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authorChunseok Lee <chunseok.lee@samsung.com>2018-05-04 17:57:16 +0900
committerChunseok Lee <chunseok.lee@samsung.com>2018-05-04 17:57:16 +0900
commit07659ccd9fe7b1cf1547cc6cad78bcf489f0a361 (patch)
treecf3a123812b7f1ad8b50d7d0ace891e0c03c6110 /runtimes/nn/depend/external/eigen/Eigen/src/Core/GeneralProduct.h
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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+// 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_GENERAL_PRODUCT_H
+#define EIGEN_GENERAL_PRODUCT_H
+
+namespace Eigen {
+
+enum {
+ Large = 2,
+ Small = 3
+};
+
+namespace internal {
+
+template<int Rows, int Cols, int Depth> struct product_type_selector;
+
+template<int Size, int MaxSize> struct product_size_category
+{
+ enum { is_large = MaxSize == Dynamic ||
+ Size >= EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD ||
+ (Size==Dynamic && MaxSize>=EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD),
+ value = is_large ? Large
+ : Size == 1 ? 1
+ : Small
+ };
+};
+
+template<typename Lhs, typename Rhs> struct product_type
+{
+ typedef typename remove_all<Lhs>::type _Lhs;
+ typedef typename remove_all<Rhs>::type _Rhs;
+ enum {
+ MaxRows = traits<_Lhs>::MaxRowsAtCompileTime,
+ Rows = traits<_Lhs>::RowsAtCompileTime,
+ MaxCols = traits<_Rhs>::MaxColsAtCompileTime,
+ Cols = traits<_Rhs>::ColsAtCompileTime,
+ MaxDepth = EIGEN_SIZE_MIN_PREFER_FIXED(traits<_Lhs>::MaxColsAtCompileTime,
+ traits<_Rhs>::MaxRowsAtCompileTime),
+ Depth = EIGEN_SIZE_MIN_PREFER_FIXED(traits<_Lhs>::ColsAtCompileTime,
+ traits<_Rhs>::RowsAtCompileTime)
+ };
+
+ // the splitting into different lines of code here, introducing the _select enums and the typedef below,
+ // is to work around an internal compiler error with gcc 4.1 and 4.2.
+private:
+ enum {
+ rows_select = product_size_category<Rows,MaxRows>::value,
+ cols_select = product_size_category<Cols,MaxCols>::value,
+ depth_select = product_size_category<Depth,MaxDepth>::value
+ };
+ typedef product_type_selector<rows_select, cols_select, depth_select> selector;
+
+public:
+ enum {
+ value = selector::ret,
+ ret = selector::ret
+ };
+#ifdef EIGEN_DEBUG_PRODUCT
+ static void debug()
+ {
+ EIGEN_DEBUG_VAR(Rows);
+ EIGEN_DEBUG_VAR(Cols);
+ EIGEN_DEBUG_VAR(Depth);
+ EIGEN_DEBUG_VAR(rows_select);
+ EIGEN_DEBUG_VAR(cols_select);
+ EIGEN_DEBUG_VAR(depth_select);
+ EIGEN_DEBUG_VAR(value);
+ }
+#endif
+};
+
+/* The following allows to select the kind of product at compile time
+ * based on the three dimensions of the product.
+ * This is a compile time mapping from {1,Small,Large}^3 -> {product types} */
+// FIXME I'm not sure the current mapping is the ideal one.
