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			852 lines
		
	
	
		
			25 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			852 lines
		
	
	
		
			25 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
#include "hyper.h"
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// Fake non-Euclidean
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namespace hr {
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EX namespace fake {
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  EX ld scale;
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  EX bool multiple;
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  EX bool multiple_special_draw = true;
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  EX bool recursive_draw = false;
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  EX eGeometry underlying;
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  EX geometry_information *underlying_cgip;
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  EX hrmap *pmap;
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  EX geometry_information *pcgip;
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  EX eGeometry actual_geometry;
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  EX int ordered_mode = 0;
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  EX bool in() { return geometry == gFake; }
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  EX bool in_ext() { return in() || (mhybrid && PIU(in())); }
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  EX void on_dim_change() { pmap->on_dim_change(); }
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  /** like in() but takes slided arb into account */
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  EX bool split() { return in() || arb::in_slided(); }
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  EX bool available() {
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    if(in()) return true;
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    if(WDIM == 2 && standard_tiling() && (PURE || BITRUNCATED)) return true;
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    if(WDIM == 2 && standard_tiling() && GOLDBERG && S3 == 4 && ((gp::param.first+gp::param.second) % 2)) return true;
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    if(WDIM == 2 && standard_tiling() && GOLDBERG && S3 == 3 && ((gp::param.first-gp::param.second) % 3)) return true;
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    if(WDIM == 2 && standard_tiling() && GOLDBERG && S3 == 4 && gp::param.first == 1 && gp::param.second == 1) return true;
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    if(WDIM == 2 && standard_tiling() && UNRECTIFIED && S3 == 4 && gp::param.first == 1 && gp::param.second == 1) return true;
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    if(WDIM == 2 && standard_tiling() && UNTRUNCATED && S3 == 3 && gp::param.first == 1 && gp::param.second == 1) return true;
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    if(arcm::in() && PURE) return true;
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    if(hat::in()) return true;
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    if(WDIM == 2) return false;
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    if(among(geometry, gBitrunc3)) return false;
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    #if MAXMDIM >= 4
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    if(reg3::in() && !among(variation, eVariation::pure, eVariation::subcubes, eVariation::coxeter, eVariation::bch_oct)) return false;
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    return euc::in() || reg3::in();
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    #else
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    return euc::in();
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    #endif
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    }
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  map<cell*, ld> random_order;
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  // a dummy map that does nothing
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  struct hrmap_fake : hrmap {
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    hrmap *underlying_map;
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    template<class T> auto in_underlying(const T& t) -> decltype(t()) {
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      pcgip = cgip; 
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      dynamicval<hrmap*> gpm(pmap, this);
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      dynamicval<eGeometry> gag(actual_geometry, geometry);
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      dynamicval<eGeometry> g(geometry, underlying);
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      dynamicval<int> uc(cgip->use_count, cgip->use_count+1);
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      dynamicval<geometry_information*> gc(cgip, underlying_cgip);
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      dynamicval<hrmap*> gu(currentmap, underlying_map);
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      return t();
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      }
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    heptagon *getOrigin() override { return in_underlying([this] { return underlying_map->getOrigin(); }); }
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    cell* gamestart() override { return in_underlying([this] { return underlying_map->gamestart(); }); }
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    hrmap_fake(hrmap *u) {
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      underlying_map = u;
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      for(hrmap*& m: allmaps) if(m == underlying_map) m = this;
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      if(currentmap == u) currentmap = this;
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      }
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    void find_cell_connection(cell *c, int d) override { 
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      FPIU(createMov(c, d));
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      }
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    hrmap_fake() {
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      underlying_map = nullptr;
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      in_underlying([this] { initcells(); underlying_map = currentmap; });
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      for(hrmap*& m: allmaps) if(m == underlying_map) m = NULL;
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      }
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    ~hrmap_fake() { 
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      in_underlying([this] {
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        delete underlying_map; 
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        });
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      }
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    heptagon *create_step(heptagon *parent, int d) override {
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      return FPIU(currentmap->create_step(parent, d));
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      }
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    hyperpoint get_corner(cell *c, int cid, ld cf=3) override { 
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      if(GOLDBERG && S3 == 4 && gp::param.first == 1 && gp::param.second == 1) {
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        return ddspin(c, cid) * spin(-M_PI / c->type) * lxpush0((c == c->master->c7 ? cgi.hexf : cgi.hexvdist) * 3 / cf);
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        }
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      if(UNRECTIFIED && S3 == 4 && gp::param.first == 1 && gp::param.second == 1) {
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        return spin(90._deg * cid + -M_PI / c->type) * lxpush0(cgi.hexvdist * 3 / cf);
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        }
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      if(GOLDBERG) return underlying_map->get_corner(c, cid, cf);
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      if(embedded_plane) {
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        geom3::light_flip(true);
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        hyperpoint h = get_corner(c, cid, cf);
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        geom3::light_flip(false);
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        return cgi.emb->base_to_actual(h);
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        }
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      if(arcm::in() || hat::in()) {
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        return underlying_map->get_corner(c, cid, cf);
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        }
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      if(standard_tiling() && BITRUNCATED) {
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        return underlying_map->get_corner(c, cid, cf);
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        }
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      hyperpoint h;
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      h = FPIU(currentmap->get_corner(c, cid, cf));
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      return befake(h);
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      }
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    transmatrix adj(cell *c, int d) override {
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      if(GOLDBERG && S3 == 4 && gp::param.first == 1 && gp::param.second == 1) {
