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juvix/examples/demo/Demo.juvix
Łukasz Czajka 60a191b786
Numeric, ordering and equality traits (#2433)
* Adapts to https://github.com/anoma/juvix-stdlib/pull/86
* Adds a pass in `toEvalTransformations` to automatically inline all
record projection functions, regardless of the optimization level. This
is necessary to ensure that arithmetic operations and comparisons on
`Nat` or `Int` are always represented directly with the corresponding
built-in Core functions. This is generally highly desirable and required
for the Geb target.
* Adds the `inline: always` pragma which indicates that a function
should always be inlined during the mandatory inlining phase, regardless
of optimization level.
2023-10-09 18:25:01 +02:00

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module Demo;
-- standard library prelude
import Stdlib.Prelude open;
even : Nat → Bool
| zero := true
| (suc zero) := false
| (suc (suc n)) := even n;
even' : Nat → Bool
| n := mod n 2 == 0;
-- base 2 logarithm rounded down
terminating
log2 : Nat → Nat
| n := if (n <= 1) 0 (suc (log2 (div n 2)));
type Tree (A : Type) :=
| leaf : A → Tree A
| node : A → Tree A → Tree A → Tree A;
mirror : {A : Type} → Tree A → Tree A
| t@(leaf _) := t
| (node x l r) := node x (mirror r) (mirror l);
tree : Tree Nat :=
node 2 (node 3 (leaf 0) (leaf 1)) (leaf 7);
preorder : {A : Type} → Tree A → List A
| (leaf x) := x :: nil
| (node x l r) := x :: nil ++ preorder l ++ preorder r;
terminating
sort {A} {{Ord A}} : List A → List A
| nil := nil
| xs@(_ :: nil) := xs
| xs :=
uncurry
merge
(both sort (splitAt (div (length xs) 2) xs));
printNatListLn : List Nat → IO
| nil := printStringLn "nil"
| (x :: xs) :=
printNat x >> printString " :: " >> printNatListLn xs;
main : IO :=
printStringLn "Hello!"
>> printNatListLn (preorder (mirror tree))
>> printNatListLn (sort (preorder (mirror tree)))
>> printNatLn (log2 3)
>> printNatLn (log2 130);