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692 lines
19 KiB
C++
692 lines
19 KiB
C++
// Hyperbolic Rogue -- Arbitrary Tilings
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// Copyright (C) 2011-2019 Zeno Rogue, see 'hyper.cpp' for details
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/** \file arbitrile.cpp
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* \brief Arbitrary tilings
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*
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* Arbitrary tilings, defined in .tes files.
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*/
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#include "hyper.h"
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namespace hr {
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EX namespace arb {
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#if HDR
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struct shape {
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int id;
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int flags;
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vector<hyperpoint> vertices;
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vector<ld> angles;
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vector<ld> edges;
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vector<tuple<int, int, int>> connections;
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int size() const { return isize(vertices); }
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void build_from_angles_edges();
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vector<pair<int, int> > sublines;
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};
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struct arbi_tiling {
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int order;
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bool have_line, have_ph;
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vector<shape> shapes;
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string name;
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string comment;
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geometryinfo1& get_geometry();
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eGeometryClass get_class() { return get_geometry().kind; }
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ld scale();
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};
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#endif
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EX arbi_tiling current;
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/** id of vertex in the arbitrary tiling */
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EX short& id_of(heptagon *h) { return h->zebraval; }
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struct hr_polygon_error : hr_exception {
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vector<transmatrix> v;
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eGeometryClass c;
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int id;
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map<string, cld> params;
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hr_polygon_error(const vector<transmatrix>& _v, int _id) : v(_v), c(cgclass), id(_id) {}
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~hr_polygon_error() noexcept(true) {}
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};
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struct connection_debug_request : hr_exception {
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int id;
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eGeometryClass c;
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connection_debug_request(int i): id(i), c(cgclass) {}
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};
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void ensure_geometry(eGeometryClass c) {
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stop_game();
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if(c != cgclass) {
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if(c == gcEuclid) set_geometry(gEuclid);
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if(c == gcHyperbolic) set_geometry(gNormal);
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if(c == gcSphere) set_geometry(gSphere);
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}
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if(specialland != laCanvas) {
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canvas_default_wall = waInvisibleFloor;
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patterns::whichCanvas = 'g';
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patterns::canvasback = 0xFFFFFF;
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firstland = specialland = laCanvas;
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}
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start_game();
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}
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void start_poly_debugger(hr_polygon_error& err) {
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ensure_geometry(err.c);
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drawthemap();
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mapeditor::drawing_tool = true;
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pushScreen(mapeditor::showDrawEditor);
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mapeditor::initdraw(cwt.at);
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int n = isize(err.v);
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mapeditor::dtcolor = 0xFF0000FF;
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mapeditor::dtwidth = 0.02;
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for(int i=0; i<n-1; i++)
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mapeditor::dt_add_line(tC0(err.v[i]), tC0(err.v[i+1]), 0);
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mapeditor::dtcolor = 0xFFFFFFFF;
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for(int i=0; i<n; i++)
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mapeditor::dt_add_text(tC0(err.v[i]), 0.5, its(i));
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}
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void shape::build_from_angles_edges() {
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transmatrix at = Id;
