35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSCHUREXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSCHUREXPR_H_ 101 template<
typename MT1
103 class TSMatTSMatSchurExpr
104 :
public SchurExpr< SparseMatrix< TSMatTSMatSchurExpr<MT1,MT2>, true > >
105 ,
private Computation
137 template<
typename T1,
typename T2,
typename T3 >
138 struct UseSymmetricKernel {
152 template<
typename MT >
153 struct UseSMPAssign {
154 enum :
bool { value = MT::smpAssignable };
182 enum :
bool { smpAssignable =
false };
223 if( i >=
lhs_.rows() ) {
226 if( j >=
lhs_.columns() ) {
238 inline size_t rows() const noexcept {
249 return lhs_.columns();
300 template<
typename T >
301 inline bool canAlias(
const T* alias )
const noexcept {
302 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
312 template<
typename T >
313 inline bool isAliased(
const T* alias )
const noexcept {
314 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
337 template<
typename MT
360 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
362 const LeftIterator lend( A.end(j) );
363 const RightIterator rend( B.end(j) );
365 LeftIterator l( A.begin(j) );
366 RightIterator r( B.begin(j) );
368 for( ; l!=lend; ++l ) {
369 while( r!=rend && r->index() < l->index() ) ++r;
371 if( l->index() == r->index() ) {
372 (~lhs)(l->index(),j) = l->value() * r->value();
394 template<
typename MT >
418 const size_t m( rhs.rows() );
419 const size_t n( rhs.columns() );
422 std::vector<size_t> nonzeros( m, 0UL );
423 for(
size_t j=0UL; j<n; ++j )
425 const LeftIterator lend( A.end(j) );
426 const RightIterator rend( B.end(j) );
428 LeftIterator l( A.begin(j) );
429 RightIterator r( B.begin(j) );
431 for( ; l!=lend; ++l ) {
432 while( r!=rend && r->index() < l->index() ) ++r;
434 if( l->index() == r->index() ) {
435 ++nonzeros[l->index()];
442 for(
size_t i=0UL; i<m; ++i ) {
443 (~lhs).reserve( i, nonzeros[i] );
447 for(
size_t j=0UL; j<n; ++j )
449 const LeftIterator lend( A.end(j) );
450 const RightIterator rend( B.end(j) );
452 LeftIterator l( A.begin(j) );
453 RightIterator r( B.begin(j) );
455 for( ; l!=lend; ++l ) {
456 while( r!=rend && r->index() < l->index() ) ++r;
458 if( l->index() == r->index() ) {
459 (~lhs).append( l->index(), j, l->value() * r->value() );
481 template<
typename MT >
503 (~lhs).reserve(
min( A.nonZeros(), B.nonZeros() ) );
506 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
508 const LeftIterator lend( A.end(j) );
509 const RightIterator rend( B.end(j) );
511 LeftIterator l( A.begin(j) );
512 RightIterator r( B.begin(j) );
514 for( ; l!=lend; ++l ) {
515 while( r!=rend && r->index() < l->index() ) ++r;
517 if( l->index() == r->index() ) {
518 (~lhs).append( l->index(), j, l->value() * r->value() );
523 (~lhs).finalize( j );
542 template<
typename MT >
553 assign( ~lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
571 template<
typename MT
594 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
596 const LeftIterator lend( A.end(j) );
597 const RightIterator rend( B.end(j) );
599 LeftIterator l( A.begin(j) );
600 RightIterator r( B.begin(j) );
602 for( ; l!=lend; ++l ) {
603 while( r!=rend && r->index() < l->index() ) ++r;
605 if( l->index() == r->index() ) {
606 (~lhs)(l->index(),j) += l->value() * r->value();
628 template<
typename MT >
639 addAssign( ~lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
661 template<
typename MT
684 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
686 const LeftIterator lend( A.end(j) );
687 const RightIterator rend( B.end(j) );
689 LeftIterator l( A.begin(j) );
690 RightIterator r( B.begin(j) );
692 for( ; l!=lend; ++l ) {
693 while( r!=rend && r->index() < l->index() ) ++r;
695 if( l->index() == r->index() ) {
696 (~lhs)(l->index(),j) -= l->value() * r->value();
718 template<
typename MT >
729 subAssign( ~lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
751 template<
typename MT
774 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
776 const LeftIterator lend( A.end(j) );
777 const RightIterator rend( B.end(j) );
779 LeftIterator l( A.begin(j) );
780 RightIterator r( B.begin(j) );
784 for( ; l!=lend; ++l ) {
785 while( r!=rend && r->index() < l->index() ) ++r;
787 if( l->index() == r->index() ) {
788 for( ; i<l->index(); ++i )
789 reset( (~lhs)(i,j) );
790 (~lhs)(l->index(),j) *= l->value() * r->value();
796 for( ; i<(~lhs).
