Hi! I need help with a function with arrays.

Hi! I need help with a function with arrays. I did a function that receive the n terms and the outputs are the relative error and the pi estimate value. But, I need to do but in the following way:

Instructions: Implement the equation in a function that receives the relative error willing to accept and return the user a vector with all values of π and other vector estimated with relative errors associated with each value of π. The equation is

pi/4= 1-1/3+1/5-1/7+1/9...- (Leibniz Equation)

The function that I have is the following:

%function
m=input('entre la cantidad de términos;   ');
p=0; 
for i=1: m
    p=p-4*((-1)^(i-1)/(2*i*-1+1));
    error=abs(pi-p);
    if error <=0.01
        break
    end
end 

      disp('el numero de pi es;'); disp(p)
      disp('El error cometido es;'); disp(error)
      disp('La iteración final es:'); disp(i)

THANKS A LOT!

[Walter Roberson]

Please do not use error as the name of a variable: error is the key MATLAB routine for triggering error conditions.

Answer 1

[Walter Roberson]

The 0.01 that you use needs to be replaced with a variable, as the problem statement requires that the acceptable relative error is an input.

You should be storing each p value as you go, something like

tolerance = 0.01;
p(1) = 0;
err(1) = pi;
for i=1: m
    p(i+1) = p(i) -4*((-1)^(i-1)/(2*i*-1+1));
    err(i+1) = abs(pi-p(i+1));
    if err(i+1) <= tolerance
        break
    end
end