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SkDashPath.cpp (17871B)


      1 /*
      2 * Copyright 2014 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 #include "src/utils/SkDashPathPriv.h"
      9 
     10 #include "include/core/SkPaint.h"
     11 #include "include/core/SkPath.h"
     12 #include "include/core/SkPathBuilder.h"
     13 #include "include/core/SkPathMeasure.h"
     14 #include "include/core/SkPoint.h"
     15 #include "include/core/SkRect.h"
     16 #include "include/core/SkScalar.h"
     17 #include "include/core/SkSpan.h"
     18 #include "include/core/SkStrokeRec.h"
     19 #include "include/core/SkTypes.h"
     20 #include "include/private/base/SkAlign.h"
     21 #include "include/private/base/SkFloatingPoint.h"
     22 #include "include/private/base/SkTo.h"
     23 #include "src/core/SkPathEffectBase.h"
     24 #include "src/core/SkPointPriv.h"
     25 
     26 #include <algorithm>
     27 #include <cmath>
     28 #include <cstddef>
     29 #include <cstdint>
     30 
     31 static inline int is_even(int x) {
     32    return !(x & 1);
     33 }
     34 
     35 static SkScalar find_first_interval(SkSpan<const SkScalar> intervals, SkScalar phase,
     36                                    size_t* index) {
     37    for (size_t i = 0; i < intervals.size(); ++i) {
     38        SkScalar gap = intervals[i];
     39        if (phase > gap || (phase == gap && gap)) {
     40            phase -= gap;
     41        } else {
     42            *index = i;
     43            return gap - phase;
     44        }
     45    }
     46    // If we get here, phase "appears" to be larger than our length. This
     47    // shouldn't happen with perfect precision, but we can accumulate errors
     48    // during the initial length computation (rounding can make our sum be too
     49    // big or too small. In that event, we just have to eat the error here.
     50    *index = 0;
     51    return intervals[0];
     52 }
     53 
     54 void SkDashPath::CalcDashParameters(SkScalar phase, SkSpan<const SkScalar> intervals,
     55                                    SkScalar* initialDashLength, size_t* initialDashIndex,
     56                                    SkScalar* intervalLength, SkScalar* adjustedPhase) {
     57    SkScalar len = 0;
     58    for (SkScalar interval : intervals) {
     59        len += interval;
     60    }
     61    *intervalLength = len;
     62    // Adjust phase to be between 0 and len, "flipping" phase if negative.
     63    // e.g., if len is 100, then phase of -20 (or -120) is equivalent to 80
     64    if (adjustedPhase) {
     65        if (phase < 0) {
     66            phase = -phase;
     67            if (phase > len) {
     68                phase = SkScalarMod(phase, len);
     69            }
     70            phase = len - phase;
     71 
     72            // Due to finite precision, it's possible that phase == len,
     73            // even after the subtract (if len >>> phase), so fix that here.
     74            // This fixes http://crbug.com/124652 .
     75            SkASSERT(phase <= len);
     76            if (phase == len) {
     77                phase = 0;
     78            }
     79        } else if (phase >= len) {
     80            phase = SkScalarMod(phase, len);
     81        }
     82        *adjustedPhase = phase;
     83    }
     84    SkASSERT(phase >= 0 && phase < len);
     85 
     86    *initialDashLength = find_first_interval(intervals, phase, initialDashIndex);
     87 
     88    SkASSERT(*initialDashLength >= 0);
     89    SkASSERT(*initialDashIndex < intervals.size());
     90 }
     91 
     92 static void outset_for_stroke(SkRect* rect, const SkStrokeRec& rec) {
     93    SkScalar radius = SkScalarHalf(rec.getWidth());
     94    if (0 == radius) {
     95        radius = SK_Scalar1;    // hairlines
     96    }
     97    if (SkPaint::kMiter_Join == rec.getJoin()) {
     98        radius *= rec.getMiter();
     99    }
    100    rect->outset(radius, radius);
    101 }
    102 
    103 // If line is zero-length, bump out the end by a tiny amount
    104 // to draw endcaps. The bump factor is sized so that
    105 // SkPoint::Distance() computes a non-zero length.
