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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2014 Benoit Steiner <benoit.steiner.goog@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_CXX11_TENSOR_TENSOR_REDUCTION_GPU_H
+#define EIGEN_CXX11_TENSOR_TENSOR_REDUCTION_GPU_H
+
+namespace Eigen {
+namespace internal {
+
+
+#if defined(EIGEN_USE_GPU) && defined(EIGEN_GPUCC)
+// Full reducers for GPU, don't vectorize for now
+
+// Reducer function that enables multiple gpu thread to safely accumulate at the same
+// output address. It basically reads the current value of the output variable, and
+// attempts to update it with the new value. If in the meantime another gpu thread
+// updated the content of the output address it will try again.
+template <typename T, typename R>
+__device__ EIGEN_ALWAYS_INLINE void atomicReduce(T* output, T accum, R& reducer) {
+#if (defined(EIGEN_HIP_DEVICE_COMPILE) && defined(__HIP_ARCH_HAS_WARP_SHUFFLE__)) || (EIGEN_CUDA_ARCH >= 300)
+ if (sizeof(T) == 4)
+ {
+ unsigned int oldval = *reinterpret_cast<unsigned int*>(output);
+ unsigned int newval = oldval;
+ reducer.reduce(accum, reinterpret_cast<T*>(&newval));
+ if (newval == oldval) {
+ return;
+ }
+ unsigned int readback;
+ while ((readback = atomicCAS((unsigned int*)output, oldval, newval)) != oldval) {
+ oldval = readback;
+ newval = oldval;
+ reducer.reduce(accum, reinterpret_cast<T*>(&newval));
+ if (newval == oldval) {
+ return;
+ }
+ }
+ }
+ else if (sizeof(T) == 8) {
+ unsigned long long oldval = *reinterpret_cast<unsigned long long*>(output);
+ unsigned long long newval = oldval;
+ reducer.reduce(accum, reinterpret_cast<T*>(&newval));
+ if (newval == oldval) {
+ return;
+ }
+ unsigned long long readback;
+ while ((readback = atomicCAS((unsigned long long*)output, oldval, newval)) != oldval) {
+ oldval = readback;
+ newval = oldval;
+ reducer.reduce(accum, reinterpret_cast<T*>(&newval));
+ if (newval == oldval) {
+ return;
+ }
+ }
+ }
+ else {
+ gpu_assert(0 && "Wordsize not supported");
+ }
+#else // EIGEN_CUDA_ARCH >= 300
+ gpu_assert(0 && "Shouldn't be called on unsupported device");
+#endif // EIGEN_CUDA_ARCH >= 300
+}
+
+// We extend atomicExch to support extra data types
+template <typename Type>
+__device__ inline Type atomicExchCustom(Type* address, Type val) {
+ return atomicExch(address, val);
+}
+
+template <>
+__device__ inline double atomicExchCustom(double* address, double val) {
+ unsigned long long int* address_as_ull = reinterpret_cast<unsigned long long int*>(address);
+ return __longlong_as_double(atomicExch(address_as_ull, __double_as_longlong(val)));
+}
+
+#ifdef EIGEN_HAS_GPU_FP16
+template <typename R>
+__device__ inline void atomicReduce(half2* output, half2 accum, R& reducer) {
+ unsigned int oldval = *reinterpret_cast<unsigned int*>(output);
+ unsigned int newval = oldval;
+ reducer.reducePacket(accum, reinterpret_cast<half2*>(&newval));
+ if (newval == oldval) {
+ return;
+ }
+ unsigned int readback;
+ while ((readback = atomicCAS((unsigned int*)output, oldval, newval)) != oldval) {
+ oldval = readback;
+ newval = oldval;
+ reducer.reducePacket(accum, reinterpret_cast<half2*>(&newval));
+ if (newval == oldval) {
+ return;
+ }
+ }
+}
+// reduction should be associative since reduction is not atomic in wide vector but atomic in half2 operations
+template <typename R>
+__device__ inline void atomicReduce(Packet4h2* output, Packet4h2 accum, R& reducer) {
+ half2* houtput=reinterpret_cast<half2*>(output);
+ half2* haccum=reinterpret_cast<half2*>(&accum);
+ for(int i=0;i<4;++i){
+ atomicReduce(houtput+i,*(haccum+i),reducer);
+ }
+}
+#endif // EIGEN_HAS_GPU_FP16
+
+template <>
+__device__ inline void atomicReduce(float* output, float accum, SumReducer<float>&) {
+#if (defined(EIGEN_HIP_DEVICE_COMPILE) && defined(__HIP_ARCH_HAS_WARP_SHUFFLE__)) || (EIGEN_CUDA_ARCH >= 300)
+ atomicAdd(output, accum);
+#else // EIGEN_CUDA_ARCH >= 300
+ gpu_assert(0 && "Shouldn't be called on unsupported device");
+#endif // EIGEN_CUDA_ARCH >= 300
+}
+
+
+template <typename CoeffType, typename Index>
+__global__ EIGEN_HIP_LAUNCH_BOUNDS_1024 void ReductionInitKernel(const CoeffType val, Index num_preserved_coeffs, CoeffType* output) {
+ const Index thread_id = blockIdx.x * blockDim.x + threadIdx.x;
+ const Index num_threads = blockDim.x * gridDim.x;
+ for (Index i = thread_id; i < num_preserved_coeffs; i += num_threads) {
+ output[i] = val;
+ }
+}
+
+
+template <int BlockSize, int NumPerThread, typename Self,
+ typename Reducer, typename Index>
+__global__ EIGEN_HIP_LAUNCH_BOUNDS_1024 void FullReductionKernel(Reducer reducer, const Self input, Index num_coeffs,
+ typename Self::CoeffReturnType* output, unsigned int* semaphore) {
+#if (defined(EIGEN_HIP_DEVICE_COMPILE) && defined(__HIP_ARCH_HAS_WARP_SHUFFLE__)) || (EIGEN_CUDA_ARCH >= 300)
+ // Initialize the output value
+ const Index first_index = blockIdx.x * BlockSize * NumPerThread + threadIdx.x;
+ if (gridDim.x == 1) {
+ if (first_index == 0) {
+ *output = reducer.initialize();
+ }
+ }
+ else {
+ if (threadIdx.x == 0) {
+ unsigned int block = atomicCAS(semaphore, 0u, 1u);
+ if (block == 0) {
+ // We're the first block to run, initialize the output value
+ atomicExchCustom(output, reducer.initialize());
+ __threadfence();
+ atomicExch(semaphore, 2u);
+ }
+ else {
+ // Wait for the first block to initialize the output value.
