hyperrogue/hyper.h

// This is the main header file of HyperRogue. Mostly everything is dumped here.
// It is quite chaotic.

// version numbers
#define VER "11.0ż"
#define VERNUM_HEX 0xA61B

#include <stdarg.h>
#include "hyper_function.h"

namespace hr {

struct always_false {
  operator bool() const { return false; };
  void operator = (bool b) const {};
  };

template<class T>
void ignore(T&&) {
  // placate GCC's overzealous -Wunused-result
  }

template<class T, class V, class... U> bool among(T x, V y) { return x == y; }
template<class T, class V, class... U> bool among(T x, V y, U... u) { return x==y || among(x,u...); }

// functions and types used from the standard library
using std::vector;
using std::map;
using std::array;
using std::unordered_map;
using std::sort;
using std::multimap;
using std::set;
using std::string;
using std::pair;
using std::tuple;
using std::shared_ptr;
using std::make_shared;
using std::min;
using std::max;
using std::make_pair;
using std::tie;
using std::queue;
using std::swap;
using std::complex;
using std::reverse;
using std::real;
using std::imag;
using std::stable_sort;
using std::out_of_range;
using std::get;
using std::move;
using std::make_tuple;
using std::unique_ptr;

using std::abs;
using std::isfinite;
using std::isnan;
using std::isinf;
using std::log;
using std::exp;
using std::sin;
using std::cos;
using std::sinh;
using std::asin;
using std::acos;
using std::tan;
using std::atan;
using std::atan2;
using std::tanh;
using std::sqrt;
using std::pow;
using std::floor;
using std::ceil;
#ifndef NO_STD_HYPOT
using std::hypot;
using std::asinh;
using std::acosh;
#endif

struct hr_exception: std::exception { hr_exception() {} };
struct hr_shortest_path_exception: hr_exception { };

// genus (in grammar)
#define GEN_M 0
#define GEN_F 1
#define GEN_N 2
#define GEN_O 3

// Add a message to the GUI.
// If multiple messages appear with the same spamtype != 0, the older ones disappear quickly
void addMessage(string s, char spamtype = 0);

// geometry-dependent constants

#define ALPHA (M_PI*2/S7)
#define S7 ginf[geometry].sides
#define S3 ginf[geometry].vertex
#define hyperbolic_37 (S7 == 7 && S3 == 3 && !binarytiling && !archimedean)
#define hyperbolic_not37 ((S7 > 7 || S3 > 3 || binarytiling || archimedean) && hyperbolic)
#define weirdhyperbolic ((S7 > 7 || S3 > 3 || !STDVAR || binarytiling || archimedean) && hyperbolic)
#define stdhyperbolic (S7 == 7 && S3 == 3 && STDVAR && !binarytiling && !archimedean)

#define binarytiling (ginf[geometry].flags & qBINARY)
#define archimedean (geometry == gArchimedean)

// these geometries do not feature alternate structures for horocycles
#define eubinary (euclid || binarytiling || geometry == gCrystal)

#define cgclass (ginf[geometry].cclass)
#define euclid (cgclass == gcEuclid)
#define sphere (cgclass == gcSphere)
#define hyperbolic (cgclass == gcHyperbolic)
#define nonorientable (ginf[geometry].flags & qNONORIENTABLE)
#define elliptic (ginf[geometry].flags & qELLIPTIC)
#define quotient (ginf[geometry].flags & qANYQ)
#define euwrap (quotient && euclid)
#define fulltorus (bounded && euclid)
#define smallbounded (ginf[geometry].flags & qSMALL)
#define bounded (ginf[geometry].flags & qBOUNDED)

// Dry Forest burning, heat transfer, etc. are performed on the whole universe
#define doall (bounded)

// These geometries are generated without the heptagon structure. 
// 'master' holds the coordinates
#define masterless among(geometry, gEuclid, gEuclidSquare, gTorus)

#define sphere_narcm (sphere && !archimedean)

#define a4 (S3 == 4)
#define a45 (S3 == 4 && S7 == 5)
#define a46 (S3 == 4 && S7 == 6)
#define a47 (S3 == 4 && S7 == 7)
#define a457 (S3 == 4 && S7 != 6)
#define a467 (S3 == 4 && S7 >= 6)
#define a38 (S3 == 3 && S7 == 8)
#define sphere4 (sphere && S7 == 4)
#define stdeuc (geometry == gNormal || geometry == gEuclid || geometry == gEuclidSquare)
#define smallsphere (sphere_narcm && S7 < 5)
#define bigsphere (sphere_narcm && S7 == 5)
#define euclid4 (masterless && a4)
#define euclid6 (masterless && !a4)

#define S6 (S3*2)
#define MAX_S3 4

#define SG6 (S3==3?6:4)
#define SG3 (S3==3?3:2)
#define SG2 (S3==3?2:1)

#define GOLDBERG (variation == eVariation::goldberg)
#define IRREGULAR (variation == eVariation::irregular)
#define PURE (variation == eVariation::pure)
#define BITRUNCATED (variation == eVariation::bitruncated)
#define DUAL (variation == eVariation::dual)
#define DUALMUL (DUAL ? 2 : 1)

#define CHANGED_VARIATION (variation != ginf[geometry].default_variation)

#define STDVAR (PURE || BITRUNCATED)
#define NONSTDVAR (!STDVAR)

#if CAP_ARCM
#define VALENCE (BITRUNCATED ? 3 : archimedean ? arcm::valence() : S3)
#else
#define VALENCE (BITRUNCATED ? 3 : S3)
#endif

#define NUMWITCH 7

// achievements

#define LB_YENDOR_CHALLENGE 40
#define LB_PURE_TACTICS 41
#define NUMLEADER 82
#define LB_PURE_TACTICS_SHMUP 49
#define LB_PURE_TACTICS_COOP 50
#define LB_RACING 81

#if ISMOBILE || ISWEB || ISPANDORA || 1
typedef double ld;
#define LDF "%lf"
#define PLDF "lf"
#else
typedef long double ld;
#define LDF "%Lf"
#define PLDF "Lf"
#endif

typedef complex<ld> cld;

struct charstyle {
  int charid;
  color_t skincolor, haircolor, dresscolor, swordcolor, dresscolor2, uicolor, eyecolor;
  bool lefthanded;
  };

static const int MAXPLAYER = 7;
static const int MAXJOY = 8;
static const int MAXBUTTON = 64;
static const int MAXAXE = 16;
static const int MAXHAT = 4;

namespace multi {

  struct config {
    char keyaction[512];
    char joyaction[MAXJOY][MAXBUTTON];
    char axeaction[MAXJOY][MAXAXE];
    char hataction[MAXJOY][MAXHAT][4];
    int  deadzoneval[MAXJOY][MAXAXE];
    };

  extern config scfg;  
  }

enum eStereo { sOFF, sAnaglyph, sLR, sODS };

struct videopar {
  ld scale, alpha, sspeed, mspeed, yshift, camera_angle;
  ld ballangle, ballproj, euclid_to_sphere, twopoint_param, stretch, binary_width, fixed_facing_dir;
  int mobilecompasssize;
  int radarsize; // radar for 3D geometries
  int aurastr, aurasmoothen;
  bool fixed_facing;
  bool fixed_yz;
  bool use_wall_radar;
  
  int linequality;

  bool full;
  
  int graphglyph; // graphical glyphs
  bool darkhepta;
  int shifttarget;
  
  int xres, yres, framelimit;
  
  int xscr, yscr;
  
  ld xposition, yposition;
  
  bool grid;
  int particles;
  
  int fsize;
  int flashtime;
  
  int wallmode, monmode, axes;
  bool revcontrol;
  
  int msgleft, msglimit;

  bool usingGL;
  int antialias;
  #define AA_NOGL      1
  #define AA_VERSION   2
  #define AA_LINES     4
  #define AA_POLY      8
  #define AA_LINEWIDTH 16
  #define AA_FONT      32
  #define AA_MULTI     64
  #define AA_MULTI16   128 // not configurable
  ld linewidth;

  int joyvalue, joyvalue2, joypanthreshold;
  ld joypanspeed;
  
  charstyle cs;
  
  bool samegender; // same gender for the Princess?
  int language;
  
  bool backeffects; // background particle effects
  
  int killreduction, itemreduction, portreduction;
  
  int steamscore;
  bool drawmousecircle; // draw the circle around the mouse
  bool skipstart;       // skip the start menu
  bool quickmouse;      // quick mouse on the map
  bool sloppy_3d;       // make 3D faster but ugly
  int timeformat;       // time format used in the message log
  
  int use_smart_range;  // 0 = distance-based, 1 = model-based, 2 = model-based and generate
  ld smart_range_detail;// minimum visible cell for modes 1 and 2
  ld smart_range_detail_3;// minimum visible cell in 3D (for mode 2, there is no mode 1)
  int cells_drawn_limit;
  int cells_generated_limit; // limit on cells generated per frame
  
  ld skiprope;

  eStereo stereo_mode;
  ld ipd;
  ld lr_eyewidth, anaglyph_eyewidth;
  ld fov;
  bool consider_shader_projection;
  int desaturate;
  int texture_step;

  
  bool always3;  // always use the 3D engine
  ld depth;      // world level below the plane
  ld camera;     // camera level above the plane
  ld wall_height, creature_scale, height_width;
  eModel vpmodel;
  ld lake_top, lake_bottom;
  ld rock_wall_ratio;
  ld human_wall_ratio;

  int tc_alpha, tc_depth, tc_camera;
  ld highdetail, middetail;
  bool gp_autoscale_heights;
  
  ld eye;
  bool auto_eye;
  };

extern videopar vid;

#if MAXMDIM == 3
#define WDIM 2
#else
#define WDIM ((geometry >= gBinary3) ? 3 : 2)
#endif
#define GDIM (vid.always3 ? 3 : WDIM)
#define DIM GDIM
#define MDIM (DIM+1)

extern array<ld, gGUARD> sightranges;

struct hyperpoint : array<ld, MAXMDIM> {
  hyperpoint() {}
  
  hyperpoint(ld x, ld y, ld z, ld w) { 
    (*this)[0] = x; (*this)[1] = y; (*this)[2] = z; 
    if(MAXMDIM == 4) (*this)[3] = w;
    }
  };

struct transmatrix {
  ld tab[MAXMDIM][MAXMDIM];
  ld * operator [] (int i) { return tab[i]; }
  const ld * operator [] (int i) const { return tab[i]; }
  };

inline hyperpoint operator * (const transmatrix& T, const hyperpoint& H) {
  hyperpoint z;
  for(int i=0; i<MDIM; i++) {
    z[i] = 0;
    for(int j=0; j<MDIM; j++) z[i] += T[i][j] * H[j];
    }
  return z;
  }

inline transmatrix operator * (const transmatrix& T, const transmatrix& U) {
  transmatrix R;
  for(int i=0; i<MDIM; i++) for(int j=0; j<MDIM; j++) {
    R[i][j] = 0;
    for(int k=0; k<MDIM; k++)
      R[i][j] += T[i][k] * U[k][j];
    }
  return R;
  }

constexpr transmatrix diag(ld a, ld b, ld c, ld d) {
  #if MAXMDIM==3
  return transmatrix{{{a,0,0}, {0,b,0}, {0,0,c}}};
  #else
  return transmatrix{{{a,0,0,0}, {0,b,0,0}, {0,0,c,0}, {0,0,0,d}}};
  #endif
  }

const static hyperpoint Hypc = hyperpoint(0, 0, 0, 0);

// identity matrix
const static transmatrix Id = diag(1,1,1,1);

// zero matrix
const static transmatrix Zero = diag(0,0,0,0);

// mirror image
const static transmatrix Mirror = diag(1,-1,1,1);
const static transmatrix MirrorY = diag(1,-1,1,1);

// mirror image
const static transmatrix MirrorX = diag(-1,1,1,1);

// mirror image
const static transmatrix MirrorZ = diag(1,1,-1,1);

// rotate by PI
const static transmatrix pispin = diag(-1,-1,1,1);

// central symmetry
const static transmatrix centralsym = diag(-1,-1,-1,-1);

inline hyperpoint hpxyz(ld x, ld y, ld z) { return DIM == 2 ? hyperpoint(x,y,z,0) : hyperpoint(x,y,0,z); }
inline hyperpoint hpxyz3(ld x, ld y, ld z, ld w) { return DIM == 2 ? hyperpoint(x,y,w,0) : hyperpoint(x,y,z,w); }
inline hyperpoint point3(ld x, ld y, ld z) { return hyperpoint(x,y,z,0); }
inline hyperpoint point2(ld x, ld y) { return hyperpoint(x,y,0,0); }

namespace hyperpoint_vec {

  inline hyperpoint& operator *= (hyperpoint& h, ld d) {
    for(int i=0; i<MDIM; i++) h[i] *= d;
    return h;
    }
  
  inline hyperpoint& operator /= (hyperpoint& h, ld d) { 
    for(int i=0; i<MDIM; i++) h[i] /= d;
    return h;
    }
  
  inline hyperpoint operator += (hyperpoint& h, hyperpoint h2) { 
    for(int i=0; i<MDIM; i++) h[i] += h2[i];
    return h;
    }

  inline hyperpoint operator -= (hyperpoint& h, hyperpoint h2) { 
    for(int i=0; i<MDIM; i++) h[i] -= h2[i];
    return h;
    }

  inline hyperpoint operator * (ld d, hyperpoint h) { return h *= d; }  
  inline hyperpoint operator * (hyperpoint h, ld d) { return h *= d; }  
  inline hyperpoint operator / (hyperpoint h, ld d) { return h /= d; }  
  inline hyperpoint operator + (hyperpoint h, hyperpoint h2) { return h += h2; }
  inline hyperpoint operator - (hyperpoint h, hyperpoint h2) { return h -= h2; }

  // cross product  
  inline hyperpoint operator ^ (hyperpoint h1, hyperpoint h2) {
    return hpxyz(
      h1[1] * h2[2] - h1[2] * h2[1],
      h1[2] * h2[0] - h1[0] * h2[2],
      h1[0] * h2[1] - h1[1] * h2[0]
      );
    }

  // inner product (in R^3)
  inline ld operator | (hyperpoint h1, hyperpoint h2) {
    ld sum = 0;
    for(int i=0; i<MDIM; i++) sum += h1[i] * h2[i];
    return sum;
    }    
  }


extern int cellcount, heptacount;

// cell information for the game

struct gcell {

#if CAP_BITFIELD
  // main fields
  eLand land : 8;
  eWall wall : 8;
  eMonster monst : 8;
  eItem item : 8;

  // if this is a barrier, what lands on are on the sides?
  eLand barleft : 8, barright : 8; 

  unsigned ligon : 1;    // is it sparkling with lightning?

  signed 
    mpdist : 7,
    pathdist : 8,       // player distance wrt usual movement
    cpdist : 8;         // current/minimum player distance

  unsigned 
    mondir : 8,         // monster direction, for multi-tile monsters and graphics
    bardir : 8,         // barrier direction
    stuntime : 8,       // stun time left (for Palace Guards and Skeletons)
    hitpoints : 7,      // hitpoints left (for Palace Guards, also reused as cpid for mirrors)
    monmirror : 1;      // monster mirroring state for nonorientable geometries
  
  unsigned landflags : 8;      // extra flags for land
#else
  eLand land;
  eWall wall;
  eMonster monst;
  eItem item;
  eLand barleft, barright;
  bool ligon, monmirror;
  signed char pathdist, cpdist, mpdist;
  
  unsigned char mondir, bardir, stuntime, hitpoints;
  unsigned char landflags;
#endif
  
  // 'landparam' is used for: 
  // heat in Icy/Cocytus; 
  // heat in Dry (0..10); 
  // CR2 structure; 
  // hive Weird Rock color / pheromones;
  // Ocean/coast depth;
  // Bomberbird Egg hatch time / mine marking;
  // number of Ancient Jewelry;
  // improved tracking in Trollheim
  union { 
    int32_t landpar; 
    unsigned int landpar_color;
    float heat; 
    char bytes[4]; 
    struct fieldinfo { 
      uint16_t fieldval;
      unsigned rval : 4;
      unsigned flowerdist : 4;
      unsigned walldist : 4;
      unsigned walldist2 : 4;
      } fi;
  
  } LHU;
  
  #ifdef CELLID
  int cellid;
  #endif
  
  gcell() { cellcount++; 
    #ifdef CELLID
    cellid = cellcount;  
    #endif
    }
  ~gcell() { cellcount--; }
  };

#define landparam LHU.landpar
#define landparam_color LHU.landpar_color

#define fval LHU.fi.fieldval

#define NODIR 126
#define NOBARRIERS 127
#define MODFIXER (2*10090080*17)

#define MAX_EDGE 18

template<class T> struct walker;

template<class T> struct connection_table {

  // Assumption: class T has a field c of type connection_table<T>.

  // NOTE: since aconnection_table may be allocated with
  // less than MAX_EDGE neighbors (see tailored_alloc),
  // the order of fields matters.

  T* move_table[MAX_EDGE + (MAX_EDGE + sizeof(char*) - 1) / sizeof(char*)];
  
  unsigned char *spintable() { return (unsigned char*) (&move_table[full()->degree()]); }

  T* full() { T* x = (T*) this; return (T*)((char*)this - ((char*)(&(x->c)) - (char*)x)); }
  void setspin(int d, int spin, bool mirror) { 
    unsigned char& c = spintable() [d];
    c = spin;
    if(mirror) c |= 128;
    }
  // we are spin(i)-th neighbor of move[i]
  int spin(int d) { return spintable() [d] & 127; }
  bool mirror(int d) { return spintable() [d] & 128; }  
  int fix(int d) { return (d + MODFIXER) % full()->degree(); }
  T*& modmove(int i) { return move(fix(i)); }
  T*& move(int i) { return move_table[i]; }
  unsigned char modspin(int i) { return spin(fix(i)); }
  void fullclear() { 
    for(int i=0; i<full()->degree(); i++) move_table[i] = NULL;
    }
  void connect(int d0, T* c1, int d1, bool m) {
    move(d0) = c1;
    c1->move(d1) = full();
    setspin(d0, d1, m);
    c1->c.setspin(d1, d0, m);    
    }
  void connect(int d0, walker<T> hs) {
    connect(d0, hs.at, hs.spin, hs.mirrored);
    }
  };

// Allocate a class T with a connection_table, but 
// with only `degree` connections. Also set yet
// unknown connections to NULL.

// Generating the hyperbolic world consumes lots of
// RAM, so we really need to be careful on low memory devices. 

template<class T> T* tailored_alloc(int degree) {
  const T* sample = (T*) &degree;
  T* result;
#ifndef NO_TAILORED_ALLOC
  int b = (char*)&sample->c.move_table[degree] + degree - (char*) sample;
  result = (T*) new char[b];
  new (result) T();
#else
  result = new T;
#endif
  result->type = degree;
  for(int i=0; i<degree; i++) result->c.move_table[i] = NULL;
  return result;
  }

template<class T> void tailored_delete(T* x) {
  x->~T();  
  delete[] ((char*) (x));
  }

static const struct wstep_t { wstep_t() {} } wstep;
static const struct wmirror_t { wmirror_t() {}} wmirror;
static const struct rev_t { rev_t() {} } rev;
static const struct revstep_t { revstep_t() {}} revstep;

int hrand(int x);

// automatically adjust monster generation for 3D geometries
int hrand_monster(int x);

template<class T> struct walker {
  T *at;
  int spin;
  bool mirrored;
  walker<T> (T *at = NULL, int s = 0, bool m = false) : at(at), spin(s), mirrored(m) { }
  walker<T>& operator += (int i) {
    spin = at->c.fix(spin+(mirrored?-i:i));
    return (*this);
    }
  walker<T>& operator -= (int i) {
    spin = at->c.fix(spin-(mirrored?-i:i));
    return (*this);
    }
  walker<T>& operator += (wmirror_t) {
    mirrored = !mirrored;
    return (*this);
    }
  walker<T>& operator += (wstep_t) {
    at->cmove(spin);
    int nspin = at->c.spin(spin);
    if(at->c.mirror(spin)) mirrored = !mirrored;
    at = at->move(spin);
    spin = nspin;
    return (*this);
    }
  walker<T>& operator += (rev_t) {
    int d = at->degree();
    if(WDIM == 3 && binarytiling) {
      if(spin < 4) spin = 8;
      else if(spin >= 8) spin = 0;
      else spin ^= 1;
      }
    return (*this) += d/2 + ((d&1)?hrand(2):0);
    }
  walker<T>& operator += (revstep_t) {
    (*this) += rev; return (*this) += wstep; 
    }
  bool operator != (const walker<T>& x) const {
    return at != x.at || spin != x.spin || mirrored != x.mirrored;
    }
  bool operator == (const walker<T>& x) const {
    return at == x.at && spin == x.spin && mirrored == x.mirrored;
    }

  bool operator < (const walker<T>& cw2) const {
    return tie(at, spin, mirrored) < tie(cw2.at, cw2.spin, cw2.mirrored);
    }

  walker<T>& operator ++ (int) { return (*this) += 1; }
  walker<T>& operator -- (int) { return (*this) -= 1; }
  template<class U> walker operator + (U t) const { walker<T> w = *this; w += t; return w; }
  template<class U> walker operator - (U t) const { walker<T> w = *this; w += (-t); return w; }
  T*& peek() { return at->move(spin); }
  T* cpeek() { return at->cmove(spin); }
  bool creates() { return !peek(); }
  walker<T> mirrorat(int d) { return walker<T> (at, at->c.fix(d+d - spin), !mirrored); }
  };

struct cell;

// automaton state
enum hstate { hsOrigin, hsA, hsB, hsError, hsA0, hsA1, hsB0, hsB1, hsC };

struct cell *createMov(struct cell *c, int d);
struct heptagon *createStep(struct heptagon *c, int d);

