diff options
Diffstat (limited to 'External_Functions/a.mo')
| -rw-r--r-- | External_Functions/a.mo | 4391 |
1 files changed, 4362 insertions, 29 deletions
diff --git a/External_Functions/a.mo b/External_Functions/a.mo index 7c67be0..c1b03c1 100644 --- a/External_Functions/a.mo +++ b/External_Functions/a.mo @@ -23,29 +23,16 @@ package gsl end destructor; end gsl_permutation; - /* model gsl_complex - extends ExternalObject; - - function constructor - input Integer N; - output gsl_complex k; - - external "C" annotation( - Library = "gsl", - Library = "gslcblas", - Include = "#include<gsl/gsl_complex.h>"); - end constructor; + record gsl_sf_result + Real val; + Real err; + end gsl_sf_result; - function destructor - input gsl_complex k; - - external "C" annotation( - Library = "gsl", - Library = "gslcblas", - Include = "#include<gsl/gsl_complex.h>"); - end destructor; - end gsl_complex; - */ + record gsl_sf_result_e10 + Real val; + Real err; + Integer e10; + end gsl_sf_result_e10; end data_types; package mathematical @@ -382,9 +369,9 @@ package gsl package COMPLEX function gsl_complex_rect - input Real x = 4; - input Real y = 5; - output Complex z; + input Real x; + input Real y; + output Real z[2]; external "C" z = gsl_complex_rect(x, y) annotation( Library = "gsl", @@ -431,11 +418,2543 @@ package gsl /*gsl_ran_shuffle(r, p.data, N, sizeof(size_t))*/ end Permutation; + package Special_functions + package chap_7_5_1 + function gsl_sf_bessel_J0 + // The function takes a real number x as the input and calculates the zeroth order bessel function + input Real x; + //input to the bessel function + output Real y; + + external "C" y = gsl_sf_bessel_J0(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_J0; + + function gsl_sf_bessel_J0_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_J0_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_J0_e; + + function gsl_sf_bessel_J1 + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_J1(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_J1; + + function gsl_sf_bessel_J1_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_J1_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_J1_e; + + function gsl_sf_bessel_Jn + input Real x; + input Integer n; + output Real y; + + external "C" y = gsl_sf_bessel_Jn(n, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Jn; + + function gsl_sf_bessel_Jn_e + input Real x; + input Integer n; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Jn_e(n, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Jn_e; + + function gsl_sf_bessel_Jn_array + input Integer nmin; + input Integer nmax; + input Real x; + output Real result_array[nmax - nmin]; + output Integer y; + + external "C" y = gsl_sf_bessel_Jn_array(nmin, nmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Jn_array; + end chap_7_5_1; + + package chap_7_5_2 + function gsl_sf_bessel_Y0 + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_Y0(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Y0; + + function gsl_sf_bessel_Y0_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Y0_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Y0_e; + + function gsl_sf_bessel_Y1 + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_Y1(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Y1; + + function gsl_sf_bessel_Y1_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Y1_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Y1_e; + + function gsl_sf_bessel_Yn + input Real x; + input Integer n; + output Real y; + + external "C" y = gsl_sf_bessel_Yn(n, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Yn; + + function gsl_sf_bessel_Yn_e + input Real x; + input Integer n; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Yn_e(n, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Yn_e; + + function gsl_sf_bessel_Yn_array + input Integer nmin; + input Integer nmax; + input Real x; + output Real result_array[nmax - nmin]; + output Integer y; + + external "C" y = gsl_sf_bessel_Yn_array(nmin, nmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Yn_array; + end chap_7_5_2; + + package chap_7_5_3 + function gsl_sf_bessel_I0 + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_I0(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_I0; + + function gsl_sf_bessel_I0_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_I0_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_I0_e; + + function gsl_sf_bessel_I1 + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_I1(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_I1; + + function gsl_sf_bessel_I1_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_I1_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_I1_e; + + function gsl_sf_bessel_In + input Real x; + input Integer n; + output Real y; + + external "C" y = gsl_sf_bessel_In(n, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_In; + + function gsl_sf_bessel_In_e + input Real x; + input Integer n; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_In_e(n, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_In_e; + + function gsl_sf_bessel_In_array + input Integer nmin; + input Integer nmax; + input Real x; + output Real result_array[nmax - nmin]; + output Integer y; + + external "C" y = gsl_sf_bessel_In_array(nmin, nmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_In_array; + + function gsl_sf_bessel_I0_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_I0_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_I0_scaled; + + function gsl_sf_bessel_I0_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_I0_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_I0_scaled_e; + + function gsl_sf_bessel_I1_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_I1_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_I1_scaled; + + function gsl_sf_bessel_I1_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_I1_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_I1_scaled_e; + + function gsl_sf_bessel_In_scaled + input Real x; + input Integer n; + output Real y; + + external "C" y = gsl_sf_bessel_In_scaled(n, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_In_scaled; + + function gsl_sf_bessel_In_scaled_e + input Real x; + input Integer n; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_In_scaled_e(n, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_In_scaled_e; + + function gsl_sf_bessel_In_scaled_array + input Integer nmin; + input Integer nmax; + input Real x; + output Real result_array[nmax - nmin]; + output Integer y; + + external "C" y = gsl_sf_bessel_In_scaled_array(nmin, nmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_In_scaled_array; + end chap_7_5_3; + + package chap_7_5_4 + function gsl_sf_bessel_K0 + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_K0(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_K0; + + function gsl_sf_bessel_K0_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_K0_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_K0_e; + + function gsl_sf_bessel_K1 + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_K1(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_K1; + + function gsl_sf_bessel_K1_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_K1_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_K1_e; + + function gsl_sf_bessel_Kn + input Real x; + input Integer n; + output Real y; + + external "C" y = gsl_sf_bessel_Kn(n, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Kn; + + function gsl_sf_bessel_Kn_e + input Real x; + input Integer n; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Kn_e(n, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Kn_e; + + function gsl_sf_bessel_Kn_array + input Integer nmin; + input Integer nmax; + input Real x; + output Real result_array[nmax - nmin]; + output Integer y; + + external "C" y = gsl_sf_bessel_Kn_array(nmin, nmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Kn_array; + + function gsl_sf_bessel_K0_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_K0_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_K0_scaled; + + function gsl_sf_bessel_K0_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_K0_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_K0_scaled_e; + + function gsl_sf_bessel_K1_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_K1_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_K1_scaled; + + function gsl_sf_bessel_K1_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_K1_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_K1_scaled_e; + + function gsl_sf_bessel_Kn_scaled + input Real x; + input Integer n; + output Real y; + + external "C" y = gsl_sf_bessel_Kn_scaled(n, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Kn_scaled; + + function gsl_sf_bessel_Kn_scaled_e + input Real x; + input Integer n; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Kn_scaled_e(n, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Kn_scaled_e; + + function gsl_sf_bessel_Kn_scaled_array + input Integer nmin; + input Integer nmax; + input Real x; + output Real result_array[nmax - nmin]; + output Integer y; + + external "C" y = gsl_sf_bessel_Kn_scaled_array(nmin, nmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Kn_scaled_array; + end chap_7_5_4; + + package chap_7_5_5 + function gsl_sf_bessel_j0 + //this function computes the regular spherical bessels function j0(x)=sin(x)/x + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_j0(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_j0; + + function gsl_sf_bessel_j0_e + // This function computes spherical bessels zero order function j(x)=sin(x)/x + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_j0_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_j0_e; + + function gsl_sf_bessel_j1 + //This function computes the 1st order spherical bessels function j1(x)=(sin(x)/x-cos(x))/x + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_j1(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_j1; + + function gsl_sf_bessel_j1_e + //This function computes the 1st order spherical bessels function j1(x)=(sin(x)/x-cos(x))/x + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_j1_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_j1_e; + + function gsl_sf_bessel_j2 + //This function computes the 2nd order regular spherical bessels function j 2 (x) = ((3/x 2 − 1) sin(x) −3 cos(x)/x)/x. + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_j2(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_j2; + + function gsl_sf_bessel_j2_e + //This function computes the 2nd order regular spherical bessels function j 2 (x) = ((3/x 2 − 1) sin(x) −3 cos(x)/x)/x. + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_j2_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_j2_e; + + function gsl_sf_bessel_jl + input Integer l; + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_jl(l, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_jl; + + function gsl_sf_bessel_jl_e + input Integer l; + //order of the bessel function + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_jl_e(l, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_jl_e; + + function gsl_sf_bessel_jl_array + // input Integer nmin; + input Integer lmax; + input Real x; + output Real result_array[lmax]; + output Integer y; + + external "C" y = gsl_sf_bessel_jl_array(lmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_jl_array; + + function gsl_sf_bessel_jl_steed_array + // input Integer nmin; + input Integer lmax; + input Real x; + output Real result_array[lmax]; + output Integer y; + + external "C" y = gsl_sf_bessel_jl_steed_array(lmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_jl_steed_array; + end chap_7_5_5; + + package chap_7_5_6 + function gsl_sf_bessel_y0 + //this function computes the regular