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71
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71
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26628
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use 5.010001; |
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71
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260
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2
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71
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71
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341
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use strict; |
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71
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131
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71
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1225
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3
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71
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71
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287
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use warnings; |
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71
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117
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71
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4477
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4
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5
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package BSON::Decimal128; |
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# ABSTRACT: BSON type wrapper for Decimal128 |
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7
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8
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71
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71
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329
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use version; |
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71
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138
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71
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280
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9
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our $VERSION = 'v1.12.0'; |
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10
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11
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71
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71
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4887
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use Carp; |
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71
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169
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71
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4095
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12
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71
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71
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707
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use Math::BigInt; |
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71
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1539269
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71
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381
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13
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14
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71
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71
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1294276
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use Moo; |
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71
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197
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71
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597
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15
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16
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#pod =attr value |
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17
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#pod |
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18
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#pod The Decimal128 value represented as string. If not provided, it will be |
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19
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#pod generated from the C attribute on demand. |
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20
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#pod |
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21
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#pod =cut |
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22
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23
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has 'value' => ( |
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24
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is => 'lazy', |
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25
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); |
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26
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27
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#pod =attr bytes |
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28
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#pod |
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29
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#pod The Decimal128 value represented in L
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30
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#pod Decimal|https://en.wikipedia.org/wiki/Binary_Integer_Decimal> (BID) format. |
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31
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#pod If not provided, it will be generated from the C attribute on |
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32
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#pod demand. |
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33
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#pod |
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34
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#pod =cut |
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35