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        c->cmove(d);
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        return ddspin(c, d) *  lxpush(cgi.crossf) * iddspin(c->move(d), c->c.spin(d), M_PI);
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        }
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      if(UNRECTIFIED && S3 == 4 && gp::param.first == 1 && gp::param.second == 1) {
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        c->cmove(d);
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        return spin(90._deg * d) *  lxpush(cgi.crossf) * spin(-90._deg * c->c.spin(d) + M_PI);
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        }
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      if(UNTRUNCATED && S3 == 3 && gp::param.first == 1 && gp::param.second == 1) {
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        c->cmove(d);
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        return spin(120._deg * (1-d)) *  lxpush(cgi.crossf) * spin(-120._deg * (1-c->c.spin(d)) + M_PI);
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        }
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      if(embedded_plane) {
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        geom3::light_flip(true);
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        transmatrix T = adj(c, d);
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        geom3::light_flip(false);
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        return cgi.emb->base_to_actual(T);
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        }
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      if(GOLDBERG) return underlying_map->adj(c, d);
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      if(hat::in()) return underlying_map->adj(c, d);
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      if(variation == eVariation::coxeter) {
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        array<int, 3> which;
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        in_underlying([&which, c, d] {
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          auto T = currentmap->adj(c, d);
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          auto& f1 = currentmap->get_cellshape(c).faces_local[d];
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          auto& f2 = currentmap->get_cellshape(c->move(d)).faces_local[c->c.spin(d)];
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          for(int i=0; i<3; i++) {
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            which[i] = -1;
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            for(int j=0; j<isize(f2); j++)
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              if(hdist(T * f2[j], f1[i]) < 1e-6)
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                which[i] = j;
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            }
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          });
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        auto& f1 = get_cellshape(c).faces_local[d];
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        auto& f2 = get_cellshape(c->move(d)).faces_local[c->c.spin(d)];
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        vector<ld> d1;
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        for(auto& v: f1) d1.push_back(hdist0(normalize(v)));
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        vector<hyperpoint> cf2(3);
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        for(int i=0; i<3; i++)
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          cf2[i] = f2[which[i]];
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        transmatrix F2, F1;
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        for(int i=0; i<3; i++) set_column(F2, i, cf2[i]);
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        for(int i=0; i<3; i++) set_column(F1, i, f1[i]);
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        auto dtang = [] (vector<hyperpoint> v) {
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          if(euclid) return (v[1] - v[0]) ^ (v[2] - v[0]);
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          transmatrix T = gpushxto0(normalize(v[0]));
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          hyperpoint h = iso_inverse(T) * ((T*v[1]) ^ (T*v[2]));
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          return h;
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          };
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        set_column(F2, 3, dtang(cf2));
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        set_column(F1, 3, dtang(f1));
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        transmatrix T = F1 * inverse(F2);
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        return T;
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        }
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      transmatrix S1, S2;
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      ld dist;
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      #if MAXMDIM >= 4
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      bool impure = reg3::in() && !PURE;
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      #else
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      bool impure = !PURE;
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      if(UNTRUNCATED && gp::param.first == 1 && gp::param.second == 1) impure = false;
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      #endif
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      vector<int> mseq;
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      if(impure) {
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        mseq = FPIU ( currentmap->get_move_seq(c, d) );
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        if(mseq.empty()) {
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          auto& s1 = get_cellshape(c);
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          auto& s2 = get_cellshape(c->move(d));
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          return s1.from_cellcenter * s2.to_cellcenter;
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          }
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        if(isize(mseq) > 1)
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          throw hr_exception("fake adj not implemented for isize(mseq) > 1");
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        }
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      in_underlying([c, d, &S1, &S2, &dist, &impure, &mseq] {
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        #if CAP_ARCM
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        dynamicval<bool> u(arcm::use_gmatrix, false);
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        #endif
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        transmatrix T;
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        if(impure) {
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          T = currentmap->adj(c->master, mseq[0]);
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          }
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        else {
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          T = currentmap->adj(c, d);
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          }
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        S1 = rspintox(tC0(T));
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        transmatrix T1 = spintox(tC0(T)) * T;
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        dist = hdist0(tC0(T1));
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        S2 = xpush(-dist) * T1;
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        });
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      if(impure) {
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        auto& s1 = get_cellshape(c);
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        auto& s2 = get_cellshape(c->move(d));
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        S1 = s1.from_cellcenter * S1;
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        S2 = S2 * s2.to_cellcenter;
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        }
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      #if CAP_ARCM
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      if(arcm::in()) {
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        int t = arcm::id_of(c->master);
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        int t2 = arcm::id_of(c->move(d)->master);
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        auto& cof = arcm::current_or_fake();
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        cgi.adjcheck = cof.inradius[t/2] + cof.inradius[t2/2];
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        }
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      #else
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      if(0) ;
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      #endif
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      else if(WDIM == 2) {
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        ld dist;
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        in_underlying([c, d, &dist] {
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          dist = currentmap->spacedist(c, d);
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          });
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        auto& u = *underlying_cgip;
