#! /usr/bin/env python
#
def r8vec_is_ascending_strictly ( n, x ):

#*****************************************************************************80
#
## R8VEC_IS_ASCENDING_STRICTLY determines if an R8VEC is strictly ascending.
#
#  Discussion:
#
#    An R8VEC is a vector of R8's.
#
#    Notice the effect of entry number 6 in the following results:
#
#      X = ( -8.1, 1.3, 2.2, 3.4, 7.5, 7.4, 9.8 )
#      Y = ( -8.1, 1.3, 2.2, 3.4, 7.5, 7.5, 9.8 )
#      Z = ( -8.1, 1.3, 2.2, 3.4, 7.5, 7.6, 9.8 )
#
#      R8VEC_IS_ASCENDING_STRICTLY ( X ) = false
#      R8VEC_IS_ASCENDING_STRICTLY ( Y ) = false
#      R8VEC_IS_ASCENDING_STRICTLY ( Z ) = true
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    02 July 2012
#
#  Author:
#
#    John Burkardt
#
#  Parameters:
#
#    Input, integer N, the size of the array.
#
#    Input, real X(N), the array to be examined.
#
#    Output, logical R8VEC_IS_ASCENDING_STRICTLY, is true if the
#    entries of X strictly ascend.
#
  value = True

  for i in range ( 0, n - 1 ):
    if ( x[i+1] <= x[i] ):
      value = False
      break

  return value

def r8vec_is_ascending_strictly_test ( ):

#*****************************************************************************80
#
## R8VEC_IS_ASCENDING_STRICTLY_TEST tests R8VEC_IS_ASCENDING_STRICTLY.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    03 April 2018
#
#  Author:
#
#    John Burkardt
#
  import numpy as np
  import platform
  from r8vec_transpose_print import r8vec_transpose_print

  print ( '' )
  print ( 'R8VEC_IS_ASCENDING_STRICTLY_TEST' )
  print ( '  Python version: %s' % ( platform.python_version ( ) ) )
  print ( '  R8VEC_IS_ASCENDING_STRICTLY is TRUE if the entries of an R8VEC' )
  print ( '  are strictly ascending.' )

  n = 4

  x = np.array ( [ 1.0, 2.0, 0.0, 9.0 ] )
  print ( '' )
  r8vec_transpose_print ( n, x, '  X:' )
  if ( r8vec_is_ascending_strictly ( n, x ) ):
    print ( '  X is strictly ascending.' )
  else:
    print ( '  X is NOT strictly ascending.' )

  x = np.array ( [ 1.0, 2.0, 2.0, 9.0 ] )
  print ( '' )
  r8vec_transpose_print ( n, x, '  X:' )
  if ( r8vec_is_ascending_strictly ( n, x ) ):
    print ( '  X is strictly ascending.' )
  else:
    print ( '  X is NOT strictly ascending.' )

  x = np.array ( [ 1.0, 2.0, 4.0, 9.0 ] )
  print ( '' )
  r8vec_transpose_print ( n, x, '  X:' )
  if ( r8vec_is_ascending_strictly ( n, x ) ):
    print ( '  X is strictly ascending.' )
  else:
    print ( '  X is NOT strictly ascending.' )
#
#  Terminate.
#
  print ( '' )
  print ( 'R8VEC_IS_ASCENDING_STRICTLY_TEST' )
  print ( '  Normal end of execution.' )
  return

if ( __name__ == '__main__' ):
  from timestamp import timestamp
  timestamp ( )
  r8vec_is_ascending_strictly_test ( )
  timestamp ( )