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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 <math.h>
#include <complex>
#include "ProData.h"
#include "F.h"
#include "MallocUtils.h"
#include "Message.h"
#include "Bessel.h"
extern struct CurrentData Current ;
/* ------------------------------------------------------------------------ */
/* C math functions (scalar, 1 argument, imaginary part set to zero) */
/* ------------------------------------------------------------------------ */
#define scalar_real_1_arg(func, string) \
int k; \
\
if(A->Type != SCALAR) \
Message::Error("Non scalar argument for function '" string "'"); \
if(Current.NbrHar > 1 && A->Val[MAX_DIM] != 0.) \
Message::Error("Function '" string "' only accepts real arguments");\
V->Val[0] = func(A->Val[0]) ; \
if (Current.NbrHar > 1){ \
V->Val[MAX_DIM] = 0. ; \
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2) \
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ; \
} \
V->Type = SCALAR;
void F_Floor (F_ARG) { scalar_real_1_arg (floor,"Floor") }
void F_Ceil (F_ARG) { scalar_real_1_arg (ceil, "Ceil") }
void F_Fabs (F_ARG) { scalar_real_1_arg (fabs, "Fabs") }
void F_Asin (F_ARG) { scalar_real_1_arg (asin, "Asin") }
void F_Acos (F_ARG) { scalar_real_1_arg (acos, "Acos") }
void F_Atan (F_ARG) { scalar_real_1_arg (atan, "Atan") }
void F_Atanh (F_ARG) { scalar_real_1_arg (atanh, "Atanh")}
#undef scalar_real_1_arg
/* ------------------------------------------------------------------------ */
/* C math functions (complex scalar, 1 argument) */
/* ------------------------------------------------------------------------ */
#define scalar_cmplx_1_arg(func, string) \
int k; \
std::complex<double> tmp; \
\
if(A->Type != SCALAR) \
Message::Error("Non scalar argument for function '" string "'"); \
\
switch(Current.NbrHar){ \
case 1: \
V->Val[0] = func(A->Val[0]) ; \
V->Val[MAX_DIM] = 0. ; \
break ; \
case 2: \
tmp = std::complex<double>(A->Val[0], A->Val[MAX_DIM]); \
tmp = func(tmp); \
V->Val[0] = std::real(tmp); \
V->Val[MAX_DIM] = std::imag(tmp); \
break; \
default: \
V->Val[MAX_DIM] = 0. ; \
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2) \
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ; \
} \
V->Type = SCALAR; \
void F_Exp (F_ARG) { scalar_cmplx_1_arg (exp, "Exp") }
void F_Log (F_ARG) { scalar_cmplx_1_arg (log, "Log") }
void F_Log10 (F_ARG) { scalar_cmplx_1_arg (log10,"Log10") }
void F_Sqrt (F_ARG) { scalar_cmplx_1_arg (sqrt, "Sqrt") }
void F_Sin (F_ARG) { scalar_cmplx_1_arg (sin, "Sin") }
void F_Cos (F_ARG) { scalar_cmplx_1_arg (cos, "Cos" ) }
void F_Tan (F_ARG) { scalar_cmplx_1_arg (tan, "Tan") }
void F_Sinh (F_ARG) { scalar_cmplx_1_arg (sinh, "Sinh") }
void F_Cosh (F_ARG) { scalar_cmplx_1_arg (cosh, "Cosh") }
void F_Tanh (F_ARG) { scalar_cmplx_1_arg (tanh, "Tanh") }
void F_Abs (F_ARG) { scalar_cmplx_1_arg (std::abs, "Abs") }
#undef scalar_cmplx_1_arg
/* ------------------------------------------------------------------------ */
/* C math functions (scalar, 2 arguments, imaginary part set to zero) */
/* ------------------------------------------------------------------------ */
#define scalar_real_2_arg(func, string) \
int k; \
\
if(A->Type != SCALAR || (A+1)->Type != SCALAR) \
Message::Error("Non scalar argument(s) for function '" string "'"); \
if(Current.NbrHar > 1 && (A->Val[MAX_DIM] != 0. || \
(A+1)->Val[MAX_DIM] != 0.)) \
Message::Error("Function '" string "' only accepts real arguments");\
\
V->Val[0] = func(A->Val[0], (A+1)->Val[0]) ; \
if (Current.NbrHar > 1){ \
V->Val[MAX_DIM] = 0. ; \
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2) \
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ; \
} \
V->Type = SCALAR;
void F_Atan2 (F_ARG) { scalar_real_2_arg (atan2, "Atan2") }
void F_Fmod (F_ARG) { scalar_real_2_arg (fmod, "Fmod") }
#undef scalar_real_2_arg
/* ------------------------------------------------------------------------ */
/* Sign function */
/* ------------------------------------------------------------------------ */
void F_Sign(F_ARG)
{
int k;
double x;
if(A->Type != SCALAR)
Message::Error("Non scalar argument for function 'Sign'");
x = A->Val[0];
if(x >= 0.)
