line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
1
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71
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71
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29528
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use 5.010001; |
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71
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273
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2
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71
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71
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402
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use strict; |
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71
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139
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71
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1364
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3
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71
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71
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330
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use warnings; |
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71
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134
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71
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2134
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4
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5
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package BSON::Decimal128; |
6
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# ABSTRACT: BSON type wrapper for Decimal128 |
7
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8
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71
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71
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352
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use version; |
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71
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134
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71
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292
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9
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our $VERSION = 'v1.12.1'; |
10
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11
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71
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71
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5188
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use Carp; |
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71
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198
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71
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4434
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12
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71
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71
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744
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use Math::BigInt; |
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71
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1629855
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71
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450
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13
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14
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71
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71
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1393501
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use Moo; |
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71
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179
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71
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622
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15
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16
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#pod =attr value |
17
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#pod |
18
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#pod The Decimal128 value represented as string. If not provided, it will be |
19
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#pod generated from the C attribute on demand. |
20
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#pod |
21
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#pod =cut |
22
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23
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has 'value' => ( |
24
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is => 'lazy', |
25
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); |
26
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27
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#pod =attr bytes |
28
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#pod |
29
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#pod The Decimal128 value represented in L
|
30
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#pod Decimal|https://en.wikipedia.org/wiki/Binary_Integer_Decimal> (BID) format. |
31
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#pod If not provided, it will be generated from the C attribute on |
32
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#pod demand. |
33
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#pod |
34
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#pod =cut |
35
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36
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has 'bytes' => ( |
37
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is => 'lazy', |
38
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); |
39
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40
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71
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71
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27776
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use namespace::clean -except => 'meta'; |
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71
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177
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71
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669
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41
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42
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use constant { |
43
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71
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102246
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PLIM => 34, # precision limit, i.e. max coefficient chars |
44
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EMAX => 6144, # for 9.999999999999999999999999999999999E+6144 |
45
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EMIN => -6143, # for 1.000000000000000000000000000000000E-6143 |
46
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AEMAX => 6111, # EMAX - (PLIM - 1); largest encodable exponent |
47
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AEMIN => -6176, # EMIN - (PLIM - 1); smallest encodable exponent |
48
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BIAS => 6176, # offset for encoding exponents |
49
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71
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71
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24961
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}; |
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71
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155
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50
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51
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my $digits = qr/[0-9]+/; |
52
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my $decimal_re = qr{ |
53
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( [-+]? ) # maybe a sign |
54
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( (?:$digits \. $digits? ) | (?: \.? $digits ) ) # decimal-part |
55
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( (?:e [-+]? $digits)? ) # maybe exponent |
56
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}ix; |
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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6746
|
return _bid_to_string( $_[0]->{bytes} ); |
60
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} |
61
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62
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sub _build_bytes { |
63
|
1965
|
|
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1965
|
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16176
|
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
|
0
|
107784
|
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" |
70
|
3172
|
100
|
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|
|
6331
|
unless 1 == grep { exists $self->{$_} } qw/value bytes/; |
|
6344
