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hyperrogue/geom-exp.cpp
Zeno Rogue 8f8a259992 new quotient geometries
2018-06-22 01:48:46 +02:00

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// Hyperbolic Rogue -- the 'experiments with geometry' menu
// Copyright (C) 2011-2018 Zeno Rogue, see 'hyper.cpp' for details
// -- geometry menu --
namespace hr {
int eupage = 0;
int euperpage = 21;
string euchelp =
"If you want to know how much the gameplay is affected by the "
"hyperbolic geometry in HyperRogue, this mode is for you!\n\n"
"You can try many different geometries here. We start by gluing "
"n-gons in such a way that k of them meet in every vertex. "
"Depending on n and k, this either folds into a sphere, unfolds into a plane, "
"or requires a hyperbolic space. The result may be then 'bitrunc' by "
"replacing each vertex by a 2k-gon. Furthermore, you can play "
"with quotient geometries. For example, the elliptic geometry is "
"obtained from the sphere by making the antipodes be the same point, "
"so you return to the same spot (but as a mirror image) after going there. "
"Have fun experimenting! "
"Achievements and leaderboards do not work in geometry experiments, "
"except some specific ones.\n\n"
"In standard geometry (bitrunc or not), you can play the full game, but in other geometries "
"you select a particular land. Lands are unlocked by visiting them in this "
"session, or permanently by collecting 25 treasure. Try Crossroads in Euclidean "
"or chaos mode in non-standard non-quotient hyperbolic to visit many lands. "
"Highlights:\n"
"* Crystal World and Warped Coast can be understood as extra geometries.\n"
"* Halloween is specially designed for spherical geometry.\n"
"* To see the difference, try Hunting Grounds in Euclidean -- it is impossible.\n";
int ewhichscreen = 2;
void showQuotientConfig() {
using namespace fieldpattern;
gamescreen(2);
dialog::init(XLAT("advanced configuration"));
fgeomextra& gxcur = fgeomextras[current_extra];
for(int i=0; i<size(fgeomextras); i++) {
auto& g = fgeomextras[i];
dialog::addBoolItem(XLAT(ginf[g.base].name), g.base == gxcur.base, 'a'+i);
}
nextPrimes(gxcur);
for(int i=0; i<size(gxcur.primes); i++) {
auto& p = gxcur.primes[i];
dialog::addBoolItem(XLAT("order %1%2 (non-bitruncated cells: %3)", its(p.p), p.squared ? "²" : "", its(p.cells)), i == gxcur.current_prime_id, 'A'+i);
}
if(size(gxcur.primes) < 6) {
dialog::addBreak(100);
dialog::addHelp(
"This geometry is obtained by applying the same 'generators' which "
"lead to creating the given basic hyperbolic geometry, "
"but using a fixed finite field instead of the field of reals. "
"It can be also interpreted as a quotient of the given basic geometry. "
"Warning: field patterns based on large primes might generate for a long time."
