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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2009 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_SPARSEVECTOR_H
+#define EIGEN_SPARSEVECTOR_H
+
+namespace Eigen {
+
+/** \ingroup SparseCore_Module
+ * \class SparseVector
+ *
+ * \brief a sparse vector class
+ *
+ * \tparam _Scalar the scalar type, i.e. the type of the coefficients
+ *
+ * See http://www.netlib.org/linalg/html_templates/node91.html for details on the storage scheme.
+ *
+ * This class can be extended with the help of the plugin mechanism described on the page
+ * \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_SPARSEVECTOR_PLUGIN.
+ */
+
+namespace internal {
+template<typename _Scalar, int _Options, typename _Index>
+struct traits<SparseVector<_Scalar, _Options, _Index> >
+{
+ typedef _Scalar Scalar;
+ typedef _Index Index;
+ typedef Sparse StorageKind;
+ typedef MatrixXpr XprKind;
+ enum {
+ IsColVector = (_Options & RowMajorBit) ? 0 : 1,
+
+ RowsAtCompileTime = IsColVector ? Dynamic : 1,
+ ColsAtCompileTime = IsColVector ? 1 : Dynamic,
+ MaxRowsAtCompileTime = RowsAtCompileTime,
+ MaxColsAtCompileTime = ColsAtCompileTime,
+ Flags = _Options | NestByRefBit | LvalueBit | (IsColVector ? 0 : RowMajorBit),
+ CoeffReadCost = NumTraits<Scalar>::ReadCost,
+ SupportedAccessPatterns = InnerRandomAccessPattern
+ };
+};
+
+// Sparse-Vector-Assignment kinds:
+enum {
+ SVA_RuntimeSwitch,
+ SVA_Inner,
+ SVA_Outer
+};
+
+template< typename Dest, typename Src,
+ int AssignmentKind = !bool(Src::IsVectorAtCompileTime) ? SVA_RuntimeSwitch
+ : Src::InnerSizeAtCompileTime==1 ? SVA_Outer
+ : SVA_Inner>
+struct sparse_vector_assign_selector;
+
+}
+
+template<typename _Scalar, int _Options, typename _Index>
+class SparseVector
+ : public SparseMatrixBase<SparseVector<_Scalar, _Options, _Index> >
+{
+ typedef SparseMatrixBase<SparseVector> SparseBase;
+
+ public:
+ EIGEN_SPARSE_PUBLIC_INTERFACE(SparseVector)
+ EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(SparseVector, +=)
+ EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(SparseVector, -=)
+
+ typedef internal::CompressedStorage<Scalar,Index> Storage;
+ enum { IsColVector = internal::traits<SparseVector>::IsColVector };
+
+ enum {
+ Options = _Options
+ };
+
+ EIGEN_STRONG_INLINE Index rows() const { return IsColVector ? m_size : 1; }
+ EIGEN_STRONG_INLINE Index cols() const { return IsColVector ? 1 : m_size; }
+ EIGEN_STRONG_INLINE Index innerSize() const { return m_size; }
+ EIGEN_STRONG_INLINE Index outerSize() const { return 1; }
+
+ EIGEN_STRONG_INLINE const Scalar* valuePtr() const { return &m_data.value(0); }
+ EIGEN_STRONG_INLINE Scalar* valuePtr() { return &m_data.value(0); }
+
+ EIGEN_STRONG_INLINE const Index* innerIndexPtr() const { return &m_data.index(0); }
+ EIGEN_STRONG_INLINE Index* innerIndexPtr() { return &m_data.index(0); }
+
+ /** \internal */
+ inline Storage& data() { return m_data; }
+ /** \internal */
+ inline const Storage& data() const { return m_data; }
+
+ inline Scalar coeff(Index row, Index col) const
+ {
+ eigen_assert(IsColVector ? (col==0 && row>=0 && row<m_size) : (row==0 && col>=0 && col<m_size));
+ return coeff(IsColVector ? row : col);
+ }
+ inline Scalar coeff(Index i) const
+ {
+ eigen_assert(i>=0 && i<m_size);
+ return m_data.at(i);
+ }
+
+ inline Scalar& coeffRef(Index row, Index col)
+ {
+ eigen_assert(IsColVector ? (col==0 && row>=0 && row<m_size) : (row==0 && col>=0 && col<m_size));
+ return coeff(IsColVector ? row : col);
+ }
+
+ /** \returns a reference to the coefficient value at given index \a i
+ * This operation involes a log(rho*size) binary search. If the coefficient does not
+ * exist yet, then a sorted insertion into a sequential buffer is performed.