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vertices.clear();
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int n = isize(angles);
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hyperpoint ctr = Hypc;
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vector<transmatrix> matrices;
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for(int i=0; i<n; i++) {
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matrices.push_back(at);
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println(hlog, "at = ", at);
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vertices.push_back(tC0(at));
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ctr += tC0(at);
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at = at * xpush(edges[i]) * spin(angles[i]);
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}
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matrices.push_back(at);
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if(!eqmatrix(at, Id)) throw hr_polygon_error(matrices, id);
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if(sqhypot_d(3, ctr) < 1e-2) {
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// this may happen for some spherical tilings
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// try to move towards the center
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println(hlog, "special case encountered");
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for(int i=0; i<n; i++) {
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ctr += at * xpush(edges[i]) * spin((angles[i]+M_PI)/2) * xpush0(.01);
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at = at * xpush(edges[i]) * spin(angles[i]);
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}
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println(hlog, "ctr = ", ctr);
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}
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ctr = normalize(ctr);
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for(auto& v: vertices) v = gpushxto0(ctr) * v;
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}
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bool correct_index(int index, int size) { return index >= 0 && index < size; }
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template<class T> bool correct_index(int index, const T& v) { return correct_index(index, isize(v)); }
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template<class T> void verify_index(int index, const T& v, exp_parser& ep) { if(!correct_index(index, v)) throw hr_parse_exception("bad index: " + its(index) + " at " + ep.where()); }
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string unnamed = "unnamed";
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EX void load_tile(exp_parser& ep, bool unit) {
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current.shapes.emplace_back();
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auto& cc = current.shapes.back();
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cc.id = isize(current.shapes) - 1;
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cc.flags = 0;
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while(ep.next() != ')') {
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cld dist = 1;
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if(!unit) {
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dist = ep.parse(0);
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ep.force_eat(",");
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}
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cld angle = ep.parse(0);
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cc.edges.push_back(ep.validate_real(dist * ep.extra_params["distunit"]));
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cc.angles.push_back(ep.validate_real(angle * ep.extra_params["angleunit"] + ep.extra_params["angleofs"]));
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if(ep.eat(",")) continue;
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else if(ep.eat(")")) break;
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else throw hr_parse_exception("expecting , or )");
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}
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try {
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cc.build_from_angles_edges();
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}
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catch(hr_parse_exception& ex) {
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throw hr_parse_exception(ex.s + ep.where());
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}
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catch(hr_polygon_error& poly) {
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poly.params = ep.extra_params;
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throw;
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}
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cc.connections.resize(cc.size());
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for(int i=0; i<isize(cc.connections); i++)
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cc.connections[i] = make_tuple(cc.id, i, false);
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}
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EX void load(const string& fname) {
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fhstream f(fname, "rt");
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string s;
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while(true) {
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int c = fgetc(f.f);
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if(c < 0) break;
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s += c;
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}
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auto& c = current;
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c.order++;
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c.shapes.clear();
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c.name = unnamed;
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c.comment = "";
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exp_parser ep;
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ep.s = s;
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ld angleunit = 1, distunit = 1, angleofs = 0;
