#! /usr/bin/env python
#
def i4_fraction ( i, j ):

#*****************************************************************************80
#
## I4_FRACTION computes a ratio and returns an integer result.
#
#  Discussion:
#
#    Given variables I and J, MATLAB will evaluate an expression such as 
#    "I/J" using real arithmetic.  Thus "7/3" produces the 2.333...
#
#    In the case where the result is negative, such as -2.33..., we might
#    choose to round down to -3 or up to -2.  In MATLAB, this is the
#    difference between the floor() and round() functions.  Here, we
#    choose the ROUND function so that, for instance, it will be true that
#
#      i4_fraction ( i, j ) + i4_fraction ( -i, j ) = 0
#
#  Example:
#
#       I     J     Real    I4_FRACTION
#
#       1     2     0.5      0
#       8     4     2.00     2
#       9     4     2.25     2
#       7     4     1.75     1
#      -7     4    -1.75    -1
#       7    -4    -1.75    -1     
#      -7    -4     1.75     1
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license. 
#
#  Modified:
#
#    08 May 2013
#
#  Author:
#
#    John Burkardt
#
#  Parameters:
#
#    Input, integer I, J, the arguments.
#
#    Output, integer VALUE, the value of the ratio.
#
  value = round ( i / j )

  return value