SparseVector.h revision 7faaa9f3f0df9d23790277834d426c3d992ac3ba
1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@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_SPARSEVECTOR_H
11#define EIGEN_SPARSEVECTOR_H
12
13namespace Eigen {
14
15/** \ingroup SparseCore_Module
16  * \class SparseVector
17  *
18  * \brief a sparse vector class
19  *
20  * \tparam _Scalar the scalar type, i.e. the type of the coefficients
21  *
22  * See http://www.netlib.org/linalg/html_templates/node91.html for details on the storage scheme.
23  *
24  * This class can be extended with the help of the plugin mechanism described on the page
25  * \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_SPARSEVECTOR_PLUGIN.
26  */
27
28namespace internal {
29template<typename _Scalar, int _Options, typename _Index>
30struct traits<SparseVector<_Scalar, _Options, _Index> >
31{
32  typedef _Scalar Scalar;
33  typedef _Index Index;
34  typedef Sparse StorageKind;
35  typedef MatrixXpr XprKind;
36  enum {
37    IsColVector = (_Options & RowMajorBit) ? 0 : 1,
38
39    RowsAtCompileTime = IsColVector ? Dynamic : 1,
40    ColsAtCompileTime = IsColVector ? 1 : Dynamic,
41    MaxRowsAtCompileTime = RowsAtCompileTime,
42    MaxColsAtCompileTime = ColsAtCompileTime,
43    Flags = _Options | NestByRefBit | LvalueBit | (IsColVector ? 0 : RowMajorBit),
44    CoeffReadCost = NumTraits<Scalar>::ReadCost,
45    SupportedAccessPatterns = InnerRandomAccessPattern
46  };
47};
48
49// Sparse-Vector-Assignment kinds:
50enum {
51  SVA_RuntimeSwitch,
52  SVA_Inner,
53  SVA_Outer
54};
55
56template< typename Dest, typename Src,
57          int AssignmentKind = !bool(Src::IsVectorAtCompileTime) ? SVA_RuntimeSwitch
58                             : Src::InnerSizeAtCompileTime==1 ? SVA_Outer
59                             : SVA_Inner>
60struct sparse_vector_assign_selector;
61
62}
63
64template<typename _Scalar, int _Options, typename _Index>
65class SparseVector
66  : public SparseMatrixBase<SparseVector<_Scalar, _Options, _Index> >
67{
68    typedef SparseMatrixBase<SparseVector> SparseBase;
69
70  public:
71    EIGEN_SPARSE_PUBLIC_INTERFACE(SparseVector)
72    EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(SparseVector, +=)
73    EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(SparseVector, -=)
74
75    typedef internal::CompressedStorage<Scalar,Index> Storage;
76    enum { IsColVector = internal::traits<SparseVector>::IsColVector };
77
78    enum {
79      Options = _Options
80    };
81
82    EIGEN_STRONG_INLINE Index rows() const { return IsColVector ? m_size : 1; }
83    EIGEN_STRONG_INLINE Index cols() const { return IsColVector ? 1 : m_size; }
84    EIGEN_STRONG_INLINE Index innerSize() const { return m_size; }
85    EIGEN_STRONG_INLINE Index outerSize() const { return 1; }
86
87    EIGEN_STRONG_INLINE const Scalar* valuePtr() const { return &m_data.value(0); }
88    EIGEN_STRONG_INLINE Scalar* valuePtr() { return &m_data.value(0); }
89
90    EIGEN_STRONG_INLINE const Index* innerIndexPtr() const { return &m_data.index(0); }
91    EIGEN_STRONG_INLINE Index* innerIndexPtr() { return &m_data.index(0); }
92
93    /** \internal */
94    inline Storage& data() { return m_data; }
95    /** \internal */
96    inline const Storage& data() const { return m_data; }
97
98    inline Scalar coeff(Index row, Index col) const
99    {
100      eigen_assert(IsColVector ? (col==0 && row>=0 && row<m_size) : (row==0 && col>=0 && col<m_size));
101      return coeff(IsColVector ? row : col);
102    }
103    inline Scalar coeff(Index i) const
104    {
105      eigen_assert(i>=0 && i<m_size);
106      return m_data.at(i);
107    }
108
109    inline Scalar& coeffRef(Index row, Index col)
110    {
111      eigen_assert(IsColVector ? (col==0 && row>=0 && row<m_size) : (row==0 && col>=0 && col<m_size));
112      return coeff(IsColVector ? row : col);
113    }
114
115    /** \returns a reference to the coefficient value at given index \a i
116      * This operation involes a log(rho*size) binary search. If the coefficient does not
117      * exist yet, then a sorted insertion into a sequential buffer is performed.
