Handle to piece-wise function in Matlab -

how handle piece-wise functon in matlab, example

function f= analiticalf(t1,t2,t,curve)   %solved in maxima   %solve([a3*t1^3+a2*t1^2+a1*t1+a0= l1, a3*t2^3+a2*t2^2+a1*t2+a0= l2, 3*a3*t1^2+2*a2*t1+a1= 0, 3*a3*t2^2+2*a2*t2+a1= 0],[a3,a2,a1,a0]);    l1= curve(t1);   l2= curve(t2);   if (t <= t1)     f= @(t)l1;   elseif(t >= t2)     f= @(t)l2;   else     a3=-(2*l1-2*l2)/(-t2^3+3*t1*t2^2-3*t1^2*t2+t1^3);     a2=(-3*t2*l2-3*t1*l2+(3*t2+3*t1)*l1)/(-t2^3+3*t1*t2^2-3*t1^2*t2+t1^3);     a1=-(6*t1*t2*l1-6*t1*t2*l2)/(-t2^3+3*t1*t2^2-3*t1^2*t2+t1^3);     a0=(-3*t1^2*t2*l2+t1^3*l2+(3*t1*t2^2-t2^3)*l1)/(-t2^3+3*t1*t2^2-3*t1^2*t2+t1^3);      f= @(t)a3*t^3 + a2*t^2 + a1*t + a0;   end  end 

then want apply function array of elements:

f= analiticalf(t1,t2,t,curve); y= arrayfun(f,trange); 

but problem need specify t in analiticalf(t1,t2,t,curve) , want t parameter free. need 'smart' handle of function f such call f(100) can determine part of piece-wise function use without specifying parameter t.

you can use indicator functions! example if if want function f(t) = t when t < 0 , f(t) = t^2 when t >= 0, can define:

f = @(t) t*(t<0) + t^2*(t>=0); 

this can of course generalized more advanced functions 1 of yours!

i hope solves problem.

edit: decided throw in solution function:

function f= analiticalf(t1,t2,curve)   l1= curve(t1);   l2= curve(t2);   a3=-(2*l1-2*l2)/(-t2^3+3*t1*t2^2-3*t1^2*t2+t1^3);   a2=(-3*t2*l2-3*t1*l2+(3*t2+3*t1)*l1)/(-t2^3+3*t1*t2^2-3*t1^2*t2+t1^3);   a1=-(6*t1*t2*l1-6*t1*t2*l2)/(-t2^3+3*t1*t2^2-3*t1^2*t2+t1^3);   a0=(-3*t1^2*t2*l2+t1^3*l2+(3*t1*t2^2-t2^3)*l1)/(-t2^3+3*t1*t2^2-3*t1^2*t2+t1^3);   f = @(t) (t <= t1)*l1 + (t >= t2)*l2 + ((t > t1)&(t<t2))*(a3*t^3 + a2*t^2 + a1*t + a0); end