# include <math.h>
# include <stdio.h>
# include <stdlib.h>

# include "asa005.h"

/******************************************************************************/

void student_noncentral_cdf_values ( int *n_data, int *df, double *lambda, 
  double *x, double *fx )

/******************************************************************************/
/*
  Purpose:

    student_noncentral_cdf_values() returns values of the noncentral Student CDF.

  Discussion:

    In Mathematica, the function can be evaluated by:

      Needs["Statistics`ContinuousDistributions`"]
      dist = NoncentralStudentTDistribution [ df, lambda ]
      CDF [ dist, x ]

    Mathematica seems to have some difficulty computing this function
    to the desired number of digits.

  Licensing:

    This code is distributed under the MIT license. 

  Modified:

    01 September 2004

  Author:

    John Burkardt

  Reference:

    Milton Abramowitz, Irene Stegun,
    Handbook of Mathematical Functions,
    National Bureau of Standards, 1964,
    ISBN: 0-486-61272-4,
    LC: QA47.A34.

    Stephen Wolfram,
    The Mathematica Book,
    Fourth Edition,
    Cambridge University Press, 1999,
    ISBN: 0-521-64314-7,
    LC: QA76.95.W65.

  Parameters:

    Input/output, int *N_DATA.  The user sets N_DATA to 0 before the
    first call.  On each call, the routine increments N_DATA by 1, and
    returns the corresponding data; when there is no more data, the
    output value of N_DATA will be 0 again.

    Output, int *DF, double *LAMBDA, the parameters of the
    function.

    Output, double *X, the argument of the function.

    Output, double *FX, the value of the function.
*/
{
# define N_MAX 30

  int df_vec[N_MAX] = { 
     1,  2,  3, 
     1,  2,  3, 
     1,  2,  3, 
     1,  2,  3, 
     1,  2,  3, 
    15, 20, 25, 
     1,  2,  3, 
    10, 10, 10, 
    10, 10, 10, 
    10, 10, 10 };

  double fx_vec[N_MAX] = { 
     0.8975836176504333E+00,  
     0.9522670169E+00,  
     0.9711655571887813E+00,  
     0.8231218864E+00,  
     0.9049021510E+00,  
     0.9363471834E+00,  
     0.7301025986E+00,  
     0.8335594263E+00,  
     0.8774010255E+00,  
     0.5248571617E+00,  
     0.6293856597E+00,  
     0.6800271741E+00,  
     0.20590131975E+00,  
     0.2112148916E+00,  
     0.2074730718E+00,  
     0.9981130072E+00,  
     0.9994873850E+00,  
     0.9998391562E+00,  
     0.168610566972E+00,  
     0.16967950985E+00,  
     0.1701041003E+00,  
     0.9247683363E+00,  
     0.7483139269E+00,  
     0.4659802096E+00,  
     0.9761872541E+00,  
     0.8979689357E+00,  
     0.7181904627E+00,  
     0.9923658945E+00,  
     0.9610341649E+00,  
     0.8688007350E+00 };

  double lambda_vec[N_MAX] = { 
     0.0E+00,  
     0.0E+00,  
     0.0E+00,  
     0.5E+00,  
     0.5E+00,  
     0.5E+00,  
     1.0E+00,  
     1.0E+00,  
     1.0E+00,  
     2.0E+00,  
     2.0E+00,  
     2.0E+00,  
     4.0E+00,  
     4.0E+00,  
     4.0E+00,  
     7.0E+00,  
     7.0E+00,  
     7.0E+00,  
     1.0E+00,  
     1.0E+00,  
     1.0E+00,  
     2.0E+00,  
     3.0E+00,  
     4.0E+00,  
     2.0E+00,  
     3.0E+00,  
     4.0E+00,  
     2.0E+00,  
     3.0E+00,  
     4.0E+00 };

  double x_vec[N_MAX] = { 
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
      3.00E+00,  
     15.00E+00,  
     15.00E+00,  
     15.00E+00,  
      0.05E+00,  
      0.05E+00,  
      0.05E+00,  
      4.00E+00,  
      4.00E+00,  
      4.00E+00,  
      5.00E+00,  
      5.00E+00,  
      5.00E+00,  
      6.00E+00,  
      6.00E+00,  
      6.00E+00 };

  if ( *n_data < 0 )
  {
    *n_data = 0;
  }

  *n_data = *n_data + 1;

  if ( N_MAX < *n_data )
  {
    *n_data = 0;
    *df = 0;
    *lambda = 0.0;
    *x = 0.0;
    *fx = 0.0;
  }
  else
  {
    *df = df_vec[*n_data-1];
    *lambda = lambda_vec[*n_data-1];
    *x = x_vec[*n_data-1];
    *fx = fx_vec[*n_data-1];
  }

  return;
# undef N_MAX
}