+template<int M, int N> struct product_type_selector<M,N,1> { enum { ret = OuterProduct }; };
+template<int M> struct product_type_selector<M, 1, 1> { enum { ret = LazyCoeffBasedProductMode }; };
+template<int N> struct product_type_selector<1, N, 1> { enum { ret = LazyCoeffBasedProductMode }; };
+template<int Depth> struct product_type_selector<1, 1, Depth> { enum { ret = InnerProduct }; };
+template<> struct product_type_selector<1, 1, 1> { enum { ret = InnerProduct }; };
+template<> struct product_type_selector<Small,1, Small> { enum { ret = CoeffBasedProductMode }; };
+template<> struct product_type_selector<1, Small,Small> { enum { ret = CoeffBasedProductMode }; };
+template<> struct product_type_selector<Small,Small,Small> { enum { ret = CoeffBasedProductMode }; };
+template<> struct product_type_selector<Small, Small, 1> { enum { ret = LazyCoeffBasedProductMode }; };
+template<> struct product_type_selector<Small, Large, 1> { enum { ret = LazyCoeffBasedProductMode }; };
+template<> struct product_type_selector<Large, Small, 1> { enum { ret = LazyCoeffBasedProductMode }; };
+template<> struct product_type_selector<1, Large,Small> { enum { ret = CoeffBasedProductMode }; };
+template<> struct product_type_selector<1, Large,Large> { enum { ret = GemvProduct }; };
+template<> struct product_type_selector<1, Small,Large> { enum { ret = CoeffBasedProductMode }; };
+template<> struct product_type_selector<Large,1, Small> { enum { ret = CoeffBasedProductMode }; };
+template<> struct product_type_selector<Large,1, Large> { enum { ret = GemvProduct }; };
+template<> struct product_type_selector<Small,1, Large> { enum { ret = CoeffBasedProductMode }; };
+template<> struct product_type_selector<Small,Small,Large> { enum { ret = GemmProduct }; };
+template<> struct product_type_selector<Large,Small,Large> { enum { ret = GemmProduct }; };
+template<> struct product_type_selector<Small,Large,Large> { enum { ret = GemmProduct }; };
+template<> struct product_type_selector<Large,Large,Large> { enum { ret = GemmProduct }; };
+template<> struct product_type_selector<Large,Small,Small> { enum { ret = CoeffBasedProductMode }; };
+template<> struct product_type_selector<Small,Large,Small> { enum { ret = CoeffBasedProductMode }; };
+template<> struct product_type_selector<Large,Large,Small> { enum { ret = GemmProduct }; };
+
+} // end namespace internal
+
+/***********************************************************************
+* Implementation of Inner Vector Vector Product
+***********************************************************************/
+
+// FIXME : maybe the "inner product" could return a Scalar
+// instead of a 1x1 matrix ??
+// Pro: more natural for the user
+// Cons: this could be a problem if in a meta unrolled algorithm a matrix-matrix
+// product ends up to a row-vector times col-vector product... To tackle this use
+// case, we could have a specialization for Block<MatrixType,1,1> with: operator=(Scalar x);
+
+/***********************************************************************
+* Implementation of Outer Vector Vector Product
+***********************************************************************/
+
+/***********************************************************************
+* Implementation of General Matrix Vector Product
+***********************************************************************/
+
+/* According to the shape/flags of the matrix we have to distinghish 3 different cases:
+ * 1 - the matrix is col-major, BLAS compatible and M is large => call fast BLAS-like colmajor routine
+ * 2 - the matrix is row-major, BLAS compatible and N is large => call fast BLAS-like rowmajor routine
+ * 3 - all other cases are handled using a simple loop along the outer-storage direction.
+ * Therefore we need a lower level meta selector.
+ * Furthermore, if the matrix is the rhs, then the product has to be transposed.