+ // Use atomicCAS here to ensure that the reads aren't cached
+ unsigned int val;
+ do {
+ val = atomicCAS(semaphore, 2u, 2u);
+ }
+ while (val < 2u);
+ }
+ }
+ }
+
+ __syncthreads();
+
+ eigen_assert(gridDim.x == 1 || *semaphore >= 2u);
+
+ typename Self::CoeffReturnType accum = reducer.initialize();
+ Index max_iter = numext::mini<Index>(num_coeffs - first_index, NumPerThread*BlockSize);
+ for (Index i = 0; i < max_iter; i+=BlockSize) {
+ const Index index = first_index + i;
+ eigen_assert(index < num_coeffs);
+ typename Self::CoeffReturnType val = input.m_impl.coeff(index);
+ reducer.reduce(val, &accum);
+ }
+
+#pragma unroll
+ for (int offset = warpSize/2; offset > 0; offset /= 2) {
+ #if defined(EIGEN_HIPCC)
+ // use std::is_floating_point to determine the type of reduced_val
+ // This is needed because when Type == double, hipcc will give a "call to __shfl_down is ambguous" error
+ // and list the float and int versions of __shfl_down as the candidate functions.
+ if (std::is_floating_point<typename Self::CoeffReturnType>::value) {
+ reducer.reduce(__shfl_down(static_cast<float>(accum), offset, warpSize), &accum);
+ } else {
+ reducer.reduce(__shfl_down(static_cast<int>(accum), offset, warpSize), &accum);
+ }
+ #elif defined(EIGEN_CUDA_SDK_VER) && EIGEN_CUDA_SDK_VER < 90000
+ reducer.reduce(__shfl_down(accum, offset, warpSize), &accum);
+ #else
+ reducer.reduce(__shfl_down_sync(0xFFFFFFFF, accum, offset, warpSize), &accum);
+ #endif
+ }
+
+ if ((threadIdx.x & (warpSize - 1)) == 0) {
+ atomicReduce(output, accum, reducer);
+ }
+
+ if (gridDim.x > 1 && threadIdx.x == 0) {
+ // Let the last block reset the semaphore
+ atomicInc(semaphore, gridDim.x + 1);
+#if defined(EIGEN_HIPCC)
+ __threadfence_system();
+#endif
+ }
+#else // EIGEN_CUDA_ARCH >= 300
+ gpu_assert(0 && "Shouldn't be called on unsupported device");
+#endif // EIGEN_CUDA_ARCH >= 300
+}
+
+
+#ifdef EIGEN_HAS_GPU_FP16
+template <typename Self,
+ typename Reducer, typename Index>
+__global__ EIGEN_HIP_LAUNCH_BOUNDS_1024 void ReductionInitFullReduxKernelHalfFloat(Reducer reducer, const Self input, Index num_coeffs,
+ packet_traits<Eigen::half>::type* scratch) {
+ eigen_assert(blockDim.x == 1);
+ eigen_assert(gridDim.x == 1);
+ typedef packet_traits<Eigen::half>::type packet_type;
+ Index packet_remainder =
+ num_coeffs % Index(unpacket_traits<packet_type>::size);
+ if (packet_remainder != 0) {
+ half2* h2scratch = reinterpret_cast<half2*>(scratch);
+ for (Index i = num_coeffs - packet_remainder; i + 2 <= num_coeffs; i += 2) {
+ *h2scratch =
+ __halves2half2(input.m_impl.coeff(i), input.m_impl.coeff(i + 1));
+ h2scratch++;
+ }
+ if ((num_coeffs & 1) != 0) {
+ half lastCoeff = input.m_impl.coeff(num_coeffs - 1);
+ *h2scratch = __halves2half2(lastCoeff, reducer.initialize());
+ }
+ } else {
+ *scratch = reducer.template initializePacket<packet_type>();
+ }
+}
+
+template <typename Self,
+ typename Reducer, typename Index>
+__global__ EIGEN_HIP_LAUNCH_BOUNDS_1024 void ReductionInitKernelHalfFloat(Reducer reducer, const Self input, Index num_coeffs, half* output) {
+ const Index thread_id = blockIdx.x * blockDim.x + threadIdx.x;
+ const Index num_threads = blockDim.x * gridDim.x;
+ typedef typename packet_traits<Eigen::half>::type PacketType;
+
+ const Index num_packets =
+ num_coeffs / Index(unpacket_traits<PacketType>::size);
+ PacketType* p_output = reinterpret_cast<PacketType*>(output);
+ for (Index i = thread_id; i < num_packets; i += num_threads) {
+ p_output[i] = reducer.template initializePacket<PacketType>();
+ }
+ Index packet_remainder =
+ num_coeffs % Index(unpacket_traits<PacketType>::size);
+ if (thread_id < packet_remainder) {
+ output[num_coeffs - packet_remainder + thread_id] = reducer.initialize();
+ }
+}
+
+template <int BlockSize, int NumPerThread, typename Self,
+ typename Reducer, typename Index>
+__global__ EIGEN_HIP_LAUNCH_BOUNDS_1024 void FullReductionKernelHalfFloat(Reducer reducer, const Self input, Index num_coeffs,
+ half* output, packet_traits<Eigen::half>::type* scratch) {
+ typedef typename packet_traits<Eigen::half>::type PacketType;
+ const int packet_width = unpacket_traits<PacketType>::size;
+ eigen_assert(NumPerThread % packet_width == 0);
+ const Index first_index =
+ blockIdx.x * BlockSize * NumPerThread + packet_width * threadIdx.x;
+
+ // Initialize the output value if it wasn't initialized by the ReductionInitKernel
+
+ if (gridDim.x == 1) {
+ if (first_index == 0) {
+ int rem = num_coeffs % packet_width;
+ if (rem != 0) {
+ half2* p_scratch = reinterpret_cast<half2*>(scratch);
+ *scratch = reducer.template initializePacket<PacketType>();
+ for (int i = 0; i < rem / 2; i++) {
+ *p_scratch = __halves2half2(
