/usr/share/octave/packages/geometry-1.7.0/geom2d/polarPoint.m is in octave-geometry 1.7.0-1build1.
This file is owned by root:root, with mode 0o644.
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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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##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{point} = } polarPoint (@var{rho}, @var{theta})
## @deftypefnx {Function File} {@var{point} = } polarPoint (@var{theta})
## @deftypefnx {Function File} {@var{point} = } polarPoint (@var{point}, @var{rho}, @var{theta})
## @deftypefnx {Function File} {@var{point} = } polarPoint (@var{x0}, @var{y0}, @var{rho}, @var{theta})
##Create a point from polar coordinates (rho + theta)
##
## Creates a point using polar coordinate. @var{theta} is angle with horizontal
## (counted counter-clockwise, and in radians), and @var{rho} is the distance to
## origin. If only angle is given radius @var{rho} is assumed to be 1.
##
## If a point is given, adds the coordinate of the point to the coordinate of the specified
## point. For example, creating a point with :
## P = polarPoint([10 20], 30, pi/2);
## will give a result of [40 20].
##
## @seealso{points2d}
## @end deftypefn
function point = polarPoint(varargin)
# default values
x0 = 0; y0=0;
rho = 1;
theta =0;
# process input parameters
if length(varargin)==1
theta = varargin{1};
elseif length(varargin)==2
rho = varargin{1};
theta = varargin{2};
elseif length(varargin)==3
var = varargin{1};
x0 = var(:,1);
y0 = var(:,2);
rho = varargin{2};
theta = varargin{3};
elseif length(varargin)==4
x0 = varargin{1};
y0 = varargin{2};
rho = varargin{3};
theta = varargin{4};
end
point = [x0 + rho.*cos(theta) , y0+rho.*sin(theta)];
endfunction
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