35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDMATSCHUREXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATDMATSCHUREXPR_H_ 100 template<
typename MT1
102 class SMatDMatSchurExpr
103 :
public SchurExpr< SparseMatrix< SMatDMatSchurExpr<MT1,MT2>, false > >
104 ,
private Computation
140 template<
typename VT >
143 enum :
bool { value = useAssign };
227 return Element( left_->value() * right_(row_,left_->index()), left_->index() );
247 return left_->value() * right_(row_,left_->index());
257 return left_->index();
268 return left_ == rhs.
left_;
279 return left_ != rhs.
left_;
290 return left_ - rhs.
left_;
305 enum :
bool { smpAssignable =
false };
346 if( i >=
lhs_.rows() ) {
349 if( j >=
lhs_.columns() ) {
383 inline size_t rows() const noexcept {
394 return lhs_.columns();
404 return lhs_.nonZeros();
415 return lhs_.nonZeros(i);
484 template<
typename T >
485 inline bool canAlias(
const T* alias )
const noexcept {
486 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
496 template<
typename T >
497 inline bool isAliased(
const T* alias )
const noexcept {
498 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
520 template<
typename MT
542 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
543 for( ConstIterator element=A.begin(i); element!=A.end(i); ++element )
544 (~lhs)(i,element->index()) = element->value() * B(i,element->index());
562 template<
typename MT >
584 (~lhs).reserve( A.nonZeros() );
587 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
588 for( ConstIterator element=A.begin(i); element!=A.end(i); ++element )
589 (~lhs).append( i, element->index(), element->value() * B(i,element->index()) );
590 (~lhs).finalize( i );
609 template<
typename MT >
630 const size_t m( rhs.rows() );
631 const size_t n( rhs.columns() );
634 std::vector<size_t> nonzeros( n, 0UL );
635 for(
size_t i=0UL; i<m; ++i ) {
636 const ConstIterator lend( A.end(i) );
637 for( ConstIterator l=A.begin(i); l!=lend; ++l ) {
638 ++nonzeros[l->index()];
643 for(
size_t j=0UL; j<n; ++j ) {
644 (~lhs).reserve( j, nonzeros[j] );
648 for(
size_t i=0UL; i<m; ++i ) {
649 for( ConstIterator element=A.begin(i); element!=A.end(i); ++element )
650 (~lhs).append( i, element->index(), element->value() * B(i,element->index()) );
668 template<
typename MT
690 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
691 for( ConstIterator element=A.begin(i); element!=A.end(i); ++element )
692 (~lhs)(i,element->index()) += element->value() * B(i,element->index());
714 template<
typename MT
736 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
737 for( ConstIterator element=A.begin(i); element!=A.end(i); ++element )
738 (~lhs)(i,element->index()) -= element->value() * B(i,element->index());
761 template<
typename MT
782 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
784 const ConstIterator
end( A.end(i) );
785 ConstIterator
begin( A.begin(i) );
790 for( ; j<index; ++j )
791 reset( (~lhs)(i,j) );
792 (~lhs)(i,index) *=
begin->
value() * B(i,index);
796 for( ; j<(~lhs).
columns(); ++j )
797 reset( (~lhs)(i,j) );
852 template<
typename MT
912 template<
typename MT1
943 template<
typename MT1
957 return IdentityMatrix< MultTrait_< ElementType_<MT1>, ElementType_<MT2> >,
false >( (~lhs).
rows() );
992 template<
typename MT1
994 inline decltype(
auto)
1003 return smatdmatschur( ~lhs, ~rhs );
1021 template<
typename MT1
1052 template<
typename MT1
1102 template<
typename MT1
1104 inline decltype(
auto)
1113 return smattdmatschur( ~lhs, ~rhs );
1128 template<
typename MT1,
typename MT2 >
1129 struct Rows< SMatDMatSchurExpr<MT1,MT2> >
1130 :
public Maximum< Rows<MT1>, Rows<MT2> >
1146 template<
typename MT1,
typename MT2 >
1147 struct Columns< SMatDMatSchurExpr<MT1,MT2> >
1148 :
public Maximum< Columns<MT1>, Columns<MT2> >
1164 template<
typename MT1,
typename MT2 >
1166 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1182 template<
typename MT1,
typename MT2 >
1184 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1200 template<
typename MT1,
typename MT2 >
1201 struct IsLower< SMatDMatSchurExpr<MT1,MT2> >
1202 :
public BoolConstant< Or< IsLower<MT1>, IsLower<MT2> >::value >
1218 template<
typename MT1,
typename MT2 >
1219 struct IsUniLower< SMatDMatSchurExpr<MT1,MT2> >
1220 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1236 template<
typename MT1,
typename MT2 >
1238 :
public BoolConstant< Or< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1254 template<
typename MT1,
typename MT2 >
1255 struct IsUpper< SMatDMatSchurExpr<MT1,MT2> >
1256 :
public BoolConstant< Or< IsUpper<MT1>, IsUpper<MT2> >::value >
1272 template<
typename MT1,
typename MT2 >
1273 struct IsUniUpper< SMatDMatSchurExpr<MT1,MT2> >
1274 :
public BoolConstant< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1290 template<
typename MT1,
typename MT2 >
1292 :
public BoolConstant< Or< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatDMatSchurExpr.h:463
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatDMatSchurExpr.h:154
#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
Pointer difference type of the Blaze library.
