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 #if 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, 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); 43 44 extern const int gPrecisionUnit; 45 46 #endif 47
