hyperrogue/floorshapes.cpp

namespace hr {
#if CAP_SHAPES
vector<plain_floorshape*> all_plain_floorshapes;
vector<escher_floorshape*> all_escher_floorshapes;

plain_floorshape
  shFloor, 
  shMFloor, shMFloor2, shMFloor3, shMFloor4, shFullFloor,
  shBigTriangle, shTriheptaFloor, shBigHepta;

escher_floorshape shStarFloor(1,2), 
  shCloudFloor(3, 4),
  shCrossFloor(5, 6, 2, 54),
  shChargedFloor(7, 385, 1, 10),
  shSStarFloor(11, 12),
  shOverFloor(13, 15, 1, 14),
  shTriFloor(17, 18, 0, 385),
  shFeatherFloor(19, 21, 1, 20),
  shBarrowFloor(23, 24, 1, 25),
  shNewFloor(26, 27, 2, 54),
  shTrollFloor(28, 29), 
  shButterflyFloor(325, 326, 1, 178),
  shLavaFloor(359, 360, 1, 178),
  shLavaSeabed(386, 387, 1, 178),
  shSeabed(334, 335),
  shCloudSeabed(336, 337),
  shCaveSeabed(338, 339, 2, 54),
  shPalaceFloor(45, 46, 0, 385),
  shDemonFloor(51, 50, 1, 178),
  shCaveFloor(52, 53, 2, 54),
  shDesertFloor(55, 56, 0, 4),
  shPowerFloor(57, 58, 0, 12), /* dragon */
  shRoseFloor(174, 175, 1, 173),
  shSwitchFloor(377, 378, 1, 379),
  shTurtleFloor(176, 177, 1, 178),
  shRedRockFloor[3] = {{55, 56}, {55, 56}, {55, 56}}, // 1 - .1 * i   
  shDragonFloor(181, 182, 2, 183); /* dragon */

typedef pair<transmatrix, array<transmatrix, MAX_EDGE>> matrixitem;

struct mesher {
  eGeometry g;
  int sym;
  ld bspi;
  hyperpoint lcorner, rcorner, mfar[2], vfar[4];
  };

mesher msh(eGeometry g, int sym, ld main, ld v0, ld v1, ld bspi, ld scale) {
  main *= scale; v0 *= scale; v1 *= scale;
  mesher m;
  m.sym = sym;
  m.bspi = bspi;
  dynamicval<eGeometry> dg(geometry, g);

  hyperpoint rot = xpush(v0) * xspinpush0(M_PI - M_PI/sym, main);
  hyperpoint bnlfar = xpush(v0) * spin(M_PI) * rspintox(rot) * rspintox(rot) * rspintox(rot) * xpush0(hdist0(rot));
  hyperpoint bnrfar = xpush(v0) * spin(M_PI) * spintox(rot) * spintox(rot) * spintox(rot) * xpush0(hdist0(rot));

  m.lcorner = xspinpush0 (bspi-M_PI/sym, main);
  m.rcorner = xspinpush0 (bspi+M_PI/sym, main);
  m.mfar[0] = xspinpush0 (bspi, v0);
  m.mfar[1] = xspinpush0 (bspi, v1);
  m.vfar[0] = spin(bspi) * bnlfar;
  m.vfar[2] = spin(bspi) * bnrfar;
  m.vfar[1] = spin(-2*M_PI/sym) * m.vfar[2];
  m.vfar[3] = spin(+2*M_PI/sym) * m.vfar[0];
  
  return m;
  }

struct matrixlist {
  mesher o, n;
  vector<matrixitem> v;
  };

matrixitem genitem(const transmatrix& m1, const transmatrix& m2, int nsym) {
  matrixitem mi;
  mi.first = m1;
  for(int i=0; i<nsym; i++)
    mi.second[i] = spin(2*M_PI*i/nsym) * m2;
  return mi;
  }

void addmatrix(matrixlist& matrices, hyperpoint o0, hyperpoint o1, hyperpoint o2, hyperpoint n0, hyperpoint n1, hyperpoint n2, int d, int osym, int nsym) {
  matrices.v.push_back(genitem(inverse(spin(2*M_PI*d/osym)*build_matrix(o0, o1, o2)), spin(2*M_PI*d/nsym)*build_matrix(n0, n1, n2), nsym));
  }

matrixlist hex_matrices, hept_matrices;

void generate_matrices(matrixlist& matrices, const mesher& o, const mesher& n) {
  matrices.v.clear();
  matrices.o = o;
  matrices.n = n;
  
  for(int d=0; d<o.sym; d++) {
    hyperpoint center = hpxy(0,0);
    int d1 = d&1;
    addmatrix(matrices, center, o.lcorner, o.rcorner, center, n.lcorner, n.rcorner, d, o.sym, n.sym);
    addmatrix(matrices, o.mfar[d1], o.lcorner, o.rcorner, n.mfar[d1], n.lcorner, n.rcorner, d, o.sym, n.sym);
    addmatrix(matrices, o.mfar[d1], o.lcorner, o.vfar[d1], n.mfar[d1], n.lcorner, n.vfar[d1], d, o.sym, n.sym);
    addmatrix(matrices, o.mfar[d1], o.rcorner, o.vfar[d1+2], n.mfar[d1], n.rcorner, n.vfar[d1+2], d, o.sym, n.sym);
    }
  }

