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https://github.com/zenorogue/hyperrogue.git
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ced3bbcad4
C++20 introduces `std::format` and we `using namespace std`, so some of these would be ambiguous in C++20.
606 lines
16 KiB
C++
606 lines
16 KiB
C++
// Banach-Tarski animation in RogueViz.
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// Copyright (C) 2011-2018 Zeno Rogue, see 'hyper.cpp' for details
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// good parameters: -fixx 10 -W Cros -bantar_anim
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// use -bantar_map to see how it works
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#include "rogueviz.h"
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namespace rogueviz { namespace banachtarski {
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bool on;
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typedef vector<int> cwpath;
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cwpath invertpath(cwpath p) {
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cwpath res;
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for(int i=0; i<isize(p); i++)
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res.push_back(-p[isize(p)-1-i]);
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return res;
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}
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array<cwpath, 4> gens;
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cellwalker bttargets[4];
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cellwalker trace(cellwalker cw, cwpath& p) {
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for(int i: p) if(i == 0) cw += wstep; else cw += i;
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return cw;
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}
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set<cell*> testlist;
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map<cell*, cell*> parent;
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bool test_uniq(cellwalker cw, int z, int lev, cell *par) {
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if(testlist.count(cw.at)) return false;
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testlist.insert(cw.at);
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if(par) parent[cw.at] = par;
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if(celldist(cw.at) > 9) return true;
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/* if(cw.at->wall == waSea) {
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printf("test_uniq failed\n");
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cw.at->wall = waEternalFire;
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}
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cw.at->wall = waSea; */
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if(lev) for(int y=0; y<4; y++) if(y != z)
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if(!test_uniq(trace(cw, gens[y]), y^2, lev-1, cw.at))
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return false;
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return true;
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}
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template<class T> void recursively(cell *c, cell *c1, const T& t) {
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t(c);
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for(int i=0; i<c->type; i++)
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if(c->move(i) && c->c.spin(i) == 0 && c->move(i) != c1)
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recursively(c->move(i), c, t);
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}
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vector<cell*> allcells;
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set<cell*> seen;
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struct cellinfo {
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cell *c;
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int gid;
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int spdist;
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eWall w;
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eItem it;
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eLand land;
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eMonster mo;
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vector<int> way;
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cwpath pinv;
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};
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map<cell*, cellinfo> infos;
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int cidd = 0;
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int more = 5;
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void debugpath(vector<int>& way, cwpath& pinv) {
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printf("pinv:"); for(int i: pinv) printf(" %d", i); printf("\n");
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cellwalker cw = cwt;
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cellwalker last_cw = cw;
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int lastd = 0;
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printf("way:"); for(int i: way) {
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cellwalker cw2 = trace(cw, pinv);
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printf(" [%d]", lastd = celldist(cw2.at));
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printf(" %d", i);
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last_cw = cw;
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cw = trace(cw, gens[i]);
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}
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cellwalker cw2 = trace(cw, pinv);
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int curd;
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printf(" [%d]", curd = celldist(cw2.at));
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printf("\n");
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if(lastd == 10 && curd == 2) {
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int b = way.back();
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way.pop_back();
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printf("CW:"); for(int w: way) for(int wp: gens[w]) printf(" %d", wp);
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printf(" {");
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for(int wp: gens[b]) printf(" %d", wp);
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printf(" }");
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for(int i: pinv) printf(" %d", i);
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way.push_back(b);
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printf("\n");
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}
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}
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void recursive_paint(cwpath& pinv, vector<int>& way, int noway) {
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cellwalker cw = cwt;
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for(int i: way) cw = trace(cw, gens[i]);
