DescTools (version 0.99.19)

CartToPol: 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.

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.

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.

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