diff options
author | Tamito Kajiyama <rd6t-kjym@asahi-net.or.jp> | 2012-10-20 20:48:48 +0400 |
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committer | Tamito Kajiyama <rd6t-kjym@asahi-net.or.jp> | 2012-10-20 20:48:48 +0400 |
commit | 55015daa43f0ab45341e316abcf11f23c87b5ebe (patch) | |
tree | 3156892b6d807d9ba513d444adb870b0ae358e7a /extern/Eigen3/Eigen/src/Core/Product.h | |
parent | 1fe70c07a008185c4e5925aff2c214c93ff396b7 (diff) | |
parent | a9e2e2279780ec2fb58e6820b9cad95ba03f4cad (diff) |
Merged changes in the trunk up to revision 51448.
Conflicts resolved:
source/blender/blenkernel/CMakeLists.txt
source/blender/blenloader/intern/readfile.c
source/blender/editors/mesh/editmesh_tools.c
source/blender/makesrna/intern/rna_main_api.c
Diffstat (limited to 'extern/Eigen3/Eigen/src/Core/Product.h')
-rw-r--r-- | extern/Eigen3/Eigen/src/Core/Product.h | 643 |
1 files changed, 58 insertions, 585 deletions
diff --git a/extern/Eigen3/Eigen/src/Core/Product.h b/extern/Eigen3/Eigen/src/Core/Product.h index e2035b242b1..30aa8943b4c 100644 --- a/extern/Eigen3/Eigen/src/Core/Product.h +++ b/extern/Eigen3/Eigen/src/Core/Product.h @@ -1,625 +1,98 @@ // 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 Gael Guennebaud <gael.guennebaud@inria.fr> +// Copyright (C) 2008-2011 Gael Guennebaud <gael.guennebaud@inria.fr> // -// Eigen is free software; you can redistribute it and/or -// modify it under the terms of the GNU Lesser General Public -// License as published by the Free Software Foundation; either -// version 3 of the License, or (at your option) any later version. -// -// Alternatively, you can redistribute it and/or -// modify it under the terms of the GNU General Public License as -// published by the Free Software Foundation; either version 2 of -// the License, or (at your option) any later version. -// -// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY -// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS -// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the -// GNU General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public -// License and a copy of the GNU General Public License along with -// Eigen. If not, see <http://www.gnu.org/licenses/>. +// 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 -/** \class GeneralProduct +template<typename Lhs, typename Rhs> class Product; +template<typename Lhs, typename Rhs, typename StorageKind> class ProductImpl; + +/** \class Product * \ingroup Core_Module * - * \brief Expression of the product of two general matrices or vectors + * \brief Expression of the product of two arbitrary matrices or vectors * - * \param LhsNested the type used to store the left-hand side - * \param RhsNested the type used to store the right-hand side - * \param ProductMode the type of the product + * \param Lhs the type of the left-hand side expression + * \param Rhs the type of the right-hand side expression * - * This class represents an expression of the product of two general matrices. - * We call a general matrix, a dense matrix with full storage. For instance, - * This excludes triangular, selfadjoint, and sparse matrices. - * It is the return type of the operator* between general matrices. Its template - * arguments are determined automatically by ProductReturnType. Therefore, - * GeneralProduct should never be used direclty. To determine the result type of a - * function which involves a matrix product, use ProductReturnType::Type. + * This class represents an expression of the product of two arbitrary matrices. * - * \sa ProductReturnType, MatrixBase::operator*(const MatrixBase<OtherDerived>&) */ -template<typename Lhs, typename Rhs, int ProductType = internal::product_type<Lhs,Rhs>::value> -class GeneralProduct; - -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, - 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 = _Lhs::MaxRowsAtCompileTime, - Rows = _Lhs::RowsAtCompileTime, - MaxCols = _Rhs::MaxColsAtCompileTime, - Cols = _Rhs::ColsAtCompileTime, - MaxDepth = EIGEN_SIZE_MIN_PREFER_FIXED(_Lhs::MaxColsAtCompileTime, - _Rhs::MaxRowsAtCompileTime), - Depth = EIGEN_SIZE_MIN_PREFER_FIXED(_Lhs::ColsAtCompileTime, - _Rhs::RowsAtCompileTime), - LargeThreshold = EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD - }; - - // 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: +template<typename Lhs, typename Rhs> +struct traits<Product<Lhs, Rhs> > +{ + typedef MatrixXpr XprKind; + typedef typename remove_all<Lhs>::type LhsCleaned; + typedef typename remove_all<Rhs>::type RhsCleaned; + typedef typename scalar_product_traits<typename traits<LhsCleaned>::Scalar, typename traits<RhsCleaned>::Scalar>::ReturnType Scalar; + typedef typename promote_storage_type<typename traits<LhsCleaned>::StorageKind, + typename traits<RhsCleaned>::StorageKind>::ret StorageKind; + typedef typename promote_index_type<typename traits<LhsCleaned>::Index, + typename traits<RhsCleaned>::Index>::type Index; enum { - value = selector::ret + RowsAtCompileTime = LhsCleaned::RowsAtCompileTime, + ColsAtCompileTime = RhsCleaned::ColsAtCompileTime, + MaxRowsAtCompileTime = LhsCleaned::MaxRowsAtCompileTime, + MaxColsAtCompileTime = RhsCleaned::MaxColsAtCompileTime, + Flags = (MaxRowsAtCompileTime==1 ? RowMajorBit : 0), // TODO should be no storage order + CoeffReadCost = 0 // TODO CoeffReadCost should not be part of the expression traits }; -#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 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 = GemmProduct }; }; -template<> struct product_type_selector<Small,Large,Small> { enum { ret = GemmProduct }; }; -template<> struct product_type_selector<Large,Large,Small> { enum { ret = GemmProduct }; }; - } // end namespace internal -/** \class ProductReturnType - * \ingroup Core_Module - * - * \brief Helper class to get the correct and optimized returned type of operator* - * - * \param Lhs the type of the left-hand side - * \param Rhs the type of the right-hand side - * \param ProductMode the type of the product (determined automatically by internal::product_mode) - * - * This class defines the typename Type representing the optimized product expression - * between two matrix expressions. In practice, using ProductReturnType<Lhs,Rhs>::Type - * is the recommended way to define the result type of a function returning an expression - * which involve a matrix product. The class Product should never be - * used directly. - * - * \sa class Product, MatrixBase::operator*(const MatrixBase<OtherDerived>&) - */ -template<typename Lhs, typename Rhs, int ProductType> -struct ProductReturnType -{ - // TODO use the nested type to reduce instanciations ???? -// typedef typename internal::nested<Lhs,Rhs::ColsAtCompileTime>::type LhsNested; -// typedef typename internal::nested<Rhs,Lhs::RowsAtCompileTime>::type RhsNested; - - typedef GeneralProduct<Lhs/*Nested*/, Rhs/*Nested*/, ProductType> Type; -}; - -template<typename Lhs, typename Rhs> -struct ProductReturnType<Lhs,Rhs,CoeffBasedProductMode> -{ - typedef typename internal::nested<Lhs, Rhs::ColsAtCompileTime, typename internal::plain_matrix_type<Lhs>::type >::type LhsNested; - typedef typename internal::nested<Rhs, Lhs::RowsAtCompileTime, typename internal::plain_matrix_type<Rhs>::type >::type RhsNested; - typedef CoeffBasedProduct<LhsNested, RhsNested, EvalBeforeAssigningBit | EvalBeforeNestingBit> Type; -}; - -template<typename Lhs, typename Rhs> -struct ProductReturnType<Lhs,Rhs,LazyCoeffBasedProductMode> -{ - typedef typename internal::nested<Lhs, Rhs::ColsAtCompileTime, typename internal::plain_matrix_type<Lhs>::type >::type LhsNested; - typedef typename internal::nested<Rhs, Lhs::RowsAtCompileTime, typename internal::plain_matrix_type<Rhs>::type >::type RhsNested; - typedef CoeffBasedProduct<LhsNested, RhsNested, NestByRefBit> Type; -}; - -// this is a workaround for sun CC -template<typename Lhs, typename Rhs> -struct LazyProductReturnType : public ProductReturnType<Lhs,Rhs,LazyCoeffBasedProductMode> -{}; - -/*********************************************************************** -* 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); - -namespace internal { - -template<typename Lhs, typename Rhs> -struct traits<GeneralProduct<Lhs,Rhs,InnerProduct> > - : traits<Matrix<typename scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType,1,1> > -{}; - -} - -template<typename Lhs, typename Rhs> -class GeneralProduct<Lhs, Rhs, InnerProduct> - : internal::no_assignment_operator, - public