geometry/shape/halfspace-inl.h

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#ifndef FCL_SHAPE_HALFSPACE_INL_H
#define FCL_SHAPE_HALFSPACE_INL_H

#include <iomanip>
#include <sstream>

#include "fcl/geometry/shape/halfspace.h"
#include "fcl/geometry/shape/representation.h"

namespace fcl
{

//==============================================================================
extern template
class FCL_EXPORT Halfspace<double>;

//==============================================================================
extern template
Halfspace<double> transform(const Halfspace<double>& a, const Transform3<double>& tf);

//==============================================================================
template <typename S>
Halfspace<S>::Halfspace(const Vector3<S>& n, S d)
  : ShapeBase<S>(), n(n), d(d)
{
  unitNormalTest();
}

//==============================================================================
template <typename S>
Halfspace<S>::Halfspace(S a, S b, S c, S d)
  : ShapeBase<S>(), n(a, b, c), d(d)
{
  unitNormalTest();
}

//==============================================================================
template <typename S>
Halfspace<S>::Halfspace() : ShapeBase<S>(), n(1, 0, 0), d(0)
{
  // Do nothing
}

//==============================================================================
template <typename S>
S Halfspace<S>::signedDistance(const Vector3<S>& p) const
{
  return n.dot(p) - d;
}

//==============================================================================
template <typename S>
S Halfspace<S>::distance(const Vector3<S>& p) const
{
  return std::abs(n.dot(p) - d);
}

//==============================================================================
template <typename S>
void Halfspace<S>::computeLocalAABB()
{
  this->aabb_local.min_.setConstant(-std::numeric_limits<S>::max());
  this->aabb_local.max_.setConstant(std::numeric_limits<S>::max());
  if(n[1] == (S)0.0 && n[2] == (S)0.0)
  {
    // normal aligned with x axis
    if(n[0] < 0)
      this->aabb_local.min_[0] = -d;
    else if(n[0] > 0)
      this->aabb_local.max_[0] = d;
  }
  else if(n[0] == (S)0.0 && n[2] == (S)0.0)
  {
    // normal aligned with y axis
    if(n[1] < 0)
      this->aabb_local.min_[1] = -d;
    else if(n[1] > 0)
      this->aabb_local.max_[1] = d;
  }
  else if(n[0] == (S)0.0 && n[1] == (S)0.0)
  {
    // normal aligned with z axis
    if(n[2] < 0)
      this->aabb_local.min_[2] = -d;
    else if(n[2] > 0)
      this->aabb_local.max_[2] = d;
  }

  this->aabb_center = this->aabb_local.center();
  this->aabb_radius = (this->aabb_local.min_ - this->aabb_center).norm();
}

//==============================================================================
template <typename S>
NODE_TYPE Halfspace<S>::getNodeType() const
{
  return GEOM_HALFSPACE;
}

//==============================================================================
template <typename S>
std::string Halfspace<S>::representation(int precision) const {
  const char* S_str = detail::ScalarRepr<S>::value();
  std::stringstream ss;
  ss << std::setprecision(precision);
  ss << "Halfspace<" << S_str << ">(" << n[0] << ", " << n[1] << ", " << n[2]
     << ", " << d << ");";
  return ss.str();
}

//==============================================================================
template <typename S>
void Halfspace<S>::unitNormalTest()
{
  S l = n.norm();
  if(l > 0)
  {
    S inv_l = 1.0 / l;
    n *= inv_l;
    d *= inv_l;
  }
  else
  {
    n << 1, 0, 0;
    d = 0;
  }
}

//==============================================================================
template <typename S>
Halfspace<S> transform(const Halfspace<S>& a, const Transform3<S>& tf)
{

  Vector3<S> n = tf.linear() * a.n;
  S d = a.d + n.dot(tf.translation());

  return Halfspace<S>(n, d);
}

} // namespace fcl

#endif