1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This file is part of Eigen, a lightweight C++ template library 2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// for linear algebra. 3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr> 5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This Source Code Form is subject to the terms of the Mozilla 7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Public License v. 2.0. If a copy of the MPL was not distributed 8c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 9c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 10c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifndef EIGEN_PRODUCTBASE_H 11c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EIGEN_PRODUCTBASE_H 12c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 13c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace Eigen { 14c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 15c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \class ProductBase 16c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \ingroup Core_Module 17c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 18c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 19c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 20c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace internal { 21c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived, typename _Lhs, typename _Rhs> 22c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct traits<ProductBase<Derived,_Lhs,_Rhs> > 23c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 24c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef MatrixXpr XprKind; 25c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename remove_all<_Lhs>::type Lhs; 26c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename remove_all<_Rhs>::type Rhs; 27c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType Scalar; 28c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename promote_storage_type<typename traits<Lhs>::StorageKind, 29c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename traits<Rhs>::StorageKind>::ret StorageKind; 30c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename promote_index_type<typename traits<Lhs>::Index, 31c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename traits<Rhs>::Index>::type Index; 32c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { 33c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath RowsAtCompileTime = traits<Lhs>::RowsAtCompileTime, 34c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ColsAtCompileTime = traits<Rhs>::ColsAtCompileTime, 35c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxRowsAtCompileTime = traits<Lhs>::MaxRowsAtCompileTime, 36c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxColsAtCompileTime = traits<Rhs>::MaxColsAtCompileTime, 37c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Flags = (MaxRowsAtCompileTime==1 ? RowMajorBit : 0) 38c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath | EvalBeforeNestingBit | EvalBeforeAssigningBit | NestByRefBit, 39c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // Note that EvalBeforeNestingBit and NestByRefBit 40c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // are not used in practice because nested is overloaded for products 41c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CoeffReadCost = 0 // FIXME why is it needed ? 42c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 43c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 44c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 45c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 46c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EIGEN_PRODUCT_PUBLIC_INTERFACE(Derived) \ 47c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef ProductBase<Derived, Lhs, Rhs > Base; \ 48c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_DENSE_PUBLIC_INTERFACE(Derived) \ 49c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::LhsNested LhsNested; \ 50c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::_LhsNested _LhsNested; \ 51c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::LhsBlasTraits LhsBlasTraits; \ 52c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::ActualLhsType ActualLhsType; \ 53c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::_ActualLhsType _ActualLhsType; \ 54c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::RhsNested RhsNested; \ 55c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::_RhsNested _RhsNested; \ 56c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::RhsBlasTraits RhsBlasTraits; \ 57c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::ActualRhsType ActualRhsType; \ 58c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::_ActualRhsType _ActualRhsType; \ 59c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath using Base::m_lhs; \ 60c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath using Base::m_rhs; 61c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 62c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived, typename Lhs, typename Rhs> 63c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathclass ProductBase : public MatrixBase<Derived> 64c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 65c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath public: 66c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef MatrixBase<Derived> Base; 67c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_DENSE_PUBLIC_INTERFACE(ProductBase) 68c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 69c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Lhs::Nested LhsNested; 70c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::remove_all<LhsNested>::type _LhsNested; 71c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef internal::blas_traits<_LhsNested> LhsBlasTraits; 72c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename LhsBlasTraits::DirectLinearAccessType ActualLhsType; 73c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::remove_all<ActualLhsType>::type _ActualLhsType; 74c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::traits<Lhs>::Scalar LhsScalar; 75c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 76c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Rhs::Nested RhsNested; 77c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::remove_all<RhsNested>::type _RhsNested; 78c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef internal::blas_traits<_RhsNested> RhsBlasTraits; 79c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename RhsBlasTraits::DirectLinearAccessType ActualRhsType; 80c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::remove_all<ActualRhsType>::type _ActualRhsType; 81c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::traits<Rhs>::Scalar RhsScalar; 82c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 83c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // Diagonal of a product: no need to evaluate the arguments because they are going to be evaluated only once 84c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef CoeffBasedProduct<LhsNested, RhsNested, 0> FullyLazyCoeffBaseProductType; 85c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 86c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath public: 87c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 88c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::PlainObject PlainObject; 89c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 90c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ProductBase(const Lhs& lhs, const Rhs& rhs) 91c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : m_lhs(lhs), m_rhs(rhs) 92c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 93c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath eigen_assert(lhs.cols() == rhs.rows() 94c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath && "invalid matrix product" 95c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath && "if you wanted a coeff-wise or a dot product