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template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const double2& from) {
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to[0] = from.x;
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to[1] = from.y;
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}
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template<>
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EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE float4 ploadt_ro<float4, Aligned>(const float* from) {
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#if defined(EIGEN_GPU_HAS_LDG)
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return __ldg((const float4*)from);
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#else
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return make_float4(from[0], from[1], from[2], from[3]);
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#endif
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}
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template<>
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EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE double2 ploadt_ro<double2, Aligned>(const double* from) {
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#if defined(EIGEN_GPU_HAS_LDG)
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return __ldg((const double2*)from);
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#else
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return make_double2(from[0], from[1]);
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#endif
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}
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template<>
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EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE float4 ploadt_ro<float4, Unaligned>(const float* from) {
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#if defined(EIGEN_GPU_HAS_LDG)
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return make_float4(__ldg(from+0), __ldg(from+1), __ldg(from+2), __ldg(from+3));
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#else
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return make_float4(from[0], from[1], from[2], from[3]);
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#endif
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}
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template<>
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EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE double2 ploadt_ro<double2, Unaligned>(const double* from) {
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#if defined(EIGEN_GPU_HAS_LDG)
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return make_double2(__ldg(from+0), __ldg(from+1));
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#else
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return make_double2(from[0], from[1]);
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#endif
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}
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template<> EIGEN_DEVICE_FUNC inline float4 pgather<float, float4>(const float* from, Index stride) {
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return make_float4(from[0*stride], from[1*stride], from[2*stride], from[3*stride]);
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}
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template<> EIGEN_DEVICE_FUNC inline double2 pgather<double, double2>(const double* from, Index stride) {
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return make_double2(from[0*stride], from[1*stride]);
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}
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template<> EIGEN_DEVICE_FUNC inline void pscatter<float, float4>(float* to, const float4& from, Index stride) {
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to[stride*0] = from.x;
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to[stride*1] = from.y;
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to[stride*2] = from.z;
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to[stride*3] = from.w;
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}
|
||
template<> EIGEN_DEVICE_FUNC inline void pscatter<double, double2>(double* to, const double2& from, Index stride) {
|
||
to[stride*0] = from.x;
|
||
to[stride*1] = from.y;
|
||
}
|
||
|
||
template<> EIGEN_DEVICE_FUNC inline float pfirst<float4>(const float4& a) {
|
||
return a.x;
|
||
}
|
||
template<> EIGEN_DEVICE_FUNC inline double pfirst<double2>(const double2& a) {
|
||
return a.x;
|
||
}
|
||
|
||
template<> EIGEN_DEVICE_FUNC inline float predux<float4>(const float4& a) {
|
||
return a.x + a.y + a.z + a.w;
|
||
}
|
||
template<> EIGEN_DEVICE_FUNC inline double predux<double2>(const double2& a) {
|
||
return a.x + a.y;
|
||
}
|
||
|
||
template<> EIGEN_DEVICE_FUNC inline float predux_max<float4>(const float4& a) {
|
||
return fmaxf(fmaxf(a.x, a.y), fmaxf(a.z, a.w));
|
||
}
|
||
template<> EIGEN_DEVICE_FUNC inline double predux_max<double2>(const double2& a) {
|
||
return fmax(a.x, a.y);
|
||
}
|
||
|
||
template<> EIGEN_DEVICE_FUNC inline float predux_min<float4>(const float4& a) {
|
||
return fminf(fminf(a.x, a.y), fminf(a.z, a.w));
|
||
}
|
||
template<> EIGEN_DEVICE_FUNC inline double predux_min<double2>(const double2& a) {
|
||
return fmin(a.x, a.y);
|
||
}
|
||
|
||
template<> EIGEN_DEVICE_FUNC inline float predux_mul<float4>(const float4& a) {
|
||
return a.x * a.y * a.z * a.w;
|
||
}
|
||
template<> EIGEN_DEVICE_FUNC inline double predux_mul<double2>(const double2& a) {
|
||
return a.x * a.y;
|
||
}
|
||
|
||
template<> EIGEN_DEVICE_FUNC inline float4 pabs<float4>(const float4& a) {
|
||
return make_float4(fabsf(a.x), fabsf(a.y), fabsf(a.z), fabsf(a.w));
|
||
}
|
||
template<> EIGEN_DEVICE_FUNC inline double2 pabs<double2>(const double2& a) {
|
||
return make_double2(fabs(a.x), fabs(a.y));
|
||
}
|
||
|
||
template<> EIGEN_DEVICE_FUNC inline float4 pfloor<float4>(const float4& a) {
|
||
return make_float4(floorf(a.x), floorf(a.y), floorf(a.z), floorf(a.w));
|
||
}
|
||
template<> EIGEN_DEVICE_FUNC inline double2 pfloor<double2>(const double2& a) {
|
||
return make_double2(floor(a.x), floor(a.y));
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC inline void
|
||
ptranspose(PacketBlock<float4,4>& kernel) {
|
||
float tmp = kernel.packet[0].y;
|
||
kernel.packet[0].y = kernel.packet[1].x;
|
||
kernel.packet[1].x = tmp;
|
||
|
||
tmp = kernel.packet[0].z;
|
||
kernel.packet[0].z = kernel.packet[2].x;
|
||
kernel.packet[2].x = tmp;
|
||
|
||
tmp = kernel.packet[0].w;
|
||
kernel.packet[0].w = kernel.packet[3].x;
|
||
kernel.packet[3].x = tmp;
|
||
|
||
tmp = kernel.packet[1].z;
|
||
kernel.packet[1].z = kernel.packet[2].y;
|
||
kernel.packet[2].y = tmp;
|
||
|
||
tmp = kernel.packet[1].w;
|
||
kernel.packet[1].w = kernel.packet[3].y;
|
||
kernel.packet[3].y = tmp;
|
||
|
||
tmp = kernel.packet[2].w;
|
||
kernel.packet[2].w = kernel.packet[3].z;
|
||
kernel.packet[3].z = tmp;
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC inline void
|
||
ptranspose(PacketBlock<double2,2>& kernel) {
|
||
double tmp = kernel.packet[0].y;
|
||
kernel.packet[0].y = kernel.packet[1].x;
|
||
kernel.packet[1].x = tmp;
|
||
}
|
||
|
||
#endif // defined(EIGEN_GPUCC) && defined(EIGEN_USE_GPU)
|
||
|
||
// Half-packet functions are not available on the host for CUDA 9.0-9.2, only
|
||
// on device. There is no benefit to using them on the host anyways, since they are
|
||
// emulated.
