35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTDMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTDMATMULTEXPR_H_
99 template<
typename MT1
101 class TSMatTDMatMultExpr :
public DenseMatrix< TSMatTDMatMultExpr<MT1,MT2>, true >
102 ,
private MatMatMultExpr
103 ,
private Computation
140 enum { vectorizable = 0 };
170 if(
lhs_.columns() != 0UL ) {
172 for(
size_t k=1UL; k<
lhs_.columns(); ++k ) {
200 return rhs_.columns();
230 template<
typename T >
232 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
242 template<
typename T >
244 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
268 template<
typename MT
292 const size_t block( 64UL );
294 for(
size_t jj=0UL; jj<B.columns(); jj+=block ) {
295 const size_t jend( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
296 for(
size_t i=0UL; i<A.columns(); ++i ) {
297 const ConstIterator end( A.end(i) );
298 ConstIterator element( A.begin(i) );
299 for( ; element!=end; ++element ) {
300 for(
size_t j=jj; j<jend; ++j ) {
301 if(
isDefault( (~lhs)(element->index(),j) ) )
302 (~lhs)(element->index(),j) = element->value() * B(i,j);
304 (~lhs)(element->index(),j) += element->value() * B(i,j);
327 template<
typename MT
349 const size_t block( SO ? 64UL : 128UL );
351 for(
size_t jj=0UL; jj<B.columns(); jj+=block ) {
352 const size_t jend( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
353 for(
size_t i=0UL; i<A.rows(); ++i ) {
354 for(
size_t j=jj; j<jend; ++j ) {
355 reset( (~lhs)(i,j) );
358 for(
size_t i=0UL; i<A.columns(); ++i )
360 const ConstIterator end( A.end(i) );
361 ConstIterator element( A.begin(i) );
363 const size_t nonzeros( A.nonZeros(i) );
365 BLAZE_INTERNAL_ASSERT( ( nonzeros - ( nonzeros % 4UL ) ) == ( nonzeros &
size_t(-4) ),
"Invalid end calculation" );
366 const size_t kend( nonzeros &
size_t(-4) );
368 for(
size_t k=0UL; k<kend; k+=4UL ) {
369 const size_t i1( element->index() );
370 const ET1 v1( element->value() );
372 const size_t i2( element->index() );
373 const ET1 v2( element->value() );
375 const size_t i3( element->index() );
376 const ET1 v3( element->value() );
378 const size_t i4( element->index() );
379 const ET1 v4( element->value() );
382 for(
size_t j=jj; j<jend; ++j ) {
383 (~lhs)(i1,j) += v1 * B(i,j);
384 (~lhs)(i2,j) += v2 * B(i,j);
385 (~lhs)(i3,j) += v3 * B(i,j);
386 (~lhs)(i4,j) += v4 * B(i,j);
390 for( ; element!=end; ++element ) {
391 for(
size_t j=jj; j<jend; ++j ) {
392 (~lhs)(element->index(),j) += element->value() * B(i,j);
414 template<
typename MT
420 typedef typename SelectType< SO, ResultType, OppositeType >::Type TmpType;
432 const TmpType tmp( rhs );
451 template<
typename MT
472 const size_t block( SO ? 64UL : 128UL );
474 for(
size_t jj=0UL; jj<B.columns(); jj+=block ) {
475 const size_t jend( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
476 for(
size_t i=0UL; i<A.columns(); ++i )
478 const ConstIterator end( A.end(i) );
479 ConstIterator element( A.begin(i) );
481 const size_t nonzeros( A.nonZeros(i) );
483 BLAZE_INTERNAL_ASSERT( ( nonzeros - ( nonzeros % 4UL ) ) == ( nonzeros &
size_t(-4) ),
"Invalid end calculation" );
484 const size_t kend( nonzeros &
size_t(-4) );
486 for(
size_t k=0UL; k<kend; k+=4UL ) {
487 const size_t i1( element->index() );
488 const ET1 v1( element->value() );
490 const size_t i2( element->index() );
491 const ET1 v2( element->value() );
493 const size_t i3( element->index() );
494 const ET1 v3( element->value() );
496 const size_t i4( element->index() );
497 const ET1 v4( element->value() );
500 for(
size_t j=jj; j<jend; ++j ) {
501 (~lhs)(i1,j) += v1 * B(i,j);
502 (~lhs)(i2,j) += v2 * B(i,j);
503 (~lhs)(i3,j) += v3 * B(i,j);
504 (~lhs)(i4,j) += v4 * B(i,j);
508 for( ; element!=end; ++element ) {
509 for(
size_t j=jj; j<jend; ++j ) {
510 (~lhs)(element->index(),j) += element->value() * B(i,j);
536 template<
typename MT
557 const size_t block( SO ? 64UL : 128UL );
559 for(
size_t jj=0UL; jj<B.columns(); jj+=block ) {
560 const size_t jend( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
561 for(
size_t i=0UL; i<A.columns(); ++i )
563 const ConstIterator end( A.end(i) );
564 ConstIterator element( A.begin(i) );
566 const size_t nonzeros( A.nonZeros(i) );
568 BLAZE_INTERNAL_ASSERT( ( nonzeros - ( nonzeros % 4UL ) ) == ( nonzeros &
size_t(-4) ),
"Invalid end calculation" );
569 const size_t kend( nonzeros &
size_t(-4) );
571 for(
size_t k=0UL; k<kend; k+=4UL ) {
572 const size_t i1( element->index() );
573 const ET1 v1( element->value() );
575 const size_t i2( element->index() );
576 const ET1 v2( element->value() );
578 const size_t i3( element->index() );
579 const ET1 v3( element->value() );
581 const size_t i4( element->index() );
582 const ET1 v4( element->value() );
585 for(
size_t j=jj; j<jend; ++j ) {
586 (~lhs)(i1,j) -= v1 * B(i,j);
587 (~lhs)(i2,j) -= v2 * B(i,j);
588 (~lhs)(i3,j) -= v3 * B(i,j);
589 (~lhs)(i4,j) -= v4 * B(i,j);
593 for( ; element!=end; ++element ) {
594 for(
size_t j=jj; j<jend; ++j ) {
595 (~lhs)(element->index(),j) -= element->value() * B(i,j);
665 template<
typename T1
667 inline const TSMatTDMatMultExpr<T1,T2>
673 throw std::invalid_argument(
"Matrix sizes do not match" );
690 template<
typename MT1,
typename MT2,
typename VT >
691 struct TDMatDVecMultExprTrait< TSMatTDMatMultExpr<MT1,MT2>, VT >
695 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
696 IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
697 IsDenseVector<VT>::value && IsColumnVector<VT>::value
698 ,
typename TSMatDVecMultExprTrait< MT1, typename TDMatDVecMultExprTrait<MT2,VT>::Type >::Type
699 , INVALID_TYPE >::Type Type;
708 template<
typename MT1,
