annotate scripts/plot/draw/hist.m @ 19627:446c46af4b42 stable

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scripts/statistics/distributions/frnd.m, scripts/statistics/distributions/gamrnd.m, scripts/statistics/distributions/geornd.m, scripts/statistics/distributions/hygernd.m, scripts/statistics/distributions/kolmogorov_smirnov_cdf.m, scripts/statistics/distributions/laplace_cdf.m, scripts/statistics/distributions/laplace_pdf.m, scripts/statistics/distributions/logistic_cdf.m, scripts/statistics/distributions/logistic_pdf.m, scripts/statistics/distributions/lognrnd.m, scripts/statistics/distributions/nbincdf.m, scripts/statistics/distributions/nbininv.m, scripts/statistics/distributions/nbinpdf.m, scripts/statistics/distributions/nbinrnd.m, scripts/statistics/distributions/normrnd.m, scripts/statistics/distributions/poissinv.m, scripts/statistics/distributions/poissrnd.m, scripts/statistics/distributions/tinv.m, scripts/statistics/distributions/trnd.m, scripts/statistics/distributions/unidcdf.m, scripts/statistics/distributions/unidpdf.m, scripts/statistics/distributions/unidrnd.m, scripts/statistics/distributions/unifrnd.m, scripts/statistics/distributions/wblrnd.m, scripts/statistics/models/module.mk, scripts/statistics/tests/kruskal_wallis_test.m, scripts/strings/base2dec.m, scripts/strings/deblank.m, scripts/strings/dec2base.m, scripts/strings/dec2bin.m, scripts/strings/dec2hex.m, scripts/strings/mat2str.m, scripts/strings/ostrsplit.m, scripts/strings/regexptranslate.m, scripts/strings/str2num.m, scripts/strings/strcat.m, scripts/strings/strjoin.m, scripts/strings/strsplit.m, scripts/strings/strtok.m, scripts/strings/strtrim.m, scripts/strings/strtrunc.m, scripts/strings/substr.m, scripts/testfun/__run_test_suite__.m, scripts/testfun/speed.m, scripts/testfun/test.m, scripts/time/asctime.m, scripts/time/datenum.m, scripts/time/datevec.m, scripts/time/weekday.m, src/Makefile.am, test/Makefile.am, test/build-bc-overload-tests.sh, test/build-sparse-tests.sh, test/jit.tst, test/line-continue.tst: Strip trailing whitespace.
author John W. Eaton <jwe@octave.org>
date Tue, 20 Jan 2015 08:26:57 -0500
parents 9040ad7feb35
children 4197fc428c7d
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d63878346099 maint: Update copyright notices for release.
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1 ## Copyright (C) 1994-2013 John W. Eaton
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} hist (@var{y})
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21 ## @deftypefnx {Function File} {} hist (@var{y}, @var{x})
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22 ## @deftypefnx {Function File} {} hist (@var{y}, @var{nbins})
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23 ## @deftypefnx {Function File} {} hist (@var{y}, @var{x}, @var{norm})
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24 ## @deftypefnx {Function File} {} hist (@dots{}, @var{prop}, @var{val}, @dots{})
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25 ## @deftypefnx {Function File} {} hist (@var{hax}, @dots{})
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26 ## @deftypefnx {Function File} {[@var{nn}, @var{xx}] =} hist (@dots{})
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27 ## Produce histogram counts or plots.
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28 ##
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29 ## With one vector input argument, @var{y}, plot a histogram of the values
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30 ## with 10 bins. The range of the histogram bins is determined by the
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31 ## range of the data. With one matrix input argument, @var{y}, plot a
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32 ## histogram where each bin contains a bar per input column.
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33 ##
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diff changeset
34 ## Given a second vector argument, @var{x}, use that as the centers of
11587
c792872f8942 all script files: untabify and strip trailing whitespace
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parents: 11575
diff changeset
35 ## the bins, with the width of the bins determined from the adjacent
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diff changeset
36 ## values in the vector.
