35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDVECSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TDVECSMATMULTEXPR_H_
100 template<
typename VT
102 class TDVecSMatMultExpr :
public DenseVector< TDVecSMatMultExpr<VT,MT>, true >
103 ,
private TVecMatMultExpr
104 ,
private Computation
130 template<
typename T1 >
131 struct UseSMPAssign {
132 enum :
bool { value = ( evaluateVector || evaluateMatrix ) };
161 enum :
bool { simdEnabled =
false };
164 enum :
bool { smpAssignable = !evaluateVector && VT::smpAssignable &&
165 !evaluateMatrix && MT::smpAssignable };
190 return vec_[index] *
mat_(index,index);
217 inline ReturnType
at(
size_t index )
const {
218 if( index >=
mat_.columns() ) {
221 return (*
this)[index];
230 inline size_t size() const noexcept {
231 return mat_.columns();
261 template<
typename T >
262 inline bool canAlias(
const T* alias )
const noexcept {
263 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
273 template<
typename T >
274 inline bool isAliased(
const T* alias )
const noexcept {
275 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
285 return vec_.isAligned();
295 return (
size() > SMP_TDVECSMATMULT_THRESHOLD );
317 template<
typename VT2 >
326 if( rhs.mat_.rows() == 0UL )
return;
328 LT x(
serial( rhs.vec_ ) );
329 RT A(
serial( rhs.mat_ ) );
336 TDVecSMatMultExpr::selectAssignKernel( ~lhs, x, A );
354 template<
typename VT1
357 static inline void selectAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
361 for(
size_t i=0UL; i<x.size(); ++i )
363 const ConstIterator
end( A.end(i) );
364 ConstIterator element( A.begin(i) );
366 for( ; element!=
end; ++element ) {
369 y[element->index()] = x[i] * element->value();
371 y[element->index()] += x[i] * element->value();
390 template<
typename VT2 >
401 const ResultType tmp(
serial( rhs ) );
418 template<
typename VT2 >
425 if( rhs.mat_.rows() == 0UL ) {
429 LT x(
serial( rhs.vec_ ) );
430 RT A(
serial( rhs.mat_ ) );
437 TDVecSMatMultExpr::selectAddAssignKernel( ~lhs, x, A );
455 template<
typename VT1
458 static inline void selectAddAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
462 for(
size_t i=0UL; i<x.size(); ++i )
464 const ConstIterator
end( A.end(i) );
465 ConstIterator element( A.begin(i) );
467 for( ; element!=
end; ++element ) {
468 y[element->index()] += x[i] * element->value();
491 template<
typename VT2 >
498 if( rhs.mat_.rows() == 0UL ) {
502 LT x(
serial( rhs.vec_ ) );
503 RT A(
serial( rhs.mat_ ) );
510 TDVecSMatMultExpr::selectSubAssignKernel( ~lhs, x, A );
528 template<
typename VT1
531 static inline void selectSubAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
535 for(
size_t i=0UL; i<x.size(); ++i )
537 const ConstIterator
end( A.end(i) );
538 ConstIterator element( A.begin(i) );
540 for( ; element!=
end; ++element ) {
541 y[element->index()] -= x[i] * element->value();
564 template<
typename VT2 >
575 const ResultType tmp(
serial( rhs ) );
596 template<
typename VT2 >
607 const ResultType tmp(
serial( rhs ) );
630 template<
typename VT2 >
640 if( rhs.mat_.rows() == 0UL )
return;
668 template<
typename VT2 >
680 const ResultType tmp( rhs );
699 template<
typename VT2 >
707 if( rhs.mat_.rows() == 0UL ) {
741 template<
typename VT2 >
749 if( rhs.mat_.rows() == 0UL ) {
783 template<
typename VT2 >
795 const ResultType tmp( rhs );
818 template<
typename VT2 >
830 const ResultType tmp( rhs );
892 template<
typename T1
894 inline const DisableIf_< Or< IsSymmetric<T2>, IsMatMatMultExpr<T2> >, TDVecSMatMultExpr<T1,T2> >
899 if( (~vec).
size() != (~mat).
rows() ) {
931 template<
typename T1
933 inline const EnableIf_< IsSymmetric<T2>, MultExprTrait_<T1,T2> >
934 operator*(
const DenseVector<T1,true>& vec,
const SparseMatrix<T2,false>& mat )
940 if( (~vec).
size() != (~mat).
rows() ) {
944 return (~vec) *
trans( ~mat );
963 template<
typename T1
966 inline const EnableIf_< IsMatMatMultExpr<T2>, MultExprTrait_<T1,T2> >
988 template<
typename VT,
typename MT >
1005 template<
typename VT,
typename MT >
1023 template<
typename VT,
typename MT,
bool AF >
1028 using Type = MultExprTrait_< SubvectorExprTrait_<const VT,AF>
1029 , SubmatrixExprTrait_<const MT,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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDVecSMatMultExpr.h:274
Header file for auxiliary alias declarations.
friend EnableIf_< UseSMPAssign< VT2 > > smpDivAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP division assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( ...