spherical bessels function y0(x)=sin(x)/x + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_y0(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_y0; + + function gsl_sf_bessel_y0_e + // This function computes spherical bessels zero order function j(x)=sin(x)/x + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_y0_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_y0_e; + + function gsl_sf_bessel_y1 + //This function computes the 1st order spherical bessels function y1(x)=(sin(x)/x-cos(x))/x + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_y1(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_y1; + + function gsl_sf_bessel_y1_e + //This function computes the 1st order spherical bessels function y1(x)=(sin(x)/x-cos(x))/x + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_y1_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_y1_e; + + function gsl_sf_bessel_y2 + //This function computes the 2nd order regular spherical bessels function j 2 (x) = ((3/x 2 − 1) sin(x) −3 cos(x)/x)/x. + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_y2(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_y2; + + function gsl_sf_bessel_y2_e + //This function computes the 2nd order regular spherical bessels function j 2 (x) = ((3/x 2 − 1) sin(x) −3 cos(x)/x)/x. + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_y2_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_y2_e; + + function gsl_sf_bessel_yl + input Integer l; + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_yl(l, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_yl; + + function gsl_sf_bessel_yl_e + input Integer l; + //order of the bessel function + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_yl_e(l, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_yl_e; + + function gsl_sf_bessel_yl_array + // input Integer nmin; + input Integer lmax; + input Real x; + output Real result_array[lmax]; + output Integer y; + + external "C" y = gsl_sf_bessel_yl_array(lmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_yl_array; + end chap_7_5_6; + + package chap_7_5_7 + //regular modified spherical bessel functions + + function gsl_sf_bessel_i0_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_i0_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_i0_scaled; + + function gsl_sf_bessel_i0_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_i0_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_i0_scaled_e; + + function gsl_sf_bessel_i1_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_i1_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_i1_scaled; + + function gsl_sf_bessel_i1_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_i1_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_i1_scaled_e; + + function gsl_sf_bessel_i2_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_i2_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_i2_scaled; + + function gsl_sf_bessel_i2_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_i2_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_i2_scaled_e; + + function gsl_sf_bessel_il_scaled + input Real x; + input Integer l; + output Real y; + + external "C" y = gsl_sf_bessel_il_scaled(l, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_il_scaled; + + function gsl_sf_bessel_il_scaled_e + input Real x; + input Integer n; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_il_scaled_e(n, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_il_scaled_e; + + function gsl_sf_bessel_il_scaled_array + input Integer lmax; + input Real x; + output Real result_array[lmax]; + output Integer y; + + external "C" y = gsl_sf_bessel_il_scaled_array(lmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_il_scaled_array; + end chap_7_5_7; + + package chap_7_5_8 + function gsl_sf_bessel_k0_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_k0_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_k0_scaled; + + function gsl_sf_bessel_k0_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_k0_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_k0_scaled_e; + + function gsl_sf_bessel_k1_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_k1_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_k1_scaled; + + function gsl_sf_bessel_k1_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_k1_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_k1_scaled_e; + + function gsl_sf_bessel_k2_scaled + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_k2_scaled(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_k2_scaled; + + function gsl_sf_bessel_k2_scaled_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_k2_scaled_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_k2_scaled_e; + + function gsl_sf_bessel_kl_scaled + input Real x; + input Integer l; + output Real y; + + external "C" y = gsl_sf_bessel_kl_scaled(l, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_kl_scaled; + + function gsl_sf_bessel_kl_scaled_e + input Real x; + input Integer n; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_kl_scaled_e(n, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_kl_scaled_e; + + function gsl_sf_bessel_kl_scaled_array + input Integer lmax; + input Real x; + output Real result_array[lmax]; + output Integer y; + + external "C" y = gsl_sf_bessel_kl_scaled_array(lmax, x, result_array) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_kl_scaled_array; + end chap_7_5_8; + + package chap_7_5_9 + function gsl_sf_bessel_Jnu + input Real x; + input Real nu; + output Real y; + + external "C" y = gsl_sf_bessel_Jnu(nu, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Jnu; + + function gsl_sf_bessel_Jnu_e + input Real x; + input Real nu; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Jnu_e(nu, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Jnu_e; + end chap_7_5_9; + + package chap_7_5_10 + function gsl_sf_bessel_Ynu + input Real x; + input Real nu; + output Real y; + + external "C" y = gsl_sf_bessel_Ynu(nu, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Ynu; + + function gsl_sf_bessel_Ynu_e + input Real x; + input Real nu; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Ynu_e(nu, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Ynu_e; + end chap_7_5_10; + + package chap_7_5_11 + function gsl_sf_bessel_Inu + input Real x; + input Real nu; + output Real y; + + external "C" y = gsl_sf_bessel_Inu(nu, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Inu; + + function gsl_sf_bessel_Inu_e + input Real x; + input Real nu; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Inu_e(nu, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Inu_e; + + function gsl_sf_bessel_Inu_scaled + input Real x; + input Real nu; + output Real y; + + external "C" y = gsl_sf_bessel_Inu_scaled(nu, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Inu_scaled; + + function gsl_sf_bessel_Inu_scaled_e + input Real x; + input Real nu; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Inu_scaled_e(nu, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Inu_scaled_e; + end chap_7_5_11; + + package chap_7_5_12 + //Irregular modified bessels function + + function gsl_sf_bessel_Knu + input Real x; + input Real nu; + output Real y; + + external "C" y = gsl_sf_bessel_Knu(nu, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Knu; + + function gsl_sf_bessel_Knu_e + input Real x; + input Real nu; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Knu_e(nu, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Knu_e; + + //Irregular modified bessels function + + function gsl_sf_bessel_lnKnu + input Real x; + input Real nu; + output Real y; + + external "C" y = gsl_sf_bessel_lnKnu(nu, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_lnKnu; + + function gsl_sf_bessel_lnKnu_e + input Real x; + input Real nu; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_lnKnu_e(nu, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_lnKnu_e; + + function gsl_sf_bessel_Knu_scaled + input Real x; + input Real nu; + output Real y; + + external "C" y = gsl_sf_bessel_Knu_scaled(nu, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Knu_scaled; + + function gsl_sf_bessel_Knu_scaled_e + input Real x; + input Real nu; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_Knu_scaled_e(nu, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_Knu_scaled_e; + end chap_7_5_12; + + package chap_7_5_13 + function gsl_sf_bessel_zero_J0 + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_zero_J0(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_zero_J0; + + function gsl_sf_bessel_zero_J0_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_zero_J0_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_zero_J0_e; + + function gsl_sf_bessel_zero_J1 + input Real x; + output Real y; + + external "C" y = gsl_sf_bessel_zero_J1(x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_zero_J1; + + function gsl_sf_bessel_zero_J1_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_zero_J1_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_zero_J1_e; + + function gsl_sf_bessel_zero_Jnu + input Real x; + input Real nu; + output Real y; + + external "C" y = gsl_sf_bessel_zero_Jnu(nu, x) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_zero_Jnu; + + function gsl_sf_bessel_zero_Jnu_e + input Real x; + input Real nu; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_bessel_zero_Jnu_e(nu, x, result) annotation( + Include = "#include <gsl/gsl_sf_bessel.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_bessel_zero_Jnu_e; + end chap_7_5_13; + + package chap_7_6 + //clausen function + + function gsl_sf_clausen + input Real x; + output Real y; + + external "C" y = gsl_sf_clausen(x) annotation( + Library = "gsl", + Library = "gslcblas", + Include = "#include<gsl/gsl_sf_clausen.h>"); + end gsl_sf_clausen; + + function gsl_sf_clausen_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_clausen_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_clausen.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_clausen_e; + end chap_7_6; + + package chap_7_7_1 + function gsl_sf_hydrogenicR_1 + input Real Z; + //atomic number of the atom + input Real r; + //radus of the atom + output Real R; + //lowest-order normalized hydrogenic bound state radial wavefunction + + external "C" R = gsl_sf_hydrogenicR_1(Z, r) annotation( + Include = "#include <gsl/gsl_sf_coulomb.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_hydrogenicR_1; + + function gsl_sf_hydrogenicR_1_e + input Real Z; + //atomic number of the atom + input Real r; + //radus of the atom + output gsl.data_types.gsl_sf_result result; + output Integer y; + //lowest-order normalized hydrogenic bound state radial wavefunction + + external "C" y = gsl_sf_hydrogenicR_1_e(Z, r, result) annotation( + Include = "#include <gsl/gsl_sf_coulomb.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_hydrogenicR_1_e; + + function gsl_sf_hydrogenicR + input Integer n; + //order of the wavefunction + input Integer l; + input Real Z; + //atomic number of the atom + input Real r; + //radus of the atom + output Real R; + //lowest-order normalized hydrogenic bound state radial wavefunction + + external "C" R = gsl_sf_hydrogenicR(n, l, Z, r) annotation( + Include = "#include <gsl/gsl_sf_coulomb.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_hydrogenicR; + + function gsl_sf_hydrogenicR_e + input Integer n; + input Integer l; + input Real Z; + //atomic number of the atom + input Real r; + //radus of the atom + output gsl.data_types.gsl_sf_result result; + output Integer y; + //lowest-order normalized hydrogenic bound state radial wavefunction + + external "C" y = gsl_sf_hydrogenicR_e(n, l, Z, r, result) annotation( + Include = "#include <gsl/gsl_sf_coulomb.