/* * Copyright 2012 Google Inc. * * Use of this source code is governed by a BSD-style license that can be * found in the LICENSE file. */ #ifndef CurveIntersection_DEFINE #define CurveIntersection_DEFINE #include "DataTypes.h" class Intersections; // unit-testable utilities double axialIntersect(const Quadratic& q1, const _Point& p, bool vert); bool bezier_clip(const Cubic& cubic1, const Cubic& cubic2, double& minT, double& maxT); bool bezier_clip(const Quadratic& q1, const Quadratic& q2, double& minT, double& maxT); void chop_at(const Cubic& src, CubicPair& dst, double t); void chop_at(const Quadratic& src, QuadraticPair& dst, double t); int convex_hull(const Cubic& cubic, char order[4]); bool convex_x_hull(const Cubic& cubic, char connectTo0[2], char connectTo3[2]); bool implicit_matches(const Cubic& cubic1, const Cubic& cubic2); bool implicit_matches(const _Line& line1, const _Line& line2); bool implicit_matches_ulps(const _Line& one, const _Line& two, int ulps); bool implicit_matches(const Quadratic& quad1, const Quadratic& quad2); void sub_divide(const Cubic& src, double t1, double t2, Cubic& dst); void sub_divide(const _Line& src, double t1, double t2, _Line& dst); void sub_divide(const Quadratic& src, double t1, double t2, Quadratic& dst); void tangent(const Cubic& cubic, double t, _Point& result); void tangent(const _Line& line, _Point& result); void tangent(const Quadratic& quad, double t, _Point& result); // main functions enum ReduceOrder_Flags { kReduceOrder_NoQuadraticsAllowed, kReduceOrder_QuadraticsAllowed }; int reduceOrder(const Cubic& cubic, Cubic& reduction, ReduceOrder_Flags ); int reduceOrder(const _Line& line, _Line& reduction); int reduceOrder(const Quadratic& quad, Quadratic& reduction); int horizontalIntersect(const Cubic& cubic, double y, double tRange[3]); int horizontalIntersect(const Cubic& cubic, double left, double right, double y, double tRange[3]); int horizontalIntersect(const Cubic& cubic, double left, double right, double y, bool flipped, Intersections&); int horizontalIntersect(const _Line& line, double left, double right, double y, bool flipped, Intersections& ); int horizontalIntersect(const Quadratic& quad, double left, double right, double y, double tRange[2]); int horizontalIntersect(const Quadratic& quad, double left, double right, double y, bool flipped, Intersections& ); bool intersect(const Cubic& cubic1, const Cubic& cubic2, Intersections& ); int intersect(const Cubic& cubic, const _Line& line, double cRange[3], double lRange[3]); bool intersect(const Quadratic& q1, const Quadratic& q2, Intersections& ); int intersect(const Quadratic& quad, const _Line& line, Intersections& ); bool isLinear(const Quadratic& quad, int startIndex, int endIndex); bool isLinear(const Cubic& cubic, int startIndex, int endIndex); double leftMostT(const Cubic& , double startT, double endT); double leftMostT(const _Line& , double startT, double endT); double leftMostT(const Quadratic& , double startT, double endT); int verticalIntersect(const Cubic& cubic, double top, double bottom, double x, bool flipped, Intersections& ); int verticalIntersect(const _Line& line, double top, double bottom, double x, bool flipped, Intersections& ); int verticalIntersect(const Quadratic& quad, double top, double bottom, double x, bool flipped, Intersections& ); #endif