------------------------------------------------------------
-- |
-- Module      :  Numeric.GSL.Special.Gamma
-- Copyright   :  (c) Alberto Ruiz 2006-11
-- License     :  GPL
-- Maintainer  :  Alberto Ruiz (aruiz at um dot es)
-- Stability   :  provisional
-- Portability :  uses ffi
--
-- Wrappers for selected functions described at:
--
-- <http://www.google.com/search?q=gsl_sf_gamma.h&as_sitesearch=www.gnu.org/software/gsl/manual&btnI=Lucky>
------------------------------------------------------------

module Numeric.GSL.Special.Gamma(
  lngamma_e
, lngamma
, gamma_e
, gamma
, gammastar_e
, gammastar
, gammainv_e
, gammainv
, lngamma_complex_e
, taylorcoeff_e
, taylorcoeff
, fact_e
, fact
, doublefact_e
, doublefact
, lnfact_e
, lnfact
, lndoublefact_e
, lndoublefact
, lnchoose_e
, lnchoose
, choose_e
, choose
, lnpoch_e
, lnpoch
, poch_e
, poch
, pochrel_e
, pochrel
, gamma_inc_Q_e
, gamma_inc_Q
, gamma_inc_P_e
, gamma_inc_P
, gamma_inc_e
, gamma_inc
, lnbeta_e
, lnbeta
, beta_e
, beta
, beta_inc_e
, beta_inc
) where

import Foreign(Ptr)
import Foreign.C.Types
import Numeric.GSL.Special.Internal

lngamma_e :: Double -> (Double,Double)
lngamma_e x = createSFR "lngamma_e" $ gsl_sf_lngamma_e x
foreign import ccall unsafe "gsl_sf_lngamma_e" gsl_sf_lngamma_e :: Double -> Ptr () -> IO CInt

lngamma :: Double -> Double
lngamma = gsl_sf_lngamma
foreign import ccall unsafe "gsl_sf_lngamma" gsl_sf_lngamma :: Double -> Double

lngamma_sgn_e :: Double -> Ptr () -> Ptr Double -> CInt
lngamma_sgn_e = gsl_sf_lngamma_sgn_e
foreign import ccall unsafe "gsl_sf_lngamma_sgn_e" gsl_sf_lngamma_sgn_e :: Double -> Ptr () -> Ptr Double -> CInt

gamma_e :: Double -> (Double,Double)
gamma_e x = createSFR "gamma_e" $ gsl_sf_gamma_e x
foreign import ccall unsafe "gsl_sf_gamma_e" gsl_sf_gamma_e :: Double -> Ptr () -> IO CInt

gamma :: Double -> Double
gamma = gsl_sf_gamma
foreign import ccall unsafe "gsl_sf_gamma" gsl_sf_gamma :: Double -> Double

gammastar_e :: Double -> (Double,Double)
gammastar_e x = createSFR "gammastar_e" $ gsl_sf_gammastar_e x
foreign import ccall unsafe "gsl_sf_gammastar_e" gsl_sf_gammastar_e :: Double -> Ptr () -> IO CInt

gammastar :: Double -> Double
gammastar = gsl_sf_gammastar
foreign import ccall unsafe "gsl_sf_gammastar" gsl_sf_gammastar :: Double -> Double

gammainv_e :: Double -> (Double,Double)
gammainv_e x = createSFR "gammainv_e" $ gsl_sf_gammainv_e x
foreign import ccall unsafe "gsl_sf_gammainv_e" gsl_sf_gammainv_e :: Double -> Ptr () -> IO CInt

gammainv :: Double -> Double
gammainv = gsl_sf_gammainv
foreign import ccall unsafe "gsl_sf_gammainv" gsl_sf_gammainv :: Double -> Double

lngamma_complex_e :: Double -> Double -> ((Double,Double),(Double,Double))
lngamma_complex_e zr zi = create2SFR "lngamma_complex_e" $ gsl_sf_lngamma_complex_e zr zi
foreign import ccall unsafe "gsl_sf_lngamma_complex_e" gsl_sf_lngamma_complex_e :: Double -> Double -> Ptr () -> Ptr () -> IO CInt

taylorcoeff_e :: CInt -> Double -> (Double,Double)
taylorcoeff_e n x = createSFR "taylorcoeff_e" $ gsl_sf_taylorcoeff_e n x
foreign import ccall unsafe "gsl_sf_taylorcoeff_e" gsl_sf_taylorcoeff_e :: CInt -> Double -> Ptr () -> IO CInt

