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1 /*
2  * Copyright 2012 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 #ifndef SkIntersections_DEFINE
8 #define SkIntersections_DEFINE
9 
10 #include "src/pathops/SkPathOpsConic.h"
11 #include "src/pathops/SkPathOpsCubic.h"
12 #include "src/pathops/SkPathOpsLine.h"
13 #include "src/pathops/SkPathOpsPoint.h"
14 #include "src/pathops/SkPathOpsQuad.h"
15 
16 class SkIntersections {
17 public:
SkIntersections(SkDEBUGCODE (SkOpGlobalState * globalState=nullptr))18     SkIntersections(SkDEBUGCODE(SkOpGlobalState* globalState = nullptr))
19         : fSwap(0)
20 #ifdef SK_DEBUG
21         SkDEBUGPARAMS(fDebugGlobalState(globalState))
22         , fDepth(0)
23 #endif
24     {
25         sk_bzero(fPt, sizeof(fPt));
26         sk_bzero(fPt2, sizeof(fPt2));
27         sk_bzero(fT, sizeof(fT));
28         sk_bzero(fNearlySame, sizeof(fNearlySame));
29 #if DEBUG_T_SECT_LOOP_COUNT
30         sk_bzero(fDebugLoopCount, sizeof(fDebugLoopCount));
31 #endif
32         reset();
33         fMax = 0;  // require that the caller set the max
34     }
35 
36     class TArray {
37     public:
TArray(const double ts[10])38         explicit TArray(const double ts[10]) : fTArray(ts) {}
39         double operator[](int n) const {
40             return fTArray[n];
41         }
42         const double* fTArray;
43     };
44     TArray operator[](int n) const { return TArray(fT[n]); }
45 
allowNear(bool nearAllowed)46     void allowNear(bool nearAllowed) {
47         fAllowNear = nearAllowed;
48     }
49 
clearCoincidence(int index)50     void clearCoincidence(int index) {
51         SkASSERT(index >= 0);
52         int bit = 1 << index;
53         fIsCoincident[0] &= ~bit;
54         fIsCoincident[1] &= ~bit;
55     }
56 
conicHorizontal(const SkPoint a[3],SkScalar weight,SkScalar left,SkScalar right,SkScalar y,bool flipped)57     int conicHorizontal(const SkPoint a[3], SkScalar weight, SkScalar left, SkScalar right,
58                 SkScalar y, bool flipped) {
59         SkDConic conic;
60         conic.set(a, weight);
61         fMax = 2;
62         return horizontal(conic, left, right, y, flipped);
63     }
64 
conicVertical(const SkPoint a[3],SkScalar weight,SkScalar top,SkScalar bottom,SkScalar x,bool flipped)65     int conicVertical(const SkPoint a[3], SkScalar weight, SkScalar top, SkScalar bottom,
66             SkScalar x, bool flipped) {
67         SkDConic conic;
68         conic.set(a, weight);
69         fMax = 2;
70         return vertical(conic, top, bottom, x, flipped);
71     }
72 
conicLine(const SkPoint a[3],SkScalar weight,const SkPoint b[2])73     int conicLine(const SkPoint a[3], SkScalar weight, const SkPoint b[2]) {
74         SkDConic conic;
75         conic.set(a, weight);
76         SkDLine line;
77         line.set(b);
78         fMax = 3; // 2;  permit small coincident segment + non-coincident intersection
79         return intersect(conic, line);
80     }
81 
cubicHorizontal(const SkPoint a[4],SkScalar left,SkScalar right,SkScalar y,bool flipped)82     int cubicHorizontal(const SkPoint a[4], SkScalar left, SkScalar right, SkScalar y,
83                         bool flipped) {
84         SkDCubic cubic;
85         cubic.set(a);
86         fMax = 3;
87         return horizontal(cubic, left, right, y, flipped);
88     }
89 
cubicVertical(const SkPoint a[4],SkScalar top,SkScalar bottom,SkScalar x,bool flipped)90     int cubicVertical(const SkPoint a[4], SkScalar top, SkScalar bottom, SkScalar x, bool flipped) {
91         SkDCubic cubic;
92         cubic.set(a);
93         fMax = 3;
94         return vertical(cubic, top, bottom, x, flipped);
95     }
96 
cubicLine(const SkPoint a[4],const SkPoint b[2])97     int cubicLine(const SkPoint a[4], const SkPoint b[2]) {
98         SkDCubic cubic;
99         cubic.set(a);
100         SkDLine line;
101         line.set(b);
102         fMax = 3;
103         return intersect(cubic, line);
104     }
105 
106 #ifdef SK_DEBUG
globalState()107     SkOpGlobalState* globalState() const { return fDebugGlobalState; }
108 #endif
109 
hasT(double t)110     bool hasT(double t) const {
111         SkASSERT(t == 0 || t == 1);
112         return fUsed > 0 && (t == 0 ? fT[0][0] == 0 : fT[0][fUsed - 1] == 1);
113     }
114 
hasOppT(double t)115     bool hasOppT(double t) const {
116         SkASSERT(t == 0 || t == 1);
117         return fUsed > 0 && (fT[1][0] == t || fT[1][fUsed - 1] == t);
118     }