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37 ##
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diff changeset
38 ## If scalar, the second argument, @var{nbins}, defines the number of bins.
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39 ##
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parents: 11563
diff changeset
40 ## If a third argument is provided, the histogram is normalized such that
3597
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parents: 3426
diff changeset
41 ## the sum of the bars is equal to @var{norm}.
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jwe
parents: 3426
diff changeset
42 ##
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diff changeset
43 ## Extreme values are lumped into the first and last bins.
3426
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jwe
parents: 3407
diff changeset
44 ##
11351
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parents: 10549
diff changeset
45 ## The histogram's appearance may be modified by specifying property/value
17158
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Rik <rik@octave.org>
parents: 17122
diff changeset
46 ## pairs. For example the face and edge color may be modified.
11351
bff585d759cf improved the help text in hist.m
Doug Stewart <doug.dastew@gmail.com>
parents: 10549
diff changeset
47 ##
bff585d759cf improved the help text in hist.m
Doug Stewart <doug.dastew@gmail.com>
parents: 10549
diff changeset
48 ## @example
bff585d759cf improved the help text in hist.m
Doug Stewart <doug.dastew@gmail.com>
parents: 10549
diff changeset
49 ## @group
14327
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Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
50 ## hist (randn (1, 100), 25, "facecolor", "r", "edgecolor", "b");
11351
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diff changeset
51 ## @end group
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diff changeset
52 ## @end example
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parents: 10549
diff changeset
53 ##
bff585d759cf improved the help text in hist.m
Doug Stewart <doug.dastew@gmail.com>
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diff changeset
54 ## @noindent
17158
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diff changeset
55 ## The histogram's colors also depend upon the current colormap.
11351
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parents: 10549
diff changeset
56 ##
bff585d759cf improved the help text in hist.m
Doug Stewart <doug.dastew@gmail.com>
parents: 10549
diff changeset
57 ## @example
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parents: 10549
diff changeset
58 ## @group
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parents: 14138
diff changeset
59 ## hist (rand (10, 3));
4d917a6a858b doc: Use Octave coding conventions in @example blocks of docstrings.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
60 ## colormap (summer ());
11351
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diff changeset
61 ## @end group
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diff changeset
62 ## @end example
bff585d759cf improved the help text in hist.m
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diff changeset
63 ##
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diff changeset
64 ## If the first argument @var{hax} is an axes handle, then plot into this axis,
b491ef539071 hist.m: Accept an axis handle as first input (bug #38508).
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parents: 17122
diff changeset
65 ## rather than the current axes returned by @code{gca}.
b491ef539071 hist.m: Accept an axis handle as first input (bug #38508).
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parents: 17122
diff changeset
66 ##
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diff changeset
67 ## With two output arguments, produce the values @var{nn} (numbers of elements)
be7e8b91c6b1 hist.m: Overhaul function.
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parents: 17162
diff changeset
68 ## and @var{xx} (bin centers) such that @code{bar (@var{xx}, @var{nn})} will
be7e8b91c6b1 hist.m: Overhaul function.
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diff changeset
69 ## plot the histogram.
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diff changeset
70 ##
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eaab03308c0b doc: Rewrite docstrings for most plot functions.
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parents: 14872
diff changeset
71 ## @seealso{histc, bar, pie, rose}
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diff changeset
72 ## @end deftypefn
724
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73
2314
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parents: 2313
diff changeset
74 ## Author: jwe
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parents: 2313
diff changeset
75
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diff changeset
76 function [nn, xx] = hist (varargin)
b491ef539071 hist.m: Accept an axis handle as first input (bug #38508).
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diff changeset
77
b491ef539071 hist.m: Accept an axis handle as first input (bug #38508).
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parents: 17122
diff changeset
78 [hax, varargin, nargin] = __plt_get_axis_arg__ ("hist", varargin{:});
724
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parents:
diff changeset
79
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diff changeset
80 if (nargin < 1)
6046
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diff changeset
81 print_usage ();
724
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parents:
diff changeset
82 endif
19627
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diff changeset
83
17158
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diff changeset
84 y = varargin{1};
b491ef539071 hist.m: Accept an axis handle as first input (bug #38508).
