Coordinate conversions

Header file coords.h

Global methods

Radians and degrees

Convert radians to degrees and degrees to radians:

   double rad2deg(double angle_in_radians)
   double deg2rad(double angle_in_degrees)

e.g.

#include<coords.h>
...
double angle; cin >> angle; // read in degrees
angle = deg2rad(angle); // convert to radians
...
angle = rad2deg(angle); // convert back to degrees

Classes

Circular polars (2D)

Name

Circular_polar (inherits from Classio)

Data members

double r: radius
double theta: angle (radians)

Input/output methods

void Read(istream& stream): reads r, theta
void Write(ostream& stream): writes r, theta

Type conversion methods

Create from a 2D vector: Circular_polar (const Vector2d& v)
Create a 2D vector: Vector2d cartesian() const

e.g.

#include<coords.h>
...
Vector2d v; cin >> v; // read 2D vector
Circular_polar vp(v); // convert to circular polar

Spherical polars

Name

Spherical_polar (inherits from Classio)

Data members

double r: radius
double theta: angle in xy plane (radians)
double phi: angle from z axis (radians)

Input/output methods

void Read(istream& stream): reads r, theta, phi
void Write(ostream& stream): writes r, theta, phi

Type conversion methods

Create from a 3D vector: Spherical_polar (const Vector3d& v)
Create a 3D vector: Vector3d cartesian() const

e.g.

#include<coords.h>
...
Spherical_polar vp; cin >> vp; // read spherical polar
Vector3d v = vp.cartesian(); // convert to 3-vector