|
||
#if (defined(EIGEN_HAS_CUDA_FP16) || defined(EIGEN_HAS_HIP_FP16)) && defined(EIGEN_GPU_COMPILE_PHASE)
|
||
|
||
typedef ulonglong2 Packet4h2;
|
||
template<> struct unpacket_traits<Packet4h2> { typedef Eigen::half type; enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet4h2 half; };
|
||
template<> struct is_arithmetic<Packet4h2> { enum { value = true }; };
|
||
|
||
template<> struct unpacket_traits<half2> { typedef Eigen::half type; enum {size=2, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef half2 half; };
|
||
template<> struct is_arithmetic<half2> { enum { value = true }; };
|
||
|
||
template<> struct packet_traits<Eigen::half> : default_packet_traits
|
||
{
|
||
typedef Packet4h2 type;
|
||
typedef Packet4h2 half;
|
||
enum {
|
||
Vectorizable = 1,
|
||
AlignedOnScalar = 1,
|
||
size=8,
|
||
HasHalfPacket = 0,
|
||
HasAdd = 1,
|
||
HasSub = 1,
|
||
HasMul = 1,
|
||
HasDiv = 1,
|
||
HasSqrt = 1,
|
||
HasRsqrt = 1,
|
||
HasExp = 1,
|
||
HasExpm1 = 1,
|
||
HasLog = 1,
|
||
HasLog1p = 1
|
||
};
|
||
};
|
||
|
||
template<>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pset1<half2>(const Eigen::half& from) {
|
||
return __half2half2(from);
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
pset1<Packet4h2>(const Eigen::half& from) {
|
||
Packet4h2 r;
|
||
half2* p_alias = reinterpret_cast<half2*>(&r);
|
||
p_alias[0] = pset1<half2>(from);
|
||
p_alias[1] = pset1<half2>(from);
|
||
p_alias[2] = pset1<half2>(from);
|
||
p_alias[3] = pset1<half2>(from);
|
||
return r;
|
||
}
|
||
|
||
namespace {
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pload(const Eigen::half* from) {
|
||
return *reinterpret_cast<const half2*>(from);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 ploadu(const Eigen::half* from) {
|
||
return __halves2half2(from[0], from[1]);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 ploaddup(const Eigen::half* from) {
|
||
return __halves2half2(from[0], from[0]);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pstore(Eigen::half* to,
|
||
const half2& from) {
|
||
*reinterpret_cast<half2*>(to) = from;
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pstoreu(Eigen::half* to,
|
||
const half2& from) {
|
||
to[0] = __low2half(from);
|
||
to[1] = __high2half(from);
|
||
}
|
||
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE half2 ploadt_ro_aligned(
|
||
const Eigen::half* from) {
|
||
#if defined(EIGEN_GPU_HAS_LDG)
|
||
// Input is guaranteed to be properly aligned.