// in bitruncated/irregular/Goldberg geometries, heptagons form the 
// underlying regular tiling (not necessarily heptagonal); in pure
// geometries, they correspond 1-1 to tiles; in 'masterless' geometries
// heptagons are unused

struct heptagon {
  // automaton state
  hstate s : 6;
  unsigned int dm4: 2;
  // distance from the origin
  short distance;
  // note: all the 'val' values may have different meaning in other geometries
  // emerald/wineyard generator
  short emeraldval;
  // fifty generator
  short fiftyval;
  // zebra generator (1B actually)
  short zebraval;
  // field id
  int fieldval : 24;
  // degree
  unsigned char type : 8;
  // data for fractal landscapes
  short rval0, rval1;
  // for alternate structures, cdata contains the pointer to the original
  // for the main map, it contains the fractal landscape data
  struct cdata *cdata;
  // central cell of this underlying tiling
  cell *c7;
  // associated generator of alternate structure, for Camelot and horocycles
  heptagon *alt;
  // connection table
  connection_table<heptagon> c;
  heptagon*& move(int d) { return c.move(d); }
  heptagon*& modmove(int d) { return c.modmove(d); }
  // functions
  heptagon () { heptacount++; }
  ~heptagon () { heptacount--; }
  heptagon *cmove(int d) { return createStep(this, d); }
  heptagon *cmodmove(int d) { return createStep(this, c.fix(d)); }
  inline int degree() { return type; }

  // prevent accidental copying
  heptagon(const heptagon&) = delete;
  heptagon& operator=(const heptagon&) = delete;
  // do not add any fields after connection_table (see tailored_alloc)
  };

struct cell : gcell {
  char type; int degree() { return type; }

  // wall parameter, used for remaining power of Bonfires and Thumpers
  char wparam;

  // used by celllister
  int listindex;

  // heptagon who owns us; for 'masterless' tilings it contains coordinates instead
  heptagon *master;

  connection_table<cell> c;
  cell*& move(int d) { return c.move(d); }
  cell*& modmove(int d) { return c.modmove(d); }
  cell* cmove(int d) { return createMov(this, d); }
  cell* cmodmove(int d) { return createMov(this, c.fix(d)); }
  cell() {}

  // prevent accidental copying
  cell(const cell&) = delete;
  heptagon& operator=(const cell&) = delete;
  // do not add any fields after connection_table (see tailored_alloc)
  };

/*
namespace arcm { int degree(heptagon *h); int valence(); }

int heptagon::degree() { 
  #if CAP_ARCM
  if(archimedean) return arcm::degree(this); else 
  #endif
  return S7; 
  } */

typedef walker<heptagon> heptspin;
typedef walker<cell> cellwalker;

static const struct cth_t { cth_t() {}} cth;
inline heptspin operator+ (cellwalker cw, cth_t) { return heptspin(cw.at->master, cw.spin * DUALMUL, cw.mirrored); }
inline cellwalker operator+ (heptspin hs, cth_t) { return cellwalker(hs.at->c7, hs.spin / DUALMUL, hs.mirrored); }

#define BUGCOLORS 3

// land completion for shared unlocking
#define U5 (inv::on ? 10 : 5)
// land completion for advanced unlocking
#define U10 (inv::on ? 25 : 10)

// land completion
#define R10 (inv::on ? 50 : 10)
// intermediate lands
#define R30 (inv::on ? 100 : 30)
// advanced lands
#define R60 (inv::on ? 200 : 60)
// advanced lands II
#define R90 (inv::on ? 300 : 90)
// Crossroads IV
#define R200 (inv::on ? 800 : 200)
// Crossroads V
#define R300 (inv::on ? 1200 : 300)
// kill types for Dragon Chasms
#define R20 (inv::on ? 30 : 20)
// kill count for Graveyard/Hive
#define R100 (inv::on ? 500 : 100)

string XLAT(string x);    // translate the sentence x
string XLATN(string x);   // translate the sentence x
string cts(char c);       // character to string
string its(int i);        // int to string
string itsh8(int i);      // int to string (8 hex digits)

// a random integer from [0..i), generated by the game's main generator
// we want the same world to be generated if the seed is the same. For this purpose,
// hrand should be used for all the game-related generation, and nowhere else
int hrand(int i);

// size casted to int, to prevent warnings and actual errors caused by the unsignedness of x.size()
template<class T> int isize(const T& x) {return x.size(); }

// initialize the achievement system.
void achievement_init();

// close the achievement system.
void achievement_close();

// get the user name
string myname();

// gain the achievement with the given name.
// flags: 'e' - for Euclidean, 's' - for Shmup, '7' - for heptagonal
// Only awarded if special modes are matched exactly.
void achievement_gain(const char*, char flags = 0);

// gain the achievement for collecting a number of 'it'.
void achievement_collection(eItem it, int prevgold, int newgold);

// this is used for 'counting' achievements, such as kill 10
// monsters at the same time.
void achievement_count(const string& s, int current, int prev);

// scores for special challenges
void achievement_score(int cat, int score);

// gain the victory achievements. Set 'hyper' to true for
// the Hyperstone victory, and false for the Orb of Yendor victory.
void achievement_victory(bool hyper);

// gain the final achievements. Called with really=false whenever the user
// looks at their score, and really=true when the game really ends.
void achievement_final(bool really);

// display the last achievement gained.
void achievement_display();

// call the achievement callbacks
void achievement_pump();

// achievements received this game
extern vector<string> achievementsReceived;

// game forward declarations

bool mirrorkill(cell *c);
bool isNeighbor(cell *c1, cell *c2);
void checkTide(cell *c);
namespace anticheat { extern bool tampered; }
int numplayers();
void removeIvy(cell *c);
bool cellEdgeUnstable(cell *c, flagtype flags = 0);
int coastvalEdge(cell *c);
#define HRANDMAX 0x7FFFFFFF
int hrandpos(); // 0 to HRANDMAX

namespace rg {
  // possible parameters e.g. for restart_game and wrongmode
  static const char nothing = 0;
  static const char peace = 'P';
  static const char inv = 'i';
  static const char chaos = 'C';
  static const char tactic = 't';
  static const char tour = 'T';
  static const char yendor = 'y';
  static const char shmup = 's';
  static const char randpattern = 'r';
  static const char princess = 'p';
  static const char daily = 'd';
  static const char daily_off = 'D';
  static const char racing = 'R';
  static const char dualmode = 'U';
  
  // wrongmode only -- marks 'global' achievements not related to the current mode
  static const char global = 'x'; 
  // wrongmode only -- change vid.scfg.players then restart_game(rg::nothing) instead
  static const char multi = 'm';
  // wrongmode only -- mark achievements for special geometries/variations
  static const char special_geometry = 'g';
  }

int landMultiplier(eLand l);
eItem treasureType(eLand l);
void buildBarrier(cell *c, int d, eLand l = laNone);
void extendBarrier(cell *c);
bool buildBarrier4(cell *c, int d, int mode, eLand ll, eLand lr);
bool buildBarrier6(cellwalker cw, int type);
bool makeEmpty(cell *c);
bool isCrossroads(eLand l);
enum orbAction { roMouse, roKeyboard, roCheck, roMouseForce, roMultiCheck, roMultiGo };
void moveItem (cell *from, cell *to, bool activateYendor);
bool uncoverMines(cell *c, int lev, int dist, bool just_checking);
void killMonster(cell *c, eMonster who_killed, flagtype flags = 0);
void toggleGates(cell *ct, eWall type, int rad);
bool destroyHalfvine(cell *c, eWall newwall = waNone, int tval = 6);
void buildCrossroads2(cell *c);
bool isHaunted(eLand l);
heptagon *createAlternateMap(cell *c, int rad, hstate firststate, int special=0);
void setdist(cell *c, int d, cell *from);
void checkOnYendorPath();
void killThePlayerAt(eMonster m, cell *c, flagtype flags);
bool notDippingFor(eItem i);
bool collectItem(cell *c2, bool telekinesis = false);
void castLightningBolt(cellwalker lig);
bool movepcto(int d, int subdir = 1, bool checkonly = false);
void stabbingAttack(cell *mf, cell *mt, eMonster who, int bonuskill = 0);
bool earthMove(cell *from, int dir);
void messageKill(eMonster killer, eMonster victim);
void moveMonster(cell *ct, cell *cf, int direction_hint);
int palaceHP();
void placeLocalOrbs(cell *c);
int elementalKills();
bool isMultitile(eMonster m);
void checkFreedom(cell *cf);
int rosedist(cell *c);
bool canPushStatueOn(cell *c);
void auto_teleport_charges();

namespace hive { void createBugArmy(cell *c); }
namespace whirlpool { void generate(cell *wto); }
namespace whirlwind { void generate(cell *wto); }
namespace mirror { 
  static const int SPINSINGLE = 1;
  static const int SPINMULTI = 2;
  static const int GO = 4;
  static const int ATTACK = 8;
    
  void act(int dir, int flags);
  }

int neighborId(cell *c1, cell *c2);

struct movedir { 
  int d; 
  // non-negative numbers denote 'rotate +d steps and act in this direction
  // negative numbers have the following meanings (warning: not used consistently):
  #define MD_WAIT (-1)
  #define MD_DROP (-2)
  #define MD_UNDECIDED (-3)
  #define MD_USE_ORB (-4)
  int subdir; // for normal movement (0+): turn left or right
  cell *tgt;  // for MD_USE_ORB: target cell
  };

inline bool movepcto(const movedir& md) { return movepcto(md.d, md.subdir); }

void activateActiv(cell *c, bool msg);

// shmup

string csname(charstyle& cs);
void initcs(charstyle& cs);

extern bool flipplayer;

namespace multi {

  extern bool alwaysuse;
  void recall();
  extern cell *origpos[MAXPLAYER], *origtarget[MAXPLAYER];
  extern int players;
  extern cellwalker player[MAXPLAYER];
  extern bool flipped[MAXPLAYER];
  cell *mplayerpos(int i);
  
  extern vector<int> revive_queue; // queue for revival

  extern movedir whereto[MAXPLAYER]; // player's target cell

  extern int cpid; // player id -- an extra parameter for player-related functions
  extern int cpid_edit; // cpid currently being edited

  // treasure collection, kill, and death statistics
  extern int treasures[MAXPLAYER], kills[MAXPLAYER], deaths[MAXPLAYER];

  void saveConfig(FILE *f);
  void loadConfig(FILE *f);
  void initConfig();
   
  extern charstyle scs[MAXPLAYER];

  bool playerActive(int p);
  int activePlayers();
  cell *multiPlayerTarget(int i);
  void checklastmove();
  void leaveGame(int i);
  void configure();

  void showConfigureMultiplayer();
  }

template<class T> class hookset : public map<int, function<T>> {};
typedef hookset<void()> *purehookset;

namespace shmup {
  using namespace multi;
  void recall();
  extern bool on;
  extern bool delayed_safety;
  extern int curtime;
  void clearMonsters();
  void clearMemory();
  void init();
  void teleported();
  
  struct monster {
    eMonster type;
    cell *base;
    cell *torigin; 
      // tortoises: origin
      // butterflies: last position
    transmatrix at;
    transmatrix pat;
    eMonster stk;
    bool dead;
    bool notpushed;
    bool inBoat;
    bool no_targetting;
    monster *parent; // who shot this missile
    eMonster parenttype; // type of the parent
    int nextshot;    // when will it be able to shot (players/flailers)
    int pid;         // player ID
    int hitpoints;   // hitpoints; or time elapsed in Asteroids
    int stunoff;
    int blowoff;
    double swordangle; // sword angle wrt at
    double vel;        // velocity, for flail balls
    double footphase;
    bool isVirtual;  // off the screen: gmatrix is unknown, and pat equals at
    hyperpoint inertia;// for frictionless lands
    
    monster() { 
      dead = false; inBoat = false; parent = NULL; nextshot = 0; 
      stunoff = 0; blowoff = 0; footphase = 0; no_targetting = false;
      swordangle = 0; inertia = Hypc;
      }
  
    void store();
      
    void findpat();
  
    cell *findbase(const transmatrix& T);
  
    void rebasePat(const transmatrix& new_pat);
  
    };

  extern struct monster* mousetarget;
  extern monster *pc[MAXPLAYER];
  extern eItem targetRangedOrb(orbAction a);
  void degradeDemons();
  void killThePlayer(eMonster m);
  void killThePlayer(eMonster m, int i);
  void visibleFor(int t);
  bool verifyTeleport();
  bool dragonbreath(cell *dragon);

  void shmupDrownPlayers(cell *c);

  cell *playerpos(int i);

  bool playerInBoat(int i);
  void destroyBoats(cell *c);
  bool boatAt(cell *c);
  
  void fixStorage();
  void addShmupHelp(string& out);
  void activateArrow(cell *c);
  
  void pushmonsters();
  void popmonsters();

  extern hookset<bool(int)> *hooks_turn;
  extern hookset<bool(const transmatrix&, cell*, shmup::monster*)> *hooks_draw;
  extern hookset<bool(shmup::monster*)> *hooks_kill;
  extern hookset<bool(shmup::monster*, string&)> *hooks_describe;

  void turn(int);
  extern monster *lmousetarget;
  void virtualRebase(shmup::monster *m, bool tohex);

  extern monster *pc[MAXPLAYER];
  int reflect(cell*& c2, cell*& mbase, transmatrix& nat);

  void switch_shmup();
  }

transmatrix& ggmatrix(cell *c);
transmatrix master_relative(cell *c, bool get_inverse = false);
void virtualRebase(cell*& base, transmatrix& at, bool tohex);
void virtualRebase(cell*& base, hyperpoint& h, bool tohex);
transmatrix calc_relative_matrix(cell *c, cell *c1, const hyperpoint& point_hint);
transmatrix calc_relative_matrix(cell *c, cell *c1, int direction_hint);

static const int NOHINT = -1;
// graph

void showMissionScreen();

void restartGraph();
void resetmusic();

void drawFlash(cell* c);
void drawBigFlash(cell* c);
void drawParticleSpeed(cell *c, color_t col, int speed);
void drawParticle(cell *c, color_t col, int maxspeed = 100);
void drawParticles(cell *c, color_t col, int qty, int maxspeed = 100);
void drawFireParticles(cell *c, int qty, int maxspeed = 100);

int firecolor(int phase = 0, int mul = 1);

void drawLightning();
void drawSafety();
void restartGraph();
void movepckeydir(int);

void centerpc(ld aspd);

typedef color_t color_t;

void displayButton(int x, int y, const string& name, int key, int align, int rad = 0);
void displayColorButton(int x, int y, const string& name, int key, int align, int rad, color_t color, color_t color2 = 0);
inline string ONOFF(bool b) { return XLAT(b ? "ON" : "OFF"); }
color_t darkened(color_t c);
extern int getcstat;
bool displaychr(int x, int y, int shift, int size, char chr, color_t col);
bool displayfr(int x, int y, int b, int size, const string &s, color_t color, int align);
bool displayfrSP(int x, int y, int sh, int b, int size, const string &s, color_t color, int align, int p);

bool outofmap(hyperpoint h);
void applymodel(hyperpoint H, hyperpoint& Hscr);
void drawCircle(int x, int y, int size, color_t color, color_t fillcolor = 0);
void queuecircleat(cell *c, double rad, color_t col);
void fixcolor(int& col);
ld displayspin(cell *c, int d);
bool non_spatial_model();
hyperpoint gethyper(ld x, ld y);
void resetview(); 
void drawthemap();
void drawfullmap();
void draw_boundary(int w);
void draw_model_elements();
extern function<void()> wrap_drawfullmap;
bool displaystr(int x, int y, int shift, int size, const char *str, color_t color, int align);
bool displaystr(int x, int y, int shift, int size, const string& str, color_t color, int align);

extern int darken, inmirrorcount;
void calcparam();

#if CAP_SDL
color_t& qpixel(SDL_Surface *surf, int x, int y);
void setvideomode();
#endif

#if CAP_CONFIG
void saveConfig();
#endif

extern hyperpoint mouseh;

extern hyperpoint ccenter;
extern ld crad;

extern bool mousepressed, anyshiftclick, numlock_on;
extern string help;

typedef function<void()> reaction_t;
typedef function<bool()> bool_reaction_t;

extern reaction_t help_delegate;  

#define HELPFUN(x) (help_delegate = x, "HELPFUN")

struct radarpoint {
  hyperpoint h;
  char glyph;
  color_t color;
  color_t line;
  };

struct radarline {
  hyperpoint h1, h2;
  color_t line;
  };

extern vector<radarpoint> radarpoints;
extern vector<radarline> radarlines;

extern vector< function<void()> > screens;

template<class T> void pushScreen(const T& x) { screens.push_back(x); } 
inline void popScreen() { if(isize(screens)>1) screens.pop_back(); }
inline void popScreenAll() { while(isize(screens)>1) popScreen(); }

struct display_data {
  transmatrix view_matrix; // current rotation, relative to viewctr
  transmatrix player_matrix; // player-relative view
  heptspin view_center;
  cellwalker precise_center;
  unordered_map<cell*, transmatrix> cellmatrices, old_cellmatrices;
  ld xmin, ymin, xmax, ymax; // relative
  ld xtop, ytop, xsize, ysize; // in pixels
  display_data() { xmin = ymin = 0; xmax = ymax = 1; }

  // paramaters calculated from the above
  int xcenter, ycenter;
  ld radius;
  int scrsize;  
  bool sidescreen;

  ld tanfov;

  GLfloat scrdist, scrdist_text;

  ld eyewidth();
  bool stereo_active();
  bool in_anaglyph();

  void set_viewport(int ed);
  void set_projection(int ed);
  void set_mask(int ed);

  void set_all(int ed);
  };

extern display_data default_display;
extern display_data *current_display;

#define View (current_display->view_matrix)
#define cwtV (current_display->player_matrix)
#define viewctr (current_display->view_center)
#define centerover (current_display->precise_center)
#define gmatrix (current_display->cellmatrices)
#define gmatrix0 (current_display->old_cellmatrices)

extern cell *mouseover, *mouseover2, *lmouseover;
extern string mouseovers;

extern struct SDL_Surface *s;

typedef function<int(cell*)> cellfunction;

namespace patterns {
  extern char whichShape;
  extern int canvasback;

  extern cpatterntype cgroup, old_cgroup;
  
  enum ePattern : char {
    PAT_NONE = 0,
    PAT_TYPES = 'T',
    PAT_ZEBRA = 'z',
    PAT_EMERALD = 'f',
    PAT_PALACE = 'p',
    PAT_FIELD = 'F',
    PAT_DOWN = 'H',
    PAT_COLORING = 'C',
    PAT_SIBLING = 'S',
    PAT_CHESS = 'c',
    PAT_SINGLETYPE = 't'
    };

  extern ePattern whichPattern;

  extern int subpattern_flags;
  
  static const int SPF_ROT = 1;
  static const int SPF_SYM01 = 2;
  static const int SPF_SYM02 = 4;
  static const int SPF_SYM03 = 8;
  static const int SPF_CHANGEROT = 16;
  static const int SPF_TWOCOL = 32;
  static const int SPF_EXTRASYM = 64;
  static const int SPF_ALTERNATE = 128;
  static const int SPF_FOOTBALL = 256;
  static const int SPF_FULLSYM = 512;
  static const int SPF_DOCKS = 1024;
  static const int SPF_NO_SUBCODES = 2048;

  static const int SPF_SYM0123 = SPF_SYM01 | SPF_SYM02 | SPF_SYM03;
  
  extern char whichCanvas;

  extern bool displaycodes;

  int generateCanvas(cell *c);

  struct patterninfo {
    int id;
    int dir;
    bool reflect;
    int symmetries;
    };
    
  patterninfo getpatterninfo(cell *c, ePattern pat, int sub);

  inline patterninfo getpatterninfo0(cell *c) {
    return getpatterninfo(c, whichPattern, subpattern_flags);
    }

  bool compatible(cpatterntype oldp, cpatterntype newp);
  extern void pushChangeablePatterns();
  void computeCgroup();
  void showPattern();
  void val38(cell *c, patterninfo &si, int sub, int pat);

  int downdir(cell *c, const cellfunction& cf = coastvalEdge);
  }

namespace mapeditor { 
#if CAP_EDIT
  extern map<int, cell*> modelcell;
#endif

  extern bool drawplayer; 
  void applyModelcell(cell *c);
  
  extern cell *drawcell;
  void initdraw(cell *c); 
  #if CAP_EDIT
  void showMapEditor();
  void showDrawEditor();
  #endif
  
  enum eShapegroup { sgPlayer, sgMonster, sgItem, sgFloor, sgWall };
  static const int USERSHAPEGROUPS = 5;

  bool haveUserShape(eShapegroup group, int id);  
  void draw_texture_ghosts(cell *c, const transmatrix& V);  
  void map_settings();
  }

struct renderbuffer;

namespace rug {
  extern bool rugged;
  extern bool spatial_rug;
  extern bool computed;
  extern bool renderonce;
  extern bool rendernogl;
  extern int  texturesize;
  extern ld   model_distance;
  extern ld   modelscale;
  extern transmatrix currentrot;
#if CAP_RUG
  void show();
  // initialize both the texture and the model
  void init();
  // initialize only the texture (assume model already initialized)
  void reopen();
  // close the rug mode, remove the texture
  void close();
  // clear the model
  void clear_model();
  void actDraw();
  void select();
  void buildVertexInfo(cell *c, transmatrix V);
  void drawRugScene();
  void prepareTexture();
  void drawRugScene();
  void push_all_points(int coord, ld val);
  void apply_rotation(const transmatrix& t);
  string makehelp();

  struct edge {
    struct rugpoint *target;
    ld len;
    };
  
  struct dexp_data {
    hyperpoint params;
    hyperpoint cont;
    ld remaining_distance;
    };

  struct rugpoint {
    double x1, y1;
    bool valid;
    bool inqueue;
    double dist;
    hyperpoint h;    // point in the represented space
    hyperpoint flat; // point in the native space, in azeq
    hyperpoint precompute;
    vector<edge> edges;
    vector<edge> anticusp_edges;
    // Find-Union algorithm
    rugpoint *glue;
    rugpoint *getglue() {
      return glue ? (glue = glue->getglue()) : this;
      }
    hyperpoint& glueflat() {
      return glue->flat;
      }
    rugpoint() { glue = NULL; }
    void glueto(rugpoint *x) {
      x = x->getglue();
      auto y = getglue();
      if(x != y) y->glue = x;
      }
    int dexp_id;
    dexp_data surface_point;
    };

  struct triangle {
    rugpoint *m[3];
    triangle(rugpoint *m1, rugpoint *m2, rugpoint *m3) {
      m[0] = m1; m[1] = m2; m[2] = m3;
      }
    };

  extern vector<rugpoint*> points;
  extern vector<triangle> triangles;

  extern int qvalid;
  extern bool subdivide_further();
  extern void subdivide();
  extern bool good_shape;
  extern int vertex_limit;
  extern void enqueue(rugpoint *p);
  void sort_rug_points();
  extern bool rug_perspective;
  
  bool handlekeys(int sym, int uni);

  void addTriangle(rugpoint *t1, rugpoint *t2, rugpoint *t3, ld len = 1);
  rugpoint *addRugpoint(hyperpoint h, double dist);
  void buildRug();

  bool in_crystal();
  void physics();

extern renderbuffer *glbuf; 
extern eGeometry gwhere;
extern bool no_fog;
extern ld lowrug, hirug, ruggospeed;
extern GLuint alternate_texture;
extern bool invert_depth;
extern ld ruggo;
#endif
  }

