35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDVECMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDVECMULTEXPR_H_
105 template<
typename MT
107 class TSMatDVecMultExpr :
public DenseVector< TSMatDVecMultExpr<MT,VT>, false >
108 ,
private MatVecMultExpr
109 ,
private Computation
135 template<
typename T1 >
136 struct UseSMPAssign {
137 enum :
bool { value = ( evaluateMatrix || evaluateVector ) };
166 enum :
bool { simdEnabled =
false };
169 enum :
bool { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
170 !evaluateVector && VT::smpAssignable };
198 return mat_(index,index) *
vec_[index];
208 const size_t n (
mat_.columns() -
begin );
225 inline ReturnType
at(
size_t index )
const {
226 if( index >=
mat_.rows() ) {
229 return (*
this)[index];
238 inline size_t size() const noexcept {
269 template<
typename T >
270 inline bool canAlias(
const T* alias )
const noexcept {
271 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
281 template<
typename T >
282 inline bool isAliased(
const T* alias )
const noexcept {
283 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
293 return vec_.isAligned();
303 return (
size() > SMP_TSMATDVECMULT_THRESHOLD );
326 template<
typename VT2 >
335 if( rhs.mat_.columns() == 0UL )
return;
337 LT A(
serial( rhs.mat_ ) );
338 RT x(
serial( rhs.vec_ ) );
345 TSMatDVecMultExpr::selectAssignKernel( ~lhs, A, x );
364 template<
typename VT1
367 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
371 for(
size_t j=0UL; j<A.columns(); ++j )
373 ConstIterator element( A.begin(j) );
374 const ConstIterator
end( A.end(j) );
376 for( ; element!=
end; ++element ) {
379 y[element->index()] = element->value() * x[j];
381 y[element->index()] += element->value() * x[j];
401 template<
typename VT2 >
402 friend inline void assign( SparseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
412 const ResultType tmp(
serial( rhs ) );
431 template<
typename VT2 >
432 friend inline void addAssign( DenseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
438 if( rhs.mat_.columns() == 0UL )
return;
440 LT A(
serial( rhs.mat_ ) );
441 RT x(
serial( rhs.vec_ ) );
448 TSMatDVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
467 template<
typename VT1
470 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
472 typedef ConstIterator_< RemoveReference_<MT1> >
ConstIterator;
474 for(
size_t j=0UL; j<A.columns(); ++j )
476 ConstIterator element( A.begin(j) );
477 const ConstIterator
end( A.end(j) );
479 for( ; element!=
end; ++element ) {
480 y[element->index()] += element->value() * x[j];
504 template<
typename VT2 >
505 friend inline void subAssign( DenseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
511 if( rhs.mat_.columns() == 0UL )
return;
513 LT A(
serial( rhs.mat_ ) );
514 RT x(
serial( rhs.vec_ ) );
521 TSMatDVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
540 template<
typename VT1
543 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
545 typedef ConstIterator_< RemoveReference_<MT1> >
ConstIterator;
547 for(
size_t j=0UL; j<A.columns(); ++j )
549 ConstIterator element( A.begin(j) );
550 const ConstIterator
end( A.end(j) );
552 for( ; element!=
end; ++element ) {
553 y[element->index()] -= element->value() * x[j];
577 template<
typename VT2 >
578 friend inline void multAssign( DenseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
588 const ResultType tmp(
serial( rhs ) );
589 multAssign( ~lhs, tmp );
611 template<
typename VT2 >
612 friend inline void divAssign( DenseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
622 const ResultType tmp(
serial( rhs ) );
623 divAssign( ~lhs, tmp );
647 template<
typename VT2 >
648 friend inline EnableIf_< UseSMPAssign<VT2> >
657 if( rhs.mat_.columns() == 0UL )
return;
687 template<
typename VT2 >
688 friend inline EnableIf_< UseSMPAssign<VT2> >
699 const ResultType tmp( rhs );
720 template<
typename VT2 >
721 friend inline EnableIf_< UseSMPAssign<VT2> >
728 if( rhs.mat_.columns() == 0UL )
return;
762 template<
typename VT2 >
763 friend inline EnableIf_< UseSMPAssign<VT2> >
770 if( rhs.mat_.columns() == 0UL )
return;
804 template<
typename VT2 >
805 friend inline EnableIf_< UseSMPAssign<VT2> >
816 const ResultType tmp( rhs );
841 template<
typename VT2 >
842 friend inline EnableIf_< UseSMPAssign<VT2> >
853 const ResultType tmp( rhs );
916 template<
typename T1
918 inline const DisableIf_< Or< IsSymmetric<T1>, IsMatMatMultExpr<T1> >, TSMatDVecMultExpr<T1,T2> >
955 template<
typename T1
957 inline const EnableIf_< IsSymmetric<T1>, MultExprTrait_<T1,T2> >
958 operator*(
const SparseMatrix<T1,true>& mat,
const DenseVector<T2,false>& vec )
968 return trans( ~mat ) * (~vec);
984 template<
typename MT,
typename VT >
1001 template<
typename MT,
typename VT >
1019 template<
typename MT,
typename VT,
bool AF >
1024 using Type = MultExprTrait_< SubmatrixExprTrait_<const MT,AF>
1025 , SubvectorExprTrait_<const VT,AF> >;
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatDVecMultExpr.h:309
Header file for auxiliary alias declarations.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:72
Expression object for transpose sparse matrix-dense vector multiplications.The TSMatDVecMultExpr clas...