Matrix<typename internal::scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType,1,1> -{ - typedef Matrix<typename internal::scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType,1,1> Base; - public: - GeneralProduct(const Lhs& lhs, const Rhs& rhs) - { - EIGEN_STATIC_ASSERT((internal::is_same<typename Lhs::RealScalar, typename Rhs::RealScalar>::value), - YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY) - - Base::coeffRef(0,0) = (lhs.transpose().cwiseProduct(rhs)).sum(); - } - - /** Convertion to scalar */ - operator const typename Base::Scalar() const { - return Base::coeff(0,0); - } -}; - -/*********************************************************************** -* Implementation of Outer Vector Vector Product -***********************************************************************/ - -namespace internal { -template<int StorageOrder> struct outer_product_selector; - -template<typename Lhs, typename Rhs> -struct traits<GeneralProduct<Lhs,Rhs,OuterProduct> > - : traits<ProductBase<GeneralProduct<Lhs,Rhs,OuterProduct>, Lhs, Rhs> > -{}; - -} template<typename Lhs, typename Rhs> -class GeneralProduct<Lhs, Rhs, OuterProduct> - : public ProductBase<GeneralProduct<Lhs,Rhs,OuterProduct>, Lhs, Rhs> +class Product : public ProductImpl<Lhs,Rhs,typename internal::promote_storage_type<typename internal::traits<Lhs>::StorageKind, + typename internal::traits<Rhs>::StorageKind>::ret> { public: - EIGEN_PRODUCT_PUBLIC_INTERFACE(GeneralProduct) - - GeneralProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs) + + typedef typename ProductImpl< + Lhs, Rhs, + typename internal::promote_storage_type<typename Lhs::StorageKind, + typename Rhs::StorageKind>::ret>::Base Base; + EIGEN_GENERIC_PUBLIC_INTERFACE(Product) + + typedef typename Lhs::Nested LhsNested; + typedef typename Rhs::Nested RhsNested; + typedef typename internal::remove_all<LhsNested>::type LhsNestedCleaned; + typedef typename internal::remove_all<RhsNested>::type RhsNestedCleaned; + + Product(const Lhs& lhs, const Rhs& rhs) : m_lhs(lhs), m_rhs(rhs) { - EIGEN_STATIC_ASSERT((internal::is_same<typename Lhs::RealScalar, typename Rhs::RealScalar>::value), - YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY) + eigen_assert(lhs.cols() == rhs.rows() + && "invalid matrix product" + && "if you wanted a coeff-wise or a dot product use the respective explicit functions"); } - template<typename Dest> void scaleAndAddTo(Dest& dest, Scalar alpha) const - { - internal::outer_product_selector<(int(Dest::Flags)&RowMajorBit) ? RowMajor : ColMajor>::run(*this, dest, alpha); - } -}; + inline Index rows() const { return m_lhs.rows(); } + inline Index cols() const { return m_rhs.cols(); } -namespace internal { + const LhsNestedCleaned& lhs() const { return m_lhs; } + const RhsNestedCleaned& rhs() const { return m_rhs; } -template<> struct outer_product_selector<ColMajor> { - template<typename ProductType, typename Dest> - static EIGEN_DONT_INLINE void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha) { - typedef typename Dest::Index Index; - // FIXME make sure lhs is sequentially stored - // FIXME not very good if rhs is real and lhs complex while alpha is real too - const Index cols = dest.cols(); - for (Index j=0; j<cols; ++j) - dest.col(j) += (alpha * prod.rhs().coeff(j)) * prod.lhs(); - } -}; + protected: -template<> struct outer_product_selector<RowMajor> { - template<typename ProductType, typename Dest> - static EIGEN_DONT_INLINE void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha) { - typedef typename Dest::Index Index; - // FIXME make sure rhs is sequentially stored - // FIXME not very good if lhs is real and rhs complex while alpha is real too - const Index rows = dest.rows(); - for (Index i=0; i<rows; ++i) - dest.row(i) += (alpha * prod.lhs().coeff(i)) * prod.rhs(); - } + const LhsNested m_lhs; + const RhsNested m_rhs; }; -} // end namespace internal - -/*********************************************************************** -* 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<typename Lhs, typename Rhs> -struct traits<GeneralProduct<Lhs,Rhs,GemvProduct> > - : traits<ProductBase<GeneralProduct<Lhs,Rhs,GemvProduct>, Lhs, Rhs> > -{}; - -template<int Side, int StorageOrder, bool