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      1 /*
      2  * Copyright 2006 The Android Open Source Project
      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 #ifndef SkAnalyticEdge_DEFINED
      9 #define SkAnalyticEdge_DEFINED
     10 
     11 #include "SkEdge.h"
     12 
     13 struct SkAnalyticEdge {
     14     // Similar to SkEdge, the conic edges will be converted to quadratic edges
     15     enum Type {
     16         kLine_Type,
     17         kQuad_Type,
     18         kCubic_Type
     19     };
     20 
     21     SkAnalyticEdge* fNext;
     22     SkAnalyticEdge* fPrev;
     23 
     24     // During aaa_walk_edges, if this edge is a left edge,
     25     // then fRiteE is its corresponding right edge. Otherwise it's nullptr.
     26     SkAnalyticEdge* fRiteE;
     27 
     28     SkFixed fX;
     29     SkFixed fDX;
     30     SkFixed fUpperX;        // The x value when y = fUpperY
     31     SkFixed fY;             // The current y
     32     SkFixed fUpperY;        // The upper bound of y (our edge is from y = fUpperY to y = fLowerY)
     33     SkFixed fLowerY;        // The lower bound of y (our edge is from y = fUpperY to y = fLowerY)
     34     SkFixed fDY;            // abs(1/fDX); may be SK_MaxS32 when fDX is close to 0.
     35                             // fDY is only used for blitting trapezoids.
     36 
     37     SkFixed fSavedX;        // For deferred blitting
     38     SkFixed fSavedY;        // For deferred blitting
     39     SkFixed fSavedDY;       // For deferred blitting
     40 
     41     int8_t  fCurveCount;    // only used by kQuad(+) and kCubic(-)
     42     uint8_t fCurveShift;    // appled to all Dx/DDx/DDDx except for fCubicDShift exception
     43     uint8_t fCubicDShift;   // applied to fCDx and fCDy only in cubic
     44     int8_t  fWinding;       // 1 or -1
     45 
     46     static const int kDefaultAccuracy = 2; // default accuracy for snapping
     47 
     48     static inline SkFixed SnapY(SkFixed y) {
     49         const int accuracy = kDefaultAccuracy;
     50         // This approach is safer than left shift, round, then right shift
     51         return ((unsigned)y + (SK_Fixed1 >> (accuracy + 1))) >> (16 - accuracy) << (16 - accuracy);
     52     }
     53 
     54     // Update fX, fY of this edge so fY = y
     55     inline void goY(SkFixed y) {
     56         if (y == fY + SK_Fixed1) {
     57             fX = fX + fDX;
     58             fY = y;
     59         } else if (y != fY) {
     60             // Drop lower digits as our alpha only has 8 bits
     61             // (fDX and y - fUpperY may be greater than SK_Fixed1)
     62             fX = fUpperX + SkFixedMul(fDX, y - fUpperY);
     63             fY = y;
     64         }
     65     }
     66 
     67     inline void goY(SkFixed y, int yShift) {
     68         SkASSERT(yShift >= 0 && yShift <= kDefaultAccuracy);
     69         SkASSERT(fDX == 0 || y - fY == SK_Fixed1 >> yShift);
     70         fY = y;
     71         fX += fDX >> yShift;
     72     }
     73 
     74     inline void saveXY(SkFixed x, SkFixed y, SkFixed dY) {
     75         fSavedX = x;
     76         fSavedY = y;
     77         fSavedDY = dY;
     78     }
     79 
     80     inline bool setLine(const SkPoint& p0, const SkPoint& p1);
     81     inline bool updateLine(SkFixed ax, SkFixed ay, SkFixed bx, SkFixed by, SkFixed slope);
     82 
     83 #ifdef SK_DEBUG
     84     void dump() const {
     85         SkDebugf("edge: upperY:%d lowerY:%d y:%g x:%g dx:%g w:%d\n",
     86                  fUpperY, fLowerY, SkFixedToFloat(fY), SkFixedToFloat(fX),
     87                  SkFixedToFloat(fDX), fWinding);
     88     }
     89 
     90     void validate() const {
     91          SkASSERT(fPrev && fNext);
     92          SkASSERT(fPrev->fNext == this);
     93          SkASSERT(fNext->fPrev == this);
     94 
     95          SkASSERT(fUpperY < fLowerY);
     96          SkASSERT(SkAbs32(fWinding) == 1);
     97     }
     98 #endif
     99 };
    100 
    101 struct SkAnalyticQuadraticEdge : public SkAnalyticEdge {
    102     SkQuadraticEdge fQEdge;
    103 
    104     // snap y to integer points in the middle of the curve to accelerate AAA path filling
    105     SkFixed fSnappedX, fSnappedY;
    106 
    107     bool setQuadratic(const SkPoint pts[3]);
    108     bool updateQuadratic();
    109     inline void keepContinuous() {
    110         // We use fX as the starting x to ensure the continuouty.
