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      1 /* libs/graphics/sgl/SkScan_Path.cpp
      2 **
      3 ** Copyright 2006, The Android Open Source Project
      4 **
      5 ** Licensed under the Apache License, Version 2.0 (the "License");
      6 ** you may not use this file except in compliance with the License.
      7 ** You may obtain a copy of the License at
      8 **
      9 **     http://www.apache.org/licenses/LICENSE-2.0
     10 **
     11 ** Unless required by applicable law or agreed to in writing, software
     12 ** distributed under the License is distributed on an "AS IS" BASIS,
     13 ** WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     14 ** See the License for the specific language governing permissions and
     15 ** limitations under the License.
     16 */
     17 
     18 #include "SkScanPriv.h"
     19 #include "SkBlitter.h"
     20 #include "SkEdge.h"
     21 #include "SkGeometry.h"
     22 #include "SkPath.h"
     23 #include "SkQuadClipper.h"
     24 #include "SkRegion.h"
     25 #include "SkTemplates.h"
     26 
     27 #define USE_NEW_BUILDER
     28 
     29 #define kEDGE_HEAD_Y    SK_MinS32
     30 #define kEDGE_TAIL_Y    SK_MaxS32
     31 
     32 #ifdef SK_DEBUG
     33     static void validate_sort(const SkEdge* edge) {
     34         int y = kEDGE_HEAD_Y;
     35 
     36         while (edge->fFirstY != SK_MaxS32) {
     37             edge->validate();
     38             SkASSERT(y <= edge->fFirstY);
     39 
     40             y = edge->fFirstY;
     41             edge = edge->fNext;
     42         }
     43     }
     44 #else
     45     #define validate_sort(edge)
     46 #endif
     47 
     48 static inline void remove_edge(SkEdge* edge) {
     49     edge->fPrev->fNext = edge->fNext;
     50     edge->fNext->fPrev = edge->fPrev;
     51 }
     52 
     53 static inline void swap_edges(SkEdge* prev, SkEdge* next) {
     54     SkASSERT(prev->fNext == next && next->fPrev == prev);
     55 
     56     // remove prev from the list
     57     prev->fPrev->fNext = next;
     58     next->fPrev = prev->fPrev;
     59 
     60     // insert prev after next
     61     prev->fNext = next->fNext;
     62     next->fNext->fPrev = prev;
     63     next->fNext = prev;
     64     prev->fPrev = next;
     65 }
     66 
     67 static void backward_insert_edge_based_on_x(SkEdge* edge SkDECLAREPARAM(int, curr_y)) {
     68     SkFixed x = edge->fX;
     69 
     70     for (;;) {
     71         SkEdge* prev = edge->fPrev;
     72 
     73         // add 1 to curr_y since we may have added new edges (built from curves)
     74         // that start on the next scanline
     75         SkASSERT(prev && prev->fFirstY <= curr_y + 1);
     76 
     77         if (prev->fX <= x) {
     78             break;
     79         }
     80         swap_edges(prev, edge);
     81     }
     82 }
     83 
     84 static void insert_new_edges(SkEdge* newEdge, int curr_y) {
     85     SkASSERT(newEdge->fFirstY >= curr_y);
     86 
     87     while (newEdge->fFirstY == curr_y) {
     88         SkEdge* next = newEdge->fNext;
     89         backward_insert_edge_based_on_x(newEdge  SkPARAM(curr_y));
     90         newEdge = next;
     91     }
     92 }
     93 
     94 #ifdef SK_DEBUG
     95 static void validate_edges_for_y(const SkEdge* edge, int curr_y) {
     96     while (edge->fFirstY <= curr_y) {
     97         SkASSERT(edge->fPrev && edge->fNext);
     98         SkASSERT(edge->fPrev->fNext == edge);
     99         SkASSERT(edge->fNext->fPrev == edge);
    100         SkASSERT(edge->fFirstY <= edge->fLastY);
    101 
    102         SkASSERT(edge->fPrev->fX <= edge->fX);
    103         edge = edge->fNext;
    104     }
    105 }
    106 #else
    107     #define validate_edges_for_y(edge, curr_y)
    108 #endif
    109 
    110 #if defined _WIN32 && _MSC_VER >= 1300  // disable warning : local variable used without having been initialized
    111 #pragma warning ( push )
    112 #pragma warning ( disable : 4701 )
    113 #endif
    114 
    115 typedef void (*PrePostProc)(SkBlitter* blitter, int y, bool isStartOfScanline);
    116 #define PREPOST_START   true
    117 #define PREPOST_END     false
    118 
    119 static void walk_edges(SkEdge* prevHead, SkPath::FillType fillType,
    120                        SkBlitter* blitter, int start_y, int stop_y,
    121                        PrePostProc proc) {
    122     validate_sort(prevHead->fNext);
