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83 lines
2.4 KiB
C++
83 lines
2.4 KiB
C++
// test the conjecture comparing triangulation distances and hyperbolic distances
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namespace dhrg {
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ld stats[32][3], wstats[32][3];
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hyperpoint celltopoint(cell *c) {
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return tC0(calc_relative_matrix(c, croot(), C0));
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}
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void do_analyze_grid(int maxv) {
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cell *root = croot();
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celllister cl(root, 32, maxv, NULL);
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// if this works too slow, use a smaller number
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// (you can also use a larger number if you have time of course)
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// int rot = 0;
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vector<ld> distances[128];
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for(cell *c: cl.lst) {
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hyperpoint h = celltopoint(c);
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ld dd = hdist0(h);
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int d = celldist(c);
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stats[d][0] ++;
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stats[d][1] += dd;
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stats[d][2] += dd*dd;
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distances[d].push_back(dd);
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if(d>0) {
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ld alpha[2];
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int qalpha = 0;
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forCellCM(c2, c) if(celldist(c2) == d) {
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hyperpoint h1 = celltopoint(c2);
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alpha[qalpha++] = atan2(h1[0], h1[1]);
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}
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if(qalpha != 2) printf("Error: qalpha = %d\n", qalpha);
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ld df = alpha[0] - alpha[1];
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if(df<0) df = -df;
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while(df > 2*M_PI) df -= 2*M_PI;
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while(df > M_PI) df = 2*M_PI - df;
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df /= 4*M_PI;
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wstats[d][0] += df;
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if(d==2) printf("df == %" PLDF " dd = %" PLDF "\n", df, dd);
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wstats[d][1] += df*dd;
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wstats[d][2] += df*dd*dd;
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}
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}
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println(hlog, "log(gamma) = ", log(cgi.expansion->get_growth()));
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ld lE, dif, lwE;
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for(int d=0; d<32; d++) if(stats[d][0]) {
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int q = stats[d][0];
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if(q != cgi.expansion->get_descendants(d).approx_int()) continue;
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ld E = stats[d][1] / q;
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ld E2 = stats[d][2] / q;
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ld Vr = E2 - E * E;
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if(Vr < 0) Vr = 0;
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dif = E- lE; lE = E;
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ld Vd = d > 1 ? Vr/(d-1) : 0;
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ld wE = wstats[d][1];
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ld wE2 = wstats[d][2];
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ld wVr = wE2 - wE * wE;
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print(hlog, format("d=%2d: q = %8d E = %12.8" PLDF " dif = %12.8" PLDF " Vr = %12.8" PLDF " Vr/(d-1)=%12.8" PLDF,
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d, q, E, dif, Vr, Vd));
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if(0) print(hlog, format(" | <%" PLDF "> ex = %12.8" PLDF " d.ex = %12.8" PLDF " Vr = %12.8" PLDF, wstats[d][0], wE, wE - lwE, wVr));
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ld Sigma = sqrt(Vr);
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sort(distances[d].begin(), distances[d].end());
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if(Sigma) for(int u=1; u<8; u++)
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print(hlog, format(" %8.5" PLDF, (distances[d][u * isize(distances[d]) / 8] - E) / Sigma));
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println(hlog);
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lwE = wE;
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}
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}
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}
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