# CartToPol: Transform Cartesian to Polar/Spherical Coordinates and Vice... In AndriSignorell/DescTools: Tools for Descriptive Statistics

 CartToPol 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
``````

AndriSignorell/DescTools documentation built on Feb. 10, 2024, 9:40 a.m.