35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATSVECMULTEXPR_H_ 96 class SMatSVecMultExpr
97 :
public MatVecMultExpr< SparseVector< SMatSVecMultExpr<MT,VT>, false > >
115 static constexpr
bool evaluateVector = ( RequiresEvaluation_v<VT> || IsComputation_v<VT> );
124 template<
typename T1 >
194 if( index >=
mat_.rows() ) {
197 return (*
this)[index];
206 inline size_t size() const noexcept {
247 template<
typename T >
248 inline bool canAlias(
const T* alias )
const noexcept {
249 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
259 template<
typename T >
260 inline bool isAliased(
const T* alias )
const noexcept {
261 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
271 return (
size() > SMP_SMATSVECMULT_THRESHOLD );
293 template<
typename VT1 >
305 if( x.nonZeros() == 0UL )
return;
317 SMatSVecMultExpr::selectAssignKernel( ~lhs, A, x );
336 template<
typename VT1
339 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
341 const auto vend( x.end() );
343 for(
size_t i=0UL; i<y.size(); ++i )
345 const auto mend ( A.end(i) );
346 auto melem( A.begin(i) );
348 if( melem == mend )
continue;
350 auto velem( x.begin() );
353 if( melem->index() < velem->index() ) {
355 if( melem == mend )
break;
357 else if( velem->index() < melem->index() ) {
359 if( velem == vend )
break;
362 y[i] = melem->value() * velem->value();
369 if( melem != mend && velem != vend )
372 if( melem->index() < velem->index() ) {
374 if( melem == mend )
break;
376 else if( velem->index() < melem->index() ) {
378 if( velem == vend )
break;
381 y[i] += melem->value() * velem->value();
383 if( melem == mend )
break;
385 if( velem == vend )
break;
406 template<
typename VT1 >
407 friend inline void assign( SparseVector<VT1,false>& lhs,
const SMatSVecMultExpr& rhs )
414 if( x.nonZeros() == 0UL )
return;
424 const auto vend( x.end() );
426 for(
size_t i=0UL; i<(~lhs).
size(); ++i )
428 const auto mend ( A.end(i) );
429 auto melem( A.begin(i) );
431 if( melem == mend )
continue;
433 auto velem( x.begin() );
438 if( melem->index() < velem->index() ) {
440 if( melem == mend )
break;
442 else if( velem->index() < melem->index() ) {
444 if( velem == vend )
break;
447 accu = melem->value() * velem->value();
454 if( melem != mend && velem != vend )
457 if( melem->index() < velem->index() ) {
459 if( melem == mend )
break;
461 else if( velem->index() < melem->index() ) {
463 if( velem == vend )
break;
466 accu += melem->value() * velem->value();
468 if( melem == mend )
break;
470 if( velem == vend )
break;
476 (~lhs).insert( i, accu );
494 template<
typename VT1 >
495 friend inline void addAssign( DenseVector<VT1,false>& lhs,
const SMatSVecMultExpr& rhs )
503 if( x.nonZeros() == 0UL )
return;
515 SMatSVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
534 template<
typename VT1
537 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
539 const auto vend( x.end() );
541 for(
size_t i=0UL; i<y.size(); ++i )
543 const auto mend ( A.end(i) );
544 auto melem( A.begin(i) );
546 if( melem == mend )
continue;
548 auto velem( x.begin() );
551 if( melem->index() < velem->index() ) {
553 if( melem == mend )
break;
555 else if( velem->index() < melem->index() ) {
557 if( velem == vend )
break;
560 y[i] += melem->value() * velem->value();
562 if( melem == mend )
break;
564 if( velem == vend )
break;
588 template<
typename VT1 >
589 friend inline void subAssign( DenseVector<VT1,false>& lhs,
const SMatSVecMultExpr& rhs )
597 if( x.nonZeros() == 0UL )
return;
609 SMatSVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
628 template<
typename VT1
631 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
633 const auto vend( x.end() );
635 for(
size_t i=0UL; i<y.size(); ++i )
637 const auto mend ( A.end(i) );
638 auto melem( A.begin(i) );
640 if( melem == mend )
continue;
642 auto velem( x.begin() );
645 if( melem->index() < velem->index() ) {
647 if( melem == mend )
break;
649 else if( velem->index() < melem->index() ) {
651 if( velem == vend )
break;
654 y[i] -= melem->value() * velem->value();
656 if( melem == mend )
break;
658 if( velem == vend )
break;
682 template<
typename VT1 >
683 friend inline void multAssign( DenseVector<VT1,false>& lhs,
const SMatSVecMultExpr& rhs )
694 multAssign( ~lhs, tmp );
717 template<
typename VT1 >
719 -> EnableIf_t< UseSMPAssign_v<VT1> >
730 if( x.nonZeros() == 0UL )
return;
766 template<
typename VT1 >
768 -> EnableIf_t< UseSMPAssign_v<VT1> >
776 if( x.nonZeros() == 0UL )
return;
812 template<
typename VT1 >
814 -> EnableIf_t< UseSMPAssign_v<VT1> >
822 if( x.nonZeros() == 0UL )
return;
858 template<
typename VT1 >
860 -> EnableIf_t< UseSMPAssign_v<VT1> >
917 template<
typename MT
919 , DisableIf_t< IsSymmetric_v<MT> ||
920 ( IsIdentity_v<MT> &&
921 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) ||
922 ( IsZero_v<MT> || IsZero_v<VT> ) >* =
nullptr >
923 inline const SMatSVecMultExpr<MT,VT>
924 smatsvecmult(
const SparseMatrix<MT,false>& mat,
const SparseVector<VT,false>& vec )
930 return SMatSVecMultExpr<MT,VT>( ~mat, ~vec );
950 template<
typename MT
952 , EnableIf_t< IsSymmetric_v<MT> &&
953 !( IsIdentity_v<MT> &&
954 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) &&
955 !( IsZero_v<MT> || IsZero_v<VT> ) >* =
nullptr >
956 inline decltype(
auto)
957 smatsvecmult( const SparseMatrix<MT,false>& mat, const SparseVector<VT,false>& vec )
