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|
{-# OPTIONS -cpp #-}
-- !!! Testing IEEE Float and Double extremity predicates.
module Main(main) where
import Data.Char
import Control.Monad.ST
import Data.Word
import Data.Array.ST
#include "ghcconfig.h"
reverse_if_bigendian :: [a] -> [a]
#ifdef WORDS_BIGENDIAN
reverse_if_bigendian = reverse
#else
reverse_if_bigendian = id
#endif
main :: IO ()
main = do
sequence_ (map putStrLn double_tests)
sequence_ (map putStrLn float_tests)
where
double_tests = run_tests double_numbers
float_tests = run_tests float_numbers
run_tests nums =
map ($ nums)
[ denorm
, pos_inf
, neg_inf
, nan
, neg_zero
, pos_zero
]
-------------
double_numbers :: [Double]
double_numbers =
[ 0
, encodeFloat 0 0 -- 0 using encodeFloat method
, mkDouble (reverse_if_bigendian [0,0,0,0,0,0, 0xf0, 0x7f]) -- +inf
, encodeFloat 1 2047 -- +Inf
, encodeFloat 1 2048
, encodeFloat 1 2047 -- signalling NaN
, encodeFloat 0xf000000000000 2047 -- quiet NaN
, 0/(0::Double)
-- misc
, 1.82173691287639817263897126389712638972163e-300
, 1.82173691287639817263897126389712638972163e+300
, 4.9406564558412465e-324 -- smallest possible denorm number
-- (as reported by enquire running
-- on a i686-pc-linux.)
, 2.2250738585072014e-308
, 0.11
, 0.100
, -3.4
-- smallest
, let (l, _) = floatRange x
x = encodeFloat 1 (l-1)
in x
-- largest
, let (_, u) = floatRange x
d = floatDigits x
x = encodeFloat (floatRadix x ^ d - 1) (u - d)
in x
]
float_numbers :: [Float]
float_numbers =
[ 0
, encodeFloat 0 0 -- 0 using encodeFloat method
, encodeFloat 1 255 -- +Inf
, encodeFloat 1 256
, encodeFloat 11 255 -- signalling NaN
, encodeFloat 0xf00000 255 -- quiet NaN
, 0/(0::Float)
-- misc
, 1.82173691287639817263897126389712638972163e-300
, 1.82173691287639817263897126389712638972163e+300
, 1.40129846e-45
, 1.17549435e-38
, 2.98023259e-08
, 0.11
, 0.100
, -3.4
-- smallest
, let (l, _) = floatRange x
x = encodeFloat 1 (l-1)
in x
-- largest
, let (_, u) = floatRange x
d = floatDigits x
x = encodeFloat (floatRadix x ^ d - 1) (u - d)
in x
]
-------------
denorm :: RealFloat a => [a] -> String
denorm numbers =
unlines
( ""
: "*********************************"
: ("Denormalised numbers: " ++ doubleOrFloat numbers)
: ""
: map showPerform numbers)
where
showPerform = showAndPerform (isDenormalized) "isDenormalised"
pos_inf :: RealFloat a => [a] -> String
pos_inf numbers =
unlines
( ""
: "*********************************"
: ("Positive Infinity: " ++ doubleOrFloat numbers)
: ""
: map showPerform numbers)
where
showPerform = showAndPerform (isInfinite) "isInfinite"
neg_inf :: RealFloat a => [a] -> String
neg_inf numbers =
unlines
( ""
: "*********************************"
: ("Negative Infinity: " ++ doubleOrFloat numbers)
: ""
: map showPerform numbers)
where
showPerform = showAndPerform (\ x -> isInfinite x && x < 0) "isNegInfinite"
nan :: RealFloat a => [a] -> String
nan numbers =
unlines
( ""
: "*********************************"
: ("NaN: " ++ doubleOrFloat numbers)
: ""
: map showPerform numbers)
where
showPerform = showAndPerform (isNaN) "isNaN"
pos_zero :: RealFloat a => [a] -> String
pos_zero numbers =
unlines
( ""
: "*********************************"
: ("Positive zero: " ++ doubleOrFloat numbers)
: ""
: map showPerform numbers)
where
showPerform = showAndPerform (==0) "isPosZero"
neg_zero :: RealFloat a => [a] -> String
neg_zero numbers =
unlines
( ""
: "*********************************"
: ("Negative zero: " ++ doubleOrFloat numbers)
: ""
: map showPerform numbers)
where
showPerform = showAndPerform (isNegativeZero) "isNegativeZero"
-- what a hack.
doubleOrFloat :: RealFloat a => [a] -> String
doubleOrFloat ls
| (floatDigits atType) == (floatDigits (0::Double)) = "Double"
| (floatDigits atType) == (floatDigits (0::Float)) = "Float"
| otherwise = "unknown RealFloat type"
where
atType = undefined `asTypeOf` (head ls)
-- make a double from a list of 8 bytes
-- (caller deals with byte ordering.)
mkDouble :: [Word8] -> Double
mkDouble ls =
runST (( do
arr <- newArray_ (0,7)
sequence (zipWith (writeArray arr) [(0::Int)..] (take 8 ls))
arr' <- castSTUArray arr
readArray arr' 0
) :: ST s Double )
showAndPerform :: (Show a, Show b)
=> (a -> b)
-> String
-> a
-> String
showAndPerform fun name_fun val =
name_fun ++ ' ':show val ++ " = " ++ show (fun val)
|
