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+// SPDX-License-Identifier: GPL-2.0-or-later
+/** @file
+ * TODO: insert short description here
+ *//*
+ * Authors: see git history
+ *
+ * Copyright (C) 2018 Authors
+ * Released under GNU GPL v2+, read the file 'COPYING' for more information.
+ */
+
+#ifndef my_shape
+#define my_shape
+
+#include <cmath>
+#include <cstdio>
+#include <cstdlib>
+#include <cstring>
+#include <vector>
+#include <2geom/point.h>
+
+#include "livarot/LivarotDefs.h"
+#include "object/object-set.h" // For BooleanOp
+
+class Path;
+class FloatLigne;
+
+class SweepTree;
+class SweepTreeList;
+class SweepEventQueue;
+
+enum {
+ tweak_mode_grow,
+ tweak_mode_push,
+ tweak_mode_repel,
+ tweak_mode_roughen
+};
+
+/*
+ * the Shape class (was the Digraph class, as the header says) stores digraphs (no kidding!) of which
+ * a very interesting kind are polygons.
+ * the main use of this class is the ConvertToShape() (or Booleen(), quite the same) function, which
+ * removes all problems a polygon can present: duplicate points or edges, self-intersection. you end up with a
+ * full-fledged polygon
+ */
+
+// possible values for the "type" field in the Shape class:
+enum
+{
+ shape_graph = 0, // it's just a graph; a bunch of edges, maybe intersections
+ shape_polygon = 1, // a polygon: intersection-free, edges oriented so that the inside is on their left
+ shape_polypatch = 2 // a graph without intersection; each face is a polygon (not yet used)
+};
+
+class BitLigne;
+class AlphaLigne;
+
+class Shape
+{
+public:
+
+ struct back_data
+ {
+ int pathID, pieceID;
+ double tSt, tEn;
+ };
+
+ struct voronoi_point
+ { // info for points treated as points of a voronoi diagram (obtained by MakeShape())
+ double value; // distance to source
+ int winding; // winding relatively to source
+ };
+
+ struct voronoi_edge
+ { // info for edges, treated as approximation of edges of the voronoi diagram
+ int leF, riF; // left and right site
+ double leStX, leStY, riStX, riStY; // on the left side: (leStX,leStY) is the smallest vector from the source to st
+ // etc...
+ double leEnX, leEnY, riEnX, riEnY;
+ };
+
+ struct quick_raster_data
+ {
+ double x; // x-position on the sweepline
+ int bord; // index of the edge
+ int ind; // index of qrsData elem for edge (ie inverse of the bord)
+ int next,prev; // dbl linkage
+ };
+
+ enum sTreeChangeType
+ {
+ EDGE_INSERTED = 0,
+ EDGE_REMOVED = 1,
+ INTERSECTION = 2
+ };
+
+ struct sTreeChange
+ {
+ sTreeChangeType type; // type of modification to the sweepline:
+ int ptNo; // point at which the modification takes place
+
+ Shape *src; // left edge (or unique edge if not an intersection) involved in the event
+ int bord;
+ Shape *osrc; // right edge (if intersection)
+ int obord;
+ Shape *lSrc; // edge directly on the left in the sweepline at the moment of the event
+ int lBrd;
+ Shape *rSrc; // edge directly on the right
+ int rBrd;
+ };
+
+ struct incidenceData
+ {
+ int nextInc; // next incidence in the linked list
+ int pt; // point incident to the edge (there is one list per edge)
+ double theta; // coordinate of the incidence on the edge
+ };
+
+ Shape();
+ virtual ~Shape();
+
+ void MakeBackData(bool nVal);
+ void MakeVoronoiData(bool nVal);
+
+ void Affiche();
+
+ // insertion/deletion/movement of elements in the graph
+ void Copy(Shape *a);
+ // -reset the graph, and ensure there's room for n points and m edges
+ void Reset(int n = 0, int m = 0);
+ // -points:
+ int AddPoint(const Geom::Point x); // as the function name says
+ // returns the index at which the point has been added in the array
+ void SubPoint(int p); // removes the point at index p
+ // nota: this function relocates the last point to the index p
+ // so don't trust point indices if you use SubPoint
