📄 legsn.m
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function [f,dfdt] = legsn(theta)
% legsn Evaluate f(theta) and fprime(theta) for the picnic leg problem.
% Used with the Newton's method.
%
% Synopsis: [f,dfdt] = legsn(theta)
%
% Input: theta = angle of table leg in radians
% WLENGTH HLENGTH and BLENGTH are global variables giving
% table dimensions
%
% Output: f = value of function that, when theta is a root, is equal to zero
% dfdt = fprime(theta), ie. df/dtheta
global WLENGTH HLENGTH BLENGTH
f = WLENGTH*sin(theta) - HLENGTH*cos(theta) - BLENGTH;
dfdt = WLENGTH*cos(theta) + HLENGTH*sin(theta);
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