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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>
+// Copyright (C) 2016 Mehdi Goli, Codeplay Software Ltd <eigen@codeplay.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_H
+#define EIGEN_CXX11_TENSOR_TENSOR_REDUCTION_H
+
+namespace Eigen {
+
+/** \class TensorReduction
+ * \ingroup CXX11_Tensor_Module
+ *
+ * \brief Tensor reduction class.
+ *
+ */
+
+namespace internal {
+ template<typename Op, typename Dims, typename XprType,template <class> class MakePointer_ >
+ struct traits<TensorReductionOp<Op, Dims, XprType, MakePointer_> >
+ : traits<XprType>
+{
+ typedef traits<XprType> XprTraits;
+ typedef typename XprTraits::Scalar Scalar;
+ typedef typename XprTraits::StorageKind StorageKind;
+ typedef typename XprTraits::Index Index;
+ typedef typename XprType::Nested Nested;
+ static const int NumDimensions = XprTraits::NumDimensions - array_size<Dims>::value;
+ static const int Layout = XprTraits::Layout;
+
+ template <class T> struct MakePointer {
+ // Intermediate typedef to workaround MSVC issue.
+ typedef MakePointer_<T> MakePointerT;
+ typedef typename MakePointerT::Type Type;
+ };
+};
+
+template<typename Op, typename Dims, typename XprType, template <class> class MakePointer_>
+struct eval<TensorReductionOp<Op, Dims, XprType, MakePointer_>, Eigen::Dense>
+{
+ typedef const TensorReductionOp<Op, Dims, XprType, MakePointer_>& type;
+};
+
+template<typename Op, typename Dims, typename XprType, template <class> class MakePointer_>
+struct nested<TensorReductionOp<Op, Dims, XprType, MakePointer_>, 1, typename eval<TensorReductionOp<Op, Dims, XprType, MakePointer_> >::type>
+{
+ typedef TensorReductionOp<Op, Dims, XprType, MakePointer_> type;
+};
+
+
+template <typename OutputDims> struct DimInitializer {
+ template <typename InputDims, typename ReducedDims> EIGEN_DEVICE_FUNC
+ static void run(const InputDims& input_dims,
+ const array<bool, internal::array_size<InputDims>::value>& reduced,
+ OutputDims* output_dims, ReducedDims* reduced_dims) {
+ const int NumInputDims = internal::array_size<InputDims>::value;
+ int outputIndex = 0;
+ int reduceIndex = 0;
+ for (int i = 0; i < NumInputDims; ++i) {
+ if (reduced[i]) {
+ (*reduced_dims)[reduceIndex] = input_dims[i];
+ ++reduceIndex;
+ } else {
+ (*output_dims)[outputIndex] = input_dims[i];
+ ++outputIndex;
+ }
+ }
+ }
+};
+
+template <> struct DimInitializer<Sizes<> > {
+ template <typename InputDims, typename Index, size_t Rank> EIGEN_DEVICE_FUNC
+ static void run(const InputDims& input_dims, const array<bool, Rank>&,
+ Sizes<>*, array<Index, Rank>* reduced_dims) {
+ const int NumInputDims = internal::array_size<InputDims>::value;
+ for (int i = 0; i < NumInputDims; ++i) {
+ (*reduced_dims)[i] = input_dims[i];
+ }
+ }
+};
+
+
+template <typename ReducedDims, int NumTensorDims, int Layout>
+struct are_inner_most_dims {
+ static const bool value = false;
+};
+template <typename ReducedDims, int NumTensorDims, int Layout>
+struct preserve_inner_most_dims {
+ static const bool value = false;
+};
+
+#if EIGEN_HAS_CONSTEXPR && EIGEN_HAS_VARIADIC_TEMPLATES
+template <typename ReducedDims, int NumTensorDims>
+struct are_inner_most_dims<ReducedDims, NumTensorDims, ColMajor>{
+ static const bool tmp1 = indices_statically_known_to_increase<ReducedDims>();
+ static const bool tmp2 = index_statically_eq<ReducedDims>(0, 0);
+ static const bool tmp3 = index_statically_eq<ReducedDims>(array_size<ReducedDims>::value-1, array_size<ReducedDims>::value-1);
+ static const bool value = tmp1 & tmp2 & tmp3;
+};
+template <typename ReducedDims, int NumTensorDims>
+struct are_inner_most_dims<ReducedDims, NumTensorDims, RowMajor>{
+ static const bool tmp1 = indices_statically_known_to_increase<ReducedDims>();
+ static const bool tmp2 = index_statically_eq<ReducedDims>(0, NumTensorDims - array_size<ReducedDims>::value);
+ static const bool tmp3 = index_statically_eq<ReducedDims>(array_size<ReducedDims>::value - 1, NumTensorDims - 1);
