JPolynome3D.cc

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

#include "TRandom3.h"

#include "JTools/JMapList.hh"
#include "JTools/JFunction1D_t.hh"
#include "JTools/JFunctionalMap_t.hh"
#include "JTools/JMultiFunction.hh"
#include "JTools/JQuantile.hh"

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


/**
 * 3D function.
 */
inline double f3(const double x, const double y, const double z)
{
  static const double a = 1.0;
  static const double b = 1.0;
  static const double c = 1.0;

  return 
    x * (a + x * (b + c*x))  *  
    y * (a + y * (b + c*y))  *
    z * (a + z * (b + c*z));
}


/**
 * \file
 *
 * Example program to test multi-dimensional interpolation.
 * \author mdejong
 */
int main(int argc, char **argv)
{
  using namespace std;
  using namespace JPP;

  int         numberOfEvents;
  int         numberOfBins;
  double      precision;
  int         debug;

  try {

    JParser<> zap("Example program to test multi-dimensional interpolation.");

    zap['n'] = make_field(numberOfEvents)   = 1000;
    zap['N'] = make_field(numberOfBins)     = 11;
    zap['e'] = make_field(precision)        = 1.0e-14;
    zap['d'] = make_field(debug)            = 3;

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


  const double xmin = -1.0;
  const double xmax = +1.0;
  const double dx   = (xmax - xmin) / (numberOfBins - 1);


  typedef JGridPolint3Function1D_t                          JFunction1D_t;

  typedef JMAPLIST<JPolint3FunctionalGridMap,
                   JPolint3FunctionalGridMap>::maplist      JMaplist_t;

  typedef JMultiFunction<JFunction1D_t, JMaplist_t>         JMultiFunction_t;

    
  JMultiFunction_t g3;


  for (double x = xmin; x < xmax + 0.5*dx; x += dx) {
    for (double y = xmin; y < xmax + 0.5*dx; y += dx) {
      for (double z = xmin; z < xmax + 0.5*dx; z += dx) {
        g3[x][y][z] = f3(x,y,z);
      }
    }
  }
    
    
  g3.compile();
  g3.setExceptionHandler(new JFunction1D_t::JDefaultResult(JMATH::zero));


  if (numberOfEvents > 0) {

    JTimer timer;

    JQuantile Q;
    
    for (int i = 0; i != numberOfEvents; ++i) {
      
      const double x  = gRandom->Uniform(xmin, xmax);
      const double y  = gRandom->Uniform(xmin, xmax);
      const double z  = gRandom->Uniform(xmin, xmax);
      
      const double v  = f3(x,y,z);

      timer.start();

      const double w  = g3(x,y,z);

      timer.stop();

      Q.put(v - w);
    }

    if (debug >= debug_t) {

      Q.print(cout);

      timer.print(cout, 1.0 / numberOfEvents, micro_t);
    }

    ASSERT(Q.getMean()  <= precision);
    ASSERT(Q.getSTDev() <= precision);

  } else {

    for ( ; ; ) {
      
      cout << "> " << flush;
      
      string buffer;
      
      if (getline(cin, buffer) && !buffer.empty()) {
        
        double x, y, z;
        
        istringstream(buffer) >> x >> y >> z;

        try {
          cout << f3(x,y,z) << ' ' << g3(x,y,z) << endl;
        }
        catch(const JException& exception) {
          cout << exception << endl;
        }

      } else {
        break;
      }
    }
  }

  return 0;
}