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auto addflag = [&] (int f) {
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int ai;
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if(ep.next() == ')') ai = isize(c.shapes)-1;
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else ai = ep.iparse();
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verify_index(ai, c.shapes, ep);
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c.shapes[ai].flags |= f;
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ep.force_eat(")");
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};
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while(true) {
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ep.extra_params["distunit"] = distunit;
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ep.extra_params["angleunit"] = angleunit;
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ep.extra_params["angleofs"] = angleofs;
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ep.skip_white();
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if(ep.next() == 0) break;
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if(ep.eat("#")) {
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bool doubled = ep.eat("#");
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while(ep.eat(" ")) ;
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string s = "";
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while(ep.next() >= 32) s += ep.next(), ep.at++;
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if(doubled) {
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if(c.name == unnamed) c.name = s;
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else {
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c.comment += s;
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c.comment += "\n";
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}
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}
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}
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else if(ep.eat("e2.")) {
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ginf[gArbitrary].g = giEuclid2;
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ginf[gArbitrary].sides = 7;
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set_flag(ginf[gArbitrary].flags, qBOUNDED, false);
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}
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else if(ep.eat("h2.")) {
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ginf[gArbitrary].g = giHyperb2;
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ginf[gArbitrary].sides = 7;
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set_flag(ginf[gArbitrary].flags, qBOUNDED, false);
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}
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else if(ep.eat("s2.")) {
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ginf[gArbitrary].g = giSphere2;
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ginf[gArbitrary].sides = 5;
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set_flag(ginf[gArbitrary].flags, qBOUNDED, false);
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}
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else if(ep.eat("angleunit(")) angleunit = real(ep.parsepar());
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else if(ep.eat("angleofs(")) angleofs = real(ep.parsepar());
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else if(ep.eat("distunit(")) distunit = real(ep.parsepar());
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else if(ep.eat("line(")) {
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addflag(arcm::sfLINE);
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c.have_line = true;
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}
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else if(ep.eat("grave(")) {
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addflag(arcm::sfPH);
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c.have_ph = true;
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}
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else if(ep.eat("let(")) {
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string tok = ep.next_token();
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ep.force_eat("=");
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ep.extra_params[tok] =ep.parsepar();
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if(debugflags & DF_GEOM)
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println(hlog, "let ", tok, " = ", real(ep.extra_params[tok]));
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}
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else if(ep.eat("unittile(")) load_tile(ep, true);
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else if(ep.eat("tile(")) load_tile(ep, false);
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else if(ep.eat("conway(\"")) {
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string s = "";
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while(true) {
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int m = 0;
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if(ep.eat("(")) m = 0;
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else if(ep.eat("[")) m = 1;
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else if(ep.eat("\"")) break;
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else throw hr_parse_exception("cannot parse Conway notation, " + ep.where());
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int ai = 0;
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int as = ep.iparse();
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while(ep.eat("'")) ai++;
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if(ep.eat("@")) ai = ep.iparse();
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int bi = 0, bs = 0;
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if(ep.eat(")") || ep.eat("]")) bs = as, bi = ai;
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else {
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bs = ep.iparse();
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while(ep.eat("'")) bi++;
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if(ep.eat("@")) bi = ep.iparse();
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}
