35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSMATSCHUREXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATSMATSCHUREXPR_H_ 100 template<
typename MT1
103 :
public SchurExpr< SparseMatrix< DMatSMatSchurExpr<MT1,MT2>, false > >
140 template<
typename VT >
143 enum :
bool { value = useAssign };
227 return Element( left_(row_,right_->index()) * right_->value(), right_->index() );
247 return left_(row_,right_->index()) * right_->value();
257 return right_->index();
268 return right_ == rhs.
right_;
279 return right_ != rhs.
right_;
290 return right_ - rhs.
right_;
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 rhs_.nonZeros();
415 return rhs_.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=B.begin(i); element!=B.end(i); ++element )
544 (~lhs)(i,element->index()) = A(i,element->index()) * element->value();
562 template<
typename MT >
584 (~lhs).reserve( B.nonZeros() );
587 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
588 for( ConstIterator element=B.begin(i); element!=B.end(i); ++element )
589 (~lhs).append( i, element->index(), A(i,element->index()) * element->value() );
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( B.end(i) );
637 for( ConstIterator l=B.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<(~lhs).
rows(); ++i ) {
649 for( ConstIterator element=B.begin(i); element!=B.end(i); ++element )
650 (~lhs).append( i, element->index(), A(i,element->index()) * element->value() );
668 template<
typename MT
690 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
691 for( ConstIterator element=B.begin(i); element!=B.end(i); ++element )
692 (~lhs)(i,element->index()) += A(i,element->index()) * element->value();
714 template<
typename MT
736 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
737 for( ConstIterator element=B.begin(i); element!=B.end(i); ++element )
738 (~lhs)(i,element->index()) -= A(i,element->index()) * element->value();
761 template<
typename MT
782 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
784 const ConstIterator
end( B.end(i) );
785 ConstIterator
begin( B.begin(i) );
790 for( ; j<index; ++j )
791 reset( (~lhs)(i,j) );
792 (~lhs)(i,index) *= A(i,index) *
begin->
value();
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 dmatsmatschur( ~lhs, ~rhs );
1021 template<
typename MT1
1051 template<
typename MT1
1101 template<
typename MT1
1103 inline decltype(
auto)
1112 return tdmatsmatschur( ~lhs, ~rhs );
1127 template<
typename MT1,
typename MT2 >
1128 struct Rows< DMatSMatSchurExpr<MT1,MT2> >
1129 :
public Maximum< Rows<MT1>, Rows<MT2> >
1145 template<
typename MT1,
typename MT2 >
1146 struct Columns< DMatSMatSchurExpr<MT1,MT2> >
1147 :
public Maximum< Columns<MT1>, Columns<MT2> >
1163 template<
typename MT1,
typename MT2 >
1165 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1181 template<
typename MT1,
typename MT2 >
1183 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1199 template<
typename MT1,
typename MT2 >
1200 struct IsLower< DMatSMatSchurExpr<MT1,MT2> >
1201 :
public BoolConstant< Or< IsLower<MT1>, IsLower<MT2> >::value >
1217 template<
typename MT1,
typename MT2 >
1218 struct IsUniLower< DMatSMatSchurExpr<MT1,MT2> >
1219 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1235 template<
typename MT1,
typename MT2 >
1237 :
public BoolConstant< Or< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1253 template<
typename MT1,
typename MT2 >
1254 struct IsUpper< DMatSMatSchurExpr<MT1,MT2> >
1255 :
public BoolConstant< Or< IsUpper<MT1>, IsUpper<MT2> >::value >
1271 template<
typename MT1,
typename MT2 >
1272 struct IsUniUpper< DMatSMatSchurExpr<MT1,MT2> >
1273 :
public BoolConstant< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1289 template<
typename MT1,
typename MT2 >
1291 :
public BoolConstant< Or< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: DMatSMatSchurExpr.h:473
#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.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatSMatSchurExpr.h:160
Header file for auxiliary alias declarations.
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatSchurExpr.h:152
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
LeftOperand left_
Left-hand side dense matrix expression.
Definition: DMatSMatSchurExpr.h:296
Header file for basic type definitions.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatSMatSchurExpr.h:215
SchurTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatSMatSchurExpr.h:151
ConstIterator upperBound(size_t i, size_t j) const
Returns an iterator to the first index greater then the given index.
