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1 /*
2  * Copyright 2015 Google Inc.
3  *
4  * Use of this source code is governed by a BSD-style license that can be
5  * found in the LICENSE file.
6  */
7 
8 #ifndef GrAAConvexTessellator_DEFINED
9 #define GrAAConvexTessellator_DEFINED
10 
11 #include "include/core/SkColor.h"
12 #include "include/core/SkPaint.h"
13 #include "include/core/SkScalar.h"
14 #include "include/core/SkStrokeRec.h"
15 #include "include/private/SkTDArray.h"
16 #include "src/core/SkPointPriv.h"
17 
18 class SkCanvas;
19 class SkMatrix;
20 class SkPath;
21 
22 //#define GR_AA_CONVEX_TESSELLATOR_VIZ 1
23 
24 // device space distance which we inset / outset points in order to create the soft antialiased edge
25 static const SkScalar kAntialiasingRadius = 0.5f;
26 
27 class GrAAConvexTessellator;
28 
29 // The AAConvexTessellator holds the global pool of points and the triangulation
30 // that connects them. It also drives the tessellation process.
31 // The outward facing normals of the original polygon are stored (in 'fNorms') to service
32 // computeDepthFromEdge requests.
33 class GrAAConvexTessellator {
34 public:
35     GrAAConvexTessellator(SkStrokeRec::Style style = SkStrokeRec::kFill_Style,
36                           SkScalar strokeWidth = -1.0f,
37                           SkPaint::Join join = SkPaint::Join::kBevel_Join,
38                           SkScalar miterLimit = 0.0f)
fSide(SkPointPriv::kOn_Side)39         : fSide(SkPointPriv::kOn_Side)
40         , fStrokeWidth(strokeWidth)
41         , fStyle(style)
42         , fJoin(join)
43         , fMiterLimit(miterLimit) {
44     }
45 
side()46     SkPointPriv::Side side() const { return fSide; }
47 
48     bool tessellate(const SkMatrix& m, const SkPath& path);
49 
50     // The next five should only be called after tessellate to extract the result
numPts()51     int numPts() const { return fPts.count(); }
numIndices()52     int numIndices() const { return fIndices.count(); }
53 
lastPoint()54     const SkPoint& lastPoint() const { return fPts.top(); }
point(int index)55     const SkPoint& point(int index) const { return fPts[index]; }
index(int index)56     int index(int index) const { return fIndices[index]; }
coverage(int index)57     SkScalar coverage(int index) const { return fCoverages[index]; }
58 
59 #if GR_AA_CONVEX_TESSELLATOR_VIZ
60     void draw(SkCanvas* canvas) const;
61 #endif
62 
63     // The tessellator can be reused for multiple paths by rewinding in between
64     void rewind();
65 
66 private:
67     // CandidateVerts holds the vertices for the next ring while they are
68     // being generated. Its main function is to de-dup the points.
69     class CandidateVerts {
70     public:
setReserve(int numPts)71         void setReserve(int numPts) { fPts.setReserve(numPts); }
rewind()72         void rewind() { fPts.rewind(); }
73 
numPts()74         int numPts() const { return fPts.count(); }
75 
lastPoint()76         const SkPoint& lastPoint() const { return fPts.top().fPt; }
firstPoint()77         const SkPoint& firstPoint() const { return fPts[0].fPt; }
point(int index)78         const SkPoint& point(int index) const { return fPts[index].fPt; }
79 
originatingIdx(int index)80         int originatingIdx(int index) const { return fPts[index].fOriginatingIdx; }
origEdge(int index)81         int origEdge(int index) const { return fPts[index].fOrigEdgeId; }
needsToBeNew(int index)82         bool needsToBeNew(int index) const { return fPts[index].fNeedsToBeNew; }
83 
addNewPt(const SkPoint & newPt,int originatingIdx,int origEdge,bool needsToBeNew)84         int addNewPt(const SkPoint& newPt, int originatingIdx, int origEdge, bool needsToBeNew) {
85             struct PointData* pt = fPts.push();
86             pt->fPt = newPt;
87             pt->fOrigEdgeId = origEdge;
88             pt->fOriginatingIdx = originatingIdx;
89             pt->fNeedsToBeNew = needsToBeNew;
90             return fPts.count() - 1;
91         }
92 
fuseWithPrior(int origEdgeId)93         int fuseWithPrior(int origEdgeId) {
