219 lines
7.4 KiB
C
219 lines
7.4 KiB
C
#include "bessels.h"
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//#include "mdefs.h"
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#include <complex.h>
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#include <string.h>
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#define SQ(x) ((x)*(x))
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#define MAXQM 1
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#define MAXN 2
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#define MAXKAPPA 5
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#define FF (-1)
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typedef complex double (*lrhankelspec)(double, double, double,
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const complex double *,
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const complex double *,
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const complex double *,
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const complex double *,
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const complex double *);
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// complex double fun(double c, double k0, double k, ccd *a, ccd *b, ccd *d, ccd *e)
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complex double fk5q1n0l(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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return (FF*e[0]-5*e[1]+10*e[2]-10*e[3]+5*e[4]-e[5])/k0;
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}
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complex double fk5q1n1l(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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return (-FF*d[0]+5*d[1]-10*d[2]+10*d[3]-5*d[4]+d[5])/(k0*k);
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}
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complex double fk5q1n2l(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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double t = 2/(k*k);
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return ( (FF*e[0] - t*a[0] + FF*t*d[0]*a[0])
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-5 * (e[1] - t*a[1] + t*d[1]*a[1])
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+10 *(e[2] - t*a[2] + t*d[2]*a[2])
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-10 *(e[3] - t*a[3] + t*d[3]*a[3])
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+5 * (e[4] - t*a[4] + t*d[4]*a[4])
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- (e[5] - t*a[5] + t*d[5]*a[5])
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)/k0;
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}
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complex double fk5q1n3l(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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double kk3 = 3*k*k;
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return (
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- FF*d[0]*(kk3+4*a[0]*a[0])
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+ 5*d[1]*(kk3+4*a[1]*a[1])
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- 10*d[2]*(kk3+4*a[2]*a[2])
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+ 10*d[3]*(kk3+4*a[3]*a[3])
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- 5*d[4]*(kk3+4*a[4]*a[4])
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+ d[5]*(kk3+4*a[5]*a[5])
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)/(k0*k*k*k);
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}
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complex double fk5q2n0(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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return (
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- ash[0]
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+ 5 * ash[1]
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-10 * ash[2]
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+10 * ash[3]
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- 5 * ash[4]
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+ ash[5]
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) / (k0*k0);
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}
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complex double fk5q2n1l(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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return ( FF *b[0]*a[0]
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- 5 *b[1]*a[1]
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+10 *b[2]*a[2]
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-10 *b[3]*a[3]
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+ 5 *b[4]*a[4]
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- b[5]*a[5]
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)/(k*k0*k0);
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}
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complex double fk5q2n2l(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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return ( b[0]*a[0]*a[0]
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+ 5 * b[1]*a[1]*a[1]
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-10 * b[2]*a[2]*a[2]
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+10 * b[3]*a[3]*a[3]
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- 5 * b[4]*a[4]*a[4]
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+ b[5]*a[5]*a[5]
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) / (k*k*k0*k0);
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}
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complex double fk5q3n0l(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) { // FIXME
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return ( /* FIXME */
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- k*b[0] + a[0] * ash[0]
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+ 5 * k*b[1] + a[1] * ash[1]
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-10 * k*b[2] + a[2] * ash[2]
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+10 * k*b[3] + a[3] * ash[3]
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- 5 * k*b[4] + a[4] * ash[4]
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+ k*b[5] + a[5] * ash[5]
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)/(k0*k0*k0);
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}
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complex double fk5q1n0s(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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return (e[0]-5*e[1]+10*e[2]-10*e[3]+5*e[4]-e[5])/k0;
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}
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complex double fk5q1n1s(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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return (-d[0]+5*d[1]-10*d[2]+10*d[3]-5*d[4]+d[5])/(k0*k);
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}
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complex double fk5q1n2s(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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double t = 2/(k*k);
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return ( (e[0] - t*a[0] + t*d[0]*a[0])
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-5 * (e[1] - t*a[1] + t*d[1]*a[1])
