octave-antonio: scripts/special-matrix/hadamard.m annotate

annotate scripts/special-matrix/hadamard.m @ 20162:2645f9ef8c88 stable

doc: Update more docstrings to have one sentence summary as first line. Reviewed specfun, special-matrix, testfun, and time script directories. * scripts/specfun/expint.m, scripts/specfun/isprime.m, scripts/specfun/legendre.m, scripts/specfun/primes.m, scripts/specfun/reallog.m, scripts/specfun/realsqrt.m, scripts/special-matrix/gallery.m, scripts/special-matrix/hadamard.m, scripts/special-matrix/hankel.m, scripts/special-matrix/hilb.m, scripts/special-matrix/invhilb.m, scripts/special-matrix/magic.m, scripts/special-matrix/pascal.m, scripts/special-matrix/rosser.m, scripts/special-matrix/toeplitz.m, scripts/special-matrix/vander.m, scripts/special-matrix/wilkinson.m, scripts/testfun/assert.m, scripts/testfun/demo.m, scripts/testfun/example.m, scripts/testfun/fail.m, scripts/testfun/rundemos.m, scripts/testfun/runtests.m, scripts/testfun/speed.m, scripts/time/asctime.m, scripts/time/calendar.m, scripts/time/clock.m, scripts/time/ctime.m, scripts/time/datenum.m, scripts/time/datestr.m, scripts/time/datevec.m, scripts/time/etime.m, scripts/time/is_leap_year.m, scripts/time/now.m, scripts/time/weekday.m: Update more docstrings to have one sentence summary as first line.

author	Rik <rik@octave.org>
date	Sun, 03 May 2015 17:00:11 -0700
parents	4197fc428c7d
children

