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SparseBlock.h
1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2008-2014 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_SPARSE_BLOCK_H
11#define EIGEN_SPARSE_BLOCK_H
12
13namespace Eigen {
14
15// Subset of columns or rows
16template<typename XprType, int BlockRows, int BlockCols>
18 : public SparseMatrixBase<Block<XprType,BlockRows,BlockCols,true> >
19{
22public:
23 enum { IsRowMajor = internal::traits<BlockType>::IsRowMajor };
24protected:
25 enum { OuterSize = IsRowMajor ? BlockRows : BlockCols };
27 using Base::convert_index;
28public:
29 EIGEN_SPARSE_PUBLIC_INTERFACE(BlockType)
30
31 inline BlockImpl(const XprType& xpr, Index i)
32 : m_matrix(xpr), m_outerStart(convert_index(i)), m_outerSize(OuterSize)
33 {}
34
35 inline BlockImpl(const XprType& xpr, Index startRow, Index startCol, Index blockRows, Index blockCols)
36 : m_matrix(xpr), m_outerStart(convert_index(IsRowMajor ? startRow : startCol)), m_outerSize(convert_index(IsRowMajor ? blockRows : blockCols))
37 {}
38
39 EIGEN_STRONG_INLINE Index rows() const { return IsRowMajor ? m_outerSize.value() : m_matrix.rows(); }
40 EIGEN_STRONG_INLINE Index cols() const { return IsRowMajor ? m_matrix.cols() : m_outerSize.value(); }
41
42 Index nonZeros() const
43 {
44 typedef internal::evaluator<XprType> EvaluatorType;
45 EvaluatorType matEval(m_matrix);
46 Index nnz = 0;
47 Index end = m_outerStart + m_outerSize.value();
48 for(Index j=m_outerStart; j<end; ++j)
49 for(typename EvaluatorType::InnerIterator it(matEval, j); it; ++it)
50 ++nnz;
51 return nnz;
52 }
53
54 inline const Scalar coeff(Index row, Index col) const
55 {
56 return m_matrix.coeff(row + (IsRowMajor ? m_outerStart : 0), col + (IsRowMajor ? 0 : m_outerStart));
57 }
58
59 inline const Scalar coeff(Index index) const
60 {
61 return m_matrix.coeff(IsRowMajor ? m_outerStart : index, IsRowMajor ? index : m_outerStart);
62 }
63
64 inline const _MatrixTypeNested& nestedExpression() const { return m_matrix; }
65 Index startRow() const { return IsRowMajor ? m_outerStart : 0; }
66 Index startCol() const { return IsRowMajor ? 0 : m_outerStart; }
67 Index blockRows() const { return IsRowMajor ? m_outerSize.value() : m_matrix.rows(); }
68 Index blockCols() const { return IsRowMajor ? m_matrix.cols() : m_outerSize.value(); }
69
70 protected:
71
72 typename XprType::Nested m_matrix;
73 Index m_outerStart;
75
76 public:
77 EIGEN_INHERIT_ASSIGNMENT_OPERATORS(BlockImpl)
78};
79
80
81/***************************************************************************
82* specialization for SparseMatrix
83***************************************************************************/
84
85namespace internal {
86
87template<typename SparseMatrixType, int BlockRows, int BlockCols>
89 : public SparseCompressedBase<Block<SparseMatrixType,BlockRows,BlockCols,true> >
90{
94 using Base::convert_index;
95public:
96 enum { IsRowMajor = internal::traits<BlockType>::IsRowMajor };
97 EIGEN_SPARSE_PUBLIC_INTERFACE(BlockType)
98protected:
99 typedef typename Base::IndexVector IndexVector;
100 enum { OuterSize = IsRowMajor ? BlockRows : BlockCols };
101public:
102
103 inline sparse_matrix_block_impl(const SparseMatrixType& xpr, Index i)
104 : m_matrix(xpr), m_outerStart(convert_index(i)), m_outerSize(OuterSize)
105 {}
106
107 inline sparse_matrix_block_impl(const SparseMatrixType& xpr, Index startRow, Index startCol, Index blockRows, Index blockCols)
108 : m_matrix(xpr), m_outerStart(convert_index(IsRowMajor ? startRow : startCol)), m_outerSize(convert_index(IsRowMajor ? blockRows : blockCols))
109 {}
110
111 template<typename OtherDerived>
112 inline BlockType& operator=(const SparseMatrixBase<OtherDerived>& other)
113 {
115 _NestedMatrixType& matrix = const_cast<_NestedMatrixType&>(m_matrix);;
116 // This assignment is slow if this vector set is not empty
117 // and/or it is not at the end of the nonzeros of the underlying matrix.
