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improved surface: supporting functions


From: Kai Habel
Subject: improved surface: supporting functions
Date: Sun, 04 Nov 2007 23:07:51 +0100
User-agent: Thunderbird 2.0.0.6 (X11/20070801)

Hello,

here are the graphic functions which use the improved surface graphic
objects.

* shading.m
* surface.m
* surf.m
* mesh.m
* pcolor.m

Kai
## Copyright (C) 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2002, 2004,
##               2005, 2006, 2007 John W. Eaton
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 3 of the License, or (at
## your option) any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING.  If not, see
## <http://www.gnu.org/licenses/>.

## -*- texinfo -*-
## @deftypefn {Function File} {} mesh (@var{x}, @var{y}, @var{z})
## Plot a mesh given matrices @var{x}, and @var{y} from @code{meshgrid} and
## a matrix @var{z} corresponding to the @var{x} and @var{y} coordinates of
## the mesh.  If @var{x} and @var{y} are vectors, then a typical vertex
## is (@var{x}(j), @var{y}(i), @var{z}(i,j)).  Thus, columns of @var{z}
## correspond to different @var{x} values and rows of @var{z} correspond
## to different @var{y} values.
## @seealso{meshgrid, contour}
## @end deftypefn

## Author: jwe

function h = mesh (varargin)

  newplot ();

  tmp = surface (varargin{:});
  ax = get(tmp, "parent");
  set (tmp, "FaceColor", "none");
  set (tmp, "EdgeColor", "flat");
  set (ax, "view", [-37.5, 30]);
  if (nargout > 0)
    h = tmp;
  endif

endfunction
## Copyright (C) 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2002, 2004,
##               2005, 2006, 2007 John W. Eaton
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 3 of the License, or (at
## your option) any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING.  If not, see
## <http://www.gnu.org/licenses/>.

## -*- texinfo -*-
## @deftypefn {Function File} {} pcolor (@var{x}, @var{y}, @var{c})
## @deftypefnx {Function File} {} pcolor (@var{c})
## Density plot for given matrices @var{x}, and @var{y} from @code{meshgrid} and
## a matrix @var{c} corresponding to the @var{x} and @var{y} coordinates of
## the mesh.  If @var{x} and @var{y} are vectors, then a typical vertex
## is (@var{x}(j), @var{y}(i), @var{c}(i,j)).  Thus, columns of @var{c}
## correspond to different @var{x} values and rows of @var{c} correspond
## to different @var{y} values.
## @seealso{meshgrid, contour}
## @end deftypefn

## Author: jwe

function h = pcolor (x,y,c)

  newplot ();

  if (nargin == 1)
    C = x;
    Z = zeros(size(C));
    [nr, nc] = size(C);
    [X, Y] = meshgrid(1:nr, 1:nc);
  elseif (nargin == 3)
    Z = zeros(size(C));
  else
    print_usage();
  end;


  tmp = surface (X,Y,Z,C);
  ax = get(tmp, "parent");
  set (tmp, "FaceColor", "flat");
  set (ax, "view", [0, 90]);
  if (nargout > 0)
    h = tmp;
  endif

endfunction
## Copyright (C) 2006,2007  Kai Habel
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2, or (at your option)
## any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING.  If not, write to the Free
## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
## 02110-1301, USA.

## -*- texinfo -*-
## @deftypefn {Function File}  shading (@var{type})
## @deftypefnx {Function File}  shading (@var{ax}, ...)
##
## Sets the shading of surface or patch graphic objects. Valid arguments for
## @var{type} are "flat", "interp", or "faceted".
## If @var{ax} is given the shading is applied to axis @var{ax} instead of the 
## current axis.
##
## @example
## shading ("interp")
## @end example
##
## @end deftypefn

function shading(ax, mode)

  if (nargin == 1)
    mode = ax;
    ax = gca();
  end

  if ((nargin !=1 ) && (nargin != 2))
    print_usage();
  end

  obj = findobj(ax,"Type","patch");
  obj = [obj; findobj(ax,"Type","surface")];

  for n = 1 : length(obj)
    h = obj(n); 
    if strcmp(mode, "flat") 
      set(h,"FaceColor","flat");
      set(h,"EdgeColor","none");
    elseif strcmp(mode,"interp")
      set(h,"FaceColor","interp");
      set(h,"EdgeColor","none");
    elseif strcmp(mode,"faceted")
      set(h,"FaceColor","flat");
      set(h,"EdgeColor",[0 0 0]);
    else
      error("unknown argument")
    endif
  endfor
  drawnow
endfunction
## Copyright (C) 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2002, 2004,
##               2005, 2006, 2007 John W. Eaton
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 3 of the License, or (at
## your option) any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING.  If not, see
## <http://www.gnu.org/licenses/>.

