module Data.Number.MPFR.Down (
module Data.Number.MPFR.Base
)
where
import Data.Number.MPFR.Base
import Data.Number.MPFR.Internal
import Data.Maybe
import Data.Ratio
instance Num MPFR where
d + d' = add Down (maxPrec d d') d d'
d d' = sub Down (maxPrec d d') d d'
d * d' = mul Down (maxPrec d d') d d'
negate d = neg Down (getPrec d) d
abs d = absD Down (getPrec d) d
signum d = fromInt Down minPrec (fromMaybe (1) (sgn d))
fromInteger i = fromIntegerA Zero (checkPrec $ binprec i) i
instance Real MPFR where
toRational d = n % 2 ^ e
where (n', e') = decompose d
(n, e) = if e' >= 0 then ((n' * 2 ^ e'), 0)
else (n', e')
instance Fractional MPFR where
d / d' = Data.Number.MPFR.Base.div Down (maxPrec d d') d d'
fromRational r = (fromInteger n) / (fromInteger d)
where n = numerator r
d = denominator r
recip d = one / d
instance Floating MPFR where
pi = Data.Number.MPFR.Base.pi Down 53
exp d = Data.Number.MPFR.Base.exp Down (getPrec d) d
log d = Data.Number.MPFR.Base.log Down (getPrec d) d
sqrt d = Data.Number.MPFR.Base.sqrt Down (getPrec d) d
(**) d d' = Data.Number.MPFR.Base.pow Down (maxPrec d d') d d'
logBase d d' = Prelude.log d' / Prelude.log d
sin d = Data.Number.MPFR.Base.sin Down (getPrec d) d
cos d = Data.Number.MPFR.Base.cos Down (getPrec d) d
tan d = Data.Number.MPFR.Base.tan Down (getPrec d) d
asin d = Data.Number.MPFR.Base.asin Down (getPrec d) d
acos d = Data.Number.MPFR.Base.acos Down (getPrec d) d
atan d = Data.Number.MPFR.Base.atan Down (getPrec d) d
sinh d = Data.Number.MPFR.Base.sinh Down (getPrec d) d
cosh d = Data.Number.MPFR.Base.cosh Down (getPrec d) d
tanh d = Data.Number.MPFR.Base.tanh Down (getPrec d) d
asinh d = Data.Number.MPFR.Base.asinh Down (getPrec d) d
acosh d = Data.Number.MPFR.Base.acosh Down (getPrec d) d
atanh d = Data.Number.MPFR.Base.atanh Down (getPrec d) d
instance RealFrac MPFR where
properFraction d = (fromIntegral n, f)
where r = toRational d
m = numerator r
e = denominator r
n = quot m e
f = frac Down (getPrec d) d