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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 "include/private/base/SkTo.h"
12 #include "src/core/SkEdge.h"
13 
14 #include <utility>
15 
16 struct SkAnalyticEdge {
17     // Similar to SkEdge, the conic edges will be converted to quadratic edges
18     enum Type {
19         kLine_Type,
20         kQuad_Type,
21         kCubic_Type
22     };
23 
24     SkAnalyticEdge* fNext;
25     SkAnalyticEdge* fPrev;
26 
27     // During aaa_walk_edges, if this edge is a left edge,
28     // then fRiteE is its corresponding right edge. Otherwise it's nullptr.
29     SkAnalyticEdge* fRiteE;
30 
31     SkFixed fX;
32     SkFixed fDX;
33     SkFixed fUpperX;        // The x value when y = fUpperY
34     SkFixed fY;             // The current y
35     SkFixed fUpperY;        // The upper bound of y (our edge is from y = fUpperY to y = fLowerY)
36     SkFixed fLowerY;        // The lower bound of y (our edge is from y = fUpperY to y = fLowerY)
37     SkFixed fDY;            // abs(1/fDX); may be SK_MaxS32 when fDX is close to 0.
38                             // fDY is only used for blitting trapezoids.
39 
40     SkFixed fSavedX;        // For deferred blitting
41     SkFixed fSavedY;        // For deferred blitting
42     SkFixed fSavedDY;       // For deferred blitting
43 
44     Type    fEdgeType;      // Remembers the *initial* edge type
45 
46     int8_t  fCurveCount;    // only used by kQuad(+) and kCubic(-)
47     uint8_t fCurveShift;    // appled to all Dx/DDx/DDDx except for fCubicDShift exception
48     uint8_t fCubicDShift;   // applied to fCDx and fCDy only in cubic
49     int8_t  fWinding;       // 1 or -1
50 
51     static const int kDefaultAccuracy = 2; // default accuracy for snapping
52 
SnapYSkAnalyticEdge53     static inline SkFixed SnapY(SkFixed y) {
54         const int accuracy = kDefaultAccuracy;
55         // This approach is safer than left shift, round, then right shift
56         return ((unsigned)y + (SK_Fixed1 >> (accuracy + 1))) >> (16 - accuracy) << (16 - accuracy);
57     }
58 
59     // Update fX, fY of this edge so fY = y
goYSkAnalyticEdge60     inline void goY(SkFixed y) {
61         if (y == fY + SK_Fixed1) {
62             fX = fX + fDX;
63             fY = y;
64         } else if (y != fY) {
65             // Drop lower digits as our alpha only has 8 bits
66             // (fDX and y - fUpperY may be greater than SK_Fixed1)
67             fX = fUpperX + SkFixedMul(fDX, y - fUpperY);
68             fY = y;
69         }
70     }
71 
goYSkAnalyticEdge72     inline void goY(SkFixed y, int yShift) {
73         SkASSERT(yShift >= 0 && yShift <= kDefaultAccuracy);
74         SkASSERT(fDX == 0 || y - fY == SK_Fixed1 >> yShift);
75         fY = y;
76         fX += fDX >> yShift;
77     }
78 
saveXYSkAnalyticEdge79     inline void saveXY(SkFixed x, SkFixed y, SkFixed dY) {
80         fSavedX = x;
81         fSavedY = y;
82         fSavedDY = dY;
83     }
84 
85     bool setLine(const SkPoint& p0, const SkPoint& p1);
86     bool updateLine(SkFixed ax, SkFixed ay, SkFixed bx, SkFixed by, SkFixed slope);
87 
88     // return true if we're NOT done with this edge
89     bool update(SkFixed last_y, bool sortY = true);
90 
91 #ifdef SK_DEBUG
dumpSkAnalyticEdge92     void dump() const {
93         SkDebugf("edge: upperY:%d lowerY:%d y:%g x:%g dx:%g w:%d\n",
94                  fUpperY, fLowerY, SkFixedToFloat(fY), SkFixedToFloat(fX),
95                  SkFixedToFloat(fDX), fWinding);
96     }
97 
validateSkAnalyticEdge98     void validate() const {
99          SkASSERT(fPrev && fNext);
100          SkASSERT(fPrev->fNext == this);
101          SkASSERT(fNext->fPrev == this);
102 
103          SkASSERT(fUpperY < fLowerY);
104          SkASSERT(SkAbs32(fWinding) == 1);
105     }
106 #endif
107 };
108 
109 struct SkAnalyticQuadraticEdge : public SkAnalyticEdge {
110     SkQuadraticEdge fQEdge;
111 
112     // snap y to integer points in the middle of the curve to accelerate AAA path filling
113     SkFixed fSnappedX, fSnappedY;
114 
115     bool setQuadratic(const SkPoint pts[3]);
116     bool updateQuadratic();
keepContinuousSkAnalyticQuadraticEdge117     inline void keepContinuous() {
118         // We use fX as the starting x to ensure the continuouty.
