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polygon.h
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337 lines (267 loc) · 8.61 KB
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//-----------------------------------------------------------------------------
// Anything relating to plane polygons and triangles, and (generally, non-
// planar) meshes thereof.
//
// Copyright 2008-2013 Jonathan Westhues.
//-----------------------------------------------------------------------------
#ifndef __POLYGON_H
#define __POLYGON_H
class SPointList;
class SPolygon;
class SContour;
class SMesh;
class SBsp3;
class SOutlineList;
class SEdge {
public:
int tag;
int auxA, auxB;
Vector a, b;
static SEdge From(Vector a, Vector b);
bool EdgeCrosses(Vector a, Vector b, Vector *pi=NULL, SPointList *spl=NULL);
};
class SEdgeList {
public:
List<SEdge> l;
void Clear(void);
void AddEdge(Vector a, Vector b, int auxA=0, int auxB=0);
bool AssemblePolygon(SPolygon *dest, SEdge *errorAt, bool keepDir=false);
bool AssembleContour(Vector first, Vector last, SContour *dest,
SEdge *errorAt, bool keepDir);
int AnyEdgeCrossings(Vector a, Vector b,
Vector *pi=NULL, SPointList *spl=NULL);
bool ContainsEdgeFrom(SEdgeList *sel);
bool ContainsEdge(SEdge *se);
void CullExtraneousEdges(void);
void MergeCollinearSegments(Vector a, Vector b);
};
// A kd-tree element needs to go on a side of a node if it's when KDTREE_EPS
// of the boundary. So increasing this number never breaks anything, but may
// result in more duplicated elements. So it's conservative to be sloppy here.
#define KDTREE_EPS (20*LENGTH_EPS)
class SEdgeLl {
public:
SEdge *se;
SEdgeLl *next;
static SEdgeLl *Alloc(void);
};
class SKdNodeEdges {
public:
int which; // whether c is x, y, or z
double c;
SKdNodeEdges *gt;
SKdNodeEdges *lt;
SEdgeLl *edges;
static SKdNodeEdges *From(SEdgeList *sel);
static SKdNodeEdges *From(SEdgeLl *sell);
static SKdNodeEdges *Alloc(void);
int AnyEdgeCrossings(Vector a, Vector b, int cnt,
Vector *pi=NULL, SPointList *spl=NULL);
};
class SPoint {
public:
int tag;
enum {
UNKNOWN = 0,
NOT_EAR = 1,
EAR = 2
};
int ear;
Vector p;
Vector auxv;
};
class SPointList {
public:
List<SPoint> l;
void Clear(void);
bool ContainsPoint(Vector pt);
int IndexForPoint(Vector pt);
void IncrementTagFor(Vector pt);
void Add(Vector pt);
};
class SContour {
public:
int tag;
int timesEnclosed;
Vector xminPt;
List<SPoint> l;
void AddPoint(Vector p);
void MakeEdgesInto(SEdgeList *el);
void Reverse(void);
Vector ComputeNormal(void);
double SignedAreaProjdToNormal(Vector n);
bool IsClockwiseProjdToNormal(Vector n);
bool ContainsPointProjdToNormal(Vector n, Vector p);
void OffsetInto(SContour *dest, double r);
void CopyInto(SContour *dest);
void FindPointWithMinX(void);
Vector AnyEdgeMidpoint(void);
bool IsEar(int bp, double scaledEps);
bool BridgeToContour(SContour *sc, SEdgeList *el, List<Vector> *vl);
void ClipEarInto(SMesh *m, int bp, double scaledEps);
void UvTriangulateInto(SMesh *m, SSurface *srf);
};
typedef struct {
uint32_t face;
RgbaColor color;
} STriMeta;
class SPolygon {
public:
List<SContour> l;
Vector normal;
Vector ComputeNormal(void);
void AddEmptyContour(void);
int WindingNumberForPoint(Vector p);
double SignedArea(void);
bool ContainsPoint(Vector p);
void MakeEdgesInto(SEdgeList *el);
void FixContourDirections(void);
void Clear(void);
bool SelfIntersecting(Vector *intersectsAt);
bool IsEmpty(void);
Vector AnyPoint(void);
void OffsetInto(SPolygon *dest, double r);
void UvTriangulateInto(SMesh *m, SSurface *srf);
void UvGridTriangulateInto(SMesh *m, SSurface *srf);
};
class STriangle {
public:
int tag;
STriMeta meta;
Vector a, b, c;
Vector an, bn, cn;
static STriangle From(STriMeta meta, Vector a, Vector b, Vector c);
Vector Normal(void);
void FlipNormal(void);
double MinAltitude(void);
int WindingNumberForPoint(Vector p);