rows(); ++i )
797 reset( (~lhs)(i,j) );
816 template<
typename MT >
827 schurAssign( ~lhs,
trans( rhs.lhs_ ) %
trans( rhs.rhs_ ) );
881 template<
typename MT
941 template<
typename MT1
971 template<
typename MT1
985 return IdentityMatrix< MultTrait_< ElementType_<MT1>, ElementType_<MT2> >,
true >( (~lhs).
rows() );
1017 template<
typename MT1
1019 inline decltype(
auto)
1043 template<
typename MT1,
typename MT2 >
1044 struct Rows< TSMatTSMatSchurExpr<MT1,MT2> >
1045 :
public Maximum< Rows<MT1>, Rows<MT2> >
1061 template<
typename MT1,
typename MT2 >
1062 struct Columns< TSMatTSMatSchurExpr<MT1,MT2> >
1063 :
public Maximum< Columns<MT1>, Columns<MT2> >
1079 template<
typename MT1,
typename MT2 >
1080 struct IsSymmetric< TSMatTSMatSchurExpr<MT1,MT2> >
1081 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1097 template<
typename MT1,
typename MT2 >
1098 struct IsHermitian< TSMatTSMatSchurExpr<MT1,MT2> >
1099 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1115 template<
typename MT1,
typename MT2 >
1116 struct IsLower< TSMatTSMatSchurExpr<MT1,MT2> >
1117 :
public BoolConstant< Or< IsLower<MT1>, IsLower<MT2> >::value >
1133 template<
typename MT1,
typename MT2 >
1134 struct IsUniLower< TSMatTSMatSchurExpr<MT1,MT2> >
1135 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1151 template<
typename MT1,
typename MT2 >
1153 :
public BoolConstant< Or< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1169 template<
typename MT1,
typename MT2 >
1170 struct IsUpper< TSMatTSMatSchurExpr<MT1,MT2> >
1171 :
public BoolConstant< Or< IsUpper<MT1>, IsUpper<MT2> >::value >
1187 template<
typename MT1,
typename MT2 >
1188 struct IsUniUpper< TSMatTSMatSchurExpr<MT1,MT2> >
1189 :
public BoolConstant< Or< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1205 template<
typename MT1,
typename MT2 >
1207 :
public BoolConstant< Or< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
#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:171
Header file for auxiliary alias declarations.
Headerfile for the generic min algorithm.
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
Header file for basic type definitions.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSchurExpr.h:258
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatSchurExpr.h:165
Header file for the serial shim.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:560
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSchurExpr.h:238
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
Header file for the And class template.
const ElementType_< MT > min(const DenseMatrix< MT, SO > &dm)
Returns the smallest element of the dense matrix.
Definition: DenseMatrix.h:1762
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.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
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:171
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:946
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:109
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.
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:114
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
SchurTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:162
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.
Constraint on the data type.
Header file for the Maximum class template.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:110
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.
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
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.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:110
#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
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.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:174
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSchurExpr.h:279
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
MultExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSchurExpr.h:127
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSchurExpr.h:248
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSchurExpr.h:301
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:289
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:111
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:164
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
#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
Header file for run time assertion macros.
LeftOperand lhs_
Left-hand side sparse matrix of the Schur product expression.
Definition: TSMatTSMatSchurExpr.h:320
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:112
TSMatTSMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatSchurExpr class.
Definition: TSMatTSMatSchurExpr.h:191
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSchurExpr.h:313
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
#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
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Base class for matrices.The Matrix class is a base class for all dense and sparse matrix classes with...
Definition: Forward.h:101
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:168
Constraint on the data type.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:113
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:819
Header file for the RemoveReference type trait.
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
RightOperand rhs_
Right-hand side sparse matrix of the Schur product expression.
Definition: TSMatTSMatSchurExpr.h:321
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
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:790
Header file for the IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
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
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSchurExpr.h:207
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSchurExpr.h:177
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
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatSchurExpr.h:269
Header file for the IsHermitian type trait.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSchurExpr.h:222
#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:61
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSchurExpr.h:163
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Constraint on the data type.