35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSVECMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSVECMULTEXPR_H_
90 class SMatSVecMultExpr :
public SparseVector< SMatSVecMultExpr<MT,VT>, false >
91 ,
private MatVecMultExpr
118 template<
typename T1 >
119 struct UseSMPAssign {
120 enum { value = ( evaluateMatrix || evaluateVector ) };
151 enum { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
152 !evaluateVector && VT::smpAssignable };
184 if(
vec_.size() == 0UL )
194 MatrixIterator melem( A.begin(index) );
195 const MatrixIterator mend( A.end(index) );
196 if( melem == mend ) {
200 VectorIterator velem( x.begin() );
201 const VectorIterator vend( x.end() );
202 if( velem == vend ) {
207 if( melem->index() < velem->index() ) {
209 if( melem == mend )
break;
211 else if( velem->index() < melem->index() ) {
213 if( velem == vend )
break;
216 res = melem->value() * velem->value();
223 if( melem != mend && velem != vend )
226 if( melem->index() < velem->index() ) {
228 if( melem == mend )
break;
230 else if( velem->index() < melem->index() ) {
232 if( velem == vend )
break;
235 res += melem->value() * velem->value();
237 if( melem == mend )
break;
239 if( velem == vend )
break;
250 MatrixIterator melem( A.begin(index) );
251 const MatrixIterator mend( A.end(index) );
256 res = melem->value() *
vec_[melem->index()];
258 for( ; melem!=mend; ++melem ) {
259 res += melem->value() *
vec_[melem->index()];
268 VectorIterator velem( x.begin() );
269 const VectorIterator vend( x.end() );
274 res =
mat_(index,velem->index()) * velem->value();
276 for( ; velem!=vend; ++velem ) {
277 res +=
mat_(index,velem->index()) * velem->value();
284 for(
size_t j=1UL; j<
vec_.size(); ++j ) {
339 template<
typename T >
341 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
351 template<
typename T >
353 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
385 template<
typename VT1 >
397 if( x.nonZeros() == 0UL )
return;
409 SMatSVecMultExpr::selectAssignKernel( ~lhs, A, x );
428 template<
typename VT1
431 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
436 const VectorIterator vend( x.end() );
438 for(
size_t i=0UL; i<y.size(); ++i )
440 const MatrixIterator mend ( A.end(i) );
441 MatrixIterator melem( A.begin(i) );
443 if( melem == mend )
continue;
445 VectorIterator velem( x.begin() );
448 if( melem->index() < velem->index() ) {
450 if( melem == mend )
break;
452 else if( velem->index() < melem->index() ) {
454 if( velem == vend )
break;
457 y[i] = melem->value() * velem->value();
464 if( melem != mend && velem != vend )
467 if( melem->index() < velem->index() ) {
469 if( melem == mend )
break;
471 else if( velem->index() < melem->index() ) {
473 if( velem == vend )
break;
476 y[i] += melem->value() * velem->value();
478 if( melem == mend )
break;
480 if( velem == vend )
break;
501 template<
typename VT1 >
512 if( x.nonZeros() == 0UL )
return;
522 const VectorIterator vend( x.end() );
524 for(
size_t i=0UL; i<(~lhs).
size(); ++i )
526 const MatrixIterator mend ( A.end(i) );
527 MatrixIterator melem( A.begin(i) );
529 if( melem == mend )
continue;
531 VectorIterator velem( x.begin() );
536 if( melem->index() < velem->index() ) {
538 if( melem == mend )
break;
540 else if( velem->index() < melem->index() ) {
542 if( velem == vend )
break;
545 accu = melem->value() * velem->value();
552 if( melem != mend && velem != vend )
555 if( melem->index() < velem->index() ) {
557 if( melem == mend )
break;
559 else if( velem->index() < melem->index() ) {
561 if( velem == vend )
break;
564 accu += melem->value() * velem->value();
566 if( melem == mend )
break;
568 if( velem == vend )
break;
574 (~lhs).insert( i, accu );
592 template<
typename VT1 >
601 if( x.nonZeros() == 0UL )
return;
613 SMatSVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
632 template<
typename VT1
635 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
640 const VectorIterator vend( x.end() );
642 for(
size_t i=0UL; i<y.size(); ++i )
644 const MatrixIterator mend ( A.end(i) );
645 MatrixIterator melem( A.begin(i) );
647 if( melem == mend )
continue;
649 VectorIterator velem( x.begin() );
652 if( melem->index() < velem->index() ) {
654 if( melem == mend )
break;
656 else if( velem->index() < melem->index() ) {
658 if( velem == vend )
break;
661 y[i] += melem->value() * velem->value();
663 if( melem == mend )
break;
665 if( velem == vend )
break;
689 template<
typename VT1 >
701 if( x.nonZeros() == 0UL )
return;
713 SMatSVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
732 template<
typename VT1
735 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
740 const VectorIterator vend( x.end() );
742 for(
size_t i=0UL; i<y.size(); ++i )
744 const MatrixIterator mend ( A.end(i) );
745 MatrixIterator melem( A.begin(i) );
747 if( melem == mend )
continue;
749 VectorIterator velem( x.begin() );
752 if( melem->index() < velem->index() ) {
754 if( melem == mend )
break;
756 else if( velem->index() < melem->index() ) {
758 if( velem == vend )
break;
761 y[i] -= melem->value() * velem->value();
763 if( melem == mend )
break;
765 if( velem == vend )
break;
789 template<
typename VT1 >
824 template<
typename VT1 >
825 friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
837 if( x.nonZeros() == 0UL )
return;
873 template<
typename VT1 >
874 friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
883 if( x.nonZeros() == 0UL )
return;
919 template<
typename VT1 >
920 friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
932 if( x.nonZeros() == 0UL )
return;
968 template<
typename VT1 >
969 friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
1041 template<
typename T1
1043 inline const typename DisableIf< IsMatMatMultExpr<T1>, SMatSVecMultExpr<T1,T2> >::Type
1049 throw std::invalid_argument(
"Matrix and vector sizes do not match" );
1077 template<
typename T1
1080 inline const typename EnableIf< IsMatMatMultExpr<T1>, MultExprTrait<T1,T2> >::Type::Type
1085 return (~mat).leftOperand() * ( (~mat).