+ input.m_impl.coeff(num_coeffs - packet_width + 2 * i),
+ input.m_impl.coeff(num_coeffs - packet_width + 2 * i + 1));
+ p_scratch++;
+ }
+ if ((num_coeffs & 1) != 0) {
+ half last = input.m_impl.coeff(num_coeffs - 1);
+ *p_scratch = __halves2half2(last, reducer.initialize());
+ }
+ } else {
+ *scratch = reducer.template initializePacket<PacketType>();
+ }
+ }
+ __syncthreads();
+ }
+
+ PacketType accum = reducer.template initializePacket<PacketType>();
+ const Index max_iter =
+ numext::mini<Index>((num_coeffs - first_index) / packet_width,
+ NumPerThread * BlockSize / packet_width);
+ for (Index i = 0; i < max_iter; i += BlockSize) {
+ const Index index = first_index + packet_width * i;
+ eigen_assert(index + packet_width < num_coeffs);
+ PacketType val = input.m_impl.template packet<Unaligned>(index);
+ reducer.reducePacket(val, &accum);
+ }
+
+#pragma unroll
+ for (int offset = warpSize/2; offset > 0; offset /= 2) {
+ #if defined(EIGEN_HIPCC)
+ PacketType r1;
+ half2* hr = reinterpret_cast<half2*>(&r1);
+ half2* hacc = reinterpret_cast<half2*>(&accum);
+ for (int i = 0; i < packet_width / 2; i++) {
+ // FIXME : remove this workaround once we have native half/half2 support for __shfl_down
+ union { int i; half2 h; } wka_in, wka_out;
+ wka_in.h = hacc[i];
+ wka_out.i = __shfl_down(wka_in.i, offset, warpSize);
+ hr[i] = wka_out.h;
+ }
+ reducer.reducePacket(r1, &accum);
+ #elif defined(EIGEN_CUDA_SDK_VER) && EIGEN_CUDA_SDK_VER < 90000
+ PacketType r1;
+ half2* hr = reinterpret_cast<half2*>(&r1);
+ half2* hacc = reinterpret_cast<half2*>(&accum);
+ for (int i = 0; i < packet_width / 2; i++) {
+ hr[i] = __shfl_down(hacc[i], offset, warpSize);
+ }
+ reducer.reducePacket(r1, &accum);
+ #else
+ PacketType r1;
+ half2* hr = reinterpret_cast<half2*>(&r1);
+ half2* hacc = reinterpret_cast<half2*>(&accum);
+ for (int i = 0; i < packet_width / 2; i++) {
+ hr[i] = __shfl_down_sync(0xFFFFFFFF, hacc[i], (unsigned)offset, warpSize);
+ }
+ reducer.reducePacket(r1, &accum);
+
+ #endif
+ }
+
+ if ((threadIdx.x & (warpSize - 1)) == 0) {
+ atomicReduce(scratch, accum, reducer);
+ }
+
+ __syncthreads();
+ half2* rv1 = reinterpret_cast<half2*>(scratch);
+ if (packet_width > 2) {
+ reducer.reducePacket(rv1[2], rv1);
+ reducer.reducePacket(rv1[3], rv1 + 1);
+ reducer.reducePacket(rv1[1], rv1);
+ }
+ if (gridDim.x == 1) {
+ if (first_index == 0) {
+ half tmp = __low2half(*rv1);
+ reducer.reduce(__high2half(*rv1), &tmp);
+ *output = tmp;
+ }
+ }
+}
+
+template <typename Op>
+__global__ EIGEN_HIP_LAUNCH_BOUNDS_1024 void ReductionCleanupKernelHalfFloat(Op reducer, half* output, packet_traits<Eigen::half>::type* scratch) {
+ eigen_assert(threadIdx.x == 1);
+ half2* pscratch = reinterpret_cast<half2*>(scratch);
+ half tmp = __float2half(0.f);
+ typedef packet_traits<Eigen::half>::type packet_type;
+ for (int i = 0; i < unpacket_traits<packet_type>::size; i += 2) {
+ reducer.reduce(__low2half(*pscratch), &tmp);
+ reducer.reduce(__high2half(*pscratch), &tmp);
+ pscratch++;
+ }
+ *output = tmp;
+}
+
+#endif // EIGEN_HAS_GPU_FP16
+
+template <typename Self, typename Op, typename OutputType, bool PacketAccess, typename Enabled = void>
+struct FullReductionLauncher {
+ static void run(const Self&, Op&, const GpuDevice&, OutputType*, typename Self::Index) {
+ gpu_assert(false && "Should only be called on doubles, floats and half floats");
+ }
+};
+
+// Specialization for float and double
+template <typename Self, typename Op, typename OutputType, bool PacketAccess>
+struct FullReductionLauncher<
+ Self, Op, OutputType, PacketAccess,
+ typename internal::enable_if<
+ internal::is_same<float, OutputType>::value ||
+ internal::is_same<double, OutputType>::value,
+ void>::type> {
+ static void run(const Self& self, Op& reducer, const GpuDevice& device, OutputType* output, typename Self::Index num_coeffs) {
+
+ typedef typename Self::Index Index;
+ const int block_size = 256;
+ const int num_per_thread = 128;
+ const int num_blocks = divup<int>(num_coeffs, block_size * num_per_thread);
+
+ unsigned int* semaphore = NULL;
+ if (num_blocks > 1) {
+ semaphore = device.semaphore();
+ }
+
+ LAUNCH_GPU_KERNEL((FullReductionKernel<block_size, num_per_thread, Self, Op, Index>),
+ num_blocks, block_size, 0, device, reducer, self, num_coeffs, output, semaphore);
+ }
+};
+
+#ifdef EIGEN_HAS_GPU_FP16
+template <typename Self, typename Op>
+struct FullReductionLauncher<Self, Op, Eigen::half, false> {
+ static void run(const Self&, Op&, const GpuDevice&, half*, typename Self::Index) {
+ gpu_assert(false && "Should not be called since there is no packet accessor");
+ }
+};
+
+template <typename Self, typename Op>
+struct FullReductionLauncher<Self, Op, Eigen::half, true> {
