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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 #include "SkOpSpan.h"
8 #include "SkPathOpsPoint.h"
9 #include "SkPathWriter.h"
10 #include "SkTSort.h"
11 
12 // wrap path to keep track of whether the contour is initialized and non-empty
SkPathWriter(SkPath & path)13 SkPathWriter::SkPathWriter(SkPath& path)
14     : fPathPtr(&path)
15 {
16     init();
17 }
18 
close()19 void SkPathWriter::close() {
20     if (fCurrent.isEmpty()) {
21         return;
22     }
23     SkASSERT(this->isClosed());
24 #if DEBUG_PATH_CONSTRUCTION
25     SkDebugf("path.close();\n");
26 #endif
27     fCurrent.close();
28     fPathPtr->addPath(fCurrent);
29     fCurrent.reset();
30     init();
31 }
32 
conicTo(const SkPoint & pt1,const SkOpPtT * pt2,SkScalar weight)33 void SkPathWriter::conicTo(const SkPoint& pt1, const SkOpPtT* pt2, SkScalar weight) {
34     this->update(pt2);
35 #if DEBUG_PATH_CONSTRUCTION
36     SkDebugf("path.conicTo(%1.9g,%1.9g, %1.9g,%1.9g, %1.9g);\n",
37             pt1.fX, pt1.fY, pt2->fPt.fX, pt2->fPt.fY, weight);
38 #endif
39     fCurrent.conicTo(pt1, pt2->fPt, weight);
40 }
41 
cubicTo(const SkPoint & pt1,const SkPoint & pt2,const SkOpPtT * pt3)42 void SkPathWriter::cubicTo(const SkPoint& pt1, const SkPoint& pt2, const SkOpPtT* pt3) {
43     this->update(pt3);
44 #if DEBUG_PATH_CONSTRUCTION
45     SkDebugf("path.cubicTo(%1.9g,%1.9g, %1.9g,%1.9g, %1.9g,%1.9g);\n",
46             pt1.fX, pt1.fY, pt2.fX, pt2.fY, pt3->fPt.fX, pt3->fPt.fY);
47 #endif
48     fCurrent.cubicTo(pt1, pt2, pt3->fPt);
49 }
50 
deferredLine(const SkOpPtT * pt)51 bool SkPathWriter::deferredLine(const SkOpPtT* pt) {
52     SkASSERT(fFirstPtT);
53     SkASSERT(fDefer[0]);
54     if (fDefer[0] == pt) {
55         // FIXME: why we're adding a degenerate line? Caller should have preflighted this.
56         return true;
57     }
58     if (pt->contains(fDefer[0])) {
59         // FIXME: why we're adding a degenerate line?
60         return true;
61     }
62     if (this->matchedLast(pt)) {
63         return false;
64     }
65     if (fDefer[1] && this->changedSlopes(pt)) {
66         this->lineTo();
67         fDefer[0] = fDefer[1];
68     }
69     fDefer[1] = pt;
70     return true;
71 }
72 
deferredMove(const SkOpPtT * pt)73 void SkPathWriter::deferredMove(const SkOpPtT* pt) {
74     if (!fDefer[1]) {
75         fFirstPtT = fDefer[0] = pt;
76         return;
77     }
78     SkASSERT(fDefer[0]);
79     if (!this->matchedLast(pt)) {
80         this->finishContour();
81         fFirstPtT = fDefer[0] = pt;
82     }
83 }
84 
finishContour()85 void SkPathWriter::finishContour() {
86     if (!this->matchedLast(fDefer[0])) {
87         if (!fDefer[1]) {
88           return;
89         }
90         this->lineTo();
91     }
92     if (fCurrent.isEmpty()) {
93         return;
94     }
95     if (this->isClosed()) {
96         this->close();
97     } else {
98         SkASSERT(fDefer[1]);
99         fEndPtTs.push(fFirstPtT);
100         fEndPtTs.push(fDefer[1]);
101         fPartials.push_back(fCurrent);
102         this->init();
103     }
104 }
105 
init()106 void SkPathWriter::init() {
107     fCurrent.reset();
108     fFirstPtT = fDefer[0] = fDefer[1] = nullptr;
109 }
110 