rightOperand() * vec );
1100 template<
typename MT,
typename VT,
bool AF >
1105 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT,AF>::Type, VT >::Type Type;
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: SMatSVecMultExpr.h:370
SelectType< evaluateMatrix, const MRT, MCT >::Type LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: SMatSVecMultExpr.h:143
const size_t SMP_SMATSVECMULT_THRESHOLD
SMP row-major sparse matrix/sparse vector multiplication threshold.This threshold specifies when a ro...
Definition: Thresholds.h:598
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:89
SMatSVecMultExpr(const MT &mat, const VT &vec)
Constructor for the SMatSVecMultExpr class.
Definition: SMatSVecMultExpr.h:161
void reset(DynamicMatrix< Type, SO > &m)
Resetting the given dense matrix.
Definition: DynamicMatrix.h:4599
const DMatDMatMultExpr< T1, T2 > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:4329
Header file for the SparseVector base class.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: SMatSVecMultExpr.h:175
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatSVecMultExpr.h:340
void smpSubAssign(DenseMatrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:152
#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: TransposeFlag.h:159
bool isDefault(const DynamicMatrix< Type, SO > &m)
Returns whether the given dense matrix is in default state.
Definition: DynamicMatrix.h:4642
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:199
void smpMultAssign(DenseVector< 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:179
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2408
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:251
SelectType< IsExpression< VT >::value, const VT, const VT & >::Type RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:140
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSVecMultExpr.h:134
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatSVecMultExpr.h:129
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:690
Header file for the Computation base class.
Header file for the RequiresEvaluation type trait.
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:107
Constraint on the data type.
size_t size() const
Returns the current size/dimension of the vector.
Definition: SMatSVecMultExpr.h:298
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatSVecMultExpr.h:131
Constraint on the data type.
Header file for the MultExprTrait class template.
void smpAddAssign(DenseMatrix< 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:122
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:90
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:253
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the DisableIf class template.
Header file for the multiplication trait.
Expression object for sparse matrix-sparse vector multiplications.The SMatSVecMultExpr class represen...
Definition: Forward.h:99
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2412
Header file for the IsMatMatMultExpr type trait class.
SelectType< IsExpression< MT >::value, const MT, const MT & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.h:137
MultTrait< MRT, VRT >::Type ResultType
Result type for expression template evaluations.
Definition: SMatSVecMultExpr.h:128
void assign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the assignment of a matrix to a matrix.
Definition: Matrix.h:271
MT::CompositeType MCT
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.h:98
VT::CompositeType VCT
Composite type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:99
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:79
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:78
Constraints on the storage order of matrix types.
void multAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the multiplication assignment of a matrix to a matrix.
Definition: Matrix.h:361
Header file for the SelectType class template.
Header file for all forward declarations for expression class templates.
Constraint on the data type.
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatSVecMultExpr.h:130
Header file for the EnableIf class template.
Header file for the serial shim.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatSVecMultExpr.h:352
void smpAssign(DenseMatrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:92
SMatSVecMultExpr< MT, VT > This
Type of this SMatSVecMultExpr instance.
Definition: SMatSVecMultExpr.h:127
#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: StorageOrder.h:81
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
Header file for run time assertion macros.
Base template for the MultTrait class.
Definition: MultTrait.h:141
void addAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the addition assignment of a matrix to a matrix.
Definition: Matrix.h:301
RightOperand rightOperand() const
Returns the right-hand side sparse vector operand.
Definition: SMatSVecMultExpr.h:328
Header file for the reset shim.
void subAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the subtraction assignment of a matrix to matrix.
Definition: Matrix.h:331
Header file for the isDefault shim.
MT::ResultType MRT
Result type of the left-hand side sparse matrix expression.
Definition: SMatSVecMultExpr.h:96
Header file for the RemoveReference type trait.
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: SMatSVecMultExpr.h:308
Header file for the IsComputation type trait class.
VT::ResultType VRT
Result type of the right-hand side sparse vector expression.
Definition: SMatSVecMultExpr.h:97
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:108
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2403
size_t columns(const Matrix< MT, SO > &m)
Returns the current number of columns of the matrix.
Definition: Matrix.h:170
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: SMatSVecMultExpr.h:362
Header file for basic type definitions.
Header file for the SubvectorExprTrait class template.
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatSVecMultExpr.h:369
Header file for the MatVecMultExpr base class.
SelectType< evaluateVector, const VRT, VCT >::Type RT
Type for the assignment of the right-hand side sparse vector operand.
Definition: SMatSVecMultExpr.h:146
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:79
Header file for the IsExpression type trait class.
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatSVecMultExpr.h:318
Header file for the FunctionTrace class.