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solvespace/solvespace.h

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#ifndef __SOLVESPACE_H
#define __SOLVESPACE_H
// Debugging functions
#define oops() do { dbp("oops at line %d, file %s", __LINE__, __FILE__); \
if(1) *(char *)0 = 1; exit(-1); } while(0)
#ifndef min
#define min(x, y) ((x) < (y) ? (x) : (y))
#endif
#ifndef max
#define max(x, y) ((x) > (y) ? (x) : (y))
#endif
#define isnan(x) (((x) != (x)) || (x > 1e11) || (x < -1e11))
inline int WRAP(int v, int n) {
// Clamp it to the range [0, n)
while(v >= n) v -= n;
while(v < 0) v += n;
return v;
}
inline double WRAP_NOT_0(double v, double n) {
// Clamp it to the range (0, n]
while(v > n) v -= n;
while(v <= 0) v += n;
return v;
}
inline double WRAP_SYMMETRIC(double v, double n) {
// Clamp it to the range (-n/2, n/2]
while(v > n/2) v -= n;
while(v <= -n/2) v += n;
return v;
}
// Why is this faster than the library function?
inline double ffabs(double v) { return (v > 0) ? v : (-v); }
#define SWAP(T, a, b) do { T temp = (a); (a) = (b); (b) = temp; } while(0)
#define ZERO(v) memset((v), 0, sizeof(*(v)))
#define CO(v) (v).x, (v).y, (v).z
#define LENGTH_EPS (1e-6)
#define VERY_POSITIVE (1e10)
#define VERY_NEGATIVE (-1e10)
#define isforname(c) (isalnum(c) || (c) == '_' || (c) == '-' || (c) == '#')
typedef unsigned __int64 QWORD;
typedef signed __int64 SQWORD;
typedef signed long SDWORD;
typedef signed short SWORD;
#include <stdlib.h>
#include <ctype.h>
#include <string.h>
#include <stdio.h>
#include <math.h>
#include <windows.h> // required for GL stuff
#include <gl/gl.h>
#include <gl/glu.h>
inline double Random(double vmax) {
return (vmax*rand()) / RAND_MAX;
}
class Expr;
class ExprVector;
class ExprQuaternion;
//================
// From the platform-specific code.
#define MAX_RECENT 8
#define RECENT_OPEN (0xf000)
#define RECENT_IMPORT (0xf100)
extern char RecentFile[MAX_RECENT][MAX_PATH];
void RefreshRecentMenus(void);
int SaveFileYesNoCancel(void);
// SolveSpace native file format
#define SLVS_PATTERN "SolveSpace Models (*.slvs)\0*.slvs\0All Files (*)\0*\0\0"
#define SLVS_EXT "slvs"
// PNG format bitmap
#define PNG_PATTERN "PNG (*.png)\0*.png\0All Files (*)\0*\0\0"
#define PNG_EXT "png"
// Triangle mesh
#define MESH_PATTERN "STL Mesh (*.stl)\0*.stl\0" \
"Wavefront OBJ Mesh (*.obj)\0*.obj\0" \
"All Files (*)\0*\0\0"
#define MESH_EXT "stl"
// NURBS surfaces
#define SRF_PATTERN "STEP File (*.step;*.stp)\0*.step;*.stp\0" \
"All Files(*)\0*\0\0"
#define SRF_EXT "step"
// 2d vector (lines and curves) format
#define VEC_PATTERN "PDF File (*.pdf)\0*.pdf\0" \
"Encapsulated PostScript (*.eps;*.ps)\0*.eps;*.ps\0" \
"Scalable Vector Graphics (*.svg)\0*.svg\0" \
"STEP File (*.step;*.stp)\0*.step;*.stp\0" \
"DXF File (*.dxf)\0*.dxf\0" \
"HPGL File (*.plt;*.hpgl)\0*.plt;*.hpgl\0" \