|
||
return __ldg(reinterpret_cast<const half2*>(from));
|
||
#else
|
||
return __halves2half2(*(from+0), *(from+1));
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE half2 ploadt_ro_unaligned(
|
||
const Eigen::half* from) {
|
||
#if defined(EIGEN_GPU_HAS_LDG)
|
||
return __halves2half2(__ldg(from+0), __ldg(from+1));
|
||
#else
|
||
return __halves2half2(*(from+0), *(from+1));
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pgather(const Eigen::half* from,
|
||
Index stride) {
|
||
return __halves2half2(from[0*stride], from[1*stride]);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pscatter(
|
||
Eigen::half* to, const half2& from, Index stride) {
|
||
to[stride*0] = __low2half(from);
|
||
to[stride*1] = __high2half(from);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half pfirst(const half2& a) {
|
||
return __low2half(a);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pabs(const half2& a) {
|
||
half a1 = __low2half(a);
|
||
half a2 = __high2half(a);
|
||
half result1 = half_impl::raw_uint16_to_half(a1.x & 0x7FFF);
|
||
half result2 = half_impl::raw_uint16_to_half(a2.x & 0x7FFF);
|
||
return __halves2half2(result1, result2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 ptrue(const half2& /*a*/) {
|
||
half true_half = half_impl::raw_uint16_to_half(0xffffu);
|
||
return pset1<half2>(true_half);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pzero(const half2& /*a*/) {
|
||
half false_half = half_impl::raw_uint16_to_half(0x0000u);
|
||
return pset1<half2>(false_half);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void
|
||
ptranspose(PacketBlock<half2,2>& kernel) {
|
||
__half a1 = __low2half(kernel.packet[0]);
|
||
__half a2 = __high2half(kernel.packet[0]);
|
||
__half b1 = __low2half(kernel.packet[1]);
|
||
__half b2 = __high2half(kernel.packet[1]);
|
||
kernel.packet[0] = __halves2half2(a1, b1);
|
||
kernel.packet[1] = __halves2half2(a2, b2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 plset(const Eigen::half& a) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __halves2half2(a, __hadd(a, __float2half(1.0f)));
|
||
#else
|
||
float f = __half2float(a) + 1.0f;
|
||
return __halves2half2(a, __float2half(f));
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pselect(const half2& mask,
|
||
const half2& a,
|
||
const half2& b) {
|
||
half mask_low = __low2half(mask);
|
||
half mask_high = __high2half(mask);
|
||
half result_low = mask_low == half(0) ? __low2half(b) : __low2half(a);
|
||
half result_high = mask_high == half(0) ? __high2half(b) : __high2half(a);
|
||
return __halves2half2(result_low, result_high);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pcmp_eq(const half2& a,
|
||
const half2& b) {
|
||
half true_half = half_impl::raw_uint16_to_half(0xffffu);
|
||
half false_half = half_impl::raw_uint16_to_half(0x0000u);
|
||
half a1 = __low2half(a);
|
||
half a2 = __high2half(a);
|
||
half b1 = __low2half(b);
|
||
half b2 = __high2half(b);
|
||
half eq1 = __half2float(a1) == __half2float(b1) ? true_half : false_half;
|
||
half eq2 = __half2float(a2) == __half2float(b2) ? true_half : false_half;
|
||
return __halves2half2(eq1, eq2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pcmp_lt(const half2& a,
|
||
const half2& b) {
|
||
half true_half = half_impl::raw_uint16_to_half(0xffffu);
|
||
half false_half = half_impl::raw_uint16_to_half(0x0000u);
|
||
half a1 = __low2half(a);
|
||
half a2 = __high2half(a);
|
||
half b1 = __low2half(b);
|
||
half b2 = __high2half(b);
|
||
half eq1 = __half2float(a1) < __half2float(b1) ? true_half : false_half;
|
||
half eq2 = __half2float(a2) < __half2float(b2) ? true_half : false_half;
|
||
return __halves2half2(eq1, eq2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pand(const half2& a,
|
||
const half2& b) {
|
||
half a1 = __low2half(a);
|
||
half a2 = __high2half(a);
|
||
half b1 = __low2half(b);
|
||
half b2 = __high2half(b);
|
||
half result1 = half_impl::raw_uint16_to_half(a1.x & b1.x);
|
||
half result2 = half_impl::raw_uint16_to_half(a2.x & b2.x);
|
||
return __halves2half2(result1, result2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 por(const half2& a,
|
||
const half2& b) {
|
||
half a1 = __low2half(a);
|
||
half a2 = __high2half(a);
|
||
half b1 = __low2half(b);
|
||
half b2 = __high2half(b);
|
||
half result1 = half_impl::raw_uint16_to_half(a1.x | b1.x);
|
||
half result2 = half_impl::raw_uint16_to_half(a2.x | b2.x);
|
||
return __halves2half2(result1, result2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pxor(const half2& a,
|
||
const half2& b) {
|
||
half a1 = __low2half(a);
|
||
half a2 = __high2half(a);
|
||
half b1 = __low2half(b);
|
||
half b2 = __high2half(b);
|
||
half result1 = half_impl::raw_uint16_to_half(a1.x ^ b1.x);
|
||
half result2 = half_impl::raw_uint16_to_half(a2.x ^ b2.x);
|
||
return __halves2half2(result1, result2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pandnot(const half2& a,
|
||
const half2& b) {
|
||
half a1 = __low2half(a);
|
||
half a2 = __high2half(a);
|
||
half b1 = __low2half(b);
|
||
half b2 = __high2half(b);
|
||
half result1 = half_impl::raw_uint16_to_half(a1.x & ~b1.x);