typename MT2,
typename VT >
709 struct TDMatSVecMultExprTrait< TSMatTDMatMultExpr<MT1,MT2>, VT >
713 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
714 IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
715 IsSparseVector<VT>::value && IsColumnVector<VT>::value
716 ,
typename TSMatDVecMultExprTrait< MT1, typename TDMatSVecMultExprTrait<MT2,VT>::Type >::Type
717 , INVALID_TYPE >::Type Type;
726 template<
typename VT,
typename MT1,
typename MT2 >
727 struct TDVecTDMatMultExprTrait< VT, TSMatTDMatMultExpr<MT1,MT2> >
731 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
732 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
733 IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
734 ,
typename TDVecTDMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
735 , INVALID_TYPE >::Type Type;
744 template<
typename VT,
typename MT1,
typename MT2 >
745 struct TSVecTDMatMultExprTrait< VT, TSMatTDMatMultExpr<MT1,MT2> >
749 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
750 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
751 IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
752 ,
typename TSVecTDMatMultExprTrait< typename TSVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
753 , INVALID_TYPE >::Type Type;
762 template<
typename MT1,
typename MT2 >
763 struct SubmatrixExprTrait< TSMatTDMatMultExpr<MT1,MT2> >
767 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1>::Type
768 ,
typename SubmatrixExprTrait<const MT2>::Type >::Type Type;
777 template<
typename MT1,
typename MT2 >
778 struct RowExprTrait< TSMatTDMatMultExpr<MT1,MT2> >
782 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
791 template<
typename MT1,
typename MT2 >
792 struct ColumnExprTrait< TSMatTDMatMultExpr<MT1,MT2> >
796 typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatTDMatMultExpr.h:199
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatTDMatMultExpr.h:189
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
Expression object for transpose sparse matrix-transpose dense matrix multiplications.The TSMatTDMatMultExpr class represents the compile time expression for multiplications between a column-major sparse matrix and a column-major dense matrix.
Definition: Forward.h:139
TSMatTDMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatTDMatMultExpr class.
Definition: TSMatTDMatMultExpr.h:149
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.
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTDMatMultExpr.h:209
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
MT2::ElementType ET2
Element type of the right-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:110
TSMatTDMatMultExpr< MT1, MT2 > This
Type of this TSMatTDMatMultExpr instance.
Definition: TSMatTDMatMultExpr.h:117
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:118
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
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:119
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:122
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:107
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.
#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
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.
Header file for the DenseMatrix base class.
Header file for the TSMatDVecMultExprTrait class template.
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
MT1::ElementType ET1
Element type of the left-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:109
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatTDMatMultExpr.h:231
#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
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatTDMatMultExpr.h:121
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:108
RightOperand rhs_
Right-hand side dense matrix of the multiplication expression.
Definition: TSMatTDMatMultExpr.h:251
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.
Header file for the IsDenseMatrix type trait.
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:111
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:126
Header file for the EnableIf class template.
RightOperand rightOperand() const
Returns the right-hand side transpose dense matrix operand.
Definition: TSMatTDMatMultExpr.h:219
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
Header file for run time assertion macros.
Utility type for generic codes.
Base template for the MultTrait class.
Definition: MultTrait.h:141
MT2::CompositeType CT2
Composite type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:112
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTDMatMultExpr.h:164
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.
SelectType< IsComputation< MT2 >::value, const RT2, CT2 >::Type RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: TSMatTDMatMultExpr.h:135
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< IsComputation< MT1 >::value, const RT1, CT1 >::Type LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatTDMatMultExpr.h:132
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.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTDMatMultExpr.h:243
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTDMatMultExpr.h:123
Header file for the IsComputation type trait class.
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
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.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:120
Header file for the IsColumnVector type trait.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:129
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.
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatTDMatMultExpr.h:250