Not Enough Input Arguments using GA

I'm trying to minimize a function using GA with some of the variables as integers, with a few linear inequalities, linear equalities, and a bunch of nonlinear inequalities, keep getting the error:

Not enough input arguments.

Error in project>nonlinear (line 30)
h=x(1);

Error in project (line 13)
[x, fval, exitflag] = ga(@zfun,10,A,b,Aeq,beq,lb,ub,nonlinear,intcon,options)
 

Here's my full code:

clc; clear; %1=h 2=ds 3=db 4=n 5=s 6=Ss 7=L 8=d 9=c 10=dv
A=[0 0 1.4 0 -1 0 0 0 0 0; 0 0 0 0 0 0 0 0.9 0 -1; 0.72 0 0 0 0 0 0 0 0 -1;
    0 0 0 0 0 1 0 0 0 -0.7; -1 1 0.5 0 0 0 0 1 0 0; 0 0 0 0 0 0 1 0 0 0; 0 0 0 0 0 0 0 0 1 0];
    %bar spacing; bar spacing; bar spacing; define dv; define dv; max Ss;
    %define d
b=[0; 0; 0; 0; -75; 0; 0];
lb=[0 0 0 0 30 0 0 0 0 0];
ub=[inf inf inf inf inf 600 inf inf inf inf];
intcon=[1 2 3 4 5 6 7 9];
options=[];
[x, fval, exitflag] = ga(@zfun,10,A,b,[],[],lb,ub,nonlinear,intcon,options)

function z = zfun(x)
h=x(1);
ds=x(2);
db=x(3);
n=x(4);
s=x(5);
Ss=x(6);
L=x(7);
d=x(8);
c=x(9);
dv=x(10);
z= 16000*h + 500*0.000007854*db^2 +500*0.007854*ds^2*(2*h/1000+8)/Ss;
end

function [c] = nonlinear(x)
h=x(1);
ds=x(2);
db=x(3);
n=x(4);
s=x(5);
Ss=x(6);
L=x(7);
d=x(8);
c=x(9);
dv=x(10);
c(1) = 3000*h + 187.5 - 267*n*d*db^2 + 0.5714*n^2*db^4; %Mr>Mf
c(2) = 21.909*h - 0.7854*db^2; %Asmin
c(3) = 16*h - 0.7854*db^2; %Asmin for Ag
c(4) = 0.0021397*n*db^2/d - 0.5; %a/d
c(5) = 1164*h + 72.75 - 762.653*ds^2*dv/Ss - 5126.68*dv; %Vs+Vc>Vfdv
c(6) = 5126.68*dv + 762.653*ds^2*x(11)/Ss - 39000*dv; %max Vr
c(7) = 6.573*Ss - 1.5708*ds^2; %min Av
c(8) = Ss - 0.239*ds^2; %max Ss
c(9) = (h-d)^0.66666/n^0.333333 - 4.96063; %crack control
c(10) = n*db + (n-1)*s + 2*ds - 7850; %bar spacing req
end

Thanks in advance.

EDIT: Learned I can't use intcon with equality constraints, updated my code but still have same error.

Answer 1

[Walter Roberson]

Your call to ga needs to use @nonlinear rather than nonlinear

[Monish Lad]

Thanks for the reply; my error changed to:

Error using ga (line 393)
Too many output arguments.

Error in project (line 12)
[x, fval, exitflag] = ga(@zfun,10,A,b,[],[],lb,ub,@nonlinear,intcon,options)

Caused by:
    Failure in initial user-supplied nonlinear constraint function evaluation.
 

Also, I made an edit to the name of the lines of nonlinear in-case it was colliding with the fact that I also have a variable named c

Thanks for any additional help in advance!

[Walter Roberson]

The nonlinear constraints function must return two outputs, one for the nonlinear inequalities, and one for the nonlinear equalities. If you do not have any nonlinear equality constraints, return [] for the second output.

[Monish Lad]

So I changed the line to

function [con, coneq] = nonlinear(h,ds,db,n,s,Ss,~,d,~,dv)

and added this into the function:

coneq=[];

Now however, my error becomes

Error using ga (line 393)
Not enough input arguments.

Error in project (line 12)
[x, fval, exitflag] = ga(@zfun,10,A,b,[],[],lb,ub,@nonlinear,intcon,options)

Caused by:
    Failure in initial user-supplied nonlinear constraint function evaluation.

I can see in the line of ga its reffering to that there are 2 more inputs, called 'output' and 'Iterate' but I'm not sure what they're supposed to be or if there needs to be something in there.

Thanks in advance for a reply!

[Walter Roberson]

http://www.mathworks.com/help/matlab/math/parameterizing-functions.html

Your non-linear constraints function needs a number of additional inputs.