.. _program_listing_file_SPlisHSPlasH_Utilities_MathFunctions.h:

Program Listing for File MathFunctions.h
========================================

|exhale_lsh| :ref:`Return to documentation for file <file_SPlisHSPlasH_Utilities_MathFunctions.h>` (``SPlisHSPlasH/Utilities/MathFunctions.h``)

.. |exhale_lsh| unicode:: U+021B0 .. UPWARDS ARROW WITH TIP LEFTWARDS

.. code-block:: cpp

   #ifndef MATH_FUNCTIONS_H
   #define MATH_FUNCTIONS_H
   
   #include "SPlisHSPlasH/Common.h"
   
   // ------------------------------------------------------------------------------------
   namespace SPH
   {
       class MathFunctions
       {
       public:
           static void extractRotation(const Matrix3r &A, Quaternionr &q, const unsigned int maxIter);
   
           static void pseudoInverse(const Matrix3r &a, Matrix3r &res);
           static void svdWithInversionHandling(const Matrix3r &A, Vector3r &sigma, Matrix3r &U, Matrix3r &VT);
           static void eigenDecomposition(const Matrix3r &A, Matrix3r &eigenVecs, Vector3r &eigenVals);
           static void jacobiRotate(Matrix3r &A, Matrix3r &R, int p, int q);
   
           static void getOrthogonalVectors(const Vector3r &vec, Vector3r &x, Vector3r &y);
   
           static void APD_Newton(const Matrix3r& F, Quaternionr& q);
       };
   }
   
   #endif