ENGR132: HW05 - e_stimate_name

function [] = e_estimate_name(input_val, input_accuracy)

% FUNCTION: Calculates the Tylor series to find e^(user's value)
% within the given level of accuracy.
%
% INPUTS:
% 1) input_val: The user's value.
% 2) input_accuracy: The user's necessary accuracy.
%
% OUTPUTS:
% Will print: exp(user's value) = (calculated value)

%Sets the Tylor series n to 0.
counter = 0;
%Sets the current value to 0.
val_cur = 0;
%Sets the current sum of values to 0.
val_sum = 0;
%Sets the calculated level of accuracy to 1 in order to enter the loop.
mat_accuracy = 1;

%Loops until the level of accuracy reached by the calculation is greater
%than the user's necessary accuracy.
while mat_accuracy > input_accuracy
    %Sets current value to the Tylor series calculation where counter = n.
    val_cur = input_val^counter / factorial(counter);
    %Sets the sum to the previous sum plus the current value.
    val_sum = val_sum + val_cur;
    %Calculates accuracy by |e^(user input) - (sum)|
    mat_accuracy = abs(exp(input_val) - val_sum);
    %Increments counter (n) by 1.
    counter = counter + 1;
end

%Prints the user's value and the calculated value.
fprintf('exp(%0.5f) = %0.5f\n', input_val, val_sum);

% e_estimate_name(2,0.001)
% exp(2.00000) = 7.38871
% e_estimate_name(-4,0.0001)
% exp(-4.00000) = 0.01836
% e_estimate_name(12.3,0.00005)
% exp(12.30000) = 219695.98865