);
dialog::addBreak(100);
}
dialog::addItem("find the next prime", 'p');
dialog::addItem("activate", 'x');
dialog::addItem("default", 'c');
keyhandler = [&gxcur] (int sym, int uni) {
if(uni >= 'a' && uni < 'a' + size(fgeomextras))
current_extra = uni - 'a';
else if(uni >= 'A' && uni < 'A' + size(gxcur.primes))
gxcur.current_prime_id = uni - 'A';
else if(uni == 'p')
nextPrime(gxcur);
else if(uni == 'x' || uni == '\n') {
targetgeometry = gxcur.base; stop_game_and_switch_mode(rg::geometry);
enableFieldChange();
targetgeometry = gFieldQuotient; stop_game_and_switch_mode(rg::geometry);
start_game();
}
else if(uni == 'c') {
targetgeometry = gEuclid; stop_game_and_switch_mode(rg::geometry);
fieldpattern::quotient_field_changed = false;
targetgeometry = gFieldQuotient; stop_game_and_switch_mode(rg::geometry);
start_game();
}
else if(doexiton(sym, uni))
popScreen();
};
dialog::display();
}
bool torus_bitrunc;
void showTorusConfig() {
cmode = sm::SIDE | sm::TORUSCONFIG;
gamescreen(2);
dialog::init(XLAT("advanced configuration"));
auto& mode = torusconfig::tmodes[torusconfig::newmode];
dialog::addSelItem(XLAT("mode"), XLAT(mode.name), 'm');
bool single = (mode.flags & torusconfig::TF_SINGLE);
bool square = (mode.flags & torusconfig::TF_SQUARE);
bool simple = (mode.flags & torusconfig::TF_SIMPLE);
if(single) {
dialog::addSelItem(XLAT("number of cells (n)"), its(torusconfig::newqty), 'n');
if(torusconfig::TF_HEX)
dialog::addSelItem(XLAT("cell bottom-right from 0 (d)"), its(torusconfig::newdy), 'd');
else
dialog::addSelItem(XLAT("cell below 0 (d)"), its(torusconfig::newdy), 'd');
}
else {
if(torusconfig::newsdx < 1) torusconfig::newsdx = 1;
if(torusconfig::newsdy < 1) torusconfig::newsdy = 1;
dialog::addSelItem(XLAT("width (x)"), its(torusconfig::newsdx), 'x');
dialog::addSelItem(XLAT("height (y)"), its(torusconfig::newsdy), 'y');
}
if(square) dialog::addBoolItem(XLAT("bitruncated"), !torus_bitrunc, 't');
else dialog::addInfo("", 100);
int valid = 2;
if(single) {
if(square) {
dialog::addInfo("this mode has bad patterns", 0x808080), valid = 1;
if(!torus_bitrunc && valid == 1)
dialog::addInfo("incompatible with bitruncating", 0x808080), valid = 0;
}
else {
if(torusconfig::newqty % 3)
dialog::addInfo(XLAT("best if %1 is divisible by %2", "n", "3"), 0x808080), valid = 1;
if((torusconfig::newdy + 999999) % 3 != 2)
dialog::addInfo(XLAT("best if %1 is divisible by %2", "d+1", "3"), 0x808080), valid = 1;
}
}
else {
if(square) {
if(torusconfig::newsdx & 1)
dialog::addInfo(XLAT("best if %1 is divisible by %2", "x", "2"), 0x808080), valid = 1;
if(torusconfig::newsdy & 1)
dialog::addInfo(XLAT("best if %1 is divisible by %2", "y", "2"), 0x808080), valid = 1;
if(!torus_bitrunc && valid == 1)
dialog::addInfo("incompatible with bitruncating", 0x808080), valid = 0;
}
else if(simple) {
if(torusconfig::newsdx & 1)
dialog::addInfo(XLAT("best if %1 is divisible by %2", "x", "3"), 0x808080), valid = 1;
if(torusconfig::newsdy & 1)
dialog::addInfo(XLAT("best if %1 is divisible by %2", "y", "3"), 0x808080), valid = 1;
}
else {
if(torusconfig::newsdx & 1)
dialog::addInfo(XLAT("best if %1 is divisible by %2", "x", "3"), 0x808080), valid = 1;
if(torusconfig::newsdy & 1)