118      *
119      * This insertion might be very costly if the number of nonzeros above \a i is large.
120      */
121    inline Scalar& coeffRef(Index i)
122    {
123      eigen_assert(i>=0 && i<m_size);
124      return m_data.atWithInsertion(i);
125    }
126
127  public:
128
129    class InnerIterator;
130    class ReverseInnerIterator;
131
132    inline void setZero() { m_data.clear(); }
133
134    /** \returns the number of non zero coefficients */
135    inline Index nonZeros() const  { return static_cast<Index>(m_data.size()); }
136
137    inline void startVec(Index outer)
138    {
139      EIGEN_UNUSED_VARIABLE(outer);
140      eigen_assert(outer==0);
141    }
142
143    inline Scalar& insertBackByOuterInner(Index outer, Index inner)
144    {
145      EIGEN_UNUSED_VARIABLE(outer);
146      eigen_assert(outer==0);
147      return insertBack(inner);
148    }
149    inline Scalar& insertBack(Index i)
150    {
151      m_data.append(0, i);
152      return m_data.value(m_data.size()-1);
153    }
154
155    inline Scalar& insert(Index row, Index col)
156    {
157      eigen_assert(IsColVector ? (col==0 && row>=0 && row<m_size) : (row==0 && col>=0 && col<m_size));
158
159      Index inner = IsColVector ? row : col;
160      Index outer = IsColVector ? col : row;
161      eigen_assert(outer==0);
162      return insert(inner);
163    }
164    Scalar& insert(Index i)
165    {
166      eigen_assert(i>=0 && i<m_size);
167
168      Index startId = 0;
169      Index p = Index(m_data.size()) - 1;
170      // TODO smart realloc
171      m_data.resize(p+2,1);
172
173      while ( (p >= startId) && (m_data.index(p) > i) )
174      {
175        m_data.index(p+1) = m_data.index(p);
176        m_data.value(p+1) = m_data.value(p);
177        --p;
178      }
179      m_data.index(p+1) = i;
180      m_data.value(p+1) = 0;
181      return m_data.value(p+1);
182    }
183
184    /**
185      */
186    inline void reserve(Index reserveSize) { m_data.reserve(reserveSize); }
187
188
189    inline void finalize() {}
190
191    void prune(const Scalar& reference, const RealScalar& epsilon = NumTraits<RealScalar>::dummy_precision())
192    {
193      m_data.prune(reference,epsilon);
194    }
195
196    void resize(Index rows, Index cols)
197    {
198      eigen_assert(rows==1 || cols==1);
199      resize(IsColVector ? rows : cols);
200    }
201
202    void resize(Index newSize)
203    {
204      m_size = newSize;
205      m_data.clear();
206    }
207
208    void resizeNonZeros(Index size) { m_data.resize(size); }
209
210    inline SparseVector() : m_size(0) { check_template_parameters(); resize(0); }
211
212    inline SparseVector(Index size) : m_size(0) { check_template_parameters(); resize(size); }
213
214    inline SparseVector(Index rows, Index cols) : m_size(0) { check_template_parameters(); resize(rows,cols); }
215
216    template<typename OtherDerived>
217    inline SparseVector(const SparseMatrixBase<OtherDerived>& other)
218      : m_size(0)
219    {
220      check_template_parameters();
221      *this = other.derived();
222    }
223
224    inline SparseVector(const SparseVector& other)
225      : SparseBase(other), m_size(0)
226    {
227      check_template_parameters();
228      *this = other.derived();
229    }
230
231    /** Swaps the values of \c *this and \a other.
