#!/usr/bin/env python

def c8mat_norm_li ( m, n, a ):

#*****************************************************************************80
#
## C8MAT_NORM_LI returns the Loo norm of a C8MAT.
#
#  Discussion:
#
#    The Loo norm is defined as
#
#      C8MAT_NORM_LI = max ( 1 <= I <= M ) sum ( 1 <= J <= N ) abs ( A(I,J) ).
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    15 February 2015
#
#  Author:
#
#    John Burkardt
#
#  Parameters:
#
#    Input, integer M, the number of rows in A.
#
#    Input, integer N, the number of columns in A.
#
#    Input, complex A(M,N), the matrix whose norm is desired.
#
#    Output, real VALUE, the norm of A.
#
  import numpy as np

  value = 0.0

  for i in range ( 0, m ):
    row_sum = 0.0
    for j in range ( 0, n ):
      row_sum = row_sum + abs ( a[i,j] )
    value = max ( value, row_sum )

  return value

def c8mat_norm_li_test ( ):

#*****************************************************************************80
#
## C8MAT_NORM_LI_TEST tests C8MAT_NORM_LI.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    15 February 2015
#
#  Author:
#
#    John Burkardt
#
  import numpy as np
  from c8mat_indicator import c8mat_indicator
  from c8mat_print import c8mat_print

  print ''
  print 'C8MAT_NORM_LI_TEST'
  print '  C8MAT_NORM_LI computes the Loo norm of a C8MAT.'

  m = 5
  n = 4
  c = c8mat_indicator ( m, n )

  c8mat_print ( m, n, c, '  The Indicator matrix:' )

  value = c8mat_norm_li ( m, n, c )

  print ''
  print '  Loo norm = %g' % ( value )

  print ''
  print 'C8MAT_NORM_LI_TEST:'
  print '  Normal end of execution.'

  return

if ( __name__ == '__main__' ):
  from timestamp import timestamp
  timestamp ( )
  c8mat_norm_li_test ( )
  timestamp ( )