Definition: Forward.h:142
Header file for the Rows type trait.
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:7800
Header file for basic type definitions.
ResultType_< MT > MRT
Result type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:113
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a column dense or sparse vector type...
Definition: ColumnVector.h:61
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the serial shim.
Header file for the IsDiagonal type trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatDVecMultExpr.h:149
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDVecMultExpr.h:282
TSMatDVecMultExpr< MT, VT > This
Type of this TSMatDVecMultExpr instance.
Definition: TSMatDVecMultExpr.h:144
BLAZE_ALWAYS_INLINE MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:188
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:533
If_< IsExpression< MT >, const MT, const MT & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:152
EnableIf_< IsDenseVector< VT1 > > smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:193
Header file for the DenseVector base class.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
IfTrue_< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side dense vector operand.
Definition: TSMatDVecMultExpr.h:161
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:245
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Header file for the RequiresEvaluation type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< 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:129
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSMatDVecMultExpr.h:193
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
RightOperand rightOperand() const noexcept
Returns the right-hand side dense vector operand.
Definition: TSMatDVecMultExpr.h:258
Constraint on the transpose flag of vector types.
Constraint on the data type.
RightOperand vec_
Right-hand side dense vector of the multiplication expression.
Definition: TSMatDVecMultExpr.h:310
Constraint on the data type.
Header file for the MultExprTrait class template.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
SubvectorExprTrait_< VT, unaligned > subvector(Vector< VT, TF > &vector, size_t index, size_t size)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:152
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatDVecMultExpr.h:147
Header file for the DisableIf class template.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TSMatDVecMultExpr.h:292
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
#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: ColumnMajorMatrix.h:61
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2647
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
Header file for the Or class template.
Header file for the IsMatMatMultExpr type trait class.
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:90
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:330
#define BLAZE_CONSTRAINT_MUST_NOT_BE_MATMATMULTEXPR_TYPE(T)
Constraint on the data type.In case the given data type T is a matrix/matrix multiplication expressio...
Definition: MatMatMultExpr.h:89
#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:60
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatDVecMultExpr.h:302
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATVECMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/vector ...
Definition: MatVecMultExpr.h:110
Constraint on the data type.
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:254
ResultType_< VT > VRT
Result type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:114
Header file for all forward declarations for expression class templates.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatDVecMultExpr.h:270
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT > >, RowExprTrait_< MT > > row(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific row of the given matrix.
Definition: Row.h:126
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
Header file for the SubmatrixExprTrait class template.
Header file for run time assertion macros.
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
EnableIf_< IsDenseVector< VT1 > > smpDivAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP division assignment of a vector to a dense vector.
Definition: DenseVector.h:222
IfTrue_< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatDVecMultExpr.h:158
CompositeType_< VT > VCT
Composite type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:116
Header file for the reset shim.
Header file for the isDefault shim.
Constraints on the storage order of matrix types.
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSMatDVecMultExpr.h:238
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSMatDVecMultExpr.h:225
Header file for the RemoveReference type trait.
TSMatDVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the TSMatDVecMultExpr class.
Definition: TSMatDVecMultExpr.h:179
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional vector type...
Definition: DenseVector.h:61
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDVecMultExpr.h:248
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatDVecMultExpr.h:146
If_< IsExpression< VT >, const VT, const VT & > RightOperand
Composite type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:155
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatDVecMultExpr.h:148
Header file for the IsComputation type trait class.
MultTrait_< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: TSMatDVecMultExpr.h:145
#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
Header file for the IntegralConstant class template.
Header file for the SubvectorExprTrait class template.
Constraint on the data type.
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
Header file for the MatVecMultExpr base class.
Constraint on the data type.
Header file for the IsResizable type trait.
Header file for the Size type trait.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#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:61
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
CompositeType_< MT > MCT
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:115