+ *
+ * This insertion might be very costly if the number of nonzeros above \a i is large.
+ */
+ inline Scalar& coeffRef(Index i)
+ {
+ eigen_assert(i>=0 && i<m_size);
+ return m_data.atWithInsertion(i);
+ }
+
+ public:
+
+ class InnerIterator;
+ class ReverseInnerIterator;
+
+ inline void setZero() { m_data.clear(); }
+
+ /** \returns the number of non zero coefficients */
+ inline Index nonZeros() const { return static_cast<Index>(m_data.size()); }
+
+ inline void startVec(Index outer)
+ {
+ EIGEN_UNUSED_VARIABLE(outer);
+ eigen_assert(outer==0);
+ }
+
+ inline Scalar& insertBackByOuterInner(Index outer, Index inner)
+ {
+ EIGEN_UNUSED_VARIABLE(outer);
+ eigen_assert(outer==0);
+ return insertBack(inner);
+ }
+ inline Scalar& insertBack(Index i)
+ {
+ m_data.append(0, i);
+ return m_data.value(m_data.size()-1);
+ }
+
+ inline Scalar& insert(Index row, Index col)
+ {
+ eigen_assert(IsColVector ? (col==0 && row>=0 && row<m_size) : (row==0 && col>=0 && col<m_size));
+
+ Index inner = IsColVector ? row : col;
+ Index outer = IsColVector ? col : row;
+ eigen_assert(outer==0);
+ return insert(inner);
+ }
+ Scalar& insert(Index i)
+ {
+ eigen_assert(i>=0 && i<m_size);
+
+ Index startId = 0;
+ Index p = Index(m_data.size()) - 1;
+ // TODO smart realloc
+ m_data.resize(p+2,1);
+
+ while ( (p >= startId) && (m_data.index(p) > i) )
+ {
+ m_data.index(p+1) = m_data.index(p);
+ m_data.value(p+1) = m_data.value(p);
+ --p;
+ }
+ m_data.index(p+1) = i;
+ m_data.value(p+1) = 0;
+ return m_data.value(p+1);
+ }
+
+ /**
+ */
+ inline void reserve(Index reserveSize) { m_data.reserve(reserveSize); }
+
+
+ inline void finalize() {}
+
+ void prune(const Scalar& reference, const RealScalar& epsilon = NumTraits<RealScalar>::dummy_precision())
+ {
+ m_data.prune(reference,epsilon);
+ }
+
+ void resize(Index rows, Index cols)
+ {
+ eigen_assert(rows==1 || cols==1);
+ resize(IsColVector ? rows : cols);
+ }
+
+ void resize(Index newSize)
+ {
+ m_size = newSize;
+ m_data.clear();
+ }
+
+ void resizeNonZeros(Index size) { m_data.resize(size); }
+
+ inline SparseVector() : m_size(0) { check_template_parameters(); resize(0); }
+
+ inline SparseVector(Index size) : m_size(0) { check_template_parameters(); resize(size); }
+
+ inline SparseVector(Index rows, Index cols) : m_size(0) { check_template_parameters(); resize(rows,cols); }
+
+ template<typename OtherDerived>
+ inline SparseVector(const SparseMatrixBase<OtherDerived>& other)
+ : m_size(0)
+ {
+ check_template_parameters();
+ *this = other.derived();
+ }
+
+ inline SparseVector(const SparseVector& other)
+ : SparseBase(other), m_size(0)
+ {
+ check_template_parameters();
+ *this = other.derived();
+ }
+
+ /** Swaps the values of \c *this and \a other.