#define HASLINEVIEW

namespace conformal {
  extern bool on;
  extern vector<pair<cell*, eMonster> > killhistory;
  extern vector<pair<cell*, eItem> > findhistory;  
  extern vector<cell*> movehistory;
  extern set<cell*> inmovehistory, inkillhistory, infindhistory;
  extern bool includeHistory;
  extern bool use_atan;
  extern ld rotation;
  extern ld rotation_xz, rotation_xy2;
  transmatrix rotmatrix();
  extern int do_rotate;
  extern ld model_orientation, model_orientation_yz;
  extern ld halfplane_scale;
  extern ld ocos, osin, ocos_yz, osin_yz;
  extern ld cos_ball, sin_ball;
  extern bool model_straight, model_straight_yz;
  extern ld model_transition;
  extern ld top_z;
  extern ld spiral_angle, spiral_x, spiral_y;
  extern ld spiral_cone;
  extern ld clip_min, clip_max;
  
  // screen coordinates to logical coordinates: apply_orientation(x,y)
  // logical coordinates back to screen coordinates: apply_orientation(y,x)
  template<class A>
  void apply_orientation(A& x, A& y) { if(!model_straight) tie(x,y) = make_pair(x*ocos + y*osin, y*ocos - x*osin); }
  template<class A>
  void apply_orientation_yz(A& x, A& y) { if(!model_straight_yz) tie(x,y) = make_pair(x*ocos_yz + y*osin_yz, y*ocos_yz - x*osin_yz); }
  template<class A>
  void apply_ball(A& x, A& y) { tie(x,y) = make_pair(x*cos_ball + y*sin_ball, y*cos_ball - x*sin_ball); }
  
  void configure();
  
  extern bool autoband;
  extern bool autobandhistory;
  extern bool dospiral;
  extern ld lvspeed;
  extern int bandsegment;
  extern int bandhalf;  
  extern ld extra_line_steps;
  
  void create(cell *start, cell *target);
  void create_playerpath();
  void create_recenter_to_view();
  void clear();
  void model_menu();
  void history_menu();
  string get_model_name(eModel);
  void apply();
  void movetophase();
  void renderAutoband();

  extern vector<shmup::monster*> v;
  extern double phase;
  void applyIB();

  void progress_screen();
  void progress(string str);
  bool model_has_orientation();

  extern string formula;
  extern eModel basic_model;
  }
  
namespace polygonal {
  static const int MSI = 120;
  extern int SI;
  extern ld STAR;
  extern int deg;
  extern ld coefr[MSI], coefi[MSI];
  extern int maxcoef, coefid;
  void solve();
  pair<ld, ld> compute(ld x, ld y);
  }

void selectEyeGL(int ed);
void selectEyeMask(int ed);
extern int ticks;

extern color_t backcolor, bordcolor, forecolor;

void setGLProjection(color_t col = backcolor);

// passable flags

#define P_MONSTER    Flag(0)  // can move through monsters
#define P_MIRROR     Flag(1)  // can move through mirrors
#define P_REVDIR     Flag(2)  // reverse direction movement
#define P_WIND       Flag(3)  // can move against the wind
#define P_GRAVITY    Flag(4)  // can move against the gravity
#define P_ISPLAYER   Flag(5)  // player-only moves (like the Round Table jump)
#define P_ONPLAYER   Flag(6)  // always can step on the player
#define P_FLYING     Flag(7)  // is flying
#define P_BULLET     Flag(8)  // bullet can fly through more things
#define P_MIRRORWALL Flag(9)  // mirror images go through mirror walls
#define P_JUMP1      Flag(10) // first part of a jump
#define P_JUMP2      Flag(11) // second part of a jump
#define P_TELE       Flag(12) // teleport onto
#define P_BLOW       Flag(13) // Orb of Air -- blow, or push
#define P_AETHER     Flag(14) // aethereal
#define P_FISH       Flag(15) // swimming
#define P_WINTER     Flag(16) // fire resistant
#define P_USEBOAT    Flag(17) // can use boat
#define P_NOAETHER   Flag(18) // disable AETHER
#define P_FRIENDSWAP Flag(19) // can move on friends (to swap with tem)
#define P_ISFRIEND   Flag(20) // is a friend (can use Empathy + Winter/Aether/Fish combo)
#define P_LEADER     Flag(21) // can push statues and use boats
#define P_MARKWATER  Flag(22) // mark Orb of Water as used
#define P_EARTHELEM  Flag(23) // Earth Elemental
#define P_WATERELEM  Flag(24) // Water Elemental
#define P_IGNORE37   Flag(25) // ignore the triheptagonal board
#define P_CHAIN      Flag(26) // for chaining moves with boats
#define P_DEADLY     Flag(27) // suicide moves allowed
#define P_ROSE       Flag(28) // rose smell
#define P_CLIMBUP    Flag(29) // allow climbing up
#define P_CLIMBDOWN  Flag(30) // allow climbing down
#define P_REPTILE    Flag(31) // is reptile
#define P_VOID       Flag(32) // void beast
#define P_PHASE      Flag(33) // phasing movement
#define P_PULLMAGNET Flag(34) // pull the other part of the magnet

bool passable(cell *w, cell *from, flagtype flags);

bool anti_alchemy(cell *w, cell *from);
bool isElemental(eLand l);
int coastval(cell *c, eLand base);
int getHauntedDepth(cell *c);
eLand randomElementalLand();
bool notDippingForExtra(eItem i, eItem x);
void placePrizeOrb(cell *c);
void wandering();
bool isSealand(eLand l);
int newRoundTableRadius();
bool grailWasFound(cell *c);
extern bool buggyGeneration;
int buildIvy(cell *c, int children, int minleaf);
int celldistAltRelative(cell *c);
int roundTableRadius(cell *c);
eLand pickLandRPM(eLand old);
bool bearsCamelot(eLand l);

extern bool safety;

#define SAGEMELT .1
#define TEMPLE_EACH (among(geometry, gHoroRec, gHoroHex) ? 3 : (WDIM == 3 && binarytiling) ? 2 : geometry == gSpace435 ? 4 : (WDIM == 3 && hyperbolic) ? 3 : 6)
#define PT(x, y) ((tactic::on || quotient == 2 || daily::on) ? (y) : inv::on ? min(2*(y),x) : (x))
#define ROCKSNAKELENGTH 50
#define WORMLENGTH 15
#define PUREHARDCORE_LEVEL 10
#define PRIZEMUL 7

#define INF  9999
#define INFD 60
#define PINFD 125
#ifndef BARLEV
#define BARLEV ((ISANDROID||ISIOS||ISFAKEMOBILE||getDistLimit()<7)?(getDistLimit()<4?8:9):10)
#endif
#define BUGLEV 15
// #define BARLEV 9

bool isKillable(cell *c);
bool isKillableSomehow(cell *c);

bool isAlchAny(eWall w);
bool isAlchAny(cell *c);

#define YDIST 101
#define MODECODES (1ll<<61)
  
extern cellwalker cwt; // player character position

extern array<int, ittypes> items;
extern array<int, motypes> kills;

extern int explore[10], exploreland[10][landtypes], landcount[landtypes];

typedef flagtype modecode_t;
extern map<modecode_t, array<int, ittypes> > hiitems;

extern eLand firstland, specialland;
bool pseudohept(cell *c);
bool pureHardcore();
extern int cheater;
int airdist(cell *c);
bool eq(short a, short b);
extern vector<cell*> dcal;   // queue for cpdist
bool isPlayerOn(cell *c);
bool isFriendly(eMonster m);
bool isFriendly(cell *c);
bool isChild(cell *w, cell *killed); // is w killed if killed is killed?

static const int NO_TREASURE = 1;
static const int NO_YENDOR = 2;
static const int NO_GRAIL = 4;
static const int NO_LOVE = 8;

int gold(int no = 0);
int tkills();

bool markOrb(eItem it); // mark the orb as 'used', return true if exists
bool markEmpathy(eItem it); // mark both the given orb and Empathy as 'used', return true if exists
bool markEmpathy2(eItem it); // as above, but next turn

bool isMimic(eMonster m);
bool isMimic(cell *c);

void fallMonster(cell *c, flagtype flags = 0); // kill monster due to terrain

bool attackMonster(cell *c, flagtype flags, eMonster killer);

bool isWorm(eMonster m);
bool isWorm(cell *c);
void empathyMove(cell *c, cell *cto, int dir);
bool isIvy(eMonster m);
bool isIvy(cell *c);

#define GUNRANGE 3

// 0 = basic treasure, 1 = other item, 2 = power orb, 3 = not an item
#define IC_TREASURE 0
#define IC_OTHER 1
#define IC_ORB 2
#define IC_NAI 3

bool playerInPower();
void activateFlash();
void activateLightning();
bool markOrb(eItem it);
bool markOrb2(eItem it);
void drainOrb(eItem it, int target = 0);
void useupOrb(eItem it, int qty);

void initgame();
bool haveRangedTarget();
eItem targetRangedOrb(cell *c, orbAction a);
void reduceOrbPowers();
int realstuntime(cell *c);

extern bool invismove, invisfish;
bool attackingForbidden(cell *c, cell *c2);
void killOrStunMonster(cell *c2, eMonster who_killed);

void useup(cell *c); // useup thumpers/bonfires
cell *playerpos(int i);

bool makeflame(cell *c, int timeout, bool checkonly);
void bfs();
bool isPlayerInBoatOn(cell *c);
bool isPlayerInBoatOn(cell *c, int i);
void destroyBoats(cell *c, cell *cf, bool strandedToo);
extern bool showoff;
extern int lastexplore;
extern int truelotus;
extern int asteroids_generated, asteroid_orbs_generated;
extern eLand lastland;
extern time_t timerstart;
extern bool timerstopped;
bool againstRose(cell *cfrom, cell *cto);
bool withRose(cell *cfrom, cell *cto);

extern ld bounded_mine_percentage;
extern int bounded_mine_quantity, bounded_mine_max;
void generate_mines();

// loops

#define fakecellloop(ct) for(cell *ct = (cell*)1; ct; ct=NULL)

#define forCellIdAll(ct, i, cf) fakecellloop(ct) for(int i=0; i<(cf)->type && (ct=(cf)->move(i),true); i++) 
#define forCellIdCM(ct, i, cf)  fakecellloop(ct) for(int i=0; i<(cf)->type && (ct=createMov((cf),i),true); i++) 
#define forCellIdEx(ct, i, cf)  forCellIdAll(ct,i,cf) if(ct)

#define forCellEx(ct, cf) forCellIdEx(ct,forCellEx ## __LINE__,cf)
#define forCellCM(ct, cf) forCellIdCM(ct,forCellCM ## __LINE__,cf)
#define forCellAll(ct, cf) forCellIdCM(ct,forCellAll ## __LINE__,cf)

// canAttack/moveval flags

#define AF_NORMAL            0          // nothing special about this attack

#define AF_TOUGH             Flag(0)    // tough attacks: Hyperbugs
#define AF_MAGIC             Flag(1)    // magical attacks: Flash
#define AF_STAB              Flag(2)    // stabbing attacks (usually ignored except Hedgehogs)
#define AF_LANCE             Flag(3)    // lance attacks (used by Lancers)
#define AF_ONLY_ENEMY        Flag(4)    // only say YES if it is an enemy
#define AF_ONLY_FRIEND       Flag(5)    // only say YES if it is a friend
#define AF_ONLY_FBUG         Flag(6)    // only say YES if it is a bug_or friend
#define AF_BACK              Flag(7)    // backward attacks (ignored except Viziers and Flailers)
#define AF_APPROACH          Flag(8)    // approach attacks (ignored except Lancers)
#define AF_IGNORE_UNARMED    Flag(9)    // ignore the UNARMED flag
#define AF_NOSHIELD          Flag(10)   // ignore the shielded status
#define AF_GETPLAYER         Flag(11)   // check for player (replace m2 with moPlayer for player position)
#define AF_GUN               Flag(12)   // revolver attack
#define AF_FAST              Flag(13)   // fast attack
#define AF_EAT               Flag(17)   // eating attacks from Worm-likes

#define MF_NOATTACKS         Flag(14)   // don't do any attacks
#define MF_PATHDIST          Flag(15)   // consider pathdist for moveval
#define MF_ONLYEAGLE         Flag(16)   // do this only for Eagles
#define MF_MOUNT             Flag(18)   // don't do 
#define MF_NOFRIEND          Flag(19)   // don't do it for friends

#define AF_SWORD             Flag(20)   // big sword
#define AF_SWORD_INTO        Flag(21)   // moving into big sword
#define AF_MSG               Flag(22)   // produce a message
#define AF_MUSTKILL          Flag(23)   // when TRUE, stunning attacks are not accepted by canAttack
#define AF_NEXTTURN          Flag(24)   // next turn -- don't count shield at power 1
#define AF_FALL              Flag(25)   // death by falling
#define MF_STUNNED           Flag(26)   // edgeunstable: ignore ladders (as stunned monsters do)
#define MF_IVY               Flag(27)   // edgeunstable: ignore ivy (ivy cannot climb ivy)
#define AF_HORNS             Flag(28)   // spear attack (always has APPROACH too)
#define AF_BULL              Flag(29)   // bull attack
#define AF_SIDE              Flag(30)   // side attack
#define AF_CRUSH             Flag(31)   // Crusher's delayed attack

bool canAttack(cell *c1, eMonster m1, cell *c2, eMonster m2, flagtype flags);

extern int chaosmode;
extern bool chaosUnlocked;
extern bool chaosAchieved;
bool isTechnicalLand(eLand l);
int getGhostcount();

void raiseBuggyGeneration(cell *c, const char *s);
void verifyMutantAround(cell *c);

#if CAP_SDL

#if CAP_PNG
#include "savepng.h"
#define IMAGEEXT ".png"
void IMAGESAVE(SDL_Surface *s, const char *fname);
#else
#define IMAGEEXT ".bmp"
#define IMAGESAVE SDL_SaveBMP
#endif

#endif

void drawscreen();

void buildAirmap();

// currently works for worms only
bool sameMonster(cell *c1, cell *c2);
cell *wormhead(cell *c);
eMonster getMount(int player_id);
eMonster haveMount();

bool isDragon(eMonster m);

// for some reason I need this to compile under OSX

#if ISMAC
extern "C" { void *_Unwind_Resume = 0; }
#endif

extern bool autocheat;
extern bool inHighQual;

void mountmove(cell *c, int spin, bool fp);
void mountmove(cell *c, int spin, bool fp, cell *ppos);
void mountswap(cell *c1, int spin1, bool fp1, cell *c2, int spin2, bool fp2);

template<class T> struct dynamicval {
  T& where;
  T backup;
  dynamicval(T& wh, T val) : where(wh) { backup = wh; wh = val; }
  dynamicval(T& wh) : where(wh) { backup = wh; }
  ~dynamicval() { where = backup; }
  };

struct stalemate1 {
  eMonster who;
  cell *moveto;
  cell *killed;
  cell *pushto;
  cell *comefrom;
  cell *swordlast[2], *swordtransit[2], *swordnext[2];
  bool isKilled(cell *c);
  stalemate1(eMonster w, cell *mt, cell *ki, cell *pt, cell *cf) : who(w), moveto(mt), killed(ki), pushto(pt), comefrom(cf) {}
  };

namespace stalemate {
  extern vector<stalemate1> moves;
  extern bool  nextturn;
  
  bool isKilled(cell *c);

  bool isMoveto(cell *c);
  bool isKilledDirectlyAt(cell *c);
  bool isPushto(cell *c);
  };

extern int turncount;

bool reduceOrbPower(eItem it, int cap);
bool checkOrb(eMonster m1, eItem orb);

movedir vectodir(const hyperpoint& P);

namespace tortoise {
  extern int seekbits;
  int getRandomBits();
  }

namespace sword {

  extern array<int, MAXPLAYER> angle;

  cell *pos(cell *c, int s);
  cell *pos(int id);
  bool at(cell *where, bool noplayer = false);
  int shift(cell *c1, cell *c2);
  }

void killThePlayer(eMonster m, int id, flagtype flags);
bool attackJustStuns(cell *c2, flagtype flags, eMonster attacker);

bool isTargetOrAdjacent(cell *c);
bool warningprotection(const string& s);
bool mineMarked(cell *c);
bool minesafe();
bool hasSafeOrb(cell *c);
void placeWater(cell *c, cell *c2);
bool againstCurrent(cell *w, cell *from);
bool needConfirmation();
bool needConfirmationEvenIfSaved();

#define DEFAULTCONTROL (multi::players == 1 && !shmup::on && !multi::alwaysuse && !(rug::rugged && rug::renderonce))
#define DEFAULTNOR(sym) (DEFAULTCONTROL || multi::notremapped(sym))

extern bool smooth_scrolling;
extern bool timerghost;
extern bool gen_wandering;

#define CAP_MENUSCALING (ISPANDORA || ISMOBILE)

#if CAP_MENUSCALING
#define displayfrZ dialog::zoom::displayfr
#define displayfrZH dialog::zoom::displayfr_highlight
#else
#define displayfrZ displayfr
#define displayfrZH dialog::zoom::displayfr_highlight
#endif

namespace dialog {
  extern string highlight_text;
  extern color_t dialogcolor;
  extern int dfsize, dfspace;

  enum tDialogItem {diTitle, diItem, diBreak, diHelp, diInfo, diIntSlider, diSlider, diBigItem};

  struct item {
    tDialogItem type;
    string body;
    string value;
    string keycaption;
    int key;
    color_t color, colorv, colork, colors, colorc;
    int scale;
    double param;
    int p1, p2, p3;
    int position;
    };
  
  struct scaler {
    ld (*direct) (ld);
    ld (*inverse) (ld);
    bool positive;
    };
  
  static inline ld identity_f(ld x) { return x; };
  
  const static scaler identity = {identity_f, identity_f, false};
  const static scaler logarithmic = {log, exp, true};
  const static scaler asinhic = {asinh, sinh, false};
 
  struct numberEditor {
    ld *editwhat;
    string s;
    ld vmin, vmax, step, dft;
    string title, help;
    scaler sc;
    int *intval; ld intbuf;
    bool animatable;
    };
  
  extern numberEditor ne;

  extern vector<item> items;
  
  extern reaction_t reaction, extra_options, reaction_final;

  item& lastItem();
  extern color_t *palette;

  string keyname(int k);
  
  string disp(ld x);
  void addSelItem(string body, string value, int key);
  void addBoolItem(string body, bool value, int key);
  void addBigItem(string body, int key);
  void addColorItem(string body, int value, int key);
  void openColorDialog(color_t& col, color_t *pal = palette);
  extern bool colorAlpha;
  void addHelp(string body);
  void addInfo(string body, color_t color = dialogcolor);
  void addItem(string body, int key);
  int addBreak(int val);  
  void addTitle(string body, color_t color, int scale);
  
  void init();
  void init(string title, color_t color = 0xE8E8E8, int scale = 150, int brk = 60);
  void display();

  void editNumber(ld& x, ld vmin, ld vmax, ld step, ld dft, string title, string help);
  void editNumber(int& x, int vmin, int vmax, int step, int dft, string title, string help);
  void use_hexeditor();
  inline void scaleLog() { ne.sc = logarithmic; }
  inline void scaleSinh() { ne.sc = asinhic; }
  void bound_low(ld val);
  void bound_up(ld val);

  void handleNavigation(int &sym, int &uni);
  
  namespace zoom {
    bool displayfr(int x, int y, int b, int size, const string &s, color_t color, int align);
    bool displayfr_highlight(int x, int y, int b, int size, const string &s, color_t color, int align, int hicolor = 0xFFFF00);
    }

  bool editingDetail();

  int handlePage(int& nl, int& nlm, int perpage);
  void displayPageButtons(int i, bool pages);
  bool handlePageButtons(int uni);
  extern bool sidedialog;
  extern int dialogflags;
  extern int dcenter;
  int displaycolor(color_t col);

  void openFileDialog(string& filename, string fcap, string ext, bool_reaction_t action);
  
  extern string infix;
  bool hasInfix(const string &s);
  bool editInfix(int uni);

  void vpush(color_t, const char *name);
  extern vector<pair<string, color_t> > v;  
  
  void addHelp();
  void addBack();
  void add_action(const reaction_t& action);
  void add_key_action(int key, const reaction_t& action);

  void add_action_push(const reaction_t& action);
  void addBoolItem_action(const string&  s, bool& b, char c);
  void addBoolItem_action_neg(const string&  s, bool& b, char c);
  template<class T> void addBoolItem_choice(const string&  s, T& b, T val, char c) {
    addBoolItem(s, b == val, c);
    add_action([&b, val] { b = val; });
    }
  
  string view_edited_string();
  void start_editing(string& s);
  string editchecker(int sym, int uni);
  bool handle_edit_string(int sym, int uni, function<string(int, int)> checker = editchecker);
  void edit_string(string& s, string title, string help);
  
  void confirm_dialog(const string& text, const reaction_t& act);
  
  inline void cheat_if_confirmed(const reaction_t& act) {
    if(needConfirmationEvenIfSaved()) pushScreen([act] () { confirm_dialog(XLAT("This will enable the cheat mode, making this game ineligible for scoring. Are you sure?"), act); });
    else act();
    }

  inline void do_if_confirmed(const reaction_t& act) {
    if(needConfirmationEvenIfSaved()) pushScreen([act] () { confirm_dialog(XLAT("This will end your current game and start a new one. Are you sure?"), act); });
    else act();
    }

  inline reaction_t add_confirmation(const reaction_t& act) {
    return [act] { do_if_confirmed(act); };
    }
  }

void checkStunKill(cell *dest);

void clearMessages();

namespace shot {
  #if CAP_SHOT
  extern int shotx, shoty, shotformat;
  extern bool make_svg;
  extern ld gamma, fade;
  extern string caption;
  extern bool transparent;
  void menu();
  void default_screenshot_content();
  void take(string fname, const function<void()>& what = default_screenshot_content);
  #endif
  }

