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1078 lines
31 KiB
C++
1078 lines
31 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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EX int affine_limit = 200;
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EX bool legacy; /* angleofs command */
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#if HDR
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/** a type used to specify the connections between shapes */
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struct connection_t {
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/** the index of the connected shape in the 'shapes' table */
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int sid;
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/** the index of the edge in the 'shapes' table */
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int eid;
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/** 1 if this connection mirrored, 0 otherwise. do_unmirror() removes all mirrors by doubling shapes */
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int mirror;
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};
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inline void print(hstream& hs, const connection_t& conn) { print(hs, tie(conn.sid, conn.eid, conn.mirror)); }
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/** \brief each shape of the arb tessellation
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* note: the usual HyperRogue convention is: vertex 0, edge 0, vertex 1, edge 1, ...
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* note: the tesfile convention is: edge 0, vertex 0, edge 1, vertex 1, ...
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*/
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struct shape {
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/** index in the arbi_tiling::shapes */
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int id;
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/** flags such as sfLINE and sfPH */
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int flags;
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/** list of vertices in the usual convention */
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vector<hyperpoint> vertices;
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/** list of vertices in the tesfile convention */
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vector<ld> angles;
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/** list of edge lengths */
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vector<ld> edges;
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/** list of edge connections */
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vector<connection_t> 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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vector<pair<ld, ld>> stretch_shear;
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int repeat_value;
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/** if a tile/edge combination may be connected to edges j1 and j2 of this, j1-j2 must be divisible by cycle_length */
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int cycle_length;
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/** list of valences of vertices in the tesfile convention */
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vector<int> vertex_valence;
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};
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struct slider {
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string name;
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ld zero;
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ld current;
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ld min;
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ld max;
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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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vector<slider> sliders;
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ld cscale;
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string filename;
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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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EX bool using_slided;
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EX arbi_tiling slided;
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EX bool in_slided() { return in() && using_slided; }
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EX arbi_tiling& current_or_slided() {
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return using_slided ? slided : current;
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}
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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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#if HDR