+ static void run(const Self& self, Op& reducer, const GpuDevice& device, half* output, typename Self::Index num_coeffs) {
+ typedef typename Self::Index Index;
+ typedef typename packet_traits<Eigen::half>::type PacketType;
+
+ const int block_size = 256;
+ const int num_per_thread = 128;
+ const int num_blocks = divup<int>(num_coeffs, block_size * num_per_thread);
+ PacketType* scratch = static_cast<PacketType*>(device.scratchpad());
+ // half2* scratch = static_cast<half2*>(device.scratchpad());
+
+ if (num_blocks > 1) {
+ // We initialize the output and the scrathpad outside the reduction kernel when we can't be sure that there
+ // won't be a race conditions between multiple thread blocks.
+ LAUNCH_GPU_KERNEL((ReductionInitFullReduxKernelHalfFloat<Self, Op, Index>),
+ 1, 1, 0, device, reducer, self, num_coeffs, scratch);
+ }
+
+ LAUNCH_GPU_KERNEL((FullReductionKernelHalfFloat<block_size, num_per_thread, Self, Op, Index>),
+ num_blocks, block_size, 0, device, reducer, self, num_coeffs, output, scratch);
+
+ if (num_blocks > 1) {
+ LAUNCH_GPU_KERNEL((ReductionCleanupKernelHalfFloat<Op>),
+ 1, 1, 0, device, reducer, output, scratch);
+ }
+ }
+};
+#endif // EIGEN_HAS_GPU_FP16
+
+
+template <typename Self, typename Op, bool Vectorizable>
+struct FullReducer<Self, Op, GpuDevice, Vectorizable> {
+ // Unfortunately nvidia doesn't support well exotic types such as complex,
+ // so reduce the scope of the optimized version of the code to the simple cases
+ // of doubles, floats and half floats
+#ifdef EIGEN_HAS_GPU_FP16
+ static const bool HasOptimizedImplementation = !Self::ReducerTraits::IsStateful &&
+ (internal::is_same<typename Self::CoeffReturnType, float>::value ||
+ internal::is_same<typename Self::CoeffReturnType, double>::value ||
+ (internal::is_same<typename Self::CoeffReturnType, Eigen::half>::value && reducer_traits<Op, GpuDevice>::PacketAccess));
+#else // EIGEN_HAS_GPU_FP16
+ static const bool HasOptimizedImplementation = !Self::ReducerTraits::IsStateful &&
+ (internal::is_same<typename Self::CoeffReturnType, float>::value ||
+ internal::is_same<typename Self::CoeffReturnType, double>::value);
+#endif // EIGEN_HAS_GPU_FP16
+
+ template <typename OutputType>
+ static void run(const Self& self, Op& reducer, const GpuDevice& device, OutputType* output) {
+ gpu_assert(HasOptimizedImplementation && "Should only be called on doubles, floats or half floats");
+ const Index num_coeffs = array_prod(self.m_impl.dimensions());
+ // Don't crash when we're called with an input tensor of size 0.
+ if (num_coeffs == 0) {
+ return;
+ }
+
+ FullReductionLauncher<Self, Op, OutputType, reducer_traits<Op, GpuDevice>::PacketAccess>::run(self, reducer, device, output, num_coeffs);
+ }
+};
+
+
+template <int NumPerThread, typename Self,
+ typename Reducer, typename Index>
+__global__ EIGEN_HIP_LAUNCH_BOUNDS_1024 void InnerReductionKernel(Reducer reducer, const Self input, Index num_coeffs_to_reduce, Index num_preserved_coeffs,
+ typename Self::CoeffReturnType* output) {
+#if (defined(EIGEN_HIP_DEVICE_COMPILE) && defined(__HIP_ARCH_HAS_WARP_SHUFFLE__)) || (EIGEN_CUDA_ARCH >= 300)
+ typedef typename Self::CoeffReturnType Type;
+ eigen_assert(blockDim.y == 1);
+ eigen_assert(blockDim.z == 1);
+ eigen_assert(gridDim.y == 1);
+ eigen_assert(gridDim.z == 1);
+
+ const int unroll_times = 16;
+ eigen_assert(NumPerThread % unroll_times == 0);
+
+ const Index input_col_blocks = divup<Index>(num_coeffs_to_reduce, blockDim.x * NumPerThread);
+ const Index num_input_blocks = input_col_blocks * num_preserved_coeffs;
+
+ const Index num_threads = blockDim.x * gridDim.x;
+ const Index thread_id = blockIdx.x * blockDim.x + threadIdx.x;
+
+ // Initialize the output values if they weren't initialized by the ReductionInitKernel
+ if (gridDim.x == 1) {
+ for (Index i = thread_id; i < num_preserved_coeffs; i += num_threads) {
+ output[i] = reducer.initialize();
+ }
+ __syncthreads();
+ }
+
+ for (Index i = blockIdx.x; i < num_input_blocks; i += gridDim.x) {
+ const Index row = i / input_col_blocks;
+
+ if (row < num_preserved_coeffs) {
+ const Index col_block = i % input_col_blocks;
+ const Index col_begin = col_block * blockDim.x * NumPerThread + threadIdx.x;
+
+ Type reduced_val = reducer.initialize();
+
+ for (Index j = 0; j < NumPerThread; j += unroll_times) {
+ const Index last_col = col_begin + blockDim.x * (j + unroll_times - 1);
+ if (last_col >= num_coeffs_to_reduce) {
+ for (Index col = col_begin + blockDim.x * j; col < num_coeffs_to_reduce; col += blockDim.x) {
+ const Type val = input.m_impl.coeff(row * num_coeffs_to_reduce + col);
+ reducer.reduce(val, &reduced_val);
+ }
+ break;
+ } else {
+ // Faster version of the loop with no branches after unrolling.
