35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDMATMULTEXPR_H_
104 template<
typename MT1
106 class TSMatDMatMultExpr :
public DenseMatrix< TSMatDMatMultExpr<MT1,MT2>, true >
107 ,
private MatMatMultExpr
108 ,
private Computation
145 enum { vectorizable = 0 };
175 if(
lhs_.columns() != 0UL ) {
177 for(
size_t k=1UL; k<
lhs_.columns(); ++k ) {
205 return rhs_.columns();
235 template<
typename T >
237 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
247 template<
typename T >
249 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
273 template<
typename MT
297 const size_t block( SO ? 8UL : 256UL );
299 for(
size_t jj=0UL; jj<B.columns(); jj+=block ) {
300 const size_t jend( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
301 for(
size_t i=0UL; i<A.columns(); ++i ) {
302 const ConstIterator end( A.end(i) );
303 ConstIterator element( A.begin(i) );
304 for( ; element!=end; ++element ) {
305 for(
size_t j=jj; j<jend; ++j ) {
306 if(
isDefault( (~lhs)(element->index(),j) ) )
307 (~lhs)(element->index(),j) = element->value() * B(i,j);
309 (~lhs)(element->index(),j) += element->value() * B(i,j);
332 template<
typename MT
354 const size_t block( SO ? 8UL : 256UL );
356 for(
size_t jj=0UL; jj<B.columns(); jj+=block ) {
357 const size_t jend( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
358 for(
size_t i=0UL; i<A.rows(); ++i ) {
359 for(
size_t j=jj; j<jend; ++j ) {
360 reset( (~lhs)(i,j) );
363 for(
size_t i=0UL; i<A.columns(); ++i )
365 const ConstIterator end( A.end(i) );
366 ConstIterator element( A.begin(i) );
368 const size_t nonzeros( A.nonZeros(i) );
370 BLAZE_INTERNAL_ASSERT( ( nonzeros - ( nonzeros % 4UL ) ) == ( nonzeros &
size_t(-4) ),
"Invalid end calculation" );
371 const size_t kend( nonzeros &
size_t(-4) );
373 for(
size_t k=0UL; k<kend; k+=4UL ) {
374 const size_t i1( element->index() );
375 const ET1 v1( element->value() );
377 const size_t i2( element->index() );
378 const ET1 v2( element->value() );
380 const size_t i3( element->index() );
381 const ET1 v3( element->value() );
383 const size_t i4( element->index() );
384 const ET1 v4( element->value() );
387 for(
size_t j=jj; j<jend; ++j ) {
388 (~lhs)(i1,j) += v1 * B(i,j);
389 (~lhs)(i2,j) += v2 * B(i,j);
390 (~lhs)(i3,j) += v3 * B(i,j);
391 (~lhs)(i4,j) += v4 * B(i,j);
395 for( ; element!=end; ++element ) {
396 for(
size_t j=jj; j<jend; ++j ) {
397 (~lhs)(element->index(),j) += element->value() * B(i,j);
418 template<
typename MT
424 typedef typename SelectType< SO, ResultType, OppositeType >::Type TmpType;
436 const TmpType tmp( rhs );
455 template<
typename MT
476 const size_t block( SO ? 8UL : 256UL );
478 for(
size_t jj=0UL; jj<B.columns(); jj+=block ) {
479 const size_t jend( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
480 for(
size_t i=0UL; i<A.columns(); ++i )
482 const ConstIterator end( A.end(i) );
483 ConstIterator element( A.begin(i) );
485 const size_t nonzeros( A.nonZeros(i) );
487 BLAZE_INTERNAL_ASSERT( ( nonzeros - ( nonzeros % 4UL ) ) == ( nonzeros &
size_t(-4) ),
"Invalid end calculation" );
488 const size_t kend( nonzeros &
size_t(-4) );
490 for(
size_t k=0UL; k<kend; k+=4UL ) {
491 const size_t i1( element->index() );
492 const ET1 v1( element->value() );
494 const size_t i2( element->index() );
495 const ET1 v2( element->value() );
497 const size_t i3( element->index() );
498 const ET1 v3( element->value() );
500 const size_t i4( element->index() );
501 const ET1 v4( element->value() );
504 for(
size_t j=jj; j<jend; ++j ) {
505 (~lhs)(i1,j) += v1 * B(i,j);
506 (~lhs)(i2,j) += v2 * B(i,j);
507 (~lhs)(i3,j) += v3 * B(i,j);
508 (~lhs)(i4,j) += v4 * B(i,j);
512 for( ; element!=end; ++element ) {
513 for(
size_t j=jj; j<jend; ++j ) {
