function [xList, errorList] = Secant(f, p0, p1, errorAllowed)
%
%Secant(f, p0, p1, errorAllowed)
%This function find the root of a function using the Secant Method
%

	%Make sure the number of arguments is correct
	if(narginchk(4,4))
		error('That is an incorrect number of arguments')
	end
	%A few necesary things before we get started
	pkg load symbolic;
	warning('off','OctSymPy:sym:rationalapprox');
	%Constant variables
	maxIt = 50;
	%Variables
	cnt = 2;
	q0 = double(subs(f,p0));
	q1 = double(subs(f,p1));
	currentError = errorAllowed + 1;
	p = 0;

	%Loop until you find an answer within error or you reach the maximum number of itterations
	while((cnt <= maxIt) && (currentError >= errorAllowed))
		p = p1 - (q1 * (p1 - p0))/(q1 - q0);
		currentError = abs(p - p1);
		%Add the x and error values to memory
		xList(end+1) = p;
		errorList(end+1) = currentError;
		%Setup for the next run
		++cnt;
		p0 = p1;
		q0 = q1;
		p1 = p;
		q1 = double(subs(f,p));
	end
end