35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_ 90 template<
typename MT1
94 :
public MatMatSubExpr< DenseMatrix< DMatDMatSubExpr<MT1,MT2,SO>, SO > >
116 static constexpr
bool returnExpr = ( !IsTemporary_v<RN1> && !IsTemporary_v<RN2> );
131 ( RequiresEvaluation_v<MT1> || RequiresEvaluation_v<MT2> || !
returnExpr );
134 template<
typename MT >
136 static constexpr
bool UseAssign_v =
useAssign;
148 template<
typename MT >
149 static constexpr
bool UseSMPAssign_v =
291 return (*
left_) - (*right_);
300 inline auto load() const noexcept {
429 ( MT1::simdEnabled && MT2::simdEnabled && HasSIMDSub_v<ET1,ET2> );
478 if( i >=
lhs_.rows() ) {
481 if( j >=
lhs_.columns() ) {
500 return lhs_.load(i,j) -
rhs_.load(i,j);
531 inline size_t rows() const noexcept {
542 return lhs_.columns();
572 template<
typename T >
573 inline bool canAlias(
const T* alias )
const noexcept {
574 return ( IsExpression_v<MT1> && ( RequiresEvaluation_v<MT1> ?
lhs_.isAliased( alias ) :
lhs_.canAlias( alias ) ) ) ||
575 ( IsExpression_v<MT2> && ( RequiresEvaluation_v<MT2> ?
rhs_.isAliased( alias ) :
rhs_.canAlias( alias ) ) );
585 template<
typename T >
586 inline bool isAliased(
const T* alias )
const noexcept {
587 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
597 return lhs_.isAligned() &&
rhs_.isAligned();
607 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
608 (
rows() *
columns() >= SMP_DMATDMATSUB_THRESHOLD );
632 template<
typename MT
642 if( !IsOperation_v<MT1> &&
isSame( ~lhs, rhs.lhs_ ) ) {
643 subAssign( ~lhs, rhs.rhs_ );
645 else if( ( !IsOperation_v<MT2> &&
isSame( ~lhs, rhs.rhs_ ) ) ||
646 ( !RequiresEvaluation_v<MT2> && rhs.rhs_.isAliased( &(~lhs) ) ) ) {
647 assign ( ~lhs, -rhs.rhs_ );
648 addAssign( ~lhs, rhs.lhs_ );
651 assign ( ~lhs, rhs.lhs_ );
652 subAssign( ~lhs, rhs.rhs_ );
672 template<
typename MT
691 const TmpType tmp(
serial( rhs ) );
711 template<
typename MT
713 friend inline auto addAssign( DenseMatrix<MT,SO2>& lhs,
const DMatDMatSubExpr& rhs )
714 -> EnableIf_t< UseAssign_v<MT> >
721 if( !RequiresEvaluation_v<MT2> ) {
722 subAssign( ~lhs, rhs.rhs_ );
723 addAssign( ~lhs, rhs.lhs_ );
726 addAssign( ~lhs, rhs.lhs_ );
727 subAssign( ~lhs, rhs.rhs_ );
751 template<
typename MT
753 friend inline auto subAssign( DenseMatrix<MT,SO2>& lhs,
const DMatDMatSubExpr& rhs )
754 -> EnableIf_t< UseAssign_v<MT> >
761 if( !RequiresEvaluation_v<MT2> ) {
762 addAssign( ~lhs, rhs.rhs_ );
763 subAssign( ~lhs, rhs.lhs_ );
766 subAssign( ~lhs, rhs.lhs_ );
767 addAssign( ~lhs, rhs.rhs_ );
791 template<
typename MT
793 friend inline auto schurAssign( DenseMatrix<MT,SO2>& lhs,
const DMatDMatSubExpr& rhs )
794 -> EnableIf_t< UseAssign_v<MT> >
806 schurAssign( ~lhs, tmp );
837 template<
typename MT
840 -> EnableIf_t< UseSMPAssign_v<MT> >
847 if( !IsOperation_v<MT1> &&
isSame( ~lhs, rhs.lhs_ ) ) {
850 else if( ( !IsOperation_v<MT2> &&
isSame( ~lhs, rhs.rhs_ ) ) ||
851 ( !RequiresEvaluation_v<MT2> && rhs.rhs_.isAliased( &(~lhs) ) ) ) {
877 template<
typename MT
880 -> EnableIf_t< UseSMPAssign_v<MT> >
884 using TmpType = If_t< SO == SO2, ResultType, OppositeType >;
896 const TmpType tmp( rhs );
916 template<
typename MT
919 -> EnableIf_t< UseAssign_v<MT> >
926 if( !RequiresEvaluation_v<MT2> ) {
956 template<
typename MT
959 -> EnableIf_t< UseSMPAssign_v<MT> >
966 if( !RequiresEvaluation_v<MT2> ) {
997 template<
typename MT
1000 -> EnableIf_t< UseSMPAssign_v<MT> >
1073 template<
typename MT1
1076 inline decltype(
auto)
1101 template<
typename MT1,
typename MT2,
bool SO >
1102 struct IsAligned< DMatDMatSubExpr<MT1,MT2,SO> >
1103 :
public BoolConstant< IsAligned_v<MT1> && IsAligned_v<MT2> >
1119 template<
typename MT1,
typename MT2,
bool SO >
1120 struct IsPadded< DMatDMatSubExpr<MT1,MT2,SO> >
1121 :
public BoolConstant< IsPadded_v<MT1> && IsPadded_v<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
Pointer difference type of the Blaze library.
