caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 1 | |
| 2 | /* |
| 3 | * Copyright 2012 Google Inc. |
| 4 | * |
| 5 | * Use of this source code is governed by a BSD-style license that can be |
| 6 | * found in the LICENSE file. |
| 7 | */ |
| 8 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 9 | #include "CurveIntersection.h" |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 10 | #include "LineIntersection.h" |
| 11 | #include "SkPath.h" |
| 12 | #include "SkRect.h" |
| 13 | #include "SkTArray.h" |
| 14 | #include "SkTDArray.h" |
| 15 | #include "TSearch.h" |
| 16 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 17 | static int LineIntersect(const SkPoint a[2], const SkPoint b[2], |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 18 | double aRange[2], double bRange[2]) { |
| 19 | _Line aLine = {{a[0].fX, a[0].fY}, {a[1].fX, a[1].fY}}; |
| 20 | _Line bLine = {{b[0].fX, b[0].fY}, {b[1].fX, b[1].fY}}; |
| 21 | return intersect(aLine, bLine, aRange, bRange); |
| 22 | } |
| 23 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 24 | static int LineIntersect(const SkPoint a[2], SkScalar y, double aRange[2]) { |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 25 | _Line aLine = {{a[0].fX, a[0].fY}, {a[1].fX, a[1].fY}}; |
| 26 | return horizontalIntersect(aLine, y, aRange); |
| 27 | } |
| 28 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 29 | static SkScalar LineYAtT(const SkPoint a[2], double t) { |
| 30 | _Line aLine = {{a[0].fX, a[0].fY}, {a[1].fX, a[1].fY}}; |
| 31 | double y; |
| 32 | xy_at_t(aLine, t, *(double*) 0, y); |
| 33 | return SkDoubleToScalar(y); |
| 34 | } |
| 35 | |
| 36 | static void LineSubDivide(const SkPoint a[2], double startT, double endT, |
| 37 | SkPoint sub[2]) { |
| 38 | _Line aLine = {{a[0].fX, a[0].fY}, {a[1].fX, a[1].fY}}; |
| 39 | _Line dst; |
| 40 | sub_divide(aLine, startT, endT, dst); |
| 41 | sub[0].fX = SkDoubleToScalar(dst[0].x); |
| 42 | sub[0].fY = SkDoubleToScalar(dst[0].y); |
| 43 | sub[1].fX = SkDoubleToScalar(dst[1].x); |
| 44 | sub[1].fY = SkDoubleToScalar(dst[1].y); |
| 45 | } |
| 46 | |
| 47 | |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 48 | // functions |
| 49 | void contourBounds(const SkPath& path, SkTDArray<SkRect>& boundsArray); |
| 50 | void simplify(const SkPath& path, bool asFill, SkPath& simple); |
| 51 | /* |
| 52 | list of edges |
| 53 | bounds for edge |
| 54 | sort |
| 55 | active T |
| 56 | |
| 57 | if a contour's bounds is outside of the active area, no need to create edges |
| 58 | */ |
| 59 | |
| 60 | /* given one or more paths, |
| 61 | find the bounds of each contour, select the active contours |
| 62 | for each active contour, compute a set of edges |
| 63 | each edge corresponds to one or more lines and curves |
| 64 | leave edges unbroken as long as possible |
| 65 | when breaking edges, compute the t at the break but leave the control points alone |
| 66 | |
| 67 | */ |
| 68 | |
| 69 | void contourBounds(const SkPath& path, SkTDArray<SkRect>& boundsArray) { |
| 70 | SkPath::Iter iter(path, false); |
| 71 | SkPoint pts[4]; |
| 72 | SkPath::Verb verb; |
| 73 | SkRect bounds; |
| 74 | bounds.setEmpty(); |
| 75 | int count = 0; |
| 76 | while ((verb = iter.next(pts)) != SkPath::kDone_Verb) { |
| 77 | switch (verb) { |
| 78 | case SkPath::kMove_Verb: |
| 79 | if (!bounds.isEmpty()) { |
| 80 | *boundsArray.append() = bounds; |
| 81 | } |
| 82 | bounds.set(pts[0].fX, pts[0].fY, pts[0].fX, pts[0].fY); |
| 83 | count = 0; |
| 84 | break; |
| 85 | case SkPath::kLine_Verb: |
| 86 | count = 1; |
| 87 | break; |
| 88 | case SkPath::kQuad_Verb: |
| 89 | count = 2; |
| 90 | break; |
| 91 | case SkPath::kCubic_Verb: |
| 92 | count = 3; |
| 93 | break; |
| 94 | case SkPath::kClose_Verb: |
| 95 | count = 0; |
| 96 | break; |
| 97 | default: |
| 98 | SkDEBUGFAIL("bad verb"); |
| 99 | return; |
| 100 | } |
| 101 | for (int i = 1; i <= count; ++i) { |
| 102 | bounds.growToInclude(pts[i].fX, pts[i].fY); |
| 103 | } |
| 104 | } |
| 105 | } |
| 106 | |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 107 | static bool extendLine(const SkPoint line[2], const SkPoint& add) { |
| 108 | // FIXME: allow this to extend lines that have slopes that are nearly equal |
| 109 | SkScalar dx1 = line[1].fX - line[0].fX; |
| 110 | SkScalar dy1 = line[1].fY - line[0].fY; |