taylorcoeff :: CInt -> Double -> Double
taylorcoeff = gsl_sf_taylorcoeff
foreign import ccall unsafe "gsl_sf_taylorcoeff" gsl_sf_taylorcoeff :: CInt -> Double -> Double

fact_e :: CInt -> (Double,Double)
fact_e n = createSFR "fact_e" $ gsl_sf_fact_e n
foreign import ccall unsafe "gsl_sf_fact_e" gsl_sf_fact_e :: CInt -> Ptr () -> IO CInt

fact :: CInt -> Double
fact = gsl_sf_fact
foreign import ccall unsafe "gsl_sf_fact" gsl_sf_fact :: CInt -> Double

doublefact_e :: CInt -> (Double,Double)
doublefact_e n = createSFR "doublefact_e" $ gsl_sf_doublefact_e n
foreign import ccall unsafe "gsl_sf_doublefact_e" gsl_sf_doublefact_e :: CInt -> Ptr () -> IO CInt

doublefact :: CInt -> Double
doublefact = gsl_sf_doublefact
foreign import ccall unsafe "gsl_sf_doublefact" gsl_sf_doublefact :: CInt -> Double

lnfact_e :: CInt -> (Double,Double)
lnfact_e n = createSFR "lnfact_e" $ gsl_sf_lnfact_e n
foreign import ccall unsafe "gsl_sf_lnfact_e" gsl_sf_lnfact_e :: CInt -> Ptr () -> IO CInt

lnfact :: CInt -> Double
lnfact = gsl_sf_lnfact
foreign import ccall unsafe "gsl_sf_lnfact" gsl_sf_lnfact :: CInt -> Double

lndoublefact_e :: CInt -> (Double,Double)
lndoublefact_e n = createSFR "lndoublefact_e" $ gsl_sf_lndoublefact_e n
foreign import ccall unsafe "gsl_sf_lndoublefact_e" gsl_sf_lndoublefact_e :: CInt -> Ptr () -> IO CInt

lndoublefact :: CInt -> Double
lndoublefact = gsl_sf_lndoublefact
foreign import ccall unsafe "gsl_sf_lndoublefact" gsl_sf_lndoublefact :: CInt -> Double

lnchoose_e :: CInt -> CInt -> (Double,Double)
lnchoose_e n m = createSFR "lnchoose_e" $ gsl_sf_lnchoose_e n m
foreign import ccall unsafe "gsl_sf_lnchoose_e" gsl_sf_lnchoose_e :: CInt -> CInt -> Ptr () -> IO CInt

lnchoose :: CInt -> CInt -> Double
lnchoose = gsl_sf_lnchoose
foreign import ccall unsafe "gsl_sf_lnchoose" gsl_sf_lnchoose :: CInt -> CInt -> Double

choose_e :: CInt -> CInt -> (Double,Double)
choose_e n m = createSFR "choose_e" $ gsl_sf_choose_e n m
foreign import ccall unsafe "gsl_sf_choose_e" gsl_sf_choose_e :: CInt -> CInt -> Ptr () -> IO CInt

choose :: CInt -> CInt -> Double
choose = gsl_sf_choose
foreign import ccall unsafe "gsl_sf_choose" gsl_sf_choose :: CInt -> CInt -> Double

lnpoch_e :: Double -> Double -> (Double,Double)
lnpoch_e a x = createSFR "lnpoch_e" $ gsl_sf_lnpoch_e a x
foreign import ccall unsafe "gsl_sf_lnpoch_e" gsl_sf_lnpoch_e :: Double -> Double -> Ptr () -> IO CInt

lnpoch :: Double -> Double -> Double
lnpoch = gsl_sf_lnpoch
foreign import ccall unsafe "gsl_sf_lnpoch" gsl_sf_lnpoch :: Double -> Double -> Double

lnpoch_sgn_e :: Double -> Double -> Ptr () -> Ptr Double -> CInt
lnpoch_sgn_e = gsl_sf_lnpoch_sgn_e
foreign import ccall unsafe "gsl_sf_lnpoch_sgn_e" gsl_sf_lnpoch_sgn_e :: Double -> Double -> Ptr () -> Ptr Double -> CInt

poch_e :: Double -> Double -> (Double,Double)
poch_e a x = createSFR "poch_e" $ gsl_sf_poch_e a x
foreign import ccall unsafe "gsl_sf_poch_e" gsl_sf_poch_e :: Double -> Double -> Ptr () -> IO CInt

