diff --git a/dipdip-dirty/bessels.c b/dipdip-dirty/bessels.c new file mode 100644 index 0000000..cd49680 --- /dev/null +++ b/dipdip-dirty/bessels.c @@ -0,0 +1,40 @@ +#include "bessels.h" +#include +#include + +static const double ln2 = 0.69314718055994531; + +#include + +// general; gives an array of size +complex double * hankelcoefftable_init(size_t maxn) { + complex double *hct = malloc((maxn+1)*(maxn+2)/2 * sizeof(complex double)); + for(size_t n = 0; n <= maxn; ++n) { + complex double *hcs = hankelcoeffs_get(hct,n); + for (size_t k = 0; k <= n; ++k) { + double lcoeff = lgamma(n+k+1) - lgamma(n-k+1) - lgamma(k+1) - k*ln2; + printf("%f, %.16f\n", lcoeff, exp(lcoeff)); + // for some reason, casting k-n to double does not work,so + // cpow (I, k-n-1) cannot be used... + complex double ifactor; + switch ((n+1-k) % 4) { + case 0: + ifactor = 1; + break; + case 1: + ifactor = -I; + break; + case 2: + ifactor = -1; + break; + case 3: + ifactor = I; + break; + } + // the result should be integer, so round to remove inaccuracies + hcs[k] = round(exp(lcoeff)) * ifactor; + } + } + return hct; +} + diff --git a/dipdip-dirty/bessels.h b/dipdip-dirty/bessels.h new file mode 100644 index 0000000..0553b17 --- /dev/null +++ b/dipdip-dirty/bessels.h @@ -0,0 +1,18 @@ +#ifndef BESSELS_H +#define BESSELS_H + +#include +#include + +complex double *hankelcoefftable_init(size_t maxn); + +// general, gives the offset such that result[k] is +// the coefficient corresponding to the e**(I * x) * x**(-k-1) +// term of the Hankel function; no boundary checks! +static inline complex double * +hankelcoeffs_get(complex double *hankelcoefftable, size_t n){ + return hankelcoefftable + n*(n+1)/2; +} + + +#endif //BESSELS_H