+ * Overloaded for performance: this version performs a \em shallow swap by swaping pointers and attributes only.
+ * \sa SparseMatrixBase::swap()
+ */
+ inline void swap(SparseVector& other)
+ {
+ std::swap(m_size, other.m_size);
+ m_data.swap(other.m_data);
+ }
+
+ inline SparseVector& operator=(const SparseVector& other)
+ {
+ if (other.isRValue())
+ {
+ swap(other.const_cast_derived());
+ }
+ else
+ {
+ resize(other.size());
+ m_data = other.m_data;
+ }
+ return *this;
+ }
+
+ template<typename OtherDerived>
+ inline SparseVector& operator=(const SparseMatrixBase<OtherDerived>& other)
+ {
+ SparseVector tmp(other.size());
+ internal::sparse_vector_assign_selector<SparseVector,OtherDerived>::run(tmp,other.derived());
+ this->swap(tmp);
+ return *this;
+ }
+
+ #ifndef EIGEN_PARSED_BY_DOXYGEN
+ template<typename Lhs, typename Rhs>
+ inline SparseVector& operator=(const SparseSparseProduct<Lhs,Rhs>& product)
+ {
+ return Base::operator=(product);
+ }
+ #endif
+
+ friend std::ostream & operator << (std::ostream & s, const SparseVector& m)
+ {
+ for (Index i=0; i<m.nonZeros(); ++i)
+ s << "(" << m.m_data.value(i) << "," << m.m_data.index(i) << ") ";
+ s << std::endl;
+ return s;
+ }
+
+ /** Destructor */
+ inline ~SparseVector() {}
+
+ /** Overloaded for performance */
+ Scalar sum() const;
+
+ public:
+
+ /** \internal \deprecated use setZero() and reserve() */
+ EIGEN_DEPRECATED void startFill(Index reserve)
+ {
+ setZero();
+ m_data.reserve(reserve);
+ }
+
+ /** \internal \deprecated use insertBack(Index,Index) */
+ EIGEN_DEPRECATED Scalar& fill(Index r, Index c)
+ {
+ eigen_assert(r==0 || c==0);
+ return fill(IsColVector ? r : c);
+ }
+
+ /** \internal \deprecated use insertBack(Index) */
+ EIGEN_DEPRECATED Scalar& fill(Index i)
+ {
+ m_data.append(0, i);
+ return m_data.value(m_data.size()-1);
+ }
+
+ /** \internal \deprecated use insert(Index,Index) */
+ EIGEN_DEPRECATED Scalar& fillrand(Index r, Index c)
+ {
+ eigen_assert(r==0 || c==0);
+ return fillrand(IsColVector ? r : c);
+ }
+
+ /** \internal \deprecated use insert(Index) */
+ EIGEN_DEPRECATED Scalar& fillrand(Index i)
+ {
+ return insert(i);
+ }
+
+ /** \internal \deprecated use finalize() */
+ EIGEN_DEPRECATED void endFill() {}
+
+ // These two functions were here in the 3.1 release, so let's keep them in case some code rely on them.
