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{-# LANGUAGE BlockArguments #-}
{-# LANGUAGE LexicalNegation #-}
{-# LANGUAGE MagicHash #-}
{-# LANGUAGE TypeApplications #-}
module Main where
import Control.Monad
( unless )
import Data.IORef
( newIORef, readIORef, writeIORef )
import GHC.Exts
( Float(..), Float#, Double(..), Double#
, fmaddFloat# , fmsubFloat# , fnmaddFloat# , fnmsubFloat#
, fmaddDouble#, fmsubDouble#, fnmaddDouble#, fnmsubDouble#
)
import GHC.Float
( castFloatToWord32, castDoubleToWord64 )
import System.Exit
( exitFailure, exitSuccess )
--------------------------------------------------------------------------------
-- Want "on-the-nose" equality to make sure we properly distinguish 0.0 and -0.0.
class StrictEq a where
strictlyEqual :: a -> a -> Bool
instance StrictEq Float where
strictlyEqual x y = castFloatToWord32 x == castFloatToWord32 y
instance StrictEq Double where
strictlyEqual x y = castDoubleToWord64 x == castDoubleToWord64 y
class FMA a where
fmadd, fmsub, fnmadd, fnmsub :: a -> a -> a -> a
instance FMA Float where
fmadd (F# x) (F# y) (F# z) = F# ( fmaddFloat# x y z)
fmsub (F# x) (F# y) (F# z) = F# ( fmsubFloat# x y z)
fnmadd (F# x) (F# y) (F# z) = F# (fnmaddFloat# x y z)
fnmsub (F# x) (F# y) (F# z) = F# (fnmsubFloat# x y z)
{-# INLINE fmadd #-}
{-# INLINE fnmadd #-}
{-# INLINE fmsub #-}
{-# INLINE fnmsub #-}
instance FMA Double where
fmadd (D# x) (D# y) (D# z) = D# ( fmaddDouble# x y z)
fmsub (D# x) (D# y) (D# z) = D# ( fmsubDouble# x y z)
fnmadd (D# x) (D# y) (D# z) = D# (fnmaddDouble# x y z)
fnmsub (D# x) (D# y) (D# z) = D# (fnmsubDouble# x y z)
{-# INLINE fmadd #-}
{-# INLINE fnmadd #-}
{-# INLINE fmsub #-}
{-# INLINE fnmsub #-}
f1, f2, f3 :: Float
f1 = 0.99999994 -- float before 1
f2 = 1.00000012 -- float after 1
f3 = 5.96046377e-08 -- float after 0
d1, d2, d3 :: Double
d1 = 0.99999999999999989 -- double before 1
d2 = 1.0000000000000002 -- double after 1
d3 = 1.1102230246251563e-16 -- double after 0
zero, one, two, three, five, seven :: Num a => a
zero = 0
one = 1
two = 2
three = 3
five = 5
seven = 7
-- NOINLINE to prevent constant folding
-- (The test FMA_ConstantFold tests constant folding.)
{-# NOINLINE f1 #-}
{-# NOINLINE f2 #-}
{-# NOINLINE f3 #-}
{-# NOINLINE d1 #-}
{-# NOINLINE d2 #-}
{-# NOINLINE d3 #-}
{-# NOINLINE zero #-}
{-# NOINLINE one #-}
{-# NOINLINE two #-}
{-# NOINLINE three #-}
{-# NOINLINE five #-}
{-# NOINLINE seven #-}
main :: IO ()
main = do
exit_ref <- newIORef False
let
it :: forall a. ( StrictEq a, Show a ) => String -> a -> a -> IO ()
it desc actual expected =
unless (actual `strictlyEqual` expected) do
writeIORef exit_ref True
putStrLn $ unlines
[ "FAIL " ++ desc
, " expected: " ++ show expected
, " actual: " ++ show actual ]
-- NB: throughout this test, we are using "round to nearest".
