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new embedding: Euclidean cylinder

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This commit is contained in:
Zeno Rogue 2023-01-24 15:17:09 +01:00
parent bab78c8179
commit 8744420504
7 changed files with 75 additions and 7 deletions
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1
3d-models.cpp
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@ -35,6 +35,7 @@ hyperpoint get_center(const vector<hyperpoint>& vh) {
hyperpoint h = Hypc;
for(auto h1: vh) h = h + h1;
if(geom3::euc_in_product()) return h / isize(vh);
if(geom3::euc_cylinder()) h /= isize(vh);
return normalize_flat(h);
}

25
geometry.cpp
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@ -599,6 +599,7 @@ void geometry_information::prepare_lta() {
if(embedded_plane) {
if(geom3::euc_vertical()) lta = cspin90(2, 1) * lta;
if(geom3::hyp_in_solnih()) lta = cspin90(0, 1) * cspin90(1, 2) * cspin90(0, 1) * lta;
if(geom3::euc_cylinder()) lta = cspin90(0, 1) * lta;
}
logical_scaled_to_intemediate = lta;
if(geom3::euc_in_noniso()) {
@ -1087,7 +1088,11 @@ EX namespace geom3 {
HIGH2 = lev_to_factor(3 * wh);
SKY = LOWSKY - sgn * 5;
if(geom3::mgclass() == gcSphere && geom3::ggclass() != gcSphere) {
/* in spherical/cylindrical case, make sure that the high stuff does not go through the center */
bool depth_limit = geom3::mgclass() == gcSphere && geom3::ggclass() != gcSphere;
depth_limit |= euc_cylinder();
if(depth_limit) {
ld max_high = lerp(-FLOOR, -1, 0.8);
ld max_high2 = lerp(-FLOOR, -1, 0.9);
if(HIGH < max_high) HIGH = max_high;
@ -1123,7 +1128,8 @@ EX namespace geom3 {
seCliffordTorus,
seProductH,
seProductS,
seSL2
seSL2,
seCylinder
};
#endif
@ -1140,7 +1146,8 @@ EX namespace geom3 {
{"Clifford Torus", "Embed Euclidean rectangular torus into S3."},
{"hyperbolic product", "Embed Euclidean or hyperbolic plane in the H2xR product space."},
{"spherical product", "Embed Euclidean cylinder or spherical plane in the H2xR product space."},
{"SL(2,R)", "Embed Euclidean plane in twisted product geometry."}
{"SL(2,R)", "Embed Euclidean plane in twisted product geometry."},
{"cylinder", "Embed Euclidean cylinder in Euclidean space."},
};
EX eSpatialEmbedding spatial_embedding = seDefault;
@ -1196,9 +1203,14 @@ EX namespace geom3 {
}
EX bool euc_in_noniso() {
if(spatial_embedding == seCylinder) return mgclass() == gcEuclid;
return among(ggclass(), gcNil, gcSol, gcNIH, gcSolN, gcSphere, gcProduct, gcSL2) && mgclass() == gcEuclid;
}
EX bool euc_cylinder() {
return spatial_embedding == seCylinder && mgclass() == gcEuclid;
}
EX bool sph_in_euc() {
return ggclass() == gcEuclid && mgclass() == gcSphere;
}
@ -1220,7 +1232,7 @@ EX namespace geom3 {
}
EX bool same_in_same() {
return mgclass() == ggclass();
return mgclass() == ggclass() && !among(spatial_embedding, seCylinder);
}
EX bool flipped;
@ -1450,7 +1462,8 @@ EX void switch_always3() {
}
}
if(spatial_embedding == seCliffordTorus) configure_clifford_torus();
if(spatial_embedding == seProductS) configure_product_cylinder();
if(spatial_embedding == seProductS) configure_cylinder();
if(spatial_embedding == seCylinder) configure_cylinder();
}
else {
vid.always3 = false;
@ -1493,7 +1506,7 @@ EX void switch_always3() {
vid.eye = vid.wall_height / 2 - vid.depth;
}
EX void configure_product_cylinder() {
EX void configure_cylinder() {
rug::clifford_torus ct;
hyperpoint vec;
if(sqhypot_d(2, ct.yh) > 1e-6) vec = ct.yh;

4
graph.cpp
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@ -785,6 +785,7 @@ EX shiftmatrix face_the_player(const shiftmatrix V) {
}
#endif
if(embedded_plane && geom3::sph_in_low()) return shiftless(map_relative_push(unshift(V * zpush0(1))) * zpush(-1));
if(embedded_plane && geom3::euc_cylinder()) return shiftless(map_relative_push(unshift(V * zpush0(1))) * zpush(-1));
return rgpushxto0(tC0(V));
}
@ -5104,6 +5105,9 @@ EX void make_actual_view() {
else if(geom3::euc_in_sph()) {
current_display->radar_transform = inverse(View);
}
else if(geom3::euc_cylinder()) {
current_display->radar_transform = inverse(View);
}
else {
transmatrix T = actual_view_transform * View;
transmatrix U = view_inverse(T);

