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package Math::SigDig; |
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#Robert W. Leach |
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#Princeton University |
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#Carl Icahn Laboratory |
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#Lewis Sigler Institute for Integrative Genomics |
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#Bioinformatics Group |
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#Room 133A |
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#Princeton, NJ 08544 |
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#rleach@genomics.princeton.edu |
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#Copyright 2014 |
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#NOTICE |
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# |
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#This software (Math::SigDig) and ancillary information (herein |
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#called "SOFTWARE") is free: you can redistribute it and/or modify |
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#it under the terms of the GNU General Public License as published by |
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#the Free Software Foundation, either version 3 of the License, or |
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#(at your option) any later version. |
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# |
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#This software is distributed in the hope that it will be useful, |
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#but WITHOUT ANY WARRANTY; without even the implied warranty of |
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#MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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#GNU General Public License for more details. |
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# |
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#You should have received a copy of the GNU General Public License |
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#along with this program. If not, see . |
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# |
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#If SOFTWARE is modified to produce derivative works, such modified |
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#SOFTWARE should be clearly marked, so as not to confuse it with this |
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#version. |
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31226
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use 5.012003; |
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use strict; |
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use warnings; |
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48
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use Exporter; |
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47
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40
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1
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1
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5
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use vars qw($VERSION @ISA @EXPORT @EXPORT_OK %EXPORT_TAGS); |
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2
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1
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1775
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41
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42
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$VERSION = 1.00; |
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@ISA = qw(Exporter); |
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44
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@EXPORT = qw(sigdig getsigdig); |
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45
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@EXPORT_OK = (); |
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46
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%EXPORT_TAGS = (); |
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47
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48
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sub sigdig |
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49
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{ |
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9
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9
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0
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1126
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my $num = $_[0]; |
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51
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9
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100
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18
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my $places = defined($_[1]) ? $_[1] : 3; |
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52
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53
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#Pad with 0's by adding decimal places up to $places significant digits, or |
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54
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#if $places is 0, up to the pad value (note there can still be numbers in |
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55
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#this case with more significant digits than specified by the pad value) |
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56
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9
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100
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66
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28
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my $pad = defined($_[2]) ? ($places > 0 && $_[2] ? $places : $_[2]) : 0; |
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100
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57
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58
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9
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12
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my $new_num = ''; |
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59
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60
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9
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50
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33
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88
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if(!defined($places) || $places !~ /\d/ || $places =~ /\D/ || $places < 0) |
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100
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33
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33
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61
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{ |
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62
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0
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0
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print STDERR ("ERROR:sigdig(): An invalid number of significant ", |
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63
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"digits was specified."); |
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64
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0
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0
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return($num); |
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65
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} |
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66
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#0 means all are significant digits |
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67
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elsif($places == 0) |
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68
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{ |
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69
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2
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3
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$new_num = $num; |
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70
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2
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3
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my $cur_sig_dig = getsigdig($new_num); |
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71
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2
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100
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7
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if($pad > $cur_sig_dig) |
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72
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{ |
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73
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#If there's an exponent |
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74
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1
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50
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14
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if($new_num =~ /^([+\-]?[0-9\.]+)(e[+\-]?[0-9\.]+)$/i) |
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50
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75
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{ |
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76
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0
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0
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my $pree = $1; |
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77
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0
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0
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my $e = $2; |
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78
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0
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0
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return(sigdig($pree,$places,$pad).$e); |
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79
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} |
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80
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#If there's an exponent and no preceding number |
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81
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elsif($new_num =~ /^([+\-]?)e[+\-]?[0-9\.]+$/i) |
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82
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{ |
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83
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0
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0
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my $sign = $1; |
