35 #ifndef _BLAZE_MATH_EXPRESSIONS_DVECSVECCROSSEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DVECSVECCROSSEXPR_H_ 85 template<
typename VT1
89 :
public CrossExpr< DenseVector< DVecSVecCrossExpr<VT1,VT2,TF>, TF > >
145 enum :
bool { simdEnabled =
false };
148 enum :
bool { smpAssignable =
false };
177 else if( index == 1UL )
178 return lhs_[2UL] * rhs_[0UL] -
lhs_[0UL] * rhs_[2UL];
180 return lhs_[0UL] * rhs_[1UL] -
lhs_[1UL] * rhs_[0UL];
195 return (*
this)[index];
204 inline constexpr
size_t size() const noexcept {
235 template<
typename T >
236 inline bool canAlias(
const T* alias )
const noexcept {
237 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
247 template<
typename T >
248 inline bool isAliased(
const T* alias )
const noexcept {
249 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
271 template<
typename VT >
282 (~lhs)[0] = x[1UL]*y[2UL] - x[2UL]*y[1UL];
283 (~lhs)[1] = x[2UL]*y[0UL] - x[0UL]*y[2UL];
284 (~lhs)[2] = x[0UL]*y[1UL] - x[1UL]*y[0UL];
301 template<
typename VT >
331 template<
typename VT >
342 (~lhs)[0] += x[1UL]*y[2UL] - x[2UL]*y[1UL];
343 (~lhs)[1] += x[2UL]*y[0UL] - x[0UL]*y[2UL];
344 (~lhs)[2] += x[0UL]*y[1UL] - x[1UL]*y[0UL];
365 template<
typename VT >
376 (~lhs)[0] -= x[1UL]*y[2UL] - x[2UL]*y[1UL];
377 (~lhs)[1] -= x[2UL]*y[0UL] - x[0UL]*y[2UL];
378 (~lhs)[2] -= x[0UL]*y[1UL] - x[1UL]*y[0UL];
399 template<
typename VT >
410 (~lhs)[0] *= x[1UL]*y[2UL] - x[2UL]*y[1UL];
411 (~lhs)[1] *= x[2UL]*y[0UL] - x[0UL]*y[2UL];
412 (~lhs)[2] *= x[0UL]*y[1UL] - x[1UL]*y[0UL];
433 template<
typename VT >
444 (~lhs)[0] /= x[1UL]*y[2UL] - x[2UL]*y[1UL];
445 (~lhs)[1] /= x[2UL]*y[0UL] - x[0UL]*y[2UL];
446 (~lhs)[2] /= x[0UL]*y[1UL] - x[1UL]*y[0UL];
502 template<
typename VT1
505 inline decltype(
auto)
510 if( (~lhs).
size() != 3UL || (~rhs).
size() != 3UL ) {
546 template<
typename VT1
566 template<
typename VT1,
typename VT2,
bool TF >
567 struct Size< DVecSVecCrossExpr<VT1,VT2,TF>, 0UL >
#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
Expression object for dense vector-sparse vector cross products.The DVecSVecCrossExpr class represent...
Definition: DVecSVecCrossExpr.h:88
Header file for auxiliary alias declarations.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
ReturnType_< VT1 > RN1
Return type of the left-hand side dense vector expression.
Definition: DVecSVecCrossExpr.h:96
Header file for basic type definitions.
Header file for the serial shim.
ElementType_< VT2 > ET2
Element type of the right-hand side sparse vector expression.
Definition: DVecSVecCrossExpr.h:101
Base class for all cross product expression templates.The CrossExpr class serves as a tag for all exp...
Definition: CrossExpr.h:66
Header file for the DenseVector base class.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DVecSVecCrossExpr.h:121
Header file for the Computation base class.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
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
Efficient implementation of a fixed-sized vector.The StaticVector class template is the representatio...
Definition: Forward.h:61
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
Constraint on the transpose flag of vector types.
