35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATSVECMULTEXPR_H_ 94 class SMatSVecMultExpr
95 :
public MatVecMultExpr< SparseVector< SMatSVecMultExpr<MT,VT>, false > >
122 template<
typename T1 >
123 struct UseSMPAssign {
124 enum :
bool { value = ( evaluateMatrix || evaluateVector ) };
155 enum :
bool { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
156 !evaluateVector && VT::smpAssignable };
193 if( index >=
mat_.rows() ) {
196 return (*
this)[index];
205 inline size_t size() const noexcept {
246 template<
typename T >
247 inline bool canAlias(
const T* alias )
const noexcept {
248 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
258 template<
typename T >
259 inline bool isAliased(
const T* alias )
const noexcept {
260 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
270 return (
size() > SMP_SMATSVECMULT_THRESHOLD );
292 template<
typename VT1 >
304 if( x.nonZeros() == 0UL )
return;
316 SMatSVecMultExpr::selectAssignKernel( ~lhs, A, x );
335 template<
typename VT1
338 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
343 const VectorIterator vend( x.end() );
345 for(
size_t i=0UL; i<y.size(); ++i )
347 const MatrixIterator mend ( A.end(i) );
348 MatrixIterator melem( A.begin(i) );
350 if( melem == mend )
continue;
352 VectorIterator velem( x.begin() );
355 if( melem->index() < velem->index() ) {
357 if( melem == mend )
break;
359 else if( velem->index() < melem->index() ) {
361 if( velem == vend )
break;
364 y[i] = melem->value() * velem->value();
371 if( melem != mend && velem != vend )
374 if( melem->index() < velem->index() ) {
376 if( melem == mend )
break;
378 else if( velem->index() < melem->index() ) {
380 if( velem == vend )
break;
383 y[i] += melem->value() * velem->value();
385 if( melem == mend )
break;
387 if( velem == vend )
break;
408 template<
typename VT1 >
419 if( x.nonZeros() == 0UL )
return;
429 const VectorIterator vend( x.end() );
431 for(
size_t i=0UL; i<(~lhs).
size(); ++i )
433 const MatrixIterator mend ( A.end(i) );
434 MatrixIterator melem( A.begin(i) );
436 if( melem == mend )
continue;
438 VectorIterator velem( x.begin() );
443 if( melem->index() < velem->index() ) {
445 if( melem == mend )
break;
447 else if( velem->index() < melem->index() ) {
449 if( velem == vend )
break;
452 accu = melem->value() * velem->value();
459 if( melem != mend && velem != vend )
462 if( melem->index() < velem->index() ) {
464 if( melem == mend )
break;
466 else if( velem->index() < melem->index() ) {
468 if( velem == vend )
break;
471 accu += melem->value() * velem->value();
473 if( melem == mend )
break;
475 if( velem == vend )
break;
481 (~lhs).insert( i, accu );
499 template<
typename VT1 >
508 if( x.nonZeros() == 0UL )
return;
520 SMatSVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
539 template<
typename VT1
542 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
547 const VectorIterator vend( x.end() );
549 for(
size_t i=0UL; i<y.size(); ++i )
551 const MatrixIterator mend ( A.end(i) );
552 MatrixIterator melem( A.begin(i) );
554 if( melem == mend )
continue;
556 VectorIterator velem( x.begin() );
559 if( melem->index() < velem->index() ) {
561 if( melem == mend )
break;
563 else if( velem->index() < melem->index() ) {
565 if( velem == vend )
break;
568 y[i] += melem->value() * velem->value();
570 if( melem == mend )
break;
572 if( velem == vend )
break;
596 template<
typename VT1 >
605 if( x.nonZeros() == 0UL )
return;
617 SMatSVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
636 template<
typename VT1
639 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
644 const VectorIterator vend( x.end() );
646 for(
size_t i=0UL; i<y.size(); ++i )
648 const MatrixIterator mend ( A.end(i) );
649 MatrixIterator melem( A.begin(i) );
651 if( melem == mend )
continue;
653 VectorIterator velem( x.begin() );
656 if( melem->index() < velem->index() ) {
658 if( melem == mend )
break;
660 else if( velem->index() < melem->index() ) {
662 if( velem == vend )
break;
665 y[i] -= melem->value() * velem->value();
667 if( melem == mend )
break;
669 if( velem == vend )
break;
693 template<
typename VT1 >
705 multAssign( ~lhs, tmp );
728 template<
typename VT1 >
741 if( x.nonZeros() == 0UL )
return;
777 template<
typename VT1 >
787 if( x.nonZeros() == 0UL )
return;
823 template<
typename VT1 >
833 if( x.nonZeros() == 0UL )
return;
869 template<
typename VT1 >
927 template<
typename MT
957 template<
typename MT
960 inline decltype(
auto)
967 return trans( ~mat ) * (~vec);
1004 template<
typename MT
1006 inline decltype(
auto)
1017 return smatsvecmult( ~mat, ~vec );
1032 template<
typename MT,
typename VT >
1033 struct Size< SMatSVecMultExpr<MT,VT> >
#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
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatSVecMultExpr.h:276
Header file for the Rows type trait.
Header file for basic type definitions.
Header file for the SparseVector base class.
#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.
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: SMatSVecMultExpr.h:215
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: SMatSVecMultExpr.h:192
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
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:250
ResultType_< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:101
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSVecMultExpr.h:259
Header file for the Computation base class.
IfTrue_< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side sparse vector operand.
Definition: SMatSVecMultExpr.h:150
Constraints on the storage order of matrix types.
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
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.
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
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
Header file for the DisableIf class template.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatSVecMultExpr.h:135
Header file for the multiplication trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Expression object for sparse matrix-sparse vector multiplications.The SMatSVecMultExpr class represen...
Definition: Forward.h:120
Header file for the If class template.
If_< IsExpression< VT >, const VT, const VT &> RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:144
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
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
#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
MultTrait_< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: SMatSVecMultExpr.h:132
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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatSVecMultExpr.h:269
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: SMatSVecMultExpr.h:179
#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
#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
Header file for the exception macros of the math module.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSVecMultExpr.h:138
CompositeType_< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:103
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.
CompositeType_< MT > MCT
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.h:102
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSVecMultExpr.h:225
ResultType_< MT > MRT
Result type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.h:100
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSVecMultExpr.h:133
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: SMatSVecMultExpr.h:277
#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.
If_< IsExpression< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.h:141
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
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: SMatSVecMultExpr.h:205
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
Header file for the isDefault shim.
Constraint on the data type.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: SMatSVecMultExpr.h:235
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatSVecMultExpr.h:134
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSVecMultExpr.h:247
#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
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
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.
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
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
Constraint on the data type.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
SMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the SMatSVecMultExpr class.
Definition: SMatSVecMultExpr.h:165
Header file for the MatVecMultExpr base class.
Constraint on the data type.
IfTrue_< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: SMatSVecMultExpr.h:147
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.