35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDMATSMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TDMATSMATADDEXPR_H_ 96 template<
typename MT1
98 class TDMatSMatAddExpr
99 :
public MatMatAddExpr< DenseMatrix< TDMatSMatAddExpr<MT1,MT2>, true > >
100 ,
private Computation
130 template<
typename MT >
131 struct UseSMPAssign {
132 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
160 enum :
bool { simdEnabled =
false };
163 enum :
bool { smpAssignable =
false };
204 if( i >=
lhs_.rows() ) {
207 if( j >=
lhs_.columns() ) {
219 inline size_t rows() const noexcept {
230 return lhs_.columns();
260 template<
typename T >
261 inline bool canAlias(
const T* alias )
const noexcept {
263 (
rhs_.canAlias( alias ) );
273 template<
typename T >
274 inline bool isAliased(
const T* alias )
const noexcept {
275 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
297 template<
typename MT
307 addAssign( ~lhs, rhs.rhs_ );
310 assign ( ~lhs, rhs.lhs_ );
311 addAssign( ~lhs, rhs.rhs_ );
329 template<
typename MT
347 const TmpType tmp(
serial( rhs ) );
366 template<
typename MT
375 addAssign( ~lhs, rhs.lhs_ );
376 addAssign( ~lhs, rhs.rhs_ );
398 template<
typename MT
407 subAssign( ~lhs, rhs.lhs_ );
408 subAssign( ~lhs, rhs.rhs_ );
430 template<
typename MT
444 schurAssign( ~lhs, tmp );
475 template<
typename MT
510 template<
typename MT
529 const TmpType tmp( rhs );
550 template<
typename MT
585 template<
typename MT
620 template<
typename MT
704 template<
typename MT1
706 inline decltype(
auto)
752 template<
typename MT1
754 inline decltype(
auto)
790 template<
typename MT1
794 inline decltype(
auto)
799 return ( lhs.leftOperand() + (~rhs) ) + lhs.rightOperand();
818 template<
typename MT1
822 inline decltype(
auto)
827 return ( lhs.leftOperand() - (~rhs) ) + lhs.rightOperand();
843 template<
typename MT1,
typename MT2 >
844 struct Size< TDMatSMatAddExpr<MT1,MT2>, 0UL >
845 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
848 template<
typename MT1,
typename MT2 >
849 struct Size< TDMatSMatAddExpr<MT1,MT2>, 1UL >
850 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
866 template<
typename MT1,
typename MT2 >
868 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
884 template<
typename MT1,
typename MT2 >
886 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
902 template<
typename MT1,
typename MT2 >
903 struct IsLower< TDMatSMatAddExpr<MT1,MT2> >
904 :
public And< IsLower<MT1>, IsLower<MT2> >
920 template<
typename MT1,
typename MT2 >
921 struct IsUniLower< TDMatSMatAddExpr<MT1,MT2> >
922 :
public Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
923 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >
939 template<
typename MT1,
typename MT2 >
941 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
957 template<
typename MT1,
typename MT2 >
958 struct IsUpper< TDMatSMatAddExpr<MT1,MT2> >
959 :
public And< IsUpper<MT1>, IsUpper<MT2> >
975 template<
typename MT1,
typename MT2 >
976 struct IsUniUpper< TDMatSMatAddExpr<MT1,MT2> >
977 :
public Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
978 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >
994 template<
typename MT1,
typename MT2 >
996 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
#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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:155
Header file for auxiliary alias declarations.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDMatSMatAddExpr.h:149
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
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
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:949
Header file for basic type definitions.
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:70
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:146
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.
#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:172
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TDMatSMatAddExpr.h:120
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TDMatSMatAddExpr.h:229
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:701
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
Header file for the AddExprTrait class template.
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:87
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:733
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: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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:152
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
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:281
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:363
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDMatSMatAddExpr.h:143
Constraint on the data type.
Constraint on the data type.
Header file for the Maximum class template.
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 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:112
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:104
#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
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:282
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 DenseMatrix base class.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the IsOperation type trait class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TDMatSMatAddExpr.h:203
Header file for the IsLower type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDMatSMatAddExpr.h:249
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
#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:107
Constraint on the data type.
Header file for all forward declarations for expression class templates.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDMatSMatAddExpr.h:274
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:219
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose dense matrix operand.
Definition: TDMatSMatAddExpr.h:239
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
#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.
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:140
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:105
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDMatSMatAddExpr.h:261
Header file for the addition trait.
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
Constraint on the data type.
#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
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.
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
Header file for the MatMatAddExpr base class.
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
#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
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:142
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TDMatSMatAddExpr.h:188
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
Expression object for dense matrix-sparse matrix additions.The TDMatSMatAddExpr class represents the ...
Definition: Forward.h:150
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:106
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.
Header file for the IsHermitian type trait.
Header file for the Size type trait.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:291
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TDMatSMatAddExpr.h:141
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:107
#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:95
Header file for the IsExpression type trait class.
Header file for the function trace functionality.