LeftOperand lhs_
Left-hand side dense vector of the cross product expression.
Definition: DVecSVecCrossExpr.h:255
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:112
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.
CompositeType_< VT2 > CT2
Composite type of the right-hand side sparse vector expression.
Definition: DVecSVecCrossExpr.h:99
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
CrossTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DVecSVecCrossExpr.h:120
Header file for the IsTemporary type trait class.
ResultType_< VT2 > RT2
Result type of the right-hand side sparse vector expression.
Definition: DVecSVecCrossExpr.h:95
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
DVecSVecCrossExpr(const VT1 &lhs, const VT2 &rhs) noexcept
Constructor for the DVecSVecCrossExpr class.
Definition: DVecSVecCrossExpr.h:157
If_< IsExpression< VT2 >, const VT2, const VT2 &> RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: DVecSVecCrossExpr.h:134
#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
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DVecSVecCrossExpr.h:172
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional vector type...
Definition: SparseVector.h:61
Constraint on the data type.
Constraint on the data type.
Header file for the exception macros of the math module.
typename CrossTrait< T1, T2 >::Type CrossTrait_
Auxiliary alias declaration for the CrossTrait class template.The CrossTrait_ alias declaration provi...
Definition: CrossTrait.h:209
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Constraint on the data type.
Header file for the CrossExpr base class.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DVecSVecCrossExpr.h:128
Header file for the PtrdiffT class template.
Header file for all forward declarations for dense vectors and matrices.
Header file for run time assertion macros.
ElementType_< VT1 > ET1
Element type of the left-hand side dense vector expression.
Definition: DVecSVecCrossExpr.h:100
Header file for the cross product trait.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DVecSVecCrossExpr.h:236
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
If_< IsExpression< VT1 >, const VT1, const VT1 &> LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: DVecSVecCrossExpr.h:131
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DVecSVecCrossExpr.h:122
Compile time integral constant wrapper for ptrdiff_t.The PtrdiffT class template represents an integr...
Definition: PtrdiffT.h:72
#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
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:816
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DVecSVecCrossExpr.h:248
#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
RightOperand rhs_
Right-hand side sparse vector of the cross product expression.
Definition: DVecSVecCrossExpr.h:256
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional vector type...
Definition: DenseVector.h:61
Header file for the IsComputation type trait class.
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: DVecSVecCrossExpr.h:214
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
ReturnType_< VT2 > RN2
Return type of the right-hand side sparse vector expression.
Definition: DVecSVecCrossExpr.h:97
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: DVecSVecCrossExpr.h:191
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: DVecSVecCrossExpr.h:224
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
ResultType_< VT1 > RT1
Result type of the left-hand side dense vector expression.
Definition: DVecSVecCrossExpr.h:94
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DVecSVecCrossExpr.h:125
CompositeType_< VT1 > CT1
Composite type of the left-hand side dense vector expression.
Definition: DVecSVecCrossExpr.h:98
Header file for the SubExprTrait class template.
Header file for the Size type trait.
#define BLAZE_CONSTRAINT_MUST_BE_VECTOR_WITH_TRANSPOSE_FLAG(T, TF)
Constraint on the data type.In case the given data type T is not a dense or sparse vector type and in...
Definition: TransposeFlag.h:63
#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
SubExprTrait_< MultExprTrait_< RN1, RN2 >, MultExprTrait_< RN1, RN2 > > ExprReturnType
Expression return type for the subscript operator.
Definition: DVecSVecCrossExpr.h:114
If_< IsComputation< VT1 >, const StaticVector< ET1, 3UL, TF >, CT1 > LT
Composite type of the left-hand side dense vector expression.
Definition: DVecSVecCrossExpr.h:137
constexpr size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: DVecSVecCrossExpr.h:204
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
decltype(auto) cross(const DenseVector< VT1, TF > &lhs, const DenseVector< VT2, TF > &rhs)
Cross product of two dense vectors ( ).
Definition: DVecDVecCrossExpr.h:545