35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATMULTEXPR_H_
121 template<
typename MT1
123 class TSMatTSMatMultExpr :
public SparseMatrix< TSMatTSMatMultExpr<MT1,MT2>, true >
124 ,
private MatMatMultExpr
125 ,
private Computation
152 template<
typename T1,
typename T2,
typename T3 >
153 struct CanExploitSymmetry {
154 enum :
bool { value = IsRowMajorMatrix<T1>::value &&
155 IsSymmetric<T2>::value && IsSymmetric<T3>::value };
167 template<
typename T1,
typename T2,
typename T3 >
168 struct IsEvaluationRequired {
169 enum :
bool { value = ( evaluateLeft || evaluateRight ) &&
170 !CanExploitSymmetry<T1,T2,T3>::value };
194 enum :
bool { smpAssignable = !evaluateLeft && MT1::smpAssignable &&
195 !evaluateRight && MT2::smpAssignable };
245 :(
lhs_.columns() ) ) );
249 const size_t n(
end - begin );
267 inline ReturnType
at(
size_t i,
size_t j )
const {
268 if( i >=
lhs_.rows() ) {
271 if( j >=
rhs_.columns() ) {
283 inline size_t rows() const noexcept {
294 return rhs_.columns();
303 inline constexpr
size_t nonZeros() const noexcept {
314 inline size_t nonZeros(
size_t i )
const noexcept {
346 template<
typename T >
347 inline bool canAlias(
const T* alias )
const noexcept {
348 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
358 template<
typename T >
359 inline bool isAliased(
const T* alias )
const noexcept {
360 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
370 return (
rows() *
columns() >= SMP_TSMATTSMATMULT_THRESHOLD );
393 template<
typename MT
403 CT1 A(
serial( rhs.lhs_ ) );
404 CT2 B(
serial( rhs.rhs_ ) );
413 TSMatTSMatMultExpr::selectAssignKernel( ~lhs, A, B );
432 template<
typename MT3
435 static inline void selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
440 for(
size_t j=0UL; j<C.columns(); ++j ) {
441 const RightIterator rend( B.end(j) );
442 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
443 const LeftIterator lend( A.end( relem->index() ) );
444 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem )
448 C(lelem->index(),j) = lelem->value() * relem->value();
451 C(lelem->index(),j) += lelem->value() * relem->value();
473 template<
typename MT >
474 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
487 const ResultType tmp(
serial( rhs ) );
488 (~lhs).reserve( tmp.nonZeros() );
507 template<
typename MT >
508 friend inline void assign( SparseMatrix<MT,true>& lhs,
const TSMatTSMatMultExpr& rhs )
515 typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
516 typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
518 CT1 A(
serial( rhs.lhs_ ) );
519 CT2 B(
serial( rhs.rhs_ ) );
529 size_t nonzeros( 0UL );
531 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
532 const RightIterator rend( B.end(j) );
533 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
534 nonzeros += A.nonZeros( relem->index() );
538 if( nonzeros > (~lhs).rows() * (~lhs).
columns() ) {
542 (~lhs).reserve( nonzeros );
547 std::vector<byte_t> valid ( (~lhs).
rows(), 0 );
548 std::vector<size_t> indices( (~lhs).