use the respective explicit functions"); 96c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 97c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 98c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline Index rows() const { return m_lhs.rows(); } 99c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline Index cols() const { return m_rhs.cols(); } 100c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 101c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<typename Dest> 102c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline void evalTo(Dest& dst) const { dst.setZero(); scaleAndAddTo(dst,Scalar(1)); } 103c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 104c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<typename Dest> 105c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline void addTo(Dest& dst) const { scaleAndAddTo(dst,Scalar(1)); } 106c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 107c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<typename Dest> 108c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline void subTo(Dest& dst) const { scaleAndAddTo(dst,Scalar(-1)); } 109c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 110c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<typename Dest> 111c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline void scaleAndAddTo(Dest& dst,Scalar alpha) const { derived().scaleAndAddTo(dst,alpha); } 112c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 113c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const _LhsNested& lhs() const { return m_lhs; } 114c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const _RhsNested& rhs() const { return m_rhs; } 115c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 116c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // Implicit conversion to the nested type (trigger the evaluation of the product) 117c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath operator const PlainObject& () const 118c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 119c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath m_result.resize(m_lhs.rows(), m_rhs.cols()); 120c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath derived().evalTo(m_result); 121c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m_result; 122c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 123c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 124c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const Diagonal<const FullyLazyCoeffBaseProductType,0> diagonal() const 125c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { return FullyLazyCoeffBaseProductType(m_lhs, m_rhs); } 126c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 127c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<int Index> 128c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const Diagonal<FullyLazyCoeffBaseProductType,Index> diagonal() const 129c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { return FullyLazyCoeffBaseProductType(m_lhs, m_rhs); } 130c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 131c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const Diagonal<FullyLazyCoeffBaseProductType,Dynamic> diagonal(Index index) const 132c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { return FullyLazyCoeffBaseProductType(m_lhs, m_rhs).diagonal(index); } 133c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 134c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // restrict coeff accessors to 1x1 expressions. No need to care about mutators here since this isnt a Lvalue expression 135c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename Base::CoeffReturnType coeff(Index row, Index col) const 136c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 137c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifdef EIGEN2_SUPPORT 138c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return lhs().row(row).cwiseProduct(rhs().col(col).transpose()).sum(); 139c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#else 140c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STATIC_ASSERT_SIZE_1x1(Derived) 141c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath eigen_assert(this->rows() == 1 && this->cols() == 1); 142c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Matrix<Scalar,1,1> result = *this; 143c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return result.coeff(row,col); 144c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif 145c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 146c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 147c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename Base::CoeffReturnType coeff(Index i) const 148c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 149c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STATIC_ASSERT_SIZE_1x1(Derived) 150c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath eigen_assert(this->rows() == 1 && this->cols() == 1); 151c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Matrix<Scalar,1,1> result = *this; 152c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return result.coeff(i); 153c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 154c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 155c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const Scalar& coeffRef(Index row, Index col) const 156c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 157c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STATIC_ASSERT_SIZE_1x1(Derived) 158c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath eigen_assert(this->rows() == 1 && this->cols() == 1); 159c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return derived().coeffRef(row,col); 160c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 161c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 162c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const Scalar& coeffRef(Index i) const 163c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 164c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STATIC_ASSERT_SIZE_1x1(Derived) 165c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath eigen_assert(this->rows() == 1 && this->cols() == 1); 166c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return derived().coeffRef(i); 167c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 168c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 169c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath protected: 170c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 171c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath LhsNested m_lhs; 172c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath RhsNested m_rhs; 173c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 174c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath mutable PlainObject m_result; 175c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 176c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 177c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// here we need to overload the nested rule for products 178c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// such that the nested type is a const reference to a plain matrix 179c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace internal { 180c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Lhs, typename Rhs, int Mode, int N, typename PlainObject> 181c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct nested<GeneralProduct<Lhs,Rhs,Mode>, N, PlainObject> 182c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 183c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef PlainObject const& type; 184c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 185c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 186c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 187c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename NestedProduct> 188c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathclass ScaledProduct; 189c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 