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150 lines
3.8 KiB
Idris
150 lines
3.8 KiB
Idris
module TestIntegers
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import Data.Bits
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import Data.List.Quantifiers
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put : Show a => a -> IO ()
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put = putStrLn . show
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castAllTo : (to : Type)
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-> {0 types : List Type}
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-> All (flip Cast to) types => HList types -> List to
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castAllTo to = forget . imapProperty (flip Cast to) (cast {to})
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interface Num a => Bits a => SomeBits a where
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one : Index {a}
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SomeBits Bits8 where
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one = fromNat 1
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SomeBits Bits16 where
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one = fromNat 1
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SomeBits Bits32 where
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one = fromNat 1
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SomeBits Bits64 where
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one = fromNat 1
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SomeBits Int8 where
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one = fromNat 1
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SomeBits Int16 where
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one = fromNat 1
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SomeBits Int32 where
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one = fromNat 1
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SomeBits Int64 where
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one = fromNat 1
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SomeBits Int where
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one = fromNat 1
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SomeBits Integer where
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one = 1
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interface Num a => Ord a => NumOrd a where
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Num a => Ord a => NumOrd a where
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main : IO ()
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main = do
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let ints = the (HList _) [
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the Bits8 0, -- Bits8 min
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the Bits8 50,
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the Bits8 255, -- Bits8 max
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the Bits16 0, -- Bits16 min
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the Bits16 10000,
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the Bits16 65535, -- Bits16 max
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the Bits32 0, -- Bits32 min
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the Bits32 1000000000,
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the Bits32 4294967295, -- Bits32 max
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the Bits64 0, -- Bits64 min
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the Bits64 5000000000000000000,
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the Bits64 18446744073709551615, -- Bits64 max
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the Int8 $ -128, -- Int8 min
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the Int8 50,
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the Int8 127, -- Int8 max
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the Int16 $ -32768, -- Int16 min
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the Int16 10000,
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the Int16 32767, -- Int16 max
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the Int32 $ -2147483648, -- Int32 min
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the Int32 500000000,
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the Int32 2147483647, -- Int32 max
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the Int64 $ -9223372036854775808, -- Int64 min
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the Int64 1000000000000000000,
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the Int64 9223372036854775807, -- Int64 max
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the Int $ -9223372036854775808, -- Int min
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the Int 1000000000000000000,
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the Int 9223372036854775807, -- Int max
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the Integer $ -9223372036854775809, -- Int min - 1
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the Integer 0,
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the Integer 9223372036854775808 -- Int max + 1
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]
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putStrLn "Cast to String:"
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put ints
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putStrLn "Cast to Bits8:"
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put $ castAllTo Bits8 ints
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putStrLn "Cast to Bits16:"
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put $ castAllTo Bits16 ints
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putStrLn "Cast to Bits32:"
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put $ castAllTo Bits32 ints
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putStrLn "Cast to Bits64:"
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put $ castAllTo Bits64 ints
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putStrLn "Cast to Int:"
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put $ castAllTo Int ints
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putStrLn "Cast to Integer:"
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put $ castAllTo Integer ints
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putStrLn "Add:"
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put $ imapProperty Num (+ 1) ints
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putStrLn "Subtract:"
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put $ imapProperty Neg (flip (-) 1) ints
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putStrLn "Negate:"
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put $ imapProperty Neg negate ints
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putStrLn "Multiply:"
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put $ imapProperty Num (* 2) ints
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putStrLn "Divide:"
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put $ imapProperty Integral (`div` 3) ints
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put $ imapProperty Integral (`div` -3) ints
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putStrLn "Mod:"
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put $ imapProperty Integral (`mod` 17) ints
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put $ imapProperty Integral (`mod` -17) ints
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putStrLn "Division Euclidean:"
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put $ imapProperty Integral (\x => (x `div` 19) * 19 + (x `mod` 19)) ints
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put $ imapProperty Integral (\x => (x `div` -19) * -19 + (x `mod` -19)) ints
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putStrLn "Shift:"
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put $ imapProperty SomeBits (`shiftL` one) ints
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put $ imapProperty SomeBits (`shiftR` one) ints
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putStrLn "Bit Ops:"
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put $ imapProperty SomeBits (.&. 0xAA) ints
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put $ imapProperty SomeBits (.|. 0xAA) ints
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put $ imapProperty SomeBits (`xor` 0xAA) ints
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putStrLn "Comparisons:"
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put $ imapProperty NumOrd (< 0) ints
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put $ imapProperty NumOrd (< 1) ints
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put $ imapProperty NumOrd (> 0) ints
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put $ imapProperty NumOrd (> 1) ints
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put $ imapProperty NumOrd (== 0) ints
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put $ imapProperty NumOrd (<= 0) ints
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put $ imapProperty NumOrd (<= 1) ints
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put $ imapProperty NumOrd (>= 0) ints
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put $ imapProperty NumOrd (>= 1) ints
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