35#ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSCHUREXPR_H_
36#define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSCHUREXPR_H_
98 :
public SchurExpr< SparseMatrix< TSMatTSMatSchurExpr<MT1,MT2>, true > >
118 static constexpr bool returnExpr = !IsTemporary_v<RN1> && !IsTemporary_v<RN2>;
131 template<
typename T1,
typename T2,
typename T3 >
132 static constexpr bool UseSymmetricKernel_v =
133 ( IsRowMajorMatrix_v<T1> && IsSymmetric_v<T2> && IsSymmetric_v<T3> );
206 if( i >=
lhs_.rows() ) {
209 if( j >=
lhs_.columns() ) {
221 inline size_t rows() const noexcept {
232 return lhs_.columns();
283 template<
typename T >
284 inline bool canAlias(
const T* alias )
const noexcept {
285 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
295 template<
typename T >
296 inline bool isAliased(
const T* alias )
const noexcept {
297 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
320 template<
typename MT
340 for(
size_t j=0UL; j<(*lhs).columns(); ++j )
342 const auto lend( A.end(j) );
343 const auto rend( B.end(j) );
345 auto l( A.begin(j) );
346 auto r( B.begin(j) );
348 for( ; l!=lend; ++l ) {
349 while( r!=rend && r->index() < l->index() ) ++r;
351 if( l->index() == r->index() ) {
352 (*lhs)(l->index(),j) = l->value() * r->value();
374 template<
typename MT >
395 const size_t m( rhs.rows() );
396 const size_t n( rhs.columns() );
399 std::vector<size_t> nonzeros( m, 0UL );
400 for(
size_t j=0UL; j<n; ++j )
402 const auto lend( A.end(j) );
403 const auto rend( B.end(j) );
405 auto l( A.begin(j) );
406 auto r( B.begin(j) );
408 for( ; l!=lend; ++l ) {
409 while( r!=rend && r->index() < l->index() ) ++r;
411 if( l->index() == r->index() ) {
412 ++nonzeros[l->index()];
419 for(
size_t i=0UL; i<m; ++i ) {
420 (*lhs).reserve( i, nonzeros[i] );
424 for(
size_t j=0UL; j<n; ++j )
426 const auto lend( A.end(j) );
427 const auto rend( B.end(j) );
429 auto l( A.begin(j) );
430 auto r( B.begin(j) );
432 for( ; l!=lend; ++l ) {
433 while( r!=rend && r->index() < l->index() ) ++r;
435 if( l->index() == r->index() ) {
436 (*lhs).append( l->index(), j, l->value() * r->value() );
458 template<
typename MT >
477 (*lhs).reserve(
min( A.nonZeros(), B.nonZeros() ) );
480 for(
size_t j=0UL; j<(*lhs).columns(); ++j )
482 const auto lend( A.end(j) );
483 const auto rend( B.end(j) );
485 auto l( A.begin(j) );
486 auto r( B.begin(j) );
488 for( ; l!=lend; ++l ) {
489 while( r!=rend && r->index() < l->index() ) ++r;
491 if( l->index() == r->index() ) {
492 (*lhs).append( l->index(), j, l->value() * r->value() );
497 (*lhs).finalize( j );
516 template<
typename MT >
518 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
527 assign( *lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
545 template<
typename MT
548 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
565 for(
size_t j=0UL; j<(*lhs).columns(); ++j )
567 const auto lend( A.end(j) );
568 const auto rend( B.end(j) );
570 auto l( A.begin(j) );
571 auto r( B.begin(j) );
573 for( ; l!=lend; ++l ) {
574 while( r!=rend && r->index() < l->index() ) ++r;
576 if( l->index() == r->index() ) {
577 (*lhs)(l->index(),j) += l->value() * r->value();
599 template<
typename MT >
601 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
610 addAssign( *lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
632 template<
typename MT
635 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
652 for(
size_t j=0UL; j<(*lhs).columns(); ++j )
654 const auto lend( A.end(j) );
655 const auto rend( B.end(j) );
657 auto l( A.begin(j) );
658 auto r( B.begin(j) );
660 for( ; l!=lend; ++l ) {
661 while( r!=rend && r->index() < l->index() ) ++r;
663 if( l->index() == r->index() ) {
664 (*lhs)(l->index(),j) -= l->value() * r->value();
686 template<
typename MT >
688 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
697 subAssign( *lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
719 template<
typename MT
722 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
739 for(
size_t j=0UL; j<(*lhs).columns(); ++j )
741 const auto lend( A.end(j) );
742 const auto rend( B.end(j) );
744 auto l( A.begin(j) );
745 auto r( B.begin(j) );
749 for( ; l!=lend; ++l ) {
750 while( r!=rend && r->index() < l->index() ) ++r;
752 if( l->index() == r->index() ) {
753 for( ; i<l->index(); ++i )
754 reset( (*lhs)(i,j) );
755 (*lhs)(l->index(),j) *= l->value() * r->value();
761 for( ; i<(*lhs).rows(); ++i )
762 reset( (*lhs)(i,j) );
781 template<
typename MT >
783 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
792 schurAssign( *lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
846 template<
typename MT
908template<
typename MT1
910 ,
DisableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
911 ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) ||
912 ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
913 ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
914 ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
915 ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
916 ( IsZero_v<MT1> || IsZero_v<MT2> ) >* =
nullptr >
917inline const TSMatTSMatSchurExpr<MT1,MT2>
943template<
typename MT1
945 ,
EnableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
946 ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) >* =
nullptr >
948 tsmattsmatschur(
const SparseMatrix<MT1,true>& lhs,
const SparseMatrix<MT2,true>& rhs )
957 using ReturnType =
const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
962 return ReturnType( (*lhs).rows() );
981template<
typename MT1
983 ,
EnableIf_t< ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
984 ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
985 ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
986 ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
987 ( IsZero_v<MT1> || IsZero_v<MT2> ) >* =
nullptr >
989 tsmattsmatschur(
const SparseMatrix<MT1,true>& lhs,
const SparseMatrix<MT2,true>& rhs )
998 using ReturnType =
const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
1003 return ReturnType( (*lhs).rows(), (*lhs).columns() );
1035template<
typename MT1
1037inline decltype(
auto)
1042 if( (*lhs).rows() != (*rhs).rows() || (*lhs).columns() != (*rhs).columns() ) {
Header file for auxiliary alias declarations.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.
