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## Copyright (C) 2014-2022 Carnë Draug <carandraug@octave.org>
##
## 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; see the file COPYING. If not, see
## <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {} dms2degrees (@var{dms})
## Convert degrees, and minutes components into decimal degrees.
##
## @var{dms} must be a 3 column matrix with one row per angle, and each
## column correspoding to its degrees (an integer), minutes (a less than
## 60 integer, and seconds (a less than 60 value, possibly fractional)
## components.
##
## The sign of the angle must be defined on its first non-zero component only,
## i.e., if an angle is negative, the seconds component must be positive
## unless both minutes and degrees are zero, and the minutes component
## must be positive unless the degrees component is zero.
##
## @seealso{degrees2dm, degree2dms, dm2degrees}
## @end deftypefn
## Author: Carnë Draug <carandraug@octave.org>
function deg = dms2degrees (dms)
if (nargin != 1)
print_usage ();
elseif (! isnumeric (dms) || ndims (dms) != 2 || columns (dms) != 3)
error ("dms2degrees: DMS must be a numeric matrix with 3 columns");
elseif (any (fix (dms(:,1)) != dms(:,1)))
error ("dms2degrees: degrees component (first column) must be an integer");
elseif (any (dms(:,2) >= 60))
error ("dms2degrees: minutes component (second column) must be less than 60");
elseif (any (dms(:,3) >= 60))
error ("dms2degrees: seconds component (third column) must be less than 60");
endif
## join the degrees and minutes parts
adms = abs (dms);
deg = sum ([adms(:,1) adms(:,2)/60 adms(:,3)/3600], 2);
## change the sign if any part is negative and check that negative
## sign is present on the first non-zero part only
negs = dms < 0;
nnz_d = dms(:,1) != 0;
nnz_m = dms(:,2) != 0;
if (any ((nnz_d | nnz_m) & negs(:,3)))
error ("dms2degrees: second must be positive if degree or minute is non-zero");
elseif (any (nnz_d & negs(:,2)))
error ("dms2degrees: minute must be positive if degree is non-zero");
endif
deg(any (negs, 2)) *= -1;
endfunction
%!test
%! hs = 0.5/60;
%! deg = [ 10 10.5 -10.5 -10 -0.5 0.5 hs 0 -1/60 ]' + hs;
%! dms = [ 10 0 30
%! 10 30 30
%! -10 29 30
%! -9 59 30
%! 0 -29 30
%! 0 30 30
%! 0 1 0
%! 0 0 30
%! 0 0 -30];
%! for i = 1:rows (dms)
%! assert (dms2degrees (dms(i,:)), deg(i), 2*10^-15);
%! endfor
%! assert (dms2degrees (dms), deg, eps*10);
%! assert (dms2degrees (single (dms)), single (deg), 3*10^-8);
%!error <less than 60> dms2degrees ([5 40 60])
%!error <less than 60> dms2degrees ([5 40 61])
%!error <3 columns> dms2degrees ([5 50])
%!error <must be positive> dms2degrees ([5 -40 9])
%!error <must be positive> dms2degrees ([-5 -40 9])
%!error <must be positive> dms2degrees ([0 -40 -9])
%!error <3 columns> dms2degrees (rand (7, 3, 3))
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