#if CAP_SVG
namespace svg {
  void circle(int x, int y, int size, color_t col, color_t fillcolor, double linewidth);
  void polygon(int *polyx, int *polyy, int polyi, color_t col, color_t outline, double linewidth);
  void text(int x, int y, int size, const string& str, bool frame, color_t col, int align);
  extern bool in;
  extern string link;
  #if CAP_SHOT
  void render(const string& fname, const function<void()>& what = shot::default_screenshot_content);
  #endif
  }
#else
namespace svg {
  static const always_false in;
  }
#endif

extern int sightrange_bonus, genrange_bonus, gamerange_bonus;

namespace halloween {
  void getTreat(cell *where);
  }

// just in case if I change my mind about when Orbs lose their power
#define ORBBASE 0

transmatrix mscale(const transmatrix& t, double fac);
transmatrix mzscale(const transmatrix& t, double fac);
extern bool ivoryz;
#define mmscale(V, x) (mmspatial ? (ivoryz ? mzscale(V,x) : mscale(V, x)) : (V))

#define SHADOW_WALL 0x60
#define SHADOW_SL   0x18
#define SHADOW_MON  0x30

transmatrix face_the_player(const transmatrix V);
void addradar(const transmatrix& V, char ch, color_t col, color_t outline);

bool drawMonsterType(eMonster m, cell *where, const transmatrix& V, color_t col, double footphase);

void drawPlayerEffects(const transmatrix& V, cell *c, bool onPlayer);

// monster movement animations

struct animation {
  int ltick;
  double footphase;
  transmatrix wherenow;
  int attacking;
  transmatrix attackat;
  bool mirrored;
  };

// we need separate animation layers for Orb of Domination and Tentacle+Ghost,
// and also to mark Boats
#define ANIMLAYERS 3
#define LAYER_BIG   0 // for worms and krakens
#define LAYER_SMALL 1 // for others
#define LAYER_BOAT  2 // mark that a boat has moved

extern array<map<cell*, animation>, ANIMLAYERS> animations;

void animateAttack(cell *src, cell *tgt, int layer, int direction_hint);

void animateMovement(cell *src, cell *tgt, int layer, int direction_hint);

// for animations which might use the same locations,
// such as replacements or multi-tile monsters
void indAnimateMovement(cell *src, cell *tgt, int layer, int direction_hint);
void commitAnimations(int layer);

void animateReplacement(cell *a, cell *b, int layer, int direction_hinta, int direction_hintb);
void fallingFloorAnimation(cell *c, eWall w = waNone, eMonster m = moNone);
void fallingMonsterAnimation(cell *c, eMonster m, int id = multi::cpid);

// ranks:
enum class PPR {
  ZERO, EUCLIDEAN_SKY, OUTCIRCLE, MOVESTAR,
  MINUSINF,
  BELOWBOTTOMm,
  BELOWBOTTOM,
  BELOWBOTTOMp,
  BELOWBOTTOM_FALLANIM,
  LAKEBOTTOM, HELLSPIKE,
  INLAKEWALLm, INLAKEWALL, INLAKEWALLp,
  INLAKEWALL_FALLANIM,
  SUBLAKELEV, LAKELEV, BOATLEV, BOATLEV2, BOATLEV3,
  LAKEWALLm, LAKEWALL, LAKEWALLp,
  LAKEWALL_FALLANIM,
  FLOOR_TOWER,
  FLOOR,
  FLOOR_DRAGON,
  FLOORa, FLOORb, FLOORc, FLOORd,
  LIZEYE,
  BFLOOR,
  GFLOORa, GFLOORb, GFLOORc,
  WALLSHADOW,
  STRUCT0, STRUCT1, STRUCT2, STRUCT3,
  THORNS, WALL,
  REDWALLm, REDWALLs, REDWALLp, REDWALL,
  REDWALLm2, REDWALLs2, REDWALLp2, REDWALLt2,
  REDWALLm3, REDWALLs3, REDWALLp3, REDWALLt3,
  HEPTAMARK,
  ITEM_BELOW,
  ITEM, ITEMa, ITEMb,
  BIGSTATUE,

  WALL3m, WALL3s, WALL3p, WALL3, WALL3A,

// WALL3m, WALL3s, WALL3p, WALL3, WALL3A,
  HIDDEN, GIANTSHADOW,
  TENTACLE0, TENTACLE1,
  ONTENTACLE, ONTENTACLE_EYES, ONTENTACLE_EYES2,
  MONSTER_SHADOW,
  MONSTER_FOOT, MONSTER_LEG, MONSTER_GROIN,
  MONSTER_SUBWPN, MONSTER_WPN,
  MONSTER_BODY, MONSTER_ARMOR0, MONSTER_ARMOR1,
  MONSTER_CLOAK, MONSTER_NECK,
  MONSTER_HEAD, MONSTER_FACE, MONSTER_EYE0, MONSTER_EYE1,
  MONSTER_HAIR, MONSTER_HAT0, MONSTER_HAT1,
  MONSTER_HOODCLOAK1, MONSTER_HOODCLOAK2,
  STUNSTARS,
  CARRIED, CARRIEDa, CARRIEDb,
  PARTICLE, SWORDMARK, MAGICSWORD, MISSILE, SKY,
  MINEMARK, ARROW,
  MOBILE_ARROW,
  LINE, 
  // in depth tested models transparent surfaces need to be depth sorted by HyperRogue
  // and set to PPR::TRANSPARENT_* to draw them after all the opaque ones
  TRANSPARENT_LAKE, TRANSPARENT_SHADOW, TRANSPARENT_WALL,
  // no depth testing for SUPERLINE and above
  SUPERLINE, TEXT, CIRCLE,
  MAX,
  DEFAULT = -1
  };

inline PPR operator + (PPR x, int y) { return PPR(int(x) + y); }
inline PPR operator - (PPR x, int y) { return PPR(int(x) - y); }
inline int operator - (PPR x, PPR y) { return int(x) - int(y); }

namespace mapeditor {
  bool drawUserShape(const transmatrix& V, eShapegroup group, int id, color_t color, cell *c, PPR prio = PPR::DEFAULT);
  }

#if CAP_SHAPES
void ShadowV(const transmatrix& V, const struct hpcshape& bp, PPR prio = PPR::MONSTER_SHADOW);
#endif

#define OUTLINE_NONE     0x000000FF
#define OUTLINE_FRIEND   0x00FF00FF
#define OUTLINE_ENEMY    0xFF0000FF
#define OUTLINE_TREASURE 0xFFFF00FF
#define OUTLINE_ORB      0xFF8000FF
#define OUTLINE_OTHER    0xFFFFFFFF
#define OUTLINE_DEAD     0x800000FF
#define OUTLINE_TRANS    0
#define OUTLINE_DEFAULT  ((bordcolor << 8) + 0xFF)
#define OUTLINE_FORE     ((forecolor << 8) + 0xFF)
#define OUTLINE_BACK     ((backcolor << 8) + 0xFF)

extern bool audio;
extern string musiclicense;
extern string musfname[landtypes];
extern int musicvolume, effvolume;
void initAudio();
bool loadMusicInfo();
void handlemusic();
void playSeenSound(cell *c);
void playSound(cell *c, const string& fname, int vol = 100);

inline string pick123() { return cts('1' + rand() % 3); }
inline string pick12() { return cts('1' + rand() % 2); }

bool playerInBoat(int i);

extern int lowfar;
extern bool wmspatial, wmescher, wmplain, wmblack, wmascii;
extern bool mmspatial, mmhigh, mmmon, mmitem;
extern bool spatial_graphics;
extern int maxreclevel, reclevel;

string explain3D(ld *param);

extern int detaillevel;
extern bool quitmainloop;

enum eGlyphsortorder {
  gsoFirstTop, gsoFirstBottom,
  gsoLastTop, gsoLastBottom,
  gsoLand, gsoValue,
  gsoMAX
  };

extern eGlyphsortorder glyphsortorder;

void explodeMine(cell *c);
bool mayExplodeMine(cell *c, eMonster who);
void explosion(cell *c, int power, int central);
void explodeBarrel(cell *c);

enum eGravity { gsNormal, gsLevitation, gsAnti };
extern eGravity gravity_state, last_gravity_state;

int gravityLevel(cell *c);
int gravityLevelDiff(cell *c, cell *f);
void fullcenter();
void movecost(cell* from, cell *to, int phase); // 1 = pre-collect, 2 = post-collect, 3 = both
void checkmove();

transmatrix eumove(ld x, ld y);
transmatrix eumove(int vec);
transmatrix eumovedir(int d);

int reptilemax();

extern bool mousing;
#define IFM(x) (mousing?"":x)

extern cellwalker recallCell;

extern eLand cheatdest;
void cheatMoveTo(eLand l);

void doOvergenerate();

void collectMessage(cell *c2, eItem which);

namespace quotientspace {
  void build();
  void clear();
  extern vector<int> connections;
  }

void killFriendlyIvy();

#if CAP_SHAPES
void pushdown(cell *c, int& q, const transmatrix &V, double down, bool rezoom, bool repriority);
#endif

extern bool viewdists;

void preventbarriers(cell *c);

bool passable_for(eMonster m, cell *w, cell *from, flagtype extra);

void beastcrash(cell *c, cell *beast);

int angledist(int t, int d1, int d2);
int angledist(cell *c, int d1, int d2);

void setcameraangle(bool b);

#define MODELCOUNT ((int) mdGUARD)

void drawShape(pair<ld,ld>* coords, int qty, color_t color);

#define pmodel (vid.vpmodel)
string current_proj_name();

inline bool mdAzimuthalEqui() { return among(pmodel, mdEquidistant, mdEquiarea, mdEquivolume); }

inline bool mdBandAny() { return among(pmodel, mdBand, mdBandEquidistant, mdBandEquiarea, mdSinusoidal); }

color_t darkena(color_t c, int lev, int a);

#define SHSIZE 16


extern vector<array<cell*, MAXPLAYER>> shpos;
extern int cshpos;

#if CAP_ANIMATIONS
namespace anims {
  void animate_parameter(ld &x, string f, const reaction_t& r);
  void deanimate(ld &x);
  void get_parameter_animation(ld &x, string& f);
  extern ld a, b;
  }
#endif

namespace arg {
#if CAP_COMMANDLINE
  
  void lshift();
  void unshift();

  void shift();

  const string& args();
  const char* argcs();
  int argi();
  ld argf();
  bool argis(const string& s);
  bool nomore();
  unsigned arghex();

  inline void shift_arg_formula(ld& x, const reaction_t& r = reaction_t()) { shift(); x = argf(); 
    #if CAP_ANIMATIONS
    anims::animate_parameter(x, args(), r); 
    #endif
    }
  
  void init(int _argc, char **_argv);
  
  void launch_dialog(const reaction_t& r = reaction_t());
  
  extern int curphase;
  
  void phaseerror(int x);
  
  // returned values: 0 = ok, 1 = not recognized, 2 = shift phase
  int readCommon();
  int readLocal();

// an useful macro
#define PHASE(x) { if(arg::curphase > x) arg::phaseerror(x); else if(arg::curphase < x) return 2; }
#define PHASEFROM(x) { if(arg::curphase < x) return 2; }

  inline void cheat() { autocheat = true; cheater++; timerghost = false; }

#define TOGGLE(x, param, act) \
else if(args()[0] == '-' && args()[1] == x && !args()[2]) { PHASEFROM(2); showstartmenu = false; act; } \
else if(args()[0] == '-' && args()[1] == x && args()[2] == '1') { PHASEFROM(2); showstartmenu = false; if(!param) act; } \
else if(args()[0] == '-' && args()[1] == x && args()[2] == '0') { PHASEFROM(2); showstartmenu = false; if(param) act; }

  
  void read(int phase);

  eLand readland(const string& ss);
  eItem readItem(const string& ss);
  eMonster readMonster(const string& ss);
    
#endif
  }

extern bool generatingEquidistant;

void clearfrom(heptagon *at);
void clearHexes(heptagon *at);
void verifycells(heptagon *at);
int zebra40(cell *c);
cell *createMov(cell *c, int d);

#if CAP_TOUR
namespace tour {
  extern bool on;
  extern string tourhelp;
  extern string slidecommand;
  extern int currentslide;
  
  enum presmode { 
    pmStartAll = 0,
    pmStart = 1, pmFrame = 2, pmStop = 3, pmKey = 4, pmRestart = 5,
    pmAfterFrame = 6,
    pmGeometry = 11, pmGeometryReset = 13, pmGeometryStart = 15
    };

  void setCanvas(presmode mode, char canv);

  void presentation(presmode mode);
  void checkGoodLand(eLand l);
  int getid();
  
  extern function<eLand(eLand)> getNext;
  extern function<bool(eLand)> quickfind;
  extern function<bool(eLand)> showland;

  void start();

  struct slide { 
    const char *name; int unused_id; int flags; const char *help; 
    function<void(presmode mode)> action;
    } ;
  
  extern slide *slides;
  extern slide default_slides[];

  static const int LEGAL_NONE=0;
  static const int LEGAL_UNLIMITED=1;
  static const int LEGAL_HYPERBOLIC=2;
  static const int LEGAL_ANY=3;
  static const int LEGAL_NONEUC=4;
  static const int QUICKSKIP=8;
  static const int FINALSLIDE=16;
  static const int QUICKGEO=32;
  static const int SIDESCREEN = 64;
  static const int USE_SLIDE_NAME = 128;
  
  extern slide slideHypersian;
  extern slide slideExpansion;

  namespace ss {
    void showMenu();
    void list(slide*);
    }

  extern hookset<void(int)> *hooks_slide;
  };
#else
namespace tour {
  static const always_false on;
  }
#endif

extern bool doCross;
void optimizeview();

extern bool noGUI;
extern bool dronemode;

extern ld whatever[16];
extern int whateveri[16];

namespace sm {
  static const int NORMAL = 1;
  static const int MISSION = 2;
  static const int HELP = 4;
  static const int MAP = 8;
  static const int DRAW = 16;
  static const int NUMBER = 32;
  static const int SHMUPCONFIG = 64;
  static const int OVERVIEW = 128;
  static const int SIDE = 256;
  static const int DOTOUR = 512;
  static const int CENTER = 1024;
  static const int ZOOMABLE = 4096;
  static const int TORUSCONFIG = 8192;
  static const int MAYDARK = 16384;
  static const int DIALOG_STRICT_X = 32768; // do not interpret dialog clicks outside of the X region
  static const int EXPANSION = (1<<16);
  static const int HEXEDIT = (1<<17);
  };

namespace linepatterns {

  enum ePattern {
    patPalacelike,
    patPalace,
    patZebraTriangles,
    patZebraLines,
    patTriTree,
    patTriRings,
    patHepta,
    patRhomb,
    patTree,
    patAltTree,
    patVine,
    patPower,
    patNormal,
    patTrihepta,
    patBigTriangles,
    patBigRings,
    patHorocycles,
    patTriOther,
    patDual,
    patMeridians,
    patParallels,
    patCircles,
    patRadii
    };
  
  void clearAll();
  void setColor(ePattern id, color_t col);
  void drawAll();
  void showMenu();
  void switchAlpha(ePattern id, color_t col);

  struct linepattern {
    int id;
    const char *lpname;
    color_t color;
    };

  extern vector<linepattern> patterns;
  extern ld width;
  };

transmatrix ddspin(cell *c, int d, ld bonus = 0);
transmatrix iddspin(cell *c, int d, ld bonus = 0);
bool doexiton(int sym, int uni);
void switchFullscreen();
string turnstring(int i);
int celldistance(cell *c1, cell *c2);
int hyperbolic_celldistance(cell *c1, cell *c2);
bool behindsphere(const transmatrix& V);
extern hyperpoint pirateCoords;

bool mouseout();

bool againstWind(cell *c2, cell *c1); // to, from

transmatrix atscreenpos(ld x, ld y, ld size);

hyperpoint mirrorif(const hyperpoint& V, bool b);

#define SETMOUSEKEY 5000
extern char mousekey;
extern char newmousekey;
void displaymm(char c, int x, int y, int rad, int size, const string& title, int align);

bool canPushThumperOn(cell *tgt, cell *thumper, cell *player);
void pushThumper(cell *th, cell *cto);

template<class T, class... U> T pick(T x, U... u) { std::initializer_list<T> i = {x,u...}; return *(i.begin() + hrand(1+sizeof...(u))); }

eLand getNewSealand(eLand old);
bool createOnSea(eLand old);

namespace inv {
  extern bool on;
  extern bool usedForbidden;
  extern bool activating;
  extern array<int, ittypes> remaining;
  extern array<int, ittypes> usedup;
  void compute();
  void applyBox(eItem it);

  extern int incheck;  
  void check(int delta);
  void show();
  }

bool drawItemType(eItem it, cell *c, const transmatrix& V, color_t icol, int ticks, bool hidden);

void initquickqueue();
void quickqueue();
int darkenedby(int c, int lev);
extern int mousex, mousey;
extern ld mouseaim_x, mouseaim_y, mouseaim_sensitivity;
string generateHelpForItem(eItem it);
bool graphglyph();
extern bool hiliteclick;
extern int antialiaslines;
extern color_t ringcolor, periodcolor, modelcolor, stdgridcolor;

#include <functional>

template<class T, class U> int addHook(hookset<T>*& m, int prio, const U& hook) {
  if(!m) m = new hookset<T> ();
  while(m->count(prio)) {
    prio++;
    }
  (*m)[prio] = hook;
  return 0;
  }

extern purehookset hooks_frame, hooks_stats, clearmemory, hooks_config, hooks_tests, hooks_removecells, hooks_initgame, hooks_calcparam, hooks_mainmenu, hooks_startmenu, hooks_markers;
extern purehookset hooks_swapdim;

template<class T, class... U> void callhooks(hookset<T> *h, U... args) {
  if(h) for(auto& p: *h) p.second(args...);
  }

template<class T, class V, class... U> V callhandlers(V zero, hookset<T> *h, U&... args) {
  if(h) for(auto& p: *h) {
    auto z = p.second(args...);
    if(z != zero) return z;
    }
  return zero;
  }

extern hookset<bool(int sym, int uni)> *hooks_handleKey;
extern hookset<bool(cell *c, const transmatrix& V)> *hooks_drawcell;
extern hookset<bool(int argc, char** argv)> *hooks_main;
extern hookset<int()> *hooks_args;
extern hookset<bool(cell*)> *hooks_mark;
extern hookset<eLand(eLand)> *hooks_nextland;
extern hookset<bool()> *hooks_welcome_message, *hooks_default_help;
extern hookset<void(cell*)> *hooks_mouseover;
extern hookset<struct hrmap*()> *hooks_newmap;

extern ld shiftmul;
void initcs(charstyle &cs);
charstyle& getcs(int id = multi::cpid);

struct msginfo {
  int stamp;
  time_t rtstamp;
  int gtstamp;
  int turnstamp;
  char flashout;
  char spamtype;
  int quantity;
  string msg;
  };

extern vector<msginfo> msgs;
void flashMessages();

extern int lightat, safetyat;

int watercolor(int phase);
bool doHighlight();
void buildHelpText();
void buildCredits();
void setAppropriateOverview();
bool quitsaves();

extern const char* COLORBAR;

int textwidth(int siz, const string &str);
#define GLERR(call) glError(call, __FILE__, __LINE__)

extern bool gtouched, mousepressed, mousemoved, actonrelease;
extern bool inslider;

struct colortable: vector<color_t> {
  color_t& operator [] (int i) { i %= size(); if(i<0) i += size(); return ((vector<color_t>&)(*this)) [i]; }
  const color_t& operator [] (int i) const { i %= size(); if(i<0) i += size(); return ((vector<color_t>&)(*this)) [i]; }
  colortable(std::initializer_list<color_t> v) : vector(v) {}
  colortable() : vector({0}) {}
  };

extern bool outoffocus;
extern int frames;
extern transmatrix playerV;
extern bool didsomething;
extern void drawStats();
extern int calcfps();
extern colortable distcolors, minecolors;

extern eItem orbToTarget;
extern eMonster monsterToSummon;

void panning(hyperpoint hf, hyperpoint ht);
extern transmatrix sphereflip;

void initConfig();
void loadConfig();

extern bool auraNOGL;

#if CAP_SDLJOY
extern void initJoysticks();
extern bool autojoy;
extern int joyx, joyy, panjoyx, panjoyy;
extern movedir joydir;
extern SDL_Joystick* sticks[8];
extern int numsticks;
void closeJoysticks();
#endif

void preparesort();

#define SHMUPTITLE "shoot'em up mode"

bool dodrawcell(cell *c);
void drawcell(cell *c, transmatrix V, int spinv, bool mirrored);
extern cell* straightDownSeek;
extern hyperpoint straightDownPoint;
extern ld straightDownSpeed;

extern int frameid;
extern bool leftclick;
void clearMemory();

extern function <void(int sym, int uni)> keyhandler;
#if CAP_SDL
extern function <bool(SDL_Event &ev)> joyhandler;
#endif
bool gmodekeys(int sym, int uni);

// check for a plain number key
#define NUMBERKEY (interpret_as_direction(sym, uni) ? 0 : uni)
#define DKEY (get_direction_key(sym, uni))
#define DIRECTIONKEY (interpret_as_direction(sym, uni) ? uni : 0)

bool interpret_as_direction(int sym, int uni);
int get_direction_key(int sym, int uni);

void switchGL();
void switchFullscreen();
extern int cmode;

namespace scores { void load(); }

void gotoHelp(const string& h);
void showCustomizeChar();
void showCheatMenu();
void showGraphQuickKeys();
void showChangeMode();
void showEuclideanMenu();
void show3D();
void gameoverscreen();
void showJoyConfig();

void gamescreen(int darken);
void showMission();
void handleKeyQuit(int sym, int uni);
void handlePanning(int sym, int uni);

#if ISMOBILE==1
namespace leader { void showMenu(); void handleKey(int sym, int uni); }
#endif

namespace mirror {
  cellwalker reflect(const cellwalker& cw);
  }

bool inmirror(eLand l);
bool inmirror(cell *c);
bool inmirror(const cellwalker& cw);

void queuemarkerat(const transmatrix& V, color_t col);

void check_total_victory();
void applyBoxNum(int& i, string name = "");
extern int hinttoshow;

bool isShmupLifeOrb(eItem it);
int orbcharges(eItem it);

color_t gradient(color_t c0, color_t c1, ld v0, ld v, ld v1);

struct hint {
  time_t last;
  function<bool()> usable;
  function<void()> display;
  function<void()> action;  
  };

extern hint hints[];
int counthints();

void gainShard(cell *c2, const char *msg);

int textwidth(int siz, const string &str);
#if CAP_GL
int gl_width(int size, const char *s);
#endif

