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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2015 Gael Guennebaud <gael.guennebaud (at) inria.fr>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 #ifndef EIGEN_SPARSE_MAP_H
     11 #define EIGEN_SPARSE_MAP_H
     12 
     13 namespace Eigen {
     14 
     15 namespace internal {
     16 
     17 template<typename MatScalar, int MatOptions, typename MatIndex, int Options, typename StrideType>
     18 struct traits<Map<SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> >
     19   : public traits<SparseMatrix<MatScalar,MatOptions,MatIndex> >
     20 {
     21   typedef SparseMatrix<MatScalar,MatOptions,MatIndex> PlainObjectType;
     22   typedef traits<PlainObjectType> TraitsBase;
     23   enum {
     24     Flags = TraitsBase::Flags & (~NestByRefBit)
     25   };
     26 };
     27 
     28 template<typename MatScalar, int MatOptions, typename MatIndex, int Options, typename StrideType>
     29 struct traits<Map<const SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> >
     30   : public traits<SparseMatrix<MatScalar,MatOptions,MatIndex> >
     31 {
     32   typedef SparseMatrix<MatScalar,MatOptions,MatIndex> PlainObjectType;
     33   typedef traits<PlainObjectType> TraitsBase;
     34   enum {
     35     Flags = TraitsBase::Flags & (~ (NestByRefBit | LvalueBit))
     36   };
     37 };
     38 
     39 } // end namespace internal
     40 
     41 template<typename Derived,
     42          int Level = internal::accessors_level<Derived>::has_write_access ? WriteAccessors : ReadOnlyAccessors
     43 > class SparseMapBase;
     44 
     45 /** \ingroup SparseCore_Module
     46   * class SparseMapBase
     47   * \brief Common base class for Map and Ref instance of sparse matrix and vector.
     48   */
     49 template<typename Derived>
     50 class SparseMapBase<Derived,ReadOnlyAccessors>
     51   : public SparseCompressedBase<Derived>
     52 {
     53   public:
     54     typedef SparseCompressedBase<Derived> Base;
     55     typedef typename Base::Scalar Scalar;
     56     typedef typename Base::StorageIndex StorageIndex;
     57     enum { IsRowMajor = Base::IsRowMajor };
     58     using Base::operator=;
     59   protected:
     60 
     61     typedef typename internal::conditional<
     62                          bool(internal::is_lvalue<Derived>::value),
     63                          Scalar *, const Scalar *>::type ScalarPointer;
     64     typedef typename internal::conditional<
     65                          bool(internal::is_lvalue<Derived>::value),
     66                          StorageIndex *, const StorageIndex *>::type IndexPointer;
     67 
     68     Index   m_outerSize;
     69     Index   m_innerSize;
     70     Array<StorageIndex,2,1>  m_zero_nnz;
     71     IndexPointer  m_outerIndex;
     72     IndexPointer  m_innerIndices;
     73     ScalarPointer m_values;
     74     IndexPointer  m_innerNonZeros;
     75 
     76   public:
     77 
     78     /** \copydoc SparseMatrixBase::rows() */
     79     inline Index rows() const { return IsRowMajor ? m_outerSize : m_innerSize; }
     80     /** \copydoc SparseMatrixBase::cols() */
     81     inline Index cols() const { return IsRowMajor ? m_innerSize : m_outerSize; }
     82     /** \copydoc SparseMatrixBase::innerSize() */
     83     inline Index innerSize() const { return m_innerSize; }
     84     /** \copydoc SparseMatrixBase::outerSize() */
     85     inline Index outerSize() const { return m_outerSize; }
     86     /** \copydoc SparseCompressedBase::nonZeros */
     87     inline Index nonZeros() const { return m_zero_nnz[1]; }
     88 
     89     /** \copydoc SparseCompressedBase::isCompressed */
     90     bool isCompressed() const { return m_innerNonZeros==0; }
     91 
     92     //----------------------------------------
     93     // direct access interface
     94     /** \copydoc SparseMatrix::valuePtr */
     95     inline const Scalar* valuePtr() const { return m_values; }
     96     /** \copydoc SparseMatrix::innerIndexPtr */
     97     inline const StorageIndex* innerIndexPtr() const { return m_innerIndices; }
     98     /** \copydoc SparseMatrix::outerIndexPtr */
     99     inline const StorageIndex* outerIndexPtr() const { return m_outerIndex; }
    100     /** \copydoc SparseMatrix::innerNonZeroPtr */
    101     inline const StorageIndex* innerNonZeroPtr() const { return m_innerNonZeros; }
    102     //----------------------------------------
    103 
    104     /** \copydoc SparseMatrix::coeff */
    105     inline Scalar coeff(Index row, Index col) const
    106     {
    107       const Index outer = IsRowMajor ? row : col;
    108       const Index inner = IsRowMajor ? col : row;
    109 
    110       Index start = m_outerIndex[outer];
    111       Index end = isCompressed() ? m_outerIndex[outer+1] : start + m_innerNonZeros[outer];
    112       if (start==end)
    113         return Scalar(0);
