35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDMATSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TDMATSMATSUBEXPR_H_ 98 template<
typename MT1
100 class TDMatSMatSubExpr
101 :
public MatMatSubExpr< DenseMatrix< TDMatSMatSubExpr<MT1,MT2>, true > >
102 ,
private Computation
132 template<
typename MT >
133 struct UseSMPAssign {
134 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
162 enum :
bool { simdEnabled =
false };
165 enum :
bool { smpAssignable =
false };
206 if( i >=
lhs_.rows() ) {
209 if( j >=
lhs_.columns() ) {
221 inline size_t rows() const noexcept {
232 return lhs_.columns();
262 template<
typename T >
263 inline bool canAlias(
const T* alias )
const noexcept {
265 (
rhs_.canAlias( alias ) );
275 template<
typename T >
276 inline bool isAliased(
const T* alias )
const noexcept {
277 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
299 template<
typename MT
309 subAssign( ~lhs, rhs.rhs_ );
312 assign ( ~lhs, rhs.lhs_ );
313 subAssign( ~lhs, rhs.rhs_ );
331 template<
typename MT
349 const TmpType tmp(
serial( rhs ) );
368 template<
typename MT
377 addAssign( ~lhs, rhs.lhs_ );
378 subAssign( ~lhs, rhs.rhs_ );
400 template<
typename MT
409 subAssign( ~lhs, rhs.lhs_ );
410 addAssign( ~lhs, rhs.rhs_ );
432 template<
typename MT
446 schurAssign( ~lhs, tmp );
477 template<
typename MT
512 template<
typename MT
531 const TmpType tmp( rhs );
552 template<
typename MT
587 template<
typename MT
622 template<
typename MT
706 template<
typename MT1
708 inline decltype(
auto)
744 template<
typename MT1
748 inline decltype(
auto)
753 return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
772 template<
typename MT1
776 inline decltype(
auto)
781 return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
797 template<
typename MT1,
typename MT2 >
798 struct Rows< TDMatSMatSubExpr<MT1,MT2> >
799 :
public Maximum< Rows<MT1>, Rows<MT2> >
815 template<
typename MT1,
typename MT2 >
816 struct Columns< TDMatSMatSubExpr<MT1,MT2> >
817 :
public Maximum< Columns<MT1>, Columns<MT2> >
833 template<
typename MT1,
typename MT2 >
835 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
851 template<
typename MT1,
typename MT2 >
853 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
869 template<
typename MT1,
typename MT2 >
870 struct IsLower< TDMatSMatSubExpr<MT1,MT2> >
871 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
887 template<
typename MT1,
typename MT2 >
888 struct IsUniLower< TDMatSMatSubExpr<MT1,MT2> >
889 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
905 template<
typename MT1,
typename MT2 >
907 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
923 template<
typename MT1,
typename MT2 >
924 struct IsUpper< TDMatSMatSubExpr<MT1,MT2> >
925 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
941 template<
typename MT1,
typename MT2 >
942 struct IsUniUpper< TDMatSMatSubExpr<MT1,MT2> >
943 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
959 template<
typename MT1,
typename MT2 >
961 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
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.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: TDMatSMatSubExpr.h:283
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TDMatSMatSubExpr.h:143
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.
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 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:786
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:71
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDMatSMatSubExpr.h:144
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
#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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TDMatSMatSubExpr.h:221
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:205
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:88
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDMatSMatSubExpr.h:263
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: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
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDMatSMatSubExpr.h:251
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:142
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:112
Constraint on the data type.
Constraint on the data type.
Header file for the Maximum class template.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDMatSMatSubExpr.h:276
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:284
Header file for the IsTemporary type trait class.
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.
#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:241
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
#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
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TDMatSMatSubExpr.h:122
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.
Header file for the IsOperation type trait class.
Header file for the IsLower type trait.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:109
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
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:107
Constraint on the data type.
Header file for all forward declarations for expression class templates.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDMatSMatSubExpr.h:145
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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TDMatSMatSubExpr.h:148
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TDMatSMatSubExpr.h:231
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:154
#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.
Utility type for generic codes.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:157
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:108
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
#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: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
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:3082
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TDMatSMatSubExpr.h:190
TDMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TDMatSMatSubExpr class.
Definition: TDMatSMatSubExpr.h:174
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:250
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
#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:108
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 SubExprTrait class template.
#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:152
#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
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDMatSMatSubExpr.h:151
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:106