isClosed() const111 bool SkPathWriter::isClosed() const {
112     return this->matchedLast(fFirstPtT);
113 }
114 
lineTo()115 void SkPathWriter::lineTo() {
116     if (fCurrent.isEmpty()) {
117         this->moveTo();
118     }
119 #if DEBUG_PATH_CONSTRUCTION
120     SkDebugf("path.lineTo(%1.9g,%1.9g);\n", fDefer[1]->fPt.fX, fDefer[1]->fPt.fY);
121 #endif
122     fCurrent.lineTo(fDefer[1]->fPt);
123 }
124 
matchedLast(const SkOpPtT * test) const125 bool SkPathWriter::matchedLast(const SkOpPtT* test) const {
126     if (test == fDefer[1]) {
127         return true;
128     }
129     if (!test) {
130         return false;
131     }
132     if (!fDefer[1]) {
133         return false;
134     }
135     return test->contains(fDefer[1]);
136 }
137 
moveTo()138 void SkPathWriter::moveTo() {
139 #if DEBUG_PATH_CONSTRUCTION
140     SkDebugf("path.moveTo(%1.9g,%1.9g);\n", fFirstPtT->fPt.fX, fFirstPtT->fPt.fY);
141 #endif
142     fCurrent.moveTo(fFirstPtT->fPt);
143 }
144 
quadTo(const SkPoint & pt1,const SkOpPtT * pt2)145 void SkPathWriter::quadTo(const SkPoint& pt1, const SkOpPtT* pt2) {
146     this->update(pt2);
147 #if DEBUG_PATH_CONSTRUCTION
148     SkDebugf("path.quadTo(%1.9g,%1.9g, %1.9g,%1.9g);\n",
149             pt1.fX, pt1.fY, pt2->fPt.fX, pt2->fPt.fY);
150 #endif
151     fCurrent.quadTo(pt1, pt2->fPt);
152 }
153 
update(const SkOpPtT * pt)154 void SkPathWriter::update(const SkOpPtT* pt) {
155     if (!fDefer[1]) {
156         this->moveTo();
157     } else if (!this->matchedLast(fDefer[0])) {
158         this->lineTo();
159     }
160     fDefer[0] = fDefer[1] = pt;  // set both to know that there is not a pending deferred line
161 }
162 
someAssemblyRequired()163 bool SkPathWriter::someAssemblyRequired() {
164     this->finishContour();
165     return fEndPtTs.count() > 0;
166 }
167 
changedSlopes(const SkOpPtT * ptT) const168 bool SkPathWriter::changedSlopes(const SkOpPtT* ptT) const {
169     if (matchedLast(fDefer[0])) {
170         return false;
171     }
172     SkVector deferDxdy = fDefer[1]->fPt - fDefer[0]->fPt;
173     SkVector lineDxdy = ptT->fPt - fDefer[1]->fPt;
174     return deferDxdy.fX * lineDxdy.fY != deferDxdy.fY * lineDxdy.fX;
175 }
176 
177 class DistanceLessThan {
178 public:
DistanceLessThan(double * distances)179     DistanceLessThan(double* distances) : fDistances(distances) { }
180     double* fDistances;
operator ()(const int one,const int two)181     bool operator()(const int one, const int two) {
182         return fDistances[one] < fDistances[two];
183     }
184 };
185 
186     /*
187         check start and end of each contour
188         if not the same, record them
189         match them up
190         connect closest
191         reassemble contour pieces into new path
192     */
assemble()193 void SkPathWriter::assemble() {
194 #if DEBUG_SHOW_TEST_NAME
195     SkDebugf("</div>\n");
196 #endif
197     if (!this->someAssemblyRequired()) {
198         return;
199     }
200 #if DEBUG_PATH_CONSTRUCTION
201     SkDebugf("%s\n", __FUNCTION__);
202 #endif
203     SkOpPtT const* const* runs = fEndPtTs.begin();  // starts, ends of partial contours
204     int endCount = fEndPtTs.count(); // all starts and ends
205     SkASSERT(endCount > 0);
206     SkASSERT(endCount == fPartials.count() * 2);
