module Data.Number.MPFR.Comparison where
import Data.Number.MPFR.Misc
import Data.Number.MPFR.Internal
import Prelude hiding (isNaN)
import Data.Maybe
cmp :: MPFR -> MPFR -> Maybe Ordering
cmp mp1 mp2 = if isNaN mp1 || isNaN mp2 then Nothing
else Just (compare (withMPFRBB mp1 mp2 mpfr_cmp) 0)
cmpw :: MPFR -> Word -> Maybe Ordering
cmpw mp1 w = if isNaN mp1 then Nothing else Just (compare (unsafePerformIO go) 0)
where go = with mp1 $ \p -> mpfr_cmp_ui p (fromIntegral w)
cmpi :: MPFR -> Int -> Maybe Ordering
cmpi mp1 i = if isNaN mp1 then Nothing else Just (compare (unsafePerformIO go) 0)
where go = with mp1 $ \p -> mpfr_cmp_si p (fromIntegral i)
cmpd :: MPFR -> Double -> Maybe Ordering
cmpd mp1 d = unsafePerformIO go
where go = do mpfr_clear_erangeflag
with mp1 $ \p -> do
r1 <- mpfr_cmp_d p (realToFrac d)
r2 <- mpfr_erangeflag_p
if r2 == 0 then return (Just (compare r1 0))
else do mpfr_clear_erangeflag
return Nothing
cmp2w :: MPFR -> Word -> Exp -> Maybe Ordering
cmp2w d w e = unsafePerformIO go
where go = do mpfr_clear_erangeflag
with d $ \p -> do
r1 <- mpfr_cmp_ui_2exp p (fromIntegral w) e
r2 <- mpfr_erangeflag_p
if r2 == 0 then return (Just (compare r1 0))
else do mpfr_clear_erangeflag
return Nothing
cmp2i :: MPFR -> Int -> Exp -> Maybe Ordering
cmp2i d w e = unsafePerformIO go
where go = do mpfr_clear_erangeflag
with d $ \p -> do
r1 <- mpfr_cmp_si_2exp p (fromIntegral w) e
r2 <- mpfr_erangeflag_p
if r2 == 0 then return (Just (compare r1 0))
else do mpfr_clear_erangeflag
return Nothing
cmpabs :: MPFR -> MPFR -> Maybe Ordering
cmpabs mp1 mp2 = if isNaN mp1 || isNaN mp2 then Nothing
else Just (compare (withMPFRBB mp1 mp2 mpfr_cmpabs) 0)
isNaN :: MPFR -> Bool
isNaN d = withMPFRB d mpfr_nan_p /= 0
isInfinite :: MPFR -> Bool
isInfinite d = withMPFRB d mpfr_inf_p /= 0
isNumber :: MPFR -> Bool
isNumber d = withMPFRB d mpfr_number_p /= 0
isZero :: MPFR -> Bool
isZero d = withMPFRB d mpfr_zero_p /= 0
sgn :: MPFR -> Maybe Int
sgn mp1 = case (cmpw mp1 0) of
Nothing -> Nothing
Just x -> Just (pred . fromEnum $ x)
greater :: MPFR -> MPFR -> Bool
greater d1 d2 = withMPFRBB d1 d2 mpfr_greater_p /= 0
greatereq :: MPFR -> MPFR -> Bool
greatereq d1 d2 = withMPFRBB d1 d2 mpfr_greaterequal_p /= 0
less :: MPFR -> MPFR -> Bool
less d1 d2 = withMPFRBB d1 d2 mpfr_less_p /= 0
lesseq :: MPFR -> MPFR -> Bool
lesseq d1 d2 = withMPFRBB d1 d2 mpfr_lessequal_p /= 0
lessgreater :: MPFR -> MPFR -> Maybe Bool
lessgreater d1 d2 = if isNaN d1 || isNaN d2 then Nothing
else Just (withMPFRBB d1 d2 mpfr_lessgreater_p /= 0)
equal :: MPFR -> MPFR -> Bool
equal d1 d2 = withMPFRBB d1 d2 mpfr_equal_p /= 0
unordered :: MPFR -> MPFR -> Maybe Bool
unordered d1 d2 = if isNaN d1 || isNaN d2 then Nothing
else Just (withMPFRBB d1 d2 mpfr_unordered_p /= 0)
instance Eq MPFR where
(==) = equal
instance Ord MPFR where
compare d d' = fromMaybe GT (cmp d d')
(<) = less
(<=) = lesseq
(>) = greater
(>=) = greatereq
max d d' = maxD Zero (maxPrec d d') d d'
min d d' = minD Zero (maxPrec d d') d d'