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        if(dist == u.tessf) cgi.adjcheck = cgi.tessf;
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        else if(dist == u.crossf) cgi.adjcheck = cgi.crossf;
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        else if(dist == u.hexhexdist) cgi.adjcheck = cgi.hexhexdist;
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        else cgi.adjcheck = dist * scale;        
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        }
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      else if(underlying == gBitrunc3) {
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        ld x = (d % 7 < 3) ? 1 : sqrt(3)/2;
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        x *= scale;
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        cgi.adjcheck = 2 * atanh(x);
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        }
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      return S1 * xpush(cgi.adjcheck) * S2;
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      }
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    void draw_recursive(cell *c, const shiftmatrix& V, ld a0, ld a1, cell *parent, int depth) {
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      if(!do_draw(c, V)) return;
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      drawcell(c, V);
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      if(depth >= 15) return;
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      // queuestr(V, .2, fts(a0)+":"+fts(a1), 0xFFFFFFFF, 1);
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      ld d = hdist0(tC0(V));
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      if(false) {
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        curvepoint(spin(-a0) * xpush0(d));
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        curvepoint(spin(-a0) * xpush0(d+.2));
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        curvepoint(spin(-a1) * xpush0(d+.2));
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        curvepoint(spin(-a1) * xpush0(d));
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        curvepoint(spin(-a0) * xpush0(d));
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        queuecurve(shiftless(Id), 0xFF0000FF, 0, PPR::LINE);
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        }
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      indenter id(2);
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      for(int i=0; i<c->type; i++) if(c->move(i) && c->move(i) != parent) {
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        auto h0 = V * befake(FPIU(get_corner_position(c, i)));
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        auto h1 = V * befake(FPIU(get_corner_position(c, (i+1) % c->type)));
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        ld b0 = atan2(unshift(h0));
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        ld b1 = atan2(unshift(h1));
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        while(b1 < b0) b1 += TAU;
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        if(a0 == -1) {
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          draw_recursive(c->move(i), optimized_shift(V * adj(c, i)), b0, b1, c, depth+1);
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          }
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        else {
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          if(b1 - b0 > M_PI) continue;
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          cyclefix(b0, a0);
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          if(b0 < a0) b0 = a0;
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          cyclefix(b1, a1);
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          if(b1 > a1) b1 = a1;
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          if(b0 > b1) continue;
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          draw_recursive(c->move(i), optimized_shift(V * adj(c, i)), b0, b1, c, depth+1);
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          }
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        }
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      }
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    transmatrix relative_matrixc(cell *h2, cell *h1, const hyperpoint& hint) override {
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      if(arcm::in()) return underlying_map->relative_matrix(h2, h1, hint);
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      if(h1 == h2) return Id;
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      for(int a=0; a<h1->type; a++) if(h1->move(a) == h2)
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        return adj(h1, a);
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      return Id;
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      }
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    transmatrix relative_matrixh(heptagon *h2, heptagon *h1, const hyperpoint& hint) override {
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      if(arcm::in()) return underlying_map->relative_matrix(h2, h1, hint);
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      return relative_matrix(h2->c7, h1->c7, hint);
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      }
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    void draw_at(cell *at, const shiftmatrix& where) override {
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      sphereflip = Id;
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      // for(int i=0; i<S6; i++) queuepoly(ggmatrix(cwt.at), shWall3D[i], 0xFF0000FF);
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      if(pmodel == mdDisk && WDIM == 2 && recursive_draw) {
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        draw_recursive(at, where, -1, -1, nullptr, 0);
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        return;
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        }
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      dq::clear_all();
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      int id = 0;
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      int limit = 100 * pow(1.2, sightrange_bonus);
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      if(WDIM == 3 || vid.use_smart_range) 
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        limit = INT_MAX;
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      if(ordered_mode && !(multiple && multiple_special_draw)) {
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        using pct = pair<cell*, shiftmatrix>;
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        auto comparer = [] (pct& a1, pct& a2) { 
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          if(ordered_mode > 2) {
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            auto val = [] (pct& a) {
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              if(!random_order.count(a.first))
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                random_order[a.first] = randd() * 2;
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              return random_order[a.first] + hdist0(tC0(a.second));
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              };
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            return val(a1) > val(a2);
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            }
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          return a1.second[LDIM][LDIM] > a2.second[LDIM][LDIM]; 
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          };
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        std::priority_queue<pct, std::vector<pct>, decltype(comparer)> myqueue(comparer);
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        auto enq = [&] (cell *c, const shiftmatrix& V) {
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          if(!c) return;
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          if(ordered_mode == 1 || ordered_mode == 3) {
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            if(dq::visited_c.count(c)) return;
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            dq::visited_c.insert(c);
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            }
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          myqueue.emplace(c, V);          
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          };
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        enq(centerover, cview());
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        while(!myqueue.empty()) {
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          auto& p = myqueue.top();
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          id++;
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          cell *c = p.first;
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          shiftmatrix V = p.second;
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          myqueue.pop();
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          if(ordered_mode == 2 || ordered_mode == 4) {
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            if(dq::visited_c.count(c)) continue;
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            dq::visited_c.insert(c);
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            }
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 | 
						|
          if(!do_draw(c, V)) continue;
 | 
						|
          drawcell(c, V);
 | 
						|
 | 
						|
          if(in_wallopt() && isWall3(c) && isize(dq::drawqueue_c) > 1000) continue;
 | 
						|
 | 
						|
          if(id > limit) continue;
 | 
						|
    
