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/* This file is a collection of wrappers around the
* Amos Fortran library of functions that take complex
* variables (see www.netlib.org) so that they can be called from
* the cephes library of corresponding name but work with complex
* arguments.
*/
#include "amos_wrappers.h"
#define CADDR(z) (double *)(&((z).real)), (double*)(&((z).imag))
#define F2C_CST(z) (double *)&((z)->real), (double *)&((z)->imag)
#if defined(NO_APPEND_FORTRAN)
#if defined(UPPERCASE_FORTRAN)
#define F_FUNC(f,F) F
#else
#define F_FUNC(f,F) f
#endif
#else
#if defined(UPPERCASE_FORTRAN)
#define F_FUNC(f,F) F##_
#else
#define F_FUNC(f,F) f##_
#endif
#endif
extern int F_FUNC(zairy,ZAIRY)
(double*, double*, int*, int*, double*, double*, int*, int*);
extern int F_FUNC(zbiry,ZBIRY)
(double*, double*, int*, int*, double*, double*, int*, int*);
extern int F_FUNC(zbesi,ZBESI)
(double*, double*, double*, int*, int*, double*, double*, int*, int*);
extern int F_FUNC(zbesj,ZBESJ)
(double*, double*, double*, int*, int*, double*, double*, int*, int*);
extern int F_FUNC(zbesk,ZBESK)
(double*, double*, double*, int*, int*, double*, double*, int*, int*);
extern int F_FUNC(zbesy,ZBESY)
(double*, double*, double*, int*, int*, double*, double*, int*, double*, double*, int*);
extern int F_FUNC(zbesh,ZBESH)
(double*, double*, double*, int*, int*, int*, double*, double*, int*, int*);
/* This must be linked with fortran
*/
int ierr_to_mtherr( int nz, int ierr) {
/* Return mtherr equivalents for ierr values */
if (nz != 0) return UNDERFLOW;
switch (ierr) {
case 1:
return DOMAIN;
case 2:
return OVERFLOW;
case 3:
return PLOSS;
case 4:
return TLOSS;
case 5: /* Algorithm termination condition not met */
return TLOSS;
}
return -1;
}
static Py_complex
rotate(Py_complex z, double v)
{
Py_complex w;
double c = cos(v * M_PI);
double s = sin(v * M_PI);
w.real = z.real*c - z.imag*s;
w.imag = z.real*s + z.imag*c;
return w;
}
int cairy_wrap(Py_complex z, Py_complex *ai, Py_complex *aip, Py_complex *bi, Py_complex *bip) {
int id = 0;
int ierr = 0;
int kode = 1;
int nz;
F_FUNC(zairy,ZAIRY)(CADDR(z), &id, &kode, F2C_CST(ai), &nz, &ierr);
DO_MTHERR("airy:");
F_FUNC(zbiry,ZBIRY)(CADDR(z), &id, &kode, F2C_CST(bi), &nz, &ierr);
DO_MTHERR("airy:");
id = 1;
F_FUNC(zairy,ZAIRY)(CADDR(z), &id, &kode, F2C_CST(aip), &nz, &ierr);
DO_MTHERR("airy:");
F_FUNC(zbiry,ZBIRY)(CADDR(z), &id, &kode, F2C_CST(bip), &nz, &ierr);
DO_MTHERR("airy:");
return 0;
}
int cairy_wrap_e(Py_complex z, Py_complex *ai, Py_complex *aip, Py_complex *bi, Py_complex *bip) {
int id = 0;
int kode = 2; /* Exponential scaling */
int nz, ierr;
F_FUNC(zairy,ZAIRY)(CADDR(z), &id, &kode, F2C_CST(ai), &nz, &ierr);
DO_MTHERR("airye:");
F_FUNC(zbiry,ZBIRY)(CADDR(z), &id, &kode, F2C_CST(bi), &nz, &ierr);
DO_MTHERR("airye:");
id = 1;
F_FUNC(zairy,ZAIRY)(CADDR(z), &id, &kode, F2C_CST(aip), &nz, &ierr);
DO_MTHERR("airye:");
F_FUNC(zbiry,ZBIRY)(CADDR(z), &id, &kode, F2C_CST(bip), &nz, &ierr);
DO_MTHERR("airye:");
return 0;
}
Py_complex cbesi_wrap( double v, Py_complex z) {
int n = 1;
int kode = 1;
int nz, ierr;
Py_complex cy;
if (v < 0) {
v = -v;
}
F_FUNC(zbesi,ZBESI)(CADDR(z), &v, &kode, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("iv:");
return cy;
}
Py_complex cbesi_wrap_e( double v, Py_complex z) {
int n = 1;
int kode = 2;
int nz, ierr;
Py_complex cy;
