{-# LANGUAGE DeriveDataTypeable #-}
{-# LANGUAGE DeriveGeneric #-}
module ELynx.Tree.Distribution.BirthDeathCriticalNoTime
( BirthDeathCriticalNoTimeDistribution (..),
cumulative,
density,
quantile,
)
where
import Data.Data
( Data,
Typeable,
)
import ELynx.Tree.Distribution.Types
import GHC.Generics (Generic)
import qualified Statistics.Distribution as D
newtype BirthDeathCriticalNoTimeDistribution = BDCNTD
{
BirthDeathCriticalNoTimeDistribution -> Double
bdcntdLa :: Rate
}
deriving (BirthDeathCriticalNoTimeDistribution
-> BirthDeathCriticalNoTimeDistribution -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: BirthDeathCriticalNoTimeDistribution
-> BirthDeathCriticalNoTimeDistribution -> Bool
$c/= :: BirthDeathCriticalNoTimeDistribution
-> BirthDeathCriticalNoTimeDistribution -> Bool
== :: BirthDeathCriticalNoTimeDistribution
-> BirthDeathCriticalNoTimeDistribution -> Bool
$c== :: BirthDeathCriticalNoTimeDistribution
-> BirthDeathCriticalNoTimeDistribution -> Bool
Eq, Typeable, Typeable BirthDeathCriticalNoTimeDistribution
BirthDeathCriticalNoTimeDistribution -> DataType
BirthDeathCriticalNoTimeDistribution -> Constr
(forall b. Data b => b -> b)
-> BirthDeathCriticalNoTimeDistribution
-> BirthDeathCriticalNoTimeDistribution
forall a.
Typeable a
-> (forall (c :: * -> *).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> a -> c a)
-> (forall (c :: * -> *).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c a)
-> (a -> Constr)
-> (a -> DataType)
-> (forall (t :: * -> *) (c :: * -> *).
Typeable t =>
(forall d. Data d => c (t d)) -> Maybe (c a))
-> (forall (t :: * -> * -> *) (c :: * -> *).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c a))
-> ((forall b. Data b => b -> b) -> a -> a)
-> (forall r r'.
(r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> a -> r)
-> (forall r r'.
(r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> a -> r)
-> (forall u. (forall d. Data d => d -> u) -> a -> [u])
-> (forall u. Int -> (forall d. Data d => d -> u) -> a -> u)
-> (forall (m :: * -> *).
Monad m =>
(forall d. Data d => d -> m d) -> a -> m a)
-> (forall (m :: * -> *).
MonadPlus m =>
(forall d. Data d => d -> m d) -> a -> m a)
-> (forall (m :: * -> *).
MonadPlus m =>
(forall d. Data d => d -> m d) -> a -> m a)
-> Data a
forall u.
Int
-> (forall d. Data d => d -> u)
-> BirthDeathCriticalNoTimeDistribution
-> u
forall u.
(forall d. Data d => d -> u)
-> BirthDeathCriticalNoTimeDistribution -> [u]
forall r r'.
(r -> r' -> r)
-> r
-> (forall d. Data d => d -> r')
-> BirthDeathCriticalNoTimeDistribution
-> r
forall r r'.
(r' -> r -> r)
-> r
-> (forall d. Data d => d -> r')
-> BirthDeathCriticalNoTimeDistribution
-> r
forall (m :: * -> *).
Monad m =>
(forall d. Data d => d -> m d)
-> BirthDeathCriticalNoTimeDistribution
-> m BirthDeathCriticalNoTimeDistribution
forall (m :: * -> *).
MonadPlus m =>
(forall d. Data d => d -> m d)
-> BirthDeathCriticalNoTimeDistribution
-> m BirthDeathCriticalNoTimeDistribution
forall (c :: * -> *).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r)
-> Constr
-> c BirthDeathCriticalNoTimeDistribution
forall (c :: * -> *).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g)
-> BirthDeathCriticalNoTimeDistribution
-> c BirthDeathCriticalNoTimeDistribution
forall (t :: * -> *) (c :: * -> *).
Typeable t =>
(forall d. Data d => c (t d))
-> Maybe (c BirthDeathCriticalNoTimeDistribution)
forall (t :: * -> * -> *) (c :: * -> *).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c BirthDeathCriticalNoTimeDistribution)
gmapMo :: forall (m :: * -> *).