 | 
						|
          for(int i=0; i<c->type; i++) if(c->move(i)) {
 | 
						|
            enq(c->move(i), optimized_shift(V * adj(c, i)));
 | 
						|
            }
 | 
						|
          }
 | 
						|
        
 | 
						|
        return;
 | 
						|
        }
 | 
						|
 | 
						|
      auto enqueue = (multiple && multiple_special_draw ? dq::enqueue_by_matrix_c : dq::enqueue_c);
 | 
						|
      enqueue(at, where);
 | 
						|
      
 | 
						|
      while(!dq::drawqueue_c.empty()) {
 | 
						|
        auto& p = dq::drawqueue_c.front();
 | 
						|
        id++;
 | 
						|
        cell *c = p.first;
 | 
						|
        shiftmatrix V = p.second;
 | 
						|
        dq::drawqueue_c.pop();
 | 
						|
 | 
						|
        if(!do_draw(c, V)) continue;
 | 
						|
        drawcell(c, V);
 | 
						|
        if(in_wallopt() && isWall3(c) && isize(dq::drawqueue_c) > 1000) continue;
 | 
						|
        
 | 
						|
        if(id > limit) continue;
 | 
						|
    
 | 
						|
        for(int i=0; i<c->type; i++) if(c->move(i)) {
 | 
						|
          enqueue(c->move(i), optimized_shift(V * adj(c, i)));
 | 
						|
          }
 | 
						|
        }
 | 
						|
      }
 | 
						|
 | 
						|
    ld spin_angle(cell *c, int d) override {
 | 
						|
      return underlying_map->spin_angle(c,d);
 | 
						|
      }
 | 
						|
 | 
						|
    int shvid(cell *c) override {
 | 
						|
      return FPIU( currentmap->shvid(c) );
 | 
						|
      }
 | 
						|
 | 
						|
    int pattern_value(cell *c) override { return FPIU( currentmap->pattern_value(c)); }
 | 
						|
 | 
						|
    subcellshape& get_cellshape(cell *c) override {
 | 
						|
      return *FPIU( (cgip = pcgip, &(currentmap->get_cellshape(c))) );
 | 
						|
      }
 | 
						|
 | 
						|
    transmatrix ray_iadj(cell *c, int i) override {
 | 
						|
      if(WDIM == 2)
 | 
						|
        return to_other_side(get_corner(c, i), get_corner(c, i+1));
 | 
						|
      #if MAXMDIM >= 4
 | 
						|
      if(PURE) return iadj(c, i);      
 | 
						|
      auto& v = get_cellshape(c).faces_local[i];
 | 
						|
      hyperpoint h = 
 | 
						|
        project_on_triangle(v[0], v[1], v[2]);
 | 
						|
      transmatrix T = rspintox(h);
 | 
						|
      return T * xpush(-2*hdist0(h)) * spintox(h);
 | 
						|
      #else
 | 
						|
      return Id;
 | 
						|
      #endif
 | 
						|
      }
 | 
						|
    };
 | 
						|
  
 | 
						|
  EX hrmap* new_map() { return new hrmap_fake; }
 | 
						|
 | 
						|
  EX hrmap* get_umap() { if(!dynamic_cast<hrmap_fake*>(currentmap)) return nullptr; else return ((hrmap_fake*)currentmap)->underlying_map; }
 | 
						|
 | 
						|
  #if HDR
 | 
						|
  template<class T> auto in_underlying_geometry(const T& f) -> decltype(f()) {
 | 
						|
    if(!fake::in()) return f();
 | 
						|
    pcgip = cgip; 
 | 
						|
    dynamicval<eGeometry> g(geometry, underlying);
 | 
						|
    dynamicval<eGeometry> gag(actual_geometry, geometry);
 | 
						|
    dynamicval<geometry_information*> gc(cgip, underlying_cgip);
 | 
						|
    dynamicval<hrmap*> gpm(pmap, currentmap);
 | 
						|
    dynamicval<hrmap*> gm(currentmap, get_umap());
 | 
						|
    return f();
 | 
						|
    }
 | 
						|
  
