35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDVECSMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TDVECSMATMULTEXPR_H_ 97 class TDVecSMatMultExpr
98 :
public TVecMatMultExpr< DenseVector< TDVecSMatMultExpr<VT,MT>, true > >
125 template<
typename T1 >
126 struct UseSMPAssign {
127 enum :
bool { value = ( evaluateVector || evaluateMatrix ) };
156 enum :
bool { simdEnabled =
false };
159 enum :
bool { smpAssignable = !evaluateVector && VT::smpAssignable &&
160 !evaluateMatrix && MT::smpAssignable };
185 return vec_[index] *
mat_(index,index);
213 if( index >=
mat_.columns() ) {
216 return (*
this)[index];
225 inline size_t size() const noexcept {
226 return mat_.columns();
256 template<
typename T >
257 inline bool canAlias(
const T* alias )
const noexcept {
258 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
268 template<
typename T >
269 inline bool isAliased(
const T* alias )
const noexcept {
270 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
280 return vec_.isAligned();
290 return (
size() > SMP_TDVECSMATMULT_THRESHOLD );
312 template<
typename VT2 >
321 if( rhs.mat_.rows() == 0UL )
return;
331 TDVecSMatMultExpr::selectAssignKernel( ~lhs, x, A );
349 template<
typename VT1
352 static inline void selectAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
356 for(
size_t i=0UL; i<x.size(); ++i )
361 for( ; element!=
end; ++element ) {
364 y[element->index()] = x[i] * element->value();
366 y[element->index()] += x[i] * element->value();
385 template<
typename VT2 >
413 template<
typename VT2 >
420 if( rhs.mat_.rows() == 0UL ) {
432 TDVecSMatMultExpr::selectAddAssignKernel( ~lhs, x, A );
450 template<
typename VT1
453 static inline void selectAddAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
457 for(
size_t i=0UL; i<x.size(); ++i )
462 for( ; element!=
end; ++element ) {
463 y[element->index()] += x[i] * element->value();
486 template<
typename VT2 >
493 if( rhs.mat_.rows() == 0UL ) {
505 TDVecSMatMultExpr::selectSubAssignKernel( ~lhs, x, A );
523 template<
typename VT1
526 static inline void selectSubAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
530 for(
size_t i=0UL; i<x.size(); ++i )
535 for( ; element!=
end; ++element ) {
536 y[element->index()] -= x[i] * element->value();
559 template<
typename VT2 >
591 template<
typename VT2 >
625 template<
typename VT2 >
635 if( rhs.mat_.rows() == 0UL )
return;
663 template<
typename VT2 >
694 template<
typename VT2 >
702 if( rhs.mat_.rows() == 0UL ) {
736 template<
typename VT2 >
744 if( rhs.mat_.rows() == 0UL ) {
778 template<
typename VT2 >
813 template<
typename VT2 >
870 template<
typename VT
900 template<
typename VT
903 inline decltype(
auto)
910 return (~vec) *
trans( ~mat );
947 template<
typename VT
949 inline decltype(
auto)
956 if( (~vec).
size() != (~mat).
rows() ) {
960 return tdvecsmatmult( ~vec, ~mat );
975 template<
typename VT,
typename MT >
976 struct Size< TDVecSMatMultExpr<VT,MT> >
993 template<
typename VT,
typename MT >
994 struct IsAligned< TDVecSMatMultExpr<VT,MT> >
CompositeType_< VT > VCT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:105
#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
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:815
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:72
Header file for basic type definitions.
Expression object for transpose dense vector-sparse matrix multiplications.The TDVecSMatMultExpr clas...
Definition: Forward.h:157
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
Header file for the serial shim.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
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
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
TDVecSMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TDVecSMatMultExpr class.
Definition: TDVecSMatMultExpr.h:166
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:250
Column< MT > column(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific column of the given matrix.
Definition: Column.h:124
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.
IfTrue_< evaluateMatrix, const MRT, MCT > RT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:151
Header file for the RequiresEvaluation type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDVecSMatMultExpr.h:245
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:386
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
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:592
RightOperand mat_
Right-hand side sparse matrix of the multiplication expression.
Definition: TDVecSMatMultExpr.h:297
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
LeftOperand vec_
Left-hand side dense vector of the multiplication expression.
Definition: TDVecSMatMultExpr.h:296
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:738
If_< IsExpression< VT >, const VT, const VT &> LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:142
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
IfTrue_< evaluateVector, const VRT, VCT > LT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:148
MultTrait_< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:135
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.
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
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TDVecSMatMultExpr.h:279
Header file for the DisableIf class template.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TDVecSMatMultExpr.h:180
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:487
Header file for the multiplication 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.
If_< IsExpression< MT >, const MT, const MT &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:145
CompositeType_< MT > MCT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:106
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:560
#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.
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
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:627
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDVecSMatMultExpr.h:139
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
#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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDVecSMatMultExpr.h:137
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:264
Constraint on the data type.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:138
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#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
#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
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: TDVecSMatMultExpr.h:235
Header file for the reset shim.
Constraint on the data type.
#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
Header file for the isDefault shim.
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:414
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
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TDVecSMatMultExpr.h:225
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDVecSMatMultExpr.h:257
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:324
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:313
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:109
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:790
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:780
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:665
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
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TDVecSMatMultExpr.h:212
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:136
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
ResultType_< VT > VRT
Result type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:103
#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
ResultType_< MT > MRT
Result type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:104
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TDVecSMatMultExpr.h:289
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Constraint on the data type.
Header file for the IsResizable type trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDVecSMatMultExpr.h:269
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
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
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:696