if (v < 0) {
v = -v;
}
F_FUNC(zbesi,ZBESI)(CADDR(z), &v, &kode, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("ive:");
return cy;
}
Py_complex cbesj_wrap( double v, Py_complex z) {
int n = 1;
int kode = 1;
int nz, ierr;
int sign = 1;
Py_complex cy;
if (v < 0) {
v = -v;
sign = -1;
}
F_FUNC(zbesj,ZBESJ)(CADDR(z), &v, &kode, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("jv:");
if (sign == -1) {
cy = rotate(cy, v);
}
return cy;
}
Py_complex cbesj_wrap_e( double v, Py_complex z) {
int n = 1;
int kode = 2;
int nz, ierr;
int sign = 1;
Py_complex cy;
if (v < 0) {
v = -v;
sign = -1;
}
F_FUNC(zbesj,ZBESJ)(CADDR(z), &v, &kode, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("jve:");
if (sign == -1) {
cy = rotate(cy, v);
}
return cy;
}
Py_complex cbesy_wrap( double v, Py_complex z) {
int n = 1;
int kode = 1;
int nz, ierr;
int sign = 1;
Py_complex cy, cwork;
if (v < 0) {
v = -v;
sign = -1;
}
F_FUNC(zbesy,ZBESY)(CADDR(z), &v, &kode, &n, CADDR(cy), &nz, CADDR(cwork), &ierr);
DO_MTHERR("yv:");
if (sign == -1) {
cy = rotate(cy, v);
}
return cy;
}
Py_complex cbesy_wrap_e( double v, Py_complex z) {
int n = 1;
int kode = 2;
int nz, ierr;
int sign = 1;
Py_complex cy, cwork;
if (v < 0) {
v = -v;
sign = -1;
}
F_FUNC(zbesy,ZBESY)(CADDR(z), &v, &kode, &n, CADDR(cy), &nz, CADDR(cwork), &ierr);
DO_MTHERR("yve:");
if (sign == -1) {
cy = rotate(cy, v);
}
return cy;
}
Py_complex cbesk_wrap( double v, Py_complex z) {
int n = 1;
int kode = 1;
int nz, ierr;
Py_complex cy;
if (v < 0) {
v = -v;
}
F_FUNC(zbesk,ZBESK)(CADDR(z), &v, &kode, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("kv:");
return cy;
}
Py_complex cbesk_wrap_e( double v, Py_complex z) {
int n = 1;
int kode = 2;
int nz, ierr;
Py_complex cy;
if (v < 0) {
v = -v;
}
F_FUNC(zbesk,ZBESK)(CADDR(z), &v, &kode, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("kve:");
return cy;
}
Py_complex cbesh_wrap1( double v, Py_complex z) {
int n = 1;
int kode = 1;
int m = 1;
int nz, ierr;
int sign = 1;
Py_complex cy;
if (v < 0) {
v = -v;
sign = -1;
}
F_FUNC(zbesh,ZBESH)(CADDR(z), &v, &kode, &m, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("hankel1:");
if (sign == -1) {
cy = rotate(cy, v);
}
return cy;
}
Py_complex cbesh_wrap1_e( double v, Py_complex z) {
int n = 1;
int kode = 2;
int m = 1;
int nz, ierr;
int sign = 1;
Py_complex cy;
if (v < 0) {
v = -v;
sign = -1;
}
F_FUNC(zbesh,ZBESH)(CADDR(z), &v, &kode, &m, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("hankel1e:");
if (sign == -1) {
cy = rotate(cy, v);
}
return cy;
}
Py_complex cbesh_wrap2( double v, Py_complex z) {
int n = 1;
int kode = 1;
int m = 2;
int nz, ierr;
int sign = 1;
Py_complex cy;
if (v < 0) {
v = -v;
sign = -1;
}
F_FUNC(zbesh,ZBESH)(CADDR(z), &v, &kode, &m, &n, CADDR(cy), &nz, &ierr);
F_FUNC(zbesh,ZBESH)(CADDR(z), &v, &kode, &m, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("hankel2:");
if (sign == -1) {
cy = rotate(cy, -v);
}
return cy;
}
Py_complex cbesh_wrap2_e( double v, Py_complex z) {
int n = 1;
int kode = 2;
int m = 2;
int nz, ierr;
int sign = 1;
Py_complex cy;
if (v < 0) {
v = -v;
sign = -1;
}
F_FUNC(zbesh,ZBESH)(CADDR(z), &v, &kode, &m, &n, CADDR(cy), &nz, &ierr);
F_FUNC(zbesh,ZBESH)(CADDR(z), &v, &kode, &m, &n, CADDR(cy), &nz, &ierr);
DO_MTHERR("hankel2e:");
if (sign == -1) {
cy = rotate(cy, -v);
}
return cy;
}
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