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| 1 /* | |
| 2 * Copyright 2012 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 #ifndef CurveIntersection_DEFINE | |
| 8 #define CurveIntersection_DEFINE | |
| 9 | |
| 10 #include "DataTypes.h" | |
| 11 | |
| 12 class Intersections; | |
| 13 | |
| 14 // unit-testable utilities | |
| 15 double axialIntersect(const Quadratic& q1, const _Point& p, bool vert); | |
| 16 bool bezier_clip(const Cubic& cubic1, const Cubic& cubic2, double& minT, double&
maxT); | |
| 17 bool bezier_clip(const Quadratic& q1, const Quadratic& q2, double& minT, double&
maxT); | |
| 18 int convex_hull(const Cubic& cubic, char order[4]); | |
| 19 bool convex_x_hull(const Cubic& cubic, char connectTo0[2], char connectTo3[2]); | |
| 20 bool implicit_matches(const Cubic& cubic1, const Cubic& cubic2); | |
| 21 bool implicit_matches(const _Line& line1, const _Line& line2); | |
| 22 bool implicit_matches_ulps(const _Line& one, const _Line& two, int ulps); | |
| 23 bool implicit_matches(const Quadratic& quad1, const Quadratic& quad2); | |
| 24 void tangent(const Cubic& cubic, double t, _Point& result); | |
| 25 void tangent(const _Line& line, _Point& result); | |
| 26 void tangent(const Quadratic& quad, double t, _Point& result); | |
| 27 | |
| 28 // main functions | |
| 29 enum ReduceOrder_Quadratics { | |
| 30 kReduceOrder_NoQuadraticsAllowed, | |
| 31 kReduceOrder_QuadraticsAllowed | |
| 32 }; | |
| 33 enum ReduceOrder_Styles { | |
| 34 kReduceOrder_TreatAsStroke, | |
| 35 kReduceOrder_TreatAsFill | |
| 36 }; | |
| 37 int reduceOrder(const Cubic& cubic, Cubic& reduction, ReduceOrder_Quadratics , | |
| 38 ReduceOrder_Styles ); | |
| 39 int reduceOrder(const _Line& line, _Line& reduction); | |
| 40 int reduceOrder(const Quadratic& quad, Quadratic& reduction, ReduceOrder_Styles
); | |
| 41 int horizontalIntersect(const Cubic& cubic, double y, double tRange[3]); | |
| 42 int horizontalIntersect(const Cubic& cubic, double left, double right, double y, | |
| 43 double tRange[3]); | |
| 44 int horizontalIntersect(const Cubic& cubic, double left, double right, double y, | |
| 45 bool flipped, Intersections&); | |
| 46 int horizontalIntersect(const _Line& line, double left, double right, | |
| 47 double y, bool flipped, Intersections& ); | |
| 48 int horizontalIntersect(const Quadratic& quad, double left, double right, | |
| 49 double y, double tRange[2]); | |
| 50 int horizontalIntersect(const Quadratic& quad, double left, double right, | |
| 51 double y, bool flipped, Intersections& ); | |
| 52 bool intersect(const Cubic& cubic1, const Cubic& cubic2, Intersections& ); | |
| 53 // the following flavor uses quadratic approximation instead of convex hulls | |
| 54 //bool intersect2(const Cubic& cubic1, const Cubic& cubic2, Intersections& ); | |
| 55 // like '2', but iterates on centers instead of possible edges | |
| 56 bool intersect3(const Cubic& cubic1, const Cubic& cubic2, Intersections& ); | |
| 57 int intersect(const Cubic& cubic, Intersections& i); // return true if cubic sel
f-intersects | |
| 58 int intersect(const Cubic& cubic, const Quadratic& quad, Intersections& ); | |
| 59 int intersect(const Cubic& cubic, const _Line& line, Intersections& ); | |
| 60 int intersectRay(const Cubic& quad, const _Line& line, Intersections& i); | |
| 61 bool intersect(const Quadratic& q1, const Quadratic& q2, Intersections& ); | |
| 62 int intersect(const Quadratic& quad, const _Line& line, Intersections& ); | |
| 63 // the following flavor uses the implicit form instead of convex hulls | |
| 64 bool intersect2(const Quadratic& q1, const Quadratic& q2, Intersections& i); | |
| 65 int intersectRay(const Quadratic& quad, const _Line& line, Intersections& i); | |
| 66 | |
| 67 | |
| 68 bool isLinear(const Quadratic& quad, int startIndex, int endIndex); | |
| 69 bool isLinear(const Cubic& cubic, int startIndex, int endIndex); | |
| 70 double leftMostT(const Cubic& , double startT, double endT); | |
| 71 double leftMostT(const _Line& , double startT, double endT); | |
| 72 double leftMostT(const Quadratic& , double startT, double endT); | |
| 73 int verticalIntersect(const Cubic& cubic, double top, double bottom, double x, | |
| 74 bool flipped, Intersections& ); | |
| 75 int verticalIntersect(const _Line& line, double top, double bottom, double x, | |
| 76 bool flipped, Intersections& ); | |
| 77 int verticalIntersect(const Quadratic& quad, double top, double bottom, | |
| 78 double x, bool flipped, Intersections& ); | |
| 79 | |
| 80 #endif | |
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