int nsym0;

void generate_matrices_scale(ld scale, int noft) {
  mesher ohex = msh(gNormal, 6, 0.329036, 0.566256, 0.620672, 0, 1);
  mesher ohept = msh(gNormal, 7, hexf7, hcrossf7, hcrossf7, M_PI/7, 1);
  if(!BITRUNCATED) {
    mesher nall = msh(geometry, S7, rhexf, tessf, tessf, -M_PI, scale);
    bool use = geosupport_football() < 2;
    if(use && noft == 1) {
      mesher opure = msh(gNormal, 7, 0.620672, 1.090550, 1.090550, M_PI/7, 1);
      generate_matrices(hept_matrices, opure, nall);
      }
    else if(use && noft == 2) {
      mesher oeuc = msh(gNormal, 6, sqrt(3)/6, .5, .5, 0, 1);
      generate_matrices(hept_matrices, oeuc, nall);
      }
    else if(use && noft == 3) {
      generate_matrices(hept_matrices, ohex, nall);
      }
    else {
      generate_matrices(hex_matrices, ohex, nall);  
      generate_matrices(hept_matrices, ohept, nall);
      }
    }
  else {
    generate_matrices(hex_matrices, ohex, msh(geometry, S6, hexvdist, hexhexdist, hcrossf, (S3-3)*M_PI/S3, scale));
    generate_matrices(hept_matrices, ohept, msh(geometry, S7, rhexf, hcrossf, hcrossf, euclid6?0:euclid4?0:M_PI/S7, scale));
    }
  }

void bshape2(hpcshape& sh, PPR prio, int shapeid, matrixlist& m) {
  auto& matrices = m.v;
  int osym = m.o.sym;
  int nsym = m.n.sym;

  int whereis = 0;
  while(polydata[whereis] != NEWSHAPE || polydata[whereis+1] != shapeid) whereis++;
  int rots = polydata[whereis+2]; int sym = polydata[whereis+3];
  whereis += 4;
  int qty = 0;
  while(polydata[whereis + 2*qty] != NEWSHAPE) qty++;
  
  vector<hyperpoint> lst;
  for(int i=0; i<qty; i++) {
    dynamicval<eGeometry> dg(geometry, gNormal);
    lst.push_back(hpxy(polydata[whereis+2*i], polydata[whereis+2*i+1]));
    }
  if(sym == 2)
  for(int i=qty-1; i>=0; i--) {
    dynamicval<eGeometry> dg(geometry, gNormal);
    lst.push_back(hpxy(polydata[whereis+2*i], -polydata[whereis+2*i+1]));
    }
  
  hyperpoint lstmid = hpxyz(0,0,0);
  using namespace hyperpoint_vec;
  for(auto pp: lst) lstmid += pp;
  transmatrix T = spin(-m.o.bspi);
  while((spin(2*M_PI / rots) * T* lstmid)[0] < (T*lstmid)[0])
    T = spin(2*M_PI / rots) * T;
  while((spin(-2*M_PI / rots) * T* lstmid)[0] < (T*lstmid)[0])
    T = spin(-2*M_PI / rots) * T;
  T = spin(m.o.bspi) * T;
  for(auto &pp: lst) pp = T * pp;
  
  if(osym % rots && rots % osym) printf("warning: rotation oddity (shapeid %d, osym=%d rots=%d)\n", shapeid, osym, rots);

  if(rots > osym && rots % osym == 0) {
    int rep = rots / osym;
    int s = lst.size();
    for(int i=0; i<s*(rep-1); i++)
      lst.push_back(spin(2*M_PI/rots) * lst[i]);
    rots /= rep;
    }
  
  bshape(sh, prio);

  for(int r=0; r<nsym; r+=osym/rots) {
    for(hyperpoint h: lst) {
      hyperpoint nh = h;
      int mapped = 0;
      for(auto& m: matrices) {        
        hyperpoint z = m.first * h;
        if(z[0] > -1e-5 && z[1] > -1e-5 && z[2] > -1e-5) {
          nh = m.second[r] * z, mapped++;
          }
        }
      if(mapped == 0) printf("warning: not mapped (shapeid %d)\n", shapeid);
      hpcpush(mid(nh, nh));
      }
    }
  
  hpcpush(hpc[last->s]);
  }

void bshape_regular(floorshape &fsh, int id, int sides, int shift, ld size) {
  
  fsh.b.resize(2);
  fsh.shadow.resize(2);

