recip_2.hs

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owner Johannes Waldmann
uploaded 2017-08-17 03:45:00.0
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processor id 1
description this is the default benchmark type for rejected benchmarks and benchmarks that are not associated with a type.
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{-# htermination (recipFloat :: Float  ->  Float) #-} 
import qualified Prelude 
data MyBool = MyTrue | MyFalse 
data List a = Cons a (List a) | Nil 
data Float = Float MyInt MyInt ;

data MyInt = Pos Nat  | Neg Nat ;

data Nat = Succ Nat  | Zero ;

primIntToFloat :: MyInt  ->  Float;
primIntToFloat x = Float x (Pos (Succ Zero));

fromIntFloat :: MyInt  ->  Float
fromIntFloat = primIntToFloat;

primPlusNat :: Nat  ->  Nat  ->  Nat;
primPlusNat Zero Zero = Zero;
primPlusNat Zero (Succ y) = Succ y;
primPlusNat (Succ x) Zero = Succ x;
primPlusNat (Succ x) (Succ y) = Succ (Succ (primPlusNat x y));

primMulNat :: Nat  ->  Nat  ->  Nat;
primMulNat Zero Zero = Zero;
primMulNat Zero (Succ y) = Zero;
primMulNat (Succ x) Zero = Zero;
primMulNat (Succ x) (Succ y) = primPlusNat (primMulNat x (Succ y)) (Succ y);

primMulInt :: MyInt  ->  MyInt  ->  MyInt;
primMulInt (Pos x) (Pos y) = Pos (primMulNat x y);
primMulInt (Pos x) (Neg y) = Neg (primMulNat x y);
primMulInt (Neg x) (Pos y) = Neg (primMulNat x y);
primMulInt (Neg x) (Neg y) = Pos (primMulNat x y);

srMyInt :: MyInt  ->  MyInt  ->  MyInt
srMyInt = primMulInt;

primDivFloat :: Float  ->  Float  ->  Float;
primDivFloat (Float x1 x2) (Float y1 y2) = Float (srMyInt x1 y2) (srMyInt x2 y1);

fsFloat :: Float  ->  Float  ->  Float
fsFloat = primDivFloat;

recipFloat :: Float  ->  Float
recipFloat x = fsFloat (fromIntFloat (Pos (Succ Zero))) x;

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