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########################################################################
##
## Copyright (C) 2014-2022 The Octave Project Developers
##
## See the file COPYRIGHT.md in the top-level directory of this
## distribution or <https://octave.org/copyright/>.
##
## This file is part of Octave.
##
## Octave 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.
##
## Octave 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 Octave; see the file COPYING. If not, see
## <https://www.gnu.org/licenses/>.
##
########################################################################
## -*- texinfo -*-
## @deftypefn {} {} rotate (@var{h}, @var{direction}, @var{alpha})
## @deftypefnx {} {} rotate (@dots{}, @var{origin})
## Rotate the plot object @var{h} through @var{alpha} degrees around the line
## with direction @var{direction} and origin @var{origin}.
##
## The default value of @var{origin} is the center of the axes object that is
## the parent of @var{h}.
##
## If @var{h} is a vector of handles, they must all have the same parent axes
## object.
##
## Graphics objects that may be rotated are lines, surfaces, patches, and
## images.
## @end deftypefn
function rotate (h, direction, alpha, origin)
## Note in doc string about compatibility issues with calculation of
## default origin due to possible differences in the auto-scaling
## algorithm between Octave and Matlab.
if (nargin < 3)
print_usage ();
endif
is_h = ishghandle (h);
if (is_h)
ax_list = get (h, "parent");
if (iscell (ax_list))
ax_list = cell2mat (ax_list);
endif
if (ax_list == ax_list(1))
ax = ax_list(1);
else
error ("rotate: all handles must be children of the same axes object");
endif
else
error ("rotate: H must be an array of one or more graphics handles");
endif
if (! (isnumeric (direction) && numel (direction) == 3))
error ("rotate: invalid DIRECTION");
endif
if (! (isnumeric (alpha) && isscalar (alpha)))
error ("rotate: invalid rotation angle");
endif
t = get (h, "type");
is_image = strcmp (t, "image");
is_line = strcmp (t, "line");
is_patch = strcmp (t, "patch");
is_surface = strcmp (t, "surface");
if (! all (is_image | is_line | is_patch | is_surface))
error ("rotate: expecting image, line, patch, or surface objects");
endif
if (nargin == 4)
if (! (isnumeric (origin) && numel (origin) == 3))
error ("rotate: invalid ORIGIN");
endif
else
## Should Z limit be considered when computing origin?
use_zlim = any (is_patch | is_surface);
if (! use_zlim && any (is_line))
idx = find (is_line)';
for i = idx
if (! isempty (get (h(i), "zdata")))
use_zlim = true;
break;
endif
endfor
endif
xlim = get (ax, "xlim");
ylim = get (ax, "ylim");
a = (xlim(1) + xlim(2)) / 2;
b = (ylim(1) + ylim(2)) / 2;
if (use_zlim)
zlim = get (ax, "zlim");
c = (zlim(1) + zlim(2)) / 2;
else
c = 0;
endif
origin = [a, b, c];
endif
direction /= norm (direction);
u = direction(1);
v = direction(2);
w = direction(3);
a = origin(1);
b = origin(2);
c = origin(3);
sa = sind (alpha);
ca = cosd (alpha);
for i = 1:numel (h)
x = get (h(i), "xdata");
y = get (h(i), "ydata");
if (is_image(i))
z = zeros (size (x));
else
z = get (h(i), "zdata");
if (isempty (z))
z = zeros (size (x));
elseif (isvector (x) && isvector (y) && ! isvector (z))
[x, y] = meshgrid (x, y);
endif
endif
if (a == 0 && b == 0 && c == 0)
tmp = (u*x + v*y + w*z) * (1 - ca);
xr = u*tmp + x*ca + (-w*y + v*z)*sa;
yr = v*tmp + y*ca + (w*x - u*z)*sa;
zr = w*tmp + z*ca + (-v*x + u*y)*sa;
else
one_m_ca = 1 - ca;
tmp = u*x + v*y + w*z;
xr = ((a*(v^2 + w^2) - u*(b*v + c*w - tmp))*one_m_ca
+ x*ca + (-c*v + b*w - w*y + v*z)*sa);
yr = ((b*(u^2 + w^2) - v*(a*u + c*w - tmp))*one_m_ca
+ y*ca + (c*u - a*w + w*x - u*z)*sa);
zr = ((c*(u^2 + v^2) - w*(a*u + b*v - tmp))*one_m_ca
+ z*ca + (-b*u + a*v - v*x + u*y)*sa);
endif
set (h(i), "xdata", xr, "ydata", yr);
if (! is_image(i))
set (h(i), "zdata", zr);
endif
endfor
endfunction
## Test input validation
%!shared h1, h2, o1, o2, o3
%! h1 = figure ("visible", "off");
%! o1 = line ();
%! h2 = figure ("visible", "off");
%! o2 = line ();
%! o3 = text (0, 0, "foobar");
%!error <Invalid call> rotate ()
%!error <Invalid call> rotate (o1)
%!error <Invalid call> rotate (o1, [0,0,0])
%!error <all handles must be children of the same axes object> rotate ([o1, o2], [0,0,0], 90)
%!error <invalid DIRECTION> rotate (o1, "foo", 90)
%!error <invalid rotation angle> rotate (o1, [0,0,0], "foo")
%!error <invalid ORIGIN> rotate (o1, [0,0,0], 90, "foo")
%!error rotate (o1, [0,0,0], 90, [0,0,0], 1)
%!error <H must be an array of one or more graphics handles> rotate (NaN, [0,0,0], 90)
%!error <expecting image, line, patch, or surface objects> rotate (o3, [0,0,0], 90)
%!test
%! close (h1);
%! close (h2);
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