R: Transform Cartesian to Polar/Spherical Coordinates and Vice...

CartToPol {DescTools} | R Documentation

## Transform Cartesian to Polar/Spherical Coordinates and Vice Versa

### Description

Transform cartesian into polar coordinates, resp. to spherical coordinates and vice versa.

### Usage

    CartToPol(x, y)
    PolToCart(r, theta)

    CartToSph(x, y, z, up = TRUE)
    SphToCart(r, theta, phi, up = TRUE)

### Arguments

`x, y, z` | vectors with the xy-coordianates to be transformed.
`r` | a vector with the radius of the points.
`theta` | a vector with the angle(s) of the points.
`phi` | a vector with the angle(s) of the points.
`up` | logical. If set to `TRUE` (default) theta is measured from x-y plane, else theta is measured from the z-axis.

### Details

Angles are in radians, not degrees (i.e., a right angle is pi/2). Use `DegToRad` to convert, if you don't wanna do it by yourself.
All parameters are recycled if necessary.

### Value

PolToCart returns a list of x and y coordinates of the points.
CartToPol returns a list of r for the radius and theta for the angles of the given points.

### Author(s)

Andri Signorell <andri@signorell.net>, Christian W. Hoffmann <christian@echoffmann.ch>

### Examples

    CartToPol(x=1, y=1)
    CartToPol(x=c(1,2,3), y=c(1,1,1))
    CartToPol(x=c(1,2,3), y=1)

    PolToCart(r=1, theta=pi/2)
    PolToCart(r=c(1,2,3), theta=pi/2)

    CartToSph(x=1, y=2, z=3)   # r=3.741657, theta=0.930274, phi=1.107149

[Package DescTools version 0.99.38 Index]