 | 
						|
  #define FPIU(x) hr::fake::in_underlying_geometry([&] { return (x); })
 | 
						|
  #endif
 | 
						|
 | 
						|
EX hyperpoint befake(hyperpoint h) {
 | 
						|
  auto h1 = h / h[LDIM] * scale;
 | 
						|
  h1[LDIM] = 1;
 | 
						|
  if(material(h1) > 1e-3)
 | 
						|
    h1 = normalize(h1);
 | 
						|
  return h1;
 | 
						|
  }
 | 
						|
 | 
						|
EX vector<hyperpoint> befake(const vector<hyperpoint>& v) {
 | 
						|
  vector<hyperpoint> res;
 | 
						|
  for(auto& h: v) res.push_back(befake(h));
 | 
						|
  return res;
 | 
						|
  }
 | 
						|
 | 
						|
EX vector<vector<hyperpoint>> befake(const vector<vector<hyperpoint>>& v) {
 | 
						|
  vector<vector<hyperpoint>> res;
 | 
						|
  for(auto& h: v) res.push_back(befake(h));
 | 
						|
  return res;
 | 
						|
  }
 | 
						|
 | 
						|
EX ld compute_around(bool setup) {
 | 
						|
  auto &ucgi = *underlying_cgip;
 | 
						|
  
 | 
						|
  auto fcs = befake(ucgi.heptshape->faces);
 | 
						|
  
 | 
						|
  if(setup) {
 | 
						|
    cgi.heptshape->faces = fcs;
 | 
						|
    cgi.heptshape->compute_hept();
 | 
						|
    }
 | 
						|
  
 | 
						|
  hyperpoint h = Hypc;
 | 
						|
  for(int i=0; i<ucgi.face; i++) h += fcs[0][i];
 | 
						|
  if(material(h) > 0)
 | 
						|
    h = normalize(h);
 | 
						|
  
 | 
						|
  if(setup)
 | 
						|
    cgi.adjcheck = 2 * hdist0(h);
 | 
						|
 | 
						|
  hyperpoint h2 = rspintox(h) * xpush0(2 * hdist0(h));
 | 
						|
  
 | 
						|
  auto kh= kleinize(h);
 | 
						|
  auto k0 = kleinize(fcs[0][0]);
 | 
						|
  auto k1 = kleinize(fcs[0][1]);
 | 
						|
  
 | 
						|
  auto vec = k1 - k0;
 | 
						|
  
 | 
						|
  // u = fcs[0] + vec * z
 | 
						|
 | 
						|
  // (f1-u) | (vec-u) = 0
 | 
						|
  // (f1 - f0 + vec*z) | 
 | 
						|
  
 | 
						|
  // (vec | h2-vec*z)  == (vec | h2) - (vec | vec*z) == 0
 | 
						|
  
 | 
						|
  auto z = (vec|(kh-k0)) / (vec|vec);
 | 
						|
  
 | 
						|
  hyperpoint u = k0 + vec * z;
 | 
						|
 | 
						|
  if(material(u) <= 0) 
 | 
						|
    return HUGE_VAL;
 | 
						|
 | 
						|
  u = normalize(u);
 | 
						|
  
 | 
						|
  h2 = spintox(u) * h2;
 | 
						|
  u = spintox(u) * u;
 | 
						|
  
 | 
						|
  h2 = gpushxto0(u) * h2;
 | 
						|
  u = gpushxto0(u) * u;
 | 
						|
 | 
						|
  ld x = hypot(h2[1], h2[2]);
 | 
						|
  ld y = h2[0];
 | 
						|
  
 | 
						|
  ld ans = 360 / (90 + atan(y/x) / degree);
 | 
						|
  
 | 
						|
  return ans;
 | 
						|
  }
 | 
						|
 | 
						|
EX void generate() {
 | 
						|
  FPIU( cgi.require_basics() );
 | 
						|
  #if MAXMDIM >= 4
 | 
						|
  auto &ucgi = *underlying_cgip;
 | 
						|
  
 | 
						|
  cgi.loop = ucgi.loop;
 | 
						|
  cgi.face = ucgi.face;
 | 
						|
  cgi.schmid = ucgi.schmid;
 | 
						|
 | 
						|
  auto& hsh = get_hsh();
 | 
						|
  
 | 
						|
  hsh = *ucgi.heptshape;
 | 
						|
 | 
						|
  for(int b=0; b<32; b++)
 | 
						|
    cgi.spins[b] = ucgi.spins[b];
 | 
						|
  