+ void SwapPoints(int a, int b); // swaps 2 points at indices a and b
+ void SwapPoints(int a, int b, int c); // swaps 3 points: c <- a <- b <- c
+ void SortPoints(); // sorts the points if needed (checks the need_points_sorting flag)
+
+ // -edges:
+ // add an edge between points of indices st and en
+ int AddEdge(int st, int en);
+ // return the edge index in the array
+
+ // add an edge between points of indices st and en
+ int AddEdge(int st, int en, int leF, int riF);
+ // return the edge index in the array
+
+ // version for the voronoi (with faces IDs)
+ void SubEdge(int e); // removes the edge at index e (same remarks as for SubPoint)
+ void SwapEdges(int a, int b); // swaps 2 edges
+ void SwapEdges(int a, int b, int c); // swaps 3 edges
+ void SortEdges(); // sort the edges if needed (checks the need_edges_sorting falg)
+
+ // primitives for topological manipulations
+
+ // endpoint of edge at index b that is different from the point p
+ inline int Other(int p, int b) const
+ {
+ if (getEdge(b).st == p) {
+ return getEdge(b).en;
+ }
+ return getEdge(b).st;
+ }
+
+ // next edge (after edge b) in the double-linked list at point p
+ inline int NextAt(int p, int b) const
+ {
+ if (p == getEdge(b).st) {
+ return getEdge(b).nextS;
+ }
+ else if (p == getEdge(b).en) {
+ return getEdge(b).nextE;
+ }
+
+ return -1;
+ }
+
+ // previous edge
+ inline int PrevAt(int p, int b) const
+ {
+ if (p == getEdge(b).st) {
+ return getEdge(b).prevS;
+ }
+ else if (p == getEdge(b).en) {
+ return getEdge(b).prevE;
+ }
+
+ return -1;
+ }
+
+ // same as NextAt, but the list is considered circular
+ inline int CycleNextAt(int p, int b) const
+ {
+ if (p == getEdge(b).st) {
+ if (getEdge(b).nextS < 0) {
+ return getPoint(p).incidentEdge[FIRST];
+ }
+ return getEdge(b).nextS;
+ } else if (p == getEdge(b).en) {
+ if (getEdge(b).nextE < 0) {
+ return getPoint(p).incidentEdge[FIRST];
+ }
+
+ return getEdge(b).nextE;
+ }
+
+ return -1;
+ }
+
+ // same as PrevAt, but the list is considered circular
+ inline int CyclePrevAt(int p, int b) const
+ {
+ if (p == getEdge(b).st) {
+ if (getEdge(b).prevS < 0) {
+ return getPoint(p).incidentEdge[LAST];
+ }
+ return getEdge(b).prevS;
+ } else if (p == getEdge(b).en) {
+ if (getEdge(b).prevE < 0) {
+ return getPoint(p).incidentEdge[LAST];
+ }
+ return getEdge(b).prevE;
+ }
+
+ return -1;
+ }
+
+ void ConnectStart(int p, int b); // set the point p as the start of edge b
+ void ConnectEnd(int p, int b); // set the point p as the end of edge b
+ void DisconnectStart(int b); // disconnect edge b from its start point
+ void DisconnectEnd(int b); // disconnect edge b from its end point
+
+ // reverses edge b (start <-> end)
+ void Inverse(int b);
+ // calc bounding box and sets leftX,rightX,topY and bottomY to their values
+ void CalcBBox(bool strict_degree = false);
+
+ // debug function: plots the graph (mac only)
+ void Plot(double ix, double iy, double ir, double mx, double my, bool doPoint,
+ bool edgesNo, bool pointNo, bool doDir, char *fileName);
+
+ // transforms a polygon in a "forme" structure, ie a set of contours, which can be holes (see ShapeUtils.h)
+ // return NULL in case it's not possible
+ void ConvertToForme(Path *dest);
+
+ // version to use when conversion was done with ConvertWithBackData(): will attempt to merge segment belonging to
+ // the same curve
+ // nota: apparently the function doesn't like very small segments of arc
+ void ConvertToForme(Path *dest, int nbP, Path **orig, bool splitWhenForced = false);
+ // version trying to recover the nesting of subpaths (ie: holes)
+ void ConvertToFormeNested(Path *dest, int nbP, Path **orig, int wildPath, int &nbNest,
+ int *&nesting, int *&contStart, bool splitWhenForced = false);
+