| 111 | SkScalar dx2 = add.fX - line[0].fX; |
| 112 | SkScalar dy2 = add.fY - line[0].fY; |
| 113 | return dx1 * dy2 == dx2 * dy1; |
| 114 | } |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 115 | |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 116 | struct OutEdge { |
| 117 | bool operator<(const OutEdge& rh) const { |
| 118 | const SkPoint& first = fPts.begin()[0]; |
| 119 | const SkPoint& rhFirst = rh.fPts.begin()[0]; |
| 120 | return first.fY == rhFirst.fY |
| 121 | ? first.fX < rhFirst.fX |
| 122 | : first.fY < rhFirst.fY; |
| 123 | } |
| 124 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 125 | SkTDArray<SkPoint> fPts; |
| 126 | SkTDArray<uint8_t> fVerbs; |
| 127 | }; |
| 128 | |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 129 | // for sorting only |
| 130 | class OutBottomEdge : public OutEdge { |
| 131 | public: |
| 132 | bool operator<(const OutBottomEdge& rh) const { |
| 133 | const SkPoint& last = fPts.end()[-1]; |
| 134 | const SkPoint& rhLast = rh.fPts.end()[-1]; |
| 135 | return last.fY == rhLast.fY |
| 136 | ? last.fX < rhLast.fX |
| 137 | : last.fY < rhLast.fY; |
| 138 | } |
| 139 | |
| 140 | }; |
| 141 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 142 | class OutEdgeBuilder { |
| 143 | public: |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 144 | OutEdgeBuilder(bool fill) |
| 145 | : fFill(fill) { |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 146 | } |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 147 | |
| 148 | void addLine(const SkPoint line[2]) { |
| 149 | size_t count = fEdges.count(); |
| 150 | for (size_t index = 0; index < count; ++index) { |
| 151 | SkTDArray<SkPoint>& pts = fEdges[index].fPts; |
| 152 | SkPoint* last = pts.end() - 1; |
| 153 | if (last[0] == line[0]) { |
| 154 | if (extendLine(&last[-1], line[1])) { |
| 155 | last[0] = line[1]; |
| 156 | } else { |
| 157 | *pts.append() = line[1]; |
| 158 | } |
| 159 | return; |
| 160 | } |
| 161 | } |
| 162 | OutEdge& edge = fEdges.push_back(); |
| 163 | *edge.fPts.append() = line[0]; |
| 164 | *edge.fPts.append() = line[1]; |
| 165 | } |
| 166 | |
| 167 | void assemble(SkPath& simple) { |
| 168 | size_t index = 0; |
| 169 | do { |
| 170 | SkTDArray<SkPoint>& downArray = fEdges[index].fPts; |
| 171 | SkPoint* pts = downArray.begin(); |
| 172 | SkPoints* end = downArray.end(); |
| 173 | SkPoint firstPt = pts[0]; |
| 174 | simple.moveTo(pts[0].fX, pts[0].fY); |
| 175 | while (++pts < end) { |
| 176 | simple.lineTo(pts->fX, pts->fY); |
| 177 | } |
| 178 | index = fBottoms[index]; |
| 179 | SkTDArray<SkPoint>& upArray = fEdges[index].fPts; |
| 180 | pts = upArray.end(); |
| 181 | SkPoints* begin = upArray.begin(); |
| 182 | while (--pts > begin) { |
| 183 | simple.lineTo(pts->fX, pts->fY); |
| 184 | } |
| 185 | if (pts[0] == firstPt) { |
| 186 | simple.close(); |
| 187 | closed = true; |
| 188 | |
| 189 | } else { |
| 190 | simple.lineTo(pts->fX, pts->fY); |
| 191 | } |
| 192 | index = advance > 0 ? fBottoms[index] : fTops[index]; |
| 193 | advance = -advance; |
| 194 | } while (true); |
| 195 | |
| 196 | } else { |
| 197 | if (firstAdded.fY == pts[0].fY) { |
| 198 | advance = -1; |
| 199 | pts = ptArray.end(); |
| 200 | } |
| 201 | } |
| 202 | size_t count2 = ptArray.count(); |
| 203 | for (size_t inner = 1; inner < count2; ++inner) { |
| 204 | pts += advance; |
| 205 | simple.lineTo(pts->fX, pts->fY); |
| 206 | } |
| 207 | if (*pts == *ptArray.begin()) { |
| 208 | // lastAdded = *pts; |
| 209 | simple.close(); |
| 210 | newContour = true; |
| 211 | } |
| 212 | } |
| 213 | } |
| 214 | |
| 215 | static bool lessThan(const SkTArray<OutEdge>& edges, const int* onePtr, |
| 216 | const int* twoPtr) { |
| 217 | int one = *onePtr; |
| 218 | const OutEdge& oneEdge = edges[(one < 0 ? -one : one) - 1]; |
| 219 | const SkPoint* onePt = one < 0 ? oneEdge.fPts.begin() |
| 220 | : oneEdge.fPts.end() - 1; |
| 221 | int two = *twoPtr; |
| 222 | const OutEdge& twoEdge = edges[(two < 0 ? -two : two) - 1]; |
| 223 | const SkPoint* twoPt = two < 0 ? twoEdge.fPts.begin() |
| 224 | : twoEdge.fPts.end() - 1; |
| 225 | return onePt.fY == twoPt.fY ? onePt.fX < twoPt.fX : onePt.fY < twoPt.fY; |
| 226 | } |
| 227 | |
| 228 | void bridge() { |
| 229 | size_t index; |
| 230 | size_t count = fEdges.count(); |
| 231 | if (!count) { |
| 232 | return; |