|
||
half result2 = half_impl::raw_uint16_to_half(a2.x & ~b2.x);
|
||
return __halves2half2(result1, result2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 padd(const half2& a,
|
||
const half2& b) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __hadd2(a, b);
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
float r1 = a1 + b1;
|
||
float r2 = a2 + b2;
|
||
return __floats2half2_rn(r1, r2);
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 psub(const half2& a,
|
||
const half2& b) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __hsub2(a, b);
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
float r1 = a1 - b1;
|
||
float r2 = a2 - b2;
|
||
return __floats2half2_rn(r1, r2);
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pnegate(const half2& a) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __hneg2(a);
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
return __floats2half2_rn(-a1, -a2);
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pconj(const half2& a) { return a; }
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pmul(const half2& a,
|
||
const half2& b) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __hmul2(a, b);
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
float r1 = a1 * b1;
|
||
float r2 = a2 * b2;
|
||
return __floats2half2_rn(r1, r2);
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pmadd(const half2& a,
|
||
const half2& b,
|
||
const half2& c) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __hfma2(a, b, c);
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
float c1 = __low2float(c);
|
||
float c2 = __high2float(c);
|
||
float r1 = a1 * b1 + c1;
|
||
float r2 = a2 * b2 + c2;
|
||
return __floats2half2_rn(r1, r2);
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pdiv(const half2& a,
|
||
const half2& b) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __h2div(a, b);
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
float r1 = a1 / b1;
|
||
float r2 = a2 / b2;
|
||
return __floats2half2_rn(r1, r2);
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pmin(const half2& a,
|
||
const half2& b) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
__half r1 = a1 < b1 ? __low2half(a) : __low2half(b);
|
||
__half r2 = a2 < b2 ? __high2half(a) : __high2half(b);
|
||
return __halves2half2(r1, r2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pmax(const half2& a,
|
||
const half2& b) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
__half r1 = a1 > b1 ? __low2half(a) : __low2half(b);
|
||
__half r2 = a2 > b2 ? __high2half(a) : __high2half(b);
|
||
return __halves2half2(r1, r2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half predux(const half2& a) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __hadd(__low2half(a), __high2half(a));
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
return Eigen::half(__float2half(a1 + a2));
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half predux_max(const half2& a) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
__half first = __low2half(a);
|
||
__half second = __high2half(a);
|
||
return __hgt(first, second) ? first : second;
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
return a1 > a2 ? __low2half(a) : __high2half(a);
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half predux_min(const half2& a) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
__half first = __low2half(a);
|
||
__half second = __high2half(a);
|
||
return __hlt(first, second) ? first : second;
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
return a1 < a2 ? __low2half(a) : __high2half(a);
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half predux_mul(const half2& a) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __hmul(__low2half(a), __high2half(a));
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
return Eigen::half(__float2half(a1 * a2));
|
||
#endif
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 plog1p(const half2& a) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float r1 = log1pf(a1);
|
||
float r2 = log1pf(a2);
|
||
return __floats2half2_rn(r1, r2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pexpm1(const half2& a) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float r1 = expm1f(a1);
|
||
float r2 = expm1f(a2);
|
||
return __floats2half2_rn(r1, r2);
|
||
}
|
||
|
||
#if (EIGEN_CUDA_SDK_VER >= 80000 && defined(EIGEN_CUDA_HAS_FP16_ARITHMETIC)) || \
|
||
defined(EIGEN_HIP_DEVICE_COMPILE)
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||
half2 plog(const half2& a) {
|
||
return h2log(a);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||
half2 pexp(const half2& a) {
|
||
return h2exp(a);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||
half2 psqrt(const half2& a) {
|
||
return h2sqrt(a);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
|
||
half2 prsqrt(const half2& a) {
|
||
return h2rsqrt(a);
|
||
}
|
||
|
||
#else
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 plog(const half2& a) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float r1 = logf(a1);
|
||
float r2 = logf(a2);
|
||
