/usr/share/octave/packages/mapping-1.2.1/wrapTo2Pi.m is in octave-mapping 1.2.1-1+b1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 | ## Copyright (C) 2015 Oscar Monerris Belda
##
## This program 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.
##
## This program 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 this program. If not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{xwrap} =} wrapTo2Pi (@var{x})
##
## Wraps x into the [0 to 2pi] interval
##
## @var{x}: angle in radians (single value, vector or ND matrix).
##
## @var{xwrap}: output value(s) in the range [0 .. 2*pi] radians.
## The interval [0 .. 2*pi] is a closed interval: values equal to
## zero or negative even multiples of pi are mapped to 0, values
## equal to an even multiple of pi are mapped to 2*pi.
##
## Example:
## @example
## wrapTo2Pi ([-2*pi, -pi, 0, pi; 0.1, pi, 4*pi, 5*pi])
## ans =
## 0.00000 3.14159 0.00000 3.14159
## 0.10000 3.14159 6.28319 3.14159
## @end example
##
## @seealso{wrapTo180, wrapTo360, wraptoPi}
## @end deftypefn
function xwrap = wrapTo2Pi(x)
xwrap = rem (x-pi, 2*pi);
idx = find (abs (xwrap) > pi);
xwrap(idx) -= 2*pi * sign (xwrap(idx));
xwrap += pi;
endfunction
%!test
%! x = -9:0.1:9;
%! xw = wrapTo2Pi (x);
%! assert (sin (x), sin (xw), 8 * eps)
%! assert (cos (x), cos (xw), 8 * eps)
%! assert (! any (xw < 0))
%! assert (! any (xw > 2 * pi))
%% Test Matlab compatibility as regards closed interval (esp. left)
%!test
%! assert (wrapTo2Pi ([-2*pi, -pi, 0, pi; 0.1, pi, 4*pi, 5*pi]), ...
%! [0, pi, 0, pi; 0.1, pi, 2*pi, pi], 1e-13);
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