"G Code (*.txt)\0*.txt\0" \
"All Files (*)\0*\0\0"
#define VEC_EXT "pdf"
// 3d vector (wireframe lines and curves) format
#define V3D_PATTERN "STEP File (*.step;*.stp)\0*.step;*.stp\0" \
"DXF File (*.dxf)\0*.dxf\0" \
"All Files (*)\0*\0\0"
#define V3D_EXT "step"
// Comma-separated value, like a spreadsheet would use
#define CSV_PATTERN "CSV File (*.csv)\0*.csv\0All Files (*)\0*\0\0"
#define CSV_EXT "csv"
// Native license file
#define LICENSE_PATTERN \
"License File (*.license)\0*.license\0All Files (*)\0*\0\0"
#define LICENSE_EXT "license"
BOOL GetSaveFile(char *file, char *defExtension, char *selPattern);
BOOL GetOpenFile(char *file, char *defExtension, char *selPattern);
void GetAbsoluteFilename(char *file);
void LoadAllFontFiles(void);
void OpenWebsite(char *url);
void CheckMenuById(int id, BOOL checked);
void EnableMenuById(int id, BOOL checked);
void ShowGraphicsEditControl(int x, int y, char *s);
void HideGraphicsEditControl(void);
BOOL GraphicsEditControlIsVisible(void);
void ShowTextEditControl(int hr, int c, char *s);
void HideTextEditControl(void);
BOOL TextEditControlIsVisible(void);
#define CONTEXT_SUBMENU (-1)
#define CONTEXT_SEPARATOR (-2)
void AddContextMenuItem(char *legend, int id);
void CreateContextSubmenu(void);
int ShowContextMenu(void);
void ShowTextWindow(BOOL visible);
void InvalidateText(void);
void InvalidateGraphics(void);
void PaintGraphics(void);
void GetGraphicsWindowSize(int *w, int *h);
SDWORD GetMilliseconds(void);
SQWORD GetUnixTime(void);
void dbp(char *str, ...);
#define DBPTRI(tri) \
dbp("tri: (%.3f %.3f %.3f) (%.3f %.3f %.3f) (%.3f %.3f %.3f)", \
CO((tri).a), CO((tri).b), CO((tri).c))
void SetWindowTitle(char *str);
void DoMessageBox(char *str, int rows, int cols, BOOL error);
void SetTimerFor(int milliseconds);
void ExitNow(void);
void DrawWithBitmapFont(char *str);
void GetBitmapFontExtent(char *str, int *w, int *h);
void CnfFreezeString(char *str, char *name);
void CnfFreezeDWORD(DWORD v, char *name);
void CnfFreezeFloat(float v, char *name);
void CnfThawString(char *str, int maxLen, char *name);
DWORD CnfThawDWORD(DWORD v, char *name);
float CnfThawFloat(float v, char *name);
void *AllocTemporary(int n);
void FreeTemporary(void *p);
void FreeAllTemporary(void);
void *MemRealloc(void *p, int n);
void *MemAlloc(int n);
void MemFree(void *p);
void InitHeaps(void);
void vl(void); // debug function to validate heaps
// End of platform-specific functions
//================
class Group;
class SSurface;
#include "dsc.h"
#include "polygon.h"
#include "srf/surface.h"
class Entity;
class hEntity;
class Param;
class hParam;
typedef IdList<Entity,hEntity> EntityList;
typedef IdList<Param,hParam> ParamList;
#include "sketch.h"
#include "ui.h"
#include "expr.h"
// Utility functions that are provided in the platform-independent code.
