optimising for loop with vectorization?
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Hello, I have a code with 4 for loop, can you please help me to vectorise it. I tried to work with multi-dimensional array but I am not sure about it. Thank you.
dt = 0.1;
tmax = 61000;
tspan = 0:dt:tmax;
N = 96;
Q = zeros(N,tmax);
tao = 100;
gamma = 0.641;
JN = 0.2609;
a=270.0;
b=108.0;
cx=0.154;
SC=rand(N,N);
for omega = 10:-1:1
w = 0.03*(omega-1)+0.73;
for noise = 10:-1:1
n = 0.001*(noise-1)+0.001;
for I0 = 10:-1:1
ex = 0.01*(I0-1)+0.25;
for G = 10:-1:1
c = 0.1*(G-1)+0.1;
y=0.001*ones(N,1);
nn=1;
j=0;
for k=2:1:length(tspan)
x = ex + JN*(w*y + c*(SC*y));
xx=a*x-b;
r=xx./(1-exp(-cx*xx));
y = y+dt*(-y/tao+(1-y)*gamma.*r./1000.)+sqrt(dt*2)*n;
y(y>1) = 1;
y=y.*(y>=0);
j=j+1;
if j==10
Q(:,nn)=y;
nn=nn+1;
j=0;
end
end
QQ(:,:,omega,noise,I0,G)=Q;
end
end
end
end
and here is what i tried to do:
[y,omega,noise,I0,G]=ndgrid(0.001*ones(N,1),1:2,1:2,1:2,1:2);
w = 0.03*(omega-1)+0.73;
n = 0.001*(noise-1)+0.001;
ex = 0.01*(I0-1)+0.25;
c = 0.1*(G-1)+0.1;
nn=1;
j=0;
alpha=0.001*ones(N,1);
for k=2:1:length(tspan)
x = ex + JN*(w.*y + c.*(emp96(sub).SC*alpha));
xx=a*x-b;
r=xx./(1-exp(-cx*xx));
y = y+dt*(-y/tao+(1-y)*gamma.*r./1000.)+sqrt(dt*2)*n;
y(y>1) = 1;
y=y.*(y>=0);
j=j+1;
if j==10
Q(:,nn,1:2,1:2,1:2,1:2)=y(:,1:2,1:2,1:2,1:2);
nn=nn+1;
j=0;
end
end
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