35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSVECTSMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSVECTSMATMULTEXPR_H_ 96 class TSVecTSMatMultExpr
97 :
public TVecMatMultExpr< SparseVector< TSVecTSMatMultExpr<VT,MT>, true > >
124 template<
typename T1 >
192 if( index >=
mat_.columns() ) {
195 return (*
this)[index];
204 inline size_t size() const noexcept {
205 return mat_.columns();
215 return mat_.columns();
245 template<
typename T >
246 inline bool canAlias(
const T* alias )
const noexcept {
247 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
257 template<
typename T >
258 inline bool isAliased(
const T* alias )
const noexcept {
259 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
269 return (
size() > SMP_TSVECSMATMULT_THRESHOLD );
292 template<
typename VT1 >
304 if( x.nonZeros() == 0UL )
return;
316 TSVecTSMatMultExpr::selectAssignKernel( ~lhs, x, A );
335 template<
typename VT1
338 static inline void selectAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
340 const auto vend( x.end() );
342 for(
size_t j=0UL; j<A.columns(); ++j )
344 const auto mend ( A.end(j) );
345 auto melem( A.begin(j) );
347 if( melem == mend )
continue;
349 auto velem( x.begin() );
352 if( velem->index() < melem->index() ) {
354 if( velem == vend )
break;
356 else if( melem->index() < velem->index() ) {
358 if( melem == mend )
break;
361 y[j] = velem->value() * melem->value();
368 if( velem != vend && melem != mend )
371 if( velem->index() < melem->index() ) {
373 if( velem == vend )
break;
375 else if( melem->index() < velem->index() ) {
377 if( melem == mend )
break;
380 y[j] += velem->value() * melem->value();
382 if( velem == vend )
break;
384 if( melem == mend )
break;
406 template<
typename VT1 >
407 friend inline void assign( SparseVector<VT1,true>& lhs,
const TSVecTSMatMultExpr& rhs )
415 if( x.nonZeros() == 0UL )
return;
428 const auto vend( x.end() );
430 for(
size_t j=0UL; j<A.columns(); ++j )
432 const auto mend ( A.end(j) );
433 auto melem( A.begin(j) );
435 if( melem == mend )
continue;
437 auto velem( x.begin() );
442 if( velem->index() < melem->index() ) {
444 if( velem == vend )
break;
446 else if( melem->index() < velem->index() ) {
448 if( melem == mend )
break;
451 accu = velem->value() * melem->value();
458 if( velem != vend && melem != mend )
461 if( velem->index() < melem->index() ) {
463 if( velem == vend )
break;
465 else if( melem->index() < velem->index() ) {
467 if( melem == mend )
break;
470 accu += velem->value() * melem->value();
472 if( velem == vend )
break;
474 if( melem == mend )
break;
480 (~lhs).insert( j, accu );
499 template<
typename VT1 >
500 friend inline void addAssign( DenseVector<VT1,true>& lhs,
const TSVecTSMatMultExpr& rhs )
508 if( x.nonZeros() == 0UL )
return;
520 TSVecTSMatMultExpr::selectAddAssignKernel( ~lhs, x, A );
539 template<
typename VT1
542 static inline void selectAddAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
544 const auto vend( x.end() );
546 for(
size_t j=0UL; j<A.columns(); ++j )
548 const auto mend ( A.end(j) );
549 auto melem( A.begin(j) );
551 if( melem == mend )
continue;
553 auto velem( x.begin() );
556 if( velem->index() < melem->index() ) {
558 if( velem == vend )
break;
560 else if( melem->index() < velem->index() ) {
562 if( melem == mend )
break;