  #if CAP_BT
  if(binarytiling) {

    cell fc;
    fc.type = 6+id;
    const int STEP = vid.texture_step;
    using namespace hyperpoint_vec;
    
    for(int t=0; t<2; t++) {
    
      if(t == 0) 
        bshape(fsh.b[id], fsh.prio);
      if(t == 1)
        bshape(fsh.shadow[id], fsh.prio);
      
      for(int i=0; i<sides; i++) {
        hyperpoint h0 = binary::get_corner_horo_coordinates(&fc, i) * size;
        hyperpoint h1 = binary::get_corner_horo_coordinates(&fc, i+1) * size;
        if(t) h0 *= SHADMUL, h1 *= SHADMUL;
        hyperpoint hd = (h1 - h0) / STEP;
        for(int j=0; j<STEP; j++)
          hpcpush(binary::get_horopoint(h0 + hd * j));
        }
      
      hpcpush(hpc[last->s]);
      }
    
    for(int k=0; k<SIDEPARS; k++) {
      for(int i=0; i<fc.type; i++) {
        fsh.gpside[k][i].resize(2);
        bshape(fsh.gpside[k][i][id], PPR::LAKEWALL); 
        hyperpoint h0 = binary::get_corner_horo_coordinates(&fc, i) * size;
        hyperpoint h1 = binary::get_corner_horo_coordinates(&fc, i+1) * size;
        hyperpoint hd = (h1 - h0) / STEP;
        for(int j=0; j<=STEP; j++)
          hpcpush(iddspin(&fc, i) * binary::get_horopoint(h0 + hd * j));
        chasmifyPoly(dlow_table[k], dhi_table[k], k);
        }
      }

    return;
    }
  #endif
  
  bshape(fsh.b[id], fsh.prio);
  for(int t=0; t<=sides; t++)
    hpcpush(xspinpush0(t*2 * M_PI / sides + shift * M_PI / S42, size));

  bshape(fsh.shadow[id], fsh.prio);
  for(int t=0; t<=sides; t++)
    hpcpush(xspinpush0(t*2 * M_PI / sides + shift * M_PI / S42, size * SHADMUL));

  for(int k=0; k<SIDEPARS; k++) {
    fsh.side[k].resize(2);
    bshape(fsh.side[k][id], PPR::LAKEWALL);
    hpcpush(xspinpush0(+M_PI/sides, size));
    hpcpush(xspinpush0(-M_PI/sides, size));
    chasmifyPoly(dlow_table[k], dhi_table[k], k);
    }
  }

#if CAP_IRR
namespace irr { void generate_floorshapes(); }
#endif

template<class T> void sizeto(T& t, int n) {
  if(isize(t) <= n) t.resize(n+1);
  }

// !siid equals pseudohept(c)

void generate_floorshapes_for(int id, cell *c, int siid, int sidir) {

  for(auto pfsh: all_plain_floorshapes) {
    auto& fsh = *pfsh;

    if(STDVAR && !archimedean) {

      // standard and binary
      ld hexside = fsh.rad0, heptside = fsh.rad1;
      
      for(int k=0; k<SIDEPARS; k++) sizeto(fsh.side[k], id);
      
      int td = ((PURE || euclid) && !(S7&1)) ? S42+S6 : 0;
      if(&fsh == &shBigHepta) td += S6;
    
      int b = 0;
      if(S3 == 4 && BITRUNCATED) b += S14;
  
      if(id == 1)
        bshape_regular(fsh, 1, S7, td, heptside);
      
      else if(PURE) {
        if(&fsh == &shTriheptaFloor)
          bshape_regular(fsh, 0, S7/2, 0, hexside);
        else if(&fsh == &shBigTriangle)
          bshape_regular(fsh, 0, S7/2, S12, hexside);
        else
          bshape_regular(fsh, 0, S7, td, heptside);
        }
      else if(&fsh == &shBigTriangle) 
        bshape_regular(fsh, 0, S3, b+S14, hexside);
      else if(&fsh == &shTriheptaFloor)
        bshape_regular(fsh, 0, S3, b, hexside);
      else 
        bshape_regular(fsh, 0, S6, S7, hexside);
    
      
      continue;
      }

    // special
    ld sca = 3 * shFullFloor.rad0 / fsh.rad0;
    
    vector<hyperpoint> cornerlist;
    
    int cor = c->type;

    if(&fsh == &shTriheptaFloor) {
      if(!siid) {
        for(int i=0; i<cor; i++)
          cornerlist.push_back(midcorner(c, i, .49));
        }
      else {
        for(int i=0; i<cor; i++) {
          int ri = i;
          if((i&1) == ((sidir+siid)&1)) ri--;
          ri = fixdir(ri, c);
          cornerlist.push_back(mid(get_corner_position(c, ri, 3.1), get_corner_position(c, (ri+1) % c->type, 3.1)));
          }
        }
      }
    
    else if(&fsh == &shBigTriangle) {
      if(!siid) {
        for(int i=0; i<cor; i++) cornerlist.push_back(hpxy(0,0));
        }
      else {
        for(int i=0; i<cor; i++) {
          int ri = i;
          if((i&1) != ((sidir+siid)&1)) ri--;
          ri = fixdir(ri, c);
          hyperpoint nc = nearcorner(c, ri);
          cornerlist.push_back(mid_at(hpxy(0,0), nc, .94));
          }
        }
      }
  