Definition: Aliases.h:110
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.
Definition: Aliases.h:470
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.
Definition: Aliases.h:450
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.
Definition: Aliases.h:190
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.
Definition: Aliases.h:310
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.
Definition: Aliases.h:550
Header file for run time assertion macros.
Constraints on the storage order of matrix types.
Header file for the EnableIf class template.
Header file for the function trace functionality.
Constraint on the data type.
Header file for the If class template.
Header file for the IntegralConstant class template.
Header file for the IsExpression type trait class.
Header file for the IsLower type trait.
Header file for the IsRowMajorMatrix type trait.
Header file for the IsStrictlyLower type trait.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Header file for the IsTemporary type trait class.
Header file for the IsUniLower type trait.
Header file for the IsUniUpper type trait.
Header file for the IsUpper type trait.
Header file for the MAYBE_UNUSED function template.
Header file for the Schur product trait.
Constraint on the data type.
Constraint on the data type.
Base class for dense matrices.
Definition: DenseMatrix.h:82
Base class for sparse matrices.
Definition: SparseMatrix.h:77
Expression object for transpose sparse matrix-transpose sparse matrix Schur product.
Definition: TSMatTSMatSchurExpr.h:100
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSchurExpr.h:231
LeftOperand lhs_
Left-hand side sparse matrix of the Schur product expression.
Definition: TSMatTSMatSchurExpr.h:303
If_t< IsExpression_v< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:157
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSchurExpr.h:205
RightOperand rhs_
Right-hand side sparse matrix of the Schur product expression.
Definition: TSMatTSMatSchurExpr.h:304
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatTSMatSchurExpr.h:165
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSchurExpr.h:284
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: TSMatTSMatSchurExpr.h:118
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSchurExpr.h:262
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSchurExpr.h:221
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:151
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:107
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:146
decltype(std::declval< RN1 >() *std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSchurExpr.h:121
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:104
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSchurExpr.h:154
If_t< IsExpression_v< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:160
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:103
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:108
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSchurExpr.h:241
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatSchurExpr.h:252
SchurTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:145
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSchurExpr.h:296
ReturnType_t< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:105
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSchurExpr.h:190
ReturnType_t< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:106
TSMatTSMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatSchurExpr class.
Definition: TSMatTSMatSchurExpr.h:174
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:147
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatSchurExpr.h:148
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSchurExpr.h:272
Constraint on the data type.
Constraint on the data type.
Header file for the Computation base class.
Header file for the SchurExpr base class.
Header file for the SparseMatrix base class.
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:1339
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:766
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:812
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.
Definition: Symmetric.h:79
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.
Definition: Zero.h:81
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.
Definition: SparseMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_BE_IDENTITY_MATRIX_TYPE(T)
Constraint on the data type.
Definition: Identity.h:60
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_SCHUREXPR(T1, T2)
Constraint on the data type.
Definition: SchurExpr.h:103
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.
Definition: ColumnMajorMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.
Definition: Zero.h:61
typename SchurTrait< T1, T2 >::Type SchurTrait_t
Auxiliary alias declaration for the SchurTrait class template.
Definition: SchurTrait.h:137
constexpr void reset(Matrix< MT, SO > &matrix)
Resetting the given matrix.
Definition: Matrix.h:806
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.
Definition: Assert.h:101
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
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:918
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.
Definition: EnableIf.h:138
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
typename If< Condition >::template Type< T1, T2 > If_t
Auxiliary alias template for the If class template.
Definition: If.h:108
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.
Definition: Exception.h:331
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.
Definition: Exception.h:235
typename EnableIf<!Condition, T >::Type DisableIf_t
Auxiliary type for the EnableIf class template.
Definition: EnableIf.h:175
#define BLAZE_FUNCTION_TRACE
Function trace macro.
Definition: FunctionTrace.h:94
Header file for the exception macros of the math module.
Header file for all forward declarations for expression class templates.
Header file for all forward declarations for sparse vectors and matrices.
Header file for the serial shim.
Base class for all compute expression templates.
Definition: Computation.h:68
Base class for all Schur product expression templates.
Definition: SchurExpr.h:68
Header file for the IsZero type trait.
Header file for basic type definitions.
Header file for the generic min algorithm.