BlasCompatible> -struct gemv_selector; - -} // end namespace internal - template<typename Lhs, typename Rhs> -class GeneralProduct<Lhs, Rhs, GemvProduct> - : public ProductBase<GeneralProduct<Lhs,Rhs,GemvProduct>, Lhs, Rhs> +class ProductImpl<Lhs,Rhs,Dense> : public internal::dense_xpr_base<Product<Lhs,Rhs> >::type { + typedef Product<Lhs, Rhs> Derived; public: - EIGEN_PRODUCT_PUBLIC_INTERFACE(GeneralProduct) - - typedef typename Lhs::Scalar LhsScalar; - typedef typename Rhs::Scalar RhsScalar; - - GeneralProduct(const Lhs& lhs, const Rhs& rhs) : Base(lhs,rhs) - { -// EIGEN_STATIC_ASSERT((internal::is_same<typename Lhs::Scalar, typename Rhs::Scalar>::value), -// YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY) - } - - enum { Side = Lhs::IsVectorAtCompileTime ? OnTheLeft : OnTheRight }; - typedef typename internal::conditional<int(Side)==OnTheRight,_LhsNested,_RhsNested>::type MatrixType; - - template<typename Dest> void scaleAndAddTo(Dest& dst, Scalar alpha) const - { - eigen_assert(m_lhs.rows() == dst.rows() && m_rhs.cols() == dst.cols()); - internal::gemv_selector<Side,(int(MatrixType::Flags)&RowMajorBit) ? RowMajor : ColMajor, - bool(internal::blas_traits<MatrixType>::HasUsableDirectAccess)>::run(*this, dst, alpha); - } -}; - -namespace internal { - -// The vector is on the left => transposition -template<int StorageOrder, bool BlasCompatible> -struct gemv_selector<OnTheLeft,StorageOrder,BlasCompatible> -{ - template<typename ProductType, typename Dest> - static void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha) - { - Transpose<Dest> destT(dest); - enum { OtherStorageOrder = StorageOrder == RowMajor ? ColMajor : RowMajor }; - gemv_selector<OnTheRight,OtherStorageOrder,BlasCompatible> - ::run(GeneralProduct<Transpose<const typename ProductType::_RhsNested>,Transpose<const typename ProductType::_LhsNested>, GemvProduct> - (prod.rhs().transpose(), prod.lhs().transpose()), destT, alpha); - } -}; - -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> -{ - #if EIGEN_ALIGN_STATICALLY - internal::plain_array<Scalar,EIGEN_SIZE_MIN_PREFER_FIXED(Size,MaxSize),0> 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. - enum { - ForceAlignment = internal::packet_traits<Scalar>::Vectorizable, - PacketSize = internal::packet_traits<Scalar>::size - }; - internal::plain_array<Scalar,EIGEN_SIZE_MIN_PREFER_FIXED(Size,MaxSize)+(ForceAlignment?PacketSize:0),0> m_data; - EIGEN_STRONG_INLINE Scalar* data() { - return ForceAlignment - ? reinterpret_cast<Scalar*>((reinterpret_cast<size_t>(m_data.array) & ~(size_t(15))) + 16) - : m_data.array; - } - #endif -}; - -template<> struct gemv_selector<OnTheRight,ColMajor,true> -{ - template<typename ProductType, typename Dest> - static inline void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha) - { - typedef typename ProductType::Index Index; - typedef typename ProductType::LhsScalar LhsScalar; - typedef typename ProductType::RhsScalar RhsScalar; - typedef typename ProductType::Scalar ResScalar; - typedef typename ProductType::RealScalar RealScalar; - typedef typename ProductType::ActualLhsType ActualLhsType; - typedef typename ProductType::ActualRhsType ActualRhsType; - typedef typename ProductType::LhsBlasTraits LhsBlasTraits; - typedef typename ProductType::RhsBlasTraits RhsBlasTraits; - typedef Map<Matrix<ResScalar,Dynamic,1>, Aligned> MappedDest; - - const ActualLhsType actualLhs = LhsBlasTraits::extract(prod.lhs()); - const ActualRhsType actualRhs = RhsBlasTraits::extract(prod.rhs()); - - ResScalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(prod.lhs()) - * RhsBlasTraits::extractScalarFactor(prod.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... - EvalToDestAtCompileTime = Dest::InnerStrideAtCompileTime==1, - ComplexByReal = (NumTraits<LhsScalar>::IsComplex) && (!NumTraits<RhsScalar>::IsComplex), - MightCannotUseDest = (Dest::InnerStrideAtCompileTime!