    114       else if (end>0 && inner==m_innerIndices[end-1])
    115         return m_values[end-1];
    116       // ^^  optimization: let's first check if it is the last coefficient
    117       // (very common in high level algorithms)
    118 
    119       const StorageIndex* r = std::lower_bound(&m_innerIndices[start],&m_innerIndices[end-1],inner);
    120       const Index id = r-&m_innerIndices[0];
    121       return ((*r==inner) && (id<end)) ? m_values[id] : Scalar(0);
    122     }
    123 
    124     inline SparseMapBase(Index rows, Index cols, Index nnz, IndexPointer outerIndexPtr, IndexPointer innerIndexPtr,
    125                               ScalarPointer valuePtr, IndexPointer innerNonZerosPtr = 0)
    126       : m_outerSize(IsRowMajor?rows:cols), m_innerSize(IsRowMajor?cols:rows), m_zero_nnz(0,internal::convert_index<StorageIndex>(nnz)), m_outerIndex(outerIndexPtr),
    127         m_innerIndices(innerIndexPtr), m_values(valuePtr), m_innerNonZeros(innerNonZerosPtr)
    128     {}
    129 
    130     // for vectors
    131     inline SparseMapBase(Index size, Index nnz, IndexPointer innerIndexPtr, ScalarPointer valuePtr)
    132       : m_outerSize(1), m_innerSize(size), m_zero_nnz(0,internal::convert_index<StorageIndex>(nnz)), m_outerIndex(m_zero_nnz.data()),
    133         m_innerIndices(innerIndexPtr), m_values(valuePtr), m_innerNonZeros(0)
    134     {}
    135 
    136     /** Empty destructor */
    137     inline ~SparseMapBase() {}
    138 
    139   protected:
    140     inline SparseMapBase() {}
    141 };
    142 
    143 /** \ingroup SparseCore_Module
    144   * class SparseMapBase
    145   * \brief Common base class for writable Map and Ref instance of sparse matrix and vector.
    146   */
    147 template<typename Derived>
    148 class SparseMapBase<Derived,WriteAccessors>
    149   : public SparseMapBase<Derived,ReadOnlyAccessors>
    150 {
    151     typedef MapBase<Derived, ReadOnlyAccessors> ReadOnlyMapBase;
    152 
    153   public:
    154     typedef SparseMapBase<Derived, ReadOnlyAccessors> Base;
    155     typedef typename Base::Scalar Scalar;
    156     typedef typename Base::StorageIndex StorageIndex;
    157     enum { IsRowMajor = Base::IsRowMajor };
    158 
    159     using Base::operator=;
    160 
    161   public:
    162 
    163     //----------------------------------------
    164     // direct access interface
    165     using Base::valuePtr;
    166     using Base::innerIndexPtr;
    167     using Base::outerIndexPtr;
    168     using Base::innerNonZeroPtr;
    169     /** \copydoc SparseMatrix::valuePtr */
    170     inline Scalar* valuePtr()              { return Base::m_values; }
    171     /** \copydoc SparseMatrix::innerIndexPtr */
    172     inline StorageIndex* innerIndexPtr()   { return Base::m_innerIndices; }
    173     /** \copydoc SparseMatrix::outerIndexPtr */
    174     inline StorageIndex* outerIndexPtr()   { return Base::m_outerIndex; }
    175     /** \copydoc SparseMatrix::innerNonZeroPtr */
    176     inline StorageIndex* innerNonZeroPtr() { return Base::m_innerNonZeros; }
    177     //----------------------------------------
    178 
    179     /** \copydoc SparseMatrix::coeffRef */
    180     inline Scalar& coeffRef(Index row, Index col)
    181     {
    182       const Index outer = IsRowMajor ? row : col;
    183       const Index inner = IsRowMajor ? col : row;
    184 
    185       Index start = Base::m_outerIndex[outer];
    186       Index end = Base::isCompressed() ? Base::m_outerIndex[outer+1] : start + Base::m_innerNonZeros[outer];
    187       eigen_assert(end>=start && "you probably called coeffRef on a non finalized matrix");
    188       eigen_assert(end>start && "coeffRef cannot be called on a zero coefficient");
    189       StorageIndex* r = std::lower_bound(&Base::m_innerIndices[start],&Base::m_innerIndices[end],inner);
    190       const Index id = r - &Base::m_innerIndices[0];
    191       eigen_assert((*r==inner) && (id<end) && "coeffRef cannot be called on a zero coefficient");
    192       return const_cast<Scalar*>(Base::m_values)[id];
    193     }
    194 
    195     inline SparseMapBase(Index rows, Index cols, Index nnz, StorageIndex* outerIndexPtr, StorageIndex* innerIndexPtr,
    196                          Scalar* valuePtr, StorageIndex* innerNonZerosPtr = 0)
    197       : Base(rows, cols, nnz, outerIndexPtr, innerIndexPtr, valuePtr, innerNonZerosPtr)
    198     {}
    199 
    200     // for vectors
    201     inline SparseMapBase(Index size, Index nnz, StorageIndex* innerIndexPtr, Scalar* valuePtr)
    202       : Base(size, nnz, innerIndexPtr, valuePtr)
    203     {}
    204 
    205     /** Empty destructor */
    206     inline ~SparseMapBase() {}
    207 
    208   protected:
    209     inline SparseMapBase() {}
    210 };
    211 
    212 /** \ingroup SparseCore_Module
    213   *
    214   * \brief Specialization of class Map for SparseMatrix-like storage.