dialog::addInfo(XLAT("best if %1 is divisible by %2", "y", "2"), 0x808080), valid = 0;
}
}
dialog::addSelItem(XLAT("scale factor"), fts(vid.scale), 'z');
#if CAP_RUG
dialog::addBoolItem(XLAT("hypersian rug mode"), (rug::rugged), 'u');
#endif
dialog::addItem("activate", 'a');
dialog::addItem("default", 'c');
keyhandler = [=] (int sym, int uni) {
if(uni == 'm') {
int i = torusconfig::newmode + 1;
if(i >= size(torusconfig::tmodes)) i = 0;
torusconfig::newmode = torusconfig::eTorusMode(i);
}
else if(uni == 'n' && single)
dialog::editNumber(torusconfig::newqty, 0, 1000, 3, torusconfig::def_qty, XLAT("number of cells (n)"), "");
else if(uni == 'd' && single)
dialog::editNumber(torusconfig::newdy, -1000, 1000, 3, -torusconfig::def_dy, XLAT("cell below 0 (d)"), "");
else if(uni == 'x' && !single)
dialog::editNumber(torusconfig::newsdx, 0, 1000, square ? 2 : 3, 12, XLAT("width (x)"), "");
else if(uni == 'y' && !single)
dialog::editNumber(torusconfig::newsdy, 0, 1000, square ? 2 : simple ? 3 : 2, 12, XLAT("height (y)"), "");
else if(uni == 't')
torus_bitrunc = !torus_bitrunc;
else if((uni == 'a' || uni == '\n') && torusconfig::newqty >= 3 && valid) {
targetgeometry = gNormal; stop_game_and_switch_mode(rg::geometry);
torusconfig::torus_mode = torusconfig::newmode;
torusconfig::qty = torusconfig::newqty;
torusconfig::dy = torusconfig::newdy;
torusconfig::sdx = torusconfig::newsdx;
torusconfig::sdy = torusconfig::newsdy;
torusconfig::activate();
if((square && torus_bitrunc) != nonbitrunc) stop_game_and_switch_mode(rg::bitrunc);
targetgeometry = gTorus; stop_game_and_switch_mode(rg::geometry);
start_game();
}
else if(uni == 'c') {
targetgeometry = gEuclid; stop_game_and_switch_mode(rg::geometry);
torusconfig::torus_mode = torusconfig::tmSingle;
torusconfig::qty = torusconfig::def_qty;
torusconfig::dy = torusconfig::def_dy;
targetgeometry = gTorus; stop_game_and_switch_mode(rg::geometry);
start_game();
}
else if(uni == 'z') editScale();
#if CAP_RUG
else if(uni == 'u') rug::select();
#endif
else if(doexiton(sym, uni))
popScreen();
};
dialog::display();
}
string bitruncnames[2] = {" (b)", " (n)"};
void validity_info() {
int vccolors[4] = {0xFF0000, 0xFF8000, 0xFFFF00, 0x00FF00};
auto lv = land_validity(specialland);
if(lv.flags & lv::display_error_message)
dialog::addInfo(XLAT(lv.msg), vccolors[lv.quality_level]);
else
dialog::addBreak(100);
}
bool showquotients;
void showEuclideanMenu() {
cmode = sm::SIDE;
gamescreen(0);
if(cheater) for(int i=0; i<landtypes; i++) landvisited[i] = true;
for(int i=0; i<landtypes; i++)
if(hiitemsMax(treasureType(eLand(i))) >= 25) landvisited[i] = true;
landvisited[laCrossroads] = true;
landvisited[laCrossroads4] = true;
landvisited[laIce] = true;
landvisited[laHunting] = true;
landvisited[laMirrorOld] = true;
landvisited[laPrincessQuest] = cheater || princess::everSaved;
landvisited[laWildWest] = true;
landvisited[laHalloween] = true;
landvisited[laWarpCoast] = true;
landvisited[laGraveyard] = true;
landvisited[laDual] = true;
landvisited[laDocks] |= landvisited[laWarpCoast];
landvisited[laSnakeNest] |= landvisited[laRedRock];
landvisited[laCA] = true;
// for(int i=2; i<lt; i++) landvisited[i] = true;
string validclasses[4] = {" (X)", " (½)", "", " (!)"};