207 #if DEBUG_ASSEMBLE
208     for (int index = 0; index < endCount; index += 2) {
209         const SkOpPtT* eStart = runs[index];
210         const SkOpPtT* eEnd = runs[index + 1];
211         SkASSERT(eStart != eEnd);
212         SkASSERT(!eStart->contains(eEnd));
213         SkDebugf("%s contour start=(%1.9g,%1.9g) end=(%1.9g,%1.9g)\n", __FUNCTION__,
214                 eStart->fPt.fX, eStart->fPt.fY, eEnd->fPt.fX, eEnd->fPt.fY);
215     }
216 #endif
217     SkTDArray<int> sLink, eLink;
218     int linkCount = endCount / 2; // number of partial contours
219     sLink.append(linkCount);
220     eLink.append(linkCount);
221     int rIndex, iIndex;
222     for (rIndex = 0; rIndex < linkCount; ++rIndex) {
223         sLink[rIndex] = eLink[rIndex] = SK_MaxS32;
224     }
225     const int entries = endCount * (endCount - 1) / 2;  // folded triangle
226     SkSTArray<8, double, true> distances(entries);
227     SkSTArray<8, int, true> sortedDist(entries);
228     SkSTArray<8, int, true> distLookup(entries);
229     int rRow = 0;
230     int dIndex = 0;
231     for (rIndex = 0; rIndex < endCount - 1; ++rIndex) {
232         const SkOpPtT* oPtT = runs[rIndex];
233         for (iIndex = rIndex + 1; iIndex < endCount; ++iIndex) {
234             const SkOpPtT* iPtT = runs[iIndex];
235             double dx = iPtT->fPt.fX - oPtT->fPt.fX;
236             double dy = iPtT->fPt.fY - oPtT->fPt.fY;
237             double dist = dx * dx + dy * dy;
238             distLookup.push_back(rRow + iIndex);
239             distances.push_back(dist);  // oStart distance from iStart
240             sortedDist.push_back(dIndex++);
241         }
242         rRow += endCount;
243     }
244     SkASSERT(dIndex == entries);
245     SkTQSort<int>(sortedDist.begin(), sortedDist.end() - 1, DistanceLessThan(distances.begin()));
246     int remaining = linkCount;  // number of start/end pairs
247     for (rIndex = 0; rIndex < entries; ++rIndex) {
248         int pair = sortedDist[rIndex];
249         pair = distLookup[pair];
250         int row = pair / endCount;
251         int col = pair - row * endCount;
252         int ndxOne = row >> 1;
253         bool endOne = row & 1;
254         int* linkOne = endOne ? eLink.begin() : sLink.begin();
255         if (linkOne[ndxOne] != SK_MaxS32) {
256             continue;
257         }
258         int ndxTwo = col >> 1;
259         bool endTwo = col & 1;
260         int* linkTwo = endTwo ? eLink.begin() : sLink.begin();
261         if (linkTwo[ndxTwo] != SK_MaxS32) {
262             continue;
263         }
264         SkASSERT(&linkOne[ndxOne] != &linkTwo[ndxTwo]);
265         bool flip = endOne == endTwo;
266         linkOne[ndxOne] = flip ? ~ndxTwo : ndxTwo;
267         linkTwo[ndxTwo] = flip ? ~ndxOne : ndxOne;
268         if (!--remaining) {
269             break;
270         }
271     }
272     SkASSERT(!remaining);
273 #if DEBUG_ASSEMBLE
274     for (rIndex = 0; rIndex < linkCount; ++rIndex) {
275         int s = sLink[rIndex];
276         int e = eLink[rIndex];
277         SkDebugf("%s %c%d <- s%d - e%d -> %c%d\n", __FUNCTION__, s < 0 ? 's' : 'e',
278                 s < 0 ? ~s : s, rIndex, rIndex, e < 0 ? 'e' : 's', e < 0 ? ~e : e);
279     }
280 #endif
281     rIndex = 0;
282     do {
