MATLAB: Writing a piecewise function.

Question

Hello My teacher gave me a piecewise function to write on MATLAB.But i am not allowed to use loops like else/if/while.I tried to write something and i managed to made it. Are there any efficient way to write piecewise function? The codes that i write :

   function BugraMrt(varargin)
 t1=varargin{1}
A=varargin{2}
T=varargin{3}
t=-2:0.1:t1;
x1=(((-A.^2).*(t.^3))./(6*T.^2))+(((A.^2).*(t.^2))./(2*T));
x2=(((A.^2).*((t-T).^3))./(6*T.^2))-(((A.^2).*t)./2)+((5*(A.^2).*T)./6);
v = @(t) [(x1).*((0<=t) & (t<T)) + (x2).*((T<=t) & (t<2*T))];
figure
vt = v(t);
plot(t,vt);
ylabel('S(\tau)')
xlabel('\tau')

the Second code i write is:

function Bugrahan(varargin)
           t1=varargin{1}
           A=varargin{2}
           T=varargin{3}
         t=-2:t1:1;
           x1=(((-A.^2).*(t.^3))./(6*T.^2))+(((A.^2).*(t.^2))./(2*T));
           x2=(((A.^2).*((t-T).^3))./(6*T.^2))-(((A.^2).*t)./2)+((5*(A.^2).*T)./6);
           y=piecewise(t<=0, 0, (0<=t)&&(t<=T), x1,(T<=t)&&(t<=(2*T)),x2,t>=(2.*T),0);
           figure
           plot(t,y)

is there any way to improve this code? If i did mistakes can you tell my mistakes? Thank you for your help. Have a Good Day.

Answer 1

Your teacher probably expects you to use logical indexing.

y = nan(size(t));
mask = t < 0;
y(mask) = 0;
mask = ...
y(mask) = x1(mask);
...