MonadPlus m =>
(forall d. Data d => d -> m d)
-> BirthDeathCriticalNoTimeDistribution
-> m BirthDeathCriticalNoTimeDistribution
$cgmapMo :: forall (m :: * -> *).
MonadPlus m =>
(forall d. Data d => d -> m d)
-> BirthDeathCriticalNoTimeDistribution
-> m BirthDeathCriticalNoTimeDistribution
gmapMp :: forall (m :: * -> *).
MonadPlus m =>
(forall d. Data d => d -> m d)
-> BirthDeathCriticalNoTimeDistribution
-> m BirthDeathCriticalNoTimeDistribution
$cgmapMp :: forall (m :: * -> *).
MonadPlus m =>
(forall d. Data d => d -> m d)
-> BirthDeathCriticalNoTimeDistribution
-> m BirthDeathCriticalNoTimeDistribution
gmapM :: forall (m :: * -> *).
Monad m =>
(forall d. Data d => d -> m d)
-> BirthDeathCriticalNoTimeDistribution
-> m BirthDeathCriticalNoTimeDistribution
$cgmapM :: forall (m :: * -> *).
Monad m =>
(forall d. Data d => d -> m d)
-> BirthDeathCriticalNoTimeDistribution
-> m BirthDeathCriticalNoTimeDistribution
gmapQi :: forall u.
Int
-> (forall d. Data d => d -> u)
-> BirthDeathCriticalNoTimeDistribution
-> u
$cgmapQi :: forall u.
Int
-> (forall d. Data d => d -> u)
-> BirthDeathCriticalNoTimeDistribution
-> u
gmapQ :: forall u.
(forall d. Data d => d -> u)
-> BirthDeathCriticalNoTimeDistribution -> [u]
$cgmapQ :: forall u.
(forall d. Data d => d -> u)
-> BirthDeathCriticalNoTimeDistribution -> [u]
gmapQr :: forall r r'.
(r' -> r -> r)
-> r
-> (forall d. Data d => d -> r')
-> BirthDeathCriticalNoTimeDistribution
-> r
$cgmapQr :: forall r r'.
(r' -> r -> r)
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-> (forall d. Data d => d -> r')
-> BirthDeathCriticalNoTimeDistribution
-> r
gmapQl :: forall r r'.
(r -> r' -> r)
-> r
-> (forall d. Data d => d -> r')
-> BirthDeathCriticalNoTimeDistribution
-> r
$cgmapQl :: forall r r'.
(r -> r' -> r)
-> r
-> (forall d. Data d => d -> r')
-> BirthDeathCriticalNoTimeDistribution
-> r
gmapT :: (forall b. Data b => b -> b)
-> BirthDeathCriticalNoTimeDistribution
-> BirthDeathCriticalNoTimeDistribution
$cgmapT :: (forall b. Data b => b -> b)
-> BirthDeathCriticalNoTimeDistribution
-> BirthDeathCriticalNoTimeDistribution
dataCast2 :: forall (t :: * -> * -> *) (c :: * -> *).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c BirthDeathCriticalNoTimeDistribution)
$cdataCast2 :: forall (t :: * -> * -> *) (c :: * -> *).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c BirthDeathCriticalNoTimeDistribution)
dataCast1 :: forall (t :: * -> *) (c :: * -> *).
Typeable t =>
(forall d. Data d => c (t d))
-> Maybe (c BirthDeathCriticalNoTimeDistribution)
$cdataCast1 :: forall (t :: * -> *) (c :: * -> *).
Typeable t =>
(forall d. Data d => c (t d))
-> Maybe (c BirthDeathCriticalNoTimeDistribution)
dataTypeOf :: BirthDeathCriticalNoTimeDistribution -> DataType
$cdataTypeOf :: BirthDeathCriticalNoTimeDistribution -> DataType
toConstr :: BirthDeathCriticalNoTimeDistribution -> Constr
$ctoConstr :: BirthDeathCriticalNoTimeDistribution -> Constr
gunfold :: forall (c :: * -> *).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r)
-> Constr
-> c BirthDeathCriticalNoTimeDistribution
$cgunfold :: forall (c :: * -> *).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r)
-> Constr
-> c BirthDeathCriticalNoTimeDistribution
gfoldl :: forall (c :: * -> *).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g)
-> BirthDeathCriticalNoTimeDistribution
-> c BirthDeathCriticalNoTimeDistribution
$cgfoldl :: forall (c :: * -> *).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g)
-> BirthDeathCriticalNoTimeDistribution
-> c BirthDeathCriticalNoTimeDistribution
Data, forall x.
