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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2011-2014 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2010 Daniel Lowengrub <lowdanie@gmail.com>
+//
+// 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_SPARSEVIEW_H
+#define EIGEN_SPARSEVIEW_H
+
+namespace Eigen {
+
+namespace internal {
+
+template<typename MatrixType>
+struct traits<SparseView<MatrixType> > : traits<MatrixType>
+{
+ typedef typename MatrixType::StorageIndex StorageIndex;
+ typedef Sparse StorageKind;
+ enum {
+ Flags = int(traits<MatrixType>::Flags) & (RowMajorBit)
+ };
+};
+
+} // end namespace internal
+
+/** \ingroup SparseCore_Module
+ * \class SparseView
+ *
+ * \brief Expression of a dense or sparse matrix with zero or too small values removed
+ *
+ * \tparam MatrixType the type of the object of which we are removing the small entries
+ *
+ * This class represents an expression of a given dense or sparse matrix with
+ * entries smaller than \c reference * \c epsilon are removed.
+ * It is the return type of MatrixBase::sparseView() and SparseMatrixBase::pruned()
+ * and most of the time this is the only way it is used.
+ *
+ * \sa MatrixBase::sparseView(), SparseMatrixBase::pruned()
+ */
+template<typename MatrixType>
+class SparseView : public SparseMatrixBase<SparseView<MatrixType> >
+{
+ typedef typename MatrixType::Nested MatrixTypeNested;
+ typedef typename internal::remove_all<MatrixTypeNested>::type _MatrixTypeNested;
+ typedef SparseMatrixBase<SparseView > Base;
+public:
+ EIGEN_SPARSE_PUBLIC_INTERFACE(SparseView)
+ typedef typename internal::remove_all<MatrixType>::type NestedExpression;
+
+ explicit SparseView(const MatrixType& mat, const Scalar& reference = Scalar(0),
+ const RealScalar &epsilon = NumTraits<Scalar>::dummy_precision())
+ : m_matrix(mat), m_reference(reference), m_epsilon(epsilon) {}
+
+ inline Index rows() const { return m_matrix.rows(); }
+ inline Index cols() const { return m_matrix.cols(); }
+
+ inline Index innerSize() const { return m_matrix.innerSize(); }
+ inline Index outerSize() const { return m_matrix.outerSize(); }
+
+ /** \returns the nested expression */
+ const typename internal::remove_all<MatrixTypeNested>::type&
+ nestedExpression() const { return m_matrix; }
+
+ Scalar reference() const { return m_reference; }
+ RealScalar epsilon() const { return m_epsilon; }
+
+protected:
+ MatrixTypeNested m_matrix;
+ Scalar m_reference;
+ RealScalar m_epsilon;
+};
+
+namespace internal {
+
+// TODO find a way to unify the two following variants
+// This is tricky because implementing an inner iterator on top of an IndexBased evaluator is
+// not easy because the evaluators do not expose the sizes of the underlying expression.
+
+template<typename ArgType>
+struct unary_evaluator<SparseView<ArgType>, IteratorBased>
+ : public evaluator_base<SparseView<ArgType> >
+{
+ typedef typename evaluator<ArgType>::InnerIterator EvalIterator;
+ public:
+ typedef SparseView<ArgType> XprType;
+
+ class InnerIterator : public EvalIterator
+ {
+ typedef typename XprType::Scalar Scalar;
+ public:
+
+ EIGEN_STRONG_INLINE InnerIterator(const unary_evaluator& sve, Index outer)
+ : EvalIterator(sve.m_argImpl,outer), m_view(sve.m_view)
+ {
+ incrementToNonZero();
+ }
+
+ EIGEN_STRONG_INLINE InnerIterator& operator++()
+ {
+ EvalIterator::operator++();
+ incrementToNonZero();
+ return *this;
+ }
+
+ using EvalIterator::value;
+
+ protected:
+ const XprType &m_view;
+
+ private:
+ void incrementToNonZero()
+ {
+ while((bool(*this)) && internal::isMuchSmallerThan(value(), m_view.reference(), m_view.epsilon()))
+ {
+ EvalIterator::operator++();
+ }
+ }
+ };
+
+ enum {
