/usr/share/octave/packages/geometry-1.7.0/geom3d/cart2cyl.m is in octave-geometry 1.7.0-1build1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 | ## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## 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
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## 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{cyl} =} cart2cyl (@var{point})
## @deftypefnx {Function File} {@var{cyl} =} cart2cyl (@var{x}, @var{y}, @var{z})
## Convert cartesian to cylindrical coordinates
##
## CYL = cart2cyl(POINT)
## convert the 3D cartesian coordinates of points POINT (given by [X Y Z]
## where X, Y, Z have the same size) into cylindrical coordinates CYL,
## given by [THETA R Z].
## THETA is the arctangent of the ratio Y/X (between 0 and 2*PI)
## R can be computed using sqrt(X^2+Y^2)
## Z keeps the same value.
## The size of THETA, and R is the same as the size of X, Y and Z.
##
## CYL = cart2cyl(X, Y, Z)
## provides coordinates as 3 different parameters
##
## Example
## @example
## cart2cyl([-1 0 2])
## gives : 4.7124 1.0000 2.0000
## @end example
##
## @seealso{agles3d, cart2pol, cart2sph2}
## @end deftypefn
function varargout = cart2cyl(varargin)
# process input parameters
if length(varargin)==1
var = varargin{1};
x = var(:,1);
y = var(:,2);
z = var(:,3);
elseif length(varargin)==3
x = varargin{1};
y = varargin{2};
z = varargin{3};
end
# convert coordinates
dim = size(x);
theta = reshape(mod(atan2(y(:), x(:))+2*pi, 2*pi), dim);
r = reshape(sqrt(x(:).*x(:) + y(:).*y(:)), dim);
# process output parameters
if nargout==0 ||nargout==1
if length(dim)>2 || dim(2)>1
varargout{1} = {theta r z};
else
varargout{1} = [theta r z];
end
elseif nargout==3
varargout{1} = theta;
varargout{2} = r;
varargout{3} = z;
end
endfunction
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