    106 // Offsets SK_ScalarNearlyZero or smaller create empty paths when Iter measures length.
    107 // Large values are scaled by SK_ScalarNearlyZero so significant bits change.
    108 static void adjust_zero_length_line(SkPoint pts[2]) {
    109    SkASSERT(pts[0] == pts[1]);
    110    pts[1].fX += std::max(1.001f, pts[1].fX) * SK_ScalarNearlyZero;
    111 }
    112 
    113 static bool clip_line(SkPoint pts[2], const SkRect& bounds, SkScalar intervalLength,
    114                      SkScalar priorPhase) {
    115    SkVector dxy = pts[1] - pts[0];
    116 
    117    // only horizontal or vertical lines
    118    if (dxy.fX && dxy.fY) {
    119        return false;
    120    }
    121    int xyOffset = SkToBool(dxy.fY);  // 0 to adjust horizontal, 1 to adjust vertical
    122 
    123    SkScalar minXY = (&pts[0].fX)[xyOffset];
    124    SkScalar maxXY = (&pts[1].fX)[xyOffset];
    125    bool swapped = maxXY < minXY;
    126    if (swapped) {
    127        using std::swap;
    128        swap(minXY, maxXY);
    129    }
    130 
    131    SkASSERT(minXY <= maxXY);
    132    SkScalar leftTop = (&bounds.fLeft)[xyOffset];
    133    SkScalar rightBottom = (&bounds.fRight)[xyOffset];
    134    if (maxXY < leftTop || minXY > rightBottom) {
    135        return false;
    136    }
    137 
    138    // Now we actually perform the chop, removing the excess to the left/top and
    139    // right/bottom of the bounds (keeping our new line "in phase" with the dash,
    140    // hence the (mod intervalLength).
    141 
    142    if (minXY < leftTop) {
    143        minXY = leftTop - SkScalarMod(leftTop - minXY, intervalLength);
    144        if (!swapped) {
    145            minXY -= priorPhase;  // for rectangles, adjust by prior phase
    146        }
    147    }
    148    if (maxXY > rightBottom) {
    149        maxXY = rightBottom + SkScalarMod(maxXY - rightBottom, intervalLength);
    150        if (swapped) {
    151            maxXY += priorPhase;  // for rectangles, adjust by prior phase
    152        }
    153    }
    154 
    155    SkASSERT(maxXY >= minXY);
    156    if (swapped) {
    157        using std::swap;
    158        swap(minXY, maxXY);
    159    }
    160    (&pts[0].fX)[xyOffset] = minXY;
    161    (&pts[1].fX)[xyOffset] = maxXY;
    162 
    163    if (minXY == maxXY) {
    164        adjust_zero_length_line(pts);
    165    }
    166    return true;
    167 }
    168 
    169 // Handles only lines and rects.
    170 // If cull_path() returns true, builder is the new smaller path,
    171 // otherwise builder may have been changed but you should ignore it.
    172 static bool cull_path(const SkPath& srcPath, const SkStrokeRec& rec,
    173                      const SkRect* cullRect, SkScalar intervalLength, SkPathBuilder* builder) {
    174    if (!cullRect) {
    175        SkPoint pts[2];
    176        if (srcPath.isLine(pts) && pts[0] == pts[1]) {
    177            adjust_zero_length_line(pts);
    178            builder->moveTo(pts[0]);
    179            builder->lineTo(pts[1]);
    180            return true;
    181        }
    182        return false;
    183    }
    184 
    185    SkRect bounds;
    186    bounds = *cullRect;
    187    outset_for_stroke(&bounds, rec);
    188 
    189    {
    190        SkPoint pts[2];
    191        if (srcPath.isLine(pts)) {
    192            if (clip_line(pts, bounds, intervalLength, 0)) {
    193                builder->moveTo(pts[0]);
    194                builder->lineTo(pts[1]);
    195                return true;
    196            }
    197            return false;
    198        }
    199    }
    200 
    201    if (srcPath.isRect(nullptr)) {
    202        // We'll break the rect into four lines, culling each separately.