565 y[j] += velem->value() * melem->value();
567 if( velem == vend )
break;
569 if( melem == mend )
break;
594 template<
typename VT1 >
595 friend inline void subAssign( DenseVector<VT1,true>& lhs,
const TSVecTSMatMultExpr& rhs )
603 if( x.nonZeros() == 0UL )
return;
615 TSVecTSMatMultExpr::selectSubAssignKernel( ~lhs, x, A );
634 template<
typename VT1
637 static inline void selectSubAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
639 const auto vend( x.end() );
641 for(
size_t j=0UL; j<A.columns(); ++j )
643 const auto mend ( A.end(j) );
644 auto melem( A.begin(j) );
646 if( melem == mend )
continue;
648 auto velem( x.begin() );
651 if( velem->index() < melem->index() ) {
653 if( velem == vend )
break;
655 else if( melem->index() < velem->index() ) {
657 if( melem == mend )
break;
660 y[j] -= velem->value() * melem->value();
662 if( velem == vend )
break;
664 if( melem == mend )
break;
689 template<
typename VT1 >
690 friend inline void multAssign( DenseVector<VT1,true>& lhs,
const TSVecTSMatMultExpr& rhs )
701 multAssign( ~lhs, tmp );
725 template<
typename VT1 >
727 -> EnableIf_t< UseSMPAssign_v<VT1> >
738 if( x.nonZeros() == 0UL )
return;
774 template<
typename VT1 >
776 -> EnableIf_t< UseSMPAssign_v<VT1> >
784 if( x.nonZeros() == 0UL )
return;
820 template<
typename VT1 >
822 -> EnableIf_t< UseSMPAssign_v<VT1> >
830 if( x.nonZeros() == 0UL )
return;
866 template<
typename VT1 >
868 -> EnableIf_t< UseSMPAssign_v<VT1> >
925 template<
typename VT
927 , DisableIf_t< IsSymmetric_v<MT> || IsZero_v<MT> || IsZero_v<VT> >* =
nullptr >
928 inline const TSVecTSMatMultExpr<VT,MT>
929 tsvectsmatmult(
const SparseVector<VT,true>& vec,
const SparseMatrix<MT,true>& mat )
935 return TSVecTSMatMultExpr<VT,MT>( ~vec, ~mat );
955 template<
typename VT
957 , EnableIf_t< IsSymmetric_v<MT> &&
958 !( IsIdentity_v<MT> &&
959 IsSame_v< ElementType_t<VT>, ElementType_t<MT> > ) &&
960 !( IsZero_v<MT> || IsZero_v<VT> ) >* =
nullptr >
961 inline decltype(
auto)
962 tsvectsmatmult( const SparseVector<VT,true>& vec, const SparseMatrix<MT,true>& mat )
968 return (~vec) *
trans( ~mat );
988 template<
typename VT
990 , EnableIf_t< ( IsIdentity_v<MT> &&
991 IsSame_v< ElementType_t<VT>, ElementType_t<MT> > ) &&
992 !IsZero_v<VT> >* =
nullptr >
994 tsvectsmatmult(
const SparseVector<VT,true>& vec,
const SparseMatrix<MT,true>& mat )
1022 template<
typename VT
1024 , EnableIf_t< IsZero_v<MT> || IsZero_v<VT> >* =
nullptr >
1025 inline decltype(
auto)
1026 tsvectsmatmult( const SparseVector<VT,true>& vec, const SparseMatrix<MT,true>& mat )
1034 using ReturnType =
const MultTrait_t< ResultType_t<VT>, ResultType_t<MT> >;
1076 template<
typename VT
1078 inline decltype(
auto)
1085 if( (~vec).
size() != (~mat).
rows() ) {
1089 return tsvectsmatmult( ~vec, ~mat );
#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
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: TSVecTSMatMultExpr.h:214
Header file for auxiliary alias declarations.
decltype(auto) column(Matrix< MT, SO > &matrix, RCAs... args)
Creating a view on a specific column of the given matrix.
Definition: Column.h:133
Header file for the blaze::checked and blaze::unchecked instances.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSVecTSMatMultExpr.h:136
Header file for the UNUSED_PARAMETER function template.