963 return trans( ~mat ) * (~vec);
983 template<
typename MT
985 , EnableIf_t< ( IsIdentity_v<MT> &&
986 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) &&
987 !IsZero_v<VT> >* =
nullptr >
989 smatsvecmult(
const SparseMatrix<MT,false>& mat,
const SparseVector<VT,false>& vec )
1016 template<
typename MT
1018 , EnableIf_t< IsZero_v<MT> || IsZero_v<VT> >* =
nullptr >
1019 inline decltype(
auto)
1020 smatsvecmult( const SparseMatrix<MT,false>& mat, const SparseVector<VT,false>& vec )
1028 using ReturnType =
const MultTrait_t< ResultType_t<MT>, ResultType_t<VT> >;
1070 template<
typename MT
1072 inline decltype(
auto)
1083 return smatsvecmult( ~mat, ~vec );
#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.
Header file for the blaze::checked and blaze::unchecked instances.
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatSVecMultExpr.h:277
Header file for the UNUSED_PARAMETER function template.
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
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: SMatSVecMultExpr.h:156
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
#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
Header file for the serial shim.
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: SMatSVecMultExpr.h:216
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: SMatSVecMultExpr.h:193
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
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSVecMultExpr.h:260
Header file for the Computation base class.
Header file for the reset shim.
CompositeType_t< MT > MCT
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.h:104
Constraints on the storage order of matrix types.
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
Constraint on the transpose flag of vector types.
Constraint on the data type.
ResultType_t< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:103
Header file for the DisableIf class template.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatSVecMultExpr.h:136
Header file for the multiplication trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
If_t< IsExpression_v< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.h:142
Expression object for sparse matrix-sparse vector multiplications.The SMatSVecMultExpr class represen...
Definition: Forward.h:128
Header file for the If class template.
#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
#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
CompositeType_t< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:105
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: SMatSVecMultExpr.h:135
MultTrait_t< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: SMatSVecMultExpr.h:133
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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatSVecMultExpr.h:270
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: SMatSVecMultExpr.h:180
#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
#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:104
Header file for the exception macros of the math module.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSVecMultExpr.h:139
ResultType_t< MT > MRT
Result type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSVecMultExpr.h:226
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
If_t< IsExpression_v< VT >, const VT, const VT &> RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:145
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: SMatSVecMultExpr.h:278
#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
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
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
If_t< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: SMatSVecMultExpr.h:148
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:133
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: SMatSVecMultExpr.h:206
Header file for the IsZero type trait.
#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
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSVecMultExpr.h:134
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
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
Constraint on the data type.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: SMatSVecMultExpr.h:236
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSVecMultExpr.h:248
#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
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
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
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:138
Constraint on the data type.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:631
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.h:110
If_t< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side sparse vector operand.
Definition: SMatSVecMultExpr.h:151
SMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the SMatSVecMultExpr class.
Definition: SMatSVecMultExpr.h:166
Header file for the MatVecMultExpr base class.
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.
#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
static constexpr bool evaluateVector
Compilation switch for the composite type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:115
#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.