    else if(&fsh == &shBigHepta) {
      if(!siid) {
        for(int i=0; i<cor; i++) {
          hyperpoint nc = nearcorner(c, i);
          cornerlist.push_back(mid_at(hpxy(0,0), nc, .94));
          }
        }
      else {
        for(int i=0; i<cor; i++) cornerlist.push_back(hpxy(0,0));
        }
      }
  
    else {
      for(int j=0; j<cor; j++)
        cornerlist.push_back(get_corner_position(c, j, sca));
      }
    
    sizeto(fsh.b, id);

    bshape(fsh.b[id], fsh.prio);
    if(cor == 2) {
      /* give digons some width */
      for(int i=0; i<cor; i++) hpcpush(spin(-.1) * cornerlist[i]), hpcpush(spin(+.1) * cornerlist[i]);
      hpcpush(spin(-.1) * cornerlist[0]);
      }
    else if(&fsh == &shTriheptaFloor && cor == 4 && siid)
      /* trihepta floors generate digons too */
      for(int i=0; i<=cor; i++) hpcpush(spin((i&1) ? .1 : -.1) * cornerlist[i%cor]);
    else
      for(int i=0; i<=cor; i++) hpcpush(cornerlist[i%cor]);
    
    sizeto(fsh.shadow, id);
    bshape(fsh.shadow[id], fsh.prio);
    for(int i=0; i<=cor; i++)
      hpcpush(mid_at(hpxy(0,0), cornerlist[i%cor], SHADMUL));
    
    // printf("at = %d,%d cor = %d sca = %lf\n", li.relative.first, li.relative.second, cor, sca);

    for(int k=0; k<SIDEPARS; k++) 
      for(int cid=0; cid<cor; cid++) {
        sizeto(fsh.gpside[k][cid], id);
        bshape(fsh.gpside[k][cid][id], fsh.prio);
        hpcpush(iddspin(c, cid) * cornerlist[cid]);
        hpcpush(iddspin(c, cid) * cornerlist[(cid+1)%cor]);
        chasmifyPoly(dlow_table[k], dhi_table[k], k);
        }
    }
  
  for(auto pfsh: all_escher_floorshapes) {
  
    auto& fsh = *pfsh;
    
    sizeto(fsh.b, id);
    sizeto(fsh.shadow, id);
    
    if(STDVAR && !binarytiling && !archimedean) {
      generate_matrices_scale(fsh.scale, fsh.noftype);
      if(PURE && geosupport_football() < 2 && fsh.shapeid2) {
        if(id == 0) bshape2(fsh.b[0], fsh.prio, fsh.shapeid2, hept_matrices);
        if(id == 1) bshape2(fsh.b[1], fsh.prio, fsh.shapeid2, hept_matrices);
        }
      else {
        if(id == 0) bshape2(fsh.b[0], fsh.prio, fsh.shapeid0, hex_matrices);
        if(id == 1) bshape2(fsh.b[1], fsh.prio, fsh.shapeid1, hept_matrices);
        }
      generate_matrices_scale(fsh.scale * SHADMUL, fsh.noftype);
      if(PURE && geosupport_football() < 2 && fsh.shapeid2) {
        if(id == 0) bshape2(fsh.shadow[0], fsh.prio, fsh.shapeid2, hept_matrices);
        if(id == 1) bshape2(fsh.shadow[1], fsh.prio, fsh.shapeid2, hept_matrices);
        }
      else {
        if(id == 0) bshape2(fsh.shadow[0], fsh.prio, fsh.shapeid0, hex_matrices);
        if(id == 1) bshape2(fsh.shadow[1], fsh.prio, fsh.shapeid1, hept_matrices);
        }
      }
    
    else {
      generate_matrices_scale(fsh.scale, fsh.noftype);

      auto& m = (siid && geosupport_football() == 2) ? hex_matrices : hept_matrices;
      
      int cor = c->type;
          
      m.n.sym = cor;

      int v = sidir+siid;
      
      for(int ii=0; ii<2; ii++) {
        int i = 0;       
        for(int d=0; d<m.o.sym; d++) {
          hyperpoint center = hpxy(0,0);
    
          for(int cid=0; cid<cor; cid++) {
            hyperpoint nlcorner = get_corner_position(c, (d+cid+v+1) % cor, 3 / fsh.scale * (ii ? 1/SHADMUL : 1));
            hyperpoint nrcorner = get_corner_position(c, (d+cid+v+2) % cor, 3 / fsh.scale * (ii ? 1/SHADMUL : 1));
            
            hyperpoint nfar = nearcorner(c, (d+cid+v+1) % cor);
            
            hyperpoint nlfar = farcorner(c, (d+cid+v+1) % cor, 0);
            hyperpoint nrfar = farcorner(c, (d+cid+v+1) % cor, 1);
            m.v[i].second[cid] = build_matrix(center, nlcorner, nrcorner);
            m.v[i+1].second[cid] = build_matrix(nfar, nlcorner, nrcorner);
            m.v[i+2].second[cid] = build_matrix(nfar, nlcorner, nlfar);
            m.v[i+3].second[cid] = build_matrix(nfar, nrcorner, nrfar);
            }
          
          i += 4;
          }
  
        if(i != isize(m.v)) printf("warning: i=%d sm=%d\n", i, isize(m.v));      
        bshape2((ii?fsh.shadow:fsh.b)[id], fsh.prio, (fsh.shapeid2 && geosupport_football() < 2) ? fsh.shapeid2 : siid?fsh.shapeid0:fsh.shapeid1, m);
        }
      }
    }
  