if(ewhichscreen == 2) {
dialog::init(XLAT("experiment with geometry"));
int ts = ginf[geometry].sides;
int tv = ginf[geometry].vertex;
int tq = ginf[geometry].quotientstyle;
int nom = (nonbitrunc ? tv : tv+ts) * ((tq & qNONORIENTABLE) ? 2 : 4);
int denom = (2*ts + 2*tv - ts * tv);
if(gp::on) {
denom *= 2;
nom = nom / tv * (2*tv + ts * (gp::area-1));
if(nom % 2 == 0) nom /= 2, denom /= 2;
}
dialog::addSelItem(XLAT("land"), XLAT1(linf[specialland].name), '5');
dialog::addBreak(50);
for(int i=0; i<gGUARD; i++) {
bool on = geometry == i;
dynamicval<eGeometry> cg(geometry, eGeometry(i));
if(!!(quotient || elliptic || torus) != showquotients) continue;
dialog::addBoolItem(XLAT(ginf[i].name), on, 'a'+i);
dialog::lastItem().value += validclasses[land_validity(specialland).quality_level];
}
dialog::addBoolItem(XLAT("show quotient spaces"), showquotients, 'u');
dialog::addBreak(50);
if(ts == 6 && tv == 3)
dialog::addSelItem(XLAT("bitruncated"), XLAT("does not matter"), 't');
else if(S3 != 3)
dialog::addBoolItem(XLAT("bitruncated"), !nonbitrunc, 't');
else {
dialog::addBoolItem(XLAT("Goldberg"), nonbitrunc, 't');
dialog::lastItem().value = gp::operation_name();
}
dialog::addBreak(25);
validity_info();
dialog::addBreak(25);
int worldsize;
int gar =
gp::on ? gp::area - 1 :
nonbitrunc ? 0 :
2;
switch(geometry) {
case gTorus:
worldsize = torusconfig::qty;
break;
case gZebraQuotient:
worldsize = 12 + 14 * gar;
break;
case gFieldQuotient:
worldsize = size(currfp.matrices) / ts;
worldsize = worldsize * (2*tv + ts * gar) / tv / 2;
break;
case gKleinQuartic:
worldsize = 24 + 28 * gar;
break;
case gBolza:
worldsize = 6 * (2*tv + ts * gar) / tv;
break;
case gBolza2:
worldsize = 12 * (2*tv + ts * gar) / tv;
break;
default:
worldsize = denom ? nom/denom : 0;
break;
}
dialog::addSelItem(XLAT("sides per face"), its(ts), 0);
dialog::addSelItem(XLAT("faces per vertex"), its(tv), 0);
string qstring = "none";
if(tq & qZEBRA) qstring = "zebra";
else if(tq & qFIELD) qstring = "field";
else if((tq & qNONORIENTABLE) && sphere) qstring = "elliptic";
else if(tq & qTORUS) qstring = "torus";
else if(tq & qSMALL) qstring = ginf[geometry].shortname;
dialog::addSelItem(XLAT("quotient space"), XLAT(qstring), 0);
dialog::addSelItem(XLAT("size of the world"),
worldsize < 0 ? "exp(∞)*" + (nom%denom ? its(nom)+"/"+its(-denom) : its(-worldsize)):
worldsize == 0 ? "∞" :
its(worldsize),
'3');
switch(ginf[geometry].cclass) {
case 0:
dialog::addSelItem(XLAT("Curvature"), XLAT("hyperbolic"), 0);
break;
case 1:
dialog::addSelItem(XLAT("Curvature"), XLAT("flat"), 0);
break;
case 2:
dialog::addSelItem(XLAT("Curvature"), XLAT("spherical"), 0);
break;
}
if(sphere)
dialog::addBoolItem(XLAT("stereographic/orthogonal"), vid.alpha>10, '1');
else
dialog::addBoolItem(XLAT("Poincaré/Klein"), vid.alpha>.5, '1');
if(torus || quotient == 2)
dialog::addItem(XLAT("advanced parameters"), '4');
dialog::addHelp();
dialog::addBack();
dialog::display();
keyhandler = [] (int sym, int uni) {
dialog::handleNavigation(sym, uni);
if(uni >= 'a' && uni < 'a'+gGUARD) {
targetgeometry = eGeometry(uni - 'a');
stop_game_and_switch_mode(geometry == targetgeometry ? rg::nothing : rg::geometry);
start_game();
