35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_ 102 template<
typename MT1
106 :
public MatMatSubExpr< DenseMatrix< DMatDMatSubExpr<MT1,MT2,SO>, SO > >
145 template<
typename MT >
148 enum :
bool { value = useAssign };
161 template<
typename MT >
162 struct UseSMPAssign {
163 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
304 return (*left_) - (*right_);
313 inline auto load() const noexcept {
314 return left_.load() - right_.load();
325 return left_ == rhs.
left_;
336 return left_ != rhs.
left_;
347 return left_ < rhs.
left_;
358 return left_ > rhs.
left_;
369 return left_ <= rhs.
left_;
380 return left_ >= rhs.
left_;
391 return left_ - rhs.
left_;
441 enum :
bool { simdEnabled = MT1::simdEnabled && MT2::simdEnabled &&
445 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
491 if( i >=
lhs_.rows() ) {
494 if( j >=
lhs_.columns() ) {
513 return lhs_.load(i,j) -
rhs_.load(i,j);
544 inline size_t rows() const noexcept {
555 return lhs_.columns();
585 template<
typename T >
586 inline bool canAlias(
const T* alias )
const noexcept {
598 template<
typename T >
599 inline bool isAliased(
const T* alias )
const noexcept {
600 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
610 return lhs_.isAligned() &&
rhs_.isAligned();
620 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
621 (
rows() *
columns() >= SMP_DMATDMATSUB_THRESHOLD );
645 template<
typename MT
656 subAssign( ~lhs, rhs.
rhs_ );
659 assign ( ~lhs, rhs.
lhs_ );
660 subAssign( ~lhs, rhs.
rhs_ );
680 template<
typename MT
699 const TmpType tmp(
serial( rhs ) );
719 template<
typename MT
729 addAssign( ~lhs, rhs.
lhs_ );
730 subAssign( ~lhs, rhs.
rhs_ );
753 template<
typename MT
763 subAssign( ~lhs, rhs.
lhs_ );
764 addAssign( ~lhs, rhs.
rhs_ );
787 template<
typename MT
802 schurAssign( ~lhs, tmp );
833 template<
typename MT
868 template<
typename MT
887 const TmpType tmp( rhs );
907 template<
typename MT
941 template<
typename MT
976 template<
typename MT
1052 template<
typename MT1
1055 inline decltype(
auto)
1080 template<
typename MT1,
typename MT2,
bool SO >
1081 struct Rows< DMatDMatSubExpr<MT1,MT2,SO> >
1082 :
public Maximum< Rows<MT1>, Rows<MT2> >
1098 template<
typename MT1,
typename MT2,
bool SO >
1099 struct Columns< DMatDMatSubExpr<MT1,MT2,SO> >
1100 :
public Maximum< Columns<MT1>, Columns<MT2> >
1116 template<
typename MT1,
typename MT2,
bool SO >
1117 struct IsAligned< DMatDMatSubExpr<MT1,MT2,SO> >
1118 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1134 template<
typename MT1,
typename MT2,
bool SO >
1135 struct IsPadded< DMatDMatSubExpr<MT1,MT2,SO> >
1136 :
public BoolConstant< And< IsPadded<MT1>, IsPadded<MT2> >::value >
1152 template<
typename MT1,
typename MT2,
bool SO >
1154 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1170 template<
typename MT1,
typename MT2,
bool SO >
1172 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1188 template<
typename MT1,
typename MT2,
bool SO >
1189 struct IsLower< DMatDMatSubExpr<MT1,MT2,SO> >
1190 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1206 template<
typename MT1,
typename MT2,
bool SO >
1207 struct IsUniLower< DMatDMatSubExpr<MT1,MT2,SO> >
1208 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1224 template<
typename MT1,
typename MT2,
bool SO >
1226 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1242 template<
typename MT1,
typename MT2,
bool SO >
1243 struct IsUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1244 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1260 template<
typename MT1,
typename MT2,
bool SO >
1261 struct IsUniUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1262 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1278 template<
typename MT1,
typename MT2,
bool SO >
1280 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
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:271
Availability of a SIMD subtraction for the given data types.Depending on the available instruction se...
Definition: HasSIMDSub.h:171
ElementType * PointerType
Pointer return type.
Definition: DMatDMatSubExpr.h:198
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:116
ConstIterator_< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:210
Header file for the Rows type trait.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:259
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:786
Header file for basic type definitions.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:112
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:357
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:71
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:390
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
IfTrue_< useAssign, const ResultType, const DMatDMatSubExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDMatSubExpr.h:180
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
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:199
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:281
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:88
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:544
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:115
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:313
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
Header file for the RequiresEvaluation type trait.
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
PointerType pointer
Pointer return type.
Definition: DMatDMatSubExpr.h:205
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
ReferenceType reference
Reference return type.
Definition: DMatDMatSubExpr.h:206
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:114
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
Iterator over the elements of the dense matrix.
Definition: DMatDMatSubExpr.h:192
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:204
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
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:346
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
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.
Header file for the Maximum class template.
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:508
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:172
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatSubExpr.h:173
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:628
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:105
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:183
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
ConstIterator_< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:213
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
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:57
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
Header file for the If class template.
Compile time check for data types with padding.This type trait tests whether the given data type empl...
Definition: IsPadded.h:76
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
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:368
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatSubExpr.h:523
#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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatSubExpr.h:177
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:434
ElementType_< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:118
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for all SIMD functionality.
Header file for the MatMatSubExpr base class.
Header file for the IsOperation type trait class.
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatSubExpr.h:222
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
ElementType_< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:117
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.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatSubExpr.h:619
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the IsPadded type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
DMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatSubExpr class.
Definition: DMatDMatSubExpr.h:459
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:586
Header file for run time assertion macros.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:335
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
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:379
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:113
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:414
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:171
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:303
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:296
#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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatSubExpr.h:490
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatSubExpr.h:247
Header file for the HasSIMDSub type trait.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
#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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:186
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:574
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:554
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:426
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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatSubExpr.h:599
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:3082
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatSubExpr.h:203
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:609
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:564
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:174
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:250
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatSubExpr.h:433
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:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:111
#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:108
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:131
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:627
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.
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:402
Header file for the IsHermitian type trait.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:293
Header file for the SubExprTrait class template.
System settings for the inline keywords.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:324
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:196
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:197
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:475
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:95
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:534
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:234