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cw = trace(cw, pinv);
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cell *c = cw.at;
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/* if(cidd == 1 && way == vector<int>{1,2,3})
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c->item = itPirate; */
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if(seen.count(c)) {
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printf("seen error [%d]\n", celldist(c));
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debugpath(way, pinv);
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debugpath(infos[c].way, infos[c].pinv);
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return;
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}
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seen.insert(c);
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int hsh = 7;
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for(int w: way) hsh = 11301 * hsh + w * 37121;
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bool all0 = true;
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for(int w: way) if(w) all0 = false;
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int gid;
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/* if(d)
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c->landparam = 0x202020;
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else */
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if(all0 || way[0] == 2)
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gid = 0;
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else if(way[0] == 0)
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gid = 1;
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else if(way[0] == 1)
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gid = 2;
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else if(way[0] == 3)
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gid = 3;
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else
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gid = 3;
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infos[c] = cellinfo{c, gid, 0, waNone, itNone, laNone, moNone, way, pinv};
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// c->landparam ^= ((isize(way)&1) * 0x3F3F3F);
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// c->landparam = hsh; // d * 5 + 256 * (hsh&0xFFFF) + 0x400000;
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if(cidd>112899) c->landparam = 0x101010;
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// c->landparam = cidd * 0x1241C3;
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if(celldist(c) <= 11+more) for(int i=0; i<4; i++) if(i != noway) {
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vector<int> newway = {i};
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for(int ii: way) newway.push_back(ii);
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recursive_paint(pinv, newway, i^2);
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}
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}
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bool once = true;
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cwpath path_to(cell *c, int dir = 0) {
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cwpath p;
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cellwalker cw(c, dir);
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while(cw != cwt) {
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if(celldist((cw+wstep).at) < celldist(cw.at))
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p.push_back(0), cw += wstep;
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else {
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if(p.size() && p.back()) p.back()++;
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else p.push_back(1);
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cw += 1;
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}
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}
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return p;
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}
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void bantar_note(cell *c) {
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if(seen.count(c)) return;
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cwpath pinv = invertpath(path_to(c));
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vector<int> way;
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recursive_paint(pinv, way, 4);
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cidd++;
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}
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using bantar_config = pair<cell*, cell*>;
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tuple<ld,bool,ld> quality(bantar_config cp) {
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shiftpoint h1 = tC0(ggmatrix(cp.first));
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shiftpoint h2 = tC0(ggmatrix(cp.second));
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return make_tuple(hdist0(h1) * hdist0(h2), h2[1] > 0, abs(h2[0] / h2[1]));
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}
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int notry = 0;
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void bantar() {
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if(!on) return;
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cwt = cellwalker(currentmap->gamestart(), 0);
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centerover = cwt.at;
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infos.clear();
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vector<bantar_config> genchoices;
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int lnotry = notry;
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{
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celllister clgen(cwt.at, 4, 1000000, NULL);
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for(cell *c1: clgen.lst) if(c1->type == S7)
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for(cell *c2: clgen.lst) if(c2->type == S7)
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genchoices.emplace_back(c1, c2);
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stable_sort(genchoices.begin(), genchoices.end(), [] (const bantar_config b1, const bantar_config b2) { return quality(b1) < quality(b2); });
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for(bantar_config bc: genchoices) {
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if(get<0>(quality(bc)) >= 4) exit(1);
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for(int i=0; i<S7; i++)
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for(int j=0; j<S7; j++) {
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gens[0] = path_to(bc.first, i);
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gens[1] = path_to(bc.second, j);
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gens[2] = invertpath(gens[0]);
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gens[3] = invertpath(gens[1]);
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testlist.clear();
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parent.clear();