190c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Note that these two operator* functions are not defined as member 191c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// functions of ProductBase, because, otherwise we would have to 192c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// define all overloads defined in MatrixBase. Furthermore, Using 193c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// "using Base::operator*" would not work with MSVC. 194c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 195c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Also note that here we accept any compatible scalar types 196c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived,typename Lhs,typename Rhs> 197c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathconst ScaledProduct<Derived> 198c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathoperator*(const ProductBase<Derived,Lhs,Rhs>& prod, typename Derived::Scalar x) 199c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return ScaledProduct<Derived>(prod.derived(), x); } 200c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 201c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived,typename Lhs,typename Rhs> 202c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtypename internal::enable_if<!internal::is_same<typename Derived::Scalar,typename Derived::RealScalar>::value, 203c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const ScaledProduct<Derived> >::type 204c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathoperator*(const ProductBase<Derived,Lhs,Rhs>& prod, typename Derived::RealScalar x) 205c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return ScaledProduct<Derived>(prod.derived(), x); } 206c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 207c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 208c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived,typename Lhs,typename Rhs> 209c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathconst ScaledProduct<Derived> 210c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathoperator*(typename Derived::Scalar x,const ProductBase<Derived,Lhs,Rhs>& prod) 211c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return ScaledProduct<Derived>(prod.derived(), x); } 212c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 213c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived,typename Lhs,typename Rhs> 214c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtypename internal::enable_if<!internal::is_same<typename Derived::Scalar,typename Derived::RealScalar>::value, 215c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const ScaledProduct<Derived> >::type 216c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathoperator*(typename Derived::RealScalar x,const ProductBase<Derived,Lhs,Rhs>& prod) 217c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ return ScaledProduct<Derived>(prod.derived(), x); } 218c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 219c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace internal { 220c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename NestedProduct> 221c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct traits<ScaledProduct<NestedProduct> > 222c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : traits<ProductBase<ScaledProduct<NestedProduct>, 223c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename NestedProduct::_LhsNested, 224c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename NestedProduct::_RhsNested> > 225c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 226c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename traits<NestedProduct>::StorageKind StorageKind; 227c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 228c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 229c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 230c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename NestedProduct> 231c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathclass ScaledProduct 232c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : public ProductBase<ScaledProduct<NestedProduct>, 233c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename NestedProduct::_LhsNested, 234c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename NestedProduct::_RhsNested> 235c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 236c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath public: 237c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef ProductBase<ScaledProduct<NestedProduct>, 238c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename NestedProduct::_LhsNested, 239c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename NestedProduct::_RhsNested> Base; 240c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::Scalar Scalar; 241c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename Base::PlainObject PlainObject; 242c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// EIGEN_PRODUCT_PUBLIC_INTERFACE(ScaledProduct) 243c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 244c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ScaledProduct(const NestedProduct& prod, Scalar x) 245c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : Base(prod.lhs(),prod.rhs()), m_prod(prod), m_alpha(x) {} 246c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 247c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<typename Dest> 248c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline void evalTo(Dest& dst) const { dst.setZero(); scaleAndAddTo(dst, Scalar(1)); } 249c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 250c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<typename Dest> 251c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline void addTo(Dest& dst) const { scaleAndAddTo(dst, Scalar(1)); } 252c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 253c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<typename Dest> 254c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline void subTo(Dest& dst) const { scaleAndAddTo(dst, Scalar(-1)); } 255c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 256c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<typename Dest> 257c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline void scaleAndAddTo(Dest& dst,Scalar alpha) const { m_prod.derived().scaleAndAddTo(dst,alpha * m_alpha); } 258c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 259c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const Scalar& alpha() const { return m_alpha; } 260c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 261c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath protected: 262c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const NestedProduct& m_prod; 263c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Scalar m_alpha; 264c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 265c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 266c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal 267c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Overloaded to perform an efficient C = (A*B).lazy() */ 268c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 269c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename ProductDerived, typename Lhs, typename Rhs> 270c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathDerived& MatrixBase<Derived>::lazyAssign(const ProductBase<ProductDerived, Lhs,Rhs>& other) 271c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 272c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath other.derived().evalTo(derived()); 273c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return derived(); 274c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 275c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 276c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} // end namespace Eigen 277c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 278c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif // EIGEN_PRODUCTBASE_H 279