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reg3:: improved the comments, also prepared for ideal

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Zeno Rogue
2019-10-10 13:15:43 +02:00
parent 57a8c93a82
commit da4846f216
1 changed files with 47 additions and 25 deletions
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64
reg3.cpp
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@@ -65,6 +65,7 @@ EX namespace reg3 {
loop = ginf[geometry].tiling_name[5] - '0';
println(hlog, "face = ", face, " loop = ", loop, " S7 = ", S7);
/* dual_angle : the angle between two face centers in the dual cell */
ld dual_angle = binsearch(0, M_PI, [&] (ld d) {
hyperpoint h0 = cpush(0, 1) * C0;
hyperpoint h1 = cspin(0, 1, d) * h0;
@@ -72,7 +73,8 @@ EX namespace reg3 {
return hdist(h0, h1) > hdist(h1, h2);
});
ld dodecahedron_angle = binsearch(0, M_PI, [&] (ld d) {
/* angle_between_faces : the distance between two face centers of cells */
ld angle_between_faces = binsearch(0, M_PI, [&] (ld d) {
hyperpoint h0 = cpush(0, 1) * C0;
hyperpoint h1 = cspin(0, 1, d) * h0;
hyperpoint h2 = cspin(1, 2, 2*M_PI/face) * h1;
@@ -87,7 +89,7 @@ EX namespace reg3 {
dual_angle = hdist(h1, h2);
}
println(hlog, "dodecahedron angle = ", dodecahedron_angle);
println(hlog, "angle between faces = ", angle_between_faces);
println(hlog, "dual angle = ", dual_angle);
ld inp_length = binsearch(0, 1.55, [&] (ld d) {
@@ -102,60 +104,80 @@ EX namespace reg3 {
if(S7 == 8) edge_length = hdist(normalize(hpxyz3(1,1,0,0)), normalize(hpxyz3(1,0,1,0)));
println(hlog, "edge length = ", edge_length);
hyperpoint h0 = cpush(0, 1) * C0;
hyperpoint h1 = cspin(0, 1, dodecahedron_angle) * h0;
/* frontal face direction */
hyperpoint h0 = xtangent(1);
/* three faces adjacent to frontal face direction */
hyperpoint h1 = cspin(0, 1, angle_between_faces) * h0;
hyperpoint h2 = cspin(1, 2, 2*M_PI/face) * h1;
hyperpoint h3 = cspin(1, 2, -2*M_PI/face) * h1;
hyperpoint a2 = S7 == 8 ? normalize(h1 + h2) : normalize(h0 + h1 + h2);
hyperpoint a3 = S7 == 8 ? normalize(h1 + h3) : normalize(h0 + h1 + h3);
/* directions of vertices [h0,h1,h2] and [h0,h1,h3] */
hyperpoint dir_v2 = S7 == 8 ? (h1 + h2) : (h0 + h1 + h2);
hyperpoint dir_v3 = S7 == 8 ? (h1 + h3) : (h0 + h1 + h3);
println(hlog, "dir_v2 = ", dir_v2);
println(hlog, "dir_v3 = ", dir_v3);
dir_v2 = tangent_length(dir_v2, 1);
dir_v3 = tangent_length(dir_v3, 1);
println(hlog, "S7 = ", S7);
println(hlog, "dir_v2 = ", dir_v2);
println(hlog, "dir_v3 = ", dir_v3);
ld whereonline = binsearch(0, 5, [&] (ld d) {
/* the distance from cell center to cell vertex */
ld vertex_distance;
if(cgflags & qIDEAL) {
vertex_distance = 10;
}
else {
vertex_distance = binsearch(0, M_PI, [&] (ld d) {
// sometimes breaks in elliptic
dynamicval<eGeometry> g(geometry, elliptic ? gCell120 : geometry);
hyperpoint z2 = a2 * d + C0 * (1-d);
if(hyperbolic && intval(z2, Hypc) >= 0) return true;
hyperpoint b2 = normalize(z2);
hyperpoint z3 = a3 * d + C0 * (1-d);
hyperpoint b3 = normalize(z3);
return hdist(b2, b3) >= edge_length;
hyperpoint v2 = direct_exp(dir_v2 * d, iTable);
hyperpoint v3 = direct_exp(dir_v3 * d, iTable);
return hdist(v2, v3) >= edge_length;
});
}
println(hlog, "whereonline = ", whereonline);
a2 = normalize(a2 * whereonline + C0 * (1-whereonline));
a3 = normalize(a3 * whereonline + C0 * (1-whereonline));
println(hlog, "vertex_distance = ", vertex_distance);
/* actual vertex */
hyperpoint v2 = direct_exp(dir_v2 * vertex_distance, iTable);
hyperpoint mid = Hypc;
for(int i=0; i<face; i++) mid += cspin(1, 2, 2*i*M_PI/face) * a2;
for(int i=0; i<face; i++) mid += cspin(1, 2, 2*i*M_PI/face) * v2;
mid = normalize(mid);
ld between_centers = 2 * hdist0(mid);
println(hlog, "between_centers = ", between_centers);
if(S7 == 12 || S7 == 8) {
spins[0] = Id;
spins[1] = cspin(0, 1, dodecahedron_angle) * cspin(1, 2, M_PI);
spins[1] = cspin(0, 1, angle_between_faces) * cspin(1, 2, M_PI);
for(int a=2; a<face+1; a++) spins[a] = cspin(1, 2, 2*M_PI*(a-1)/face) * spins[1];
for(int a=S7/2; a<S7; a++) spins[a] = cspin(0, 1, M_PI) * spins[a-S7/2];
}
if(S7 == 6) {
spins[0] = Id;
spins[1] = cspin(0, 1, dodecahedron_angle) * cspin(1, 2, M_PI);
spins[1] = cspin(0, 1, angle_between_faces) * cspin(1, 2, M_PI);
spins[2] = cspin(1, 2, M_PI/2) * spins[1];
for(int a=S7/2; a<S7; a++) spins[a] = spins[a-S7/2] * cspin(0, 1, M_PI);
}
if(S7 == 4) {
spins[0] = Id;
spins[1] = cspin(0, 1, dodecahedron_angle) * cspin(1, 2, M_PI);
spins[1] = cspin(0, 1, angle_between_faces) * cspin(1, 2, M_PI);
for(int a=2; a<face+1; a++) spins[a] = cspin(1, 2, 2*M_PI*(a-1)/face) * spins[1];
}
cellshape.clear();
for(int a=0; a<S7; a++)
for(int b=0; b<face; b++)
cellshape.push_back(spins[a] * cspin(1, 2, 2*M_PI*b/face) * a2);
cellshape.push_back(spins[a] * cspin(1, 2, 2*M_PI*b/face) * v2);
adjmoves[0] = cpush(0, between_centers) * cspin(0, 2, M_PI);
for(int i=1; i<S7; i++) adjmoves[i] = spins[i] * adjmoves[0];