rev	line source
19697 4197fc428c7d maint: Update copyright notices for 2015. John W. Eaton <jwe@octave.org> parents: 17744 diff changeset	1 ## Copyright (C) 1993-2015 Paul Kienzle
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	2 ##
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	3 ## This file is part of Octave.
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	4 ##
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	5 ## Octave is free software; you can redistribute it and/or modify it
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	6 ## under the terms of the GNU General Public License as published by
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6516 diff changeset	7 ## the Free Software Foundation; either version 3 of the License, or (at
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6516 diff changeset	8 ## your option) any later version.
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	9 ##
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	10 ## Octave is distributed in the hope that it will be useful, but
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	13 ## General Public License for more details.
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	14 ##
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	15 ## You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6516 diff changeset	16 ## along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6516 diff changeset	17 ## <http://www.gnu.org/licenses/>.
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	18 ##
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	19 ## Original version by Paul Kienzle distributed as free software in the
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	20 ## public domain.
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	21
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	22 ## -- texinfo --
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	23 ## @deftypefn {Function File} {} hadamard (@var{n})
20162 2645f9ef8c88 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	24 ## Construct a Hadamard matrix (@nospell{Hn}) of size @var{n}-by-@var{n}.
2645f9ef8c88 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	25 ##
2645f9ef8c88 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	26 ## The size @var{n} must be of the form @math{2^k * p} in which p is one of
2645f9ef8c88 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	27 ## 1, 12, 20 or 28. The returned matrix is normalized, meaning
2645f9ef8c88 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	28 ## @w{@code{Hn(:,1) == 1}} and @w{@code{Hn(1,:) == 1}}.
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	29 ##
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	30 ## Some of the properties of Hadamard matrices are:
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	31 ##
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	32 ## @itemize @bullet
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	33 ## @item
12639 4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	34 ## @code{kron (Hm, Hn)} is a Hadamard matrix of size @var{m}-by-@var{n}.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10791 diff changeset	35 ##
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	36 ## @item
12639 4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	37 ## @code{Hn * Hn' = @var{n} * eye (@var{n})}.
4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	38 ##
4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	39 ## @item
4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	40 ## The rows of @nospell{Hn} are orthogonal.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10791 diff changeset	41 ##
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	42 ## @item
12639 4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	43 ## @code{det (@var{A}) <= abs (det (Hn))} for all @var{A} with
4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	44 ## @w{@code{abs (@var{A}(i, j)) <= 1}}.
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10791 diff changeset	45 ##
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	46 ## @item
12639 4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	47 ## Multiplying any row or column by -1 and the matrix will remain a Hadamard
4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	48 ## matrix.
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	49 ## @end itemize
12639 4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter. Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	50 ## @seealso{compan, hankel, toeplitz}
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	51 ## @end deftypefn
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	52
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	53
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	54 ## Reference [1] contains a list of Hadamard matrices up to n=256.
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	55 ## See code for h28 in hadamard.m for an example of how to extend
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	56 ## this function for additional p.
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	57 ##
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	58 ## References:
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	59 ## [1] A Library of Hadamard Matrices, N. J. A. Sloane
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	60 ## http://www.research.att.com/~njas/hadamard/
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	61
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	62 function h = hadamard (n)
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	63
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	64 if (nargin != 1)
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	65 print_usage ();
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	66 endif
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	67
8507 cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	68 ## Find k if n = 2^k*p.
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	69 k = 0;
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	70 while (n > 1 && fix (n/2) == n/2)
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	71 k++;
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	72 n /= 2;
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	73 endwhile
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	74
8507 cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	75 ## Find base hadamard.
cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	76 ## Except for n=2^k, need a multiple of 4.
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	77 if (n != 1)
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	78 k -= 2;
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	79 endif
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	80
8507 cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	81 ## Trigger error if not a multiple of 4.
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	82 if (k < 0)
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	83 n =- 1;
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	84 endif
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	85
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	86 switch (n)
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	87 case 1
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	88 h = 1;
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	89 case 3
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	90 h = h12 ();
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	91 case 5
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	92 h = h20 ();
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	93 case 7
13913 521adfd775be hadamard.m: Fix failing %!tests Rik <octave@nomad.inbox5.com> parents: 13893 diff changeset	94 h = h28 ();
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	95 otherwise
11472 1740012184f9 Use uppercase for variable names in error() strings to match Info documentation. Only m-files done. Rik <octave@nomad.inbox5.com> parents: 10821 diff changeset	96 error ("hadamard: N must be 2^k*p, for p = 1, 12, 20 or 28");
