35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATSVECMULTEXPR_H_ 100 template<
typename MT
103 :
public MatVecMultExpr< DenseVector< DMatSVecMultExpr<MT,VT>, false > >
132 enum :
bool { useAssign = evaluateMatrix || evaluateVector };
137 template<
typename VT2 >
140 enum :
bool { value = useAssign };
151 template<
typename T1 >
152 struct UseSMPAssign {
153 enum :
bool { value = useAssign };
184 enum :
bool { simdEnabled =
false };
187 enum :
bool { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
188 !evaluateVector && VT::smpAssignable };
216 return mat_(index,index) *
vec_[index];
226 const size_t n (
mat_.columns() -
begin );
244 if( index >=
mat_.rows() ) {
247 return (*
this)[index];
256 inline size_t size() const noexcept {
287 template<
typename T >
288 inline bool canAlias(
const T* alias )
const noexcept {
289 return mat_.isAliased( alias ) ||
vec_.isAliased( alias );
299 template<
typename T >
300 inline bool isAliased(
const T* alias )
const noexcept {
301 return mat_.isAliased( alias ) ||
vec_.isAliased( alias );
311 return mat_.isAligned();
321 return (
size() > SMP_DMATSVECMULT_THRESHOLD );
347 template<
typename VT1 >
357 if( x.nonZeros() == 0UL ) {
372 assign( ~lhs, A * x );
393 template<
typename VT1 >
427 template<
typename VT1 >
437 if( x.nonZeros() == 0UL )
return;
449 addAssign( ~lhs, A * x );
474 template<
typename VT1 >
484 if( x.nonZeros() == 0UL )
return;
496 subAssign( ~lhs, A * x );
521 template<
typename VT1 >
534 multAssign( ~lhs, tmp );
559 template<
typename VT1 >
572 divAssign( ~lhs, tmp );
596 template<
typename VT1 >
606 if( x.nonZeros() == 0UL ) {
641 template<
typename VT1 >
674 template<
typename VT1 >
684 if( x.nonZeros() == 0UL )
return;
720 template<
typename VT1 >
730 if( x.nonZeros() == 0UL )
return;
766 template<
typename VT1 >
803 template<
typename VT1 >
861 template<
typename MT
891 template<
typename MT
894 inline decltype(
auto)
901 return trans( ~mat ) * (~vec);
939 template<
typename MT
941 inline decltype(
auto)
952 return dmatsvecmult( ~mat, ~vec );
979 template<
typename MT
981 inline decltype(
auto)
986 return (~mat).leftOperand() * ( (~mat).
rightOperand() * vec );
1002 template<
typename MT,
typename VT >
1003 struct Size< DMatSVecMultExpr<MT,VT> >
1020 template<
typename MT,
typename VT >
1021 struct IsAligned< DMatSVecMultExpr<MT,VT> >
IfTrue_< useAssign, const ResultType, const DMatSVecMultExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatSVecMultExpr.h:167
#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.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:72
Header file for the Rows type trait.
IfTrue_< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:176
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 at(size_t index) const
Checked access to the vector elements.
Definition: DMatSVecMultExpr.h:243
#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.
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
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
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
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DMatSVecMultExpr.h:211
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatSVecMultExpr.h:310
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.
Header file for the MatMatMultExpr 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.
LeftOperand mat_
Left-hand side dense matrix of the multiplication expression.
Definition: DMatSVecMultExpr.h:327
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
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
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.
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
Expression object for dense matrix-sparse vector multiplications.The DMatSVecMultExpr class represent...
Definition: DMatSVecMultExpr.h:102
Header file for the DisableIf class template.
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.
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
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: DMatSVecMultExpr.h:328
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.
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional vector type...
Definition: SparseVector.h:61
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
ResultType_< MT > MRT
Result type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:108
Base class for all matrix/vector multiplication expression templates.The MatVecMultExpr class serves ...
Definition: MatVecMultExpr.h:67
#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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSVecMultExpr.h:162
#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.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: DMatSVecMultExpr.h:276
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
decltype(auto) operator*(const DenseMatrix< MT1, false > &lhs, const DenseMatrix< MT2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:8893
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Constraint on the data type.
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: DMatSVecMultExpr.h:256
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
MultTrait_< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: DMatSVecMultExpr.h:161
Base class for all matrix/matrix multiplication expression templates.The MatMatMultExpr class serves ...
Definition: MatMatMultExpr.h:67
#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
If_< IsExpression< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:170
Header file for run time assertion macros.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:266
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSVecMultExpr.h:288
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSVecMultExpr.h:163
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
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
Constraint on the data type.
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
CompositeType_< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:111
If_< IsExpression< VT >, const VT, const VT &> RightOperand
Composite type of the right-hand side dense vector expression.
Definition: DMatSVecMultExpr.h:173
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
#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
Header file for the IsComputation type trait class.
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
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
Header file for the IntegralConstant class template.
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
ResultType_< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:109
CompositeType_< MT > MCT
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:110
Constraint on the data type.
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 Size type trait.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatSVecMultExpr.h:320
#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
const ElementType ReturnType
Return type for expression template evaluations.
Definition: DMatSVecMultExpr.h:164
DMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the DMatSVecMultExpr class.
Definition: DMatSVecMultExpr.h:197
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
IfTrue_< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:179
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSVecMultExpr.h:300