+ */
+namespace internal {
+
+template<int Side, int StorageOrder, bool BlasCompatible>
+struct gemv_dense_selector;
+
+} // end namespace internal
+
+namespace internal {
+
+template<typename Scalar,int Size,int MaxSize,bool Cond> struct gemv_static_vector_if;
+
+template<typename Scalar,int Size,int MaxSize>
+struct gemv_static_vector_if<Scalar,Size,MaxSize,false>
+{
+ EIGEN_STRONG_INLINE Scalar* data() { eigen_internal_assert(false && "should never be called"); return 0; }
+};
+
+template<typename Scalar,int Size>
+struct gemv_static_vector_if<Scalar,Size,Dynamic,true>
+{
+ EIGEN_STRONG_INLINE Scalar* data() { return 0; }
+};
+
+template<typename Scalar,int Size,int MaxSize>
+struct gemv_static_vector_if<Scalar,Size,MaxSize,true>
+{
+ enum {
+ ForceAlignment = internal::packet_traits<Scalar>::Vectorizable,
+ PacketSize = internal::packet_traits<Scalar>::size
+ };
+ #if EIGEN_MAX_STATIC_ALIGN_BYTES!=0
+ internal::plain_array<Scalar,EIGEN_SIZE_MIN_PREFER_FIXED(Size,MaxSize),0,EIGEN_PLAIN_ENUM_MIN(AlignedMax,PacketSize)> m_data;
+ EIGEN_STRONG_INLINE Scalar* data() { return m_data.array; }
+ #else
+ // Some architectures cannot align on the stack,
+ // => let's manually enforce alignment by allocating more data and return the address of the first aligned element.
+ internal::plain_array<Scalar,EIGEN_SIZE_MIN_PREFER_FIXED(Size,MaxSize)+(ForceAlignment?EIGEN_MAX_ALIGN_BYTES:0),0> m_data;
+ EIGEN_STRONG_INLINE Scalar* data() {
+ return ForceAlignment
+ ? reinterpret_cast<Scalar*>((internal::UIntPtr(m_data.array) & ~(std::size_t(EIGEN_MAX_ALIGN_BYTES-1))) + EIGEN_MAX_ALIGN_BYTES)
+ : m_data.array;
+ }
+ #endif
+};
+
+// The vector is on the left => transposition
+template<int StorageOrder, bool BlasCompatible>
+struct gemv_dense_selector<OnTheLeft,StorageOrder,BlasCompatible>
+{
+ template<typename Lhs, typename Rhs, typename Dest>
+ static void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
+ {
+ Transpose<Dest> destT(dest);
+ enum { OtherStorageOrder = StorageOrder == RowMajor ? ColMajor : RowMajor };
+ gemv_dense_selector<OnTheRight,OtherStorageOrder,BlasCompatible>
+ ::run(rhs.transpose(), lhs.transpose(), destT, alpha);
+ }
+};
+
+template<> struct gemv_dense_selector<OnTheRight,ColMajor,true>
+{
+ template<typename Lhs, typename Rhs, typename Dest>
+ static inline void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
+ {
+ typedef typename Lhs::Scalar LhsScalar;
+ typedef typename Rhs::Scalar RhsScalar;
+ typedef typename Dest::Scalar ResScalar;
+ typedef typename Dest::RealScalar RealScalar;
+
+ typedef internal::blas_traits<Lhs> LhsBlasTraits;
+ typedef typename LhsBlasTraits::DirectLinearAccessType ActualLhsType;
+ typedef internal::blas_traits<Rhs> RhsBlasTraits;
+ typedef typename RhsBlasTraits::DirectLinearAccessType ActualRhsType;
+
+ typedef Map<Matrix<ResScalar,Dynamic,1>, EIGEN_PLAIN_ENUM_MIN(AlignedMax,internal::packet_traits<ResScalar>::size)> MappedDest;
+
+ ActualLhsType actualLhs = LhsBlasTraits::extract(lhs);
+ ActualRhsType actualRhs = RhsBlasTraits::extract(rhs);
+
+ ResScalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(lhs)
+ * RhsBlasTraits::extractScalarFactor(rhs);
+
+ // make sure Dest is a compile-time vector type (bug 1166)
+ typedef typename conditional<Dest::IsVectorAtCompileTime, Dest, typename Dest::ColXpr>::type ActualDest;
+
+ enum {
+ // FIXME find a way to allow an inner stride on the result if packet_traits<Scalar>::size==1
+ // on, the other hand it is good for the cache to pack the vector anyways...
