35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_ 104 template<
typename MT1
106 class TSMatSMatMultExpr
107 :
public MatMatMultExpr< SparseMatrix< TSMatSMatMultExpr<MT1,MT2>, true > >
108 ,
private Computation
137 template<
typename T1,
typename T2,
typename T3 >
138 struct CanExploitSymmetry {
152 template<
typename T1,
typename T2,
typename T3 >
153 struct IsEvaluationRequired {
154 enum :
bool { value = ( evaluateLeft || evaluateRight ) &&
155 !CanExploitSymmetry<T1,T2,T2>::value };
179 enum :
bool { smpAssignable = !evaluateLeft && MT1::smpAssignable &&
180 !evaluateRight && MT2::smpAssignable };
230 :(
lhs_.columns() ) ) );
234 const size_t n(
end - begin );
254 if( i >=
lhs_.rows() ) {
257 if( j >=
rhs_.columns() ) {
269 inline size_t rows() const noexcept {
280 return rhs_.columns();
289 inline constexpr
size_t nonZeros() const noexcept {
300 inline size_t nonZeros(
size_t i )
const noexcept {
332 template<
typename T >
333 inline bool canAlias(
const T* alias )
const noexcept {
334 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
344 template<
typename T >
345 inline bool isAliased(
const T* alias )
const noexcept {
346 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
356 return (
rows() *
columns() >= SMP_TSMATSMATMULT_THRESHOLD );
379 template<
typename MT
399 TSMatSMatMultExpr::selectAssignKernel( ~lhs, A, B );
418 template<
typename MT3
421 static inline void selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
426 for(
size_t j=0UL; j<A.columns(); ++j ) {
427 const LeftIterator lend( A.end(j) );
428 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
429 const RightIterator rend( B.end(j) );
430 for( RightIterator relem=B.begin(j); relem!=rend; ++relem )
433 isDefault( C(lelem->index(),relem->index()) ) ) {
434 C(lelem->index(),relem->index()) = lelem->value() * relem->value();
437 C(lelem->index(),relem->index()) += lelem->value() * relem->value();
459 template<
typename MT >
473 assign( ~lhs, tmp * rhs.rhs_ );
491 template<
typename MT >
503 assign( ~lhs, rhs.lhs_ * tmp );
523 template<
typename MT >
534 assign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
554 template<
typename MT >
563 assign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
581 template<
typename MT
601 TSMatSMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
620 template<
typename MT3
623 static inline void selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
628 for(
size_t j=0UL; j<A.columns(); ++j ) {
629 const LeftIterator lend( A.end(j) );
630 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
631 const RightIterator rend( B.end(j) );
632 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
633 C(lelem->index(),relem->index()) += lelem->value() * relem->value();
656 template<
typename MT >
667 addAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
687 template<
typename MT >
696 addAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
718 template<
typename MT
737 TSMatSMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
756 template<
typename MT3
759 static inline void selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
764 for(
size_t j=0UL; j<A.columns(); ++j ) {
765 const LeftIterator lend( A.end(j) );
766 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
767 const RightIterator rend( B.end(j) );
768 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
769 C(lelem->index(),relem->index()) -= lelem->value() * relem->value();
792 template<
typename MT >
803 subAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
823 template<
typename MT >
832 subAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
854 template<
typename MT
868 schurAssign( ~lhs, tmp );
901 template<
typename MT
941 template<
typename MT >
972 template<
typename MT >
1002 template<
typename MT
1042 template<
typename MT >
1073 template<
typename MT >
1107 template<
typename MT
1147 template<
typename MT >
1178 template<
typename MT >
1209 template<
typename MT
1291 template<
typename MT1
1293 inline decltype(
auto)
1318 template<
typename MT1,
typename MT2 >
1319 struct Size< TSMatSMatMultExpr<MT1,MT2>, 0UL >
1320 :
public Size<MT1,0UL>
1323 template<
typename MT1,
typename MT2 >
1324 struct Size< TSMatSMatMultExpr<MT1,MT2>, 1UL >
1325 :
public Size<MT2,1UL>
1341 template<
typename MT1,
typename MT2 >
1342 struct IsLower< TSMatSMatMultExpr<MT1,MT2> >
1343 :
public And< IsLower<MT1>, IsLower<MT2> >
1359 template<
typename MT1,
typename MT2 >
1360 struct IsUniLower< TSMatSMatMultExpr<MT1,MT2> >
1361 :
public And< IsUniLower<MT1>, IsUniLower<MT2> >
1377 template<
typename MT1,
typename MT2 >
1379 :
public Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
1380 , And< IsStrictlyLower<MT2>, IsLower<MT1> > >
1396 template<
typename MT1,
typename MT2 >
1397 struct IsUpper< TSMatSMatMultExpr<MT1,MT2> >
1398 :
public And< IsUpper<MT1>, IsUpper<MT2> >
1414 template<
typename MT1,
typename MT2 >
1415 struct IsUniUpper< TSMatSMatMultExpr<MT1,MT2> >
1416 :
public And< IsUniUpper<MT1>, IsUniUpper<MT2> >
1432 template<
typename MT1,
typename MT2 >
1434 :
public Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
1435 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> > >
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:329
#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.
decltype(auto) column(Matrix< MT, SO > &matrix, RCAs... args)
Creating a view on a specific column of the given matrix.
Definition: Column.h:131
Headerfile for the generic min algorithm.
Header file for the blaze::checked and blaze::unchecked instances.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:112
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:86
Header file for basic type definitions.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatMultExpr.h:204
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.
Header file for the IsDiagonal type trait.
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:364
Header file for the IsColumnMajorMatrix type trait.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatMultExpr.h:311
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
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:1903
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
MultTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:163
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatMultExpr.h:168
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:291
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:87
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatSMatMultExpr.h:253
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:174
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:1950
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:171
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
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.
Constraint on the data type.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatMultExpr.h:321
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:71
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:58
Header file for the If class template.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatSMatMultExpr.h:355
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:269
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
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:279
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:89
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatMultExpr.h:345
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:167
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:430
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:289
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:107
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:189
#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:115
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatMultExpr.h:333
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
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:131
#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:114
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatSMatMultExpr.h:166
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:816
#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:3080
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:789
size_t nonZeros(size_t i) const noexcept
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatMultExpr.h:300
Header file for the IsRowMajorMatrix type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatMultExpr.h:164
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatSMatMultExpr.h:362
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:165
Header file for the IsComputation type trait class.
Compile time logical 'or' evaluation.The Or alias declaration performs at compile time a logical 'or'...
Definition: Or.h:76
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:113
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:628
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:363
Header file for the IsResizable type trait.
Header file for the Size 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.