/usr/share/octave/packages/geometry-1.7.0/geom2d/createScaling.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.
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## -*- texinfo -*-
## @deftypefn {Function File} {@var{T} = } createScaling (@var{s})
## @deftypefnx {Function File} {@var{T} = } createScaling (@var{sx}, @var{sy})
## Create the 3x3 matrix of a scaling in 2 dimensions.
#
# Assume scaling @var{s} is equal n all directions unless @var{sx} and @var{sy} are given.
# Returns the matrix corresponding to scaling in the 2 main directions.
# The returned matrix has the form:
# [SX 0 0]
# [0 SY 0]
# [0 0 1]
#
# @seealso{transforms2d, transformPoint, createTranslation, createRotation}
## @end deftypefn
function trans = createScaling(varargin)
# defined default arguments
sx = 1;
sy = 1;
cx = 0;
cy = 0;
# process input arguments
if length(varargin)==1
# the argument is either the scaling factor in both direction,
# or a 1x2 array containing scaling factor in each direction
var = varargin{1};
sx = var(1);
sy = var(1);
if length(var)>1
sy = var(2);
end
elseif length(varargin)==2
# the 2 arguments are the scaling factors in each dimension
sx = varargin{1};
sy = varargin{2};
elseif length(varargin)==3
# first argument is center, 2nd and 3d are scaling factors
center = varargin{1};
cx = center(1);
cy = center(2);
sx = varargin{2};
sy = varargin{3};
end
# create result matrix
trans = [sx 0 cx*(1-sx); 0 sy cy*(1-sy); 0 0 1];
endfunction
%!test
%! trans = createScaling(2);
%! assert (trans, [2 0 0;0 2 0;0 0 1], 1e-6);
%!test
%! trans = createScaling(2, 3);
%! assert (trans, [2 0 0;0 3 0;0 0 1], 1e-6);
%!test
%! trans = createScaling([2 3]);
%! assert (trans, [2 0 0;0 3 0;0 0 1], 1e-6);
%!test
%! sx = 2;
%! sy = 3;
%! p0 = [4 5];
%! trans1 = createScaling(p0, sx, sy);
%! t1 = createTranslation(-p0);
%! sca = createScaling(sx, sy);
%! t2 = createTranslation(p0);
%! trans2 = t2*sca*t1;
%! assert (trans1, trans2, 1e-6);
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