35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_H_ 93 template<
typename MT1
97 :
public MatMatSubExpr< DenseMatrix< DMatSMatSubExpr<MT1,MT2,SO>, SO > >
128 template<
typename MT >
129 struct UseSMPAssign {
130 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
158 enum :
bool { simdEnabled =
false };
161 enum :
bool { smpAssignable =
false };
202 if( i >=
lhs_.rows() ) {
205 if( j >=
lhs_.columns() ) {
217 inline size_t rows() const noexcept {
228 return lhs_.columns();
258 template<
typename T >
259 inline bool canAlias(
const T* alias )
const noexcept {
261 (
rhs_.canAlias( alias ) );
271 template<
typename T >
272 inline bool isAliased(
const T* alias )
const noexcept {
273 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
295 template<
typename MT
305 subAssign( ~lhs, rhs.
rhs_ );
308 assign ( ~lhs, rhs.
lhs_ );
309 subAssign( ~lhs, rhs.
rhs_ );
327 template<
typename MT
345 const TmpType tmp(
serial( rhs ) );
363 template<
typename MT
372 addAssign( ~lhs, rhs.
lhs_ );
373 subAssign( ~lhs, rhs.
rhs_ );
394 template<
typename MT
403 subAssign( ~lhs, rhs.
lhs_ );
404 addAssign( ~lhs, rhs.
rhs_ );
425 template<
typename MT
439 schurAssign( ~lhs, tmp );
470 template<
typename MT
505 template<
typename MT
524 const TmpType tmp( rhs );
544 template<
typename MT
578 template<
typename MT
613 template<
typename MT
694 template<
typename MT1
697 inline decltype(
auto)
733 template<
typename MT1
738 inline decltype(
auto)
762 template<
typename MT1
767 inline decltype(
auto)
788 template<
typename MT1,
typename MT2,
bool SO >
789 struct Size< DMatSMatSubExpr<MT1,MT2,SO>, 0UL >
790 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
793 template<
typename MT1,
typename MT2,
bool SO >
794 struct Size< DMatSMatSubExpr<MT1,MT2,SO>, 1UL >
795 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
811 template<
typename MT1,
typename MT2,
bool SO >
813 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
829 template<
typename MT1,
typename MT2,
bool SO >
831 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
847 template<
typename MT1,
typename MT2,
bool SO >
848 struct IsLower< DMatSMatSubExpr<MT1,MT2,SO> >
849 :
public And< IsLower<MT1>, IsLower<MT2> >
865 template<
typename MT1,
typename MT2,
bool SO >
866 struct IsUniLower< DMatSMatSubExpr<MT1,MT2,SO> >
867 :
public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
883 template<
typename MT1,
typename MT2,
bool SO >
885 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
901 template<
typename MT1,
typename MT2,
bool SO >
902 struct IsUpper< DMatSMatSubExpr<MT1,MT2,SO> >
903 :
public And< IsUpper<MT1>, IsUpper<MT2> >
919 template<
typename MT1,
typename MT2,
bool SO >
920 struct IsUniUpper< DMatSMatSubExpr<MT1,MT2,SO> >
921 :
public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
937 template<
typename MT1,
typename MT2,
bool SO >
939 :
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
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:280
Header file for auxiliary alias declarations.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:103
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.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSMatSubExpr.h:259
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:70
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatSubExpr.h:186
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_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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSMatSubExpr.h:141
#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: DMatSMatSubExpr.h:227
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
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 isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSMatSubExpr.h:272
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
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:150
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: DMatSMatSubExpr.h:144
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.
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.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:279
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: DMatSMatSubExpr.h:247
Header file for the IsSymmetric type trait.
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:67
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:105
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatSMatSubExpr.h:147
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatSubExpr.h:139
#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.
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.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatSMatSubExpr.h:138
Header file for the IsOperation type trait 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.
Header file for all forward declarations for expression class templates.
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 noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatSMatSubExpr.h:237
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatSMatSubExpr.h:118
Header file for run time assertion macros.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:104
Expression object for dense matrix-sparse matrix subtractions.The DMatSMatSubExpr class represents th...
Definition: DMatSMatSubExpr.h:96
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatSubExpr.h:201
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatSMatSubExpr.h:217
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
DMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatSMatSubExpr class.
Definition: DMatSMatSubExpr.h:170
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatSubExpr.h:140
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
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
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:102
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
#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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:153
Header file for the IsExpression type trait class.
Header file for the function trace functionality.