35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSCALARMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATSCALARMULTEXPR_H_ 104 template<
typename MT
143 template<
typename MT2 >
146 enum :
bool { value = useAssign };
159 template<
typename MT2 >
160 struct UseSMPAssign {
161 enum :
bool { value = ( !MT2::smpAssignable || !MT::smpAssignable ) && useAssign };
218 : iterator_( iterator )
304 inline auto load() const noexcept {
305 return iterator_.load() *
set(
scalar_ );
432 enum :
bool { simdEnabled = MT::simdEnabled &&
438 enum :
bool { smpAssignable = MT::smpAssignable };
534 inline size_t rows() const noexcept {
575 template<
typename T >
576 inline bool canAlias(
const T* alias )
const noexcept {
587 template<
typename T >
588 inline bool isAliased(
const T* alias )
const noexcept {
589 return matrix_.isAliased( alias );
609 return matrix_.canSMPAssign() ||
610 (
rows() *
columns() >= SMP_DMATSCALARMULT_THRESHOLD );
634 template<
typename MT2
645 assign( ~lhs, (~lhs) * rhs.
scalar_ );
664 template<
typename MT2
694 template<
typename MT2
709 addAssign( ~lhs, tmp );
732 template<
typename MT2
747 subAssign( ~lhs, tmp );
770 template<
typename MT2
785 schurAssign( ~lhs, tmp );
816 template<
typename MT2
846 template<
typename MT2
876 template<
typename MT2
914 template<
typename MT2
952 template<
typename MT2
1021 template<
typename MT
1063 template<
typename MT
1067 inline decltype(
auto) operator*( const
DenseMatrix<MT,SO>& mat, ST scalar )
1099 template<
typename ST
1103 inline decltype(
auto) operator*( ST scalar, const
DenseMatrix<MT,SO>& mat )
1134 template<
typename MT
1169 template<
typename MT
1197 template<
typename ST1
1225 template<
typename MT
1254 template<
typename MT
1258 inline decltype(
auto)
1283 template<
typename VT
1287 inline decltype(
auto)
1314 template<
typename MT
1319 inline decltype(
auto)
1346 template<
typename VT
1351 inline decltype(
auto)
1376 template<
typename MT
1380 inline decltype(
auto)
1405 template<
typename VT
1409 inline decltype(
auto)
1436 template<
typename MT
1441 inline decltype(
auto)
1468 template<
typename VT
1473 inline decltype(
auto)
1498 template<
typename MT1
1503 inline decltype(
auto)
1528 template<
typename MT1
1533 inline decltype(
auto)
1558 template<
typename MT1
1564 inline decltype(
auto)
1589 template<
typename MT1
1594 inline decltype(
auto)
1619 template<
typename MT1
1624 inline decltype(
auto)
1650 template<
typename MT1
1656 inline decltype(
auto)
1682 template<
typename MT1
1688 inline decltype(
auto)
1709 template<
typename MT,
typename ST,
bool SO >
1710 struct Size< DMatScalarMultExpr<MT,ST,SO>, 0UL >
1711 :
public Size<MT,0UL>
1714 template<
typename MT,
typename ST,
bool SO >
1715 struct Size< DMatScalarMultExpr<MT,ST,SO>, 1UL >
1716 :
public Size<MT,1UL>
1732 template<
typename MT,
typename ST,
bool SO >
1733 struct IsAligned< DMatScalarMultExpr<MT,ST,SO> >
1750 template<
typename MT,
typename ST,
bool SO >
1751 struct IsPadded< DMatScalarMultExpr<MT,ST,SO> >
1768 template<
typename MT,
typename ST,
bool SO >
1769 struct IsSymmetric< DMatScalarMultExpr<MT,ST,SO> >
1786 template<
typename MT,
typename ST,
bool SO >
1787 struct IsHermitian< DMatScalarMultExpr<MT,ST,SO> >
1804 template<
typename MT,
typename ST,
bool SO >
1805 struct IsLower< DMatScalarMultExpr<MT,ST,SO> >
1822 template<
typename MT,
typename ST,
bool SO >
1840 template<
typename MT,
typename ST,
bool SO >
1841 struct IsUpper< DMatScalarMultExpr<MT,ST,SO> >
1858 template<
typename MT,
typename ST,
bool SO >
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: SVecScalarMultExpr.h:437
Pointer difference type of the Blaze library.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: DVecScalarMultExpr.h:529
Header file for auxiliary alias declarations.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:71
Compile time check for numeric types.This type trait tests whether or not the given template paramete...
Definition: IsNumeric.h:79
Constraint on the data type.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
RightOperand scalar_
Scalar of the multiplication expression.
Definition: DMatScalarMultExpr.h:425
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
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: SMatScalarMultExpr.h:475
Header file for basic type definitions.
MultExprTrait_< RN, ST > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatScalarMultExpr.h:129
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatScalarMultExpr.h:170
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DVecScalarMultExpr.h:539
decltype(auto) operator/(const DenseMatrix< MT, SO > &mat, ST scalar)
Division operator for the division of a dense matrix by a scalar value ( ).
Definition: DMatScalarDivExpr.h:1070
ElementType * PointerType
Pointer return type.
Definition: DMatScalarMultExpr.h:196
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
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatScalarMultExpr.h:252
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatScalarMultExpr.h:284
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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatScalarMultExpr.h:544
#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
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatScalarMultExpr.h:348
Availability of a SIMD multiplication for the given data types.Depending on the available instruction...
Definition: HasSIMDMult.h:172
RightOperand scalar_
Right-hand side scalar of the multiplication expression.
Definition: DMatScalarMultExpr.h:617
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatScalarMultExpr.h:465
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatScalarMultExpr.h:534
Base class for all matrix/scalar multiplication expression templates.The MatScalarMultExpr class serv...
