Logical indexing in matlab - need help to make faster - arrays

Question

This is what I am trying to do, created a random array to demonstrate:
% all IDs
all_IDS = 1:216000000;
% Array 1
X = round(1550*rand(216000000,1));
Y = round(1550*rand(216000000,1));
Z = round(90*rand(216000000,1));
% Array 2
Xsub = round(1550*rand(160000,1));
Ysub = round(1550*rand(160000,1));
Zsub = round(90*rand(160000,1));
del_val =1;
% required o/p
reqd_op = zeros(1,10);
% boolean indexing
indx =1;
for jj = 1:160000
VID_X = Xsub(jj);
VID_Y = Ysub(jj);
VID_Z = Zsub(jj);
I2 = (X>VID_X-del_val & X<VID_X+del_val)& (Y>VID_Y-del_val & Y<VID_Y+del_val) & (Z>VID_Z-del_val & Z<VID_Z+del_val);
len = numel(all_IDS(I2));
reqd_op(1,indx:indx+len-1) = all_IDS(I2);
indx=indx+len;
end
The above code takes a lot of time as I am dealing with a very large array , Is there a way to eliminate the for loop, meaning, instead of doing Boolean indexing element by element - can I do it for the whole array at once ?

Answer 1

This will run x2.5 faster, anyway, array is too big so it still takes 0.3s per loop, so 160000 loops is like 13 hours on single cpu.
if ~exist('X','var')
% Array 1
X = round(1550*rand(216000000,1,'single'));
Y = round(1550*rand(216000000,1,'single'));
Z = round(90*rand(216000000,1,'single'));
% Array 2
Xsub = round(1550*rand(160000,1,'single'));
Ysub = round(1550*rand(160000,1,'single'));
Zsub = round(90*rand(160000,1,'single'));
end
del_val =single(1);
reqd_op = zeros(1,10,'single');% required o/p
tic
index =1;
for jj = 1:10
VID_X = Xsub(jj);
VID_Y = Ysub(jj);
VID_Z = Zsub(jj);
IdxFinal=[];
Idx1=find(abs(X-VID_X)<del_val); %little better than X>VID_X-del_val & X<VID_X+del_val)
if ~isempty(Idx1)
Idx2 = Idx1(Y(Idx1)>VID_Y-del_val & Y(Idx1)<VID_Y+del_val);
if ~isempty(Idx2)
Idx3= Idx2(Z(Idx2)>VID_Z-del_val & Z(Idx2)<VID_Z+del_val);
IdxFinal=Idx3;
end
end
len = length(IdxFinal);
index=index+len;
if len>0
reqd_op(1,index:index+len-1) = IdxFinal;
end
end
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