calculate pi in matlab

To calculate pi in MATLAB, there are multiple algorithms to choose from. One of the simplest ways is to use the Leibniz formula for pi. This formula states that:

pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - ...

Using this formula, we can approximate pi by adding up terms until we reach a desired accuracy. Here's the MATLAB code to accomplish this:

main.m
% define the number of terms to use
n = 1000000;

% initialize the sum to 0
sum = 0;

% loop through the terms of the formula and add them up
for i = 0:n
    sum = sum + ((-1)^i) / (2*i+1);
end

% multiply the sum by 4 to get an approximation of pi
pi_approx = 4 * sum

% compare to the true value of pi
pi_true = pi
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In this example, we're using a million terms of the formula to get an approximation of pi accurate to about 6 decimal places. The result is then compared to the true value of pi in MATLAB.