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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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transmatrix end;
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map<string, cld> params;
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hr_polygon_error(const vector<transmatrix>& _v, int _id, transmatrix _e) : v(_v), c(cgclass), id(_id), end(_e) {}
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~hr_polygon_error() noexcept(true) {}
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string generate_error();
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};
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#endif
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string hr_polygon_error::generate_error() {
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cld dist = (hdist0(tC0(end)) / params["distunit"]);
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bool angle = abs(dist) < 1e-9;
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if(angle) dist = (atan2(end * xpush0(1)) / params["angleunit"]);
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return
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XLAT("Polygon number %1 did not close correctly (%2 %3). Here is the picture to help you understand the issue.\n\n", its(id),
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angle ? "angle" : "distance",
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lalign(0, dist)
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);
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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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enable_canvas();
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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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#if CAP_EDIT
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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(shiftless(tC0(err.v[i])), shiftless(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(shiftless(tC0(err.v[i])), 0.5, its(i));
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#endif
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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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if(!legacy) for(auto& a: angles) a += M_PI;
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for(int i=0; i<n; i++) {
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matrices.push_back(at);
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if(debugflags & DF_GEOM) 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)) {
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throw hr_polygon_error(matrices, id, at);
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}
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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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if(debugflags & DF_GEOM) 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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if(debugflags & DF_GEOM) println(hlog, "ctr = ", ctr);
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}
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if(!legacy) for(auto& a: angles) a -= M_PI;
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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, arbi_tiling& c, bool unit) {
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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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cc.repeat_value = 1;
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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] = connection_t{cc.id, i, false};
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cc.stretch_shear.resize(cc.size(), make_pair(1, 0));
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}
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EX bool do_unmirror = true;
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/** \brief for tessellations which contain mirror rules, remove them by taking the orientable double cover */
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EX void unmirror() {
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int mirror_rules = 0;
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for(auto& s: arb::current.shapes)
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for(auto& t: s.connections)
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if(t.mirror)
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mirror_rules++;
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if(!mirror_rules) return;
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auto& sh = current.shapes;
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int s = isize(sh);
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for(int i=0; i<s; i++)
