#! /usr/bin/env python
#
def normal_ms_mean ( mu, sigma ):

#*****************************************************************************80
#
## NORMAL_MS_MEAN returns the mean of the Normal MS distribution.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    05 March 2015
#
#  Author:
#
#    John Burkardt
#
#  Parameters:
#
#    Input, real MU, SIGMA, the parameters of the PDF.
#    0.0 < SIGMA.
#
#    Output, real VALUE, the mean of the PDF.
# 
  value = mu

  return value

def normal_ms_mean_test ( ):

#*****************************************************************************80
#
## NORMAL_MS_MEAN_TEST tests NORMAL_MS_MEAN.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    05 March 2015
#
#  Author:
#
#    John Burkardt
#
  import numpy as np
  import platform
  from normal_ms_sample import normal_ms_sample
  from r8vec_max import r8vec_max
  from r8vec_mean import r8vec_mean
  from r8vec_min import r8vec_min

  print ( '' )
  print ( 'NORMAL_MS_MEAN_TEST' )
  print ( '  Python version: %s' % ( platform.python_version ( ) ) )
  print ( '  NORMAL_MS_MEAN computes the mean' )
  print ( '  of the Normal MS distribution.' )

  mu = 100.0
  sigma = 15.0

  m = normal_ms_mean ( mu, sigma )

  print ( '' )
  print ( '  PDF parameter MU = %g' % ( mu ) )
  print ( '  PDF parameter SIGMA = %g' % ( sigma ) )
  print ( '  PDF mean = %g' % ( m ) )

  nsample = 1000
  seed = 123456789

  x = np.zeros ( nsample )
  for i in range ( 0, nsample ):
    x[i], seed = normal_ms_sample ( mu, sigma, seed )

  ms = r8vec_mean ( nsample, x )
  xmax = r8vec_max ( nsample, x )
  xmin = r8vec_min ( nsample, x )

  print ( '' )
  print ( '  Sample size =     %6d' % ( nsample ) )
  print ( '  Sample mean =     %14g' % ( ms ) )
  print ( '  Sample maximum =  %14g' % ( xmax ) )
  print ( '  Sample minimum =  %14g' % ( xmin ) )
#
#  Terminate.
#
  print ( '' )
  print ( 'NORMAL_MS_MEAN_TEST:' )
  print ( '  Normal end of execution.' )
  return

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