  #if MAXMDIM >= 4
  if(WDIM == 2 && GDIM == 3) {
    finishshape();
    for(auto pfsh: all_plain_floorshapes) {
      auto& fsh = *pfsh;

      for(int k=0; k<SIDEPARS; k++) {
        sizeto(fsh.levels[k], id);
        bshape(fsh.levels[k][id], fsh.prio);    
        last->flags |= POLY_TRIANGLES;
        last->tinf = &fsh.tinf3;
        last->texture_offset = 0;

        #if CAP_BT
        if(binarytiling) 
          for(int t=0; t<c->type; t++)
            texture_order([&] (ld x, ld y) {
              using namespace hyperpoint_vec;
              hyperpoint left = binary::get_corner_horo_coordinates(c, t);
              hyperpoint right = binary::get_corner_horo_coordinates(c, t+1);
              hpcpush(rgpushxto0(binary::get_horopoint(left * x + right * y)) * zpush(dfloor_table[k]) * C0);
              });
        else 
        #endif
        if(1) {
          int s = fsh.b[id].s;
          int e = fsh.b[id].e-1;        
          for(int t=0; t<e-s; t++) {
            using namespace hyperpoint_vec;
            hyperpoint center = zpush(dfloor_table[k]) * C0;
            hyperpoint v1 = (rgpushxto0(hpc[s+t]) * center - center);
            hyperpoint v2 = (rgpushxto0(hpc[s+t+1]) * center - center);
            texture_order([&] (ld x, ld y) { hpcpush(normalize(center + v1 * x + v2 * y)); });
            }
          }
        }
      
      sizeto(fsh.cone, id);
      bshape(fsh.cone[id], fsh.prio);    
      last->flags |= POLY_TRIANGLES;
      last->tinf = &fsh.tinf3;
      last->texture_offset = 0;
      #if CAP_BT
      if(binarytiling)
        for(int t=0; t<c->type; t++)
          texture_order([&] (ld x, ld y) {
            using namespace hyperpoint_vec;
            hyperpoint left = binary::get_corner_horo_coordinates(c, t);
            hyperpoint right = binary::get_corner_horo_coordinates(c, t+1);
            hpcpush(rgpushxto0(binary::get_horopoint(left * x + right * y)) * zpush(geom3::WALL + (geom3::FLOOR-geom3::WALL) * (x+y)) * C0);
            });
      else
      #endif
      if(1) {
        int s = fsh.b[id].s;
        int e = fsh.b[id].e-1;        
        for(int t=0; t<e-s; t++) {
          using namespace hyperpoint_vec;
          hyperpoint v1 = hpc[s+t] - C0;
          hyperpoint v2 = hpc[s+t+1] - C0;
          texture_order([&] (ld x, ld y) { hpcpush(rgpushxto0(normalize(C0 + v1 * x + v2 * y))*zpush(geom3::WALL + (geom3::FLOOR-geom3::WALL) * (x+y))*C0); });
          }
        }

      for(int l=0; l<SIDEPARS; l++) {
        for(auto& li: fsh.side[l]) li.tinf = &fsh.tinf3;
        for(int e=0; e<MAX_EDGE; e++)
          for(auto& li: fsh.gpside[l][e]) li.tinf = &fsh.tinf3;
        }
      }
      
    for(auto pfsh: all_escher_floorshapes) {
      auto& fsh = *pfsh;
      
      for(int l=0; l<SIDEPARS; l++) {
        fsh.levels[l] = shFullFloor.levels[l];
        for(auto& li: fsh.levels[l]) li.tinf = &fsh.tinf3;
        fsh.side[l] = shFullFloor.side[l];
        for(auto& li: fsh.side[l]) li.tinf = &fsh.tinf3;
        for(int e=0; e<MAX_EDGE; e++) {
          fsh.gpside[l][e] = shFullFloor.gpside[l][e];
          for(auto& li: fsh.gpside[l][e]) li.tinf = &fsh.tinf3;
          }
        fsh.cone = shFullFloor.cone;
        for(auto& li: fsh.cone) li.tinf = &fsh.tinf3;
        }
      }
    finishshape();
    }
  #endif
  }

void generate_floorshapes() {

  if(WDIM == 3) ;
  