 | 
						|
  compute_around(true);
 | 
						|
  hsh.compute_hept();
 | 
						|
  reg3::compute_ultra();
 | 
						|
  
 | 
						|
  reg3::generate_subcells();
 | 
						|
  if(variation == eVariation::coxeter) {
 | 
						|
    for(int i=0; i<isize(cgi.subshapes); i++) {
 | 
						|
      auto& s = cgi.subshapes[i];
 | 
						|
      s.faces_local = ucgi.subshapes[i].faces_local;
 | 
						|
      for(auto &face: s.faces_local) for(auto& v: face) {
 | 
						|
        v = kleinize(v);
 | 
						|
        for(int i=0; i<3; i++) v[i] *= scale;
 | 
						|
        }
 | 
						|
      reg3::make_vertices_only(s.vertices_only, s.faces_local);
 | 
						|
      }
 | 
						|
    }
 | 
						|
  #endif
 | 
						|
  }
 | 
						|
 | 
						|
int get_middle() {
 | 
						|
  if(S7 == 20) return 5;
 | 
						|
  if(S7 == 8) return 4;
 | 
						|
  return 3;
 | 
						|
  }
 | 
						|
 | 
						|
EX ld around;
 | 
						|
 | 
						|
/** @brief the value of 'around' which makes the tiling Euclidean */
 | 
						|
EX ld compute_euclidean() {
 | 
						|
  #if CAP_ARCM
 | 
						|
  if(arcm::in()) return arcm::current.N * 2 / arcm::current.euclidean_angle_sum;
 | 
						|
  #endif
 | 
						|
  if(underlying == gAperiodicHat) return 6;
 | 
						|
  if(WDIM == 2 && BITRUNCATED) return 9 / (4.5 - 3. / S7 - 6. / S6);
 | 
						|
  if(WDIM == 2 && standard_tiling() && GOLDBERG && S3 == 4 && gp::param.first == 1 && gp::param.second == 1)
 | 
						|
    return S7 / (0.375 * S7 - 0.5);
 | 
						|
  if(WDIM == 2 && standard_tiling() && UNRECTIFIED && S3 == 4 && gp::param.first == 1 && gp::param.second == 1)
 | 
						|
    return 4;
 | 
						|
  if(WDIM == 2 && standard_tiling() && UNTRUNCATED && S3 == 3 && gp::param.first == 1 && gp::param.second == 1)
 | 
						|
    return 6;
 | 
						|
 | 
						|
  if(WDIM == 2) return 4 / (S7-2.) + 2;
 | 
						|
 | 
						|
 | 
						|
  if(underlying == gRhombic3) return 3;
 | 
						|
  if(underlying == gBitrunc3) return 2.55208;
 | 
						|
  int middle = get_middle();
 | 
						|
 | 
						|
  if(!fake::in()) underlying_cgip = cgip;
 | 
						|
    
 | 
						|
  return M_PI / asin(cos(M_PI/middle) / sin(M_PI/underlying_cgip->face));
 | 
						|
  }
 | 
						|
 | 
						|
EX ld around_orig() {
 | 
						|
  #if CAP_ARCM
 | 
						|
  if(arcm::in())
 | 
						|
    return arcm::current.N;
 | 
						|
  #endif
 | 
						|
  if(hat::in()) return 6;
 | 
						|
  if(WDIM == 2 && BITRUNCATED)
 | 
						|
    return 3;
 | 
						|
  if(WDIM == 2 && standard_tiling() && GOLDBERG && S3 == 4 && gp::param.first == 1 && gp::param.second == 1) return 4;
 | 
						|
  if(WDIM == 2 && standard_tiling() && UNRECTIFIED && S3 == 4 && gp::param.first == 1 && gp::param.second == 1)
 | 
						|
    return S7;
 | 
						|
  if(WDIM == 2 && standard_tiling() && UNTRUNCATED && S3 == 3 && gp::param.first == 1 && gp::param.second == 1)
 | 
						|
    return S7;
 | 
						|
  if(WDIM == 2)
 | 
						|
    return S3;
 | 
						|
  if(underlying == gRhombic3)
 | 
						|
    return 3;
 | 
						|
  if(underlying == gBitrunc3)
 | 
						|
    return 2.24259;
 | 
						|
  return
 | 
						|
    geometry == gFake ? underlying_cgip->loop : cgi.loop;
 | 
						|
  }
 | 
						|
 | 
						|
EX geometryinfo1 geometry_of_curvature(ld curvature, int dim) {
 | 
						|
  if(curvature == 0)
 | 
						|
    return WDIM == 3 ? giEuclid3 : giEuclid2;
 | 
						|
 | 
						|
  if(curvature < 0)
 | 
						|
    return WDIM == 3 ? giHyperb3 : giHyperb2;
 | 
						|
    
 | 
						|
  return WDIM == 3 ? giSphere3 : giSphere2;
 | 
						|
  }
 | 
						|
 | 
						|
EX void compute_scale() {
 | 
						|
 | 
						|
  ld good = compute_euclidean();
 | 
						|
  
