// This file is part of Eigen, a lightweight C++ template library // for linear algebra. // // Copyright (C) 2012 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_REF_H #define EIGEN_REF_H namespace Eigen { template<typename Derived> class RefBase; template<typename PlainObjectType, int Options = 0, typename StrideType = typename internal::conditional<PlainObjectType::IsVectorAtCompileTime,InnerStride<1>,OuterStride<> >::type > class Ref; /** \class Ref * \ingroup Core_Module * * \brief A matrix or vector expression mapping an existing expressions * * \tparam PlainObjectType the equivalent matrix type of the mapped data * \tparam Options specifies whether the pointer is \c #Aligned, or \c #Unaligned. * The default is \c #Unaligned. * \tparam StrideType optionally specifies strides. By default, Ref implies a contiguous storage along the inner dimension (inner stride==1), * but accept a variable outer stride (leading dimension). * This can be overridden by specifying strides. * The type passed here must be a specialization of the Stride template, see examples below. * * This class permits to write non template functions taking Eigen's object as parameters while limiting the number of copies. * A Ref<> object can represent either a const expression or a l-value: * \code * // in-out argument: * void foo1(Ref<VectorXf> x); * * // read-only const argument: * void foo2(const Ref<const VectorXf>& x); * \endcode * * In the in-out case, the input argument must satisfies the constraints of the actual Ref<> type, otherwise a compilation issue will be triggered. * By default, a Ref<VectorXf> can reference any dense vector expression of float having a contiguous memory layout. * Likewise, a Ref<MatrixXf> can reference any column major dense matrix expression of float whose column's elements are contiguously stored with * the possibility to have a constant space inbetween each column, i.e.: the inner stride mmust be equal to 1, but the outer-stride (or leading dimension), * can be greater than the number of rows. * * In the const case, if the input expression does not match the above requirement, then it is evaluated into a temporary before being passed to the function. * Here are some examples: * \code * MatrixXf A; * VectorXf a; * foo1(a.head()); // OK * foo1(A.col()); // OK * foo1(A.row()); // compilation error because here innerstride!=1 * foo2(A.row()); // The row is copied into a contiguous temporary * foo2(2*a); // The expression is evaluated into a temporary * foo2(A.col().segment(2,4)); // No temporary * \endcode * * The range of inputs that can be referenced without temporary can be enlarged using the last two template parameter. * Here is an example accepting an innerstride!=1: * \code * // in-out argument: * void foo3(Ref<VectorXf,0,InnerStride<> > x); * foo3(A.row()); // OK * \endcode * The downside here is that the function foo3 might be significantly slower than foo1 because it won't be able to exploit vectorization, and will involved more * expensive address computations even if the input is contiguously stored in memory. To overcome this issue, one might propose to overloads internally calling a * template function, e.g.: * \code * // in the .h: * void foo(const Ref<MatrixXf>& A); * void foo(const Ref<MatrixXf,0,Stride<> >& A); * * // in the .cpp: * template<typename TypeOfA> void foo_impl(const TypeOfA& A) { * ... // crazy code goes here * } * void foo(const Ref<MatrixXf>& A) { foo_impl(A); } * void foo(const Ref<MatrixXf,0,Stride<> >& A) { foo_impl(A); } * \endcode * * * \sa PlainObjectBase::Map(), \ref TopicStorageOrders */ namespace internal { template<typename _PlainObjectType, int _Options, typename _StrideType> struct traits<Ref<_PlainObjectType, _Options, _StrideType> > : public traits<Map<_PlainObjectType, _Options, _StrideType> > { typedef _PlainObjectType PlainObjectType; typedef _StrideType StrideType; enum { Options = _Options, Flags = traits<Map<_PlainObjectType, _Options, _StrideType> >::Flags | NestByRefBit }; template<typename Derived> struct match { enum { HasDirectAccess = internal::has_direct_access<Derived>::ret, StorageOrderMatch = PlainObjectType::IsVectorAtCompileTime || Derived::IsVectorAtCompileTime || ((PlainObjectType::Flags&RowMajorBit)==(Derived::Flags&RowMajorBit)), InnerStrideMatch = int(StrideType::InnerStrideAtCompileTime)==int(Dynamic) || int(StrideType::InnerStrideAtCompileTime)==int(Derived::InnerStrideAtCompileTime) || (int(StrideType::InnerStrideAtCompileTime)==0 && int(Derived::InnerStrideAtCompileTime)==1), OuterStrideMatch = Derived::IsVectorAtCompileTime || int(StrideType::OuterStrideAtCompileTime)==int(Dynamic) || int(StrideType::OuterStrideAtCompileTime)==int(Derived::OuterStrideAtCompileTime), AlignmentMatch = (_Options!