return __floats2half2_rn(r1, r2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pexp(const half2& a) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float r1 = expf(a1);
|
||
float r2 = expf(a2);
|
||
return __floats2half2_rn(r1, r2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 psqrt(const half2& a) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float r1 = sqrtf(a1);
|
||
float r2 = sqrtf(a2);
|
||
return __floats2half2_rn(r1, r2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 prsqrt(const half2& a) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float r1 = rsqrtf(a1);
|
||
float r2 = rsqrtf(a2);
|
||
return __floats2half2_rn(r1, r2);
|
||
}
|
||
#endif
|
||
} // namespace
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
pload<Packet4h2>(const Eigen::half* from) {
|
||
return *reinterpret_cast<const Packet4h2*>(from);
|
||
}
|
||
|
||
// unaligned load;
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
ploadu<Packet4h2>(const Eigen::half* from) {
|
||
Packet4h2 r;
|
||
half2* p_alias = reinterpret_cast<half2*>(&r);
|
||
p_alias[0] = ploadu(from + 0);
|
||
p_alias[1] = ploadu(from + 2);
|
||
p_alias[2] = ploadu(from + 4);
|
||
p_alias[3] = ploadu(from + 6);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
ploaddup<Packet4h2>(const Eigen::half* from) {
|
||
Packet4h2 r;
|
||
half2* p_alias = reinterpret_cast<half2*>(&r);
|
||
p_alias[0] = ploaddup(from + 0);
|
||
p_alias[1] = ploaddup(from + 1);
|
||
p_alias[2] = ploaddup(from + 2);
|
||
p_alias[3] = ploaddup(from + 3);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pstore<Eigen::half>(
|
||
Eigen::half* to, const Packet4h2& from) {
|
||
*reinterpret_cast<Packet4h2*>(to) = from;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pstoreu<Eigen::half>(
|
||
Eigen::half* to, const Packet4h2& from) {
|
||
const half2* from_alias = reinterpret_cast<const half2*>(&from);
|
||
pstoreu(to + 0,from_alias[0]);
|
||
pstoreu(to + 2,from_alias[1]);
|
||
pstoreu(to + 4,from_alias[2]);
|
||
pstoreu(to + 6,from_alias[3]);
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE Packet4h2
|
||
ploadt_ro<Packet4h2, Aligned>(const Eigen::half* from) {
|
||
#if defined(EIGEN_GPU_HAS_LDG)
|
||
Packet4h2 r;
|
||
r = __ldg(reinterpret_cast<const Packet4h2*>(from));
|
||
return r;
|
||
#else
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
r_alias[0] = ploadt_ro_aligned(from + 0);
|
||
r_alias[1] = ploadt_ro_aligned(from + 2);
|
||
r_alias[2] = ploadt_ro_aligned(from + 4);
|
||
r_alias[3] = ploadt_ro_aligned(from + 6);
|
||
return r;
|
||
#endif
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE Packet4h2
|
||
ploadt_ro<Packet4h2, Unaligned>(const Eigen::half* from) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
r_alias[0] = ploadt_ro_unaligned(from + 0);
|
||
r_alias[1] = ploadt_ro_unaligned(from + 2);
|
||
r_alias[2] = ploadt_ro_unaligned(from + 4);
|
||
r_alias[3] = ploadt_ro_unaligned(from + 6);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
pgather<Eigen::half, Packet4h2>(const Eigen::half* from, Index stride) {
|
||
Packet4h2 r;
|
||
half2* p_alias = reinterpret_cast<half2*>(&r);
|
||
p_alias[0] = __halves2half2(from[0 * stride], from[1 * stride]);
|
||
p_alias[1] = __halves2half2(from[2 * stride], from[3 * stride]);
|
||
p_alias[2] = __halves2half2(from[4 * stride], from[5 * stride]);
|
||
p_alias[3] = __halves2half2(from[6 * stride], from[7 * stride]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void pscatter<Eigen::half, Packet4h2>(
|
||
Eigen::half* to, const Packet4h2& from, Index stride) {
|
||
const half2* from_alias = reinterpret_cast<const half2*>(&from);
|
||
pscatter(to + stride * 0, from_alias[0], stride);
|
||
pscatter(to + stride * 2, from_alias[1], stride);
|
||
pscatter(to + stride * 4, from_alias[2], stride);
|
||
pscatter(to + stride * 6, from_alias[3], stride);
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half pfirst<Packet4h2>(
|
||
const Packet4h2& a) {
|
||
return pfirst(*(reinterpret_cast<const half2*>(&a)));
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pabs<Packet4h2>(
|
||
const Packet4h2& a) {
|
||
Packet4h2 r;
|
||
half2* p_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
p_alias[0] = pabs(a_alias[0]);
|
||
p_alias[1] = pabs(a_alias[1]);
|
||
p_alias[2] = pabs(a_alias[2]);
|
||
p_alias[3] = pabs(a_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 ptrue<Packet4h2>(
|
||
const Packet4h2& /*a*/) {
|
||
half true_half = half_impl::raw_uint16_to_half(0xffffu);
|
||
return pset1<Packet4h2>(true_half);
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pzero<Packet4h2>(const Packet4h2& /*a*/) {
|
||
half false_half = half_impl::raw_uint16_to_half(0x0000u);
|
||
return pset1<Packet4h2>(false_half);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void ptranspose_double(
|
||
double* d_row0, double* d_row1, double* d_row2, double* d_row3,
|
||
double* d_row4, double* d_row5, double* d_row6, double* d_row7) {
|
||
double d_tmp;
|
||
d_tmp = d_row0[1];
|
||
d_row0[1] = d_row4[0];
|
||
d_row4[0] = d_tmp;
|
||
|
||
d_tmp = d_row1[1];
|
||
d_row1[1] = d_row5[0];
|
||
d_row5[0] = d_tmp;
|
||
|
||
d_tmp = d_row2[1];
|
||
