pol2cart: pol2cart

In useful: A Collection of Handy, Useful Functions

pol2cart

Description

Converts polar coordinates to cartesian coordinates

Usage

pol2cart(r, theta, degrees = FALSE)

Arguments

r	The radius of the point
theta	The angle of the point, in radians
degrees	Logical indicating if theta is specified in degrees

Details

Converts polar coordinates to cartesian coordinates using a simple conversion. The angle, theta must be in radians.

Somewhat inspired by http://www.r-bloggers.com/convert-polar-coordinates-to-cartesian/ and https://www.mathsisfun.com/polar-cartesian-coordinates.html

Value

A data.frame holding the (x,y) coordinates and original polar coordinates

Author(s)

Jared P. Lander

Examples

polarRadPosTop <- data.frame(r=c(3, 5, 3, 5, 4, 6, 4, 6, 2), 
     theta=c(0, pi/6, pi/4, pi/3, pi/2, 2*pi/3, 3*pi/4, 5*pi/6, pi))
polarRadPosBottom <- data.frame(r=c(3, 5, 3, 5, 4, 6, 4, 6, 2), 
     theta=c(pi, 7*pi/6, 5*pi/4, 4*pi/3, 3*pi/2, 5*pi/3, 7*pi/4, 9*pi/6, 2*pi))
polarRadNegTop <- data.frame(r=c(3, 5, 3, 5, 4, 6, 4, 6, 2), 
     theta=-1*c(0, pi/6, pi/4, pi/3, pi/2, 2*pi/3, 3*pi/4, 5*pi/6, pi))
polarRadNegBottom <- data.frame(r=c(3, 5, 3, 5, 4, 6, 4, 6, 2), 
     theta=-1*c(pi, 7*pi/6, 5*pi/4, 4*pi/3, 3*pi/2, 5*pi/3, 7*pi/4, 9*pi/6, 2*pi))

pol2cart(polarRadPosTop$r, polarRadPosTop$theta)
pol2cart(polarRadPosBottom$r, polarRadPosBottom$theta)
pol2cart(polarRadNegTop$r, polarRadNegTop$theta)
pol2cart(polarRadNegBottom$r, polarRadNegBottom$theta)

useful documentation built on Oct. 24, 2023, 9:07 a.m.