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if(ep.eat(")") || ep.eat("]")) {}
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c.shapes[ai].connections[as] = make_tuple(bi, bs, m);
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c.shapes[bi].connections[bs] = make_tuple(ai, as, m);
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}
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ep.force_eat(")");
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}
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else if(ep.eat("c(")) {
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int ai = ep.iparse(); verify_index(ai, c.shapes, ep); ep.force_eat(",");
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int as = ep.iparse(); verify_index(as, c.shapes[ai], ep); ep.force_eat(",");
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int bi = ep.iparse(); verify_index(bi, c.shapes, ep); ep.force_eat(",");
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int bs = ep.iparse(); verify_index(bs, c.shapes[bi], ep); ep.force_eat(",");
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int m = ep.iparse(); ep.force_eat(")");
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c.shapes[ai].connections[as] = make_tuple(bi, bs, m);
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c.shapes[bi].connections[bs] = make_tuple(ai, as, m);
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}
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else if(ep.eat("subline(")) {
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int ai = ep.iparse(); verify_index(ai, c.shapes, ep); ep.force_eat(",");
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int as = ep.iparse(); verify_index(as, c.shapes[ai], ep); ep.force_eat(",");
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int bs = ep.iparse(); verify_index(bs, c.shapes[ai], ep); ep.force_eat(")");
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c.shapes[ai].sublines.emplace_back(as, bs);
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}
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else if(ep.eat("sublines(")) {
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ld d = ep.rparse() * distunit;
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ld eps = 1e-4;
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if(ep.eat(",")) eps = ep.rparse() * distunit;
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ep.force_eat(")");
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for(auto& sh: c.shapes) {
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for(int i=0; i<isize(sh.vertices); i++)
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for(int j=0; j<isize(sh.vertices); j++)
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if(j != i+1 && i != j+1 && !(i==0 && j == isize(sh.vertices)-1) && !(j==0 && i == isize(sh.vertices)-1) && i != j) {
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ld dist = hdist(sh.vertices[i], sh.vertices[j]);
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if(abs(dist - d) < eps) {
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sh.sublines.emplace_back(i, j);
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println(hlog, "add subline ", i, "-", j);
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}
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}
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}
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}
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else if(ep.eat("debug(")) {
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int i = ep.iparse(0);
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verify_index(i, c.shapes, ep);
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ep.force_eat(")");
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throw connection_debug_request(i);
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}
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else throw hr_parse_exception("expecting command, " + ep.where());
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}
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}
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arbi_tiling debugged;
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vector<pair<transmatrix, int> > debug_polys;
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string primes(int i) {
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string res;
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while(i--) res += "'";
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return res;
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}
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void connection_debugger() {
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cmode = sm::SIDE | sm::DIALOG_STRICT_X;
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gamescreen(0);
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auto& last = debug_polys.back();
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initquickqueue();
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for(auto& p: debug_polys) {
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int id = p.second;
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transmatrix V = gmatrix[cwt.at] * p.first;
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auto& sh = debugged.shapes[id].vertices;
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for(auto& v: sh)
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curvepoint(V * v);
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curvepoint(V * sh[0]);
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color_t col = colortables['A'][id];
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col = darkena(col, 0, 0xFF);
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if(&p == &last) {
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vid.linewidth *= 2;
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queuecurve(0xFFFF00FF, col, PPR::LINE);
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vid.linewidth /= 2;
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for(int i=0; i<isize(sh); i++)
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queuestr(V * sh[i], vid.fsize, its(i), 0xFFFFFFFF);
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}
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else
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queuecurve(0xFFFFFFFF, col, PPR::LINE);
