// Hyperbolic Rogue // This file implements the multi-dimensional (aka crystal) geometries. // Copyright (C) 2011-2018 Zeno Rogue, see 'hyper.cpp' for details namespace hr { namespace crystal { bool pure() { return PURE && ginf[gCrystal].vertex == 4; } bool view_coordinates = false; const int MAXDIM = 7; typedef array coord; static const coord c0 = {}; typedef array ldcoord; static const ldcoord ldc0 = {}; ldcoord told(coord c) { ldcoord a; for(int i=0; i> 1)); } void resize2(vector>& v, int a, int b, int z) { v.clear(); v.resize(a); for(auto& w: v) w.resize(b, z); } const int FULLSTEP = 2; const int HALFSTEP = 1; struct crystal_structure { int dir; int dim; vector> cmap; vector> next; vector> prev; vector> order; void coord_to_next() { resize2(next, 1< poor.dir) { int which = next[a][poor.dir]; int a1 = a ^ tocode(which); may_next_insert(a1, which^1, poor.dir); may_next_insert(a ^ mm, which, poor.dir^1); which = prev[a][poor.dir]; a1 = a ^ tocode(which); may_prev_insert(a1, which^1, poor.dir); } // println(hlog, next); if(errors) { printf("errors: %d\n", errors); exit(1);; } int unf = 0; for(int a=0; a<(1<= (1<<(dim-1))) take_what = dir-1; next[i][prev[i][take_what]] = next[i][take_what], prev[i][next[i][take_what]] = prev[i][take_what], next[i].resize(dir), prev[i].resize(dir); } } void build() { dir = 4; dim = 2; next.resize(4, {2,3,1,0}); next_to_prev(); while(dir < S7) { crystal_structure csx = move(*this); add_dimension_to(csx); } if(dir > S7) remove_half_dimension(); next_to_coord(); coord_to_order(); coord_to_next(); if(count_bugs()) { printf("bugs found\n"); } if(dir > MAX_EDGE || dim > MAXDIM) { printf("Dimension or directions exceeded -- I have generated it, but won't play"); exit(0); } } }; struct lwalker { crystal_structure& cs; int id; int spin; lwalker(crystal_structure& cs) : cs(cs) {} void operator = (const lwalker& x) { id = x.id; spin = x.spin; } }; lwalker operator +(lwalker a, int v) { a.spin = gmod(a.spin + v, a.cs.dir); return a; } lwalker operator +(lwalker a, wstep_t) { a.spin = a.cs.cmap[a.id][a.spin]; a.id ^= tocode(a.spin); a.spin = a.cs.order[a.id][a.spin^1]; return a; } coord add(coord c, lwalker a, int val) { int code = a.cs.cmap[a.id][a.spin]; c[code>>1] += ((code&1) ? val : -val); return c; } coord add(coord c, int cname, int val) { int dim = (cname>>1); c[dim] = (c[dim] + (cname&1?val:-val)); return c; } ld hypot2(crystal_structure& cs, ldcoord co1, ldcoord co2) { int result = 0; for(int a=0; a data; int Xmod, cycle; int zeroshift; int coordid; }; struct hrmap_crystal : hrmap { heptagon *getOrigin() { return get_heptagon_at(c0, S7); } map hcoords; map heptagon_at; map landmemo; unordered_map> distmemo; map sgc; cell *camelot_center; crystal_structure cs; east_structure east; lwalker makewalker(coord c, int d) { lwalker a(cs); a.id = 0; for(int i=0; i (deg); h->alt = NULL; h->cdata = NULL; h->c7 = newCell(deg, h); h->distance = 0; for(int i=0; idistance += abs(c[i]); h->distance /= 