+ static const bool value = tmp1 & tmp2 & tmp3;
+
+};
+template <typename ReducedDims, int NumTensorDims>
+struct preserve_inner_most_dims<ReducedDims, NumTensorDims, ColMajor>{
+ static const bool tmp1 = indices_statically_known_to_increase<ReducedDims>();
+ static const bool tmp2 = index_statically_gt<ReducedDims>(0, 0);
+ static const bool value = tmp1 & tmp2;
+
+};
+template <typename ReducedDims, int NumTensorDims>
+struct preserve_inner_most_dims<ReducedDims, NumTensorDims, RowMajor>{
+ static const bool tmp1 = indices_statically_known_to_increase<ReducedDims>();
+ static const bool tmp2 = index_statically_lt<ReducedDims>(array_size<ReducedDims>::value - 1, NumTensorDims - 1);
+ static const bool value = tmp1 & tmp2;
+};
+#endif
+
+
+template <int DimIndex, typename Self, typename Op>
+struct GenericDimReducer {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const Self& self, typename Self::Index firstIndex, Op& reducer, typename Self::CoeffReturnType* accum) {
+ EIGEN_STATIC_ASSERT((DimIndex > 0), YOU_MADE_A_PROGRAMMING_MISTAKE);
+ for (int j = 0; j < self.m_reducedDims[DimIndex]; ++j) {
+ const typename Self::Index input = firstIndex + j * self.m_reducedStrides[DimIndex];
+ GenericDimReducer<DimIndex-1, Self, Op>::reduce(self, input, reducer, accum);
+ }
+ }
+};
+template <typename Self, typename Op>
+struct GenericDimReducer<0, Self, Op> {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const Self& self, typename Self::Index firstIndex, Op& reducer, typename Self::CoeffReturnType* accum) {
+ for (int j = 0; j < self.m_reducedDims[0]; ++j) {
+ const typename Self::Index input = firstIndex + j * self.m_reducedStrides[0];
+ reducer.reduce(self.m_impl.coeff(input), accum);
+ }
+ }
+};
+template <typename Self, typename Op>
+struct GenericDimReducer<-1, Self, Op> {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const Self& self, typename Self::Index index, Op& reducer, typename Self::CoeffReturnType* accum) {
+ reducer.reduce(self.m_impl.coeff(index), accum);
+ }
+};
+
+template <typename Self, typename Op, bool Vectorizable = (Self::InputPacketAccess & Op::PacketAccess)>
+struct InnerMostDimReducer {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE typename Self::CoeffReturnType reduce(const Self& self, typename Self::Index firstIndex, typename Self::Index numValuesToReduce, Op& reducer) {
+ typename Self::CoeffReturnType accum = reducer.initialize();
+ for (typename Self::Index j = 0; j < numValuesToReduce; ++j) {
+ reducer.reduce(self.m_impl.coeff(firstIndex + j), &accum);
+ }
+ return reducer.finalize(accum);
+ }
+};
+
+template <typename Self, typename Op>
+struct InnerMostDimReducer<Self, Op, true> {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE typename Self::CoeffReturnType reduce(const Self& self, typename Self::Index firstIndex, typename Self::Index numValuesToReduce, Op& reducer) {
+ const int packetSize = internal::unpacket_traits<typename Self::PacketReturnType>::size;
+ const typename Self::Index VectorizedSize = (numValuesToReduce / packetSize) * packetSize;
+ typename Self::PacketReturnType p = reducer.template initializePacket<typename Self::PacketReturnType>();
+ for (typename Self::Index j = 0; j < VectorizedSize; j += packetSize) {
+ reducer.reducePacket(self.m_impl.template packet<Unaligned>(firstIndex + j), &p);
+ }
+ typename Self::CoeffReturnType accum = reducer.initialize();
+ for (typename Self::Index j = VectorizedSize; j < numValuesToReduce; ++j) {
+ reducer.reduce(self.m_impl.coeff(firstIndex + j), &accum);
+ }
+ return reducer.finalizeBoth(accum, p);
+ }
+};
+
+template <int DimIndex, typename Self, typename Op, bool vectorizable = (Self::InputPacketAccess & Op::PacketAccess)>
+struct InnerMostDimPreserver {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const Self&, typename Self::Index, Op&, typename Self::PacketReturnType*) {
+ eigen_assert(false && "should never be called");
+ }
+};
+
+template <int DimIndex, typename Self, typename Op>
