35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSCHUREXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSCHUREXPR_H_ 97 template<
typename MT1
99 class TSMatTSMatSchurExpr
100 :
public SchurExpr< SparseMatrix< TSMatTSMatSchurExpr<MT1,MT2>, true > >
101 ,
private Computation
120 static constexpr
bool returnExpr = !IsTemporary_v<RN1> && !IsTemporary_v<RN2>;
133 template<
typename T1,
typename T2,
typename T3 >
134 static constexpr
bool UseSymmetricKernel_v =
135 ( IsRowMajorMatrix_v<T1> && IsSymmetric_v<T2> && IsSymmetric_v<T3> );
204 if( i >=
lhs_.rows() ) {
207 if( j >=
lhs_.columns() ) {
219 inline size_t rows() const noexcept {
230 return lhs_.columns();
281 template<
typename T >
282 inline bool canAlias(
const T* alias )
const noexcept {
283 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
293 template<
typename T >
294 inline bool isAliased(
const T* alias )
const noexcept {
295 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
318 template<
typename MT
338 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
340 const auto lend( A.end(j) );
341 const auto rend( B.end(j) );
343 auto l( A.begin(j) );
344 auto r( B.begin(j) );
346 for( ; l!=lend; ++l ) {
347 while( r!=rend && r->index() < l->index() ) ++r;
349 if( l->index() == r->index() ) {
350 (~lhs)(l->index(),j) = l->value() * r->value();
372 template<
typename MT >
393 const size_t m( rhs.rows() );
394 const size_t n( rhs.columns() );
397 std::vector<size_t> nonzeros( m, 0UL );
398 for(
size_t j=0UL; j<n; ++j )
400 const auto lend( A.end(j) );
401 const auto rend( B.end(j) );
403 auto l( A.begin(j) );
404 auto r( B.begin(j) );
406 for( ; l!=lend; ++l ) {
407 while( r!=rend && r->index() < l->index() ) ++r;
409 if( l->index() == r->index() ) {
410 ++nonzeros[l->index()];
417 for(
size_t i=0UL; i<m; ++i ) {
418 (~lhs).reserve( i, nonzeros[i] );
422 for(
size_t j=0UL; j<n; ++j )
424 const auto lend( A.end(j) );
425 const auto rend( B.end(j) );
427 auto l( A.begin(j) );
428 auto r( B.begin(j) );
430 for( ; l!=lend; ++l ) {
431 while( r!=rend && r->index() < l->index() ) ++r;
433 if( l->index() == r->index() ) {
434 (~lhs).append( l->index(), j, l->value() * r->value() );
456 template<
typename MT >
475 (~lhs).reserve(
min( A.nonZeros(), B.nonZeros() ) );
478 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
480 const auto lend( A.end(j) );
481 const auto rend( B.end(j) );
483 auto l( A.begin(j) );
484 auto r( B.begin(j) );
486 for( ; l!=lend; ++l ) {
487 while( r!=rend && r->index() < l->index() ) ++r;
489 if( l->index() == r->index() ) {
490 (~lhs).append( l->index(), j, l->value() * r->value() );
495 (~lhs).finalize( j );
514 template<
typename MT >
516 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
525 assign( ~lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
543 template<
typename MT
546 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
563 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
565 const auto lend( A.end(j) );
566 const auto rend( B.end(j) );
568 auto l( A.begin(j) );
569 auto r( B.begin(j) );
571 for( ; l!=lend; ++l ) {
572 while( r!=rend && r->index() < l->index() ) ++r;
574 if( l->index() == r->index() ) {
575 (~lhs)(l->index(),j) += l->value() * r->value();
597 template<
typename MT >
599 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
608 addAssign( ~lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
630 template<
typename MT
633 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
650 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
652 const auto lend( A.end(j) );
653 const auto rend( B.end(j) );
655 auto l( A.begin(j) );
656 auto r( B.begin(j) );
658 for( ; l!=lend; ++l ) {
659 while( r!=rend && r->index() < l->index() ) ++r;
661 if( l->index() == r->index() ) {
662 (~lhs)(l->index(),j) -= l->value() * r->value();
684 template<
typename MT >
686 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
695 subAssign( ~lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
717 template<
typename MT
720 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
737 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
739 const auto lend( A.end(j) );
740 const auto rend( B.end(j) );
742 auto l( A.begin(j) );
743 auto r( B.begin(j) );
747 for( ; l!=lend; ++l ) {
748 while( r!=rend && r->index() < l->index() ) ++r;
750 if( l->index() == r->index() ) {
751 for( ; i<l->index(); ++i )
752 reset( (~lhs)(i,j) );
753 (~lhs)(l->index(),j) *= l->value() * r->value();
759 for( ; i<(~lhs).