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sh.push_back(sh[i]);
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for(int i=s; i<s+s; i++) {
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for(auto& v: sh[i].vertices)
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v[1] = -v[1];
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reverse(sh[i].edges.begin(), sh[i].edges.end());
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reverse(sh[i].vertices.begin()+1, sh[i].vertices.end());
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reverse(sh[i].angles.begin(), sh[i].angles.end()-1);
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reverse(sh[i].connections.begin(), sh[i].connections.end());
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}
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if(true) for(int i=0; i<s+s; i++) {
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for(auto& co: sh[i].connections) {
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bool mirr = co.mirror ^ (i >= s);
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co.mirror = false;
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if(mirr) {
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co.sid += s;
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co.eid = isize(sh[co.sid].angles) - 1 - co.eid;
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}
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}
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}
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}
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EX void compute_vertex_valence() {
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auto& shs = arb::current.shapes;
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int tcl = -1;
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for(int i=0; i<isize(shs); i++) {
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auto& sh = shs[i];
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sh.cycle_length = isize(sh.vertices);
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}
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while(true) {
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for(int i=0; i<isize(shs); i++) {
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auto& sh = shs[i];
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int n = isize(sh.vertices);
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for(int k=sh.cycle_length; k<n; k++) {
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auto co = sh.connections[k];
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auto co1 = sh.connections[k-sh.cycle_length];
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if(co.sid != co1.sid) {
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println(hlog, "ik = ", tie(i,k), " co=", co, "co1=", co1, " cl=", sh.cycle_length);
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throw hr_parse_exception("connection error #2 in compute_vertex_valence");
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}
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shs[co.sid].cycle_length = abs(gcd(shs[co.sid].cycle_length, co.eid - co1.eid));
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}
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for(int k=0; k<n; k++) {
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auto co = sh.connections[k];
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co = shs[co.sid].connections[co.eid];
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if(co.sid != i) throw hr_parse_exception("connection error in compute_vertex_valence");
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sh.cycle_length = abs(gcd(sh.cycle_length, k-co.eid));
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}
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if(debugflags & DF_GEOM)
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println(hlog, "tile ", i, " cycle_length = ", sh.cycle_length, " / ", n);
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}
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int new_tcl = 0;
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for(int i=0; i<isize(shs); i++) {
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auto& len = shs[i].cycle_length;
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if(len < 0) len = -len;
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new_tcl += len;
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}
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if(new_tcl == tcl) break;
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tcl = new_tcl;
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}
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if(cgflags & qAFFINE) return;
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for(int i=0; i<isize(shs); i++) {
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int n = isize(shs[i].vertices);
