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maint: backout accidental check-in 979ebfdd240d.
author Rik <rik@octave.org>
date Thu, 21 Feb 2013 22:31:13 -0800
parents 979ebfdd240d
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1 ## Copyright (C) 2013 Michael D. Godfrey
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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
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6 ## modify it under the terms of the GNU General Public
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7 ## License as published by the Free Software Foundation;
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8 ## either version 3 of the License, or (at your option) any
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9 ## later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful,
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12 ## but WITHOUT ANY WARRANTY; without even the implied
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13 ## warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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14 ## PURPOSE. See the GNU General Public License for more
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15 ## details.
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16 ##
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17 ## You should have received a copy of the GNU General Public
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18 ## License along with Octave; see the file COPYING. If not,
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19 ## see <http://www.gnu.org/licenses/>.
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20
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21
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22 ## -*- texinfo -*-
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23 ## @deftypefn {Function File} {} stemleaf (@var{x})
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24 ## @deftypefnx {Function File} {@var{plot} =} stemleaf (@var{x}, @var{opt})
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25 ##
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26 ## Compute and display a stem and leaf plot of the vector @var{x}.
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27 ##
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28 ## The @var{x} vector is converted to integer by @var{x} = @code{fix} (@var{x}).
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29 ## If an output argument is provided, the plot is returned as
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30 ## an array of strings. The first element is the heading
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31 ## followed by an element for each stem.
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32 ## The default stem step is 10.
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33 ## The @var{x} vector should be integers. It will be treated so that
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34 ## the last digit is the leaf value and the other digits are
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35 ## the stems.
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36 ## The leaf digits are not sorted. If sorted leaf values
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37 ## are wanted, use @code{sort} (@var{x}) before calling @code{stemleaf} (@var{x}).
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38 ## The stem and leaf plot is described in: Ch. 3,
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39 ## Exploratory Data Analysis by J. W. Tukey, Addison-Wesley, 1977.
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40 ## @seealso{hist, printd}
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41 ## @end deftypefn
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42
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43 ## Author: Michael D. Godfrey <michaeldgodfrey@gmail.com>
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44 ## Description: Compute stem and leaf plot
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45
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46 function varargout = stemleaf (x, stem_unit)
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47 ## Compute and display a stem and leaf plot of the vector x. The x
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48 ## vector is converted to integer by x = fix(x). If an output argument
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49 ## is provided, the plot is returned as an array of strings. The
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50 ## first element is the heading followed by an element for each stem.
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51 ##
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52 ## The default stem step is 10. If stem_unit is provided the stem
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53 ## step is set to: 10^(stem_unit+1) The x vector should be integers.
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54 ## It will be treated so that the last digit is the leaf value and the
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55 ## other digits are the stems.
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56 ##
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57 ## When we first implemented stem and leaf plots in the early 1960's
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58 ## there was some discussion about sorting vs. leaving the leaf
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59 ## entries in the original order in the data. We decided in favor or
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60 ## sorting the leaves for most purposes. This is the choice
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61 ## implemented in the SNAP/IEDA system that was written at that time.
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62 ##
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63 ## SNAP/IEDA and particularly its stem and leaf plotting were further
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64 ## developed by Hale Trotter, David Hoagland (at Princeton and MIT)
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65 ## and others.
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66 ##
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67 ## Tukey, in EDA, generally uses unsorted leaves. In addition, he
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68 ## described a wide range of additional display formats. This
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69 ## implementation does not sort the leaves, but if the x vector is
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70 ## sorted then the leaves come out sorted. A simple display format is
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71 ## used.
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72 ##
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73 ## I doubt if providing other options is worthwhile. The code can
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74 ## quite easily be modified to provide specific display results. Or,
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75 ## the returned output string can be edited. The returned output is an
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76 ## array of strings with each row containing a line of the plot
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77 ## preceded by the lines of header text as the first row. This
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78 ## facilitates annotation.
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79 ##
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80 ## Note that the code has some added complexity due to the need to
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81 ## distinguish both + and - 0 stems. The +- stem values are essential
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82 ## for all plots which span 0. After dealing with +-0 stems, the added
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83 ## complexity of putting +- data values in the correct stem is minor,
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84 ## but the sign of 0 leaves must be checked. And, the cases where the
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85 ## stems start or end at +- 0 must also be considered.
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86 ##
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87 ## The fact that IEEE floating point defines +- 0 helps make this
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88 ## easier.
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89 ##
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90 ##
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91 ## Michael D. Godfrey January 2013
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92
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93 ## More could be implemented for better data scaling. And, of course,
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94 ## other options for the kinds of plots described by Tukey could be
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95 ## provided. This may best be left to users.
