------------------------------------------------------------ {- | Module : Numeric.GSL.Special.Legendre Copyright : (c) Alberto Ruiz 2006 License : GPL-style Maintainer : Alberto Ruiz (aruiz at um dot es) Stability : provisional Portability : uses ffi Wrappers for selected functions described at: -} ------------------------------------------------------------ module Numeric.GSL.Special.Legendre( legendre_Pl , legendre_P1 , legendre_P2 , legendre_P3 , legendre_Q0 , legendre_Q1 , legendre_Ql , legendre_Plm , legendre_sphPlm , legendre_array_size , conicalP_half , conicalP_mhalf , conicalP_0 , conicalP_1 , conicalP_sph_reg , conicalP_cyl_reg , legendre_H3d_0 , legendre_H3d_1 , legendre_H3d ) where import Foreign(Ptr) import Foreign.C.Types(CInt) import Numeric.GSL.Special.Internal -- | wrapper for int gsl_sf_legendre_Pl_e(int l,double x,double* result); -- -- legendre_Pl_e :: CInt -> Double -> Ptr Double -> CInt legendre_Pl_e = gsl_sf_legendre_Pl_e foreign import ccall "legendre.h gsl_sf_legendre_Pl_e" gsl_sf_legendre_Pl_e :: CInt -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_Pl(int l,double x); -- -- legendre_Pl :: CInt -> Double -> Double legendre_Pl = gsl_sf_legendre_Pl foreign import ccall "legendre.h gsl_sf_legendre_Pl" gsl_sf_legendre_Pl :: CInt -> Double -> Double -- | wrapper for int gsl_sf_legendre_Pl_array(int lmax,double x,double* result_array); -- -- legendre_Pl_array :: CInt -> Double -> Ptr Double -> CInt legendre_Pl_array = gsl_sf_legendre_Pl_array foreign import ccall "legendre.h gsl_sf_legendre_Pl_array" gsl_sf_legendre_Pl_array :: CInt -> Double -> Ptr Double -> CInt -- | wrapper for int gsl_sf_legendre_Pl_deriv_array(int lmax,double x,double* result_array,double* result_deriv_array); -- -- legendre_Pl_deriv_array :: CInt -> Double -> Ptr Double -> Ptr Double -> CInt legendre_Pl_deriv_array = gsl_sf_legendre_Pl_deriv_array foreign import ccall "legendre.h gsl_sf_legendre_Pl_deriv_array" gsl_sf_legendre_Pl_deriv_array :: CInt -> Double -> Ptr Double -> Ptr Double -> CInt -- | wrapper for int gsl_sf_legendre_P1_e(double x,double* result); -- -- legendre_P1_e :: Double -> Ptr Double -> CInt legendre_P1_e = gsl_sf_legendre_P1_e foreign import ccall "legendre.h gsl_sf_legendre_P1_e" gsl_sf_legendre_P1_e :: Double -> Ptr Double -> CInt -- | wrapper for int gsl_sf_legendre_P2_e(double x,double* result); -- -- legendre_P2_e :: Double -> Ptr Double -> CInt legendre_P2_e = gsl_sf_legendre_P2_e foreign import ccall "legendre.h gsl_sf_legendre_P2_e" gsl_sf_legendre_P2_e :: Double -> Ptr Double -> CInt -- | wrapper for int gsl_sf_legendre_P3_e(double x,double* result); -- -- legendre_P3_e :: Double -> Ptr Double -> CInt legendre_P3_e = gsl_sf_legendre_P3_e foreign import ccall "legendre.h gsl_sf_legendre_P3_e" gsl_sf_legendre_P3_e :: Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_P1(double x); -- -- legendre_P1 :: Double -> Double legendre_P1 = gsl_sf_legendre_P1 foreign import ccall "legendre.h gsl_sf_legendre_P1" gsl_sf_legendre_P1 :: Double -> Double -- | wrapper for double gsl_sf_legendre_P2(double x); -- -- legendre_P2 :: Double -> Double legendre_P2 = gsl_sf_legendre_P2 foreign import ccall "legendre.h gsl_sf_legendre_P2" gsl_sf_legendre_P2 :: Double -> Double -- | wrapper for double gsl_sf_legendre_P3(double x); -- -- legendre_P3 :: Double -> Double legendre_P3 = gsl_sf_legendre_P3 foreign import ccall "legendre.h gsl_sf_legendre_P3" gsl_sf_legendre_P3 :: Double -> Double -- | wrapper for int gsl_sf_legendre_Q0_e(double x,double* result); -- -- legendre_Q0_e :: Double -> Ptr Double -> CInt legendre_Q0_e = gsl_sf_legendre_Q0_e foreign import ccall "legendre.h gsl_sf_legendre_Q0_e" gsl_sf_legendre_Q0_e :: Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_Q0(double x); -- -- legendre_Q0 :: Double -> Double legendre_Q0 = gsl_sf_legendre_Q0 foreign import ccall "legendre.h gsl_sf_legendre_Q0" gsl_sf_legendre_Q0 :: Double -> Double -- | wrapper for int gsl_sf_legendre_Q1_e(double x,double* result); -- -- legendre_Q1_e :: Double -> Ptr Double -> CInt legendre_Q1_e = gsl_sf_legendre_Q1_e foreign import ccall "legendre.h gsl_sf_legendre_Q1_e" gsl_sf_legendre_Q1_e :: Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_Q1(double x); -- -- legendre_Q1 :: Double -> Double legendre_Q1 = gsl_sf_legendre_Q1 foreign import ccall "legendre.h gsl_sf_legendre_Q1" gsl_sf_legendre_Q1 :: Double -> Double -- | wrapper for int gsl_sf_legendre_Ql_e(int l,double x,double* result); -- -- legendre_Ql_e :: CInt -> Double -> Ptr Double -> CInt legendre_Ql_e = gsl_sf_legendre_Ql_e foreign import ccall "legendre.h gsl_sf_legendre_Ql_e" gsl_sf_legendre_Ql_e :: CInt -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_Ql(int l,double x); -- -- legendre_Ql :: CInt -> Double -> Double legendre_Ql = gsl_sf_legendre_Ql foreign import ccall "legendre.h gsl_sf_legendre_Ql" gsl_sf_legendre_Ql :: CInt -> Double -> Double -- | wrapper for int gsl_sf_legendre_Plm_e(int l,int m,double x,double* result); -- -- legendre_Plm_e :: CInt -> CInt -> Double -> Ptr Double -> CInt legendre_Plm_e = gsl_sf_legendre_Plm_e foreign import ccall "legendre.h gsl_sf_legendre_Plm_e" gsl_sf_legendre_Plm_e :: CInt -> CInt -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_Plm(int l,int m,double x); -- -- legendre_Plm :: CInt -> CInt -> Double -> Double legendre_Plm = gsl_sf_legendre_Plm foreign import ccall "legendre.h gsl_sf_legendre_Plm" gsl_sf_legendre_Plm :: CInt -> CInt -> Double -> Double -- | wrapper for int gsl_sf_legendre_Plm_array(int lmax,int m,double x,double* result_array); -- -- legendre_Plm_array :: CInt -> CInt -> Double -> Ptr Double -> CInt legendre_Plm_array = gsl_sf_legendre_Plm_array foreign import ccall "legendre.h gsl_sf_legendre_Plm_array" gsl_sf_legendre_Plm_array :: CInt -> CInt -> Double -> Ptr Double -> CInt -- | wrapper for int gsl_sf_legendre_Plm_deriv_array(int lmax,int m,double x,double* result_array,double* result_deriv_array); -- -- legendre_Plm_deriv_array :: CInt -> CInt -> Double -> Ptr Double -> Ptr Double -> CInt legendre_Plm_deriv_array = gsl_sf_legendre_Plm_deriv_array foreign import ccall "legendre.h gsl_sf_legendre_Plm_deriv_array" gsl_sf_legendre_Plm_deriv_array :: CInt -> CInt -> Double -> Ptr Double -> Ptr Double -> CInt -- | wrapper for int gsl_sf_legendre_sphPlm_e(int l,int m,double x,double* result); -- -- legendre_sphPlm_e :: CInt -> CInt -> Double -> Ptr Double -> CInt legendre_sphPlm_e = gsl_sf_legendre_sphPlm_e foreign import ccall "legendre.h gsl_sf_legendre_sphPlm_e" gsl_sf_legendre_sphPlm_e :: CInt -> CInt -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_sphPlm(int l,int m,double x); -- -- legendre_sphPlm :: CInt -> CInt -> Double -> Double legendre_sphPlm = gsl_sf_legendre_sphPlm foreign import ccall "legendre.h