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SMatTDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <stdexcept>
65 #include <blaze/util/Assert.h>
68 #include <blaze/util/SelectType.h>
69 #include <blaze/util/Types.h>
70 
71 
72 namespace blaze {
73 
74 //=================================================================================================
75 //
76 // CLASS SMATTDMATSUBEXPR
77 //
78 //=================================================================================================
79 
80 //*************************************************************************************************
87 template< typename MT1 // Type of the left-hand side sparse matrix
88  , typename MT2 > // Type of the right-hand side dense matrix
89 class SMatTDMatSubExpr : public DenseMatrix< SMatTDMatSubExpr<MT1,MT2>, false >
90  , private MatMatSubExpr
91  , private Computation
92 {
93  private:
94  //**Type definitions****************************************************************************
95  typedef typename MT1::ResultType RT1;
96  typedef typename MT2::ResultType RT2;
97  typedef typename MT1::ReturnType RN1;
98  typedef typename MT2::ReturnType RN2;
99  //**********************************************************************************************
100 
101  //**Return type evaluation**********************************************************************
103 
108  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
109 
112  //**********************************************************************************************
113 
114  public:
115  //**Type definitions****************************************************************************
121 
124 
126  typedef const ResultType CompositeType;
127 
129  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
130 
132  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
133  //**********************************************************************************************
134 
135  //**Compilation flags***************************************************************************
137  enum { vectorizable = 0 };
138 
140  enum { smpAssignable = 0 };
141  //**********************************************************************************************
142 
143  //**Constructor*********************************************************************************
149  explicit inline SMatTDMatSubExpr( const MT1& lhs, const MT2& rhs )
150  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
151  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
152  {
153  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
154  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
155  }
156  //**********************************************************************************************
157 
158  //**Access operator*****************************************************************************
165  inline ReturnType operator()( size_t i, size_t j ) const {
166  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
167  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
168  return lhs_(i,j) - rhs_(i,j);
169  }
170  //**********************************************************************************************
171 
172  //**Rows function*******************************************************************************
177  inline size_t rows() const {
178  return lhs_.rows();
179  }
180  //**********************************************************************************************
181 
182  //**Columns function****************************************************************************
187  inline size_t columns() const {
188  return lhs_.columns();
189  }
190  //**********************************************************************************************
191 
192  //**Left operand access*************************************************************************
197  inline LeftOperand leftOperand() const {
198  return lhs_;
199  }
200  //**********************************************************************************************
201 
202  //**Right operand access************************************************************************
207  inline RightOperand rightOperand() const {
208  return rhs_;
209  }
210  //**********************************************************************************************
211 
212  //**********************************************************************************************
218  template< typename T >
219  inline bool canAlias( const T* alias ) const {
220  return ( lhs_.canAlias( alias ) ) ||
221  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
222  }
223  //**********************************************************************************************
224 
225  //**********************************************************************************************
231  template< typename T >
232  inline bool isAliased( const T* alias ) const {
233  return lhs_.isAliased( alias ) && rhs_.isAliased( alias );
234  }
235  //**********************************************************************************************
236 
237  private:
238  //**Member variables****************************************************************************
241  //**********************************************************************************************
242 
243  //**Assignment to dense matrices****************************************************************
255  template< typename MT // Type of the target dense matrix
256  , bool SO2 > // Storage order of the target dense matrix
257  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
258  {
260 
261  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
262  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
263 
264  smpAssign ( ~lhs, -rhs.rhs_ );
265  smpAddAssign( ~lhs, rhs.lhs_ );
266  }
268  //**********************************************************************************************
269 
270  //**Assignment to sparse matrices***************************************************************
282  template< typename MT // Type of the target sparse matrix
283  , bool SO2 > // Storage order of the target sparse matrix
284  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
285  {
287 
288  typedef typename SelectType< SO2, OppositeType, ResultType >::Type TmpType;
289 
296 
297  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
298  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
299 
300  const TmpType tmp( rhs );
301  smpAssign( ~lhs, tmp );
302  }
304  //**********************************************************************************************
305 
306  //**Addition assignment to dense matrices*******************************************************
319  template< typename MT // Type of the target dense matrix
320  , bool SO2 > // Storage order of the target dense matrix
321  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
322  {
324 
325  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
326  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
327 
328  smpSubAssign( ~lhs, rhs.rhs_ );
329  smpAddAssign( ~lhs, rhs.lhs_ );
330  }
332  //**********************************************************************************************
333 
334  //**Addition assignment to sparse matrices******************************************************
335  // No special implementation for the addition assignment to sparse matrices.