+ // sweeping a digraph to produce a intersection-free polygon
+ // return 0 if everything is ok and a return code otherwise (see LivarotDefs.h)
+ // the input is the Shape "a"
+ // directed=true <=> non-zero fill rule
+ int ConvertToShape(Shape *a, FillRule directed = fill_nonZero, bool invert = false);
+ // directed=false <=> even-odd fill rule
+ // invert=true: make as if you inverted all edges in the source
+ int Reoriente(Shape *a); // subcase of ConvertToShape: the input a is already intersection-free
+ // all that's missing are the correct directions of the edges
+ // Reoriented is equivalent to ConvertToShape(a,false,false) , but faster sicne
+ // it doesn't computes interections nor adjacencies
+ void ForceToPolygon(); // force the Shape to believe it's a polygon (eulerian+intersection-free+no
+ // duplicate edges+no duplicate points)
+ // be careful when using this function
+
+ // the coordinate rounding function
+ inline static double Round(double x)
+ {
+ return ldexp(rint(ldexp(x, 9)), -9);
+ }
+
+ // 2 miscannellous variations on it, to scale to and back the rounding grid
+ inline static double HalfRound(double x)
+ {
+ return ldexp(x, -9);
+ }
+
+ inline static double IHalfRound(double x)
+ {
+ return ldexp(x, 9);
+ }
+
+ // boolean operations on polygons (requests intersection-free poylygons)
+ // boolean operation types are defined in LivarotDefs.h
+ // same return code as ConvertToShape
+ int Booleen(Shape *a, Shape *b, BooleanOp mod, int cutPathID = -1);
+
+ // create a graph that is an offseted version of the graph "of"
+ // the offset is dec, with joins between edges of type "join" (see LivarotDefs.h)
+ // the result is NOT a polygon; you need a subsequent call to ConvertToShape to get a real polygon
+ int MakeOffset(Shape *of, double dec, JoinType join, double miter, bool do_profile=false, double cx = 0, double cy = 0, double radius = 0, Geom::Affine *i2doc = nullptr);
+
+ int MakeTweak (int mode, Shape *a, double dec, JoinType join, double miter, bool do_profile, Geom::Point c, Geom::Point vector, double radius, Geom::Affine *i2doc);
+
+ int PtWinding(const Geom::Point px) const; // plus rapide
+ int Winding(const Geom::Point px) const;
+
+ // rasterization
+ void BeginRaster(float &pos, int &curPt);
+ void EndRaster();
+ void BeginQuickRaster(float &pos, int &curPt);
+ void EndQuickRaster();
+
+ void Scan(float &pos, int &curP, float to, float step);
+ void QuickScan(float &pos, int &curP, float to, bool doSort, float step);
+ void DirectScan(float &pos, int &curP, float to, float step);
+ void DirectQuickScan(float &pos, int &curP, float to, bool doSort, float step);
+
+ void Scan(float &pos, int &curP, float to, FloatLigne *line, bool exact, float step);
+ void Scan(float &pos, int &curP, float to, FillRule directed, BitLigne *line, bool exact, float step);
+ void Scan(float &pos, int &curP, float to, AlphaLigne *line, bool exact, float step);
+
+ void QuickScan(float &pos, int &curP, float to, FloatLigne* line, float step);
+ void QuickScan(float &pos, int &curP, float to, FillRule directed, BitLigne* line, float step);
+ void QuickScan(float &pos, int &curP, float to, AlphaLigne* line, float step);
+
+ void Transform(Geom::Affine const &tr)
+ {for(auto & _pt : _pts) _pt.x*=tr;}
+
+ std::vector<back_data> ebData;
+ std::vector<voronoi_point> vorpData;
+ std::vector<voronoi_edge> voreData;
+
+ int nbQRas;
+ int firstQRas;
+ int lastQRas;
+ quick_raster_data *qrsData;
+
+ std::vector<sTreeChange> chgts;
+ int nbInc;
+ int maxInc;
+
+ incidenceData *iData;
+ // these ones are allocated at the beginning of each sweep and freed at the end of the sweep
+ SweepTreeList *sTree;
+ SweepEventQueue *sEvts;
+
+ // bounding box stuff
+ double leftX, topY, rightX, bottomY;
+
+ // topological information: who links who?
