-- Komentarz

silnia 0 = 1
silnia n = n*silnia(n-1)

silnia n = product [1..n]

fib 0 = 0
fib 1 = 1
fib n = fib(n-1) + fib(n-2)

ack(0,y) = y+1
ack(x,0) = ack(x-1,1)
ack(x,y) = ack(x-1,ack(x,y-1))

-- przykład użycia strażników
sign x | x > 0 = 1
       | x == 0  =  0
       | x <  0  = -1

myproduct  = 1
myproduct (n:m) = n * myproduct m

mysum  = 0
mysum (n:m) = n + mysum m

-- wyrażenia TreeOfMath mają postać: (Sub (Mult (Leaf 5) (Leaf 4)) (Add (Leaf 3) (Leaf 2)))
data TreeOfMath =
    Mult TreeOfMath TreeOfMath |
    Div  TreeOfMath TreeOfMath |
    Add  TreeOfMath TreeOfMath |
    Sub  TreeOfMath TreeOfMath |
    Leaf Float

compute (Mult x y) = compute x * compute y
compute (Div x y) = compute x / compute y
compute (Add x y) = compute x + compute y
compute (Sub x y) = compute x - compute y
compute (Leaf x) = x

showme (Mult x y) = "(" ++ showme x ++ "*" ++ showme y ++ ")"
showme (Div x y) = "(" ++ showme x ++ "/" ++ showme y ++ ")"
showme (Add x y) = "(" ++ showme x ++ "+" ++ showme y ++ ")"
showme (Sub x y) = "(" ++ showme x ++ "-" ++ showme y ++ ")"
showme (Leaf x) = show x

qsort  = 
qsort (x:xs) = qsort less ++ x:(qsort more)
    where less = [ a | a <- xs, a <  x ]
          more = [ a | a <- xs, a >= x ]

-- lista liczb pierwszych
primes = map head $ iterate (\(x:xs) -> [ y | y<-xs, y `mod` x /= 0 ]) [2..]

-- lista liczb Fibonacciego
listFib = 1:1:(zipWith (+) listFib (tail listFib))