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diff --git a/runtimes/nn/depend/external/eigen/Eigen/src/Core/Product.h b/runtimes/nn/depend/external/eigen/Eigen/src/Core/Product.h
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+++ b/runtimes/nn/depend/external/eigen/Eigen/src/Core/Product.h
@@ -0,0 +1,186 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2011 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// 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_PRODUCT_H
+#define EIGEN_PRODUCT_H
+
+namespace Eigen {
+
+template<typename Lhs, typename Rhs, int Option, typename StorageKind> class ProductImpl;
+
+namespace internal {
+
+template<typename Lhs, typename Rhs, int Option>
+struct traits<Product<Lhs, Rhs, Option> >
+{
+ typedef typename remove_all<Lhs>::type LhsCleaned;
+ typedef typename remove_all<Rhs>::type RhsCleaned;
+ typedef traits<LhsCleaned> LhsTraits;
+ typedef traits<RhsCleaned> RhsTraits;
+
+ typedef MatrixXpr XprKind;
+
+ typedef typename ScalarBinaryOpTraits<typename traits<LhsCleaned>::Scalar, typename traits<RhsCleaned>::Scalar>::ReturnType Scalar;
+ typedef typename product_promote_storage_type<typename LhsTraits::StorageKind,
+ typename RhsTraits::StorageKind,
+ internal::product_type<Lhs,Rhs>::ret>::ret StorageKind;
+ typedef typename promote_index_type<typename LhsTraits::StorageIndex,
+ typename RhsTraits::StorageIndex>::type StorageIndex;
+
+ enum {
+ RowsAtCompileTime = LhsTraits::RowsAtCompileTime,
+ ColsAtCompileTime = RhsTraits::ColsAtCompileTime,
+ MaxRowsAtCompileTime = LhsTraits::MaxRowsAtCompileTime,
+ MaxColsAtCompileTime = RhsTraits::MaxColsAtCompileTime,
+
+ // FIXME: only needed by GeneralMatrixMatrixTriangular
+ InnerSize = EIGEN_SIZE_MIN_PREFER_FIXED(LhsTraits::ColsAtCompileTime, RhsTraits::RowsAtCompileTime),
+
+ // The storage order is somewhat arbitrary here. The correct one will be determined through the evaluator.
+ Flags = (MaxRowsAtCompileTime==1 && MaxColsAtCompileTime!=1) ? RowMajorBit
+ : (MaxColsAtCompileTime==1 && MaxRowsAtCompileTime!=1) ? 0
+ : ( ((LhsTraits::Flags&NoPreferredStorageOrderBit) && (RhsTraits::Flags&RowMajorBit))
+ || ((RhsTraits::Flags&NoPreferredStorageOrderBit) && (LhsTraits::Flags&RowMajorBit)) ) ? RowMajorBit
+ : NoPreferredStorageOrderBit
+ };
+};
+
+} // end namespace internal
+
+/** \class Product
+ * \ingroup Core_Module
+ *
+ * \brief Expression of the product of two arbitrary matrices or vectors
+ *
+ * \tparam _Lhs the type of the left-hand side expression
+ * \tparam _Rhs the type of the right-hand side expression
+ *
+ * This class represents an expression of the product of two arbitrary matrices.