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shs[i].vertex_valence.resize(n);
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for(int k=0; k<n; k++) {
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ld total = 0;
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int qty = 0;
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connection_t at = {i, k, false};
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do {
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ld a = shs[at.sid].angles[at.eid];
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while(a < 0) a += 360 * degree;
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while(a > 360 * degree) a -= 360 * degree;
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total += a;
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qty++;
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at.eid++;
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if(at.eid == isize(shs[at.sid].angles)) at.eid = 0;
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at = shs[at.sid].connections[at.eid];
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}
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while(total < 360*degree - 1e-6);
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if(total > 360*degree + 1e-6) throw hr_parse_exception("improper total in compute_stats");
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if(at.sid != i) throw hr_parse_exception("ended at wrong type determining vertex_valence");
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if((at.eid - k) % shs[i].cycle_length) throw hr_parse_exception("ended at wrong edge determining vertex_valence");
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shs[i].vertex_valence[k] = qty;
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}
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if(debugflags & DF_GEOM)
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println(hlog, "computed vertex_valence of ", i, " as ", shs[i].vertex_valence);
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}
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}
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EX void load(const string& fname, bool after_sliding IS(false)) {
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fhstream f(fname, "rt");
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if(!f.f) throw hr_parse_exception("file " + fname + " does not exist");
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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 = after_sliding ? slided : current;
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c.order++;
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c.shapes.clear();
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c.sliders.clear();
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c.name = unnamed;
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c.comment = "";
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c.filename = fname;
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c.cscale = 1;
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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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set_flag(ginf[gArbitrary].flags, qAFFINE, false);
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geom3::apply_always3();
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}
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else if(ep.eat("a2.")) {
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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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set_flag(ginf[gArbitrary].flags, qAFFINE, true);
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affine_limit = 200;
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geom3::apply_always3();
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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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set_flag(ginf[gArbitrary].flags, qAFFINE, false);
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geom3::apply_always3();
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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, true);
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set_flag(ginf[gArbitrary].flags, qAFFINE, false);
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geom3::apply_always3();
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}
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else if(ep.eat("legacysign.")) {
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if(legacy) angleunit *= -1;
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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(")) {
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angleofs = real(ep.parsepar());
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if(!legacy) angleofs = 0;
