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// GetDP - Copyright (C) 1997-2018 P. Dular and C. Geuzaine, University of Liege
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/getdp/getdp/issues
#include "GetDPConfig.h"
#include "Message.h"
#include "Bessel.h"
#if defined(HAVE_NO_FORTRAN)
static void zbesj_(double*, double*, double*, int*, int*, double*,
double*, int*, int*)
{
Message::Fatal("Bessel functions require Fortran compiler");
}
static void zbesy_(double*, double*, double*, int*, int*, double*,
double*, int*, double*, double*, int*)
{
Message::Fatal("Bessel functions require Fortran compiler");
}
static void zbesh_(double*, double*, double*, int*, int*, int*,
double*, double*, int*, int*)
{
Message::Fatal("Bessel functions require Fortran compiler");
}
#else
#if defined(HAVE_UNDERSCORE)
#define zbesj_ zbesj
#define zbesy_ zbesy
#define zbesh_ zbesh
#endif
extern "C" {
void zbesj_(double*, double*, double*, int*, int*, double*,
double*, int*, int*);
void zbesy_(double*, double*, double*, int*, int*, double*,
double*, int*, double*,
double*, int*);
void zbesh_(double*, double*, double*, int*, int*, int*, double*,
double*, int*, int*);
}
#endif
static int BesselError(int ierr, const char *str)
{
static int warn=0;
switch(ierr){
case 0 :
return 0;
case 1 :
Message::Error("Input error in %s", str);
return BESSEL_ERROR_INPUT;
case 2 :
return BESSEL_OVERFLOW;
case 3 :
if(!warn){
Message::Info("Half machine accuracy lost in %s (large argument or order)", str);
warn = 1;
}
return BESSEL_HALF_ACCURACY;
case 4 :
Message::Error("Complete loss of significance in %s (argument or order too large)", str);
return BESSEL_NO_ACCURACY;
case 5 :
Message::Error("Failed to converge in %s", str);
return BESSEL_NO_CONVERGENCE;
default:
Message::Info("Unknown Bessel status in %s (%d)", str, ierr);
return ierr;
}
}
// First kind Bessel functions
int BesselJn(double n, int num, double x, double *val)
{
int nz = 0, ierr = 0, kode = 1;
double xi = 0.0;
double* ji = new double[num];
zbesj_(&x, &xi, &n, &kode, &num, val, ji, &nz, &ierr) ;
delete[] ji;
return BesselError(ierr, "BesselJn");
}
int BesselJnComplex(double n, int num, double xr, double xi, double *valr, double *vali)
{
int nz = 0, ierr = 0, kode = 1;
zbesj_(&xr, &xi, &n, &kode, &num, valr, vali, &nz, &ierr) ;
return BesselError(ierr, "BesselJnComplex");
}
int BesselSphericalJn(double n, int num, double x, double *val)
{
int ierr = BesselJn(n+0.5, num, x, val);
double coef = sqrt(0.5*M_PI/x);
for(int i = 0; i < num; i++){
val[i] *= coef;
}
return BesselError(ierr, "BesselSphericalJn");
}
int BesselAltSphericalJn(double n, int num, double x, double *val)
{
int ierr = BesselJn(n+0.5, num, x, val);
double coef = sqrt(0.5*M_PI*x);
for(int i = 0; i < num; i++){
val[i] *= coef;
}
return BesselError(ierr, "BesselAltSphericalJn");
}
// Second kind Bessel functions
int BesselYn(double n, int num, double x, double *val)
{
int nz = 0, ierr = 0, kode = 1;
double xi = 0.0;
double* yi = new double[num];
double* auxyr = new double[num];
double* auxyi = new double[num];
zbesy_(&x, &xi, &n, &kode, &num, val, yi, &nz, auxyr, auxyi, &ierr);
delete[] yi;
delete[] auxyr;
delete[] auxyi;
return BesselError(ierr, "BesselYn");
}
int BesselSphericalYn(double n, int num, double x, double *val)
{
int ierr = BesselYn(n+0.5, num, x, val);
double coef = sqrt(0.5*M_PI/x);
for(int i = 0; i < num; i++){
val[i] *= coef;
}
return BesselError(ierr, "BesselSphericalYn");
}
int BesselAltSphericalYn(double n, int num, double x, double *val)
{
int ierr = BesselYn(n+0.5, num, x, val);
double coef = sqrt(0.5*M_PI*x);
for(int i = 0; i < num; i++){
val[i] *= coef;
}
return BesselError(ierr, "BesselAltSphericalYn");
}
// Hankel functions (type = 1 or 2)
int BesselHn(int type, double n, int num, double x, std::complex<double> *val)
{
int nz = 0, ierr = 0, kode = 1;
double* hr = new double[num];
double* hi = new double[num];
double xi = 0.0;
zbesh_(&x, &xi, &n, &kode, &type, &num, hr, hi, &nz, &ierr);
for(int i=0; i < num; i++){
val[i] = std::complex<double>(hr[i], hi[i]);
}
delete[] hr;
delete[] hi;
return BesselError(ierr, "BesselHn");
}
int BesselSphericalHn(int type, double n, int num, double x, std::complex<double> *val)
{
int ierr = BesselHn(type, n+0.5, num, x, val);
double coef = sqrt(0.5*M_PI/x);
for(int i = 0; i < num; i++){
val[i] *= coef;
}
return BesselError(ierr, "BesselSphericalHn");
}
int BesselAltSphericalHn(int type, double n, int num, double x, std::complex<double> *val)
{
int ierr = BesselHn(type, n+0.5, num, x, val);
double coef = sqrt(0.5*M_PI*x);
for(int i = 0; i < num; i++){
val[i] *= coef;
}
return BesselError(ierr, "BesselAltSphericalHn");
}
// Utilities for backward compatibility
double Spherical_j_n(int n, double x)
{
double res;
BesselSphericalJn(n, 1, x, &res);
return res;
}
double AltSpherical_j_n(int n, double x)
{
double res;
BesselAltSphericalJn(n, 1, x, &res);
return res;
}
double Spherical_y_n(int n, double x)
{
double res;
BesselSphericalYn(n, 1, x, &res);
return res;
}
double AltSpherical_y_n(int n, double x)
{
double res;
BesselAltSphericalYn(n, 1, x, &res);
return res;
}
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