+struct InnerMostDimPreserver<DimIndex, Self, Op, true> {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const Self& self, typename Self::Index firstIndex, Op& reducer, typename Self::PacketReturnType* accum) {
+ EIGEN_STATIC_ASSERT((DimIndex > 0), YOU_MADE_A_PROGRAMMING_MISTAKE);
+ for (typename Self::Index j = 0; j < self.m_reducedDims[DimIndex]; ++j) {
+ const typename Self::Index input = firstIndex + j * self.m_reducedStrides[DimIndex];
+ InnerMostDimPreserver<DimIndex-1, Self, Op>::reduce(self, input, reducer, accum);
+ }
+ }
+};
+
+template <typename Self, typename Op>
+struct InnerMostDimPreserver<0, Self, Op, true> {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const Self& self, typename Self::Index firstIndex, Op& reducer, typename Self::PacketReturnType* accum) {
+ for (typename Self::Index j = 0; j < self.m_reducedDims[0]; ++j) {
+ const typename Self::Index input = firstIndex + j * self.m_reducedStrides[0];
+ reducer.reducePacket(self.m_impl.template packet<Unaligned>(input), accum);
+ }
+ }
+};
+template <typename Self, typename Op>
+struct InnerMostDimPreserver<-1, Self, Op, true> {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void reduce(const Self&, typename Self::Index, Op&, typename Self::PacketReturnType*) {
+ eigen_assert(false && "should never be called");
+ }
+};
+
+// Default full reducer
+template <typename Self, typename Op, typename Device, bool Vectorizable = (Self::InputPacketAccess & Op::PacketAccess)>
+struct FullReducer {
+ static const bool HasOptimizedImplementation = false;
+
+ static EIGEN_DEVICE_FUNC void run(const Self& self, Op& reducer, const Device&, typename Self::CoeffReturnType* output) {
+ const typename Self::Index num_coeffs = array_prod(self.m_impl.dimensions());
+ *output = InnerMostDimReducer<Self, Op, Vectorizable>::reduce(self, 0, num_coeffs, reducer);
+ }
+};
+
+
+#ifdef EIGEN_USE_THREADS
+// Multithreaded full reducers
+template <typename Self, typename Op,
+ bool Vectorizable = (Self::InputPacketAccess & Op::PacketAccess)>
+struct FullReducerShard {
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void run(const Self& self, typename Self::Index firstIndex,
+ typename Self::Index numValuesToReduce, Op& reducer,
+ typename Self::CoeffReturnType* output) {
+ *output = InnerMostDimReducer<Self, Op, Vectorizable>::reduce(
+ self, firstIndex, numValuesToReduce, reducer);
+ }
+};
+
+// Multithreaded full reducer
+template <typename Self, typename Op, bool Vectorizable>
+struct FullReducer<Self, Op, ThreadPoolDevice, Vectorizable> {
+ static const bool HasOptimizedImplementation = !Op::IsStateful;
+ static const int PacketSize =
+ unpacket_traits<typename Self::PacketReturnType>::size;
+
+ // launch one reducer per thread and accumulate the result.
+ static void run(const Self& self, Op& reducer, const ThreadPoolDevice& device,
+ typename Self::CoeffReturnType* output) {
+ typedef typename Self::Index Index;
+ const Index num_coeffs = array_prod(self.m_impl.dimensions());
+ if (num_coeffs == 0) {
+ *output = reducer.finalize(reducer.initialize());
+ return;
+ }
+ const TensorOpCost cost =
+ self.m_impl.costPerCoeff(Vectorizable) +
+ TensorOpCost(0, 0, internal::functor_traits<Op>::Cost, Vectorizable,
+ PacketSize);
+ const int num_threads = TensorCostModel<ThreadPoolDevice>::numThreads(
+ num_coeffs, cost, device.numThreads());
+ if (num_threads == 1) {
+ *output =
+ InnerMostDimReducer<Self, Op, Vectorizable>::reduce(self, 0, num_coeffs, reducer);
+ return;
+ }
+ const Index blocksize =
+ std::floor<Index>(static_cast<float>(num_coeffs) / num_threads);
+ const Index numblocks = blocksize > 0 ? num_coeffs / blocksize : 0;
+ eigen_assert(num_coeffs >= numblocks * blocksize);
+
+ Barrier barrier(internal::convert_index<unsigned int>(numblocks));
+ MaxSizeVector<typename Self::CoeffReturnType> shards(numblocks, reducer.initialize());
+ for (Index i = 0; i < numblocks; ++i) {
+ device.enqueue_with_barrier(&barrier, &FullReducerShard<Self, Op, Vectorizable>::run,
+ self, i * blocksize, blocksize, reducer,