void glxVertex3v(Vector u);
#define DEFAULT_TEXT_HEIGHT (11.5)
#define GLX_CALLBACK __stdcall
typedef void GLX_CALLBACK glxCallbackFptr(void);
void glxTesselatePolygon(GLUtesselator *gt, SPolygon *p);
void glxFillPolygon(SPolygon *p);
void glxFillMesh(int color, SMesh *m, DWORD h, DWORD s1, DWORD s2);
void glxDebugPolygon(SPolygon *p);
void glxDrawEdges(SEdgeList *l, bool endpointsToo);
void glxDebugMesh(SMesh *m);
void glxMarkPolygonNormal(SPolygon *p);
typedef void glxLineFn(void *data, Vector a, Vector b);
void glxWriteText(char *str, double h, Vector t, Vector u, Vector v,
glxLineFn *fn, void *fndata);
void glxWriteTextRefCenter(char *str, double h, Vector t, Vector u, Vector v,
glxLineFn *fn, void *fndata);
double glxStrWidth(char *str, double h);
double glxStrHeight(double h);
void glxLockColorTo(DWORD rgb);
void glxFatLine(Vector a, Vector b, double width);
void glxUnlockColor(void);
void glxColorRGB(DWORD rgb);
void glxColorRGBa(DWORD rgb, double a);
void glxDepthRangeOffset(int units);
void glxDepthRangeLockToFront(bool yes);
#define arraylen(x) (sizeof((x))/sizeof((x)[0]))
#define PI (3.1415926535897931)
void MakeMatrix(double *mat, double a11, double a12, double a13, double a14,
double a21, double a22, double a23, double a24,
double a31, double a32, double a33, double a34,
double a41, double a42, double a43, double a44);
void MakePathRelative(char *base, char *path);
void MakePathAbsolute(char *base, char *path);
bool StringAllPrintable(char *str);
bool StringEndsIn(char *str, char *ending);
void Message(char *str, ...);
void Error(char *str, ...);
class System {
public:
static const int MAX_UNKNOWNS = 1024;
EntityList entity;
ParamList param;
IdList<Equation,hEquation> eq;
// A list of parameters that are being dragged; these are the ones that
// we should put as close as possible to their initial positions.
List<hParam> dragged;
// In general, the tag indicates the subsys that a variable/equation
// has been assigned to; these are exceptions for variables:
static const int VAR_SUBSTITUTED = 10000;
static const int VAR_DOF_TEST = 10001;
// and for equations:
static const int EQ_SUBSTITUTED = 20000;
// The system Jacobian matrix
struct {
// The corresponding equation for each row
hEquation eq[MAX_UNKNOWNS];
// The corresponding parameter for each column
hParam param[MAX_UNKNOWNS];
// We're solving AX = B
int m, n;
struct {
Expr *sym[MAX_UNKNOWNS][MAX_UNKNOWNS];
double num[MAX_UNKNOWNS][MAX_UNKNOWNS];
} A;
double scale[MAX_UNKNOWNS];
// Some helpers for the least squares solve
double AAt[MAX_UNKNOWNS][MAX_UNKNOWNS];
double Z[MAX_UNKNOWNS];
double X[MAX_UNKNOWNS];
struct {
Expr *sym[MAX_UNKNOWNS];
double num[MAX_UNKNOWNS];
} B;
} mat;
static const double RANK_MAG_TOLERANCE, CONVERGE_TOLERANCE;
int CalculateRank(void);
static bool SolveLinearSystem(double X[], double A[][MAX_UNKNOWNS],
double B[], int N);
bool SolveLeastSquares(void);
bool WriteJacobian(int tag);
void EvalJacobian(void);
void WriteEquationsExceptFor(hConstraint hc, Group *g);
void FindWhichToRemoveToFixJacobian(Group *g, List<hConstraint> *bad);
void SolveBySubstitution(void);
bool IsDragged(hParam p);
bool NewtonSolve(int tag);
static const int SOLVED_OKAY = 0;
static const int DIDNT_CONVERGE = 10;
static const int SINGULAR_JACOBIAN = 11;
static const int TOO_MANY_UNKNOWNS = 20;
int Solve(Group *g, int *dof, List<hConstraint> *bad,
bool andFindBad, bool andFindFree);
};
class TtfFont {
public:
typedef struct {
bool onCurve;
bool lastInContour;
SWORD x;
SWORD y;
} FontPoint;
typedef struct {
FontPoint *pt;
int pts;
int xMax;
int xMin;
int leftSideBearing;
int advanceWidth;
} Glyph;
typedef struct {
int x, y;
} IntPoint;
char fontFile[MAX_PATH];
NameStr name;
bool loaded;
// The font itself, plus the mapping from ASCII codes to glyphs
int useGlyph[256];
Glyph *glyph;
int glyphs;
int maxPoints;
int scale;
// The filehandle, while loading
FILE *fh;
// Some state while rendering a character to curves
static const int NOTHING = 0;
static const int ON_CURVE = 1;
static const int OFF_CURVE = 2;
int lastWas;
IntPoint lastOnCurve;
IntPoint lastOffCurve;
// And the state that the caller must specify, determines where we
// render to and how
SBezierList *beziers;
Vector origin, u, v;
int Getc(void);
int GetBYTE(void);
int GetWORD(void);
int GetDWORD(void);
void LoadGlyph(int index);
bool LoadFontFromFile(bool nameOnly);
char *FontFileBaseName(void);
void Flush(void);
void Handle(int *dx, int x, int y, bool onCurve);
