| #include "DataTypes.h" |
| |
| double cube_root(double x); |
| void coefficients(const double* cubic, double& A, double& B, double& C, double& D); |
| int cubicRoots(double A, double B, double C, double D, double t[3]); |
| double derivativeAtT(const double* cubic, double t); |
| // competing version that should produce same results |
| double derivativeAtT_2(const double* cubic, double t); |
| void dxdy_at_t(const Cubic& , double t, double& x, double& y); |
| bool rotate(const Cubic& cubic, int zero, int index, Cubic& rotPath); |
| double secondDerivativeAtT(const double* cubic, double t); |
| void xy_at_t(const Cubic& , double t, double& x, double& y); |