Mercurial > octave
view scripts/special-matrix/hankel.m @ 31210:9ad55d2e1bbf stable
Make sure we don't pass short 8.3 path to latex on Windows (bug #62779).
* latex-text-renderer.cc (latex_renderer::write_tex_file): On Windows, use
canonicalized path of temporary directory.
author | Pantxo Diribarne <pantxo.diribarne@gmail.com> |
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date | Sun, 28 Aug 2022 22:44:49 +0200 |
parents | 796f54d4ddbf |
children | 5d3faba0342e |
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######################################################################## ## ## Copyright (C) 1993-2022 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 {} {} hankel (@var{c}) ## @deftypefnx {} {} hankel (@var{c}, @var{r}) ## Return the Hankel matrix constructed from the first column @var{c}, and ## (optionally) the last row @var{r}. ## ## If the last element of @var{c} is not the same as the first element of ## @var{r}, the last element of @var{c} is used. If the second argument is ## omitted, it is assumed to be a vector of zeros with the same size as ## @var{c}. ## ## A Hankel matrix formed from an m-vector @var{c}, and an n-vector @var{r}, ## has the elements ## @tex ## $$ ## H(i, j) = \cases{c_{i+j-1},&$i+j-1\le m$;\cr r_{i+j-m},&otherwise.\cr} ## $$ ## @end tex ## @ifnottex ## ## @example ## @group ## H(i,j) = c(i+j-1), i+j-1 <= m; ## H(i,j) = r(i+j-m), otherwise ## @end group ## @end example ## ## @end ifnottex ## @seealso{hadamard, toeplitz} ## @end deftypefn function retval = hankel (c, r) if (nargin < 1) print_usage (); endif if (nargin == 1) if (! isvector (c)) error ("hankel: C must be a vector"); endif nr = length (c); nc = nr; data = [c(:) ; zeros(nr, 1)]; else if (! (isvector (c) && isvector (r))) error ("hankel: C and R must be vectors"); elseif (r(1) != c(end)) warning ("hankel: column wins anti-diagonal conflict"); endif nr = length (c); nc = length (r); data = [c(:) ; r(2:end)(:)]; endif slices = cellslices (data, 1:nc, nr:1:nc+nr-1); retval = horzcat (slices{:}); endfunction %!assert (hankel (1), [1]) %!assert (hankel ([1, 2]), [1, 2; 2, 0]) %!assert (hankel ([1, 2], [2; -1; -3]), [1, 2, -1; 2, -1, -3]) %!assert (hankel (1:3), [1,2,3;2,3,0;3,0,0]) %!assert (hankel (1:3,3:6), [1,2,3,4;2,3,4,5;3,4,5,6]) %!assert (hankel (1:3,3:4), [1,2;2,3;3,4]) %!warning <column wins anti-diagonal conflict> %! assert (hankel (1:3,4:6), [1,2,3;2,3,5;3,5,6]); %!error <Invalid call> hankel () %!error <C must be a vector> hankel ([1, 2; 3, 4]) %!error <C and R must be vectors> hankel (1:4, [1, 2; 3, 4])