3-dimensional vector. More...

#include <elementary/eagle/PhysicalSpace.hpp>

Inheritance diagram for Eagle::PhysicalSpace::vector:

Public Member Functions
vector	inv () const
	Compute the inverse vector $v^{-1} = v/\|v\|^2$ .

vector	multiply (const FixedArray< double, 3 > &F) const
	Rescaling this vector by component-wise multiplication.

vector	multiply (double F0, double F1, double F2) const
	Rescaling this vector by component-wise multiplication.

vector &	normalize ()
	Normalize this vector.

vector	operator() (const vector &v) const
	Compute nvn, which is the reflection of the vector v along the current vector n.

bivector	operator* () const
	Compute the dual of this vector.

vector	operator+ (const vector &r) const
	Add two vectors.

vector	operator- () const
	Unary minus.

vector	unit () const
	Return the unit vector of this vector.

constexpr	vector ()
	Evil default constructor.

	vector (const DomainVector_t &v)
	Copy constructor.

	vector (const DomainVector_t::Base_t &v)
	Copy constructor.

template<OperatorID_t CompType>
	vector (const double &scalar, const vector &l, const Operator< CompType > &C)
	Generic computational constructor for scalar-vector operations.

	vector (const point &l)
	Construct vector from point.

	vector (const point &l, const point &r, const Operator<'-'> &C)
	Construct vector as subtraction of two points.

template<OperatorID_t CompType>
	vector (const vector &l, const double &scalar, const Operator< CompType > &C)
	Generic computational constructor for vector-scalar operations.

	vector (const vector &l, const Operator<'-'> &C)
	Computational constructor for unitary minus.

template<OperatorID_t CompType>
	vector (const vector &l, const vector &r, const Operator< CompType > &C)
	Generic computational constructor for two vectors.

	vector (double x, double y, double z)
	Component-wise construction.

Orthogonal vector functions
void	Ortho (vector &v, vector &w) const
	Find two vectors which are orthogonal to this.

vector	ortho () const
	Find a vector which is orthogonal to this.

Friends
double	dot (const vector &a, const vector &b)
	Compute the Euclidean dot product (inner product) of two vectors.

Metric	dyadic (const vector &a, const vector &b)
	Tensor product or dyadic product of two vectors.

vector	operator* (const real &scalar, const vector &v)
	Multiply scalar with a vector, yielding a vector.

vector	operator* (const vector &v, const real &scalar)
	Multiply vector with scalar.

vector	operator- (const vector &l, const vector &r)
	Subtraction operator.

vector	operator/ (const vector &v, const real &scalar)
	Divide a vector by a scalar.

Detailed Description

3-dimensional vector.

Examples: AnemoneBoundingVolume.cpp, and InteractivePoint.cpp.

Constructor & Destructor Documentation

◆ vector()

constexpr Eagle::PhysicalSpace::vector::vector ( )

inlineconstexpr

Evil default constructor.

Not sure if it should do anything or nothing. Primary purpose is for use within arrays. Currently does nothing, because it should be fast, and the user shouldnt expect uninitialized variables to contain anything useful.

Referenced by multiply(), multiply(), operator+(), and operator-().

Member Function Documentation

◆ operator*()

bivector Eagle::PhysicalSpace::vector::operator* ( ) const

inline

Compute the dual of this vector.

Compute dual of a vector, which is the plane orthogonal to the given vector.

Friends And Related Symbol Documentation

◆ dyadic

Metric dyadic	(	const vector &	a,
		const vector &	b
	)

friend

Tensor product or dyadic product of two vectors.

Creates a tensor of order two.

Public Member Functions