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parents: 17122
diff changeset
85 varargin = varargin(2:end);
2325
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jwe
parents: 2314
diff changeset
86
5443
ec8c33dcd1bf [project @ 2005-09-08 01:40:57 by jwe]
jwe
parents: 5307
diff changeset
87 arg_is_vector = isvector (y);
5065
1312d3af9eb0 [project @ 2004-11-04 20:12:00 by jwe]
jwe
parents: 5053
diff changeset
88
17487
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Rik <rik@octave.org>
parents: 17162
diff changeset
89 if (arg_is_vector)
4880
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parents: 4873
diff changeset
90 y = y(:);
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
jwe
parents: 4873
diff changeset
91 endif
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
jwe
parents: 4873
diff changeset
92
17487
be7e8b91c6b1 hist.m: Overhaul function.
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parents: 17162
diff changeset
93 if (! isreal (y))
be7e8b91c6b1 hist.m: Overhaul function.
Rik <rik@octave.org>
parents: 17162
diff changeset
94 error ("hist: Y must be real valued");
724
86d73993eee2 [project @ 1994-09-21 19:42:34 by jwe]
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parents:
diff changeset
95 endif
86d73993eee2 [project @ 1994-09-21 19:42:34 by jwe]
jwe
parents:
diff changeset
96
17487
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diff changeset
97 max_val = max (y(:));
be7e8b91c6b1 hist.m: Overhaul function.
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diff changeset
98 min_val = min (y(:));
be7e8b91c6b1 hist.m: Overhaul function.
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diff changeset
99
7112
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diff changeset
100 iarg = 1;
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101 if (nargin == 1 || ischar (varargin{iarg}))
724
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parents:
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102 n = 10;
4880
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diff changeset
103 x = [0.5:n]'/n;
14868
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parents: 14613
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104 x = x * (max_val - min_val) + ones (size (x)) * min_val;
3597
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diff changeset
105 else
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diff changeset
106 ## nargin is either 2 or 3
7208
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diff changeset
107 x = varargin{iarg++};
4030
22bd65326ec1 [project @ 2002-08-09 18:58:13 by jwe]
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parents: 3690
diff changeset
108 if (isscalar (x))
724
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parents:
diff changeset
109 n = x;
86d73993eee2 [project @ 1994-09-21 19:42:34 by jwe]
jwe
parents:
diff changeset
110 if (n <= 0)
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parents: 17162
diff changeset
111 error ("hist: number of bins NBINS must be positive");
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parents:
diff changeset
112 endif
4880
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diff changeset
113 x = [0.5:n]'/n;
7191
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parents: 7189
diff changeset
114 x = x * (max_val - min_val) + ones (size (x)) * min_val;
4880
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diff changeset
115 elseif (isreal (x))
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
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parents: 4873
diff changeset
116 if (isvector (x))
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117 x = x(:);
4880
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diff changeset
118 endif
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diff changeset
119 xsort = sort (x);
be7e8b91c6b1 hist.m: Overhaul function.
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diff changeset
120 if (any (xsort != x))
904
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parents: 736
diff changeset
121 warning ("hist: bin values not sorted on input");
17487
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diff changeset
122 x = xsort;
724
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parents:
diff changeset
123 endif
86d73993eee2 [project @ 1994-09-21 19:42:34 by jwe]
jwe
parents:
diff changeset
124 else
86d73993eee2 [project @ 1994-09-21 19:42:34 by jwe]
jwe
parents:
diff changeset
125 error ("hist: second argument must be a scalar or a vector");
86d73993eee2 [project @ 1994-09-21 19:42:34 by jwe]
jwe
parents:
diff changeset
126 endif
86d73993eee2 [project @ 1994-09-21 19:42:34 by jwe]
jwe
parents:
diff changeset
127 endif
86d73993eee2 [project @ 1994-09-21 19:42:34 by jwe]
jwe
parents:
diff changeset
128
7189
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diff changeset
129 ## Avoid issues with integer types for x and y
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diff changeset
130 x = double (x);
e8d953d03f6a [project @ 2007-11-26 20:42:09 by dbateman]
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diff changeset
131 y = double (y);
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diff changeset
132
4880
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diff changeset
133 cutoff = (x(1:end-1,:) + x(2:end,:)) / 2;
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
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diff changeset
134 n = rows (x);
7566
b3acdf1c41a5 hist: avoid temps; allow matrix args when number of bins > 30
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diff changeset
135 y_nc = columns (y);
4880
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diff changeset
136 if (n < 30 && columns (x) == 1)
4407
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diff changeset
137 ## The following algorithm works fastest for n less than about 30.
