35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSCALARDIVEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSCALARDIVEXPR_H_
109 template<
typename MT
112 class SMatScalarDivExpr :
public SparseMatrix< SMatScalarDivExpr<MT,ST,SO>, SO >
113 ,
private MatScalarDivExpr
114 ,
private Computation
147 template<
typename MT2 >
150 enum { value = useAssign };
163 template<
typename MT2 >
164 struct UseSMPAssign {
165 enum { value = ( !MT2::smpAssignable || !MT::smpAssignable ) && useAssign };
321 enum { smpAssignable = 0 };
358 inline ReturnType
at(
size_t i,
size_t j )
const {
497 template<
typename T >
499 return matrix_.canAlias( alias );
509 template<
typename T >
511 return matrix_.isAliased( alias );
535 template<
typename MT2
545 assign( ~lhs, rhs.matrix_ );
546 (~lhs) /= rhs.scalar_;
565 template<
typename MT2
575 assign( ~lhs, rhs.matrix_ );
576 (~lhs) /= rhs.scalar_;
595 template<
typename MT2
597 friend inline typename EnableIf< UseAssign<MT2> >::Type
608 const ResultType tmp(
serial( rhs ) );
609 addAssign( ~lhs, tmp );
632 template<
typename MT2
634 friend inline typename EnableIf< UseAssign<MT2> >::Type
645 const ResultType tmp(
serial( rhs ) );
646 subAssign( ~lhs, tmp );
685 template<
typename MT2
687 friend inline typename EnableIf< UseSMPAssign<MT2> >::Type
698 const ResultType tmp( rhs );
722 template<
typename MT2
724 friend inline typename EnableIf< UseSMPAssign<MT2> >::Type
735 const ResultType tmp( rhs );
797 template<
typename T1
800 inline const typename EnableIf< IsNumeric<T2>,
typename DivExprTrait<T1,T2>::Type >::Type
808 typedef typename ReturnType::RightOperand ScalarType;
811 return ReturnType( ~mat, ScalarType(1)/ScalarType(scalar) );
841 template<
typename MT
845 inline const typename EnableIf< And< IsNumeric<ST2>, IsInvertible<typename DivTrait<ST2,ST1>::Type > >
846 ,
typename MultExprTrait< SMatScalarDivExpr<MT,ST1,SO>, ST2 >::Type >::Type
847 operator*(
const SMatScalarDivExpr<MT,ST1,SO>& mat, ST2 scalar )
851 return mat.leftOperand() * ( scalar / mat.rightOperand() );
870 template<
typename ST1
874 inline const typename EnableIf< And< IsNumeric<ST1>, IsInvertible<typename DivTrait<ST1,ST2>::Type > >
875 ,
typename MultExprTrait< ST1, SMatScalarDivExpr<MT,ST2,SO> >::Type >::Type
876 operator*( ST1 scalar,
const SMatScalarDivExpr<MT,ST2,SO>& mat )
880 return mat.leftOperand() * ( scalar / mat.rightOperand() );
899 template<
typename MT
903 inline const typename EnableIf< IsNumeric<ST2>
904 ,
typename DivExprTrait<MT,typename MultTrait<ST1,ST2>::Type>::Type >::Type
905 operator/(
const SMatScalarDivExpr<MT,ST1,SO>& mat, ST2 scalar )
911 typedef typename MultTrait<ST1,ST2>::Type MultType;
912 typedef typename DivExprTrait<MT,MultType>::Type
ReturnType;
913 typedef typename ReturnType::RightOperand ScalarType;
915 if( IsMultExpr<ReturnType>::value ) {
916 return ReturnType( mat.leftOperand(), ScalarType(1)/( mat.rightOperand() * scalar ) );