118
119 // 1 - eval to a temporary to avoid transposition and/or aliasing issues
121 eigen_internal_assert(tmp.outerSize()==m_outerSize.value());
122
123 // 2 - let's check whether there is enough allocated memory
124 Index nnz = tmp.nonZeros();
125 Index start = m_outerStart==0 ? 0 : matrix.outerIndexPtr()[m_outerStart]; // starting position of the current block
126 Index end = m_matrix.outerIndexPtr()[m_outerStart+m_outerSize.value()]; // ending position of the current block
127 Index block_size = end - start; // available room in the current block
128 Index tail_size = m_matrix.outerIndexPtr()[m_matrix.outerSize()] - end;
129
130 Index free_size = m_matrix.isCompressed()
131 ? Index(matrix.data().allocatedSize()) + block_size
132 : block_size;
133
134 bool update_trailing_pointers = false;
135 if(nnz>free_size)
136 {
137 // realloc manually to reduce copies
138 typename SparseMatrixType::Storage newdata(m_matrix.data().allocatedSize() - block_size + nnz);
139
140 internal::smart_copy(&m_matrix.data().value(0), &m_matrix.data().value(0) + start, &newdata.value(0));
141 internal::smart_copy(&m_matrix.data().index(0), &m_matrix.data().index(0) + start, &newdata.index(0));
142
143 internal::smart_copy(tmp.valuePtr(), tmp.valuePtr() + nnz, &newdata.value(start));
144 internal::smart_copy(tmp.innerIndexPtr(), tmp.innerIndexPtr() + nnz, &newdata.index(start));
145
146 internal::smart_copy(&matrix.data().value(end), &matrix.data().value(end) + tail_size, &newdata.value(start+nnz));
147 internal::smart_copy(&matrix.data().index(end), &matrix.data().index(end) + tail_size, &newdata.index(start+nnz));
148
149 newdata.resize(m_matrix.outerIndexPtr()[m_matrix.outerSize()] - block_size + nnz);
150
151 matrix.data().swap(newdata);
152
154 }
155 else
156 {
157 if(m_matrix.isCompressed())
158 {
159 // no need to realloc, simply copy the tail at its respective position and insert tmp
160 matrix.data().resize(start + nnz + tail_size);
161
162 internal::smart_memmove(&matrix.data().value(end), &matrix.data().value(end) + tail_size, &matrix.data().value(start + nnz));
163 internal::smart_memmove(&matrix.data().index(end), &matrix.data().index(end) + tail_size, &matrix.data().index(start + nnz));
164
166 }
167
168 internal::smart_copy(tmp.valuePtr(), tmp.valuePtr() + nnz, &matrix.data().value(start));
169 internal::smart_copy(tmp.innerIndexPtr(), tmp.innerIndexPtr() + nnz, &matrix.data().index(start));
170 }
171
172 // update outer index pointers and innerNonZeros
174 {
175 if(!m_matrix.isCompressed())
176 matrix.innerNonZeroPtr()[m_outerStart] = StorageIndex(nnz);
177 matrix.outerIndexPtr()[m_outerStart] = StorageIndex(start);
178 }
179 else
180 {
181 StorageIndex p = StorageIndex(start);
182 for(Index k=0; k<m_outerSize.value(); ++k)
183 {
184 Index nnz_k = tmp.innerVector(k).nonZeros();
185 if(!m_matrix.isCompressed())
186 matrix.innerNonZeroPtr()[m_outerStart+k] = StorageIndex(nnz_k);
187 matrix.outerIndexPtr()[m_outerStart+k] = p;
188 p += nnz_k;
189 }
190 }
191
193 {
194 StorageIndex offset = internal::convert_index<StorageIndex>(nnz - block_size);
195 for(Index k = m_outerStart + m_outerSize.value(); k<=matrix.outerSize(); ++k)
196 {
197 matrix.outerIndexPtr()[k] += offset;
198 }
199 }
200
201 return derived();
202 }
203
204 inline BlockType& operator=(const BlockType& other)
205 {
206 return operator=<BlockType>(other);
207 }
208
209 inline const Scalar* valuePtr() const
210 { return m_matrix.valuePtr(); }
211 inline Scalar* valuePtr()
