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  1. --Qn 1
  2. --Denotation compiler function - primitive recursive
  3. --Takes a Poly as per the data type Poly
  4. --Takes an int for the parameter of the return-function
  5. --In first case - base case - returns directly the input value
  6. --In consecutive cases - returns the denotation recursively
  7. data Poly = PConst Int |
  8.             PVar |
  9.             PAdd Poly Poly |
  10.             PMul Poly Poly
  11.  
  12. compilePoly :: Poly -> (Int -> Int)
  13. compilePoly (PConst x) = (\_ -> x)
  14. compilePoly (PVar) = id
  15. compilePoly (PAdd p1 p2) = (\x -> (compilePoly p1 x) + (compilePoly p2 x))
  16. compilePoly (PMul p1 p2) = (\x -> (compilePoly p1 x) * (compilePoly p2 x))
  17.  
  18.  
  19. --Qn 4a
  20. --Generates an infinite list of pythagorean triples
  21. pythagoreanTriples::[(Integer, Integer, Integer)]
  22. pythagoreanTriples   = [(a, b, c) | c <- [2..], 
  23. 									a <- [2..c-1], 
  24. 									b <- [a+1..c-1], 
  25. 										a*a + b*b == c*c ]
  26.  
  27. --Qn 4b
  28. --takes an integer
  29. --returns all of its devision factors in a list
  30. factors::Int->[Int]
  31. factors n = [x | x <- [1..n], (n `mod` x) == 0]
  32.  
  33. --helper function that eliminates generation of
  34. --duplicate hamming numbers in the infinite list
  35. order::Ord a=> [a]->[a]->[a]
  36. order xs []			=xs
  37. order [] ys 		=ys
  38. order (x:xs) (y:ys)
  39. 	| x < y			=x:order (xs) (y:ys)
  40. 	| y < x			=y:order (x:xs) (ys)
  41. 	| otherwise		=x:order (xs) (ys)
  42.  
  43. --generates an infinite list of all the hamming numbers
  44. hamming::[Integer]
  45. hamming = 1:order (map (2*) hamming) (order (map (3*) hamming) (map (5*) hamming))
  46.  
  47. main = do
  48. print $ compilePoly (PConst 395) 1
  49. print $ elem (30, 72, 78) (pythagoreanTriples)
  50. print $ factors 24
  51. print $ hamming
Runtime error #stdin #stdout 0.02s 7308KB
comments (?)
stdin 
Standard input is empty
stdout 
395
True
[1,2,3,4,6,8,12,24]
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https://ideone.com/IqtOLl
language:
Haskell (ghc 8.4.4)
created:
10 years ago
visibility:
public

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