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_hydrogenicR_e; + end chap_7_7_1; + + package chap_7_7_2 + function gsl_sf_coulomb_wave_FG_e + input Real eta; + // eta=Z/k,where Z is atomic number + input Real x; + input Real L_F; + input Integer k; + //L_F-k>-1/2 + output gsl.data_types.gsl_sf_result F; + //coulomb wave function + output gsl.data_types.gsl_sf_result Fp; + //derivative of wave function + output gsl.data_types.gsl_sf_result G; + //coulomb wave function + output gsl.data_types.gsl_sf_result Gp; + //derivative of wave function + output Real exp_F; + //out of bound error exponenet stored here + output Real exp_G; + //out of bound error exponent stored here + output Integer y; + + external "C" y = gsl_sf_coulomb_wave_FG_e(eta, x, L_F, k, F, Fp, G, Gp, exp_F, exp_G) annotation( + Include = "#include<gsl/gsl_sf_coulomb.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coulomb_wave_FG_e; + + /* + int gsl_sf_coulomb_wave_F_array(double L_min, int kmax, double eta, double x, double fc_array[], + double * F_exponent) + */ + + function gsl_sf_coulomb_wave_F_array + input Real L_min; + input Integer kmax; + input Real eta; + input Real x; + output Real fc_array[kmax]; + output Real F_exponent; + output Integer y; + + external "C" y = gsl_sf_coulomb_wave_F_array(L_min, kmax, eta, x, fc_array, F_exponent) annotation( + Include = "#include<gsl/gsl_sf_coulomb.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coulomb_wave_F_array; + + /* + + int gsl_sf_coulomb_wave_FG_array(double L_min, int kmax, double eta, double x, double fc_array[], + double gc_array[], double * F_exponent, double * G_exponent)*/ + + function gsl_sf_coulomb_wave_FG_array + input Real L_min; + input Integer kmax; + input Real eta; + input Real x; + output Real fc_array[kmax]; + output Real gc_array[kmax]; + output Real F_exponent; + output Real G_exponent; + output Integer y; + + external "C" y = gsl_sf_coulomb_wave_FG_array(L_min, kmax, eta, x, fc_array, gc_array, F_exponent, G_exponent) annotation( + Include = "#include<gsl/gsl_sf_coulomb.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coulomb_wave_FG_array; + + function gsl_sf_coulomb_wave_FGp_array + input Real L_min; + input Integer kmax; + input Real eta; + input Real x; + output Real fc_array[kmax]; + output Real fcp_array[kmax]; + output Real gc_array[kmax]; + output Real gcp_array[kmax]; + output Real F_exponent; + output Real G_exponent; + output Integer y; + + external "C" y = gsl_sf_coulomb_wave_FGp_array(L_min, kmax, eta, x, fc_array, fcp_array, gc_array, gcp_array, F_exponent, G_exponent) annotation( + Include = "#include<gsl/gsl_sf_coulomb.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coulomb_wave_FGp_array; + + function gsl_sf_coulomb_wave_sphF_array + input Real L_min; + input Integer kmax; + input Real eta; + input Real x; + output Real fc_array[kmax]; + output Real F_exponent; + output Integer y; + + external "C" y = gsl_sf_coulomb_wave_sphF_array(L_min, kmax, eta, x, fc_array, F_exponent) annotation( + Include = "#include<gsl/gsl_sf_coulomb.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coulomb_wave_sphF_array; + end chap_7_7_2; + + package chap_7_7_3 + function gsl_sf_coulomb_CL_e + input Real L; + input Real eta; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_coulomb_CL_e(L, eta, result) annotation( + Include = "#include<gsl/gsl_sf_coulomb.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coulomb_CL_e; + + function gsl_sf_coulomb_CL_array + input Real Lmin; + input Integer kmax; + input Real eta; + output Real cl[kmax]; + output Integer y; + + external "C" y = gsl_sf_coulomb_CL_array(Lmin, kmax, eta, cl) annotation( + Include = "#include<gsl/gsl_sf_coulomb.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coulomb_CL_array; + end chap_7_7_3; + + package chap_7_8_1 + /* + + double + int gsl_sf_coupling_3j_e(int two_ja, int two_jb, int two_jc, int two_ma, int two_mb, int two_mc, + gsl_sf_result * result) + These routines compute the Wigner 3-j coefficient,*/ + + function gsl_sf_coupling_3j + input Integer two_ja; + input Integer two_jb; + input Integer two_jc; + input Integer two_ma; + input Integer two_mb; + input Integer two_mc; + output Real y; + + external "C" y = gsl_sf_coupling_3j(two_ja, two_jb, two_jc, two_ma, two_mb, two_mc) annotation( + Include = "#include<gsl/gsl_sf_coupling.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coupling_3j; + + function gsl_sf_coupling_3j_e + input Integer two_ja; + input Integer two_jb; + input Integer two_jc; + input Integer two_ma; + input Integer two_mb; + input Integer two_mc; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_coupling_3j_e(two_ja, two_jb, two_jc, two_ma, two_mb, two_mc, result) annotation( + Include = "#include<gsl/gsl_sf_coupling.h>", + Include = "#include<gsl/gsl_sf_result>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coupling_3j_e; + end chap_7_8_1; + + package chap_7_8_2 + function gsl_sf_coupling_6j + input Integer two_ja; + input Integer two_jb; + input Integer two_jc; + input Integer two_ma; + input Integer two_mb; + input Integer two_mc; + output Real y; + + external "C" y = gsl_sf_coupling_6j(two_ja, two_jb, two_jc, two_ma, two_mb, two_mc) annotation( + Include = "#include<gsl/gsl_sf_coupling.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coupling_6j; + + function gsl_sf_coupling_6j_e + input Integer two_ja; + input Integer two_jb; + input Integer two_jc; + input Integer two_ma; + input Integer two_mb; + input Integer two_mc; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_coupling_6j_e(two_ja, two_jb, two_jc, two_ma, two_mb, two_mc, result) annotation( + Include = "#include<gsl/gsl_sf_coupling.h>", + Include = "#include<gsl/gsl_sf_result>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coupling_6j_e; + end chap_7_8_2; + + /* + + double gsl_sf_coupling_9j(int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf, + int two_jg, int two_jh, int two_ji) + int gsl_sf_coupling_9j_e(int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf, int two_jg, + int two_jh, int two_ji, gsl_sf_result * result) + These routines compute the Wigner 9-j coeffici + + */ + + package chap_7_8_3 + function gsl_sf_coupling_9j + input Integer two_ja; + input Integer two_jb; + input Integer two_jc; + input Integer two_jd; + input Integer two_je; + input Integer two_jf; + input Integer two_jg; + input Integer two_jh; + input Integer two_ji; + output Real y; + + external "C" y = gsl_sf_coupling_9j(two_ja, two_jb, two_jc, two_jd, two_je, two_jf, two_jg, two_jh, two_ji) annotation( + Include = "#include<gsl/gsl_sf_coupling.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coupling_9j; + + function gsl_sf_coupling_9j_e + input Integer two_ja; + input Integer two_jb; + input Integer two_jc; + input Integer two_jd; + input Integer two_je; + input Integer two_jf; + input Integer two_jg; + input Integer two_jh; + input Integer two_ji; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_coupling_9j_e(two_ja, two_jb, two_jc, two_jd, two_je, two_jf, two_jg, two_jh, two_ji, result) annotation( + Include = "#include<gsl/gsl_sf_coupling.h>", + Include = "#include<gsl/gsl_sf_result>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_coupling_9j_e; + end chap_7_8_3; + + package chap_7_9 + function gsl_sf_dawson + input Real x; + output Real y; + + external "C" y = gsl_sf_dawson(x) annotation( + Include = "#include <gsl/gsl_sf_dawson.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_dawson; + + function gsl_sf_dawson_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_dawson_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_dawson.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_dawson_e; + end chap_7_9; + + package chap_7_10 + // double gsl_sf_debye_1(double x) + + function gsl_sf_debye_1 + input Real x; + output Real y; + + external "C" y = gsl_sf_debye_1(x) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_1; + + function gsl_sf_debye_1_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_debye_1_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_1_e; + + function gsl_sf_debye_2 + input Real x; + output Real y; + + external "C" y = gsl_sf_debye_2(x) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_2; + + function gsl_sf_debye_2_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_debye_2_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_2_e; + + function gsl_sf_debye_3 + input Real x; + output Real y; + + external "C" y = gsl_sf_debye_3(x) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_3; + + function gsl_sf_debye_3_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_debye_3_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_3_e; + + function gsl_sf_debye_4 + input Real x; + output Real y; + + external "C" y = gsl_sf_debye_4(x) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_4; + + function gsl_sf_debye_4_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_debye_4_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_4_e; + + function gsl_sf_debye_5 + input Real x; + output Real y; + + external "C" y = gsl_sf_debye_5(x) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_5; + + function gsl_sf_debye_5_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_debye_5_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_5_e; + + function gsl_sf_debye_6 + input Real x; + output Real y; + + external "C" y = gsl_sf_debye_6(x) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_6; + + function gsl_sf_debye_6_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_debye_6_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_debye.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_debye_6_e; + end chap_7_10; + + package chap_7_11_1 + function gsl_sf_dilog + input Real x; + output Real y; + + external "C" y = gsl_sf_dilog(x) annotation( + Include = "#include <gsl/gsl_sf_dilog.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_dilog; + + function gsl_sf_dilog_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_dilog_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_dilog.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_dilog_e; + end chap_7_11_1; + + package chap_7_11_2 + function gsl_sf_complex_dilog_e + input Real r; + input Real theta; + output gsl.data_types.gsl_sf_result result_re; + output gsl.data_types.gsl_sf_result result_im; + output Integer y; + + external "C" y = gsl_sf_complex_dilog_e(r, theta, result_re, result_im) annotation( + Include = "#include<gsl/gsl_sf_dilog.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_complex_dilog_e; + + /* int gsl_sf_complex_dilog_e(double r, double theta, gsl_sf_result * result_re, gsl_sf_result * re- + sult_im)*/ + end chap_7_11_2; + + package chap_7_12 + function gsl_sf_multiply + input Real x; + input Real y; + output Real z; + + external "C" z = gsl_sf_multiply(x, y) annotation( + Include = "#include<gsl/gsl_sf_elementary.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_multiply; + + function gsl_sf_multiply_e + input Real x; + input Real y; + output gsl.data_types.gsl_sf_result result; + output Integer z; + + external "C" z = gsl_sf_multiply_e(x, y, result) annotation( + Include = "#include<gsl/gsl_sf_elementary.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_multiply_e; + + function gsl_sf_multiply_err_e + input Real x; + input Real dx; + input Real y; + input Real dy; + output gsl.data_types.gsl_sf_result result; + output Integer z; + + external "C" z = gsl_sf_multiply_err_e(x, dx, y, dy, result) annotation( + Include = "#include<gsl/gsl_sf_elementary.