94             fPts.top().fOrigEdgeId = origEdgeId;
95             fPts.top().fOriginatingIdx = -1;
96             fPts.top().fNeedsToBeNew = true;
97             return fPts.count() - 1;
98         }
99 
fuseWithNext()100         int fuseWithNext() {
101             fPts[0].fOriginatingIdx = -1;
102             fPts[0].fNeedsToBeNew = true;
103             return 0;
104         }
105 
fuseWithBoth()106         int fuseWithBoth() {
107             if (fPts.count() > 1) {
108                 fPts.pop();
109             }
110 
111             fPts[0].fOriginatingIdx = -1;
112             fPts[0].fNeedsToBeNew = true;
113             return 0;
114         }
115 
116     private:
117         struct PointData {
118             SkPoint fPt;
119             int     fOriginatingIdx;
120             int     fOrigEdgeId;
121             bool    fNeedsToBeNew;
122         };
123 
124         SkTDArray<struct PointData> fPts;
125     };
126 
127     // The Ring holds a set of indices into the global pool that together define
128     // a single polygon inset.
129     class Ring {
130     public:
setReserve(int numPts)131         void setReserve(int numPts) { fPts.setReserve(numPts); }
rewind()132         void rewind() { fPts.rewind(); }
133 
numPts()134         int numPts() const { return fPts.count(); }
135 
addIdx(int index,int origEdgeId)136         void addIdx(int index, int origEdgeId) {
137             struct PointData* pt = fPts.push();
138             pt->fIndex = index;
139             pt->fOrigEdgeId = origEdgeId;
140         }
141 
142         // Upgrade this ring so that it can behave like an originating ring
makeOriginalRing()143         void makeOriginalRing() {
144             for (int i = 0; i < fPts.count(); ++i) {
145                 fPts[i].fOrigEdgeId = fPts[i].fIndex;
146             }
147         }
148 
149         // init should be called after all the indices have been added (via addIdx)
150         void init(const GrAAConvexTessellator& tess);
151         void init(const SkTDArray<SkVector>& norms, const SkTDArray<SkVector>& bisectors);
152 
norm(int index)153         const SkPoint& norm(int index) const { return fPts[index].fNorm; }
bisector(int index)154         const SkPoint& bisector(int index) const { return fPts[index].fBisector; }
index(int index)155         int index(int index) const { return fPts[index].fIndex; }
origEdgeID(int index)156         int origEdgeID(int index) const { return fPts[index].fOrigEdgeId; }
setOrigEdgeId(int index,int id)157         void setOrigEdgeId(int index, int id) { fPts[index].fOrigEdgeId = id; }
158 
159     #if GR_AA_CONVEX_TESSELLATOR_VIZ
160         void draw(SkCanvas* canvas, const GrAAConvexTessellator& tess) const;
161     #endif
162 
163     private:
164         void computeNormals(const GrAAConvexTessellator& result);
165         void computeBisectors(const GrAAConvexTessellator& tess);
166 
167         SkDEBUGCODE(bool isConvex(const GrAAConvexTessellator& tess) const;)
168 
169         struct PointData {
170             SkPoint fNorm;
171             SkPoint fBisector;
172             int     fIndex;
173             int     fOrigEdgeId;
174         };
175 
176         SkTDArray<PointData> fPts;
177     };
178 
179     // Represents whether a given point is within a curve. A point is inside a curve only if it is
180     // an interior point within a quad, cubic, or conic, or if it is the endpoint of a quad, cubic,
181     // or conic with another curve meeting it at (more or less) the same angle.
182     enum CurveState {
183         // point is a sharp vertex
184         kSharp_CurveState,
185         // endpoint of a curve with the other side's curvature not yet determined
186         kIndeterminate_CurveState,
187         // point is in the interior of a curve
188         kCurve_CurveState
189     };
190 
movable(int index)191     bool movable(int index) const { return fMovable[index]; }
192 
193     // Movable points are those that can be slid along their bisector.
