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Creation of a loop code

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Adam Francki
Adam Francki on 1 Feb 2020
Answered: Jakob B. Nielsen on 3 Feb 2020
Hi, I’ve finished creating a function that outputs a specific impulse for a given mass ratio of 3 mixtures of a propellant. For example the function is:
[x_1,x_2,x_3,isp]=MixRatio(x_1,x_2,x_3)
Where the inputs are: x_1=% of mixture 1 x_2=% of mixture 2 x_3=% of mixture 3
Outputs: x values as per inputs isp=calculated specific impulse based on the input mixture ratios.
Ideally I would like to output a column array in the form as per the function output ([x_1,x_2,x_3,isp]). But I want to run it through a loop function where I can calculate an isp for every ratio of the 3 mixtures (1-100%). So when x1=5, sum of x2 and 3 must equal 90, and so on for all the combinations of mixtures in 1% increments.
The idea is to find all the combinations of the % ratios of mixtures that yield the same isp and then creat a ternary contour plot. Any help would be great as I’m struggling on this!

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Jakob B. Nielsen
Jakob B. Nielsen on 3 Feb 2020
This partition function might help. Call plist=partitions(100,1:100,[],3); and you will get a 833x100 matrix where the sum of the index of every row times its value is 100. Should be a 'simple' job to convert that to x1, x2 and x3 values ;) (if you are stuck I like to "manually" do 1, 2 or even 3 repetitions and then identify what it is you do - and convert that to loop language).
The "challenge" is that there are 833 combination possibilities, and the function does not repeat combinations (so if 33%, 33% and 34% has occured, then 34%, 33% and 33% will not occur), so you will have to write some logic, probably... but I think this is a great place to start in regards to the possible combinations conundrum!

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