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17659
|
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71
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72
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# must check for errors and canonicalize value if provided |
73
|
3171
|
100
|
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|
6710
|
if (exists $self->{value}) { |
74
|
1965
|
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30032
|
$self->{value} = _bid_to_string( $self->bytes ); |
75
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} |
76
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77
|
3040
|
|
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|
|
17484
|
return; |
78
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} |
79
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80
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sub _bid_to_string { |
81
|
2439
|
|
|
2439
|
|
4606
|
my $bid = shift; |
82
|
2439
|
|
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|
|
6811
|
my $binary = unpack( "B*", scalar reverse($bid) ); |
83
|
2439
|
|
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|
3797
|
my ( $coef, $e ); |
84
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85
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# sign bit |
86
|
2439
|
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4893
|
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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|
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3641
|
my $special = substr( $binary, 1, 5 ); |
90
|
2439
|
100
|
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|
5501
|
if ( $special eq "11111" ) { |
91
|
29
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106
|
return "NaN"; |
92
|
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|
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} |
93
|
2410
|
100
|
|
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|
4290
|
if ( $special eq "11110" ) { |
94
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66
|
100
|
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|
277
|
return $pos ? "Infinity" : "-Infinity"; |
95
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} |
96
|
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|
97
|
2344
|
100
|
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|
4760
|
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
|
3
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23
|
$coef = "" . Math::BigInt->new( "0b100" . substr( $binary, 17 ) ); |
101
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3
|
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1643
|
$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
|
|
|
|
|
9295
|
$coef = "" . Math::BigInt->new( "0b" . substr( $binary, 15 ) ); |
106
|
2341
|
|
|
|
|
712415
|
$e = unpack( "n", pack( "B*", "00" . substr( $binary, 1, 14 ) ) ) - BIAS; |
107
|
|
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} |
108
|
|
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|
109
|
|
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# Out of range is treated as zero |
110
|
2344
|
100
|
|
|
|
6280
|
if ( length($coef) > PLIM ) { |
111
|
3
|
|
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|
5
|
$coef = "0"; |
112
|
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} |
113
|
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|
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114
|
|
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|
# Shortcut on zero |
115
|
2344
|
100
|
100
|
|
|
8107
|
if ( $coef == 0 && $e == 0 ) { |
116
|
101
|
100
|
|
|
|
453
|
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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3745
|
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
|
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|
6896
|
if ( $e > 0 || $adj_exp < -6 ) { |
125
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# insert decimal if more than one digit |
126
|
1244
|
100
|
|
|
|
2526
|
if ( length($coef) > 1 ) { |
127
|
696
|
|
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|
|
1240
|
substr( $coef, 1, 0, "." ); |
128
|
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} |
129
|
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130
|
|
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|
return ( |
131
|
1244
|
100
|
|
|
|
6445
|
( $pos ? "" : "-" ) . $coef . "E" . ( $adj_exp >= 0 ? "+" : "" ) . $adj_exp ); |
|
|
100
|
|
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|
|
132
|
|
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} |
133
|
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134
|
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|
|
# not exponential notation (integers or small negative exponents) |
135
|
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else { |
136
|
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# e == 0 means integer |
137
|
999
|
100
|
|
|
|
2895
|
return $pos ? $coef : "-$coef" |
|
|
100
|
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138
|
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if $e == 0; |
139
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|
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|
140
|
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|
# pad with leading zeroes if coefficient is too short |
141
|
694
|
100
|
|
|
|
1356
|
if ( length($coef) < abs($e) ) { |
142
|
348
|
|
|
|
|
890
|
substr( $coef, 0, 0, "0" x ( abs($e) - length($coef) ) ); |
143
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|
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} |
144
|
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|
|
145
|
|
|
|
|
|
|
# maybe coefficient is exact length? |
146
|
694
|
100
|
|
|
|
2968
|
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($e); |
148
|
|
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149
|
|
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|
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|
|
# otherwise length(coef) > abs($e), so insert dot after first digit |
150
|
237
|
|
|
|
|
444
|
substr( $coef, $e, 0, "." ); |
151
|
237
|
100
|
|
|
|
951
|
return $pos ? $coef : "-$coef"; |
152
|
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} |
153
|
|
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|
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} |
154
|
|
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155
|
|
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|
my ( $bidNaN, $bidPosInf, $bidNegInf ) = |
156
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|
map { scalar reverse pack( "B*", $_ . ( "0" x 118 ) ) } qw/ 011111 011110 111110 /; |
157
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|
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158
|
119
|
|
|
119
|
|
9468
|
sub _croak { croak("Couldn't parse '$_[0]' as valid Decimal128") } |
159
|
|
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160
|
3
|
|
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3
|
|
235
|
sub _erange { croak("Value '$_[0]' is out of range for Decimal128") } |
161
|
|
|
|
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162
|
9
|
|
|
9
|
|
700
|
sub _erounding { croak("Value '$_[0]' can't be rounded to Decimal128") } |
163
|
|
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164
|
|
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|
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sub _string_to_bid { |
165
|
1965
|
|
|
1965
|
|
3068
|
my $s = shift; |
166
|
|
|
|
|
|
|
|
167
|
|
|
|
|
|
|
# Check special values |
168
|
1965
|
100
|
|
|
|
5944
|
return $bidNaN if $s =~ /\A -? NaN \z/ix; |
169
|
1946
|
100
|
|
|
|
4867
|
return $bidPosInf if $s =~ /\A \+?Inf(?:inity)? \z/ix; |
170
|
1921
|
100
|
|
|
|
4674
|
return $bidNegInf if $s =~ /\A -Inf(?:inity)? \z/ix; |
171
|
|
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172
|
|
|
|
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|
|
# Parse string |
173
|
1896
|
|
|
|
|
15677
|
my ( $sign, $mant, $exp ) = $s =~ /\A $decimal_re \z/x; |
174
|
1896
|
100
|
|
|
|
5226
|
$sign = "" unless defined $sign; |
175
|
1896
|
100
|
100
|
|
|
7401
|
$exp = 0 unless defined $exp && length($exp); |
176
|
1896
|
|
|
|
|
4544
|
$exp =~ s{^e}{}i; |
177
|
|
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|
|
|
|
|
178
|
|
|
|
|
|
|
# Throw error if unparseable |
179
|
1896
|
100
|
66
|
|
|
6683
|
_croak($s) unless length $exp && defined $mant; |
180
|
|
|
|
|
|
|
|
181
|
|
|
|
|
|
|
# Extract sign bit |
182
|
1777
|
100
|
66
|
|
|
6262
|
my $neg = defined($sign) && $sign eq '-' ? "1" : "0"; |
183
|
|
|
|
|
|
|
|
184
|
|
|
|
|
|
|
# Remove leading zeroes unless "0." |
185
|
1777
|
|
|
|
|
3777
|
$mant =~ s{^(?:0(?!\.))+}{}; |
186
|
|
|
|
|
|
|
|
187
|
|
|
|
|
|
|
# Locate decimal, remove it and adjust the exponent |
188
|
1777
|
|
|
|
|
3089
|
my $dot = index( $mant, "." ); |
189
|
1777
|
|
|
|
|
3947
|
$mant =~ s/\.//; |
190
|
1777
|
100
|
|
|
|
4246
|
$exp += $dot - length($mant) if $dot >= 0; |
191
|
|
|
|
|
|
|
|
192
|
|
|
|
|
|
|
# Remove leading zeros from mantissa (after decimal point removed) |
193
|
1777
|
|
|
|
|
3147
|
$mant =~ s/^0+//; |