919 return ReturnType( mat.leftOperand(), mat.rightOperand() * scalar );
936 template<
typename MT,
typename ST,
bool SO >
953 template<
typename MT,
typename ST,
bool SO >
970 template<
typename MT,
typename ST,
bool SO >
971 struct IsSymmetric<
SMatScalarDivExpr<MT,ST,SO> > :
public IsTrue< IsSymmetric<MT>::value >
987 template<
typename MT,
typename ST,
bool SO >
988 struct IsHermitian<
SMatScalarDivExpr<MT,ST,SO> > :
public IsTrue< IsHermitian<MT>::value >
1004 template<
typename MT,
typename ST,
bool SO >
1005 struct IsLower<
SMatScalarDivExpr<MT,ST,SO> > :
public IsTrue< IsLower<MT>::value >
1021 template<
typename MT,
typename ST,
bool SO >
1022 struct IsStrictlyLower<
SMatScalarDivExpr<MT,ST,SO> > :
public IsTrue< IsStrictlyLower<MT>::value >
1038 template<
typename MT,
typename ST,
bool SO >
1039 struct IsUpper<
SMatScalarDivExpr<MT,ST,SO> > :
public IsTrue< IsUpper<MT>::value >
1055 template<
typename MT,
typename ST,
bool SO >
1056 struct IsStrictlyUpper<
SMatScalarDivExpr<MT,ST,SO> > :
public IsTrue< IsStrictlyUpper<MT>::value >
1072 template<
typename MT,
typename ST1,
typename ST2 >
1077 typedef typename DivTrait<ST2,ST1>::Type ScalarType;
1081 enum { condition = IsInvertible<ScalarType>::value };
1085 typedef typename SMatScalarMultExprTrait<MT,ScalarType>::Type T1;
1086 typedef SMatScalarMultExpr< SMatScalarDivExpr<MT,ST1,false>, ST2,
false > T2;
1091 typedef typename SelectType< IsSparseMatrix<MT>::value && IsRowMajorMatrix<MT>::value &&
1092 IsNumeric<ST1>::value && IsNumeric<ST2>::value
1093 ,
typename SelectType<condition,T1,T2>::Type
1094 , INVALID_TYPE >::Type Type;
1111 template<
typename MT,
typename ST1,
typename ST2 >
1116 typedef typename DivTrait<ST2,ST1>::Type ScalarType;
1120 enum { condition = IsInvertible<ScalarType>::value };
1124 typedef typename SMatScalarMultExprTrait<MT,ScalarType>::Type T1;
1125 typedef SMatScalarMultExpr< SMatScalarDivExpr<MT,ST1,true>, ST2,
true > T2;
1130 typedef typename SelectType< IsSparseMatrix<MT>::value && IsColumnMajorMatrix<MT>::value &&
1131 IsNumeric<ST1>::value && IsNumeric<ST2>::value
1132 ,
typename SelectType<condition,T1,T2>::Type
1133 , INVALID_TYPE >::Type Type;
1150 template<
typename MT,
typename ST,
bool SO,
bool AF >
1155 typedef typename DivExprTrait< typename SubmatrixExprTrait<const MT,AF>::Type, ST >::Type Type;
1172 template<
typename MT,
typename ST,
bool SO >
1177 typedef typename DivExprTrait< typename RowExprTrait<const MT>::Type, ST >::Type Type;
1194 template<
typename MT,
typename ST,
bool SO >
1199 typedef typename DivExprTrait< typename ColumnExprTrait<const MT>::Type, ST >::Type Type;
IteratorType matrix_
Iterator over the elements of the left-hand side sparse matrix expression.
Definition: SMatScalarDivExpr.h:313
Pointer difference type of the Blaze library.
ConstIterator(IteratorType matrix, RightOperand scalar)
Constructor for the ConstIterator class.
Definition: SMatScalarDivExpr.h:221
Constraint on the data type.