212 { return m_matrix.const_cast_derived().valuePtr(); }
213
214 inline const StorageIndex* innerIndexPtr() const
215 { return m_matrix.innerIndexPtr(); }
216 inline StorageIndex* innerIndexPtr()
217 { return m_matrix.const_cast_derived().innerIndexPtr(); }
218
219 inline const StorageIndex* outerIndexPtr() const
220 { return m_matrix.outerIndexPtr() + m_outerStart; }
221 inline StorageIndex* outerIndexPtr()
222 { return m_matrix.const_cast_derived().outerIndexPtr() + m_outerStart; }
223
224 inline const StorageIndex* innerNonZeroPtr() const
225 { return isCompressed() ? 0 : (m_matrix.innerNonZeroPtr()+m_outerStart); }
226 inline StorageIndex* innerNonZeroPtr()
227 { return isCompressed() ? 0 : (m_matrix.const_cast_derived().innerNonZeroPtr()+m_outerStart); }
228
229 bool isCompressed() const { return m_matrix.innerNonZeroPtr()==0; }
230
231 inline Scalar& coeffRef(Index row, Index col)
232 {
233 return m_matrix.const_cast_derived().coeffRef(row + (IsRowMajor ? m_outerStart : 0), col + (IsRowMajor ? 0 : m_outerStart));
234 }
235
236 inline const Scalar coeff(Index row, Index col) const
237 {
238 return m_matrix.coeff(row + (IsRowMajor ? m_outerStart : 0), col + (IsRowMajor ? 0 : m_outerStart));
239 }
240
241 inline const Scalar coeff(Index index) const
242 {
243 return m_matrix.coeff(IsRowMajor ? m_outerStart : index, IsRowMajor ? index : m_outerStart);
244 }
245
246 const Scalar& lastCoeff() const
247 {
248 EIGEN_STATIC_ASSERT_VECTOR_ONLY(sparse_matrix_block_impl);
249 eigen_assert(Base::nonZeros()>0);
250 if(m_matrix.isCompressed())
251 return m_matrix.valuePtr()[m_matrix.outerIndexPtr()[m_outerStart+1]-1];
252 else
253 return m_matrix.valuePtr()[m_matrix.outerIndexPtr()[m_outerStart]+m_matrix.innerNonZeroPtr()[m_outerStart]-1];
254 }
255
256 EIGEN_STRONG_INLINE Index rows() const { return IsRowMajor ? m_outerSize.value() : m_matrix.rows(); }
257 EIGEN_STRONG_INLINE Index cols() const { return IsRowMajor ? m_matrix.cols() : m_outerSize.value(); }
258
259 inline const _MatrixTypeNested& nestedExpression() const { return m_matrix; }
260 Index startRow() const { return IsRowMajor ? m_outerStart : 0; }
261 Index startCol() const { return IsRowMajor ? 0 : m_outerStart; }
262 Index blockRows() const { return IsRowMajor ? m_outerSize.value() : m_matrix.rows(); }
263 Index blockCols() const { return IsRowMajor ? m_matrix.cols() : m_outerSize.value(); }
264
265 protected:
266
267 typename SparseMatrixType::Nested m_matrix;
268 Index m_outerStart;
270
271};
272
273} // namespace internal
274
275template<typename _Scalar, int _Options, typename _StorageIndex, int BlockRows, int BlockCols>
276class BlockImpl<SparseMatrix<_Scalar, _Options, _StorageIndex>,BlockRows,BlockCols,true,Sparse>
277 : public internal::sparse_matrix_block_impl<SparseMatrix<_Scalar, _Options, _StorageIndex>,BlockRows,BlockCols>
278{
279public:
280 typedef _StorageIndex StorageIndex;
283 inline BlockImpl(SparseMatrixType& xpr, Index i)
284 : Base(xpr, i)
285 {}
286
287 inline BlockImpl(SparseMatrixType& xpr, Index startRow, Index startCol, Index blockRows, Index blockCols)
288 : Base(xpr, startRow, startCol, blockRows, blockCols)
289 {}
290
291 using Base::operator=;
292};
293
294template<typename _Scalar, int _Options, typename _StorageIndex, int BlockRows, int BlockCols>
295class BlockImpl<const SparseMatrix<_Scalar, _Options, _StorageIndex>,BlockRows,BlockCols,true,Sparse>
296 : public internal::sparse_matrix_block_impl<const SparseMatrix<_Scalar, _Options, _StorageIndex>,BlockRows,BlockCols>
297{
298public:
299 typedef _StorageIndex StorageIndex;
302 inline BlockImpl(SparseMatrixType& xpr, Index i)
303 : Base(xpr, i)
304 {}
305
306 inline BlockImpl(SparseMatrixType& xpr, Index startRow, Index startCol, Index blockRows, Index blockCols)
307 : Base(xpr, startRow, startCol, blockRows, blockCols)
308 {}
309
310 using Base::operator=;
311private:
312 template<typename Derived> BlockImpl(const SparseMatrixBase<Derived>& xpr, Index i);
313 template<typename Derived> BlockImpl(const SparseMatrixBase<Derived>& xpr);
314};
315
316//----------
317
321template<typename Derived>
324
328template<typename Derived>
331
335template<typename Derived>
338{
340 IsRowMajor ? outerStart : 0, IsRowMajor ? 0 : outerStart,
341 IsRowMajor ? outerSize : rows(), IsRowMajor ? cols() : outerSize);
343}
344
348template<typename Derived>
351{
353 IsRowMajor ? outerStart : 0, IsRowMajor ? 0 : outerStart,
354 IsRowMajor ? outerSize : rows(), IsRowMajor ? cols() : outerSize);
355
356}
357
361template<typename XprType, int BlockRows, int BlockCols, bool InnerPanel>
363 : public SparseMatrixBase<Block<XprType,BlockRows,BlockCols,InnerPanel> >, internal::no_assignment_operator
364{
367 using Base::convert_index;
368public:
369 enum { IsRowMajor = internal::traits<BlockType>::IsRowMajor };
370 EIGEN_SPARSE_PUBLIC_INTERFACE(BlockType)
371
373
376 inline BlockImpl(const XprType& xpr, Index i)
377 : m_matrix(xpr),
378 m_startRow( (BlockRows==1) && (BlockCols==XprType::ColsAtCompileTime) ? convert_index(i) : 0),
379 m_startCol( (BlockRows==XprType::RowsAtCompileTime) && (BlockCols==1) ? convert_index(i) : 0),
380 m_blockRows(BlockRows==1 ? 1 : xpr.rows()),
381 m_blockCols(BlockCols==1 ? 1 : xpr.cols())
382 {}
383
386 inline BlockImpl(const XprType& xpr, Index startRow, Index startCol, Index blockRows, Index blockCols)
387 : m_matrix(xpr), m_startRow(convert_index(startRow)), m_startCol(convert_index(startCol)), m_blockRows(convert_index(blockRows)), m_blockCols(convert_index(blockCols))
388 {}
389
390 inline Index rows() const { return m_blockRows.value(); }
391 inline Index cols() const { return m_blockCols.value(); }
392
393 inline Scalar& coeffRef(Index row, Index col)
394 {
395 return m_matrix.const_cast_derived()
396 .coeffRef(row + m_startRow.value(), col + m_startCol.value());
397 }
398
399 inline const Scalar coeff(Index row, Index col) const
400 {
401 return m_matrix.coeff(row + m_startRow.value(), col + m_startCol.value());
402 }
403
404 inline Scalar& coeffRef(Index index)
405 {
406 return m_matrix.const_cast_derived()
407 .coeffRef(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index),
408 m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0));
409 }
410
411 inline const Scalar coeff(Index index) const
412 {
413 return m_matrix
414 .coeff(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index),
415 m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0));
416 }
417
418 inline const _MatrixTypeNested& nestedExpression() const { return m_matrix; }
419 Index startRow() const { return m_startRow.value(); }
420 Index startCol() const { return m_startCol.value(); }
421 Index blockRows() const { return m_blockRows.value(); }
422 Index blockCols() const { return m_blockCols.value(); }
423
424 protected:
425// friend class internal::GenericSparseBlockInnerIteratorImpl<XprType,BlockRows,BlockCols,InnerPanel>;
426 friend class ReverseInnerIterator;
427 friend struct internal::unary_evaluator<Block<XprType,BlockRows,BlockCols,InnerPanel>, internal::IteratorBased, Scalar >;
428