+#pragma unroll
+ for (int k = 0; k < unroll_times; ++k) {
+ const Index col = col_begin + blockDim.x * (j + k);
+ reducer.reduce(input.m_impl.coeff(row * num_coeffs_to_reduce + col), &reduced_val);
+ }
+ }
+ }
+
+#pragma unroll
+ for (int offset = warpSize/2; offset > 0; offset /= 2) {
+ #if defined(EIGEN_HIPCC)
+ // use std::is_floating_point to determine the type of reduced_val
+ // This is needed because when Type == double, hipcc will give a "call to __shfl_down is ambguous" error
+ // and list the float and int versions of __shfl_down as the candidate functions.
+ if (std::is_floating_point<Type>::value) {
+ reducer.reduce(__shfl_down(static_cast<float>(reduced_val), offset), &reduced_val);
+ } else {
+ reducer.reduce(__shfl_down(static_cast<int>(reduced_val), offset), &reduced_val);
+ }
+ #elif defined(EIGEN_CUDA_SDK_VER) && EIGEN_CUDA_SDK_VER < 90000
+ reducer.reduce(__shfl_down(reduced_val, offset), &reduced_val);
+ #else
+ reducer.reduce(__shfl_down_sync(0xFFFFFFFF, reduced_val, offset), &reduced_val);
+ #endif
+ }
+
+ if ((threadIdx.x & (warpSize - 1)) == 0) {
+ atomicReduce(&(output[row]), reduced_val, reducer);
+ }
+ }
+ }
+#else // EIGEN_CUDA_ARCH >= 300
+ gpu_assert(0 && "Shouldn't be called on unsupported device");
+#endif // EIGEN_CUDA_ARCH >= 300
+}
+
+#ifdef EIGEN_HAS_GPU_FP16
+
+template <int NumPerThread, typename Self,
+ typename Reducer, typename Index>
+__global__ EIGEN_HIP_LAUNCH_BOUNDS_1024 void InnerReductionKernelHalfFloat(Reducer reducer, const Self input, Index num_coeffs_to_reduce, Index num_preserved_coeffs,
+ half* output) {
+ eigen_assert(blockDim.y == 1);
+ eigen_assert(blockDim.z == 1);
+ eigen_assert(gridDim.y == 1);
+ eigen_assert(gridDim.z == 1);
+
+ typedef typename packet_traits<Eigen::half>::type PacketType;
+ const int packet_width = unpacket_traits<PacketType>::size;
+ const int unroll_times = 16 / packet_width;
+ eigen_assert(NumPerThread % unroll_times == 0);
+ eigen_assert(unroll_times % 2 == 0);
+
+ const Index input_col_blocks = divup<Index>(num_coeffs_to_reduce, blockDim.x * NumPerThread * 2);
+ const Index num_input_blocks = divup<Index>(input_col_blocks * num_preserved_coeffs, 2);
+
+ const Index num_threads = blockDim.x * gridDim.x;
+ const Index thread_id = blockIdx.x * blockDim.x + threadIdx.x;
+
+ // Initialize the output values if they weren't initialized by the ReductionInitKernel
+ if (gridDim.x == 1) {
+ Index i = packet_width * thread_id;
+ for (; i + packet_width <= num_preserved_coeffs;
+ i += packet_width * num_threads) {
+ PacketType* poutput = reinterpret_cast<PacketType*>(output + i);
+ *poutput = reducer.template initializePacket<PacketType>();
+ }
+ if (i < num_preserved_coeffs) {
+ output[i] = reducer.initialize();
+ }
+ __syncthreads();
+ }
+
+ for (Index i = blockIdx.x; i < num_input_blocks; i += gridDim.x) {
+ const Index row = 2 * (i / input_col_blocks); // everybody takes 2 rows
+
+ if (row + 1 < num_preserved_coeffs) {
+ const Index col_block = i % input_col_blocks;
+ const Index col_begin =
+ packet_width * (col_block * blockDim.x * NumPerThread + threadIdx.x);
+
+ PacketType reduced_val1 = reducer.template initializePacket<PacketType>();
+ PacketType reduced_val2 = reducer.template initializePacket<PacketType>();
+
+ for (Index j = 0; j < NumPerThread; j += unroll_times) {
+ const Index last_col =
+ col_begin + blockDim.x * (j + unroll_times - 1) * packet_width;
+ if (last_col >= num_coeffs_to_reduce) {
+ Index col = col_begin + blockDim.x * j;
+ for (; col + packet_width <= num_coeffs_to_reduce;
+ col += blockDim.x) {
+ const PacketType val1 = input.m_impl.template packet<Unaligned>(
+ row * num_coeffs_to_reduce + col);
+ reducer.reducePacket(val1, &reduced_val1);
+ const PacketType val2 = input.m_impl.template packet<Unaligned>(
+ (row + 1) * num_coeffs_to_reduce + col);
+ reducer.reducePacket(val2, &reduced_val2);
+ }
+ if (col < num_coeffs_to_reduce) {
+ PacketType r1 = reducer.template initializePacket<PacketType>();
+ PacketType r2 = reducer.template initializePacket<PacketType>();
+ half2* hr1 = reinterpret_cast<half2*>(&r1);
+ half2* hr2 = reinterpret_cast<half2*>(&r2);
+ while (col + 1 < num_coeffs_to_reduce) {
+ *hr1 = __halves2half2(
+ input.m_impl.coeff(row * num_coeffs_to_reduce + col),
+ input.m_impl.coeff(row * num_coeffs_to_reduce + col + 1));
+ *hr2 = __halves2half2(
+ input.m_impl.coeff((row + 1) * num_coeffs_to_reduce + col),
+ input.m_impl.coeff((row + 1) * num_coeffs_to_reduce + col +
+ 1));
+ hr1++;
+ hr2++;
+ col += 2;
+ }
+ if (col < num_coeffs_to_reduce) {
+ // Peel;
+ const half last1 =
+ input.m_impl.coeff(row * num_coeffs_to_reduce + col);
+ *hr1 = __halves2half2(last1, reducer.initialize());
+ const half last2 =
+ input.m_impl.coeff((row + 1) * num_coeffs_to_reduce + col);
+ *hr2 = __halves2half2(last2, reducer.initialize());
+ }
+ reducer.reducePacket(r1, &reduced_val1);
+ reducer.reducePacket(r2, &reduced_val2);
+ }
+ break;
+ } else {
+ // Faster version of the loop with no branches after unrolling.