Definition: DMatSMatSchurExpr.h:452
Header file for the serial shim.
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
ConstIterator find(size_t i, size_t j) const
Searches for a specific matrix element.
Definition: DMatSMatSchurExpr.h:426
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatSchurExpr.h:153
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:560
RightIterator right_
Iterator over the elements of the right-hand side sparse matrix expression.
Definition: DMatSMatSchurExpr.h:297
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
Expression object for dense matrix-sparse matrix Schur product.The DMatSMatSchurExpr class represents...
Definition: DMatSMatSchurExpr.h:102
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
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: DMatSMatSchurExpr.h:414
const ConstIterator * operator->() const
Direct access to the sparse matrix element at the current iterator position.
Definition: DMatSMatSchurExpr.h:236
size_t index() const
Access to the current index of the sparse element.
Definition: DMatSMatSchurExpr.h:256
std::forward_iterator_tag IteratorCategory
The iterator category.
Definition: DMatSMatSchurExpr.h:182
Header file for the Computation base class.
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSMatSchurExpr.h:497
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
#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.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatSMatSchurExpr.h:157
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
MultExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatSMatSchurExpr.h:126
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatSchurExpr.h:111
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
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
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatSMatSchurExpr.h:373
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
Iterator over the elements of the dense matrix/sparse matrix Schur product expression.
Definition: DMatSMatSchurExpr.h:172
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.
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatSchurExpr.h:112
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.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatSchurExpr.h:163
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatSchurExpr.h:345
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSMatSchurExpr.h:485
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatSMatSchurExpr.h:267
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatSchurExpr.h:113
Header file for the IsLower type trait.
typename SchurTrait< T1, T2 >::Type SchurTrait_
Auxiliary alias declaration for the SchurTrait class template.The SchurTrait_ alias declaration provi...
Definition: SchurTrait.h:167
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatSMatSchurExpr.h:463
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatSchurExpr.h:109
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
LeftOperand lhs_
Left-hand side dense matrix of the Schur product expression.
Definition: DMatSMatSchurExpr.h:504
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
size_t row_
The row index of the iterator.
Definition: DMatSMatSchurExpr.h:298
IteratorCategory iterator_category
The iterator category.
Definition: DMatSMatSchurExpr.h:189
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two expression iterators.
Definition: DMatSMatSchurExpr.h:289
#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
const Element operator*() const
Direct access to the sparse matrix element at the current iterator position.
Definition: DMatSMatSchurExpr.h:226
Base class for all Schur product expression templates.The SchurExpr class serves as a tag for all exp...
Definition: SchurExpr.h:66
Header file for run time assertion macros.
DMatSMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatSMatSchurExpr class.
Definition: DMatSMatSchurExpr.h:314
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
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatSMatSchurExpr.h:110
#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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSMatSchurExpr.h:154
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatSMatSchurExpr.h:362
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatSMatSchurExpr.h:383
ConstIterator(LeftOperand left, RightIterator right, size_t row)
Constructor for the ConstIterator class.
Definition: DMatSMatSchurExpr.h:203
ConstIterator lowerBound(size_t i, size_t j) const
Returns an iterator to the first index not less then the given index.
Definition: DMatSMatSchurExpr.h:439
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
#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
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatSMatSchurExpr.h:278
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
RightOperand rhs_
Right-hand side sparse matrix of the Schur product expression.
Definition: DMatSMatSchurExpr.h:505
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: DMatSMatSchurExpr.h:403
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatSchurExpr.h:330
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
Index-value-pair for sparse vectors and matrices.The ValueIndexPair class represents a single index-v...
Definition: ValueIndexPair.h:73
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatSchurExpr.h:108
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
ReturnType value() const
Access to the current value of the sparse element.
Definition: DMatSMatSchurExpr.h:246
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
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.
#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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatSchurExpr.h:166
#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
ConstIterator_< RemoveReference_< RightOperand > > RightIterator
Iterator type of the sparse matrix expression.
Definition: DMatSMatSchurExpr.h:180
Header file for the IsExpression type trait class.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatSMatSchurExpr.h:393
Header file for the function trace functionality.
Constraint on the data type.