rows(); ++i )
760 reset( (~lhs)(i,j) );
779 template<
typename MT >
781 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
790 schurAssign( ~lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
844 template<
typename MT
906 template<
typename MT1
908 , DisableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
909 ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) ||
910 ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
911 ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
912 ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
913 ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
914 ( IsZero_v<MT1> || IsZero_v<MT2> ) >* =
nullptr >
915 inline const TSMatTSMatSchurExpr<MT1,MT2>
941 template<
typename MT1
943 , EnableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
944 ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) >* =
nullptr >
945 inline decltype(
auto)
946 tsmattsmatschur( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,true>& rhs )
955 using ReturnType =
const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
979 template<
typename MT1
981 , EnableIf_t< ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
982 ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
983 ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
984 ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
985 ( IsZero_v<MT1> || IsZero_v<MT2> ) >* =
nullptr >
986 inline decltype(
auto)
987 tsmattsmatschur(
const SparseMatrix<MT1,true>& lhs,
const SparseMatrix<MT2,true>& rhs )
996 using ReturnType =
const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
1033 template<
typename MT1
1035 inline decltype(
auto)
Constraint on the data type.
#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
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSchurExpr.h:152
Header file for auxiliary alias declarations.
Headerfile for the generic min algorithm.
#define BLAZE_CONSTRAINT_MUST_BE_IDENTITY_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not an identity matrix type...
Definition: Identity.h:60
SchurTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:143
Header file for the Schur product trait.
Header file for the UNUSED_PARAMETER function template.
Header file for the IsUniUpper type trait.
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:110
Header file for basic type definitions.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSchurExpr.h:239
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
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
Header file for the serial shim.
If_t< IsExpression_v< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:155
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:591
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSchurExpr.h:219
Constraint on the data type.
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:149
Header file for the Computation base class.
Expression object for transpose sparse matrix-transpose sparse matrix Schur product.The TSMatTSMatSchurExpr class represents the compile time expression for Schur products between two column-major sparse matrices.
Definition: Forward.h:180
const TSMatTSMatSchurExpr< MT1, MT2 > tsmattsmatschur(const SparseMatrix< MT1, true > &lhs, const SparseMatrix< MT2, true > &rhs)
Backend implementation of the Schur product between two column-major sparse matrices ( )...
Definition: TSMatTSMatSchurExpr.h:916
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:109
constexpr void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
Header file for the IsUniLower type trait.
#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:103
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 dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
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
Header file for all forward declarations for sparse vectors and matrices.
Header file for the SparseMatrix base class.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatTSMatSchurExpr.h:163
Constraint on the data type.
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.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
#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
decltype(auto) min(const DenseMatrix< MT1, SO1 > &lhs, const DenseMatrix< MT2, SO2 > &rhs)
Computes the componentwise minimum of the dense matrices lhs and rhs.
Definition: DMatDMatMapExpr.h:1147
#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
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:105
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSchurExpr.h:260
Header file for the IsLower type trait.
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:144
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSchurExpr.h:229
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSchurExpr.h:282
Header file for the exception macros of the math module.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSchurExpr.h:270
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
If_t< IsExpression_v< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:158
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
ReturnType_t< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:107
#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
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.
LeftOperand lhs_
Left-hand side sparse matrix of the Schur product expression.
Definition: TSMatTSMatSchurExpr.h:301
decltype(std::declval< RN1 >() *std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSchurExpr.h:123
ReturnType_t< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:108
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
TSMatTSMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatSchurExpr class.
Definition: TSMatTSMatSchurExpr.h:172
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSchurExpr.h:294
Header file for the SchurExpr base class.
typename SchurTrait< T1, T2 >::Type SchurTrait_t
Auxiliary alias declaration for the SchurTrait class template.The SchurTrait_t alias declaration prov...
Definition: SchurTrait.h:164
Header file for the IsZero type trait.
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:145
#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
Constraint on the data type.
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
auto smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:194
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
RightOperand rhs_
Right-hand side sparse matrix of the Schur product expression.
Definition: TSMatTSMatSchurExpr.h:302
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 IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
Header file for the IntegralConstant class template.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSchurExpr.h:188
Header file for the IsUpper type trait.
typename DisableIf< Condition, T >::Type DisableIf_t
Auxiliary type for the DisableIf class template.The DisableIf_t alias declaration provides a convenie...
Definition: DisableIf.h:138
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: TSMatTSMatSchurExpr.h:120
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatSchurExpr.h:250
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatSchurExpr.h:146
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSchurExpr.h:203
#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
#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
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:106
#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.