514 (~lhs)(element->index(),j) += element->value() * B(i,j);
540 template<
typename MT
561 const size_t block( SO ? 8UL : 256UL );
563 for(
size_t jj=0UL; jj<B.columns(); jj+=block ) {
564 const size_t jend( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
565 for(
size_t i=0UL; i<A.columns(); ++i )
567 const ConstIterator end( A.end(i) );
568 ConstIterator element( A.begin(i) );
570 const size_t nonzeros( A.nonZeros(i) );
572 BLAZE_INTERNAL_ASSERT( ( nonzeros - ( nonzeros % 4UL ) ) == ( nonzeros &
size_t(-4) ),
"Invalid end calculation" );
573 const size_t kend( nonzeros &
size_t(-4) );
575 for(
size_t k=0UL; k<kend; k+=4UL ) {
576 const size_t i1( element->index() );
577 const ET1 v1( element->value() );
579 const size_t i2( element->index() );
580 const ET1 v2( element->value() );
582 const size_t i3( element->index() );
583 const ET1 v3( element->value() );
585 const size_t i4( element->index() );
586 const ET1 v4( element->value() );
589 for(
size_t j=jj; j<jend; ++j ) {
590 (~lhs)(i1,j) -= v1 * B(i,j);
591 (~lhs)(i2,j) -= v2 * B(i,j);
592 (~lhs)(i3,j) -= v3 * B(i,j);
593 (~lhs)(i4,j) -= v4 * B(i,j);
597 for( ; element!=end; ++element ) {
598 for(
size_t j=jj; j<jend; ++j ) {
599 (~lhs)(element->index(),j) -= element->value() * B(i,j);
671 template<
typename T1
673 inline const TSMatDMatMultExpr<T1,T2>
679 throw std::invalid_argument(
"Matrix sizes do not match" );
696 template<
typename MT1,
typename MT2,
typename VT >
697 struct TDMatDVecMultExprTrait< TSMatDMatMultExpr<MT1,MT2>, VT >
701 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
702 IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
703 IsDenseVector<VT>::value && IsColumnVector<VT>::value
704 ,
typename TSMatDVecMultExprTrait< MT1, typename DMatDVecMultExprTrait<MT2,VT>::Type >::Type
705 , INVALID_TYPE >::Type Type;
714 template<
typename MT1,
typename MT2,
typename VT >
715 struct TDMatSVecMultExprTrait< TSMatDMatMultExpr<MT1,MT2>, VT >
719 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
720 IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
721 IsSparseVector<VT>::value && IsColumnVector<VT>::value
722 ,
typename TSMatDVecMultExprTrait< MT1, typename DMatSVecMultExprTrait<MT2,VT>::Type >::Type
723 , INVALID_TYPE >::Type Type;
732 template<
typename VT,
typename MT1,
typename MT2 >
733 struct TDVecTDMatMultExprTrait< VT, TSMatDMatMultExpr<MT1,MT2> >
737 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
738 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
739 IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
740 ,
typename TDVecDMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
741 , INVALID_TYPE >::Type Type;
750 template<
typename VT,
typename MT1,
typename MT2 >
751 struct TSVecTDMatMultExprTrait< VT, TSMatDMatMultExpr<MT1,MT2> >
755 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
756 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
757 IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
758 ,
typename TDVecDMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
759 , INVALID_TYPE >::Type Type;
768 template<
typename MT1,
typename MT2 >
769 struct SubmatrixExprTrait< TSMatDMatMultExpr<MT1,MT2> >
773 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1>::Type
774 ,
typename SubmatrixExprTrait<const MT2>::Type >::Type Type;
783 template<
typename MT1,
typename MT2 >
784 struct RowExprTrait< TSMatDMatMultExpr<MT1,MT2> >
788 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
797 template<
typename MT1,
typename MT2 >
798 struct ColumnExprTrait< TSMatDMatMultExpr<MT1,MT2> >
802 typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatDMatMultExpr.h:124
void reset(DynamicMatrix< Type, SO > &m)
Resetting the given dense matrix.