    123 
    124     int curr_y = start_y;
    125     // returns 1 for evenodd, -1 for winding, regardless of inverse-ness
    126     int windingMask = (fillType & 1) ? 1 : -1;
    127 
    128     for (;;) {
    129         int     w = 0;
    130         int     left SK_INIT_TO_AVOID_WARNING;
    131         bool    in_interval = false;
    132         SkEdge* currE = prevHead->fNext;
    133         SkFixed prevX = prevHead->fX;
    134 
    135         validate_edges_for_y(currE, curr_y);
    136 
    137         if (proc) {
    138             proc(blitter, curr_y, PREPOST_START);    // pre-proc
    139         }
    140 
    141         while (currE->fFirstY <= curr_y) {
    142             SkASSERT(currE->fLastY >= curr_y);
    143 
    144             int x = (currE->fX + SK_Fixed1/2) >> 16;
    145             w += currE->fWinding;
    146             if ((w & windingMask) == 0) { // we finished an interval
    147                 SkASSERT(in_interval);
    148                 int width = x - left;
    149                 SkASSERT(width >= 0);
    150                 if (width)
    151                     blitter->blitH(left, curr_y, width);
    152                 in_interval = false;
    153             } else if (!in_interval) {
    154                 left = x;
    155                 in_interval = true;
    156             }
    157 
    158             SkEdge* next = currE->fNext;
    159             SkFixed newX;
    160 
    161             if (currE->fLastY == curr_y) {    // are we done with this edge?
    162                 if (currE->fCurveCount < 0) {
    163                     if (((SkCubicEdge*)currE)->updateCubic()) {
    164                         SkASSERT(currE->fFirstY == curr_y + 1);
    165 
    166                         newX = currE->fX;
    167                         goto NEXT_X;
    168                     }
    169                 } else if (currE->fCurveCount > 0) {
    170                     if (((SkQuadraticEdge*)currE)->updateQuadratic()) {
    171                         newX = currE->fX;
    172                         goto NEXT_X;
    173                     }
    174                 }
    175                 remove_edge(currE);
    176             } else {
    177                 SkASSERT(currE->fLastY > curr_y);
    178                 newX = currE->fX + currE->fDX;
    179                 currE->fX = newX;
    180             NEXT_X:
    181                 if (newX < prevX) { // ripple currE backwards until it is x-sorted
    182                     backward_insert_edge_based_on_x(currE  SkPARAM(curr_y));
    183                 } else {
    184                     prevX = newX;
    185                 }
    186             }
    187             currE = next;
    188             SkASSERT(currE);
    189         }
    190 
    191         if (proc) {
    192             proc(blitter, curr_y, PREPOST_END);    // post-proc
    193         }
    194 
    195         curr_y += 1;
    196         if (curr_y >= stop_y) {
    197             break;
    198         }
    199         // now currE points to the first edge with a Yint larger than curr_y
    200         insert_new_edges(currE, curr_y);
    201     }
    202 }
    203 
    204 ///////////////////////////////////////////////////////////////////////////////
    205 
    206 // this guy overrides blitH, and will call its proxy blitter with the inverse
    207 // of the spans it is given (clipped to the left/right of the cliprect)
    208 //
    209 // used to implement inverse filltypes on paths
    210 //
    211 class InverseBlitter : public SkBlitter {
    212 public:
    213     void setBlitter(SkBlitter* blitter, const SkIRect& clip, int shift) {
    214         fBlitter = blitter;
    215         fFirstX = clip.fLeft << shift;
    216         fLastX = clip.fRight << shift;
    217     }
    218     void prepost(int y, bool isStart) {
    219         if (isStart) {
    220             fPrevX = fFirstX;
    221         } else {
    222             int invWidth = fLastX - fPrevX;
    223             if (invWidth > 0) {
    224                 fBlitter->blitH(fPrevX, y, invWidth);
    225             }
    226         }
    227     }
    228 
    229     // overrides
    230     virtual void blitH(int x, int y, int width) {
    231         int invWidth = x - fPrevX;
    232         if (invWidth > 0) {
    233             fBlitter->blitH(fPrevX, y, invWidth);
    234         }
