2 * Copyright 2012 Google Inc.
4 * Use of this source code is governed by a BSD-style license that can be
5 * found in the LICENSE file.
7 #if !defined CUBIC_UTILITIES_H
8 #define CUBIC_UTILITIES_H
10 #include "DataTypes.h"
11 #include "SkTDArray.h"
13 double calcPrecision(const Cubic& cubic);
15 double calcPrecision(const Cubic& cubic, double t, double scale);
17 void chop_at(const Cubic& src, CubicPair& dst, double t);
18 bool clockwise(const Cubic& c);
19 double cube_root(double x);
20 int cubic_to_quadratics(const Cubic& cubic, double precision,
21 SkTDArray<Quadratic>& quadratics);
22 void cubic_to_quadratics(const Cubic& cubic, double precision, SkTDArray<double>& ts);
23 void coefficients(const double* cubic, double& A, double& B, double& C, double& D);
24 bool controls_contained_by_ends(const Cubic& c);
25 int cubicRootsValidT(double A, double B, double C, double D, double t[3]);
26 int cubicRootsReal(double A, double B, double C, double D, double s[3]);
27 void demote_cubic_to_quad(const Cubic& cubic, Quadratic& quad);
28 double dx_at_t(const Cubic& , double t);
29 double dy_at_t(const Cubic& , double t);
30 //void dxdy_at_t(const Cubic& , double t, _Point& y);
31 _Vector dxdy_at_t(const Cubic& cubic, double t);
32 bool ends_are_extrema_in_x_or_y(const Cubic& );
33 int find_cubic_inflections(const Cubic& src, double tValues[]);
34 int find_cubic_max_curvature(const Cubic& src, double tValues[]);
35 bool monotonic_in_y(const Cubic& c);
36 bool rotate(const Cubic& cubic, int zero, int index, Cubic& rotPath);
37 bool serpentine(const Cubic& c);
38 void sub_divide(const Cubic& src, double t1, double t2, Cubic& dst);
39 void sub_divide(const Cubic& , const _Point& a, const _Point& d, double t1, double t2, _Point [2]);
40 _Point top(const Cubic& , double startT, double endT);
41 void xy_at_t(const Cubic& , double t, double& x, double& y);
42 _Point xy_at_t(const Cubic& , double t);
44 extern const int gPrecisionUnit;