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1 /* |
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2 * Copyright 2012 Google Inc. |
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3 * |
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4 * Use of this source code is governed by a BSD-style license that can be |
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5 * found in the LICENSE file. |
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6 */ |
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7 |
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8 #ifndef SkPathOpsCubic_DEFINED |
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9 #define SkPathOpsCubic_DEFINED |
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10 |
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11 #include "SkPath.h" |
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12 #include "SkPathOpsPoint.h" |
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13 #include "SkTArray.h" |
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14 |
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15 struct SkDCubicPair { |
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16 const SkDCubic& first() const { return (const SkDCubic&) pts[0]; } |
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17 const SkDCubic& second() const { return (const SkDCubic&) pts[3]; } |
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18 SkDPoint pts[7]; |
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19 }; |
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20 |
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21 struct SkDCubic { |
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22 SkDPoint fPts[4]; |
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23 |
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24 void set(const SkPoint pts[4]) { |
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25 fPts[0] = pts[0]; |
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26 fPts[1] = pts[1]; |
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27 fPts[2] = pts[2]; |
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28 fPts[3] = pts[3]; |
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29 } |
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30 |
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31 static const int gPrecisionUnit; |
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32 |
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33 const SkDPoint& operator[](int n) const { SkASSERT(n >= 0 && n < 4); return fPts[n]; } |
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34 SkDPoint& operator[](int n) { SkASSERT(n >= 0 && n < 4); return fPts[n]; } |
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35 |
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36 void align(int endIndex, int ctrlIndex, SkDPoint* dstPt) const; |
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37 double calcPrecision() const; |
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38 SkDCubicPair chopAt(double t) const; |
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39 bool clockwise() const; |
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40 static void Coefficients(const double* cubic, double* A, double* B, double* C, double* D); |
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41 bool controlsContainedByEnds() const; |
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42 SkDVector dxdyAtT(double t) const; |
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43 bool endsAreExtremaInXOrY() const; |
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44 static int FindExtrema(double a, double b, double c, double d, double tValue[2]); |
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45 int findInflections(double tValues[]) const; |
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46 |
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47 static int FindInflections(const SkPoint a[4], double tValues[]) { |
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48 SkDCubic cubic; |
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49 cubic.set(a); |
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50 return cubic.findInflections(tValues); |
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51 } |
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52 |
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53 int findMaxCurvature(double tValues[]) const; |
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54 bool isLinear(int startIndex, int endIndex) const; |
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55 bool monotonicInY() const; |
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56 SkDPoint ptAtT(double t) const; |
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57 static int RootsReal(double A, double B, double C, double D, double t[3]); |
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58 static int RootsValidT(const double A, const double B, const double C, double D, double s[3]); |
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59 bool serpentine() const; |
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60 SkDCubic subDivide(double t1, double t2) const; |
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61 |
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62 static SkDCubic SubDivide(const SkPoint a[4], double t1, double t2) { |
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63 SkDCubic cubic; |
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64 cubic.set(a); |
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65 return cubic.subDivide(t1, t2); |
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66 } |
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67 |
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68 void subDivide(const SkDPoint& a, const SkDPoint& d, double t1, double t2, SkDPoint p[2]) const; |
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69 |
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70 static void SubDivide(const SkPoint pts[4], const SkDPoint& a, const SkDPoint& d, double t1, |
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71 double t2, SkDPoint p[2]) { |
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72 SkDCubic cubic; |
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73 cubic.set(pts); |
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74 cubic.subDivide(a, d, t1, t2, p); |
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75 } |
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76 |
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77 SkDPoint top(double startT, double endT) const; |
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78 void toQuadraticTs(double precision, SkTArray<double, true>* ts) const; |
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79 SkDQuad toQuad() const; |
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80 |
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81 #ifdef SK_DEBUG |
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82 void dump(); |
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83 #endif |
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84 }; |
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85 |
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86 #endif |