    235         fPrevX = x + width;
    236     }
    237 
    238     // we do not expect to get called with these entrypoints
    239     virtual void blitAntiH(int, int, const SkAlpha[], const int16_t runs[]) {
    240         SkASSERT(!"blitAntiH unexpected");
    241     }
    242     virtual void blitV(int x, int y, int height, SkAlpha alpha) {
    243         SkASSERT(!"blitV unexpected");
    244     }
    245     virtual void blitRect(int x, int y, int width, int height) {
    246         SkASSERT(!"blitRect unexpected");
    247     }
    248     virtual void blitMask(const SkMask&, const SkIRect& clip) {
    249         SkASSERT(!"blitMask unexpected");
    250     }
    251     virtual const SkBitmap* justAnOpaqueColor(uint32_t* value) {
    252         SkASSERT(!"justAnOpaqueColor unexpected");
    253         return NULL;
    254     }
    255 
    256 private:
    257     SkBlitter*  fBlitter;
    258     int         fFirstX, fLastX, fPrevX;
    259 };
    260 
    261 static void PrePostInverseBlitterProc(SkBlitter* blitter, int y, bool isStart) {
    262     ((InverseBlitter*)blitter)->prepost(y, isStart);
    263 }
    264 
    265 ///////////////////////////////////////////////////////////////////////////////
    266 
    267 #if defined _WIN32 && _MSC_VER >= 1300
    268 #pragma warning ( pop )
    269 #endif
    270 
    271 #ifdef USE_NEW_BUILDER
    272 #include "SkEdgeBuilder.h"
    273 #else
    274 static int build_edges(SkEdge edge[], const SkPath& path,
    275                        const SkIRect* clipRect, SkEdge* list[], int shiftUp) {
    276     SkEdge**        start = list;
    277     SkPath::Iter    iter(path, true);
    278     SkPoint         pts[4];
    279     SkPath::Verb    verb;
    280 
    281     SkQuadClipper qclipper;
    282     if (clipRect) {
    283         SkIRect r;
    284         r.set(clipRect->fLeft >> shiftUp, clipRect->fTop >> shiftUp,
    285               clipRect->fRight >> shiftUp, clipRect->fBottom >> shiftUp);
    286         qclipper.setClip(r);
    287     }
    288 
    289     while ((verb = iter.next(pts)) != SkPath::kDone_Verb) {
    290         switch (verb) {
    291             case SkPath::kLine_Verb:
    292                 if (edge->setLine(pts[0], pts[1], clipRect, shiftUp)) {
    293                     *list++ = edge;
    294                     edge = (SkEdge*)((char*)edge + sizeof(SkEdge));
    295                 }
    296                 break;
    297             case SkPath::kQuad_Verb: {
    298                 SkPoint tmp[5], clippedPts[3];
    299                 SkPoint* p = tmp;
    300                 int     count = SkChopQuadAtYExtrema(pts, tmp);
    301 
    302                 do {
    303                     const SkPoint* qpts = p;
    304                     if (clipRect) {
    305                         if (!qclipper.clipQuad(p, clippedPts)) {
    306                             goto NEXT_CHOPPED_QUAD;
    307                         }
    308                         qpts = clippedPts;
    309                     }
    310                     if (((SkQuadraticEdge*)edge)->setQuadratic(qpts, shiftUp)) {
    311                         *list++ = edge;
    312                         edge = (SkEdge*)((char*)edge + sizeof(SkQuadraticEdge));
    313                     }
    314                 NEXT_CHOPPED_QUAD:
    315                     p += 2;
    316                 } while (--count >= 0);
    317                 break;
    318             }
    319             case SkPath::kCubic_Verb: {
    320                 SkPoint tmp[10];
    321                 SkPoint* p = tmp;
    322                 int     count = SkChopCubicAtYExtrema(pts, tmp);
    323                 SkASSERT(count >= 0 && count <= 2);
    324 
    325                 do {
    326                     if (((SkCubicEdge*)edge)->setCubic(p, clipRect, shiftUp))
    327                     {
    328                         *list++ = edge;
    329                         edge = (SkEdge*)((char*)edge + sizeof(SkCubicEdge));
    330                     }
    331                     p += 3;
    332                 } while (--count >= 0);
    333                 break;
    334             }
    335         default:
    336             break;
    337         }
    338     }
    339     return (int)(list - start);
    340 }
    341 
    342 #ifdef SK_DEBUG
    343 /* 'quick' computation of the max sized needed to allocated for
    344     our edgelist.