=1) || ComplexByReal - }; - - gemv_static_vector_if<ResScalar,Dest::SizeAtCompileTime,Dest::MaxSizeAtCompileTime,MightCannotUseDest> static_dest; - - // this is written like this (i.e., with a ?:) to workaround an ICE with ICC 12 - bool alphaIsCompatible = (!ComplexByReal) ? true : (imag(actualAlpha)==RealScalar(0)); - bool evalToDest = EvalToDestAtCompileTime && alphaIsCompatible; - - RhsScalar compatibleAlpha = get_factor<ResScalar,RhsScalar>::run(actualAlpha); - - ei_declare_aligned_stack_constructed_variable(ResScalar,actualDestPtr,dest.size(), - evalToDest ? dest.data() : static_dest.data()); - - if(!evalToDest) - { - #ifdef EIGEN_DENSE_STORAGE_CTOR_PLUGIN - int 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,ColMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsBlasTraits::NeedToConjugate>::run( - actualLhs.rows(), actualLhs.cols(), - &actualLhs.coeffRef(0,0), actualLhs.outerStride(), - actualRhs.data(), actualRhs.innerStride(), - actualDestPtr, 1, - compatibleAlpha); - - if (!evalToDest) - { - if(!alphaIsCompatible) - dest += actualAlpha * MappedDest(actualDestPtr, dest.size()); - else - dest = MappedDest(actualDestPtr, dest.size()); - } - } -}; - -template<> struct gemv_selector<OnTheRight,RowMajor,true> -{ - template<typename ProductType, typename Dest> - static void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha) - { - typedef typename ProductType::LhsScalar LhsScalar; - typedef typename ProductType::RhsScalar RhsScalar; - typedef typename ProductType::Scalar ResScalar; - typedef typename ProductType::Index Index; - typedef typename ProductType::ActualLhsType ActualLhsType; - typedef typename ProductType::ActualRhsType ActualRhsType; - typedef typename ProductType::_ActualRhsType _ActualRhsType; - typedef typename ProductType::LhsBlasTraits LhsBlasTraits; - typedef typename ProductType::RhsBlasTraits RhsBlasTraits; - - typename add_const<ActualLhsType>::type actualLhs = LhsBlasTraits::extract(prod.lhs()); - typename add_const<ActualRhsType>::type actualRhs = RhsBlasTraits::extract(prod.rhs()); - - ResScalar actualAlpha = alpha * LhsBlasTraits::extractScalarFactor(prod.lhs()) - * RhsBlasTraits::extractScalarFactor(prod.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 = _ActualRhsType::InnerStrideAtCompileTime==1 - }; - - gemv_static_vector_if<RhsScalar,_ActualRhsType::SizeAtCompileTime,_ActualRhsType::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 - int size = actualRhs.size(); - EIGEN_DENSE_STORAGE_CTOR_PLUGIN - #endif - Map<typename _ActualRhsType::PlainObject>(actualRhsPtr, actualRhs.size()) = actualRhs; - } - - general_matrix_vector_product - <Index,LhsScalar,RowMajor,LhsBlasTraits::NeedToConjugate,RhsScalar,RhsBlasTraits::NeedToConjugate>::run( - actualLhs.rows(), actualLhs.cols(), - &actualLhs.coeffRef(0,0), actualLhs.outerStride(), - actualRhsPtr, 1, - &dest.coeffRef(0,0), dest.innerStride(), - actualAlpha); - } -}; - -template<> struct gemv_selector<OnTheRight,ColMajor,false> -{ - template<typename ProductType, typename Dest> - static void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha) - { - typedef typename Dest::Index Index; - // TODO makes sure dest is sequentially stored in memory, otherwise use a temp - const Index size = prod.rhs().rows(); - for(Index k=0; k<size; ++k) - dest += (alpha*prod.rhs().coeff(k)) * prod.lhs().col(k); - } -}; - -template<> struct gemv_selector<OnTheRight,RowMajor,false> -{ - template<typename ProductType, typename Dest> - static void run(const ProductType& prod, Dest& dest, typename ProductType::Scalar alpha) - { - typedef typename Dest::Index Index; - // TODO makes sure rhs is sequentially stored in memory, otherwise use a temp - const Index rows = prod.rows(); - for(Index i=0; i<rows; ++i) - dest.coeffRef(i) += alpha * (prod.lhs().row(i).cwiseProduct(prod.rhs().transpose())).sum(); - } + typedef typename internal::dense_xpr_base<Product<Lhs, Rhs> >::type Base; + EIGEN_DENSE_PUBLIC_INTERFACE(Derived) }; -} // 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*() - */ -template<typename Derived> -template<typename OtherDerived> -inline const typename ProductReturnType<Derived,OtherDerived>::Type -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 typename ProductReturnType<Derived,OtherDerived>::Type(derived(), other.derived()); -} - -/** \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 typename LazyProductReturnType<Derived,OtherDerived>::Type -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 typename LazyProductReturnType<Derived,OtherDerived>::Type(derived(), other.derived()); -} - #endif // EIGEN_PRODUCT_H |