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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 #if !defined CUBIC_UTILITIES_H | |
8 #define CUBIC_UTILITIES_H | |
9 | |
10 #include "DataTypes.h" | |
11 #include "SkTDArray.h" | |
12 | |
13 double calcPrecision(const Cubic& cubic); | |
14 #ifdef SK_DEBUG | |
15 double calcPrecision(const Cubic& cubic, double t, double scale); | |
16 #endif | |
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, doub
le 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); | |
43 | |
44 extern const int gPrecisionUnit; | |
45 | |
46 #endif | |
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