7566
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diff changeset
138 chist = zeros (n+1, y_nc);
4407
16e8acbd19d5 [project @ 2003-05-05 19:00:56 by jwe]
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parents: 4030
diff changeset
139 for i = 1:n-1
4880
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parents: 4873
diff changeset
140 chist(i+1,:) = sum (y <= cutoff(i));
4407
16e8acbd19d5 [project @ 2003-05-05 19:00:56 by jwe]
jwe
parents: 4030
diff changeset
141 endfor
5746
e4e93452fd3e [project @ 2006-04-06 20:46:31 by jwe]
jwe
parents: 5642
diff changeset
142 chist(n+1,:) = sum (! isnan (y));
4407
16e8acbd19d5 [project @ 2003-05-05 19:00:56 by jwe]
jwe
parents: 4030
diff changeset
143 else
16e8acbd19d5 [project @ 2003-05-05 19:00:56 by jwe]
jwe
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diff changeset
144 ## The following algorithm works fastest for n greater than about 30.
16e8acbd19d5 [project @ 2003-05-05 19:00:56 by jwe]
jwe
parents: 4030
diff changeset
145 ## Put cutoff elements between boundaries, integrate over all
16e8acbd19d5 [project @ 2003-05-05 19:00:56 by jwe]
jwe
parents: 4030
diff changeset
146 ## elements, keep totals at boundaries.
7566
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John W. Eaton <jwe@octave.org>
parents: 7208
diff changeset
147 [s, idx] = sort ([y; repmat(cutoff, 1, y_nc)]);
4880
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parents: 4873
diff changeset
148 len = rows (y);
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
jwe
parents: 4873
diff changeset
149 chist = cumsum (idx <= len);
7566
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parents: 7208
diff changeset
150 chist = [(zeros (1, y_nc));
10549
95c3e38098bf Untabify .m scripts
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parents: 9040
diff changeset
151 (reshape (chist(idx > len), rows (cutoff), y_nc));
95c3e38098bf Untabify .m scripts
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parents: 9040
diff changeset
152 (chist(end,:) - sum (isnan (y)))];
4407
16e8acbd19d5 [project @ 2003-05-05 19:00:56 by jwe]
jwe
parents: 4030
diff changeset
153 endif
16e8acbd19d5 [project @ 2003-05-05 19:00:56 by jwe]
jwe
parents: 4030
diff changeset
154
4880
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parents: 4873
diff changeset
155 freq = diff (chist);
724
86d73993eee2 [project @ 1994-09-21 19:42:34 by jwe]
jwe
parents:
diff changeset
156
7191
b48a21816f2e [project @ 2007-11-26 21:24:32 by jwe]
jwe
parents: 7189
diff changeset
157 if (nargin > 2 && ! ischar (varargin{iarg}))
17487
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Rik <rik@octave.org>
parents: 17162
diff changeset
158 ## Normalize the histogram.
7112
f90a8188c9c2 [project @ 2007-11-07 00:24:11 by dbateman]
dbateman
parents: 7017
diff changeset
159 norm = varargin{iarg++};
18811
9040ad7feb35 Fix regression in hist with multiple columns and normalization (bug #42394).
