6.6: Putting It Together

Now instead of displaying all of the triples, we’ll add an if statement and display only Pythagorean triples:

for a=1:3
    for b=1:4
        for c=1:a+b
            if is_pythagorean(a, b, c)
                disp([a,b,c])
            end
        end
    end
end

The result is just one triple:

>> find_triples
     3     4     5

You might notice that we’re wasting some effort here. After checking the case when a is 1 and b is 2, there’s no point in checking the case when a is 2 and b is 1. We can save the extra work by adjusting the range of b:

for b=a:4

We can save even more work by adjusting the range of c:

for c=b:a+b

Here’s the final version:

for a=1:3
    for b=a:4
        for c=b:a+b
            if is_pythagorean(a, b, c)
                disp([a,b,c])
            end
        end
    end
end

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