283         bool forward = true;
284         bool first = true;
285         int sIndex = sLink[rIndex];
286         SkASSERT(sIndex != SK_MaxS32);
287         sLink[rIndex] = SK_MaxS32;
288         int eIndex;
289         if (sIndex < 0) {
290             eIndex = sLink[~sIndex];
291             sLink[~sIndex] = SK_MaxS32;
292         } else {
293             eIndex = eLink[sIndex];
294             eLink[sIndex] = SK_MaxS32;
295         }
296         SkASSERT(eIndex != SK_MaxS32);
297 #if DEBUG_ASSEMBLE
298         SkDebugf("%s sIndex=%c%d eIndex=%c%d\n", __FUNCTION__, sIndex < 0 ? 's' : 'e',
299                     sIndex < 0 ? ~sIndex : sIndex, eIndex < 0 ? 's' : 'e',
300                     eIndex < 0 ? ~eIndex : eIndex);
301 #endif
302         do {
303             const SkPath& contour = fPartials[rIndex];
304             if (forward) {
305                 fPathPtr->addPath(contour,
306                         first ? SkPath::kAppend_AddPathMode : SkPath::kExtend_AddPathMode);
307             } else {
308                 SkASSERT(!first);
309                 fPathPtr->reversePathTo(contour);
310             }
311             if (first) {
312                 first = false;
313             }
314 #if DEBUG_ASSEMBLE
315             SkDebugf("%s rIndex=%d eIndex=%s%d close=%d\n", __FUNCTION__, rIndex,
316                 eIndex < 0 ? "~" : "", eIndex < 0 ? ~eIndex : eIndex,
317                 sIndex == ((rIndex != eIndex) ^ forward ? eIndex : ~eIndex));
318 #endif
319             if (sIndex == ((rIndex != eIndex) ^ forward ? eIndex : ~eIndex)) {
320                 fPathPtr->close();
321                 break;
322             }
323             if (forward) {
324                 eIndex = eLink[rIndex];
325                 SkASSERT(eIndex != SK_MaxS32);
326                 eLink[rIndex] = SK_MaxS32;
327                 if (eIndex >= 0) {
328                     SkASSERT(sLink[eIndex] == rIndex);
329                     sLink[eIndex] = SK_MaxS32;
330                 } else {
331                     SkASSERT(eLink[~eIndex] == ~rIndex);
332                     eLink[~eIndex] = SK_MaxS32;
333                 }
334             } else {
335                 eIndex = sLink[rIndex];
336                 SkASSERT(eIndex != SK_MaxS32);
337                 sLink[rIndex] = SK_MaxS32;
338                 if (eIndex >= 0) {
339                     SkASSERT(eLink[eIndex] == rIndex);
340                     eLink[eIndex] = SK_MaxS32;
341                 } else {
342                     SkASSERT(sLink[~eIndex] == ~rIndex);
343                     sLink[~eIndex] = SK_MaxS32;
344                 }
345             }
346             rIndex = eIndex;
347             if (rIndex < 0) {
348                 forward ^= 1;
349                 rIndex = ~rIndex;
350             }
351         } while (true);
352         for (rIndex = 0; rIndex < linkCount; ++rIndex) {
353             if (sLink[rIndex] != SK_MaxS32) {
354                 break;
355             }
356         }
357     } while (rIndex < linkCount);
358 #if DEBUG_ASSEMBLE
359     for (rIndex = 0; rIndex < linkCount; ++rIndex) {
360        SkASSERT(sLink[rIndex] == SK_MaxS32);
361        SkASSERT(eLink[rIndex] == SK_MaxS32);
362     }
363 #endif
364     return;
365 }
366