+ &shards[i]);
+ }
+ typename Self::CoeffReturnType finalShard;
+ if (numblocks * blocksize < num_coeffs) {
+ finalShard = InnerMostDimReducer<Self, Op, Vectorizable>::reduce(
+ self, numblocks * blocksize, num_coeffs - numblocks * blocksize,
+ reducer);
+ } else {
+ finalShard = reducer.initialize();
+ }
+ barrier.Wait();
+
+ for (Index i = 0; i < numblocks; ++i) {
+ reducer.reduce(shards[i], &finalShard);
+ }
+ *output = reducer.finalize(finalShard);
+ }
+};
+
+#endif
+
+
+// Default inner reducer
+template <typename Self, typename Op, typename Device>
+struct InnerReducer {
+ static const bool HasOptimizedImplementation = false;
+
+ EIGEN_DEVICE_FUNC static bool run(const Self&, Op&, const Device&, typename Self::CoeffReturnType*, typename Self::Index, typename Self::Index) {
+ eigen_assert(false && "Not implemented");
+ return true;
+ }
+};
+
+// Default outer reducer
+template <typename Self, typename Op, typename Device>
+struct OuterReducer {
+ static const bool HasOptimizedImplementation = false;
+
+ EIGEN_DEVICE_FUNC static bool run(const Self&, Op&, const Device&, typename Self::CoeffReturnType*, typename Self::Index, typename Self::Index) {
+ eigen_assert(false && "Not implemented");
+ return true;
+ }
+};
+
+
+#if defined(EIGEN_USE_GPU) && defined(__CUDACC__)
+template <int B, int N, typename S, typename R, typename I>
+__global__ void FullReductionKernel(R, const S, I, typename S::CoeffReturnType*, unsigned int*);
+
+
+#ifdef EIGEN_HAS_CUDA_FP16
+template <typename S, typename R, typename I>
+__global__ void ReductionInitFullReduxKernelHalfFloat(R, const S, I, half2*);
+template <int B, int N, typename S, typename R, typename I>
+__global__ void FullReductionKernelHalfFloat(R, const S, I, half*, half2*);
+template <int NPT, typename S, typename R, typename I>
+__global__ void InnerReductionKernelHalfFloat(R, const S, I, I, half*);
+
+#endif
+
+template <int NPT, typename S, typename R, typename I>
+__global__ void InnerReductionKernel(R, const S, I, I, typename S::CoeffReturnType*);
+
+template <int NPT, typename S, typename R, typename I>
+__global__ void OuterReductionKernel(R, const S, I, I, typename S::CoeffReturnType*);
+#endif
+
+} // end namespace internal
+
+
+template <typename Op, typename Dims, typename XprType, template <class> class MakePointer_>
+class TensorReductionOp : public TensorBase<TensorReductionOp<Op, Dims, XprType, MakePointer_>, ReadOnlyAccessors> {
+ public:
+ typedef typename Eigen::internal::traits<TensorReductionOp>::Scalar Scalar;
+ typedef typename Eigen::NumTraits<Scalar>::Real RealScalar;
+ typedef typename internal::remove_const<typename XprType::CoeffReturnType>::type CoeffReturnType;
+ typedef typename Eigen::internal::nested<TensorReductionOp>::type Nested;
+ typedef typename Eigen::internal::traits<TensorReductionOp>::StorageKind StorageKind;
+ typedef typename Eigen::internal::traits<TensorReductionOp>::Index Index;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ TensorReductionOp(const XprType& expr, const Dims& dims) : m_expr(expr), m_dims(dims)
+ { }
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ TensorReductionOp(const XprType& expr, const Dims& dims, const Op& reducer) : m_expr(expr), m_dims(dims), m_reducer(reducer)
+ { }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ const XprType& expression() const { return m_expr; }
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ const Dims& dims() const { return m_dims; }
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ const Op& reducer() const { return m_reducer; }
+
+ protected:
+ typename XprType::Nested m_expr;
+ const Dims m_dims;
+ const Op m_reducer;
+};
+
+
+// Eval as rvalue
+template<typename Op, typename Dims, typename ArgType, template <class> class MakePointer_, typename Device>
+struct TensorEvaluator<const TensorReductionOp<Op, Dims, ArgType, MakePointer_>, Device>
+{
+ typedef TensorReductionOp<Op, Dims, ArgType, MakePointer_> XprType;
+ typedef typename XprType::Index Index;