V->Val[0] = 1.;
else if(x < 0.)
V->Val[0] = -1.;
else
V->Val[0] = 0.;
if (Current.NbrHar > 1){
V->Val[MAX_DIM] = 0. ;
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR;
}
/* ------------------------------------------------------------------------ */
/* Min, Max */
/* ------------------------------------------------------------------------ */
void F_Min(F_ARG)
{
int k;
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for function Min");
V->Val[0] = (A->Val[0] < (A+1)->Val[0]) ? A->Val[0] : (A+1)->Val[0];
if (Current.NbrHar > 1){
V->Val[MAX_DIM] = 0. ;
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR;
}
void F_Max(F_ARG)
{
int k;
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for function Max");
V->Val[0] = (A->Val[0] > (A+1)->Val[0]) ? A->Val[0] : (A+1)->Val[0];
if (Current.NbrHar > 1){
V->Val[MAX_DIM] = 0. ;
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR;
}
/* ------------------------------------------------------------------------ */
/* Bessel functions jn, yn and their derivatives */
/* ------------------------------------------------------------------------ */
void F_Jn(F_ARG)
{
int k, n;
double x;
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for Bessel function of the first kind 'Jn'");
n = (int)A->Val[0];
x = (A+1)->Val[0];
V->Val[0] = jn(n, x);
if (Current.NbrHar > 1){
V->Val[MAX_DIM] = 0. ;
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR;
}
void F_JnComplex(F_ARG)
{
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for Bessel function of the first kind 'JnComplex'");
int n = (int)A->Val[0];
double xr = (A+1)->Val[0];
double xi = (A+1)->Val[MAX_DIM];
double valr, vali;
BesselJnComplex(n, 1, xr, xi, &valr, &vali);
V->Val[0] = valr;
V->Val[MAX_DIM] = vali;
if (Current.NbrHar > 1){
for (int k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR;
}
void F_Yn(F_ARG)
{
int k, n;
double x;
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for Bessel function of the second 'Yn'");
n = (int)A->Val[0];
x = (A+1)->Val[0];
V->Val[0] = yn(n, x);
if (Current.NbrHar > 1){
V->Val[MAX_DIM] = 0. ;
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR;
}
double dBessel(double *tab, int n, double x)
{
if(n == 0){
return - tab[1];
}
else{
return tab[n-1] - (double)n/x * tab[n];
}
}
void F_dJn(F_ARG)
{
int k, n;
double x, *jntab;
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for the derivative of the Bessel "
"function of the first kind 'dJn'");
n = (int)A->Val[0];
x = (A+1)->Val[0];
jntab = (double*)Malloc((n + 2) * sizeof(double));
for(k = 0; k < n + 2; k++){
jntab[k] = jn(k, x);
}
V->Val[0] = dBessel(jntab, n, x);
Free(jntab);
if (Current.NbrHar > 1){
V->Val[MAX_DIM] = 0. ;
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR;
}
void F_dYn(F_ARG)
{
int k, n;
double x, *yntab;
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for the derivative of the Bessel "
"function of the second kind 'dYn'");
n = (int)A->Val[0];
x = (A+1)->Val[0];
yntab = (double*)Malloc((n + 2) * sizeof(double));
for(k = 0; k < n + 2; k++){
yntab[k] = yn(k, x);
}
V->Val[0] = dBessel(yntab, n, x);
Free(yntab);
if (Current.NbrHar > 1){
V->Val[MAX_DIM] = 0. ;
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR;
}
/* ------------------------------------------------------------------------ */
/* Spherical Bessel functions jn, yn and their derivatives */
/* ------------------------------------------------------------------------ */
void F_JnSph(F_ARG)
{
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for function 'JnSph' (spherical Bessel function)");
int n = (int)A->Val[0];
double x = (A+1)->Val[0];
V->Type = SCALAR;
V->Val[0] = Spherical_j_n(n, x);
}
void F_YnSph(F_ARG)
{
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for function 'YnSph' (spherical Bessel function)");
int n = (int)A->Val[0];
double x = (A+1)->Val[0];
V->Type = SCALAR;
V->Val[0] = Spherical_y_n(n, x);
}
void F_dJnSph(F_ARG)
{
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for function 'dJnSph' (derivative of spherical Bessel function)");
int n = (int)A->Val[0];
double x = (A+1)->Val[0];
V->Type = SCALAR;
V->Val[0] = (n/x) * Spherical_j_n(n, x) - Spherical_j_n(n+1, x);
}
void F_dYnSph(F_ARG)
{
if(A->Type != SCALAR || (A+1)->Type != SCALAR)
Message::Error("Non scalar argument(s) for function 'dYnSph' (derivative of spherical Bessel function)");
int n = (int)A->Val[0];
double x = (A+1)->Val[0];
V->Type = SCALAR;
V->Val[0] = (n/x) * Spherical_y_n(n, x) - Spherical_y_n(n+1, x);
}
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