• Forward raytrace.
  • double Lens::psiXvalue( double x, double y ) const
  • double Lens::psiYvalue( double x, double y ) const
• Inverse raytrace
  • cv::Point2d Lens::getXi( cv::Point2d chieta ) returns the apparent position $\xi$ corresponding to actual position $\chi\eta$ (chieta). This is primarily used to find the reference point for the roulette formalism.
    • Co-ordinates are in the lens plane to be totally independent of the source.
    • See calculation
• Lens potential
  • double Lens::psiValue( double x, double y ) const is used primarily for sampling to create SampledLens models from PsiFunctionLens models.
• Roulette formalism
  • void Lens::calculateAlphaBeta( cv::Point2d xi, int m ) calculates the roulette amplitudes in the given point xi up the given order m
  • double Lens::getAlphaXi( int m, int s )
  • double Lens::getBetaXi( int m, int s )
  • double Lens::getAlpha( cv::Point2d xi, int m, int s )
  • double Lens::getBeta( cv::Point2d xi, int m, int s )
• Debugging and diagnostics
  • std::string Lens::idString() returns a string to identify the lens model. This is intended for use in debugging output
• Caustics and Critical Curves (under construction)
  • double Lens::criticalXi( double phi ) const
  • cv::Point2d Lens::caustic( double phi ) const