// tsncom13.cc
// Nick Macks (macks@fnal.gov), Summer 2002

// CLHEP: HepMatrix trace calculation

#include "CLHEP/Matrix/Matrix.h"

using namespace std;

// Function declarations
void Identification();
void GetDimension(int&);
void Describe(const int&);
void BuildMatrix(HepMatrix&, const int&);
void Show(const HepMatrix&);
void GetCalcs(int&);
void GetRuns(int&);
void Calculate(HepMatrix&, const int&, const int&);


// Package ID
void Identification()
{
  cout << "Using CLHEP\n";
}

// Ask for the desired dimension
void GetDimension(int& dimension)
{
  cout << "Enter the desired dimension(1-6): ";
  cin >> dimension;

  while ( (dimension < 1) || (dimension > 6) )
  {
    cout << "Enter an integer between 1 and 6: ";
    cin >> dimension;
  }
}

// Describe how the HepMatrix was defined
void Describe(const int& dimension)
{
  cout << "Matrix was defined 'HepMatrix ("
       << dimension << ", " << dimension << ")'\n";
}

// Build the HepMatrix
void BuildMatrix(HepMatrix& matrix, const int& dimension)
{
  for (int i=0; i<dimension; ++i)
  {
    for (int j=0; j<dimension; ++j)
    {
      if (i == j)
        matrix[i][j] = 1000 + i*100;
      else if (i < j)
        matrix[i][j] = 2 + i*(dimension*2) + j*2;
      else if (j < i)
        matrix[i][j] = 2 + i*2 + j*(dimension*2);
    }
  }
}

// Show the HepMatrix
void Show(const HepMatrix& matrix)
{
  cout << "Using HepMatrix =" << matrix << "\n";
}

// Get the number of times to calculate the trace
void GetCalcs(int& N)
{
  cout << "How many times should the trace be calculated? ";
  cin >> N;
}

// Get the number of runs
void GetRuns(int& run)
{
  cout << "How many runs? ";
  cin >> run;
  cout << "\n";
}

// Find the trace of the HepMatrix
void Calculate(HepMatrix& matrix, const int& N, const int& run)
{
  // Define a counter
  int counter = 0;

  // Define a double to hold the result
  double trace = 0.;

  // Loop "run" times
  for (int r=0; r<run; ++r)
  {
    // Do the calculations
    for (int i=0; i<N; ++i)
    {
      trace = matrix.trace();
      ++counter;
    }

    // Write the output 
    cout << counter << " traces took place\n";
    cout << "Trace = " << trace << "\n";

    // Reset the counter
    counter = 0;
  }
}


int main()
{
  // What package are we using?
  Identification();

  // Get the dim(-ension)
  int dim = 0; GetDimension(dim);

  // Define a "dim x dim" HepMatrix
  HepMatrix m (dim, dim);

  // Describe how the HepMatrix was defined
  Describe (dim);

  // Build the "dim x dim" HepMatrix
  BuildMatrix(m, dim);

  // Show the actual HepMatrix
  Show(m);

  // Calculation parameters
  int tim = 0; GetCalcs(tim); // times calculating the trace
  int run = 0; GetRuns(run);  // number of runs

  // Find the trace of the HepMatrix
  Calculate(m, tim, run);

  return 0;
}