/usr/share/octave/packages/geometry-1.7.0/geom3d/cart2sph2.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{theta} @var{phi} @var{rho}] =} cart2sph2([@var{x} @var{y} @var{z}])
## @deftypefnx {Function File} {[@var{theta} @var{phi} @var{rho}] =} cart2sph2(@var{x}, @var{y}, @var{z})
## Convert cartesian coordinates to spherical coordinates
##
## The following convention is used:
## @var{theta} is the colatitude, in radians, 0 for north pole, +pi for south
## pole, pi/2 for points with z=0.
## @var{phi} is the azimuth, in radians, 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}
##
## Example:
## @example
## cart2sph2([1 0 0]) returns [pi/2 0 1];
## cart2sph2([1 1 0]) returns [pi/2 pi/4 sqrt(2)];
## cart2sph2([0 0 1]) returns [0 0 1];
## @end example
##
## @seealso{angles3d, sph2cart2, cart2sph, cart2sph2d}
## @end deftypefn
function varargout = cart2sph2(varargin)
if length(varargin)==1
var = varargin{1};
elseif length(varargin)==3
var = [varargin{1} varargin{2} varargin{3}];
end
if size(var, 2)==2
var(:,3)=1;
end
[p t r] = cart2sph(var(:,1), var(:,2), var(:,3));
if nargout == 1 || nargout == 0
varargout{1} = [pi/2-t p r];
elseif nargout==2
varargout{1} = pi/2-t;
varargout{2} = p;
else
varargout{1} = pi/2-t;
varargout{2} = p;
varargout{3} = r;
end
endfunction
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