    345 */
    346 static int worst_case_edge_count(const SkPath& path, size_t* storage) {
    347     size_t  size = 0;
    348     int     edgeCount = 0;
    349 
    350     SkPath::Iter    iter(path, true);
    351     SkPath::Verb    verb;
    352 
    353     while ((verb = iter.next(NULL)) != SkPath::kDone_Verb) {
    354         switch (verb) {
    355             case SkPath::kLine_Verb:
    356                 edgeCount += 1;
    357                 size += sizeof(SkQuadraticEdge);    // treat line like Quad (in case its > 512)
    358                 break;
    359             case SkPath::kQuad_Verb:
    360                 edgeCount += 2;                     // might need 2 edges when we chop on Y extrema
    361                 size += 2 * sizeof(SkQuadraticEdge);
    362                 break;
    363             case SkPath::kCubic_Verb:
    364                 edgeCount += 3;                     // might need 3 edges when we chop on Y extrema
    365                 size += 3 * sizeof(SkCubicEdge);
    366                 break;
    367             default:
    368                 break;
    369         }
    370     }
    371 
    372     SkASSERT(storage);
    373     *storage = size;
    374     return edgeCount;
    375 }
    376 #endif
    377 
    378 /* Much faster than worst_case_edge_count, but over estimates even more
    379 */
    380 static int cheap_worst_case_edge_count(const SkPath& path, size_t* storage) {
    381     int ptCount = path.getPoints(NULL, 0);
    382     // worst case is curve, close, curve, close, as that is
    383     //     2 lines per pt, or             : pts * 2
    384     //     2 quads + 1 line per 2 pts, or : pts * 3 / 2
    385     //     3 cubics + 1 line per 3 pts    : pts * 4 / 3
    386     int edgeCount = ptCount << 1;
    387     // worst storage, due to relative size of different edge types, is
    388     // quads * 3 / 2
    389     size_t quadSize = (ptCount * 3 >> 1) * sizeof(SkQuadraticEdge);
    390 #if 0
    391     size_t lineSize = (ptCount << 1) * sizeof(SkEdge);
    392     size_t cubicSize = (ptCount * 3 / 4) * sizeof(SkCubicEdge);
    393     SkASSERT(lineSize <= quadSize);
    394     SkASSERT(cubicSize <= quadSize);
    395 #endif
    396     *storage = quadSize;
    397     return edgeCount;
    398 }
    399 #endif
    400 
    401 ///////////////////////////////////////////////////////////////////////////////
    402 
    403 extern "C" {
    404     static int edge_compare(const void* a, const void* b) {
    405         const SkEdge* edgea = *(const SkEdge**)a;
    406         const SkEdge* edgeb = *(const SkEdge**)b;
    407 
    408         int valuea = edgea->fFirstY;
    409         int valueb = edgeb->fFirstY;
    410 
    411         if (valuea == valueb) {
    412             valuea = edgea->fX;
    413             valueb = edgeb->fX;
    414         }
    415 
    416         // this overflows if valuea >>> valueb or vice-versa
    417         //     return valuea - valueb;
    418         // do perform the slower but safe compares
    419         return (valuea < valueb) ? -1 : (valuea > valueb);
    420     }
    421 }
    422 
    423 static SkEdge* sort_edges(SkEdge* list[], int count, SkEdge** last) {
    424     qsort(list, count, sizeof(SkEdge*), edge_compare);
    425 
    426     // now make the edges linked in sorted order
    427     for (int i = 1; i < count; i++) {
    428         list[i - 1]->fNext = list[i];
    429         list[i]->fPrev = list[i - 1];
    430     }
    431 
    432     *last = list[count - 1];
    433     return list[0];
    434 }
    435 