2; hcoords[h] = c; // for(int i=0; i<6; i++) crystalstep(h, i); return h; } ldcoord get_coord(cell *c) { auto b = sgc.emplace(c, ldc0); ldcoord& res = b.first->second; if(b.second) { if(c->master->c7 != c) { for(int i=0; itype; i+=2) res = res + told(hcoords[c->cmove(i)->master]); res = res * 2 / c->type; } else res = told(hcoords[c->master]); } return res; } coord long_representant(cell *c); int get_east(cell *c); void build_east(int cid); void verify() { } void prepare_east(); }; hrmap_crystal *crystal_map() { return (hrmap_crystal*) currentmap; } bool is_bi(crystal_structure& cs, coord co) { for(int i=0; ihcoords.count(h)) { printf("not found\n"); return; } auto co = m->hcoords[h]; if(is_bi(m->cs, co)) { heptspin hs(h, d); (hs + 1 + wstep + 1).cpeek(); return; } auto lw = m->makewalker(co, d); if(ginf[gCrystal].vertex == 4) { auto c1 = add(co, lw, FULLSTEP); auto lw1 = lw+wstep; h->c.connect(d, heptspin(m->get_heptagon_at(c1, S7), lw1.spin)); } else { auto coc = add(add(co, lw, HALFSTEP), lw+1, HALFSTEP); auto hc = m->get_heptagon_at(coc, 8); for(int a=0; a<8; a+=2) { hc->c.connect(a, heptspin(h, lw.spin)); if(h->modmove(lw.spin-1)) { hc->c.connect(a+1, heptspin(h, lw.spin) - 1 + wstep - 1); } co = add(co, lw, FULLSTEP); lw = lw + wstep + (-1); h = m->get_heptagon_at(co, S7); } } } array, MAX_EDGE> distlimit_table = {{ {SEE_ALL,SEE_ALL}, {SEE_ALL,SEE_ALL}, {SEE_ALL,SEE_ALL}, {SEE_ALL,SEE_ALL}, {15, 10}, {6, 4}, {5, 3}, {4, 3}, {4, 3}, {3, 2}, {3, 2}, {3, 2}, {3, 2}, {3, 2} }}; color_t colorize(cell *c) { auto m = crystal_map(); ldcoord co = m->get_coord(c); color_t res; res = 0; for(int i=0; i<3; i++) res |= ((int)(((i == 2 && S7 == 5) ? (128 + co[i] * 50) : (255&int(128 + co[i] * 50))))) << (8*i); return res; } bool crystal_cell(cell *c, transmatrix V) { if(geometry != gCrystal) return false; if(view_coordinates && cheater) { int d = dist_alt(c); queuestr(V, 0.3, its(d), 0xFFFFFF, 1); } if(view_coordinates && cheater) for(int i=0; imaster->c7 == c) { transmatrix V1 = cellrelmatrix(c, i); ld dist = hdist0(V1 * C0); ld alpha = -atan2(V1 * C0); transmatrix T = V * spin(alpha) * xpush(dist*.3); auto co = m->hcoords[c->master]; int our_id = 0; for(int a=0; acs.cmap[our_id][i]; int coordcolors[MAXDIM] = {0x4040D0, 0x40D040, 0xD04040, 0xFFD500, 0xF000F0, 0x00F0F0, 0xF0F0F0 }; queuestr(T, 0.3, its(co[cx>>1] / (ginf[gCrystal].vertex == 3 ? HALFSTEP : FULLSTEP)), coordcolors[cx>>1], 1); } } return false; } int precise_distance(cell *c1, cell *c2) { if(c1 == c2) return 0; auto m = crystal_map(); if(pure()) { coord co1 = m->hcoords[c1->master]; coord co2 = m->hcoords[c2->master]; int result = 0; for(int a=0; acs.dim; a++) result += abs(co1[a] - co2[a]); return result / FULLSTEP; } auto& distmemo = m->distmemo; if(c2 == currentmap->gamestart()) swap(c1, c2); else if(isize(distmemo[c2]) > isize(distmemo[c1])) swap(c1, c2); if(distmemo[c1].count(c2)) return distmemo[c1][c2]; int zmin = 999999, zmax = -99; forCellEx(c3, c2) if(distmemo[c1].count(c3)) { int