+ typedef ArgType ChildType;
+ typedef typename TensorEvaluator<ArgType, Device>::Dimensions InputDimensions;
+ static const int NumInputDims = internal::array_size<InputDimensions>::value;
+ static const int NumReducedDims = internal::array_size<Dims>::value;
+ static const int NumOutputDims = NumInputDims - NumReducedDims;
+ typedef typename internal::conditional<NumOutputDims==0, Sizes<>, DSizes<Index, NumOutputDims> >::type Dimensions;
+ typedef typename XprType::Scalar Scalar;
+ typedef TensorEvaluator<const TensorReductionOp<Op, Dims, ArgType, MakePointer_>, Device> Self;
+ static const bool InputPacketAccess = TensorEvaluator<ArgType, Device>::PacketAccess;
+ typedef typename internal::remove_const<typename XprType::CoeffReturnType>::type CoeffReturnType;
+ typedef typename PacketType<CoeffReturnType, Device>::type PacketReturnType;
+ static const int PacketSize = internal::unpacket_traits<PacketReturnType>::size;
+
+ enum {
+ IsAligned = false,
+ PacketAccess = Self::InputPacketAccess && Op::PacketAccess,
+ Layout = TensorEvaluator<ArgType, Device>::Layout,
+ CoordAccess = false, // to be implemented
+ RawAccess = false
+ };
+
+ static const bool ReducingInnerMostDims = internal::are_inner_most_dims<Dims, NumInputDims, Layout>::value;
+ static const bool PreservingInnerMostDims = internal::preserve_inner_most_dims<Dims, NumInputDims, Layout>::value;
+ static const bool RunningFullReduction = (NumOutputDims==0);
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorEvaluator(const XprType& op, const Device& device)
+ : m_impl(op.expression(), device), m_reducer(op.reducer()), m_result(NULL), m_device(device), m_xpr_dims(op.dims())
+ {
+ EIGEN_STATIC_ASSERT((NumInputDims >= NumReducedDims), YOU_MADE_A_PROGRAMMING_MISTAKE);
+ EIGEN_STATIC_ASSERT((!ReducingInnerMostDims | !PreservingInnerMostDims | (NumReducedDims == NumInputDims)),
+ YOU_MADE_A_PROGRAMMING_MISTAKE);
+
+ // Build the bitmap indicating if an input dimension is reduced or not.
+ for (int i = 0; i < NumInputDims; ++i) {
+ m_reduced[i] = false;
+ }
+ for (int i = 0; i < NumReducedDims; ++i) {
+ eigen_assert(op.dims()[i] >= 0);
+ eigen_assert(op.dims()[i] < NumInputDims);
+ m_reduced[op.dims()[i]] = true;
+ }
+
+ const typename TensorEvaluator<ArgType, Device>::Dimensions& input_dims = m_impl.dimensions();
+ internal::DimInitializer<Dimensions>::run(input_dims, m_reduced, &m_dimensions, &m_reducedDims);
+
+ // Precompute output strides.
+ if (NumOutputDims > 0) {
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ m_outputStrides[0] = 1;
+ for (int i = 1; i < NumOutputDims; ++i) {
+ m_outputStrides[i] = m_outputStrides[i - 1] * m_dimensions[i - 1];
+ }
+ } else {
+ m_outputStrides.back() = 1;
+ for (int i = NumOutputDims - 2; i >= 0; --i) {
+ m_outputStrides[i] = m_outputStrides[i + 1] * m_dimensions[i + 1];
+ }
+ }
+ }
+
+ // Precompute input strides.
+ if (NumInputDims > 0) {
+ array<Index, NumInputDims> input_strides;
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ input_strides[0] = 1;
+ for (int i = 1; i < NumInputDims; ++i) {
+ input_strides[i] = input_strides[i-1] * input_dims[i-1];
+ }
+ } else {
+ input_strides.back() = 1;
+ for (int i = NumInputDims - 2; i >= 0; --i) {
+ input_strides[i] = input_strides[i + 1] * input_dims[i + 1];
+ }
+ }
+
+ int outputIndex = 0;
+ int reduceIndex = 0;
+ for (int i = 0; i < NumInputDims; ++i) {
+ if (m_reduced[i]) {
+ m_reducedStrides[reduceIndex] = input_strides[i];
+ ++reduceIndex;
+ } else {
+ m_preservedStrides[outputIndex] = input_strides[i];
+ ++outputIndex;
+ }
+ }
+ }
+
+ // Special case for full reductions
+ if (NumOutputDims == 0) {
+ m_preservedStrides[0] = internal::array_prod(input_dims);
+ }
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Dimensions& dimensions() const { return m_dimensions; }
+
+ EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC bool evalSubExprsIfNeeded(typename MakePointer_<CoeffReturnType>::Type data) {
+ m_impl.evalSubExprsIfNeeded(NULL);
+
+ // Use the FullReducer if possible.