#ifdef ISMOBILE
extern int andmode;
extern bool longclick;
extern bool useRangedOrb;
#endif

void addaura(hyperpoint h, color_t col, int fd);
void addauraspecial(hyperpoint h, color_t col, int dir);
void drawaura();
void clearaura();

void drawBug(const cellwalker& cw, color_t col);

void mainloop();
void mainloopiter();
extern bool showstartmenu;
void selectLanguageScreen();

bool inscreenrange(cell *c);
bool allowIncreasedSight();
bool allowChangeRange();

static inline bool orbProtection(eItem it) { return false; } // not implemented

#if CAP_FIELD
namespace windmap {
  void create();

  static const int NOWINDBELOW = 8;
  static const int NOWINDFROM = 120;

  int getId(cell *c);
  int at(cell *c);
  }
#endif

extern int wavephase;

void buildEquidistant(cell *c);
void produceGhost(cell *c, eMonster victim, eMonster who);
void sideAttack(cell *mf, int dir, eMonster who, int bonus, eItem orb);
void sideAttack(cell *mf, int dir, eMonster who, int bonuskill);

void orboflava(int i);

void setland(cell *c, eLand l);

eLand getNewLand(eLand old);

extern bool randomPatternsMode;

extern int isRandland(eLand l);

extern vector<cell*> buggycells;

extern bool landUnlocked(eLand l);

extern void describeCell(cell*);
extern bool rlyehComplete();

extern int steplimit, cstep;

template<class... T>
void limitgen(T... args) {
  if(steplimit) {
    cstep++;
    printf("%6d ", cstep);
    printf(args...);
    if(cstep == steplimit) buggyGeneration = true;
    }
  }

eLand oppositeElement(eLand l, eLand l2);

extern int hardness_empty();
extern eWall getElementalWall(eLand l);

void gainItem(eItem it);

void destroyTrapsOn(cell *c);
void destroyTrapsAround(cell *c);

extern int messagelogpos;

void showMessageLog();

int getgametime();
string getgametime_s(int timespent = getgametime());
extern int stampbase;

transmatrix cellrelmatrix(cell *c, int i);

void terracottaAround(cell *c);

double cellgfxdist(cell *c, int i);

int ctof(cell *c);

void modalDebug(cell *c);
void push_debug_screen();
int getDistLimit();

void drawqueue();

#ifndef GL
typedef float GLfloat;
#endif

typedef array<GLfloat, 2> glvec2;
typedef array<GLfloat, 3> glvec3;
typedef array<GLfloat, 4> glvec4;

#if MAXMDIM == 4
#define SHDIM 4
typedef glvec4 glvertex;
#else
#define SHDIM 3
typedef glvec3 glvertex;
#endif

struct texture_triangle {
  array<hyperpoint, 3> v;
  array<hyperpoint, 3> tv;
  texture_triangle(array<hyperpoint, 3> _v, array<hyperpoint, 3> _tv) : v(_v), tv(_tv) {}
  };

struct basic_textureinfo {
  int texture_id;
  vector<glvertex> tvertices; 
  };
  
struct textureinfo : basic_textureinfo {
  transmatrix M;
  vector<texture_triangle> triangles;
  vector<glvertex> vertices;
  cell *c;
  vector<transmatrix> matrices;
  
  // these are required to adjust to geometry changes
  int current_type, symmetries;
  };

struct drawqueueitem {
  PPR prio;
  color_t color;
  int subprio;
  virtual void draw() = 0;
  virtual void draw_back() {}
  virtual void draw_pre() {}
  virtual ~drawqueueitem() {}
  void draw_darker();
  virtual color_t outline_group() = 0;
  };

struct dqi_poly : drawqueueitem {
  ld band_shift;
  transmatrix V;
  const vector<glvertex> *tab;
  int offset, cnt, offset_texture;
  color_t outline;
  double linewidth;
  int flags;
  basic_textureinfo *tinf;
  hyperpoint intester;
  void draw();
  void gldraw();
  void draw_back();
  virtual color_t outline_group() { return outline; }
  };

struct dqi_line : drawqueueitem {
  ld band_shift;
  hyperpoint H1, H2;
  int prf;
  double width;
  void draw();
  void draw_back();
  virtual color_t outline_group() { return color; }
  };
      
struct dqi_string : drawqueueitem {
  string str;
  int x, y, shift, size, frame;
  int align;
  void draw();
  virtual color_t outline_group() { return 1; }
  };

struct dqi_circle : drawqueueitem {
  int x, y, size, fillcolor;
  double linewidth;
  void draw();
  virtual color_t outline_group() { return 2; }
  };

struct dqi_action : drawqueueitem {
  reaction_t action;
  dqi_action(const reaction_t& a) : action(a) {}
  void draw() { action(); }
  virtual color_t outline_group() { return 2; }
  };

struct sky_item {
  cell *c;
  transmatrix T;
  color_t color;
  sky_item(cell *_c, const transmatrix _T, color_t _color) : c(_c), T(_T), color(_color) {}
  };

extern struct dqi_sky *sky;

struct dqi_sky : drawqueueitem {
  vector<sky_item> sky;
  void draw();
  virtual color_t outline_group() { return 3; }
  // singleton
  dqi_sky() { hr::sky = this; }
  ~dqi_sky() { hr::sky = NULL; }
  };
  
extern int emeraldtable[100][7];

// extern cell *cwpeek(cellwalker cw, int dir);

const eLand NOWALLSEP = laNone;
const eLand NOWALLSEP_USED = laWhirlpool;

bool hasbardir(cell *c);

bool buildBarrierNowall(cell *c, eLand l2, int forced_dir = NODIR);
bool checkBarriersBack(cellwalker bb, int q=5, bool cross = false);
bool checkBarriersFront(cellwalker bb, int q=5, bool cross = false);

bool quickfind(eLand l);
void beCIsland(cell *c);
bool isOnCIsland(cell *c);
void generateTreasureIsland(cell *c);
bool openplains(cell *c);
void buildBigStuff(cell *c, cell *from);
void setLandQuotient(cell *c);
void setLandSphere(cell *c);
void setLandWeird(cell *c);
void moreBigStuff(cell *c);
void setLandEuclid(cell *c);
bool checkInTree(cell *c, int maxv);
cell *findcompass(cell *c);
int edgeDepth(cell *c);
int compassDist(cell *c);
void buildCamelot(cell *c);

#define HAUNTED_RADIUS getDistLimit()
#define UNKNOWN 65535

#if CAP_COMMANDLINE
extern const char *scorefile;
extern string levelfile;
extern string picfile;
extern const char *conffile;
extern const char *musicfile;
#endif

extern string s0;
extern int anthraxBonus;
int celldistAlt(cell *c);
int celldist(cell *c);
int masterAlt(cell *c);
int getHemisphere(cell *c, int which);

namespace tactic {
  extern bool on;
  extern bool trailer;
  }

namespace yendor {
  extern bool on;
  extern bool generating;
  extern eLand nexttostart;
  
  #define YF_DEAD 1
  #define YF_WALLS 2
  #define YF_END 4
  #define YF_DEAD5 8

  #define YF_NEAR_IVY   16
  #define YF_NEAR_ELEM  32
  #define YF_NEAR_OVER  64
  #define YF_NEAR_RED   128
  #define YF_REPEAT     512
  #define YF_NEAR_TENT  1024

  #define YF_START_AL   2048
  #define YF_START_CR   4096
  #define YF_CHAOS      8192
  #define YF_RECALL     16384
  #define YF_NEAR_FJORD 32768
  
  #define YF_START_ANY  (YF_START_AL|YF_START_CR)  

  struct yendorlevel {
    eLand l;
    int flags;
    };
  
  yendorlevel& clev();
  }

namespace clearing {

  struct clearingdata {
    cell *root;
    int dist;
    };
  
  extern bool buggyplant;
  
  extern std::map<heptagon*, clearingdata> bpdata;
  }

namespace peace {
  extern bool on;
  }

namespace princess {
#define EPX 39
#define EPY 21

#define OUT_OF_PRISON 200
#define OUT_OF_PALACE 250
#define PRADIUS0 (141)
#define PRADIUS1 (150)

  extern bool generating;
  extern bool gotoPrincess;
  extern bool forceMouse;
  extern bool challenge;
  extern bool squeaked;
  extern bool saved;
  extern bool nodungeon;
  extern int reviveAt;
  extern bool forceVizier;

  struct info {
    int id;         // id of this info
    cell *prison;   // where was the Princess locked
    heptagon *alt;  // alt of the prison
    int bestdist;   // best dist achieved
    int bestnear;   // best dist achieved, by the player
    int value;      // number of Rugs at 120
    cell *princess; // where is the Princess currently
    };
    
  int newInfo(cell *c);
  }

#define GRAIL_FOUND 0x4000
#define GRAIL_RADIUS_MASK 0x3FFF

int eudist(int sx, int sy);

cell *createMovR(cell *c, int d);

bool ishept(cell *c);
int cdist50(cell *c);
bool polarb50(cell *c);

bool isGravityLand(eLand l);
bool isWarpedType(eLand l);
bool isWarped(cell *c);

struct hrmap {
  virtual heptagon *getOrigin() { return NULL; }
  virtual cell *gamestart() { return getOrigin()->c7; }
  virtual ~hrmap() { };
  virtual vector<cell*>& allcells() { return dcal; }
  virtual void verify() { }
  virtual void link_alt(const cellwalker& hs) { }
  virtual void generateAlts(heptagon *h, int levs = IRREGULAR ? 1 : S3-3, bool link_cdata = true);
  heptagon *may_create_step(heptagon *h, int direction) {
    if(h->move(direction)) return h->move(direction);
    return create_step(h, direction);
    }
  virtual heptagon *create_step(heptagon *h, int direction) {
    printf("create_step called unexpectedly\n"); exit(1);
    return NULL;
    }
  virtual transmatrix relative_matrix(heptagon *h2, heptagon *h1) {
    printf("relative_matrix called unexpectedly\n"); 
    return Id;
    }
  virtual transmatrix relative_matrix(cell *c2, cell *c1, const hyperpoint& point_hint) {
    return relative_matrix(c2->master, c1->master);
    }
  virtual void draw() {
    printf("undrawable\n");
    }
  virtual vector<hyperpoint> get_vertices(cell*);
  };

// hrmaps which are based on regular non-Euclidean 2D tilings, possibly quotient 
struct hrmap_standard : hrmap {
  void draw() override;
  transmatrix relative_matrix(cell *c2, cell *c1, const hyperpoint& point_hint) override;
  heptagon *create_step(heptagon *h, int direction) override;
  };

struct hrmap_hyperbolic : hrmap_standard {
  heptagon *origin;
  eVariation mvar;
  hrmap_hyperbolic();
  hrmap_hyperbolic(heptagon *origin);
  heptagon *getOrigin() override { return origin; }
  ~hrmap_hyperbolic() {
    // verifycells(origin);
    // printf("Deleting hyperbolic map: %p\n", this);
    dynamicval<eVariation> ph(variation, mvar);
    clearfrom(origin);
    }
  void verify() override { verifycells(origin); }
  };

namespace irr { 
  #if CAP_IRR
  extern ld density;
  extern ld quality;
  extern int cellcount;
  extern int place_attempts;
  extern int rearrange_max_attempts;
  extern int rearrange_less;
  extern int irrid;
  void link_to_base(heptagon *h, heptspin base);
  void link_start(heptagon *h);
  void link_next(heptagon *h, int d);
  void may_link_next(heptagon *h, int d);
  void link_cell(cell *c, int d);
  void clear_links(heptagon *h);
  bool pseudohept(cell*);
  array<heptagon*, 3> get_masters(cell *c);
  bool ctof(cell* c);
  bool supports(eGeometry g);
  void visual_creator();
  unsigned char density_code();
  int celldist(cell *c, bool alts);
  extern int bitruncations_requested, bitruncations_performed;
  #endif
  }

extern hrmap *currentmap;
extern vector<hrmap*> allmaps;

// list all cells in distance at most maxdist, or until when maxcount cells are reached

struct manual_celllister {
  vector<cell*> lst;
  vector<int> tmps;

  bool listed(cell *c) {
    return c->listindex >= 0 && c->listindex < isize(lst) && lst[c->listindex] == c;
    }
  
  bool add(cell *c) {
    if(listed(c)) return false;
    tmps.push_back(c->listindex);
    c->listindex = isize(lst);
    lst.push_back(c);
    return true;
    }

  ~manual_celllister() {     
    for(int i=0; i<isize(lst); i++) lst[i]->listindex = tmps[i];
    }  
  };
  

struct celllister : manual_celllister {
  vector<int> dists;
  
  void add_at(cell *c, int d) {
    if(add(c)) dists.push_back(d);
    }
  
  celllister(cell *orig, int maxdist, int maxcount, cell *breakon) {
    add_at(orig, 0);
    cell *last = orig;
    for(int i=0; i<isize(lst); i++) {
      cell *c = lst[i];
      if(maxdist) forCellCM(c2, c) {
        add_at(c2, dists[i]+1);
        if(c2 == breakon) return;
        }
      if(c == last) {
        if(isize(lst) >= maxcount || dists[i]+1 == maxdist) break;
        last = lst[isize(lst)-1];
        }
      }
    }

  int getdist(cell *c) { return dists[c->listindex]; }
  };

hrmap *newAltMap(heptagon *o);

#if CAP_FIELD
#define currfp fieldpattern::getcurrfp()
namespace fieldpattern {
  struct fpattern& getcurrfp();
  }

int currfp_gmul(int a, int b);
int currfp_inverses(int i);
int currfp_distwall(int i);

int currfp_n();
int currfp_get_P();
int currfp_get_R();
int currfp_get_X();
#endif

const char *dnameof(eMonster m);
const char *dnameof(eLand l);
const char *dnameof(eWall w);
const char *dnameof(eItem i);

void runGeometryExperiments();

// z to close to this limit => do not draw

#define BEHIND_LIMIT 1e-6

namespace lv {
  static const flagtype appears_in_geom_exp = 1;
  static const flagtype display_error_message = 2;
  static const flagtype appears_in_full = 4;
  static const flagtype appears_in_ptm = 8;
  static const flagtype display_in_help = 16;
  static const flagtype one_and_half = 32;
  };

struct land_validity_t {
  int quality_level; // 0 (dont show), 1 (1/2), 2 (ok), 3(1!)
  flagtype flags;
  string msg;
  };

extern vector<eLand> landlist;
template<class T> void generateLandList(T t);
land_validity_t& land_validity(eLand l);
bool isLandIngame(eLand l);

bool inmirrororwall(eLand l);
extern bool holdmouse;

// what part of the compass does 'skip turn'
static const auto SKIPFAC = .4;

bool haveMobileCompass();
bool handleCompass();

inline bool sphereflipped() { return sphere && vid.alpha > 1.1 && DIM == 3; }
bool hide_player();
int cellcolor(cell *c);
transmatrix screenpos(ld x, ld y);
extern ld backbrightness;

void initcells();
extern const hyperpoint C02, C03;

#define C0 (DIM == 2 ? C02 : C03)

extern long long circlesize[100], disksize[100];
extern ld circlesizeD[10000];
void computeSizes();

#if CAP_FILES
extern const char *scorefile;
extern const char *conffile;
extern string levelfile;
extern string picfile;
extern const char *musicfile;
extern const char *loadlevel;
#endif

transmatrix spin(ld alpha);
transmatrix xpush(ld alpha);
transmatrix inverse(const transmatrix&);
ld hdist(const hyperpoint& h1, const hyperpoint& h2);

extern bool fixseed;
extern eLand firstland0;
extern int startseed;

// heptspin hsstep(const heptspin &hs, int spin);

extern void fixmatrix(transmatrix&);
transmatrix rgpushxto0(const hyperpoint& H);

string its(int i);

ld hdist0(const hyperpoint& mh);

extern bool fading;
extern ld fadeout;
int itemclass(eItem i);
int monsterclass(eMonster m);

extern purehookset hooks_drawmap;
extern hookset<bool(eLand&)> *hooks_music;
extern hookset<bool()> *hooks_prestats;
extern purehookset hooks_fixticks;

ld realradius();

void sdltogl(SDL_Surface *txt, struct glfont_t& f, int ch);

void showStartMenu();

bool polara50(int x);
bool polara50(cell *c);
int fiftyval049(cell *c);

namespace fieldpattern {
  pair<int, bool> fieldval(cell *c);
  }

int emeraldval(cell *c);

int inpair(cell *c, int colorpair);
int snake_pair(cell *c);

extern colortable nestcolors;

#if CAP_TEXTURE
namespace texture {
  enum eTextureState {
    tsOff, tsAdjusting, tsActive
    };
  
  struct texture_data {
    GLuint textureid;
  
    int twidth;
    int tx, ty, origdim;
    
    texture_data() { textureid = 0; twidth = 2048; }
  
    vector<color_t> texture_pixels;
  
    color_t& get_texture_pixel(int x, int y) {
      return texture_pixels[(y&(twidth-1))*twidth+(x&(twidth-1))];
      }
    
    vector<pair<color_t*, color_t>> undos;
    vector<tuple<cell*, hyperpoint, int> > pixels_to_draw;
  
    bool loadTextureGL();
    bool whitetexture();
    bool readtexture(string tn);
    void saveRawTexture(string tn);
  
    void undo();
    void undoLock();
    void update();
    };

  struct texture_config {
    string texturename;
    string configname;
    color_t paint_color;
    eTextureState tstate;
    eTextureState tstate_max;
  
    transmatrix itt;
    
    color_t grid_color;
    color_t mesh_color;
    color_t master_color;
    color_t slave_color;
    
    int color_alpha;
    
    int gsplits;

    int recolor(color_t col);
  
    typedef tuple<eGeometry, eVariation, char, int, eModel, ld, ld> texture_parameters; 
    texture_parameters orig_texture_parameters;
    
    map<int, textureinfo> texture_map, texture_map_orig;
    set<cell*> models;
    
    basic_textureinfo tinf3;
  
    bool texture_tuned;
    string texture_tuner;
    vector<hyperpoint*> tuned_vertices;
  
    bool apply(cell *c, const transmatrix &V, color_t col);
    void mark_triangles();
  
    void clear_texture_map();
    void perform_mapping();
    void mapTextureTriangle(textureinfo &mi, const array<hyperpoint, 3>& v, const array<hyperpoint, 3>& tv, int splits);
    void mapTextureTriangle(textureinfo &mi, const array<hyperpoint, 3>& v, const array<hyperpoint, 3>& tv) { mapTextureTriangle(mi, v, tv, gsplits); }
    void mapTexture2(textureinfo& mi);
    void finish_mapping();
    void true_remap();
    void remap();
    bool correctly_mapped;
    hyperpoint texture_coordinates(hyperpoint);
  
    void drawRawTexture();
    void saveFullTexture(string tn);
  
    bool save();
    bool load();
    
    texture_data data;

    texture_config() {
      // argh, no member initialization in some of my compilers
      texturename = "textures/hyperrogue-texture.png";
      configname = "textures/hyperrogue.txc";
      itt = Id; 
      paint_color = 0x000000FF;
      grid_color = 0;
      mesh_color = 0;
      master_color = 0xFFFFFF30;
      slave_color = 0xFF000008;
      color_alpha = 128;
      gsplits = 1;
      texture_tuned = false;
      }
    
    };

  extern texture_config config;
  
  extern ld penwidth;
  extern bool saving;
  
  void showMenu();
  
  void drawPixel(cell *c, hyperpoint h, color_t col);
  extern cell *where;
  // compute 'c' automatically, based on the hint in 'where'
  void drawPixel(hyperpoint h, color_t col);
  void drawLine(hyperpoint h1, hyperpoint h2, color_t col, int steps = 10);
  
  extern bool texturesym;

  extern cpatterntype cgroup;
  
  extern bool texture_aura;
  bool using_aura();
  void start_editor();
  }
#endif

dqi_line& queueline(const hyperpoint& H1, const hyperpoint& H2, color_t col, int prf = 0, PPR prio = PPR::LINE);

dqi_action& queueaction(PPR prio, const reaction_t& action);
void queuereset(eModel m, PPR prio);

unsigned char& part(color_t& col, int i);

transmatrix applyPatterndir(cell *c, const patterns::patterninfo& si);

int pattern_threecolor(cell *c);
int fiftyval200(cell *c);

// T * C0, optimized
inline hyperpoint tC0(const transmatrix &T) {
  hyperpoint z;
  for(int i=0; i<MDIM; i++) z[i] = T[i][DIM];
  return z;
  }

transmatrix actualV(const heptspin& hs, const transmatrix& V);
transmatrix cview();
bool isWall3(cell *c, color_t& wcol);
extern transmatrix actual_view_transform, radar_transform;
ld wall_radar(cell *c, transmatrix T);

extern string bitruncnames[5];
extern bool need_mouseh;

void clear_euland(eLand first);

extern eMonster passive_switch;

bool cannotPickupItem(cell *c, bool telekinesis);
bool canPickupItemWithMagnetism(cell *c, cell *from);
void pickupMovedItems(cell *c);
eMonster genRuinMonster(cell *c);

template<class T> void hrandom_shuffle(T* x, int n) {
  for(int k=1; k<n; k++) swap(x[k], x[hrand(k+1)]);
  }

void resetModes(char leave = 'c');
void activateSafety(eLand l);
void showMainMenu();
extern bool nomenukey;
void resetConfig();
void welcomeMessage();
void jumpTo(cell *dest, eItem byWhat, int bonuskill = 0, eMonster dashmon = moNone);
extern bool canmove;

void activateSafety(eLand l);
extern bool childbug;

void fullcenter();
void mainloop();
void clearAnimations();

transmatrix rotmatrix(double rotation, int c0, int c1);

void destroycellcontents(cell *c);
extern heptagon *last_cleared;

template<class T, class U> void eliminate_if(vector<T>& data, U pred) {
  for(int i=0; i<isize(data); i++)
    if(pred(data[i]))
      data[i] = data.back(), data.pop_back(), i--;
  }

bool is_cell_removed(cell *c);
void set_if_removed(cell*& c, cell *val);

struct renderbuffer {
  bool valid;
  int x, y;