34
hyperpoint.cpp
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@ -629,6 +629,12 @@ EX hyperpoint normalize_flat(hyperpoint h) {
h1[2] = 0;
return parabolic13(h1);
}
if(geom3::euc_cylinder()) {
h /= h[3];
ld z = h[1] * h[1] + h[2] * h[2];
if(z > 0) h[1] /= z, h[2] /= z;
return h;
}
if(geom3::sph_in_euc()) {
ld z = hypot_d(3, h);
if(z > 0) h[0] /= z, h[1] /= z, h[2] /= z;
@ -883,6 +889,14 @@ EX hyperpoint orthogonal_move(const hyperpoint& h, ld z) {
hf[3] = 1;
return hf;
}
if(geom3::euc_cylinder()) {
auto hf = h / h[3];
ld z0 = hypot(h[1], h[2]);
if(!z0) return hf;
ld f = ((z0 + z) / z0);
hf[1] *= f; hf[2] *= f;
return hf;
}
if(geom3::hyp_in_solnih()) {
return nisot::translate(h) * cpush0(0, z);
}
@ -946,6 +960,9 @@ EX ld get_logical_z(hyperpoint h) {
auto h1 = h / exp(bz);
return asin_auto(h1[1]);
}
if(geom3::euc_cylinder()) {
return hypot(h[1], h[2]) - 1;
}
if(gproduct)
return log(h[2]);
return asin_auto(h[2]) - (moved_center() ? 1 : 0);
@ -999,6 +1016,13 @@ EX void swapmatrix(transmatrix& T) {
for(int i=0; i<4; i++) T[i][3] = T[3][i] = i == 3;
}
}
else if(geom3::euc_cylinder()) {
if(!geom3::flipped) {
hyperpoint h1 = cgi.logical_to_intermediate * get_column(T, 2);
T = xpush(h1[0]) * cspin(1, 2, h1[1]);
return;
}
}
else if(geom3::euc_in_nil()) {
if(!geom3::flipped) {
hyperpoint h1 = cgi.logical_to_intermediate * get_column(T, 2);
@ -1054,6 +1078,14 @@ EX void swapmatrix(hyperpoint& h) {
if(geom3::in_product()) return;
if(geom3::sph_in_euc()) { h[3] = 1; return; }
if(geom3::sph_in_hyp()) { h[0] *= sinh(1); h[1] *= sinh(1); h[2] *= sinh(1); h[3] = cosh(1); return; }
if(geom3::euc_cylinder()) {
hyperpoint h1 = cgi.logical_to_intermediate * h;
h[0] = h1[0];
h[1] = sin(h1[1]);
h[2] = cos(h1[1]);
h[3] = 1;
return;
}
if(geom3::euc_in_nil()) { h = cgi.logical_to_intermediate * h; h[3] = 1; h[1] = 0; return; }
if(geom3::euc_in_sl2()) {
hyperpoint h1 = cgi.logical_to_intermediate * h; h1[1] = 0;
@ -1660,6 +1692,7 @@ EX bool moved_center() {
if(geom3::sph_in_euc()) return true;
if(geom3::sph_in_hyp()) return true;
if(geom3::euc_in_sph()) return true;
if(geom3::euc_cylinder()) return true;
return false;
}
@ -1668,6 +1701,7 @@ EX hyperpoint tile_center() {
if(geom3::sph_in_euc()) return C02 + C03;
if(geom3::euc_in_sph()) return zpush0(1);
if(geom3::sph_in_hyp()) return zpush0(1);
if(geom3::euc_cylinder()) return zpush0(1);
return C0;
}

6
hypgraph.cpp
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@ -3398,6 +3398,12 @@ EX transmatrix map_relative_push(hyperpoint h) {
auto h1 = esl2_ati(h);
return esl2_zpush(h1[2]) * xpush(h1[0]) * ypush(h1[1]);
}
if(geom3::euc_cylinder()) {
ld z0 = hypot(h[1], h[2]);
if(!z0) return Id;
transmatrix T = xpush(h[0]) * cspin(1, 2, atan2(h[1], h[2])) * zpush(z0);
return T;
}
if(geom3::euc_in_sph()) {
ld tx = hypot(h[0], h[2]);
ld ty = hypot(h[1], h[3]);

9
radar.cpp
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@ -63,6 +63,15 @@ pair<bool, hyperpoint> makeradar(shiftpoint h) {
if(d > vid.radarrange) return {false, h1};
if(d) h1 = h1 / (vid.radarrange + cgi.scalefactor/4);
}
else if(geom3::euc_cylinder()) {
h1[0] = h.h[0];
h1[1] = atan2(h.h[1], h.h[2]);
h1[2] = 0;
h1 = cgi.intermediate_to_logical * h1;
d = hypot_d(2, h1);
if(d > vid.radarrange) return {false, h1};
if(d) h1 = h1 / (vid.radarrange + cgi.scalefactor/4);
}
else if(geom3::euc_in_sl2()) {
h1 = cgi.intermediate_to_logical * esl2_ati(unshift(h)); h1[1] = -h1[1];
d = hypot_d(2, h1);

3
sky.cpp
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@ -43,7 +43,7 @@ EX struct dqi_sky *sky;
EX void prepare_sky() {
sky = NULL;
if(euclid && !geom3::sph_in_euc()) {
if(euclid && !geom3::sph_in_euc() && !geom3::euc_cylinder()) {
if(WDIM == 3 || GDIM == 2) return;
if(no_wall_rendering) return;
if(!draw_sky) return;
@ -76,6 +76,7 @@ void compute_skyvertices(const vector<sky_item>& sky) {
if(geom3::hyp_in_solnih()) return;
if(geom3::euc_in_product()) return;
if(geom3::euc_in_sl2()) return;
if(geom3::euc_cylinder()) return;
int sk = get_skybrightness();