35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDMATSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TDMATSMATSUBEXPR_H_ 105 template<
typename MT1
107 class TDMatSMatSubExpr :
public DenseMatrix< TDMatSMatSubExpr<MT1,MT2>, true >
108 ,
private MatMatSubExpr
109 ,
private Computation
139 template<
typename MT >
140 struct UseSMPAssign {
141 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
169 enum :
bool { simdEnabled =
false };
172 enum :
bool { smpAssignable =
false };
212 inline ReturnType
at(
size_t i,
size_t j )
const {
213 if( i >=
lhs_.rows() ) {
216 if( j >=
lhs_.columns() ) {
228 inline size_t rows() const noexcept {
239 return lhs_.columns();
269 template<
typename T >
270 inline bool canAlias(
const T* alias )
const noexcept {
272 (
rhs_.canAlias( alias ) );
282 template<
typename T >
283 inline bool isAliased(
const T* alias )
const noexcept {
284 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
306 template<
typename MT
316 subAssign( ~lhs, rhs.rhs_ );
319 assign ( ~lhs, rhs.lhs_ );
320 subAssign( ~lhs, rhs.rhs_ );
338 template<
typename MT
356 const TmpType tmp(
serial( rhs ) );
375 template<
typename MT
384 addAssign( ~lhs, rhs.lhs_ );
385 subAssign( ~lhs, rhs.rhs_ );
407 template<
typename MT
416 subAssign( ~lhs, rhs.lhs_ );
417 addAssign( ~lhs, rhs.rhs_ );
448 template<
typename MT
483 template<
typename MT
502 const TmpType tmp( rhs );
523 template<
typename MT
558 template<
typename MT
638 template<
typename T1
675 template<
typename T1
684 return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
703 template<
typename T1
712 return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
728 template<
typename MT1,
typename MT2 >
729 struct Rows< TDMatSMatSubExpr<MT1,MT2> >
730 :
public Max< Rows<MT1>, Rows<MT2> >
746 template<
typename MT1,
typename MT2 >
747 struct Columns< TDMatSMatSubExpr<MT1,MT2> >
748 :
public Max< Columns<MT1>, Columns<MT2> >
764 template<
typename MT1,
typename MT2 >
766 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
782 template<
typename MT1,
typename MT2 >
784 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
800 template<
typename MT1,
typename MT2 >
801 struct IsLower< TDMatSMatSubExpr<MT1,MT2> >
802 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
818 template<
typename MT1,
typename MT2 >
819 struct IsUniLower< TDMatSMatSubExpr<MT1,MT2> >
820 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
836 template<
typename MT1,
typename MT2 >
838 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
854 template<
typename MT1,
typename MT2 >
855 struct IsUpper< TDMatSMatSubExpr<MT1,MT2> >
856 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
872 template<
typename MT1,
typename MT2 >
873 struct IsUniUpper< TDMatSMatSubExpr<MT1,MT2> >
874 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
890 template<
typename MT1,
typename MT2 >
892 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
908 template<
typename MT1,
typename MT2,
typename MT3 >
928 template<
typename MT1,
typename MT2,
typename MT3 >
948 template<
typename MT1,
typename MT2,
typename MT3 >
968 template<
typename MT1,
typename MT2,
typename MT3 >
988 template<
typename MT1,
typename MT2,
bool AF >
1003 template<
typename MT1,
typename MT2 >
1018 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
Constraint on the data type.
#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.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:116
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
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: TDMatSMatSubExpr.h:290
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
Header file for the subtraction trait.
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDMatSMatSubExpr.h:158
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:114
Header file for the IsSparseMatrix type trait.
Header file for the serial shim.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:164
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
Header file for the ColumnExprTrait class template.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TDMatSMatSubExpr.h:228
Header file for the IsColumnMajorMatrix type trait.
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TDMatSMatSubExpr.h:212
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.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDMatSMatSubExpr.h:270
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
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDMatSMatSubExpr.h:258
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
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TDMatSMatSubExpr.h:149
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDMatSMatSubExpr.h:283
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:161
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TDMatSMatSubExpr.h:291
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
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose dense matrix operand.
Definition: TDMatSMatSubExpr.h:248
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
#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
Header file for the MatMatSubExpr base class.
TDMatSMatSubExpr< MT1, MT2 > This
Type of this TDMatSMatSubExpr instance.
Definition: TDMatSMatSubExpr.h:148
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
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
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:115
#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
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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDMatSMatSubExpr.h:151
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
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.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TDMatSMatSubExpr.h:129
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TDMatSMatSubExpr.h:238
typename TDMatSMatSubExprTrait< MT1, MT2 >::Type TDMatSMatSubExprTrait_
Auxiliary alias declaration for the TDMatSMatSubExprTrait class template.The TDMatSMatSubExprTrait_ a...
Definition: TDMatSMatSubExprTrait.h:120
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TDMatSMatSubExpr.h:155
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.
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:113
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
typename DMatSMatSubExprTrait< MT1, MT2 >::Type DMatSMatSubExprTrait_
Auxiliary alias declaration for the DMatSMatSubExprTrait class template.The DMatSMatSubExprTrait_ ali...
Definition: DMatSMatSubExprTrait.h:118
#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
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.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDMatSMatSubExpr.h:152
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TDMatSMatSubExpr.h:150
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: TDMatSMatSubExpr.h:197
TDMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TDMatSMatSubExpr class.
Definition: TDMatSMatSubExpr.h:181
Header file for the IsRowMajorMatrix type trait.
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
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
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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:109
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.
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
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
Expression object for transpose dense matrix-sparse matrix subtractions.The TDMatSMatSubExpr class re...
Definition: Forward.h:142
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.