#define BLAZE_USER_ASSERT(expr, msg)
Run time assertion macro for user checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_USER_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERT flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:117
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.
const DMatDMatMultExpr< T1, T2 > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:7820
const EnableIf< IsNumeric< T2 >, typename DivExprTrait< T1, T2 >::Type >::Type operator/(const DenseMatrix< T1, SO > &mat, T2 scalar)
Division operator for the division of a dense matrix by a scalar value ( ).
Definition: DMatScalarDivExpr.h:962
PointerType pointer
Pointer return type.
Definition: SMatScalarDivExpr.h:213
Header file for basic type definitions.
MT::ReturnType RN
Return type of the sparse matrix expression.
Definition: SMatScalarDivExpr.h:119
Compile time check whether the given type is a multiplication expression template.This type trait class tests whether or not the given type Type is a multiplication expression template (i.e. an expression representing an element-wise vector multiplication, a matrix/vector multiplication, a vector/matrix multiplication, or a matrix multiplication). In order to qualify as a valid multiplication expression template, the given type has to derive (publicly or privately) from the MultExpr base class. In case the given type is a valid multiplication expression template, 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: IsMultExpr.h:90
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatScalarDivExpr.h:175
Header file for the IsSparseMatrix type trait.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatScalarDivExpr.h:174
#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
Header file for the ColumnExprTrait class template.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatScalarDivExpr.h:396
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatScalarDivExpr.h:498
Header file for the IsColumnMajorMatrix type trait.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatScalarDivExpr.h:510
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two expression iterators.
Definition: SMatScalarDivExpr.h:306
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
Header file for the And class template.
MT::CompositeType CT
Composite type of the sparse matrix expression.
Definition: SMatScalarDivExpr.h:120
ST RightOperand
Composite type of the right-hand side scalar value.
Definition: SMatScalarDivExpr.h:188
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
ConstIterator upperBound(size_t i, size_t j) const
Returns an iterator to the first index greater then the given index.
Definition: SMatScalarDivExpr.h:465
Header file for the Computation base class.
ConstIterator lowerBound(size_t i, size_t j) const
Returns an iterator to the first index not less then the given index.
Definition: SMatScalarDivExpr.h:452
Header file for the RequiresEvaluation type trait.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: SMatScalarDivExpr.h:295
SMatScalarDivExpr(const MT &matrix, ST scalar)
Constructor for the SMatScalarDivExpr class.
Definition: SMatScalarDivExpr.h:330
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:117
ValueType * PointerType
Pointer return type.
Definition: SMatScalarDivExpr.h:206
Constraint on the data type.
const ConstIterator * operator->() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatScalarDivExpr.h:253
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatScalarDivExpr.h:416
Header file for the SparseMatrix base class.
Header file for the DivExprTrait class template.
RemoveReference< LeftOperand >::Type::ConstIterator IteratorType
Iterator type of the sparse matrix expression.
Definition: SMatScalarDivExpr.h:202
Evaluation of the resulting expression type of a division.Via this type trait it is possible to evalu...
Definition: DivExprTrait.h:88
Constraint on the data type.
Header file for the MultExprTrait class template.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:90
ReferenceType reference
Reference return type.
Definition: SMatScalarDivExpr.h:214
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:261
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: SMatScalarDivExpr.h:386
Header file for the ValueIndexPair class.
IteratorCategory iterator_category
The iterator category.
Definition: SMatScalarDivExpr.h:211
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the IsTemporary type trait class.
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
ReturnType value() const
Access to the current value of the sparse element.
Definition: SMatScalarDivExpr.h:263
Element ValueType
Type of the underlying pointers.
Definition: SMatScalarDivExpr.h:205
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: SMatScalarDivExpr.h:375
Iterator over the elements of the sparse matrix/scalar division expression.
Definition: SMatScalarDivExpr.h:194
MultTrait< RT, ST >::Type ResultType
Result type for expression template evaluations.
Definition: SMatScalarDivExpr.h:173
Header file for the IsMultExpr type trait class.
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 Columns type trait.
SMatScalarDivExpr< MT, ST, SO > This
Type of this SMatScalarDivExpr instance.