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84
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0
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0
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my $e = $2; |
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85
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0
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0
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return(sigdig($sign.'1',$places,$pad).$e); |
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86
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} |
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87
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#Pad the number |
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88
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else |
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89
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{ |
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90
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1
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50
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42
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if($new_num !~ /\./) |
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1
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3
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91
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{$new_num .= '.'} |
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92
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1
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3
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$new_num .= '0' x ($pad - $cur_sig_dig); |
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93
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1
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3
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return($new_num); |
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94
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} |
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95
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} |
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96
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97
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1
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3
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return($new_num); |
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98
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} |
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99
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100
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#If there's an exponent with a preceding number |
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101
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7
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100
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33
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108
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if($num =~ /^([+\-]?[0-9\.]*)(e[+\-]?[0-9\.]+)$/i) |
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50
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33
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50
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102
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{ |
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103
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1
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3
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my $pree = $1; |
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104
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1
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3
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my $e = $2; |
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105
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1
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50
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4
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$pree = $pree . '1' if($pree !~ /\d/); |
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106
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1
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14
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return(sigdig($pree,$places,$pad).$e); |
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107
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} |
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108
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elsif($num =~ /[^0-9\.+\-]/ || $num =~ /\..*\./ || $num =~ /.[+\-]/) |
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109
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{ |
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110
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0
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0
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print STDERR ("ERROR:sigdig(): Invalid number format: [$num]."); |
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111
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0
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0
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return($num); |
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112
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} |
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113
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elsif($num == 0) |
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114
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{ |
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115
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0
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0
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0
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if($pad) |
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116
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{ |
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117
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0
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0
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$new_num = '0.'; |
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118
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0
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0
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0
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if($new_num !~ /\./) |
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0
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0
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119
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{$new_num .= '.'} |
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120
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0
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0
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$new_num .= '0' x $pad; |
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121
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0
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0
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return($new_num); |
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122
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} |
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123
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0
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0
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return(0); |
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124
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} |
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125
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126
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6
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7
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my $first_real = 0; |
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127
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6
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6
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my $num_added = 0; |
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128
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6
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7
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my $decimal_seen = 0; |
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129
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6
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6
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my $last_digit = 0; |
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130
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6
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7
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my $sign = ''; |
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131
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6
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35
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foreach my $digit (unpack("(A)*",$num)) |
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132
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{ |
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133
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34
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100
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80
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if($digit =~ /\+|-/) |
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134
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{ |
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135
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1
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3
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$sign = $digit; |
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136
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1
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2
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next; |
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137
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} |
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138
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33
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100
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75
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if($digit =~ /[1-9]/) |
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23
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100
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25
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139
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{$first_real = 1} |
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140
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elsif($digit eq '.') |
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141
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{ |
