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/*
* CurvedElement.cc
*
* Created on: Mar 22, 2011
* Author: jakob
*/
#include <math.h>
#include <sstream>
#include "exceptions.h"
#include "CurvedElement.h"
using namespace std;
namespace vhc {
CurvedElement::CurvedElement(const Vector3D& entry, const Vector3D& exit, double sectionRadius, double curvature, Element* next):
Element(entry, exit, sectionRadius, next),
curvature(curvature),
curvatureCenter(Vector3D::Null) {
double k = curvature;
//pas possible que le rayon de courbure soit plus petit la moitie
//de la distance entre les points d'entree et de sortie
if (fabs(1.0 / k) < (exit - entry).norm() / 2) throw IllegalArgumentException("Invalid curvature radius: too small.");
Vector3D outDirection = (entryPosition - curvatureCenter).cross(exitPosition - curvatureCenter).cross(exitPosition - curvatureCenter);
if ((entryPosition - exitPosition).dot(outDirection) > 0) throw IllegalArgumentException("A curved element cannot be more than half a turn.");
Vector3D midpoint = (getEntryPosition() + getExitPosition())/ 2;
curvatureCenter = midpoint + 1 / k * sqrt(1.0 - (k * k) / 4 * getDiagonal().normSquare()) * (getDiagonal().unit().cross(Vector3D::k));
}
CurvedElement::~CurvedElement() {};
double CurvedElement::getCurvature() const {return curvature;}
Vector3D CurvedElement::getCurvatureCenter() const {return curvatureCenter;}
double CurvedElement::getAngle() const {
return acos((entryPosition - curvatureCenter).unit().dot((exitPosition - curvatureCenter).unit()));
}
bool CurvedElement::isBefore(const Vector3D& position) const {
Vector3D out = (exitPosition - curvatureCenter).cross(entryPosition - curvatureCenter).cross(entryPosition - curvatureCenter);
return (position - entryPosition).dot(out) > 0;
}
bool CurvedElement::isBeside(const Vector3D& position) const {
Vector3D X(position - curvatureCenter);
Vector3D u = (X - position.getZ() * Vector3D::k).unit();
return (X - fabs(1.0 / curvature) * u).norm() > sectionRadius;
}
bool CurvedElement::isAfter(const Vector3D& position) const {
Vector3D out = (entryPosition - curvatureCenter).cross(exitPosition - curvatureCenter).cross(exitPosition - curvatureCenter);
return (position - exitPosition).dot(out) > 0;
}
double CurvedElement::getLength() const {
return getAngle() / getCurvature();
}
Vector3D CurvedElement::getHorizontalAt(const Vector3D& position) const {
Vector3D X(position - curvatureCenter);
return (X - position.getZ() * Vector3D::k).unit();
}
std::string CurvedElement::getType() const {return "Curved Element";}
std::string CurvedElement::toString() const {
std::stringstream s;
s << Element::toString() << " "
<< "k = " << getCurvature() << " ; "
<< "Cc = " << getCurvatureCenter();
return s.str();
}
} //vhc
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