+ EvalToDestAtCompileTime = (ActualDest::InnerStrideAtCompileTime==1),
+ ComplexByReal = (NumTraits<LhsScalar>::IsComplex) && (!NumTraits<RhsScalar>::IsComplex),
+ MightCannotUseDest = (!EvalToDestAtCompileTime) || ComplexByReal
+ };
+
+ typedef const_blas_data_mapper<LhsScalar,Index,ColMajor> LhsMapper;
+ typedef const_blas_data_mapper<RhsScalar,Index,RowMajor> RhsMapper;
+ RhsScalar compatibleAlpha = get_factor<ResScalar,RhsScalar>::run(actualAlpha);
+
+ if(!MightCannotUseDest)
+ {
+ // shortcut if we are sure to be able to use dest directly,
+ // this ease the compiler to generate cleaner and more optimzized code for most common cases
+ general_matrix_vector_product
+ <Index,LhsScalar,LhsMapper,ColMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsMapper,RhsBlasTraits::NeedToConjugate>::run(
+ actualLhs.rows(), actualLhs.cols(),
+ LhsMapper(actualLhs.data(), actualLhs.outerStride()),
+ RhsMapper(actualRhs.data(), actualRhs.innerStride()),
+ dest.data(), 1,
+ compatibleAlpha);
+ }
+ else
+ {
+ gemv_static_vector_if<ResScalar,ActualDest::SizeAtCompileTime,ActualDest::MaxSizeAtCompileTime,MightCannotUseDest> static_dest;
+
+ const bool alphaIsCompatible = (!ComplexByReal) || (numext::imag(actualAlpha)==RealScalar(0));
+ const bool evalToDest = EvalToDestAtCompileTime && alphaIsCompatible;
+
+ ei_declare_aligned_stack_constructed_variable(ResScalar,actualDestPtr,dest.size(),
+ evalToDest ? dest.data() : static_dest.data());
+
+ if(!evalToDest)
+ {
+ #ifdef EIGEN_DENSE_STORAGE_CTOR_PLUGIN
+ Index size = dest.size();
+ EIGEN_DENSE_STORAGE_CTOR_PLUGIN
+ #endif
+ if(!alphaIsCompatible)
+ {
+ MappedDest(actualDestPtr, dest.size()).setZero();
+ compatibleAlpha = RhsScalar(1);
+ }
+ else
+ MappedDest(actualDestPtr, dest.size()) = dest;
+ }
+
+ general_matrix_vector_product
+ <Index,LhsScalar,LhsMapper,ColMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsMapper,RhsBlasTraits::NeedToConjugate>::run(
+ actualLhs.rows(), actualLhs.cols(),
+ LhsMapper(actualLhs.data(), actualLhs.outerStride()),
+ RhsMapper(actualRhs.data(), actualRhs.innerStride()),
+ actualDestPtr, 1,
+ compatibleAlpha);
+
+ if (!evalToDest)
+ {
+ if(!alphaIsCompatible)
+ dest.matrix() += actualAlpha * MappedDest(actualDestPtr, dest.size());
+ else
+ dest = MappedDest(actualDestPtr, dest.size());
+ }
+ }
+ }
+};
+
+template<> struct gemv_dense_selector<OnTheRight,RowMajor,true>
+{
+ template<typename Lhs, typename Rhs, typename Dest>
+ static void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
+ {
+ typedef typename Lhs::Scalar LhsScalar;
+ typedef typename Rhs::Scalar RhsScalar;
+ typedef typename Dest::Scalar ResScalar;
+
+ typedef internal::blas_traits<Lhs> LhsBlasTraits;
+ typedef typename LhsBlasTraits::DirectLinearAccessType ActualLhsType;
+ typedef internal::blas_traits<Rhs> RhsBlasTraits;
+ typedef typename RhsBlasTraits::DirectLinearAccessType ActualRhsType;
+ typedef typename internal::remove_all<ActualRhsType>::type ActualRhsTypeCleaned;
+
+ typename add_const<ActualLhsType>::type actualLhs = LhsBlasTraits::extract(lhs);
+ typename add_const<ActualRhsType>::type actualRhs = RhsBlasTraits::extract(rhs);
+
+ ResScalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(lhs)
+ * RhsBlasTraits::extractScalarFactor(rhs);
+
+ enum {
+ // FIXME find a way to allow an inner stride on the result if packet_traits<Scalar>::size==1
+ // on, the other hand it is good for the cache to pack the vector anyways...