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142
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6
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7
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$decimal_seen = 1; |
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143
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6
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50
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19
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if($new_num eq '') |
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0
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0
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144
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{$new_num = '0'} |
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145
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6
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100
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11
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if($num_added < $places) |
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5
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50
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7
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146
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0
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0
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{$new_num .= '.'} |
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147
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elsif($num_added > $places) |
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148
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{last} |
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149
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6
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6
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next; |
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150
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} |
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151
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152
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27
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50
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37
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if($first_real) |
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0
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153
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0
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0
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{ |
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154
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27
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100
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37
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if($num_added < $places) |
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50
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0
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155
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{ |
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156
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21
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21
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$new_num .= $digit; |
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157
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21
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21
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$num_added++; |
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158
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} |
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159
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elsif($num_added == $places) |
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160
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{ |
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161
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6
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100
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14
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if($digit >= 5) |
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162
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{ |
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163
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#This gets rid of the decimal |
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164
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1
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8
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my $tmp_num = join("",split(/\D*/,$new_num)) + 1; |
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165
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1
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50
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6
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if($new_num =~ /\.(\d*)$/) |
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166
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{ |
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167
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1
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2
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my $len = length($1); |
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168
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1
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50
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17
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unless($tmp_num =~ s/(?=\d{$len}\Z)/./) |
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169
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{ |
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170
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0
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0
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0
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if($new_num =~ /^(0\.0+)/) |
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0
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0
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171
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{$tmp_num = "$1$tmp_num"} |
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172
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} |
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173
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} |
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174
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1
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3
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$new_num = $tmp_num; |
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175
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} |
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176
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177
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#If we haven't gotten to the end of the whole number yet |
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178
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6
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50
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8
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if(!$decimal_seen) |
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179
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6
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10
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{ |
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180
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0
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0
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$new_num .= '0'; |
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181
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0
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0
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$num_added++; |
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182
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} |
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183
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else |
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184
|
|
|
|
|
|
|
{last} |
|
185
|
|
|
|
|
|
|
} |
|
186
|
|
|
|
|
|
|
elsif(!$decimal_seen) |
|
187
|
0
|
|
|
|
|
0
|
{ |
|
188
|
0
|
|
|
|
|
0
|
$new_num .= '0'; |
|
189
|
0
|
|
|
|
|
0
|
$num_added++; |
|
190
|
|
|
|
|
|
|
} |
|
191
|
|
|
|
|
|
|
else |
|
192
|
|
|
|
|
|
|
{last} |
|
193
|
21
|
|
|
|
|
25
|
$last_digit = $digit; |
|
194
|
|
|
|
|
|
|
} |
|
195
|
|
|
|
|
|
|
elsif($decimal_seen) |
|
196
|
|
|
|
|
|
|
{$new_num .= '0'} |
|
197
|
|
|
|
|
|
|
} |
|
198
|
|
|
|
|
|
|
|
|
199
|
6
|
100
|
|
|
|
22
|
if($pad) |
|
|
|
100
|
|
|
|
|
|
|
200
|
|
|
|
|
|
|
{ |
|
201
|
1
|
|
|
|
|
3
|
my $cur_sig_dig = getsigdig($new_num); |
|
202
|
1
|
50
|
33
|
|
|
5
|
if($pad > $cur_sig_dig && $new_num !~ /\./) |
|
|
0
|
|
|
|
|
0
|
|
|
203
|
|
|
|
|
|
|
{$new_num .= '.'} |
|
204
|
1
|
|
|
|
|
2
|
$new_num .= '0' x ($pad - $cur_sig_dig); |
|
205
|
|
|
|
|
|
|
} |
|
206
|
|
|
|
|
|
|
#Trim the trailing zeros |
|
207
|
|
|
|
|
|
|
elsif($new_num =~ /\./i) |
|
208
|
|
|
|
|
|
|
{ |
|
209
|
4
|
|
|
|
|
8
|
$new_num =~ s/0+$//; |
|
210
|
4
|
|
|
|
|
6
|
$new_num =~ s/\.$//; |
|
211
|
|
|
|
|
|
|
} |
|
212
|
|
|
|
|
|
|
|
|
213
|
6
|
|
|
|
|
26
|
return("$sign$new_num"); |
|
214
|
|
|
|
|
|
|
} |
|
215
|
|
|
|
|
|
|
|
|
216
|
|
|
|
|
|
|
sub getsigdig |
|
217
|
|
|
|
|
|
|
{ |
|
218
|
11
|
|
|
11
|
0
|
1331
|
my $num = $_[0]; |
|
219
|
11
|
100
|
|
|
|
19
|
my $nowholetail = defined($_[1]) ? $_[1] : 0; |
|
220
|
11
|
100
|
|
|
|
18
|
my $nodecimaltail = defined($_[2]) ? $_[2] : 0; |
|
221
|
|
|
|
|
|
|
|
|
222
|
|
|
|
|
|
|
#Remove sign |
|
223
|
11
|
|
|
|
|
28
|
$num =~ s/[+\-]+//g; |
|
224
|
|
|
|
|
|
|
|
|
225
|
|
|
|
|
|
|
#Repair exponents with assumed 1s |
|
226
|
11
|
50
|
|
|
|
32
|
if($num =~ /^e/i) |
|
|
0
|
|
|
|
|
0
|
|
|
227
|
|
|
|
|
|
|
{$num = "1$num"} |
|
228
|
|
|
|
|
|
|
#Remove exponent |
|
229
|
11
|
|
|
|
|
35
|
$num =~ s/e.*//i; |
|
230
|
|
|
|
|
|
|
|
|
231
|
|
|
|
|
|
|
#Remove leading zeros |
|
232
|
11
|
|
|
|
|
18
|
$num =~ s/^0+//; |
|
233
|
|
|
|
|
|
|
|
|
234
|
|
|
|
|
|
|
#If $nowholetail is true and there's no decimal point, remove trailing |
|
235
|
|
|
|
|
|
|
#whole-number zeros |
|
236
|
11
|
100
|
100
|
|
|
31
|
$num =~ s/0+$// if($nowholetail && $num !~ /\./); |
|
237
|
|
|
|
|
|
|
|
|
238
|
|
|
|
|
|
|
#Remove decimal point |
|
239
|
11
|
|
|
|
|
31
|
$num =~ s/\.//; |
|
240
|
|
|
|
|
|
|
|
|
241
|
|
|
|
|
|
|
#If $nodecimaltail is true, remove all trailing zeros |
|
242
|
11
|
100
|
|
|
|
20
|
$num =~ s/0+$// if($nodecimaltail); |
|
243
|
|
|
|
|
|
|
|
|
244
|
11
|
|
|
|
|
22
|
return(length($num)); |
|
245
|
|
|
|
|
|
|
} |
|
246
|
|
|
|
|
|
|
|
|
247
|
|
|
|
|
|
|
|
|
248
|
|
|
|
|
|
|
|
|
249
|
|
|
|
|
|
|
|
|
250
|
|
|
|
|
|
|
|
|
251
|
|
|
|
|
|
|
|
|
252
|
|
|
|
|
|
|
1; |
|
253
|
|
|
|
|
|
|
__END__ |