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530 lines
15 KiB
C++
530 lines
15 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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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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for(int i=0; i<n; i++) {
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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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if(!eqmatrix(at, Id)) throw hr_parse_exception("polygon error");
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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) { if(!correct_index(index, v)) throw hr_parse_exception("bad index"); }
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string unnamed = "unnamed";
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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);
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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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}
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else if(ep.eat("unittile(")) {
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c.shapes.emplace_back();
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auto& cc = c.shapes.back();
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cc.id = isize(c.shapes) - 1;
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cc.flags = 0;
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while(ep.next() != ')') {
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ld angle = ep.rparse(0);
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cc.edges.push_back(distunit);
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cc.angles.push_back(angle * angleunit + 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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cc.build_from_angles_edges();
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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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else if(ep.eat("tile(")) {
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c.shapes.emplace_back();
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auto& cc = c.shapes.back();
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cc.id = isize(c.shapes) - 1;
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cc.flags = 0;
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while(ep.next() != ')') {
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ld dist = ep.rparse(0);
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ep.force_eat(",");
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ld angle = ep.rparse(0);
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cc.edges.push_back(dist * distunit);
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cc.angles.push_back(angle * angleunit + 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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cc.build_from_angles_edges();
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cc.connections.resize(cc.size());
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}
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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");
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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.force_eat(",");
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int as = ep.iparse(); verify_index(as, c.shapes[ai]); ep.force_eat(",");
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int bi = ep.iparse(); verify_index(bi, c.shapes); ep.force_eat(",");
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int bs = ep.iparse(); verify_index(bs, c.shapes[bi]); 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.force_eat(",");
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int as = ep.iparse(); verify_index(as, c.shapes[ai]); ep.force_eat(",");
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int bs = ep.iparse(); verify_index(bs, c.shapes[ai]); 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 throw hr_parse_exception("expecting command");
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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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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;
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current_altmap = newAltMap(alt);
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}
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transmatrix T = xpush(.01241) * spin(1.4117) * xpush(0.1241) * Id;
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arbi_matrix[origin] = make_pair(alt, T);
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altmap[alt].emplace_back(origin, T);
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cgi.base_distlimit = 0;
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celllister cl(origin->c7, 1000, 200, NULL);
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ginf[geometry].distlimit[0] = cgi.base_distlimit = cl.dists.back();
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if(sphere) cgi.base_distlimit = SEE_ALL;
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}
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~hrmap_arbi() {
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/*
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if(hyperbolic) for(auto& p: arbi_matrix) if(p.second.first->cdata) {
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delete p.second.first->cdata;
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p.second.first->cdata = NULL;
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}
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*/
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clearfrom(origin);
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altmap.clear();
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arbi_matrix.clear();
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if(current_altmap) {
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dynamicval<eGeometry> g(geometry, gNormal);
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delete current_altmap;
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current_altmap = NULL;
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}
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}
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void verify() override { }
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transmatrix adj(heptagon *h, int dl) override {
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auto& c = current;
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int t = id_of(h);
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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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int xdl = get<1>(co);
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int m = get<2>(co);
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if(h->c.move(dl)) xdl = h->c.spin(dl);
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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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heptagon *create_step(heptagon *h, int d) override {
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int t = id_of(h);
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const auto& p = arbi_matrix[h];
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heptagon *alt = p.first;
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auto& sh = current.shapes[t];
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auto& co = sh.connections[d];
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int xt = get<0>(co);
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int e = get<1>(co);
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int m = get<2>(co);
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auto& xsh = current.shapes[xt];
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transmatrix T = p.second * adj(h, d);
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if(hyperbolic) {
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dynamicval<eGeometry> g(geometry, gNormal);
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dynamicval<hrmap*> cm(currentmap, current_altmap);
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// transmatrix U = T;
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current_altmap->virtualRebase(alt, T);
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// U = U * inverse(T);
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}
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fixmatrix(T);
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if(euclid) {
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/* hash the rough coordinates as heptagon* alt */
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size_t s = size_t(T[0][LDIM]+.261) * 124101 + size_t(T[1][LDIM]+.261) * 82143;
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alt = (heptagon*) s;
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}
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for(auto& p2: altmap[alt]) if(id_of(p2.first) == xt && hdist(tC0(p2.second), tC0(T)) < 1e-2) {
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for(int oth=0; oth < p2.first->type; oth++) {
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ld err = hdist(p2.second * xsh.vertices[oth], T * xsh.vertices[e]);
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if(err < 1e-2) {
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static ld max_err = 0;
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if(err > max_err) {
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println(hlog, "err = ", err);
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max_err = err;
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}
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h->c.connect(d, p2.first, oth%p2.first->type, m);
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return p2.first;
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}
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}
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}
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auto h1 = tailored_alloc<heptagon> (current.shapes[xt].size());
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h1->distance = h->distance + 1;
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h1->zebraval = xt;
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h1->c7 = newCell(h1->type, h1);
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h1->alt = nullptr;
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h1->cdata = nullptr;
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h1->emeraldval = h->emeraldval ^ m;
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h->c.connect(d, h1, e, m);
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arbi_matrix[h1] = make_pair(alt, T);
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altmap[alt].emplace_back(h1, T);
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return h1;
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}
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void draw() override {
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dq::visited.clear();
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dq::enqueue(centerover->master, cview());
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while(!dq::drawqueue.empty()) {
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auto& p = dq::drawqueue.front();
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heptagon *h = get<0>(p);
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transmatrix V = get<1>(p);
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dynamicval<ld> b(band_shift, get<2>(p));
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dq::drawqueue.pop();
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if(do_draw(h->c7, V)) drawcell(h->c7, V);
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else continue;
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for(int i=0; i<h->type; i++) {
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transmatrix V1 = V * adj(h, i);
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bandfixer bf(V1);
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dq::enqueue(h->move(i), V1);
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}
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}
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}
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transmatrix relative_matrix(heptagon *h2, heptagon *h1, const hyperpoint& hint) override {
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return relative_matrix_recursive(h2, h1);
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}
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transmatrix adj(cell *c, int dir) override { return adj(c->master, dir); }
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ld spin_angle(cell *c, int d) override { return SPIN_NOT_AVAILABLE; }
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};
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EX hrmap *new_map() { return new hrmap_arbi; }
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#if CAP_COMMANDLINE
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int readArgs() {
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using namespace arg;
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if(0) ;
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else if(argis("-arbi")) {
|
|
PHASEFROM(2);
|
|
stop_game();
|
|
shift();
|
|
set_geometry(gArbitrary);
|
|
try {
|
|
load(args());
|
|
}
|
|
catch(hr_parse_exception& ex) {
|
|
println(hlog, "failed: ", ex.s);
|
|
exit(3);
|
|
}
|
|
ginf[gArbitrary].tiling_name = current.name;
|
|
}
|
|
else return 1;
|
|
return 0;
|
|
}
|
|
|
|
auto hook = addHook(hooks_args, 100, readArgs);
|
|
#endif
|
|
|
|
EX bool in() { return geometry == gArbitrary; }
|
|
|
|
EX string tes = "tessellations/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",
|
|
[] () {
|
|
stop_game();
|
|
set_geometry(gArbitrary);
|
|
try {
|
|
load(tes);
|
|
ginf[gArbitrary].tiling_name = current.name;
|
|
}
|
|
catch(hr_parse_exception& ex) {
|
|
println(hlog, "failed: ", ex.s);
|
|
set_geometry(gNormal);
|
|
}
|
|
start_game();
|
|
return true;
|
|
});
|
|
}
|
|
|
|
EX }
|
|
} |