+ *
+ * The other template parameters are:
+ * \tparam Option can be DefaultProduct, AliasFreeProduct, or LazyProduct
+ *
+ */
+template<typename _Lhs, typename _Rhs, int Option>
+class Product : public ProductImpl<_Lhs,_Rhs,Option,
+ typename internal::product_promote_storage_type<typename internal::traits<_Lhs>::StorageKind,
+ typename internal::traits<_Rhs>::StorageKind,
+ internal::product_type<_Lhs,_Rhs>::ret>::ret>
+{
+ public:
+
+ typedef _Lhs Lhs;
+ typedef _Rhs Rhs;
+
+ typedef typename ProductImpl<
+ Lhs, Rhs, Option,
+ typename internal::product_promote_storage_type<typename internal::traits<Lhs>::StorageKind,
+ typename internal::traits<Rhs>::StorageKind,
+ internal::product_type<Lhs,Rhs>::ret>::ret>::Base Base;
+ EIGEN_GENERIC_PUBLIC_INTERFACE(Product)
+
+ typedef typename internal::ref_selector<Lhs>::type LhsNested;
+ typedef typename internal::ref_selector<Rhs>::type RhsNested;
+ typedef typename internal::remove_all<LhsNested>::type LhsNestedCleaned;
+ typedef typename internal::remove_all<RhsNested>::type RhsNestedCleaned;
+
+ EIGEN_DEVICE_FUNC Product(const Lhs& lhs, const Rhs& rhs) : m_lhs(lhs), m_rhs(rhs)
+ {
+ eigen_assert(lhs.cols() == rhs.rows()
+ && "invalid matrix product"
+ && "if you wanted a coeff-wise or a dot product use the respective explicit functions");
+ }
+
+ EIGEN_DEVICE_FUNC inline Index rows() const { return m_lhs.rows(); }
+ EIGEN_DEVICE_FUNC inline Index cols() const { return m_rhs.cols(); }
+
+ EIGEN_DEVICE_FUNC const LhsNestedCleaned& lhs() const { return m_lhs; }
+ EIGEN_DEVICE_FUNC const RhsNestedCleaned& rhs() const { return m_rhs; }
+
+ protected:
+
+ LhsNested m_lhs;
+ RhsNested m_rhs;
+};
+
+namespace internal {
+
+template<typename Lhs, typename Rhs, int Option, int ProductTag = internal::product_type<Lhs,Rhs>::ret>
+class dense_product_base
+ : public internal::dense_xpr_base<Product<Lhs,Rhs,Option> >::type
+{};
+
+/** Convertion to scalar for inner-products */
+template<typename Lhs, typename Rhs, int Option>
+class dense_product_base<Lhs, Rhs, Option, InnerProduct>
+ : public internal::dense_xpr_base<Product<Lhs,Rhs,Option> >::type
+{
+ typedef Product<Lhs,Rhs,Option> ProductXpr;
+ typedef typename internal::dense_xpr_base<ProductXpr>::type Base;
+public:
+ using Base::derived;
+ typedef typename Base::Scalar Scalar;
+
+ operator const Scalar() const
+ {
+ return internal::evaluator<ProductXpr>(derived()).coeff(0,0);
+ }
+};
+
+} // namespace internal
+
+// Generic API dispatcher
+template<typename Lhs, typename Rhs, int Option, typename StorageKind>
+class ProductImpl : public internal::generic_xpr_base<Product<Lhs,Rhs,Option>, MatrixXpr, StorageKind>::type
+{
+ public:
+ typedef typename internal::generic_xpr_base<Product<Lhs,Rhs,Option>, MatrixXpr, StorageKind>::type Base;
+};
+
+template<typename Lhs, typename Rhs, int Option>
+class ProductImpl<Lhs,Rhs,Option,Dense>
+ : public internal::dense_product_base<Lhs,Rhs,Option>
+{
+ typedef Product<Lhs, Rhs, Option> Derived;
+
+ public:
+
+ typedef typename internal::dense_product_base<Lhs, Rhs, Option> Base;
+ EIGEN_DENSE_PUBLIC_INTERFACE(Derived)
+ protected:
+ enum {
+ IsOneByOne = (RowsAtCompileTime == 1 || RowsAtCompileTime == Dynamic) &&
+ (ColsAtCompileTime == 1 || ColsAtCompileTime == Dynamic),
+ EnableCoeff = IsOneByOne || Option==LazyProduct
+ };
+
+ public:
+
+ EIGEN_DEVICE_FUNC Scalar coeff(Index row, Index col) const
+ {
+ EIGEN_STATIC_ASSERT(EnableCoeff, THIS_METHOD_IS_ONLY_FOR_INNER_OR_LAZY_PRODUCTS);
+ eigen_assert( (Option==LazyProduct) || (this->rows() == 1 && this->cols() == 1) );
+
+ return internal::evaluator<Derived>(derived()).coeff(row,col);
+ }
+
+ EIGEN_DEVICE_FUNC Scalar coeff(Index i) const
+ {
+ EIGEN_STATIC_ASSERT(EnableCoeff, THIS_METHOD_IS_ONLY_FOR_INNER_OR_LAZY_PRODUCTS);
+ eigen_assert( (Option==LazyProduct) || (this->rows() == 1 && this->cols() == 1) );
+
+ return internal::evaluator<Derived>(derived()).coeff(i);
+ }
+
+
+};
+
+} // end namespace Eigen
+
+#endif // EIGEN_PRODUCT_H