Rep BirthDeathCriticalNoTimeDistribution x
-> BirthDeathCriticalNoTimeDistribution
forall x.
BirthDeathCriticalNoTimeDistribution
-> Rep BirthDeathCriticalNoTimeDistribution x
forall a.
(forall x. a -> Rep a x) -> (forall x. Rep a x -> a) -> Generic a
$cto :: forall x.
Rep BirthDeathCriticalNoTimeDistribution x
-> BirthDeathCriticalNoTimeDistribution
$cfrom :: forall x.
BirthDeathCriticalNoTimeDistribution
-> Rep BirthDeathCriticalNoTimeDistribution x
Generic)
instance D.Distribution BirthDeathCriticalNoTimeDistribution where
cumulative :: BirthDeathCriticalNoTimeDistribution -> Double -> Double
cumulative = BirthDeathCriticalNoTimeDistribution -> Double -> Double
cumulative
cumulative :: BirthDeathCriticalNoTimeDistribution -> Time -> Double
cumulative :: BirthDeathCriticalNoTimeDistribution -> Double -> Double
cumulative (BDCNTD Double
l) Double
x
| Double
x forall a. Ord a => a -> a -> Bool
<= Double
0 = Double
0
| Bool
otherwise = Double
x forall a. Num a => a -> a -> a
* Double
l forall a. Fractional a => a -> a -> a
/ (Double
1.0 forall a. Num a => a -> a -> a
+ Double
x forall a. Num a => a -> a -> a
* Double
l)
instance D.ContDistr BirthDeathCriticalNoTimeDistribution where
density :: BirthDeathCriticalNoTimeDistribution -> Double -> Double
density = BirthDeathCriticalNoTimeDistribution -> Double -> Double
density
quantile :: BirthDeathCriticalNoTimeDistribution -> Double -> Double
quantile = BirthDeathCriticalNoTimeDistribution -> Double -> Double
quantile
density :: BirthDeathCriticalNoTimeDistribution -> Time -> Double
density :: BirthDeathCriticalNoTimeDistribution -> Double -> Double
density (BDCNTD Double
l) Double
x
| Double
x forall a. Ord a => a -> a -> Bool
< Double
0 = Double
0
| Bool
otherwise = Double
l forall a. Fractional a => a -> a -> a
/ ((Double
1.0 forall a. Num a => a -> a -> a
+ Double
x forall a. Num a => a -> a -> a
* Double
l) forall a. Floating a => a -> a -> a
** Double
2)
quantile :: BirthDeathCriticalNoTimeDistribution -> Double -> Time
quantile :: BirthDeathCriticalNoTimeDistribution -> Double -> Double
quantile (BDCNTD Double
l) Double
p
| Double
p forall a. Ord a => a -> a -> Bool
>= Double
0 Bool -> Bool -> Bool
&& Double
p forall a. Ord a => a -> a -> Bool
<= Double
1 =
Double
p forall a. Fractional a => a -> a -> a
/ (Double
l forall a. Num a => a -> a -> a
- Double
l forall a. Num a => a -> a -> a
* Double
p)
| Bool
otherwise =
forall a. HasCallStack => [Char] -> a
error forall a b. (a -> b) -> a -> b
$ [Char]
"PointProcess.quantile: p must be in [0,1]. Got: " forall a. [a] -> [a] -> [a]
++ forall a. Show a => a -> [Char]
show Double
p forall a. [a] -> [a] -> [a]
++ [Char]
"."
instance D.ContGen BirthDeathCriticalNoTimeDistribution where
genContVar :: forall g (m :: * -> *).
StatefulGen g m =>
BirthDeathCriticalNoTimeDistribution -> g -> m Double
genContVar = forall d g (m :: * -> *).
(ContDistr d, StatefulGen g m) =>
d -> g -> m Double
D.genContinuous