| 233 | } |
| 234 | SkASSERT(!fFill || (count & 1) == 0); |
| 235 | fTops.setCount(count); |
| 236 | sk_bzero(fTops.begin(), sizeof(fTops[0]) * count); |
| 237 | fBottoms.setCount(count); |
| 238 | sk_bzero(fBottoms.begin(), sizeof(fBottoms[0]) * count); |
| 239 | for (index = 0; index < count; ++index) { |
| 240 | *fList.append() = index + 1; |
| 241 | *fList.append() = -index - 1; |
| 242 | } |
| 243 | Context context; |
| 244 | QSort<SkTArray<OutEdge>&, int>(fEdges, fList.begin(), count, lessThan); |
| 245 | connectTops(); |
| 246 | // sort bottoms |
| 247 | SkTDArray<OutBottomEdge*> bottomList; |
| 248 | for (index = 0; index < count; ++index) { |
| 249 | *bottomList.append() = static_cast<OutBottomEdge*>(&fEdges[index]); |
| 250 | fBottoms[index] = -1; |
| 251 | } |
| 252 | QSort<OutBottomEdge>(bottomList.begin(), count); |
| 253 | connectBottoms(bottomList); |
| 254 | } |
| 255 | |
| 256 | protected: |
| 257 | void connectTops() { |
| 258 | int* lastPtr = fList.end() - 1; |
| 259 | int* leftPtr = fList.begin(); |
| 260 | for (; leftPtr < lastPtr; ++leftPtr) { |
| 261 | OutEdge* left = edges[(*leftPtr < 0 ? -*leftPtr : *leftPtr) - 1]; |
| 262 | int* rightPtr = leftPtr + 1; |
| 263 | OutEdge* right = edges[(*rightPtr < 0 ? -*rightPtr : *rightPtr) - 1]; |
| 264 | start here; |
| 265 | // i'm a bit confused right now -- but i'm trying to sort indices |
| 266 | // of paired points and then create more indices so assemble() can |
| 267 | // look up the next edge and whether to connect the top or bottom |
| 268 | int leftIndex = leftPtr - bottomList.begin(); |
| 269 | int rightIndex = rightPtr - bottomList.begin(); |
| 270 | SkASSERT(!fFill || left->fPts[0].fY == right->fPts[0].fY); |
| 271 | if (fFill || left->fPts[0] == right->fPts[0]) { |
| 272 | int leftIndex = leftPtr - topList.begin(); |
| 273 | int rightIndex = rightPtr - topList.begin(); |
| 274 | fTops[leftIndex] = rightIndex; |
| 275 | fTops[rightIndex] = leftIndex; |
| 276 | ++rightPtr; |
| 277 | } |
| 278 | leftPtr = rightPtr; |
| 279 | } |
| 280 | } |
| 281 | |
| 282 | void connectBottoms(SkTDArray<OutBottomEdge*>& bottomList) { |
| 283 | OutBottomEdge** lastPtr = bottomList.end() - 1; |
| 284 | OutBottomEdge** leftPtr = bottomList.begin(); |
| 285 | size_t leftCount = (*leftPtr)->fPts.count(); |
| 286 | for (; leftPtr < lastPtr; ++leftPtr) { |
| 287 | OutBottomEdge** rightPtr = leftPtr + 1; |
| 288 | size_t rightCount = (*rightPtr)->fPts.count(); |
| 289 | SkASSERT(!fFill || (*leftPtr)->fPts[leftCount].fY |
| 290 | == (*rightPtr)->fPts[rightCount].fY); |
| 291 | if (fFill || (*leftPtr)->fPts[leftCount] |
| 292 | == (*rightPtr)->fPts[rightCount]) { |
| 293 | int leftIndex = leftPtr - bottomList.begin(); |
| 294 | int rightIndex = rightPtr - bottomList.begin(); |
| 295 | fBottoms[leftIndex] = rightIndex; |
| 296 | fBottoms[rightIndex] = leftIndex; |
| 297 | if (++rightPtr < lastPtr) { |
| 298 | rightCount = (*rightPtr)->fPts.count(); |
| 299 | } |
| 300 | } |
| 301 | leftPtr = rightPtr; |
| 302 | leftCount = rightCount; |
| 303 | } |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 304 | } |
| 305 | |
| 306 | SkTArray<OutEdge> fEdges; |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 307 | SkTDArray<int> fList; |
| 308 | bool fFill; |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 309 | }; |
| 310 | |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 311 | // Bounds, unlike Rect, does not consider a vertical line to be empty. |
| 312 | struct Bounds : public SkRect { |
| 313 | static bool Intersects(const Bounds& a, const Bounds& b) { |
| 314 | return a.fLeft <= b.fRight && b.fLeft <= a.fRight && |
| 315 | a.fTop <= b.fBottom && b.fTop <= a.fBottom; |
| 316 | } |
| 317 | }; |
| 318 | |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 319 | struct Intercepts { |
| 320 | SkTDArray<double> fTs; |
| 321 | }; |
| 322 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 323 | struct InEdge { |
| 324 | bool operator<(const InEdge& rh) const { |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 325 | return fBounds.fTop == rh.fBounds.fTop |
| 326 | ? fBounds.fLeft < rh.fBounds.fLeft |
| 327 | : fBounds.fTop < rh.fBounds.fTop; |
| 328 | } |
| 329 | |
| 330 | void add(double* ts, size_t count, int verbIndex) { |
| 331 | Intercepts& intercepts = fIntercepts[verbIndex]; |