  #if CAP_GL
  int tx, ty;
  GLuint FramebufferName;
  GLuint renderedTexture;
  GLuint depth_stencil_rb;
  Uint32 *expanded_data;
  void use_as_texture();
  #endif
  #if CAP_SDL
  SDL_Surface *srf;
  void make_surface();
  SDL_Surface *render();
  #endif
  
  renderbuffer(int x, int y, bool gl);
  ~renderbuffer();
  void enable();
  void clear(color_t col);
  };

extern renderbuffer *floor_textures;

struct resetbuffer {
  GLint drawFboId, readFboId;
  SDL_Surface *sreset;
  resetbuffer();
  void reset();
  };

double randd();

#if CAP_ORIENTATION
transmatrix getOrientation();
#endif

bool showHalloween();
extern bool havesave;
extern vector<msginfo> gamelog;
extern time_t savetime;
extern bool cblind;
extern void save_memory();
namespace inv { void init(); }
extern bool survivalist;
extern bool hauntedWarning;
extern bool usedSafety;

namespace elec { extern int lightningfast; }
extern int lastkills;
extern map<cell*, int> rosemap;
extern int hardcoreAt;
extern flagtype havewhat, hadwhat;
extern int safetyseed;
extern int lastsafety;
extern int knighted;
extern int rosephase;
extern int rosewave;
extern eItem localTreasureType();
extern void clearshadow();
extern bool seenSevenMines;
extern vector<cell*> dcal;   // queue for cpdist
extern vector<cell*> pathq;  // queue for pathdist
extern vector<pair<cell*, int> > butterflies;
extern vector<cell*> crush_now, crush_next;
extern void shrand(int seed);
extern eLand safetyland;
extern int sagephase;
extern int lastsize;
extern int noiseuntil;
hyperpoint cpush0(int d, ld x);
inline hyperpoint xpush0(ld x) { return cpush0(0, x); }
inline hyperpoint ypush0(ld x) { return cpush0(1, x); }
transmatrix xspinpush(ld alpha, ld x);
hyperpoint xspinpush0(ld alpha, ld x);

transmatrix cspin(int a, int b, ld alpha);
transmatrix cpush(int cid, ld alpha);

bool eqmatrix(transmatrix A, transmatrix B, ld eps = 1e-2);
void set_column(transmatrix& T, int i, const hyperpoint& H);

#define DF_INIT              1 // always display these
#define DF_MSG               2 // always display these
#define DF_WARN              4 // always display these
#define DF_ERROR             8 // always display these
#define DF_STEAM            16
#define DF_GRAPH            32
#define DF_TURN             64
#define DF_FIELD           128
#define DF_GEOM            256
#define DF_MEMORY          512
#define DF_TIME           1024 // a flag to display timestamps
#define DF_GP             2048
#define DF_POLY           4096
#define DF_LOG            8192
#define DF_KEYS "imwesxufgbtopl"

#if ISANDROID
#define DEBB(r,x)
#define DEBB0(r,x)
#define DEBBI(r,x)
#else
#define DEBB(r,x) { if(debugflags & (r)) { println_log x; } }
#define DEBB0(r,x) { if(debugflags & (r)) { print_log x; } }
#define DEBBI(r,x) { if(debugflags & (r)) { println_log x; } } indenter_finish _debbi(debugflags & (r));
#endif

extern int debugflags;
int gmod(int i, int j);
int gdiv(int i, int j);
extern walltype winf[walltypes];
extern vector<landtacinfo> land_tac;
string llts(long long i);
void clearMemoRPM();
extern int randompattern[landtypes];
extern int pair_to_vec(int x, int y);
typedef pair<cell**, bool> euc_pointer;
euc_pointer euclideanAt(int vec);
euc_pointer euclideanAtCreate(int vec);
bool isCyclic(eLand l);
bool generateAll(eLand l);
void extendcheck(cell *c);
void extendNowall(cell *c);
bool isbar4(cell *c);
void extendBarrierFront(cell *c);
void extendBarrierBack(cell *c);
void extendCR5(cell *c);

bool mirrorwall(cell *c);
extern void setbarrier(cell *c);
extern function<void()> call_initgame;
extern void initializeCLI();

static const int max_vec = (1<<14);

string helptitle(string s, color_t col);
pair<int, int> cell_to_pair(cell *c);
extern bool nohud, nofps, nomap;

template<class T> array<T, 4> make_array(T a, T b, T c, T d) { array<T,4> x; x[0] = a; x[1] = b; x[2] = c; x[3] = d; return x; }
template<class T> array<T, 3> make_array(T a, T b, T c) { array<T,3> x; x[0] = a; x[1] = b; x[2] = c; return x; }
template<class T> array<T, 2> make_array(T a, T b) { array<T,2> x; x[0] = a; x[1] = b; return x; }

extern cell *lastmountpos[MAXPLAYER];

extern const hyperpoint Hypc;
ld det(const transmatrix& T);
void queuechr(const hyperpoint& h, int size, char chr, color_t col, int frame = 0);

string fts(ld x, int prec = 6);
string fts_fixed(ld x, int prec = 6);

bool model_needs_depth();

hyperpoint hpxy(ld x, ld y);
hyperpoint hpxy3(ld x, ld y, ld z);
ld sqhypot_d(int d, const hyperpoint& h);
ld hypot_d(int d, const hyperpoint& h);
ld dsqhypot_d(int d, const hyperpoint& a, const hyperpoint& b);
ld dhypot_d(int d, const hyperpoint& a, const hyperpoint& b);
transmatrix pushxto0(const hyperpoint& H);
transmatrix rpushxto0(const hyperpoint& H);
transmatrix spintox(const hyperpoint& H);
transmatrix ypush(ld alpha);

#if CAP_SURFACE
namespace surface {

  enum eShape { dsNone, dsTractricoid, dsDini, dsKuen, dsHyperlike, dsHyperboloid, dsHemisphere, dsCrystal };
  extern eShape sh;
  void show_surfaces();
  void run_shape(eShape);
  extern ld hyper_b, dini_b;
  
  }
#endif

struct stringpar {
  string v;
  stringpar(string s) : v(s) { }
  stringpar(const char* s) : v(s) { }
  stringpar(eMonster m) { v= minf[m].name; }
  stringpar(eLand l) { v= linf[l].name; }
  stringpar(eWall w) { v= winf[w].name; }
  stringpar(eItem i) { v= iinf[i].name; }  
  };

string XLAT(string x);
string XLAT(string x, stringpar p1);
string XLAT(string x, stringpar p1, stringpar p2);
string XLAT(string x, stringpar p1, stringpar p2, stringpar p3);
string XLAT(string x, stringpar p1, stringpar p2, stringpar p3, stringpar p4);
string XLAT(string x, stringpar p1, stringpar p2, stringpar p3, stringpar p4, stringpar p5);

namespace gp {
  typedef pair<int, int> loc;

  loc operator+(loc e1, loc e2);
  loc operator-(loc e1, loc e2);
  loc operator*(loc e1, loc e2);
  extern loc eudir(int dir);
  int length(loc p);

  #if CAP_GP
  void compute_geometry();
  void extend_map(cell *c, int d);  
  extern loc param;
  extern int pseudohept_val(cell *);
  extern int last_dir(cell *c);
  extern void configure();

  struct local_info {
    int last_dir;
    loc relative;
    int first_dir;
    int total_dir;
    };

  extern local_info draw_li;
  
  local_info get_local_info(cell *c);
  const char *disp(loc at);

  void be_in_triangle(local_info& li);

  int compute_dist(cell *c, int master_function(cell*));
  
  int solve_triangle(int dmain, int d0, int d1, loc at);

  hyperpoint get_master_coordinates(cell *c);
  loc univ_param();
  #endif
  int dist_1(), dist_2(), dist_3();
  array<heptagon*, 3> get_masters(cell *c);
  extern string operation_name();
  }

int get_sightrange();
int get_sightrange_ambush();

int gamerange();

int numplayers();

bool has_nice_dual();

extern hyperpoint mid(const hyperpoint &h1, const hyperpoint &h2);
void loadNewConfig(FILE *f);

struct supersaver {
  string name;
  virtual string save() = 0;
  virtual void load(const string& s) = 0;
  virtual bool dosave() = 0;
  virtual void reset() = 0;
  virtual ~supersaver() {};
  };

typedef vector<shared_ptr<supersaver>> saverlist;

extern saverlist savers;

string itsh(int i);

#if CAP_CONFIG

template<class T> struct dsaver : supersaver {
  T& val;
  T dft;
  bool dosave() { return val != dft; }
  void reset() { val = dft; }
  dsaver(T& val) : val(val) { }
  };

template<class T> struct saver : dsaver<T> {};

template<class T, class U, class V> void addsaver(T& i, U name, V dft) {
  auto s = make_shared<saver<T>> (i);
  s->dft = dft;
  s->name = name;
  savers.push_back(s);
  }

template<class T> void addsaver(T& i, string name) {
  addsaver(i, name, i);
  }

template<class T> struct saverenum : supersaver {
  T& val;
  T dft;
  bool dosave() { return val != dft; }
  void reset() { val = dft; }
  saverenum<T>(T& v) : val(v) { }
  string save() { return its(int(val)); }
  void load(const string& s) { val = (T) atoi(s.c_str()); }
  };

template<class T, class U> void addsaverenum(T& i, U name, T dft) {
  auto s = make_shared<saverenum<T>> (i);
  s->dft = dft;
  s->name = name;
  savers.push_back(s);
  }

template<class T, class U> void addsaverenum(T& i, U name) {
  addsaverenum(i, name, i);
  }

template<> struct saver<int> : dsaver<int> {
  saver<int>(int& val) : dsaver<int>(val) { }
  string save() { return its(val); }
  void load(const string& s) { val = atoi(s.c_str()); }
  };

template<> struct saver<char> : dsaver<char> {
  saver<char>(char& val) : dsaver<char>(val) { }
  string save() { return its(val); }
  void load(const string& s) { val = atoi(s.c_str()); }
  };

template<> struct saver<bool> : dsaver<bool> {
  saver<bool>(bool& val) : dsaver<bool>(val) { }
  string save() { return val ? "yes" : "no"; }
  void load(const string& s) { val = isize(s) && s[0] == 'y'; }
  };

template<> struct saver<unsigned> : dsaver<unsigned> {
  saver<unsigned>(unsigned& val) : dsaver<unsigned>(val) { }
  string save() { return itsh(val); }
  void load(const string& s) { val = (unsigned) strtoll(s.c_str(), NULL, 16); }
  };

template<> struct saver<string> : dsaver<string> {
  saver<string>(string& val) : dsaver<string>(val) { }
  string save() { return val; }
  void load(const string& s) { val = s; }
  };

template<> struct saver<ld> : dsaver<ld> {
  saver<ld>(ld& val) : dsaver<ld>(val) { }
  string save() { return fts(val, 10); }
  void load(const string& s) { 
    if(s == "0.0000000000e+000") ; // ignore!
    else val = atof(s.c_str()); 
    }
  };

#endif
extern vector<unique_ptr<drawqueueitem>> ptds;
extern ld intval(const hyperpoint &h1, const hyperpoint &h2);
transmatrix euscalezoom(hyperpoint h);
transmatrix euaffine(hyperpoint h);
transmatrix eupush(ld x, ld y);
transmatrix eupush3(ld x, ld y, ld z);
transmatrix eupush(hyperpoint h);
transmatrix rspintox(const hyperpoint& H);
transmatrix gpushxto0(const hyperpoint& H);
transmatrix build_matrix(hyperpoint h1, hyperpoint h2, hyperpoint h3, hyperpoint h4);
hyperpoint normalize(hyperpoint H);
ld signum(ld x);

extern ld hrandf();

namespace glhr {

  struct glmatrix {
    GLfloat a[4][4];
    GLfloat* operator[] (int i) { return a[i]; }
    const GLfloat* operator[] (int i) const { return a[i]; }
    GLfloat* as_array() { return a[0]; }
    const GLfloat* as_array() const { return a[0]; }
    };
  
  enum class shader_projection { standard, band, halfplane, standardH3, standardR3, 
    standardS30, standardS31, standardS32, standardS33, 
    ball, halfplane3, band3, flatten,
    MAX 
    };
  
  extern shader_projection new_shader_projection;
  
  void set_depthtest(bool b);
  glmatrix translate(ld x, ld y, ld z);
  void color2(color_t color, ld scale = 1);
  void be_nontextured(shader_projection sp = new_shader_projection);
  void be_textured(shader_projection sp = new_shader_projection);
  void use_projection(shader_projection sp = new_shader_projection);
  void set_modelview(const glmatrix& m);  
  hyperpoint gltopoint(const glvertex& t);
  glvertex pointtogl(const hyperpoint& t);
  
  inline glvertex makevertex(GLfloat x, GLfloat y, GLfloat z) {
    #if SHDIM == 3
    return make_array(x, y, z);
    #else
    return make_array<GLfloat>(x, y, z, 1);
    #endif
    }
  
  struct colored_vertex {
    glvertex coords;
    glvec4 color;
    colored_vertex(GLfloat x, GLfloat y, GLfloat r, GLfloat g, GLfloat b) {
      coords[0] = x;
      coords[1] = y;
      coords[2] = current_display->scrdist;
      coords[3] = 1;
      color[0] = r;
      color[1] = g;
      color[2] = b;
      color[3] = 1;
      }
    colored_vertex(hyperpoint h, color_t col) {
      coords = pointtogl(h);
      for(int i=0; i<4; i++)
        color[i] = part(col, 3-i) / 255.0;
      }
    };
  
  struct textured_vertex {
    glvertex coords;
    glvec2 texture;
    };
  
  struct ct_vertex {
    glvertex coords;
    glvec4 color;
    glvec2 texture;
    ct_vertex(const hyperpoint& h, ld x1, ld y1, ld col) {
      coords = pointtogl(h);
      texture[0] = x1;
      texture[1] = y1;
      color[0] = color[1] = color[2] = col;
      color[3] = 1;
      }
    };  

  void prepare(vector<textured_vertex>& v);
  void prepare(vector<colored_vertex>& v);
  void prepare(vector<ct_vertex>& v);
  }

void prettypoly(const vector<hyperpoint>& t, color_t fillcol, color_t linecol, int lev);
#if CAP_SHAPES
dqi_poly& queuepolyat(const transmatrix& V, const hpcshape& h, color_t col, PPR prio);
#endif
dqi_poly& queuetable(const transmatrix& V, const vector<glvertex>& f, int cnt, color_t linecol, color_t fillcol, PPR prio);

#if CAP_SHAPES
struct floorshape;

struct qfloorinfo {
  transmatrix spin;
  const hpcshape *shape;
  floorshape *fshape;
  textureinfo *tinf;
  int usershape;
  };

extern qfloorinfo qfi;

struct hpcshape {
  int s, e;
  PPR prio;
  int flags;
  hyperpoint intester;
  basic_textureinfo *tinf;
  int texture_offset;
  int shs, she;
  void clear() { s = e = shs = she = texture_offset = 0; prio = PPR::ZERO; tinf = NULL; flags = 0; }
  };

extern vector<hpcshape> shPlainWall3D, shWireframe3D, shWall3D, shMiniWall3D;
#endif

int fix6(int a);
int fix7(int a);
int fixdir(int a, cell *c);
cell *newCell(int type, heptagon *master);
extern color_t qpixel_pixel_outside;

void queuechr(int x, int y, int shift, int size, char chr, color_t col, int frame = 0, int align = 8);

int zebra3(cell *c);
int geosupport_threecolor();
int geosupport_football();
bool geosupport_chessboard();
bool ishex1(cell *c);
namespace fieldpattern { int fieldval_uniq(cell *c);  int fieldval_uniq_rand(cell *c, int d); }
bool warptype(cell *c);
bool horo_ok();
bool deep_ocean_at(cell *c, cell *from);
int wallchance(cell *c, bool deepOcean);

ld master_to_c7_angle();

extern int mutantphase;
void resize_screen_to(int x, int y);
extern bool canvas_invisible;
extern cell *pd_from;

namespace daily {
  extern bool on;
  extern int daily_id;
  void setup();
  void split();
  void gifts();
  void turnoff();
  void showMenu();
  int find_daily_lbid(int id);
  bool prevent_spawn_treasure_on(cell *c);
  void handleQuit(int sev);
  void uploadscore(bool really_final);
  }

enum eOrbLandRelation { 
  olrForbidden, // never appears: forbidden
  olrDangerous, // never appears: would be dangerous
  olrUseless,   // never appears: useless here
  olrNoPrizes,  // no prizes in this land
  olrNoPrizeOrb,// orb not allowed as a prize
  olrPrize25,   // prize for collecting 25
  olrPrize3,    // prize for collecting 3
  olrNative,    // native orb in this land
  olrNative1,   // native orb in this land (1)
  olrGuest,     // extra orb in this land
  olrPNative,   // Land of Power: native
  olrPBasic,    // Land of Power: basic orbs
  olrPPrized,   // Land of Power: prized orbs
  olrPNever,    // Land of Power: foreign orbs
  olrHub,       // hub lands
  olrMonster,   // available from a monster
  olrAlways,    // always available
  olrBurns      // burns
  };

namespace torusconfig {
  extern int sdx, sdy;
  
  enum eTorusMode : char { 
    tmSingleHex, 
    tmSingle, 
    tmSlantedHex, 
    tmStraight, 
    tmStraightHex,
    tmKlein,
    tmKleinHex,
    tmCylinder,
    tmCylinderHex,
    tmMobius,
    tmMobiusHex,
    };
  
  extern eTorusMode torus_mode;
  extern void activate();

  struct torusmode_info {
    string name;
    flagtype flags;
    };
  
  extern vector<torusmode_info> tmodes;

  enum : flagtype {
    TF_SINGLE = 1,
    TF_SIMPLE = 2,
    TF_WEIRD  = 4,
    TF_HEX    = 16,
    TF_SQUARE = 32,
    TF_CYL    = 64,
    TF_KLEIN = 256,
    };

  flagtype tmflags();
  }

#if CAP_FIELD
namespace fieldpattern {
  extern int current_extra;

  struct primeinfo {
    int p;
    int cells;
    bool squared;
    };  
  
  struct fgeomextra {
    eGeometry base;
    vector<primeinfo> primes;
    int current_prime_id;
    fgeomextra(eGeometry b, int i) : base(b), current_prime_id(i) {}
    };

  extern vector<fgeomextra> fgeomextras;
  extern void enableFieldChange();
  }
#endif

bool incompatible(eLand l1, eLand l2);
eOrbLandRelation getOLR(eItem it, eLand l);

struct plainshape;
void clear_plainshape(plainshape& gsh);
#if CAP_GP
void build_plainshape(plainshape& gsh, gp::local_info& li);
#endif

namespace gp {
  void clear_plainshapes();
  plainshape& get_plainshape();
  }

#if CAP_SHAPES
dqi_poly& queuepoly(const transmatrix& V, const hpcshape& h, color_t col);
dqi_poly& queuepolyat(const transmatrix& V, const hpcshape& h, color_t col, PPR prio);
#endif

void queuestr(const hyperpoint& h, int size, const string& chr, color_t col, int frame = 0);
void queuechr(const transmatrix& V, double size, char chr, color_t col, int frame = 0);

extern bool just_gmatrix;

bool haveLeaderboard(int id);
int get_currentscore(int id);
void set_priority_board(int id);
int get_sync_status();
bool score_loaded(int id);
int score_default(int id);
void handle_event(SDL_Event& ev);

void start_game();
void stop_game();
void switch_game_mode(char switchWhat);

void stop_game_and_switch_mode(char switchWhat = rg::nothing); // stop_game + switch_game_mode
void restart_game(char switchWhat = rg::nothing); // popAllScreens + popAllGames + stop_game + switch_game_mode + start_game

// these work as stop_game_and_switch_mode
void set_variation(eVariation);
void set_geometry(eGeometry);

void generate_floorshapes();
void drawArrowTraps();
void drawBlizzards();

struct blizzardcell;

extern vector<cell*> arrowtraps;
extern map<cell*, blizzardcell> blizzardcells;
extern vector<blizzardcell*> bcells;
void set_blizzard_frame(cell *c, int frameid);

#define SIDE_SLEV 0
#define SIDE_WTS3 3
#define SIDE_WALL 4
#define SIDE_LAKE 5
#define SIDE_LTOB 6
#define SIDE_BTOI 7
#define SIDE_SKY  8
#define SIDE_HIGH 9
#define SIDE_HIGH2 10
#define SIDEPARS  11

#if CAP_SHAPES
struct floorshape {
  bool is_plain;
  int shapeid;
  int id;
  int pstrength; // pattern strength in 3D
  int fstrength; // frame strength in 3D
  PPR prio;
  vector<hpcshape> b, shadow, side[SIDEPARS], gpside[SIDEPARS][MAX_EDGE], levels[SIDEPARS], cone[2];
  floorshape() { prio = PPR::FLOOR; pstrength = fstrength = 10; }
  };

struct plain_floorshape : floorshape {
  ld rad0, rad1;
  void configure(ld r0, ld r1) { rad0 = r0; rad1 = r1; }
  };

// noftype: 0 (shapeid2 is heptagonal or just use shapeid1), 1 (shapeid2 is pure heptagonal), 2 (shapeid2 is Euclidean), 3 (shapeid2 is hexagonal)
struct escher_floorshape : floorshape {
  int shapeid0, shapeid1, noftype, shapeid2;
  ld scale;
  };
#endif

struct usershapelayer {
  vector<hyperpoint> list;
  bool sym;
  int rots;
  color_t color;
  hyperpoint shift, spin;
  ld zlevel;
  int texture_offset;
  PPR prio;
  };

static const int USERLAYERS = 32;

struct usershape { usershapelayer d[USERLAYERS]; };

extern array<map<int, usershape*>, mapeditor::USERSHAPEGROUPS> usershapes;
void initShape(int sg, int id);

extern int usershape_changes;

struct geometry_information {

  /* basic geometry parameters */

  // tessf: distance from heptagon center to another heptagon center
  // hexf: distance from heptagon center to small heptagon vertex
  // hcrossf: distance from heptagon center to big heptagon vertex
  // crossf: distance from heptagon center to adjacent cell center (either hcrossf or tessf)
  // hexhexdist: distance between adjacent hexagon vertices
  // hexvdist: distance between hexagon vertex and hexagon center
  // hepvdist: distance between heptagon vertex and hexagon center (either hcrossf or something else)
  // rhexf: distance from heptagon center to heptagon vertex (either hexf or hcrossf)
  ld tessf, crossf, hexf, hcrossf, hexhexdist, hexvdist, hepvdist, rhexf;

  transmatrix heptmove[MAX_EDGE], hexmove[MAX_EDGE];
  transmatrix invheptmove[MAX_EDGE], invhexmove[MAX_EDGE];

  int base_distlimit;

