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caryclark@google.com639df892012-01-10 21:46:10 +00001#include "DataTypes.h"
2
3class Intersections;
4
5// unit-testable utilities
6bool bezier_clip(const Cubic& cubic1, const Cubic& cubic2, double& minT, double& maxT);
7bool bezier_clip(const Quadratic& q1, const Quadratic& q2, double& minT, double& maxT);
8void chop_at(const Cubic& src, CubicPair& dst, double t);
9void chop_at(const Quadratic& src, QuadraticPair& dst, double t);
10int convex_hull(const Cubic& cubic, char order[4]);
11bool convex_x_hull(const Cubic& cubic, char connectTo0[2], char connectTo3[2]);
12double cube_root(double x);
13int cubic_roots(const double coeff[4], double tValues[3]);
14bool implicit_matches(const Cubic& cubic1, const Cubic& cubic2);
15bool implicit_matches(const Quadratic& quad1, const Quadratic& quad2);
16int quadratic_roots(const double coeff[3], double tValues[2]);
17void sub_divide(const Cubic& src, double t1, double t2, Cubic& dst);
18void sub_divide(const Quadratic& src, double t1, double t2, Quadratic& dst);
19void tangent(const Cubic& cubic, double t, _Point& result);
20void tangent(const Quadratic& cubic, double t, _Point& result);
21
22// main functions
23enum ReduceOrder_Flags {
24 kReduceOrder_NoQuadraticsAllowed,
25 kReduceOrder_QuadraticsAllowed
26};
27int reduceOrder(const Cubic& cubic, Cubic& reduction, ReduceOrder_Flags );
28int reduceOrder(const Quadratic& quad, Quadratic& reduction);
29bool intersectStart(const Cubic& cubic1, const Cubic& cubic2, Intersections& );
30bool intersectStartT(const Cubic& cubic1, const Cubic& cubic2, Intersections& );
31bool intersectStart(const Quadratic& q1, const Quadratic& q2, Intersections& );