Module geomath::prelude::coordinates

Coordinates accessors

Get and Set coordinates of 2D and 3D vectors.

Conventions

A coherent naming convention between polar, cylindrical and spherical coordinates has been established.

Coordinates naming

3D coordinates representation in geomath

The four basic coordinates systems are represented

• (x, y, z) the cartesian coordinates
• (rho, phi, z) the polar/cylindrical coordinates
• (r, phi, theta) the spherical coordinates

The traits are implemented such that there is no code repetition between the systems that have coordinates in common. For example, since the angle phi is common to polar and spherical coordinates systems it will be only defined in the Polar trait.

Notes :

• The value of phi remains the same in both polar/cylindrical and spherical coordinates systems
• The value of r in the schema above is denoted radius in the code
• The z coordinate is common to cartesian and cylindrical coordinates systems

Local basis

You can generate vectors of the local basis of each coordinate system, the convention is described in the schemas bellow.

Traits

Cylindrical

Cylindrical coordinates accessors

Homogeneous

Homogeneous coordinates transforms

Polar

Polar coordinates accessors

Spherical

Spherical coordinates accessors