35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
103 template<
typename MT1
146 template<
typename MT >
149 enum { value = useAssign };
162 template<
typename MT >
163 struct UseSMPAssign {
164 enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
224 explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
306 return (*left_) - (*right_);
315 inline IntrinsicType
load()
const {
316 return left_.load() - right_.load();
327 return left_ == rhs.
left_;
338 return left_ != rhs.
left_;
349 return left_ < rhs.
left_;
360 return left_ > rhs.
left_;
371 return left_ <= rhs.
left_;
382 return left_ >= rhs.
left_;
393 return left_ - rhs.
left_;
443 enum { vectorizable = MT1::vectorizable && MT2::vectorizable &&
448 enum { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
488 inline ReturnType
at(
size_t i,
size_t j )
const {
489 if( i >=
lhs_.rows() ) {
492 if( j >=
lhs_.columns() ) {
512 const IntrinsicType xmm1(
lhs_.load(i,j) );
513 const IntrinsicType xmm2(
rhs_.load(i,j) );
556 return lhs_.columns();
586 template<
typename T >
599 template<
typename T >
601 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
611 return lhs_.isAligned() &&
rhs_.isAligned();
621 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
646 template<
typename MT
657 subAssign( ~lhs, rhs.
rhs_ );
660 assign ( ~lhs, rhs.
lhs_ );
661 subAssign( ~lhs, rhs.
rhs_ );
681 template<
typename MT
700 const TmpType tmp(
serial( rhs ) );
720 template<
typename MT
722 friend inline typename EnableIf< UseAssign<MT> >::Type
730 addAssign( ~lhs, rhs.lhs_ );
731 subAssign( ~lhs, rhs.rhs_ );
754 template<
typename MT
756 friend inline typename EnableIf< UseAssign<MT> >::Type
764 subAssign( ~lhs, rhs.lhs_ );
765 addAssign( ~lhs, rhs.rhs_ );
796 template<
typename MT
798 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
806 if( !IsExpression<MT1>::value &&
isSame( ~lhs, rhs.lhs_ ) ) {
831 template<
typename MT
833 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
838 typedef typename SelectType< SO == SO2, ResultType, OppositeType >::Type TmpType;
850 const TmpType tmp( rhs );
870 template<
typename MT
872 friend inline typename EnableIf< UseAssign<MT> >::Type
904 template<
typename MT
906 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
976 template<
typename T1
979 inline const DMatDMatSubExpr<T1,T2,SO>
1003 template<
typename MT1,
typename MT2,
bool SO >
1005 :
public Max< Rows<MT1>, Rows<MT2> >
1021 template<
typename MT1,
typename MT2,
bool SO >
1023 :
public Max< Columns<MT1>, Columns<MT2> >
1039 template<
typename MT1,
typename MT2,
bool SO >
1041 :
public IsTrue< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1057 template<
typename MT1,
typename MT2,
bool SO >
1059 :
public IsTrue< And< IsPadded<MT1>, IsPadded<MT2> >::value >
1075 template<
typename MT1,
typename MT2,
bool SO >
1077 :
public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1093 template<
typename MT1,
typename MT2,
bool SO >
1095 :
public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1111 template<
typename MT1,
typename MT2,
bool SO >
1113 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
1129 template<
typename MT1,
typename MT2,
bool SO >
1131 :
public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1147 template<
typename MT1,
typename MT2,
bool SO >
1149 :
public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1165 template<
typename MT1,
typename MT2,
bool SO >
1167 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1183 template<
typename MT1,
typename MT2,
bool SO >
1185 :
public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1201 template<
typename MT1,
typename MT2,
bool SO >
1203 :
public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1219 template<
typename MT1,
typename MT2,
bool SO,
bool AF >
1224 typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1225 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1234 template<
typename MT1,
typename MT2,
bool SO >
1239 typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1240 ,
typename RowExprTrait<const MT2>::Type >::Type Type;
1249 template<
typename MT1,
typename MT2,
bool SO >
1254 typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1255 ,
typename ColumnExprTrait<const MT2>::Type >::Type Type;
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
Pointer difference type of the Blaze library.
Header file for the Max class template.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatSubExpr.h:273
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:305
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
Header file for the Rows type trait.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:261
Header file for the IsUniUpper type trait.
Header file for the subtraction trait.
Header file for basic type definitions.
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector)
Returns the current size/dimension of the vector.