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36
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has 'bytes' => ( |
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37
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is => 'lazy', |
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38
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); |
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39
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40
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71
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71
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26002
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use namespace::clean -except => 'meta'; |
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71
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156
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71
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658
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41
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42
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use constant { |
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43
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71
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94970
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PLIM => 34, # precision limit, i.e. max coefficient chars |
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44
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EMAX => 6144, # for 9.999999999999999999999999999999999E+6144 |
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45
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EMIN => -6143, # for 1.000000000000000000000000000000000E-6143 |
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46
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AEMAX => 6111, # EMAX - (PLIM - 1); largest encodable exponent |
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47
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AEMIN => -6176, # EMIN - (PLIM - 1); smallest encodable exponent |
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48
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BIAS => 6176, # offset for encoding exponents |
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49
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71
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71
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23247
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}; |
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71
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151
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50
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51
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my $digits = qr/[0-9]+/; |
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52
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my $decimal_re = qr{ |
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53
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( [-+]? ) # maybe a sign |
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54
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( (?:$digits \. $digits? ) | (?: \.? $digits ) ) # decimal-part |
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55
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( (?:e [-+]? $digits)? ) # maybe exponent |
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56
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}ix; |
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57
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58
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sub _build_value { |
|
59
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605
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605
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|
5597
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return _bid_to_string( $_[0]->{bytes} ); |
|
60
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} |
|
61
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62
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sub _build_bytes { |
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63
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1965
|
|
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1965
|
|
13098
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return _string_to_bid( $_[0]->{value} ); |
|
64
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} |
|
65
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66
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sub BUILD { |
|
67
|
3172
|
|
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3172
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0
|
95147
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my $self = shift; |
|
68
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69
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croak "One and only one of 'value' or 'bytes' must be provided" |
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70
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3172
|
100
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5186
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unless 1 == grep { exists $self->{$_} } qw/value bytes/; |
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6344
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15174
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71
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72
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# must check for errors and canonicalize value if provided |
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73
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3171
|
100
|
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5807
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if (exists $self->{value}) { |
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74
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1965
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26600
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$self->{value} = _bid_to_string( $self->bytes ); |
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75
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} |
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76
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77
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3040
|
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16176
