## Copyright (C) 2009 Kai Habel
##
## 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} {} diffuse (@var{sx}, @var{sy}, @var{sz}, @var{l})
## Calculate diffuse reflection strength of a surface defined by the normal
## vector elements @var{sx}, @var{sy}, @var{sz}. 
## The light vector can be specified using parameter @var{L}. It can be
## given as 2-element vector [azimuth, elevation] in degrees or as 3-element
## vector [lx, ly, lz]. 
## @seealso{specular, surfl}
## @end deftypefn

## Author: Kai Habel <kai.habel@gmx.de>

function retval = diffuse (sx, sy, sz, lv)

  ## general checks
  if (nargin != 4)
    usage ("number of arguments must be 4")
  endif

  ## check for normal vector
  if (!size_equal (sx, sy, sz))
    usage ("SX, SY, and SZ must have same size")
  endif
  
  ## check for light vector (lv) argument
  if (length (lv) < 2 || length (lv) > 3)
    usage ("light vector LV must be a 2- or 3-element vector");
  elseif (length (lv) == 2)
    [lv(1), lv(2), lv(3)] = sph2cart (lv(1) * pi/180, lv(2) * pi/180, 1.0);
  endif

  ## normalize view and light vector
  if (sum (abs (lv)) > 0)
    lv  /= norm (lv);
  endif

  ns = sqrt (sx.^2 + sy.^2 + sz.^2);
  retval = (sx * lv(1) + sy * lv(2) + sz * lv(3)) ./ ns;
  retval(retval < 0) = 0;
  
endfunction