232      * Overloaded for performance: this version performs a \em shallow swap by swaping pointers and attributes only.
233      * \sa SparseMatrixBase::swap()
234      */
235    inline void swap(SparseVector& other)
236    {
237      std::swap(m_size, other.m_size);
238      m_data.swap(other.m_data);
239    }
240
241    inline SparseVector& operator=(const SparseVector& other)
242    {
243      if (other.isRValue())
244      {
245        swap(other.const_cast_derived());
246      }
247      else
248      {
249        resize(other.size());
250        m_data = other.m_data;
251      }
252      return *this;
253    }
254
255    template<typename OtherDerived>
256    inline SparseVector& operator=(const SparseMatrixBase<OtherDerived>& other)
257    {
258      SparseVector tmp(other.size());
259      internal::sparse_vector_assign_selector<SparseVector,OtherDerived>::run(tmp,other.derived());
260      this->swap(tmp);
261      return *this;
262    }
263
264    #ifndef EIGEN_PARSED_BY_DOXYGEN
265    template<typename Lhs, typename Rhs>
266    inline SparseVector& operator=(const SparseSparseProduct<Lhs,Rhs>& product)
267    {
268      return Base::operator=(product);
269    }
270    #endif
271
272    friend std::ostream & operator << (std::ostream & s, const SparseVector& m)
273    {
274      for (Index i=0; i<m.nonZeros(); ++i)
275        s << "(" << m.m_data.value(i) << "," << m.m_data.index(i) << ") ";
276      s << std::endl;
277      return s;
278    }
279
280    /** Destructor */
281    inline ~SparseVector() {}
282
283    /** Overloaded for performance */
284    Scalar sum() const;
285
286  public:
287
288    /** \internal \deprecated use setZero() and reserve() */
289    EIGEN_DEPRECATED void startFill(Index reserve)
290    {
291      setZero();
292      m_data.reserve(reserve);
293    }
294
295    /** \internal \deprecated use insertBack(Index,Index) */
296    EIGEN_DEPRECATED Scalar& fill(Index r, Index c)
297    {
298      eigen_assert(r==0 || c==0);
299      return fill(IsColVector ? r : c);
300    }
301
302    /** \internal \deprecated use insertBack(Index) */
303    EIGEN_DEPRECATED Scalar& fill(Index i)
304    {
305      m_data.append(0, i);
306      return m_data.value(m_data.size()-1);
307    }
308
309    /** \internal \deprecated use insert(Index,Index) */
310    EIGEN_DEPRECATED Scalar& fillrand(Index r, Index c)
311    {
312      eigen_assert(r==0 || c==0);
313      return fillrand(IsColVector ? r : c);
314    }
315
316    /** \internal \deprecated use insert(Index) */
317    EIGEN_DEPRECATED Scalar& fillrand(Index i)
318    {
319      return insert(i);
320    }
321
322    /** \internal \deprecated use finalize() */
323    EIGEN_DEPRECATED void endFill() {}
324
325    // These two functions were here in the 3.1 release, so let's keep them in case some code rely on them.