| 332 | // FIXME: in the pathological case where there is a ton of intercepts, binary search? |
| 333 | for (size_t index = 0; index < count; ++index) { |
| 334 | double t = ts[index]; |
| 335 | size_t tCount = intercepts.fTs.count(); |
| 336 | for (size_t idx2 = 0; idx2 < tCount; ++idx2) { |
| 337 | if (t <= intercepts.fTs[idx2]) { |
| 338 | if (t < intercepts.fTs[idx2]) { |
| 339 | *intercepts.fTs.insert(idx2) = t; |
| 340 | break; |
| 341 | } |
| 342 | } |
| 343 | } |
| 344 | if (tCount == 0 || t > intercepts.fTs[tCount - 1]) { |
| 345 | *intercepts.fTs.append() = t; |
| 346 | } |
| 347 | } |
| 348 | } |
| 349 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 350 | bool cached(const InEdge* edge) { |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 351 | // FIXME: in the pathological case where there is a ton of edges, binary search? |
| 352 | size_t count = fCached.count(); |
| 353 | for (size_t index = 0; index < count; ++index) { |
| 354 | if (edge == fCached[index]) { |
| 355 | return true; |
| 356 | } |
| 357 | if (edge < fCached[index]) { |
| 358 | *fCached.insert(index) = edge; |
| 359 | return false; |
| 360 | } |
| 361 | } |
| 362 | *fCached.append() = edge; |
| 363 | return false; |
| 364 | } |
| 365 | |
| 366 | void complete(signed char winding) { |
| 367 | SkPoint* ptPtr = fPts.begin(); |
| 368 | SkPoint* ptLast = fPts.end(); |
| 369 | if (ptPtr == ptLast) { |
| 370 | SkDebugf("empty edge\n"); |
| 371 | SkASSERT(0); |
| 372 | // FIXME: delete empty edge? |
| 373 | return; |
| 374 | } |
| 375 | fBounds.set(ptPtr->fX, ptPtr->fY, ptPtr->fX, ptPtr->fY); |
| 376 | ++ptPtr; |
| 377 | while (ptPtr != ptLast) { |
| 378 | fBounds.growToInclude(ptPtr->fX, ptPtr->fY); |
| 379 | ++ptPtr; |
| 380 | } |
| 381 | fIntercepts.push_back_n(1); |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 382 | if ((fWinding = winding) < 0) { // reverse verbs, pts, if bottom to top |
| 383 | size_t index; |
| 384 | size_t last = fPts.count() - 1; |
| 385 | for (index = 0; index < last; ++index, --last) { |
| 386 | SkTSwap<SkPoint>(fPts[index], fPts[last]); |
| 387 | } |
| 388 | last = fVerbs.count() - 1; |
| 389 | for (index = 0; index < last; ++index, --last) { |
| 390 | SkTSwap<uint8_t>(fVerbs[index], fVerbs[last]); |
| 391 | } |
| 392 | } |
| 393 | fContainsIntercepts = false; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 394 | } |
| 395 | |
| 396 | // temporary data : move this to a separate struct? |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 397 | SkTDArray<const InEdge*> fCached; // list of edges already intercepted |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 398 | SkTArray<Intercepts> fIntercepts; // one per verb |
| 399 | |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 400 | // persistent data |
| 401 | SkTDArray<SkPoint> fPts; |
| 402 | SkTDArray<uint8_t> fVerbs; |
| 403 | Bounds fBounds; |
| 404 | signed char fWinding; |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 405 | bool fContainsIntercepts; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 406 | }; |
| 407 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 408 | class InEdgeBuilder { |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 409 | public: |
| 410 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 411 | InEdgeBuilder(const SkPath& path, bool ignoreHorizontal, SkTArray<InEdge>& edges) |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 412 | : fPath(path) |
| 413 | , fCurrentEdge(NULL) |
| 414 | , fEdges(edges) |
| 415 | , fIgnoreHorizontal(ignoreHorizontal) |
| 416 | { |
| 417 | walk(); |
| 418 | } |
| 419 | |
| 420 | protected: |
| 421 | |
| 422 | void addEdge() { |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 423 | SkASSERT(fCurrentEdge); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 424 | fCurrentEdge->fPts.append(fPtCount - fPtOffset, &fPts[fPtOffset]); |
| 425 | fPtOffset = 1; |
| 426 | *fCurrentEdge->fVerbs.append() = fVerb; |
| 427 | } |
| 428 | |
| 429 | int direction(int count) { |
| 430 | fPtCount = count; |
| 431 | fIgnorableHorizontal = fIgnoreHorizontal && isHorizontal(); |
| 432 | if (fIgnorableHorizontal) { |
| 433 | return 0; |
| 434 | } |
| 435 | int last = count - 1; |
| 436 | return fPts[0].fY == fPts[last].fY |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 437 | ? fPts[0].fX == fPts[last].fX ? 0 : fPts[0].fX < fPts[last].fX |
