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Diffstat (limited to 'inst/antipode.m')
-rw-r--r-- | inst/antipode.m | 77 |
1 files changed, 77 insertions, 0 deletions
diff --git a/inst/antipode.m b/inst/antipode.m new file mode 100644 index 0000000..1476693 --- /dev/null +++ b/inst/antipode.m @@ -0,0 +1,77 @@ +## Copyright (C) 2017-2020 Philip Nienhuis +## +## 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 {} {@var{lat_o, lon_o} =} antipode (@var{lat_i}, @var{lon_i}) +## @deftypefnx {} {@var{lat_o, lon_o} =} antipode (@var{lat_i}, @var{lon_i}, @var{unit}) +## Compute antipode (opposite point on globe). +## +## @var{lat_i} and @var{lon_i} (numeric values) are input latitude and +## longitude, optionally vectors. +## +## Optional character argument @var{unit} (case-insensitive) can be one +## of 'Degrees' or 'Radians' and can be used to specify the input +## units. Just 'd' or 'r' will do. +## +## @end deftypefn + +## Author: Philip Nienhuis <pr.nienhuis@users.sf.net> +## Created: 2017-03-02 + +function [lato, lono] = antipode (lati, loni, unit="") + + if (nargin < 2 || nargout < 2) + print_usage (); + elseif (! isnumeric (lati) || ! isnumeric (loni)) + error ("antipode: numeric arguments expected for latitude and longitude\n"); + elseif (! ischar (unit)) + error ("antipode: character argument expected for lat/lon unit\n"); + elseif (nargin >= 3 && ! ismember (lower (unit(1)), {"d", "r"})) + error ("antipode: units must be one of 'Degrees' of 'Radians'"); + endif + + if (strncmpi (unit, "r", 1)) + convfac = 180.0 / pi; + lati *= convfac; + loni *= convfac; + endif + lato = -abs (180.0 - wrapTo360 (lati - 90.0)) + 90.0; + lono = wrapTo180 (loni + 180); + if (strncmpi (unit, "r", 1)) + lato /= convfac; + lono /= convfac; + endif + +endfunction + +%!test +%! [lato, lono] = antipode (90, 0); +%! assert ([lato, lono], [-90, 180], eps); + +%!test +%! [lato, lono] = antipode (43, 15); +%! assert ([lato, lono], [-43, -165], eps); + +%!test +%! [lato, lono] = antipode ([-365; -360; -315; -270; -225; -185; -180; -135; -90; -45; 0; 45; 90; 135; 180; 225; 270; 315; 360], ... +%! [-361; -359; -315; -270; -225; -185; -180; -135; -90; -45; 0; 45; 90; 135; 180; 225; 270; 315; 360]); +%! assert ([lato, lono], [[5; 0; -45; -90; -45; -5; 0; 45; 90; 45; 0; -45; -90; -45; 0; 45; 90; 45; 0], ... +%! [179; -179; -135; -90; -45; -5; 0; 45; 90; 135; 180; -135; -90; -45; 0; 45; 90; 135; 180]], eps); + +%!error <numeric argument> [a, b] = antipode ("a", 1); +%!error <Invalid call> a = antipode (0, 0); +%!error <Invalid call> [a, b] = antipode (0); +%!error <character argument expected> [a, b] = antipode (0, 0, 0); +%!error <units must be one> [a, b] = antipode (0, 0, "a"); |