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_multiply_err_e; + end chap_7_12; + + package chap_7_15_1 + //double gsl_sf_erf(double x) + //int gsl_sf_erf_e(double x, gsl_sf_result * result) + + function gsl_sf_erf + input Real x; + output Real y; + + external "C" y = gsl_sf_erf(x) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_erf; + + function gsl_sf_erf_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_erf_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Include = "#include<gsl/gsl.sf.result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_erf_e; + end chap_7_15_1; + + package chap_7_15_2 + function gsl_sf_erfc + input Real x; + output Real y; + + external "C" y = gsl_sf_erfc(x) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_erfc; + + function gsl_sf_erfc_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_erfc_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Include = "#include<gsl/gsl.sf.result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_erfc_e; + end chap_7_15_2; + + package chap_7_15_3 + function gsl_sf_log_erfc + input Real x; + output Real y; + + external "C" y = gsl_sf_log_erfc(x) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_log_erfc; + + function gsl_sf_log_erfc_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_log_erfc_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Include = "#include<gsl/gsl.sf.result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_log_erfc_e; + end chap_7_15_3; + + package chap_7_15_4 + /* + double gsl_sf_hazard(double x) + int gsl_sf_erf_Z_e(double x, gsl_sf_result * result) + double gsl_sf_erf_Q(double x) + int gsl_sf_erf_Q_e(double x, gsl_sf_result * result)*/ + + function gsl_sf_erf_Z + input Real x; + output Real y; + + external "C" y = gsl_sf_erf_Z(x) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_erf_Z; + + function gsl_sf_erf_Z_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_erf_Z_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Include = "#include<gsl/gsl.sf.result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_erf_Z_e; + + function gsl_sf_erf_Q + input Real x; + output Real y; + + external "C" y = gsl_sf_erf_Q(x) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_erf_Q; + + function gsl_sf_erf_Q_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_erf_Q_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Include = "#include<gsl/gsl.sf.result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_erf_Q_e; + + /*double gsl_sf_hazard(double x) + int gsl_sf_hazard_e(double x, gsl_sf_result * result)*/ + + function gsl_sf_hazard + input Real x; + output Real y; + + external "C" y = gsl_sf_hazard(x) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_hazard; + + function gsl_sf_hazard_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_hazard_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_erf.h>", + Include = "#include<gsl/gsl.sf.result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_hazard_e; + end chap_7_15_4; + + package chap_7_16_1 + /*double gsl_sf_exp(double x) + int gsl_sf_exp_e(double x, gsl_sf_result * result) + These routines provide an exponential function exp(x) using GSL semantics and error checking. + int gsl_sf_exp_e10_e(double x, gsl_sf_result_e10 * result) + 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. + double gsl_sf_exp_mult(double x, double y) + + These routines exponentiate x and multiply by the factor y to return the product y exp(x). + int gsl_sf_exp_mult_e10_e(const double x, const double y, gsl_sf_result_e10 * result)*/ + + function gsl_sf_exp + input Real x; + //input to the exp function + output Real y; + + external "C" y = gsl_sf_exp(x) annotation( + Include = "#include <gsl/gsl_sf_exp.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exp; + + function gsl_sf_exp_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_exp_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_exp.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exp_e; + + function gsl_sf_exp_e10_e + input Real x; + output gsl.data_types.gsl_sf_result_e10 result; + output Integer y; + + external "C" y = gsl_sf_exp_e10_e(x, result) annotation( + Include = "#include <gsl/gsl_sf_exp.h>", + Include = "#include <gsl/gsl_sf_result_e10.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exp_e10_e; + + function gsl_sf_exp_mult + input Real x; + input Real y; + output Real z; + + external "C" z = gsl_sf_exp_mult(x, y) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Library = "gsl", + Library = "gslcbla)"); + end gsl_sf_exp_mult; + + function gsl_sf_exp_mult_e + input Real x; + input Real y; + output gsl.data_types.gsl_sf_result result; + output Integer z; + + external "C" z = gsl_sf_exp_mult_e(x, y, result) annotation( + Include = "#include <gsl/gsl_sf_exp.h>", + Include = "#include <gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exp_mult_e; + + function gsl_sf_exp_mult_e10_e + input Real x; + input Real y; + output gsl.data_types.gsl_sf_result_e10 result; + output Integer z; + + external "C" z = gsl_sf_exp_mult_e10_e(x, y, result) annotation( + Include = "#include <gsl/gsl_sf_exp.h>", + Include = "#include <gsl/gsl_sf_result_e10.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exp_mult_e10_e; + end chap_7_16_1; + + package chap_7_16_2 + function gsl_sf_expm1 + //This routines compute the quantity exp(x) − 1 using an algorithm that is accurate for small x. + input Real x; + output Real y; + + external "C" y = gsl_sf_expm1(x) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expm1; + + function gsl_sf_expm1_e + //This routines compute the quantity exp(x) − 1 using an algorithm that is accurate for small x. + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_expm1_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expm1_e; + + function gsl_sf_exprel + //These routines compute the quantity (exp(x) − 1)/x using an algorithm that is accurate for small x + input Real x; + output Real y; + + external "C" y = gsl_sf_exprel(x) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exprel; + + function gsl_sf_exprel_e + //These routines compute the quantity (exp(x) − 1)/x using an algorithm that is accurate for small x + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_exprel_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exprel_e; + + function gsl_sf_exprel_2 + //This routines compute the quantity 2(exp(x) − 1 − x)/x^2 using an algorithm that is accurate for small x + input Real x; + output Real y; + + external "C" y = gsl_sf_exprel_2(x) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exprel_2; + + function gsl_sf_exprel_2_e + //This routines compute the quantity 2(exp(x) − 1 − x)/x^2 using an algorithm that is accurate for small x + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_exprel_2_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exprel_2_e; + + function gsl_sf_exprel_n + input Integer n; + input Real x; + output Real z; + + external "C" z = gsl_sf_exprel_n(n, x) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exprel_n; + + function gsl_sf_exprel_n_e + input Integer n; + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_exprel_n_e(n, x, result) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exprel_n_e; + end chap_7_16_2; + + package chap_7_16_3 + function gsl_sf_exp_err_e + //This function exponentiates x with an associated absolute error dx + input Real x; + input Real dx; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_exp_err_e(x, dx, result) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exp_err_e; + + function gsl_sf_exp_err_e10_e + //This function exponentiates a quantity x with an associated absolute error dx using the gsl_sf_result_e10 + input Real x; + input Real dx; + output gsl.data_types.gsl_sf_result_e10 result; + output Integer y; + + external "C" y = gsl_sf_exp_err_e10_e(x, dx, result) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Include = "#include<gsl/gsl_sf_result_e10.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exp_err_e10_e; + + function gsl_sf_exp_mult_err_e + //This routine computes the product y exp(x) for the quantities x, y with associated absolute errors dx, dy. + input Real x; + input Real dx; + input Real y; + input Real dy; + output gsl.data_types.gsl_sf_result result; + output Integer z; + + external "C" z = gsl_sf_exp_mult_err_e(x, dx, y, dy, result) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exp_mult_err_e; + + function gsl_sf_exp_mult_err_e10_e + //This routine computes the product y exp(x) for the quantities x, y with associated absolute errors dx, dy usingthe gsl_sf_result_e10 type to return a result with extended range + input Real x; + input Real dx; + input Real y; + input Real dy; + output gsl.data_types.gsl_sf_result_e10 result; + output Integer z; + + external "C" z = gsl_sf_exp_mult_err_e10_e(x, dx, y, dy, result) annotation( + Include = "#include<gsl/gsl_sf_exp.h>", + Include = "#include<gsl/gsl_sf_result_e10.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_exp_mult_err_e10_e; + end chap_7_16_3; + + package chap_7_17_1 + function gsl_sf_expint_E1 + //These routines compute the exponential integral E 1 (x), + input Real x; + output Real y; + + external "C" y = gsl_sf_expint_E1(x) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expint_E1; + + function gsl_sf_expint_E1_e + //These routines compute the exponential integral E 1 (x), + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_expint_E1_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expint_E1_e; + + function gsl_sf_expint_E2 + //These routines compute the exponential integral E 2 (x), + input Real x; + output Real y; + + external "C" y = gsl_sf_expint_E2(x) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expint_E2; + + function gsl_sf_expint_E2_e + //These routines compute the exponential integral E 2 (x), + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_expint_E2_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expint_E2_e; + + function gsl_sf_expint_En + //These routines compute the exponential integral E n (x), + input Integer n; + input Real x; + output Real y; + + external "C" y = gsl_sf_expint_En(n, x) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expint_En; + + function gsl_sf_expint_En_e + //These routines compute the exponential integral E 2 (x), + input Integer n; + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_expint_En_e(n, x, result) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expint_En_e; + end chap_7_17_1; + + package chap_7_17_2 + function gsl_sf_expint_Ei + //These routines compute the exponential integral Ei(x) + input Real x; + output Real y; + + external "C" y = gsl_sf_expint_Ei(x) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expint_Ei; + + function gsl_sf_expint_Ei_e + //These routines compute the exponential integral Ei(x) + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_expint_Ei_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_expint_Ei_e; + end chap_7_17_2; + + package chap_7_17_3 + function gsl_sf_Shi + //hyperbolic integrals + input Real x; + output Real y; + + external "C" y = gsl_sf_Shi(x) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_Shi; + + function gsl_sf_Shi_e + //hyperbolic integral + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_Shi_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_Shi_e; + + + + function gsl_sf_Chi + //hyperbolic integrals + input Real x; + output Real y; + + external "C" y = gsl_sf_Chi(x) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_Chi; + + function gsl_sf_Chi_e + //hyperbolic integral + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + + external "C" y = gsl_sf_Chi_e(x, result) annotation( + Include = "#include<gsl/gsl_sf_expint.h>", + Include = "#include<gsl/gsl_sf_result.h>", + Library = "gsl", + Library = "gslcblas"); + end gsl_sf_Chi_e; + end chap_7_17_3; + + package chap_7_17_4 + function gsl_sf_expint_3 + input Real x; + output Real y; + external "C" y=gsl_sf_expint_3(x)annotation(Include="#include<gsl/gsl_sf_expint.