# How to skip NaN arrays outputs of a for loop?

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Athira T Das on 18 Jul 2022
Answered: Jan on 18 Jul 2022
clc; clear all; close all;
syms m1 m2 s1 s2 j1 j2
lambda = 1060*10^-9;
M=1
z=linspace(0.00001,8000);
wo = 0.02;
C = 10^(-7);
k=2*pi/lambda;
po=(0.545*C^2*k^2*z).^(-(3/5));
b=0.1;
T1=0;
T2=0;
T3=0;
T4=0;
T5=0;
T6=0;
delta= ((1i*k)./(2*z))+(1./(wo.^2))+(1./(po.^2));
delta_star= subs(delta, 1i, -1i);
etta = delta_star - (1./(delta.*po.^4));
X=((k./(2.*z)).^2).*((1./(2.*1i.*sqrt(delta))).^M).*(1./(16.*delta.*etta));
alpha = (1i.*k./(2.*z)).*(1./(delta.*po.^2)-1);
beta_p = (b./(2.*wo)).*(1./(delta.*po.^2)+1);
beta_n = (b./(2.*wo)).*(1./(delta.*po.^2)-1);
A = (alpha.^2./etta)-((k.^2)-(4.*z.^2.*delta));
B1_p = ((1i.*k.*b)./(2.*z.*wo.*delta))+((2.*alpha.*beta_p)./etta);
B1_n = ((1i.*k.*b)./(2.*z.*wo.*delta))+((2.*alpha.*beta_n)./etta);
B2_p = -(((1i.*k.*b)./(2.*z.*wo.*delta))+((2.*alpha.*beta_p)./etta));
B2_n = -(((1i.*k.*b)./(2.*z.*wo.*delta))+((2.*alpha.*beta_n)./etta));
C1_p = ((b.^2)./(4.*wo.^2.*delta))+(((beta_p).^2)./etta);
C1_n = ((b.^2)./(4.*wo.^2.*delta))+(((beta_n).^2)./etta);
C2_p = ((b.^2)./(4.*wo.^2.*delta))+(((beta_n).^2)./etta);
C2_n = ((b.^2)./(4.*wo.^2.*delta))+(((beta_p).^2)./etta);
m1 = 0:M;
m2=0:M;
s1 = m1./2;
s2=(M-m1)./2;
%%%% j1=m1-2.*s1 %%%%
allVecs_1 = {-2*s1,m1};
sub = cell(1,numel(allVecs_1));
[sub{:}] = ndgrid(allVecs_1{:});
sub = cellfun(@(x)x(:),sub,'UniformOutput', false);
j= cell2mat(sub);
j11 = [ sum(j(:,[1 2]),2) ];
j1=j11(j11>=0);
%%%% j2=(M-m1-(2.*s2)) %%%%
allVecs_1 = {-1*m1,-2*s2};
sub = cell(1,numel(allVecs_1));
[sub{:}] = ndgrid(allVecs_1{:});
sub = cellfun(@(x)x(:),sub,'UniformOutput', false);
j21= cell2mat(sub);
j2212 =M + [ sum(j21(:,[1 2]),2) ];
j2=j2212(j2212>=0);
%%%%%%%%%%%%%%%%%%%%%%%%%%%
[rm1,cm1] = size(m1);
[rm2,cm2] = size(m2);
[rs1,cs1] = size(s1);
[rs2,cs2] = size(s2);
[rj1,cj1] = size(j1);
[rj2,cj2] = size(j2);
for Nm1 = 1:cm1
for Mm1 = 1:rm1
M1= m1(Mm1,Nm1);
T2=0;
for Nm2 = 1:cm2
for Mm2 = 1:rm2
M2= m2(Mm2,Nm2);
T3=0;
for Ns1 = 1:cs1
for Ms1 = 1:rs1
S1= s1(Ms1,Ns1);
T4=0;
for Nj1 = 1:cj1
for Mj1 = 1:rj1
J1= j1(Mj1,Nj1);
T5=0;
for Ns2 = 1:cs1
for Ms2 = 1:rs2
S2= s2(Ms2,Ns2);
T6=0;
for Nj2 = 1:cj2
for Mj2 = 1:rj2
