35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDVECMULTEXPR_H_ 100 template<
typename MT
102 class TSMatDVecMultExpr
103 :
public MatVecMultExpr< DenseVector< TSMatDVecMultExpr<MT,VT>, false > >
104 ,
private Computation
130 template<
typename T1 >
131 struct UseSMPAssign {
132 enum :
bool { value = ( evaluateMatrix || evaluateVector ) };
161 enum :
bool { simdEnabled =
false };
164 enum :
bool { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
165 !evaluateVector && VT::smpAssignable };
193 return mat_(index,index) *
vec_[index];
204 const size_t n (
mat_.columns() -
begin );
223 if( index >=
mat_.rows() ) {
226 return (*
this)[index];
235 inline size_t size() const noexcept {
266 template<
typename T >
267 inline bool canAlias(
const T* alias )
const noexcept {
268 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
278 template<
typename T >
279 inline bool isAliased(
const T* alias )
const noexcept {
280 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
290 return vec_.isAligned();
300 return (
size() > SMP_TSMATDVECMULT_THRESHOLD );
323 template<
typename VT2 >
332 if( rhs.mat_.columns() == 0UL )
return;
342 TSMatDVecMultExpr::selectAssignKernel( ~lhs, A, x );
361 template<
typename VT1
364 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
368 for(
size_t j=0UL; j<A.columns(); ++j )
373 for( ; element!=
end; ++element ) {
376 y[element->index()] = element->value() * x[j];
378 y[element->index()] += element->value() * x[j];
398 template<
typename VT2 >
428 template<
typename VT2 >
435 if( rhs.mat_.columns() == 0UL )
return;
445 TSMatDVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
464 template<
typename VT1
467 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
471 for(
size_t j=0UL; j<A.columns(); ++j )
476 for( ; element!=
end; ++element ) {
477 y[element->index()] += element->value() * x[j];
501 template<
typename VT2 >
508 if( rhs.mat_.columns() == 0UL )
return;
518 TSMatDVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
537 template<
typename VT1
540 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
544 for(
size_t j=0UL; j<A.columns(); ++j )
549 for( ; element!=
end; ++element ) {
550 y[element->index()] -= element->value() * x[j];
574 template<
typename VT2 >
586 multAssign( ~lhs, tmp );
608 template<
typename VT2 >
620 divAssign( ~lhs, tmp );
644 template<
typename VT2 >
654 if( rhs.mat_.columns() == 0UL )
return;
684 template<
typename VT2 >
717 template<
typename VT2 >
725 if( rhs.mat_.columns() == 0UL )
return;
759 template<
typename VT2 >
767 if( rhs.mat_.columns() == 0UL )
return;
801 template<
typename VT2 >
838 template<
typename VT2 >
896 template<
typename MT
926 template<
typename MT
929 inline decltype(
auto)
936 return trans( ~mat ) * (~vec);
973 template<
typename MT
975 inline decltype(
auto)
986 return tsmatdvecmult( ~mat, ~vec );
1001 template<
typename MT,
typename VT >
1002 struct Size< TSMatDVecMultExpr<MT,VT>, 0UL >
1003 :
public Size<MT,0UL>
1019 template<
typename MT,
typename VT >
1020 struct IsAligned< TSMatDVecMultExpr<MT,VT> >
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:329
#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:140
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatDVecMultExpr.h:306
Header file for auxiliary alias declarations.
Header file for the blaze::checked and blaze::unchecked instances.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:71
Expression object for transpose sparse matrix-dense vector multiplications.The TSMatDVecMultExpr clas...
Definition: Forward.h:163
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDVecMultExpr.h:279
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDVecMultExpr.h:245
Header file for basic type definitions.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSMatDVecMultExpr.h:188
#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:141
Header file for the IsDiagonal type trait.
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSMatDVecMultExpr.h:222
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatDVecMultExpr.h:299
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:364
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:588
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
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:87
IfTrue_< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side dense vector operand.
Definition: TSMatDVecMultExpr.h:156
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSMatDVecMultExpr.h:235
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:291
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:87
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:110
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.
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:307
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:71
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:289
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
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:3085
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:76
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:89
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:506
#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:87
#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:108
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:108
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:430
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:142
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:144
#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:147
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
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:131
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:255
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:153
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:816
#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:150
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatDVecMultExpr.h:267
TSMatDVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the TSMatDVecMultExpr class.
Definition: TSMatDVecMultExpr.h:174
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:789
CompositeType_< VT > VCT
Composite type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:111
Header file for the IsComputation type trait class.
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
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:143
ResultType_< VT > VRT
Result type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:109
Constraint on the data type.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:628
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.