function  frame_stress_plot (i_p, d_scale, inc_m, inc_e, inc_p, row) %CL
% inc_m = 1, include original mesh, else omit
% inc_e  = increment in element numbers on plot, if > 0
% inc_p  = increment in node numbers on plot, if > 0
% row    = row number where cord & connectivity start, 1 or 2 %CL
% Copyright 2005, J.E. Akin.  All rights reserved.
% function  frame_stress_plot (d_scale, inc_m)
%  ------------------------------------------------------
%  Matlab program to plot 2-D deformed FE meshes
%  ------------------------------------------------------

% d_scale = deflection multiplier (default 100)
% c_x    = x coordinates of nod_per_el line polygon
% c_y    = y coordinates of nod_per_el line polygon
% msh_typ_nodes   = connectivity list for elements, nt x nod_per_el
% loop   = corners for nod_per_el line polygon
% lab_p  = 1, if node points are circled
  lab_p  = 0;
% nod_per_el = Nodes per element
% np     = Number of Points
% nt     = Number of elements
% pre_e  = Element items before connectivity list
% pre_p  = Nodal items before coordinates
% pre_r  = Nodal items before results %CL
% msh_bc_xyz = Nodal coordinates (with preceeding data)
% sx, sy = scaled mesh positions = x + d_scale * x_def, etc
% t_x    = x coordinates of nod_per_el corners
% t_y    = y coordinates of nod_per_el corners
% x_bar  = x-centroid of each element
% xy     = Coordinates of points, np x 2
% y_bar  = y-centroid of each element

  pre_e  = 0 ;
  pre_p = 1;
  pre_r = 0 ; %CL
  format short g
  if ( nargin == 0 )
    i_p = 4;
    d_scale = 1.0 ; inc_m = 1;
    inc_e = 0; inc_p = 0; row = 1 ; %CL
  end % if no arguments
  if ( nargin == 1 )
    d_scale = 1.0 ; 
    inc_e = 0; inc_p = 0; inc_m = 1; row = 1 ; %CL
  end % if no arguments
  if ( nargin == 2 )
    inc_m = 1;
    inc_e = 0; inc_p = 0;  row = 1 ; %CL
  end % if no arguments
  if ( nargin == 3 )
    inc_e = 0; inc_p = 0;  row = 1 ; %CL
  end % if no arguments
  if ( nargin == 4 )
    inc_p = 0; row = 1 ; %CL
  end % if no arguments
  if ( nargin == 5 )
    row = 1; 
  end % if no arguments
  if ( nargin == 5 )
    pre_e = 0 ; pre_r = 2 ; %CL
  end % if no arguments
  less = row - 1 ; %CL
  fprintf ('Using scale %g, d_scale ')

%    Read coordinate file and connectivity file
%    integer bc code, real xy pairs for np points 

%    Set control data: number of points
  load msh_bc_xyz.tmp ;  
  np = size (msh_bc_xyz,1) ;   % number of nodal points  
  np = np - less ;   %CL
  ns = size (msh_bc_xyz,2) - pre_p ;   % dimension of space
  if ( np == 0 )
    error ('Error missing file msh_bc_xyz.tmp')
  end % if error
  fprintf ('and %g coordinate pairs \n', np)

  x (np)      = 0.       ;       % pre-allocate array x
  y (np)      = 0.       ;       % pre-allocate array y
  sx (np) = 0.       ;       % pre-allocate array sx
  sy (np) = 0.       ;       % pre-allocate array sy

  % msh_bc_xyz has: pre_p items then: x, y
  %b x = msh_bc_xyz (1:np, (pre_p+1)) ; % extract x column of xy
  x = msh_bc_xyz (row:(np+less), (pre_p+1)) ; % extract x  %CL
  if ( ns >= 2 )
    %b y = msh_bc_xyz (1:np, (pre_p+2)) ; % extract y column of xy
    y = msh_bc_xyz (row:(np+less), (pre_p+2)) ; % extract y %CL
  else
    y (1:np) = 0. ;
  end % if 1D
  
%    Set control data: number elements & nodes_per_element
  load  msh_typ_nodes.tmp ; % nod_per_el nodes per element
  nt = size (msh_typ_nodes,1);           % number of elements 
  nt = nt - less ; %CL
  if ( nt == 0 )
    error ('Error missing file msh_typ_nodes.tmp')
  end % if error
  nod_per_el = size (msh_typ_nodes,2) - pre_e -1 ; % nodes per element
  fprintf ('Read %g elements with %g nodes each \n', nt,nod_per_el)
  Col_1 = pre_e+2 ; %CL
  Col_2 = nod_per_el+pre_e+1 ; %CL

%    Get deflections
  load node_results.tmp
  nd = size (node_results, 1) ;
  if ( nd == 0 )
    error ('Error missing file node_results.tmp')
  end % if error
  fprintf ('Read %g mesh deformations \n', nd)