119         // Without it, we may break the sorted edge list.
120         SkASSERT(SkAbs32(fX - SkFixedMul(fY - fSnappedY, fDX) - fSnappedX) < SK_Fixed1);
121         SkASSERT(SkAbs32(fY - fSnappedY) < SK_Fixed1); // This may differ due to smooth jump
122         fSnappedX = fX;
123         fSnappedY = fY;
124     }
125 };
126 
127 struct SkAnalyticCubicEdge : public SkAnalyticEdge {
128     SkCubicEdge fCEdge;
129 
130     SkFixed fSnappedY; // to make sure that y is increasing with smooth jump and snapping
131 
132     bool setCubic(const SkPoint pts[4], bool sortY = true);
133     bool updateCubic(bool sortY = true);
keepContinuousSkAnalyticCubicEdge134     inline void keepContinuous() {
135         SkASSERT(SkAbs32(fX - SkFixedMul(fDX, fY - SnapY(fCEdge.fCy)) - fCEdge.fCx) < SK_Fixed1);
136         fCEdge.fCx = fX;
137         fSnappedY = fY;
138     }
139 };
140 
141 struct SkBezier {
142     int fCount; // 2 line, 3 quad, 4 cubic
143     SkPoint fP0;
144     SkPoint fP1;
145 
146     // See if left shift, covert to SkFDot6, and round has the same top and bottom y.
147     // If so, the edge will be empty.
148     static inline bool IsEmpty(SkScalar y0, SkScalar y1, int shift = 2) {
149 #ifdef SK_RASTERIZE_EVEN_ROUNDING
150         return SkScalarRoundToFDot6(y0, shift) == SkScalarRoundToFDot6(y1, shift);
151 #else
152         SkScalar scale = (1 << (shift + 6));
153         return SkFDot6Round(int(y0 * scale)) == SkFDot6Round(int(y1 * scale));
154 #endif
155     }
156 };
157 
158 struct SkLine : public SkBezier {
setSkLine159     bool set(const SkPoint pts[2]){
160         if (IsEmpty(pts[0].fY, pts[1].fY)) {
161             return false;
162         }
163         fCount = 2;
164         fP0 = pts[0];
165         fP1 = pts[1];
166         return true;
167     }
168 };
169 
170 struct SkQuad : public SkBezier {
171     SkPoint fP2;
172 
setSkQuad173     bool set(const SkPoint pts[3]){
174         if (IsEmpty(pts[0].fY, pts[2].fY)) {
175             return false;
176         }
177         fCount = 3;
178         fP0 = pts[0];
179         fP1 = pts[1];
180         fP2 = pts[2];
181         return true;
182     }
183 };
184 
185 struct SkCubic : public SkBezier {
186     SkPoint fP2;
187     SkPoint fP3;
188 
setSkCubic189     bool set(const SkPoint pts[4]){
190         // We do not chop at y extrema for cubics so pts[0], pts[1], pts[2], pts[3] may not be
191         // monotonic. Therefore, we have to check the emptiness for all three pairs, instead of just
192         // checking IsEmpty(pts[0].fY, pts[3].fY).
193         if (IsEmpty(pts[0].fY, pts[1].fY) && IsEmpty(pts[1].fY, pts[2].fY) &&
194                 IsEmpty(pts[2].fY, pts[3].fY)) {
195             return false;
196         }
197         fCount = 4;
198         fP0 = pts[0];
199         fP1 = pts[1];
200         fP2 = pts[2];
201         fP3 = pts[3];
202         return true;
203     }
204 };
205 
206 #endif
207