Definition: TDVecSMatMultExpr.h:820
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:72
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: TDVecSMatMultExpr.h:240
Header file for basic type definitions.
Expression object for transpose dense vector-sparse matrix multiplications.The TDVecSMatMultExpr clas...
Definition: Forward.h:137
If_< IsExpression< VT >, const VT, const VT & > LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:147
CompositeType_< MT > MCT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:111
If_< IsExpression< MT >, const MT, const MT & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:150
Header file for the serial shim.
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
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TDVecSMatMultExpr.h:230
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
TDVecSMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TDVecSMatMultExpr class.
Definition: TDVecSMatMultExpr.h:171
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
TDVecSMatMultExpr< VT, MT > This
Type of this TDVecSMatMultExpr instance.
Definition: TDVecSMatMultExpr.h:139
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
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
friend void assign(SparseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Assignment of a transpose dense vector-sparse matrix multiplication to a sparse vector ( )...
Definition: TDVecSMatMultExpr.h:391
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
friend void divAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Division assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:597
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDVecSMatMultExpr.h:144
RightOperand mat_
Right-hand side sparse matrix of the multiplication expression.
Definition: TDVecSMatMultExpr.h:302
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT > >, ColumnExprTrait_< MT > > column(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific column of the given matrix.
Definition: Column.h:126
CompositeType_< VT > VCT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:110
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
LeftOperand vec_
Left-hand side dense vector of the multiplication expression.
Definition: TDVecSMatMultExpr.h:301
friend EnableIf_< UseSMPAssign< VT2 > > smpSubAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP subtraction assignment of a transpose dense vector-sparse matrix multiplication to a dense vector...
Definition: TDVecSMatMultExpr.h:743
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
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
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TDVecSMatMultExpr.h:185
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TDVecSMatMultExpr.h:294
Header file for the DisableIf class template.
friend void subAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Subtraction assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:492
Header file for the multiplication trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDVecSMatMultExpr.h:250
Header file for the IsSymmetric type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:141
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TDVecSMatMultExpr.h:217
friend void multAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Multiplication assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ...
Definition: TDVecSMatMultExpr.h:565
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2647
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
Header file for the Columns type trait.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
friend EnableIf_< UseSMPAssign< VT2 > > smpAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:632
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 IsAligned type trait.
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:90
IfTrue_< evaluateVector, const VRT, VCT > LT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:153
#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
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
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TDVecSMatMultExpr.h:284
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
ResultType_< VT > VRT
Result type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:108
#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.
#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: RowMajorMatrix.h:61
ResultType_< MT > MRT
Result type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:109
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
Header file for the reset shim.
Constraint on the data type.
Header file for the isDefault shim.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDVecSMatMultExpr.h:262
Header file for the TVecMatMultExpr base class.
Constraint on the data type.
friend void addAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Addition assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:419
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
Header file for the RemoveReference type trait.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:143
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDVecSMatMultExpr.h:142
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:314
friend void assign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:318
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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_TVECMATMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid vector/matrix ...
Definition: TVecMatMultExpr.h:110
friend EnableIf_< UseSMPAssign< VT2 > > smpMultAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP multiplication assignment of a transpose dense vector-sparse matrix multiplication to a dense vec...
Definition: TDVecSMatMultExpr.h:785
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Header file for the IsComputation type trait class.
friend EnableIf_< UseSMPAssign< VT2 > > smpAssign(SparseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP assignment of a transpose dense vector-sparse matrix multiplication to a sparse vector ( )...
Definition: TDVecSMatMultExpr.h:670
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:110
IfTrue_< evaluateMatrix, const MRT, MCT > RT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:156
#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.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a row dense or sparse vector type (i...
Definition: RowVector.h:61
Header file for the SubvectorExprTrait class template.
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
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.
MultTrait_< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:140
#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
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
friend EnableIf_< UseSMPAssign< VT2 > > smpAddAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Addition assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:701