| 438 | ? 1 : -1 : fPts[0].fY < fPts[last].fY ? 1 : -1; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 439 | } |
| 440 | |
| 441 | bool isHorizontal() { |
| 442 | SkScalar y = fPts[0].fY; |
| 443 | for (int i = 1; i < fPtCount; ++i) { |
| 444 | if (fPts[i].fY != y) { |
| 445 | return false; |
| 446 | } |
| 447 | } |
| 448 | return true; |
| 449 | } |
| 450 | |
| 451 | void startEdge() { |
| 452 | fCurrentEdge = fEdges.push_back_n(1); |
| 453 | fWinding = 0; |
| 454 | fPtOffset = 0; |
| 455 | } |
| 456 | |
| 457 | void walk() { |
| 458 | SkPath::Iter iter(fPath, true); |
| 459 | int winding = 0; |
| 460 | while ((fVerb = iter.next(fPts)) != SkPath::kDone_Verb) { |
| 461 | switch (fVerb) { |
| 462 | case SkPath::kMove_Verb: |
| 463 | winding = 0; |
| 464 | startEdge(); |
| 465 | continue; |
| 466 | case SkPath::kLine_Verb: |
| 467 | winding = direction(2); |
| 468 | break; |
| 469 | case SkPath::kQuad_Verb: |
| 470 | winding = direction(3); |
| 471 | break; |
| 472 | case SkPath::kCubic_Verb: |
| 473 | winding = direction(4); |
| 474 | break; |
| 475 | case SkPath::kClose_Verb: |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 476 | SkASSERT(fCurrentEdge); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 477 | if (fCurrentEdge->fVerbs.count()) { |
| 478 | fCurrentEdge->complete(fWinding); |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 479 | fCurrentEdge = NULL; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 480 | } |
| 481 | continue; |
| 482 | default: |
| 483 | SkDEBUGFAIL("bad verb"); |
| 484 | return; |
| 485 | } |
| 486 | if (fIgnorableHorizontal) { |
| 487 | continue; |
| 488 | } |
| 489 | if (fWinding + winding == 0) { |
| 490 | // FIXME: if prior verb or this verb is a horizontal line, reverse |
| 491 | // it instead of starting a new edge |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 492 | SkASSERT(fCurrentEdge); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 493 | fCurrentEdge->complete(fWinding); |
| 494 | startEdge(); |
| 495 | } |
| 496 | fWinding = winding; |
| 497 | addEdge(); |
| 498 | } |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 499 | if (fCurrentEdge) { |
| 500 | fCurrentEdge->complete(fWinding); |
| 501 | } |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 502 | } |
| 503 | |
| 504 | private: |
| 505 | const SkPath& fPath; |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 506 | InEdge* fCurrentEdge; |
| 507 | SkTArray<InEdge>& fEdges; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 508 | SkPoint fPts[4]; |
| 509 | SkPath::Verb fVerb; |
| 510 | int fPtCount; |
| 511 | int fPtOffset; |
| 512 | int8_t fWinding; |
| 513 | bool fIgnorableHorizontal; |
| 514 | bool fIgnoreHorizontal; |
| 515 | }; |
| 516 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 517 | struct WorkEdge { |
| 518 | SkScalar bottom() const { |
| 519 | return fPts[verb()].fY; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 520 | } |
| 521 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 522 | void init(const InEdge* edge) { |
| 523 | fEdge = edge; |
| 524 | fPts = edge->fPts.begin(); |
| 525 | fVerb = edge->fVerbs.begin(); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 526 | } |
| 527 | |
| 528 | bool next() { |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 529 | SkASSERT(fVerb < fEdge->fVerbs.end()); |
| 530 | fPts += *fVerb++; |
| 531 | return fVerb != fEdge->fVerbs.end(); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 532 | } |
| 533 | |
| 534 | SkPath::Verb verb() const { |
| 535 | return (SkPath::Verb) *fVerb; |
| 536 | } |
| 537 | |
| 538 | int verbIndex() const { |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 539 | return fVerb - fEdge->fVerbs.begin(); |
| 540 | } |
| 541 | |
| 542 | int winding() const { |
| 543 | return fEdge->fWinding; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 544 | } |
| 545 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 546 | const InEdge* fEdge; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 547 | const SkPoint* fPts; |
| 548 | const uint8_t* fVerb; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 549 | }; |
| 550 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 551 | // always constructed with SkTDArray because new edges are inserted |