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}
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quickqueue();
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dialog::init(XLAT("connection debugger"));
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dialog::addInfo(debugged.name);
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dialog::addHelp(debugged.comment);
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dialog::addBreak(50);
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dialog::addInfo("face index " + its(last.second));
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dialog::addBreak(50);
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auto& sh = debugged.shapes[last.second];
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int N = isize(sh.edges);
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for(int k=0; k<N; k++) {
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auto con = sh.connections[k];
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string cap = its(k) + primes(last.second) + " -> " + its(get<1>(con)) + primes(get<0>(con)) + (get<2>(con) ? " (m) " : "");
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dialog::addSelItem(cap, "go", '0' + k);
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dialog::add_action([k, last, &sh, con] {
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debug_polys.emplace_back(last.first * get_adj(debugged, last.second, k, -1), get<0>(con));
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});
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}
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dialog::addBack();
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dialog::display();
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keyhandler = [] (int sym, int uni) {
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handlePanning(sym, uni);
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dialog::handleNavigation(sym, uni);
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if(doexiton(sym, uni)) popScreen();
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};
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}
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geometryinfo1& arbi_tiling::get_geometry() {
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return ginf[gEuclid].g;
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}
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map<heptagon*, vector<pair<heptagon*, transmatrix> > > altmap;
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EX map<heptagon*, pair<heptagon*, transmatrix>> arbi_matrix;
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EX hrmap *current_altmap;
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heptagon *build_child(heptspin p, pair<int, int> adj);
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EX transmatrix get_adj(arbi_tiling& c, int t, int dl, int xdl) {
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auto& sh = c.shapes[t];
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int dr = gmod(dl+1, sh.size());
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auto& co = sh.connections[dl];
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int xt = get<0>(co);
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if(xdl == -1) xdl = get<1>(co);
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int m = get<2>(co);
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auto& xsh = c.shapes[xt];
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int xdr = gmod(xdl+1, xsh.size());
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hyperpoint vl = sh.vertices[dl];
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hyperpoint vr = sh.vertices[dr];
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hyperpoint vm = mid(vl, vr);
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transmatrix rm = gpushxto0(vm);
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hyperpoint xvl = xsh.vertices[xdl];
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hyperpoint xvr = xsh.vertices[xdr];
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hyperpoint xvm = mid(xvl, xvr);
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transmatrix xrm = gpushxto0(xvm);
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transmatrix Res = rgpushxto0(vm) * rspintox(rm*vr);
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if(m) Res = Res * MirrorX;
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Res = Res * spintox(xrm*xvl) * xrm;
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if(m) swap(vl, vr);
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if(hdist(vl, Res*xvr) + hdist(vr, Res*xvl) > .1) {
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println(hlog, "s1 = ", kz(spintox(rm*vr)), " s2 = ", kz(rspintox(xrm*xvr)));
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println(hlog, tie(t, dl), " = ", kz(Res));
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println(hlog, hdist(vl, Res * xvr), " # ", hdist(vr, Res * xvl));
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exit(3);
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}
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return Res;
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}
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struct hrmap_arbi : hrmap {
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heptagon *origin;
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heptagon *getOrigin() override { return origin; }
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hrmap_arbi() {
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dynamicval<hrmap*> curmap(currentmap, this);
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origin = tailored_alloc<heptagon> (current.shapes[0].size());
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origin->s = hsOrigin;
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origin->emeraldval = 0;
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origin->zebraval = 0;
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origin->fiftyval = 0;
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origin->fieldval = 0;
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origin->rval0 = origin->rval1 = 0;
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origin->cdata = NULL;
