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PSL(2,R)

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Zeno Rogue
2019-08-24 11:55:45 +02:00
parent e0852419fc
commit 136b931609
21 changed files with 525 additions and 42 deletions
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46
polygons.cpp
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@@ -704,7 +704,7 @@ void geometry_information::make_wall(int id, vector<hyperpoint> vertices, vector
set_column(T, 1, vertices[1]);
set_column(T, 2, vertices[2]);
set_column(T, 3, C0);
if(det(T) < 0)
if(det(T) < 0 && !sl2)
reverse(vertices.begin(), vertices.end()),
reverse(weights.begin(), weights.end());
@@ -716,6 +716,8 @@ void geometry_information::make_wall(int id, vector<hyperpoint> vertices, vector
hyperpoint center = Hypc;
int n = isize(vertices);
bool triangles = n > 3 && hypot_d(MDIM, vertices[0] - vertices[3]) < 1e-5;
vector<ld> altitudes;
if(prod) {
altitudes.resize(n);
@@ -735,6 +737,7 @@ void geometry_information::make_wall(int id, vector<hyperpoint> vertices, vector
if(prod) for(int i=0; i<n; i++) center_altitude += altitudes[i] * weights[i] / w;
for(int a=0; a<n; a++) {
if(triangles) center = normalize(vertices[a/3*3] * 5 + vertices[a/3*3+1] + vertices[a/3*3+2]);
hyperpoint v1 = vertices[a] - center;
hyperpoint v2 = vertices[(a+1)%n] - center;
texture_order([&] (ld x, ld y) {
@@ -755,6 +758,7 @@ void geometry_information::make_wall(int id, vector<hyperpoint> vertices, vector
if(true) {
int STEP = vid.texture_step;
for(int a=0; a<n; a++) for(int y=0; y<STEP; y++) {
if(triangles && (a%3 != 1)) continue;
hyperpoint h = (vertices[a] * (STEP-y) + vertices[(a+1)%n] * y)/STEP;
if(prod) {
h = zshift(normalize_flat(h), (altitudes[a] * (STEP-y) + altitudes[(a+1)%n] * y) / STEP);
@@ -799,7 +803,7 @@ void geometry_information::reserve_wall3d(int i) {
void geometry_information::create_wall3d() {
if(WDIM == 2) return;
reserve_wall3d(penrose ? 22 : prod ? 0 : S7);
reserve_wall3d(penrose ? 22 : prod ? 0 : sl2 ? 9 : S7);
if(GDIM == 3 && binarytiling && geometry == gBinary3) {
hyperpoint h00 = point3(-1,-1,-1);
hyperpoint h01 = point3(-1,0,-1);
@@ -954,7 +958,7 @@ void geometry_information::create_wall3d() {
}
}
if(GDIM == 3 && !euclid && !binarytiling && !nil && !prod) {
if(GDIM == 3 && !euclid && !binarytiling && !nil && !prod && !sl2) {
reg3::generate();
int facesize = isize(reg3::cellshape) / S7;
for(int w=0; w<S7; w++) {
@@ -964,6 +968,42 @@ void geometry_information::create_wall3d() {
make_wall(w, vertices);
}
}
if(geometry == gSL2) {
ld zs = 2 * M_PI / 28;
ld a = 2 * M_PI/7;
ld tf = tessf7 / 4;
ld halfedge = 0.283128;
ld he = halfedge / 2;
hyperpoint right_u = xpush(tf) * ypush(-he) * zpush0(zs/2);
hyperpoint right_d = xpush(tf) * ypush(-he) * zpush0(-zs/2);
hyperpoint left_u = xpush(tf) * ypush(+he) * zpush0(zs/2);
hyperpoint left_d = xpush(tf) * ypush(+he) * zpush0(-zs/2);
hyperpoint center_u = zpush0(zs/2);
hyperpoint center_d = zpush0(-zs/2);
for(int i=0; i<7; i++) {
auto s =spin(a * i);
make_wall(i, {s * right_u, s * right_d, s * left_d, s * left_u});
}
vector<hyperpoint> top, bot;
for(int i=0; i<7; i++) {
bot.push_back(center_d);
bot.push_back(spin(a*i) * left_d);
bot.push_back(spin(a*i) * right_d);
bot.push_back(center_d);
bot.push_back(spin(a*i) * right_d);
bot.push_back(spin(a*(i+1)) * left_d);
top.push_back(center_u);
top.push_back(spin(a*i) * left_u);
top.push_back(spin(a*i) * right_u);
top.push_back(center_u);
top.push_back(spin(a*i) * right_u);
top.push_back(spin(a*(i+1)) * left_u);
}
make_wall(7, bot);
make_wall(8, top);
}
if(geometry == gSol) {
ld zstep = -log(2) / 2;