  [X_X, L_X] = max ( abs (node_results (:, pre_r+1)) ) ; %CL
  [Y_X, L_Y] = max ( abs (node_results (:, pre_r+2)) ); %CL
  Max_Disp = max (X_X, Y_X) ;
  maxx  = max (x)    ; minx = min (x) ;
  maxy  = max (y)    ; miny = min (y) ;
  Max_Len= max((maxx-minx),(maxy-miny)) ;
  Good_Scale=Max_Len/Max_Disp/20 ;
  fprintf ('Suggested displacement scale = %g \n', Good_Scale)

  X_X = node_results (L_X, pre_r+1) ; %CL
  Y_X = node_results (L_Y, pre_r+2) ; %CL

  if ( ns == 1 ) % then 1-D plot as transverse
    sx = x ;
    sy = d_scale * node_results (:, pre_r+1) ; %CL
  else
    sx = d_scale * node_results (:, pre_r+1) + x ; %CL
    sy = d_scale * node_results (:, pre_r+2) + y ; %CL
  end% if 1D

%   get element result magnitude from node 1 to 2
  load el_sect_xyz_stress.tmp
  en = size(el_sect_xyz_stress,1) ;
  n_sec = en/nt ; % segments per el

  value (nt)  = 0.       ;
  x_bar (nt)  = 0.       ;       % pre-allocate array x_bar
  y_bar (nt)  = 0.       ;       % pre-allocate array y_bar

  t_nodes (nod_per_el) = 0 ;    % Optional pre-allocation
  t_x (nod_per_el) = 0 ;        % Optional pre-allocation
  t_y (nod_per_el) = 0 ;        % Optional pre-allocation
  c_x (nod_per_el + 1) = 0 ;    % Optional pre-allocation
  c_y (nod_per_el + 1) = 0 ;    % Optional pre-allocation
  loop (nod_per_el + 1) = 0 ;   % Optional pre-allocation
 
  Smax = max (el_sect_xyz_stress(:, 4+i_p)) ;
  Smin = min (el_sect_xyz_stress(:, 4+i_p)) ;
  if ( Smax == Smin )
    Smax = Smax + 1. ;
    Smin = Smin - 1. ;
  end % IF
  S (1:np) = Smin  ;               % SET TO ZERO FOR LABELS

%                set constants
  [loop] = get_El_Loop (nod_per_el) ;

%    Initialize plots
  maxsx = max (sx)   ; minsx = min (sx) ;
  maxsy = max (sy)   ; minsy = min (sy) ;
  xmax = max ([maxx, maxsx])      ;
  xmin = min ([minx, minsx])      ;
  ymax = max ([maxy, maxsy])      ;
  ymin = min ([miny, minsy])      ;
  Diagonal = sqrt((xmax-xmin)^2 + (ymax-ymin)^2) / 5 ;
  xmax = xmax + Diagonal / 2 ;
  ymax = ymax + Diagonal / 2 ;
  xmin = xmin - Diagonal / 2 ;
  ymin = ymin - Diagonal / 2 ;

  clf                               % clear graphics
  axis ([xmin, xmax, ymin, ymax])   % set axes
  axis ('equal')                    % true shape style
  hold on                           % hold image for plots
  grid                              % add grid dots

  xlabel (['X for ', int2str(nt),' Elements (with ', ...
          int2str(nod_per_el), ' nodes)'])
  ylabel (['Y for ', int2str(np), ' Nodes. ', ...
           'Displacement scale = ', num2str(d_scale)])    
 
  if ( i_p == 1 )
    title (['Max Principle Stress, P1 ', ...                  
    ' (max = ', num2str(Smax), ', min = ', num2str(Smin), ')'])
  elseif ( i_p == 2 )
    title (['Min Principle Stress, P2', ...               
    ' (max = ', num2str(Smax), ', min = ', num2str(Smin), ')'])
  elseif ( i_p == 3 )
    title (['Maximum Shear Stress, PS', ...               
    ' (max = ', num2str(Smax), ', min = ', num2str(Smin), ')'])
  elseif ( i_p == 4 )
    title (['Max Von Mises Stress, VM', ...               
    ' (max = ', num2str(Smax), ', min = ', num2str(Smin), ')'])
  elseif ( i_p == 5 )
    title (['Centroidal Axial Stress, Sx', ...            
    ' (max = ', num2str(Smax), ', min = ', num2str(Smin), ')'])
  elseif ( i_p == 6 )
    title (['Max Torsional Stress, St', ...               
    ' (max = ', num2str(Smax), ', min = ', num2str(Smin), ')'])
  else
    error ('First argument is 1 <= i_p <= 6.')
  end % if
  S_range = Smax - Smin ;
  if ( S_range <= 0. )
    S_range = 1.0;
  end %if