+#pragma unroll
+ for (int k = 0; k < unroll_times; ++k) {
+ const Index col = col_begin + blockDim.x * (j + k) * packet_width;
+ reducer.reducePacket(input.m_impl.template packet<Unaligned>(
+ row * num_coeffs_to_reduce + col),
+ &reduced_val1);
+ reducer.reducePacket(input.m_impl.template packet<Unaligned>(
+ (row + 1) * num_coeffs_to_reduce + col),
+ &reduced_val2);
+ }
+ }
+ }
+
+#pragma unroll
+ for (int offset = warpSize/2; offset > 0; offset /= 2) {
+ #if defined(EIGEN_HIPCC)
+ PacketType r1;
+ PacketType r2;
+ half2* hr1 = reinterpret_cast<half2*>(&r1);
+ half2* hr2 = reinterpret_cast<half2*>(&r2);
+ half2* rv1 = reinterpret_cast<half2*>(&reduced_val1);
+ half2* rv2 = reinterpret_cast<half2*>(&reduced_val2);
+ for (int i = 0; i < packet_width / 2; i++) {
+ // FIXME : remove this workaround once we have native half/half2 support for __shfl_down
+ union { int i; half2 h; } wka_in1, wka_out1;
+ wka_in1.h = rv1[i];
+ wka_out1.i = __shfl_down(wka_in1.i, offset, warpSize);
+ hr1[i] = wka_out1.h;
+
+ union { int i; half2 h; } wka_in2, wka_out2;
+ wka_in2.h = rv2[i];
+ wka_out2.i = __shfl_down(wka_in2.i, offset, warpSize);
+ hr2[i] = wka_out2.h;
+ }
+ reducer.reducePacket(r1, &reduced_val1);
+ reducer.reducePacket(r2, &reduced_val2);
+ #elif defined(EIGEN_CUDA_SDK_VER) && EIGEN_CUDA_SDK_VER < 90000
+ PacketType r1;
+ PacketType r2;
+ half2* hr1 = reinterpret_cast<half2*>(&r1);
+ half2* hr2 = reinterpret_cast<half2*>(&r2);
+ half2* rv1 = reinterpret_cast<half2*>(&reduced_val1);
+ half2* rv2 = reinterpret_cast<half2*>(&reduced_val2);
+ for (int i = 0; i < packet_width / 2; i++) {
+ hr1[i] = __shfl_down(rv1[i], offset, warpSize);
+ hr2[i] = __shfl_down(rv2[i], offset, warpSize);
+ }
+ reducer.reducePacket(r1, &reduced_val1);
+ reducer.reducePacket(r2, &reduced_val2);
+ #else
+ PacketType r1;
+ PacketType r2;
+ half2* hr1 = reinterpret_cast<half2*>(&r1);
+ half2* hr2 = reinterpret_cast<half2*>(&r2);
+ half2* rr1 = reinterpret_cast<half2*>(&reduced_val1);
+ half2* rr2 = reinterpret_cast<half2*>(&reduced_val2);
+ for (int i = 0; i < packet_width / 2; i++) {
+ hr1[i] =
+ __shfl_down_sync(0xFFFFFFFF, rr1[i], (unsigned)offset, warpSize);
+ hr2[i] =
+ __shfl_down_sync(0xFFFFFFFF, rr2[i], (unsigned)offset, warpSize);
+ }
+ reducer.reducePacket(r1, &reduced_val1);
+ reducer.reducePacket(r2, &reduced_val2);
+
+ #endif
+ }
+ half2* rv1 = reinterpret_cast<half2*>(&reduced_val1);
+ half2* rv2 = reinterpret_cast<half2*>(&reduced_val2);
+ half2 val;
+ if (packet_width > 2) {
+ reducer.reducePacket(rv1[2], rv1);
+ reducer.reducePacket(rv1[3], rv1 + 1);
+ reducer.reducePacket(rv1[1], rv1);
+ reducer.reducePacket(rv2[2], rv2);
+ reducer.reducePacket(rv2[3], rv2 + 1);
+ reducer.reducePacket(rv2[1], rv2);
+ }
+ half val1 = __low2half(*rv1);
+ reducer.reduce(__high2half(*rv1), &val1);
+ half val2 = __low2half(*rv2);
+ reducer.reduce(__high2half(*rv2), &val2);
+ val = __halves2half2(val1, val2);
+ if ((threadIdx.x & (warpSize - 1)) == 0) {
+ half* loc = output + row;
+ atomicReduce((half2*)loc, val, reducer);
+ }
+ }
+ }
+}
+
+#endif // EIGEN_HAS_GPU_FP16
+
+template <typename Self, typename Op, typename OutputType, bool PacketAccess, typename Enabled = void>
+struct InnerReductionLauncher {
+ static EIGEN_DEVICE_FUNC bool run(const Self&, Op&, const GpuDevice&, OutputType*, typename Self::Index, typename Self::Index) {
+ gpu_assert(false && "Should only be called to reduce doubles, floats and half floats on a gpu device");
+ return true;
+ }
+};
+
+// Specialization for float and double
+template <typename Self, typename Op, typename OutputType, bool PacketAccess>
+struct InnerReductionLauncher<
+ Self, Op, OutputType, PacketAccess,
+ typename internal::enable_if<
+ internal::is_same<float, OutputType>::value ||
+ internal::is_same<double, OutputType>::value,
+ void>::type> {
+ static bool run(const Self& self, Op& reducer, const GpuDevice& device, OutputType* output, typename Self::Index num_coeffs_to_reduce, typename Self::Index num_preserved_vals) {
+ typedef typename Self::Index Index;
+
+ const Index num_coeffs = num_coeffs_to_reduce * num_preserved_vals;
+ const int block_size = 256;
+ const int num_per_thread = 128;
