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#include "DataFormats/GeometrySurface/interface/Cylinder.h"
#include "DataFormats/GeometrySurface/interface/TangentPlane.h"
#include "DataFormats/GeometrySurface/interface/GeomExceptions.h"

#include <cfloat>

Surface::Side Cylinder::side(const LocalPoint& p, Scalar toler) const {
  Scalar lz = p.perp() - radius();
  return (fabs(lz) < toler ? SurfaceOrientation::onSurface
                           : (lz > 0 ? SurfaceOrientation::positiveSide : SurfaceOrientation::negativeSide));
}

ConstReferenceCountingPointer<TangentPlane> Cylinder::tangentPlane(const LocalPoint& aPoint) const {
  return tangentPlane(toGlobal(aPoint));
}

ConstReferenceCountingPointer<TangentPlane> Cylinder::tangentPlane(const GlobalPoint& aPoint) const {
  //
  // Tangent plane at specified point. In order to avoid
  // possible numerical problems currently no attempt is made
  // to verify, if the point is actually on the cylinder.
  //
  // local y parallel to axis
  GlobalVector yPlane(rotation().z());
  // local x normal to y and a vector linking the specified
  // point with the axis
  GlobalVector xPlane(yPlane.cross(aPoint - position()));
  Scalar size = std::max(std::max(std::abs(xPlane.x()), std::abs(xPlane.y())), std::abs(xPlane.z()));
  if (size < FLT_MIN)
    throw GeometryError("Attempt to construct TangentPlane on cylinder axis");
  //   // local z defined by x and y (should point outwards from axis)
  //   GlobalVector zPlane(xPlane.cross(yPlane));
  // rotation constructor will normalize...
  return ConstReferenceCountingPointer<TangentPlane>(new TangentPlane(aPoint, RotationType(xPlane, yPlane)));
}