J2= j2(Mj2,Nj2);
e3=(exp(C1_p).*hermiteH(M-M2+J2,((1i.*beta_p)./sqrt(etta))))+(exp(C2_n).*hermiteH(M-M2+J2,((-1i.*beta_n)./sqrt(etta))));
e4=(exp(C1_n).*hermiteH(M-M2+J2,((1i.*beta_n)./sqrt(etta))))+(exp(C2_p).*hermiteH(M-M2+J2,((-1i.*beta_p)./sqrt(etta))));
T6=T6+(gamma(1+M-M1-(2.*S2))/(gamma(J2+1)*gamma(M-M1-(2.*S2)-J2+1))).*((1./(2.*1i.*sqrt(etta))).^(M-M2+J2)).*((1./(po.^2)).^J2).*((b./2.*wo).^(M-M1-2*S2-J2)).*(e4+e3);
end
end
e1=(exp(C1_n).*hermiteH(M2+J1,((1i.*beta_n)./sqrt(etta))))+(exp(C2_p).*hermiteH(M2+J1,((-1i.*beta_p)./sqrt(etta))));
e2=(exp(C1_p).*hermiteH(M2+J1,((1i.*beta_p)./sqrt(etta))))+(exp(C2_n).*hermiteH(M2+J1,((-1i.*beta_n)./sqrt(etta))));
T5=T5+T6.*(((gamma(M-M1+1).*(-1).^S2)./(gamma(S2+1).*gamma(M-M1-2.*S2+1)))).*(((2.*1i)./(delta.^(0.5))).^(M-M1-2.*S2)).*(e1+e2);
T5 = rmmissing(vpa(T5))
end
end
T4=T4+T5.*((gamma(M1-(2.*S2)+1))/(gamma(J1+1)*gamma(1+M1-(2.*S2)-J1))).*((1./(2.*1i.*sqrt(etta))).^(M2+J2)).*((1./(po.^2)).^J1).*((b./2.*wo).^(M1-2.*S1-J1));
T4 = rmmissing(vpa(T4))
end
end
end
T3=T3+T4.*(((gamma(M1+1).*(-1).^S1)./(gamma(S1+1).*gamma(1+M1-2.*S1))).*(((2.*1i)./(delta.^(0.5))).^(M1-2.*S1)));
T3 = rmmissing(vpa(T3))
end
T2=T2+T3*nchoosek(M,M2)*((-1i)^(M-M2));
T2 = rmmissing(vpa(T2))
end
T1=T1+T2*nchoosek(M,M1)*((1i)^(M-M1));
T1 = rmmissing(vpa(T1))
end
end
end
I0 = abs(real(X.*T1))
##### 2 CommentsShowHide 1 older comment
Athira T Das on 18 Jul 2022
In the code at certain points of for loop the value of T6 becomes an array of NaN. When it becomes NaN my final value I0 also becomes NaN. I want to skip or break those loops which makes T6 NaN.

Jan on 18 Jul 2022
doBreak = false;
for Nj2 = 1:cj2
for Mj2 = 1:rj2
J2= j2(Mj2,Nj2);
e3=(exp(C1_p).*hermiteH(M-M2+J2,((1i.*beta_p)./sqrt(etta))))+(exp(C2_n).*hermiteH(M-M2+J2,((-1i.*beta_n)./sqrt(etta))));
e4=(exp(C1_n).*hermiteH(M-M2+J2,((1i.*beta_n)./sqrt(etta))))+(exp(C2_p).*hermiteH(M-M2+J2,((-1i.*beta_p)./sqrt(etta))));
tmp = (gamma(1+M-M1-(2.*S2))/(gamma(J2+1)*gamma(M-M1-(2.*S2)-J2+1))).*((1./(2.*1i.*sqrt(etta))).^(M-M2+J2)).*((1./(po.^2)).^J2).*((b./2.*wo).^(M-M1-2*S2-J2)).*(e4+e3);
if isnan(tmp)
doBreak = true;
break;
end
T6 = T6 + tmp;
end
if doBreak % The loop over Nj2 also?
break;
end
end

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