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Package ylmdec (in ylmdec.i) - compute Ylm coefficients using hex ray tracer

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DOCUMENT alm= accumulate(n, f, mesh, rcap, rtrack, pts, dylm, flux, nrpp) Do N batches (approximately rays_per_batch each, default 13000) of rays from file F, MESH = hydra_mesh(F), analyzing the symmetry of a capsule of radius RCAP (all rays tangent to this sphere), tracing the rays only down to radius RTRACK (>1.001*RCAP). This routine is designed to be called several times successively to get better statistics. PTS, DYLM, FLUX, and NRPP are all updated. PTS = unit vectors in directions of points on capsule surface defaults to bucky(3,1): 1280 points with an intrinsic fidelity of about 1% out to l=12 use bucky(4,1,domega), dylm= get_ylm(pts,lmax,list)*domega(-,..) to get 5120 points and intrinsic fidelity of about 0.2% at l=12 DYLM = ylm*domega for PTS FLUX = accumulated flux at each of PTS; units are power/area NRPP = accumulated number of rays per point of capsule surface ALM = 91 coefficients of Ylm up to l=12 corresponding to FLUX l= [0, 1,1, 2,2,2, 3,3,3,3, 4,4,4,4,4, ...] m= [0, 0,1, 0,1,2, 0,1,2,3, 0,1,2,3,4, ...]

DOCUMENT get_ylm(pts, lmax, list) returns values of Ylm at the 3-by-anything array of unit vectors PTS, for all l and m up to LMAX. The return value is (lmax+1)*(lmax+2)/2-by-anything. The LIST is also returned; its value is [1, 2,2, 3,3,3, 4,4,4,4, ..., LMAX+1,LMAX+1,...,LMAX+1] -- i copies of each integer i up to LMAX+1. This can be useful in conjunction with the histogram function; its values are l+1 for each element of the returned array's first index. The m values are [0, 0,1, 0,1,2, 0,1,2,3, 0,1,2,3,4, ...]. Negative m values are omitted, since they would be the conjugates of m>0. llist= list-1; mlist= (!list(dif))(cum)-(list-2)*(list-1)/2;