1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
|
{-# OPTIONS #-}
-----------------------------------------------------------------------------
{- |
Module : GSL.Special
Copyright : (c) Alberto Ruiz 2006
License : GPL-style
Maintainer : Alberto Ruiz (aruiz at um dot es)
Stability : provisional
Portability : uses ffi
Wrappers for selected special functions.
<http://www.gnu.org/software/gsl/manual/html_node/Special-Functions.html#Special-Functions>
-}
-----------------------------------------------------------------------------
module GSL.Special (
module GSL.Special.Airy,
module GSL.Special.Bessel,
module GSL.Special.Erf,
module GSL.Special.Exp,
module GSL.Special.Gamma
)
where
import Foreign
import GSL.Special.Internal
import GSL.Special.Gamma
import GSL.Special.Erf
import GSL.Special.Exp
import GSL.Special.Airy
import GSL.Special.Bessel
-------------------- simple functions --------------------------
{- | The error function (/gsl_sf_erf/), defined as 2\/ \\sqrt \\pi * \int\_0\^t \\exp -t\^2 dt.
@> erf 1.5
0.9661051464753108@
-}
foreign import ccall "gsl-aux.h gsl_sf_erf" erf :: Double -> Double
{- | The Gaussian probability density function (/gsl_sf_erf_Z/), defined as (1\/\\sqrt\{2\\pi\}) \\exp(-x\^2\/2).
>> erf_Z 1.5
>0.12951759566589172
-}
foreign import ccall "gsl-aux.h gsl_sf_erf_Z" erf_Z :: Double -> Double
-------------------- functions returning sf_result -------------
{- | The regular cylindrical Bessel function of zeroth order, J_0(x). This is
the example in the GSL manual, returning the value of the function and
the error term:
@\> bessel_J0_e 5.0
(-0.1775967713143383,1.9302109579684196e-16)@
-}
bessel_J0_e :: Double -> (Double,Double)
bessel_J0_e x = createSFR "bessel_J0_e" (gsl_sf_bessel_J0_e x)
foreign import ccall "gsl-aux.h gsl_sf_bessel_J0_e" gsl_sf_bessel_J0_e :: Double -> Ptr Double -> IO Int
-------------------- functions returning sf_result_e10 -------------
{- | (From the GSL manual) \"This function computes the exponential \exp(x) using the @gsl_sf_result_e10@ type to return a result with extended range. This function may be useful if the value of \exp(x) would overflow the numeric range of double\".
For example:
@\> exp_e10_e 30.0
(1.0686474581524432,1.4711818964275088e-14,13)@
@\> exp 30.0
1.0686474581524463e13@
-}
exp_e10_e :: Double -> (Double,Int,Double)
exp_e10_e x = createSFR_E10 "exp_e10_e" (gsl_sf_exp_e10_e x)
foreign import ccall "gsl-aux.h gsl_sf_exp_e10_e" gsl_sf_exp_e10_e :: Double -> Ptr Double -> IO Int
|
