gecko-dev/gfx/layers/AxisPhysicsMSDModel.cpp

/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
/* vim: set ts=8 sts=2 et sw=2 tw=80: */
/* This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */

#include "AxisPhysicsMSDModel.h"
#include <math.h>  // for sqrt and fabs

namespace mozilla {
namespace layers {

/**
 * Constructs an AxisPhysicsMSDModel with initial values for state.
 *
 * @param aInitialPosition sets the initial position of the simulated spring,
 *        in AppUnits.
 * @param aInitialDestination sets the resting position of the simulated spring,
 *        in AppUnits.
 * @param aInitialVelocity sets the initial velocity of the simulated spring,
 *        in AppUnits / second.  Critically-damped and over-damped systems are
 *        guaranteed not to overshoot aInitialDestination if this is set to 0;
 *        however, it is possible to overshoot and oscillate if not set to 0 or
 *        the system is under-damped.
 * @param aSpringConstant sets the strength of the simulated spring.  Greater
 *        values of mSpringConstant result in a stiffer / stronger spring.
 * @param aDampingRatio controls the amount of dampening force and determines
 *        if the system is under-damped, critically-damped, or over-damped.
 */
AxisPhysicsMSDModel::AxisPhysicsMSDModel(double aInitialPosition,
                                         double aInitialDestination,
                                         double aInitialVelocity,
                                         double aSpringConstant,
                                         double aDampingRatio)
    : AxisPhysicsModel(aInitialPosition, aInitialVelocity),
      mDestination(aInitialDestination),
      mSpringConstant(aSpringConstant),
      mSpringConstantSqrtXTwo(sqrt(mSpringConstant) * 2.0),
      mDampingRatio(aDampingRatio) {}

AxisPhysicsMSDModel::~AxisPhysicsMSDModel() {}

double AxisPhysicsMSDModel::Acceleration(const State& aState) {
  // Simulate a Mass-Damper-Spring Model; assume a unit mass

  // Hooke’s Law: http://en.wikipedia.org/wiki/Hooke%27s_law
  double spring_force = (mDestination - aState.p) * mSpringConstant;
  double damp_force = -aState.v * mDampingRatio * mSpringConstantSqrtXTwo;

  return spring_force + damp_force;
}

double AxisPhysicsMSDModel::GetDestination() const { return mDestination; }

void AxisPhysicsMSDModel::SetDestination(double aDestination) {
  mDestination = aDestination;
}

bool AxisPhysicsMSDModel::IsFinished(double aSmallestVisibleIncrement) {
  // In order to satisfy the condition of reaching the destination, the distance
  // between the simulation position and the destination must be less than
  // aSmallestVisibleIncrement while the speed is simultaneously less than
  // finishVelocity.  This enables an under-damped system to overshoot the
  // destination when desired without prematurely triggering the finished state.
  // If finishVelocity is set too low, the animation may end long after
  // oscillation has finished, resulting in unnecessary processing.
  // If set too high, the animation may prematurely terminate when expected
  // to overshoot the destination in an under-damped system.
  // aSmallestVisibleIncrement * 2 was selected through experimentation that
  // revealed that a critically damped system will terminate within 100ms.
  const double finishVelocity = aSmallestVisibleIncrement * 2;

  return fabs(mDestination - GetPosition()) < aSmallestVisibleIncrement &&
         fabs(GetVelocity()) <= finishVelocity;
}

}  // namespace layers
}  // namespace mozilla