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_expint_3; + + function gsl_sf_expint_3_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_expint_3_e(x,result)annotation(Include="#include<gsl/gsl_sf_expint.h>",Include="#include<gsl/gsl_sf_result.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_expint_3_e; + end chap_7_17_4; + + package chap_7_17_5 + function gsl_sf_Si + input Real x; + output Real y; + external "C" y=gsl_sf_Si(x)annotation(Include="#include<gsl/gsl_sf_expint.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_Si; + + function gsl_sf_Si_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_Si_e(x,result)annotation(Include="#include<gsl/gsl_sf_expint.h>",Include="#include<gsl/gsl_sf_result>",Library="gsl",Library="gslcbas"); + end gsl_sf_Si_e; + + function gsl_sf_Ci + input Real x; + output Real y; + external "C" y=gsl_sf_Ci(x)annotation(Include="#include<gsl/gsl_sf_expint.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_Ci; + + function gsl_sf_Ci_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_Ci_e(x,result)annotation(Include="#include<gsl/gsl_sf_expint.h>",Include="#include<gsl/gsl_sf_result.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_Ci_e; + end chap_7_17_5; + + package chap_7_18_1 + + + function gsl_sf_fermi_dirac_m1 + input Real x; + output Real y; + external "C" y=gsl_sf_fermi_dirac_m1(x)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_m1; + + + //int gsl_sf_fermi_dirac_m1_e(double x, gsl_sf_result * result) + function gsl_sf_fermi_dirac_m1_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_fermi_dirac_m1_e(x,result)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas",Include="#include<gsl/gsl_sf_result.h>"); + end gsl_sf_fermi_dirac_m1_e; + + //double gsl_sf_fermi_dirac_0(double x) + function gsl_sf_fermi_dirac_0 + input Real x; + output Real y; + external "C" y=gsl_sf_fermi_dirac_0(x)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_0; + + function gsl_sf_fermi_dirac_0_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_fermi_dirac_0_e(x,result)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Include="#include<gsl/gsl_sf_result.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_0_e; + + + //double gsl_sf_fermi_dirac_1(double x) + function gsl_sf_fermi_dirac_1 + input Real x; + output Real y; + external "C" y=gsl_sf_fermi_dirac_1(x)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_1; + + //int gsl_sf_fermi_dirac_1_e(double x, gsl_sf_result * result) + function gsl_sf_fermi_dirac_1_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_fermi_dirac_1_e(x,result)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Include="#include<gsl/gsl_sf_result.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_1_e; + + + + //double gsl_sf_fermi_dirac_2(double x) + function gsl_sf_fermi_dirac_2 + input Real x; + output Real y; + external "C" y=gsl_sf_fermi_dirac_2(x)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_2; + + //int gsl_sf_fermi_dirac_2_e(double x, gsl_sf_result * result) + function gsl_sf_fermi_dirac_2_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_fermi_dirac_2_e(x,result)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Include="#include<gsl/gsl_sf_result.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_2_e; + + + + + + + //double gsl_sf_fermi_dirac_int(int j, double x) + function gsl_sf_fermi_dirac_int + input Integer j; + input Real x; + output Real y; + external "C" y=gsl_sf_fermi_dirac_int(j,x)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_int; + + function gsl_sf_fermi_dirac_int_e + input Integer j; + input Real x; + output gsl.data_types.gsl_sf_result result; + output Real y; + external "C" y=gsl_sf_fermi_dirac_int_e(j,x,result)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Include="#include<gsl/gsl_sf_result.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_int_e; + + + + + + + + + + + + + + function gsl_sf_fermi_dirac_mhalf + input Real x; + output Real y; + external "C" y=gsl_sf_fermi_dirac_mhalf(x)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_mhalf; + + + + function gsl_sf_fermi_dirac_mhalf_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_fermi_dirac_mhalf_e(x,result)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas",Include="#include<gsl/gsl_sf_result.h>"); + end gsl_sf_fermi_dirac_mhalf_e; + + + function gsl_sf_fermi_dirac_half + input Real x; + output Real y; + external "C" y=gsl_sf_fermi_dirac_half(x)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_half; + + function gsl_sf_fermi_dirac_half_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_fermi_dirac_half_e(x,result)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Include="#include<gsl/gsl_sf_result.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_half_e; + + + + function gsl_sf_fermi_dirac_3half + input Real x; + output Real y; + external "C" y=gsl_sf_fermi_dirac_3half(x)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_3half; + + + function gsl_sf_fermi_dirac_3half_e + input Real x; + output gsl.data_types.gsl_sf_result result; + output Integer y; + external "C" y=gsl_sf_fermi_dirac_3half_e(x,result)annotation(Include="#include<gsl/gsl_sf_fermi_dirac.h>",Include="#include<gsl/gsl_sf_result.h>",Library="gsl",Library="gslcblas"); + end gsl_sf_fermi_dirac_3half_e; + + + end chap_7_18_1; + end Special_functions; + package Examples package Mathematical model gsl_log1p //This model computes the value of log(1 + x) in a way that is accurate for small x by calling the function gsl_log1p(x) - parameter Real x = 0.01; + parameter Real x = -2; Real y; algorithm y := gsl.mathematical.gsl_log1p(x); @@ -515,8 +3034,8 @@ package gsl model gsl_pow_int //this function computes x^n - parameter Real x = 2.0; - parameter Integer n = 2; + parameter Real x = 0; + parameter Integer n = 0; Real y; algorithm y := gsl.mathematical.gsl_pow_int(x, n); @@ -648,7 +3167,7 @@ package gsl model GSL_MIN_INT // This model gives the minimum of two integers by calling the function GSL_MIN_INT - parameter Real a = 2; + parameter Real a = 2.5; parameter Real b = 3; Real c; algorithm @@ -705,6 +3224,1820 @@ package gsl end Permutation; package COMPLEX + model gsl_complex_rect + /*this model calls the function gsl_complex_rect*/ + parameter Real a = 10; + parameter Real b = 4; + Real z[2]; + algorithm + z := gsl.COMPLEX.gsl_complex_rect(a, b); + end gsl_complex_rect; end COMPLEX; + + package special_functions + package chap_7_5_1 + model gsl_sf_bessel_J0 + //this model calls the function gsl_sf_bessel_J0 by taking value of x as input and returning y as output + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_1.gsl_sf_bessel_J0(x); + end gsl_sf_bessel_J0; + + model gsl_sf_bessel_J0_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_1.gsl_sf_bessel_J0_e(x); + end gsl_sf_bessel_J0_e; + + model gsl_sf_bessel_J1 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_1.gsl_sf_bessel_J1(x); + end gsl_sf_bessel_J1; + + model gsl_sf_bessel_J1_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_1.gsl_sf_bessel_J1_e(x); + end gsl_sf_bessel_J1_e; + + model gsl_sf_bessel_Jn + parameter Real x = 10; + parameter Integer n = 1; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_1.gsl_sf_bessel_Jn(x, n); + end gsl_sf_bessel_Jn; + + model gsl_sf_bessel_Jn_e + parameter Real x = 10; + parameter Integer n = 1; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_1.gsl_sf_bessel_Jn_e(x, n); + end gsl_sf_bessel_Jn_e; + + model gsl_sf_bessel_Jn_array + parameter Integer nmin = 2; + parameter Integer nmax = 10; + parameter Real x = 4; + Real result_array[nmax - nmin]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_1.gsl_sf_bessel_Jn_array(nmin, nmax, x); + end gsl_sf_bessel_Jn_array; + end chap_7_5_1; + + package chap_7_5_2 + model gsl_sf_bessel_Y0 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_2.gsl_sf_bessel_Y0(x); + end gsl_sf_bessel_Y0; + + model gsl_sf_bessel_Y0_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_2.gsl_sf_bessel_Y0_e(x); + end gsl_sf_bessel_Y0_e; + + model gsl_sf_bessel_Y1 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_2.gsl_sf_bessel_Y1(x); + end gsl_sf_bessel_Y1; + + model gsl_sf_bessel_Y1_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_2.gsl_sf_bessel_Y1_e(x); + end gsl_sf_bessel_Y1_e; + + model gsl_sf_bessel_Yn + parameter Real x = 10; + parameter Integer n = 1; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_2.gsl_sf_bessel_Yn(x, n); + end gsl_sf_bessel_Yn; + + model gsl_sf_bessel_Yn_e + parameter Real x = 10; + parameter Integer n = 1; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_2.gsl_sf_bessel_Yn_e(x, n); + end gsl_sf_bessel_Yn_e; + + model gsl_sf_bessel_Yn_array + parameter Integer nmin = 2; + parameter Integer nmax = 10; + parameter Real x = 4; + Real result_array[nmax - nmin]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_2.gsl_sf_bessel_Yn_array(nmin, nmax, x); + end gsl_sf_bessel_Yn_array; + end chap_7_5_2; + + package chap_7_5_3 + model gsl_sf_bessel_I0 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_I0(x); + end gsl_sf_bessel_I0; + + model gsl_sf_bessel_I0_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_I0_e(x); + end gsl_sf_bessel_I0_e; + + model gsl_sf_bessel_I1 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_I1(x); + end gsl_sf_bessel_I1; + + model gsl_sf_bessel_I1_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_I1_e(x); + end gsl_sf_bessel_I1_e; + + model gsl_sf_bessel_In + parameter Real x = 10; + parameter Integer n = 1; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_In(x, n); + end gsl_sf_bessel_In; + + model gsl_sf_bessel_In_e + parameter Real x = 10; + parameter Integer n = 1; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_In_e(x, n); + end gsl_sf_bessel_In_e; + + model gsl_sf_bessel_In_array + parameter Integer nmin = 2; + parameter Integer nmax = 10; + parameter Real x = 4; + Real result_array[nmax - nmin]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_In_array(nmin, nmax, x); + end gsl_sf_bessel_In_array; + + model gsl_sf_bessel_I0_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_I0_scaled(x); + end gsl_sf_bessel_I0_scaled; + + model gsl_sf_bessel_I0_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_I0_scaled_e(x); + end gsl_sf_bessel_I0_scaled_e; + + model gsl_sf_bessel_I1_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_I1_scaled(x); + end gsl_sf_bessel_I1_scaled; + + model gsl_sf_bessel_I1_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_I1_scaled_e(x); + end gsl_sf_bessel_I1_scaled_e; + + model gsl_sf_bessel_In_scaled + parameter Real x = 10; + parameter Integer n = 1; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_In_scaled(x, n); + end gsl_sf_bessel_In_scaled; + + model gsl_sf_bessel_In_scaled_e + parameter Real x = 10; + parameter Integer n = 1; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_In_scaled_e(x, n); + end gsl_sf_bessel_In_scaled_e; + + model gsl_sf_bessel_In_scaled_array + parameter Integer nmin = 2; + parameter Integer nmax = 10; + parameter Real x = 4; + Real result_array[nmax - nmin]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_3.gsl_sf_bessel_In_scaled_array(nmin, nmax, x); + end gsl_sf_bessel_In_scaled_array; + end chap_7_5_3; + + package chap_7_5_4 + model gsl_sf_bessel_K0 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_K0(x); + end gsl_sf_bessel_K0; + + model gsl_sf_bessel_K0_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_K0_e(x); + end gsl_sf_bessel_K0_e; + + model gsl_sf_bessel_K1 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_K1(x); + end gsl_sf_bessel_K1; + + model gsl_sf_bessel_K1_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_K1_e(x); + end gsl_sf_bessel_K1_e; + + model gsl_sf_bessel_Kn + parameter Real x = 