326    /** \internal \deprecated use data() */
327    EIGEN_DEPRECATED Storage& _data() { return m_data; }
328    /** \internal \deprecated use data() */
329    EIGEN_DEPRECATED const Storage& _data() const { return m_data; }
330
331#   ifdef EIGEN_SPARSEVECTOR_PLUGIN
332#     include EIGEN_SPARSEVECTOR_PLUGIN
333#   endif
334
335protected:
336
337    static void check_template_parameters()
338    {
339      EIGEN_STATIC_ASSERT(NumTraits<Index>::IsSigned,THE_INDEX_TYPE_MUST_BE_A_SIGNED_TYPE);
340      EIGEN_STATIC_ASSERT((_Options&(ColMajor|RowMajor))==Options,INVALID_MATRIX_TEMPLATE_PARAMETERS);
341    }
342
343    Storage m_data;
344    Index m_size;
345};
346
347template<typename Scalar, int _Options, typename _Index>
348class SparseVector<Scalar,_Options,_Index>::InnerIterator
349{
350  public:
351    InnerIterator(const SparseVector& vec, Index outer=0)
352      : m_data(vec.m_data), m_id(0), m_end(static_cast<Index>(m_data.size()))
353    {
354      EIGEN_UNUSED_VARIABLE(outer);
355      eigen_assert(outer==0);
356    }
357
358    InnerIterator(const internal::CompressedStorage<Scalar,Index>& data)
359      : m_data(data), m_id(0), m_end(static_cast<Index>(m_data.size()))
360    {}
361
362    inline InnerIterator& operator++() { m_id++; return *this; }
363
364    inline Scalar value() const { return m_data.value(m_id); }
365    inline Scalar& valueRef() { return const_cast<Scalar&>(m_data.value(m_id)); }
366
367    inline Index index() const { return m_data.index(m_id); }
368    inline Index row() const { return IsColVector ? index() : 0; }
369    inline Index col() const { return IsColVector ? 0 : index(); }
370
371    inline operator bool() const { return (m_id < m_end); }
372
373  protected:
374    const internal::CompressedStorage<Scalar,Index>& m_data;
375    Index m_id;
376    const Index m_end;
377};
378
379template<typename Scalar, int _Options, typename _Index>
380class SparseVector<Scalar,_Options,_Index>::ReverseInnerIterator
381{
382  public:
383    ReverseInnerIterator(const SparseVector& vec, Index outer=0)
384      : m_data(vec.m_data), m_id(static_cast<Index>(m_data.size())), m_start(0)
385    {
386      EIGEN_UNUSED_VARIABLE(outer);
387      eigen_assert(outer==0);
388    }
389
390    ReverseInnerIterator(const internal::CompressedStorage<Scalar,Index>& data)
391      : m_data(data), m_id(static_cast<Index>(m_data.size())), m_start(0)
392    {}
393
394    inline ReverseInnerIterator& operator--() { m_id--; return *this; }
395
396    inline Scalar value() const { return m_data.value(m_id-1); }
397    inline Scalar& valueRef() { return const_cast<Scalar&>(m_data.value(m_id-1)); }
398
399    inline Index index() const { return m_data.index(m_id-1); }
400    inline Index row() const { return IsColVector ? index() : 0; }
401    inline Index col() const { return IsColVector ? 0 : index(); }
402
403    inline operator bool() const { return (m_id > m_start); }
404
405  protected:
406    const internal::CompressedStorage<Scalar,Index>& m_data;
407    Index m_id;
408    const Index m_start;
409};
410
411namespace internal {
412
413template< typename Dest, typename Src>
414struct sparse_vector_assign_selector<Dest,Src,SVA_Inner> {
415  static void run(Dest& dst, const Src& src) {
416    eigen_internal_assert(src.innerSize()==src.size());
417    for(typename Src::InnerIterator it(src, 0); it; ++it)
418      dst.insert(it.index()) = it.value();
419  }
420};
421
422template< typename Dest, typename Src>
423struct sparse_vector_assign_selector<Dest,Src,SVA_Outer> {
424  static void run(Dest& dst, const Src& src) {
425    eigen_internal_assert(src.outerSize()==src.size());
426    for(typename Dest::Index i=0; i<src.size(); ++i)
427    {
428      typename Src::InnerIterator it(src, i);
429      if(it)
430        dst.insert(i) = it.value();
431    }
432  }
433};
434
435template< typename Dest, typename Src>
436struct sparse_vector_assign_selector<Dest,Src,SVA_RuntimeSwitch> {
437  static void run(Dest& dst, const Src& src) {
438    if(src.outerSize()==1)  sparse_vector_assign_selector<Dest,Src,SVA_Inner>::run(dst, src);
439    else                    sparse_vector_assign_selector<Dest,Src,SVA_Outer>::run(dst, src);
440  }
441};
442
443}
444
445} // end namespace Eigen
446
447#endif // EIGEN_SPARSEVECTOR_H
448