194     // Basically, a point is immovable if it is part of the original
195     // polygon or it results from the fusing of two bisectors.
196     int addPt(const SkPoint& pt, SkScalar depth, SkScalar coverage, bool movable, CurveState curve);
197     void popLastPt();
198     void popFirstPtShuffle();
199 
200     void updatePt(int index, const SkPoint& pt, SkScalar depth, SkScalar coverage);
201 
202     void addTri(int i0, int i1, int i2);
203 
reservePts(int count)204     void reservePts(int count) {
205         fPts.setReserve(count);
206         fCoverages.setReserve(count);
207         fMovable.setReserve(count);
208     }
209 
210     SkScalar computeDepthFromEdge(int edgeIdx, const SkPoint& p) const;
211 
212     bool computePtAlongBisector(int startIdx, const SkPoint& bisector,
213                                 int edgeIdx, SkScalar desiredDepth,
214                                 SkPoint* result) const;
215 
216     void lineTo(const SkPoint& p, CurveState curve);
217 
218     void lineTo(const SkMatrix& m, SkPoint p, CurveState curve);
219 
220     void quadTo(const SkPoint pts[3]);
221 
222     void quadTo(const SkMatrix& m, SkPoint pts[3]);
223 
224     void cubicTo(const SkMatrix& m, SkPoint pts[4]);
225 
226     void conicTo(const SkMatrix& m, SkPoint pts[3], SkScalar w);
227 
228     void terminate(const Ring& lastRing);
229 
230     // return false on failure/degenerate path
231     bool extractFromPath(const SkMatrix& m, const SkPath& path);
232     void computeBisectors();
233     void computeNormals();
234 
235     void fanRing(const Ring& ring);
236 
237     Ring* getNextRing(Ring* lastRing);
238 
239     void createOuterRing(const Ring& previousRing, SkScalar outset, SkScalar coverage,
240                          Ring* nextRing);
241 
242     bool createInsetRings(Ring& previousRing, SkScalar initialDepth, SkScalar initialCoverage,
243                           SkScalar targetDepth, SkScalar targetCoverage, Ring** finalRing);
244 
245     bool createInsetRing(const Ring& lastRing, Ring* nextRing,
246                          SkScalar initialDepth, SkScalar initialCoverage, SkScalar targetDepth,
247                          SkScalar targetCoverage, bool forceNew);
248 
249     void validate() const;
250 
251     // fPts, fCoverages, fMovable & fCurveState should always have the same # of elements
252     SkTDArray<SkPoint>    fPts;
253     SkTDArray<SkScalar>   fCoverages;
254     // movable points are those that can be slid further along their bisector
255     SkTDArray<bool>       fMovable;
256     // Tracks whether a given point is interior to a curve. Such points are
257     // assumed to have shallow curvature.
258     SkTDArray<CurveState> fCurveState;
259 
260     // The outward facing normals for the original polygon
261     SkTDArray<SkVector>   fNorms;
262     // The inward facing bisector at each point in the original polygon. Only
263     // needed for exterior ring creation and then handed off to the initial ring.
264     SkTDArray<SkVector>   fBisectors;
265 
266     SkPointPriv::Side     fSide;    // winding of the original polygon
267 
268     // The triangulation of the points
269     SkTDArray<int>        fIndices;
270 
271     Ring                  fInitialRing;
272 #if GR_AA_CONVEX_TESSELLATOR_VIZ
273     // When visualizing save all the rings
274     SkTDArray<Ring*>      fRings;
275 #else
276     Ring                  fRings[2];
277 #endif
278     CandidateVerts        fCandidateVerts;
279 
280     // the stroke width is only used for stroke or stroke-and-fill styles
281     SkScalar              fStrokeWidth;
282     SkStrokeRec::Style    fStyle;
283 
284     SkPaint::Join         fJoin;
285 
286     SkScalar              fMiterLimit;
287 
288     SkTDArray<SkPoint>    fPointBuffer;
289 };
290 
291 
292 #endif
293