d = distmemo[c1][c3]; if(d < zmin) zmin = d; if(d > zmax) zmax = d; } if(zmin+1 < zmax-1) println(hlog, "zmin < zmax"); if(zmin+1 == zmax-1) return distmemo[c1][c2] = zmin+1; ldcoord co1 = m->get_coord(c1); ldcoord co2 = m->get_coord(c2) - co1; // draw a cylinder from co1 to co2, and find the solution by going through that cylinder ldcoord mul = co2 / sqrt(co2|co2); ld mmax = (co2|mul); manual_celllister cl; cl.add(c2); int steps = 0; int nextsteps = 1; for(int i=0; iget_coord(c3) - co1; ld dot = (h|mul); if(dot > mmax + 2.5) continue; for(int k=0; kcs.dim; k++) if(abs(h[k] - dot * mul[k]) > 4.1) goto next3; cl.add(c3); next3: ; } } println(hlog, "Error: distance not found"); return 999999; } ld space_distance(cell *c1, cell *c2) { auto m = crystal_map(); ldcoord co1 = m->get_coord(c1); ldcoord co2 = m->get_coord(c2); return sqrt(hypot2(m->cs, co1, co2)); } int dist_relative(cell *c) { auto m = crystal_map(); auto& cc = m->camelot_center; int r = roundTableRadius(NULL); cell *start = m->gamestart(); if(!cc) { printf("Finding Camelot center..."); cc = start; while(precise_distance(cc, start) < r + 5) cc = cc->cmove(hrand(cc->type)); } if(pure()) return precise_distance(c, cc) - r; ld sdmul = (r+5) / space_distance(cc, start); ld dis = space_distance(cc, c) * sdmul; println(hlog, "dis = ", dis); if(dis < r) return int(dis) - r; else { forCellCM(c1, c) if(space_distance(cc, c1) * sdmul < r) return 0; return int(dis) + 1 - r; } } coord hrmap_crystal::long_representant(cell *c) { auto& coordid = east.coordid; auto co = roundcoord(get_coord(c) * Modval/4); for(int s=0; s full_data; manual_celllister cl; for(int i=0; i<(1<>j)&1) * 2; cell *cc = get_heptagon_at(co, cs.dir)->c7; cl.add(cc); } map stepat; int steps = 0, nextstep = isize(cl.lst); cycle = 0; int incycle = 0; int needcycle = 16 + nextstep; int elongcycle = 0; Xmod = Modval; int modmul = 1; for(int i=0; i needcycle * modmul) break; if(i == nextstep) steps++, nextstep = isize(cl.lst); cell *c = cl.lst[i]; auto co = long_representant(c); if(co[coordid] < -Modval) continue; if(full_data.count(co)) continue; full_data[co] = steps; auto co1 = co; co1[coordid] -= Xmod; auto co2 = co; co2[coordid] = gmod(co2[coordid], Xmod); if(full_data.count(co1)) { int ncycle = steps - full_data[co1]; if(ncycle != cycle) incycle = 1, cycle = ncycle; else incycle++; int dd = gdiv(co[coordid], Xmod); // println(hlog, co, " set data at ", co2, " from ", data[co2], " to ", steps - dd * cycle, " at step ", steps); data[co2] = steps - dd * cycle; elongcycle++; if(elongcycle > 2 * needcycle * modmul) Xmod += Modval, elongcycle = 0, modmul++; } else incycle = 0, needcycle++, elongcycle = 0; forCellCM(c1, c) cl.add(c1); } east.zeroshift = 0; east.zeroshift = -get_east(cl.lst[0]); println(hlog, "cycle found: ", cycle, " Xmod = ", Xmod, " on list: ", isize(cl.lst), " zeroshift: ", east.zeroshift); } void hrmap_crystal::prepare_east() { if(east.data.empty()) build_east(1); } int