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forked from GitHub/gf-core

Move transfer into the GF repo.

This commit is contained in:
bringert
2005-11-25 16:36:19 +00:00
parent 66c1c31960
commit 2a59fffd45
42 changed files with 7400 additions and 0 deletions

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import nat ;
data Array : Type -> Nat -> Type where {
Empty : (A:Type) -> Array A Zero ;
Cell : (A:Type) -> (n:Nat) -> A -> Array A n -> Array A (Succ n) ;
} ;
mapA : (A:Type) -> (B:Type) -> (n:Nat) -> (A -> B) -> Array A n -> Array B n ;
mapA A B _ f (Empty _) = Empty B ;
mapA A B (Succ n) f (Cell _ _ x xs) = Cell B n (f x) (mapA A B n f xs) ;

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data Bool : Type where { True : Bool; False : Bool; } ;
depif : (A:Type) -> (B:Type) -> (b:Bool) -> A -> B -> if Type b then A else B ;
depif _ _ True x _ = x ;
depif _ _ False _ y = y ;
not : Bool -> Bool ;
not b = if b then False else True ;

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transfer/examples/exp.tr Normal file
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data Stm : Type where {} ;
data Exp : Type where {} ;
data Var : Type where {} ;
data Typ : Type where {} ;
data ListStm : Type where {} ;
data Tree : Type -> Type where {
SDecl : Tree Typ -> Tree Var -> Tree Stm ;
SAss : Tree Var -> Tree Exp -> Tree Stm ;
SBlock : Tree ListStm -> Tree Stm ;
EAdd : Tree Exp -> Tree Exp -> Tree Exp ;
EStm : Tree Stm -> Tree Exp ;
EVar : Tree Var -> Tree Exp ;
EInt : Integer -> Tree Exp ;
V : String -> Tree Var ;
TInt : Tree Typ ;
TFloat : Tree Typ ;
NilStm : Tree ListStm ;
ConsStm : Tree Stm -> Tree ListStm -> Tree ListStm ;
} ;
derive composOp Tree ;
rename : (String -> String) -> (C : Type) -> Tree C -> Tree C;
rename f C t = case t of {
V x -> V (f x) ;
_ -> composOp_Tree C (rename f) t;
} ;

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transfer/examples/fib.tr Normal file
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import nat ;
fib : Int -> Int ;
fib 0 = 1 ;
fib 1 = 1 ;
fib n = fib (n-1) + fib (n-2) ;
fibNat : Nat -> Nat ;
fibNat Zero = Succ Zero ;
fibNat (Succ Zero) = Succ Zero ;
fibNat (Succ (Succ n)) = plus (fibNat (Succ n)) (fibNat n) ;

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x : Apa
x = let x : T = y
in case y of
f -> q
_ -> a

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transfer/examples/list.tr Normal file
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import nat ;
data List : (_:Type) -> Type where
{ Nil : (A:Type) -> List A ;
Cons : (A:Type) -> A -> List A -> List A ; } ;
size : (A:Type) -> List A -> Nat ;
size _ (Nil _) = Zero ;
size A (Cons _ x xs) = Succ (size A xs) ;
map : (A:Type) -> (B:Type) -> (A -> B) -> List A -> List B ;
map _ B _ (Nil _) = Nil B ;
map A B f (Cons _ x xs) = Cons B (f x) (map A B f xs) ;
append : (A:Type) -> (xs:List A) -> List A -> List A ;
append _ (Nil _) ys = ys ;
append A (Cons _ x xs) ys = Cons A x (append A xs ys) ;

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transfer/examples/nat.tr Normal file
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data Nat : Type where {
Zero : Nat ;
Succ : (n:Nat) -> Nat ;
} ;
plus : Nat -> Nat -> Nat ;
plus Zero y = y ;
plus (Succ x) y = Succ (plus x y) ;
pred : Nat -> Nat ;
pred Zero = Zero ;
pred (Succ n) = n ;
natToInt : Nat -> Int ;
natToInt Zero = 0 ;
natToInt (Succ n) = 1 + natToInt n ;
plus : Nat -> Nat -> Nat ;
plus Zero y = y ;
plus (Succ x) y = Succ (plus x y) ;
intToNat : Int -> Nat ;
intToNat n = if n == 0 then Zero else Succ (intToNat (n-1)) ;

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transfer/examples/pair.tr Normal file
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Pair : Type -> Type -> Type ;
Pair A B = { p1 : A; p2 : B } ;
pair : (A:Type) -> (B:Type) -> A -> B -> Pair A B ;
pair _ _ x y = { p1 = x; p2 = y } ;
fst : (A:Type) -> (B:Type) -> Pair A B -> A ;
fst _ _ p = case p of { (Pair _ _ x _) -> x } ;
snd : (A:Type) -> (B:Type) -> Pair A B -> B ;
snd _ _ p = case p of { (Pair _ _ x _) -> x } ;

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const : (A:Type) -> (B:Type) -> A -> B -> A ;
const _ _ x _ = x ;
id : (A:Type) -> A -> A ;
id A x = x ;

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transfer/examples/prim.tr Normal file
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--
-- Primitives
--
String : Type ;
Int : Type ;
prim_add_Int : (_:Int) -> (_:Int) -> Int ;
prim_sub_Int : (_:Int) -> (_:Int) -> Int ;
prim_mul_Int : (_:Int) -> (_:Int) -> Int ;
prim_div_Int : (_:Int) -> (_:Int) -> Int ;
prim_mod_Int : (_:Int) -> (_:Int) -> Int ;
prim_neg_Int : (_:Int) -> Int ;
prim_lt_Int : (_:Int) -> (_:Int) -> Bool ;
prim_le_Int : (_:Int) -> (_:Int) -> Bool ;
prim_gt_Int : (_:Int) -> (_:Int) -> Bool ;
prim_ge_Int : (_:Int) -> (_:Int) -> Bool ;
prim_eq_Int : (_:Int) -> (_:Int) -> Bool ;
prim_ne_Int : (_:Int) -> (_:Int) -> Bool ;

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import nat ;
main = natToInt (intToNat 100) ;