/usr/share/octave/packages/geometry-1.7.0/geom3d/sph2cart2d.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
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
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## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{c} =} sph2cart2d(@var{theta}, @var{phi}, @var{rho})
## @deftypefnx {Function File} {@var{c} =} sph2cart2d(@var{theta}, @var{phi})
## @deftypefnx {Function File} {@var{c} =} sph2cart2d(@var{s})
## @deftypefnx {Function File} {[@var{x},@var{y},@var{z}] =} sph2cart2d(@var{theta}, @var{phi}, @var{rho})
## Convert spherical coordinates to cartesian coordinates in degrees
##
##
## @var{c} = SPH2CART2(@var{theta}, @var{phi}) assumes @var{rho} = 1.
##
## @var{s} = [@var{theta}, @var{phi}, @var{rho}] (spherical coordinate).
## @var{c} = [@var{x},@var{y},@var{z}] (cartesian coordinate)
##
## The following convention is used:
## @var{theta} is the colatitude, in degrees, 0 for north pole, +180 degrees for
## south pole, +90 degrees for points with z=0.
## @var{phi} is the azimuth, in degrees, defined as matlab cart2sph: angle from
## Ox axis, counted counter-clockwise.
## @var{rho} is the distance of the point to the origin.
## Discussion on choice for convention can be found at:
## @url{http://www.physics.oregonstate.edu/bridge/papers/spherical.pdf}
##
## @seealso{angles3d, cart2sph2d, sph2cart2}
## @end deftypefn
function varargout = sph2cart2d(theta, phi, rho)
# Process input arguments
if nargin == 1
phi = theta(:, 2);
if size(theta, 2) > 2
rho = theta(:, 3);
else
rho = ones(size(phi));
end
theta = theta(:, 1);
elseif nargin == 2
rho = ones(size(theta));
end
# conversion
rz = rho .* sind(theta);
x = rz .* cosd(phi);
y = rz .* sind(phi);
z = rho .* cosd(theta);
# Process output arguments
if nargout == 1 || nargout == 0
varargout{1} = [x, y, z];
else
varargout{1} = x;
varargout{2} = y;
varargout{3} = z;
end
endfunction
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