| 552 | // this may be a inappropriate optimization, suggesting that a separate array of |
| 553 | // ActiveEdge* may be faster to insert and search |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 554 | struct ActiveEdge { |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 555 | void init(const InEdge* edge) { |
| 556 | fWorkEdge.init(edge); |
| 557 | initT(); |
| 558 | } |
| 559 | |
| 560 | void initT() { |
| 561 | fTs = &fWorkEdge.fEdge->fIntercepts[fWorkEdge.verbIndex()].fTs; |
| 562 | fTIndex = 0; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 563 | } |
| 564 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 565 | bool nextT() { |
| 566 | SkASSERT(fTIndex <= fTs->count()); |
| 567 | return ++fTIndex == fTs->count() + 1; |
| 568 | } |
| 569 | |
| 570 | bool next() { |
| 571 | bool result = fWorkEdge.next(); |
| 572 | initT(); |
| 573 | return result; |
| 574 | } |
| 575 | |
| 576 | double t() { |
| 577 | if (fTIndex == 0) { |
| 578 | return 0; |
| 579 | } |
| 580 | if (fTIndex > fTs->count()) { |
| 581 | return 1; |
| 582 | } |
| 583 | return (*fTs)[fTIndex - 1]; |
| 584 | } |
| 585 | |
| 586 | WorkEdge fWorkEdge; |
| 587 | const SkTDArray<double>* fTs; |
| 588 | int fTIndex; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 589 | }; |
| 590 | |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 591 | static void addToActive(SkTDArray<ActiveEdge>& activeEdges, const InEdge* edge) { |
| 592 | // FIXME: in the pathological case where there is a ton of intercepts, binary search? |
| 593 | size_t count = activeEdges.count(); |
| 594 | for (size_t index = 0; index < count; ++index) { |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 595 | if (*edge < *activeEdges[index].fWorkEdge.fEdge) { |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 596 | ActiveEdge* active = activeEdges.insert(index); |
| 597 | active->init(edge); |
| 598 | return; |
| 599 | } |
| 600 | if (edge == activeEdges[index].fWorkEdge.fEdge) { |
| 601 | return; |
| 602 | } |
| 603 | } |
| 604 | ActiveEdge* active = activeEdges.append(); |
| 605 | active->init(edge); |
| 606 | } |
| 607 | |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 608 | // find any intersections in the range of active edges |
| 609 | static void addBottomT(InEdge** currentPtr, InEdge** lastPtr, SkScalar bottom) { |
| 610 | InEdge** testPtr = currentPtr; |
| 611 | InEdge* test = *testPtr; |
| 612 | while (testPtr != lastPtr) { |
| 613 | if (test->fBounds.fBottom > bottom) { |
| 614 | WorkEdge wt; |
| 615 | wt.init(test); |
| 616 | do { |
| 617 | // FIXME: add all curve types |
| 618 | // OPTIMIZATION: if bottom intersection does not change |
| 619 | // the winding on either side of the split, don't intersect |
| 620 | if (wt.verb() == SkPath::kLine_Verb) { |
| 621 | double wtTs[2]; |
| 622 | int pts = LineIntersect(wt.fPts, bottom, wtTs); |
| 623 | if (pts) { |
| 624 | test->add(wtTs, pts, wt.verbIndex()); |
| 625 | } |
| 626 | } |
| 627 | } while (wt.next()); |
| 628 | } |
| 629 | test = *++testPtr; |
| 630 | } |
| 631 | } |
| 632 | |
| 633 | static void addIntersectingTs(InEdge** currentPtr, InEdge** lastPtr) { |
| 634 | InEdge** testPtr = currentPtr; |
| 635 | InEdge* test = *testPtr; |
| 636 | while (testPtr != lastPtr - 1) { |
| 637 | InEdge* next = *++testPtr; |
| 638 | if (!test->cached(next) |
| 639 | && Bounds::Intersects(test->fBounds, next->fBounds)) { |
| 640 | WorkEdge wt, wn; |
| 641 | wt.init(test); |
| 642 | wn.init(next); |
| 643 | do { |
| 644 | // FIXME: add all combinations of curve types |
| 645 | if (wt.verb() == SkPath::kLine_Verb |
| 646 | && wn.verb() == SkPath::kLine_Verb) { |
| 647 | double wtTs[2], wnTs[2]; |
| 648 | int pts = LineIntersect(wt.fPts, wn.fPts, wtTs, wnTs); |
| 649 | if (pts) { |
| 650 | test->add(wtTs, pts, wt.verbIndex()); |
| 651 | test->fContainsIntercepts = true; |
| 652 | next->add(wnTs, pts, wn.verbIndex()); |
| 653 | next->fContainsIntercepts = true; |
| 654 | } |
| 655 | } |
| 656 | } while (wt.bottom() <= wn.bottom() ? wt.next() : wn.next()); |
| 657 | } |
| 658 | test = next; |
| 659 | } |
| 660 | } |
| 661 | |
| 662 | // compute bottom taking into account any intersected edges |
| 663 | static void computeInterceptBottom(SkTDArray<ActiveEdge>& activeEdges, |
| 664 | SkScalar& bottom) { |
| 665 | ActiveEdge* activePtr = activeEdges.begin() - 1; |
