35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDMATSMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TDMATSMATADDEXPR_H_ 106 template<
typename MT1
108 class TDMatSMatAddExpr :
public DenseMatrix< TDMatSMatAddExpr<MT1,MT2>, true >
109 ,
private MatMatAddExpr
110 ,
private Computation
140 template<
typename MT >
141 struct UseSMPAssign {
142 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
170 enum :
bool { simdEnabled =
false };
173 enum :
bool { smpAssignable =
false };
213 inline ReturnType
at(
size_t i,
size_t j )
const {
214 if( i >=
lhs_.rows() ) {
217 if( j >=
lhs_.columns() ) {
229 inline size_t rows() const noexcept {
240 return lhs_.columns();
270 template<
typename T >
271 inline bool canAlias(
const T* alias )
const noexcept {
273 (
rhs_.canAlias( alias ) );
283 template<
typename T >
284 inline bool isAliased(
const T* alias )
const noexcept {
285 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
307 template<
typename MT
317 addAssign( ~lhs, rhs.rhs_ );
320 assign ( ~lhs, rhs.lhs_ );
321 addAssign( ~lhs, rhs.rhs_ );
339 template<
typename MT
357 const TmpType tmp(
serial( rhs ) );
376 template<
typename MT
385 addAssign( ~lhs, rhs.lhs_ );
386 addAssign( ~lhs, rhs.rhs_ );
408 template<
typename MT
417 subAssign( ~lhs, rhs.lhs_ );
418 subAssign( ~lhs, rhs.rhs_ );
449 template<
typename MT
484 template<
typename MT
503 const TmpType tmp( rhs );
524 template<
typename MT
559 template<
typename MT
639 template<
typename T1
686 template<
typename T1
723 template<
typename T1
732 return ( lhs.leftOperand() + (~rhs) ) + lhs.rightOperand();
751 template<
typename T1
760 return ( lhs.leftOperand() - (~rhs) ) + lhs.rightOperand();
776 template<
typename MT1,
typename MT2 >
777 struct Rows< TDMatSMatAddExpr<MT1,MT2> >
778 :
public Max< Rows<MT1>, Rows<MT2> >
794 template<
typename MT1,
typename MT2 >
795 struct Columns< TDMatSMatAddExpr<MT1,MT2> >
796 :
public Max< Columns<MT1>, Columns<MT2> >
812 template<
typename MT1,
typename MT2 >
814 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
830 template<
typename MT1,
typename MT2 >
832 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
848 template<
typename MT1,
typename MT2 >
849 struct IsLower< TDMatSMatAddExpr<MT1,MT2> >
850 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
866 template<
typename MT1,
typename MT2 >
867 struct IsUniLower< TDMatSMatAddExpr<MT1,MT2> >
868 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
869 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
885 template<
typename MT1,
typename MT2 >
887 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
903 template<
typename MT1,
typename MT2 >
904 struct IsUpper< TDMatSMatAddExpr<MT1,MT2> >
905 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
921 template<
typename MT1,
typename MT2 >
922 struct IsUniUpper< TDMatSMatAddExpr<MT1,MT2> >
923 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
924 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
940 template<
typename MT1,
typename MT2 >
942 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
958 template<
typename MT1,
typename MT2,
typename MT3 >
978 template<
typename MT1,
typename MT2,
typename MT3 >
998 template<
typename MT1,
typename MT2,
typename MT3 >
1018 template<
typename MT1,
typename MT2,
typename MT3 >
1038 template<
typename MT1,
typename MT2,
bool AF >
1053 template<
typename MT1,
typename MT2 >
1068 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
Header file for auxiliary alias declarations.
Header file for the Max class template.
Evaluation of the expression type of a dense matrix/transpose dense matrix subtraction.Via this type trait it is possible to evaluate the resulting expression type of a dense matrix/transpose dense matrix subtraction. Given the row-major dense matrix type MT1 and the column-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a row-major dense matrix type or MT2 is not a column-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: DMatTDMatSubExprTrait.h:81
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDMatSMatAddExpr.h:153
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
Evaluation of the expression type of a dense matrix/dense matrix subtraction.Via this type trait it i...
Definition: DMatDMatSubExprTrait.h:76
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b) noexcept
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:721
Header file for basic type definitions.
Evaluation of the expression type of a dense matrix/dense matrix addition.Via this type trait it is p...
Definition: DMatDMatAddExprTrait.h:76
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.
Header file for the serial shim.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
TDMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TDMatSMatAddExpr class.
Definition: TDMatSMatAddExpr.h:182
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TDMatSMatAddExpr.h:239
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
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
Header file for the AddExprTrait class template.
Evaluation of the expression type of a dense matrix/transpose dense matrix addition.Via this type trait it is possible to evaluate the resulting expression type of a dense matrix/transpose dense matrix addition. Given the row-major dense matrix type MT1 and the column-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a row-major dense matrix type or MT2 is not a column-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: DMatTDMatAddExprTrait.h:81
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
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
Constraints on the storage order of matrix types.
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
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
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:291
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:165
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
Constraint on the data type.
Constraint on the data type.
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
typename RowExprTrait< MT >::Type RowExprTrait_
Auxiliary alias declaration for the RowExprTrait type trait.The RowExprTrait_ alias declaration provi...
Definition: RowExprTrait.h:134
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:219
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
typename DMatSMatAddExprTrait< MT1, MT2 >::Type DMatSMatAddExprTrait_
Auxiliary alias declaration for the DMatSMatAddExprTrait class template.The DMatSMatAddExprTrait_ ali...
Definition: DMatSMatAddExprTrait.h:118
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: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
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:116
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:292
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.
#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 DenseMatrix base class.
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
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TDMatSMatAddExpr.h:213
Header file for the IsLower type trait.
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDMatSMatAddExpr.h:259
Constraints on the storage order of matrix types.
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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:109
Compile time check for dense matrix types.This type trait tests whether or not the given template par...
Definition: IsDenseMatrix.h:78
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the IsDenseMatrix type trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDMatSMatAddExpr.h:284
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: TDMatSMatAddExpr.h:229
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose dense matrix operand.
Definition: TDMatSMatAddExpr.h:249
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDMatSMatAddExpr.h:159
Header file for the SubmatrixExprTrait class template.
#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
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.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDMatSMatAddExpr.h:271
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
Header file for the addition trait.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:117
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:114
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:152
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
Constraint on the data type.
typename TDMatSMatAddExprTrait< MT1, MT2 >::Type TDMatSMatAddExprTrait_
Auxiliary alias declaration for the TDMatSMatAddExprTrait class template.The TDMatSMatAddExprTrait_ a...
Definition: TDMatSMatAddExprTrait.h:119
#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
TDMatSMatAddExpr< MT1, MT2 > This
Type of this TDMatSMatAddExpr instance.
Definition: TDMatSMatAddExpr.h:149
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Constraints on the storage order of matrix types.
Header file for the MatMatAddExpr base class.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:156
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TDMatSMatAddExpr.h:198
Header file for the IsRowMajorMatrix type trait.
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TDMatSMatAddExpr.h:130
Expression object for dense matrix-sparse matrix additions.The TDMatSMatAddExpr class represents the ...
Definition: Forward.h:140
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
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:115
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
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:150
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.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TDMatSMatAddExpr.h:151
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:245
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
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:162
Header file for the IsExpression type trait class.
Header file for the function trace functionality.