sum 100 from given values and limits
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Cristiano df
on 10 Oct 2013
Commented: Cristiano df
on 11 Oct 2013
Hi all, I'd like to find values that sum 100 between these 4 values and their limits:
low high
31.5 33.4
15.3 16.8
47.2 49.1
3.0 3.7
For example a solution could be:
32.0
15.3
49.0
3.7
-------
100
Please help me ;)
Cristiano.
1 Comment
Matt Kindig
on 10 Oct 2013
Edited: Matt Kindig
on 10 Oct 2013
There are an infinite number of solutions to this problem. Do you just need one that works (i.e., a feasible solution)?
Accepted Answer
Roger Stafford
on 10 Oct 2013
I propose the following unique "canonical" solution. Let 'low' and 'high' be vectors of your lower and upper range limits respectively and let s be the desired sum.
t = (s-sum(low))/(sum(high)-sum(low));
if t<0|t>1
error('No solution is possible')
else
v = low+t*(high-low);
end
If a solution is possible, elements of the vector 'v' will lie in the proper range and sum to the value s (except for very small round-off errors, of course.)
More Answers (1)
Image Analyst
on 10 Oct 2013
Do you have an array that you're checking to see if its elements are in any one of those 4 ranges? Probably none of them will sum exactly to 100. See the FAQ: http://matlab.wikia.com/wiki/FAQ#Why_is_0.3_-_0.2_-_0.1_.28or_similar.29_not_equal_to_zero.3F YOu can either go greater than 100 or within some tolerance of 100 like the FAQ shows.
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