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 |

### 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
```

*DescTools*version 0.99.54 Index]