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-rw-r--r--unsupported/Eigen/src/MatrixFunctions/MatrixPowerBase.h107
1 files changed, 81 insertions, 26 deletions
diff --git a/unsupported/Eigen/src/MatrixFunctions/MatrixPowerBase.h b/unsupported/Eigen/src/MatrixFunctions/MatrixPowerBase.h
index a809609d5..ca5a604fc 100644
--- a/unsupported/Eigen/src/MatrixFunctions/MatrixPowerBase.h
+++ b/unsupported/Eigen/src/MatrixFunctions/MatrixPowerBase.h
@@ -29,30 +29,6 @@ struct recompose_complex_schur<0>
{ res = (U * (T.template triangularView<Upper>() * U.adjoint())).real(); }
};
-template<typename Derived, typename _Lhs, typename _Rhs>
-struct traits<MatrixPowerProductBase<Derived,_Lhs,_Rhs> >
-{
- typedef MatrixXpr XprKind;
- typedef typename remove_all<_Lhs>::type Lhs;
- typedef typename remove_all<_Rhs>::type Rhs;
- typedef typename remove_all<Derived>::type PlainObject;
- typedef typename scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType Scalar;
- typedef typename promote_storage_type<typename traits<Lhs>::StorageKind,
- typename traits<Rhs>::StorageKind>::ret StorageKind;
- typedef typename promote_index_type<typename traits<Lhs>::Index,
- typename traits<Rhs>::Index>::type Index;
-
- enum {
- RowsAtCompileTime = traits<Lhs>::RowsAtCompileTime,
- ColsAtCompileTime = traits<Rhs>::ColsAtCompileTime,
- MaxRowsAtCompileTime = traits<Lhs>::MaxRowsAtCompileTime,
- MaxColsAtCompileTime = traits<Rhs>::MaxColsAtCompileTime,
- Flags = (MaxRowsAtCompileTime==1 ? RowMajorBit : 0)
- | EvalBeforeNestingBit | EvalBeforeAssigningBit | NestByRefBit,
- CoeffReadCost = 0
- };
-};
-
template<typename T>
inline int binary_powering_cost(T p, int* squarings)
{
@@ -121,7 +97,8 @@ inline int matrix_power_get_pade_degree(long double normIminusT)
}
} // namespace internal
-template<typename MatrixType, int UpLo=Upper> class MatrixPowerTriangularAtomic
+template<typename MatrixType, int UpLo=Upper>
+class MatrixPowerTriangularAtomic
{
private:
typedef typename MatrixType::Scalar Scalar;
@@ -239,10 +216,88 @@ void MatrixPowerTriangularAtomic<MatrixType,UpLo>::computeBig(MatrixType& res, R
compute2x2(res, p);
}
+#define EIGEN_MATRIX_POWER_PUBLIC_INTERFACE(Derived) \
+ typedef MatrixPowerBase<Derived<MatrixType>,MatrixType> Base; \
+ using typename Base::Scalar; \
+ using typename Base::RealScalar; \
+ using typename Base::ComplexMatrix; \
+ using typename Base::RealArray;
+
#define EIGEN_MATRIX_POWER_PRODUCT_PUBLIC_INTERFACE(Derived) \
- typedef MatrixPowerProductBase<Derived, Lhs, Rhs > Base; \
+ typedef MatrixPowerProductBase<Derived, Lhs, Rhs> Base; \
EIGEN_DENSE_PUBLIC_INTERFACE(Derived)
+namespace internal {
+template<typename Derived, typename _Lhs, typename _Rhs>
+struct traits<MatrixPowerProductBase<Derived,_Lhs,_Rhs> >
+{
+ typedef MatrixXpr XprKind;
+ typedef typename remove_all<_Lhs>::type Lhs;
+ typedef typename remove_all<_Rhs>::type Rhs;
+ typedef typename remove_all<Derived>::type PlainObject;
+ typedef typename scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType Scalar;
+ typedef typename promote_storage_type<typename traits<Lhs>::StorageKind,
+ typename traits<Rhs>::StorageKind>::ret StorageKind;
+ typedef typename promote_index_type<typename traits<Lhs>::Index,
+ typename traits<Rhs>::Index>::type Index;
+
+ enum {
+ RowsAtCompileTime = traits<Lhs>::RowsAtCompileTime,
+ ColsAtCompileTime = traits<Rhs>::ColsAtCompileTime,
+ MaxRowsAtCompileTime = traits<Lhs>::MaxRowsAtCompileTime,
+ MaxColsAtCompileTime = traits<Rhs>::MaxColsAtCompileTime,
+ Flags = (MaxRowsAtCompileTime==1 ? RowMajorBit : 0)
+ | EvalBeforeNestingBit | EvalBeforeAssigningBit | NestByRefBit,
+ CoeffReadCost = 0
+ };
+};
+} // namespace internal
+
+template<typename Derived, typename MatrixType>
+class MatrixPowerBase
+{
+ protected:
+ static const int Rows = MatrixType::RowsAtCompileTime;
+ static const int Cols = MatrixType::ColsAtCompileTime;
+ static const int Options = MatrixType::Options;
+ static const int MaxRows = MatrixType::MaxRowsAtCompileTime;
+ static const int MaxCols = MatrixType::MaxColsAtCompileTime;
+
+ typedef typename MatrixType::Scalar Scalar;
+ typedef typename MatrixType::RealScalar RealScalar;
+ typedef typename MatrixType::Index Index;
+ typedef Matrix<std::complex<RealScalar>,Rows,Cols,Options,MaxRows,MaxCols> ComplexMatrix;
+ typedef Array<RealScalar,Rows,1,ColMajor,MaxRows> RealArray;
+
+ const MatrixType& m_A;
+ const bool m_del; // whether to delete the pointer at destruction
+
+ public:
+ explicit MatrixPowerBase(const MatrixType& A) :
+ m_A(A),
+ m_del(false)
+ { /* empty body */ }
+
+ template<typename OtherDerived>
+ explicit MatrixPowerBase(const MatrixBase<OtherDerived>& A) :
+ m_A(*new MatrixType(A)),
+ m_del(true)
+ { /* empty body */ }
+
+ ~MatrixPowerBase()
+ { if (m_del) delete &m_A; }
+
+ void compute(MatrixType& res, RealScalar p)
+ { static_cast<Derived*>(this)->compute(res,p); }
+
+ template<typename OtherDerived, typename ResultType>
+ void compute(const OtherDerived& b, ResultType& res, RealScalar p)
+ { static_cast<Derived*>(this)->compute(b,res,p); }
+
+ Index rows() const { return m_A.rows(); }
+ Index cols() const { return m_A.cols(); }
+};
+
template<typename Derived, typename Lhs, typename Rhs>
class MatrixPowerProductBase : public MatrixBase<Derived>
{