d_row2[1] = d_row6[0];
|
||
d_row6[0] = d_tmp;
|
||
|
||
d_tmp = d_row3[1];
|
||
d_row3[1] = d_row7[0];
|
||
d_row7[0] = d_tmp;
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void ptranspose_half2(
|
||
half2* f_row0, half2* f_row1, half2* f_row2, half2* f_row3) {
|
||
half2 f_tmp;
|
||
f_tmp = f_row0[1];
|
||
f_row0[1] = f_row2[0];
|
||
f_row2[0] = f_tmp;
|
||
|
||
f_tmp = f_row1[1];
|
||
f_row1[1] = f_row3[0];
|
||
f_row3[0] = f_tmp;
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void
|
||
ptranspose_half(half2& f0, half2& f1) {
|
||
__half a1 = __low2half(f0);
|
||
__half a2 = __high2half(f0);
|
||
__half b1 = __low2half(f1);
|
||
__half b2 = __high2half(f1);
|
||
f0 = __halves2half2(a1, b1);
|
||
f1 = __halves2half2(a2, b2);
|
||
}
|
||
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void
|
||
ptranspose(PacketBlock<Packet4h2,8>& kernel) {
|
||
double* d_row0 = reinterpret_cast<double*>(&kernel.packet[0]);
|
||
double* d_row1 = reinterpret_cast<double*>(&kernel.packet[1]);
|
||
double* d_row2 = reinterpret_cast<double*>(&kernel.packet[2]);
|
||
double* d_row3 = reinterpret_cast<double*>(&kernel.packet[3]);
|
||
double* d_row4 = reinterpret_cast<double*>(&kernel.packet[4]);
|
||
double* d_row5 = reinterpret_cast<double*>(&kernel.packet[5]);
|
||
double* d_row6 = reinterpret_cast<double*>(&kernel.packet[6]);
|
||
double* d_row7 = reinterpret_cast<double*>(&kernel.packet[7]);
|
||
ptranspose_double(d_row0, d_row1, d_row2, d_row3,
|
||
d_row4, d_row5, d_row6, d_row7);
|
||
|
||
|
||
half2* f_row0 = reinterpret_cast<half2*>(d_row0);
|
||
half2* f_row1 = reinterpret_cast<half2*>(d_row1);
|
||
half2* f_row2 = reinterpret_cast<half2*>(d_row2);
|
||
half2* f_row3 = reinterpret_cast<half2*>(d_row3);
|
||
ptranspose_half2(f_row0, f_row1, f_row2, f_row3);
|
||
ptranspose_half(f_row0[0], f_row1[0]);
|
||
ptranspose_half(f_row0[1], f_row1[1]);
|
||
ptranspose_half(f_row2[0], f_row3[0]);
|
||
ptranspose_half(f_row2[1], f_row3[1]);
|
||
|
||
f_row0 = reinterpret_cast<half2*>(d_row0 + 1);
|
||
f_row1 = reinterpret_cast<half2*>(d_row1 + 1);
|
||
f_row2 = reinterpret_cast<half2*>(d_row2 + 1);
|
||
f_row3 = reinterpret_cast<half2*>(d_row3 + 1);
|
||
ptranspose_half2(f_row0, f_row1, f_row2, f_row3);
|
||
ptranspose_half(f_row0[0], f_row1[0]);
|
||
ptranspose_half(f_row0[1], f_row1[1]);
|
||
ptranspose_half(f_row2[0], f_row3[0]);
|
||
ptranspose_half(f_row2[1], f_row3[1]);
|
||
|
||
f_row0 = reinterpret_cast<half2*>(d_row4);
|
||
f_row1 = reinterpret_cast<half2*>(d_row5);
|
||
f_row2 = reinterpret_cast<half2*>(d_row6);
|
||
f_row3 = reinterpret_cast<half2*>(d_row7);
|
||
ptranspose_half2(f_row0, f_row1, f_row2, f_row3);
|
||
ptranspose_half(f_row0[0], f_row1[0]);
|
||
ptranspose_half(f_row0[1], f_row1[1]);
|
||
ptranspose_half(f_row2[0], f_row3[0]);
|
||
ptranspose_half(f_row2[1], f_row3[1]);
|
||
|
||
f_row0 = reinterpret_cast<half2*>(d_row4 + 1);
|
||
f_row1 = reinterpret_cast<half2*>(d_row5 + 1);
|
||
f_row2 = reinterpret_cast<half2*>(d_row6 + 1);
|
||
f_row3 = reinterpret_cast<half2*>(d_row7 + 1);
|
||
ptranspose_half2(f_row0, f_row1, f_row2, f_row3);
|
||
ptranspose_half(f_row0[0], f_row1[0]);
|
||
ptranspose_half(f_row0[1], f_row1[1]);
|
||
ptranspose_half(f_row2[0], f_row3[0]);
|
||
ptranspose_half(f_row2[1], f_row3[1]);
|
||
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
plset<Packet4h2>(const Eigen::half& a) {
|
||
#if defined(EIGEN_HIP_DEVICE_COMPILE)
|
||
|
||
Packet4h2 r;
|
||
half2* p_alias = reinterpret_cast<half2*>(&r);
|
||
p_alias[0] = __halves2half2(a, __hadd(a, __float2half(1.0f)));
|
||
p_alias[1] = __halves2half2(__hadd(a, __float2half(2.0f)),
|
||
__hadd(a, __float2half(3.0f)));
|
||
p_alias[2] = __halves2half2(__hadd(a, __float2half(4.0f)),
|
||
__hadd(a, __float2half(5.0f)));
|
||
p_alias[3] = __halves2half2(__hadd(a, __float2half(6.0f)),
|
||
__hadd(a, __float2half(7.0f)));
|
||
return r;
|
||
#elif defined(EIGEN_CUDA_HAS_FP16_ARITHMETIC)
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
|
||
half2 b = pset1<half2>(a);
|
||
half2 c;
|
||
half2 half_offset0 = __halves2half2(__float2half(0.0f),__float2half(2.0f));
|
||
half2 half_offset1 = __halves2half2(__float2half(4.0f),__float2half(6.0f));
|
||
|
||
c = __hadd2(b, half_offset0);
|
||
r_alias[0] = plset(__low2half(c));
|
||
r_alias[1] = plset(__high2half(c));
|
||
|
||
c = __hadd2(b, half_offset1);
|
||
r_alias[2] = plset(__low2half(c));
|
||
r_alias[3] = plset(__high2half(c));
|
||
|
||
return r;
|
||
|
||
#else
|
||
float f = __half2float(a);
|
||
Packet4h2 r;
|
||
half2* p_alias = reinterpret_cast<half2*>(&r);
|
||
p_alias[0] = __halves2half2(a, __float2half(f + 1.0f));
|
||
p_alias[1] = __halves2half2(__float2half(f + 2.0f), __float2half(f + 3.0f));
|
||
p_alias[2] = __halves2half2(__float2half(f + 4.0f), __float2half(f + 5.0f));
|
||
p_alias[3] = __halves2half2(__float2half(f + 6.0f), __float2half(f + 7.0f));
|
||
return r;
|
||
#endif
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
pselect<Packet4h2>(const Packet4h2& mask, const Packet4h2& a,
|
||
