35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATSMATADDEXPR_H_ 104 template<
typename MT1
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 addAssign( ~lhs, rhs.
rhs_ );
319 assign ( ~lhs, rhs.
lhs_ );
320 addAssign( ~lhs, rhs.
rhs_ );
338 template<
typename MT
356 const TmpType tmp(
serial( rhs ) );
374 template<
typename MT
383 addAssign( ~lhs, rhs.
lhs_ );
384 addAssign( ~lhs, rhs.
rhs_ );
405 template<
typename MT
414 subAssign( ~lhs, rhs.
lhs_ );
415 subAssign( ~lhs, rhs.
rhs_ );
446 template<
typename MT
481 template<
typename MT
500 const TmpType tmp( rhs );
520 template<
typename MT
554 template<
typename MT
628 template<
typename T1
671 template<
typename T1
709 template<
typename T1
738 template<
typename T1
764 template<
typename MT1,
typename MT2,
bool SO >
765 struct Rows< DMatSMatAddExpr<MT1,MT2,SO> >
766 :
public Max< Rows<MT1>, Rows<MT2> >
782 template<
typename MT1,
typename MT2,
bool SO >
783 struct Columns< DMatSMatAddExpr<MT1,MT2,SO> >
784 :
public Max< Columns<MT1>, Columns<MT2> >
800 template<
typename MT1,
typename MT2,
bool SO >
802 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
818 template<
typename MT1,
typename MT2,
bool SO >
820 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
836 template<
typename MT1,
typename MT2,
bool SO >
837 struct IsLower< DMatSMatAddExpr<MT1,MT2,SO> >
838 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
854 template<
typename MT1,
typename MT2,
bool SO >
855 struct IsUniLower< DMatSMatAddExpr<MT1,MT2,SO> >
856 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
857 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
873 template<
typename MT1,
typename MT2,
bool SO >
875 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
891 template<
typename MT1,
typename MT2,
bool SO >
892 struct IsUpper< DMatSMatAddExpr<MT1,MT2,SO> >
893 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
909 template<
typename MT1,
typename MT2,
bool SO >
910 struct IsUniUpper< DMatSMatAddExpr<MT1,MT2,SO> >
911 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
912 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
928 template<
typename MT1,
typename MT2,
bool SO >
930 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
946 template<
typename MT1,
typename MT2,
typename MT3 >
966 template<
typename MT1,
typename MT2,
typename MT3 >
986 template<
typename MT1,
typename MT2,
typename MT3 >
1006 template<
typename MT1,
typename MT2,
typename MT3 >
1026 template<
typename MT1,
typename MT2,
typename MT3 >
1046 template<
typename MT1,
typename MT2,
typename MT3 >
1066 template<
typename MT1,
typename MT2,
typename MT3 >
1086 template<
typename MT1,
typename MT2,
typename MT3 >
1106 template<
typename MT1,
typename MT2,
bool SO,
bool AF >
1121 template<
typename MT1,
typename MT2,
bool SO >
1136 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
#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
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
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatSMatAddExpr.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
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSMatAddExpr.h:283
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
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
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.
Header file for the IsColumnMajorMatrix type trait.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatAddExpr.h:212
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_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:116
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:161
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
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
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatSMatAddExpr.h:228
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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatSMatAddExpr.h:155
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: DMatSMatAddExpr.h:291
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatAddExpr.h:197
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.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
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
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.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: DMatSMatAddExpr.h:258
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
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
Header file for the Or class template.
#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.
DMatSMatAddExpr< MT1, MT2, SO > This
Type of this DMatSMatAddExpr instance.
Definition: DMatSMatAddExpr.h:148
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:65
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
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatSMatAddExpr.h:129
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatAddExpr.h:151
#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
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatSMatAddExpr.h:158
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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:109
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.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:113
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
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatSMatAddExpr.h:248
DMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatSMatAddExpr class.
Definition: DMatSMatAddExpr.h:181
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.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:164
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
Header file for the addition trait.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:115
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
Constraint on the data type.
#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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatAddExpr.h:150
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSMatAddExpr.h:270
Header file for the MatMatAddExpr base class.
typename DMatTSMatAddExprTrait< MT1, MT2 >::Type DMatTSMatAddExprTrait_
Auxiliary alias declaration for the DMatTSMatAddExprTrait class template.The DMatTSMatAddExprTrait_ a...
Definition: DMatTSMatAddExprTrait.h:120
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
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
Evaluation of the expression type of a transpose dense matrix/transpose dense matrix subtraction...
Definition: TDMatTDMatSubExprTrait.h:77
Header file for the IsRowMajorMatrix type trait.
Expression object for dense matrix-sparse matrix additions.The DMatSMatAddExpr class represents the c...
Definition: DMatSMatAddExpr.h:107
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatSMatAddExpr.h:238
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
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatSMatAddExpr.h:149
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSMatAddExpr.h:152
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.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:114
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:245
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
#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.