% Introduction to working with functions in MatLab

%clear memory and screen
clear all; clc;

%%
%-----------------------
%BASIC OPERATOR: * VS +
%-----------------------
clear all;                           %clear memory
max_iteration = 5000000;             %number of iterations in the loops
fprintf('BASIC OPERATOR: * VS +');
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for i=1:max_iteration
    x = 2*i;
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for ii=1:max_iteration
    y = ii+ii;
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

%%
%-----------------------
%BASIC OPERATORS: / VS *
%-----------------------
clear all;                           %clear memory
max_iteration = 5000000;             %number of iterations in the loops
fprintf('BASIC OPERATORS: / VS *');
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for i=1:max_iteration
    x = i/5;
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for ii=1:max_iteration
    y = 0.2*ii;
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

%%
%---------------------------
%BASIC OPERATORS: POWER VS *
%---------------------------
clear all;                           %clear memory
max_iteration = 1000000;             %number of iterations in the loops
fprintf('BASIC OPERATORS: POWER VS *');
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for i=1:max_iteration
    x = i^3;
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for ii=1:max_iteration
    y = ii*ii*ii;
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

%%
%-------------------------------
%BASIC OPERATORS: HOMER'S METHOD
%-------------------------------
clear all;                  %clear memory
max_iteration = 1000000;    %number of iterations in the loops
a=2; b=3; c=4;              %some constants
fprintf('BASIC OPERATORS: HOMER''S METHOD');
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for i=1:max_iteration
    x = a*i^2+b*i+c;
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for ii=1:max_iteration
    y = c+ii*(b+a*ii);
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

%%
%----------------------------
%BASIC OPERATORS: SQUARE ROOT
%----------------------------
clear all;               %clear memory
max_iteration = 1000000; %number of iterations in the loops
fprintf('BASIC OPERATORS: SQUARE ROOT');
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for i=1:max_iteration
    x = i^(0.5);
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for ii=1:max_iteration
    y = sqrt(ii);
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

%%
%----------------------------------
%BASIC OPERATORS: SEVERAL DIVISIONS
%----------------------------------
clear all;              %clear memory
max_iteration = 1000;   %number of iterations in the loops
a=2; b=3; c=4;          %some constants 
fprintf('BASIC OPERATORS: SEVERAL DIVISIONS');
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for i=1:max_iteration
    for j=1:max_iteration
        x = a/i/j;
    end
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for ii=1:max_iteration
    for jj=1:max_iteration
        y = a/(ii*jj);
    end
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

%%
%--------------------
%BASIC OPERATORS: EXP
%--------------------
clear all;              %clear memory
max_iteration = 1000;   %number of iterations in the loops
fprintf('BASIC OPERATORS: EXP');
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for i=1:max_iteration
    for j=1:max_iteration
        x = exp(i)*exp(j);
    end
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for ii=1:max_iteration
    for jj=1:max_iteration
        y = exp(ii+jj);
    end
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

%%
%---------------------
%BASIC OPERATORS - LOG
%---------------------
clear all;              %clear memory
max_iteration = 1000;   %number of iterations in the loops
fprintf('BASIC OPERATORS: LOG');
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for i=1:max_iteration
    for j=1:max_iteration
        x = log(i)+log(j);
    end
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for ii=1:max_iteration
    for jj=1:max_iteration
        y = log(ii*jj);
    end
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

%----------------------------
%BASIC OPERATORS: LOG + POWER
%----------------------------
clear all;              %clear memory
max_iteration = 1000;   %number of oterations in the loops
fprintf('BASIC OPERATORS: LOG + POWER');
fprintf('\n');

start_time=clock; start_cpu=cputime;
for i=1:max_iteration
    for j=1:max_iteration
        x = log(i^j);
    end
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');

start_time=clock; start_cpu=cputime; %initialize timing variables
for ii=1:max_iteration
    for jj=1:max_iteration
        y = jj*log(ii);
    end
end
% End program and print out the results
end_time=clock; end_cpu=cputime;
fprintf('Program executed in %10.5f seconds',etime(end_time,start_time));
fprintf('\n');
fprintf('Using %24.5f CPU time', end_cpu-start_cpu);
fprintf('\n');