10; + parameter Integer n = 1; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_Kn(x, n); + end gsl_sf_bessel_Kn; + + model gsl_sf_bessel_Kn_e + parameter Real x = 10; + parameter Integer n = 1; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_Kn_e(x, n); + end gsl_sf_bessel_Kn_e; + + model gsl_sf_bessel_Kn_array + parameter Integer nmin = 2; + parameter Integer nmax = 10; + parameter Real x = 4; + Real result_array[nmax - nmin]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_Kn_array(nmin, nmax, x); + end gsl_sf_bessel_Kn_array; + + model gsl_sf_bessel_K0_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_K0_scaled(x); + end gsl_sf_bessel_K0_scaled; + + model gsl_sf_bessel_K0_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_K0_scaled_e(x); + end gsl_sf_bessel_K0_scaled_e; + + model gsl_sf_bessel_K1_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_K1_scaled(x); + end gsl_sf_bessel_K1_scaled; + + model gsl_sf_bessel_K1_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_K1_scaled_e(x); + end gsl_sf_bessel_K1_scaled_e; + + model gsl_sf_bessel_Kn_scaled + parameter Real x = 10; + parameter Integer n = 1; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_Kn_scaled(x, n); + end gsl_sf_bessel_Kn_scaled; + + model gsl_sf_bessel_Kn_scaled_e + parameter Real x = 10; + parameter Integer n = 1; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_Kn_scaled_e(x, n); + end gsl_sf_bessel_Kn_scaled_e; + + model gsl_sf_bessel_Kn_scaled_array + parameter Integer nmin = 2; + parameter Integer nmax = 10; + parameter Real x = 4; + Real result_array[nmax - nmin]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_4.gsl_sf_bessel_Kn_scaled_array(nmin, nmax, x); + end gsl_sf_bessel_Kn_scaled_array; + end chap_7_5_4; + + package chap_7_5_5 + model gsl_sf_bessel_j0 + //This model calls the function gsl_sf_bessel_j0 to calculate the value of spherical bessel function j0(x)=sin(x)/x + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j0(x); + end gsl_sf_bessel_j0; + + model gsl_sf_bessel_j0_e + //This model calls the function gsl_sf_bessel_j0 to calculate the value of spherical bessel function j0(x)=sin(x)/x + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j0_e(x); + end gsl_sf_bessel_j0_e; + + model gsl_sf_bessel_j1 + //This model calls the function gsl_sf_bessel_j1 to calculate the value of spherical bessel function j1(x)=(sin(x)/x - cos(x))/x + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j1(x); + end gsl_sf_bessel_j1; + + model gsl_sf_bessel_j1_e + //This model calls the function gsl_sf_bessel_j1 to calculate the value of spherical bessel function j1(x)=(sin(x)/x -cos(x))/x + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j1_e(x); + end gsl_sf_bessel_j1_e; + + model gsl_sf_bessel_j2 + //These routines compute the regular spherical Bessel function of second order, j 2 (x) = ((3/x 2 − 1) sin(x) −3 cos(x)/x)/x + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j2(x); + end gsl_sf_bessel_j2; + + model gsl_sf_bessel_j2_e + //These routines compute the regular spherical Bessel function of second order, j 2 (x) = ((3/x 2 − 1) sin(x) −3 cos(x)/x)/x + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j2_e(x); + end gsl_sf_bessel_j2_e; + + model gsl_sf_bessel_jl + //These routines compute the regular spherical Bessel function of order l, j1(x), for l ≥ 0 and x ≥ 0. + parameter Integer l = 10; + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_jl(l, x); + end gsl_sf_bessel_jl; + + model gsl_sf_bessel_jl_e + parameter Integer l = 10; + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_jl_e(l, x); + end gsl_sf_bessel_jl_e; + + model gsl_sf_bessel_jl_array + // parameter Integer nmin; + parameter Integer lmax = 10; + parameter Real x = 10; + Real result_array[lmax]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_jl_array(lmax, x); + end gsl_sf_bessel_jl_array; + + model gsl_sf_bessel_jl_steed_array + // parameter Integer nmin; + parameter Integer lmax = 10; + parameter Real x = 10; + Real result_array[lmax]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_jl_steed_array(lmax, x); + end gsl_sf_bessel_jl_steed_array; + end chap_7_5_5; + + package chap_7_5_6 + model gsl_sf_bessel_j0 + //This model calls the function gsl_sf_bessel_j0 to calculate the value of irregular spherical irregular spherical bessel function j0(x)=sin(x)/x + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j0(x); + end gsl_sf_bessel_j0; + + model gsl_sf_bessel_j0_e + //This model calls the function gsl_sf_bessel_j0 to calculate the value of irregular spherical bessel function j0(x)=sin(x)/x + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j0_e(x); + end gsl_sf_bessel_j0_e; + + model gsl_sf_bessel_j1 + //This model calls the function gsl_sf_bessel_j1 to calculate the value of irregular spherical bessel function j1(x)=(sin(x)/x - cos(x))/x + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j1(x); + end gsl_sf_bessel_j1; + + model gsl_sf_bessel_j1_e + //This model calls the function gsl_sf_bessel_j1 to calculate the value of irregular spherical bessel function j1(x)=(sin(x)/x -cos(x))/x + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j1_e(x); + end gsl_sf_bessel_j1_e; + + model gsl_sf_bessel_j2 + //These routines compute the regular irregular spherical Bessel function of second order, j 2 (x) = ((3/x 2 − 1) sin(x) −3 cos(x)/x)/x + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j2(x); + end gsl_sf_bessel_j2; + + model gsl_sf_bessel_j2_e + //These routines compute the irregular spherical Bessel function of second order, j 2 (x) = ((3/x 2 − 1) sin(x) −3 cos(x)/x)/x + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_j2_e(x); + end gsl_sf_bessel_j2_e; + + model gsl_sf_bessel_jl + //These routines compute the irregular spherical Bessel function of order l, j1(x), for l ≥ 0 and x ≥ 0. + parameter Integer l = 10; + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_jl(l, x); + end gsl_sf_bessel_jl; + + model gsl_sf_bessel_jl_e + parameter Integer l = 10; + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_jl_e(l, x); + end gsl_sf_bessel_jl_e; + + model gsl_sf_bessel_jl_array + // parameter Integer nmin; + parameter Integer lmax = 10; + parameter Real x = 10; + Real result_array[lmax]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_5.gsl_sf_bessel_jl_array(lmax, x); + end gsl_sf_bessel_jl_array; + end chap_7_5_6; + + package chap_7_5_7 + model gsl_sf_bessel_i0_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_7.gsl_sf_bessel_i0_scaled(x); + end gsl_sf_bessel_i0_scaled; + + model gsl_sf_bessel_i0_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_7.gsl_sf_bessel_i0_scaled_e(x); + end gsl_sf_bessel_i0_scaled_e; + + model gsl_sf_bessel_i1_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_7.gsl_sf_bessel_i1_scaled(x); + end gsl_sf_bessel_i1_scaled; + + model gsl_sf_bessel_i1_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_7.gsl_sf_bessel_i1_scaled_e(x); + end gsl_sf_bessel_i1_scaled_e; + + model gsl_sf_bessel_i2_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_7.gsl_sf_bessel_i2_scaled(x); + end gsl_sf_bessel_i2_scaled; + + model gsl_sf_bessel_i2_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_7.gsl_sf_bessel_i2_scaled_e(x); + end gsl_sf_bessel_i2_scaled_e; + + model gsl_sf_bessel_il_scaled + parameter Real x = 10; + parameter Integer l = 1; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_7.gsl_sf_bessel_il_scaled(x, l); + end gsl_sf_bessel_il_scaled; + + model gsl_sf_bessel_il_scaled_e + parameter Real x = 10; + parameter Integer l = 1; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_7.gsl_sf_bessel_il_scaled_e(x, l); + end gsl_sf_bessel_il_scaled_e; + + model gsl_sf_bessel_il_scaled_array + parameter Integer lmax = 10; + parameter Real x = 4; + Real result_array[lmax]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_7.gsl_sf_bessel_il_scaled_array(lmax, x); + end gsl_sf_bessel_il_scaled_array; + end chap_7_5_7; + + package chap_7_5_8 + model gsl_sf_bessel_k0_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_8.gsl_sf_bessel_k0_scaled(x); + end gsl_sf_bessel_k0_scaled; + + model gsl_sf_bessel_k0_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_8.gsl_sf_bessel_k0_scaled_e(x); + end gsl_sf_bessel_k0_scaled_e; + + model gsl_sf_bessel_k1_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_8.gsl_sf_bessel_k1_scaled(x); + end gsl_sf_bessel_k1_scaled; + + model gsl_sf_bessel_k1_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_8.gsl_sf_bessel_k1_scaled_e(x); + end gsl_sf_bessel_k1_scaled_e; + + model gsl_sf_bessel_k2_scaled + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_8.gsl_sf_bessel_k2_scaled(x); + end gsl_sf_bessel_k2_scaled; + + model gsl_sf_bessel_k2_scaled_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_8.gsl_sf_bessel_k2_scaled_e(x); + end gsl_sf_bessel_k2_scaled_e; + + model gsl_sf_bessel_kl_scaled + parameter Real x = 10; + parameter Integer l = 1; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_8.gsl_sf_bessel_kl_scaled(x, l); + end gsl_sf_bessel_kl_scaled; + + model gsl_sf_bessel_kl_scaled_e + parameter Real x = 10; + parameter Integer l = 1; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_8.gsl_sf_bessel_kl_scaled_e(x, l); + end gsl_sf_bessel_kl_scaled_e; + + model gsl_sf_bessel_kl_scaled_array + parameter Integer lmax = 10; + parameter Real x = 4; + Real result_array[lmax]; + Integer y; + algorithm + (result_array, y) := gsl.Special_functions.chap_7_5_8.gsl_sf_bessel_kl_scaled_array(lmax, x); + end gsl_sf_bessel_kl_scaled_array; + end chap_7_5_8; + + package chap_7_5_9 + model gsl_sf_bessel_Jnu + parameter Real x = 10; + parameter Real nu = 1.5; + Real y; + algorithm + y := gsl.Special_functions.chap_7_5_9.gsl_sf_bessel_Jnu(nu, x); + end gsl_sf_bessel_Jnu; + + model gsl_sf_bessel_Jnu_e + parameter Real x = 10; + parameter Real nu = 1.5; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_9.gsl_sf_bessel_Jnu_e(x, nu); + end gsl_sf_bessel_Jnu_e; + end chap_7_5_9; + + package chap_7_5_10 + model gsl_sf_bessel_Ynu + parameter Real x = 10; + parameter Real nu = 1.5; + Real y; + algorithm + y := gsl.Special_functions.chap_7_5_10.gsl_sf_bessel_Ynu(nu, x); + end gsl_sf_bessel_Ynu; + + model gsl_sf_bessel_Ynu_e + parameter Real x = 10; + parameter Real nu = 1.5; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_10.gsl_sf_bessel_Ynu_e(x, nu); + end gsl_sf_bessel_Ynu_e; + end chap_7_5_10; + + package chap_7_5_11 + model gsl_sf_bessel_Inu + parameter Real x = 10; + parameter Real nu = 1.5; + Real y; + algorithm + y := gsl.Special_functions.chap_7_5_11.gsl_sf_bessel_Inu(nu, x); + end gsl_sf_bessel_Inu; + + model gsl_sf_bessel_Inu_e + parameter Real x = 10; + parameter Real nu = 1.5; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_11.gsl_sf_bessel_Inu_e(x, nu); + end gsl_sf_bessel_Inu_e; + + model gsl_sf_bessel_Inu_scaled + parameter Real x = 10; + parameter Real nu = 1.5; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_11.gsl_sf_bessel_Inu_scaled(x, nu); + end gsl_sf_bessel_Inu_scaled; + + model gsl_sf_bessel_Inu_scaled_e + parameter Real x = 10; + parameter Real nu = 1.5; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_11.gsl_sf_bessel_Inu_scaled_e(x, nu); + end gsl_sf_bessel_Inu_scaled_e; + end chap_7_5_11; + + package chap_7_5_12 + model gsl_sf_bessel_Knu + parameter Real x = 10; + parameter Real nu = 1.5; + Real y; + algorithm + y := gsl.Special_functions.chap_7_5_12.gsl_sf_bessel_Knu(nu, x); + end gsl_sf_bessel_Knu; + + model gsl_sf_bessel_Knu_e + parameter Real x = 10; + parameter Real nu = 1.5; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_12.gsl_sf_bessel_Knu_e(x, nu); + end gsl_sf_bessel_Knu_e; + + model gsl_sf_bessel_lnKnu + parameter Real x = 10; + parameter Real nu = 1.5; + Real y; + algorithm + y := gsl.Special_functions.chap_7_5_12.gsl_sf_bessel_lnKnu(nu, x); + end gsl_sf_bessel_lnKnu; + + model gsl_sf_bessel_lnKnu_e + parameter Real x = 10; + parameter Real nu = 1.5; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_12.gsl_sf_bessel_lnKnu_e(x, nu); + end gsl_sf_bessel_lnKnu_e; + + model gsl_sf_bessel_Knu_scaled + parameter Real x = 10; + parameter Real nu = 1.5; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_5_12.gsl_sf_bessel_Knu_scaled(x, nu); + end gsl_sf_bessel_Knu_scaled; + + model gsl_sf_bessel_Knu_scaled_e + parameter Real x = 10; + parameter Real nu = 1.5; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_12.gsl_sf_bessel_Knu_scaled_e(x, nu); + end gsl_sf_bessel_Knu_scaled_e; + end chap_7_5_12; + + package chap_7_5_13 + model gsl_sf_bessel_zero_J0 + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_5_13.gsl_sf_bessel_zero_J0(x); + end gsl_sf_bessel_zero_J0; + + model gsl_sf_bessel_zero_J0_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_13.gsl_sf_bessel_zero_J0_e(x); + end gsl_sf_bessel_zero_J0_e; + + model gsl_sf_bessel_zero_J1 + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_5_13.gsl_sf_bessel_zero_J1(x); + end gsl_sf_bessel_zero_J1; + + model gsl_sf_bessel_zero_J1_e + parameter Real x = 10; + output gsl.data_types.gsl_sf_result result; + output Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_13.gsl_sf_bessel_zero_J1_e(x); + end gsl_sf_bessel_zero_J1_e; + + model gsl_sf_bessel_zero_Jnu + parameter Real x = 10; + parameter Real nu = 1.5; + output Real y; + algorithm + y := gsl.Special_functions.chap_7_5_13.gsl_sf_bessel_zero_Jnu(nu, x); + end gsl_sf_bessel_zero_Jnu; + + model gsl_sf_bessel_zero_Jnu_e + parameter Real x = 10; + parameter Real nu = 1.5; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_5_13.gsl_sf_bessel_zero_Jnu_e(nu, x); + end gsl_sf_bessel_zero_Jnu_e; + end chap_7_5_13; + + package chap_7_6 + model gsl_sf_clausen + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_6.gsl_sf_clausen(x); + end gsl_sf_clausen; + + model gsl_sf_clausen_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_6.gsl_sf_clausen_e(x); + end gsl_sf_clausen_e; + end chap_7_6; + + package chap_7_7_1 + model gsl_sf_hydrogenicR_1 + parameter Real Z = 10; + parameter Real r = 10; + Real R; + algorithm + R := gsl.Special_functions.chap_7_7_1.gsl_sf_hydrogenicR_1(Z, r); + end gsl_sf_hydrogenicR_1; + + model gsl_sf_hydrogenicR_1_e + parameter Real Z = 10; + parameter Real r = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_7_1.gsl_sf_hydrogenicR_1_e(Z, r); + end gsl_sf_hydrogenicR_1_e; + + model gsl_sf_hydrogenicR + parameter Integer n = 1; + parameter Integer l = 0; + parameter Real Z = 10; + parameter Real r = 0.1; + Real R; + algorithm + R := gsl.Special_functions.chap_7_7_1.gsl_sf_hydrogenicR(n, l, Z, r); + end gsl_sf_hydrogenicR; + + model gsl_sf_hydrogenicR_e + parameter Integer n = 1; + parameter Integer l = 0; + parameter Real Z = 10; + parameter Real r = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_7_1.gsl_sf_hydrogenicR_e(n, l, Z, r); + end gsl_sf_hydrogenicR_e; + end chap_7_7_1; + + package chap_7_7_2 + model gsl_sf_coulomb_wave_FG_e + parameter Real eta = 1; + // eta=Z/k,where Z is atomic number + parameter Real x = 0.1; + parameter Real L_F = 1; + parameter Integer k = 1; + //L_F-k>-1/2 + gsl.data_types.gsl_sf_result F; + //coulomb wave function + gsl.data_types.gsl_sf_result Fp; + //derivative of wave function + gsl.data_types.gsl_sf_result G; + //coulomb wave function + gsl.data_types.gsl_sf_result Gp; + //derivative of wave function + Real exp_F; + //out of bound error exponenet stored here + Real exp_G; + //out of bound error exponent stored here + Integer y; + algorithm + (F, Fp, G, Gp, exp_F, exp_G, y) := gsl.Special_functions.chap_7_7_2.gsl_sf_coulomb_wave_FG_e(eta, x, L_F, k); + end gsl_sf_coulomb_wave_FG_e; + + model gsl_sf_coulomb_wave_F_array + parameter Real L_min = 1; + parameter Integer kmax = 2; + parameter Real eta = 1; + parameter Real x = 1; + Real fc_array[kmax]; + Real F_exponent; + Integer y; + algorithm + (fc_array, F_exponent, y) := gsl.Special_functions.chap_7_7_2.gsl_sf_coulomb_wave_F_array(L_min, kmax, eta, x); + end gsl_sf_coulomb_wave_F_array; + + model gsl_sf_coulomb_wave_FG_array + parameter Real L_min = 1; + parameter Integer kmax = 2; + parameter Real eta = 1; + parameter Real x = 1.5; + Real fc_array[kmax]; + Real gc_array[kmax]; + Real F_exponent; + Real G_exponent; + Integer y; + algorithm + (fc_array, gc_array, F_exponent, G_exponent, y) := gsl.Special_functions.chap_7_7_2.gsl_sf_coulomb_wave_FG_array(L_min, kmax, eta, x); + end gsl_sf_coulomb_wave_FG_array; + + model gsl_sf_coulomb_wave_FGp_array + parameter Real L_min = 1; + parameter Integer kmax = 2; + parameter Real eta = 1; + parameter Real x = 1.5; + Real fc_array[kmax]; + Real fcp_array[kmax]; + Real gc_array[kmax]; + Real gcp_array[kmax]; + Real F_exponent; + Real G_exponent; + Integer y; + algorithm + (fc_array, fcp_array, gc_array, gcp_array, F_exponent, G_exponent, y) := gsl.Special_functions.chap_7_7_2.gsl_sf_coulomb_wave_FGp_array(L_min, kmax, eta, x); + end gsl_sf_coulomb_wave_FGp_array; + + model gsl_sf_coulomb_wave_sphF_array + parameter Real L_min = 1; + parameter Integer kmax = 2; + parameter Real eta = 1; + parameter Real x = 1.5; + Real fc_array[kmax]; + Real F_exponent; + Integer y; + algorithm + (fc_array, F_exponent, y) := gsl.Special_functions.chap_7_7_2.gsl_sf_coulomb_wave_sphF_array(L_min, kmax, eta, x); + end gsl_sf_coulomb_wave_sphF_array; + end chap_7_7_2; + + package chap_7_7_3 + model gsl_sf_coulomb_CL_e + parameter Real L = 1; + parameter Real eta = 1.5; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_7_3.gsl_sf_coulomb_CL_e(L, eta); + end gsl_sf_coulomb_CL_e; + + model gsl_sf_coulomb_CL_array + parameter Real Lmin = 1; + parameter Integer kmax = 2; + parameter Real eta = 1.5; + Real cl[kmax]; + Integer y; + algorithm + (cl, y) := gsl.Special_functions.chap_7_7_3.gsl_sf_coulomb_CL_array(Lmin, kmax, eta); + end gsl_sf_coulomb_CL_array; + end chap_7_7_3; + + package chap_7_8_1 + model gsl_sf_coupling_3j + parameter Integer two_ja = 0; + parameter Integer two_jb = 0; + parameter Integer two_jc = 0; + parameter Integer two_ma = 0; + parameter Integer two_mb = 0; + parameter Integer two_mc = 0; + Real y; + algorithm + y := gsl.Special_functions.chap_7_8_1.gsl_sf_coupling_3j(two_ja, two_jb, two_jc, two_ma, two_mb, two_mc); + end gsl_sf_coupling_3j; + + model gsl_sf_coupling_3j_e + parameter Integer two_ja = 0; + parameter Integer two_jb = 0; + parameter Integer two_jc = 0; + parameter Integer two_ma = 0; + parameter Integer two_mb = 0; + parameter Integer two_mc = 0; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_8_1.gsl_sf_coupling_3j_e(two_ja, two_jb, two_jc, two_ma, two_mb, two_mc); + end gsl_sf_coupling_3j_e; + end chap_7_8_1; + + package chap_7_8_2 + model gsl_sf_coupling_6j + parameter Integer two_ja = 0; + parameter Integer two_jb = 0; + parameter Integer two_jc = 0; + parameter Integer two_ma = 0; + parameter Integer two_mb = 0; + parameter Integer two_mc = 0; + Real y; + algorithm + y := gsl.Special_functions.chap_7_8_2.gsl_sf_coupling_6j(two_ja, two_jb, two_jc, two_ma, two_mb, two_mc); + end gsl_sf_coupling_6j; + + model gsl_sf_coupling_6j_e + parameter Integer two_ja = 0; + parameter Integer two_jb = 0; + parameter Integer two_jc = 0; + parameter Integer two_ma = 0; + parameter Integer two_mb = 0; + parameter Integer two_mc = 0; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_8_2.gsl_sf_coupling_6j_e(two_ja, two_jb, two_jc, two_ma, two_mb, two_mc); + end gsl_sf_coupling_6j_e; + end chap_7_8_2; + + package chap_7_8_3 + model gsl_sf_coupling_9j + parameter Integer two_ja = 0; + parameter Integer two_jb = 0; + parameter Integer two_jc = 0; + parameter Integer two_jd = 0; + parameter Integer two_je = 0; + parameter Integer two_jf = 0; + parameter Integer two_jg = 0; + parameter Integer two_jh = 0; + parameter Integer two_ji = 0; + Real y; + algorithm + y := gsl.Special_functions.chap_7_8_3.gsl_sf_coupling_9j(two_ja, two_jb, two_jc, two_jd, two_je, two_jf, two_jg, two_jh, two_ji); + end gsl_sf_coupling_9j; + + model gsl_sf_coupling_9j_e + parameter Integer two_ja = 0; + parameter Integer two_jb = 0; + parameter Integer two_jc = 0; + parameter Integer two_jd = 0; + parameter Integer two_je = 0; + parameter Integer two_jf = 0; + parameter Integer two_jg = 0; + parameter Integer two_jh = 0; + parameter Integer two_ji = 0; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_8_3.gsl_sf_coupling_9j_e(two_ja, two_jb, two_jc, two_jd, two_je, two_jf, two_jg, two_jh, two_ji); + end gsl_sf_coupling_9j_e; + end chap_7_8_3; + + package chap_7_9 + model gsl_sf_dawson + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_9.gsl_sf_dawson(x); + end gsl_sf_dawson; + + model gsl_sf_dawson_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_9.gsl_sf_dawson_e(x); + end gsl_sf_dawson_e; + end chap_7_9; + + package chap_7_10 + model gsl_sf_debye_1 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_10.gsl_sf_debye_1(x); + end gsl_sf_debye_1; + + model gsl_sf_debye_1_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_10.gsl_sf_debye_1_e(x); + end gsl_sf_debye_1_e; + + model gsl_sf_debye_2 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_10.gsl_sf_debye_2(x); + end gsl_sf_debye_2; + + model gsl_sf_debye_2_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_10.gsl_sf_debye_2_e(x); + end gsl_sf_debye_2_e; + + model gsl_sf_debye_3 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_10.gsl_sf_debye_3(x); + end gsl_sf_debye_3; + + model gsl_sf_debye_3_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_10.gsl_sf_debye_3_e(x); + end gsl_sf_debye_3_e; + + model gsl_sf_debye_4 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_10.gsl_sf_debye_4(x); + end gsl_sf_debye_4; + + model gsl_sf_debye_4_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_10.gsl_sf_debye_4_e(x); + end gsl_sf_debye_4_e; + + model gsl_sf_debye_5 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_10.gsl_sf_debye_5(x); + end gsl_sf_debye_5; + + model gsl_sf_debye_5_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_10.gsl_sf_debye_5_e(x); + end gsl_sf_debye_5_e; + + model gsl_sf_debye_6 + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_10.gsl_sf_debye_6(x); + end gsl_sf_debye_6; + + model gsl_sf_debye_6_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_10.gsl_sf_debye_6_e(x); + end gsl_sf_debye_6_e; + end chap_7_10; + + package chap_7_11_1 + model gsl_sf_dilog + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_11_1.gsl_sf_dilog(x); + end gsl_sf_dilog; + + model gsl_sf_dilog_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_11_1.gsl_sf_dilog_e(x); + end gsl_sf_dilog_e; + end chap_7_11_1; + + package chap_7_11_2 + model gsl_sf_complex_dilog_e + parameter Real r = 10; + parameter Real theta = 1; + gsl.data_types.gsl_sf_result result_re; + gsl.data_types.gsl_sf_result result_im; + Integer y; + algorithm + (result_re, result_im, y) := gsl.Special_functions.chap_7_11_2.gsl_sf_complex_dilog_e(r, theta); + end gsl_sf_complex_dilog_e; + end chap_7_11_2; + + package chap_7_12 + model gsl_sf_multiply + parameter Real x = 2.5; + parameter Real y = 2.5; + Real z; + algorithm + z := gsl.Special_functions.chap_7_12.gsl_sf_multiply(x, y); + end gsl_sf_multiply; + + model gsl_sf_multiply_e + parameter Real x = 2.5; + parameter Real y = 2.5; + gsl.data_types.gsl_sf_result result; + Integer z; + algorithm + (result, z) := gsl.Special_functions.chap_7_12.gsl_sf_multiply_e(x, y); + end gsl_sf_multiply_e; + + model gsl_sf_multiply_err_e + parameter Real x = 2; + parameter Real dx = 0.5; + parameter Real y = 2; + parameter Real dy = 0.2; + gsl.data_types.gsl_sf_result