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Add the primes program from compiler series

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Danila Fedorin 2020-02-10 18:13:04 -08:00
parent d86ff453bb
commit b9f508db6a
1 changed files with 129 additions and 0 deletions
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09/examples/primes.txt Normal file
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data List = { Nil, Cons Nat List }
data Bool = { True, False }
data Nat = { O, S Nat }
defn ifN c t e = {
case c of {
True -> { t }
False -> { e }
}
}
defn ifL c t e = {
case c of {
True -> { t }
False -> { e }
}
}
defn toInt n = {
case n of {
O -> { 0 }
S np -> { 1 + toInt np }
}
}
defn lte n m = {
case m of {
O -> {
case n of {
O -> { True }
S np -> { False }
}
}
S mp -> {
case n of {
O -> { True }
S np -> { lte np mp }
}
}
}
}
defn minus n m = {
case m of {
O -> { n }
S mp -> {
case n of {
O -> { O }
S np -> {
minus np mp
}
}
}
}
}
defn mod n m = {
ifN (lte m n) (mod (minus n m) m) n
}
defn notDivisibleBy n m = {
case (mod m n) of {
O -> { False }
S mp -> { True }
}
}
defn filter f l = {
case l of {
Nil -> { Nil }
Cons x xs -> { ifL (f x) (Cons x (filter f xs)) (filter f xs) }
}
}
defn map f l = {
case l of {
Nil -> { Nil }
Cons x xs -> { Cons (f x) (map f xs) }
}
}
defn nats = {
Cons (S (S O)) (map S nats)
}
defn primesRec l = {
case l of {
Nil -> { Nil }
Cons p xs -> { Cons p (primesRec (filter (notDivisibleBy p) xs)) }
}
}
defn primes = {
primesRec nats
}
defn take n l = {
case l of {
Nil -> { Nil }
Cons x xs -> {
case n of {
O -> { Nil }
S np -> { Cons x (take np xs) }
}
}
}
}
defn head l = {
case l of {
Nil -> { O }
Cons x xs -> { x }
}
}
defn reverseAcc a l = {
case l of {
Nil -> { a }
Cons x xs -> { reverseAcc (Cons x a) xs }
}
}
defn reverse l = {
reverseAcc Nil l
}
defn main = {
toInt (head (reverse (take ((S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S O))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) primes)))
}