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: SMatDMatSchurExpr.h:473
Header file for auxiliary alias declarations.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDMatSchurExpr.h:383
Header file for the Schur product trait.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
Header file for the UNUSED_PARAMETER function template.
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatDMatSchurExpr.h:109
ConstIterator find(size_t i, size_t j) const
Searches for a specific matrix element.
Definition: SMatDMatSchurExpr.h:426
Header file for basic type definitions.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: SMatDMatSchurExpr.h:278
Header file for the serial shim.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDMatSchurExpr.h:345
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDMatSchurExpr.h:393
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
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two expression iterators.
Definition: SMatDMatSchurExpr.h:289
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: SMatDMatSchurExpr.h:267
SMatDMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatDMatSchurExpr class.
Definition: SMatDMatSchurExpr.h:314
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatDMatSchurExpr.h:108
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:560
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatDMatSchurExpr.h:112
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
Header file for the Computation base class.
ConstIterator_< RemoveReference_< LeftOperand > > LeftIterator
Iterator type of the sparse matrix expression.
Definition: SMatDMatSchurExpr.h:180
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 IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
size_t index() const
Access to the current index of the sparse element.
Definition: SMatDMatSchurExpr.h:256
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_SCHUREXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: SchurExpr.h:108
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
Header file for all forward declarations for sparse vectors and matrices.
RightOperand rhs_
Right-hand side dense matrix of the Schur product expression.
Definition: SMatDMatSchurExpr.h:505
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
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
MultExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatDMatSchurExpr.h:126
Header file for the SparseMatrix base class.
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
LeftIterator left_
Iterator over the elements of the left-hand side sparse matrix expression.
Definition: SMatDMatSchurExpr.h:296
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatDMatSchurExpr.h:163
Constraint on the data type.
Constraint on the data type.
Header file for the Maximum class template.
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:112
Header file for the MultExprTrait class template.
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
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Header file for the ValueIndexPair class.
Efficient implementation of an identity matrix.The IdentityMatrix class template is the representati...
Definition: Forward.h:49
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
size_t row_
The row index of the iterator.
Definition: SMatDMatSchurExpr.h:298
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
ReturnType value() const
Access to the current value of the sparse element.
Definition: SMatDMatSchurExpr.h:246
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
std::forward_iterator_tag IteratorCategory
The iterator category.
Definition: SMatDMatSchurExpr.h:182
Header file for the If class template.
Header file for the Or class template.
#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
Header file for the Columns type trait.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the IsLower type trait.
ConstIterator upperBound(size_t i, size_t j) const
Returns an iterator to the first index greater then the given index.
Definition: SMatDMatSchurExpr.h:452
typename SchurTrait< T1, T2 >::Type SchurTrait_
Auxiliary alias declaration for the SchurTrait class template.The SchurTrait_ alias declaration provi...
Definition: SchurTrait.h:167
LeftOperand lhs_
Left-hand side sparse matrix of the Schur product expression.
Definition: SMatDMatSchurExpr.h:504
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDMatSchurExpr.h:497
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
RightOperand right_
Right-hand side dense matrix expression.
Definition: SMatDMatSchurExpr.h:297
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: SMatDMatSchurExpr.h:166
const ConstIterator * operator->() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatDMatSchurExpr.h:236
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: SMatDMatSchurExpr.h:113
#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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatDMatSchurExpr.h:403
Header file for run time assertion macros.
ConstIterator(LeftIterator left, RightOperand right, size_t row)
Constructor for the ConstIterator class.
Definition: SMatDMatSchurExpr.h:203
Header file for the SchurExpr base class.
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDMatSchurExpr.h:152
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: SMatDMatSchurExpr.h:373
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatDMatSchurExpr.h:110
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: SMatDMatSchurExpr.h:111
#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_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDMatSchurExpr.h:153
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatDMatSchurExpr.h:157
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
ConstIterator & operator++()
Pre-increment operator.
Definition: SMatDMatSchurExpr.h:215
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatDMatSchurExpr.h:160
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
const Element operator*() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatDMatSchurExpr.h:226
#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
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::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
Iterator over the elements of the sparse matrix/dense matrix Schur product expression.
Definition: SMatDMatSchurExpr.h:172
Index-value-pair for sparse vectors and matrices.The ValueIndexPair class represents a single index-v...
Definition: ValueIndexPair.h:73
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatDMatSchurExpr.h:414
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDMatSchurExpr.h:485
Compile time logical and evaluation.The And alias declaration performs at compile time a logical and ...
Definition: And.h:76
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.
void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
Header file for the IsHermitian type trait.
IteratorCategory iterator_category
The iterator category.
Definition: SMatDMatSchurExpr.h:189
Expression object for sparse matrix-dense matrix Schur product.The SMatDMatSchurExpr class represents...
Definition: Forward.h:108
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: SMatDMatSchurExpr.h:362
SchurTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatDMatSchurExpr.h:151
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDMatSchurExpr.h:330
#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.
Constraint on the data type.
ConstIterator lowerBound(size_t i, size_t j) const
Returns an iterator to the first index not less then the given index.
Definition: SMatDMatSchurExpr.h:439