35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDVECMULTEXPR_H_ 101 template<
typename MT
103 class TSMatDVecMultExpr
104 :
public MatVecMultExpr< DenseVector< TSMatDVecMultExpr<MT,VT>, false > >
105 ,
private Computation
131 template<
typename T1 >
132 struct UseSMPAssign {
133 enum :
bool { value = ( evaluateMatrix || evaluateVector ) };
162 enum :
bool { simdEnabled =
false };
165 enum :
bool { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
166 !evaluateVector && VT::smpAssignable };
194 return mat_(index,index) *
vec_[index];
204 const size_t n (
mat_.columns() -
begin );
222 if( index >=
mat_.rows() ) {
225 return (*
this)[index];
234 inline size_t size() const noexcept {
265 template<
typename T >
266 inline bool canAlias(
const T* alias )
const noexcept {
267 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
277 template<
typename T >
278 inline bool isAliased(
const T* alias )
const noexcept {
279 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
289 return vec_.isAligned();
299 return (
size() > SMP_TSMATDVECMULT_THRESHOLD );
322 template<
typename VT2 >
331 if( rhs.mat_.columns() == 0UL )
return;
341 TSMatDVecMultExpr::selectAssignKernel( ~lhs, A, x );
360 template<
typename VT1
363 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
367 for(
size_t j=0UL; j<A.columns(); ++j )
372 for( ; element!=
end; ++element ) {
375 y[element->index()] = element->value() * x[j];
377 y[element->index()] += element->value() * x[j];
397 template<
typename VT2 >
427 template<
typename VT2 >
434 if( rhs.mat_.columns() == 0UL )
return;
444 TSMatDVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
463 template<
typename VT1
466 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
470 for(
size_t j=0UL; j<A.columns(); ++j )
475 for( ; element!=
end; ++element ) {
476 y[element->index()] += element->value() * x[j];
500 template<
typename VT2 >
507 if( rhs.mat_.columns() == 0UL )
return;
517 TSMatDVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
536 template<
typename VT1
539 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
543 for(
size_t j=0UL; j<A.columns(); ++j )
548 for( ; element!=
end; ++element ) {
549 y[element->index()] -= element->value() * x[j];
573 template<
typename VT2 >
585 multAssign( ~lhs, tmp );
607 template<
typename VT2 >
619 divAssign( ~lhs, tmp );
643 template<
typename VT2 >
653 if( rhs.mat_.columns() == 0UL )
return;
683 template<
typename VT2 >
716 template<
typename VT2 >
724 if( rhs.mat_.columns() == 0UL )
return;
758 template<
typename VT2 >
766 if( rhs.mat_.columns() == 0UL )
return;
800 template<
typename VT2 >
837 template<
typename VT2 >
895 template<
typename MT
925 template<
typename MT
928 inline decltype(
auto)
935 return trans( ~mat ) * (~vec);
972 template<
typename MT
974 inline decltype(
auto)
985 return tsmatdvecmult( ~mat, ~vec );
1000 template<
typename MT,
typename VT >
1001 struct Size< TSMatDVecMultExpr<MT,VT> >
1018 template<
typename MT,
typename VT >
1019 struct IsAligned< TSMatDVecMultExpr<MT,VT> >
#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
MultTrait_< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: TSMatDVecMultExpr.h:141
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatDVecMultExpr.h:305
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:163
Header file for the Rows type trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDVecMultExpr.h:278
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDVecMultExpr.h:244
Header file for basic type definitions.
Subvector< VT, AF > 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:322
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSMatDVecMultExpr.h:189
#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:164
Header file for the serial shim.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatDVecMultExpr.h:142
Header file for the IsDiagonal type trait.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSMatDVecMultExpr.h:221
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatDVecMultExpr.h:298
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:198
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:560
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
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
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:157
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSMatDVecMultExpr.h:234
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:250
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:343
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:133
CompositeType_< MT > MCT
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:111
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
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 transpose flag of vector types.
Row< MT > row(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific row of the given matrix.
Definition: Row.h:124
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
Constraint on the data type.
RightOperand vec_
Right-hand side dense vector of the multiplication expression.
Definition: TSMatDVecMultExpr.h:306
Constraint on the data type.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Header file for the DisableIf class template.
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TSMatDVecMultExpr.h:288
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
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:102
#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
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
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:340
#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:88
#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:109
Constraint on the data type.
Header file for the exception macros of the math module.
ResultType_< MT > MRT
Result type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:109
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:264
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatDVecMultExpr.h:143
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatDVecMultExpr.h:145
#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
If_< IsExpression< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:148
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:154
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
RightOperand rightOperand() const noexcept
Returns the right-hand side dense vector operand.
Definition: TSMatDVecMultExpr.h:254
Header file for the reset shim.
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
IfTrue_< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatDVecMultExpr.h:154
Header file for the isDefault shim.
Constraint on the data type.
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
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:224
If_< IsExpression< VT >, const VT, const VT &> RightOperand
Composite type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:151
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatDVecMultExpr.h:266
TSMatDVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the TSMatDVecMultExpr class.
Definition: TSMatDVecMultExpr.h:175
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
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:790
CompositeType_< VT > VCT
Composite type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:112
Header file for the IsComputation type trait class.
Compile time evaluation of the size of a vector.The Size type trait evaluates the size of the given v...
Definition: Size.h:74
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:130
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatDVecMultExpr.h:144
Header file for the IntegralConstant class template.
ResultType_< VT > VRT
Result type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:110
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
Constraint on the data type.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
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 function trace functionality.