    111         // Without it, we may break the sorted edge list.
    112         SkASSERT(SkAbs32(fX - SkFixedMul(fY - fSnappedY, fDX) - fSnappedX) < SK_Fixed1);
    113         SkASSERT(SkAbs32(fY - fSnappedY) < SK_Fixed1); // This may differ due to smooth jump
    114         fSnappedX = fX;
    115         fSnappedY = fY;
    116     }
    117 };
    118 
    119 struct SkAnalyticCubicEdge : public SkAnalyticEdge {
    120     SkCubicEdge fCEdge;
    121 
    122     SkFixed fSnappedY; // to make sure that y is increasing with smooth jump and snapping
    123 
    124     bool setCubic(const SkPoint pts[4]);
    125     bool updateCubic();
    126     inline void keepContinuous() {
    127         SkASSERT(SkAbs32(fX - SkFixedMul(fDX, fY - SnapY(fCEdge.fCy)) - fCEdge.fCx) < SK_Fixed1);
    128         fCEdge.fCx = fX;
    129         fSnappedY = fY;
    130     }
    131 };
    132 
    133 bool SkAnalyticEdge::setLine(const SkPoint& p0, const SkPoint& p1) {
    134     fRiteE = nullptr;
    135 
    136     // We must set X/Y using the same way (e.g., times 4, to FDot6, then to Fixed) as Quads/Cubics.
    137     // Otherwise the order of the edge might be wrong due to precision limit.
    138     const int accuracy = kDefaultAccuracy;
    139     const int multiplier = (1 << kDefaultAccuracy);
    140     SkFixed x0 = SkFDot6ToFixed(SkScalarToFDot6(p0.fX * multiplier)) >> accuracy;
    141     SkFixed y0 = SnapY(SkFDot6ToFixed(SkScalarToFDot6(p0.fY * multiplier)) >> accuracy);
    142     SkFixed x1 = SkFDot6ToFixed(SkScalarToFDot6(p1.fX * multiplier)) >> accuracy;
    143     SkFixed y1 = SnapY(SkFDot6ToFixed(SkScalarToFDot6(p1.fY * multiplier)) >> accuracy);
    144 
    145     int winding = 1;
    146 
    147     if (y0 > y1) {
    148         SkTSwap(x0, x1);
    149         SkTSwap(y0, y1);
    150         winding = -1;
    151     }
    152 
    153     // are we a zero-height line?
    154     SkFDot6 dy = SkFixedToFDot6(y1 - y0);
    155     if (dy == 0) {
    156         return false;
    157     }
    158     SkFDot6 dx = SkFixedToFDot6(x1 - x0);
    159     SkFixed slope = QuickSkFDot6Div(dx, dy);
    160     SkFixed absSlope = SkAbs32(slope);
    161 
    162     fX          = x0;
    163     fDX         = slope;
    164     fUpperX     = x0;
    165     fY          = y0;
    166     fUpperY     = y0;
    167     fLowerY     = y1;
    168     fDY         = dx == 0 || slope == 0 ? SK_MaxS32 : absSlope < kInverseTableSize
    169                                                     ? QuickFDot6Inverse::Lookup(absSlope)
    170                                                     : SkAbs32(QuickSkFDot6Div(dy, dx));
    171     fCurveCount = 0;
    172     fWinding    = SkToS8(winding);
    173     fCurveShift = 0;
    174 
    175     return true;
    176 }
    177 
    178 #endif
    179