function [ imin, imax, jmin, jmax ] = word_range ( w, p )

%*****************************************************************************80
%
%% word_range() determines the range of a shape from its boundary word.
%
%  Discussion:
%
%    The boundary word describes how to trace the boundary by starting
%    at a base point (i,j), and taking a sequence of steps of 
%    in one of 8 directions, as suggested by this diagram:
%
%      D--C--B
%   ^  |\ | /|
%   |  | \|/ |
%   J  E--P--A
%      | /|\ |
%      |/ | \|
%      F--G--H
%
%         I-->
%
%    If the current position P has coordinates (I,J), then
%    the step of given index moves to
%
%      A  (I+1,J  )
%      B  (I+1,J+1)
%      C  (I,  J+1)
%      D  (I-1,J+1)
%      E  (I-1,J  )
%      F  (I-1,J-1)
%      G  (I,  J-1)
%      H  (I+1,J-1)
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    07 December 2021
%
%  Author:
%
%    John Burkardt
%
%  Input:
%
%    string W: the boundary word.
%
%    integer P(1,2): the boundary word starting point.
%
%  Output:
%
%    integer IMIN, IMAX, JMIN, JMAX: the I and J ranges of the polyiamond.
%
  imin = p(1,1);
  imax = p(1,1);
  jmin = p(1,2);
  jmax = p(1,2);

  i = p(1,1);
  j = p(1,2);
  
  wn = length ( w );

  for k = 1 : wn

        if ( w(k) == 'A' )
      i = i + 1;
    elseif ( w(k) == 'B' )
      i = i + 1;
      j = j + 1;
    elseif ( w(k) == 'C' )
      j = j + 1;
    elseif ( w(k) == 'D' )
      i = i - 1;
      j = j + 1;
    elseif ( w(k) == 'E' )
      i = i - 1;
    elseif ( w(k) == 'F' )
      i = i - 1;
      j = j - 1;
    elseif ( w(k) == 'G' )
      j = j - 1;
    elseif ( w(k) == 'H' )
      i = i + 1;
      j = j - 1;
    end
 
    imin = min ( imin, i );
    imax = max ( imax, i );
    jmin = min ( jmin, j );
    jmax = max ( jmax, j );
    
  end

  return
end