    203        SkPath::Iter iter(srcPath, false);
    204 
    205        std::optional<SkPath::IterRec> it = iter.next();
    206        SkASSERT(it.has_value() && it->fVerb == SkPathVerb::kMove);
    207 
    208        double accum = 0;  // Sum of unculled edge lengths to keep the phase correct.
    209                           // Intentionally a double to minimize the risk of overflow and drift.
    210        while ((it = iter.next()) && (it->fVerb == SkPathVerb::kLine)) {
    211            // Notice this vector v and accum work with the original unclipped length.
    212            SkVector v = it->fPoints[1] - it->fPoints[0];
    213 
    214            SkPoint pts[2] = {it->fPoints[0], it->fPoints[1]};
    215            if (clip_line(pts, bounds, intervalLength, std::fmod(accum, intervalLength))) {
    216                // pts[0] may have just been changed by clip_line().
    217                // If that's not where we ended the previous lineTo(), we need to moveTo() there.
    218                auto maybeLast = builder->getLastPt();
    219                if (!maybeLast || *maybeLast != pts[0]) {
    220                    builder->moveTo(pts[0]);
    221                }
    222                builder->lineTo(pts[1]);
    223            }
    224 
    225            // We either just traveled v.fX horizontally or v.fY vertically.
    226            SkASSERT(v.fX == 0 || v.fY == 0);
    227            accum += SkScalarAbs(v.fX + v.fY);
    228        }
    229        return !builder->isEmpty();
    230    }
    231 
    232    return false;
    233 }
    234 
    235 class SpecialLineRec {
    236 public:
    237    bool init(const SkPath& src, SkPathBuilder* dst, SkStrokeRec* rec,
    238              int intervalCount, SkScalar intervalLength) {
    239        if (rec->isHairlineStyle() || !src.isLine(fPts)) {
    240            return false;
    241        }
    242 
    243        // can relax this in the future, if we handle square and round caps
    244        if (SkPaint::kButt_Cap != rec->getCap()) {
    245            return false;
    246        }
    247 
    248        SkScalar pathLength = SkPoint::Distance(fPts[0], fPts[1]);
    249 
    250        fTangent = fPts[1] - fPts[0];
    251        if (fTangent.isZero()) {
    252            return false;
    253        }
    254 
    255        fPathLength = pathLength;
    256        fTangent.scale(sk_ieee_float_divide(1.0f, pathLength));
    257        if (!SkIsFinite(fTangent.fX, fTangent.fY)) {
    258            return false;
    259        }
    260        SkPointPriv::RotateCCW(fTangent, &fNormal);
    261        fNormal.scale(SkScalarHalf(rec->getWidth()));
    262 
    263        // now estimate how many quads will be added to the path
    264        //     resulting segments = pathLen * intervalCount / intervalLen
    265        //     resulting points = 4 * segments
    266 
    267        SkScalar ptCount = pathLength * intervalCount / (float)intervalLength;
    268        ptCount = std::min(ptCount, SkDashPath::kMaxDashCount);
    269        if (SkIsNaN(ptCount)) {
    270            return false;
    271        }
    272        int n = SkScalarCeilToInt(ptCount) << 2;
    273        dst->incReserve(n);
    274 
    275        // we will take care of the stroking
    276        rec->setFillStyle();
    277        return true;
    278    }
    279 
    280    void addSegment(SkScalar d0, SkScalar d1, SkPathBuilder* path) const {
    281        SkASSERT(d0 <= fPathLength);
    282        // clamp the segment to our length
    283        if (d1 > fPathLength) {
    284            d1 = fPathLength;
    285        }
    286 
    287        SkScalar x0 = fPts[0].fX + fTangent.fX * d0;
    288        SkScalar x1 = fPts[0].fX + fTangent.fX * d1;
    289        SkScalar y0 = fPts[0].fY + fTangent.fY * d0;
    290        SkScalar y1 = fPts[0].fY + fTangent.fY * d1;
    291 
    292        SkPoint pts[4];
    293        pts[0].set(x0 + fNormal.fX, y0 + fNormal.fY);   // moveTo
    294        pts[1].set(x1 + fNormal.fX, y1 + fNormal.fY);   // lineTo
    295        pts[2].set(x1 - fNormal.fX, y1 - fNormal.fY);   // lineTo
