Problem Statement

A list comprehension is a special syntax in some programming languages to describe lists. It is similar to the way mathematicians describe sets, with a set comprehension, hence the name. Some attributes of a list comprehension are:

Write a list comprehension that builds the list of all Pythagorean triples with elements between   1   and   n. If the language has multiple ways for expressing such a construct (for example, direct list comprehensions and generators), write one example for each.

Let's start with the solution:

(with v (for x in Range(10) 
        project (* x x))
   (textout v))


(with v (for x in Range(10) 
        where (mod x 2)
        project Vector([x,(* x x)]))
   (textout v))


(with v (for x in Range(1 n) project>
        (for y in Range(x n) do 
        (for z in Range(y n) 
            where (== (* z z) (+ (* y y) (* x x)))
            do (append @projRes Vector([x,y,z])))))
    (textout "Pythagorean triples:\n" v))
}