+ struct dg_point
+ {
+ Geom::Point x; // position
+ int dI, dO; // indegree and outdegree
+ int incidentEdge[2]; // first and last incident edge
+ int oldDegree;
+
+ int totalDegree() const { return dI + dO; }
+ };
+
+ struct dg_arete
+ {
+ Geom::Point dx; // edge vector
+ int st, en; // start and end points of the edge
+ int nextS, prevS; // next and previous edge in the double-linked list at the start point
+ int nextE, prevE; // next and previous edge in the double-linked list at the end point
+ };
+
+ // lists of the nodes and edges
+ int maxPt; // [FIXME: remove this]
+ int maxAr; // [FIXME: remove this]
+
+ // flags
+ int type;
+
+ inline int numberOfPoints() const { return _pts.size(); }
+ inline bool hasPoints() const { return (_pts.empty() == false); }
+ inline int numberOfEdges() const { return _aretes.size(); }
+ inline bool hasEdges() const { return (_aretes.empty() == false); }
+
+ inline void needPointsSorting() { _need_points_sorting = true; }
+ inline void needEdgesSorting() { _need_edges_sorting = true; }
+
+ inline bool hasBackData() const { return _has_back_data; }
+
+ inline dg_point const &getPoint(int n) const { return _pts[n]; }
+ inline dg_arete const &getEdge(int n) const { return _aretes[n]; }
+
+private:
+
+ friend class SweepTree;
+ friend class SweepEvent;
+ friend class SweepEventQueue;
+
+ // temporary data for the various algorithms
+ struct edge_data
+ {
+ int weight; // weight of the edge (to handle multiple edges)
+ Geom::Point rdx; // rounded edge vector
+ double length, sqlength, ilength, isqlength; // length^2, length, 1/length^2, 1/length
+ double siEd, coEd; // siEd=abs(rdy/length) and coEd=rdx/length
+ edge_data() : weight(0), length(0.0), sqlength(0.0), ilength(0.0), isqlength(0.0), siEd(0.0), coEd(0.0) {}
+ // used to determine the "most horizontal" edge between 2 edges
+ };
+
+ struct sweep_src_data
+ {
+ void *misc; // pointer to the SweepTree* in the sweepline
+ int firstLinkedPoint; // not used
+ int stPt, enPt; // start- end end- points for this edge in the resulting polygon
+ int ind; // for the GetAdjacencies function: index in the sliceSegs array (for quick deletions)
+ int leftRnd, rightRnd; // leftmost and rightmost points (in the result polygon) that are incident to
+ // the edge, for the current sweep position
+ // not set if the edge doesn't start/end or intersect at the current sweep position
+ Shape *nextSh; // nextSh and nextBo identify the next edge in the list
+ int nextBo; // they are used to maintain a linked list of edge that start/end or intersect at
+ // the current sweep position
+ int curPoint, doneTo;
+ double curT;
+ };
+
+ struct sweep_dest_data
+ {
+ void *misc; // used to check if an edge has already been seen during the depth-first search
+ int suivParc, precParc; // previous and current next edge in the depth-first search
+ int leW, riW; // left and right winding numbers for this edge
+ int ind; // order of the edges during the depth-first search
+ };
+
+ struct raster_data
+ {
+ SweepTree *misc; // pointer to the associated SweepTree* in the sweepline
+ double lastX, lastY, curX, curY; // curX;curY is the current intersection of the edge with the sweepline