    215   *
    216   * \tparam SparseMatrixType the equivalent sparse matrix type of the referenced data, it must be a template instance of class SparseMatrix.
    217   *
    218   * \sa class Map, class SparseMatrix, class Ref<SparseMatrixType,Options>
    219   */
    220 #ifndef EIGEN_PARSED_BY_DOXYGEN
    221 template<typename MatScalar, int MatOptions, typename MatIndex, int Options, typename StrideType>
    222 class Map<SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType>
    223   : public SparseMapBase<Map<SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> >
    224 #else
    225 template<typename SparseMatrixType>
    226 class Map<SparseMatrixType>
    227   : public SparseMapBase<Derived,WriteAccessors>
    228 #endif
    229 {
    230   public:
    231     typedef SparseMapBase<Map> Base;
    232     EIGEN_SPARSE_PUBLIC_INTERFACE(Map)
    233     enum { IsRowMajor = Base::IsRowMajor };
    234 
    235   public:
    236 
    237     /** Constructs a read-write Map to a sparse matrix of size \a rows x \a cols, containing \a nnz non-zero coefficients,
    238       * stored as a sparse format as defined by the pointers \a outerIndexPtr, \a innerIndexPtr, and \a valuePtr.
    239       * If the optional parameter \a innerNonZerosPtr is the null pointer, then a standard compressed format is assumed.
    240       *
    241       * This constructor is available only if \c SparseMatrixType is non-const.
    242       *
    243       * More details on the expected storage schemes are given in the \ref TutorialSparse "manual pages".
    244       */
    245     inline Map(Index rows, Index cols, Index nnz, StorageIndex* outerIndexPtr,
    246                StorageIndex* innerIndexPtr, Scalar* valuePtr, StorageIndex* innerNonZerosPtr = 0)
    247       : Base(rows, cols, nnz, outerIndexPtr, innerIndexPtr, valuePtr, innerNonZerosPtr)
    248     {}
    249 #ifndef EIGEN_PARSED_BY_DOXYGEN
    250     /** Empty destructor */
    251     inline ~Map() {}
    252 };
    253 
    254 template<typename MatScalar, int MatOptions, typename MatIndex, int Options, typename StrideType>
    255 class Map<const SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType>
    256   : public SparseMapBase<Map<const SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> >
    257 {
    258   public:
    259     typedef SparseMapBase<Map> Base;
    260     EIGEN_SPARSE_PUBLIC_INTERFACE(Map)
    261     enum { IsRowMajor = Base::IsRowMajor };
    262 
    263   public:
    264 #endif
    265     /** This is the const version of the above constructor.
    266       *
    267       * This constructor is available only if \c SparseMatrixType is const, e.g.:
    268       * \code Map<const SparseMatrix<double> >  \endcode
    269       */
    270     inline Map(Index rows, Index cols, Index nnz, const StorageIndex* outerIndexPtr,
    271                const StorageIndex* innerIndexPtr, const Scalar* valuePtr, const StorageIndex* innerNonZerosPtr = 0)
    272       : Base(rows, cols, nnz, outerIndexPtr, innerIndexPtr, valuePtr, innerNonZerosPtr)
    273     {}
    274 
    275     /** Empty destructor */
    276     inline ~Map() {}
    277 };
    278 
    279 namespace internal {
    280 
    281 template<typename MatScalar, int MatOptions, typename MatIndex, int Options, typename StrideType>
    282 struct evaluator<Map<SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> >
    283   : evaluator<SparseCompressedBase<Map<SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> > >
    284 {
    285   typedef evaluator<SparseCompressedBase<Map<SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> > > Base;
    286   typedef Map<SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> XprType;
    287   evaluator() : Base() {}
    288   explicit evaluator(const XprType &mat) : Base(mat) {}
    289 };
    290 
    291 template<typename MatScalar, int MatOptions, typename MatIndex, int Options, typename StrideType>
    292 struct evaluator<Map<const SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> >
    293   : evaluator<SparseCompressedBase<Map<const SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> > >
    294 {
    295   typedef evaluator<SparseCompressedBase<Map<const SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> > > Base;
    296   typedef Map<const SparseMatrix<MatScalar,MatOptions,MatIndex>, Options, StrideType> XprType;
    297   evaluator() : Base() {}
    298   explicit evaluator(const XprType &mat) : Base(mat) {}
    299 };
    300 
    301 }
    302 
    303 } // end namespace Eigen
    304 
    305 #endif // EIGEN_SPARSE_MAP_H
    306