gsl_sf_legendre_sphPlm" gsl_sf_legendre_sphPlm :: CInt -> CInt -> Double -> Double -- | wrapper for int gsl_sf_legendre_sphPlm_array(int lmax,int m,double x,double* result_array); -- -- legendre_sphPlm_array :: CInt -> CInt -> Double -> Ptr Double -> CInt legendre_sphPlm_array = gsl_sf_legendre_sphPlm_array foreign import ccall "legendre.h gsl_sf_legendre_sphPlm_array" gsl_sf_legendre_sphPlm_array :: CInt -> CInt -> Double -> Ptr Double -> CInt -- | wrapper for int gsl_sf_legendre_sphPlm_deriv_array(int lmax,int m,double x,double* result_array,double* result_deriv_array); -- -- legendre_sphPlm_deriv_array :: CInt -> CInt -> Double -> Ptr Double -> Ptr Double -> CInt legendre_sphPlm_deriv_array = gsl_sf_legendre_sphPlm_deriv_array foreign import ccall "legendre.h gsl_sf_legendre_sphPlm_deriv_array" gsl_sf_legendre_sphPlm_deriv_array :: CInt -> CInt -> Double -> Ptr Double -> Ptr Double -> CInt -- | wrapper for int gsl_sf_legendre_array_size(int lmax,int m); -- -- legendre_array_size :: CInt -> CInt -> CInt legendre_array_size = gsl_sf_legendre_array_size foreign import ccall "legendre.h gsl_sf_legendre_array_size" gsl_sf_legendre_array_size :: CInt -> CInt -> CInt -- | wrapper for int gsl_sf_conicalP_half_e(double lambda,double x,double* result); -- -- conicalP_half_e :: Double -> Double -> Ptr Double -> CInt conicalP_half_e = gsl_sf_conicalP_half_e foreign import ccall "legendre.h gsl_sf_conicalP_half_e" gsl_sf_conicalP_half_e :: Double -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_conicalP_half(double lambda,double x); -- -- conicalP_half :: Double -> Double -> Double conicalP_half = gsl_sf_conicalP_half foreign import ccall "legendre.h gsl_sf_conicalP_half" gsl_sf_conicalP_half :: Double -> Double -> Double -- | wrapper for int gsl_sf_conicalP_mhalf_e(double lambda,double x,double* result); -- -- conicalP_mhalf_e :: Double -> Double -> Ptr Double -> CInt conicalP_mhalf_e = gsl_sf_conicalP_mhalf_e foreign import ccall "legendre.h gsl_sf_conicalP_mhalf_e" gsl_sf_conicalP_mhalf_e :: Double -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_conicalP_mhalf(double lambda,double x); -- -- conicalP_mhalf :: Double -> Double -> Double conicalP_mhalf = gsl_sf_conicalP_mhalf foreign import ccall "legendre.h gsl_sf_conicalP_mhalf" gsl_sf_conicalP_mhalf :: Double -> Double -> Double -- | wrapper for int gsl_sf_conicalP_0_e(double lambda,double x,double* result); -- -- conicalP_0_e :: Double -> Double -> Ptr Double -> CInt conicalP_0_e = gsl_sf_conicalP_0_e foreign import ccall "legendre.h gsl_sf_conicalP_0_e" gsl_sf_conicalP_0_e :: Double -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_conicalP_0(double lambda,double x); -- -- conicalP_0 :: Double -> Double -> Double conicalP_0 = gsl_sf_conicalP_0 foreign import ccall "legendre.h gsl_sf_conicalP_0" gsl_sf_conicalP_0 :: Double -> Double -> Double -- | wrapper for int gsl_sf_conicalP_1_e(double lambda,double x,double* result); -- -- conicalP_1_e :: Double -> Double -> Ptr Double -> CInt conicalP_1_e = gsl_sf_conicalP_1_e foreign import ccall "legendre.h gsl_sf_conicalP_1_e" gsl_sf_conicalP_1_e :: Double -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_conicalP_1(double lambda,double x); -- -- conicalP_1 :: Double -> Double -> Double conicalP_1 = gsl_sf_conicalP_1 foreign import ccall "legendre.h gsl_sf_conicalP_1" gsl_sf_conicalP_1 :: Double -> Double -> Double -- | wrapper for