%      Plot input mesh points & label them
  if (lab_p == 1)                   % plot all points
    plot (x, y, 'b.')               % mark each node
  end % if show labels

  if (inc_p > 0)      % plot node numbers, if node in mesh
   in_mesh (1:np) = 0 ;               % default to missing
   for i = 1:nt                       % loop all elements
     for j = 1:nod_per_el             % loop its nodes
       %b in_mesh (msh_typ_nodes(i, j)) = 1; % flag as present
       in_mesh (msh_typ_nodes(i+less, j+pre_e+1)) = 1; % present %CL
     end % for its nodes
   end % for all elements

   for i = 1:inc_p:np                 % convert to string
     %b if ( in_mesh (i) > 0 )           % it is present
      p_text = sprintf ('  %g', i);   % offset # from pt
      text (x(i), y(i), p_text)       % plot pt number
     %b end % if present
   end % for all points
  end % if show labels
  disp (' ')

%    Loop over all elements
  Less = n_sec-1 ; % trapezoids per element
  inc  = 1       ; % next row
  if ( n_sec == 3 ) % linear plot, one trapezoid per element
    Less = 1 ;
    inc  = 2 ;
  elseif ( n_sec == 5 )
    Less = 1 ;
    inc  = 4 ;
  end % if
  i_f  = 4 + i_p ; % force column
  for it = 1:nt  ;

%      Extract corner connectivity 
    t_nodes = msh_typ_nodes ((it+less), Col_1:Col_2 ) ; %CL

      t_x  = x (t_nodes) ;         % x original
      t_y  = y (t_nodes) ;         % y original
%      Get the centroid
      x_bar (it) = sum (t_x' )/nod_per_el ;
      y_bar (it) = sum (t_y' )/nod_per_el ;
      c_x  = t_x (loop) ;
      c_y  = t_y (loop) ;
%      Plot the original ploygon
    if ( inc_m == 1)
      plot (c_x, c_y, 'g-') 
      plot (c_x, c_y, 'g*') 
    end % if original mesh

%      Extract corner coordinates of displaced mesh
    t_x  = sx (t_nodes) ;         % sx at those nodes, only
    t_y  = sy (t_nodes) ;         % sy at those nodes, only

%      Plot this deformed polygon
    c_x  = t_x (loop) ;       % x for nod_per_el line polygon
    c_y  = t_y (loop) ;       % y for nod_per_el line polygon
    plot (c_x, c_y)           % plot nod_per_el lines
    % plot (c_x, c_y, 'ko')     % plot nod_per_el lines

%       loop over n_sec slices of the element
    for k = 1:Less  ;
      k_row = (it - 1)*n_sec + k ;
      k_end = k_row + inc ;
      k_gen (1) = el_sect_xyz_stress (k_row, 4+i_p) ;
      k_gen (2) = el_sect_xyz_stress (k_end, 4+i_p) ;
      force = max (k_gen) ;
      k_gen = k_gen / S_range ;  % -1 to +1 in stress

%     get shaft force rectangle (? polygon ?)
      dx = el_sect_xyz_stress(k_end,2)-el_sect_xyz_stress(k_row,2) ;
      dy = el_sect_xyz_stress(k_end,3)-el_sect_xyz_stress(k_row,3) ;
      L = sqrt(dx*dx + dy*dy) ;
      if ( L > 0.0 ) % can plot
        x_off (1:2) = -dy/L * k_gen (1:2) * Diagonal ;
        y_off (1:2) =  dx/L * k_gen (1:2) * Diagonal ;
        fx (1) = c_x (1) ;  %b el_sect_xyz_stress (k_row, 2) ;
        fx (2) = c_x (2) ; %b el_sect_xyz_stress (k_end, 2) ;
        fx (3) = fx (2) + x_off (2) ;
        fx (4) = fx (1) + x_off (1) ;
        fy (1) = c_y (1) ; %b el_sect_xyz_stress (k_row, 3) ;
        fy (2) = c_y (2) ; %b el_sect_xyz_stress (k_end, 3) ;
        fy (3) = fy (2) + y_off (2) ;
        fy (4) = fy (1) + y_off (1) ;
        fill (fx, fy, force)      % plot force color
        %b if ( it == 11)
          %b disp(force)
          %b disp(L)
          %b disp(x_off)
          %b disp(y_off)
          %b disp(fx)
          %b disp(fy)
        %b end % if
      end % if zero length
    end % for k
%    % plot (c_x, c_y)           % plot nod_per_el lines
  end % for over all elements
  colorbar
 
%    Finish the plots with polygon numbers
  if (inc_e > 0)                     % plot elem number, inclined
    for i = 1:inc_e:nt               % convert to string
      t_text = sprintf ('    %g', i);  % offset # from pt
      text (x_bar(i), y_bar(i), t_text, 'Rotation', 45) % incline
    end % for all polygons
  end % if show labels

%       -depsc -tiff            % for an eps version
  %b print -dpsc frame_stress_plot
  hold off
  %b fprintf ('Created file frame_stress_plot.ps \n')
% end of frame_stress_plot