35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_ 103 template<
typename MT1
106 class SMatDMatSubExpr :
public DenseMatrix< SMatDMatSubExpr<MT1,MT2,SO>, SO >
107 ,
private MatMatSubExpr
108 ,
private Computation
138 template<
typename MT >
139 struct UseSMPAssign {
140 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
168 enum :
bool { simdEnabled =
false };
171 enum :
bool { smpAssignable =
false };
211 inline ReturnType
at(
size_t i,
size_t j )
const {
212 if( i >=
lhs_.rows() ) {
215 if( j >=
lhs_.columns() ) {
227 inline size_t rows() const noexcept {
238 return lhs_.columns();
268 template<
typename T >
269 inline bool canAlias(
const T* alias )
const noexcept {
270 return (
lhs_.canAlias( alias ) ) ||
281 template<
typename T >
282 inline bool isAliased(
const T* alias )
const noexcept {
283 return lhs_.isAliased( alias ) ||
rhs_.isAliased( alias );
305 template<
typename MT
314 assign ( ~lhs, -rhs.rhs_ );
315 addAssign( ~lhs, rhs.lhs_ );
332 template<
typename MT
350 const TmpType tmp(
serial( rhs ) );
368 template<
typename MT
377 subAssign( ~lhs, rhs.rhs_ );
378 addAssign( ~lhs, rhs.lhs_ );
399 template<
typename MT
408 addAssign( ~lhs, rhs.rhs_ );
409 subAssign( ~lhs, rhs.lhs_ );
440 template<
typename MT
470 template<
typename MT
489 const TmpType tmp( rhs );
509 template<
typename MT
543 template<
typename MT
620 template<
typename T1
658 template<
typename T1
668 return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
687 template<
typename T1
697 return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
713 template<
typename MT1,
typename MT2,
bool SO >
714 struct Rows< SMatDMatSubExpr<MT1,MT2,SO> >
715 :
public Max< Rows<MT1>, Rows<MT2> >
731 template<
typename MT1,
typename MT2,
bool SO >
732 struct Columns< SMatDMatSubExpr<MT1,MT2,SO> >
733 :
public Max< Columns<MT1>, Columns<MT2> >
749 template<
typename MT1,
typename MT2,
bool SO >
751 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
767 template<
typename MT1,
typename MT2,
bool SO >
769 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
785 template<
typename MT1,
typename MT2,
bool SO >
786 struct IsLower< SMatDMatSubExpr<MT1,MT2,SO> >
787 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
803 template<
typename MT1,
typename MT2,
bool SO >
804 struct IsUniLower< SMatDMatSubExpr<MT1,MT2,SO> >
805 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
821 template<
typename MT1,
typename MT2,
bool SO >
823 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
839 template<
typename MT1,
typename MT2,
bool SO >
840 struct IsUpper< SMatDMatSubExpr<MT1,MT2,SO> >
841 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
857 template<
typename MT1,
typename MT2,
bool SO >
858 struct IsUniUpper< SMatDMatSubExpr<MT1,MT2,SO> >
859 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
875 template<
typename MT1,
typename MT2,
bool SO >
877 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
893 template<
typename MT1,
typename MT2,
typename MT3 >
913 template<
typename MT1,
typename MT2,
typename MT3 >
933 template<
typename MT1,
typename MT2,
typename MT3 >
953 template<
typename MT1,
typename MT2,
typename MT3 >
973 template<
typename MT1,
typename MT2,
typename MT3 >
993 template<
typename MT1,
typename MT2,
typename MT3 >
1013 template<
typename MT1,
typename MT2,
typename MT3 >
1033 template<
typename MT1,
typename MT2,
typename MT3 >
1053 template<
typename MT1,
typename MT2,
bool SO,
bool AF >
1068 template<
typename MT1,
typename MT2,
bool SO >
1083 template<
typename MT1,
typename MT2,
bool SO >
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.
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
SMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatDMatSubExpr class.