dist_alt(cell *c) { auto m = crystal_map(); if(specialland == laCamelot && m->camelot_center) { if(pure()) return precise_distance(c, m->camelot_center); if(c == m->camelot_center) return 0; return 1 + int(4 * space_distance(m->camelot_center, c)); } else { m->prepare_east(); return m->get_east(c); } } ld crug_rotation[MAXDIM][MAXDIM]; int ho = 1; void init_rotation() { for(int i=0; ics; if(ho & 1) { for(int i=cs.dim-1; i>=1; i--) { ld c = cos(M_PI / 2 / (i+1)); ld s = sin(M_PI / 2 / (i+1)); for(int j=0; jcs; for(int i=0; iget_coord(c); v->flat = coord_to_flat(co); v->valid = true; rugpoint *p[MAX_EDGE]; for(int i=0; itype; i++) { p[i] = addRugpoint(V * get_corner_position(c, i), 0); p[i]->valid = true; if(VALENCE == 4) p[i]->flat = coord_to_flat((m->get_coord(c->cmove(i)) + m->get_coord(c->cmodmove(i-1))) / 2); else p[i]->flat = coord_to_flat((m->get_coord(c->cmove(i)) + m->get_coord(c->cmodmove(i-1)) + co) / 3); } for(int i=0; itype; i++) addTriangle(v, p[i], p[(i+1) % c->type]); } } eLand getCLand(int x) { auto& landmemo = crystal_map()->landmemo; if(landmemo.count(x)) return landmemo[x]; if(x > 0) return landmemo[x] = getNewLand(landmemo[x-1]); if(x < 0) return landmemo[x] = getNewLand(landmemo[x+1]); return landmemo[x] = laCrossroads; } void set_land(cell *c) { setland(c, specialland); auto m = crystal_map(); auto co = m->get_coord(c); auto co1 = roundcoord(co * 60); int cv = co1[0]; if(specialland == laCrossroads) { eLand l1 = getCLand(gdiv(cv, 360)); eLand l2 = getCLand(gdiv(cv+59, 360)); if(l1 != l2) setland(c, laBarrier); else setland(c, l1); } if(specialland == laCamelot) { setland(c, laCrossroads); buildCamelot(c); } if(specialland == laTerracotta) { int v = dist_alt(c); if(((v&15) == 8) && hrand(100) < 90) c->wall = waMercury; } if(among(specialland, laOcean, laIvoryTower, laDungeon)) { int v = dist_alt(c); if(v == 0) c->land = laCrossroads4; else if(v > 0) c->landparam = v; else c->landparam = -v; } if(specialland == laWarpCoast) { if(gmod(cv, 240) >= 120) c->land = laWarpSea; } } int readArgs() { using namespace arg; if(0) ; else if(argis("-crystal")) { PHASE(2); stop_game(); geometry = gCrystal; variation = eVariation::pure; shift(); int N = argi(); ginf[gCrystal].sides = N; ginf[gCrystal].vertex = 4; if(N < MAX_EDGE) ginf[gCrystal].distlimit = distlimit_table[N]; add_bitruncation = false; } else if(argis("-crystalb")) { PHASE(2); stop_game(); geometry = gCrystal; variation = eVariation::bitruncated; ginf[gCrystal].sides = 8; ginf[gCrystal].vertex = 3; ginf[gCrystal].distlimit = {7, 5}; add_bitruncation = true; } else if(argis("-cview")) { view_coordinates = true; } else if(argis("-crug")) { PHASE(3); if(rug::rugged) rug::close(); calcparam(); rug::reopen(); init_rotation(); surface::sh = surface::dsCrystal; rug::good_shape = true; } else return 1; return 0; } hrmap *new_map() { return new hrmap_crystal; } auto crystalhook = addHook(hooks_args, 100, readArgs) + addHook(hooks_drawcell, 100, crystal_cell); } }