  #if CAP_IRR
  else if(IRREGULAR) {
    printf("generating irregular floorshapes...\n");
    cell model;

    int cc = isize(irr::cells);
    
    for(int id=0; id<cc; id++) {
      irr::cellindex[&model] = id;
      auto& vs = irr::cells[id];
      model.type = isize(vs.vertices);
      int siid = !vs.is_pseudohept;
      int sidir = 0;
      if(siid) sidir = irr::cells[vs.neid[0]].is_pseudohept;
      generate_floorshapes_for(id, &model, !vs.is_pseudohept, sidir);
      }

    printf("done\n");
    }
  #endif
    
  else if(GOLDBERG) { /* will be generated on the fly */ }
  
  #if CAP_ARCM
  else if(archimedean) {
    heptagon master;
    cell model;
    model.master = &master;
    arcm::parent_index_of(&master) = 0;
    auto &ac = arcm::current;
    for(int i=0; i<2*ac.N + 2; i++) {
      arcm::id_of(&master) = i;
      model.type = isize(ac.triangles[i]);
      if(DUAL) model.type /= 2, arcm::parent_index_of(&master) = !(i&1);
      
      if(BITRUNCATED)
        generate_floorshapes_for(i, &model, !arcm::pseudohept(&model), arcm::pseudohept(&model) ? 0 : 1^(i&1));
      else if(geosupport_football() == 2)
        generate_floorshapes_for(i, &model, !arcm::pseudohept(&model), i >= 4 ? 1 : 0);
      else
        generate_floorshapes_for(i, &model, 0, 0);
      }
    }
  #endif
  
  else {
    cell model;
    model.type = S6; generate_floorshapes_for(0, &model, 0, 0);
    model.type = S7; generate_floorshapes_for(1, &model, binarytiling ? 0 : 1, 0);
    }
  }

#if CAP_GP
namespace gp {
  int pshid[3][8][32][32][8];
  int nextid;
  
  void clear_plainshapes() {
    for(int m=0; m<3; m++)
    for(int sd=0; sd<8; sd++)
    for(int i=0; i<32; i++)
    for(int j=0; j<32; j++)
    for(int k=0; k<8; k++)
      pshid[m][sd][i][j][k] = -1;
    nextid = 0;
    }

  void build_plainshape(int& id, gp::local_info& li, cell *c0, int siid, int sidir) {
    id = nextid++;
  
    bool master = !(li.relative.first||li.relative.second);
    int cor = master ? S7 : SG6;
    if(master) li.last_dir = -1;
    if(debug_geometry) 
      printf("last=%d at=%d,%d tot=%d siid=%d sidir=%d cor=%d id=%d\n", li.last_dir, li.relative.first, li.relative.second, li.total_dir, siid, sidir, cor, id);
      
    generate_floorshapes_for(id, c0, siid, sidir);
    
    finishshape(); last = NULL;
    extra_vertices();
    }
  
  int get_plainshape_id(cell *c) {
    int siid, sidir;
    if(geosupport_threecolor() == 2) {
      auto si = patterns::getpatterninfo(c, patterns::PAT_COLORING, patterns::SPF_NO_SUBCODES);
      siid = si.id>>2;
      // if(siid == 2) si.dir++;
      // if(siid != pattern_threecolor(c)) printf("threecolor mismatch\n");
      // if(pattern_threecolor(createMov(c, fixdir(si.dir, c))) != (siid+1)%3) printf("threecolor mismatch direction\n");
      sidir = fixdir(si.dir, c);
      }
    else if(geosupport_football() == 2) {
      siid = !pseudohept(c);
      sidir = !ishex1(c);
      }
    else {
      siid = 0;
      sidir = 0;
      }
    auto& id = pshid[siid][sidir][draw_li.relative.first&31][draw_li.relative.second&31][fix6(draw_li.total_dir)];
    if(id == -1 && sphere && isize(shFloor.b) > 0) {
      forCellEx(c1, c) if(!gmatrix0.count(c1)) return 0;
      }
    if(id == -1) build_plainshape(id, draw_li, c, siid, sidir);
    return id;
    }
  }
#endif

qfloorinfo qfi;

void set_no_floor() {
  qfi.fshape = NULL;
  qfi.shape = NULL;
  qfi.tinf = NULL;
  qfi.usershape = -1;
  }

void set_floor(floorshape& sh) {
  qfi.fshape = &sh;
  qfi.shape = NULL;
  qfi.tinf = NULL;
  qfi.usershape = -1;
  }

void set_floor(hpcshape& sh) {
  qfi.shape = &sh;
  qfi.fshape = NULL;
  qfi.spin = Id;
  qfi.tinf = NULL;
  qfi.usershape = -1;
  }

void set_floor(const transmatrix& spin, hpcshape& sh) {
  qfi.shape = &sh;
  qfi.fshape = NULL;
  qfi.spin = spin;
  qfi.usershape = -1;
  }