+ if ((RunningFullReduction && RunningOnSycl) ||(RunningFullReduction &&
+ internal::FullReducer<Self, Op, Device>::HasOptimizedImplementation &&
+ ((RunningOnGPU && (m_device.majorDeviceVersion() >= 3)) ||
+ !RunningOnGPU))) {
+ bool need_assign = false;
+ if (!data) {
+ m_result = static_cast<CoeffReturnType*>(m_device.allocate(sizeof(CoeffReturnType)));
+ data = m_result;
+ need_assign = true;
+ }
+ Op reducer(m_reducer);
+ internal::FullReducer<Self, Op, Device>::run(*this, reducer, m_device, data);
+ return need_assign;
+ }
+ else if(RunningOnSycl){
+ const Index num_values_to_reduce = internal::array_prod(m_reducedDims);
+ const Index num_coeffs_to_preserve = internal::array_prod(m_dimensions);
+ if (!data) {
+ data = static_cast<CoeffReturnType*>(m_device.allocate(sizeof(CoeffReturnType) * num_coeffs_to_preserve));
+ m_result = data;
+ }
+ Op reducer(m_reducer);
+ internal::InnerReducer<Self, Op, Device>::run(*this, reducer, m_device, data, num_values_to_reduce, num_coeffs_to_preserve);
+ return (m_result != NULL);
+ }
+
+ // Attempt to use an optimized reduction.
+ else if (RunningOnGPU && (m_device.majorDeviceVersion() >= 3)) {
+ bool reducing_inner_dims = true;
+ for (int i = 0; i < NumReducedDims; ++i) {
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ reducing_inner_dims &= m_reduced[i];
+ } else {
+ reducing_inner_dims &= m_reduced[NumInputDims - 1 - i];
+ }
+ }
+ if (internal::InnerReducer<Self, Op, Device>::HasOptimizedImplementation &&
+ (reducing_inner_dims || ReducingInnerMostDims)) {
+ const Index num_values_to_reduce = internal::array_prod(m_reducedDims);
+ const Index num_coeffs_to_preserve = internal::array_prod(m_dimensions);
+ if (!data) {
+ if (num_coeffs_to_preserve < 1024 && num_values_to_reduce > num_coeffs_to_preserve && num_values_to_reduce > 128) {
+ data = static_cast<CoeffReturnType*>(m_device.allocate(sizeof(CoeffReturnType) * num_coeffs_to_preserve));
+ m_result = data;
+ }
+ else {
+ return true;
+ }
+ }
+ Op reducer(m_reducer);
+ if (internal::InnerReducer<Self, Op, Device>::run(*this, reducer, m_device, data, num_values_to_reduce, num_coeffs_to_preserve)) {
+ if (m_result) {
+ m_device.deallocate(m_result);
+ m_result = NULL;
+ }
+ return true;
+ } else {
+ return (m_result != NULL);
+ }
+ }
+
+ bool preserving_inner_dims = true;
+ for (int i = 0; i < NumReducedDims; ++i) {
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ preserving_inner_dims &= m_reduced[NumInputDims - 1 - i];
+ } else {
+ preserving_inner_dims &= m_reduced[i];
+ }
+ }
+ if (internal::OuterReducer<Self, Op, Device>::HasOptimizedImplementation &&
+ preserving_inner_dims) {
+ const Index num_values_to_reduce = internal::array_prod(m_reducedDims);
+ const Index num_coeffs_to_preserve = internal::array_prod(m_dimensions);
+ if (!data) {
+ if (num_coeffs_to_preserve < 1024 && num_values_to_reduce > num_coeffs_to_preserve && num_values_to_reduce > 32) {
+ data = static_cast<CoeffReturnType*>(m_device.allocate(sizeof(CoeffReturnType) * num_coeffs_to_preserve));
+ m_result = data;
+ }
+ else {
+ return true;
+ }
+ }
+ Op reducer(m_reducer);
+ if (internal::OuterReducer<Self, Op, Device>::run(*this, reducer, m_device, data, num_values_to_reduce, num_coeffs_to_preserve)) {
+ if (m_result) {
+ m_device.deallocate(m_result);
+ m_result = NULL;
+ }
+ return true;
+ } else {
+ return (m_result != NULL);
+ }
+ }
+ }
+ return true;
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void cleanup() {
+ m_impl.cleanup();
+ if (m_result) {
+ m_device.deallocate(m_result);
+ m_result = NULL;
+ }
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE CoeffReturnType coeff(Index index) const
+ {
+ if ((RunningOnSycl || RunningFullReduction || RunningOnGPU) && m_result) {
+ return *(m_result + index);
+ }
+ Op reducer(m_reducer);
+ if (ReducingInnerMostDims || RunningFullReduction) {
+ const Index num_values_to_reduce =
+ (static_cast<int>(Layout) == static_cast<int>(ColMajor)) ? m_preservedStrides[0] : m_preservedStrides[NumPreservedStrides - 1];
+ return internal::InnerMostDimReducer<Self, Op>::reduce(*this, firstInput(index),
+ num_values_to_reduce, reducer);
+ } else {
+ typename Self::CoeffReturnType accum = reducer.initialize();
+ internal::GenericDimReducer<NumReducedDims-1, Self, Op>::reduce(*this, firstInput(index), reducer, &accum);
+ return reducer.finalize(accum);
+ }
+ }
+
+ // TODO(bsteiner): provide a more efficient implementation.
