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1#!/usr/local/bin/perl
2# ********************************************************************
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3# * Copyright (C) 2016 and later: Unicode, Inc. and others.
4# * License & terms of use: http://www.unicode.org/copyright.html#License
5# ********************************************************************
6# ********************************************************************
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7# * COPYRIGHT:
8# * Copyright (c) 2002, International Business Machines Corporation and
9# * others. All Rights Reserved.
10# ********************************************************************
11
12my $PLUS_MINUS = "±";
13
14#|#---------------------------------------------------------------------
15#|# Format a confidence interval, as given by a Dataset. Output is as
16#|# as follows:
17#|# 241.23 - 241.98 => 241.5 +/- 0.3
18#|# 241.2 - 243.8 => 242 +/- 1
19#|# 211.0 - 241.0 => 226 +/- 15 or? 230 +/- 20
20#|# 220.3 - 234.3 => 227 +/- 7
21#|# 220.3 - 300.3 => 260 +/- 40
22#|# 220.3 - 1000 => 610 +/- 390 or? 600 +/- 400
23#|# 0.022 - 0.024 => 0.023 +/- 0.001
24#|# 0.022 - 0.032 => 0.027 +/- 0.005
25#|# 0.022 - 1.000 => 0.5 +/- 0.5
26#|# In other words, take one significant digit of the error value and
27#|# display the mean to the same precision.
28#|sub formatDataset {
29#| my $ds = shift;
30#| my $lower = $ds->getMean() - $ds->getError();
31#| my $upper = $ds->getMean() + $ds->getError();
32#| my $scale = 0;
33#| # Find how many initial digits are the same
34#| while ($lower < 1 ||
35#| int($lower) == int($upper)) {
36#| $lower *= 10;
37#| $upper *= 10;
38#| $scale++;
39#| }
40#| while ($lower >= 10 &&
41#| int($lower) == int($upper)) {
42#| $lower /= 10;
43#| $upper /= 10;
44#| $scale--;
45#| }
46#|}
47
48#---------------------------------------------------------------------
49# Format a number, optionally with a +/- delta, to n significant
50# digits.
51#
52# @param significant digit, a value >= 1
53# @param multiplier
54# @param time in seconds to be formatted
55# @optional delta in seconds
56#
57# @return string of the form "23" or "23 +/- 10".
58#
59sub formatNumber {
60 my $sigdig = shift;
61 my $mult = shift;
62 my $a = shift;
63 my $delta = shift; # may be undef
64
65 my $result = formatSigDig($sigdig, $a*$mult);
66 if (defined($delta)) {
67 my $d = formatSigDig($sigdig, $delta*$mult);
68 # restrict PRECISION of delta to that of main number
69 if ($result =~ /\.(\d+)/) {
70 # TODO make this work for values with all significant
71 # digits to the left of the decimal, e.g., 1234000.
72
73 # TODO the other thing wrong with this is that it
74 # isn't rounding the $delta properly. Have to put
75 # this logic into formatSigDig().
76 my $x = length($1);
77 $d =~ s/\.(\d{$x})\d+/.$1/;
78 }
79 $result .= " $PLUS_MINUS " . $d;
80 }
81 $result;
82}
83
84#---------------------------------------------------------------------
85# Format a time, optionally with a +/- delta, to n significant
86# digits.
87#
88# @param significant digit, a value >= 1
89# @param time in seconds to be formatted
90# @optional delta in seconds
91#
92# @return string of the form "23 ms" or "23 +/- 10 ms".
93#
94sub formatSeconds {
95 my $sigdig = shift;
96 my $a = shift;
97 my $delta = shift; # may be undef
98
99 my @MULT = (1 , 1e3, 1e6, 1e9);
100 my @SUFF = ('s' , 'ms', 'us', 'ns');
101
102 # Determine our scale
103 my $i = 0;
104 #always do seconds if the following line is commented out
105 ++$i while ($a*$MULT[$i] < 1 && $i < @MULT);
106
107 formatNumber($sigdig, $MULT[$i], $a, $delta) . ' ' . $SUFF[$i];
108}
109
110#---------------------------------------------------------------------
111# Format a percentage, optionally with a +/- delta, to n significant
112# digits.
113#
114# @param significant digit, a value >= 1
115# @param value to be formatted, as a fraction, e.g. 0.5 for 50%
116# @optional delta, as a fraction
117#
118# @return string of the form "23 %" or "23 +/- 10 %".
119#
120sub formatPercent {
121 my $sigdig = shift;
122 my $a = shift;
123 my $delta = shift; # may be undef
124
125 formatNumber($sigdig, 100, $a, $delta) . '%';
126}
127
128#---------------------------------------------------------------------
129# Format a number to n significant digits without using exponential
130# notation.
131#
132# @param significant digit, a value >= 1
133# @param number to be formatted
134#
135# @return string of the form "1234" "12.34" or "0.001234". If
136# number was negative, prefixed by '-'.
137#
138sub formatSigDig {
139 my $n = shift() - 1;
140 my $a = shift;
141
142 local $_ = sprintf("%.${n}e", $a);
143 my $sign = (s/^-//) ? '-' : '';
144
145 my $a_e;
146 my $result;
147 if (/^(\d)\.(\d+)e([-+]\d+)$/) {
148 my ($d, $dn, $e) = ($1, $2, $3);
149 $a_e = $e;
150 $d .= $dn;
151 $e++;
152 $d .= '0' while ($e > length($d));
153 while ($e < 1) {
154 $e++;
155 $d = '0' . $d;
156 }
157 if ($e == length($d)) {
158 $result = $sign . $d;
159 } else {
160 $result = $sign . substr($d, 0, $e) . '.' . substr($d, $e);
161 }
162 } else {
163 die "Can't parse $_";
164 }
165 $result;
166}
167
1681;
169
170#eof