429 Index nonZeros() const { return Dynamic; }
430
431 EIGEN_INHERIT_ASSIGNMENT_OPERATORS(BlockImpl)
432
433 typename XprType::Nested m_matrix;
434 const internal::variable_if_dynamic<Index, XprType::RowsAtCompileTime == 1 ? 0 : Dynamic> m_startRow;
435 const internal::variable_if_dynamic<Index, XprType::ColsAtCompileTime == 1 ? 0 : Dynamic> m_startCol;
436 const internal::variable_if_dynamic<Index, RowsAtCompileTime> m_blockRows;
437 const internal::variable_if_dynamic<Index, ColsAtCompileTime> m_blockCols;
438
439};
440
441namespace internal {
442
443template<typename ArgType, int BlockRows, int BlockCols, bool InnerPanel>
445 : public evaluator_base<Block<ArgType,BlockRows,BlockCols,InnerPanel> >
446{
447 class InnerVectorInnerIterator;
448 class OuterVectorInnerIterator;
449 public:
451 typedef typename XprType::StorageIndex StorageIndex;
452 typedef typename XprType::Scalar Scalar;
453
454 class ReverseInnerIterator;
455
456 enum {
457 IsRowMajor = XprType::IsRowMajor,
458
459 OuterVector = (BlockCols==1 && ArgType::IsRowMajor)
460 | // FIXME | instead of || to please GCC 4.4.0 stupid warning "suggest parentheses around &&".
461 // revert to || as soon as not needed anymore.
462 (BlockRows==1 && !ArgType::IsRowMajor),
463
464 CoeffReadCost = evaluator<ArgType>::CoeffReadCost,
465 Flags = XprType::Flags
466 };
467
469
470 explicit unary_evaluator(const XprType& op)
471 : m_argImpl(op.nestedExpression()), m_block(op)
472 {}
473
474 inline Index nonZerosEstimate() const {
475 Index nnz = m_block.nonZeros();
476 if(nnz<0)
477 return m_argImpl.nonZerosEstimate() * m_block.size() / m_block.nestedExpression().size();
478 return nnz;
479 }
480
481 protected:
483
484 evaluator<ArgType> m_argImpl;
485 const XprType &m_block;
486};
487
488template<typename ArgType, int BlockRows, int BlockCols, bool InnerPanel>
489class unary_evaluator<Block<ArgType,BlockRows,BlockCols,InnerPanel>, IteratorBased>::InnerVectorInnerIterator
490 : public EvalIterator
491{
492 const XprType& m_block;
493 Index m_end;
494public:
495
496 EIGEN_STRONG_INLINE InnerVectorInnerIterator(const unary_evaluator& aEval, Index outer)
497 : EvalIterator(aEval.m_argImpl, outer + (IsRowMajor ? aEval.m_block.startRow() : aEval.m_block.startCol())),
498 m_block(aEval.m_block),
499 m_end(IsRowMajor ? aEval.m_block.startCol()+aEval.m_block.blockCols() : aEval.m_block.startRow()+aEval.m_block.blockRows())
500 {
501 while( (EvalIterator::operator bool()) && (EvalIterator::index() < (IsRowMajor ? m_block.startCol() : m_block.startRow())) )
502 EvalIterator::operator++();
503 }
504
505 inline StorageIndex index() const { return EvalIterator::index() - convert_index<StorageIndex>(IsRowMajor ? m_block.startCol() : m_block.startRow()); }
506 inline Index outer() const { return EvalIterator::outer() - (IsRowMajor ? m_block.startRow() : m_block.startCol()); }
507 inline Index row() const { return EvalIterator::row() - m_block.startRow(); }
508 inline Index col() const { return EvalIterator::col() - m_block.startCol(); }
509
510 inline operator bool() const { return EvalIterator::operator bool() && EvalIterator::index() < m_end; }
511};
512
513template<typename ArgType, int BlockRows, int BlockCols, bool InnerPanel>
514class unary_evaluator<Block<ArgType,BlockRows,BlockCols,InnerPanel>, IteratorBased>::OuterVectorInnerIterator
515{
516 const unary_evaluator& m_eval;
517 Index m_outerPos;
518 Index m_innerIndex;
519 Scalar m_value;
520 Index m_end;
521public:
522
