/usr/share/octave/packages/geometry-1.7.0/geom2d/normalizeAngle.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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##
## 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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## -*- texinfo -*-
## @deftypefn {Function File} {@var{alpha2} =} normalizeAngle (@var{alpha})
## @deftypefnx {Function File} {@var{alpha2} =} normalizeAngle (@var{alpha}, @var{center})
## Normalize an angle value within a 2*PI interval
##
## ALPHA2 = normalizeAngle(ALPHA);
## ALPHA2 is the same as ALPHA modulo 2*PI and is positive.
##
## ALPHA2 = normalizeAngle(ALPHA, CENTER);
## Specifies the center of the angle interval.
## If CENTER==0, the interval is [-pi ; +pi]
## If CENTER==PI, the interval is [0 ; 2*pi] (default).
##
## Example:
## # normalization between 0 and 2*pi (default)
## normalizeAngle(5*pi)
## ans =
## 3.1416
##
## # normalization between -pi and +pi
## normalizeAngle(7*pi/2, 0)
## ans =
## -1.5708
##
## References
## Follows the same convention as apache commons library, see:
## http://commons.apache.org/math/api-2.2/org/apache/commons/math/util/MathUtils.html##
##
## @seealso{vectorAngle, lineAngle}
## @end deftypefn
function alpha = normalizeAngle(alpha, varargin)
center = pi;
if ~isempty(varargin)
center = varargin{1};
end
alpha = mod(alpha-center+pi, 2*pi) + center-pi;
endfunction
%!assert (pi/2, normalizeAngle (pi/2), 1e-6);
%!assert (pi, normalizeAngle (pi), 1e-6);
%!assert (3*pi/2, normalizeAngle (3*pi/2), 1e-6);
%!assert (pi/2, normalizeAngle (pi/2, pi), 1e-6);
%!assert (pi, normalizeAngle (pi, pi), 1e-6);
%!assert (3*pi/2, normalizeAngle (3*pi/2, pi), 1e-6);
%!test
%! theta = linspace(0, 2*pi-.1, 100);
%! assert(theta, normalizeAngle (theta), 1e-6);
%!assert (0, normalizeAngle (0, 0), 1e-6);
%!assert (pi/2, normalizeAngle (pi/2, 0), 1e-6);
%!assert (-pi, normalizeAngle (-pi, 0), 1e-6);
%!assert (-pi/2, normalizeAngle (7*pi/2, 0), 1e-6);
%!test
%! theta = linspace(-pi+.1, pi-.1, 100);
%! assert(theta, normalizeAngle (theta, 0), 1e-6);
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