rows(), 0UL );
549 size_t minIndex(
inf ), maxIndex( 0UL );
551 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
553 const RightIterator rend( B.end(j) );
554 for( RightIterator relem=B.begin(j); relem!=rend; ++relem )
556 const LeftIterator lend( A.end( relem->index() ) );
557 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem )
559 if( !valid[lelem->index()] ) {
560 values[lelem->index()] = lelem->value() * relem->value();
561 valid [lelem->index()] = 1;
562 indices[nonzeros] = lelem->index();
564 if( lelem->index() < minIndex ) minIndex = lelem->index();
565 if( lelem->index() > maxIndex ) maxIndex = lelem->index();
568 values[lelem->index()] += lelem->value() * relem->value();
579 if( ( nonzeros + nonzeros ) < ( maxIndex - minIndex ) )
581 std::sort( indices.begin(), indices.begin() + nonzeros );
583 for(
size_t i=0UL; i<nonzeros; ++i )
585 const size_t index( indices[i] );
587 (~lhs).append( index, j, values[index] );
588 reset( values[index] );
591 reset( valid [index] );
595 for(
size_t i=minIndex; i<=maxIndex; ++i )
598 (~lhs).append( i, j, values[i] );
611 (~lhs).finalize( j );
632 template<
typename MT >
633 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
643 assign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
661 template<
typename MT
663 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
671 CT1 A(
serial( rhs.lhs_ ) );
672 CT2 B(
serial( rhs.rhs_ ) );
681 TSMatTSMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
700 template<
typename MT3
703 static inline void selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
705 typedef ConstIterator_<MT4> LeftIterator;
706 typedef ConstIterator_<MT5> RightIterator;
708 for(
size_t j=0UL; j<C.columns(); ++j ) {
709 const RightIterator rend( B.end(j) );
710 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
711 const LeftIterator lend( A.end( relem->index() ) );
712 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem ) {
713 C(lelem->index(),j) += lelem->value() * relem->value();
736 template<
typename MT >
737 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
747 addAssign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
769 template<
typename MT
771 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
779 CT1 A(
serial( rhs.lhs_ ) );
780 CT2 B(
serial( rhs.rhs_ ) );
789 TSMatTSMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
808 template<
typename MT3
811 static inline void selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
813 typedef ConstIterator_<MT4> LeftIterator;
814 typedef ConstIterator_<MT5> RightIterator;
816 for(
size_t j=0UL; j<C.columns(); ++j ) {
817 const RightIterator rend( B.end(j) );
818 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
819 const LeftIterator lend( A.end( relem->index() ) );
820 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem ) {
821 C(lelem->index(),j) -= lelem->value() * relem->value();
845 template<
typename MT >
846 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
856 subAssign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
889 template<
typename MT
891 friend inline EnableIf_< IsEvaluationRequired<MT,MT1,MT2> >
929 template<
typename MT >
930 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
961 template<
typename MT
963 friend inline EnableIf_< IsEvaluationRequired<MT,MT1,MT2> >
1002 template<
typename MT >
1003 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
1038 template<
typename MT
1040 friend inline EnableIf_< IsEvaluationRequired<MT,MT1,MT2> >
1079 template<
typename MT >
1080 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
1155 template<
typename T1
1157 inline const TSMatTSMatMultExpr<T1,T2>
1181 template<
typename MT1,
typename MT2 >
1198 template<
typename MT1,
typename MT2 >
1215 template<
typename MT1,
typename MT2 >
1217 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1233 template<
typename MT1,
typename MT2 >
1235 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1251 template<
typename MT1,
typename MT2 >
1253 :
public BoolConstant< Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
1254 , And< IsStrictlyLower<MT2>, IsLower<MT1> > >::value >
1270 template<
typename MT1,
typename MT2 >
1272 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1288 template<
typename MT1,
typename MT2 >
1290 :
public BoolConstant< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1306 template<
typename MT1,
typename MT2 >
1308 :
public BoolConstant< Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
1309 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> > >::value >
1325 template<
typename MT1,
typename MT2,
typename VT >
1330 using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
1331 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2>
1332 , IsDenseVector<VT>, IsColumnVector<VT> >
1333 , TSMatDVecMultExprTrait_< MT1, TSMatDVecMultExprTrait_<MT2,VT> >
1343 template<
typename MT1,
typename MT2,
typename VT >
1348 using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
1349 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2>
1350 , IsSparseVector<VT>, IsColumnVector<VT> >
1351 , TSMatDVecMultExprTrait_< MT1, TSMatDVecMultExprTrait_<MT2,VT> >
1361 template<
typename VT,
typename MT1,
typename MT2 >
1366 using Type = If_< And< IsDenseVector<VT>, IsRowVector<VT>
1367 , IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
1368 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2> >
1369 , TDVecTSMatMultExprTrait_< TDVecTSMatMultExprTrait_<VT,MT1>, MT2 >
1379 template<
typename VT,
typename MT1,
typename MT2 >
1384 using Type = If_< And< IsSparseVector<VT>, IsRowVector<VT>
1385 , IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
1386 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2> >
1387 , TSVecTSMatMultExprTrait_< TSVecTSMatMultExprTrait_<VT,MT1>, MT2 >
1397 template<
typename MT1,
typename MT2,
bool AF >
1402 using Type = MultExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1403 , SubmatrixExprTrait_<const MT2,AF> >;
1412 template<
typename MT1,
typename MT2 >
1417 using Type = MultExprTrait_< RowExprTrait_<const MT1>, MT2 >;
1426 template<
typename MT1,
typename MT2 >
1431 using Type = MultExprTrait_< MT1, ColumnExprTrait_<const MT2> >;
#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
Header file for auxiliary alias declarations.