+ const int dyn_blocks = divup<int>(num_coeffs, block_size * num_per_thread);
+ const int max_blocks = device.getNumGpuMultiProcessors() *
+ device.maxGpuThreadsPerMultiProcessor() / block_size;
+ const int num_blocks = numext::mini<int>(max_blocks, dyn_blocks);
+
+ if (num_blocks > 1) {
+ // We initialize the outputs outside the reduction kernel when we can't be sure that there
+ // won't be a race conditions between multiple thread blocks.
+ const int dyn_blocks = divup<int>(num_preserved_vals, 1024);
+ const int max_blocks = device.getNumGpuMultiProcessors() *
+ device.maxGpuThreadsPerMultiProcessor() / 1024;
+ const int num_blocks = numext::mini<int>(max_blocks, dyn_blocks);
+ LAUNCH_GPU_KERNEL((ReductionInitKernel<OutputType, Index>),
+ num_blocks, 1024, 0, device, reducer.initialize(),
+ num_preserved_vals, output);
+ }
+
+ LAUNCH_GPU_KERNEL((InnerReductionKernel<num_per_thread, Self, Op, Index>),
+ num_blocks, block_size, 0, device, reducer, self, num_coeffs_to_reduce, num_preserved_vals, output);
+
+ return false;
+ }
+};
+
+#ifdef EIGEN_HAS_GPU_FP16
+template <typename Self, typename Op>
+struct InnerReductionLauncher<Self, Op, Eigen::half, false> {
+ static bool run(const Self&, Op&, const GpuDevice&, half*, typename Self::Index, typename Self::Index) {
+ gpu_assert(false && "Should not be called since there is no packet accessor");
+ return true;
+ }
+};
+
+template <typename Self, typename Op>
+struct InnerReductionLauncher<Self, Op, Eigen::half, true> {
+ static bool run(const Self& self, Op& reducer, const GpuDevice& device, half* output, typename Self::Index num_coeffs_to_reduce, typename Self::Index num_preserved_vals) {
+ typedef typename Self::Index Index;
+
+ if (num_preserved_vals % 2 != 0) {
+ // Not supported yet, revert to the slower code path
+ return true;
+ }
+
+ const Index num_coeffs = num_coeffs_to_reduce * num_preserved_vals;
+ const int block_size = /*256*/128;
+ const int num_per_thread = /*128*/64;
+ const int dyn_blocks = divup<int>(num_coeffs, block_size * num_per_thread);
+ const int max_blocks = device.getNumGpuMultiProcessors() *
+ device.maxGpuThreadsPerMultiProcessor() / block_size;
+ const int num_blocks = numext::mini<int>(max_blocks, dyn_blocks);
+
+ if (num_blocks > 1) {
+ // We initialize the outputs outside the reduction kernel when we can't be sure that there
+ // won't be a race conditions between multiple thread blocks.
+ LAUNCH_GPU_KERNEL((ReductionInitKernelHalfFloat<Self, Op, Index>),
+ 1, 1, 0, device, reducer, self, num_preserved_vals, output);
+ }
+
+ LAUNCH_GPU_KERNEL((InnerReductionKernelHalfFloat<num_per_thread, Self, Op, Index>),
+ num_blocks, block_size, 0, device, reducer, self, num_coeffs_to_reduce, num_preserved_vals, output);
+
+ return false;
+ }
+};
+#endif // EIGEN_HAS_GPU_FP16
+
+
+template <typename Self, typename Op>
+struct InnerReducer<Self, Op, GpuDevice> {
+ // Unfortunately nvidia doesn't support well exotic types such as complex,
+ // so reduce the scope of the optimized version of the code to the simple case
+ // of floats and half floats.
+#ifdef EIGEN_HAS_GPU_FP16
+ static const bool HasOptimizedImplementation = !Self::ReducerTraits::IsStateful &&
+ (internal::is_same<typename Self::CoeffReturnType, float>::value ||
+ internal::is_same<typename Self::CoeffReturnType, double>::value ||
+ (internal::is_same<typename Self::CoeffReturnType, Eigen::half>::value && reducer_traits<Op, GpuDevice>::PacketAccess));
+#else // EIGEN_HAS_GPU_FP16
+ static const bool HasOptimizedImplementation = !Self::ReducerTraits::IsStateful &&
+ (internal::is_same<typename Self::CoeffReturnType, float>::value ||
+ internal::is_same<typename Self::CoeffReturnType, double>::value);
+#endif // EIGEN_HAS_GPU_FP16
+
+ template <typename OutputType>
+ static bool run(const Self& self, Op& reducer, const GpuDevice& device, OutputType* output, typename Self::Index num_coeffs_to_reduce, typename Self::Index num_preserved_vals) {
+ gpu_assert(HasOptimizedImplementation && "Should only be called on doubles, floats or half floats");
+ const Index num_coeffs = array_prod(self.m_impl.dimensions());
+ // Don't crash when we're called with an input tensor of size 0.
