#!/usr/bin/env python

def c8_le_l2 ( c1, c2 ):

#*****************************************************************************80
#
## C8_LE_L2 := C1 <= C1 for C8's, and the L2 norm.
#
#  Discussion:
#
#    The L2 norm can be defined here as:
#
#      C8_NORM_L2(C) = sqrt ( ( real (C) ) ^ 2 + abs ( imag (C) ) ^ 2 )
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    19 February 2015
#
#  Author:
#
#    John Burkardt
#
#  Parameters:
#
#    Input, complex C1, C2, the values to be compared.
#
#    Output, boolean VALUE, is TRUE if C1 <= C2.
#
  from c8_imag import c8_imag
  from c8_real import c8_real

  if ( ( c8_real ( c1 ) ) **2 + ( c8_imag ( c1 ) ) ** 2 \
    <= ( c8_real ( c2 ) ) **2 + ( c8_imag ( c2 ) ) ** 2 ) :
    value = True
  else:
    value = False

  return value

def c8_le_l2_test ( ):

#*****************************************************************************80
#
## C8_LE_L2_TEST tests C8_LE_L2.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license. 
#
#  Modified:
#
#    19 February 2015
#
#  Author:
#
#    John Burkardt
#
  from c8_uniform_01 import c8_uniform_01

  print ''
  print 'C8_LE_L2_TEST'
  print '  C8_LE_L2 evalues (C1 <= C2) using the L2 norm.'
  print ''
  print '       C1=C8_UNIFORM_01          C2=C8_UNIFORM_01          L3=C8_LE_L2(C1,C2)'
  print '     ---------------------     ---------------------     ---------------------'
  print ''

  seed = 123456789

  for i in range ( 0, 10 ):
    c1, seed = c8_uniform_01 ( seed )
    c2, seed = c8_uniform_01 ( seed )
    l3 = c8_le_l2 ( c1, c2 )
    print '  (%12f,%12f)  (%12f,%12f)  %s' \
      % ( c1.real, c1.imag, c2.real, c2.imag, l3 )

  print ''
  print 'C8_LE_L2_TEST:'
  print '  Normal end of execution.'

  return

if ( __name__ == '__main__' ):
  from timestamp import timestamp
  timestamp ( )
  c8_le_l2_test ( )
  timestamp ( )