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96
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97 if (nargin >= 2)
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98 stem_step = 10^(stem_unit+1);
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99 else
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100 stem_step = 10;
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101 endif
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102 if (any (x == int32 (x)) == 0)
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103 printf ('Input vector truncated to integer values.\n')
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104 x = fix (x);
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105 endif
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106
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107 ## Avoid use of int32 due to:
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108
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109 ## floor (int32 (-44)/10) == -4 and floor (int32 (-46)/10) = -5 !!!
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110 ## x = sort (fix (x)); % User can decide about sorting x.
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111 ## x = fix (x);
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112 ## %Adjust scale if too small.
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113 ## while any(abs((fix(x) - x)) >= abs(x/100))
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114 ## x =10*x;
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115 ## endwhile
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116
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117 ## Note that IEEE 754 states that -+ 0 should compare equal. This has
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118 ## led to C sort (and therefore Octave) treating them as equal. Thus,
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119 ## sort([ -1 0 -0 1]) yields: -1 0 -0 1. and, sort([-1 -0 0 1])
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120 ## yields: -1 -0 0 1. This means that stem-and-leaf plotting cannot
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121 ## rely on sort to order the data as needed for display.
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122
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123 if (all((sort(x) == x)) == 1)
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124 hsort = 'sorted.';
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125 else
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126 hsort = 'unsorted.';
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127 endif
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128 nx = max (size (x));
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Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
129 ## Determine stem values
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
130 if (min(x) < 0)
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Rik <rik@octave.org>
parents: 16085
diff changeset
131 if (signbit(max(x)) == 0) # max is positive
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
132 stems = [fix(min(x)/stem_step)-1 : -1 -0];
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
133 stems = [stems 0 : fix(max(x)/stem_step)+1 ];
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
134 else
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
135 if (max(x) < 0)
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
136 stems = [(fix(min(x)/stem_step)-1) : fix(max(x)/stem_step)];
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
137 else
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
138 stems = [(fix(min(x)/stem_step)-1) : -1 -0];
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
139 stems = [stems 0 : fix(max(x)/stem_step)];
16085
979ebfdd240d [mq]: stemleaf
Rik <rik@octave.org>
parents: 16083
diff changeset
140 endif
979ebfdd240d [mq]: stemleaf
Rik <rik@octave.org>
parents: 16083
diff changeset
141 endif
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
142 else # All stems are > 0
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Rik <rik@octave.org>
parents: 16085
diff changeset
143 stems = [fix(min(x)/stem_step) : fix(max(x)/stem_step) + 1];
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
144 endif
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
145 ##stems
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Rik <rik@octave.org>
parents: 16085
diff changeset
146 ##x
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Rik <rik@octave.org>
parents: 16085
diff changeset
147 nstems = max(size(stems));
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
148 ## compute hinges at +- 1.5 * quartiles
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
149 ## this requires sorted data!
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
150 xs = sort (x); # Note that sort preserves -0
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Rik <rik@octave.org>
parents: 16085
diff changeset
151 threeh = 1.5;
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Rik <rik@octave.org>
parents: 16085
diff changeset
152 two = 2.0;
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Rik <rik@octave.org>
parents: 16085
diff changeset
153 j = idivide(nx, 4, "fix") + 1; # Use F95 truncation.
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
154 k = nx - j + 1;
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
155 hl = xs (j);
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Rik <rik@octave.org>
parents: 16085
diff changeset
156 hu = xs (k);
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Rik <rik@octave.org>
parents: 16085
diff changeset
157 if ( (nx + 1) == (4 * j) )
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Rik <rik@octave.org>
parents: 16085
diff changeset
158 hl = (xs (j + 1) + hl) / two;
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
159 hu = (xs (k - 1) + hu) / two;
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
160 endif
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
161
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
162 ## :::::::: determine h-spread (dh) and fences ::::::::
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
163 dh = hu - hl;
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
164 fu = hu + threeh * dh;
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Rik <rik@octave.org>
parents: 16085
diff changeset
165 fl = hl - threeh * dh;
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
166
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
167 ## :::::::: find value adjacent to lower fence ::::::::
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
168 for i = 1:j
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
169 if ( xs (i) >= fl )
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
170 continue;
16006
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Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
171 endif
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
172 endfor
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
173 ilow = i;
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Rik <rik@octave.org>
parents: 16085
diff changeset
174 xlo = xs (ilow);
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
175
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
176 ## :::::::: find value adjacent to upper fence ::::::::
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Rik <rik@octave.org>
parents: 16085
diff changeset
177 for i = 1:j
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Rik <rik@octave.org>
parents: 16085
diff changeset
178 if ( xs (nx -i + 1) <= fu )
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
179 continue;
16006
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Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
180 endif
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
181 endfor
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
182
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
183 ihi = nx - i + 1;
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
184 xhi = xs (ihi);
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
185
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
186 ## Heading for output:
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Rik <rik@octave.org>
parents: 16085
diff changeset
187 plot_out = "";
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Rik <rik@octave.org>
parents: 16085
diff changeset
188 plot_out = [plot_out sprintf("stem step: %i, data: %s\nHinges: lo: %g, hi: %g\n",
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
189 stem_step, hsort, xlo, xhi)];
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
190
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
191 ## This may appear to be a good place to use vectorization using the
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
192 ## stem and data arrays but the necessary special case treatment of 0
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
193 ## and -0 seems to result in little reduction of complexity, and since
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
194 ## this algorithm is for small data vectors only there would be
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
195 ## practically no performance improvement.