119 
insertSwap(double one,double two,const SkDPoint & pt)120     int insertSwap(double one, double two, const SkDPoint& pt) {
121         if (fSwap) {
122             return insert(two, one, pt);
123         } else {
124             return insert(one, two, pt);
125         }
126     }
127 
isCoincident(int index)128     bool isCoincident(int index) {
129         return (fIsCoincident[0] & 1 << index) != 0;
130     }
131 
lineHorizontal(const SkPoint a[2],SkScalar left,SkScalar right,SkScalar y,bool flipped)132     int lineHorizontal(const SkPoint a[2], SkScalar left, SkScalar right, SkScalar y,
133                        bool flipped) {
134         SkDLine line;
135         line.set(a);
136         fMax = 2;
137         return horizontal(line, left, right, y, flipped);
138     }
139 
lineVertical(const SkPoint a[2],SkScalar top,SkScalar bottom,SkScalar x,bool flipped)140     int lineVertical(const SkPoint a[2], SkScalar top, SkScalar bottom, SkScalar x, bool flipped) {
141         SkDLine line;
142         line.set(a);
143         fMax = 2;
144         return vertical(line, top, bottom, x, flipped);
145     }
146 
lineLine(const SkPoint a[2],const SkPoint b[2])147     int lineLine(const SkPoint a[2], const SkPoint b[2]) {
148         SkDLine aLine, bLine;
149         aLine.set(a);
150         bLine.set(b);
151         fMax = 2;
152         return intersect(aLine, bLine);
153     }
154 
nearlySame(int index)155     bool nearlySame(int index) const {
156         SkASSERT(index == 0 || index == 1);
157         return fNearlySame[index];
158     }
159 
pt(int index)160     const SkDPoint& pt(int index) const {
161         return fPt[index];
162     }
163 
pt2(int index)164     const SkDPoint& pt2(int index) const {
165         return fPt2[index];
166     }
167 
quadHorizontal(const SkPoint a[3],SkScalar left,SkScalar right,SkScalar y,bool flipped)168     int quadHorizontal(const SkPoint a[3], SkScalar left, SkScalar right, SkScalar y,
169                        bool flipped) {
170         SkDQuad quad;
171         quad.set(a);
172         fMax = 2;
173         return horizontal(quad, left, right, y, flipped);
174     }
175 
quadVertical(const SkPoint a[3],SkScalar top,SkScalar bottom,SkScalar x,bool flipped)176     int quadVertical(const SkPoint a[3], SkScalar top, SkScalar bottom, SkScalar x, bool flipped) {
177         SkDQuad quad;
178         quad.set(a);
179         fMax = 2;
180         return vertical(quad, top, bottom, x, flipped);
181     }
182 
quadLine(const SkPoint a[3],const SkPoint b[2])183     int quadLine(const SkPoint a[3], const SkPoint b[2]) {
184         SkDQuad quad;
185         quad.set(a);
186         SkDLine line;
187         line.set(b);
188         return intersect(quad, line);
189     }
190 
191     // leaves swap, max alone
reset()192     void reset() {
193         fAllowNear = true;
194         fUsed = 0;
195         sk_bzero(fIsCoincident, sizeof(fIsCoincident));
196     }
197 
set(bool swap,int tIndex,double t)198     void set(bool swap, int tIndex, double t) {
199         fT[(int) swap][tIndex] = t;
200     }
201 
setMax(int max)202     void setMax(int max) {
203         SkASSERT(max <= (int) SK_ARRAY_COUNT(fPt));
204         fMax = max;
205     }
206 
swap()207     void swap() {
208         fSwap ^= true;
209     }
210 
swapped()211     bool swapped() const {
212         return fSwap;
213     }
214 
used()215     int used() const {
216         return fUsed;
217     }
218 
downDepth()219     void downDepth() {
220         SkASSERT(--fDepth >= 0);
221     }
222 
unBumpT(int index)223     bool unBumpT(int index) {
224         SkASSERT(fUsed == 1);
225         fT[0][index] = fT[0][index] * (1 + BUMP_EPSILON * 2) - BUMP_EPSILON;
226         if (!between(0, fT[0][index], 1)) {
227             fUsed = 0;
228             return false;
229         }
230         return true;
231     }
232 
upDepth()233     void upDepth() {
234         SkASSERT(++fDepth < 16);
235     }
236 
237     void alignQuadPts(const SkPoint a[3], const SkPoint b[3]);
238     int cleanUpCoincidence();
239     int closestTo(double rangeStart, double rangeEnd, const SkDPoint& testPt, double* dist) const;
240     void cubicInsert(double one, double two, const SkDPoint& pt, const SkDCubic& c1,
241                      const SkDCubic& c2);
242     void flip();
243     int horizontal(const SkDLine&, double left, double right, double y, bool flipped);
244     int horizontal(const SkDQuad&, double left, double right, double y, bool flipped);
