35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDMATSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TDMATSMATSUBEXPR_H_ 95 template<
typename MT1
97 class TDMatSMatSubExpr
98 :
public MatMatSubExpr< DenseMatrix< TDMatSMatSubExpr<MT1,MT2>, true > >
129 template<
typename MT >
130 struct UseSMPAssign {
131 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
159 enum :
bool { simdEnabled =
false };
162 enum :
bool { smpAssignable =
false };
203 if( i >=
lhs_.rows() ) {
206 if( j >=
lhs_.columns() ) {
218 inline size_t rows() const noexcept {
229 return lhs_.columns();
259 template<
typename T >
260 inline bool canAlias(
const T* alias )
const noexcept {
262 (
rhs_.canAlias( alias ) );
272 template<
typename T >
273 inline bool isAliased(
const T* alias )
const noexcept {
274 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
296 template<
typename MT
306 subAssign( ~lhs, rhs.rhs_ );
309 assign ( ~lhs, rhs.lhs_ );
310 subAssign( ~lhs, rhs.rhs_ );
328 template<
typename MT
346 const TmpType tmp(
serial( rhs ) );
365 template<
typename MT
374 addAssign( ~lhs, rhs.lhs_ );
375 subAssign( ~lhs, rhs.rhs_ );
397 template<
typename MT
406 subAssign( ~lhs, rhs.lhs_ );
407 addAssign( ~lhs, rhs.rhs_ );
429 template<
typename MT
443 schurAssign( ~lhs, tmp );
474 template<
typename MT
509 template<
typename MT
528 const TmpType tmp( rhs );
549 template<
typename MT
584 template<
typename MT
619 template<
typename MT
703 template<
typename MT1
705 inline decltype(
auto)
741 template<
typename MT1
745 inline decltype(
auto)
750 return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
769 template<
typename MT1
773 inline decltype(
auto)
778 return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
794 template<
typename MT1,
typename MT2 >
795 struct Size< TDMatSMatSubExpr<MT1,MT2>, 0UL >
796 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
799 template<
typename MT1,
typename MT2 >
800 struct Size< TDMatSMatSubExpr<MT1,MT2>, 1UL >
801 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
817 template<
typename MT1,
typename MT2 >
819 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
835 template<
typename MT1,
typename MT2 >
837 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
853 template<
typename MT1,
typename MT2 >
854 struct IsLower< TDMatSMatSubExpr<MT1,MT2> >
855 :
public And< IsLower<MT1>, IsLower<MT2> >
871 template<
typename MT1,
typename MT2 >
872 struct IsUniLower< TDMatSMatSubExpr<MT1,MT2> >
873 :
public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
889 template<
typename MT1,
typename MT2 >
891 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
907 template<
typename MT1,
typename MT2 >
908 struct IsUpper< TDMatSMatSubExpr<MT1,MT2> >
909 :
public And< IsUpper<MT1>, IsUpper<MT2> >
925 template<
typename MT1,
typename MT2 >
926 struct IsUniUpper< TDMatSMatSubExpr<MT1,MT2> >
927 :
public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
943 template<
typename MT1,
typename MT2 >
945 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
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:280
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TDMatSMatSubExpr.h:140
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
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: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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDMatSMatSubExpr.h:141
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TDMatSMatSubExpr.h:218
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TDMatSMatSubExpr.h:202
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDMatSMatSubExpr.h:260
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
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
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDMatSMatSubExpr.h:248
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:139
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:273
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:281
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:58
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:238
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:119
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 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:106
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:104
Constraint on the data type.
Header file for all forward declarations for expression class templates.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDMatSMatSubExpr.h:142
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:145
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TDMatSMatSubExpr.h:228
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:151
#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.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDMatSMatSubExpr.h:154
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: TDMatSMatSubExpr.h:105
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: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
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TDMatSMatSubExpr.h:187
TDMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TDMatSMatSubExpr class.
Definition: TDMatSMatSubExpr.h:171
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:291
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
#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:107
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.
Header file for the Size type trait.
#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:148
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:103