#! /usr/bin/env python
#
def synch1_values ( n_data ):

#*****************************************************************************80
#
## SYNCH1_VALUES returns some values of the synchrotron radiation function.
#
#  Discussion:
#
#    The function is defined by:
#
#      SYNCH1(x) = x * Integral ( x <= t < infinity ) K(5/3)(t) dt
#
#    where K(5/3) is a modified Bessel function of order 5/3.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    22 February 2015
#
#  Author:
#
#    John Burkardt
#
#  Reference:
#
#    Milton Abramowitz and Irene Stegun,
#    Handbook of Mathematical Functions,
#    US Department of Commerce, 1964.
#
#    Allan McLeod,
#    Algorithm 757, MISCFUN: A software package to compute uncommon
#    special functions,
#    ACM Transactions on Mathematical Software,
#    Volume 22, Number 3, September 1996, pages 288-301.
#
#    Stephen Wolfram,
#    The Mathematica Book,
#    Fourth Edition,
#    Wolfram Media / Cambridge University Press, 1999.
#
#  Parameters:
#
#    Input/output, integer 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, real X, the argument of the function.
#
#    Output, real F, the value of the function.
#
  import numpy as np

  n_max = 20

  f_vec = np.array ( ( \
       0.26514864547487397044E+00, \
       0.62050129979079045645E+00, \
       0.85112572132368011206E+00, \
       0.87081914687546885094E+00, \
       0.65142281535536396975E+00, \
       0.45064040920322354579E+00, \
       0.30163590285073940285E+00, \
       0.19814490804441305867E+00, \
       0.12856571000906381300E+00, \
       0.52827396697866818297E-01, \
       0.42139298471720305542E-01, \
       0.21248129774981984268E-01, \
       0.13400258907505536491E-01, \
       0.84260797314108699935E-02, \
       0.12884516186754671469E-02, \
       0.19223826430086897418E-03, \
       0.28221070834007689394E-04, \
       0.15548757973038189372E-05, \
       0.11968634456097453636E-07, \
       0.89564246772237127742E-10 ))

  x_vec = np.array ( ( \
       0.0019531250E+00, \
       0.0312500000E+00, \
       0.1250000000E+00, \
       0.5000000000E+00, \
       1.0000000000E+00, \
       1.5000000000E+00, \
       2.0000000000E+00, \
       2.5000000000E+00, \
       3.0000000000E+00, \
       4.0000000000E+00, \
       4.2500000000E+00, \
       5.0000000000E+00, \
       5.5000000000E+00, \
       6.0000000000E+00, \
       8.0000000000E+00, \
      10.0000000000E+00, \
      12.0000000000E+00, \
      15.0000000000E+00, \
      20.0000000000E+00, \
      25.0000000000E+00 ))

  if ( n_data < 0 ):
    n_data = 0

  if ( n_max <= n_data ):
    n_data = 0
    x = 0.0
    f = 0.0
  else:
    x = x_vec[n_data]
    f = f_vec[n_data]
    n_data = n_data + 1

  return n_data, x, f

def synch1_values_test ( ):

#*****************************************************************************80
#
## SYNCH1_VALUES_TEST demonstrates the use of SYNCH1_VALUES.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    22 February 2015
#
#  Author:
#
#    John Burkardt
#
  import platform

  print ( '' )
  print ( 'SYNCH1_VALUES_TEST:' )
  print ( '  Python version: %s' % ( platform.python_version ( ) ) )
  print ( '  SYNCH1_VALUES stores values of the SYNCH1 function.' )
  print ( '' )
  print ( '      X         SYNCH1(X)' )
  print ( '' )

  n_data = 0

  while ( True ):

    n_data, x, f = synch1_values ( n_data )

    if ( n_data == 0 ):
      break

    print ( '  %12g  %24.16g' % ( x, f ) )
#
#  Terminate.
#
  print ( '' )
  print ( 'SYNCH1_VALUES_TEST:' )
  print ( '  Normal end of execution.' )
  return

if ( __name__ == '__main__' ):
  from timestamp import timestamp
  timestamp ( )
  synch1_values_test ( )
  timestamp ( )