+ DirectlyUseRhs = ActualRhsTypeCleaned::InnerStrideAtCompileTime==1
+ };
+
+ gemv_static_vector_if<RhsScalar,ActualRhsTypeCleaned::SizeAtCompileTime,ActualRhsTypeCleaned::MaxSizeAtCompileTime,!DirectlyUseRhs> static_rhs;
+
+ ei_declare_aligned_stack_constructed_variable(RhsScalar,actualRhsPtr,actualRhs.size(),
+ DirectlyUseRhs ? const_cast<RhsScalar*>(actualRhs.data()) : static_rhs.data());
+
+ if(!DirectlyUseRhs)
+ {
+ #ifdef EIGEN_DENSE_STORAGE_CTOR_PLUGIN
+ Index size = actualRhs.size();
+ EIGEN_DENSE_STORAGE_CTOR_PLUGIN
+ #endif
+ Map<typename ActualRhsTypeCleaned::PlainObject>(actualRhsPtr, actualRhs.size()) = actualRhs;
+ }
+
+ typedef const_blas_data_mapper<LhsScalar,Index,RowMajor> LhsMapper;
+ typedef const_blas_data_mapper<RhsScalar,Index,ColMajor> RhsMapper;
+ general_matrix_vector_product
+ <Index,LhsScalar,LhsMapper,RowMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsMapper,RhsBlasTraits::NeedToConjugate>::run(
+ actualLhs.rows(), actualLhs.cols(),
+ LhsMapper(actualLhs.data(), actualLhs.outerStride()),
+ RhsMapper(actualRhsPtr, 1),
+ dest.data(), dest.col(0).innerStride(), //NOTE if dest is not a vector at compile-time, then dest.innerStride() might be wrong. (bug 1166)
+ actualAlpha);
+ }
+};
+
+template<> struct gemv_dense_selector<OnTheRight,ColMajor,false>
+{
+ template<typename Lhs, typename Rhs, typename Dest>
+ static void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
+ {
+ EIGEN_STATIC_ASSERT((!nested_eval<Lhs,1>::Evaluate),EIGEN_INTERNAL_COMPILATION_ERROR_OR_YOU_MADE_A_PROGRAMMING_MISTAKE);
+ // TODO if rhs is large enough it might be beneficial to make sure that dest is sequentially stored in memory, otherwise use a temp
+ typename nested_eval<Rhs,1>::type actual_rhs(rhs);
+ const Index size = rhs.rows();
+ for(Index k=0; k<size; ++k)
+ dest += (alpha*actual_rhs.coeff(k)) * lhs.col(k);
+ }
+};
+
+template<> struct gemv_dense_selector<OnTheRight,RowMajor,false>
+{
+ template<typename Lhs, typename Rhs, typename Dest>
+ static void run(const Lhs &lhs, const Rhs &rhs, Dest& dest, const typename Dest::Scalar& alpha)
+ {
+ EIGEN_STATIC_ASSERT((!nested_eval<Lhs,1>::Evaluate),EIGEN_INTERNAL_COMPILATION_ERROR_OR_YOU_MADE_A_PROGRAMMING_MISTAKE);
+ typename nested_eval<Rhs,Lhs::RowsAtCompileTime>::type actual_rhs(rhs);
+ const Index rows = dest.rows();
+ for(Index i=0; i<rows; ++i)
+ dest.coeffRef(i) += alpha * (lhs.row(i).cwiseProduct(actual_rhs.transpose())).sum();
+ }
+};
+
+} // end namespace internal
+
+/***************************************************************************
+* Implementation of matrix base methods
+***************************************************************************/
+
+/** \returns the matrix product of \c *this and \a other.
+ *
+ * \note If instead of the matrix product you want the coefficient-wise product, see Cwise::operator*().