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return; |
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78
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} |
|
79
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80
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sub _bid_to_string { |
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81
|
2439
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|
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2439
|
|
3718
|
my $bid = shift; |
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82
|
2439
|
|
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|
5965
|
my $binary = unpack( "B*", scalar reverse($bid) ); |
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83
|
2439
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|
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|
3456
|
my ( $coef, $e ); |
|
84
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85
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# sign bit |
|
86
|
2439
|
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3934
|
my $pos = !substr( $binary, 0, 1 ); |
|
87
|
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88
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# detect special values from first 5 bits after sign bit |
|
89
|
2439
|
|
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3180
|
my $special = substr( $binary, 1, 5 ); |
|
90
|
2439
|
100
|
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|
4509
|
if ( $special eq "11111" ) { |
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91
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29
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88
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return "NaN"; |
|
92
|
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} |
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93
|
2410
|
100
|
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3439
|
if ( $special eq "11110" ) { |
|
94
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66
|
100
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|
216
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return $pos ? "Infinity" : "-Infinity"; |
|
95
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} |
|
96
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97
|
2344
|
100
|
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|
4101
|
if ( substr( $binary, 1, 2 ) eq '11' ) { |
|
98
|
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# Bits: 1*sign 2*ignored 14*exponent 111*significand. |
|
99
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# Implicit 0b100 prefix in significand. |
|
100
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3
|
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19
|
$coef = "" . Math::BigInt->new( "0b100" . substr( $binary, 17 ) ); |
|
101
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3
|
|
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1348
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$e = unpack( "n", pack( "B*", "00" . substr( $binary, 3, 14 ) ) ) - BIAS; |
|
102
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} |
|
103
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else { |
|
104
|
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# Bits: 1*sign 14*exponent 113*significand |
|
105
|
2341
|
|
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|
|
8341
|
$coef = "" . Math::BigInt->new( "0b" . substr( $binary, 15 ) ); |
|
106
|
2341
|
|
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589459
|
$e = unpack( "n", pack( "B*", "00" . substr( $binary, 1, 14 ) ) ) - BIAS; |
|
107
|
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} |
|
108
|
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|
|
109
|
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# Out of range is treated as zero |
|
110
|
2344
|
100
|
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|
5386
|
if ( length($coef) > PLIM ) { |
|
111
|
3
|
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|
6
|
$coef = "0"; |
|
112
|
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|
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} |
|
113
|
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|
|
114
|
|
|
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|
|
|
# Shortcut on zero |
|
115
|
2344
|
100
|
100
|
|
|
6532
|
if ( $coef == 0 && $e == 0 ) { |
|
116
|
101
|
100
|
|
|
|
375
|
return $pos ? "0" : "-0"; |
|
117
|
|
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} |
|
118
|
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119
|
|
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|
|
# convert to scientific form ( e.g. 123E+4 -> 1.23E6 ) |
|
120
|
2243
|
|
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|
|
3368
|
my $adj_exp = $e + length($coef) - 1; |
|
121
|
|
|
|
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|
|
# warn "# XXX COEF: $coef; EXP: $e; AEXP: $adj_exp\n"; |
|
122
|
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123
|
|
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|
|
|
|
# exponential notation |
|
124
|
2243
|
100
|
100
|
|
|
5950
|
if ( $e > 0 || $adj_exp < -6 ) { |
|
125
|
|
|
|
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|
|
# insert decimal if more than one digit |
|
126
|
1244
|
100
|
|
|
|
2319
|
if ( length($coef) > 1 ) { |
|
127
|
696
|
|
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|
|
1168
|
substr( $coef, 1, 0, "." ); |
|
128
|
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} |
|
129
|
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130
|
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return ( |
|
131
|
1244
|
100
|
|
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|
5699
|
( $pos ? "" : "-" ) . $coef . "E" . ( $adj_exp >= 0 ? "+" : "" ) . $adj_exp ); |
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|
100
|
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|
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|
|
132
|
|
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|
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} |
|
133
|
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|
134
|
|
|
|
|
|
|
# not exponential notation (integers or small negative exponents) |
|
135
|
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else { |
|
136
|
|
|
|
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|
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# e == 0 means integer |
|
137
|
999
|
100
|
|
|
|
2466
|
return $pos ? $coef : "-$coef" |
|
|
|
100
|
|
|