    296        pts[3].set(x0 - fNormal.fX, y0 - fNormal.fY);   // lineTo
    297 
    298        path->addPolygon(pts, false);
    299    }
    300 
    301 private:
    302    SkPoint fPts[2];
    303    SkVector fTangent;
    304    SkVector fNormal;
    305    SkScalar fPathLength;
    306 };
    307 
    308 
    309 bool SkDashPath::InternalFilter(SkPathBuilder* dst, const SkPath& src, SkStrokeRec* rec,
    310                                const SkRect* cullRect, SkSpan<const SkScalar> aIntervals,
    311                                SkScalar initialDashLength, int32_t initialDashIndex,
    312                                SkScalar intervalLength, SkScalar startPhase,
    313                                StrokeRecApplication strokeRecApplication) {
    314    const size_t count = aIntervals.size();
    315    // we must always have an even number of intervals
    316    SkASSERT(is_even(count));
    317 
    318    // we do nothing if the src wants to be filled
    319    SkStrokeRec::Style style = rec->getStyle();
    320    if (SkStrokeRec::kFill_Style == style || SkStrokeRec::kStrokeAndFill_Style == style) {
    321        return false;
    322    }
    323 
    324    const SkScalar* intervals = aIntervals.data();
    325    SkScalar        dashCount = 0;
    326 
    327    SkPathBuilder builder;
    328    SkPath cullPathStorage;
    329    const SkPath* srcPtr = &src;
    330    if (cull_path(src, *rec, cullRect, intervalLength, &builder)) {
    331        // if rect is closed, starts in a dash, and ends in a dash, add the initial join
    332        // potentially a better fix is described here: skbug.com/40038693
    333        if (src.isRect(nullptr) && src.isLastContourClosed() && is_even(initialDashIndex)) {
    334            SkScalar pathLength = SkPathMeasure(src, false, rec->getResScale()).getLength();
    335            SkScalar endPhase = SkScalarMod(pathLength + startPhase, intervalLength);
    336            size_t index = 0;
    337            while (endPhase > intervals[index]) {
    338                endPhase -= intervals[index++];
    339                SkASSERT(index <= count);
    340                if (index == count) {
    341                    // We have run out of intervals. endPhase "should" never get to this point,
    342                    // but it could if the subtracts underflowed. Hence we will pin it as if it
    343                    // perfectly ran through the intervals.
    344                    // See crbug.com/875494 (and skbug.com/40039544)
    345                    endPhase = 0;
    346                    break;
    347                }
    348            }
    349            // if dash ends inside "on", or ends at beginning of "off"
    350            if (is_even(index) == (endPhase > 0)) {
    351                SkPoint midPoint = src.getPoint(0);
    352                // get vector at end of rect
    353                int last = src.countPoints() - 1;
    354                while (midPoint == src.getPoint(last)) {
    355                    --last;
    356                    SkASSERT(last >= 0);
    357                }
    358                // get vector at start of rect
    359                int next = 1;
    360                while (midPoint == src.getPoint(next)) {
    361                    ++next;
    362                    SkASSERT(next < last);
    363                }
    364                SkVector v = midPoint - src.getPoint(last);
    365                const SkScalar kTinyOffset = SK_ScalarNearlyZero;
    366                // scale vector to make start of tiny right angle
    367                v *= kTinyOffset;
    368                builder.moveTo(midPoint - v);
    369                builder.lineTo(midPoint);
    370                v = midPoint - src.getPoint(next);
    371                // scale vector to make end of tiny right angle
    372                v *= kTinyOffset;
    373                builder.lineTo(midPoint - v);
    374            }
    375        }
    376 
    377        // If PathMeasure took a SkPathRaw, we could pass it the raw from src or the builder,
    378        // and not need to first 'detach' a path from the builder.