poch :: Double -> Double -> Double
poch = gsl_sf_poch
foreign import ccall unsafe "gsl_sf_poch" gsl_sf_poch :: Double -> Double -> Double

pochrel_e :: Double -> Double -> (Double,Double)
pochrel_e a x = createSFR "pochrel_e" $ gsl_sf_pochrel_e a x
foreign import ccall unsafe "gsl_sf_pochrel_e" gsl_sf_pochrel_e :: Double -> Double -> Ptr () -> IO CInt

pochrel :: Double -> Double -> Double
pochrel = gsl_sf_pochrel
foreign import ccall unsafe "gsl_sf_pochrel" gsl_sf_pochrel :: Double -> Double -> Double

gamma_inc_Q_e :: Double -> Double -> (Double,Double)
gamma_inc_Q_e a x = createSFR "gamma_inc_Q_e" $ gsl_sf_gamma_inc_Q_e a x
foreign import ccall unsafe "gsl_sf_gamma_inc_Q_e" gsl_sf_gamma_inc_Q_e :: Double -> Double -> Ptr () -> IO CInt

gamma_inc_Q :: Double -> Double -> Double
gamma_inc_Q = gsl_sf_gamma_inc_Q
foreign import ccall unsafe "gsl_sf_gamma_inc_Q" gsl_sf_gamma_inc_Q :: Double -> Double -> Double

gamma_inc_P_e :: Double -> Double -> (Double,Double)
gamma_inc_P_e a x = createSFR "gamma_inc_P_e" $ gsl_sf_gamma_inc_P_e a x
foreign import ccall unsafe "gsl_sf_gamma_inc_P_e" gsl_sf_gamma_inc_P_e :: Double -> Double -> Ptr () -> IO CInt

gamma_inc_P :: Double -> Double -> Double
gamma_inc_P = gsl_sf_gamma_inc_P
foreign import ccall unsafe "gsl_sf_gamma_inc_P" gsl_sf_gamma_inc_P :: Double -> Double -> Double

gamma_inc_e :: Double -> Double -> (Double,Double)
gamma_inc_e a x = createSFR "gamma_inc_e" $ gsl_sf_gamma_inc_e a x
foreign import ccall unsafe "gsl_sf_gamma_inc_e" gsl_sf_gamma_inc_e :: Double -> Double -> Ptr () -> IO CInt

gamma_inc :: Double -> Double -> Double
gamma_inc = gsl_sf_gamma_inc
foreign import ccall unsafe "gsl_sf_gamma_inc" gsl_sf_gamma_inc :: Double -> Double -> Double

lnbeta_e :: Double -> Double -> (Double,Double)
lnbeta_e a b = createSFR "lnbeta_e" $ gsl_sf_lnbeta_e a b
foreign import ccall unsafe "gsl_sf_lnbeta_e" gsl_sf_lnbeta_e :: Double -> Double -> Ptr () -> IO CInt

lnbeta :: Double -> Double -> Double
lnbeta = gsl_sf_lnbeta
foreign import ccall unsafe "gsl_sf_lnbeta" gsl_sf_lnbeta :: Double -> Double -> Double

lnbeta_sgn_e :: Double -> Double -> Ptr () -> Ptr Double -> CInt
lnbeta_sgn_e = gsl_sf_lnbeta_sgn_e
foreign import ccall unsafe "gsl_sf_lnbeta_sgn_e" gsl_sf_lnbeta_sgn_e :: Double -> Double -> Ptr () -> Ptr Double -> CInt

beta_e :: Double -> Double -> (Double,Double)
beta_e a b = createSFR "beta_e" $ gsl_sf_beta_e a b
foreign import ccall unsafe "gsl_sf_beta_e" gsl_sf_beta_e :: Double -> Double -> Ptr () -> IO CInt

beta :: Double -> Double -> Double
beta = gsl_sf_beta
foreign import ccall unsafe "gsl_sf_beta" gsl_sf_beta :: Double -> Double -> Double

beta_inc_e :: Double -> Double -> Double -> (Double,Double)
beta_inc_e a b x = createSFR "beta_inc_e" $ gsl_sf_beta_inc_e a b x
foreign import ccall unsafe "gsl_sf_beta_inc_e" gsl_sf_beta_inc_e :: Double -> Double -> Double -> Ptr () -> IO CInt

beta_inc :: Double -> Double -> Double -> Double
beta_inc = gsl_sf_beta_inc
foreign import ccall unsafe "gsl_sf_beta_inc" gsl_sf_beta_inc :: Double -> Double -> Double -> Double