#! /usr/bin/env python
#
def i4_normal_ab ( mu, sigma, seed ):

#*****************************************************************************80
#
## I4_NORMAL_AB returns a scaled pseudonormal I4.
#
#  Discussion:
#
#    The normal probability distribution function (PDF) is sampled,
#    with mean MU and standard deviation SIGMA.
#
#    The result is rounded to the nearest integer.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    04 March 2015
#
#  Author:
#
#    John Burkardt
#
#  Parameters:
#
#    Input, real MU, the mean of the PDF.
#
#    Input, real SIGMA, the standard deviation of the PDF.
#
#    Input, integer SEED, a seed for the random number generator.
#
#    Output, integer VALUE, a normally distributed
#    random value.
#
#    Output, integer SEED, an updated seed for the random
#    number generator.
#
  import numpy as np
  from r8_uniform_01 import r8_uniform_01

  r1, seed = r8_uniform_01 ( seed )
  r2, seed = r8_uniform_01 ( seed )
  value = np.sqrt ( - 2.0 * np.log ( r1 ) ) * np.cos ( 2.0 * np.pi * r2 )
  value = int ( mu + sigma * value )

  return value, seed

def i4_normal_ab_test ( ):

#*****************************************************************************80
#
## I4_NORMAL_AB_TEST tests I4_NORMAL_AB.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    04 March 2015
#
#  Author:
#
#    John Burkardt
#
  import platform

  print ( '' )
  print ( 'I4_NORMAL_AB_TEST' )
  print ( '  Python version: %s' % ( platform.python_version ( ) ) )
  print ( '  I4_NORMAL_AB computes integer pseudonormal values with' )
  print ( '  mean MU and standard deviation SIGMA.' )

  mu = 10.0
  sigma = 2.0
  seed = 123456789

  print ( '' )
  print ( '  MU = %g' % ( mu ) )
  print ( '  SIGMA = %g' % ( sigma ) )
  print ( '  SEED = %d' % ( seed ) )
  print ( '' )
  for i in range ( 0, 10 ):
    r, seed = i4_normal_ab ( mu, sigma, seed )
    print ( '  %2d  %12d' % ( i, r ) )
#
#  Terminate.
#
  print ( '' )
  print ( 'I4_NORMAL_AB_TEST' )
  print ( '  Normal end of execution.' )
  return

if ( __name__ == '__main__' ):
  from timestamp import timestamp
  timestamp ( )
  i4_normal_ab_test ( )
  timestamp ( )