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refactored compute_geometry_data
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Zeno Rogue
parent
e432991abe
commit
e2ba882b55
202
geom-exp.cpp
202
geom-exp.cpp
@ -708,123 +708,119 @@ EX void edit_stretch() {
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dialog::reaction = [] { if(abs(stretch::factor+1) < 1e-3) stretch::factor = -.9; ray::reset_raycaster(); };
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}
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EX void showEuclideanMenu() {
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// for(int i=2; i<lt; i++) landvisited[i] = true;
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#if HDR
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struct geometry_data {
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int ts, tv, nom, denom, euler, demigenus, worldsize;
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int area;
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string spf;
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string size_str;
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};
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#endif
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cmode = sm::SIDE | sm::MAYDARK;
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gamescreen(0);
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dialog::init(XLAT("experiment with geometry"));
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dialog::addSelItem(XLAT("geometry"), geometry_name(), 'd');
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dialog::add_action([] { pushScreen(ge_select_tiling); pushScreen(ge_select_filter); });
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dialog::addSelItem(XLAT("basic tiling"), XLAT(ginf[geometry].tiling_name), 't');
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dialog::add_action([] {
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if(!current_filter || !current_filter->test()) set_default_filter();
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pushScreen(ge_select_tiling);
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});
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int ts = ginf[geometry].sides;
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int tv = ginf[geometry].vertex;
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int nom = (BITRUNCATED ? tv+ts : tv) * 4;
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int denom = (2*ts + 2*tv - ts * tv);
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EX geometry_data compute_geometry_data() {
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geometry_data gd;
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auto& ts = gd.ts;
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auto& tv = gd.tv;
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ts = ginf[geometry].sides;
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tv = ginf[geometry].vertex;
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gd.nom = (BITRUNCATED ? tv+ts : tv) * 4;
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gd.denom = (2*ts + 2*tv - ts * tv);
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#if CAP_GP
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if(GOLDBERG || INVERSE) {
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ld area = PIU(cgi.gpdata->area);
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gd.area = PIU(cgi.gpdata->area);
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if(GOLDBERG || WARPED) {
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nom = 2 * (2*tv + (S3-2) * ts * (area-1));
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gd.nom = 2 * (2*tv + (S3-2) * ts * (gd.area-1));
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}
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else if(UNRECTIFIED) {
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if((gp::param.first + gp::param.second) % 2 == 0)
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nom = ts * 2 * area;
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gd.nom = ts * 2 * gd.area;
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else
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nom = (2*tv + (S3-2) * ts * (area-1));
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gd.nom = (2*tv + (S3-2) * ts * (gd.area-1));
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}
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else if(UNTRUNCATED) {
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if((gp::param.first - gp::param.second) % 3 == 0) {
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nom = ts * 4 * area;
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denom *= 3;
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gd.nom = ts * 4 * gd.area;
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gd.denom *= 3;
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}
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else {
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nom = 2 * (2*tv + (S3-2) * ts * (area-1));
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denom *= 3;
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gd.nom = 2 * (2*tv + (S3-2) * ts * (gd.area-1));
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gd.denom *= 3;
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}
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}
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}
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else
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#endif
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gd.area = PURE ? 1 : 3;
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int worldsize;
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int euler = 0;
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if(euclid) euler = 0;
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else if(sphere && nonorientable) euler = 1;
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else if(sphere) euler = 2;
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else if(!bounded) euler = -2;
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else if(WDIM == 3) euler = 0;
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gd.euler = 0;
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if(euclid) gd.euler = 0;
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else if(sphere && nonorientable) gd.euler = 1;
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else if(sphere) gd.euler = 2;
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else if(!bounded) gd.euler = -2;
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else if(WDIM == 3) gd.euler = 0;
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else switch(geometry) {
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case gFieldQuotient:
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worldsize = isize(currentmap->allcells());
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euler = 2 * worldsize * denom / nom;
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gd.worldsize = isize(currentmap->allcells());
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gd.euler = 2 * gd.worldsize * gd.denom / gd.nom;