    436 // clipRect may be null, even though we always have a clip. This indicates that
    437 // the path is contained in the clip, and so we can ignore it during the blit
    438 //
    439 // clipRect (if no null) has already been shifted up
    440 //
    441 void sk_fill_path(const SkPath& path, const SkIRect* clipRect, SkBlitter* blitter,
    442                   int start_y, int stop_y, int shiftEdgesUp,
    443                   const SkRegion& clipRgn) {
    444     SkASSERT(&path && blitter);
    445 
    446 #ifdef USE_NEW_BUILDER
    447     SkEdgeBuilder   builder;
    448 
    449     int count = builder.build(path, clipRect, shiftEdgesUp);
    450     SkEdge**    list = builder.edgeList();
    451 #else
    452     size_t  size;
    453     int     maxCount = cheap_worst_case_edge_count(path, &size);
    454 
    455 #ifdef SK_DEBUG
    456     {
    457         size_t  size2;
    458         int     maxCount2 = worst_case_edge_count(path, &size2);
    459 
    460         SkASSERT(maxCount >= maxCount2 && size >= size2);
    461     }
    462 #endif
    463 
    464     SkAutoMalloc    memory(maxCount * sizeof(SkEdge*) + size);
    465     SkEdge**        list = (SkEdge**)memory.get();
    466     SkEdge*         initialEdge = (SkEdge*)(list + maxCount);
    467     int             count = build_edges(initialEdge, path, clipRect, list,
    468                                         shiftEdgesUp);
    469     SkASSERT(count <= maxCount);
    470 #endif
    471 
    472     if (count < 2) {
    473         if (path.isInverseFillType()) {
    474             const SkIRect& clipRect = clipRgn.getBounds();
    475             blitter->blitRect(clipRect.fLeft << shiftEdgesUp,
    476                               clipRect.fTop << shiftEdgesUp,
    477                               clipRect.width() << shiftEdgesUp,
    478                               clipRect.height() << shiftEdgesUp);
    479         }
    480 
    481         return;
    482     }
    483 
    484     SkEdge headEdge, tailEdge, *last;
    485     // this returns the first and last edge after they're sorted into a dlink list
    486     SkEdge* edge = sort_edges(list, count, &last);
    487 
    488     headEdge.fPrev = NULL;
    489     headEdge.fNext = edge;
    490     headEdge.fFirstY = kEDGE_HEAD_Y;
    491     headEdge.fX = SK_MinS32;
    492     edge->fPrev = &headEdge;
    493 
    494     tailEdge.fPrev = last;
    495     tailEdge.fNext = NULL;
    496     tailEdge.fFirstY = kEDGE_TAIL_Y;
    497     last->fNext = &tailEdge;
    498 
    499     // now edge is the head of the sorted linklist
    500 
    501     start_y <<= shiftEdgesUp;
    502     stop_y <<= shiftEdgesUp;
    503     if (clipRect && start_y < clipRect->fTop) {
    504         start_y = clipRect->fTop;
    505     }
    506     if (clipRect && stop_y > clipRect->fBottom) {
    507         stop_y = clipRect->fBottom;
    508     }
    509 
    510     InverseBlitter  ib;
    511     PrePostProc     proc = NULL;
    512 
    513     if (path.isInverseFillType()) {
    514         ib.setBlitter(blitter, clipRgn.getBounds(), shiftEdgesUp);
    515         blitter = &ib;
    516         proc = PrePostInverseBlitterProc;
    517     }
    518 
    519     walk_edges(&headEdge, path.getFillType(), blitter, start_y, stop_y, proc);
    520 }
    521 
    522 void sk_blit_above(SkBlitter* blitter, const SkIRect& ir, const SkRegion& clip) {
    523     const SkIRect& cr = clip.getBounds();
    524     SkIRect tmp;
    525 
    526     tmp.fLeft = cr.fLeft;
    527     tmp.fRight = cr.fRight;
    528     tmp.fTop = cr.fTop;
    529     tmp.fBottom = ir.fTop;
