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

#*****************************************************************************80
#
## NORMAL_MS_CDF_INV inverts the CDF 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 CDF, the value of the CDF.
#    0.0 <= CDF <= 1.0.
#
#    Input, real MU, SIGMA, the parameters of the PDF.
#    0.0 < SIGMA.
#
#    Output, real VALUE, the corresponding argument.
#
  from normal_01_cdf_inv import normal_01_cdf_inv

  if ( cdf < 0.0 or 1.0 < cdf ):
    print ( '' )
    print ( 'NORMAL_MS_CDF_INV - Fatal error!' )
    print ( '  CDF < 0 or 1 < CDF.' )
    error ( 'NORMAL_MS_CDF_INV - Fatal error!' )

  y = normal_01_cdf_inv ( cdf )

  value = mu + sigma * y

  return value

def normal_ms_cdf_inv_test ( ):

#*****************************************************************************80
#
## NORMAL_MS_CDF_INV_TEST tests NORMAL_MS_CDF_INV.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    05 March 2015
#
#  Author:
#
#    John Burkardt
#
  import platform
  from normal_ms_cdf import normal_ms_cdf

  print ( '' )
  print ( 'NORMAL_MS_CDF_INV_TEST' )
  print ( '  Python version: %s' % ( platform.python_version ( ) ) )
  print ( '  NORMAL_MS_CDF_INV inverts the CDF' )
  print ( '  of the Normal MS distribution.' )

  mu = 100.0
  sigma = 15.0

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

  print ( '' )
  print ( '       X              CDF            CDF_INV' )
  print ( '' )

  for i in range ( -20, +21 ):

    x = mu + sigma * float ( i ) / 10.0
    cdf = normal_ms_cdf ( x, mu, sigma )
    x2 = normal_ms_cdf_inv ( cdf, mu, sigma )
    print ( '  %14.6g  %14.6g  %14.6g' % ( x, cdf, x2 ) )
#
#  Terminate.
#
  print ( '' )
  print ( 'NORMAL_MS_CDF_INV_TEST:' )
  print ( '  Normal end of execution.' )
  return

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