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|
|
138
|
|
|
|
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|
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if $e == 0; |
|
139
|
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|
140
|
|
|
|
|
|
|
# pad with leading zeroes if coefficient is too short |
|
141
|
694
|
100
|
|
|
|
1207
|
if ( length($coef) < abs($e) ) { |
|
142
|
348
|
|
|
|
|
812
|
substr( $coef, 0, 0, "0" x ( abs($e) - length($coef) ) ); |
|
143
|
|
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|
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} |
|
144
|
|
|
|
|
|
|
|
|
145
|
|
|
|
|
|
|
# maybe coefficient is exact length? |
|
146
|
694
|
100
|
|
|
|
2485
|
return $pos ? "0.$coef" : "-0.$coef" |
|
|
|
100
|
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|
147
|
|
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|
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|
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if length($coef) == abs($e); |
|
148
|
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|
|
149
|
|
|
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|
|
# otherwise length(coef) > abs($e), so insert dot after first digit |
|
150
|
237
|
|
|
|
|
383
|
substr( $coef, $e, 0, "." ); |
|
151
|
237
|
100
|
|
|
|
877
|
return $pos ? $coef : "-$coef"; |
|
152
|
|
|
|
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|
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} |
|
153
|
|
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|
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|
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} |
|
154
|
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155
|
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my ( $bidNaN, $bidPosInf, $bidNegInf ) = |
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156
|
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map { scalar reverse pack( "B*", $_ . ( "0" x 118 ) ) } qw/ 011111 011110 111110 /; |
|
157
|
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|
158
|
119
|
|
|
119
|
|
9391
|
sub _croak { croak("Couldn't parse '$_[0]' as valid Decimal128") } |
|
159
|
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|
160
|
3
|
|
|
3
|
|
227
|
sub _erange { croak("Value '$_[0]' is out of range for Decimal128") } |
|
161
|
|
|
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|
162
|
9
|
|
|
9
|
|
715
|
sub _erounding { croak("Value '$_[0]' can't be rounded to Decimal128") } |
|
163
|
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164
|
|
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|
|
sub _string_to_bid { |
|
165
|
1965
|
|
|
1965
|
|
2841
|
my $s = shift; |
|
166
|
|
|
|
|
|
|
|
|
167
|
|
|
|
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|
|
# Check special values |
|
168
|
1965
|
100
|
|
|
|
4884
|
return $bidNaN if $s =~ /\A -? NaN \z/ix; |
|
169
|
1946
|
100
|
|
|
|
4144
|
return $bidPosInf if $s =~ /\A \+?Inf(?:inity)? \z/ix; |
|
170
|
1921
|
100
|
|
|
|
3760
|
return $bidNegInf if $s =~ /\A -Inf(?:inity)? \z/ix; |
|
171
|
|
|
|
|
|
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|
|
172
|
|
|
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|
|
|
# Parse string |
|
173
|
1896
|
|
|
|
|
13587
|
my ( $sign, $mant, $exp ) = $s =~ /\A $decimal_re \z/x; |
|
174
|
1896
|
100
|
|
|
|
4074
|
$sign = "" unless defined $sign; |
|
175
|
1896
|
100
|
100
|
|
|
6212
|
$exp = 0 unless defined $exp && length($exp); |
|
176
|
1896
|
|
|
|
|
4239
|
$exp =~ s{^e}{}i; |
|
177
|
|
|
|
|
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|
|
178
|
|
|
|
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|
|
# Throw error if unparseable |
|
179
|
1896
|
100
|
66
|
|
|
5580
|
_croak($s) unless length $exp && defined $mant; |
|
180
|
|
|
|
|
|
|
|
|
181
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# Extract sign bit |
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182
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1777
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100
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66
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5085
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my $neg = defined($sign) && $sign eq '-' ? "1" : "0"; |
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183
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184
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# Remove leading zeroes unless "0." |
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185
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1777
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3007
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$mant =~ s{^(?:0(?!\.))+}{}; |
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186
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187
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# Locate decimal, remove it and adjust the exponent |
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188
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1777
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2908
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my $dot = index( $mant, "." ); |
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189
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1777
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3272
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$mant =~ s/\.//; |
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190
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1777
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100
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3820
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$exp += $dot - length($mant) if $dot >= 0; |
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191
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192
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# Remove leading zeros from mantissa (after decimal point removed) |
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193
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1777
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2655
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$mant =~ s/^0+//; |
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194
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1777
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100
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2987
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$mant = "0" unless length $mant; |
