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reg3:: bch_subcubes:: Voronoi vertices
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48
reg3.cpp
48
reg3.cpp
@ -355,12 +355,48 @@ EX namespace reg3 {
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cgi.subshapes.emplace_back();
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auto &ss = cgi.subshapes.back();
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auto pt = [&] (ld x, ld y, ld z) {
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auto pt0 = [&] (const array<ld, 3>& x) {
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transmatrix M = Id;
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if(x > di[0].limit) x = -x, M = di[0].mirror * M;
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if(y > di[1].limit) y = -y, M = di[1].mirror * M;
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if(z > di[2].limit) z = -z, M = di[2].mirror * M;
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return normalize(M * (ctr + di[0].dir * x + di[1].dir * y + di[2].dir * z));
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hyperpoint res = ctr;
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for(int i=0; i<3; i++) {
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ld xx = x[i];
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if(xx > di[i].limit) xx = 2*di[i].limit-xx, M = di[i].mirror * M;
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res += di[i].dir * xx;
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}
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return normalize(M * res);
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};
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auto pt = [&] (ld x, ld y, ld z) {
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if(sub == 1 || !bch || sphere) return pt0(make_array(x,y,z));
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// Unfortunately using the rule above for bch (with sub > 1) generates faces which are not flat.
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// Therefore, we replace the vertices by the centers of their Voronoi cells
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// we do this only in the hyperbolic case -- it does not work correctly in the spherical case because of Voronoi not working as expected
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// the arguments for pt1 are the Voronoi centers for: (x,y,z) = (1,.5,0)
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// pt1 rearranges them to whatever (x,y,z) actually is
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array<ld, 3> arg1 = {x, y, z};
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auto pt1 = [&] (ld x1, ld y1, ld z1) {
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array<ld, 3> arg0;
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for(int i=0; i<3; i++) {
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println(hlog, "value is ", arg1[i]);
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if(arg1[i] == 1) arg0[i] = x1;
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else if(arg1[i] == -1) arg0[i] = -x1;
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else if(arg1[i] == .5) arg0[i] = y1;
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else if(arg1[i] == -.5) arg0[i] = -y1;
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else if(arg1[i] == 0) arg0[i] = z1;
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else throw hr_exception("unknown number in pt1");
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}
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return normalize(pt0(arg0));
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};
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hyperpoint a = pt1(0,0,0);
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hyperpoint b = pt1(2,0,0);
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hyperpoint c = pt1(1,1,1);
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hyperpoint d = pt1(1,1,-1);
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hyperpoint res = circumscribe(a, b, c, d);
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return res;
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};
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auto add_face = [&] (std::initializer_list<hyperpoint> vh) {
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@ -450,7 +486,7 @@ EX namespace reg3 {
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}
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vector<transmatrix> vertex_dirs;
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hyperpoint pter = normalize(pt(-.5,-.5,-.5));
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hyperpoint pter = normalize(pt0(make_array(-.5,-.5,-.5)));
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for(auto& F: face_dirs) for(auto& P: spi_power) {
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transmatrix T = F * P;
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bool fnd = false;
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