35 #ifndef _BLAZE_MATH_EXPRESSIONS_DVECDVECCROSSEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DVECDVECCROSSEXPR_H_
83 template<
typename VT1
143 enum :
bool { simdEnabled =
false };
146 enum :
bool { smpAssignable =
false };
175 else if( index == 1UL )
176 return lhs_[2UL] * rhs_[0UL] -
lhs_[0UL] * rhs_[2UL];
178 return lhs_[0UL] * rhs_[1UL] -
lhs_[1UL] * rhs_[0UL];
189 inline ReturnType
at(
size_t index )
const {
193 return (*
this)[index];
202 inline constexpr
size_t size() const noexcept {
233 template<
typename T >
234 inline bool canAlias(
const T* alias )
const noexcept {
235 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
245 template<
typename T >
246 inline bool isAliased(
const T* alias )
const noexcept {
247 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
269 template<
typename VT >
280 (~lhs)[0] = x[1UL]*y[2UL] - x[2UL]*y[1UL];
281 (~lhs)[1] = x[2UL]*y[0UL] - x[0UL]*y[2UL];
282 (~lhs)[2] = x[0UL]*y[1UL] - x[1UL]*y[0UL];
299 template<
typename VT >
311 const ResultType tmp(
serial( rhs ) );
329 template<
typename VT >
330 friend inline void addAssign( DenseVector<VT,TF>& lhs,
const DVecDVecCrossExpr& rhs )
337 LT x(
serial( rhs.lhs_ ) );
338 RT y(
serial( rhs.rhs_ ) );
340 (~lhs)[0] += x[1UL]*y[2UL] - x[2UL]*y[1UL];
341 (~lhs)[1] += x[2UL]*y[0UL] - x[0UL]*y[2UL];
342 (~lhs)[2] += x[0UL]*y[1UL] - x[1UL]*y[0UL];
363 template<
typename VT >
364 friend inline void subAssign( DenseVector<VT,TF>& lhs,
const DVecDVecCrossExpr& rhs )
371 LT x(
serial( rhs.lhs_ ) );
372 RT y(
serial( rhs.rhs_ ) );
374 (~lhs)[0] -= x[1UL]*y[2UL] - x[2UL]*y[1UL];
375 (~lhs)[1] -= x[2UL]*y[0UL] - x[0UL]*y[2UL];
376 (~lhs)[2] -= x[0UL]*y[1UL] - x[1UL]*y[0UL];
397 template<
typename VT >
398 friend inline void multAssign( DenseVector<VT,TF>& lhs,
const DVecDVecCrossExpr& rhs )
405 LT x(
serial( rhs.lhs_ ) );
406 RT y(
serial( rhs.rhs_ ) );
408 (~lhs)[0] *= x[1UL]*y[2UL] - x[2UL]*y[1UL];
409 (~lhs)[1] *= x[2UL]*y[0UL] - x[0UL]*y[2UL];
410 (~lhs)[2] *= x[0UL]*y[1UL] - x[1UL]*y[0UL];
431 template<
typename VT >
432 friend inline void divAssign( DenseVector<VT,TF>& lhs,
const DVecDVecCrossExpr& rhs )
439 LT x(
serial( rhs.lhs_ ) );
440 RT y(
serial( rhs.rhs_ ) );
442 (~lhs)[0] /= x[1UL]*y[2UL] - x[2UL]*y[1UL];
443 (~lhs)[1] /= x[2UL]*y[0UL] - x[0UL]*y[2UL];
444 (~lhs)[2] /= x[0UL]*y[1UL] - x[1UL]*y[0UL];
498 template<
typename T1
501 inline const DVecDVecCrossExpr<T1,T2,TF>
506 if( (~lhs).
size() != 3UL || (~rhs).
size() != 3UL ) {
540 template<
typename T1
543 inline const DVecDVecCrossExpr<T1,T2,TF>
561 template<
typename VT1,
typename VT2,
bool TF >
562 struct Size< DVecDVecCrossExpr<VT1,VT2,TF> > :
public SizeT<3UL>
#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
RightOperand rhs_
Right-hand side dense vector of the cross product expression.