Definition: SMatScalarDivExpr.h:172
#define BLAZE_CONSTRAINT_MUST_BE_SAME_TYPE(A, B)
Data type constraint.In case the two types A and B are not the same (ignoring all cv-qualifiers of bo...
Definition: SameType.h:89
Header file for the IsLower type trait.
LeftOperand matrix_
Left-hand side sparse matrix of the division expression.
Definition: SMatScalarDivExpr.h:517
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: SMatScalarDivExpr.h:284
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: SMatScalarDivExpr.h:208
RightOperand scalar_
Right-hand side scalar of the division expression.
Definition: SMatScalarDivExpr.h:314
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatScalarDivExpr.h:179
#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
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatScalarDivExpr.h:476
Constraints on the storage order of matrix types.
const Element operator*() const
Direct access to the sparse matrix element at the current iterator position.
Definition: SMatScalarDivExpr.h:243
SelectType< IsExpression< MT >::value, const MT, const MT & >::Type LeftOperand
Composite data type of the sparse matrix expression.
Definition: SMatScalarDivExpr.h:185
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatScalarDivExpr.h:176
Constraint on the data type.
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 serial shim.
Header file for the IsNumeric type trait.
MT::ResultType RT
Result type of the sparse matrix expression.
Definition: SMatScalarDivExpr.h:118
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatScalarDivExpr.h:358
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
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
ValueType value_type
Type of the underlying pointers.
Definition: SMatScalarDivExpr.h:212
Header file for run time assertion macros.
Utility type for generic codes.
Base template for the MultTrait class.
Definition: MultTrait.h:138
Header file for the division trait.
ConstIterator & operator++()
Pre-increment operator.
Definition: SMatScalarDivExpr.h:232
Expression object for sparse matrix-scalar divisions.The SMatScalarMult class represents the compile ...
Definition: Forward.h:103
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_BE_NUMERIC_TYPE(T)
Constraint on the data type.In case the given data type T is not a numeric (integral or floating poin...
Definition: Numeric.h:79
ConstIterator find(size_t i, size_t j) const
Searches for a specific matrix element.
Definition: SMatScalarDivExpr.h:439
RightOperand rightOperand() const
Returns the right-hand side scalar operand.
Definition: SMatScalarDivExpr.h:486
#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:118
Header file for the RemoveReference type trait.
Header file for the IsInvertible type trait.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_FLOATING_POINT_TYPE(T)
Constraint on the data type.In case the given data type T is a floating point data type...
Definition: FloatingPoint.h:118
ValueIndexPair< ElementType > Element
Element type of the sparse matrix expression.
Definition: SMatScalarDivExpr.h:199
ValueType & ReferenceType
Reference return type.
Definition: SMatScalarDivExpr.h:207
Index-value-pair for sparse vectors and matrices.The ValueIndexPair class represents a single index-v...
Definition: ValueIndexPair.h:70
Header file for the IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatScalarDivExpr.h:406
SelectType< useAssign, const ResultType, const SMatScalarDivExpr & >::Type CompositeType
Data type for composite expression templates.
Definition: SMatScalarDivExpr.h:182
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
#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
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
std::forward_iterator_tag IteratorCategory
The iterator category.
Definition: SMatScalarDivExpr.h:204
RightOperand scalar_
Right-hand side scalar of the division expression.
Definition: SMatScalarDivExpr.h:518
DivExprTrait< RN, ST >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatScalarDivExpr.h:133
Header file for the IsUpper type trait.
Header file for exception macros.
Header file for the MatScalarDivExpr base class.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatScalarDivExpr.h:427
DifferenceType difference_type
Difference between two iterators.
Definition: SMatScalarDivExpr.h:215
Header file for the IsHermitian type trait.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatScalarDivExpr.h:343
#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:79
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
size_t index() const
Access to the current index of the sparse element.
Definition: SMatScalarDivExpr.h:273