[dirty dipoles] few long-range hankel transforms rewriten from mathematica
Former-commit-id: 2554e2f670bd9e405210d3e2f62596b2295b0b7d
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Marek Nečada
parent
0e302d53a1
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85b881b1d6
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#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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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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// 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) {
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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 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) {
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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 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) {
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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 fk5q2n0l(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) {
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return 0; // FIXME
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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) {
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return ( 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) {
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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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#if 0
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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) {
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return (p[0]-5*p[1]+10*p[2]-10*p[3]+5*p[4]-p[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) {
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return ;
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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) {
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return ;
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}
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complex double fk5q2n0s(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) {
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return ;
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}
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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) {
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return ;
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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) {
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return ;
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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},{NULL,NULL,NULL},
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{NULL,NULL,NULL},{NULL,NULL,NULL},{NULL,NULL,NULL},
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{NULL,NULL,NULL},{NULL,NULL,NULL},{NULL,NULL,NULL},
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{NULL,NULL,NULL},{NULL,NULL,NULL},{NULL,NULL,NULL},
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{NULL,NULL,NULL},{NULL,NULL,NULL},{NULL,NULL,NULL},
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{TODO,TODO,TODO},{TODO,TODO,TODO},{TODO,TODO,TODO}
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};
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#endif
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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},{fk5q2n0l/*FIXME*/,fk5q2n1l,fk5q2n2l}}
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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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