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break;
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case gMinimal:
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euler = -1;
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gd.euler = -1;
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break;
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case gZebraQuotient:
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case gBolza:
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euler = -2;
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gd.euler = -2;
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break;
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case gKleinQuartic:
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case gSchmutzM2:
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case gBolza2:
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euler = -4;
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gd.euler = -4;
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break;
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case gSchmutzM3:
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case gBring:
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euler = -6;
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gd.euler = -6;
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break;
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case gMacbeath:
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euler = -12;
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gd.euler = -12;
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break;
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default:
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worldsize = isize(currentmap->allcells());
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println(hlog, "warning: Euler characteristics unknown, worldsize = ", worldsize);
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euler = 2 * worldsize * denom / nom;
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gd.worldsize = isize(currentmap->allcells());
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println(hlog, "warning: Euler characteristics unknown, worldsize = ", gd.worldsize);
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gd.euler = 2 * gd.worldsize * gd.denom / gd.nom;
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break;
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}
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nom *= euler;
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denom *= 2;
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gd.nom *= gd.euler;
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gd.denom *= 2;
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if(hybri) nom *= hybrid::csteps, denom *= cgi.single_step;
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if(hybri) gd.nom *= hybrid::csteps, gd.denom *= cgi.single_step;
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int g = gcd(nom, denom);
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int g = gcd(gd.nom, gd.denom);
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if(g) {
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nom /= g;
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denom /= g;
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gd.nom /= g;
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gd.denom /= g;
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}
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if(euclid && bounded) {
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worldsize = euc::eu.det;
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if(BITRUNCATED) worldsize *= (a4 ? 2 : 3);
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if(GOLDBERG) worldsize *= cgi.gpdata->area;
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gd.worldsize = euc::eu.det;
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if(BITRUNCATED) gd.worldsize *= (a4 ? 2 : 3);
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if(GOLDBERG) gd.worldsize *= cgi.gpdata->area;
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#if CAP_IRR
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if(IRREGULAR) worldsize *= isize(irr::cells) / isize(irr::cells_of_heptagon);
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if(IRREGULAR) gd.worldsize *= isize(irr::cells) / isize(irr::cells_of_heptagon);
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#endif
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}
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else
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worldsize = denom ? nom / denom : 0;
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gd.worldsize = gd.denom ? gd.nom / gd.denom : 0;
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if(euler < 0 && !bounded)
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worldsize = -worldsize;
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if(gd.euler < 0 && !bounded)
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gd.worldsize = -gd.worldsize;
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string spf = its(ts);
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if(0) ;
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@ -896,6 +892,56 @@ EX void showEuclideanMenu() {
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for(int z=1; z<S3; z++) spf = spf + "," + spf0;
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}
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gd.size_str =
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#if CAP_BT
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bt::in() ? fts(8 * M_PI * sqrt(2) * log(2) / pow(vid.binary_width, WDIM-1), 4) + " exp(∞)" :
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#endif
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#if CAP_ARCM
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arcm::in() && (WDIM == 2) ? arcm::current.world_size() :
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(arcm::in() && sphere) ? its(isize(currentmap->allcells())) :
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#endif
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#if CAP_CRYSTAL
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cryst ? "∞^" + its(ts/2) :
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#endif
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WDIM == 3 && bounded ? its(isize(currentmap->allcells())) :
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WDIM == 3 && euclid ? "∞" :
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gd.worldsize < 0 ? (gd.nom%gd.denom ? its(gd.nom)+"/"+its(gd.denom) : its(-gd.worldsize)) + " exp(∞)":
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(euclid && quotient && !bounded) ? "∞" :
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gd.worldsize == 0 ? "∞²" :
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its(gd.worldsize);
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#if CAP_IRR
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if(hyperbolic && IRREGULAR) {
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gd.nom = isize(irr::cells);
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// both Klein Quartic and Bolza2 are double the Zebra quotiennt