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
196
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
197 ## Determine leaves for each stem:
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
198 for kx = 2:nstems
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
199 line_out = "";
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
200 steml = "";
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
201 ## Build a string of leaf digits for stem(kx) if stem(kx) <= 0, or
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
202 ## stem(kx-1) if stem(kx) > 0
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
203
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
204 ## stems -+ 0 have to be handled as special cases.
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
205 for xi = 1:nx
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
206 if(signbit(stems(kx)) != 0)
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
207 t1 = ((x(xi) <= stems(kx)*10) && (x(xi) > (stems(kx-1)*10)));
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
208 else
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
209 t1 = ((x(xi) < stems(kx)*10) && (x(xi) >= (stems(kx-1)*10)));
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
210 endif
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
211 ## Special tests for stem -+ 0
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
212 if ((stems(kx) == 0) && signbit(stems(kx)) && (x(xi) == 0)) && !signbit(x(xi))
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
213 t1 = 0;
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
214 endif
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
215 if ((stems(kx-1) == 0) && !signbit(stems(kx-1)) && (x(xi) == 0)) && signbit(x(xi))
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
216 t1 = 0;
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
217 endif
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
218 ## Create line as a string
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
219 if t1
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
220 if (stems(kx) <= 0)
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
221 xz = abs (x(xi) - stems(kx)*10);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
222 else
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
223 xz = abs (x(xi) - stems(kx-1)*10);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
224 endif
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
225 if ((stems(kx) == 0) && signbit(stems(kx)))
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
226 steml = [steml sprintf("%d", abs(x(xi) - stems(kx)*10))];
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
227 else
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
228 steml = [steml sprintf("%d", xz)];
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
229 endif
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
230 endif % t1
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
231 endfor % xi = 1:nx
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
232
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
233 ## Set correct -0
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
234 if ((stems(kx) == 0) && signbit(stems(kx)))
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
235 line_out = [line_out sprintf(" -0 | %s", steml)]; % -0 stem.
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
236 else
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
237 if( stems(kx) < 0)
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
238 line_out = [line_out sprintf("%4d | %s", stems(kx), steml)];
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
239 else
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
240 if stems(kx) > 0
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
241 line_out = [line_out sprintf("%4d | %s", stems(kx-1), steml)];
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
242 endif
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
243 endif
16006
9978c44ab12c Style fixes on printd.m and stemleaf.m
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 16005
diff changeset
244 endif
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
245 plot_out = [plot_out; line_out];
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
246 endfor % kx = 2:nstems
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
247 if (nargout == 0)
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
248 rows = size (plot_out)(1);
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
249 cols = size (plot_out)(2);
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
250 for k = 1:rows
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
251 printf("%s\n", plot_out(k,1:cols));
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
252 endfor
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
253 else
16087
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
254 varargout{1} = plot_out;
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
255 endif
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
256 endfunction
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
257
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
258 %!demo
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
259 %! ## Unsorted plot:
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
260 %! x = [-22 12 -28 52 39 -2 12 10 11 11 42 38 44 18 44];
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
261 %! stemleaf (x, 0);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
262
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
263 %!demo
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
264 %! ## Sorted leaves:
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
265 %! x = [-22 12 -28 52 39 -2 12 10 11 11 42 38 44 18 44];
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
266 %! y = sort(x);
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
267 %! stemleaf (y, 0);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
268
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
269 %!demo
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
270 %! ## More data (sorted)
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
271 %! x = [-22 12 -28 52 39 -2 12 10 11 11 42 38 44 18 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 -13 71 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 21 23 30 10 20 21 30 0 100 110 1 20 0 ];
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Rik <rik@octave.org>
parents: 16085
diff changeset
272 %! y = sort(x);
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
273 %! stemleaf (y, 0);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
274
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
275 %!test
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
276 %! ## test minus to plus
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
277 %! x = [-22 12 -28 52 39 -2 12 10 11 11 42 38 44 18 44 37 113 124 37 48 127 36 29 31 125 139 131 115 105 132 104 123 35 113 122 42 117 119 58 109 23 105 63 27 44 105 99 41 128 121 116 125 32 61 37 127 29 113 121 58 114 126 53 114 96 25 109 7 31 141 46 -13 71 43 117 116 27 7 68 40 31 115 124 42 128 52 71 118 117 38 27 106 33 117 116 111 40 119 47 105 57 122 109 124 115 43 120 43 27 27 18 28 48 125 107 114 34 133 45 120 30 127 31 116 146 21 23 30 10 20 21 30 0 100 110 1 20 0 ];
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
278 %! x = sort(x);
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
279 %! r2 = ["stem step: 10, data: sorted.\nHinges: lo: 30, hi: 116\n";...