Definition: DynamicMatrix.h:4512
const DMatDMatMultExpr< T1, T2 > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:3703
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatDMatMultExpr.h:123
Header file for the IsSparseMatrix type trait.
bool isDefault(const DynamicMatrix< Type, SO > &m)
Returns whether the given dense matrix is in default state.
Definition: DynamicMatrix.h:4555
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:196
#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.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatDMatMultExpr.h:204
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatDMatMultExpr.h:236
TSMatDMatMultExpr< MT1, MT2 > This
Type of this TSMatDMatMultExpr instance.
Definition: TSMatDMatMultExpr.h:122
Header file for the IsColumnMajorMatrix type trait.
Header file for the TSVecTSMatMultExprTrait class template.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2375
Header file for the IsRowVector type trait.
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:248
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDMatMultExpr.h:214
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatDMatMultExpr.h:125
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
SelectType< IsComputation< MT2 >::value, const RT2, CT2 >::Type RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: TSMatDMatMultExpr.h:140
SelectType< IsComputation< MT1 >::value, const RT1, CT1 >::Type LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatDMatMultExpr.h:137
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatDMatMultExpr.h:116
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
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatDMatMultExpr.h:255
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDMatMultExpr.h:248
MT1::ElementType ET1
Element type of the left-hand side dense matrix expression.
Definition: TSMatDMatMultExpr.h:114
Constraint on the data type.
Constraint on the data type.
Header file for the MultExprTrait class template.
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 DisableIf class template.
Header file for the multiplication trait.
RightOperand rhs_
Right-hand side dense matrix of the multiplication expression.
Definition: TSMatDMatMultExpr.h:256
MT2::CompositeType CT2
Composite type of the right-hand side dense matrix expression.
Definition: TSMatDMatMultExpr.h:117
#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
RightOperand rightOperand() const
Returns the right-hand side dense matrix operand.
Definition: TSMatDMatMultExpr.h:224
Header file for the TSVecTDMatMultExprTrait class template.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2379
Header file for the TDMatSVecMultExprTrait class template.
Header file for the TDVecTSMatMultExprTrait class template.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatDMatMultExpr.h:112
Header file for the DenseMatrix base class.
Header file for the TSMatDVecMultExprTrait class template.
TSMatDMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatDMatMultExpr class.
Definition: TSMatDMatMultExpr.h:154
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatDMatMultExpr.h:169
Header file for the DMatDVecMultExprTrait class template.
#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
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: TSMatDMatMultExpr.h:113
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: TSMatDMatMultExpr.h:134
Constraints on the storage order of matrix types.
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:2373
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatDMatMultExpr.h:131
Header file for the IsDenseMatrix type trait.
Header file for the EnableIf class template.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatDMatMultExpr.h:128
Header file for the IsSparseVector type trait.
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
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatDMatMultExpr.h:127
Header file for run time assertion macros.
Utility type for generic codes.
Base template for the MultTrait class.
Definition: MultTrait.h:141
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
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
Header file for the reset shim.
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
Header file for the RemoveReference type trait.
Substitution Failure Is Not An Error (SFINAE) class.The DisableIf class template is an auxiliary tool...
Definition: DisableIf.h:184
#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
Header file for the IsDenseVector type trait.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatDMatMultExpr.h:194
MT2::ElementType ET2
Element type of the right-hand side sparse matrix expression.
Definition: TSMatDMatMultExpr.h:115
Header file for the IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
Expression object for transpose sparse matrix-dense matrix multiplications.The TSMatDMatMultExpr clas...
Definition: Forward.h:133
Header file for the TDVecDMatMultExprTrait class template.
Header file for the TDMatDVecMultExprTrait class template.
#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
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2370
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatDMatMultExpr.h:126
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.
Header file for the TSVecDMatMultExprTrait class template.
Header file for the DMatSVecMultExprTrait class template.
Header file for the IsColumnVector type trait.
Header file for the IsResizable type trait.
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
Header file for the TDVecTDMatMultExprTrait class template.
#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
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.