void PlotCharacter(int *dx, int c, double spacing);
void PlotString(char *str, double spacing,
SBezierList *sbl, Vector origin, Vector u, Vector v);
Vector TransformIntPoint(int x, int y);
void LineSegment(int x0, int y0, int x1, int y1);
void Bezier(int x0, int y0, int x1, int y1, int x2, int y2);
};
class TtfFontList {
public:
bool loaded;
List<TtfFont> l;
void LoadAll(void);
void PlotString(char *font, char *str, double spacing,
SBezierList *sbl, Vector origin, Vector u, Vector v);
};
class StepFileWriter {
public:
void ExportSurfacesTo(char *filename);
void WriteHeader(void);
int ExportCurve(SBezier *sb);
int ExportCurveLoop(SBezierLoop *loop, bool inner);
void ExportSurface(SSurface *ss, SBezierList *sbl);
void WriteWireframe(void);
void WriteFooter(void);
List<int> curves;
List<int> advancedFaces;
FILE *f;
int id;
};
class VectorFileWriter {
public:
FILE *f;
Vector ptMin, ptMax;
static double MmToPts(double mm);
static VectorFileWriter *ForFile(char *file);
void Output(SBezierLoopSetSet *sblss, SMesh *sm);
void BezierAsPwl(SBezier *sb);
void BezierAsNonrationalCubic(SBezier *sb, int depth=0);
virtual void StartPath( DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb) = 0;
virtual void FinishPath(DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb) = 0;
virtual void Bezier(SBezier *sb) = 0;
virtual void Triangle(STriangle *tr) = 0;
virtual void StartFile(void) = 0;
virtual void FinishAndCloseFile(void) = 0;
virtual bool HasCanvasSize(void) = 0;
};
class DxfFileWriter : public VectorFileWriter {
public:
void StartPath( DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void FinishPath(DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void Triangle(STriangle *tr);
void Bezier(SBezier *sb);
void StartFile(void);
void FinishAndCloseFile(void);
bool HasCanvasSize(void) { return false; }
};
class EpsFileWriter : public VectorFileWriter {
public:
Vector prevPt;
void MaybeMoveTo(Vector s, Vector f);
void StartPath( DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void FinishPath(DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void Triangle(STriangle *tr);
void Bezier(SBezier *sb);
void StartFile(void);
void FinishAndCloseFile(void);
bool HasCanvasSize(void) { return true; }
};
class PdfFileWriter : public VectorFileWriter {
public:
DWORD xref[10];
DWORD bodyStart;
Vector prevPt;
void MaybeMoveTo(Vector s, Vector f);
void StartPath( DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void FinishPath(DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void Triangle(STriangle *tr);
void Bezier(SBezier *sb);
void StartFile(void);
void FinishAndCloseFile(void);
bool HasCanvasSize(void) { return true; }
};
class SvgFileWriter : public VectorFileWriter {
public:
Vector prevPt;
void MaybeMoveTo(Vector s, Vector f);
void StartPath( DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void FinishPath(DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void Triangle(STriangle *tr);
void Bezier(SBezier *sb);
void StartFile(void);
void FinishAndCloseFile(void);
bool HasCanvasSize(void) { return true; }
};
class HpglFileWriter : public VectorFileWriter {
public:
static double MmToHpglUnits(double mm);
void StartPath( DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void FinishPath(DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void Triangle(STriangle *tr);
void Bezier(SBezier *sb);
void StartFile(void);
void FinishAndCloseFile(void);
bool HasCanvasSize(void) { return false; }
};
class Step2dFileWriter : public VectorFileWriter {
StepFileWriter sfw;
void StartPath( DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void FinishPath(DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void Triangle(STriangle *tr);
void Bezier(SBezier *sb);
void StartFile(void);
void FinishAndCloseFile(void);
bool HasCanvasSize(void) { return false; }
};
class GCodeFileWriter : public VectorFileWriter {
public:
SEdgeList sel;
void StartPath( DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void FinishPath(DWORD strokeRgb, double lineWidth,
bool filled, DWORD fillRgb);
void Triangle(STriangle *tr);
void Bezier(SBezier *sb);
void StartFile(void);
void FinishAndCloseFile(void);
bool HasCanvasSize(void) { return false; }
};
#ifdef LIBRARY
# define ENTITY EntityBase
# define CONSTRAINT ConstraintBase
#else
# define ENTITY Entity
# define CONSTRAINT Constraint
#endif
class Sketch {
public:
// These are user-editable, and define the sketch.