| 666 | ActiveEdge* lastActive = activeEdges.end(); |
| 667 | while (++activePtr != lastActive) { |
| 668 | const InEdge* test = activePtr->fWorkEdge.fEdge; |
| 669 | if (!test->fContainsIntercepts) { |
| 670 | continue; |
| 671 | } |
| 672 | WorkEdge wt; |
| 673 | wt.init(test); |
| 674 | do { |
| 675 | // FIXME: add all curve types |
| 676 | const Intercepts& intercepts = test->fIntercepts[wt.verbIndex()]; |
| 677 | const SkTDArray<double>& fTs = intercepts.fTs; |
| 678 | size_t count = fTs.count(); |
| 679 | for (size_t index = 0; index < count; ++index) { |
| 680 | if (wt.verb() == SkPath::kLine_Verb) { |
| 681 | SkScalar yIntercept = LineYAtT(wt.fPts, fTs[index]); |
| 682 | if (bottom > yIntercept) { |
| 683 | bottom = yIntercept; |
| 684 | } |
| 685 | } |
| 686 | } |
| 687 | } while (wt.next()); |
| 688 | } |
| 689 | } |
| 690 | |
| 691 | static SkScalar findBottom(InEdge** currentPtr, |
| 692 | InEdge** edgeListEnd, SkTDArray<ActiveEdge>& activeEdges, SkScalar y, |
| 693 | bool asFill, InEdge**& lastPtr) { |
| 694 | InEdge* current = *currentPtr; |
| 695 | SkScalar bottom = current->fBounds.fBottom; |
| 696 | |
| 697 | // find the list of edges that cross y |
| 698 | InEdge* last = *lastPtr; |
| 699 | while (lastPtr != edgeListEnd) { |
| 700 | if (bottom <= last->fBounds.fTop) { |
| 701 | break; |
| 702 | } |
| 703 | SkScalar lastTop = last->fBounds.fTop; |
| 704 | // OPTIMIZATION: Shortening the bottom is only interesting when filling |
| 705 | // and when the edge is to the left of a longer edge. If it's a framing |
| 706 | // edge, or part of the right, it won't effect the longer edges. |
| 707 | if (lastTop > y) { |
| 708 | if (bottom > lastTop) { |
| 709 | bottom = lastTop; |
| 710 | break; |
| 711 | } |
| 712 | } else if (bottom > last->fBounds.fBottom) { |
| 713 | bottom = last->fBounds.fBottom; |
| 714 | } |
| 715 | addToActive(activeEdges, last); |
| 716 | last = *++lastPtr; |
| 717 | } |
| 718 | if (asFill && lastPtr - currentPtr <= 1) { |
| 719 | SkDebugf("expect 2 or more edges\n"); |
| 720 | SkASSERT(0); |
| 721 | } |
| 722 | return bottom; |
| 723 | } |
| 724 | |
| 725 | static void makeEdgeList(SkTArray<InEdge>& edges, InEdge& edgeSentinel, |
| 726 | SkTDArray<InEdge*>& edgeList) { |
| 727 | size_t edgeCount = edges.count(); |
| 728 | if (edgeCount == 0) { |
| 729 | return; |
| 730 | } |
| 731 | for (size_t index = 0; index < edgeCount; ++index) { |
| 732 | *edgeList.append() = &edges[index]; |
| 733 | } |
| 734 | edgeSentinel.fBounds.set(SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, SK_ScalarMax); |
| 735 | *edgeList.append() = &edgeSentinel; |
| 736 | ++edgeCount; |
| 737 | QSort<InEdge>(edgeList.begin(), edgeCount); |
| 738 | } |
| 739 | |
| 740 | static void removeEdge(SkTDArray<ActiveEdge>& activeEdges, InEdge** currentPtr) { |
| 741 | InEdge* current = *currentPtr; |
| 742 | ActiveEdge* activePtr = activeEdges.begin() - 1; |
| 743 | ActiveEdge* lastActive = activeEdges.end(); |
| 744 | while (++activePtr != lastActive) { |
| 745 | if (activePtr->fWorkEdge.fEdge == current) { |
| 746 | activeEdges.remove(activePtr - activeEdges.begin()); |
| 747 | return; |
| 748 | } |
| 749 | } |
| 750 | } |
| 751 | |
| 752 | // stitch edge and t range that satisfies operation |
| 753 | static void stitchEdge(SkTDArray<ActiveEdge>& activeEdges, SkScalar y, |
| 754 | SkScalar bottom, int windingMask, OutEdgeBuilder& outBuilder) { |
| 755 | int winding = 0; |
| 756 | ActiveEdge* activePtr = activeEdges.begin() - 1; |
| 757 | ActiveEdge* lastActive = activeEdges.end(); |
| 758 | SkDebugf("%s y=%g bottom=%g\n", __FUNCTION__, y, bottom); |
| 759 | while (++activePtr != lastActive) { |
| 760 | const WorkEdge& wt = activePtr->fWorkEdge; |
| 761 | int lastWinding = winding; |
| 762 | winding += wt.winding(); |
| 763 | if (!(lastWinding & windingMask) && !(winding & windingMask)) { |
| 764 | continue; |
| 765 | } |
| 766 | do { |
| 767 | double currentT = activePtr->t(); |
| 768 | const SkPoint* points = wt.fPts; |
| 769 | bool last; |
| 770 | do { |
| 771 | last = activePtr->nextT(); |
| 772 | double nextT = activePtr->t(); |
| 773 | // FIXME: add all combinations of curve types |
| 774 | if (wt.verb() == SkPath::kLine_Verb) { |
| 775 | SkPoint clippedPts[2]; |
| 776 | const SkPoint* clipped; |
| 777 | if (currentT * nextT != 0 || currentT + nextT != 1) { |