    530     if (!tmp.isEmpty()) {
    531         blitter->blitRectRegion(tmp, clip);
    532     }
    533 }
    534 
    535 void sk_blit_below(SkBlitter* blitter, const SkIRect& ir, const SkRegion& clip) {
    536     const SkIRect& cr = clip.getBounds();
    537     SkIRect tmp;
    538 
    539     tmp.fLeft = cr.fLeft;
    540     tmp.fRight = cr.fRight;
    541     tmp.fTop = ir.fBottom;
    542     tmp.fBottom = cr.fBottom;
    543     if (!tmp.isEmpty()) {
    544         blitter->blitRectRegion(tmp, clip);
    545     }
    546 }
    547 
    548 ///////////////////////////////////////////////////////////////////////////////
    549 
    550 SkScanClipper::SkScanClipper(SkBlitter* blitter, const SkRegion* clip,
    551                              const SkIRect& ir) {
    552     fBlitter = NULL;     // null means blit nothing
    553     fClipRect = NULL;
    554 
    555     if (clip) {
    556         fClipRect = &clip->getBounds();
    557         if (!SkIRect::Intersects(*fClipRect, ir)) { // completely clipped out
    558             return;
    559         }
    560 
    561         if (clip->isRect()) {
    562             if (fClipRect->contains(ir)) {
    563                 fClipRect = NULL;
    564             } else {
    565                 // only need a wrapper blitter if we're horizontally clipped
    566                 if (fClipRect->fLeft > ir.fLeft || fClipRect->fRight < ir.fRight) {
    567                     fRectBlitter.init(blitter, *fClipRect);
    568                     blitter = &fRectBlitter;
    569                 }
    570             }
    571         } else {
    572             fRgnBlitter.init(blitter, clip);
    573             blitter = &fRgnBlitter;
    574         }
    575     }
    576     fBlitter = blitter;
    577 }
    578 
    579 ///////////////////////////////////////////////////////////////////////////////
    580 
    581 static bool clip_to_limit(const SkRegion& orig, SkRegion* reduced) {
    582     const int32_t limit = 32767;
    583 
    584     SkIRect limitR;
    585     limitR.set(-limit, -limit, limit, limit);
    586     if (limitR.contains(orig.getBounds())) {
    587         return false;
    588     }
    589     reduced->op(orig, limitR, SkRegion::kIntersect_Op);
    590     return true;
    591 }
    592 
    593 void SkScan::FillPath(const SkPath& path, const SkRegion& origClip,
    594                       SkBlitter* blitter) {
    595     if (origClip.isEmpty()) {
    596         return;
    597     }
    598 
    599     // Our edges are fixed-point, and don't like the bounds of the clip to
    600     // exceed that. Here we trim the clip just so we don't overflow later on
    601     const SkRegion* clipPtr = &origClip;
    602     SkRegion finiteClip;
    603     if (clip_to_limit(origClip, &finiteClip)) {
    604         if (finiteClip.isEmpty()) {
    605             return;
    606         }
    607         clipPtr = &finiteClip;
    608     }
    609         // don't reference "origClip" any more, just use clipPtr
    610 
    611     SkIRect ir;
    612     path.getBounds().round(&ir);
    613     if (ir.isEmpty()) {
    614         if (path.isInverseFillType()) {
    615             blitter->blitRegion(*clipPtr);
    616         }
    617         return;
    618     }
    619 
    620     SkScanClipper   clipper(blitter, clipPtr, ir);
    621 
    622     blitter = clipper.getBlitter();
    623     if (blitter) {
    624         // we have to keep our calls to blitter in sorted order, so we
    625         // must blit the above section first, then the middle, then the bottom.
