35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATMULTEXPR_H_ 102 template<
typename MT1
104 class SMatTSMatMultExpr
105 :
public MatMatMultExpr< SparseMatrix< SMatTSMatMultExpr<MT1,MT2>, false > >
106 ,
private Computation
125 template<
typename T1,
typename T2,
typename T3 >
126 struct CanExploitSymmetry {
152 enum :
bool { smpAssignable =
false };
193 if( i >=
lhs_.rows() ) {
196 if( j >=
rhs_.columns() ) {
208 inline size_t rows() const noexcept {
219 return rhs_.columns();
228 inline constexpr
size_t nonZeros() const noexcept {
239 inline size_t nonZeros(
size_t i )
const noexcept {
271 template<
typename T >
272 inline bool canAlias(
const T* alias )
const noexcept {
273 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
283 template<
typename T >
284 inline bool isAliased(
const T* alias )
const noexcept {
285 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
295 return (
rows() *
columns() >= SMP_SMATTSMATMULT_THRESHOLD );
318 template<
typename MT >
330 assign( ~lhs, rhs.lhs_ * tmp );
350 template<
typename MT >
359 assign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
377 template<
typename MT >
391 assign( ~lhs, tmp * rhs.rhs_ );
411 template<
typename MT >
422 assign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
440 template<
typename MT >
452 addAssign( ~lhs, rhs.lhs_ * tmp );
472 template<
typename MT >
481 addAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
499 template<
typename MT >
513 addAssign( ~lhs, tmp * rhs.rhs_ );
533 template<
typename MT >
544 addAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
566 template<
typename MT >
578 subAssign( ~lhs, rhs.lhs_ * tmp );
598 template<
typename MT >
607 subAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
625 template<
typename MT >
639 subAssign( ~lhs, tmp * rhs.rhs_ );
659 template<
typename MT >
670 subAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
692 template<
typename MT
706 schurAssign( ~lhs, tmp );
738 template<
typename MT >
770 template<
typename MT >
799 template<
typename MT >
833 template<
typename MT >
864 template<
typename MT >
896 template<
typename MT >
930 template<
typename MT >
959 template<
typename MT >
994 template<
typename MT >
1026 template<
typename MT >
1060 template<
typename MT >
1089 template<
typename MT >
1122 template<
typename MT
1204 template<
typename MT1
1206 inline decltype(
auto)
1231 template<
typename MT1,
typename MT2 >
1232 struct Rows< SMatTSMatMultExpr<MT1,MT2> >
1249 template<
typename MT1,
typename MT2 >
1250 struct Columns< SMatTSMatMultExpr<MT1,MT2> >
1267 template<
typename MT1,
typename MT2 >
1268 struct IsLower< SMatTSMatMultExpr<MT1,MT2> >
1269 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1285 template<
typename MT1,
typename MT2 >
1286 struct IsUniLower< SMatTSMatMultExpr<MT1,MT2> >
1287 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1303 template<
typename MT1,
typename MT2 >
1305 :
public BoolConstant< Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
1306 , And< IsStrictlyLower<MT2>, IsLower<MT1> > >::value >
1322 template<
typename MT1,
typename MT2 >
1323 struct IsUpper< SMatTSMatMultExpr<MT1,MT2> >
1324 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1340 template<
typename MT1,
typename MT2 >
1341 struct IsUniUpper< SMatTSMatMultExpr<MT1,MT2> >
1342 :
public BoolConstant< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1358 template<
typename MT1,
typename MT2 >
1360 :
public BoolConstant< Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
1361 , 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.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:140
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 columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatMultExpr.h:218
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
Header file for the IsColumnMajorMatrix type trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatMultExpr.h:141
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.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
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.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatMultExpr.h:260
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Constraints on the storage order of matrix types.
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
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
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.
Expression object for sparse matrix-transpose sparse matrix multiplications.The SMatTSMatMultExpr cla...
Definition: Forward.h:126
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:111
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatMultExpr.h:176
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatMultExpr.h:250
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.
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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:138
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatMultExpr.h:284
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.
constexpr size_t nonZeros() const noexcept
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatMultExpr.h:228
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.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatMultExpr.h:137
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
Constraint on the data type.
Header file for all forward declarations for expression class templates.
SMatTSMatMultExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatMultExpr class.
Definition: SMatTSMatMultExpr.h:161
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:144
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatMultExpr.h:208
#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
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:113
#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
#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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:147
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.
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatMultExpr.h:272
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatMultExpr.h:192
#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
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
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatTSMatMultExpr.h:301
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
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:110
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3082
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:790
MultTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:136
Header file for the IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
size_t nonZeros(size_t i) const noexcept
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatMultExpr.h:239
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
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: SMatTSMatMultExpr.h:302
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatTSMatMultExpr.h:294
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.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:112
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.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatMultExpr.h:139