#include <string>
#include <iostream>
#include <iomanip>

#include "TRandom3.h"

#include "JMath/JMath.hh"
#include "JMath/JSVD3D.hh"
#include "JMath/JMathTestkit.hh"

#include "Jeep/JParser.hh"
#include "Jeep/JMessage.hh"


int main(int argc, char**argv)
{
  using namespace std;
  using namespace JPP;

  double precision;
  int    debug;

  try {

    JParser<> zap;

    zap['e'] = make_field(precision)      = 1.0e-3;
    zap['d'] = make_field(debug)          = 3;

    zap(argc, argv);
  }
  catch(const exception &error) {
    FATAL(error.what() << endl);
  }


  gRandom->SetSeed(0);


  JMatrix3D A = getRandom<JMatrix3D>();

  JSVD3D svd;

  svd.decompose(A);

  DEBUG("A" << endl << A     << endl);
  DEBUG("U" << endl << svd.U << endl);
  DEBUG("S" << endl << svd.S << endl);
  DEBUG("V" << endl << svd.V << endl);

  JMatrix3D C = svd.invert();

  C *= A;

  DEBUG("C" << endl << C << endl);

  ASSERT(C.isIdentity(precision));

  return 0;
}