void draw_shapevec(cell *c, const transmatrix& V, const vector<hpcshape> &shv, color_t col, PPR prio = PPR::DEFAULT) {
  if(!c) queuepolyat(V, shv[0], col, prio);
  else if(WDIM == 3) ;
  #if CAP_GP
  else if(GOLDBERG) {
    int id = gp::get_plainshape_id(c);
    queuepolyat(V, shv[id], col, prio);
    }
  #endif
  #if CAP_IRR
  else if(IRREGULAR) {
    int id = irr::cellindex[c];
    if(id < 0 || id >= isize(shv)) {
      return;
      }
    queuepolyat(V, shv[id], col, prio);
    }
  #endif
  #if CAP_ARCM
  else if(archimedean) {
    queuepolyat(V, shv[arcm::id_of(c->master)], col, prio);
    }
  #endif
  else if((euclid || GOLDBERG) && ishex1(c)) 
    queuepolyat(V * pispin, shv[0], col, prio);
  else if(!(S7&1) && PURE) {
    auto si = patterns::getpatterninfo(c, patterns::PAT_COLORING, 0);
    if(si.id == 8) si.dir++;
    transmatrix D = applyPatterndir(c, si);    
    queuepolyat(V*D, shv[pseudohept(c)], col, prio);
    }
  else if(geosupport_threecolor() == 2)
    queuepolyat(V, shv[pseudohept(c)], col, prio);
  else if(binarytiling)
    queuepolyat(V, shv[c->type-6], col, prio);
  else
    queuepolyat(V, shv[ctof(c)], col, prio);
  }

void draw_floorshape(cell *c, const transmatrix& V, const floorshape &fsh, color_t col, PPR prio = PPR::DEFAULT) {
  draw_shapevec(c, V, fsh.b, col, prio);
  }

void draw_qfi(cell *c, const transmatrix& V, color_t col, PPR prio = PPR::DEFAULT, vector<hpcshape> floorshape::* tab = &floorshape::b) {
  if(qfi.shape)
    queuepolyat(V * qfi.spin, *qfi.shape, col, prio);
  else if(qfi.usershape >= 0) {
    mapeditor::drawUserShape(V * qfi.spin, mapeditor::sgFloor, qfi.usershape, col, c);
    }
  else if(!qfi.fshape) ;
#if CAP_TEXTURE
  else if(qfi.tinf) {
    auto& poly = queuetable(V * qfi.spin, qfi.tinf->vertices, isize(qfi.tinf->vertices), texture::config.mesh_color, texture::config.recolor(col), prio == PPR::DEFAULT ? PPR::FLOOR : prio);
    poly.tinf = qfi.tinf;
    poly.offset_texture = 0;
    poly.flags = POLY_INVERSE;
    }
#endif
  else draw_shapevec(c, V, (qfi.fshape->*tab), col, prio);
  }

bool floorshape_debug;
void viewmat() {
  if(floorshape_debug) {
    transmatrix V = ggmatrix(cwt.at);
    
    for(int i=0; i<cwt.at->type; i++) {
      hyperpoint ci = V * get_corner_position(cwt.at, i);
      hyperpoint ci1 = V * get_corner_position(cwt.at, (i+1) % cwt.at->type);
      hyperpoint cn = V * nearcorner(cwt.at, i);
      hyperpoint cf0 = V * farcorner(cwt.at, i, 0);
      hyperpoint cf1 = V * farcorner(cwt.at, i, 1);
      queuestr(ci, 20, its(i), 0x0000FF, 1);
      if(vid.grid)
        queuestr(cn, 20, its(i), 0x00FF00, 1);
      else
        queuestr(gmatrix[cwt.at->move(i)] * C0, 20, its(i), 0x00FFFF, 1);
      queueline(V * C0, ci, 0xFFFFFFFF, 3);
      queueline(ci, ci1, 0xFFFF00FF, 3);
      queueline(ci, cn, 0xFF00FFFF, 3);
      queueline(ci1, cn, 0xFF0000FF, 3);
      queueline(ci, cf0, 0x00FFFFFF, 3);
      queueline(cn, cf0, 0x00FF00FF, 3);
      queueline(cn, cf1, 0x0000FFFF, 3);
      }
    }
  }

#if CAP_COMMANDLINE
auto floor_hook = 
  addHook(hooks_args, 100, [] () {
    using namespace arg;             
    if(argis("-floordebug")) { floorshape_debug = true; return 0; }
    else return 1;
    });
#endif
#endif

#if MAXMDIM >= 4

renderbuffer *floor_textures;

void draw_shape_for_texture(floorshape* sh, int& id) {

  ld gx = (id % 8) * 1.5 - 3.5 * 1.5;
  ld gy = (id / 8) * 1.5 - 3.5 * 1.5;
  id++;

  if(1) {
    dynamicval<ld> v(vid.linewidth, 8);
    curvepoint(eupush(gx+.5, gy-.5) * C0);
    curvepoint(eupush(gx+.5, gy+.5) * C0);
    curvepoint(eupush(gx-.5, gy+.5) * C0);
    curvepoint(eupush(gx-.5, gy-.5) * C0);
    curvepoint(eupush(gx+.5, gy-.5) * C0);
    queuecurve(0x000000FF, 0xFFFFFFFF - 0x1010100 * (sh->pstrength * 24/10), PPR::LAKELEV);
    }

  poly_outline = 0xFFFFFFFF - 0x1010100 * (sh->pstrength * 3/2);

  for(int a=-1; a<=1; a++)
  for(int b=-1; b<=1; b++)
    queuepoly(eupush(gx+a/2., gy+b/2.), sh->b[0], 0xFFFFFFFF);