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Rik <rik@octave.org>
parents: 16085
diff changeset
280 %! " -2 | 82";" -1 | 3";" -0 | 2";" 0 | 00177";...
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
281 %! " 1 | 00112288";" 2 | 001133577777899";...
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
282 %! " 3 | 000111123456777889";" 4 | 00122233344456788";...
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
283 %! " 5 | 223788";" 6 | 138";" 7 | 11";" 8 | ";...
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
284 %! " 9 | 69";" 10 | 04555567999";" 11 | 0133344455566667777899";...
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
285 %! " 12 | 0011223444555677788";" 13 | 1239";" 14 | 16"];
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Rik <rik@octave.org>
parents: 16085
diff changeset
286 %! rx = stemleaf (x, 0);
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Rik <rik@octave.org>
parents: 16085
diff changeset
287 %! assert(r2, rx);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
288 %!test
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
289 %! ## positive values above 0
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
290 %! x = [22 12 28 52 39 12 11 11 42 38 44 18 44 ];
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
291 %! r2 = ["stem step: 10, data: unsorted.\nHinges: lo: 12, hi: 42\n";...
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
292 %! " 1 | 22118";" 2 | 28";" 3 | 98";" 4 | 244";" 5 | 2"];
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Rik <rik@octave.org>
parents: 16085
diff changeset
293 %! rx = stemleaf (x, 0);
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
294 %! assert(r2, rx);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
295 %!test
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
296 %! ## negative values below 0
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
297 %! x = [22 12 28 52 39 12 11 11 42 38 44 18 44];
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
298 %! x = -x;
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
299 %! r2 = ["stem step: 10, data: unsorted.\nHinges: lo: -42, hi: -12\n";...
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
300 %! " -5 | 2";" -4 | 244";" -3 | 98";" -2 | 28";" -1 | 22118"];
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Rik <rik@octave.org>
parents: 16085
diff changeset
301 %! rx = stemleaf (x, 0);
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
302 %! assert(r2, rx);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
303 %!test
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
304 %! ## positive values from 0
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
305 %! x = [22 12 28 52 39 2 12 0 11 11 42 38 44 18 44];
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
306 %! r2 = ["stem step: 10, data: unsorted.\nHinges: lo: 11, hi: 42\n";...
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
307 %! " 0 | 20";" 1 | 22118";" 2 | 28";" 3 | 98";" 4 | 244";" 5 | 2"];
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Rik <rik@octave.org>
parents: 16085
diff changeset
308 %! rx = stemleaf (x, 0);
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
309 %! assert(r2, rx);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
310 %!test
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
311 %! ## negative values from 0
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
312 %! x = [22 12 28 52 39 2 12 0 11 11 42 38 44 18 44];
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
313 %! x = -x;
16087
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Rik <rik@octave.org>
parents: 16085
diff changeset
314 %! r2 = ["stem step: 10, data: unsorted.\nHinges: lo: -42, hi: -11\n";...
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
315 %! " -5 | 2";" -4 | 244";" -3 | 98";" -2 | 28";" -1 | 22118";" -0 | 20"];
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
316 %! rx = stemleaf (x, 0);
2b994ee38b1c maint: backout accidental check-in 979ebfdd240d.
Rik <rik@octave.org>
parents: 16085
diff changeset
317 %! assert(r2, rx);
16005
369b173d6c16 provide stemleaf.m and printd.m
Michael Godfrey <michaeldgodfrey@gmail.com>
parents:
diff changeset
318