35 #ifndef _BLAZE_MATH_EXPRESSIONS_DVECDVECCROSSEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DVECDVECCROSSEXPR_H_ 84 template<
typename VT1
88 :
public CrossExpr< DenseVector< DVecDVecCrossExpr<VT1,VT2,TF>, TF > >
144 enum :
bool { simdEnabled =
false };
147 enum :
bool { smpAssignable =
false };
176 else if( index == 1UL )
177 return lhs_[2UL] * rhs_[0UL] -
lhs_[0UL] * rhs_[2UL];
179 return lhs_[0UL] * rhs_[1UL] -
lhs_[1UL] * rhs_[0UL];
194 return (*
this)[index];
203 inline constexpr
size_t size() const noexcept {
234 template<
typename T >
235 inline bool canAlias(
const T* alias )
const noexcept {
236 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
246 template<
typename T >
247 inline bool isAliased(
const T* alias )
const noexcept {
248 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
270 template<
typename VT >
281 (~lhs)[0] = x[1UL]*y[2UL] - x[2UL]*y[1UL];
282 (~lhs)[1] = x[2UL]*y[0UL] - x[0UL]*y[2UL];
283 (~lhs)[2] = x[0UL]*y[1UL] - x[1UL]*y[0UL];
300 template<
typename VT >
330 template<
typename VT >
341 (~lhs)[0] += x[1UL]*y[2UL] - x[2UL]*y[1UL];
342 (~lhs)[1] += x[2UL]*y[0UL] - x[0UL]*y[2UL];
343 (~lhs)[2] += x[0UL]*y[1UL] - x[1UL]*y[0UL];
364 template<
typename VT >
375 (~lhs)[0] -= x[1UL]*y[2UL] - x[2UL]*y[1UL];
376 (~lhs)[1] -= x[2UL]*y[0UL] - x[0UL]*y[2UL];
377 (~lhs)[2] -= x[0UL]*y[1UL] - x[1UL]*y[0UL];
398 template<
typename VT >
409 (~lhs)[0] *= x[1UL]*y[2UL] - x[2UL]*y[1UL];
410 (~lhs)[1] *= x[2UL]*y[0UL] - x[0UL]*y[2UL];
411 (~lhs)[2] *= x[0UL]*y[1UL] - x[1UL]*y[0UL];
432 template<
typename VT >
443 (~lhs)[0] /= x[1UL]*y[2UL] - x[2UL]*y[1UL];
444 (~lhs)[1] /= x[2UL]*y[0UL] - x[0UL]*y[2UL];
445 (~lhs)[2] /= x[0UL]*y[1UL] - x[1UL]*y[0UL];
499 template<
typename VT1
502 inline decltype(
auto)
507 if( (~lhs).
size() != 3UL || (~rhs).
size() != 3UL ) {
542 template<
typename VT1
562 template<
typename VT1,
typename VT2,
bool TF >
563 struct Size< DVecDVecCrossExpr<VT1,VT2,TF> >
#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:255
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:70
Header file for basic type definitions.
ElementType_< VT1 > ET1
Element type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:99
ResultType_< VT2 > RT2
Result type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:94
Header file for the serial shim.
DVecDVecCrossExpr(const VT1 &lhs, const VT2 &rhs) noexcept
Constructor for the DVecDVecCrossExpr class.
Definition: DVecDVecCrossExpr.h:156
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.
Expression object for dense vector-dense vector cross products.The DVecDVecCrossExpr class represents...
Definition: DVecDVecCrossExpr.h:87
Header file for the Computation base class.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DVecDVecCrossExpr.h:127
ReturnType_< VT1 > RN1
Return type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:95
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
CompositeType_< VT2 > CT2
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:98
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: DVecDVecCrossExpr.h:213
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DVecDVecCrossExpr.h:120
Constraint on the transpose flag of vector types.
If_< IsExpression< VT1 >, const VT1, const VT1 &> LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:130
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.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
If_< IsComputation< VT2 >, const StaticVector< ET2, 3UL, TF >, CT2 > RT
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:139
Header file for the IsTemporary type trait class.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
CrossTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DVecDVecCrossExpr.h:119
ElementType_< VT2 > ET2
Element type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:100
#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
ReturnType_< VT2 > RN2
Return type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:96
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:70
RightOperand rightOperand() const noexcept
Returns the right-hand side dense vector operand.
Definition: DVecDVecCrossExpr.h:223
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: DVecDVecCrossExpr.h:190
Constraint on the data type.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DVecDVecCrossExpr.h:171
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:159
Constraint on the data type.
Header file for all forward declarations for expression class templates.
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.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DVecDVecCrossExpr.h:235
If_< IsExpression< VT2 >, const VT2, const VT2 &> RightOperand
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:133
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DVecDVecCrossExpr.h:124
Header file for run time assertion macros.
constexpr size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: DVecDVecCrossExpr.h:203
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DVecDVecCrossExpr.h:121
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:819
#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
ResultType_< VT1 > RT1
Result type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:93
If_< IsComputation< VT1 >, const StaticVector< ET1, 3UL, TF >, CT1 > LT
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:136
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3082
#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
Compile time evaluation of the size of a vector.The Size type trait evaluates the size of the given v...
Definition: Size.h:74
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:130
LeftOperand lhs_
Left-hand side dense vector of the cross product expression.
Definition: DVecDVecCrossExpr.h:254
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DVecDVecCrossExpr.h:247
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
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
CompositeType_< VT1 > CT1
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecCrossExpr.h:97
Header file for the IsExpression type trait class.
SubExprTrait_< MultExprTrait_< RN1, RN2 >, MultExprTrait_< RN1, RN2 > > ExprReturnType
Expression return type for the subscript operator.
Definition: DVecDVecCrossExpr.h:113
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