[dirty dipoles] případ q=2, n=0, kappa = 5

Former-commit-id: bb38eb950e9cf761588f4f2319816c79441ac8c0
This commit is contained in:
Marek Nečada 2018-01-22 23:46:11 +00:00
parent 274a6642c8
commit b19213343b
1 changed files with 44 additions and 58 deletions

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@ -14,20 +14,21 @@ typedef complex double (*lrhankelspec)(double, double, double,
const complex double *, const complex double *,
const complex double *, const complex double *,
const complex double *, const complex double *,
const complex double *,
const complex double *); const complex double *);
// complex double fun(double c, double k0, double k, ccd *a, ccd *b, ccd *d, ccd *e) // complex double fun(double c, double k0, double k, ccd *a, ccd *b, ccd *d, ccd *e)
complex double fk5q1n0l(double c, double k0, double k, complex double fk5q1n0l(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
return (FF*e[0]-5*e[1]+10*e[2]-10*e[3]+5*e[4]-e[5])/k0; return (FF*e[0]-5*e[1]+10*e[2]-10*e[3]+5*e[4]-e[5])/k0;
} }
complex double fk5q1n1l(double c, double k0, double k, complex double fk5q1n1l(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
return (-FF*d[0]+5*d[1]-10*d[2]+10*d[3]-5*d[4]+d[5])/(k0*k); return (-FF*d[0]+5*d[1]-10*d[2]+10*d[3]-5*d[4]+d[5])/(k0*k);
} }
complex double fk5q1n2l(double c, double k0, double k, complex double fk5q1n2l(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
double t = 2/(k*k); double t = 2/(k*k);
return ( (FF*e[0] - t*a[0] + FF*t*d[0]*a[0]) return ( (FF*e[0] - t*a[0] + FF*t*d[0]*a[0])
-5 * (e[1] - t*a[1] + t*d[1]*a[1]) -5 * (e[1] - t*a[1] + t*d[1]*a[1])
@ -37,12 +38,19 @@ complex double fk5q1n2l(double c, double k0, double k,
- (e[5] - t*a[5] + t*d[5]*a[5]) - (e[5] - t*a[5] + t*d[5]*a[5])
)/k0; )/k0;
} }
complex double fk5q2n0l(double c, double k0, double k, complex double fk5q2n0(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
return 0; // FIXME return (
- ash[0]
+ 5 * ash[1]
-10 * ash[2]
+10 * ash[3]
- 5 * ash[4]
+ ash[5]
) / (k0*k0);
} }
complex double fk5q2n1l(double c, double k0, double k, complex double fk5q2n1l(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
return ( FF *b[0]*a[0] return ( FF *b[0]*a[0]
- 5 *b[1]*a[1] - 5 *b[1]*a[1]
+10 *b[2]*a[2] +10 *b[2]*a[2]
@ -52,7 +60,7 @@ complex double fk5q2n1l(double c, double k0, double k,
)/(k*k0*k0); )/(k*k0*k0);
} }
complex double fk5q2n2l(double c, double k0, double k, complex double fk5q2n2l(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
return ( b[0]*a[0]*a[0] return ( b[0]*a[0]*a[0]
+ 5 * b[1]*a[1]*a[1] + 5 * b[1]*a[1]*a[1]
-10 * b[2]*a[2]*a[2] -10 * b[2]*a[2]*a[2]
@ -62,16 +70,29 @@ complex double fk5q2n2l(double c, double k0, double k,
) / (k*k*k0*k0); ) / (k*k*k0*k0);
} }
complex double fk5q3n0l(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) { // FIXME
return ( /* FIXME */
- k*b[0] + a[0] * ash[0]
+ 5 * k*b[1] + a[1] * ash[1]
-10 * k*b[2] + a[2] * ash[2]