  if(sh == &shCrossFloor) {
    queuepoly(eupush(gx, gy) * spin(M_PI/4), shCross, 0x808080FF);
    }

  if(1) {
    dynamicval<ld> v(vid.linewidth, 8);
    curvepoint(eupush(gx+.25, gy-.25) * C0);
    curvepoint(eupush(gx+.25, gy+.25) * C0);
    curvepoint(eupush(gx-.25, gy+.25) * C0);
    curvepoint(eupush(gx-.25, gy-.25) * C0);
    curvepoint(eupush(gx+.25, gy-.25) * C0);
    queuecurve(0x40404000 + sh->fstrength * 192/10, 0, PPR::LINE);
    }
  
  sh->tinf3.tvertices.clear();
  sh->tinf3.texture_id = floor_textures->renderedTexture;
  
  using namespace hyperpoint_vec;
  hyperpoint center = eupush(gx, gy) * C0;
  hyperpoint v1 = hpxyz3(0.25, 0.25, 0, 0);
  hyperpoint v2 = hpxyz3(0.25, -0.25, 0, 0);

  for(int a=0; a<8; a++)
    texture_order([&] (ld x, ld y) {
      hyperpoint h = center + v1 * x + v2 * y;
      hyperpoint inmodel;
      applymodel(h, inmodel);
      glvec2 v;
      v[0] = (1 + inmodel[0] * vid.scale) / 2;
      v[1] = (1 - inmodel[1] * vid.scale) / 2;
      sh->tinf3.tvertices.push_back(glhr::makevertex(v[0], v[1], 0));
      });
  }

const int FLOORTEXTURESIZE = 4096;

void make_floor_textures() {
  if(1) {
    dynamicval<eGeometry> g(geometry, gEuclidSquare);
    dynamicval<eModel> gm(pmodel, mdDisk);
    dynamicval<eVariation> va(variation, eVariation::pure);
    dynamicval<bool> a3(geom3::always3, false);
    dynamicval<bool> hq(inHighQual, true);
    dynamicval<int> hd(darken, 0);
    dynamicval<ld> gd(geom3::depth, 1);
    dynamicval<ld> gc(geom3::camera, 1);
  
    resetGeometry();
    dynamicval<videopar> vi(vid, vid);
    vid.xres = FLOORTEXTURESIZE;
    vid.yres = FLOORTEXTURESIZE;
    vid.scale = 0.25;
    vid.camera_angle = 0;
    vid.alpha = 1;
    dynamicval<ld> lw(vid.linewidth, 2);

    floor_textures = new renderbuffer(vid.xres, vid.yres, vid.usingGL);
    resetbuffer rb;

    auto cd = current_display;
    cd->xtop = cd->ytop = 0;
    cd->xsize = cd->ysize = FLOORTEXTURESIZE;
    cd->xcenter = cd->ycenter = cd->scrsize = FLOORTEXTURESIZE/2;
    
    cd->radius = cd->scrsize * vid.scale;

    floor_textures->enable();
    floor_textures->clear(0); // 0xE8E8E8 = 1
    
    // gradient vertices
    vector<glhr::colored_vertex> gv;
    current_display->scrdist = 0;
    gv.emplace_back(-1, -1, 0, 0, 0);
    gv.emplace_back(+1, -1, 0, 0, 0);
    gv.emplace_back(+1, +1, 1, 1, 1);
    gv.emplace_back(-1, -1, 0, 0, 0);
    gv.emplace_back(+1, +1, 1, 1, 1);
    gv.emplace_back(-1, +1, 1, 1, 1);

    glhr::switch_mode(glhr::gmVarColored, glhr::shader_projection::standard);
    current_display->set_all(0);
    glhr::new_projection();
    glhr::id_modelview();
    glhr::prepare(gv);
    glhr::set_depthtest(false);
    glDrawArrays(GL_TRIANGLES, 0, isize(gv));
    
    shOverFloor.pstrength = 20;
    shFeatherFloor.pstrength = 40;
    shFeatherFloor.fstrength = 5;
    shTrollFloor.pstrength = 25;
    shCaveFloor.pstrength = 40;
    shCaveFloor.fstrength = 0;
    shDesertFloor.pstrength = 30;
    shDesertFloor.fstrength =10;
    shRoseFloor.pstrength = 30;
    shDragonFloor.pstrength = 30;
    shBarrowFloor.pstrength = 40;

    // all using Tortoise
    for(auto v: all_escher_floorshapes) if(v->shapeid2 == 178) v->pstrength = 20;
    
    ptds.clear();
    
    int id = 0;
    
    for(auto v: all_plain_floorshapes) draw_shape_for_texture(v, id);
    for(auto v: all_escher_floorshapes) draw_shape_for_texture(v, id);
    
    drawqueue();
    
    /*
    SDL_Surface *sdark = floor_textures->render();
    IMAGESAVE(sdark, "texture-test.png"); 
    */
    rb.reset();
    }
  
  need_reset_geometry = true;
  }


#endif
}