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the right-hand side sparse matrix expression.
Definition: TSVecTSMatMultExpr.h:115
Header file for basic type definitions.
Header file for the SparseVector base class.
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias declaration for the If class template.The If_t alias declaration provides a convenien...
Definition: If.h:109
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
Header file for the serial shim.
If_t< IsExpression_v< VT >, const VT, const VT &> LeftOperand
Composite type of the left-hand side sparse vector expression.
Definition: TSVecTSMatMultExpr.h:140
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSVecTSMatMultExpr.h:268
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:591
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
ResultType_t< MT > MRT
Result type of the right-hand side sparse matrix expression.
Definition: TSVecTSMatMultExpr.h:103
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSVecTSMatMultExpr.h:134
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
Constraint on the data type.
Header file for the IsIdentity type trait.
Header file for the Computation base class.
Header file for the reset shim.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSVecTSMatMultExpr.h:234
Header file for the RequiresEvaluation type trait.
constexpr void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:137
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSVecTSMatMultExpr.h:258
Constraint on the data type.
CompositeType_t< VT > VCT
Composite type of the left-hand side sparse vector expression.
Definition: TSVecTSMatMultExpr.h:104
RightOperand mat_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSVecTSMatMultExpr.h:276
Header file for the DisableIf class template.
Header file for the multiplication trait.
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
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is not a zero vector or matrix type...
Definition: Zero.h:61
Expression object for sparse vector-sparse matrix multiplications.The TSVecTSMatMultExpr class repres...
Definition: Forward.h:185
#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
LeftOperand vec_
Left-hand side sparse vector of the multiplication expression.
Definition: TSVecTSMatMultExpr.h:275
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
#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
#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:83
If_t< IsExpression_v< MT >, const MT, const MT &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecTSMatMultExpr.h:143
Header file for the exception macros of the math module.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSVecTSMatMultExpr.h:246
ResultType_t< VT > VRT
Result type of the left-hand side sparse vector expression.
Definition: TSVecTSMatMultExpr.h:102
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Constraint on the data type.
Header file for the EnableIf class template.
If_t< evaluateVector, const VRT, VCT > LT
Type for the assignment of the left-hand side sparse vector operand.
Definition: TSVecTSMatMultExpr.h:146
typename MultTrait< T1, T2 >::Type MultTrait_t
Auxiliary alias declaration for the MultTrait class template.The MultTrait_t alias declaration provid...
Definition: MultTrait.h:240
#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
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSVecTSMatMultExpr.h:154
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSVecTSMatMultExpr.h:137
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
Header file for the IsZero type trait.
Constraint on the data type.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: TSVecTSMatMultExpr.h:224
#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.
constexpr size_t size(const Matrix< MT, SO > &matrix) noexcept
Returns the total number of elements of the matrix.
Definition: Matrix.h:530
MultTrait_t< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TSVecTSMatMultExpr.h:133
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
Header file for the TVecMatMultExpr base class.
Constraint on the data type.
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSVecTSMatMultExpr.h:135
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:808
#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
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSVecTSMatMultExpr.h:178
static constexpr bool evaluateVector
Compilation switch for the composite type of the left-hand side sparse vector expression.
Definition: TSVecTSMatMultExpr.h:110
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
#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:104
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
If_t< evaluateMatrix, const MRT, MCT > RT
Type for the assignment of the right-hand side sparse matrix operand.
Definition: TSVecTSMatMultExpr.h:149
Header file for the IsComputation type trait class.
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSVecTSMatMultExpr.h:204
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:138
#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
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:631
TSVecTSMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TSVecTSMatMultExpr class.
Definition: TSVecTSMatMultExpr.h:164
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is a zero vector or matrix type...
Definition: Zero.h:81
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
CompositeType_t< MT > MCT
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecTSMatMultExpr.h:105
#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
auto smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:191
#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
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSVecTSMatMultExpr.h:191
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.