+ // lastX;lastY is the intersection with the previous sweepline
+ bool sens; // true if the edge goes down, false otherwise
+ double calcX; // horizontal position of the intersection of the edge with the
+ // previous sweepline
+ double dxdy, dydx; // horizontal change per unit vertical move of the intersection with the sweepline
+ int guess;
+ };
+
+ struct point_data
+ {
+ int oldInd, newInd; // back and forth indices used when sorting the points, to know where they have
+ // been relocated in the array
+ int pending; // number of intersection attached to this edge, and also used when sorting arrays
+ int edgeOnLeft; // not used (should help speeding up winding calculations)
+ int nextLinkedPoint; // not used
+ Shape *askForWindingS;
+ int askForWindingB;
+ Geom::Point rx; // rounded coordinates of the point
+ };
+
+
+ struct edge_list
+ { // temporary array of edges for easier sorting
+ int no;
+ bool starting;
+ Geom::Point x;
+ };
+
+ void initialisePointData();
+ void initialiseEdgeData();
+ void clearIncidenceData();
+
+ void _countUpDown(int P, int *numberUp, int *numberDown, int *upEdge, int *downEdge) const;
+ void _countUpDownTotalDegree2(int P, int *numberUp, int *numberDown, int *upEdge, int *downEdge) const;
+ void _updateIntersection(int e, int p);
+
+ // activation/deactivation of the temporary data arrays
+ void MakePointData(bool nVal);
+ void MakeEdgeData(bool nVal);
+ void MakeSweepSrcData(bool nVal);
+ void MakeSweepDestData(bool nVal);
+ void MakeRasterData(bool nVal);
+ void MakeQuickRasterData(bool nVal);
+
+ void SortPoints(int s, int e);
+ void SortPointsByOldInd(int s, int e);
+
+ // fonctions annexes pour ConvertToShape et Booleen
+ void ResetSweep(); // allocates sweep structures
+ void CleanupSweep(); // deallocates them
+
+ // edge sorting function
+ void SortEdgesList(edge_list *edges, int s, int e);
+
+ void TesteIntersection(SweepTree *t, Side s, bool onlyDiff); // test if there is an intersection
+ bool TesteIntersection(SweepTree *iL, SweepTree *iR, Geom::Point &atx, double &atL, double &atR, bool onlyDiff);
+ bool TesteIntersection(Shape *iL, Shape *iR, int ilb, int irb,
+ Geom::Point &atx, double &atL, double &atR,
+ bool onlyDiff);
+ bool TesteAdjacency(Shape *iL, int ilb, const Geom::Point atx, int nPt,
+ bool push);
+ int PushIncidence(Shape *a, int cb, int pt, double theta);
+ int CreateIncidence(Shape *a, int cb, int pt);
+ void AssemblePoints(Shape *a);
+ int AssemblePoints(int st, int en);
+ void AssembleAretes(FillRule directed = fill_nonZero);
+ void AddChgt(int lastPointNo, int lastChgtPt, Shape *&shapeHead,
+ int &edgeHead, sTreeChangeType type, Shape *lS, int lB, Shape *rS,
+ int rB);
+ void CheckAdjacencies(int lastPointNo, int lastChgtPt, Shape *shapeHead, int edgeHead);
+ void CheckEdges(int lastPointNo, int lastChgtPt, Shape *a, Shape *b, BooleanOp mod);
+ void Avance(int lastPointNo, int lastChgtPt, Shape *iS, int iB, Shape *a, Shape *b, BooleanOp mod);
+ void DoEdgeTo(Shape *iS, int iB, int iTo, bool direct, bool sens);
+ void GetWindings(Shape *a, Shape *b = nullptr, BooleanOp mod = bool_op_union, bool brutal = false);