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}
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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("slider(")) {
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slider sl;
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sl.name = ep.next_token();
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ep.force_eat(",");
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sl.current = sl.zero = ep.rparse();
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ep.force_eat(",");
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sl.min = ep.rparse();
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ep.force_eat(",");
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sl.max = ep.rparse();
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ep.force_eat(")");
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c.sliders.push_back(sl);
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if(after_sliding)
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ep.extra_params[sl.name] = current.sliders[isize(c.sliders)-1].current;
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else
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ep.extra_params[sl.name] = sl.zero;
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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("=");
|
|
ep.extra_params[tok] =ep.parsepar();
|
|
if(debugflags & DF_GEOM)
|
|
println(hlog, "let ", tok, " = ", ep.extra_params[tok]);
|
|
}
|
|
else if(ep.eat("unittile(")) load_tile(ep, c, true);
|
|
else if(ep.eat("tile(")) load_tile(ep, c, false);
|
|
else if(ep.eat("affine_limit(")) {
|
|
affine_limit = ep.iparse();
|
|
ep.force_eat(")");
|
|
}
|
|
else if(ep.eat("cscale(")) {
|
|
c.cscale = ep.rparse();
|
|
ep.force_eat(")");
|
|
}
|
|
else if(ep.eat("conway(\"")) {
|
|
string s = "";
|
|
while(true) {
|
|
int m = 0;
|
|
if(ep.eat("(")) m = 0;
|
|
else if(ep.eat("[")) m = 1;
|
|
else if(ep.eat("\"")) break;
|
|
else throw hr_parse_exception("cannot parse Conway notation, " + ep.where());
|
|
|
|
int ai = 0;
|
|
int as = ep.iparse();
|
|
while(ep.eat("'")) ai++;
|
|
if(ep.eat("@")) ai = ep.iparse();
|
|
int bi = 0, bs = 0;
|
|
if(ep.eat(")") || ep.eat("]")) bs = as, bi = ai;
|
|
else {
|
|
bs = ep.iparse();
|
|
while(ep.eat("'")) bi++;
|
|
if(ep.eat("@")) bi = ep.iparse();
|
|
}
|
|
if(ep.eat(")") || ep.eat("]")) {}
|
|
verify_index(ai, c.shapes, ep);
|
|
verify_index(as, c.shapes[ai], ep);
|
|
verify_index(bi, c.shapes, ep);
|
|
verify_index(bs, c.shapes[bi], ep);
|
|
c.shapes[ai].connections[as] = connection_t{bi, bs, m};
|
|
c.shapes[bi].connections[bs] = connection_t{ai, as, m};
|
|
}
|
|
ep.force_eat(")");
|
|
}
|
|
else if(ep.eat("c(")) {
|
|
int ai = ep.iparse(); verify_index(ai, c.shapes, ep); ep.force_eat(",");
|
|
int as = ep.iparse(); verify_index(as, c.shapes[ai], ep); ep.force_eat(",");
|
|
int bi = ep.iparse(); verify_index(bi, c.shapes, ep); ep.force_eat(",");
|
|
int bs = ep.iparse(); verify_index(bs, c.shapes[bi], ep); ep.force_eat(",");
|
|
int m = ep.iparse(); ep.force_eat(")");
|
|
c.shapes[ai].connections[as] = connection_t{bi, bs, m};
|
|
c.shapes[bi].connections[bs] = connection_t{ai, as, m};
|
|
}
|
|
else if(ep.eat("subline(")) {
|
|
int ai = ep.iparse(); verify_index(ai, c.shapes, ep); ep.force_eat(",");
|
|
int as = ep.iparse(); verify_index(as, c.shapes[ai], ep); ep.force_eat(",");
|
|
int bs = ep.iparse(); verify_index(bs, c.shapes[ai], ep); ep.force_eat(")");
|
|
c.shapes[ai].sublines.emplace_back(as, bs);
|
|
}
|
|
else if(ep.eat("sublines(")) {
|
|
ld d = ep.rparse() * distunit;
|
|
ld eps = 1e-4;
|
|
if(ep.eat(",")) eps = ep.rparse() * distunit;
|
|
ep.force_eat(")");
|
|
for(auto& sh: c.shapes) {
|
|
for(int i=0; i<isize(sh.vertices); i++)
|
|
for(int j=0; j<i; j++)
|
|
if(j != i+1 && i != j+1 && !(i==0 && j == isize(sh.vertices)-1) && !(j==0 && i == isize(sh.vertices)-1) && i != j) {
|
|
ld dist = hdist(sh.vertices[i], sh.vertices[j]);
|
|
if(abs(dist - d) < eps) {
|
|
sh.sublines.emplace_back(i, j);
|
|
if(debugflags & DF_GEOM) println(hlog, "add subline ", i, "-", j);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
else if(ep.eat("repeat(")) {
|
|
int i = ep.iparse(0);
|
|
verify_index(i, c.shapes, ep);
|
|
ep.force_eat(",");
|
|
int rep = ep.iparse(0);
|
|
ep.force_eat(")");
|
|
auto& sh = c.shapes[i];
|
|
int N = isize(sh.angles);
|
|
if(N % rep)
|
|
throw hr_parse_exception("repeat value should be a factor of the number of vertices, " + ep.where());
|
|
sh.repeat_value = rep;
|
|
|
|
int d = N / rep;
|
|
for(int i=d; i<N; i++)
|
|
sh.connections[i] = sh.connections[i-d];
|
|
}
|
|
else if(ep.eat("debug(")) {
|
|
int i = ep.iparse(0);
|
|
verify_index(i, c.shapes, ep);
|
|
ep.force_eat(")");
|
|
throw connection_debug_request(i);
|
|
}
|
|
else if(ep.eat("stretch_shear(")) {
|
|
ld stretch = ep.rparse(0);
|
|
ep.force_eat(",");
|
|
ld shear = ep.rparse(0);
|
|
ep.force_eat(",");
|
|
int i = ep.iparse(0);
|
|