Header file for mathematical functions.
Header file for the Rows type trait.
Header file for the UNUSED_PARAMETER function template.
TSMatTSMatMultExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatMultExpr class.
Definition: TSMatTSMatMultExpr.h:204
Header file for the IsUniUpper type trait.
const DMatDMatMultExpr< T1, T2 > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:7800
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:179
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:182
Compile time check for triangular matrix types.This type trait tests whether or not the given templat...
Definition: IsTriangular.h:87
Header file for basic type definitions.
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the IsSparseMatrix type trait.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:186
Header file for the serial shim.
Header file for the ColumnExprTrait class template.
BLAZE_ALWAYS_INLINE MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:188
Header file for the IsColumnMajorMatrix type trait.
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:189
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:533
Header file for the TSVecTSMatMultExprTrait class template.
Header file for the IsRowVector type trait.
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
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:1669
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:245
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatMultExpr.h:181
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatMultExpr.h:293
Header file for the RequiresEvaluation type trait.
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:323
const ElementType_< MT > max(const DenseMatrix< MT, SO > &dm)
Returns the largest element of the dense matrix.
Definition: DenseMatrix.h:1716
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT > >, ColumnExprTrait_< MT > > column(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific column of the given matrix.
Definition: Column.h:126
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatTSMatMultExpr.h:369
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatMultExpr.h:267
Header file for the SparseMatrix base class.
Constraint on the data type.
size_t nonZeros(size_t i) const noexcept
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatMultExpr.h:314
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
SubvectorExprTrait_< VT, unaligned > subvector(Vector< VT, TF > &vector, size_t index, size_t size)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:152
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Header file for the DisableIf class template.
Header file for the multiplication trait.
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatMultExpr.h:325
#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
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
Header file for the Or class template.
Header file for the TDVecTSMatMultExprTrait 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.
Header file for the TSMatDVecMultExprTrait class template.
Numerical infinity for built-in data types.
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSMatTSMatMultExpr.h:377
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Expression object for transpose sparse matrix-transpose sparse matrix multiplications.The TSMatTSMatMultExpr class represents the compile time expression for multiplications between two column-major sparse matrices.
Definition: Forward.h:148
Header file for the IsLower type trait.
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:90
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatTSMatMultExpr.h:376
Header file for the IsTriangular type trait.
Header file for the exception macros of the math module.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatMultExpr.h:347
constexpr size_t nonZeros() const noexcept
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatMultExpr.h:303
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:254
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatMultExpr.h:283
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatMultExpr.h:109
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatMultExpr.h:219
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:180
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:132
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT > >, RowExprTrait_< MT > > row(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific row of the given matrix.
Definition: Row.h:126
Header file for the IsSparseVector type trait.
#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 the SubmatrixExprTrait class template.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatMultExpr.h:335
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:129
Header file for run time assertion macros.
Utility type for generic codes.
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:160
Header file for the reset shim.
Header file for the isDefault shim.
Constraint on the data type.
Constraints on the storage order of matrix types.
const Infinity inf
Global Infinity instance.The blaze::inf instance can be used wherever a built-in data type is expecte...
Definition: Infinity.h:1098
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
Header file for the RemoveReference type trait.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:130
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
Header file for the IsDenseVector type trait.
TSMatTSMatMultExpr< MT1, MT2 > This
Type of this TSMatTSMatMultExpr instance.
Definition: TSMatTSMatMultExpr.h:177
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatMultExpr.h:183
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatMultExpr.h:359
Header file for the IsRowMajorMatrix type trait.
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Header file for the IsComputation type trait class.
Header file for the IsBuiltin type trait.
MultTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:178
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
Header file for the IntegralConstant class template.
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
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 IsColumnVector type trait.
Constraint on the data type.
Header file for the IsResizable type trait.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#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
Header file for the IsExpression type trait class.
Header file for the TSMatSVecMultExprTrait class template.
Header file for the FunctionTrace class.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:131