245     int horizontal(const SkDQuad&, double left, double right, double y, double tRange[2]);
246     int horizontal(const SkDCubic&, double y, double tRange[3]);
247     int horizontal(const SkDConic&, double left, double right, double y, bool flipped);
248     int horizontal(const SkDCubic&, double left, double right, double y, bool flipped);
249     int horizontal(const SkDCubic&, double left, double right, double y, double tRange[3]);
250     static double HorizontalIntercept(const SkDLine& line, double y);
251     static int HorizontalIntercept(const SkDQuad& quad, SkScalar y, double* roots);
252     static int HorizontalIntercept(const SkDConic& conic, SkScalar y, double* roots);
253     // FIXME : does not respect swap
254     int insert(double one, double two, const SkDPoint& pt);
255     void insertNear(double one, double two, const SkDPoint& pt1, const SkDPoint& pt2);
256     // start if index == 0 : end if index == 1
257     int insertCoincident(double one, double two, const SkDPoint& pt);
258     int intersect(const SkDLine&, const SkDLine&);
259     int intersect(const SkDQuad&, const SkDLine&);
260     int intersect(const SkDQuad&, const SkDQuad&);
261     int intersect(const SkDConic&, const SkDLine&);
262     int intersect(const SkDConic&, const SkDQuad&);
263     int intersect(const SkDConic&, const SkDConic&);
264     int intersect(const SkDCubic&, const SkDLine&);
265     int intersect(const SkDCubic&, const SkDQuad&);
266     int intersect(const SkDCubic&, const SkDConic&);
267     int intersect(const SkDCubic&, const SkDCubic&);
268     int intersectRay(const SkDLine&, const SkDLine&);
269     int intersectRay(const SkDQuad&, const SkDLine&);
270     int intersectRay(const SkDConic&, const SkDLine&);
271     int intersectRay(const SkDCubic&, const SkDLine&);
intersectRay(const SkTCurve & tCurve,const SkDLine & line)272     int intersectRay(const SkTCurve& tCurve, const SkDLine& line) {
273         return tCurve.intersectRay(this, line);
274     }
275 
276     void merge(const SkIntersections& , int , const SkIntersections& , int );
277     int mostOutside(double rangeStart, double rangeEnd, const SkDPoint& origin) const;
278     void removeOne(int index);
279     void setCoincident(int index);
280     int vertical(const SkDLine&, double top, double bottom, double x, bool flipped);
281     int vertical(const SkDQuad&, double top, double bottom, double x, bool flipped);
282     int vertical(const SkDConic&, double top, double bottom, double x, bool flipped);
283     int vertical(const SkDCubic&, double top, double bottom, double x, bool flipped);
284     static double VerticalIntercept(const SkDLine& line, double x);
285     static int VerticalIntercept(const SkDQuad& quad, SkScalar x, double* roots);
286     static int VerticalIntercept(const SkDConic& conic, SkScalar x, double* roots);
287 
depth()288     int depth() const {
289 #ifdef SK_DEBUG
290         return fDepth;
291 #else
292         return 0;
293 #endif
294     }
295 
296     enum DebugLoop {
297         kIterations_DebugLoop,
298         kCoinCheck_DebugLoop,
299         kComputePerp_DebugLoop,
300     };
301 
302     void debugBumpLoopCount(DebugLoop );
303     int debugCoincidentUsed() const;
304     int debugLoopCount(DebugLoop ) const;
305     void debugResetLoopCount();
306     void dump() const;  // implemented for testing only
307 
308 private:
309     bool cubicCheckCoincidence(const SkDCubic& c1, const SkDCubic& c2);
310     bool cubicExactEnd(const SkDCubic& cubic1, bool start, const SkDCubic& cubic2);
311     void cubicNearEnd(const SkDCubic& cubic1, bool start, const SkDCubic& cubic2, const SkDRect& );
312     void cleanUpParallelLines(bool parallel);
313     void computePoints(const SkDLine& line, int used);
314 
315     SkDPoint fPt[13];  // FIXME: since scans store points as SkPoint, this should also
316     SkDPoint fPt2[2];  // used by nearly same to store alternate intersection point
317     double fT[2][13];
318     uint16_t fIsCoincident[2];  // bit set for each curve's coincident T
319     bool fNearlySame[2];  // true if end points nearly match
320     unsigned char fUsed;
321     unsigned char fMax;
322     bool fAllowNear;
323     bool fSwap;
324 #ifdef SK_DEBUG
325     SkOpGlobalState* fDebugGlobalState;
326     int fDepth;
327 #endif
328 #if DEBUG_T_SECT_LOOP_COUNT
329     int fDebugLoopCount[3];
330 #endif
331 };
332 
333 #endif
334