math_Rational.cpp

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#include "math_Rational.h"
 
 
const std::string Math_Rational::class_name = "Math_Rational";
 
//====================================================================
void Math_Rational::set_parameters(const Parameters& params)
{
  std::string vlevel;
  if (!params.fetch_string("verbose_level", vlevel)) {
    m_vl = vout.set_verbose_level(vlevel);
  }
 
  //- fetch and check input parameters
  int    Np, n_exp, d_exp;
  double x_min, x_max;
 
  int err = 0;
  err += params.fetch_int("number_of_poles", Np);
  err += params.fetch_int("exponent_numerator", n_exp);
  err += params.fetch_int("exponent_denominator", d_exp);
  err += params.fetch_double("lower_bound", x_min);
  err += params.fetch_double("upper_bound", x_max);
 
  if (err) {
    vout.crucial(m_vl, "Error at %s: input parameter not found.\n", class_name.c_str());
    exit(EXIT_FAILURE);
  }
 
  set_parameters(Np, n_exp, d_exp, x_min, x_max);
}
 
 
//====================================================================
void Math_Rational::get_parameters(Parameters& params) const
{
  params.set_int("number_of_poles", m_Np);
  params.set_int("exponent_numerator", m_n_exp);
  params.set_int("exponent_denominator", m_d_exp);
  params.set_double("lower_bound", m_x_min);
  params.set_double("upper_bound", m_x_max);
 
  params.set_string("verbose_level", vout.get_verbose_level(m_vl));
}
 
 
//====================================================================
void Math_Rational::set_parameters(const int Np, const int n_exp, const int d_exp,
                                   const double x_min, const double x_max)
{
  //- print input parameters
  vout.general(m_vl, "%s:\n", class_name.c_str());
  vout.general(m_vl, "  Np    = %d\n", Np);
  vout.general(m_vl, "  n_exp = %d\n", n_exp);
  vout.general(m_vl, "  d_exp = %d\n", d_exp);
  vout.general(m_vl, "  x_min = %10.6f\n", x_min);
  vout.general(m_vl, "  x_max = %10.6f\n", x_max);
 
  //- range check
  int err = 0;
  err += ParameterCheck::non_zero(Np);
  err += ParameterCheck::non_zero(n_exp);
  err += ParameterCheck::non_zero(d_exp);
  // NB. x_min,x_max == 0 is allowed.
 
  if (err) {
    vout.crucial(m_vl, "Error at %s: parameter range check failed.\n", class_name.c_str());
    exit(EXIT_FAILURE);
  }
 
  //- store values
  m_Np    = Np;
  m_n_exp = n_exp;
  m_d_exp = d_exp;
  m_x_min = x_min;
  m_x_max = x_max;
 
  //- post-process
  m_res.resize(m_Np);
  m_pole.resize(m_Np);
 
  set_coeff();
}
 
 
//====================================================================
void Math_Rational::get_parameters(double& norm, std::vector<double>& res,
                                   std::vector<double>& pole)
{
  if (res.size() != m_Np) {
    vout.crucial(m_vl, "Error at %s: size of cl is not correct\n", class_name.c_str());
    exit(EXIT_FAILURE);
  }
 
  if (pole.size() != m_Np) {
    vout.crucial(m_vl, "Error at %s: size of bl is not correct\n", class_name.c_str());
    exit(EXIT_FAILURE);
  }
 
  norm = m_norm;
  for (int i = 0; i < m_Np; ++i) {
    res[i]  = m_res[i];
    pole[i] = m_pole[i];
  }
}
 
 
//====================================================================
void Math_Rational::set_coeff()
{
  read_file();
}
 
 
//====================================================================
void Math_Rational::read_file()
{
  const double sqrt_eps = sqrt(CommonParameters::epsilon_criterion());
 
  // setting input file
  char filename[FILENAME_MAX];
 
  snprintf(filename, FILENAME_MAX,
           "parameter_rational.%1d_%1d%s_%02d_%010.8f_%07.3f",
           abs(m_n_exp), m_d_exp,
           ((m_n_exp < 0) ? "inv" : ""),
           m_Np,
           m_x_min, m_x_max);
 
  vout.general(m_vl, "%s: expected filename: %s\n", class_name.c_str(), filename);
 
  int    Np, n_exp, d_exp;
  double x_min, x_max;
 
  // read parameters from file
  std::fstream parameter_file;
  parameter_file.open(filename, std::ios::in);
  if (!parameter_file.is_open()) {
    vout.crucial(m_vl, "Error at %s: failed to open parameter file. %s(%d)\n",
                 class_name.c_str(), __FILE__, __LINE__);
    exit(EXIT_FAILURE);
  }
 
  parameter_file >> Np >> n_exp >> d_exp;
  parameter_file >> x_min >> x_max;
  parameter_file >> m_error;
  parameter_file >> m_norm;
  for (int i = 0; i < Np; i++) {
    parameter_file >> m_res[i] >> m_pole[i];
  }
  parameter_file.close();
 
  vout.general(m_vl, "%s: read parameter file successful.\n", class_name.c_str());
 
  /*
  vout.general(m_vl, " Rational approximation (read from file): %s\n",
          filename.c_str());
  vout.general(m_vl, " Np = %d\n", m_Np);
  vout.general(m_vl, " n_exp = %d,  d_exp = %d\n", m_n_exp,m_d_exp);
  vout.general(m_vl, " x_min = %12.8f\n",  m_x_min);
  vout.general(m_vl, " x_max = %12.8f\n",  m_x_max);
  vout.general(m_vl, " error = %18.16e\n", m_error);
  vout.general(m_vl, " RA_a0 = %18.16e\n", m_norm );
  for(int i = 0; i < n; i++){
    vout.general(m_vl, " RA_b[%d] = %18.16e, RA_c[%d] = %18.16e\n",
             i, m_res[i], i, m_pole[i]);
  }
  */
 
  assert(m_Np == Np);
  assert(m_n_exp == n_exp);
  assert(m_d_exp == d_exp);
 
  assert(fabs((m_x_min - x_min) / x_min) < sqrt_eps);
  assert(fabs((m_x_max - x_max) / x_max) < sqrt_eps);
}
 
 
//====================================================================
double Math_Rational::func(const double x)
{
  double y = m_norm;
 
  for (int k = 0; k < m_Np; ++k) {
    y += m_res[k] / (x + m_pole[k]);
  }
 
  return y;
}
 
 
//====================================================================
//============================================================END=====