/usr/share/octave/packages/geometry-1.7.0/geom3d/sph2cart2.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
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##
## 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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## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{c} =} sph2cart2 (@var{s})
## @deftypefnx {Function File} {@var{c} =} sph2cart2 (@var{theta}, @var{phi})
## @deftypefnx {Function File} {@var{c} =} sph2cart2 (@var{theta}, @var{phi}, @var{rho})
## @deftypefnx {Function File} {[@var{x} @var{y} @var{z}]=} sph2cart2 (@dots{})
## Convert spherical coordinates to cartesian coordinates
##
## C = SPH2CART2(S)
## C = SPH2CART2(THETA, PHI) (assume rho = 1)
## C = SPH2CART2(THETA, PHI, RHO)
## [X, Y, Z] = SPH2CART2(THETA, PHI, RHO);
##
## S = [phi theta rho] (spherical coordinate).
## C = [X Y Z] (cartesian coordinate)
##
## The following convention is used:
## THETA is the colatitude, in radians, 0 for north pole, +pi for south
## pole, pi/2 for points with z=0.
## PHI is the azimuth, in radians, defined as matlab cart2sph: angle from
## Ox axis, counted counter-clockwise.
## RHO is the distance of the point to the origin.
## Discussion on choice for convention can be found at:
## http://www.physics.oregonstate.edu/bridge/papers/spherical.pdf
##
## @seealso{angles3d, cart2sph2, sph2cart, sph2cart2d}
## @end deftypefn
function varargout = sph2cart2(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 .* sin(theta);
x = rz .* cos(phi);
y = rz .* sin(phi);
z = rho .* cos(theta);
if nargout <= 1
varargout{1} = [x, y, z];
else
varargout{1} = x;
varargout{2} = y;
varargout{3} = z;
end
endfunction
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