## -*- texinfo -*-
## @deftypefn {Function File} {} surf (@var{x}, @var{y}, @var{z})
## Plot a surface given matrices @var{x}, and @var{y} from @code{meshgrid} and
## a matrix @var{z} corresponding to the @var{x} and @var{y} coordinates of
## the mesh.  If @var{x} and @var{y} are vectors, then a typical vertex
## is (@var{x}(j), @var{y}(i), @var{z}(i,j)).  Thus, columns of @var{z}
## correspond to different @var{x} values and rows of @var{z} correspond
## to different @var{y} values.
## @seealso{mesh, surface}
## @end deftypefn

## Author: jwe

function h = surf (varargin)

  newplot ();

  tmp = surface (varargin{:});
  ax = get(tmp, "parent");
  set (tmp, "FaceColor", "flat");
  set (ax, "view", [-37.5, 30]);
  if (nargout > 0)
    h = tmp;
  endif

endfunction
## Copyright (C) 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2002, 2004,
##               2005, 2006, 2007 John W. Eaton
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 3 of the License, or (at
## your option) any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING.  If not, see
## <http://www.gnu.org/licenses/>.

## -*- texinfo -*-
## @deftypefn {Function File} @var{h} = {} surface (@var{x}, @var{y}, @var{z}, 
@var{c})
## @deftypefnx {Function File} @var{h} = {} surface (@var{x}, @var{y}, @var{z})
## Plot a surface graphic object given matrices @var{x}, and @var{y} from 
@code{meshgrid} and
## a matrix @var{z} corresponding to the @var{x} and @var{y} coordinates of
## the surface.  If @var{x} and @var{y} are vectors, then a typical vertex
## is (@var{x}(j), @var{y}(i), @var{z}(i,j)).  Thus, columns of @var{z}
## correspond to different @var{x} values and rows of @var{z} correspond
## to different @var{y} values.
## @seealso{surf, mesh, patch, line}
## @end deftypefn

## Author: jwe

function h = surface (x, y, z, c)

  ax = gca();

  if (nargin == 1)
    c = z = x;
    if (ismatrix (z))
      [nr, nc] = size (z);
      x = 1:nc;
      y = (1:nr)';
    else
      error ("surface: argument must be a matrix");
    endif
  elseif (nargin == 3)
    if (isvector (x) && isvector (y) && ismatrix (z))
      if (rows (z) == length (y) && columns (z) == length (x))
        x = x(:)';
        y = y(:);
      else
        msg = "surface: rows (z) must be the same as length (y) and";
        msg = sprintf ("%s\ncolumns (z) must be the same as length (x)", msg);
        error (msg);
      endif
    elseif (ismatrix (x) && ismatrix (y) && ismatrix (z))
      if (! (size_equal (x, y) && size_equal (x, z)))
        error ("surface: x, y, and z must have same dimensions");
      endif
      c = z;
    else
      error ("surface: x and y must be vectors and z must be a matrix");
    endif
  elseif (nargin == 4)
    if !(size_equal (z, c))
      error ("surface: z and c must have same size");
    endif
    if (isvector (x) && isvector (y) && ismatrix (z))
      if (rows (z) == length (y) && columns (z) == length (x))
        x = x(:)';
        y = y(:);
      else
        msg = "surface: rows (z) must be the same as length (y) and";
        msg = sprintf ("%s\ncolumns (z) must be the same as length (x)", msg);
        error (msg);
      endif
    elseif (ismatrix (x) && ismatrix (y) && ismatrix (z))
      if (! (size_equal (x, y) && size_equal (x, z)))
        error ("surface: x, y, and z must have same dimensions");
      endif
    else
      error ("surface: x and y must be vectors and z must be a matrix");
    endif
  else
    print_usage ();
  endif

  ## make a default surface object
  tmp = __go_surface__ (ax, "xdata", x, "ydata", y, "zdata", z, "cdata", c);

  set (ax, "view", [0, 90], "box", "off");
  set (tmp, "FaceColor","flat");

  if (nargout > 0)
    h = tmp;
  endif

endfunction

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