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+10 *(e[2] - t*a[2] + t*d[2]*a[2])
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-10 *(e[3] - t*a[3] + t*d[3]*a[3])
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+5 * (e[4] - t*a[4] + t*d[4]*a[4])
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- (e[5] - t*a[5] + t*d[5]*a[5])
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)/k0;
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}
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complex double fk5q1n3s(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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double kk3 = 3*k*k;
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return (
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- d[0]*(kk3+4*a[0]*a[0])
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+ 5*d[1]*(kk3+4*a[1]*a[1])
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- 10*d[2]*(kk3+4*a[2]*a[2])
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+ 10*d[3]*(kk3+4*a[3]*a[3])
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- 5*d[4]*(kk3+4*a[4]*a[4])
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+ d[5]*(kk3+4*a[5]*a[5])
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)/(k0*k*k*k);
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}
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const lrhankelspec fk5q2n0s = fk5q2n0, fk5q2n0l = fk5q2n0;
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complex double fk5q2n1s(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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return ( FF *b[0]*a[0]
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- 5 *b[1]*a[1]
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+10 *b[2]*a[2]
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-10 *b[3]*a[3]
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+ 5 *b[4]*a[4]
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- b[5]*a[5]
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)/(k*k0*k0);
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}
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complex double fk5q2n2s(double c, double k0, double k,
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const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
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return ( FF * b[0]*a[0]*a[0]
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+ 5 * b[1]*a[1]*a[1]
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-10 * b[2]*a[2]*a[2]
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+10 * b[3]*a[3]*a[3]
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- 5 * b[4]*a[4]*a[4]
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+ b[5]*a[5]*a[5]
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) / (k*k*k0*k0);
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}
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static lrhankelspec transfuns_f[MAXKAPPA+1][MAXQM+1][MAXN+1] = {
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{fk5q1n0l,fk5q1n1l,fk5q1n2l},{fk5q2n0,fk5q2n1l,fk5q2n2l}}
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};
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static lrhankelspec transfuns_n[MAXKAPPA+1][MAXQM+1][MAXN+1] = {
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{NULL,NULL,NULL},{NULL,NULL,NULL}},
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{{fk5q1n0s,fk5q1n1s,fk5q1n2s},{fk5q2n0,fk5q2n1s,fk5q2n2s}}
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};
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void lrhankel_recpart_fill(complex double *target,
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size_t maxn, size_t lrk_cutoff,
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complex double *hct,
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unsigned kappa, double c, double k0, double k)
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{
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memset(target, 0, (maxn+1)*sizeof(complex double));
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complex double a[kappa+1], b[kappa+1], d[kappa+1], e[kappa+1];
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for (size_t sigma = 0; sigma <= kappa; ++sigma) {
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a[sigma] = (sigma * c - I * k0);
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b[sigma] = csqrt(1+k*k/(a[sigma]*a[sigma]));
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d[sigma] = 1/b[sigma];
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e[sigma] = d[sigma] / a[sigma];
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}
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}
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#include <stdio.h>
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int main() {
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double k0 = 0.7;
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double c = 0.1324;
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double kmin = 0.000;
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double kmax = 20;
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double kstep = 0.001;
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size_t kappa = 5;
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for (double k = kmin; k <= kmax; k += kstep) {
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printf("%f ", k);
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complex double a[kappa+1], b[kappa+1], d[kappa+1], e[kappa+1], ash[kappa+1];
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for (size_t sigma = 0; sigma <= kappa; ++sigma) {
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a[sigma] = (sigma * c - I * k0);
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b[sigma] = csqrt(1+k*k/(a[sigma]*a[sigma]));
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d[sigma] = 1/b[sigma];
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e[sigma] = d[sigma] / a[sigma];
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ash[sigma] = casinh(a[sigma]/k);
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}
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for (size_t qm = 0; qm <= MAXQM; ++qm)
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for (size_t n = 0; n <= MAXN; ++n)
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if (/*!*/((qm==1)&&(n==0))){ // not skip q==2, n=0 for now
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// complex double fun(double c, double k0, double k, ccd *a, ccd *b, ccd *d, ccd *e)
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complex double result =
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//transfuns_f[kappa][qm][n](c,k0,k,a,b,d,e,ash);
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fk5q1n3l(c,k0,k,a,b,d,e,ash);
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printf("%.16e %.16e ", creal(result), cimag(result));
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}
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printf("\n");
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}
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return 0;
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}
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