verify_index(i, c.shapes, ep);
|
|
ep.force_eat(",");
|
|
int j = ep.iparse(0);
|
|
verify_index(j, c.shapes[i], ep);
|
|
ep.force_eat(")");
|
|
auto& sh = c.shapes[i];
|
|
sh.stretch_shear[j] = {stretch, shear};
|
|
auto& co = sh.connections[j];
|
|
auto& xsh = c.shapes[co.sid];
|
|
ld scale = sh.edges[j] / xsh.edges[co.eid];
|
|
println(hlog, "scale = ", scale);
|
|
xsh.stretch_shear[co.eid] = {1/stretch, shear * (co.mirror ? 1 : -1) * stretch };
|
|
}
|
|
else throw hr_parse_exception("expecting command, " + ep.where());
|
|
}
|
|
if(!(cgflags & qAFFINE)) {
|
|
for(int i=0; i<isize(c.shapes); i++) {
|
|
auto& sh = c.shapes[i];
|
|
for(int j=0; j<isize(sh.edges); j++) {
|
|
ld d1 = sh.edges[j];
|
|
auto con = sh.connections[j];
|
|
auto& xsh = c.shapes[con.sid];
|
|
ld d2 = xsh.edges[con.eid];
|
|
if(abs(d1 - d2) > 1e-6)
|
|
throw hr_parse_exception(lalign(0, "connecting ", make_pair(i,j), " to ", con, " of different lengths only possible in a2"));
|
|
}
|
|
}
|
|
}
|
|
|
|
if(do_unmirror) {
|
|
unmirror();
|
|
compute_vertex_valence();
|
|
}
|
|
|
|
if(!after_sliding) slided = current;
|
|
}
|
|
|
|
arbi_tiling debugged;
|
|
vector<pair<transmatrix, int> > debug_polys;
|
|
|
|
string primes(int i) {
|
|
string res;
|
|
while(i--) res += "'";
|
|
return res;
|
|
}
|
|
|
|
void connection_debugger() {
|
|
cmode = sm::SIDE | sm::DIALOG_STRICT_X;
|
|
gamescreen(0);
|
|
|
|
auto& last = debug_polys.back();
|
|
|
|
initquickqueue();
|
|
for(auto& p: debug_polys) {
|
|
int id = p.second;
|
|
|
|
shiftmatrix V = gmatrix[cwt.at] * p.first;
|
|
|
|
auto& sh = debugged.shapes[id].vertices;
|
|
|
|
for(auto& v: sh)
|
|
curvepoint(v);
|
|
|
|
curvepoint(sh[0]);
|
|
|
|
color_t col = colortables['A'][id];
|
|
col = darkena(col, 0, 0xFF);
|
|
|
|
if(&p == &last) {
|
|
vid.linewidth *= 2;
|
|
queuecurve(V, 0xFFFF00FF, col, PPR::LINE);
|
|
vid.linewidth /= 2;
|
|
for(int i=0; i<isize(sh); i++)
|
|
queuestr(V * sh[i], vid.fsize, its(i), 0xFFFFFFFF);
|
|
}
|
|
else
|
|
queuecurve(V, 0xFFFFFFFF, col, PPR::LINE);
|
|
}
|
|
quickqueue();
|
|
|
|
dialog::init(XLAT("connection debugger"));
|
|
|
|
dialog::addInfo(debugged.name);
|
|
dialog::addHelp(debugged.comment);
|
|
|
|
dialog::addBreak(50);
|
|
|
|
dialog::addInfo("face index " + its(last.second));
|
|
|
|
dialog::addBreak(50);
|
|
|
|
auto& sh = debugged.shapes[last.second];
|
|
int N = isize(sh.edges);
|
|
for(int k=0; k<N; k++) {
|
|
auto con = sh.connections[k];
|
|
string cap = its(k) + primes(last.second) + " -> " + its(con.eid) + primes(con.sid) + (con.mirror ? " (m) " : "");
|
|
dialog::addSelItem(cap, "go", '0' + k);
|
|
|
|
dialog::add_action([k, last, con] {
|
|
if(euclid) cgflags |= qAFFINE;
|
|
debug_polys.emplace_back(last.first * get_adj(debugged, last.second, k, -1), con.sid);
|
|
if(euclid) cgflags &= ~qAFFINE;
|
|
});
|
|
|
|
}
|
|
|
|
dialog::addItem("undo", 'u');
|
|
dialog::add_action([] {
|
|
if(isize(debug_polys) > 1)
|
|
debug_polys.pop_back();
|
|
});
|
|
|
|
dialog::addBack();
|
|
dialog::display();
|
|
|
|
keyhandler = [] (int sym, int uni) {
|
|
handlePanning(sym, uni);
|
|
dialog::handleNavigation(sym, uni);
|
|
if(doexiton(sym, uni)) popScreen();
|
|
};
|
|
}
|
|
|
|
geometryinfo1& arbi_tiling::get_geometry() {
|
|
return ginf[gEuclid].g;
|
|
}
|
|
|
|
map<heptagon*, vector<pair<heptagon*, transmatrix> > > altmap;
|
|
|
|
EX map<heptagon*, pair<heptagon*, transmatrix>> arbi_matrix;
|
|
|
|
EX hrmap *current_altmap;
|
|
|
|
heptagon *build_child(heptspin p, pair<int, int> adj);
|
|
|
|
EX transmatrix get_adj(arbi_tiling& c, int t, int dl, int xdl) {
|
|
|
|
auto& sh = c.shapes[t];
|
|
|
|
int dr = gmod(dl+1, sh.size());
|
|
|
|
auto& co = sh.connections[dl];
|
|
if(xdl == -1) xdl = co.eid;
|
|
|
|
auto& xsh = c.shapes[co.sid];
|
|
int xdr = gmod(xdl+1, xsh.size());
|
|
|
|
hyperpoint vl = sh.vertices[dl];
|
|
hyperpoint vr = sh.vertices[dr];
|
|
hyperpoint vm = mid(vl, vr);
|
|
|
|
transmatrix rm = gpushxto0(vm);
|
|
|
|
hyperpoint xvl = xsh.vertices[xdl];
|
|
hyperpoint xvr = xsh.vertices[xdr];
|
|
hyperpoint xvm = mid(xvl, xvr);
|
|
|
|
transmatrix xrm = gpushxto0(xvm);
|
|
|
|
transmatrix Res = rgpushxto0(vm) * rspintox(rm*vr);
|
|
|
|
if(cgflags & qAFFINE) {
|
|
ld sca = hdist(vl, vr) / hdist(xvl, xvr);
|
|
transmatrix Tsca = Id;
|
|
Tsca[0][0] = Tsca[1][1] = sca;
|
|
|
|
auto& ss = sh.stretch_shear[dl];
|
|
Tsca[0][1] = ss.first * ss.second * sca;
|
|
Tsca[1][1] *= ss.first;
|
|
|
|
Res = Res * Tsca;
|
|
}
|
|
|
|
if(co.mirror) Res = Res * MirrorX;
|
|
Res = Res * spintox(xrm*xvl) * xrm;
|
|
|
|
if(co.mirror) swap(vl, vr);
|
|
|
|
if(hdist(vl, Res*xvr) + hdist(vr, Res*xvl) > .1) {
|
|
println(hlog, "s1 = ", kz(spintox(rm*vr)), " s2 = ", kz(rspintox(xrm*xvr)));
|
|
println(hlog, tie(t, dl), " = ", kz(Res));
|
|
println(hlog, hdist(vl, Res * xvr), " # ", hdist(vr, Res * xvl));
|
|
exit(3);
|
|
}
|
|
|
|
return Res;
|
|
}
|
|
|
|
struct hrmap_arbi : hrmap {
|
|
heptagon *origin;
|
|
heptagon *getOrigin() override { return origin; }
