35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_ 106 template<
typename MT1
108 class TSMatSMatMultExpr
109 :
public MatMatMultExpr< SparseMatrix< TSMatSMatMultExpr<MT1,MT2>, true > >
110 ,
private Computation
139 template<
typename T1,
typename T2,
typename T3 >
140 struct CanExploitSymmetry {
154 template<
typename T1,
typename T2,
typename T3 >
155 struct IsEvaluationRequired {
156 enum :
bool { value = ( evaluateLeft || evaluateRight ) &&
157 !CanExploitSymmetry<T1,T2,T2>::value };
181 enum :
bool { smpAssignable = !evaluateLeft && MT1::smpAssignable &&
182 !evaluateRight && MT2::smpAssignable };
232 :(
lhs_.columns() ) ) );
236 const size_t n(
end - begin );
255 if( i >=
lhs_.rows() ) {
258 if( j >=
rhs_.columns() ) {
270 inline size_t rows() const noexcept {
281 return rhs_.columns();
290 inline constexpr
size_t nonZeros() const noexcept {
301 inline size_t nonZeros(
size_t i )
const noexcept {
333 template<
typename T >
334 inline bool canAlias(
const T* alias )
const noexcept {
335 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
345 template<
typename T >
346 inline bool isAliased(
const T* alias )
const noexcept {
347 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
357 return (
rows() *
columns() >= SMP_TSMATSMATMULT_THRESHOLD );
380 template<
typename MT
400 TSMatSMatMultExpr::selectAssignKernel( ~lhs, A, B );
419 template<
typename MT3
422 static inline void selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
427 for(
size_t j=0UL; j<A.columns(); ++j ) {
428 const LeftIterator lend( A.end(j) );
429 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
430 const RightIterator rend( B.end(j) );
431 for( RightIterator relem=B.begin(j); relem!=rend; ++relem )
434 isDefault( C(lelem->index(),relem->index()) ) ) {
435 C(lelem->index(),relem->index()) = lelem->value() * relem->value();
438 C(lelem->index(),relem->index()) += lelem->value() * relem->value();
460 template<
typename MT >
474 assign( ~lhs, tmp * rhs.rhs_ );
492 template<
typename MT >
504 assign( ~lhs, rhs.lhs_ * tmp );
524 template<
typename MT >
535 assign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
555 template<
typename MT >
564 assign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
582 template<
typename MT
602 TSMatSMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
621 template<
typename MT3
624 static inline void selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
629 for(
size_t j=0UL; j<A.columns(); ++j ) {
630 const LeftIterator lend( A.end(j) );
631 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
632 const RightIterator rend( B.end(j) );
633 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
634 C(lelem->index(),relem->index()) += lelem->value() * relem->value();
657 template<
typename MT >
668 addAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
688 template<
typename MT >
697 addAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
719 template<
typename MT
738 TSMatSMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
757 template<
typename MT3
760 static inline void selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
765 for(
size_t j=0UL; j<A.columns(); ++j ) {
766 const LeftIterator lend( A.end(j) );
767 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
768 const RightIterator rend( B.end(j) );
769 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
770 C(lelem->index(),relem->index()) -= lelem->value() * relem->value();
793 template<
typename MT >
804 subAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
824 template<
typename MT >
833 subAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
855 template<
typename MT
869 schurAssign( ~lhs, tmp );
902 template<
typename MT
942 template<
typename MT >
973 template<
typename MT >
1003 template<
typename MT
1043 template<
typename MT >
1074 template<
typename MT >
1108 template<
typename MT
1148 template<
typename MT >
1179 template<
typename MT >
1210 template<
typename MT
1292 template<
typename MT1
1294 inline decltype(
auto)
1319 template<
typename MT1,
typename MT2 >
1320 struct Rows< TSMatSMatMultExpr<MT1,MT2> >
1337 template<
typename MT1,
typename MT2 >
1338 struct Columns< TSMatSMatMultExpr<MT1,MT2> >
1355 template<
typename MT1,
typename MT2 >
1356 struct IsLower< TSMatSMatMultExpr<MT1,MT2> >
1357 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1373 template<
typename MT1,
typename MT2 >
1374 struct IsUniLower< TSMatSMatMultExpr<MT1,MT2> >
1375 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1391 template<
typename MT1,
typename MT2 >
1393 :
public BoolConstant< Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
1394 , And< IsStrictlyLower<MT2>, IsLower<MT1> > >::value >
1410 template<
typename MT1,
typename MT2 >
1411 struct IsUpper< TSMatSMatMultExpr<MT1,MT2> >
1412 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1428 template<
typename MT1,
typename MT2 >
1429 struct IsUniUpper< TSMatSMatMultExpr<MT1,MT2> >
1430 :
public BoolConstant< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1446 template<
typename MT1,
typename MT2 >
1448 :
public BoolConstant< Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
1449 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> > >::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
Header file for auxiliary alias declarations.
Headerfile for the generic min algorithm.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:114
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
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.
Subvector< VT, AF > 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:322
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatMultExpr.h:206
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:164
Header file for the serial shim.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
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:198
Header file for the IsColumnMajorMatrix type trait.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatMultExpr.h:312
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 check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
MultTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:165
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatMultExpr.h:170
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:250
Column< MT > column(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific column of the given matrix.
Definition: Column.h:124
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatSMatMultExpr.h:254
Constraints on the storage order of matrix types.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:176
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:343
const ElementType_< MT > max(const DenseMatrix< MT, SO > &dm)
Returns the largest element of the dense matrix.
Definition: DenseMatrix.h:1809
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:133
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:173
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 the SparseMatrix base class.
Row< MT > row(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific row of the given matrix.
Definition: Row.h:124
Constraint on the data type.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatMultExpr.h:322
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
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
Headerfile for the generic max algorithm.
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.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatSMatMultExpr.h:356
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatSMatMultExpr.h:270
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:102
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
Header file for the IsLower type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatSMatMultExpr.h:280
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:90
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatMultExpr.h:346
Header file for the IsTriangular type trait.
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
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:169
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:264
Constraint on the data type.
constexpr size_t nonZeros() const noexcept
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatSMatMultExpr.h:290
Header file for all forward declarations for expression class templates.
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:108
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#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
TSMatSMatMultExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatSMatMultExpr class.
Definition: TSMatSMatMultExpr.h:191
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:117
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:110
Utility type for generic codes.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatMultExpr.h:334
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
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:116
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatSMatMultExpr.h:168
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:101
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:819
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
Expression object for transpose sparse matrix-sparse matrix multiplications.The TSMatSMatMultExpr cla...
Definition: Forward.h:164
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
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3082
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
size_t nonZeros(size_t i) const noexcept
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatMultExpr.h:301
Header file for the IsRowMajorMatrix type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatMultExpr.h:166
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatSMatMultExpr.h:363
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:167
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
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:115
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:600
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
Constraint on the data type.
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSMatSMatMultExpr.h:364
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 function trace functionality.