35 #ifndef _BLAZE_MATH_EXPRESSIONS_SVECSVECCROSSEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SVECSVECCROSSEXPR_H_ 85 template<
typename VT1
88 class SVecSVecCrossExpr
89 :
public CrossExpr< DenseVector< SVecSVecCrossExpr<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];
500 template<
typename VT1
503 inline decltype(
auto)
508 if( (~lhs).
size() != 3UL || (~rhs).
size() != 3UL ) {
543 template<
typename VT1
563 template<
typename VT1,
typename VT2,
bool TF >
564 struct Size< SVecSVecCrossExpr<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
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
Header file for basic type definitions.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SVecSVecCrossExpr.h:122
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: SVecSVecCrossExpr.h:224
Header file for the serial shim.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SVecSVecCrossExpr.h:248
Header file for the DenseVector base class.
CompositeType_< VT1 > CT1
Composite type of the left-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:98
Header file for the Computation base class.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SVecSVecCrossExpr.h:236
CrossTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SVecSVecCrossExpr.h:120
ReturnType_< VT2 > RN2
Return type of the right-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:97
LeftOperand lhs_
Left-hand side sparse vector of the cross product expression.
Definition: SVecSVecCrossExpr.h:255
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.
CompositeType_< VT2 > CT2
Composite type of the right-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:99
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
ElementType_< VT2 > ET2
Element type of the right-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:101
Header file for the MultExprTrait class template.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Header file for the IsTemporary type trait class.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
ReturnType_< VT1 > RN1
Return type of the left-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:96
#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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SVecSVecCrossExpr.h:121
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: SVecSVecCrossExpr.h:214
#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.
ResultType_< VT1 > RT1
Result type of the left-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:94
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: SVecSVecCrossExpr.h:172
Constraint on the data type.
Header file for the exception macros of the math module.
If_< IsExpression< VT1 >, const VT1, const VT1 &> LeftOperand
Composite type of the left-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:131
RightOperand rhs_
Right-hand side sparse vector of the cross product expression.
Definition: SVecSVecCrossExpr.h:256
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.
constexpr size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: SVecSVecCrossExpr.h:204
Header file for the CrossExpr base class.
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.
Header file for the cross product trait.
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
Compile time integral constant wrapper for ptrdiff_t.The PtrdiffT class template represents an integr...
Definition: PtrdiffT.h:72
ElementType_< VT1 > ET1
Element type of the left-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:100
#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
#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
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SVecSVecCrossExpr.h:128
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: SVecSVecCrossExpr.h:191
If_< IsExpression< VT2 >, const VT2, const VT2 &> RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:134
Header file for the IsComputation type trait class.
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
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
SVecSVecCrossExpr(const VT1 &lhs, const VT2 &rhs) noexcept
Constructor for the SVecSVecCrossExpr class.
Definition: SVecSVecCrossExpr.h:157
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
Expression object for sparse vector-sparse vector cross products.The SVecSVecCrossExpr class represen...
Definition: Forward.h:142
SubExprTrait_< MultExprTrait_< RN1, RN2 >, MultExprTrait_< RN1, RN2 > > ExprReturnType
Expression return type for the subscript operator.
Definition: SVecSVecCrossExpr.h:114
Header file for the IsExpression type trait class.
ResultType_< VT2 > RT2
Result type of the right-hand side sparse vector expression.
Definition: SVecSVecCrossExpr.h:95
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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SVecSVecCrossExpr.h:125