cart2pol

Description

Converts polar coordinates to caretsian coordinates

Usage

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cart2pol(x, y, degrees = FALSE)

Arguments

x

The x-coordinate of the point

y

The y-coordinate of the point

degrees

Logical indicating if theta should be returned in degrees

Details

Converts polar coordinates to caretsian 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 polar coordinates and the original (x,y) coordinates

Author(s)

Jared P. Lander

Examples

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library(dplyr)
x1 <- c(1, sqrt(3)/2, sqrt(2)/2, 1/2, 0)
y1 <- c(0, 1/2, sqrt(2)/2, sqrt(3)/2, 1)
d1 <- data_frame(x=x1, y=y1, Q='I')

x2 <- c(0, -1/2, -sqrt(2)/2, -sqrt(3)/2, -1)
y2 <- c(1, sqrt(3)/2, sqrt(2)/2, 1/2, 0)
d2 <- data_frame(x=x2, y=y2, Q='II')

x3 <- c(-1, -sqrt(3)/2, -sqrt(2)/2, -1/2, 0)
y3 <- c(0, -1/2, -sqrt(2)/2, -sqrt(3)/2, -1)
d3 <- data_frame(x=x3, y=y3, Q='III')

x4 <- c(0, 1/2, sqrt(2)/2, sqrt(3)/2, 1)
y4 <- c(-1, -sqrt(3)/2, -sqrt(2)/2, -1/2, 0)
d4 <- data_frame(x=x4, y=y4, Q='IV')

dAll <- bind_rows(d1, d2, d3, d4)

cart2pol(dAll$x, dAll$y)
cart2pol(dAll$x, dAll$y, degrees=TRUE)

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