Definition: SMatDMatSubExpr.h:180
Evaluation of the expression type of a transpose dense matrix/dense matrix subtraction.Via this type trait it is possible to evaluate the resulting expression type of a transpose dense matrix/dense matrix subtraction. Given the column-major dense matrix type MT1 and the row-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a column-major dense matrix type or MT2 is not a row-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TDMatDMatSubExprTrait.h:80
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.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatDMatSubExpr.h:128
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.
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:160
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:163
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatDMatSubExpr.h:154
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
Header file for the IsSparseMatrix type trait.
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:63
typename SMatDMatSubExprTrait< MT1, MT2 >::Type SMatDMatSubExprTrait_
Auxiliary alias declaration for the SMatDMatSubExprTrait class template.The SMatDMatSubExprTrait_ ali...
Definition: SMatDMatSubExprTrait.h:118
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.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDMatSubExpr.h:211
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDMatSubExpr.h:269
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:289
Header file for the AddExprTrait class template.
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
typename TDMatTSMatAddExprTrait< MT1, MT2 >::Type TDMatTSMatAddExprTrait_
Auxiliary alias declaration for the TDMatTSMatAddExprTrait class template.The TDMatTSMatAddExprTrait_...
Definition: TDMatTSMatAddExprTrait.h:120
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDMatSubExpr.h:237
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:290
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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDMatSubExpr.h:282
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
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
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:112
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDMatSubExpr.h:150
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.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatDMatSubExpr.h:151
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDMatSubExpr.h:196
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Expression object for sparse matrix-dense matrix subtractions.The SMatDMatSubExpr class represents th...
Definition: Forward.h:101
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Evaluation of the expression type of a transpose dense matrix/dense matrix addition.Via this type trait it is possible to evaluate the resulting expression type of a transpose dense matrix/dense matrix addition. Given the column-major dense matrix type MT1 and the row-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a column-major dense matrix type or MT2 is not a row-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TDMatDMatAddExprTrait.h:80
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatDMatSubExpr.h:148
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.
typename TSMatDMatSubExprTrait< MT1, MT2 >::Type TSMatDMatSubExprTrait_
Auxiliary alias declaration for the TSMatDMatSubExprTrait class template.The TSMatDMatSubExprTrait_ a...
Definition: TSMatDMatSubExprTrait.h:119
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
typename DMatSMatAddExprTrait< MT1, MT2 >::Type DMatSMatAddExprTrait_
Auxiliary alias declaration for the DMatSMatAddExprTrait class template.The DMatSMatAddExprTrait_ ali...
Definition: DMatSMatAddExprTrait.h:118
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
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.
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatDMatSubExpr.h:247
Header file for the IsLower type trait.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:114
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
#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
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.
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
Header file for the SubmatrixExprTrait class template.
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
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
#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
typename DMatTSMatAddExprTrait< MT1, MT2 >::Type DMatTSMatAddExprTrait_
Auxiliary alias declaration for the DMatTSMatAddExprTrait class template.The DMatTSMatAddExprTrait_ a...
Definition: DMatTSMatAddExprTrait.h:120
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDMatSubExpr.h:227
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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:115
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: SMatDMatSubExpr.h:257
Evaluation of the expression type of a transpose dense matrix/transpose dense matrix subtraction...
Definition: TDMatTDMatSubExprTrait.h:77
SMatDMatSubExpr< MT1, MT2, SO > This
Type of this SMatDMatSubExpr instance.
Definition: SMatDMatSubExpr.h:147
Header file for the IsRowMajorMatrix type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDMatSubExpr.h:149
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatDMatSubExpr.h:157
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
#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.
Evaluation of the expression type of a transpose dense matrix/transpose dense matrix addition...
Definition: TDMatTDMatAddExprTrait.h:77
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
typename TSMatTDMatSubExprTrait< MT1, MT2 >::Type TSMatTDMatSubExprTrait_
Auxiliary alias declaration for the TSMatTDMatSubExprTrait class template.The TSMatTDMatSubExprTrait_...
Definition: TSMatTDMatSubExprTrait.h:120
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
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:113
#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.