IdList<Group,hGroup> group;
IdList<CONSTRAINT,hConstraint> constraint;
IdList<Request,hRequest> request;
IdList<Style,hStyle> style;
// These are generated from the above.
IdList<ENTITY,hEntity> entity;
IdList<Param,hParam> param;
inline CONSTRAINT *GetConstraint(hConstraint h)
{ return constraint.FindById(h); }
inline ENTITY *GetEntity (hEntity h) { return entity. FindById(h); }
inline Param *GetParam (hParam h) { return param. FindById(h); }
inline Request *GetRequest(hRequest h) { return request.FindById(h); }
inline Group *GetGroup (hGroup h) { return group. FindById(h); }
// Styles are handled a bit differently.
};
#undef ENTITY
#undef CONSTRAINT
class SolveSpace {
public:
TextWindow TW;
GraphicsWindow GW;
// The state for undo/redo
typedef struct {
IdList<Group,hGroup> group;
IdList<Request,hRequest> request;
IdList<Constraint,hConstraint> constraint;
IdList<Param,hParam> param;
IdList<Style,hStyle> style;
hGroup activeGroup;
} UndoState;
static const int MAX_UNDO = 16;
typedef struct {
UndoState d[MAX_UNDO];
int cnt;
int write;
} UndoStack;
UndoStack undo;
UndoStack redo;
void UndoEnableMenus(void);
void UndoRemember(void);
void UndoUndo(void);
void UndoRedo(void);
void PushFromCurrentOnto(UndoStack *uk);
void PopOntoCurrentFrom(UndoStack *uk);
void UndoClearState(UndoState *ut);
void UndoClearStack(UndoStack *uk);
// Little bits of extra configuration state
static const int MODEL_COLORS = 8;
int modelColor[MODEL_COLORS];
Vector lightDir[2];
double lightIntensity[2];
double ambientIntensity;
double chordTol;
int maxSegments;
double cameraTangent;
float gridSpacing;
float exportScale;
float exportOffset;
int fixExportColors;
int drawBackFaces;
int checkClosedContour;
int showToolbar;
DWORD backgroundColor;
int exportShadedTriangles;
int exportPwlCurves;
int exportCanvasSizeAuto;
struct {
float left;
float right;
float bottom;
float top;
} exportMargin;
struct {
float width;
float height;
float dx;
float dy;
} exportCanvas;
struct {
float depth;
int passes;
float feed;
float plungeFeed;
} gCode;
typedef enum {
UNIT_MM = 0,
UNIT_INCHES,
} Unit;
Unit viewUnits;
char *MmToString(double v);
double ExprToMm(Expr *e);
double StringToMm(char *s);
char *UnitName(void);
double MmPerUnit(void);
double ChordTolMm(void);
bool forceParallelProj;
double CameraTangent(void);
// The platform-dependent code calls this before entering the msg loop
void Init(char *cmdLine);
void CheckLicenseFromRegistry(void);
void Exit(void);
// File load/save routines, including the additional files that get
// loaded when we have import groups.