Definition: Vector.h:252
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:587
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:359
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: DMatDMatSubExpr.h:179
ElementType * PointerType
Pointer return type.
Definition: DMatDMatSubExpr.h:200
IntrinsicTrait< ElementType >::Type IntrinsicType
Resulting intrinsic element type.
Definition: DMatDMatSubExpr.h:176
#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:81
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
DMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the DMatDMatSubExpr class.
Definition: DMatDMatSubExpr.h:457
#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:79
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:473
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b)
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:647
Header file for the ColumnExprTrait class template.
Header file for the IsSame and IsStrictlySame type traits.
IntrinsicType load() const
Access to the intrinsic elements of the matrix.
Definition: DMatDMatSubExpr.h:315
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
MT1::ReturnType RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:114
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:283
Header file for the And class template.
PointerType pointer
Pointer return type.
Definition: DMatDMatSubExpr.h:207
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.
Type relationship analysis.This class tests if the two data types A and B are equal. For this type comparison, the cv-qualifiers of both data types are ignored. If A and B are the same data type (ignoring the cv-qualifiers), then the value member enumeration is set to 1, the nested type definition Type is TrueType, and the class derives from TrueType. Otherwise value is set to 0, Type is FalseType, and the class derives from FalseType.
Definition: IsSame.h:158
MT2::ConstIterator RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:215
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Iterator over the elements of the dense matrix.
Definition: DMatDMatSubExpr.h:194
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:117
Constraint on the data type.
ResultType::ElementType ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:175
MT1::CompositeType CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:116
Constraint on the data type.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:90
DifferenceType difference_type
Difference between two iterators.
Definition: DMatDMatSubExpr.h:209
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:629
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:106
BLAZE_ALWAYS_INLINE IntrinsicType load(size_t i, size_t j) const
Access to the intrinsic elements of the matrix.
Definition: DMatDMatSubExpr.h:506
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
size_t rows() const
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:545
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:172
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:65
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatSubExpr.h:524
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:199
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exceptionThis macro encapsulates the default way of Bla...
Definition: Exception.h:331
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
DMatDMatSubExpr< MT1, MT2, SO > This
Type of this DMatDMatSubExpr instance.
Definition: DMatDMatSubExpr.h:171
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:198
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:185
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:436
Header file for the MatMatSubExpr base class.
ReferenceType reference
Reference return type.
Definition: DMatDMatSubExpr.h:208
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatSubExpr.h:620
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:642
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatSubExpr.h:224
#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:78
bool isAligned() const
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:610
Constraints on the storage order of matrix types.
MT1::ElementType ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:118
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatSubExpr.h:535
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:104
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:2586
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatSubExpr.h:174
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:188
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the IsPadded type trait.
Header file for the serial shim.
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:370
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:173
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:206
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:337
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:392
EnableIf< IsDenseMatrix< MT1 > >::Type 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 SubmatrixExprTrait class template.
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2587
MT2::CompositeType CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:117
Intrinsic characteristics of data types.The IntrinsicTrait class template provides the intrinsic char...
Definition: IntrinsicTrait.h:1232
Header file for run time assertion macros.
MT2::ElementType ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:119
EnableIf< IsDenseMatrix< MT1 > >::Type 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
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:326
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:416
MT2::ReturnType RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:115
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatSubExpr.h:249
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:428
#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:122
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:381
RightOperand rightOperand() const
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:575
Header file for all intrinsic functionality.
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatDMatSubExpr.h:202
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:201
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:113
const bool rowMajor
Storage order flag for row-major matrices.
Definition: StorageOrder.h:71
SelectType< useAssign, const ResultType, const DMatDMatSubExpr & >::Type CompositeType
Data type for composite expression templates.
Definition: DMatDMatSubExpr.h:182
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatSubExpr.h:205
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
EnableIf< IsDenseMatrix< MT1 > >::Type 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
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:565
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:132
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatSubExpr.h:435
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatSubExpr.h:600
MT1::ResultType RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:112
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:348
MT1::ConstIterator LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:212
#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:165
Base template for the SubTrait class.
Definition: SubTrait.h:138
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:628
Header file for the IsUpper type trait.
Header file for exception macros.
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:404
size_t columns() const
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:555
Header file for the IsHermitian type trait.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:295
Header file for the SubExprTrait class template.
System settings for the inline keywords.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#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
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:87
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatSubExpr.h:488
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:236