 | 
						|
  if(around < 0) around = good;
 | 
						|
  
 | 
						|
  if(abs(good - around) < 1e-6) good = around;
 | 
						|
  
 | 
						|
  int s3 = around_orig();
 | 
						|
 | 
						|
  multiple = false;
 | 
						|
  int mcount = int(around / s3 + .5);
 | 
						|
  multiple = abs(around - mcount * s3) < 1e-6;
 | 
						|
  
 | 
						|
  ginf[gFake].g = geometry_of_curvature(good - around, WDIM);
 | 
						|
 | 
						|
  ld around_ideal = 1/(1/2. - 1./get_middle());
 | 
						|
  
 | 
						|
  bool have_ideal = abs(around_ideal - around) < 1e-6;
 | 
						|
  if(underlying == gRhombic3 || underlying == gBitrunc3) have_ideal = false;
 | 
						|
  
 | 
						|
  finalizer f([&] {if(vid.always3 && WDIM == 2) {
 | 
						|
    geom3::ginf_backup[gFake] = ginf[gFake];
 | 
						|
    geom3::apply_always3_to(ginf[gFake]);
 | 
						|
    }});
 | 
						|
 | 
						|
  if(arcm::in()) {
 | 
						|
    ginf[gFake].tiling_name = "(" + ginf[gArchimedean].tiling_name + ")^" + fts(around / around_orig());
 | 
						|
    return;
 | 
						|
    }
 | 
						|
  else if(WDIM == 2) {
 | 
						|
    ginf[gFake].tiling_name = lalign(0, "{", S7, ",", around, "}");
 | 
						|
    return;
 | 
						|
    }
 | 
						|
  else if(euclid) scale = 1;
 | 
						|
  else if(have_ideal) {
 | 
						|
    hyperpoint h0 = underlying_cgip->heptshape->faces[0][0];
 | 
						|
    auto s = kleinize(h0);
 | 
						|
    ld d = hypot_d(LDIM, s);
 | 
						|
    scale = 1/d;
 | 
						|
 | 
						|
    hyperpoint h = h0;
 | 
						|
    auto h1 = h / h[WDIM] * scale;
 | 
						|
    h1[WDIM] = 1;
 | 
						|
    set_flag(ginf[gFake].flags, qIDEAL, true);
 | 
						|
    set_flag(ginf[gFake].flags, qULTRA, false);
 | 
						|
    }
 | 
						|
  else {
 | 
						|
    set_flag(ginf[gFake].flags, qIDEAL, false);
 | 
						|
    set_flag(ginf[gFake].flags, qULTRA, around > around_ideal);
 | 
						|
    ld minscale = 0, maxscale = 10;
 | 
						|
    for(int it=0; it<100; it++) {
 | 
						|
      scale = (minscale + maxscale) /  2;
 | 
						|
      ld ar = compute_around(false);
 | 
						|
      if(sphere) {
 | 
						|
        if(ar < around) maxscale = scale;
 | 
						|
        else minscale = scale;
 | 
						|
        }
 | 
						|
      else {
 | 
						|
        if(ar > around) maxscale = scale;
 | 
						|
        else minscale = scale;
 | 
						|
        }
 | 
						|
      }
 | 
						|
    
 | 
						|
    /* ultra a bit earlier */    
 | 
						|
    if(underlying == gRhombic3 || underlying == gBitrunc3) {
 | 
						|
      auto fcs = befake(underlying_cgip->heptshape->faces[0][0]);
 | 
						|
      set_flag(ginf[gFake].flags, qULTRA, material(fcs) < 0);
 | 
						|
      }
 | 
						|
    }
 | 
						|
  
 | 
						|
  auto& u = underlying_cgip;
 | 
						|
  ginf[gFake].tiling_name = lalign(0, "{", u->face, ",", get_middle(), ",", around, "}");
 | 
						|
  }
 | 
						|
 | 
						|
void set_gfake(ld _around) {
 | 
						|
  cgi.require_basics();
 | 
						|
  underlying = geometry;
 | 
						|
  underlying_cgip = cgip;  
 | 
						|
  ginf[gFake] = ginf[underlying];
 | 
						|
  
 | 
						|
  geometry = gFake;
 | 
						|
  
 | 
						|
  around = _around;
 | 
						|
  
 | 
						|
  compute_scale();
 | 
						|
  check_cgi();
 | 
						|
  cgi.require_basics();
 | 
						|
 | 
						|
  if(currentmap) new hrmap_fake(currentmap);
 | 
						|
  if(hat::in()) hat::reshape();
 | 
						|
  }
 | 
						|
 | 
						|
EX void change_around() {
 | 
						|
  if(around >= 0 && around <= 2) return;
 | 
						|
 | 
						|
  ld t = in() ? scale : 1;
 | 
						|
  hyperpoint h = inverse_exp(shiftless(tC0(View)));
 | 
						|
  transmatrix T = gpushxto0(tC0(View)) * View;
 | 
						|
  
