279 lines
12 KiB
C
279 lines
12 KiB
C
|
// 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());
|
||
|
|
}
|
||
|
|
|
||
|
|
inline Ref(const Ref& other) : Base(other) {
|
||
|
|
// copy constructor shall not copy the m_object, to avoid unnecessary malloc and copy
|
||
|
|
}
|
||
|
|
|
||
|
|
template<typename OtherRef>
|
||
|
|
inline Ref(const RefBase<OtherRef>& other) {
|
||
|
|
construct(other.derived(), typename Traits::template match<OtherRef>::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
|