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bool tres = test_uniq(cwt, -1, 15, NULL);
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auto q = quality(bc);
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if(tres) {
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DEBB(DF_LOG, ("gens = ", gens));
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DEBB(DF_LOG, ("testing quality ", q, " ", make_pair(celldist(bc.first), celldist(bc.second)), ", result = ", tres));
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lnotry--; if(lnotry <= 0) goto picked;
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}
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// if(tres) goto picked;
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}
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}
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}
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picked:
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/*
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if(S7 == 8) {
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gens[1] = {0,4,0,4};
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gens[0] = {2,0,2};
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}
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else {
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gens[0] = {0,4,0,4};
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gens[1] = {2,0,4,0,2};
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}
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gens[2] = invertpath(gens[0]);
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gens[3] = invertpath(gens[1]);
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*/
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for(int i=0; i<4; i++) bttargets[i] = trace(cwt, gens[i]);
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celllister cl(cwt.at, 8+more, 1000000, NULL);
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// recursively(cwt.at, NULL, [] (cell *c) { allcells.push_back(c); } );
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for(cell* c: cl.lst) bantar_note(c);
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for(cell *c: cl.lst) if(infos.count(c) && infos[c].gid == 0)
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forCellEx(c2, c) if(infos.count(c2) && infos[c2].gid != 0)
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c->bardir = NOBARRIERS;
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for(int it=0; it<ittypes; it++) if(itemclass(eItem(it)) == IC_TREASURE)
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items[it] = 200;
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}
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vector<int> spdist;
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int curpart;
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/* bool hidebad(cell *c, const transmatrix& V) {
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if(c->wparam != curpart && curpart < 4) return true;
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return false;
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} */
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heptspin cth(cellwalker cw) {
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return heptspin(cw.at->master, cw.spin, cw.mirrored);
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}
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ld alphaof(hyperpoint h) {
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return atan2(h[1], h[0]);
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}
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#define ForInfos for(auto& cci: infos)
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void bantar_frame() {
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ForInfos
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cci.second.w = cci.second.c->wall,
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cci.second.it = cci.second.c->item,
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cci.second.mo = cci.second.c->monst,
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cci.second.land = cci.second.c->land,
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cci.second.c->wparam = cci.second.gid;
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calcparam();
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vector<unique_ptr<drawqueueitem>> subscr[4];
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compute_graphical_distance();
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const int tmax = 2000;
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int t = ticks % (5*tmax);
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int tphase = t / tmax, tsub = t % tmax;
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ld xdst, ydst;
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for(int i=0; i<4; i++) {
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ptds.clear();
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cellwalker xcw;
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ld part = 1;
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if(i == 1) xcw = bttargets[0];
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else if(i == 2) xcw = bttargets[1], part = .5;
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else if(i == 3) xcw = bttargets[3], part = .5;
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else xcw = cwt;
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View = Id;
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transmatrix tView = actualV(cth(xcw), Id) * calc_relative_matrix(cwt.at, xcw.at, C0) * inverse(actualV(cth(cwt), Id));
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if(tphase < 2) part = 0;
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else if(tphase == 2)
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part = part * tsub / tmax;
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transmatrix itView = inverse(tView);
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transmatrix z = rspintox(itView*C0) * xpush(hdist0(itView*C0) * part) * spintox(itView*C0);
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transmatrix ful = rspintox(itView*C0) * xpush(hdist0(itView*C0) * tmax / tmax) * spintox(itView*C0); // rgpushxto0(itView*C0);
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hyperpoint C1 = xpush0(1);
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ld bof = alphaof(tView * ful * C1);
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z = z * spin(bof * part);
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View = inverse(z);
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if(tphase == 0 && tsub > tmax/2) {
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ld alpha = rand() % 10;
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ld d = (rand() % 1000) / 20000. * (tsub-tmax/2) / (tmax/2);
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View = spin(alpha) * xpush(d) * spin(-alpha);
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}
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/* int phasemask = 3;
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if(tphase == 0) phasemask = 0;
