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1 | #!/usr/local/bin/perl |
2 | # ******************************************************************** | |
3 | # * COPYRIGHT: | |
4 | # * Copyright (c) 2002, International Business Machines Corporation and | |
5 | # * others. All Rights Reserved. | |
6 | # ******************************************************************** | |
7 | ||
8 | my $PLUS_MINUS = "±"; | |
9 | ||
10 | #|#--------------------------------------------------------------------- | |
11 | #|# Format a confidence interval, as given by a Dataset. Output is as | |
12 | #|# as follows: | |
13 | #|# 241.23 - 241.98 => 241.5 +/- 0.3 | |
14 | #|# 241.2 - 243.8 => 242 +/- 1 | |
15 | #|# 211.0 - 241.0 => 226 +/- 15 or? 230 +/- 20 | |
16 | #|# 220.3 - 234.3 => 227 +/- 7 | |
17 | #|# 220.3 - 300.3 => 260 +/- 40 | |
18 | #|# 220.3 - 1000 => 610 +/- 390 or? 600 +/- 400 | |
19 | #|# 0.022 - 0.024 => 0.023 +/- 0.001 | |
20 | #|# 0.022 - 0.032 => 0.027 +/- 0.005 | |
21 | #|# 0.022 - 1.000 => 0.5 +/- 0.5 | |
22 | #|# In other words, take one significant digit of the error value and | |
23 | #|# display the mean to the same precision. | |
24 | #|sub formatDataset { | |
25 | #| my $ds = shift; | |
26 | #| my $lower = $ds->getMean() - $ds->getError(); | |
27 | #| my $upper = $ds->getMean() + $ds->getError(); | |
28 | #| my $scale = 0; | |
29 | #| # Find how many initial digits are the same | |
30 | #| while ($lower < 1 || | |
31 | #| int($lower) == int($upper)) { | |
32 | #| $lower *= 10; | |
33 | #| $upper *= 10; | |
34 | #| $scale++; | |
35 | #| } | |
36 | #| while ($lower >= 10 && | |
37 | #| int($lower) == int($upper)) { | |
38 | #| $lower /= 10; | |
39 | #| $upper /= 10; | |
40 | #| $scale--; | |
41 | #| } | |
42 | #|} | |
43 | ||
44 | #--------------------------------------------------------------------- | |
45 | # Format a number, optionally with a +/- delta, to n significant | |
46 | # digits. | |
47 | # | |
48 | # @param significant digit, a value >= 1 | |
49 | # @param multiplier | |
50 | # @param time in seconds to be formatted | |
51 | # @optional delta in seconds | |
52 | # | |
53 | # @return string of the form "23" or "23 +/- 10". | |
54 | # | |
55 | sub formatNumber { | |
56 | my $sigdig = shift; | |
57 | my $mult = shift; | |
58 | my $a = shift; | |
59 | my $delta = shift; # may be undef | |
60 | ||
61 | my $result = formatSigDig($sigdig, $a*$mult); | |
62 | if (defined($delta)) { | |
63 | my $d = formatSigDig($sigdig, $delta*$mult); | |
64 | # restrict PRECISION of delta to that of main number | |
65 | if ($result =~ /\.(\d+)/) { | |
66 | # TODO make this work for values with all significant | |
67 | # digits to the left of the decimal, e.g., 1234000. | |
68 | ||
69 | # TODO the other thing wrong with this is that it | |
70 | # isn't rounding the $delta properly. Have to put | |
71 | # this logic into formatSigDig(). | |
72 | my $x = length($1); | |
73 | $d =~ s/\.(\d{$x})\d+/.$1/; | |
74 | } | |
75 | $result .= " $PLUS_MINUS " . $d; | |
76 | } | |
77 | $result; | |
78 | } | |
79 | ||
80 | #--------------------------------------------------------------------- | |
81 | # Format a time, optionally with a +/- delta, to n significant | |
82 | # digits. | |
83 | # | |
84 | # @param significant digit, a value >= 1 | |
85 | # @param time in seconds to be formatted | |
86 | # @optional delta in seconds | |
87 | # | |
88 | # @return string of the form "23 ms" or "23 +/- 10 ms". | |
89 | # | |
90 | sub formatSeconds { | |
91 | my $sigdig = shift; | |
92 | my $a = shift; | |
93 | my $delta = shift; # may be undef | |
94 | ||
95 | my @MULT = (1 , 1e3, 1e6, 1e9); | |
96 | my @SUFF = ('s' , 'ms', 'us', 'ns'); | |
97 | ||
98 | # Determine our scale | |
99 | my $i = 0; | |
100 | #always do seconds if the following line is commented out | |
101 | ++$i while ($a*$MULT[$i] < 1 && $i < @MULT); | |
102 | ||
103 | formatNumber($sigdig, $MULT[$i], $a, $delta) . ' ' . $SUFF[$i]; | |
104 | } | |
105 | ||
106 | #--------------------------------------------------------------------- | |
107 | # Format a percentage, optionally with a +/- delta, to n significant | |
108 | # digits. | |
109 | # | |
110 | # @param significant digit, a value >= 1 | |
111 | # @param value to be formatted, as a fraction, e.g. 0.5 for 50% | |
112 | # @optional delta, as a fraction | |
113 | # | |
114 | # @return string of the form "23 %" or "23 +/- 10 %". | |
115 | # | |
116 | sub formatPercent { | |
117 | my $sigdig = shift; | |
118 | my $a = shift; | |
119 | my $delta = shift; # may be undef | |
120 | ||
121 | formatNumber($sigdig, 100, $a, $delta) . '%'; | |
122 | } | |
123 | ||
124 | #--------------------------------------------------------------------- | |
125 | # Format a number to n significant digits without using exponential | |
126 | # notation. | |
127 | # | |
128 | # @param significant digit, a value >= 1 | |
129 | # @param number to be formatted | |
130 | # | |
131 | # @return string of the form "1234" "12.34" or "0.001234". If | |
132 | # number was negative, prefixed by '-'. | |
133 | # | |
134 | sub formatSigDig { | |
135 | my $n = shift() - 1; | |
136 | my $a = shift; | |
137 | ||
138 | local $_ = sprintf("%.${n}e", $a); | |
139 | my $sign = (s/^-//) ? '-' : ''; | |
140 | ||
141 | my $a_e; | |
142 | my $result; | |
143 | if (/^(\d)\.(\d+)e([-+]\d+)$/) { | |
144 | my ($d, $dn, $e) = ($1, $2, $3); | |
145 | $a_e = $e; | |
146 | $d .= $dn; | |
147 | $e++; | |
148 | $d .= '0' while ($e > length($d)); | |
149 | while ($e < 1) { | |
150 | $e++; | |
151 | $d = '0' . $d; | |
152 | } | |
153 | if ($e == length($d)) { | |
154 | $result = $sign . $d; | |
155 | } else { | |
156 | $result = $sign . substr($d, 0, $e) . '.' . substr($d, $e); | |
157 | } | |
158 | } else { | |
159 | die "Can't parse $_"; | |
160 | } | |
161 | $result; | |
162 | } | |
163 | ||
164 | 1; | |
165 | ||
166 | #eof |