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 {
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 >
487 const ResultType tmp(
serial( rhs ) );
488 (~lhs).reserve( tmp.nonZeros() );
507 template<
typename MT >
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 >
643 assign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
661 template<
typename MT
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 )
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 >
747 addAssign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
769 template<
typename MT
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 )
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 >
856 subAssign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
889 template<
typename MT
929 template<
typename MT >
961 template<
typename MT
1002 template<
typename MT >
1038 template<
typename MT
1079 template<
typename MT >
1155 template<
typename T1
1181 template<
typename MT1,
typename MT2 >
1182 struct Rows< TSMatTSMatMultExpr<MT1,MT2> > :
public Rows<MT1>
1198 template<
typename MT1,
typename MT2 >
1199 struct Columns< TSMatTSMatMultExpr<MT1,MT2> > :
public Columns<MT2>
1215 template<
typename MT1,
typename MT2 >
1216 struct IsLower< TSMatTSMatMultExpr<MT1,MT2> >
1217 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1233 template<
typename MT1,
typename MT2 >
1234 struct IsUniLower< TSMatTSMatMultExpr<MT1,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 >
1271 struct IsUpper< TSMatTSMatMultExpr<MT1,MT2> >
1272 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1288 template<
typename MT1,
typename MT2 >
1289 struct IsUniUpper< TSMatTSMatMultExpr<MT1,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 >
1343 template<
typename MT1,
typename MT2,
typename VT >
1361 template<
typename VT,
typename MT1,
typename MT2 >
1379 template<
typename VT,
typename MT1,
typename MT2 >
1397 template<
typename MT1,
typename MT2,
bool AF >
1412 template<
typename MT1,
typename MT2 >
1426 template<
typename MT1,
typename MT2 >
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
#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
Compile time check for row vector types.This type trait tests whether or not the given template argum...
Definition: IsRowVector.h:80
Header file for auxiliary alias declarations.
Header file for mathematical functions.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatMultExpr.h:283
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.
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.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
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:194
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatMultExpr.h:325
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:1755
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:721
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
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:1802
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
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatTSMatMultExpr.h:369
Header file for the SparseMatrix base class.
Constraint on the data type.
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:344
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
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 DisableIf class template.
Compile time check for dense vector types.This type trait tests whether or not the given template par...
Definition: IsDenseVector.h:78
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
constexpr size_t nonZeros() const noexcept
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatMultExpr.h:303
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatMultExpr.h:293
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:83
#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
Evaluation of the expression type of a dense vector/transpose sparse matrix multiplication.Via this type trait it is possible to evaluate the resulting expression type of a dense vector/transpose sparse matrix multiplication. Given the transpose dense vector type VT and the column-major sparse matrix type MT, the nested type Type corresponds to the resulting expression type. In case either VT is not a transpose dense vector type or MT is not a column-major sparse matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TDVecTSMatMultExprTrait.h:79
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:158
Compile time check for sparse vector types.This type trait tests whether or not the given template pa...
Definition: IsSparseVector.h:78
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
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
typename TSMatDVecMultExprTrait< MT, VT >::Type TSMatDVecMultExprTrait_
Auxiliary alias declaration for the TSMatDVecMultExprTrait class template.The TSMatDVecMultExprTrait_...
Definition: TSMatDVecMultExprTrait.h:124
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT >, IsDeclExpr< 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:128
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatMultExpr.h:267
Header file for the IsTriangular type trait.
Compile time check for column vector types.This type trait tests whether or not the given template ar...
Definition: IsColumnVector.h:80
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
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
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:260
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT >, IsDeclExpr< 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:128
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
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatMultExpr.h:347
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:180
size_t nonZeros(size_t i) const noexcept
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatMultExpr.h:314
Evaluation of the expression type of a transpose sparse matrix/sparse vector multiplication.Via this type trait it is possible to evaluate the resulting expression type of a transpose sparse matrix/sparse vector multiplication. Given the column-major sparse matrix type MT and the non-transpose sparse vector type VT, the nested type Type corresponds to the resulting expression type. In case either MT is not a column-major sparse matrix type or VT is not a non-transpose sparse vector type, the resulting data type Type is set to INVALID_TYPE.
Definition: TSMatSVecMultExprTrait.h:79
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
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.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:129
Header file for run time assertion macros.
Compile time check for column-major matrix types.This type trait tests whether or not the given templ...
Definition: IsColumnMajorMatrix.h:83
Utility type for generic codes.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatMultExpr.h:335
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
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 reset shim.
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
Header file for the isDefault shim.
Base class for matrices.The Matrix class is a base class for all dense and sparse matrix classes with...
Definition: Forward.h:94
typename TDVecTSMatMultExprTrait< VT, MT >::Type TDVecTSMatMultExprTrait_
Auxiliary alias declaration for the TDVecTSMatMultExprTrait class template.The TDVecTSMatMultExprTrai...
Definition: TDVecTSMatMultExprTrait.h:120
Constraint on the data type.
Constraints on the storage order of matrix types.
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:223
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
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:733
Header file for the IsComputation type trait class.
Evaluation of the expression type of a transpose sparse matrix/dense vector multiplication.Via this type trait it is possible to evaluate the resulting expression type of a transpose sparse matrix/dense vector multiplication. Given the column-major sparse matrix type MT and the non-transpose dense vector type VT, the nested type Type corresponds to the resulting expression type. In case either MT is not a column-major sparse matrix type or VT is not a non-transpose dense vector type, the resulting data type Type is set to INVALID_TYPE.
Definition: TSMatDVecMultExprTrait.h:81
Header file for the IsBuiltin type trait.
MultTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:178
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatMultExpr.h:219
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:76
constexpr Infinity inf
Global Infinity instance.The blaze::inf instance can be used wherever a built-in data type is expecte...
Definition: Infinity.h:1073
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
Compile time check for sparse matrix types.This type trait tests whether or not the given template pa...
Definition: IsSparseMatrix.h:78
typename TSVecTSMatMultExprTrait< VT, MT >::Type TSVecTSMatMultExprTrait_
Auxiliary alias declaration for the TSVecTSMatMultExprTrait class template.The TSVecTSMatMultExprTrai...
Definition: TSVecTSMatMultExprTrait.h:124
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
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.
const DMatDMatMultExpr< T1, T2, false, false, false, false > 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:7505
Evaluation of the expression type of a sparse vector/transpose sparse matrix multiplication.Via this type trait it is possible to evaluate the resulting expression type of a sparse vector/transpose sparse matrix multiplication. Given the transpose sparse vector type VT and the column-major sparse matrix type MT, the nested type Type corresponds to the resulting expression type. In case either VT is not a transpose sparse vector type or MT is not a column-major sparse matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TSVecTSMatMultExprTrait.h:81
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#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 function trace functionality.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:131