+10 * k*b[3] + a[3] * ash[3]
- 5 * k*b[4] + a[4] * ash[4]
+ k*b[5] + a[5] * ash[5]
)/(k0*k0*k0);
}
complex double fk5q1n0s(double c, double k0, double k, complex double fk5q1n0s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
return (e[0]-5*e[1]+10*e[2]-10*e[3]+5*e[4]-e[5])/k0; return (e[0]-5*e[1]+10*e[2]-10*e[3]+5*e[4]-e[5])/k0;
} }
complex double fk5q1n1s(double c, double k0, double k, complex double fk5q1n1s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
return (-d[0]+5*d[1]-10*d[2]+10*d[3]-5*d[4]+d[5])/(k0*k); return (-d[0]+5*d[1]-10*d[2]+10*d[3]-5*d[4]+d[5])/(k0*k);
} }
complex double fk5q1n2s(double c, double k0, double k, complex double fk5q1n2s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
double t = 2/(k*k); double t = 2/(k*k);
return ( (e[0] - t*a[0] + t*d[0]*a[0]) return ( (e[0] - t*a[0] + t*d[0]*a[0])
-5 * (e[1] - t*a[1] + t*d[1]*a[1]) -5 * (e[1] - t*a[1] + t*d[1]*a[1])
@ -81,12 +102,11 @@ complex double fk5q1n2s(double c, double k0, double k,
- (e[5] - t*a[5] + t*d[5]*a[5]) - (e[5] - t*a[5] + t*d[5]*a[5])
)/k0; )/k0;
} }
complex double fk5q2n0s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { lrhankelspec fk5q2n0s = fk5q2n0, fk5q2n0l = fk5q2n0;
return 0; // FIXME
}
complex double fk5q2n1s(double c, double k0, double k, complex double fk5q2n1s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
return ( FF *b[0]*a[0] return ( FF *b[0]*a[0]
- 5 *b[1]*a[1] - 5 *b[1]*a[1]
+10 *b[2]*a[2] +10 *b[2]*a[2]
@ -96,7 +116,7 @@ complex double fk5q2n1s(double c, double k0, double k,
)/(k*k0*k0); )/(k*k0*k0);
} }
complex double fk5q2n2s(double c, double k0, double k, complex double fk5q2n2s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) { const complex double *a, const complex double *b, const complex double *d, const complex double *e, const complex double *ash) {
return ( FF * b[0]*a[0]*a[0] return ( FF * b[0]*a[0]*a[0]
+ 5 * b[1]*a[1]*a[1] + 5 * b[1]*a[1]*a[1]
-10 * b[2]*a[2]*a[2] -10 * b[2]*a[2]*a[2]
@ -106,49 +126,13 @@ complex double fk5q2n2s(double c, double k0, double k,
) / (k*k*k0*k0); ) / (k*k*k0*k0);
} }
#if 0
complex double fk5q1n0s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) {
return (p[0]-5*p[1]+10*p[2]-10*p[3]+5*p[4]-p[5])/k0;
}
complex double fk5q1n1s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) {
return ;
}
complex double fk5q1n2s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) {
return ;
}
complex double fk5q2n0s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) {
return ;
}
complex double fk5q2n1s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) {
return ;
}
complex double fk5q2n2s(double c, double k0, double k,
const complex double *a, const complex double *b, const complex double *d, const complex double *e) {
return ;
}
static lrhankelspec transfuns_n[MAXKAPPA+1][MAXQM+1][MAXN+1] = {
{NULL,NULL,NULL},{NULL,NULL,NULL},{NULL,NULL,NULL},
{NULL,NULL,NULL},{NULL,NULL,NULL},{NULL,NULL,NULL},