-- fmadd: x * y + z
-- Float
it "fmaddFloat#: sniff test"
( fmadd @Float two three one ) seven
it "fmaddFloat#: excess precision"
( fmadd @Float f1 f2 -one ) f3
it "fmaddFloat#: +0 + +0 rounds properly"
( fmadd @Float one zero zero ) zero
it "fmaddFloat#: +0 + -0 rounds properly"
( fmadd @Float one zero -zero ) zero
it "fmaddFloat#: -0 + +0 rounds properly"
( fmadd @Float one -zero zero ) zero
it "fmaddFloat#: -0 + -0 rounds properly"
( fmadd @Float one -zero -zero ) -zero
-- Double
it "fmaddDouble#: sniff test"
( fmadd @Double two three one ) seven
it "fmaddDouble#: excess precision"
( fmadd @Double d1 d2 -one ) d3
it "fmaddDouble#: +0 + +0 rounds properly"
( fmadd @Double one zero zero ) zero
it "fmaddDouble#: +0 + -0 rounds properly"
( fmadd @Double one zero -zero ) zero
it "fmaddDouble#: -0 + +0 rounds properly"
( fmadd @Double one -zero zero ) zero
it "fmaddDouble#: -0 + -0 rounds properly"
( fmadd @Double one -zero -zero ) -zero
-- fmsub: x * y - z
-- Float
it "fmsubFloat#: sniff test"
( fmsub @Float two three one ) five
it "fmsubFloat#: excess precision"
( fmsub @Float f1 f2 one ) f3
it "fmsubFloat#: +0 + +0 rounds properly"
( fmsub @Float one zero zero ) zero
it "fmsubFloat#: +0 + -0 rounds properly"
( fmsub @Float one zero -zero ) zero
it "fmsubFloat#: -0 + +0 rounds properly"
( fmsub @Float one -zero zero ) -zero
it "fmsubFloat#: -0 + -0 rounds properly"
( fmsub @Float one -zero -zero ) zero
-- Double
it "fmsubDouble#: sniff test"
( fmsub @Double two three one ) five
it "fmsubDouble#: excess precision"
( fmsub @Double d1 d2 one ) d3
it "fmsubDouble#: +0 + +0 rounds properly"
( fmsub @Double one zero zero ) zero
it "fmsubDouble#: +0 + -0 rounds properly"
( fmsub @Double one zero -zero ) zero
it "fmsubDouble#: -0 + +0 rounds properly"
( fmsub @Double one -zero zero ) -zero
it "fmsubDouble#: -0 + -0 rounds properly"
( fmsub @Double one -zero -zero ) zero
-- fnmadd: - x * y + z
-- Float
it "fnmaddFloat#: sniff test"
( fnmadd @Float two three one ) -five
it "fnmaddFloat#: excess precision"
( fnmadd @Float f1 f2 one ) -f3
it "fnmaddFloat#: +0 + +0 rounds properly"
( fnmadd @Float one zero zero ) zero
it "fnmaddFloat#: +0 + -0 rounds properly"
( fnmadd @Float one zero -zero ) -zero
it "fnmaddFloat#: -0 + +0 rounds properly"
( fnmadd @Float one -zero zero ) zero
it "fnmaddFloat#: -0 + -0 rounds properly"
( fnmadd @Float one -zero -zero ) zero
-- Double
it "fnmaddDouble#: sniff test"
( fnmadd @Double two three one ) -five
it "fnmaddDouble#: excess precision"
( fnmadd @Double d1 d2 one ) -d3
it "fnmaddDouble#: +0 + +0 rounds properly"
( fnmadd @Double one zero zero ) zero
it "fnmaddDouble#: +0 + -0 rounds properly"
( fnmadd @Double one zero -zero ) -zero
it "fnmaddDouble#: -0 + +0 rounds properly"
( fnmadd @Double one -zero zero ) zero
it "fnmaddDouble#: -0 + -0 rounds properly"
( fnmadd @Double one -zero -zero ) zero
-- fnmsub: - x * y - z
-- Float
it "fnmsubFloat#: sniff test"
( fnmsub @Float two three one ) -seven
it "fnmsubFloat#: excess precision"
( fnmsub @Float f1 f2 -one ) -f3
it "fnmsubFloat#: +0 + +0 rounds properly"
( fnmsub @Float one zero zero ) -zero
it "fnmsubFloat#: +0 + -0 rounds properly"
( fnmsub @Float one zero -zero ) zero
it "fnmsubFloat#: -0 + +0 rounds properly"
( fnmsub @Float one -zero zero ) zero
it "fnmsubFloat#: -0 + -0 rounds properly"
( fnmsub @Float one -zero -zero ) zero
-- Double
it "fnmsubDouble#: sniff test"
( fnmsub @Double two three one ) -seven
it "fnmsubDouble#: excess precision"
( fnmsub @Double d1 d2 -one ) -d3
it "fnmsubDouble#: +0 + +0 rounds properly"
( fnmsub @Double one zero zero ) -zero
it "fnmsubDouble#: +0 + -0 rounds properly"
( fnmsub @Double one zero -zero ) zero
it "fnmsubDouble#: -0 + +0 rounds properly"
( fnmsub @Double one -zero zero ) zero
it "fnmsubDouble#: -0 + -0 rounds properly"
( fnmsub @Double one -zero -zero ) zero
failure <- readIORef exit_ref
if failure
then exitFailure
else exitSuccess
|
