/usr/share/octave/packages/geometry-1.7.0/geom3d/createScaling3d.m is in octave-geometry 1.7.0-1build1.
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## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
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## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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## -*- texinfo -*-
## @deftypefn {Function File} {@var{trans} =} createScaling3d (@var{s})
## @deftypefnx {Function File} {@var{trans} =} createScaling3d (@var{sx}, @var{sy}, @var{sz})
## Create the 4x4 matrix of a 3D scaling
##
## TRANS = createScaling3d(S);
## returns the scaling transform corresponding to a scaling factor S in
## each direction. S can be a scalar, or a 1x3 vector containing the
## scaling factor in each direction.
##
## TRANS = createScaling3d(SX, SY, SZ);
## returns the scaling transform corresponding to a different scaling
## factor in each direction.
##
## The returned matrix has the form :
## @group
## [SX 0 0 0]
## [ 0 SY 0 0]
## [ 0 0 SZ 0]
## [ 0 0 0 0]
## @end group
##
## @seealso{transforms3d, transformPoint3d, transformVector3d, createTranslation3d,
## createRotationOx, createRotationOy, createRotationOz}
## @end deftypefn
function trans = createScaling3d(varargin)
# process input parameters
if isempty(varargin)
# assert uniform scaling in each direction
sx = 1;
sy = 1;
sz = 1;
elseif length(varargin)==1
# only one argument
var = varargin{1};
if length(var)==1
# same scaling factor in each direction
sx = var;
sy = var;
sz = var;
elseif length(var)==3
# scaling is a vector, giving different scaling in each direction
sx = var(1);
sy = var(2);
sz = var(3);
else
error('wrong size for first parameter of "createScaling3d"');
end
elseif length(varargin)==3
# 3 arguments, giving scaling in each direction
sx = varargin{1};
sy = varargin{2};
sz = varargin{3};
else
error('wrong number of arguments for "createScaling3d"');
end
# create the scaling matrix
trans = [sx 0 0 0;0 sy 0 0;0 0 sz 0;0 0 0 1];
endfunction
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