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Ppfac for the "new" B-coefficient 

Former-commit-id: aea661c0419d2b619e79044960728a225a7f7132
This commit is contained in:
Marek Nečada 2018-04-26 11:13:15 +03:00
parent 16241b6556
commit e3713d61a3
1 changed files with 7 additions and 2 deletions
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9
qpms/translations.c
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@ -477,7 +477,7 @@ static void qpms_trans_calculator_multipliers_A_general(
int Pp_order = mu - m;
assert(p >= abs(Pp_order));
double a1q_n = a1q[q] / a1q0;
// Assuming non_normalized legendre polynomials!
// Assuming non_normalized legendre polynomials (normalisation done here by hand)!
double Ppfac = (Pp_order >= 0) ? 1 :
min1pow(mu-m) * exp(lgamma(1+p+Pp_order)-lgamma(1+p-Pp_order));
double summandfac = (n*(n+1) + nu*(nu+1) - p*(p+1)) * min1pow(q) * a1q_n;
@ -521,11 +521,16 @@ void qpms_trans_calculator_multipliers_B_general(
for(int q = BQ_OFFSET; q <= Qmax; ++q) {
int p = n+nu-2*q;
int Pp_order = mu - m;
// Assuming non-normalised Legendre polynomials, normalise here by hand.
// Ppfac_ differs from Ppfac in the A-case by the substitution p->p+1
double Ppfac_ = (Pp_order >= 0)? 1 :
min1pow(mu-m) * exp(lgamma(1+1+p+Pp_order)-lgamma(1+1+p-Pp_order));
double t = sqrt(
(isq(p+1)-isq(n-nu))
* (isq(n+nu+1)-isq(p+1))
);
dest[q-BQ_OFFSET] = presum * t
dest[q-BQ_OFFSET] = presum * t * Ppfac_
* cruzan_bfactor(-m,n,mu,nu,p) * ipow(p+1);
}
}