| 778 | LineSubDivide(points, currentT, nextT, clippedPts); |
| 779 | clipped = clippedPts; |
| 780 | } else { |
| 781 | clipped = points; |
| 782 | } |
| 783 | SkDebugf("%s line %g,%g %g,%g\n", __FUNCTION__, |
| 784 | clipped[0].fX, clipped[0].fY, |
| 785 | clipped[1].fX, clipped[1].fY); |
| 786 | outBuilder.addLine(clipped); |
| 787 | if (clipped[1].fY >= bottom) { |
| 788 | goto nextEdge; |
| 789 | } |
| 790 | } |
| 791 | currentT = nextT; |
| 792 | } while (!last); |
| 793 | } while (activePtr->next()); |
| 794 | nextEdge: |
| 795 | ; |
| 796 | } |
| 797 | } |
| 798 | |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 799 | void simplify(const SkPath& path, bool asFill, SkPath& simple) { |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 800 | // returns 1 for evenodd, -1 for winding, regardless of inverse-ness |
| 801 | int windingMask = (path.getFillType() & 1) ? 1 : -1; |
| 802 | simple.reset(); |
| 803 | simple.setFillType(SkPath::kEvenOdd_FillType); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 804 | // turn path into list of edges increasing in y |
| 805 | // if an edge is a quad or a cubic with a y extrema, note it, but leave it unbroken |
| 806 | // once we have a list, sort it, then walk the list (walk edges twice that have y extrema's on top) |
| 807 | // and detect crossings -- look for raw bounds that cross over, then tight bounds that cross |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 808 | SkTArray<InEdge> edges; |
| 809 | InEdgeBuilder builder(path, asFill, edges); |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 810 | SkTDArray<InEdge*> edgeList; |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 811 | InEdge edgeSentinel; |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 812 | makeEdgeList(edges, edgeSentinel, edgeList); |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 813 | InEdge** currentPtr = edgeList.begin(); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 814 | // walk the sorted edges from top to bottom, computing accumulated winding |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 815 | SkTDArray<ActiveEdge> activeEdges; |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 816 | OutEdgeBuilder outBuilder(asFill); |
| 817 | SkScalar y = (*currentPtr)->fBounds.fTop; |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 818 | do { |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 819 | InEdge** lastPtr = currentPtr; // find the edge below the bottom of the first set |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 820 | SkScalar bottom = findBottom(currentPtr, edgeList.end(), |
| 821 | activeEdges, y, asFill, lastPtr); |
| 822 | addBottomT(currentPtr, lastPtr, bottom); |
| 823 | addIntersectingTs(currentPtr, lastPtr); |
| 824 | computeInterceptBottom(activeEdges, bottom); |
| 825 | stitchEdge(activeEdges, y, bottom, windingMask, outBuilder); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 826 | y = bottom; |
caryclark@google.com | 6680fb1 | 2012-02-07 22:10:51 +0000 | [diff] [blame] | 827 | while ((*currentPtr)->fBounds.fBottom <= y) { |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 828 | removeEdge(activeEdges, currentPtr); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 829 | ++currentPtr; |
| 830 | } |
| 831 | } while (*currentPtr != &edgeSentinel); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 832 | // assemble output path from string of pts, verbs |
caryclark@google.com | f8b000d | 2012-02-09 22:04:27 +0000 | [diff] [blame^] | 833 | outBuilder.bridge(); |
| 834 | outBuilder.assemble(simple); |
caryclark@google.com | c682590 | 2012-02-03 22:07:47 +0000 | [diff] [blame] | 835 | } |
| 836 | |
| 837 | void testSimplify(); |
| 838 | |
| 839 | void testSimplify() { |
| 840 | SkPath path, out; |
| 841 | path.setFillType(SkPath::kWinding_FillType); |
| 842 | path.addRect(10, 10, 30, 30); |
| 843 | path.addRect(20, 20, 40, 40); |
| 844 | simplify(path, true, out); |
| 845 | path = out; |
| 846 | path.addRect(30, 10, 40, 20); |
| 847 | path.addRect(10, 30, 20, 40); |
| 848 | simplify(path, true, out); |
| 849 | path = out; |
| 850 | path.addRect(10, 10, 40, 40, SkPath::kCCW_Direction); |
| 851 | simplify(path, true, out); |
| 852 | if (!out.isEmpty()) { |
| 853 | SkDebugf("expected empty\n"); |
| 854 | } |
| 855 | } |