const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* mask_alias = reinterpret_cast<const half2*>(&mask);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = pselect(mask_alias[0], a_alias[0], b_alias[0]);
|
||
r_alias[1] = pselect(mask_alias[1], a_alias[1], b_alias[1]);
|
||
r_alias[2] = pselect(mask_alias[2], a_alias[2], b_alias[2]);
|
||
r_alias[3] = pselect(mask_alias[3], a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
pcmp_eq<Packet4h2>(const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = pcmp_eq(a_alias[0], b_alias[0]);
|
||
r_alias[1] = pcmp_eq(a_alias[1], b_alias[1]);
|
||
r_alias[2] = pcmp_eq(a_alias[2], b_alias[2]);
|
||
r_alias[3] = pcmp_eq(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pand<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = pand(a_alias[0], b_alias[0]);
|
||
r_alias[1] = pand(a_alias[1], b_alias[1]);
|
||
r_alias[2] = pand(a_alias[2], b_alias[2]);
|
||
r_alias[3] = pand(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 por<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = por(a_alias[0], b_alias[0]);
|
||
r_alias[1] = por(a_alias[1], b_alias[1]);
|
||
r_alias[2] = por(a_alias[2], b_alias[2]);
|
||
r_alias[3] = por(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pxor<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = pxor(a_alias[0], b_alias[0]);
|
||
r_alias[1] = pxor(a_alias[1], b_alias[1]);
|
||
r_alias[2] = pxor(a_alias[2], b_alias[2]);
|
||
r_alias[3] = pxor(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
pandnot<Packet4h2>(const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = pandnot(a_alias[0], b_alias[0]);
|
||
r_alias[1] = pandnot(a_alias[1], b_alias[1]);
|
||
r_alias[2] = pandnot(a_alias[2], b_alias[2]);
|
||
r_alias[3] = pandnot(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 padd<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = padd(a_alias[0], b_alias[0]);
|
||
r_alias[1] = padd(a_alias[1], b_alias[1]);
|
||
r_alias[2] = padd(a_alias[2], b_alias[2]);
|
||
r_alias[3] = padd(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 psub<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = psub(a_alias[0], b_alias[0]);
|
||
r_alias[1] = psub(a_alias[1], b_alias[1]);
|
||
r_alias[2] = psub(a_alias[2], b_alias[2]);
|
||
r_alias[3] = psub(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pnegate(const Packet4h2& a) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
r_alias[0] = pnegate(a_alias[0]);
|
||
r_alias[1] = pnegate(a_alias[1]);
|
||
r_alias[2] = pnegate(a_alias[2]);
|
||
r_alias[3] = pnegate(a_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pconj(const Packet4h2& a) {
|
||
return a;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pmul<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = pmul(a_alias[0], b_alias[0]);
|
||
r_alias[1] = pmul(a_alias[1], b_alias[1]);
|
||
r_alias[2] = pmul(a_alias[2], b_alias[2]);
|
||
r_alias[3] = pmul(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pmadd<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b, const Packet4h2& c) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
const half2* c_alias = reinterpret_cast<const half2*>(&c);
|
||
r_alias[0] = pmadd(a_alias[0], b_alias[0], c_alias[0]);
|
||
r_alias[1] = pmadd(a_alias[1], b_alias[1], c_alias[1]);
|
||
r_alias[2] = pmadd(a_alias[2], b_alias[2], c_alias[2]);
|
||
r_alias[3] = pmadd(a_alias[3], b_alias[3], c_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pdiv<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = pdiv(a_alias[0], b_alias[0]);
|
||
r_alias[1] = pdiv(a_alias[1], b_alias[1]);
|
||
r_alias[2] = pdiv(a_alias[2], b_alias[2]);
|
||
r_alias[3] = pdiv(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pmin<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = pmin(a_alias[0], b_alias[0]);
|
||
r_alias[1] = pmin(a_alias[1], b_alias[1]);
|
||
r_alias[2] = pmin(a_alias[2], b_alias[2]);
|
||
r_alias[3] = pmin(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pmax<Packet4h2>(
|
||
const Packet4h2& a, const Packet4h2& b) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
const half2* b_alias = reinterpret_cast<const half2*>(&b);
|
||
r_alias[0] = pmax(a_alias[0], b_alias[0]);
|
||
r_alias[1] = pmax(a_alias[1], b_alias[1]);
|
||
r_alias[2] = pmax(a_alias[2], b_alias[2]);
|
||
r_alias[3] = pmax(a_alias[3], b_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half predux<Packet4h2>(
|
||
const Packet4h2& a) {
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
|
||
return predux(a_alias[0]) + predux(a_alias[1]) +
|
||
predux(a_alias[2]) + predux(a_alias[3]);
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half predux_max<Packet4h2>(
|
||
const Packet4h2& a) {
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
half2 m0 = __halves2half2(predux_max(a_alias[0]),
|
||
predux_max(a_alias[1]));
|
||
half2 m1 = __halves2half2(predux_max(a_alias[2]),
|
||
predux_max(a_alias[3]));
|
||
__half first = predux_max(m0);
|
||
__half second = predux_max(m1);
|
||
#if defined(EIGEN_CUDA_HAS_FP16_ARITHMETIC)
|
||
return (__hgt(first, second) ? first : second);
|
||
#else
|
||
float ffirst = __half2float(first);
|
||
float fsecond = __half2float(second);
|
||
return (ffirst > fsecond)? first: second;
|