+ template<int LoadMode>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE PacketReturnType packet(Index index) const
+ {
+ EIGEN_STATIC_ASSERT((PacketSize > 1), YOU_MADE_A_PROGRAMMING_MISTAKE)
+ eigen_assert(index + PacketSize - 1 < Index(internal::array_prod(dimensions())));
+
+ if (RunningOnGPU && m_result) {
+ return internal::pload<PacketReturnType>(m_result + index);
+ }
+
+ EIGEN_ALIGN_MAX typename internal::remove_const<CoeffReturnType>::type values[PacketSize];
+ if (ReducingInnerMostDims) {
+ const Index num_values_to_reduce =
+ (static_cast<int>(Layout) == static_cast<int>(ColMajor)) ? m_preservedStrides[0] : m_preservedStrides[NumPreservedStrides - 1];
+ const Index firstIndex = firstInput(index);
+ for (Index i = 0; i < PacketSize; ++i) {
+ Op reducer(m_reducer);
+ values[i] = internal::InnerMostDimReducer<Self, Op>::reduce(*this, firstIndex + i * num_values_to_reduce,
+ num_values_to_reduce, reducer);
+ }
+ } else if (PreservingInnerMostDims) {
+ const Index firstIndex = firstInput(index);
+ const int innermost_dim = (static_cast<int>(Layout) == static_cast<int>(ColMajor)) ? 0 : NumOutputDims - 1;
+ // TBD: extend this the the n innermost dimensions that we preserve.
+ if (((firstIndex % m_dimensions[innermost_dim]) + PacketSize - 1) < m_dimensions[innermost_dim]) {
+ Op reducer(m_reducer);
+ typename Self::PacketReturnType accum = reducer.template initializePacket<typename Self::PacketReturnType>();
+ internal::InnerMostDimPreserver<NumReducedDims-1, Self, Op>::reduce(*this, firstIndex, reducer, &accum);
+ return reducer.finalizePacket(accum);
+ } else {
+ for (int i = 0; i < PacketSize; ++i) {
+ values[i] = coeff(index + i);
+ }
+ }
+ } else {
+ for (int i = 0; i < PacketSize; ++i) {
+ values[i] = coeff(index + i);
+ }
+ }
+ PacketReturnType rslt = internal::pload<PacketReturnType>(values);
+ return rslt;
+ }
+
+ // Must be called after evalSubExprsIfNeeded().
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorOpCost costPerCoeff(bool vectorized) const {
+ if (RunningFullReduction && m_result) {
+ return TensorOpCost(sizeof(CoeffReturnType), 0, 0, vectorized, PacketSize);
+ } else {
+ const Index num_values_to_reduce = internal::array_prod(m_reducedDims);
+ const double compute_cost = num_values_to_reduce * internal::functor_traits<Op>::Cost;
+ return m_impl.costPerCoeff(vectorized) * num_values_to_reduce +
+ TensorOpCost(0, 0, compute_cost, vectorized, PacketSize);
+ }
+ }
+
+ EIGEN_DEVICE_FUNC typename MakePointer_<Scalar>::Type data() const { return m_result; }
+ /// required by sycl in order to extract the accessor
+ const TensorEvaluator<ArgType, Device>& impl() const { return m_impl; }
+ /// added for sycl in order to construct the buffer from the sycl device
+ const Device& device() const{return m_device;}
+ /// added for sycl in order to re-construct the reduction eval on the device for the sub-kernel
+ const Dims& xprDims() const {return m_xpr_dims;}
+
+
+ private:
+ template <int, typename, typename> friend struct internal::GenericDimReducer;
+ template <typename, typename, bool> friend struct internal::InnerMostDimReducer;
+ template <int, typename, typename, bool> friend struct internal::InnerMostDimPreserver;
+ template <typename S, typename O, typename D, bool V> friend struct internal::FullReducer;
+#ifdef EIGEN_USE_THREADS
+ template <typename S, typename O, bool V> friend struct internal::FullReducerShard;
+#endif
+#if defined(EIGEN_USE_GPU) && defined(__CUDACC__)
+ template <int B, int N, typename S, typename R, typename I> friend void internal::FullReductionKernel(R, const S, I, typename S::CoeffReturnType*, unsigned int*);
+#ifdef EIGEN_HAS_CUDA_FP16
+ template <typename S, typename R, typename I> friend void internal::ReductionInitFullReduxKernelHalfFloat(R, const S, I, half2*);
+ template <int B, int N, typename S, typename R, typename I> friend void internal::FullReductionKernelHalfFloat(R, const S, I, half*, half2*);
+ template <int NPT, typename S, typename R, typename I> friend void internal::InnerReductionKernelHalfFloat(R, const S, I, I, half*);
+#endif
+ template <int NPT, typename S, typename R, typename I> friend void internal::InnerReductionKernel(R, const S, I, I, typename S::CoeffReturnType*);
+
+ template <int NPT, typename S, typename R, typename I> friend void internal::OuterReductionKernel(R, const S, I, I, typename S::CoeffReturnType*);
+#endif
+
+ template <typename S, typename O, typename D> friend struct internal::InnerReducer;
+
+ // Returns the Index in the input tensor of the first value that needs to be
+ // used to compute the reduction at output index "index".