  /* shape parameters */
  ld sword_size;
  ld scalefactor, orbsize, floorrad0, floorrad1, zhexf;
  ld corner_bonus;
  ld hexshift;
  ld asteroid_size[8];
  ld wormscale;
  ld tentacle_length;
  
  /* 3D parameters */
  ld INFDEEP, BOTTOM, HELLSPIKE, LAKE, WALL, FLOOR, STUFF,
    SLEV[4], FLATEYE,
    LEG0, LEG1, LEG, LEG3, GROIN, GROIN1, GHOST,
    BODY, BODY1, BODY2, BODY3,
    NECK1, NECK, NECK3, HEAD, HEAD1, HEAD2, HEAD3,
    ALEG0, ALEG, ABODY, AHEAD, BIRD, LOWSKY, SKY, HIGH, HIGH2;
  ld human_height, slev;

  ld eyelevel_familiar, eyelevel_human, eyelevel_dog;

#if CAP_SHAPES
hpcshape 
  shSemiFloorSide[SIDEPARS],
  shBFloor[2],
  shWave[8][2],  
  shCircleFloor,
  shBarrel,
  shWall[2], shMineMark[2], shBigMineMark[2], shFan,
  shZebra[5],
  shSwitchDisk,
  shTower[11],
  shEmeraldFloor[6],
  shSemiFeatherFloor[2], 
  shSemiFloor[2], shSemiBFloor[2], shSemiFloorShadow,
  shMercuryBridge[2],
  shTriheptaSpecial[14], 
  shCross, shGiantStar[2], shLake, shMirror,
  shHalfFloor[6], shHalfMirror[3],
  shGem[2], shStar, shDisk, shDiskT, shDiskS, shDiskM, shDiskSq, shRing,   
  shTinyBird, shTinyShark,
  shEgg,
  shSpikedRing, shTargetRing, shSawRing, shGearRing, shPeaceRing, shHeptaRing,
  shSpearRing, shLoveRing,
  shDaisy, shTriangle, shNecro, shStatue, shKey, shWindArrow,
  shGun,
  shFigurine, shTreat,
  shElementalShard,
  // shBranch, 
  shIBranch, shTentacle, shTentacleX, shILeaf[2], 
  shMovestar,
  shWolf, shYeti, shDemon, shGDemon, shEagle, shGargoyleWings, shGargoyleBody,
  shFoxTail1, shFoxTail2,
  shDogBody, shDogHead, shDogFrontLeg, shDogRearLeg, shDogFrontPaw, shDogRearPaw,
  shDogTorso,
  shHawk,
  shCatBody, shCatLegs, shCatHead, shFamiliarHead, shFamiliarEye,
  shWolf1, shWolf2, shWolf3,
  shRatEye1, shRatEye2, shRatEye3,
  shDogStripes,
  shPBody, shPSword, shPKnife,
  shFerocityM, shFerocityF, 
  shHumanFoot, shHumanLeg, shHumanGroin, shHumanNeck, shSkeletalFoot, shYetiFoot,
  shMagicSword, shMagicShovel, shSeaTentacle, shKrakenHead, shKrakenEye, shKrakenEye2,
  shArrow,
  shPHead, shPFace, shGolemhead, shHood, shArmor, 
  shAztecHead, shAztecCap,
  shSabre, shTurban1, shTurban2, shVikingHelmet, shRaiderHelmet, shRaiderArmor, shRaiderBody, shRaiderShirt,
  shWestHat1, shWestHat2, shGunInHand,
  shKnightArmor, shKnightCloak, shWightCloak,
  shGhost, shEyes, shSlime, shJelly, shJoint, shWormHead, shTentHead, shShark, shWormSegment, shSmallWormSegment, shWormTail, shSmallWormTail,
  shSlimeEyes, shDragonEyes, shWormEyes, shGhostEyes,
  shMiniGhost, shMiniEyes,
  shHedgehogBlade, shHedgehogBladePlayer,
  shWolfBody, shWolfHead, shWolfLegs, shWolfEyes,
  shWolfFrontLeg, shWolfRearLeg, shWolfFrontPaw, shWolfRearPaw,
  shFemaleBody, shFemaleHair, shFemaleDress, shWitchDress,
  shWitchHair, shBeautyHair, shFlowerHair, shFlowerHand, shSuspenders, shTrophy,
  shBugBody, shBugArmor, shBugLeg, shBugAntenna,
  shPickAxe, shPike, shFlailBall, shFlailTrunk, shFlailChain, shHammerHead,
  shBook, shBookCover, shGrail,
  shBoatOuter, shBoatInner, shCompass1, shCompass2, shCompass3,
  shKnife, shTongue, shFlailMissile, shTrapArrow,
  shPirateHook, shPirateHood, shEyepatch, shPirateX,
  // shScratch, 
  shHeptaMarker, shSnowball, shSun, shNightStar, shEuclideanSky,
  shSkeletonBody, shSkull, shSkullEyes, shFatBody, shWaterElemental,
  shPalaceGate, shFishTail,
  shMouse, shMouseLegs, shMouseEyes,
  shPrincessDress, shPrinceDress,
  shWizardCape1, shWizardCape2,
  shBigCarpet1, shBigCarpet2, shBigCarpet3,
  shGoatHead, shRose, shRoseItem, shThorns,
  shRatHead, shRatTail, shRatEyes, shRatCape1, shRatCape2,
  shWizardHat1, shWizardHat2,
  shTortoise[13][6],
  shDragonLegs, shDragonTail, shDragonHead, shDragonSegment, shDragonNostril, 
  shDragonWings, 
  shSolidBranch, shWeakBranch, shBead0, shBead1,
  shBatWings, shBatBody, shBatMouth, shBatFang, shBatEye,
  shParticle[16], shAsteroid[8],
  shReptile[5][4],
  shReptileBody, shReptileHead, shReptileFrontFoot, shReptileRearFoot,
  shReptileFrontLeg, shReptileRearLeg, shReptileTail, shReptileEye,

  shTrylobite, shTrylobiteHead, shTrylobiteBody,
  shTrylobiteFrontLeg, shTrylobiteRearLeg, shTrylobiteFrontClaw, shTrylobiteRearClaw,
  
  shBullBody, shBullHead, shBullHorn, shBullRearHoof, shBullFrontHoof,
  
  shButterflyBody, shButterflyWing, shGadflyBody, shGadflyWing, shGadflyEye,

  shTerraArmor1, shTerraArmor2, shTerraArmor3, shTerraHead, shTerraFace, 
  shJiangShi, shJiangShiDress, shJiangShiCap1, shJiangShiCap2,
  
  shAsymmetric,
  
  shPBodyOnly, shPBodyArm, shPBodyHand, shPHeadOnly,
  
  shAnimatedEagle[30], shAnimatedTinyEagle[30], shAnimatedGadfly[30], shAnimatedHawk[30], shAnimatedButterfly[30], 
  shAnimatedGargoyle[30], shAnimatedGargoyle2[30], shAnimatedBat[30], shAnimatedBat2[30],
  
  shDodeca;

  vector<hpcshape> shPlainWall3D, shWireframe3D, shWall3D, shMiniWall3D;

  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, shCloudFloor, shCrossFloor, shChargedFloor,
    shSStarFloor, shOverFloor, shTriFloor, shFeatherFloor,
    shBarrowFloor, shNewFloor, shTrollFloor, shButterflyFloor,
    shLavaFloor, shLavaSeabed, shSeabed, shCloudSeabed,
    shCaveSeabed, shPalaceFloor, shDemonFloor, shCaveFloor,
    shDesertFloor, shPowerFloor, shRoseFloor, shSwitchFloor,
    shTurtleFloor, shRedRockFloor[3], shDragonFloor;

  ld dlow_table[SIDEPARS], dhi_table[SIDEPARS], dfloor_table[SIDEPARS];

  int prehpc;
  vector<hyperpoint> hpc;
  bool first;

  bool validsidepar[SIDEPARS];

  vector<glvertex> ourshape;
#endif  

  hpcshape shFullCross[2];
  hpcshape *last;

  int SD3, SD6, SD7, S12, S14, S21, S28, S42, S36, S84;
  
  vector<array<int, 3>> symmetriesAt;
  
  #ifndef SCALETUNER
  static constexpr
  #endif
  double bscale7 = 1, brot7 = 0, bscale6 = 1, brot6 = 0;
  
  vector<hpcshape*> allshapes;
  
  transmatrix shadowmulmatrix;
  
  map<usershapelayer*, hpcshape> ushr;
  
  void prepare_basics();
  void prepare_compute3();
  void prepare_shapes();
  void prepare_usershapes();

  void hpcpush(hyperpoint h);
  void hpcsquare(hyperpoint h1, hyperpoint h2, hyperpoint h3, hyperpoint h4);
  void chasmifyPoly(double fac, double fac2, int k);
  void shift(hpcshape& sh, double dx, double dy, double dz);
  void initPolyForGL();
  void extra_vertices();
  transmatrix ddi(int a, ld x);
  void drawTentacle(hpcshape &h, ld rad, ld var, ld divby);
  hyperpoint hpxyzsc(double x, double y, double z);
  hyperpoint turtlevertex(int u, double x, double y, double z);
  
  void bshape(hpcshape& sh, PPR prio);
  void finishshape();
  void bshape(hpcshape& sh, PPR prio, double shzoom, int shapeid, double bonus = 0, flagtype flags = 0);
  
  void copyshape(hpcshape& sh, hpcshape& orig, PPR prio);
  void zoomShape(hpcshape& old, hpcshape& newsh, double factor, PPR prio);
  void pushShape(usershapelayer& ds);
  void make_sidewalls();
  void procedural_shapes();
  void make_wall(int id, vector<hyperpoint> vertices, bool force_triangles = false);
  void create_wall3d();
  void configure_floorshapes();
  
  void init_floorshapes();
  void bshape2(hpcshape& sh, PPR prio, int shapeid, struct matrixlist& m);
  void bshape_regular(floorshape &fsh, int id, int sides, int shift, ld size);
  void generate_floorshapes_for(int id, cell *c, int siid, int sidir);
  void generate_floorshapes();
  void make_floor_textures_here();

  vector<hyperpoint> get_shape(hpcshape sh);
  void add_cone(ld z0, const vector<hyperpoint>& vh, ld z1);
  void add_prism_sync(ld z0, vector<hyperpoint> vh0, ld z1, vector<hyperpoint> vh1);
  void add_prism(ld z0, vector<hyperpoint> vh0, ld z1, vector<hyperpoint> vh1);
  void shift_last(ld z);
  void shift_shape(hpcshape& sh, ld z);
  void shift_shape_orthogonally(hpcshape& sh, ld z);
  void add_texture(hpcshape& sh);
  void make_ha_3d(hpcshape& sh, bool isarmor, ld scale);
  void make_humanoid_3d(hpcshape& sh);
  void addtri(array<hyperpoint, 3> hs, int kind);
  void make_armor_3d(hpcshape& sh, int kind = 1); 
  void make_foot_3d(hpcshape& sh);
  void make_head_only();
  void make_head_3d(hpcshape& sh);
  void make_paw_3d(hpcshape& sh, hpcshape& legsh);
  void make_abody_3d(hpcshape& sh, ld tail);
  void make_ahead_3d(hpcshape& sh);
  void make_skeletal(hpcshape& sh, ld push = 0);
  void make_revolution(hpcshape& sh, int mx = 180, ld push = 0);
  void make_revolution_cut(hpcshape &sh, int each = 180, ld push = 0, ld width = 99);
  void clone_shape(hpcshape& sh, hpcshape& target);
  void animate_bird(hpcshape& orig, hpcshape animated[30], ld body);
  void slimetriangle(hyperpoint a, hyperpoint b, hyperpoint c, ld rad, int lev);
  void balltriangle(hyperpoint a, hyperpoint b, hyperpoint c, ld rad, int lev);
  void make_ball(hpcshape& sh, ld rad, int lev);
  void make_star(hpcshape& sh, ld rad);
  void make_euclidean_sky();
  void adjust_eye(hpcshape& eye, hpcshape head, ld shift_eye, ld shift_head, int q, ld zoom=1);
  void shift_last_straight(ld z);
  void queueball(const transmatrix& V, ld rad, color_t col, eItem what);
  void make_shadow(hpcshape& sh);
  void make_3d_models();
  
  /* Goldberg parameters */
  #if CAP_GP
  struct gpdata_t {
    transmatrix Tf[MAX_EDGE][32][32][6];
    transmatrix corners;
    ld alpha;
    int area;
    };
  shared_ptr<gpdata_t> gpdata;
  #endif
  
  int state;
  int usershape_state;
  
  geometry_information() { last = NULL; state = usershape_state = 0; gpdata = NULL; }
  
  void require_basics() { if(state & 1) return; state |= 1; prepare_basics(); }
  void require_shapes() { if(state & 2) return; state |= 2; prepare_shapes(); }
  void require_usershapes() { if(usershape_state == usershape_changes) return; usershape_state = usershape_changes; prepare_usershapes(); }
  };

#if MAXMDIM >= 4
void make_floor_textures();
#endif

extern map<string, geometry_information> cgis;
extern geometry_information *cgip;
void check_cgi();
#define cgi (*cgip)  

#if ISMOBILE
bool buttonclicked;
void gdpush(int t);
#endif

extern int fontscale;

bool confusingGeometry();

int revhint(cell *c, int hint);

extern int pathlock;
extern void computePathdist(eMonster m);
extern void onpath(cell *c, int d);
extern void clear_pathdata();

struct pathdata {
  void checklock() { 
    if(pd_from) pd_from = NULL, clear_pathdata();
    if(pathlock) printf("path error\n"); 
    pathlock++; 
    }
  ~pathdata() {
    pathlock--;
    clear_pathdata();
    }
  pathdata(eMonster m) { 
    checklock();
    computePathdist(m); 
    }
  pathdata(int i) { 
    checklock();
    }
  };

extern int timetowait;

extern vector<pair<cell*, int> > airmap;
extern void compute_graphical_distance();

struct help_extension {
  char key;
  string text;
  string subtext;
  color_t color;
  reaction_t action;
  help_extension() { color = forecolor; }
  help_extension(char k, string t, reaction_t a) : key(k), text(t), action(a) { color = forecolor; }
  };

extern vector<help_extension> help_extensions;

namespace gamestack {
  bool pushed();
  void push();
  void pop();
  }

namespace geom3 {
  void switch_always3();
  void switch_fpp();
  void switch_tpp();
  }

void queuestr(const transmatrix& V, double size, const string& chr, color_t col, int frame = 0, int align = 8);
void queuestr(int x, int y, int shift, int size, string str, color_t col, int frame = 0, int align = 8);

ld frac(ld x);

extern color_t poly_outline;

extern std::mt19937 hrngen;

bool anglestraight(cell *c, int d1, int d2);

hyperpoint randomPointIn(int t);

bool compute_relamatrix(cell *src, cell *tgt, int direction_hint, transmatrix& T);

extern bool noshadow, bright, nohelp, dont_face_pc;
extern void switchHardcore();

extern bool shaderside_projection;

namespace ors {
  extern int mode;
  extern string choices[];
  void show();
  void apply();
  void check_orientation();
  void unrotate(transmatrix& T);
  void rerotate(transmatrix& T);
  void reset();
  }

bool saved_tortoise_on(cell *c);

#define RING(i) for(double i=0; i<=cgi.S84+1e-6; i+=SD3 * pow(.5, vid.linequality))
#define REVRING(i) for(double i=cgi.S84; i>=-1e-6; i-=SD3 * pow(.5, vid.linequality))
#define PRING(i) for(double i=0; i<=cgi.S84+1e-6; i+= pow(.5, vid.linequality))
#define REVPRING(i) for(double i=cgi.S84; i>=-1e-6; i-=pow(.5, vid.linequality))
#if CAP_BT

namespace binary {
  transmatrix parabolic(ld u);
  transmatrix parabolic3(ld u, ld v);
  extern ld btrange, btrange_cosh;
  hrmap *new_map();
  hrmap *new_alt_map(heptagon *o);
  hyperpoint get_horopoint(ld y, ld x);
  hyperpoint get_horopoint3(ld y, ld x, ld z);
  hyperpoint get_horopoint(hyperpoint h);
  }
#endif

#if MAXMDIM == 4
namespace euclid3 {
  hrmap* new_map();
  void draw();
  int dist_relative(cell *c);
  void build_torus3();
  void clear_torus3();
  void show_torus3();
  }

namespace reg3 {
  void generate();
  hrmap* new_map();
  extern vector<hyperpoint> cellshape;
  int celldistance(cell *c1, cell *c2);
  bool pseudohept(cell *c);
  inline short& altdist(heptagon *h) { return h->emeraldval; }
  extern transmatrix spins[12], adjmoves[12];
  int bucketer(hyperpoint h);
  extern bool dirs_adjacent[16][16];
  cellwalker strafe(cellwalker cw, int j);
  }
#endif

namespace arcm {
  #if CAP_ARCM

  struct archimedean_tiling {
  
    int coloring;
  
    string symbol;
    
    vector<int> faces;
    vector<int> adj;
    vector<bool> invert;
    vector<int> nflags;
  
    bool have_ph, have_line, have_symmetry;
    int real_faces;
    int real_face_type;
  
    int repetition;
    int N;
  
    ld euclidean_angle_sum;
  
    vector<int> flags;
  
    vector<vector<pair<int, int>>> adjacent;
    vector<vector<pair<ld, ld>>> triangles;
    
    void make_match(int a, int i, int b, int j);
    void prepare();
    void compute_geometry();
    
    void parse();
    void parse(string s) { symbol = s; parse(); }
  
    ld edgelength;
    
    vector<ld> inradius, circumradius, alphas;
    
    int matches[30][30];
    int periods[30];
    int tilegroup[30], groupoffset[30], tilegroups;
  
    int errors;
    string errormsg;
  
    pair<int, int>& get_adj(heptagon *h, int cid);
    pair<int, int>& get_adj(heptspin hs) { return get_adj(hs.at, hs.spin); }
    pair<ld, ld>& get_triangle(heptagon *h, int cid);
    pair<ld, ld>& get_triangle(heptspin hs) { return get_triangle(hs.at, hs.spin); }
    pair<ld, ld>& get_triangle(const pair<int, int>& p, int delta = 0);
    pair<int, int>& get_adj(const pair<int, int>& p, int delta = 0);
  
    int support_threecolor();
    int support_threecolor_bitruncated();
    int support_football();
    bool support_chessboard();
    void regroup();
    string world_size();
    
    eGeometryClass get_class();
    
    ld scale();
    };
  
  extern archimedean_tiling current;
  
  extern map<heptagon*, pair<heptagon*, transmatrix>> archimedean_gmatrix;

  void initialize(heptagon *root);
  short& id_of(heptagon *);
  int fix(heptagon *h, int spin);
  #endif
  }

namespace crystal {
  #if CAP_CRYSTAL
  static const int MAXDIM = 7;
  typedef array<int, MAXDIM> coord;
  static const coord c0 = {};
  
  typedef array<ld, MAXDIM> ldcoord;
  static const ldcoord ldc0 = {};

  heptagon *get_heptagon_at(coord c);
  coord get_coord(heptagon *h);
  ldcoord get_ldcoord(cell *c);
  
  extern colortable coordcolors;
  extern ld compass_probability;
  extern bool view_coordinates;
  color_t colorize(cell *c);
  int precise_distance(cell *c1, cell *c2);
  ld space_distance(cell *c1, cell *c2);
  hrmap *new_map();
  void build_rugdata();
  void apply_rotation(const transmatrix t);
  void switch_z_coordinate();
  void next_home_orientation();
  void flip_z();
  void set_land(cell *c);
  int dist_alt(cell *c);
  int dist_relative(cell *c);
  void show();
  void init_rotation();
  string get_table_volume();
  string get_table_boundary();
  bool pure();
  ld compass_angle();
  string compass_help();
  void may_place_compass(cell *c);
  void centerrug(ld aspd);
  vector<cell*> build_shortest_path(cell *c1, cell *c2);
  #endif
  }

hyperpoint get_warp_corner(cell *c, int cid);
hyperpoint get_corner_position(cell *c, int cid, ld cf = 3);

int decodeId(heptagon* h);
heptagon* encodeId(int id);

void virtualRebaseSimple(heptagon*& base, transmatrix& at);

extern bool game_active, playerfound;

string bygen(reaction_t h);