Rik <rik@octave.org>
parents: 17744
diff changeset
160 freq = bsxfun (@times, freq, norm ./ sum (! isnan (y)));
3597
26662775f4e9 [project @ 2000-02-12 02:24:41 by jwe]
jwe
parents: 3426
diff changeset
161 endif
26662775f4e9 [project @ 2000-02-12 02:24:41 by jwe]
jwe
parents: 3426
diff changeset
162
6586
e4ea529efab0 [project @ 2007-04-26 19:09:26 by dbateman]
dbateman
parents: 6582
diff changeset
163 if (nargout > 0)
19627
446c46af4b42 strip trailing whitespace from most source files
John W. Eaton <jwe@octave.org>
parents: 18811
diff changeset
164 if (arg_is_vector)
17487
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parents: 17162
diff changeset
165 ## Matlab compatibility requires a row vector return
19627
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parents: 18811
diff changeset
166 nn = freq';
4880
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
jwe
parents: 4873
diff changeset
167 xx = x';
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
jwe
parents: 4873
diff changeset
168 else
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
jwe
parents: 4873
diff changeset
169 nn = freq;
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
jwe
parents: 4873
diff changeset
170 xx = x;
b9662e2ceb6b [project @ 2004-04-23 16:13:49 by jwe]
jwe
parents: 4873
diff changeset
171 endif
736
c8f88bd3202b [project @ 1994-09-24 03:28:05 by jwe]
jwe
parents: 724
diff changeset
172 else
17158
b491ef539071 hist.m: Accept an axis handle as first input (bug #38508).
Rik <rik@octave.org>
parents: 17122
diff changeset
173 if (isempty (hax))
b491ef539071 hist.m: Accept an axis handle as first input (bug #38508).
Rik <rik@octave.org>
parents: 17122
diff changeset
174 hax = gca ();
b491ef539071 hist.m: Accept an axis handle as first input (bug #38508).
Rik <rik@octave.org>
parents: 17122
diff changeset
175 endif
17522
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176 bar (hax, x, freq, "hist", varargin{iarg:end});
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177 endif
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178
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179 endfunction
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180
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181
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182 %!test
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183 %! [nn,xx] = hist ([1:4], 3);
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184 %! assert (xx, [1.5,2.5,3.5]);
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185 %! assert (nn, [2,1,1]);
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186 %!test
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187 %! [nn,xx] = hist ([1:4]', 3);
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188 %! assert (xx, [1.5,2.5,3.5]);
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189 %! assert (nn, [2,1,1]);
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190 %!test
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191 %! [nn,xx] = hist ([1 1 1 NaN NaN NaN 2 2 3],[1 2 3]);
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192 %! assert (xx, [1,2,3]);
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193 %! assert (nn, [3,2,1]);
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194 %!test
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195 %! [nn,xx] = hist ([1 1 1 NaN NaN NaN 2 2 3],[1 2 3], 6);
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196 %! assert (xx, [1,2,3]);
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197 %! assert (nn, [3,2,1]);
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198 %!test
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199 %! [nn,xx] = hist ([[1:4]', [1:4]'], 3);
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200 %! assert (xx, [1.5;2.5;3.5]);
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201 %! assert (nn, [[2,1,1]',[2,1,1]']);
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202 %!test
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203 %! for n = [10, 30, 100, 1000]
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204 %! assert (sum (hist ([1:n], n)), n);
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205 %! assert (sum (hist ([1:n], [2:n-1])), n);
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206 %! assert (sum (hist ([1:n], [1:n])), n);
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207 %! assert (sum (hist ([1:n], 29)), n);
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208 %! assert (sum (hist ([1:n], 30)), n);
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209 %! endfor
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210 %!assert (hist (1,1), 1)
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211 %!assert (size (hist (randn (750,240), 200)), [200,240])
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212 ## Test bug #42394
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213 %!assert (isempty (hist (rand (10,2), 0:5, 1)), false)
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214 %!assert (isempty (hist (rand (10,2), 0:5, [1 1])), false)