+ if (num_coeffs == 0) {
+ return true;
+ }
+ // It's faster to use the usual code.
+ if (num_coeffs_to_reduce <= 128) {
+ return true;
+ }
+
+ return InnerReductionLauncher<Self, Op, OutputType, reducer_traits<Op, GpuDevice>::PacketAccess>::run(self, reducer, device, output, num_coeffs_to_reduce, num_preserved_vals);
+ }
+};
+
+template <int NumPerThread, typename Self,
+ typename Reducer, typename Index>
+__global__ EIGEN_HIP_LAUNCH_BOUNDS_1024 void OuterReductionKernel(Reducer reducer, const Self input, Index num_coeffs_to_reduce, Index num_preserved_coeffs,
+ typename Self::CoeffReturnType* output) {
+ const Index num_threads = blockDim.x * gridDim.x;
+ const Index thread_id = blockIdx.x * blockDim.x + threadIdx.x;
+ // Initialize the output values if they weren't initialized by the ReductionInitKernel
+ if (gridDim.x == 1) {
+ for (Index i = thread_id; i < num_preserved_coeffs; i += num_threads) {
+ output[i] = reducer.initialize();
+ }
+ __syncthreads();
+ }
+
+ // Do the reduction.
+ const Index max_iter = num_preserved_coeffs * divup<Index>(num_coeffs_to_reduce, NumPerThread);
+ for (Index i = thread_id; i < max_iter; i += num_threads) {
+ const Index input_col = i % num_preserved_coeffs;
+ const Index input_row = (i / num_preserved_coeffs) * NumPerThread;
+ typename Self::CoeffReturnType reduced_val = reducer.initialize();
+ const Index max_row = numext::mini(input_row + NumPerThread, num_coeffs_to_reduce);
+ for (Index j = input_row; j < max_row; j++) {
+ typename Self::CoeffReturnType val = input.m_impl.coeff(j * num_preserved_coeffs + input_col);
+ reducer.reduce(val, &reduced_val);
+ }
+ atomicReduce(&(output[input_col]), reduced_val, reducer);
+ }
+}
+
+
+template <typename Self, typename Op>
+struct OuterReducer<Self, Op, GpuDevice> {
+ // Unfortunately nvidia doesn't support well exotic types such as complex,
+ // so reduce the scope of the optimized version of the code to the simple case
+ // of floats.
+ static const bool HasOptimizedImplementation = !Self::ReducerTraits::IsStateful &&
+ (internal::is_same<typename Self::CoeffReturnType, float>::value ||
+ internal::is_same<typename Self::CoeffReturnType, double>::value);
+ template <typename Device, typename OutputType>
+ static
+ #if !defined(EIGEN_HIPCC)
+ // FIXME : leaving this EIGEN_DEVICE_FUNC in, results in the following runtime error
+ // (in the cxx11_tensor_reduction_gpu test)
+ //
+ // terminate called after throwing an instance of 'std::runtime_error'
+ // what(): No device code available for function: _ZN5Eigen8internal20OuterReductionKernelIL...
+ //
+ // don't know why this happens (and why is it a runtime error instead of a compile time error)
+ //
+ // this will be fixed by HIP PR#457
+ EIGEN_DEVICE_FUNC
+ #endif
+ bool run(const Self&, Op&, const Device&, OutputType*, typename Self::Index, typename Self::Index) {
+ gpu_assert(false && "Should only be called to reduce doubles or floats on a gpu device");
+ return true;
+ }
+
+ static bool run(const Self& self, Op& reducer, const GpuDevice& device, float* output, typename Self::Index num_coeffs_to_reduce, typename Self::Index num_preserved_vals) {
+ typedef typename Self::Index Index;
+
+ // It's faster to use the usual code.
+ if (num_coeffs_to_reduce <= 32) {
+ return true;
+ }
+
+ const Index num_coeffs = num_coeffs_to_reduce * num_preserved_vals;
+ const int block_size = 256;
+ const int num_per_thread = 16;
+ const int dyn_blocks = divup<int>(num_coeffs, block_size * num_per_thread);
+ const int max_blocks = device.getNumGpuMultiProcessors() *
+ device.maxGpuThreadsPerMultiProcessor() / block_size;
+ const int num_blocks = numext::mini<int>(max_blocks, dyn_blocks);
+
+ if (num_blocks > 1) {
+ // We initialize the outputs in the reduction kernel itself when we don't have to worry
+ // about race conditions between multiple thread blocks.
+ const int dyn_blocks = divup<int>(num_preserved_vals, 1024);
+ const int max_blocks = device.getNumGpuMultiProcessors() *
+ device.maxGpuThreadsPerMultiProcessor() / 1024;
+ const int num_blocks = numext::mini<int>(max_blocks, dyn_blocks);
+ LAUNCH_GPU_KERNEL((ReductionInitKernel<float, Index>),
+ num_blocks, 1024, 0, device, reducer.initialize(),
+ num_preserved_vals, output);
+ }
+
+ LAUNCH_GPU_KERNEL((OuterReductionKernel<num_per_thread, Self, Op, Index>),
+ num_blocks, block_size, 0, device, reducer, self, num_coeffs_to_reduce, num_preserved_vals, output);
+
+ return false;
+ }
+};
+
+#endif // defined(EIGEN_USE_GPU) && defined(EIGEN_GPUCC)
+
+
+} // end namespace internal
+} // end namespace Eigen
+
+#endif // EIGEN_CXX11_TENSOR_TENSOR_REDUCTION_GPU_H