||
#endif
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half predux_min<Packet4h2>(
|
||
const Packet4h2& a) {
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
half2 m0 = __halves2half2(predux_min(a_alias[0]),
|
||
predux_min(a_alias[1]));
|
||
half2 m1 = __halves2half2(predux_min(a_alias[2]),
|
||
predux_min(a_alias[3]));
|
||
__half first = predux_min(m0);
|
||
__half second = predux_min(m1);
|
||
#if defined(EIGEN_CUDA_HAS_FP16_ARITHMETIC)
|
||
return (__hlt(first, second) ? first : second);
|
||
#else
|
||
float ffirst = __half2float(first);
|
||
float fsecond = __half2float(second);
|
||
return (ffirst < fsecond)? first: second;
|
||
#endif
|
||
}
|
||
|
||
// likely overflow/underflow
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Eigen::half predux_mul<Packet4h2>(
|
||
const Packet4h2& a) {
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
return predux_mul(pmul(pmul(a_alias[0], a_alias[1]),
|
||
pmul(a_alias[2], a_alias[3])));
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
plog1p<Packet4h2>(const Packet4h2& a) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
r_alias[0] = plog1p(a_alias[0]);
|
||
r_alias[1] = plog1p(a_alias[1]);
|
||
r_alias[2] = plog1p(a_alias[2]);
|
||
r_alias[3] = plog1p(a_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
pexpm1<Packet4h2>(const Packet4h2& a) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
r_alias[0] = pexpm1(a_alias[0]);
|
||
r_alias[1] = pexpm1(a_alias[1]);
|
||
r_alias[2] = pexpm1(a_alias[2]);
|
||
r_alias[3] = pexpm1(a_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 plog<Packet4h2>(const Packet4h2& a) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
r_alias[0] = plog(a_alias[0]);
|
||
r_alias[1] = plog(a_alias[1]);
|
||
r_alias[2] = plog(a_alias[2]);
|
||
r_alias[3] = plog(a_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 pexp<Packet4h2>(const Packet4h2& a) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
r_alias[0] = pexp(a_alias[0]);
|
||
r_alias[1] = pexp(a_alias[1]);
|
||
r_alias[2] = pexp(a_alias[2]);
|
||
r_alias[3] = pexp(a_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2 psqrt<Packet4h2>(const Packet4h2& a) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
r_alias[0] = psqrt(a_alias[0]);
|
||
r_alias[1] = psqrt(a_alias[1]);
|
||
r_alias[2] = psqrt(a_alias[2]);
|
||
r_alias[3] = psqrt(a_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
template <>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet4h2
|
||
prsqrt<Packet4h2>(const Packet4h2& a) {
|
||
Packet4h2 r;
|
||
half2* r_alias = reinterpret_cast<half2*>(&r);
|
||
const half2* a_alias = reinterpret_cast<const half2*>(&a);
|
||
r_alias[0] = prsqrt(a_alias[0]);
|
||
r_alias[1] = prsqrt(a_alias[1]);
|
||
r_alias[2] = prsqrt(a_alias[2]);
|
||
r_alias[3] = prsqrt(a_alias[3]);
|
||
return r;
|
||
}
|
||
|
||
// The following specialized padd, pmul, pdiv, pmin, pmax, pset1 are needed for
|
||
// the implementation of GPU half reduction.
|
||
template<>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 padd<half2>(const half2& a,
|
||
const half2& b) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __hadd2(a, b);
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
float r1 = a1 + b1;
|
||
float r2 = a2 + b2;
|
||
return __floats2half2_rn(r1, r2);
|
||
#endif
|
||
}
|
||
|
||
template<>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pmul<half2>(const half2& a,
|
||
const half2& b) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __hmul2(a, b);
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
float r1 = a1 * b1;
|
||
float r2 = a2 * b2;
|
||
return __floats2half2_rn(r1, r2);
|
||
#endif
|
||
}
|
||
|
||
template<>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pdiv<half2>(const half2& a,
|
||
const half2& b) {
|
||
#if defined(EIGEN_GPU_HAS_FP16_ARITHMETIC)
|
||
return __h2div(a, b);
|
||
#else
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
float r1 = a1 / b1;
|
||
float r2 = a2 / b2;
|
||
return __floats2half2_rn(r1, r2);
|
||
#endif
|
||
}
|
||
|
||
template<>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pmin<half2>(const half2& a,
|
||
const half2& b) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
__half r1 = a1 < b1 ? __low2half(a) : __low2half(b);
|
||
__half r2 = a2 < b2 ? __high2half(a) : __high2half(b);
|
||
return __halves2half2(r1, r2);
|
||
}
|
||
|
||
template<>
|
||
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pmax<half2>(const half2& a,
|
||
const half2& b) {
|
||
float a1 = __low2float(a);
|
||
float a2 = __high2float(a);
|
||
float b1 = __low2float(b);
|
||
float b2 = __high2float(b);
|
||
__half r1 = a1 > b1 ? __low2half(a) : __low2half(b);
|
||
__half r2 = a2 > b2 ? __high2half(a) : __high2half(b);
|
||
return __halves2half2(r1, r2);
|
||
}
|
||
|
||
#endif // (defined(EIGEN_HAS_CUDA_FP16) || defined(EIGEN_HAS_HIP_FP16)) && defined(EIGEN_GPU_COMPILE_PHASE)
|
||
|
||
#undef EIGEN_GPU_HAS_LDG
|
||
#undef EIGEN_CUDA_HAS_FP16_ARITHMETIC
|
||
#undef EIGEN_GPU_HAS_FP16_ARITHMETIC
|
||
|
||
} // end namespace internal
|
||
|
||
} // end namespace Eigen
|
||
|
||
|
||
#endif // EIGEN_PACKET_MATH_GPU_H
|