| #include "DataTypes.h" |
| |
| class Intersections; |
| |
| // unit-testable utilities |
| 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(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]); |
| 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& ); |
| bool intersect(const Quadratic& quad, const _Line& line, Intersections& ); |