|
|
|
|
hrmap_arbi() {
|
|
dynamicval<hrmap*> curmap(currentmap, this);
|
|
origin = init_heptagon(current.shapes[0].size());
|
|
origin->s = hsOrigin;
|
|
origin->c7 = newCell(origin->type, origin);
|
|
|
|
heptagon *alt = NULL;
|
|
|
|
if(hyperbolic) {
|
|
dynamicval<eGeometry> g(geometry, gNormal);
|
|
alt = init_heptagon(S7);
|
|
alt->s = hsOrigin;
|
|
alt->alt = alt;
|
|
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() {
|
|
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_or_slided(), id_of(h), dl, h->c.move(dl) ? h->c.spin(dl) : -1);
|
|
}
|
|
|
|
heptagon *create_step(heptagon *h, int d) override {
|
|
|
|
dynamicval<bool> sl(using_slided, false);
|
|
int t = id_of(h);
|
|
|
|
auto& sh = current.shapes[t];
|
|
|
|
auto& co = sh.connections[d];
|
|
|
|
auto& xsh = current.shapes[co.sid];
|
|
|
|
if(cgflags & qAFFINE) {
|
|
set<heptagon*> visited;
|
|
|
|
vector<pair<heptagon*, transmatrix> > v;
|
|
|
|
visited.insert(h);
|
|
v.emplace_back(h, Id);
|
|
|
|
transmatrix goal = adj(h, d);
|
|
|
|
for(int i=0; i<affine_limit && i < isize(v); i++) {
|
|
transmatrix T = v[i].second;
|
|
heptagon *h2 = v[i].first;
|
|
if(eqmatrix(T, goal)) {
|
|
h->c.connect(d, h2, co.eid, co.mirror);
|
|
return h2;
|
|
}
|
|
for(int i=0; i<h2->type; i++) {
|
|
heptagon *h3 = h2->move(i);
|
|
if(!h3) continue;
|
|
if(visited.count(h3)) continue;
|
|
visited.insert(h3);
|
|
v.emplace_back(h3, T * adj(h2, i));
|
|
}
|
|
}
|
|
|
|
auto h1 = init_heptagon(current.shapes[co.sid].size());
|
|
h1->distance = h->distance + 1;
|
|
h1->zebraval = co.sid;
|
|
h1->c7 = newCell(h1->type, h1);
|
|
h1->emeraldval = h->emeraldval ^ co.mirror;
|
|
h->c.connect(d, h1, co.eid, co.mirror);
|
|
|
|
return h1;
|
|
}
|
|
|
|
const auto& p = arbi_matrix[h];
|
|
|
|
heptagon *alt = p.first;
|
|
|
|
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) == co.sid && 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[co.eid]);
|
|
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, co.mirror);
|
|
return p2.first;
|
|
}
|
|
}
|
|
}
|
|
|
|
auto h1 = init_heptagon(current.shapes[co.sid].size());
|
|
h1->distance = h->distance + 1;
|
|
h1->zebraval = co.sid;
|
|
h1->c7 = newCell(h1->type, h1);
|
|
h1->emeraldval = h->emeraldval ^ co.mirror;
|
|
h->c.connect(d, h1, co.eid, co.mirror);
|
|
|
|
arbi_matrix[h1] = make_pair(alt, T);
|
|
altmap[alt].emplace_back(h1, T);
|
|
return h1;
|
|
}
|
|
|
|
transmatrix relative_matrixh(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; }
|
|
|
|
int shvid(cell *c) override {
|
|
return id_of(c->master);
|
|
}
|
|
|
|
hyperpoint get_corner(cell *c, int cid, ld cf) override {
|
|
auto& sh = arb::current_or_slided().shapes[arb::id_of(c->master)];
|
|
return normalize(C0 + (sh.vertices[gmod(cid, c->type)] - C0) * 3 / cf);
|
|
}
|
|
|
|
};
|
|
|
|
EX hrmap *new_map() { return new hrmap_arbi; }
|
|
|
|
EX 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 = poly.generate_error();
|
|
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();
|
|
}
|
|
|
|
string slider_error;
|
|
|
|
EX void sliders_changed() {
|
|
try {
|
|
load(current.filename, true);
|
|
using_slided = true;
|
|
slider_error = "OK";
|
|
#if CAP_TEXTURE
|
|
texture::config.remap();
|
|
#endif
|
|
}
|
|
catch(hr_parse_exception& ex) {
|
|
using_slided = false;
|
|
slider_error = ex.s;
|
|
}
|
|
catch(hr_polygon_error& poly) {
|
|
using_slided = false;
|
|
slider_error = poly.generate_error();
|
|
}
|
|
}
|
|
|
|
EX void set_sliders() {
|
|
cmode = sm::SIDE | sm::MAYDARK;
|
|
gamescreen(1);
|
|
dialog::init(XLAT("tessellation sliders"));
|
|
char ch = 'A';
|
|
for(auto& sl: current.sliders) {
|
|
dialog::addSelItem(sl.name, fts(sl.current), ch++);
|
|
dialog::add_action([&] {
|
|
dialog::editNumber(sl.current, sl.min, sl.max, 1, sl.zero, sl.name, sl.name);
|
|
dialog::reaction = sliders_changed;
|
|
});
|
|
}
|
|
dialog::addInfo(slider_error);
|
|
dialog::addBack();
|
|
dialog::display();
|
|
}
|
|
|
|
#if CAP_COMMANDLINE
|
|
int readArgs() {
|
|
using namespace arg;
|
|
|
|
if(0) ;
|
|
else if(argis("-tes") || argis("-arbi")) {
|
|
PHASEFROM(2);
|
|
shift();
|
|
run(args());
|
|
}
|
|
else if(argis("-arb-legacy")) {
|
|
legacy = true;
|
|
}
|
|
else if(argis("-arb-slider")) {
|
|
PHASEFROM(2);
|
|
shift();
|
|
string slider = args();
|
|
bool found = true;
|
|
for(auto& sl: current.sliders)
|
|
if(sl.name == slider) {
|
|
shift_arg_formula(sl.current, sliders_changed);
|
|
found = true;
|
|
}
|
|
if(!found) {
|
|
println(hlog, "warning: no slider named ", slider, " found");
|
|
shift();
|
|
}
|
|
}
|
|
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;
|
|
});
|
|
}
|
|
|
|
#if MAXMDIM >= 4
|
|
auto hooksw = addHook(hooks_swapdim, 100, [] {
|
|
for(auto& p: {¤t, &slided})
|
|
for(auto& s: p->shapes)
|
|
for(auto& v: s.vertices)
|
|
swapmatrix(v);
|
|
for(auto& p: altmap) for(auto& pp: p.second) swapmatrix(pp.second);
|
|
for(auto& p: arbi_matrix) swapmatrix(p.second.second);
|
|
});
|
|
#endif
|
|
|
|
EX }
|
|
}
|