=Aligned) || ((PlainObjectType::Flags&AlignedBit)==0) || ((traits<Derived>::Flags&AlignedBit)==AlignedBit), ScalarTypeMatch = internal::is_same<typename PlainObjectType::Scalar, typename Derived::Scalar>::value, MatchAtCompileTime = HasDirectAccess && StorageOrderMatch && InnerStrideMatch && OuterStrideMatch && AlignmentMatch && ScalarTypeMatch }; typedef typename internal::conditional<MatchAtCompileTime,internal::true_type,internal::false_type>::type type; }; }; template<typename Derived> struct traits<RefBase<Derived> > : public traits<Derived> {}; } template<typename Derived> class RefBase : public MapBase<Derived> { typedef typename internal::traits<Derived>::PlainObjectType PlainObjectType; typedef typename internal::traits<Derived>::StrideType StrideType; public: typedef MapBase<Derived> Base; EIGEN_DENSE_PUBLIC_INTERFACE(RefBase) inline Index innerStride() const { return StrideType::InnerStrideAtCompileTime != 0 ? m_stride.inner() : 1; } inline Index outerStride() const { return StrideType::OuterStrideAtCompileTime != 0 ? m_stride.outer() : IsVectorAtCompileTime ? this->size() : int(Flags)&RowMajorBit ? this->cols() : this->rows(); } RefBase() : Base(0,RowsAtCompileTime==Dynamic?0:RowsAtCompileTime,ColsAtCompileTime==Dynamic?0:ColsAtCompileTime), // Stride<> does not allow default ctor for Dynamic strides, so let' initialize it with dummy values: m_stride(StrideType::OuterStrideAtCompileTime==Dynamic?0:StrideType::OuterStrideAtCompileTime, StrideType::InnerStrideAtCompileTime==Dynamic?0:StrideType::InnerStrideAtCompileTime) {} EIGEN_INHERIT_ASSIGNMENT_OPERATORS(RefBase) protected: typedef Stride<StrideType::OuterStrideAtCompileTime,StrideType::InnerStrideAtCompileTime> StrideBase; template<typename Expression> void construct(Expression& expr) { if(PlainObjectType::RowsAtCompileTime==1) { eigen_assert(expr.rows()==1 || expr.cols()==1); ::new (static_cast<Base*>(this)) Base(expr.data(), 1, expr.size()); } else if(PlainObjectType::ColsAtCompileTime==1) { eigen_assert(expr.rows()==1 || expr.cols()==1); ::new (static_cast<Base*>(this)) Base(expr.data(), expr.size(), 1); } else ::new (static_cast<Base*>(this)) Base(expr.data(), expr.rows(), expr.cols()); if(Expression::IsVectorAtCompileTime && (!PlainObjectType::IsVectorAtCompileTime) && ((Expression::Flags&RowMajorBit)!=(PlainObjectType::Flags&RowMajorBit))) ::new (&m_stride) StrideBase(expr.innerStride(), StrideType::InnerStrideAtCompileTime==0?0:1); else ::new (&m_stride) StrideBase(StrideType::OuterStrideAtCompileTime==0?0:expr.outerStride(), StrideType::InnerStrideAtCompileTime==0?0:expr.innerStride()); } StrideBase m_stride; }; template<typename PlainObjectType, int Options, typename StrideType> class Ref : public RefBase<Ref<PlainObjectType, Options, StrideType> > { private: typedef internal::traits<Ref> Traits; template<typename Derived> inline Ref(const PlainObjectBase<Derived>& expr, typename internal::enable_if<bool(Traits::template match<Derived>::MatchAtCompileTime),Derived>::type* = 0); public: typedef RefBase<Ref> Base; EIGEN_DENSE_PUBLIC_INTERFACE(Ref) #ifndef EIGEN_PARSED_BY_DOXYGEN template<typename Derived> inline Ref(PlainObjectBase<Derived>& expr, typename internal::enable_if<bool(Traits::template match<Derived>::MatchAtCompileTime),Derived>::type* = 0) { EIGEN_STATIC_ASSERT(static_cast<bool>(Traits::template match<Derived>::MatchAtCompileTime), STORAGE_LAYOUT_DOES_NOT_MATCH); Base::construct(expr.derived()); } template<typename Derived> inline Ref(const DenseBase<Derived>& expr, typename internal::enable_if<bool(Traits::template match<Derived>::MatchAtCompileTime),Derived>::type* = 0) #else template<typename Derived> inline Ref(DenseBase<Derived>& expr) #endif { EIGEN_STATIC_ASSERT(static_cast<bool>(internal::is_lvalue<Derived>::value), THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY); EIGEN_STATIC_ASSERT(static_cast<bool>(Traits::template match<Derived>::MatchAtCompileTime), STORAGE_LAYOUT_DOES_NOT_MATCH); enum { THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY = Derived::ThisConstantIsPrivateInPlainObjectBase}; Base::construct(expr.const_cast_derived()); } EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Ref) }; // this is the const ref version template<typename TPlainObjectType, int Options, typename StrideType> class Ref<const TPlainObjectType, Options, StrideType> : public RefBase<Ref<const TPlainObjectType, Options, StrideType> > { typedef internal::traits<Ref> Traits; public: typedef RefBase<Ref> Base; EIGEN_DENSE_PUBLIC_INTERFACE(Ref) template<typename Derived> inline Ref(const DenseBase<Derived>& expr, typename internal::enable_if<bool(Traits::template match<Derived>::ScalarTypeMatch),Derived>::type* = 0) { // std::cout << match_helper<Derived>::HasDirectAccess << "," << match_helper<Derived>::OuterStrideMatch << "," << match_helper<Derived>::InnerStrideMatch << "\n"; // std::cout << int(StrideType::OuterStrideAtCompileTime) << " - " << int(Derived::OuterStrideAtCompileTime) << "\n"; // std::cout << int(StrideType::InnerStrideAtCompileTime) << " - " << int(Derived::InnerStrideAtCompileTime) << "\n"; construct(expr.derived(), typename Traits::template match<Derived>::type()); } protected: template<typename Expression> void construct(const Expression& expr,internal::true_type) { Base::construct(expr); } template<typename Expression> void construct(const Expression& expr, internal::false_type) { m_object.lazyAssign(expr); Base::construct(m_object); } protected: TPlainObjectType m_object; }; } // end namespace Eigen #endif // EIGEN_REF_H