2012-08-27 14:11:33 +00:00
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/*
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* Copyright 2012 Google Inc.
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*
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* Use of this source code is governed by a BSD-style license that can be
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* found in the LICENSE file.
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*/
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2012-09-14 14:19:30 +00:00
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#if !defined CUBIC_UTILITIES_H
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#define CUBIC_UTILITIES_H
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2012-07-02 20:27:02 +00:00
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#include "DataTypes.h"
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2012-01-25 18:57:23 +00:00
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double cube_root(double x);
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2012-02-03 22:07:47 +00:00
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void coefficients(const double* cubic, double& A, double& B, double& C, double& D);
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2012-01-25 18:57:23 +00:00
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int cubicRoots(double A, double B, double C, double D, double t[3]);
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2012-07-02 20:27:02 +00:00
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double derivativeAtT(const double* cubic, double t);
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// competing version that should produce same results
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double derivativeAtT_2(const double* cubic, double t);
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void dxdy_at_t(const Cubic& , double t, double& x, double& y);
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bool rotate(const Cubic& cubic, int zero, int index, Cubic& rotPath);
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double secondDerivativeAtT(const double* cubic, double t);
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void xy_at_t(const Cubic& , double t, double& x, double& y);
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2012-09-14 14:19:30 +00:00
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#endif
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