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if(tphase == 4) phasemask = 2; */
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ForInfos if(cci.second.gid == i)
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cci.second.c->wall = cci.second.w,
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cci.second.c->item = cci.second.it,
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cci.second.c->monst = cci.second.mo,
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cci.second.c->land = cci.second.land;
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else
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cci.second.c->wall = waInvisibleFloor,
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cci.second.c->item = itNone,
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cci.second.c->monst = moNone,
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cci.second.c->land = laNone;
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mapeditor::drawplayer = cwt.at->wparam == i;
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switch(tphase) {
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case 0:
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xdst = ydst = 0;
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curpart = 4;
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break;
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case 1:
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xdst = ydst = .5 * tsub / tmax;
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break;
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case 2:
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xdst = ydst = .5;
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break;
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case 3:
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xdst = .5, ydst = .5 * (tmax-tsub) / tmax;
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break;
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case 4:
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xdst = .5, ydst = 0;
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break;
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default:
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xdst = ydst = 0;
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}
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/* ld xpos = (!(i&2)) ? xdst : -xdst;
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ld ypos = (!(i&1)) ? ydst : -ydst; */
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gmatrix.clear();
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drawthemap();
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if(0) for(auto p: parent) if(gmatrix.count(p.first) && gmatrix.count(p.second) && infos[p.first].gid == i && infos[p.second].gid == i)
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queueline(tC0(gmatrix[p.first]), tC0(gmatrix[p.second]), 0xFFFFFFFF, 2);
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subscr[i] = std::move(ptds);
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}
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map<int, map<int, vector<unique_ptr<drawqueueitem>>>> xptds;
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for(int i=0; i<4; i++) for(auto& p: subscr[i])
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xptds[int(p->prio)][i].push_back(std::move(p));
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for(auto& sm: xptds) for(auto& sm2: sm.second) {
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int i = sm2.first;
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ptds.clear();
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for(auto& p: sm2.second) ptds.push_back(std::move(p));
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pconf.scale = .5;
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pconf.xposition = (!(i&2)) ? xdst : -xdst;
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pconf.yposition = (!(i&1)) ? ydst : -ydst;
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calcparam();
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drawqueue();
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}
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ForInfos
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cci.second.c->wall = cci.second.w,
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cci.second.c->item = cci.second.it,
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cci.second.c->monst = cci.second.mo,
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cci.second.c->land = cci.second.land;
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ptds.clear();
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}
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void bantar_anim() {
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vid.aurastr = 0;
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bool breakanim = false;
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int t = SDL_GetTicks();
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drawthemap();
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while(!breakanim) {
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ticks = SDL_GetTicks() - t;
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pushScreen(bantar_frame);
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drawscreen();
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popScreen();
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SDL_Event ev;
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while(SDL_PollEvent(&ev))
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if(ev.type == SDL_KEYDOWN || ev.type == SDL_MOUSEBUTTONDOWN)
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breakanim = true;
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}
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mapeditor::drawplayer = true;
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pconf.xposition = pconf.yposition = 0;
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pconf.scale = 1;
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}
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bool bmap;
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void bantar_stats() {
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if(bmap) {
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vid.linewidth *= (inHighQual ? 10 : 2);
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for(auto p: parent) if(gmatrix.count(p.first) && gmatrix.count(p.second))
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queueline(tC0(gmatrix[p.first]), tC0(gmatrix[p.second]), 0x00FF00FF, 4);
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double x = cgi.hexvdist;
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for(auto gm: gmatrix) for(cell *c: {gm.first})
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if(euclid || !pseudohept(c)) for(int t=0; t<c->type; t++) if(infos.count(c) && infos.count(c->move(t)) && c->move(t) && infos[c].gid != infos[c->move(t)].gid)
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if(euclid ? c->move(t)<c : (((t^1)&1) || c->move(t) < c))
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queueline(gm.second * ddspin(c,t,-M_PI/S6) * xpush(x) * C0,