Definition: DVecDVecCrossExpr.h:254
ReturnType_< VT2 > RN2
Return type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:95
Header file for auxiliary alias declarations.
SubExprTrait_< MultExprTrait_< RN1, RN2 >, MultExprTrait_< RN1, RN2 > > ExprReturnType
Expression return type for the subscript operator.
Definition: DVecDVecCrossExpr.h:112
CrossTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DVecDVecCrossExpr.h:118
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
ElementType_< VT2 > ET2
Element type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:99
Header file for basic type definitions.
DVecDVecCrossExpr< VT1, VT2, TF > This
Type of this DVecDVecCrossExpr instance.
Definition: DVecDVecCrossExpr.h:117
Header file for the serial shim.
DVecDVecCrossExpr(const VT1 &lhs, const VT2 &rhs) noexcept
Constructor for the DVecDVecCrossExpr class.
Definition: DVecDVecCrossExpr.h:155
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector) noexcept
Returns the current size/dimension of the vector.
Definition: Vector.h:258
If_< IsComputation< VT2 >, const StaticVector< ET2, 3UL, TF >, CT2 > RT
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:138
Base class for all cross product expression templates.The CrossExpr class serves as a tag for all exp...
Definition: CrossExpr.h:65
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DVecDVecCrossExpr.h:120
Header file for the DenseVector base class.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DVecDVecCrossExpr.h:170
Expression object for dense vector-dense vector cross products.The DVecDVecCrossExpr class represents...
Definition: DVecDVecCrossExpr.h:86
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
Header file for the Computation base class.
Header file for the SizeT class template.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
Constraint on the data type.
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:343
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: DVecDVecCrossExpr.h:212
Constraint on the transpose flag of vector types.
If_< IsExpression< VT2 >, const VT2, const VT2 & > RightOperand
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:132
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:344
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.
RightOperand rightOperand() const noexcept
Returns the right-hand side dense vector operand.
Definition: DVecDVecCrossExpr.h:222
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
If_< IsExpression< VT1 >, const VT1, const VT1 & > LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:129
const DVecDVecCrossExpr< T1, T2, TF > cross(const DenseVector< T1, TF > &lhs, const DenseVector< T2, TF > &rhs)
Cross product of two dense vectors ( ).
Definition: DVecDVecCrossExpr.h:544
#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 ResultType CompositeType
Data type for composite expression templates.
Definition: DVecDVecCrossExpr.h:126
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DVecDVecCrossExpr.h:119
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
ResultType_< VT1 > RT1
Result type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:92
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: DVecDVecCrossExpr.h:189
#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:60
ResultType_< VT2 > RT2
Result type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:93
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:135
Header file for all forward declarations for expression class templates.
Header file for the CrossExpr base class.
CompositeType_< VT1 > CT1
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:96
Header file for all forward declarations for dense vectors and matrices.
ElementType_< VT1 > ET1
Element type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:98
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DVecDVecCrossExpr.h:123
Header file for run time assertion macros.
Header file for the cross product trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DVecDVecCrossExpr.h:246
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:160
CompositeType_< VT2 > CT2
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:97
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DVecDVecCrossExpr.h:234
If_< IsComputation< VT1 >, const StaticVector< ET1, 3UL, TF >, CT1 > LT
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:135
#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 DVecDVecCrossExpr< T1, T2, TF > operator%(const DenseVector< T1, TF > &lhs, const DenseVector< T2, TF > &rhs)
Operator for the cross product of two dense vectors ( ).
Definition: DVecDVecCrossExpr.h:502
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:59
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:110
#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
constexpr size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: DVecDVecCrossExpr.h:202
LeftOperand lhs_
Left-hand side dense vector of the cross product expression.
Definition: DVecDVecCrossExpr.h:253
ReturnType_< VT1 > RN1
Return type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:94
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
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
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.