// tsncom09.cc
// Nick Macks (macks@fnal.gov), Summer 2002

// LinearAlgebra: Matrix multiplication
// (user can specify if the matrices are to be declared specialized
// and/or symmetric)

#include "LinearAlgebra/Matrix.h"

using namespace std;

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


// Package ID
void Identification()
{
  cout << "Using LinearAlgebra\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 matrices were defined
void Describe(const int& dimension)
{
  cout << "Matrices were defined 'Matrix ("
       << dimension << ", " << dimension << ")'\n";
}

// Build the matrix
void BuildMatrix(Matrix& 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);
    }
  }
}

// Ask the user if he wants the matrix declared specialized
void DeclareMatrixSpecialized(Matrix& matrix, const int& dimension)
{
  char special;
  cout << "Declare Matrix as Specialized? (y/n): ";
  cin >> special;

  while ( (special != 'y') && (special != 'Y')
       && (special != 'n') && (special != 'N') )
  {
    cout << "Please enter y or n: ";
    cin >> special;
  }

  if ( (special == 'y') || (special == 'Y') )
  {
    if (dimension == 5)
      matrix.declareM55();
    else if (dimension == 6)
      matrix.declareM66();
    else if (dimension == 4)
      matrix.declareM44();
    else if (dimension == 3)
      matrix.declareM33();
    else if (dimension == 2)
      matrix.declareM22();
    else if (dimension == 1)
      cout << "Matrices weren't declared as specialized since dimension is 1\n";
  }
}

// Ask the user if he wants the matrix declared symmetric
void DeclareMatrixSymmetric(Matrix& matrix)
{
  char symmetry;
  cout << "Declare Matrix as Symmetric? (y/n): ";
  cin >> symmetry;

  while ( (symmetry != 'y') && (symmetry != 'Y')
       && (symmetry != 'n') && (symmetry != 'N') )
  {
    cout << "Please enter y or n: ";
    cin >> symmetry;
  }

  if ( (symmetry == 'y') || (symmetry == 'Y') )
    matrix.declareSymmetric();
}

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

// Get the number of calculations
void GetCalcs(int& N)
{
  cout << "How many multiplications? ";
  cin >> N;
}

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

// Multiply the matrices
void Calculate(Matrix& matrix1, Matrix& matrix2, 
               const int& dimension, const int& N, const int& runs)
{
  // Define a counter
  int counter = 0;

  // Define a matrix to hold the result
  Matrix product (dimension, dimension);

  // Loop "run" times
  for (int r=0; r<runs; ++r)
  { 
    // Do the multiplications
    for (int i=0; i<N; ++i)
    {
      product = matrix1 * matrix2;
      matrix1 = product;
      ++counter;
    }

    // Write the output
    cout << counter << " multiplications took place\n";
    cout << "Product =\n" << product << "\n";

    // Reset the counter
    counter = 0;
  }
}


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

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

  // Define two "dim x dim" matrices
  Matrix m1 (dim, dim);
  Matrix m2 (dim, dim);

  // Describe how the matrices were defined
  Describe (dim);

  // Build the matrices
  BuildMatrix(m1, dim);
  BuildMatrix(m2, dim);

  // Declare the matrices specialized?
  DeclareMatrixSpecialized(m1, dim);
  DeclareMatrixSpecialized(m2, dim);

  // Declare the matrices symmetric?
  DeclareMatrixSymmetric(m1);
  DeclareMatrixSymmetric(m2);

  // Show the actual matrices
  Show(m1);
  Show(m2);

  // Calculation parameters
  int tim = 0; GetCalcs(tim); // times to perform the calculation
  int run = 0; GetRuns(run);  // number of runs

  // Do the matrix multiplications
  Calculate(m1, m2, dim, tim, run);

  return 0;
}