bool ContainsPoint(Vector p);
bool ContainsPointProjd(Vector n, Vector p);
};
class SBsp2 {
public:
Vector np; // normal to the plane
Vector no; // outer normal to the edge
double d;
SEdge edge;
SBsp2 *pos;
SBsp2 *neg;
SBsp2 *more;
enum { POS = 100, NEG = 101, COPLANAR = 200 };
void InsertTriangleHow(int how, STriangle *tr, SMesh *m, SBsp3 *bsp3);
void InsertTriangle(STriangle *tr, SMesh *m, SBsp3 *bsp3);
Vector IntersectionWith(Vector a, Vector b);
void InsertEdge(SEdge *nedge, Vector nnp, Vector out);
static SBsp2 *InsertOrCreateEdge(SBsp2 *where, SEdge *nedge, Vector nnp, Vector out);
static SBsp2 *Alloc(void);
void DebugDraw(Vector n, double d);
};
class SBsp3 {
public:
Vector n;
double d;
STriangle tri;
SBsp3 *pos;
SBsp3 *neg;
SBsp3 *more;
SBsp2 *edges;
static SBsp3 *Alloc(void);
static SBsp3 *FromMesh(SMesh *m);
Vector IntersectionWith(Vector a, Vector b);
enum { POS = 100, NEG = 101, COPLANAR = 200 };
void InsertHow(int how, STriangle *str, SMesh *instead);
void Insert(STriangle *str, SMesh *instead);
static SBsp3 *InsertOrCreate(SBsp3 *where, STriangle *str, SMesh *instead);
void InsertConvexHow(int how, STriMeta meta, Vector *vertex, int n,
SMesh *instead);
SBsp3 *InsertConvex(STriMeta meta, Vector *vertex, int n, SMesh *instead);
void InsertInPlane(bool pos2, STriangle *tr, SMesh *m);
void GenerateInPaintOrder(SMesh *m);
void DebugDraw(void);
};
class SMesh {
public:
List<STriangle> l;
bool flipNormal;
bool keepCoplanar;
bool atLeastOneDiscarded;
bool isTransparent;
void Clear(void);
void AddTriangle(STriangle *st);
void AddTriangle(STriMeta meta, Vector a, Vector b, Vector c);
void AddTriangle(STriMeta meta, Vector n, Vector a, Vector b, Vector c);
void DoBounding(Vector v, Vector *vmax, Vector *vmin);
void GetBounding(Vector *vmax, Vector *vmin);
void Simplify(int start);
void AddAgainstBsp(SMesh *srcm, SBsp3 *bsp3);
void MakeFromUnionOf(SMesh *a, SMesh *b);
void MakeFromDifferenceOf(SMesh *a, SMesh *b);
void MakeFromCopyOf(SMesh *a);
void MakeFromTransformationOf(SMesh *a,
Vector trans, Quaternion q, double scale);
void MakeFromAssemblyOf(SMesh *a, SMesh *b);
void MakeEdgesInPlaneInto(SEdgeList *sel, Vector n, double d);
void MakeCertainEdgesAndOutlinesInto(SEdgeList *sel, SOutlineList *sol, int type);
bool IsEmpty(void);
void RemapFaces(Group *g, int remap);
uint32_t FirstIntersectionWith(Point2d mp);
};
// A linked list of triangles
class STriangleLl {
public:
STriangle *tri;
STriangleLl *next;
static STriangleLl *Alloc(void);
};
class SOutline {
public:
int tag;
Vector a, b, nl, nr;
};
class SOutlineList {
public:
List<SOutline> l;
void Clear();
void AddEdge(Vector a, Vector b, Vector nl, Vector nr);
void MakeFromCopyOf(SOutlineList *ol);
void FillOutlineTags(Vector projDir);
};
class SKdNode {
public:
struct EdgeOnInfo {
int count;
bool frontFacing;
bool intersectsMesh;
STriangle *tr;
int ai;
int bi;
};
int which; // whether c is x, y, or z
double c;
SKdNode *gt;
SKdNode *lt;
STriangleLl *tris;
static SKdNode *Alloc(void);
static SKdNode *From(SMesh *m);
static SKdNode *From(STriangleLl *tll);
void AddTriangle(STriangle *tr);
void MakeMeshInto(SMesh *m);
void ListTrianglesInto(std::vector<STriangle *> *tl);
void ClearTags(void);
void FindEdgeOn(Vector a, Vector b, int cnt, bool coplanarIsInter, EdgeOnInfo *info);
enum {
NAKED_OR_SELF_INTER_EDGES = 100,
SELF_INTER_EDGES = 200,
TURNING_EDGES = 300,
EMPHASIZED_EDGES = 400,
SHARP_EDGES = 500,
};
void MakeCertainEdgesInto(SEdgeList *sel, int how, bool coplanarIsInter,
bool *inter, bool *leaky, int auxA=0);
void MakeOutlinesInto(SOutlineList *sel);
void OcclusionTestLine(SEdge orig, SEdgeList *sel, int cnt, bool removeHidden);
void SplitLinesAgainstTriangle(SEdgeList *sel, STriangle *tr, bool removeHidden);
void SnapToMesh(SMesh *m);
void SnapToVertex(Vector v, SMesh *extras);
};
#endif