 | 
						|
  ld range = sightranges[geometry];
 | 
						|
  
 | 
						|
  if(!fake::in()) {
 | 
						|
    underlying = geometry;
 | 
						|
    if(around == around_orig()) return; /* do nothing */
 | 
						|
    set_gfake(around);
 | 
						|
    }
 | 
						|
  
 | 
						|
  else {    
 | 
						|
    compute_scale();
 | 
						|
    ray::reset_raycaster();
 | 
						|
 | 
						|
    /* to compute scale */
 | 
						|
    if(WDIM == 2)
 | 
						|
      cgi.require_basics();
 | 
						|
    }
 | 
						|
 | 
						|
  t = scale / t;
 | 
						|
  h *= t;
 | 
						|
  View = rgpushxto0(direct_exp(h)) * T;
 | 
						|
  fixmatrix(View);
 | 
						|
  
 | 
						|
  sightranges[gFake] = range * t;
 | 
						|
  #if CAP_TEXTURE
 | 
						|
  texture::config.remap();
 | 
						|
  #endif
 | 
						|
  geom3::apply_always3();
 | 
						|
  }
 | 
						|
 | 
						|
EX void configure() {
 | 
						|
  if(!in()) {
 | 
						|
    underlying_cgip = cgip;
 | 
						|
    around = around_orig();
 | 
						|
    }
 | 
						|
  dialog::editNumber(around, 2.01, 10, 1, around, XLAT("fake curvature"), 
 | 
						|
    XLAT(
 | 
						|
    "This feature lets you construct the same tiling, but "
 | 
						|
    "from shapes of different curvature.\n\n"
 | 
						|
    "The number you give here is (2D) vertex degree or (3D) "
 | 
						|
    "the number of cells around an edge.\n\n")
 | 
						|
    );
 | 
						|
  if(fake::in())
 | 
						|
    dialog::get_di().reaction = change_around;
 | 
						|
  else  
 | 
						|
    dialog::get_di().reaction_final = change_around;
 | 
						|
  dialog::get_di().extra_options = [] {
 | 
						|
    ld e = compute_euclidean();
 | 
						|
    dialog::addSelItem(XLAT("Euclidean"), fts(e), 'E');
 | 
						|
    dialog::add_action([e] {
 | 
						|
      around = e;
 | 
						|
      popScreen();
 | 
						|
      change_around();
 | 
						|
      });
 | 
						|
 | 
						|
    dialog::addSelItem(XLAT("original"), fts(around_orig()), 'O');
 | 
						|
    dialog::add_action([] {
 | 
						|
      around = around_orig();
 | 
						|
      popScreen();
 | 
						|
      change_around();
 | 
						|
      });
 | 
						|
 | 
						|
    dialog::addSelItem(XLAT("double original"), fts(2 * around_orig()), 'D');
 | 
						|
    dialog::add_action([] {
 | 
						|
      around = 2 * around_orig();
 | 
						|
      popScreen();
 | 
						|
      change_around();
 | 
						|
      });
 | 
						|
    
 | 
						|
    dialog::addBoolItem_action(XLAT("draw all if multiple of original"), multiple_special_draw, 'M');
 | 
						|
    dialog::addBoolItem_action(XLAT("draw copies (2D only)"), recursive_draw, 'C');
 | 
						|
 | 
						|
    dialog::addBoolItem_choice(XLAT("unordered"), ordered_mode, 0, 'U');
 | 
						|
    dialog::addBoolItem_choice(XLAT("pre-ordered"), ordered_mode, 1, 'P');
 | 
						|
    dialog::addBoolItem_choice(XLAT("post-ordered"), ordered_mode, 2, 'Q');
 | 
						|
 | 
						|
    };
 | 
						|
  }
 | 
						|
  
 | 
						|
#if CAP_COMMANDLINE
 | 
						|
int readArgs() {
 | 
						|
  using namespace arg;
 | 
						|
           
 | 
						|
  if(0) ;
 | 
						|
  else if(argis("-gfake-euc")) {
 | 
						|
    start_game();
 | 
						|
    around = compute_euclidean();
 | 
						|
    change_around();
 | 
						|
    }
 | 
						|
  else if(argis("-gfake")) {
 | 
						|
    start_game();
 | 
						|
    shift_arg_formula(around, change_around);
 | 
						|
    }
 | 
						|
  else if(argis("-gfake-order")) {
 | 
						|
    shift(); ordered_mode = argi();
 | 
						|
    }
 | 
						|
  else return 1;
 | 
						|
  return 0;
 | 
						|
  }
 | 
						|
 | 
						|
auto fundamentalhook = addHook(hooks_args, 100, readArgs);
 | 
						|
#endif
 | 
						|
 | 
						|
EX }
 | 
						|
 | 
						|
}
 | 
						|
 |