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  • src/Plane.cpp

    rd4c9ae r27ac00  
    1414#include "Helpers/Assert.hpp"
    1515#include <cmath>
     16#include "Line.hpp"
     17#include "Exceptions/MultipleSolutionsException.hpp"
    1618
    1719/**
     
    4244/**
    4345 * Constructs a plane from two direction vectors and a offset.
    44  * If no offset is given a plane through origin is assumed
    4546 */
    4647Plane::Plane(const Vector &y1, const Vector &y2, double _offset) throw(ZeroVectorException,LinearDependenceException) :
     
    113114}
    114115
    115 Vector Plane::getOffsetVector() {
     116Vector Plane::getOffsetVector() const {
    116117  return getOffset()*getNormal();
    117118}
    118119
    119 vector<Vector> Plane::getPointsOnPlane(){
     120vector<Vector> Plane::getPointsOnPlane() const{
    120121  std::vector<Vector> res;
    121122  res.reserve(3);
     
    147148 * \return true -  \a this contains intersection point on return, false - line is parallel to plane (even if in-plane)
    148149 */
    149 Vector Plane::GetIntersection(const Vector &Origin, const Vector &LineVector)
     150Vector Plane::GetIntersection(const Line& line) const
    150151{
    151152  Info FunctionInfo(__func__);
    152153  Vector res;
    153154
    154   // find intersection of a line defined by Offset and Direction with a  plane defined by triangle
    155   Vector Direction = LineVector - Origin;
    156   Direction.Normalize();
    157   Log() << Verbose(1) << "INFO: Direction is " << Direction << "." << endl;
    158   //Log() << Verbose(1) << "INFO: PlaneNormal is " << *PlaneNormal << " and PlaneOffset is " << *PlaneOffset << "." << endl;
    159   double factor1 = Direction.ScalarProduct(*normalVector.get());
    160   if (fabs(factor1) < MYEPSILON) { // Uniqueness: line parallel to plane?
    161     Log() << Verbose(1) << "BAD: Line is parallel to plane, no intersection." << endl;
    162     throw LinearDependenceException(__FILE__,__LINE__);
    163   }
    164 
    165   double factor2 = Origin.ScalarProduct(*normalVector.get());
    166   if (fabs(factor2-offset) < MYEPSILON) { // Origin is in-plane
    167     Log() << Verbose(1) << "GOOD: Origin of line is in-plane." << endl;
    168     res = Origin;
    169     return res;
    170   }
    171 
     155  double factor1 = getNormal().ScalarProduct(line.getDirection());
     156  if(fabs(factor1)<MYEPSILON){
     157    // the plane is parallel... under all circumstances this is bad luck
     158    // we no have either no or infinite solutions
     159    if(isContained(line.getOrigin())){
     160      throw MultipleSolutionsException<Vector>(__FILE__,__LINE__,line.getOrigin());
     161    }
     162    else{
     163      throw LinearDependenceException(__FILE__,__LINE__);
     164    }
     165  }
     166
     167  double factor2 = getNormal().ScalarProduct(line.getOrigin());
    172168  double scaleFactor = (offset-factor2)/factor1;
    173169
    174   //factor = Origin->ScalarProduct(PlaneNormal)*(-PlaneOffset->ScalarProduct(PlaneNormal))/(Direction.ScalarProduct(PlaneNormal));
    175   Direction.Scale(scaleFactor);
    176   res = Origin + Direction;
    177   Log() << Verbose(1) << "INFO: Scaled direction is " << Direction << "." << endl;
    178 
    179   // test whether resulting vector really is on plane
    180   ASSERT(fabs(res.ScalarProduct(*normalVector) - offset) < MYEPSILON,
    181          "Calculated line-Plane intersection does not lie on plane.");
     170  res = line.getOrigin() + scaleFactor * line.getDirection();
     171
     172  // tests to make sure the resulting vector really is on plane and line
     173  ASSERT(isContained(res),"Calculated line-Plane intersection does not lie on plane.");
     174  ASSERT(line.isContained(res),"Calculated line-Plane intersection does not lie on line.");
    182175  return res;
    183176};
     177
     178Vector Plane::mirrorVector(const Vector &rhs) const {
     179  Vector helper = getVectorToPoint(rhs);
     180  // substract twice the Vector to the plane
     181  return rhs+2*helper;
     182}
     183
     184Line Plane::getOrthogonalLine(const Vector &origin) const{
     185  return Line(origin,getNormal());
     186}
    184187
    185188/************ Methods inherited from Space ****************/
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