+ *
+ * \sa lazyProduct(), operator*=(const MatrixBase&), Cwise::operator*()
+ */
+#ifndef __CUDACC__
+
+template<typename Derived>
+template<typename OtherDerived>
+inline const Product<Derived, OtherDerived>
+MatrixBase<Derived>::operator*(const MatrixBase<OtherDerived> &other) const
+{
+ // A note regarding the function declaration: In MSVC, this function will sometimes
+ // not be inlined since DenseStorage is an unwindable object for dynamic
+ // matrices and product types are holding a member to store the result.
+ // Thus it does not help tagging this function with EIGEN_STRONG_INLINE.
+ enum {
+ ProductIsValid = Derived::ColsAtCompileTime==Dynamic
+ || OtherDerived::RowsAtCompileTime==Dynamic
+ || int(Derived::ColsAtCompileTime)==int(OtherDerived::RowsAtCompileTime),
+ AreVectors = Derived::IsVectorAtCompileTime && OtherDerived::IsVectorAtCompileTime,
+ SameSizes = EIGEN_PREDICATE_SAME_MATRIX_SIZE(Derived,OtherDerived)
+ };
+ // note to the lost user:
+ // * for a dot product use: v1.dot(v2)
+ // * for a coeff-wise product use: v1.cwiseProduct(v2)
+ EIGEN_STATIC_ASSERT(ProductIsValid || !(AreVectors && SameSizes),
+ INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS)
+ EIGEN_STATIC_ASSERT(ProductIsValid || !(SameSizes && !AreVectors),
+ INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION)
+ EIGEN_STATIC_ASSERT(ProductIsValid || SameSizes, INVALID_MATRIX_PRODUCT)
+#ifdef EIGEN_DEBUG_PRODUCT
+ internal::product_type<Derived,OtherDerived>::debug();
+#endif
+
+ return Product<Derived, OtherDerived>(derived(), other.derived());
+}
+
+#endif // __CUDACC__
+
+/** \returns an expression of the matrix product of \c *this and \a other without implicit evaluation.
+ *
+ * The returned product will behave like any other expressions: the coefficients of the product will be
+ * computed once at a time as requested. This might be useful in some extremely rare cases when only
+ * a small and no coherent fraction of the result's coefficients have to be computed.
+ *
+ * \warning This version of the matrix product can be much much slower. So use it only if you know
+ * what you are doing and that you measured a true speed improvement.
+ *
+ * \sa operator*(const MatrixBase&)
+ */
+template<typename Derived>
+template<typename OtherDerived>
+const Product<Derived,OtherDerived,LazyProduct>
+MatrixBase<Derived>::lazyProduct(const MatrixBase<OtherDerived> &other) const
+{
+ enum {
+ ProductIsValid = Derived::ColsAtCompileTime==Dynamic
+ || OtherDerived::RowsAtCompileTime==Dynamic
+ || int(Derived::ColsAtCompileTime)==int(OtherDerived::RowsAtCompileTime),
+ AreVectors = Derived::IsVectorAtCompileTime && OtherDerived::IsVectorAtCompileTime,
+ SameSizes = EIGEN_PREDICATE_SAME_MATRIX_SIZE(Derived,OtherDerived)
+ };
+ // note to the lost user:
+ // * for a dot product use: v1.dot(v2)
+ // * for a coeff-wise product use: v1.cwiseProduct(v2)
+ EIGEN_STATIC_ASSERT(ProductIsValid || !(AreVectors && SameSizes),
+ INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS)
+ EIGEN_STATIC_ASSERT(ProductIsValid || !(SameSizes && !AreVectors),
+ INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION)
+ EIGEN_STATIC_ASSERT(ProductIsValid || SameSizes, INVALID_MATRIX_PRODUCT)
+
+ return Product<Derived,OtherDerived,LazyProduct>(derived(), other.derived());
+}
+
+} // end namespace Eigen
+
+#endif // EIGEN_PRODUCT_H