int gsl_sf_conicalP_sph_reg_e(int l,double lambda,double x,double* result); -- -- conicalP_sph_reg_e :: CInt -> Double -> Double -> Ptr Double -> CInt conicalP_sph_reg_e = gsl_sf_conicalP_sph_reg_e foreign import ccall "legendre.h gsl_sf_conicalP_sph_reg_e" gsl_sf_conicalP_sph_reg_e :: CInt -> Double -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_conicalP_sph_reg(int l,double lambda,double x); -- -- conicalP_sph_reg :: CInt -> Double -> Double -> Double conicalP_sph_reg = gsl_sf_conicalP_sph_reg foreign import ccall "legendre.h gsl_sf_conicalP_sph_reg" gsl_sf_conicalP_sph_reg :: CInt -> Double -> Double -> Double -- | wrapper for int gsl_sf_conicalP_cyl_reg_e(int m,double lambda,double x,double* result); -- -- conicalP_cyl_reg_e :: CInt -> Double -> Double -> Ptr Double -> CInt conicalP_cyl_reg_e = gsl_sf_conicalP_cyl_reg_e foreign import ccall "legendre.h gsl_sf_conicalP_cyl_reg_e" gsl_sf_conicalP_cyl_reg_e :: CInt -> Double -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_conicalP_cyl_reg(int m,double lambda,double x); -- -- conicalP_cyl_reg :: CInt -> Double -> Double -> Double conicalP_cyl_reg = gsl_sf_conicalP_cyl_reg foreign import ccall "legendre.h gsl_sf_conicalP_cyl_reg" gsl_sf_conicalP_cyl_reg :: CInt -> Double -> Double -> Double -- | wrapper for int gsl_sf_legendre_H3d_0_e(double lambda,double eta,double* result); -- -- legendre_H3d_0_e :: Double -> Double -> Ptr Double -> CInt legendre_H3d_0_e = gsl_sf_legendre_H3d_0_e foreign import ccall "legendre.h gsl_sf_legendre_H3d_0_e" gsl_sf_legendre_H3d_0_e :: Double -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_H3d_0(double lambda,double eta); -- -- legendre_H3d_0 :: Double -> Double -> Double legendre_H3d_0 = gsl_sf_legendre_H3d_0 foreign import ccall "legendre.h gsl_sf_legendre_H3d_0" gsl_sf_legendre_H3d_0 :: Double -> Double -> Double -- | wrapper for int gsl_sf_legendre_H3d_1_e(double lambda,double eta,double* result); -- -- legendre_H3d_1_e :: Double -> Double -> Ptr Double -> CInt legendre_H3d_1_e = gsl_sf_legendre_H3d_1_e foreign import ccall "legendre.h gsl_sf_legendre_H3d_1_e" gsl_sf_legendre_H3d_1_e :: Double -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_H3d_1(double lambda,double eta); -- -- legendre_H3d_1 :: Double -> Double -> Double legendre_H3d_1 = gsl_sf_legendre_H3d_1 foreign import ccall "legendre.h gsl_sf_legendre_H3d_1" gsl_sf_legendre_H3d_1 :: Double -> Double -> Double -- | wrapper for int gsl_sf_legendre_H3d_e(int l,double lambda,double eta,double* result); -- -- legendre_H3d_e :: CInt -> Double -> Double -> Ptr Double -> CInt legendre_H3d_e = gsl_sf_legendre_H3d_e foreign import ccall "legendre.h gsl_sf_legendre_H3d_e" gsl_sf_legendre_H3d_e :: CInt -> Double -> Double -> Ptr Double -> CInt -- | wrapper for double gsl_sf_legendre_H3d(int l,double lambda,double eta); -- -- legendre_H3d :: CInt -> Double -> Double -> Double legendre_H3d = gsl_sf_legendre_H3d foreign import ccall "legendre.h gsl_sf_legendre_H3d" gsl_sf_legendre_H3d :: CInt -> Double -> Double -> Double -- | wrapper for int gsl_sf_legendre_H3d_array(int lmax,double lambda,double eta,double* result_array); -- -- legendre_H3d_array :: CInt -> Double -> Double -> Ptr Double -> CInt legendre_H3d_array = gsl_sf_legendre_H3d_array foreign import ccall "legendre.h gsl_sf_legendre_H3d_array" gsl_sf_legendre_H3d_array :: CInt -> Double -> Double -> Ptr Double -> CInt