/***************************************************************************************** * * * OpenSpace * * * * Copyright (c) 2014-2019 * * * * Permission is hereby granted, free of charge, to any person obtaining a copy of this * * software and associated documentation files (the "Software"), to deal in the Software * * without restriction, including without limitation the rights to use, copy, modify, * * merge, publish, distribute, sublicense, and/or sell copies of the Software, and to * * permit persons to whom the Software is furnished to do so, subject to the following * * conditions: * * * * The above copyright notice and this permission notice shall be included in all copies * * or substantial portions of the Software. * * * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, * * INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A * * PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT * * HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF * * CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE * * OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. * ****************************************************************************************/ #include #include #include namespace { constexpr const char* _loggerCat = "SpeedFunction"; } // namespace namespace openspace::autonavigation { SpeedFunction::~SpeedFunction() {} /* * Get speed at time value in the range [0, duration], scaled according to the constraint * in eq. 14 in Eberly 2007 * (https://www.geometrictools.com/Documentation/MovingAlongCurveSpecifiedSpeed.pdf) * OBS! If integrated over the duration for the path it shall match the total length. */ double SpeedFunction::scaledValue(double time, double duration, double pathLength) const { ghoul_assert(time >= 0 && time <= duration, "Time out of range [0, duration]"); double t = std::clamp(time / duration, 0.0, 1.0); return (pathLength * this->value(t)) / (duration * _integratedSum); } void SpeedFunction::initIntegratedSum() { // apply duration constraint (eq. 14 in Eberly) double speedSum = 0.0; int steps = 100; double h = 1.0 / steps; for (double t = 0.0; t <= 1.0; t += h) { double midpointSpeed = 0.5 * (value(t + 0.5*h) + value(t - 0.5*h)); speedSum += h * midpointSpeed; } _integratedSum = speedSum; } CubicDampenedSpeed::CubicDampenedSpeed() { initIntegratedSum(); } double CubicDampenedSpeed::value(double t) const { ghoul_assert(t >= 0.0 && t <= 1.0, "Variable t out of range [0,1]"); const double tPeak = 0.5; double speed = 1.0; // accelerate if (t <= tPeak) { double tScaled = t / tPeak; speed = ghoul::cubicEaseInOut(tScaled); } // deaccelerate else if (t < 1.0) { double tScaled = (t - tPeak) / (1.0 - tPeak); speed = 1.0 - ghoul::cubicEaseInOut(tScaled); } // avoid zero speed speed += 0.001; return speed; } } // namespace openspace::autonavigation