Header file for auxiliary alias declarations.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatSubExpr.h:258
CompositeType_t< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:103
ElementType * PointerType
Pointer return type.
Definition: DMatDMatSubExpr.h:185
typename SubTrait< T1, T2 >::Type SubTrait_t
Auxiliary alias declaration for the SubTrait class template.The SubTrait_t alias declaration provides...
Definition: SubTrait.h:238
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:246
Header file for the subtraction trait.
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:992
Header file for basic type definitions.
ConstIterator_t< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:200
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:344
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias declaration for the If class template.The If_t alias declaration provides a convenien...
Definition: If.h:109
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:377
ElementType_t< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:105
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
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
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:224
#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
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:186
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:268
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:531
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:300
Header file for the Computation base class.
Header file for the RequiresEvaluation type trait.
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
PointerType pointer
Pointer return type.
Definition: DMatDMatSubExpr.h:192
ReferenceType reference
Reference return type.
Definition: DMatDMatSubExpr.h:193
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Iterator over the elements of the dense matrix.
Definition: DMatDMatSubExpr.h:179
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:137
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:191
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:333
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DMatDMatSubExpr.h:428
Constraint on the data type.
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:495
ConstIterator_t< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:197
If_t< IsExpression_v< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:170
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:615
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:93
Header file for the IsTemporary type trait class.
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatDMatSubExpr.h:187
ReturnType_t< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:101
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
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatSubExpr.h:160
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatSubExpr.h:164
Header file for the If class template.
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the subtraction expression.
Definition: DMatDMatSubExpr.h:130
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DMatDMatSubExpr.h:432
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:355
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatSubExpr.h:510
#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.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3086
CompositeType_t< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:104
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:421
Header file for all SIMD functionality.
Header file for the MatMatSubExpr base class.
If_t< useAssign, const ResultType, const DMatDMatSubExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDMatSubExpr.h:167
Header file for the IsOperation type trait class.
Header file for the IsAligned type trait.
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatSubExpr.h:209
If_t< IsExpression_v< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:173
Constraints on the storage order of matrix types.
Header file for the exception macros of the math module.
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:159
Constraint on the data type.
Header file for all forward declarations for expression class templates.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatSubExpr.h:606
Header file for the EnableIf class template.
Header file for the IsPadded type trait.
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
decltype(std::declval< RN1 >() - std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:119
DMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatSubExpr class.
Definition: DMatDMatSubExpr.h:446
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:573
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:322
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:366
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: DMatDMatSubExpr.h:116
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:401
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:161
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:290
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:295
#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
static constexpr size_t SIMDSIZE
The number of elements packed within a single SIMD element.
Definition: DMatDMatSubExpr.h:437
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatSubExpr.h:477
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatSubExpr.h:234
Header file for the HasSIMDSub type trait.
ResultType_t< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:100
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
ReturnType_t< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:102
#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
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:101
auto smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:194
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:561
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:541
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:413
#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 isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatSubExpr.h:586
typename T::ConstIterator ConstIterator_t
Alias declaration for nested ConstIterator type definitions.The ConstIterator_t alias declaration pro...
Definition: Aliases.h:110
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatSubExpr.h:190
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:596
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:551
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
ResultType_t< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:99
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatSubExpr.h:420
Header file for the IntegralConstant class template.
SubTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:158
#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:103
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:614
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:389
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:280
System settings for the inline keywords.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:311
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:183
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
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:184
ElementType_t< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:106
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:462
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatSubExpr.h:521
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:221