}
else if(uni == 'u')
showquotients = !showquotients;
else if(uni == 't') {
if(euclid6) ;
else if(S3 == 3)
gp::configure();
else {
stop_game_and_switch_mode(rg::bitrunc);
start_game();
}
}
else if(uni == '2' || sym == SDLK_F1) gotoHelp(euchelp);
else if(uni == '3') { viewdists = !viewdists; if(viewdists) popScreenAll(); }
else if(uni == '1' && !euclid) {
if(sphere) {
if(vid.alpha < 10) { vid.alpha = 999; vid.scale = 998; }
else {vid.alpha = 1; vid.scale = .4; }
}
else {
if(vid.alpha > .5) { vid.alpha = 0; vid.scale = 1; }
else {vid.alpha = 1; vid.scale = 1; }
}
}
else if(uni == '5')
ewhichscreen ^= 3;
else if(uni == '4') {
if(torus)
torusconfig::newdy = torusconfig::dy,
torusconfig::newqty = torusconfig::qty,
torusconfig::newsdx = torusconfig::sdx,
torusconfig::newsdy = torusconfig::sdy,
torusconfig::newmode = torusconfig::torus_mode,
torus_bitrunc = nonbitrunc,
pushScreen(showTorusConfig);
if(quotient==2) pushScreen(showQuotientConfig);
}
else if(doexiton(sym, uni))
popScreen();
};
}
else {
dialog::init(XLAT("experiment with geometry"));
dialog::addSelItem(XLAT("geometry"), XLAT(ginf[geometry].name) + XLAT(bitruncnames[nonbitrunc]), '5');
dialog::addBreak(50);
generateLandList([] (eLand l) { return land_validity(l).flags & lv::appears_in_geom_exp; });
stable_sort(landlist.begin(), landlist.end(), [] (eLand l1, eLand l2) { return land_validity(l1).quality_level > land_validity(l2).quality_level; });
for(int i=0; i<euperpage; i++) {
if(euperpage * eupage + i >= size(landlist)) { dialog::addBreak(100); break; }
eLand l = landlist[euperpage * eupage + i];
char ch;
if(i < 26) ch = 'a' + i;
else ch = 'A' + (i-26);
string s = XLAT1(linf[l].name);
if(landvisited[l]) {
dialog::addBoolItem(s, l == specialland, ch);
}
else {
dialog::addSelItem(s, XLAT("(locked)"), ch);
}
dialog::lastItem().color = linf[l].color;
dialog::lastItem().value += validclasses[land_validity(l).quality_level];
}
dialog::addBreak(50);
if(chaosUnlocked && !quotient && !euclid && !sphere)
dialog::addItem(XLAT("Chaos mode"), '1');
dialog::addItem(XLAT("next page"), '-');
dialog::addBreak(25);
validity_info();
dialog::addBreak(25);
dialog::addHelp();
dialog::addBack();
dialog::display();
keyhandler = [] (int sym, int uni) {
dialog::handleNavigation(sym, uni);
int lid;
if(uni >= 'a' && uni <= 'z') lid = uni - 'a';
else if(uni >= 'A' && uni <= 'Z') lid = 26 + uni - 'A';
else lid = -1;
if(lid >= 0) lid += euperpage * eupage;
if(uni == '5')
ewhichscreen ^= 3;
else if(uni == '-' || uni == PSEUDOKEY_WHEELUP || uni == PSEUDOKEY_WHEELDOWN) {
eupage++;
if(eupage * euperpage >= size(landlist)) eupage = 0;
}
else if(uni == '1') {
if(chaosUnlocked) {
stop_game_and_switch_mode(rg::chaos);
start_game();
}
}
else if(lid >= 0 && lid < size(landlist)) {
eLand nland = landlist[lid];
if(landvisited[nland]) {
firstland = specialland = nland;
stop_game_and_switch_mode(tactic::on ? rg::tactic : rg::nothing);
start_game();
}
}
else if(uni == '2' || sym == SDLK_F1) gotoHelp(euchelp);
else if(doexiton(sym, uni)) popScreen();
};
}
}
void runGeometryExperiments() {
if(!geometry)
specialland = getLandForList(cwt.c);
pushScreen(showEuclideanMenu);
}
}
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