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gd.denom = -2;
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if(!quotient) gd.worldsize = gd.nom / gd.denom;
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}
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#endif
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if(WDIM == 3) gd.euler = 0;
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gd.demigenus = 2 - gd.euler;
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return gd;
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}
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EX void showEuclideanMenu() {
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// for(int i=2; i<lt; i++) landvisited[i] = true;
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cmode = sm::SIDE | sm::MAYDARK;
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gamescreen(0);
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dialog::init(XLAT("experiment with geometry"));
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dialog::addSelItem(XLAT("geometry"), geometry_name(), 'd');
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dialog::add_action([] { pushScreen(ge_select_tiling); pushScreen(ge_select_filter); });
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dialog::addSelItem(XLAT("basic tiling"), XLAT(ginf[geometry].tiling_name), 't');
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dialog::add_action([] {
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if(!current_filter || !current_filter->test()) set_default_filter();
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pushScreen(ge_select_tiling);
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});
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string qstring = ginf[geometry].quotient_name;
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if(qstring == "none")
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@ -935,15 +981,6 @@ EX void showEuclideanMenu() {
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dialog::add_action_push(arb::set_sliders);
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}
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#if CAP_IRR
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if(hyperbolic && IRREGULAR) {
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nom = isize(irr::cells);
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// both Klein Quartic and Bolza2 are double the Zebra quotiennt
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denom = -2;
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if(!quotient) worldsize = nom / denom;
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}
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#endif
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#if MAXMDIM >= 4
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if(cgflags & qULTRA) {
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dialog::addBoolItem(XLAT("truncate ultra-vertices with mirrors"), reg3::ultra_mirror_on, 'Z');
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@ -1074,31 +1111,15 @@ EX void showEuclideanMenu() {
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dialog::addTitle(XLAT("info about: %1", full_geometry_name()), 0xFFFFFF, 150);
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if(WDIM == 2 && !arb::in() && !kite::in()) dialog::addSelItem(XLAT("faces per vertex"), spf, 0);
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auto gd = compute_geometry_data();
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if(WDIM == 2 && !arb::in() && !kite::in()) dialog::addSelItem(XLAT("faces per vertex"), gd.spf, 0);
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if(arb::in() && arb::current.comment != "") {
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dialog::addBreak(100);
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dialog::addHelp(arb::current.comment);
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}
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dialog::addSelItem(XLAT("size of the world"),
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#if CAP_BT
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bt::in() ? fts(8 * M_PI * sqrt(2) * log(2) / pow(vid.binary_width, WDIM-1), 4) + " exp(∞)" :
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#endif
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#if CAP_ARCM
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arcm::in() && (WDIM == 2) ? arcm::current.world_size() :
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(arcm::in() && sphere) ? its(isize(currentmap->allcells())) :
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#endif
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#if CAP_CRYSTAL
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cryst ? "∞^" + its(ts/2) :
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#endif
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WDIM == 3 && bounded ? its(isize(currentmap->allcells())) :
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WDIM == 3 && euclid ? "∞" :
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worldsize < 0 ? (nom%denom ? its(nom)+"/"+its(denom) : its(-worldsize)) + " exp(∞)":
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(euclid && quotient && !bounded) ? "∞" :
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worldsize == 0 ? "∞²" :
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its(worldsize),
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'3');
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dialog::addSelItem(XLAT("size of the world"), gd.size_str, '3');
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if(WDIM == 2 || reg3::in_rule()) dialog::add_action([] {
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if(!viewdists) { enable_viewdists(); pushScreen(viewdist_configure_dialog); }
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@ -1106,13 +1127,12 @@ EX void showEuclideanMenu() {
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});
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if(bounded) {
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if(WDIM == 3) euler = 0;
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dialog::addSelItem(XLAT("Euler characteristics"), its(euler), 0);
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dialog::addSelItem(XLAT("Euler characteristics"), its(gd.euler), 0);
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if(WDIM == 3) ;
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else if(nonorientable)
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dialog::addSelItem(XLAT("demigenus"), its(2-euler), 0);
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dialog::addSelItem(XLAT("demigenus"), its(gd.demigenus), 0);
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else
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dialog::addSelItem(XLAT("genus"), its((2-euler)/2), 0);
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dialog::addSelItem(XLAT("genus"), its(gd.demigenus/2), 0);
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}
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else dialog::addBreak(200);
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