CubicUtilities.h revision 9d5f99bc309a7d733e33a149bef295ae3c8b3ac1 
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
13double calcPrecision(const Cubic& cubic);
14#if SK_DEBUG
15double calcPrecision(const Cubic& cubic, double t, double scale);
16#endif
17void chop_at(const Cubic& src, CubicPair& dst, double t);
18double cube_root(double x);
19int cubic_to_quadratics(const Cubic& cubic, double precision,
20        SkTDArray<Quadratic>& quadratics);
21void cubic_to_quadratics(const Cubic& cubic, double precision, SkTDArray<double>& ts);
22void coefficients(const double* cubic, double& A, double& B, double& C, double& D);
23int cubicRoots(double A, double B, double C, double D, double t[3]);
24int cubicRootsX(double A, double B, double C, double D, double s[3]);
25void demote_cubic_to_quad(const Cubic& cubic, Quadratic& quad);
26double dx_at_t(const Cubic& , double t);
27double dy_at_t(const Cubic& , double t);
28void dxdy_at_t(const Cubic& , double t, _Point& y);
29int find_cubic_inflections(const Cubic& src, double tValues[]);
30bool rotate(const Cubic& cubic, int zero, int index, Cubic& rotPath);
31void sub_divide(const Cubic& src, double t1, double t2, Cubic& dst);
32void xy_at_t(const Cubic& , double t, double& x, double& y);
33
34extern const int precisionUnit;
35#endif
36