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index firstInput(Index index) const {
+ if (ReducingInnerMostDims) {
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ return index * m_preservedStrides[0];
+ } else {
+ return index * m_preservedStrides[NumPreservedStrides - 1];
+ }
+ }
+ // TBD: optimize the case where we preserve the innermost dimensions.
+ Index startInput = 0;
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ for (int i = NumOutputDims - 1; i > 0; --i) {
+ // This is index_i in the output tensor.
+ const Index idx = index / m_outputStrides[i];
+ startInput += idx * m_preservedStrides[i];
+ index -= idx * m_outputStrides[i];
+ }
+ if (PreservingInnerMostDims) {
+ eigen_assert(m_preservedStrides[0] == 1);
+ startInput += index;
+ } else {
+ startInput += index * m_preservedStrides[0];
+ }
+ } else {
+ for (int i = 0; i < NumOutputDims - 1; ++i) {
+ // This is index_i in the output tensor.
+ const Index idx = index / m_outputStrides[i];
+ startInput += idx * m_preservedStrides[i];
+ index -= idx * m_outputStrides[i];
+ }
+ if (PreservingInnerMostDims) {
+ eigen_assert(m_preservedStrides[NumPreservedStrides - 1] == 1);
+ startInput += index;
+ } else {
+ startInput += index * m_preservedStrides[NumPreservedStrides - 1];
+ }
+ }
+ return startInput;
+ }
+
+ // Bitmap indicating if an input dimension is reduced or not.
+ array<bool, NumInputDims> m_reduced;
+ // Dimensions of the output of the operation.
+ Dimensions m_dimensions;
+ // Precomputed strides for the output tensor.
+ array<Index, NumOutputDims> m_outputStrides;
+ // Subset of strides of the input tensor for the non-reduced dimensions.
+ // Indexed by output dimensions.
+ static const int NumPreservedStrides = max_n_1<NumOutputDims>::size;
+ array<Index, NumPreservedStrides> m_preservedStrides;
+
+ // Subset of strides of the input tensor for the reduced dimensions.
+ // Indexed by reduced dimensions.
+ array<Index, NumReducedDims> m_reducedStrides;
+ // Size of the input dimensions that are reduced.
+ // Indexed by reduced dimensions.
+ array<Index, NumReducedDims> m_reducedDims;
+
+ // Evaluator for the input expression.
+ TensorEvaluator<ArgType, Device> m_impl;
+
+ // Operation to apply for computing the reduction.
+ Op m_reducer;
+
+ // For full reductions
+#if defined(EIGEN_USE_GPU) && defined(__CUDACC__)
+ static const bool RunningOnGPU = internal::is_same<Device, Eigen::GpuDevice>::value;
+ static const bool RunningOnSycl = false;
+#elif defined(EIGEN_USE_SYCL)
+static const bool RunningOnSycl = internal::is_same<typename internal::remove_all<Device>::type, Eigen::SyclDevice>::value;
+static const bool RunningOnGPU = false;
+#else
+ static const bool RunningOnGPU = false;
+ static const bool RunningOnSycl = false;
+#endif
+ typename MakePointer_<CoeffReturnType>::Type m_result;
+
+ const Device& m_device;
+ const Dims& m_xpr_dims;
+};
+
+} // end namespace Eigen
+
+#endif // EIGEN_CXX11_TENSOR_TENSOR_REDUCTION_H