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

## Description

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

## Usage

 ```1 2 3 4 5``` ```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

 ```1 2 3 4 5 6 7 8 9``` ```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 April 8, 2021, 5:51 a.m.