+
+ void Validate();
+
+ int Winding(int nPt) const;
+ void SortPointsRounded();
+ void SortPointsRounded(int s, int e);
+
+ void CreateEdge(int no, float to, float step);
+ void AvanceEdge(int no, float to, bool exact, float step);
+ void DestroyEdge(int no, float to, FloatLigne *line);
+ void AvanceEdge(int no, float to, FloatLigne *line, bool exact, float step);
+ void DestroyEdge(int no, BitLigne *line);
+ void AvanceEdge(int no, float to, BitLigne *line, bool exact, float step);
+ void DestroyEdge(int no, AlphaLigne *line);
+ void AvanceEdge(int no, float to, AlphaLigne *line, bool exact, float step);
+
+ void AddContour(Path * dest, int nbP, Path **orig, int startBord,
+ int curBord, bool splitWhenForced);
+ int ReFormeLineTo(int bord, int curBord, Path *dest, Path *orig);
+ int ReFormeArcTo(int bord, int curBord, Path *dest, Path *orig);
+ int ReFormeCubicTo(int bord, int curBord, Path *dest, Path *orig);
+ int ReFormeBezierTo(int bord, int curBord, Path *dest, Path *orig);
+ void ReFormeBezierChunk(const Geom::Point px, const Geom::Point nx,
+ Path *dest, int inBezier, int nbInterm,
+ Path *from, int p, double ts, double te);
+
+ int QuickRasterChgEdge(int oBord, int nbord, double x);
+ int QuickRasterAddEdge(int bord, double x, int guess);
+ void QuickRasterSubEdge(int bord);
+ void QuickRasterSwapEdge(int a, int b);
+ void QuickRasterSort();
+
+ bool _need_points_sorting; ///< points have been added or removed: we need to sort the points again
+ bool _need_edges_sorting; ///< edges have been added: maybe they are not ordered clockwise
+ ///< nota: if you remove an edge, the clockwise order still holds
+ bool _has_points_data; ///< the pData array is allocated
+ bool _point_data_initialised;///< the pData array is up to date
+ bool _has_edges_data; ///< the eData array is allocated
+ bool _has_sweep_src_data; ///< the swsData array is allocated
+ bool _has_sweep_dest_data; ///< the swdData array is allocated
+ bool _has_raster_data; ///< the swrData array is allocated
+ bool _has_quick_raster_data;///< the swrData array is allocated
+ bool _has_back_data; //< the ebData array is allocated
+ bool _has_voronoi_data;
+ bool _bbox_up_to_date; ///< the leftX/rightX/topY/bottomY are up to date
+
+ std::vector<dg_point> _pts;
+ std::vector<dg_arete> _aretes;
+
+ // the arrays of temporary data
+ // these ones are dynamically kept at a length of maxPt or maxAr
+ std::vector<edge_data> eData;
+ std::vector<sweep_src_data> swsData;
+ std::vector<sweep_dest_data> swdData;
+ std::vector<raster_data> swrData;
+ std::vector<point_data> pData;
+
+ static int CmpQRs(const quick_raster_data &p1, const quick_raster_data &p2) {
+ if ( fabs(p1.x - p2.x) < 0.00001 ) {
+ return 0;
+ }
+
+ return ( ( p1.x < p2.x ) ? -1 : 1 );
+ };
+
+ // edge direction comparison function
+ static int CmpToVert(const Geom::Point ax, const Geom::Point bx, bool as, bool bs);
+};
+
+bool directedEulerian(Shape const *s);
+double distance(Shape const *s, Geom::Point const &p);
+bool distanceLessThanOrEqual(Shape const *s, Geom::Point const &p, double const max_l2);
+
+#endif
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