jxTce@ sdZddlmZddlmZejdddddd d d d d ddddddddddddddddddd d!d"d#d$d%d&d'd(d)d*d+d,d-d.d/d0d1d2d3d4d5d6d7d8d9d:d;d<d=d>d?d@dAdBdCdDdEdFdGdHdIdJdKdLdMdNdOdPdQdRdSdTdUdVdWdXdYdZd[d\d]d^d_d`dadbdcdddedfdggdZejdhdidjdkdldmdndodpdqdrdsdtdudvdwdxdydzd{d|d}d~dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgdZejdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd d d d d ddddddddddddddddddd d!d"d#d$d%d&d'd(d)d*d+d,d-d.d/gdZd0S(1so Below are flex arrays with x,y,z points for numerical integration on a sphere with unit weights, a so called spherical t-design The design implemented below contains 100 points and provides exact integrals over the surface for polynomial functions on that sphere up to order 13. The design has been taken from http://www2.research.att.com/~njas/sphdesigns/dim3/ i(tdivision(tflexgh?g4G=g}igm (gC[¸=?g*gqW=?g=K;?gJV=gr7?g5K?gƊgm?gUɿgpg |?gȃ?g=?g_d?gͩӿgVɿgNࢤӿg֣?g7gͅ^;sgT?.߿gN;s?g~ʿg7E.?gXʿgMv.?gܧ?gz.߿gU]?g`t;sg/\;s?gGI?g7j2?g NIg5E&?g_]ӿgE&?gMӿg E&Կg]?gE&ԿgLMI?gǬNIgᙔg<;O\cÿgmᙔ?gi}'?g(\c?g2&?gK\c?g(西g3\cÿgK(西gqᙔg bᙔ?g&0gq c?g $0?gˆȆXgJsycٿgVȆXgVcٿgȆX?gc?gBȆX?g0g0?gO_7?gWUfZ:gH_7gYO{gg /gZ:?gi]K{gg#^fZ:?g'd{g?gGfZ:gXZ{g?g_7?g@_7gPܰ?gE{?g뱛g|Xg{ҿg`izXg{ҿgvX?g` t{?ghhX?gZѼ?g(E&?gpMI?gE&?gR?g$IIgǦPӿg EI?g[_!?gLMIg7j2ӿgiYE&Կg. E&Կg%?gᙔgC&?g[\cÿg`%ᙔ?g\c?g`%ᙔgq0\cÿg/ᙔ?g!N\c?g&西g/'西gXwȆXgl0g.ȆXgoc?gl0?gpcٿgЈ"0gQc?g0?gcٿg~ȆX?g\ȆX?g$F{gg_7?g;{ggfZ:g_7g[fZ:?g _7?gRfZ:g _7gGfZ:?gV{g?gmnB{g?gXg?g XgiZ{?gg {ҿg?g{?gg|{ҿgzX?gb s<<