+ /** \internal \deprecated use data() */
+ EIGEN_DEPRECATED Storage& _data() { return m_data; }
+ /** \internal \deprecated use data() */
+ EIGEN_DEPRECATED const Storage& _data() const { return m_data; }
+
+# ifdef EIGEN_SPARSEVECTOR_PLUGIN
+# include EIGEN_SPARSEVECTOR_PLUGIN
+# endif
+
+protected:
+
+ static void check_template_parameters()
+ {
+ EIGEN_STATIC_ASSERT(NumTraits<Index>::IsSigned,THE_INDEX_TYPE_MUST_BE_A_SIGNED_TYPE);
+ EIGEN_STATIC_ASSERT((_Options&(ColMajor|RowMajor))==Options,INVALID_MATRIX_TEMPLATE_PARAMETERS);
+ }
+
+ Storage m_data;
+ Index m_size;
+};
+
+template<typename Scalar, int _Options, typename _Index>
+class SparseVector<Scalar,_Options,_Index>::InnerIterator
+{
+ public:
+ InnerIterator(const SparseVector& vec, Index outer=0)
+ : m_data(vec.m_data), m_id(0), m_end(static_cast<Index>(m_data.size()))
+ {
+ EIGEN_UNUSED_VARIABLE(outer);
+ eigen_assert(outer==0);
+ }
+
+ InnerIterator(const internal::CompressedStorage<Scalar,Index>& data)
+ : m_data(data), m_id(0), m_end(static_cast<Index>(m_data.size()))
+ {}
+
+ inline InnerIterator& operator++() { m_id++; return *this; }
+
+ inline Scalar value() const { return m_data.value(m_id); }
+ inline Scalar& valueRef() { return const_cast<Scalar&>(m_data.value(m_id)); }
+
+ inline Index index() const { return m_data.index(m_id); }
+ inline Index row() const { return IsColVector ? index() : 0; }
+ inline Index col() const { return IsColVector ? 0 : index(); }
+
+ inline operator bool() const { return (m_id < m_end); }
+
+ protected:
+ const internal::CompressedStorage<Scalar,Index>& m_data;
+ Index m_id;
+ const Index m_end;
+};
+
+template<typename Scalar, int _Options, typename _Index>
+class SparseVector<Scalar,_Options,_Index>::ReverseInnerIterator
+{
+ public:
+ ReverseInnerIterator(const SparseVector& vec, Index outer=0)
+ : m_data(vec.m_data), m_id(static_cast<Index>(m_data.size())), m_start(0)
+ {
+ EIGEN_UNUSED_VARIABLE(outer);
+ eigen_assert(outer==0);
+ }
+
+ ReverseInnerIterator(const internal::CompressedStorage<Scalar,Index>& data)
+ : m_data(data), m_id(static_cast<Index>(m_data.size())), m_start(0)
+ {}
+
+ inline ReverseInnerIterator& operator--() { m_id--; return *this; }
+
+ inline Scalar value() const { return m_data.value(m_id-1); }
+ inline Scalar& valueRef() { return const_cast<Scalar&>(m_data.value(m_id-1)); }
+
+ inline Index index() const { return m_data.index(m_id-1); }
+ inline Index row() const { return IsColVector ? index() : 0; }
+ inline Index col() const { return IsColVector ? 0 : index(); }
+
+ inline operator bool() const { return (m_id > m_start); }
+
+ protected:
+ const internal::CompressedStorage<Scalar,Index>& m_data;
+ Index m_id;
+ const Index m_start;
+};
+
+namespace internal {
+
+template< typename Dest, typename Src>
+struct sparse_vector_assign_selector<Dest,Src,SVA_Inner> {
+ static void run(Dest& dst, const Src& src) {
+ eigen_internal_assert(src.innerSize()==src.size());
+ for(typename Src::InnerIterator it(src, 0); it; ++it)
+ dst.insert(it.index()) = it.value();
+ }
+};
+
+template< typename Dest, typename Src>
+struct sparse_vector_assign_selector<Dest,Src,SVA_Outer> {
+ static void run(Dest& dst, const Src& src) {
+ eigen_internal_assert(src.outerSize()==src.size());
+ for(typename Dest::Index i=0; i<src.size(); ++i)
+ {
+ typename Src::InnerIterator it(src, i);
+ if(it)
+ dst.insert(i) = it.value();
+ }
+ }
+};
+
+template< typename Dest, typename Src>
+struct sparse_vector_assign_selector<Dest,Src,SVA_RuntimeSwitch> {
+ static void run(Dest& dst, const Src& src) {
+ if(src.outerSize()==1) sparse_vector_assign_selector<Dest,Src,SVA_Inner>::run(dst, src);
+ else sparse_vector_assign_selector<Dest,Src,SVA_Outer>::run(dst, src);
+ }
+};
+
+}
+
+} // end namespace Eigen
+
+#endif // EIGEN_SPARSEVECTOR_H