    379        cullPathStorage = builder.detach();
    380        srcPtr = &cullPathStorage;
    381    }
    382 
    383    SpecialLineRec lineRec;
    384    bool specialLine = (StrokeRecApplication::kAllow == strokeRecApplication) &&
    385                       lineRec.init(*srcPtr, dst, rec, count >> 1, intervalLength);
    386 
    387    SkPathMeasure   meas(*srcPtr, false, rec->getResScale());
    388 
    389    do {
    390        bool        skipFirstSegment = meas.isClosed();
    391        bool        addedSegment = false;
    392        SkScalar    length = meas.getLength();
    393        size_t      index = initialDashIndex;
    394 
    395        // Since the path length / dash length ratio may be arbitrarily large, we can exert
    396        // significant memory pressure while attempting to build the filtered path. To avoid this,
    397        // we simply give up dashing beyond a certain threshold.
    398        //
    399        // The original bug report (http://crbug.com/165432) is based on a path yielding more than
    400        // 90 million dash segments and crashing the memory allocator. A limit of 1 million
    401        // segments seems reasonable: at 2 verbs per segment * 9 bytes per verb, this caps the
    402        // maximum dash memory overhead at roughly 17MB per path.
    403        dashCount += length * (count >> 1) / intervalLength;
    404        if (dashCount > kMaxDashCount) {
    405            dst->reset();
    406            return false;
    407        }
    408 
    409        // Using double precision to avoid looping indefinitely due to single precision rounding
    410        // (for extreme path_length/dash_length ratios). See test_infinite_dash() unittest.
    411        double  distance = 0;
    412        double  dlen = initialDashLength;
    413 
    414        while (distance < length) {
    415            SkASSERT(dlen >= 0);
    416            addedSegment = false;
    417            if (is_even(index) && !skipFirstSegment) {
    418                addedSegment = true;
    419 
    420                if (specialLine) {
    421                    lineRec.addSegment(SkDoubleToScalar(distance),
    422                                       SkDoubleToScalar(distance + dlen),
    423                                       dst);
    424                } else {
    425                    meas.getSegment(SkDoubleToScalar(distance),
    426                                    SkDoubleToScalar(distance + dlen),
    427                                    dst, true);
    428                }
    429            }
    430            distance += dlen;
    431 
    432            // clear this so we only respect it the first time around
    433            skipFirstSegment = false;
    434 
    435            // wrap around our intervals array if necessary
    436            index += 1;
    437            SkASSERT(index <= count);
    438            if (index == count) {
    439                index = 0;
    440            }
    441 
    442            // fetch our next dlen
    443            dlen = intervals[index];
    444        }
    445 
    446        // extend if we ended on a segment and we need to join up with the (skipped) initial segment
    447        if (meas.isClosed() && is_even(initialDashIndex) &&
    448            initialDashLength >= 0) {
    449            meas.getSegment(0, initialDashLength, dst, !addedSegment);
    450        }
    451    } while (meas.nextContour());
    452 
    453    return true;
    454 }
    455 
    456 bool SkDashPath::FilterDashPath(SkPathBuilder* dst, const SkPath& src, SkStrokeRec* rec,
    457                                const SkRect* cullRect, const SkPathEffectBase::DashInfo& info) {
    458    if (!ValidDashPath(info.fPhase, info.fIntervals)) {
    459        return false;
    460    }
    461    SkScalar initialDashLength = 0;
    462    size_t initialDashIndex = 0;
    463    SkScalar intervalLength = 0;
    464    CalcDashParameters(info.fPhase, info.fIntervals, &initialDashLength,
    465                       &initialDashIndex, &intervalLength);
    466    return InternalFilter(dst, src, rec, cullRect, info.fIntervals, initialDashLength,
    467                          initialDashIndex, intervalLength, info.fPhase);
    468 }
    469 
    470 bool SkDashPath::ValidDashPath(SkScalar phase, SkSpan<const SkScalar> intervals) {
    471    if (intervals.size() < 2 || !SkIsAlign2(intervals.size())) {
    472        return false;
    473    }
    474    SkScalar length = 0;
    475    for (SkScalar interval : intervals) {
    476        if (interval < 0) {
    477            return false;
    478        }
    479        length += interval;
    480    }
    481    // watch out for values that might make us go out of bounds
    482    return length > 0 && SkIsFinite(phase, length);
    483 }