interp_motion-inl.h

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#ifndef FCL_CCD_INTERPMOTION_INL_H
#define FCL_CCD_INTERPMOTION_INL_H

#include "fcl/math/motion/interp_motion.h"

namespace fcl
{

//==============================================================================
extern template
class InterpMotion<double>;

//==============================================================================
template <typename S>
InterpMotion<S>::InterpMotion()
  : MotionBase<S>(), angular_axis(Vector3<S>::UnitX())
{
  // Default angular velocity is zero
  angular_vel = 0;

  // Default reference point is local zero point

  // Default linear velocity is zero
}

//==============================================================================
template <typename S>
InterpMotion<S>::InterpMotion(
    const Matrix3<S>& R1, const Vector3<S>& T1,
    const Matrix3<S>& R2, const Vector3<S>& T2)
  : MotionBase<S>(),
    tf1(Transform3<S>::Identity()),
    tf2(Transform3<S>::Identity())
{
  tf1.linear() = R1;
  tf1.translation() = T1;

  tf2.linear() = R2;
  tf2.translation() = T2;

  tf = tf1;

  // Compute the velocities for the motion
  computeVelocity();
}

//==============================================================================
template <typename S>
InterpMotion<S>::InterpMotion(
    const Transform3<S>& tf1_, const Transform3<S>& tf2_)
  : MotionBase<S>(), tf1(tf1_), tf2(tf2_), tf(tf1)
{
  // Compute the velocities for the motion
  computeVelocity();
}

//==============================================================================
template <typename S>
InterpMotion<S>::InterpMotion(
    const Matrix3<S>& R1,
    const Vector3<S>& T1,
    const Matrix3<S>& R2,
    const Vector3<S>& T2,
    const Vector3<S>& O)
  : MotionBase<S>(),
    tf1(Transform3<S>::Identity()),
    tf2(Transform3<S>::Identity()),
    reference_p(O)
{
  tf1.linear() = R1;
  tf1.translation() = T1;

  tf2.linear() = R2;
  tf2.translation() = T2;

  tf = tf1;

  // Compute the velocities for the motion
  computeVelocity();
}

//==============================================================================
template <typename S>
InterpMotion<S>::InterpMotion(
    const Transform3<S>& tf1_, const Transform3<S>& tf2_, const Vector3<S>& O)
  : MotionBase<S>(), tf1(tf1_), tf2(tf2_), tf(tf1), reference_p(O)
{
  // Do nothing
}

//==============================================================================
template <typename S>
bool InterpMotion<S>::integrate(double dt) const
{
  if(dt > 1) dt = 1;

  tf.linear() = absoluteRotation(dt).toRotationMatrix();
  tf.translation() = linear_vel * dt + tf1 * reference_p - tf.linear() * reference_p;

  return true;
}

//==============================================================================
template <typename S>
S InterpMotion<S>::computeMotionBound(const BVMotionBoundVisitor<S>& mb_visitor) const
{
  return mb_visitor.visit(*this);
}

//==============================================================================
template <typename S>
S InterpMotion<S>::computeMotionBound(const TriangleMotionBoundVisitor<S>& mb_visitor) const
{
  return mb_visitor.visit(*this);
}

//==============================================================================
template <typename S>
void InterpMotion<S>::getCurrentTransform(Transform3<S>& tf_) const
{
  tf_ = tf;
}

//==============================================================================
template <typename S>
void InterpMotion<S>::getTaylorModel(TMatrix3<S>& tm, TVector3<S>& tv) const
{
  Matrix3<S> hat_angular_axis;
  hat(hat_angular_axis, angular_axis);

  TaylorModel<S> cos_model(this->getTimeInterval());
  generateTaylorModelForCosFunc(cos_model, angular_vel, (S)0);
  TaylorModel<S> sin_model(this->getTimeInterval());
  generateTaylorModelForSinFunc(sin_model, angular_vel, (S)0);

  TMatrix3<S> delta_R = hat_angular_axis * sin_model
      - (hat_angular_axis * hat_angular_axis).eval() * (cos_model - 1)
      + Matrix3<S>::Identity();

  TaylorModel<S> a(this->getTimeInterval()), b(this->getTimeInterval()), c(this->getTimeInterval());
  generateTaylorModelForLinearFunc(a, (S)0, linear_vel[0]);
  generateTaylorModelForLinearFunc(b, (S)0, linear_vel[1]);
  generateTaylorModelForLinearFunc(c, (S)0, linear_vel[2]);
  TVector3<S> delta_T(a, b, c);

  tm = delta_R * tf1.linear().eval();
  tv = tf1 * reference_p
      + delta_T
      - delta_R * (tf1.linear() * reference_p).eval();
}

//==============================================================================
template <typename S>
void InterpMotion<S>::computeVelocity()
{
  linear_vel = tf2 * reference_p - tf1 * reference_p;

  const AngleAxis<S> aa(tf2.linear() * tf1.linear().transpose());
  angular_axis = aa.axis();
  angular_vel = aa.angle();

  if(angular_vel < 0)
  {
    angular_vel = -angular_vel;
    angular_axis = -angular_axis;
  }
}

//==============================================================================
template <typename S>
Quaternion<S> InterpMotion<S>::deltaRotation(S dt) const
{
  return Quaternion<S>(AngleAxis<S>((S)(dt * angular_vel), angular_axis));
}

//==============================================================================
template <typename S>
Quaternion<S> InterpMotion<S>::absoluteRotation(S dt) const
{
  Quaternion<S> delta_t = deltaRotation(dt);
  return delta_t * Quaternion<S>(tf1.linear());
}

//==============================================================================
template <typename S>
const Vector3<S>&InterpMotion<S>::getReferencePoint() const
{
  return reference_p;
}

//==============================================================================
template <typename S>
const Vector3<S>&InterpMotion<S>::getAngularAxis() const
{
  return angular_axis;
}

//==============================================================================
template <typename S>
S InterpMotion<S>::getAngularVelocity() const
{
  return angular_vel;
}

//==============================================================================
template <typename S>
const Vector3<S>&InterpMotion<S>::getLinearVelocity() const
{
  return linear_vel;
}

} // namespace fcl

#endif