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195
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196
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# Apply exact rounding if necessary |
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197
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1777
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100
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4061
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if ( length($mant) > PLIM ) { |
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100
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198
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17
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24
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my $plim = PLIM; |
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199
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17
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133
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$mant =~ s{(.{$plim})(0+)$}{$1}; |
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200
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17
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100
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66
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80
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$exp += length($2) if defined $2 && length $2; |
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201
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} |
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202
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elsif ( $exp < AEMIN ) { |
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203
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11
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21
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$mant =~ s{(.*[1-9])(0+)$}{$1}; |
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204
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11
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100
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66
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39
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$exp += length($2) if defined $2 && length $2; |
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205
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} |
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206
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207
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# Apply clamping if possible |
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208
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1777
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100
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100
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5002
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if ( $mant == 0 ) { |
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100
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209
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482
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100
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1033
|
if ( $exp > AEMAX ) { |
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100
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210
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12
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15
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$mant = "0"; |
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211
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12
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16
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$exp = AEMAX; |
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212
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} |
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213
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elsif ( $exp < AEMIN ) { |
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214
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8
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12
|
$mant = "0"; |
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215
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8
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10
|
$exp = AEMIN; |
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216
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} |
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217
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} |
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218
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elsif ( $exp > AEMAX && $exp - AEMAX <= PLIM - length($mant) ) { |
|
219
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76
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197
|
$mant .= "0" x ( $exp - AEMAX ); |
|
220
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76
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125
|
$exp = AEMAX; |
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221
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} |
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222
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223
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|
# Throw errors if result won't fit in Decimal128 |
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224
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1777
|
100
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2771
|
_erounding($s) if length($mant) > PLIM; |
|
225
|
1768
|
100
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100
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4828
|
_erange($s) if $exp > AEMAX || $exp < AEMIN; |
|
226
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227
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|
# Get binary representation of coefficient |
|
228
|
1765
|
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|
5100
|
my $coef = Math::BigInt->new($mant)->as_bin; |
|
229
|
1765
|
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|
189301
|
$coef =~ s/^0b//; |
|
230
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231
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|
|
# Get 14-bit binary representation of biased exponent |
|
232
|
1765
|
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|
6287
|
my $biased_exp = unpack( "B*", pack( "n", $exp + BIAS ) ); |
