Keep pairs of corresponding elements in 2 vectors based on conditions

I have the problem here: Using this image below: I want to check for several conditions

the orange and green marks are annotations on a signal. If we consider vectors orange, and green which contain the points needed to make the annotations.

The point is to have perfect pairs and ignore all others. i.e. orange(i) and green(i) is a pair if orange(i)<green(i)

so all values in vector orange are lower than their corresponding elements in vector green.

I want to check the following conditions.

I started but some conditions dont work, thats why i need help.

Condition 1: orange must always begin, so if a green begins I delete that green point. [done]

condition 2: if 2 or more greens come before an orange, delete all unecessary green to keep a pair.

condition 3: similarly if several orange exist delete them to keep a pair.

so in the end I want to have a perfect system of pairs, where orange starts a pair. like this:

orange=[212929;213223;213482;213740;214013;214790];
green= [212765;213301;213822;214090;214240;214426;214941];

if green(1)<orange(1)
    green=green(2:end);
end
 lenss =min(length(orange),length(green));
 
 
i = 1;
while i <= lenss
    if abs(green(i)-orange(i)) <0
         green(i) = [];  
         i=1;
        continue;
    else
        i=1+1;  
        continue;
    end
end 

[Jan]

abs(green(i)-orange(i)) <0

The output of abs() is >= 0 for all inputs.

The two continue statements have no effect.

Answer 1

[Jan]

orange = [212929;213223;213482;213740;214013;214790];
green  = [212765;213301;213822;214090;214240;214426;214941];

[x, s]    = sort([orange.', green.']);
index     = strfind(s <= numel(orange), [true, false]);
ok_orange = x(index)

ok_orange = 1×4

213223 213740 214013 214790

ok_green  = x(index + 1)

ok_green = 1×4

213301 213822 214090 214941

The idea: sort all elements. If their sorting index is greater than the number of orange elements, they are green. So s <= numel(orange) is a logical vector, which is TRUE for orange and FALSE for green. Now find the neighboring [true, false] pairs.

Kind regards to @Bruno Luong, who told me this method over 20 years ago. :-)

[fadams18]

This is incredible. works like charm. thanks a lot dude!

[fadams18]

I pretty sure, one day i will @ you too for teaching me this. cheers!

[Dyuman Joshi]

@Jan, How long have you been a MATLAB user?

[Jan]

@Dyuman Joshi: Since 1999. I used some other languages in the 15 years before.

[Dyuman Joshi]

Wow, just shy of my time on this planet!

What prompted you to try out MATLAB at that time and to stick with it for so long and continue using it? (If you don't mind me asking)

(I feel like this would be an interesting conversation to have with the MATLAB Answers community!)