blob: 94255ee46c3b12d0a98cb5521db20ccf712d568a [file] [log] [blame]
caryclark@google.com8dcf1142012-07-02 20:27:02 +00001#include "DataTypes.h"
2
caryclark@google.com27accef2012-01-25 18:57:23 +00003double cube_root(double x);
caryclark@google.comc6825902012-02-03 22:07:47 +00004void coefficients(const double* cubic, double& A, double& B, double& C, double& D);
caryclark@google.com27accef2012-01-25 18:57:23 +00005int cubicRoots(double A, double B, double C, double D, double t[3]);
caryclark@google.com8dcf1142012-07-02 20:27:02 +00006double derivativeAtT(const double* cubic, double t);
7// competing version that should produce same results
8double derivativeAtT_2(const double* cubic, double t);
9void dxdy_at_t(const Cubic& , double t, double& x, double& y);
10bool rotate(const Cubic& cubic, int zero, int index, Cubic& rotPath);
11double secondDerivativeAtT(const double* cubic, double t);
12void xy_at_t(const Cubic& , double t, double& x, double& y);