|
233
|
1765
|
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|
3688
|
substr( $biased_exp, 0, 2, "" ); |
|
234
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235
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|
|
# Choose representation based on coefficient length |
|
236
|
1765
|
|
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|
2347
|
my $coef_len = length($coef); |
|
237
|
1765
|
50
|
|
|
|
3144
|
if ( $coef_len <= 113 ) { |
|
|
|
0
|
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|
238
|
1765
|
|
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|
|
4126
|
substr( $coef, 0, 0, "0" x ( 113 - $coef_len ) ); |
|
239
|
1765
|
|
|
|
|
10680
|
return scalar reverse pack( "B*", $neg . $biased_exp . $coef ); |
|
240
|
|
|
|
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|
|
} |
|
241
|
|
|
|
|
|
|
elsif ( $coef_len <= 114 ) { |
|
242
|
0
|
|
|
|
|
0
|
substr( $coef, 0, 3, "" ); |
|
243
|
0
|
|
|
|
|
0
|
return scalar reverse pack( "B*", $neg . "11" . $biased_exp . $coef ); |
|
244
|
|
|
|
|
|
|
} |
|
245
|
|
|
|
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|
|
else { |
|
246
|
0
|
|
|
|
|
0
|
_erange($s); |
|
247
|
|
|
|
|
|
|
} |
|
248
|
|
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|
|
} |
|
249
|
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|
250
|
|
|
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|
|
|
#pod =method TO_JSON |
|
251
|
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|
|
#pod |
|
252
|
|
|
|
|
|
|
#pod Returns the value as a string. |
|
253
|
|
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|
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|
|
#pod |
|
254
|
|
|
|
|
|
|
#pod If the C option is true, it will instead |
|
255
|
|
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|
|
|
|
#pod be compatible with MongoDB's L |
|
256
|
|
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|
|
|
#pod format, which represents it as a document as follows: |
|
257
|
|
|
|
|
|
|
#pod |
|
258
|
|
|
|
|
|
|
#pod {"$numberDecimal" : "2.23372036854775807E+57"} |
|
259
|
|
|
|
|
|
|
#pod |
|
260
|
|
|
|
|
|
|
#pod =cut |
|
261
|
|
|
|
|
|
|
|
|
262
|
|
|
|
|
|
|
sub TO_JSON { |
|
263
|
1522
|
100
|
|
1522
|
1
|
3495
|
return "" . $_[0]->value unless $ENV{BSON_EXTJSON}; |
|
264
|
1519
|
|
|
|
|
28916
|
return { '$numberDecimal' => "" . ($_[0]->value) }; |
|
265
|
|
|
|
|
|
|
} |
|
266
|
|
|
|
|
|
|
|
|
267
|
|
|
|
|
|
|
use overload ( |
|
268
|
2
|
|
|
2
|
|
641
|
q{""} => sub { $_[0]->value }, |
|
269
|
71
|
|
|
|
|
662
|
fallback => 1, |
|
270
|
71
|
|
|
71
|
|
587
|
); |
|
|
71
|
|
|
|
|
160
|
|
|
271
|
|
|
|
|
|
|
|
|
272
|
|
|
|
|
|
|
1; |
|
273
|
|
|
|
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|
274
|
|
|
|
|
|
|
=pod |
|
275
|
|
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|
|
|
|
|
|
276
|
|
|
|
|
|
|
=encoding UTF-8 |
|
277
|
|
|
|
|
|
|
|
|
278
|
|
|
|
|
|
|
=head1 NAME |
|
279
|
|
|
|
|
|
|
|
|
280
|
|
|
|
|
|
|
BSON::Decimal128 - BSON type wrapper for Decimal128 |
|
281
|
|
|
|
|
|
|
|
|
282
|
|
|
|
|
|
|
=head1 VERSION |
|
283
|
|
|
|
|
|
|
|
|
284
|
|
|
|
|
|
|
version v1.12.0 |
|
285
|
|
|
|
|
|
|
|
|
286
|
|
|
|
|
|
|
=head1 SYNOPSIS |
|
287
|
|
|
|
|
|
|
|
|
288
|
|
|
|
|
|
|
use BSON::Types ':all'; |
|
289
|
|
|
|
|
|
|
|
|
290
|
|
|
|
|
|
|
# string representation |
|
291
|
|
|
|
|
|
|
$decimal = bson_decimal128( "1.23456789E+1000" ); |
|
292
|
|
|
|
|
|
|
|
|
293
|
|
|
|
|
|
|
# binary representation in BID format |
|
294
|
|
|
|
|
|
|
$decimal = BSON::Decimal128->new( bytes => $bid ) |
|
295
|
|
|
|
|
|
|
|
|
296
|
|
|
|
|
|
|
=head1 DESCRIPTION |
|
297
|
|
|
|
|
|
|
|
|
298
|
|
|
|
|
|
|
This module provides a BSON type wrapper for Decimal128 values. |
|
299
|
|
|
|
|
|
|
|
|
300
|
|
|
|
|
|
|
It may be initialized with either a numeric value in string form, or |
|
301
|
|
|
|
|
|
|
with a binary Decimal128 representation (16 bytes), but not both. |
|
302
|
|
|
|
|
|
|
|
|
303
|
|
|
|
|
|
|
Initialization from a string will throw an error if the string cannot be |
|
304
|
|
|
|
|
|
|
parsed as a Decimal128 or if the resulting number would not fit into 128 |
|
305
|
|
|
|
|
|
|
bits. If required, clamping or exact rounding will be applied to try to |
|
306
|
|
|
|
|
|
|
fit the value into 128 bits. |
|
307
|
|
|
|
|
|
|
|
|
308
|
|
|
|
|
|
|
=head1 ATTRIBUTES |
|
309
|
|
|
|
|
|
|
|
|
310
|
|
|
|
|
|
|
=head2 value |
|
311
|
|
|
|
|
|
|
|
|
312
|
|
|
|
|
|
|
The Decimal128 value represented as string. If not provided, it will be |
|
313
|
|
|
|
|
|
|
generated from the C attribute on demand. |
|
314
|
|
|
|
|
|
|
|
|
315
|
|
|
|
|
|
|
=head2 bytes |
|
316
|
|
|
|
|
|
|
|
|
317
|
|
|
|
|
|
|
The Decimal128 value represented in L
|
|
318
|
|
|
|
|
|
|
Decimal|https://en.wikipedia.org/wiki/Binary_Integer_Decimal> (BID) format. |
|
319
|
|
|
|
|
|
|
If not provided, it will be generated from the C attribute on |
|
320
|
|
|
|
|
|
|
demand. |
|
321
|
|
|
|
|
|
|
|
|
322
|
|
|
|
|
|
|
=head1 METHODS |
|
323
|
|
|
|
|
|
|
|
|
324
|
|
|
|
|
|
|
=head2 TO_JSON |
|
325
|
|
|
|
|
|
|
|
|
326
|
|
|
|
|
|
|
Returns the value as a string. |
|
327
|
|
|
|
|
|
|
|
|
328
|
|
|
|
|
|
|
If the C option is true, it will instead |
|
329
|
|
|
|
|
|
|
be compatible with MongoDB's L |
|
330
|
|
|
|
|
|
|
format, which represents it as a document as follows: |
|
331
|
|
|
|
|
|
|
|
|
332
|
|
|
|
|
|
|
{"$numberDecimal" : "2.23372036854775807E+57"} |
|
333
|
|
|
|
|
|
|
|
|
334
|
|
|
|
|
|
|
=for Pod::Coverage BUILD |
|
335
|
|
|
|
|
|
|
|
|
336
|
|
|
|
|
|
|
=head1 OVERLOADING |
|
337
|
|
|
|
|
|
|
|
|
338
|
|
|
|
|
|
|
The stringification operator (C<"">) is overloaded to return a (normalized) |
|
339
|
|
|
|
|
|
|
string representation. Fallback overloading is enabled. |
|
340
|
|
|
|
|
|
|
|
|
341
|
|
|
|
|
|
|
=head1 AUTHORS |
|
342
|
|
|
|
|
|
|
|
|
343
|
|
|
|
|
|
|
=over 4 |
|
344
|
|
|
|
|
|
|
|
|
345
|
|
|
|
|
|
|
=item * |
|
346
|
|
|
|
|
|
|
|
|
347
|
|
|
|
|
|
|
David Golden |
|
348
|
|
|
|
|
|
|
|
|
349
|
|
|
|
|
|
|
=item * |
|
350
|
|
|
|
|
|
|
|
|
351
|
|
|
|
|
|
|
Stefan G. |
|
352
|
|
|
|
|
|
|
|
|
353
|
|
|
|
|
|
|
=back |
|
354
|
|
|
|
|
|
|
|
|
355
|
|
|
|
|
|
|
=head1 COPYRIGHT AND LICENSE |
|
356
|
|
|
|
|
|
|
|
|
357
|
|
|
|
|
|
|
This software is Copyright (c) 2019 by Stefan G. and MongoDB, Inc. |
|
358
|
|
|
|
|
|
|
|
|
359
|
|
|
|
|
|
|
This is free software, licensed under: |
|
360
|
|
|
|
|
|
|
|
|
361
|
|
|
|
|
|
|
The Apache License, Version 2.0, January 2004 |
|
362
|
|
|
|
|
|
|
|
|
363
|
|
|
|
|
|
|
=cut |
|
364
|
|
|
|
|
|
|
|
|
365
|
|
|
|
|
|
|
__END__ |