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gm.second * ddspin(c,t,+M_PI/S6) * xpush(x) * C0,
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0xFF0000FF, 1);
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vid.linewidth /= (inHighQual ? 10 : 2);
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drawqueue();
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}
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}
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void init_bantar() {
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if(!on) {
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stop_game();
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on = true;
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start_game();
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}
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}
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void init_bantar_map() {
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bmap = true;
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ForInfos {
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int hsh = 0x202047;
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for(int w: cci.second.way) hsh = (11301 * hsh + w * 37121) & 0x7F7F7F;
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cci.second.c->landparam = hsh;
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cci.second.c->land = laCanvas;
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cci.second.c->wall = waNone;
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cci.second.c->item = itNone;
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cci.second.c->monst = moNone;
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}
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}
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// see: https://twitter.com/ZenoRogue/status/1001127253747658752
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// see also: https://twitter.com/ZenoRogue/status/1000043540985057280 (older version)
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void bantar_record() {
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int TSIZE = rug::texturesize; // recommended 2048
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resetbuffer rb;
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renderbuffer rbuf(TSIZE, TSIZE, true);
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|
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int fr = 0;
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for(int i=0; i < 10000; i += 33) {
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if(i % 1000 == 999) i++;
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ticks = i;
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|
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rbuf.enable();
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vid.xres = vid.yres = TSIZE;
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banachtarski::bantar_frame();
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|
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IMAGESAVE(rbuf.render(), ("bantar/" + hr::format("%05d", fr) + IMAGEEXT).c_str());
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printf("GL %5d/%5d\n", i, 10000);
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fr++;
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}
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|
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rb.reset();
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}
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|
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int readArgs() {
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using namespace arg;
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|
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if(0) ;
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else if(argis("-bantar_anim")) {
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PHASE(3);
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init_bantar();
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peace::on = true;
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airmap.clear();
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ForInfos if(cci.second.c->monst == moAirElemental)
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cci.second.c->monst = moFireElemental;
|
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bantar_anim();
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}
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else if(argis("-bantar_test")) {
|
|
PHASE(3);
|
|
init_bantar();
|
|
peace::on = true;
|
|
airmap.clear();
|
|
ForInfos if(cci.second.c->monst == moAirElemental)
|
|
cci.second.c->monst = moFireElemental;
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|
ForInfos if(cci.second.gid != 2)
|
|
cci.second.c->wall = waInvisibleFloor,
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cci.second.c->item = itNone,
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|
cci.second.c->monst = moNone,
|
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cci.second.c->land = laNone;
|
|
airmap.clear();
|
|
havewhat = 0;
|
|
}
|
|
else if(argis("-bantar_map")) {
|
|
init_bantar();
|
|
init_bantar_map();
|
|
}
|
|
else if(argis("-btry")) {
|
|
shift(); notry = argi();
|
|
}
|
|
else if(argis("-bantar_record")) {
|
|
using namespace banachtarski;
|
|
PHASE(3);
|
|
peace::on = true;
|
|
airmap.clear();
|
|
ForInfos if(cci.second.c->monst == moAirElemental)
|
|
cci.second.c->monst = moFireElemental;
|
|
bantar_record();
|
|
}
|
|
else return 1;
|
|
return 0;
|
|
}
|
|
|
|
auto hook = addHook(hooks_args, 100, readArgs)
|
|
+ addHook(hooks_initgame, 100, bantar)
|
|
+ addHook(hooks_frame, 100, bantar_stats)
|
|
+ addHook_rvslides(140, [] (string s, vector<tour::slide>& v) {
|
|
if(s != "mixed") return;
|
|
using namespace pres;
|
|
v.push_back(
|
|
tour::slide{"Banach-Tarski-like", 62, LEGAL::NONE,
|
|
"Banach-Tarski-like decomposition. Break a hyperbolic plane into two hyperbolic planes.\n\n"
|
|
"Press '5' to show the decomposition. Press any key to stop.\n\n"
|
|
"You will see a map of the decomposition. Press '5' again to return.",
|
|
|
|
[] (presmode mode) {
|
|
slidecommand = "Banach-Tarski switch";
|
|
slide_url(mode, 't', "Twitter link", "https://twitter.com/ZenoRogue/status/1001127253747658752");
|
|
|
|
if(mode == 3) {
|
|
while(gamestack::pushed()) stop_game(), gamestack::pop();
|
|
banachtarski::bmap = false;
|
|
banachtarski::on = false;
|
|
}
|
|
if(mode == 4) {
|
|
if(!banachtarski::on) {
|
|
bool b = mapeditor::drawplayer;
|
|
specialland = cwt.at->land;
|
|
gamestack::push();
|
|
banachtarski::init_bantar();
|
|
airmap.clear();
|
|
dynamicval<int> vs(sightrange_bonus, 3);
|
|
dynamicval<int> vg(genrange_bonus, 3);
|
|
doOvergenerate();
|
|
banachtarski::bantar_anim();
|
|
quitmainloop = false;
|
|
mapeditor::drawplayer = b;
|
|
banachtarski::init_bantar_map();
|
|
resetview();
|
|
}
|
|
else if(banachtarski::on && banachtarski::bmap) {
|
|
banachtarski::bmap = false;
|
|
banachtarski::on = false;
|
|
gamestack::pop();
|
|
}
|
|
}
|
|
}}
|
|
);
|
|
});
|
|
|
|
}}
|