+ CoeffReadCost = evaluator<ArgType>::CoeffReadCost,
+ Flags = XprType::Flags
+ };
+
+ explicit unary_evaluator(const XprType& xpr) : m_argImpl(xpr.nestedExpression()), m_view(xpr) {}
+
+ protected:
+ evaluator<ArgType> m_argImpl;
+ const XprType &m_view;
+};
+
+template<typename ArgType>
+struct unary_evaluator<SparseView<ArgType>, IndexBased>
+ : public evaluator_base<SparseView<ArgType> >
+{
+ public:
+ typedef SparseView<ArgType> XprType;
+ protected:
+ enum { IsRowMajor = (XprType::Flags&RowMajorBit)==RowMajorBit };
+ typedef typename XprType::Scalar Scalar;
+ typedef typename XprType::StorageIndex StorageIndex;
+ public:
+
+ class InnerIterator
+ {
+ public:
+
+ EIGEN_STRONG_INLINE InnerIterator(const unary_evaluator& sve, Index outer)
+ : m_sve(sve), m_inner(0), m_outer(outer), m_end(sve.m_view.innerSize())
+ {
+ incrementToNonZero();
+ }
+
+ EIGEN_STRONG_INLINE InnerIterator& operator++()
+ {
+ m_inner++;
+ incrementToNonZero();
+ return *this;
+ }
+
+ EIGEN_STRONG_INLINE Scalar value() const
+ {
+ return (IsRowMajor) ? m_sve.m_argImpl.coeff(m_outer, m_inner)
+ : m_sve.m_argImpl.coeff(m_inner, m_outer);
+ }
+
+ EIGEN_STRONG_INLINE StorageIndex index() const { return m_inner; }
+ inline Index row() const { return IsRowMajor ? m_outer : index(); }
+ inline Index col() const { return IsRowMajor ? index() : m_outer; }
+
+ EIGEN_STRONG_INLINE operator bool() const { return m_inner < m_end && m_inner>=0; }
+
+ protected:
+ const unary_evaluator &m_sve;
+ Index m_inner;
+ const Index m_outer;
+ const Index m_end;
+
+ private:
+ void incrementToNonZero()
+ {
+ while((bool(*this)) && internal::isMuchSmallerThan(value(), m_sve.m_view.reference(), m_sve.m_view.epsilon()))
+ {
+ m_inner++;
+ }
+ }
+ };
+
+ enum {
+ CoeffReadCost = evaluator<ArgType>::CoeffReadCost,
+ Flags = XprType::Flags
+ };
+
+ explicit unary_evaluator(const XprType& xpr) : m_argImpl(xpr.nestedExpression()), m_view(xpr) {}
+
+ protected:
+ evaluator<ArgType> m_argImpl;
+ const XprType &m_view;
+};
+
+} // end namespace internal
+
+/** \ingroup SparseCore_Module
+ *
+ * \returns a sparse expression of the dense expression \c *this with values smaller than
+ * \a reference * \a epsilon removed.
+ *
+ * This method is typically used when prototyping to convert a quickly assembled dense Matrix \c D to a SparseMatrix \c S:
+ * \code
+ * MatrixXd D(n,m);
+ * SparseMatrix<double> S;
+ * S = D.sparseView(); // suppress numerical zeros (exact)
+ * S = D.sparseView(reference);
+ * S = D.sparseView(reference,epsilon);
+ * \endcode
+ * where \a reference is a meaningful non zero reference value,
+ * and \a epsilon is a tolerance factor defaulting to NumTraits<Scalar>::dummy_precision().
+ *
+ * \sa SparseMatrixBase::pruned(), class SparseView */
+template<typename Derived>
+const SparseView<Derived> MatrixBase<Derived>::sparseView(const Scalar& reference,
+ const typename NumTraits<Scalar>::Real& epsilon) const
+{
+ return SparseView<Derived>(derived(), reference, epsilon);
+}
+
+/** \returns an expression of \c *this with values smaller than
+ * \a reference * \a epsilon removed.
+ *
+ * This method is typically used in conjunction with the product of two sparse matrices
+ * to automatically prune the smallest values as follows:
+ * \code
+ * C = (A*B).pruned(); // suppress numerical zeros (exact)
+ * C = (A*B).pruned(ref);
+ * C = (A*B).pruned(ref,epsilon);
+ * \endcode
+ * where \c ref is a meaningful non zero reference value.
+ * */
+template<typename Derived>
+const SparseView<Derived>
+SparseMatrixBase<Derived>::pruned(const Scalar& reference,
+ const RealScalar& epsilon) const
+{
+ return SparseView<Derived>(derived(), reference, epsilon);
+}
+
+} // end namespace Eigen
+
+#endif