#if CAP_URL
void open_url(string s);
#endif

// HyperRogue streams

struct hstream {
  virtual void write_char(char c) = 0;
  virtual void write_chars(const char* c, size_t q) { while(q--) write_char(*(c++)); }
  virtual char read_char() = 0;
  virtual void read_chars(char* c, size_t q) { while(q--) *(c++) = read_char(); }
  virtual color_t get_vernum() { return VERNUM_HEX; }

  template<class T> void write(const T& t) { hwrite(*this, t); }
  template<class T> void read(T& t) { hread(*this, t); }
  template<class T> T get() { T t; hread(*this, t); return t; }
  template<class T> T get_raw() { T t; hread_raw(*this, t); return t; }
  };

template<class T> void hwrite_raw(hstream& hs, const T& c) { hs.write_chars((char*) &c, sizeof(T)); }
template<class T> void hread_raw(hstream& hs, T& c) { hs.read_chars((char*) &c, sizeof(T)); }

template<class T, typename = typename std::enable_if<std::is_integral<T>::value || std::is_enum<T>::value>::type> void hwrite(hstream& hs, const T& c) { hwrite_raw(hs, c); }
template<class T, typename = typename std::enable_if<std::is_integral<T>::value || std::is_enum<T>::value>::type> void hread(hstream& hs, T& c) { hread_raw(hs, c); }

inline void hwrite(hstream& hs, const string& s) { hs.write_char(isize(s)); for(char c: s) hs.write_char(c); }  
inline void hread(hstream& hs, string& s) { s = ""; int l = (unsigned char) hs.read_char(); for(int i=0; i<l; i++) s += hs.read_char(); }
inline void hwrite(hstream& hs, const ld& h) { double d = h; hs.write_chars((char*) &d, sizeof(double)); }
inline void hread(hstream& hs, ld& h) { double d; hs.read_chars((char*) &d, sizeof(double)); h = d; }
  
template<class T, size_t X> void hwrite(hstream& hs, const array<T, X>& a) { for(auto &ae: a) hwrite(hs, ae); }
template<class T, size_t X> void hread(hstream& hs, array<T, X>& a) { for(auto &ae: a) hread(hs, ae); }

inline void hread(hstream& hs, hyperpoint& h) { for(int i=0; i<MDIM; i++) hread(hs, h[i]); }
inline void hwrite(hstream& hs, hyperpoint h) { for(int i=0; i<MDIM; i++) hwrite(hs, h[i]); }

template<class T> void hwrite(hstream& hs, const vector<T>& a) { hwrite<int>(hs, isize(a)); for(auto &ae: a) hwrite(hs, ae); }
template<class T> void hread(hstream& hs, vector<T>& a) { a.resize(hs.get<int>()); for(auto &ae: a) hread(hs, ae); }

template<class T, class U> void hwrite(hstream& hs, const map<T,U>& a) { 
  hwrite<int>(hs, isize(a)); for(auto &ae: a) hwrite(hs, ae.first, ae.second);
  }
template<class T, class U> void hread(hstream& hs, map<T,U>& a) { 
  a.clear();
  int N = hs.get<int>();
  for(int i=0; i<N; i++) {
    T key; hread(hs, key);
    hread(hs, a[key]);
    }
  }

template<class C, class C1, class... CS> void hwrite(hstream& hs, const C& c, const C1& c1, const CS&... cs) { hwrite(hs, c); hwrite(hs, c1, cs...); }
template<class C, class C1, class... CS> void hread(hstream& hs, C& c, C1& c1, CS&... cs) { hread(hs, c); hread(hs, c1, cs...); }

struct hstream_exception : hr_exception { hstream_exception() {} };

struct fhstream : hstream {
  color_t vernum;
  virtual color_t get_vernum() override { return vernum; }
  FILE *f;
  virtual void write_char(char c) override { write_chars(&c, 1); }
  virtual void write_chars(const char* c, size_t i) override { if(fwrite(c, i, 1, f) != 1) throw hstream_exception(); }
  virtual void read_chars(char* c, size_t i) override { if(fread(c, i, 1, f) != 1) throw hstream_exception(); }
  virtual char read_char() override { char c; read_chars(&c, 1); return c; }
  fhstream() { f = NULL; vernum = VERNUM_HEX; }
  fhstream(const string pathname, const char *mode) { f = fopen(pathname.c_str(), mode); vernum = VERNUM_HEX; }
  ~fhstream() { if(f) fclose(f); }
  };

struct shstream : hstream { 
  string s;
  int pos;
  shstream() { pos = 0; }
  virtual void write_char(char c) { s += c; }
  virtual char read_char() { if(pos == isize(s)) throw hstream_exception(); return s[pos++]; }
  };

inline void print(hstream& hs) {}

template<class... CS> string sprint(const CS&... cs) { shstream hs; print(hs, cs...); return hs.s; }

template<class C, class C1, class... CS> void print(hstream& hs, const C& c, const C1& c1, const CS&... cs) { print(hs, c); print(hs, c1, cs...); }

template<class... CS> void println(hstream& hs, const CS&... cs) { print(hs, cs...); hs.write_char('\n'); }

inline string spaced(int i) { return its(i); }
inline string spaced(color_t col) { return itsh8(col); }
inline string spaced(const string& s) { return s; }
inline string spaced(ld x) { return fts(x, 10); }
template<class T> string spaced_of(T a[], int q) { string s = spaced(a[0]); for(int i=1; i<q; i++) s += ' ', s += spaced(a[i]); return s; }
template<class T, int i> string spaced(const array<T,i>& a) { return spaced_of(&a[0], isize(a)); }
template<class C, class C1, class... CS> string spaced(const C& c, const C1& c1, const CS&... cs) { return spaced(c) + " " + spaced(c1, cs...); }

bool scan(fhstream& hs, int&);
bool scan(fhstream& hs, ld&);
bool scan(fhstream& hs, string&);
bool scan(fhstream& hs, color_t& c);
template<class C, class C1, class... CS> bool scan(fhstream& hs, C& c, C1& c1, CS&... cs) { return scan(hs, c) && scan(hs, c1, cs...); }

string scanline(fhstream& hs);
template<class T> T scan(fhstream& hs) { T t {}; scan(hs, t); return t; }

// copied from: https://stackoverflow.com/questions/16387354/template-tuple-calling-a-function-on-each-element

namespace detail
{
    template<int... Is>
    struct seq { };

    template<int N, int... Is>
    struct gen_seq : gen_seq<N - 1, N - 1, Is...> { };

    template<int... Is>
    struct gen_seq<0, Is...> : seq<Is...> { };

    template<typename T, typename F, int... Is>
    void for_each(T&& t, F f, seq<Is...>)
    {
        auto l = { (f(std::get<Is>(t)), 0)... }; ignore(l);
    }
}

template<typename... Ts, typename F>
void for_each_in_tuple(std::tuple<Ts...> const& t, F f)
{
    detail::for_each(t, f, detail::gen_seq<sizeof...(Ts)>());
}

inline void print(hstream& hs, const string& s) { hs.write_chars(s.c_str(), isize(s)); }
inline void print(hstream& hs, int i) { print(hs, its(i)); }
inline void print(hstream& hs, ld x) { print(hs, fts(x)); }
inline void print(hstream& hs, color_t col) { print(hs, itsh8(col)); }

template<class T> void print(hstream& hs, const walker<T>& w) { print(hs, "[", w.at, "/", w.spin, "/", w.mirrored, "]"); }

struct comma_printer {
  bool first;
  hstream& hs;
  template<class T> void operator() (const T& t) { if(first) first = false; else print(hs, ","); print(hs, t); }
  comma_printer(hstream& hs) : first(true), hs(hs) {}
  };

template<class T, size_t X> void print(hstream& hs, const array<T, X>& a) { print(hs, "("); comma_printer c(hs); for(const T& t: a) c(t); print(hs, ")"); }
template<class T> void print(hstream& hs, const vector<T>& a) { print(hs, "("); comma_printer c(hs); for(const T& t: a) c(t); print(hs, ")"); }

inline void print(hstream& hs, const hyperpoint h) { print(hs, (const array<ld, MAXMDIM>&)h); }
inline void print(hstream& hs, const transmatrix T) { 
  print(hs, "("); comma_printer c(hs);
  for(int i=0; i<MDIM; i++)
  for(int j=0; j<MDIM; j++) c(T[i][j]);
  print(hs, ")"); }

template<class T, class U> void print(hstream& hs, const pair<T, U> & t) { print(hs, "(", t.first, ",", t.second, ")"); }

template<class... T> void print(hstream& hs, const tuple<T...> & t) { 
  print(hs, "(");
  comma_printer p(hs);
  for_each_in_tuple(t, p);
  print(hs, ")");
  }

#ifndef SPECIAL_LOGGER
inline void special_log(char c) { putchar(c); }
#endif

struct logger : hstream {
  int indentation;
  bool doindent;
  logger() { doindent = false; }
  virtual void write_char(char c) { if(doindent) { doindent = false; 
    if(debugflags & DF_TIME) { int t = SDL_GetTicks(); if(t < 0) t = 999999; t %= 1000000; string s = its(t); while(isize(s) < 6) s = "0" + s; for(char c: s) special_log(c); special_log(' '); }
    for(int i=0; i<indentation; i++) special_log(' '); } special_log(c); if(c == 10) doindent = true; }
  virtual char read_char() { throw hstream_exception(); }
  };

extern logger hlog;
template<class... T> void println_log(T... t) { println(hlog, t...); }
template<class... T> void print_log(T... t) { print(hlog, t...); }

#ifdef __GNUC__
__attribute__((__format__ (__printf__, 1, 2)))
#endif
inline string format(const char *fmt, ...) {
  char buf[1000];
  va_list ap;
  va_start(ap, fmt);
  vsnprintf(buf, 1000, fmt, ap);
  va_end(ap);
  return buf;
  }

inline void print(hstream& hs, heptagon* h) { print(hs, format("H%p", h)); }
inline void print(hstream& hs, cell* h) { print(hs, format("C%p", h)); }

inline void print(hstream& hs, cellwalker cw) { 
  if(cw.at) print(hs, "[", cw.at, "/", cw.at->type, ":", cw.spin, ":", cw.mirrored, "]");
  else print(hs, "[NULL]");
  }

struct indenter {
  dynamicval<int> ind;
  
  indenter(int i = 2) : ind(hlog.indentation, hlog.indentation + (i)) {}
  };

struct indenter_finish : indenter {
  indenter_finish(bool b): indenter(b ? 2:0) {}
  ~indenter_finish() { if(hlog.indentation != ind.backup) println(hlog, "(done)"); }
  };

void appendHelp(string s);

transmatrix rspintox(const hyperpoint& H);

extern bool playermoved;

extern int tidalsize;
extern void calcTidalPhase();

void curvepoint(const hyperpoint& H1);
dqi_poly& queuecurve(color_t linecol, color_t fillcol, PPR prio);
void queueball(const transmatrix& V, ld rad, color_t col, eItem what);

ld cos_auto(ld x);
ld sin_auto(ld x);
ld tan_auto(ld x);
ld asin_auto(ld x);
ld atan_auto(ld x);
ld atan2_auto(ld x);
ld atan2(hyperpoint h);

namespace anims {
  #if CAP_ANIMATIONS
  void apply();
  void rollback();
  void show();
  bool any_on();
  bool any_animation();
  bool center_music();
  
  extern string animfile;
  
  extern int noframes;
  extern ld period, cycle_length, parabolic_length, rug_angle, circle_radius, circle_spins;
  #else
  static bool any_on() { return false; }
  static void rollback() { }
  static bool center_music() { return false; }
  static bool any_animation() { return false; }
  static void apply() { }
  #endif
  }

#if CAP_STARTANIM
namespace startanims {
  extern reaction_t current;  
  void pick();
  }
#endif

extern int animation_lcm;
extern ld animation_factor;
ld parseld(const string& s);
pair<int, int> vec_to_pair(int vec);

struct bignum {
  static const int BASE = 1000000000;
  static const long long BASE2 = BASE * (long long)BASE;
  vector<int> digits;
  bignum() {}
  bignum(int i) : digits() { digits.push_back(i); }
  void be(int i) { digits.resize(1); digits[0] = i; }
  bignum& operator +=(const bignum& b);
  void addmul(const bignum& b, int factor);
  string get_str(int max_length);
  
  bool operator < (const bignum&) const;

  ld leading() const {
    switch(isize(digits)) {
      case 0:
        return 0;
      case 1:
        return digits.back();
      default:
        return digits.back() + ld(digits[isize(digits)-2]) / BASE;
      }
    }

  ld approx() const {
    return leading() * pow(BASE, isize(digits) - 1);
    }
  
  ld log_approx() const {
    return log(leading()) * log(BASE) * (isize(digits) - 1);
    }
  
  ld operator / (const bignum& b) const {
    return leading() / b.leading() * pow(BASE, isize(digits) - isize(b.digits));
    }
  
  int approx_int() const {
    if(isize(digits) > 1) return BASE;
    if(digits.empty()) return 0;
    return digits[0];
    }
  
  long long approx_ll() const {
    if(isize(digits) > 2) return BASE2;
    if(digits.empty()) return 0;
    if(isize(digits) == 1) return digits[0];
    return digits[0] + digits[1] * (long long) BASE;
    }
  
  friend inline bignum operator +(bignum a, const bignum& b) { a.addmul(b, 1); return a; }
  friend inline bignum operator -(bignum a, const bignum& b) { a.addmul(b, -1); return a; }
  };

struct expansion_analyzer {
  vector<int> gettype(cell *c);
  int N;
  vector<cell*> samples;  
  map<vector<int>, int> codeid;  
  vector<vector<int> > children;  
  int rootid, diskid;
  int coefficients_known;
  vector<int> coef;
  int valid_from, tested_to;
  ld growth;
  
  int sample_id(cell *c);
  void preliminary_grouping();
  void reduce_grouping();
  vector<vector<bignum>> descendants;
  bignum& get_descendants(int level);
  bignum& get_descendants(int level, int type);
  void find_coefficients();
  void reset();
  
  expansion_analyzer() { reset(); }

  string approximate_descendants(int d, int max_length);
  void view_distances_dialog();
  ld get_growth();

  private:
  bool verify(int id);
  int valid(int v, int step);
  };

extern expansion_analyzer expansion;

int towerval(cell *c, const cellfunction& cf);

int parent_id(cell *c, int which, const cellfunction& cf);

extern int sibling_limit;
extern void set_sibling_limit();
int type_in_reduced(expansion_analyzer& ea, cell *c, const function<int(cell*)>& f);

namespace ts {
  cell *verified_add(cell *c, int which, int bonus, const cellfunction& cf);
  cell *add(cell *c, int which, int bonus, const cellfunction& cf);
  
  inline cell *left_parent(cell *c, const cellfunction& cf) { return verified_add(c, 1, 0, cf); }
  inline cell *right_parent(cell *c, const cellfunction& cf) { return verified_add(c, -1, 0, cf); }
  cell *left_of(cell *c, const cellfunction& cf);
  cell *right_of(cell *c, const cellfunction& cf);
  cell *child_number(cell *c, int id, const cellfunction& cf);
  }

void generate_around(cell *c);
int euclidAlt(short x, short y);
int cylinder_alt(cell *c);

struct exp_parser {
  string s;
  int at;
  exp_parser() { at = 0; }
  
  map<string, cld> extra_params;

  bool ok() { return at == isize(s); }
  char next(int step=0) { if(at >= isize(s)-step || at == -1) return 0; else return s[at+step]; }
  
  bool eat(const char *c) {
    int orig_at = at;
    while(*c && *c == next()) at++, c++;
    if(*c == 0) return true;
    else at = orig_at;
    return false;
    }

  cld parse(int prio = 0);

  cld parsepar() {
    cld res = parse();
    if(next() != ')') { at = -1; return res; }
    at++;
    return res;
    }

  };

#if CAP_COMPLEX2
namespace brownian {
  const int level = 5;
  void init(cell *c);
  void build(cell *c, int d);
  void explosion(cell *c, int x);
  };
#else
namespace brownian {
  inline void dissolve_brownian(cell*, int) {};
  inline void build(cell *c, int d) {}
  inline void init(cell *c) {}
  }
#endif

#define ONEMPTY if(d == 7 && passable(c, NULL, 0) && !safety && !reptilecheat)

extern bool reptilecheat;

void enable_cheat();

extern int cells_drawn;

void menuitem_sightrange(char c = 'r');

bool invis_point(const hyperpoint h);
bool invalid_point(const hyperpoint h);
bool invalid_point(const transmatrix T);
bool in_smart_range(const transmatrix& T);

void curvepoint(const hyperpoint& H1);
dqi_poly& queuecurve(color_t linecol, color_t fillcol, PPR prio);

bool haveaura();

string parser_help();

static const ld degree = M_PI / 180;

void show_color_dialog();

extern ld band_shift;

int cone_side(const hyperpoint H);

void fix_the_band(transmatrix& T);

struct bandfixer {
  dynamicval<ld> bw;
  bandfixer(transmatrix& T) : bw(band_shift, band_shift) { fix_the_band(T); }
  };

extern unordered_map<string, ld&> params;

namespace dq {
  extern queue<tuple<heptagon*, transmatrix, ld>> drawqueue;

  extern set<heptagon*> visited;
  void enqueue(heptagon *h, const transmatrix& T);

  extern set<int> visited_by_matrix;
  void enqueue_by_matrix(heptagon *h, const transmatrix& T);
  }

typedef pair<string, reaction_t> named_functionality;
inline named_functionality named_dialog(string x, reaction_t dialog) { return named_functionality(x, [dialog] () { pushScreen(dialog); }); }

extern hookset<named_functionality()> *hooks_o_key;

named_functionality get_o_key();

hyperpoint nearcorner(cell *c, int i);
extern bool showquotients;

bool do_draw(cell *c, const transmatrix& T);
ld sintick(int period, ld phase = 0);

#if CAP_RACING
namespace racing {
  extern bool on, player_relative, track_ready, guiding, standard_centering;
  extern ld race_advance, race_angle;
  extern int ghosts_to_show, ghosts_to_save;
  void generate_track();
  void configure_race();
  void prepare_subscreens();
  extern vector<cell*> track;
  extern int current_player;
  extern vector<eLand> race_lands;
  extern string track_code;
  extern int race_start_tick, race_finish_tick[MAXPLAYER];
  void race_won();
  void apply_seed();
  string racetimeformat(int t);
  void add_debug(cell *c);
  void displayScore(eLand l);
  }

#else

// static bool on = false: emits a warning
// static const bool on = false: no warning, but does not allow assignment

namespace racing { 
  static const always_false on; 
  }

inline bool subscreen_split(reaction_t for_each_subscreen) { return false; }
#endif

bool in_gravity_zone(cell *c);
bool normal_gravity_at(cell *c);

void build_pool(cell *c, bool with_boat);
void createArrowTrapAt(cell *c, eLand land);
bool no_barriers_in_radius(cell *c, int rad);
bool in_full_game();

extern ld extra_generation_distance;

namespace subscreens {
  void prepare();
  bool split(reaction_t for_each_subscreen);
  }

template <class T> void texture_order(const T& f) {
  const int STEP = vid.texture_step;
  const ld STEP2 = STEP;
  for(int y=0; y<STEP; y++)
  for(int x=0; x<STEP; x++) {
    ld x0 = x / STEP2;
    ld y0 = y / STEP2;
    ld b = 1 / STEP2;

     if(x+y < STEP) {
       f(x0, y0); f(x0+b, y0); f(x0, y0+b);
       }
     if(x+y <= STEP && x && y) {
       f(x0, y0); f(x0-b, y0); f(x0, y0-b);
       }
    }
  }

void set_euland3(cell *c, int co0, int co1, int alt, int hash);

extern bool first_cell_to_draw;
extern int current_rbuffer;
extern bool new_projection_needed;
inline void reset_projection() { new_projection_needed = true; }
extern ld ptick(int period, ld phase = 0);
void gridline(const transmatrix& V1, const hyperpoint h1, const transmatrix& V2, const hyperpoint h2, color_t col, int prec);
void gridline(const transmatrix& V, const hyperpoint h1, const hyperpoint h2, color_t col, int prec);

static const int POLY_DRAWLINES = 1;            // draw the lines
static const int POLY_DRAWAREA = 2;             // draw the area
static const int POLY_INVERSE = 4;              // draw the inverse -- useful in stereographic projection
static const int POLY_ISSIDE = 8;               // never draw in inverse
static const int POLY_BEHIND = 16;              // there are points behind the camera
static const int POLY_TOOLARGE = 32;            // some coordinates are too large -- best not to draw to avoid glitches
static const int POLY_INFRONT = 64;             // on the sphere (orthogonal projection), do not draw without any points in front
static const int POLY_HASWALLS = 128;           // floor shapes which have their sidewalls
static const int POLY_PLAIN = 256;              // plain floors
static const int POLY_FULL = 512;               // full floors
static const int POLY_HASSHADOW = 1024;         // floor shapes which have their shadows, or can use shFloorShadow
static const int POLY_GP = 2048;                // Goldberg shapes
static const int POLY_VCONVEX = 4096;           // Convex shape (vertex)
static const int POLY_CCONVEX = 8192;           // Convex shape (central)
static const int POLY_CENTERIN = 16384;         // new system of side checking 
static const int POLY_FORCEWIDE = (1<<15);      // force wide lines
static const int POLY_NOTINFRONT = (1<<16);     // points not in front
static const int POLY_NIF_ERROR = (1<<17);      // points moved to the outline cross the image, disable
static const int POLY_BADCENTERIN = (1<<18);    // new system of side checking 
static const int POLY_PRECISE_WIDE = (1<<19);   // precise width calculation
static const int POLY_FORCE_INVERTED = (1<<20); // force inverted
static const int POLY_ALWAYS_IN = (1<<21);      // always draw this
static const int POLY_TRIANGLES = (1<<22);      // made of TRIANGLES, not TRIANGLE_FAN
static const int POLY_INTENSE = (1<<23);        // extra intense colors

void pregen();
extern vector<eLand> currentlands;

struct gamedata {
  // important parameters should be visible
  eGeometry geo;
  eVariation var;
  eLand specland;
  bool active;
  // other properties are recorded
  vector<char> record;
  int index, mode;
  void storegame();
  void restoregame();
  template<class T> void store(T& x) {
    int ssize = sizeof(x);
    if(ssize & 7) ssize = (ssize | 7) + 1;
    if(mode == 0) {
      record.resize(index+ssize);
      T& at = *(new (&record[index]) T());
      at = move(x);
      }
    else {
      T& at = (T&) record[index];
      x = move(at);
      at.~T();
      }
    index += ssize;
    }
  };

/* lastmovetype   uses lmSkip, lmMove, lmAttack, lmPush, lmTree */
enum eLastmovetype { lmSkip, lmMove, lmAttack, lmPush, lmTree, lmInstant };
extern eLastmovetype lastmovetype, nextmovetype;

enum eForcemovetype { fmSkip, fmMove, fmAttack, fmInstant, fmActivate };
extern eForcemovetype forcedmovetype;

extern hookset<void(gamedata*)> *hooks_gamedata;

namespace dual {
  // 0 = dualmode off, 1 = in dualmode (no game chosen), 2 = in dualmode (working on one of subgames)
  extern int state;
  extern int currently_loaded, main_side;
  extern bool affect_both;

  bool movepc(int d, int subdir, bool checkonly);
  extern transmatrix player_orientation[2];
  
  void add_choice();

  bool split(reaction_t what);
  void split_or_do(reaction_t what);
  bool may_split(reaction_t what);
  void may_split_or_do(reaction_t what);
  void switch_to(int i);
  void in_subscreen(reaction_t what);
  
  bool check_side(eLand l);
  void assign_landsides();
  
  void disable();
  void enable();
  
  inline reaction_t mayboth(reaction_t what) { return [=] { may_split_or_do(what); }; }
  }

void raise_error();
bool invalid_matrix(const transmatrix T);

extern bool show_memory_warning;
extern bool ignored_memory_warning;
extern int reserve_count, reserve_limit;
void apply_memory_reserve();
void show_memory_menu();
static const int PSEUDOKEY_MEMORY = 16397;

}