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	97 endswitch
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	98
8507 cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	99 ## Build H(2^k*n) from kron(H(2^k),H(n)).
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	100 h2 = [1,1;1,-1];
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	101 while (true)
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	102 if (fix (k/2) != k/2)
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	103 h = kron (h2, h);
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	104 endif
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	105 k = fix (k/2);
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	106 if (k == 0)
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	107 break;
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	108 endif
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	109 h2 = kron (h2, h2);
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	110 endwhile
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	111
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	112 endfunction
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	113
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	114 function h = h12 ()
8507 cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	115 tu = [-1,+1,-1,+1,+1,+1,-1,-1,-1,+1,-1];
cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	116 tl = [-1,-1,+1,-1,-1,-1,+1,+1,+1,-1,+1];
cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	117 ## Note: assert (tu(2:end), tl(end:-1:2)).
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	118 h = ones (12);
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	119 h(2:end,2:end) = toeplitz (tu, tl);
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	120 endfunction
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	121
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	122 function h = h20 ()
8507 cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	123 tu = [+1,-1,-1,+1,+1,+1,+1,-1,+1,-1,+1,-1,-1,-1,-1,+1,+1,-1,-1];
cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	124 tl = [+1,-1,-1,+1,+1,-1,-1,-1,-1,+1,-1,+1,-1,+1,+1,+1,+1,-1,-1];
cadc73247d65 style fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	125 ## Note: assert (tu(2:end), tl(end:-1:2)).
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	126 h = ones (20);
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	127 h(2:end,2:end) = fliplr (toeplitz (tu, tl));
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	128 endfunction
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	129
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	130 function h = h28 ()
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	131 ## Williamson matrix construction from
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	132 ## http://www.research.att.com/~njas/hadamard/had.28.will.txt
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	133 ## Normalized so that each row and column starts with +1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	134 h = [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	135 1 1 -1 -1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 1 1 1 1 -1 1 1 1 1 -1 1 -1 1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	136 1 -1 1 -1 -1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 -1 -1 1 1 -1 1 -1 1 1 1 1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	137 1 -1 -1 1 -1 -1 -1 1 1 1 1 1 -1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 -1 1 -1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	138 1 -1 -1 -1 1 -1 -1 1 1 -1 1 1 1 1 1 -1 -1 -1 1 1 1 -1 1 -1 1 -1 -1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	139 1 -1 -1 -1 -1 1 -1 1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 1 1 1 1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	140 1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 1 -1 1 1 1 -1 1 1 1 1 -1 1 -1 1 -1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	141 1 -1 1 1 1 1 -1 -1 1 -1 -1 -1 -1 1 1 1 -1 -1 -1 -1 1 -1 -1 1 1 1 1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	142 1 -1 -1 1 1 1 1 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 1 -1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	143 1 1 1 1 -1 -1 -1 -1 -1 -1 1 1 1 -1 1 -1 -1 -1 -1 -1 1 1 1 -1 -1 1 1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	144 1 -1 1 1 1 -1 -1 -1 -1 1 -1 1 1 -1 -1 -1 1 1 -1 1 1 -1 -1 1 1 -1 -1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	145 1 -1 -1 1 1 1 -1 -1 -1 1 1 -1 1 -1 -1 1 1 -1 1 1 -1 -1 1 -1 -1 1 1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	146 1 -1 -1 -1 1 1 1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 -1 -1 -1 1 1 1 1 -1 -1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	147 1 1 1 1 1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 1 1 -1 1 -1 -1 1 1 -1 1 -1 -1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	148 1 1 -1 1 1 -1 1 -1 1 -1 1 1 -1 1 -1 -1 1 -1 -1 1 -1 1 -1 1 -1 -1 1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	149 1 1 -1 1 -1 -1 1 -1 1 1 1 -1 -1 -1 -1 -1 -1 1 1 -1 1 -1 1 1 1 1 -1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	150 1 1 -1 1 -1 1 1 1 1 1 -1 -1 1 -1 1 -1 -1 -1 -1 1 -1 -1 -1 -1 1 -1 1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	151 1 1 -1 1 -1 1 -1 1 -1 1 -1 1 1 1 -1 1 -1 -1 1 -1 1 1 -1 1 -1 -1 -1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	152 1 -1 1 -1 1 -1 1 1 1 1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 -1 -1 1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	153 1 1 1 -1 1 -1 1 1 -1 1 -1 -1 1 1 1 -1 1 -1 -1 -1 -1 -1 1 1 -1 1 -1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	154 1 1 -1 -1 1 -1 1 -1 -1 -1 -1 1 1 1 -1 1 -1 1 1 -1 -1 -1 -1 -1 1 1 1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	155 1 1 1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	156 1 1 -1 -1 1 1 -1 1 -1 -1 1 -1 -1 -1 1 -1 1 1 1 -1 1 -1 -1 1 -1 -1 1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	157 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 -1 1 -1 -1 1 -1 1 -1 1 -1 1 -1 -1 -1 1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	158 1 1 1 -1 1 1 -1 -1 1 1 -1 1 -1 -1 1 -1 -1 1 1 1 -1 1 -1 -1 -1 1 -1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	159 1 -1 1 1 -1 1 1 -1 -1 -1 1 -1 1 1 1 -1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 -1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	160 1 1 1 -1 -1 1 -1 -1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 -1 1 1 -1 -1 -1 1
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	161 1 -1 1 1 -1 -1 1 1 -1 -1 -1 1 -1 -1 1 1 -1 1 1 1 -1 -1 1 1 -1 -1 1 -1];
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	162 endfunction
1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	163
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	164
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	165 %!assert (hadamard (1), 1)
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	166 %!assert (hadamard (2), [1,1;1,-1])
5827 1fe78adb91bc [project @ 2006-05-22 06:25:14 by jwe] jwe parents: diff changeset	167 %!test
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	168 %! for n = [1,2,4,8,12,24,48,20,28,2^9]
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	169 %! h = hadamard (n);
13913 521adfd775be hadamard.m: Fix failing %!tests Rik <octave@nomad.inbox5.com> parents: 13893 diff changeset	170 %! assert (norm (hh' - neye (n)), 0);
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	171 %! endfor
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	172
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	173 %!error hadamard ()
5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	174 %!error hadamard (1,2)
13913 521adfd775be hadamard.m: Fix failing %!tests Rik <octave@nomad.inbox5.com> parents: 13893 diff changeset	175 %!error <N must be 2\^k\*p> hadamard (5)
13893 5b1ddcf5ede1 hadamard.m: Embed hadamard28 matrix as constant rather than computed value. Rik <octave@nomad.inbox5.com> parents: 12639 diff changeset	176

Mercurial > octave-antonio

annotate scripts/special-matrix/hadamard.m @ 20162:2645f9ef8c88 stable