Mercurial > octave
view scripts/plot/appearance/__rotate_around_axis__.m @ 29358:0a5b15007766 stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 10 Feb 2021 09:52:15 -0500 |
parents | bd51beb6205e |
children | cf60f8f636f6 |
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######################################################################## ## ## Copyright (C) 2014-2021 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 {} {[@var{xr}, @var{yr}, @var{zr}] =} __rotate_around_axis__ (@var{x}, @var{y}, @var{z}, @var{angle}, @var{dir}, @var{origin}) ## Rotate the points given by X, Y, Z about an axis by ANGLE degrees. ## The axis is specified by the vector DIR and the point ORIGIN. ## @end deftypefn function [xr, yr, zr] = __rotate_around_axis__ (x, y, z, angle, dir, origin) dir /= norm (dir); u = dir(1); v = dir(2); w = dir(3); a = origin(1); b = origin(2); c = origin(3); sa = sind (angle); ca = cosd (angle); 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 endfunction