523 EIGEN_STRONG_INLINE OuterVectorInnerIterator(const unary_evaluator& aEval, Index outer)
524 : m_eval(aEval),
525 m_outerPos( (IsRowMajor ? aEval.m_block.startCol() : aEval.m_block.startRow()) - 1), // -1 so that operator++ finds the first non-zero entry
526 m_innerIndex(IsRowMajor ? aEval.m_block.startRow() : aEval.m_block.startCol()),
527 m_value(0),
528 m_end(IsRowMajor ? aEval.m_block.startCol()+aEval.m_block.blockCols() : aEval.m_block.startRow()+aEval.m_block.blockRows())
529 {
530 EIGEN_UNUSED_VARIABLE(outer);
531 eigen_assert(outer==0);
532
533 ++(*this);
534 }
535
536 inline StorageIndex index() const { return convert_index<StorageIndex>(m_outerPos - (IsRowMajor ? m_eval.m_block.startCol() : m_eval.m_block.startRow())); }
537 inline Index outer() const { return 0; }
538 inline Index row() const { return IsRowMajor ? 0 : index(); }
539 inline Index col() const { return IsRowMajor ? index() : 0; }
540
541 inline Scalar value() const { return m_value; }
542
543 inline OuterVectorInnerIterator& operator++()
544 {
545 // search next non-zero entry
546 while(++m_outerPos<m_end)
547 {
548 EvalIterator it(m_eval.m_argImpl, m_outerPos);
549 // search for the key m_innerIndex in the current outer-vector
550 while(it && it.index() < m_innerIndex) ++it;
551 if(it && it.index()==m_innerIndex)
552 {
553 m_value = it.value();
554 break;
555 }
556 }
557 return *this;
558 }
559
560 inline operator bool() const { return m_outerPos < m_end; }
561};
562
563template<typename _Scalar, int _Options, typename _StorageIndex, int BlockRows, int BlockCols>
564struct unary_evaluator<Block<SparseMatrix<_Scalar, _Options, _StorageIndex>,BlockRows,BlockCols,true>, IteratorBased>
565 : evaluator<SparseCompressedBase<Block<SparseMatrix<_Scalar, _Options, _StorageIndex>,BlockRows,BlockCols,true> > >
566{
569 explicit unary_evaluator(const XprType &xpr) : Base(xpr) {}
570};
571
572template<typename _Scalar, int _Options, typename _StorageIndex, int BlockRows, int BlockCols>
573struct unary_evaluator<Block<const SparseMatrix<_Scalar, _Options, _StorageIndex>,BlockRows,BlockCols,true>, IteratorBased>
574 : evaluator<SparseCompressedBase<Block<const SparseMatrix<_Scalar, _Options, _StorageIndex>,BlockRows,BlockCols,true> > >
575{
578 explicit unary_evaluator(const XprType &xpr) : Base(xpr) {}
579};
580
581} // end namespace internal
582
583
584} // end namespace Eigen
585
586#endif // EIGEN_SPARSE_BLOCK_H
BlockImpl(const XprType &xpr, Index i)
Column or Row constructor.
Definition SparseBlock.h:376
BlockImpl(const XprType &xpr, Index startRow, Index startCol, Index blockRows, Index blockCols)
Dynamic-size constructor.
Definition SparseBlock.h:386
Definition Block.h:102
Expression of a fixed-size or dynamic-size block.
Definition Block.h:106
Pseudo expression representing a solving operation.
Definition Solve.h:63
Definition SparseCompressedBase.h:28
Base class of any sparse matrices or sparse expressions.
Definition SparseMatrixBase.h:34
@ IsVectorAtCompileTime
This is set to true if either the number of rows or the number of columns is known at compile-time to...
Definition SparseMatrixBase.h:86
A versatible sparse matrix representation.
Definition SparseMatrix.h:94
Definition XprHelper.h:67
Eigen::Index Index
The interface type of indices.
Definition EigenBase.h:37
The type used to identify a general sparse storage.
Definition Constants.h:493
Definition Constants.h:528
Definition CoreEvaluators.h:101
Definition CoreEvaluators.h:82
Definition ForwardDeclarations.h:17
Definition Meta.h:30
Definition CoreEvaluators.h:56