Definition: MatScalarMultExpr.h:67
Header file for the And class template.
Header file for the DenseVector base class.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatScalarMultExpr.h:608
ReferenceType reference
Reference return type.
Definition: DMatScalarMultExpr.h:204
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:291
Header file for the Computation base class.
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatScalarMultExpr.h:294
Header file for the UnderlyingElement type trait.
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 RequiresEvaluation 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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatScalarMultExpr.h:175
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatScalarMultExpr.h:304
typename UnderlyingBuiltin< T >::Type UnderlyingBuiltin_
Auxiliary alias declaration for the UnderlyingBuiltin type trait.The UnderlyingBuiltin_ alias declara...
Definition: UnderlyingBuiltin.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
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
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatScalarMultExpr.h:194
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
Constraint on the data type.
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:112
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:71
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatScalarMultExpr.h:576
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:58
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
Header file for the If class template.
Header file for the UnderlyingBuiltin type trait.
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
Header file for the Or class template.
Expression object for dense matrix-scalar multiplications.The DMatScalarMultExpr class represents the...
Definition: DMatScalarMultExpr.h:107
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatScalarMultExpr.h:229
#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
IteratorType iterator_
Iterator to the current element.
Definition: DMatScalarMultExpr.h:424
Header file for the DenseMatrix base class.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3085
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.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatScalarMultExpr.h:315
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
ValueType value_type
Type of the underlying elements.
Definition: DMatScalarMultExpr.h:202
#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:71
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DMatScalarMultExpr.h:564
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatScalarMultExpr.h:172
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatScalarMultExpr.h:498
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.
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatScalarMultExpr.h:359
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
LeftOperand matrix_
Left-hand side dense matrix of the multiplication expression.
Definition: DMatScalarMultExpr.h:616
decltype(auto) operator*(const DenseMatrix< MT1, false > &lhs, const DenseMatrix< MT2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:8893
Constraint on the data type.
Expression object for sparse matrix-scalar multiplications.The SMatScalarMult class represents the co...
Definition: Forward.h:114
Header file for all forward declarations for expression class templates.
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatScalarMultExpr.h:381
ConstIterator_< MT > IteratorType
ConstIterator type of the dense matrix expression.
Definition: DMatScalarMultExpr.h:208
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatScalarMultExpr.h:417
Header file for the IsPadded type trait.
ResultType_< MT > RT
Result type of the dense matrix expression.
Definition: DMatScalarMultExpr.h:113
PointerType pointer
Pointer return type.
Definition: DMatScalarMultExpr.h:203
ConstIterator(IteratorType iterator, RightOperand scalar)
Constructor for the ConstIterator class.
Definition: DMatScalarMultExpr.h:217
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatScalarMultExpr.h:405
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatScalarMultExpr.h:480
Header file for the IsNumeric type trait.
Header file for the HasSIMDMult type trait.
Header file for the MatScalarMultExpr base class.
ST RightOperand
Composite type of the right-hand side scalar value.
Definition: DMatScalarMultExpr.h:184
ElementType & ReferenceType
Reference return type.
Definition: DMatScalarMultExpr.h:197
Header file for run time assertion macros.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatScalarMultExpr.h:171
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
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatScalarMultExpr.h:241
#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:61
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
IfTrue_< useAssign, const ResultType, const DMatScalarMultExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatScalarMultExpr.h:178
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatScalarMultExpr.h:513
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Compile time check for data types.This type trait tests whether or not the given template parameter i...
Definition: IsInvertible.h:82
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
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatScalarMultExpr.h:524
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatScalarMultExpr.h:263
ElementType ValueType
Type of the underlying elements.
Definition: DMatScalarMultExpr.h:195
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatScalarMultExpr.h:588
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatScalarMultExpr.h:393
Header file for the IsInvertible type trait.
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
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatScalarMultExpr.h:370
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
MultTrait_< RT, ST > ResultType
Result type for expression template evaluations.
Definition: DMatScalarMultExpr.h:169
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatScalarMultExpr.h:273
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
Header file for the IsComputation type trait class.
Expression object for dense vector-scalar multiplications.The DVecScalarMultExpr class represents the...
Definition: DVecScalarMultExpr.h:104
Expression object for sparse vector-scalar multiplications.The SVecScalarMultExpr class represents th...
Definition: Forward.h:139
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatScalarMultExpr.h:465
Compile time logical 'or' evaluation.The Or alias declaration performs at compile time a logical 'or'...
Definition: Or.h:76
DMatScalarMultExpr(const MT &matrix, ST scalar) noexcept
Constructor for the DMatScalarMultExpr class.
Definition: DMatScalarMultExpr.h:452
CompositeType_< MT > CT
Composite type of the dense matrix expression.
Definition: DMatScalarMultExpr.h:116
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:130
Iterator over the elements of the dense matrix.
Definition: DMatScalarMultExpr.h:190
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatScalarMultExpr.h:337
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatScalarMultExpr.h:598
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.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatScalarMultExpr.h:326
Header file for the IsHermitian type trait.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatScalarMultExpr.h:554
System settings for the inline keywords.
Header file for the Size type trait.
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
ReturnType_< MT > RN
Return type of the dense matrix expression.
Definition: DMatScalarMultExpr.h:114
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: SVecScalarMultExpr.h:427
If_< IsExpression< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatScalarMultExpr.h:181
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:95
IteratorCategory iterator_category
The iterator category.
Definition: DMatScalarMultExpr.h:201
Header file for the IsExpression type trait class.
ElementType_< MT > ET
Element type of the dense matrix expression.
Definition: DMatScalarMultExpr.h:115
Header file for the function trace functionality.