## Calculate ellipse part arc lengths using ellipse parameter (theta1,theta2,a,b,​tolerance)

version 1.1.0.0 (2.09 KB) by
Calculates elliptic arc/ parts of ellipse lengths using infinite sum method given the ellipse

Updated 9 Mar 2018

Calculates the arclength of elliptic curve starts from theta1 and ends at theta2, using infinite series approach given in the reference at end of description
NOTE:
* if theta1 > theta2 arc length will be negative
* maximum number of iterations is set as 100, change from code if necessary
Inputs:
* theta1 and theta2 are defined such that;
defined in ellipse parameter such that for a point (x,y) on ellipse:
x = a*cos(theta1)
y = b*sin(theta2)
* a,b are semimajor and semiminor axes of ellipse, however function
supports entering them as vice versa
* tolerance sets the accuracy of calculation
Outputs:
* arcLen: arclength in units of the input a and b
* precision: difference of ellipse length with one higher iteration calculation
* n: number of iterations
referenced from:
http://pages.pacificcoast.net/~cazelais/250a/ellipse-length.pdf
example:
[arcLen, precision, n] = ellipseArcLength(0, 2*pi, 5,4,1e-5)
Author: Mehmet Burak Ekinci
Mail: elessar208@gmail.com

### Cite As

Mehmet Burak Ekinci (2022). Calculate ellipse part arc lengths using ellipse parameter (theta1,theta2,a,b,tolerance) (https://www.mathworks.com/matlabcentral/fileexchange/66172-calculate-ellipse-part-arc-lengths-using-ellipse-parameter-theta1-theta2-a-b-tolerance), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R2017b
Compatible with any release
##### Platform Compatibility
Windows macOS Linux

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