#! /usr/bin/env python
#
def r8vec_uniform_01_sorted2 ( n, seed ):

#*****************************************************************************80
#
## R8VEC_UNIFORM_01_SORTED2 returns a sorted real random vector in [0,1].
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    28 March 2016
#
#  Author:
#
#    John Burkardt
#
#  Reference:
#
#    Jon Bentley, James Saxe,
#    Generating sorted lists of random numbers,
#    ACM Transactions on Mathematical Software,
#    Volume 6, Number 3, September 1980, pages 359-364.
#
#  Parameters:
#
#    Input, integer N, the number of values to generate.
#
#    Input, integer SEED, the integer "seed" used to generate
#    the output random number.  SEED should not be 0.
#
#    Output, real R8VEC(N), a real vector of random values
#    in ascending order.
#
#    Output, integer SEED, the updated seed.
#
  import numpy as np
  from r8vec_uniform_01 import r8vec_uniform_01

  r8vec = np.zeros ( n )
  r, seed = r8vec_uniform_01 ( n, seed )

  curmax = 1.0
  for i in range ( n - 1, -1, -1 ):
    curmax = curmax * np.exp ( np.log ( r[i] ) / float ( i + 1 ) )
    r8vec[i] = curmax

  return r8vec, seed

def r8vec_uniform_01_sorted2_test ( ):

#*****************************************************************************80
#
## R8VEC_UNIFORM_01_SORTED2_TEST tests R8VEC_UNIFORM_01_SORTED2_TEST.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    28 March 2016
#
#  Author:
#
#    John Burkardt
#
  from r8vec_transpose_print import r8vec_transpose_print

  print ( '' )
  print ( 'R8VEC_UNIFORM_01_SORTED2_TEST:' )
  print ( '  R8VEC_UNIFORM_01_SORTED2 generates a vector of N random' )
  print ( '  values in ascending sorted order.' )
  print ( '' )
  print ( '  Generate several examples:' )
  print ( '' )

  n = 5
  seed = 123456789

  for i in range ( 0, 10 ):
    r8vec, seed = r8vec_uniform_01_sorted2 ( n, seed )
    r8vec_transpose_print ( n, r8vec, '  R8VEC:' )
#
#  Terminate.
#
  print ( '' )
  print ( 'R8VEC_UNIFORM_01_SORTED2_TEST' )
  print ( '  Normal end of execution.' )
  return

if ( __name__ == '__main__' ):
  from timestamp import timestamp
  timestamp ( )
  r8vec_uniform_01_sorted2_test ( )
  timestamp ( )