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

#*****************************************************************************80
#
## COT_VALUES returns some values of the cotangent function.
#
#  Discussion:
#
#    In Mathematica, the function can be evaluated by:
#
#      Cot[x]
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    31 January 2015
#
#  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, 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 FX, the value of the function.
#
  import numpy as np

  n_max = 15

  fx_vec = np.array ( ( \
   11.972209353628661620, \
    3.7320508075688772935, \
    1.8304877217124519193, \
    1.7320508075688772935, \
    1.0000000000000000000, \
    0.64209261593433070301, \
    0.57735026918962576451, \
    0.26794919243112270647, \
    0.00000000000000000000, \
    0.13165249758739585347, \
    0.065543462815238228565, \
   -0.45765755436028576375, \
   -7.0152525514345334694, \
    0.86369115445061661395, \
   -0.29581291553274554043 ))

  x_vec = np.array ( ( \
   0.083333333333333333333, \
   0.26179938779914943654, \
   0.50000000000000000000, \
   0.52359877559829887308, \
   0.78539816339744830962, \
   1.0000000000000000000, \
   1.0471975511965977462, \
   1.3089969389957471827, \
   1.5707963267948966192, \
   1.4398966328953219010, \
   1.5053464798451092601, \
   2.0000000000000000000, \
   3.0000000000000000000, \
   4.0000000000000000000, \
   5.0000000000000000000 ))

  if ( n_data < 0 ):
    n_data = 0

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

  return n_data, x, fx

def cot_values_test ( ):

#*****************************************************************************80
#
## COT_VALUES_TEST demonstrates the use of COT_VALUES.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    31 January 2015
#
#  Author:
#
#    John Burkardt
#
  import platform

  print ( '' )
  print ( 'COT_VALUES_TEST:' )
  print ( '  Python version: %s' % ( platform.python_version ( ) ) )
  print ( '  COT_VALUES stores values of the cotangent function.' )
  print ( '' )
  print ( '      X         COT(X)' )
  print ( '' )

  n_data = 0

  while ( True ):

    n_data, x, fx = cot_values ( n_data )

    if ( n_data == 0 ):
      break

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

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