{NULL,NULL,NULL},{NULL,NULL,NULL},{NULL,NULL,NULL},
{NULL,NULL,NULL},{NULL,NULL,NULL},{NULL,NULL,NULL},
{NULL,NULL,NULL},{NULL,NULL,NULL},{NULL,NULL,NULL},
{TODO,TODO,TODO},{TODO,TODO,TODO},{TODO,TODO,TODO}
};
#endif
static lrhankelspec transfuns_f[MAXKAPPA+1][MAXQM+1][MAXN+1] = { static lrhankelspec transfuns_f[MAXKAPPA+1][MAXQM+1][MAXN+1] = {
{{NULL,NULL,NULL},{NULL,NULL,NULL}}, {{NULL,NULL,NULL},{NULL,NULL,NULL}},
{{NULL,NULL,NULL},{NULL,NULL,NULL}}, {{NULL,NULL,NULL},{NULL,NULL,NULL}},
{{NULL,NULL,NULL},{NULL,NULL,NULL}}, {{NULL,NULL,NULL},{NULL,NULL,NULL}},
{{NULL,NULL,NULL},{NULL,NULL,NULL}}, {{NULL,NULL,NULL},{NULL,NULL,NULL}},
{{NULL,NULL,NULL},{NULL,NULL,NULL}}, {{NULL,NULL,NULL},{NULL,NULL,NULL}},
{{fk5q1n0l,fk5q1n1l,fk5q1n2l},{fk5q2n0l/*FIXME*/,fk5q2n1l,fk5q2n2l}} {{fk5q1n0l,fk5q1n1l,fk5q1n2l},{fk5q2n0,fk5q2n1l,fk5q2n2l}}
}; };
static lrhankelspec transfuns_n[MAXKAPPA+1][MAXQM+1][MAXN+1] = { static lrhankelspec transfuns_n[MAXKAPPA+1][MAXQM+1][MAXN+1] = {
@ -157,7 +141,7 @@ static lrhankelspec transfuns_n[MAXKAPPA+1][MAXQM+1][MAXN+1] = {
{{NULL,NULL,NULL},{NULL,NULL,NULL}}, {{NULL,NULL,NULL},{NULL,NULL,NULL}},
{{NULL,NULL,NULL},{NULL,NULL,NULL}}, {{NULL,NULL,NULL},{NULL,NULL,NULL}},
{{NULL,NULL,NULL},{NULL,NULL,NULL}}, {{NULL,NULL,NULL},{NULL,NULL,NULL}},
{{fk5q1n0s,fk5q1n1s,fk5q1n2s},{fk5q2n0s/*FIXME*/,fk5q2n1s,fk5q2n2s}} {{fk5q1n0s,fk5q1n1s,fk5q1n2s},{fk5q2n0,fk5q2n1s,fk5q2n2s}}
}; };
void lrhankel_recpart_fill(complex double *target, void lrhankel_recpart_fill(complex double *target,
@ -186,19 +170,21 @@ int main() {
for (double k = kmin; k <= kmax; k += kstep) { for (double k = kmin; k <= kmax; k += kstep) {
printf("%f ", k); printf("%f ", k);
complex double a[kappa+1], b[kappa+1], d[kappa+1], e[kappa+1]; complex double a[kappa+1], b[kappa+1], d[kappa+1], e[kappa+1], ash[kappa+1];
for (size_t sigma = 0; sigma <= kappa; ++sigma) { for (size_t sigma = 0; sigma <= kappa; ++sigma) {
a[sigma] = (sigma * c - I * k0); a[sigma] = (sigma * c - I * k0);
b[sigma] = csqrt(1+k*k/(a[sigma]*a[sigma])); b[sigma] = csqrt(1+k*k/(a[sigma]*a[sigma]));
d[sigma] = 1/b[sigma]; d[sigma] = 1/b[sigma];
e[sigma] = d[sigma] / a[sigma]; e[sigma] = d[sigma] / a[sigma];
ash[sigma] = casinh(a[sigma]/k);
} }
for (size_t qm = 0; qm <= MAXQM; ++qm) for (size_t qm = 0; qm <= MAXQM; ++qm)
for (size_t n = 0; n <= MAXN; ++n) for (size_t n = 0; n <= MAXN; ++n)
if (!((qm==1)&&(n==0))){ // skip q==2, n=0 for now if (/*!*/((qm==1)&&(n==0))){ // not skip q==2, n=0 for now
// complex double fun(double c, double k0, double k, ccd *a, ccd *b, ccd *d, ccd *e) // complex double fun(double c, double k0, double k, ccd *a, ccd *b, ccd *d, ccd *e)
complex double result = complex double result =
transfuns_f[kappa][qm][n](c,k0,k,a,b,d,e); //transfuns_f[kappa][qm][n](c,k0,k,a,b,d,e,ash);
fk5q2n0s(c,k0,k,a,b,d,e,ash);
printf("%.16e %.16e ", creal(result), cimag(result)); printf("%.16e %.16e ", creal(result), cimag(result));
} }
printf("\n"); printf("\n");