    626         if (path.isInverseFillType()) {
    627             sk_blit_above(blitter, ir, *clipPtr);
    628         }
    629         sk_fill_path(path, clipper.getClipRect(), blitter, ir.fTop, ir.fBottom,
    630                      0, *clipPtr);
    631         if (path.isInverseFillType()) {
    632             sk_blit_below(blitter, ir, *clipPtr);
    633         }
    634     } else {
    635         // what does it mean to not have a blitter if path.isInverseFillType???
    636     }
    637 }
    638 
    639 ///////////////////////////////////////////////////////////////////////////////
    640 
    641 static int build_tri_edges(SkEdge edge[], const SkPoint pts[],
    642                            const SkIRect* clipRect, SkEdge* list[]) {
    643     SkEdge** start = list;
    644 
    645     if (edge->setLine(pts[0], pts[1], clipRect, 0)) {
    646         *list++ = edge;
    647         edge = (SkEdge*)((char*)edge + sizeof(SkEdge));
    648     }
    649     if (edge->setLine(pts[1], pts[2], clipRect, 0)) {
    650         *list++ = edge;
    651         edge = (SkEdge*)((char*)edge + sizeof(SkEdge));
    652     }
    653     if (edge->setLine(pts[2], pts[0], clipRect, 0)) {
    654         *list++ = edge;
    655     }
    656     return (int)(list - start);
    657 }
    658 
    659 
    660 static void sk_fill_triangle(const SkPoint pts[], const SkIRect* clipRect,
    661                              SkBlitter* blitter, const SkIRect& ir) {
    662     SkASSERT(pts && blitter);
    663 
    664     SkEdge edgeStorage[3];
    665     SkEdge* list[3];
    666 
    667     int count = build_tri_edges(edgeStorage, pts, clipRect, list);
    668     if (count < 2) {
    669         return;
    670     }
    671 
    672     SkEdge headEdge, tailEdge, *last;
    673 
    674     // this returns the first and last edge after they're sorted into a dlink list
    675     SkEdge* edge = sort_edges(list, count, &last);
    676 
    677     headEdge.fPrev = NULL;
    678     headEdge.fNext = edge;
    679     headEdge.fFirstY = kEDGE_HEAD_Y;
    680     headEdge.fX = SK_MinS32;
    681     edge->fPrev = &headEdge;
    682 
    683     tailEdge.fPrev = last;
    684     tailEdge.fNext = NULL;
    685     tailEdge.fFirstY = kEDGE_TAIL_Y;
    686     last->fNext = &tailEdge;
    687 
    688     // now edge is the head of the sorted linklist
    689     int stop_y = ir.fBottom;
    690     if (clipRect && stop_y > clipRect->fBottom) {
    691         stop_y = clipRect->fBottom;
    692     }
    693     int start_y = ir.fTop;
    694     if (clipRect && start_y < clipRect->fTop) {
    695         start_y = clipRect->fTop;
    696     }
    697     walk_edges(&headEdge, SkPath::kEvenOdd_FillType, blitter, start_y, stop_y, NULL);
    698 }
    699 
    700 void SkScan::FillTriangle(const SkPoint pts[], const SkRegion* clip,
    701                           SkBlitter* blitter) {
    702     if (clip && clip->isEmpty()) {
    703         return;
    704     }
    705 
    706     SkRect  r;
    707     SkIRect ir;
    708     r.set(pts, 3);
    709     r.round(&ir);
    710     if (ir.isEmpty()) {
    711         return;
    712     }
    713 
    714     SkScanClipper   clipper(blitter, clip, ir);
    715 
    716     blitter = clipper.getBlitter();
    717     if (NULL != blitter) {
    718         sk_fill_triangle(pts, clipper.getClipRect(), blitter, ir);
    719     }
    720 }
    721 
    722