FILE *fh;
void AfterNewFile(void);
static void RemoveFromRecentList(char *file);
static void AddToRecentList(char *file);
char saveFile[MAX_PATH];
bool fileLoadError;
bool unsaved;
typedef struct {
char type;
char *desc;
char fmt;
void *ptr;
} SaveTable;
static const SaveTable SAVED[];
void SaveUsingTable(int type);
void LoadUsingTable(char *key, char *val);
struct {
Group g;
Request r;
Entity e;
Param p;
Constraint c;
Style s;
} sv;
static void MenuFile(int id);
bool GetFilenameAndSave(bool saveAs);
bool OkayToStartNewFile(void);
hGroup CreateDefaultDrawingGroup(void);
void UpdateWindowTitle(void);
void NewFile(void);
bool SaveToFile(char *filename);
bool LoadFromFile(char *filename);
bool LoadEntitiesFromFile(char *filename, EntityList *le,
SMesh *m, SShell *sh);
void ReloadAllImported(void);
// And the various export options
void ExportAsPngTo(char *file);
void ExportMeshTo(char *file);
void ExportMeshAsStlTo(FILE *f, SMesh *sm);
void ExportMeshAsObjTo(FILE *f, SMesh *sm);
void ExportViewOrWireframeTo(char *file, bool wireframe);
void ExportSectionTo(char *file);
void ExportWireframeCurves(SEdgeList *sel, SBezierList *sbl,
VectorFileWriter *out);
void ExportLinesAndMesh(SEdgeList *sel, SBezierList *sbl, SMesh *sm,
Vector u, Vector v, Vector n, Vector origin,
double cameraTan,
VectorFileWriter *out);
static void MenuAnalyze(int id);
// Additional display stuff
struct {
SContour path;
hEntity point;
} traced;
SEdgeList nakedEdges;
struct {
bool draw;
Vector ptA;
Vector ptB;
} extraLine;
struct {
BYTE *fromFile;
int w, h;
int rw, rh;
double scale; // pixels per mm
Vector origin;
} bgImage;
struct {
bool draw;
Vector pt, u, v;
} justExportedInfo;
class Clipboard {
public:
List<ClipboardRequest> r;
List<Constraint> c;
void Clear(void);
bool ContainsEntity(hEntity old);
hEntity NewEntityFor(hEntity old);
};
Clipboard clipboard;
void MarkGroupDirty(hGroup hg);
void MarkGroupDirtyByEntity(hEntity he);
// Consistency checking on the sketch: stuff with missing dependencies
// will get deleted automatically.
struct {
int requests;
int groups;
int constraints;
int nonTrivialConstraints;
} deleted;
bool GroupExists(hGroup hg);
bool PruneOrphans(void);
bool EntityExists(hEntity he);
bool GroupsInOrder(hGroup before, hGroup after);
bool PruneGroups(hGroup hg);
bool PruneRequests(hGroup hg);
bool PruneConstraints(hGroup hg);
void GenerateAll(void);
void GenerateAll(int first, int last, bool andFindFree=false);
void SolveGroup(hGroup hg, bool andFindFree);
void MarkDraggedParams(void);
void ForceReferences(void);
bool AllGroupsOkay(void);
// The system to be solved.
System sys;
// All the TrueType fonts in memory
TtfFontList fonts;
// Everything has been pruned, so we know there's no dangling references
// to entities that don't exist. Before that, we mustn't try to display
// the sketch!
bool allConsistent;
struct {
bool showTW;
bool generateAll;
} later;
void DoLater(void);
// For the licensing
class Crc {
public:
static const DWORD POLY = 0xedb88320;
DWORD shiftReg;
void ProcessBit(int bit);
void ProcessByte(BYTE b);
void ProcessString(char *s);
};
Crc crc;
struct {
bool licensed;
char line1[512];
char line2[512];
char users[512];
DWORD key;
SQWORD firstUse;
int trialDaysRemaining;
} license;
static void MenuHelp(int id);
void CleanEol(char *s);
void LoadLicenseFile(char *filename);
bool LicenseValid(char *line1, char *line2, char *users, DWORD key);
};
extern SolveSpace SS;
extern Sketch SK;
#endif
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