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origin->alt = NULL;
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origin->c7 = newCell(origin->type, origin);
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origin->distance = 0;
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heptagon *alt = NULL;
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if(hyperbolic) {
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dynamicval<eGeometry> g(geometry, gNormal);
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alt = tailored_alloc<heptagon> (S7);
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alt->s = hsOrigin;
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alt->emeraldval = 0;
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alt->zebraval = 0;
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alt->distance = 0;
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alt->c7 = NULL;
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alt->alt = alt;
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alt->cdata = NULL;
|
|
current_altmap = newAltMap(alt);
|
|
}
|
|
|
|
transmatrix T = xpush(.01241) * spin(1.4117) * xpush(0.1241) * Id;
|
|
arbi_matrix[origin] = make_pair(alt, T);
|
|
altmap[alt].emplace_back(origin, T);
|
|
|
|
cgi.base_distlimit = 0;
|
|
celllister cl(origin->c7, 1000, 200, NULL);
|
|
ginf[geometry].distlimit[0] = cgi.base_distlimit = cl.dists.back();
|
|
if(sphere) cgi.base_distlimit = SEE_ALL;
|
|
}
|
|
|
|
~hrmap_arbi() {
|
|
/*
|
|
if(hyperbolic) for(auto& p: arbi_matrix) if(p.second.first->cdata) {
|
|
delete p.second.first->cdata;
|
|
p.second.first->cdata = NULL;
|
|
}
|
|
*/
|
|
clearfrom(origin);
|
|
altmap.clear();
|
|
arbi_matrix.clear();
|
|
if(current_altmap) {
|
|
dynamicval<eGeometry> g(geometry, gNormal);
|
|
delete current_altmap;
|
|
current_altmap = NULL;
|
|
}
|
|
}
|
|
void verify() override { }
|
|
|
|
transmatrix adj(heptagon *h, int dl) override {
|
|
return get_adj(current, id_of(h), dl, h->c.move(dl) ? h->c.spin(dl) : -1);
|
|
}
|
|
|
|
heptagon *create_step(heptagon *h, int d) override {
|
|
|
|
int t = id_of(h);
|
|
|
|
const auto& p = arbi_matrix[h];
|
|
|
|
heptagon *alt = p.first;
|
|
|
|
auto& sh = current.shapes[t];
|
|
|
|
auto& co = sh.connections[d];
|
|
|
|
int xt = get<0>(co);
|
|
int e = get<1>(co);
|
|
int m = get<2>(co);
|
|
auto& xsh = current.shapes[xt];
|
|
|
|
transmatrix T = p.second * adj(h, d);
|
|
|
|
if(hyperbolic) {
|
|
dynamicval<eGeometry> g(geometry, gNormal);
|
|
dynamicval<hrmap*> cm(currentmap, current_altmap);
|
|
// transmatrix U = T;
|
|
current_altmap->virtualRebase(alt, T);
|
|
// U = U * inverse(T);
|
|
}
|
|
fixmatrix(T);
|
|
|
|
if(euclid) {
|
|
/* hash the rough coordinates as heptagon* alt */
|
|
size_t s = size_t(T[0][LDIM]+.261) * 124101 + size_t(T[1][LDIM]+.261) * 82143;
|
|
alt = (heptagon*) s;
|
|
}
|
|
|
|
for(auto& p2: altmap[alt]) if(id_of(p2.first) == xt && hdist(tC0(p2.second), tC0(T)) < 1e-2) {
|
|
for(int oth=0; oth < p2.first->type; oth++) {
|
|
ld err = hdist(p2.second * xsh.vertices[oth], T * xsh.vertices[e]);
|
|
if(err < 1e-2) {
|
|
static ld max_err = 0;
|
|
if(err > max_err) {
|
|
println(hlog, "err = ", err);
|
|
max_err = err;
|
|
}
|
|
h->c.connect(d, p2.first, oth%p2.first->type, m);
|
|
return p2.first;
|
|
}
|
|
}
|
|
}
|
|
|
|
auto h1 = tailored_alloc<heptagon> (current.shapes[xt].size());
|
|
h1->distance = h->distance + 1;
|
|
h1->zebraval = xt;
|
|
h1->c7 = newCell(h1->type, h1);
|
|
h1->alt = nullptr;
|
|
h1->cdata = nullptr;
|
|
h1->emeraldval = h->emeraldval ^ m;
|
|
h->c.connect(d, h1, e, m);
|
|
|
|
arbi_matrix[h1] = make_pair(alt, T);
|
|
altmap[alt].emplace_back(h1, T);
|
|
return h1;
|
|
}
|
|
|
|
void draw() override {
|
|
dq::visited.clear();
|
|
dq::enqueue(centerover->master, cview());
|
|
|
|
while(!dq::drawqueue.empty()) {
|
|
auto& p = dq::drawqueue.front();
|
|
heptagon *h = get<0>(p);
|
|
transmatrix V = get<1>(p);
|
|
dynamicval<ld> b(band_shift, get<2>(p));
|
|
dq::drawqueue.pop();
|
|
|
|
if(do_draw(h->c7, V)) drawcell(h->c7, V);
|
|
else continue;
|
|
|
|
for(int i=0; i<h->type; i++) {
|
|
transmatrix V1 = V * adj(h, i);
|
|
bandfixer bf(V1);
|
|
dq::enqueue(h->move(i), V1);
|
|
}
|
|
}
|
|
}
|
|
|
|
transmatrix relative_matrix(heptagon *h2, heptagon *h1, const hyperpoint& hint) override {
|
|
return relative_matrix_recursive(h2, h1);
|
|
}
|
|
|
|
transmatrix adj(cell *c, int dir) override { return adj(c->master, dir); }
|
|
|
|
ld spin_angle(cell *c, int d) override { return SPIN_NOT_AVAILABLE; }
|
|
};
|
|
|
|
EX hrmap *new_map() { return new hrmap_arbi; }
|
|
|
|
void run(string fname) {
|
|
stop_game();
|
|
eGeometry g = geometry;
|
|
arbi_tiling t = current;
|
|
auto v = variation;
|
|
set_geometry(gArbitrary);
|
|
try {
|
|
load(fname);
|
|
ginf[gArbitrary].tiling_name = current.name;
|
|
}
|
|
catch(hr_polygon_error& poly) {
|
|
set_geometry(g);
|
|
set_variation(v);
|
|
current = t;
|
|
start_poly_debugger(poly);
|
|
string help = XLAT("Polygon number %1 did not close correctly. Here is the picture to help you understand the issue.\n\n", its(poly.id));
|
|
showstartmenu = false;
|
|
for(auto& p: poly.params)
|
|
help += lalign(-1, p.first, " = ", p.second, "\n");
|
|
gotoHelp(help);
|
|
}
|
|
catch(hr_parse_exception& ex) {
|
|
println(hlog, "failed: ", ex.s);
|
|
set_geometry(g);
|
|
current = t;
|
|
start_game();
|
|
addMessage("failed: " + ex.s);
|
|
}
|
|
catch(connection_debug_request& cr) {
|
|
set_geometry(g);
|
|
debugged = current;
|
|
current = t;
|
|
ensure_geometry(cr.c);
|
|
debug_polys.clear();
|
|
debug_polys.emplace_back(Id, cr.id);
|
|
pushScreen(connection_debugger);
|
|
}
|
|
start_game();
|
|
}
|
|
|
|
#if CAP_COMMANDLINE
|
|
int readArgs() {
|
|
using namespace arg;
|
|
|
|
if(0) ;
|
|
else if(argis("-arbi")) {
|
|
PHASEFROM(2);
|
|
shift();
|
|
run(args());
|
|
}
|
|
else return 1;
|
|
return 0;
|
|
}
|
|
|
|
auto hook = addHook(hooks_args, 100, readArgs);
|
|
#endif
|
|
|
|
EX bool in() { return geometry == gArbitrary; }
|
|
|
|
EX string tes = "tessellations/sample/marjorie-rice.tes";
|
|
|
|
EX bool linespattern(cell *c) {
|
|
return current.shapes[id_of(c->master)].flags & arcm::sfLINE;
|
|
}
|
|
|
|
EX bool pseudohept(cell *c) {
|
|
return current.shapes[id_of(c->master)].flags & arcm::sfPH;
|
|
}
|
|
|
|
EX void choose() {
|
|
dialog::openFileDialog(tes, XLAT("open a tiling"), ".tes",
|
|
[] () {
|
|
run(tes);
|
|
return true;
|
|
});
|
|
}
|
|
|
|
EX }
|
|
} |