result; + Integer z; + algorithm + (result, z) := gsl.Special_functions.chap_7_12.gsl_sf_multiply_err_e(x, dx, y, dy); + end gsl_sf_multiply_err_e; + end chap_7_12; + + package chap_7_15_1 + model gsl_sf_erf + parameter Real x = 2; + Real y; + algorithm + y := gsl.Special_functions.chap_7_15_1.gsl_sf_erf(x); + end gsl_sf_erf; + + model gsl_sf_erf_e + parameter Real x = 2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_15_1.gsl_sf_erf_e(x); + end gsl_sf_erf_e; + end chap_7_15_1; + + package chap_7_15_2 + model gsl_sf_erfc + parameter Real x = 2; + Real y; + algorithm + y := gsl.Special_functions.chap_7_15_2.gsl_sf_erfc(x); + end gsl_sf_erfc; + + model gsl_sf_erfc_e + parameter Real x = 2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_15_2.gsl_sf_erfc_e(x); + end gsl_sf_erfc_e; + end chap_7_15_2; + + package chap_7_15_3 + model gsl_sf_log_erfc + parameter Real x = 2; + Real y; + algorithm + y := gsl.Special_functions.chap_7_15_3.gsl_sf_log_erfc(x); + end gsl_sf_log_erfc; + + model gsl_sf_log_erfc_e + parameter Real x = 2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_15_3.gsl_sf_log_erfc_e(x); + end gsl_sf_log_erfc_e; + end chap_7_15_3; + + package chap_7_15_4 + model gsl_sf_erf_Z + parameter Real x = 2; + Real y; + algorithm + y := gsl.Special_functions.chap_7_15_4.gsl_sf_erf_Z(x); + end gsl_sf_erf_Z; + + model gsl_sf_erf_Z_e + parameter Real x = 2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_15_4.gsl_sf_erf_Z_e(x); + end gsl_sf_erf_Z_e; + + model gsl_sf_erf_Q + parameter Real x = 2; + Real y; + algorithm + y := gsl.Special_functions.chap_7_15_4.gsl_sf_erf_Q(x); + end gsl_sf_erf_Q; + + model gsl_sf_erf_Q_e + parameter Real x = 2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_15_4.gsl_sf_erf_Q_e(x); + end gsl_sf_erf_Q_e; + + model gsl_sf_hazard + parameter Real x = 2; + Real y; + algorithm + y := gsl.Special_functions.chap_7_15_4.gsl_sf_hazard(x); + end gsl_sf_hazard; + + model gsl_sf_hazard_e + parameter Real x = 2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_15_4.gsl_sf_hazard_e(x); + end gsl_sf_hazard_e; + end chap_7_15_4; + + package chap_7_16_1 + model gsl_sf_exp + //this model calls the function gsl_sf_exp by taking value of x as input and returning y as output + parameter Real x = 10; + Real y(start = 1); + algorithm + y := gsl.Special_functions.chap_7_16_1.gsl_sf_exp(x); + end gsl_sf_exp; + + model gsl_sf_exp_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_16_1.gsl_sf_exp_e(x); + end gsl_sf_exp_e; + + model gsl_sf_exp_e10_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result_e10 result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_16_1.gsl_sf_exp_e10_e(x); + end gsl_sf_exp_e10_e; + + model gsl_sf_exp_mult + //this model calls the function gsl_sf_exp by taking value of x as input and returning y as output + parameter Real x = 10; + parameter Real y = 10; + Real z; + algorithm + z := gsl.Special_functions.chap_7_16_1.gsl_sf_exp_mult(x, y); + end gsl_sf_exp_mult; + + model gsl_sf_exp_mult_e + parameter Real x = 10; + parameter Real y = 10; + gsl.data_types.gsl_sf_result result; + Integer z; + algorithm + (result, z) := gsl.Special_functions.chap_7_16_1.gsl_sf_exp_mult_e(x, y); + end gsl_sf_exp_mult_e; + + model gsl_sf_exp_mult_e10_e + parameter Real x = 10; + parameter Real y = 10; + gsl.data_types.gsl_sf_result_e10 result; + Integer z; + algorithm + (result, z) := gsl.Special_functions.chap_7_16_1.gsl_sf_exp_mult_e10_e(x, y); + end gsl_sf_exp_mult_e10_e; + end chap_7_16_1; + + package chap_7_16_2 + model gsl_sf_expm1 + parameter Real x = 0.00034; + Real y; + algorithm + y := gsl.Special_functions.chap_7_16_2.gsl_sf_expm1(x); + end gsl_sf_expm1; + + model gsl_sf_expm1_e + parameter Real x = 0.000002; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_16_2.gsl_sf_expm1_e(x); + end gsl_sf_expm1_e; + + model gsl_sf_exprel + parameter Real x = 0.000002; + Real y; + algorithm + y := gsl.Special_functions.chap_7_16_2.gsl_sf_exprel(x); + end gsl_sf_exprel; + + model gsl_sf_exprel_e + parameter Real x = 0.002; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_16_2.gsl_sf_exprel_e(x); + end gsl_sf_exprel_e; + + model gsl_sf_exprel_2 + parameter Real x = 0.002; + Real y; + algorithm + y := gsl.Special_functions.chap_7_16_2.gsl_sf_exprel_2(x); + end gsl_sf_exprel_2; + + model gsl_sf_exprel_2_e + parameter Real x = 0.002; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_16_2.gsl_sf_exprel_2_e(x); + end gsl_sf_exprel_2_e; + + model gsl_sf_exprel_n + parameter Integer n = 2; + parameter Real x = 0.002; + Real z; + algorithm + z := gsl.Special_functions.chap_7_16_2.gsl_sf_exprel_n(n, x); + end gsl_sf_exprel_n; + + model gsl_sf_exprel_n_e + parameter Integer n = 2; + parameter Real x = 0.2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_16_2.gsl_sf_exprel_n_e(n, x); + end gsl_sf_exprel_n_e; + end chap_7_16_2; + + package chap_7_16_3 + model gsl_sf_exp_err_e + //This model calls the function gsl_sf_exp_err_e which exponentiates x with an associated absolute error dx + parameter Real x = 0.15; + parameter Real dx = 0.00015; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_16_3.gsl_sf_exp_err_e(x, dx); + end gsl_sf_exp_err_e; + + model gsl_sf_exp_err_e10_e + //this model calls the function gsl_sf_exp_err_e10_e which exponentiates x with an associated absolute error dx + parameter Real x = 0.15; + parameter Real dx = 0.000015; + gsl.data_types.gsl_sf_result_e10 result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_16_3.gsl_sf_exp_err_e10_e(x, dx); + end gsl_sf_exp_err_e10_e; + + model gsl_sf_exp_mult_err_e + parameter Real x = 0.15; + parameter Real dx = 0.0000000015; + parameter Real y = 1; + parameter Real dy = 0.00000001; + gsl.data_types.gsl_sf_result result; + Integer z; + algorithm + (result, z) := gsl.Special_functions.chap_7_16_3.gsl_sf_exp_mult_err_e(x, dx, y, dy); + end gsl_sf_exp_mult_err_e; + + model gsl_sf_exp_mult_err_e10_e + parameter Real x = 0.15; + parameter Real dx = 0.0000000015; + parameter Real y = 1; + parameter Real dy = 0.000000001; + gsl.data_types.gsl_sf_result_e10 result; + Integer z; + algorithm + (result, z) := gsl.Special_functions.chap_7_16_3.gsl_sf_exp_mult_err_e10_e(x, dx, y, dy); + end gsl_sf_exp_mult_err_e10_e; + end chap_7_16_3; + + package chap_7_17_1 + model gsl_sf_expint_E1 + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_17_1.gsl_sf_expint_E1(x); + end gsl_sf_expint_E1; + + model gsl_sf_expint_E1_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_17_1.gsl_sf_expint_E1_e(x); + end gsl_sf_expint_E1_e; + + model gsl_sf_expint_E2 + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_17_1.gsl_sf_expint_E2(x); + end gsl_sf_expint_E2; + + model gsl_sf_expint_E2_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_17_1.gsl_sf_expint_E2_e(x); + end gsl_sf_expint_E2_e; + + model gsl_sf_expint_En + parameter Integer n = 2; + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_17_1.gsl_sf_expint_En(n, x); + end gsl_sf_expint_En; + + model gsl_sf_expint_En_e + parameter Integer n = 4; + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_17_1.gsl_sf_expint_En_e(n, x); + end gsl_sf_expint_En_e; + end chap_7_17_1; + + package chap_7_17_2 + model gsl_sf_expint_Ei + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_17_2.gsl_sf_expint_Ei(x); + end gsl_sf_expint_Ei; + + model gsl_sf_expint_Ei_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_17_2.gsl_sf_expint_Ei_e(x); + end gsl_sf_expint_Ei_e; + end chap_7_17_2; + + package chap_7_17_3 + model gsl_sf_Shi + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_17_3.gsl_sf_Shi(x); + end gsl_sf_Shi; + + model gsl_sf_Shi_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_17_3.gsl_sf_Shi_e(x); + end gsl_sf_Shi_e; + + + model gsl_sf_Chi + parameter Real x = 10; + Real y; + algorithm + y := gsl.Special_functions.chap_7_17_3.gsl_sf_Chi(x); + end gsl_sf_Chi; + + model gsl_sf_Chi_e + parameter Real x = 10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result, y) := gsl.Special_functions.chap_7_17_3.gsl_sf_Chi_e(x); + end gsl_sf_Chi_e; + end chap_7_17_3; + + package chap_7_17_4 + model gsl_sf_expint_3 + parameter Real x=10; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_17_4.gsl_sf_expint_3(x); + end gsl_sf_expint_3; + + model gsl_sf_expint_3_e + parameter Real x=10; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_17_4.gsl_sf_expint_3_e(x); + end gsl_sf_expint_3_e; + end chap_7_17_4; + + package chap_7_17_5 + + model gsl_sf_Si + parameter Real x=10; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_17_5.gsl_sf_Si(x); + end gsl_sf_Si; + + model gsl_sf_Si_e + parameter Real x=2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_17_5.gsl_sf_Si_e(x); + end gsl_sf_Si_e; + + model gsl_sf_Ci + parameter Real x=2; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_17_5.gsl_sf_Ci(x); + end gsl_sf_Ci; + + model gsl_sf_Ci_e + parameter Real x=2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_17_5.gsl_sf_Ci_e(x); + end gsl_sf_Ci_e; + end chap_7_17_5; + + package chap_7_18_1 + + + model gsl_sf_fermi_dirac_m1 + parameter Real x=2; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_m1(x); + end gsl_sf_fermi_dirac_m1; + + + model gsl_sf_fermi_dirac_m1_e + parameter Real x=2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_m1_e(x); + end gsl_sf_fermi_dirac_m1_e; + + model gsl_sf_fermi_dirac_0 + parameter Real x=2; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_0(x); + end gsl_sf_fermi_dirac_0; + + model gsl_sf_fermi_dirac_0_e + parameter Real x=2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_0_e(x); + end gsl_sf_fermi_dirac_0_e; + + model gsl_sf_fermi_dirac_1 + parameter Real x=2; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_1(x); + end gsl_sf_fermi_dirac_1; + + model gsl_sf_fermi_dirac_1_e + parameter Real x=2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_1_e(x); + end gsl_sf_fermi_dirac_1_e; + + + + model gsl_sf_fermi_dirac_2 + parameter Real x=2; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_2(x); + end gsl_sf_fermi_dirac_2; + + model gsl_sf_fermi_dirac_2_e + parameter Real x=2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_2_e(x); + end gsl_sf_fermi_dirac_2_e; + + + model gsl_sf_fermi_dirac_int + parameter Integer j=2; + parameter Real x=2; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_int(j,x); + end gsl_sf_fermi_dirac_int; + + model gsl_sf_fermi_dirac_int_e + parameter Integer j=2; + parameter Real x=3; + gsl.data_types.gsl_sf_result result; + Real y; + algorithm + (result,y):=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_int_e(j,x); + end gsl_sf_fermi_dirac_int_e; + + + model gsl_sf_fermi_dirac_mhalf + parameter Real x=2; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_mhalf(x); + end gsl_sf_fermi_dirac_mhalf; + + + model gsl_sf_fermi_dirac_mhalf_e + parameter Real x=2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_mhalf_e(x); + end gsl_sf_fermi_dirac_mhalf_e; + + model gsl_sf_fermi_dirac_half + parameter Real x=2; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_half(x); + end gsl_sf_fermi_dirac_half; + + model gsl_sf_fermi_dirac_half_e + parameter Real x=2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_half_e(x); + end gsl_sf_fermi_dirac_half_e; + + model gsl_sf_fermi_dirac_3half + parameter Real x=2; + Real y; + algorithm + y:=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_3half(x); + end gsl_sf_fermi_dirac_3half; + + model gsl_sf_fermi_dirac_3half_e + parameter Real x=2; + gsl.data_types.gsl_sf_result result; + Integer y; + algorithm + (result,y):=gsl.Special_functions.chap_7_18_1.gsl_sf_fermi_dirac_3half_e(x); + end gsl_sf_fermi_dirac_3half_e; + + + + + end chap_7_18_1; + + + end special_functions; end Examples; end gsl;
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