Same Function but Different Result (Basic Function)

Hi all, can anybody help me ? I have 2 same functions here, but when I evaluate them, I got a slightly different result. Perhaps someone could help me to check it ? Thank you

The first version is

t = [4:1:14];
A0 = 23
rho = 1.2
Ton = 1.2
Toff = 6
r = 0.6
del_a = 3.8 
del_m = 0.1

p = t>=Ton;
q = t <Toff;
s = t>=Toff;

A = (A0*exp(rho.*(t - Ton)).*p.*q) + (A0*exp(rho*(Toff - Ton))*exp(-(r+del_a).*(t - Toff))).*s;
M = ((r/(r+del_a - del_m))*(A0*exp(rho*(Toff - Ton))*exp(-del_m.*(t-Toff)) - A)).*s;

y = A+M
plot(t,y)

and the second version is :

 t = [4:1:14];
  Par(1) = 23
  Par(2) = 1.2
  Par(3) = 1.2
  Par(4) = 6
  Par(5) = 0.6
  Par(6) = 3.8 
  Par(7) = 0.1

model = @(Par,t) (    (    Par(1)*exp(Par(2).*(t - Par(3))).*(t>=Par(3)).*(t < Par(4))    )...
                    + ( Par(1)*exp(Par(4) - Par(3))*exp(-(Par(5)+Par(6)).*(t - Par(4))).*(t >= Par(:,4)))...
                    + (        (Par(5)/(Par(5) + Par(6) - Par(7))) *(           (Par(1)*exp(Par(2)*(Par(4) - Par(3))))* ...
                        exp(-Par(7).*(t - Par(4))) - ((    Par(1)*exp(Par(2).*(t - Par(3))).*(t>=Par(3)).*(t < Par(4))    )...
                    + ( Par(1)*exp(Par(4) - Par(3))*exp(-(Par(5)+Par(6)).*(t - Par(4))).*(t >= Par(4)))... 
                    )                  )         ).*(t>=Par(4))        ...
                    )

y = model(Par,time);
plot(t,y)

the problem is I have a slightly different result, but both of them are a same function. Can anybody help ? What I want to do is to convert my function in the first version into a function handle like in the second version

Thanks very much

[Jan]

I get the error message "??? Undefined function or variable 'time'." for the second version. Do you mean "t" instead?

Answer 1

[Jan]

If I replace "time" by "t", I get this:

y1 = A+M;
y2 =  model(Par, t);
y1 - y2
% >> 0, 0, 3875.769e, 47.58413, 0.5842066, 7.172503e-3, 8.805925e-5, 1.081133e-6, 1.327351e-8, 1.629701e-10, 1.989520e-12

This seems to show, that the functions are different.

The 2nd version is very hard to read. I'd really avoid such ugly code, because, as you already see, it is nearly impossible to debug it. Do you have any good reasons to prefer this kind of code?

[CVR]

Yes you are right. I would prefer the first version now. The reason is because I need a function handle, not sure if a matlab function could be converted into a function handle

[Jan]

You can simply write the code into a function and create a function handle either by setting "@" before the name of the function, or by using str2func.

[CVR]

wow, great.. It works Thx