Basis Struct Reference

Vector basis object. More...

Public Member Functions
void	operator init (triple a, triple b, triple c)
void	normalise ()
real[][]	getMatrix ()
bool	isComplete ()
triple	getCoordinates (triple coordinates)
triple	getCartesian (triple coordinates)
void	draw (bool unit_vectors=false, bool draw_label=true)
	Draw a "repere".

Data Fields
triple	a
	Vector 1.
triple	b
	Vector 2.
triple	c
	Vector 3.
Label	a_label = Label("a",1)
	Label for vector a.
Label	b_label = Label("b",1)
	Label for vector b.
Label	c_label = Label("c",1)
	Label for vector c.
triple	origin = (0,0,0)
	Origin point for drawing.

Detailed Description

Vector basis object.

This structure is used to define a Basis from 3 vectors. These vectors needn't be orthogonal.

Member Function Documentation

triple Basis::getCartesian ( triple  coordinates )

inline

Get usual cartesian coordinates from a vector in the basis coordinates.

Parameters

coordinates

Generic vector expressed in the coordinates of the basis.

triple Basis::getCoordinates ( triple  coordinates )

inline

Get usual cartesian coordinates from a vector in the basis coordinates.

Parameters

coordinates

of a vector expressed in cartesian (canonical coordinates).

Returns

Coordinates of the vector expressed in the basis.

bool Basis::isComplete ( )

inline

Returns true if the basis spans \(\mathbf R^3\).

void Basis::normalise ( )

inline

Normalise the basis

This function changes the basis vectors into unit vectors along the same direction

void Basis::operator init ( triple  a, triple  b, triple  c  )

inline

Constructor of the Basis structure.

Parameters

a	The first vector
b	The second vector
c	The third vector

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The documentation for this struct was generated from the following file:

• src/basis.asy