336  //**********************************************************************************************
337 
338  //**Subtraction assignment to dense matrices****************************************************
351  template< typename MT // Type of the target dense matrix
352  , bool SO2 > // Storage order of the target dense matrix
353  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
354  {
356 
357  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
358  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
359 
360  smpAddAssign( ~lhs, rhs.rhs_ );
361  smpSubAssign( ~lhs, rhs.lhs_ );
362  }
364  //**********************************************************************************************
365 
366  //**Subtraction assignment to sparse matrices***************************************************
367  // No special implementation for the subtraction assignment to sparse matrices.
368  //**********************************************************************************************
369 
370  //**Multiplication assignment to dense matrices*************************************************
371  // No special implementation for the multiplication assignment to dense matrices.
372  //**********************************************************************************************
373 
374  //**Multiplication assignment to sparse matrices************************************************
375  // No special implementation for the multiplication assignment to sparse matrices.
376  //**********************************************************************************************
377 
378  //**Compile time checks*************************************************************************
385  //**********************************************************************************************
386 };
387 //*************************************************************************************************
388 
389 
390 
391 
392 //=================================================================================================
393 //
394 // GLOBAL BINARY ARITHMETIC OPERATORS
395 //
396 //=================================================================================================
397 
398 //*************************************************************************************************
429 template< typename T1 // Type of the left-hand side sparse matrix
430  , typename T2 > // Type of the right-hand side dense matrix
431 inline const SMatTDMatSubExpr<T1,T2>
433 {
435 
436  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() )
437  throw std::invalid_argument( "Matrix sizes do not match" );
438 
439  return SMatTDMatSubExpr<T1,T2>( ~lhs, ~rhs );
440 }
441 //*************************************************************************************************
442 
443 
444 
445 
446 //=================================================================================================
447 //
448 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
449 //
450 //=================================================================================================
451 
452 //*************************************************************************************************
465 template< typename T1 // Type of the sparse matrix of the left-hand side expression
466  , typename T2 // Type of the dense matrix of the left-hand side expression
467  , typename T3 // Type of the right-hand side dense matrix
468  , bool SO > // Storage order of the right-hand side dense matrix
469 inline const typename AddExprTrait< SMatTDMatSubExpr<T1,T2>, T3 >::Type
470  operator+( const SMatTDMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
471 {
473 
474  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
475 }
477 //*************************************************************************************************
478 
479 
480 //*************************************************************************************************
493 template< typename T1 // Type of the sparse matrix of the left-hand side expression
494  , typename T2 // Type of the dense matrix of the left-hand side expression
495  , typename T3 // Type of the right-hand side dense matrix
496  , bool SO > // Storage order of the right-hand side dense matrix
497 inline const typename SubExprTrait< SMatTDMatSubExpr<T1,T2>, T3 >::Type
498  operator-( const SMatTDMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
499 {
501 
502  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
503 }
505 //*************************************************************************************************
506 
507 
508 
509 
510 //=================================================================================================
511 //
512 // EXPRESSION TRAIT SPECIALIZATIONS
513 //
514 //=================================================================================================
515 
516 //*************************************************************************************************
518 template< typename MT1, typename MT2, typename MT3 >
519 struct DMatDMatAddExprTrait< SMatTDMatSubExpr<MT1,MT2>, MT3 >
520 {
521  public:
522  //**********************************************************************************************
524  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
525  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
526  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
527  , typename DMatSMatAddExprTrait< typename DMatTDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
528  , INVALID_TYPE >::Type Type;
530  //**********************************************************************************************
531 };
533 //*************************************************************************************************
534 
535 
536 //*************************************************************************************************
538 template< typename MT1, typename MT2, typename MT3 >
539 struct DMatTDMatAddExprTrait< SMatTDMatSubExpr<MT1,MT2>, MT3 >
540 {
541  public:
542  //**********************************************************************************************
544  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
545  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
546  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
547  , typename TDMatSMatAddExprTrait< typename TDMatTDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
548  , INVALID_TYPE >::Type Type;
550  //**********************************************************************************************
551 };
553 //*************************************************************************************************
554 
555 
556 //*************************************************************************************************
558 template< typename MT1, typename MT2, typename MT3 >
559 struct DMatDMatSubExprTrait< SMatTDMatSubExpr<MT1,MT2>, MT3 >
560 {
561  public:
562  //**********************************************************************************************
564  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
565  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
566  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
567  , typename SMatDMatSubExprTrait< MT1, typename TDMatDMatAddExprTrait<MT2,MT3>::Type >::Type
568  , INVALID_TYPE >::Type Type;
570  //**********************************************************************************************
571 };
573 //*************************************************************************************************
574 
575 
576 //*************************************************************************************************
578 template< typename MT1, typename MT2, typename MT3 >
579 struct DMatTDMatSubExprTrait< SMatTDMatSubExpr<MT1,MT2>, MT3 >
580 {
581  public:
582  //**********************************************************************************************
584  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
585  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
586  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
587  , typename SMatTDMatSubExprTrait< MT1, typename TDMatTDMatAddExprTrait<MT2,MT3>::Type >::Type
588  , INVALID_TYPE >::Type Type;
590  //**********************************************************************************************
591 };
593 //*************************************************************************************************
594 
595 
596 //*************************************************************************************************
598 template< typename MT1, typename MT2, bool AF >
599 struct SubmatrixExprTrait< SMatTDMatSubExpr<MT1,MT2>, AF >
600 {
601  public:
602  //**********************************************************************************************
603  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
604  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
605  //**********************************************************************************************
606 };
608 //*************************************************************************************************
609 
610 
611 //*************************************************************************************************
613 template< typename MT1, typename MT2 >
614 struct RowExprTrait< SMatTDMatSubExpr<MT1,MT2> >
615 {
616  public:
617  //**********************************************************************************************
618  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
619  , typename RowExprTrait<const MT2>::Type >::Type Type;
620  //**********************************************************************************************
621 };
623 //*************************************************************************************************
624 
625 
626 //*************************************************************************************************
628 template< typename MT1, typename MT2 >
629 struct ColumnExprTrait< SMatTDMatSubExpr<MT1,MT2> >
630 {
631  public:
632  //**********************************************************************************************
633  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
634  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
635  //**********************************************************************************************
636 };
638 //*************************************************************************************************
639 
640 } // namespace blaze
641 
642 #endif
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatTDMatSubExpr.h:117
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTDMatSubExpr.h:97
Header file for the subtraction trait.
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatTDMatSubExpr.h:123
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatTDMatSubExpr.h:96
void smpSubAssign(DenseMatrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:151
Header file for the IsSparseMatrix type trait.
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:197
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:79
Header file for the ColumnExprTrait class template.
MT2::ReturnType RN2
Return type of the right-hand side dense matrix expression.
Definition: SMatTDMatSubExpr.h:98
Header file for the IsColumnMajorMatrix type trait.
Header file for the sparse matrix SMP implementation.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2384
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:249
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTDMatSubExpr.h:95
Header file for the AddExprTrait class template.
Header file for the Computation base class.
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTDMatSubExpr.h:111
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatTDMatSubExpr.h:119
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:104
Constraint on the data type.
Constraint on the data type.
Constraint on the data type.
void smpAddAssign(DenseMatrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:121
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the IsTemporary type trait class.
Expression object for sparse matrix-transpose dense matrix subtractions.The SMatTDMatSubExpr class re...
Definition: Forward.h:98
SMatTDMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatTDMatSubExpr class.
Definition: SMatTDMatSubExpr.h:149
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: StorageOrder.h:161
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTDMatSubExpr.h:239
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: SMatTDMatSubExpr.h:240
Header file for the dense matrix SMP implementation.
Header file for the DenseMatrix base class.
void assign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the assignment of a matrix to a matrix.
Definition: Matrix.h:179
Header file for the MatMatSubExpr base class.
const DenseIterator< Type > operator+(const DenseIterator< Type > &it, ptrdiff_t inc)
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:556
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatTDMatSubExpr.h:232
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:78
Constraints on the storage order of matrix types.
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:103
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the IsDenseMatrix type trait.
SMatTDMatSubExpr< MT1, MT2 > This
Type of this SMatTDMatSubExpr instance.
Definition: SMatTDMatSubExpr.h:116
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTDMatSubExpr.h:165
void smpAssign(DenseMatrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:91
Header file for the SubmatrixExprTrait class template.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: StorageOrder.h:81
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2383
Header file for run time assertion macros.
void addAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the addition assignment of a matrix to a matrix.
Definition: Matrix.h:209
const DenseIterator< Type > operator-(const DenseIterator< Type > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:585
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatTDMatSubExpr.h:197
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTDMatSubExpr.h:118
void subAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the subtraction assignment of a matrix to matrix.
Definition: Matrix.h:239
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: SMatTDMatSubExpr.h:129
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTDMatSubExpr.h:126
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:283
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTDMatSubExpr.h:132
Header file for the IsRowMajorMatrix type trait.
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatTDMatSubExpr.h:219
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatTDMatSubExpr.h:177
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatTDMatSubExpr.h:120
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2379
size_t columns(const Matrix< MT, SO > &m)
Returns the current number of columns of the matrix.
Definition: Matrix.h:154
Header file for basic type definitions.
Base template for the SubTrait class.
Definition: SubTrait.h:141
RightOperand rightOperand() const
Returns the right-hand side transpose dense matrix operand.
Definition: SMatTDMatSubExpr.h:207
Header file for the SubExprTrait class template.
size_t rows(const Matrix< MT, SO > &m)
Returns the current number of rows of the matrix.
Definition: Matrix.h:138
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:79
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:87
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatTDMatSubExpr.h:187
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.