35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_ 97 template<
typename MT1
99 class TSMatDMatSubExpr
100 :
public MatMatSubExpr< DenseMatrix< TSMatDMatSubExpr<MT1,MT2>, false > >
101 ,
private Computation
131 template<
typename MT >
132 struct UseSMPAssign {
133 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
161 enum :
bool { simdEnabled =
false };
164 enum :
bool { smpAssignable =
false };
205 if( i >=
lhs_.rows() ) {
208 if( j >=
lhs_.columns() ) {
220 inline size_t rows() const noexcept {
231 return lhs_.columns();
261 template<
typename T >
262 inline bool canAlias(
const T* alias )
const noexcept {
263 return (
lhs_.canAlias( alias ) ) ||
274 template<
typename T >
275 inline bool isAliased(
const T* alias )
const noexcept {
276 return lhs_.isAliased( alias ) ||
rhs_.isAliased( alias );
298 template<
typename MT
307 assign ( ~lhs, -rhs.rhs_ );
308 addAssign( ~lhs, rhs.lhs_ );
325 template<
typename MT
343 const TmpType tmp(
serial( rhs ) );
362 template<
typename MT
371 subAssign( ~lhs, rhs.rhs_ );
372 addAssign( ~lhs, rhs.lhs_ );
394 template<
typename MT
403 addAssign( ~lhs, rhs.rhs_ );
404 subAssign( ~lhs, rhs.lhs_ );
426 template<
typename MT
440 schurAssign( ~lhs, tmp );
471 template<
typename MT
501 template<
typename MT
520 const TmpType tmp( rhs );
541 template<
typename MT
576 template<
typename MT
611 template<
typename MT
694 template<
typename MT1
696 inline decltype(
auto)
732 template<
typename MT1
736 inline decltype(
auto)
741 return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
760 template<
typename MT1
764 inline decltype(
auto)
769 return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
785 template<
typename MT1,
typename MT2 >
786 struct Rows< TSMatDMatSubExpr<MT1,MT2> >
787 :
public Maximum< Rows<MT1>, Rows<MT2> >
803 template<
typename MT1,
typename MT2 >
804 struct Columns< TSMatDMatSubExpr<MT1,MT2> >
805 :
public Maximum< Columns<MT1>, Columns<MT2> >
821 template<
typename MT1,
typename MT2 >
823 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
839 template<
typename MT1,
typename MT2 >
841 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
857 template<
typename MT1,
typename MT2 >
858 struct IsLower< TSMatDMatSubExpr<MT1,MT2> >
859 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
875 template<
typename MT1,
typename MT2 >
876 struct IsUniLower< TSMatDMatSubExpr<MT1,MT2> >
877 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
893 template<
typename MT1,
typename MT2 >
895 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
911 template<
typename MT1,
typename MT2 >
912 struct IsUpper< TSMatDMatSubExpr<MT1,MT2> >
913 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
929 template<
typename MT1,
typename MT2 >
930 struct IsUniUpper< TSMatDMatSubExpr<MT1,MT2> >
931 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
947 template<
typename MT1,
typename MT2 >
949 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatDMatSubExpr.h:142
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatDMatSubExpr.h:144
Header file for auxiliary alias declarations.
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.
Header file for basic type definitions.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:141
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:153
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 columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatDMatSubExpr.h:230
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 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
Header file for the Computation base class.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDMatSubExpr.h:240
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
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
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.
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:108
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.
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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:156
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
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 IsLower type trait.
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
Constraint on the data type.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatDMatSubExpr.h:189
Header file for all forward declarations for expression class templates.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:147
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:283
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:282
#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
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatDMatSubExpr.h:150
Header file for run time assertion macros.
Utility type for generic codes.
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
Expression object for transpose sparse matrix-dense matrix subtractions.The TSMatDMatSubExpr class re...
Definition: Forward.h:162
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDMatSubExpr.h:275
#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
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: TSMatDMatSubExpr.h:250
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
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:107
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatDMatSubExpr.h:204
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatDMatSubExpr.h:121
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatDMatSubExpr.h:262
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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:105
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.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatDMatSubExpr.h:220
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:106
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:143
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
#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
TSMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatDMatSubExpr class.
Definition: TSMatDMatSubExpr.h:173
Header file for the IsExpression type trait class.
Header file for the function trace functionality.