194
|
1777
|
100
|
|
|
|
3521
|
$mant = "0" unless length $mant; |
195
|
|
|
|
|
|
|
|
196
|
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# Apply exact rounding if necessary |
197
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1777
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100
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5124
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if ( length($mant) > PLIM ) { |
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100
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198
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23
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my $plim = PLIM; |
199
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17
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166
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$mant =~ s{(.{$plim})(0+)$}{$1}; |
200
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17
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100
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66
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84
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$exp += length($2) if defined $2 && length $2; |
201
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} |
202
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elsif ( $exp < AEMIN ) { |
203
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11
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25
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$mant =~ s{(.*[1-9])(0+)$}{$1}; |
204
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11
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100
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66
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40
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$exp += length($2) if defined $2 && length $2; |
205
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} |
206
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# Apply clamping if possible |
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1777
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100
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100
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5715
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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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1470
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if ( $exp > AEMAX ) { |
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100
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210
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12
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20
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$mant = "0"; |
211
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37
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$exp = AEMAX; |
212
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} |
213
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elsif ( $exp < AEMIN ) { |
214
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8
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10
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$mant = "0"; |
215
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8
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12
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$exp = AEMIN; |
216
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} |
217
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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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185
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$mant .= "0" x ( $exp - AEMAX ); |
220
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76
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118
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$exp = AEMAX; |
221
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} |
222
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# Throw errors if result won't fit in Decimal128 |
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1777
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100
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3285
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_erounding($s) if length($mant) > PLIM; |
225
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1768
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100
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100
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5117
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_erange($s) if $exp > AEMAX || $exp < AEMIN; |
226
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227
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# Get binary representation of coefficient |
228
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1765
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6440
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my $coef = Math::BigInt->new($mant)->as_bin; |
229
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1765
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230933
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$coef =~ s/^0b//; |
230
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231
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# Get 14-bit binary representation of biased exponent |
232
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1765
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7563
|
my $biased_exp = unpack( "B*", pack( "n", $exp + BIAS ) ); |
233
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1765
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3958
|
substr( $biased_exp, 0, 2, "" ); |
234
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235
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# Choose representation based on coefficient length |
236
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1765
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2494
|
my $coef_len = length($coef); |
237
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1765
|
50
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3301
|
if ( $coef_len <= 113 ) { |
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0
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238
|
1765
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4892
|
substr( $coef, 0, 0, "0" x ( 113 - $coef_len ) ); |
239
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1765
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12699
|
return scalar reverse pack( "B*", $neg . $biased_exp . $coef ); |
240
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} |
241
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|
elsif ( $coef_len <= 114 ) { |
242
|
0
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|
0
|
substr( $coef, 0, 3, "" ); |
243
|
0
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0
|
return scalar reverse pack( "B*", $neg . "11" . $biased_exp . $coef ); |
244
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|
} |
245
|
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|
else { |
246
|
0
|
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|
0
|
_erange($s); |
247
|
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|
} |
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
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|
|
#pod Returns the value as a string. |
253
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|
#pod |
254
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|
#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
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|
|
#pod |
258
|
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|
|
#pod {"$numberDecimal" : "2.23372036854775807E+57"} |
259
|
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|
|
#pod |
260
|
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|
|
#pod =cut |
261
|
|
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|
|
262
|
|
|
|
|
|
|
sub TO_JSON { |
263
|
1522
|
100
|
|
1522
|
1
|
3615
|
return "" . $_[0]->value unless $ENV{BSON_EXTJSON}; |
264
|
1519
|
|
|
|
|
32138
|
return { '$numberDecimal' => "" . ($_[0]->value) }; |
265
|
|
|
|
|
|
|
} |
266
|
|
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|
|
|
|
267
|
|
|
|
|
|
|
use overload ( |
268
|
2
|
|
|
2
|
|
511
|
q{""} => sub { $_[0]->value }, |
269
|
71
|
|
|
|
|
666
|
fallback => 1, |
270
|
71
|
|
|
71
|
|
600
|
); |
|
71
|
|
|
|
|
186
|
|
271
|
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|
272
|
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|
|
1; |
273
|
|
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|
274
|
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|
|
=pod |
275
|
|
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|
|
276
|
|
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|
|
=encoding UTF-8 |
277
|
|
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|
|
278
|
|
|
|
|
|
|
=head1 NAME |
279
|
|
|
|
|
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|
|
280
|
|
|
|
|
|
|
BSON::Decimal128 - BSON type wrapper for Decimal128 |
281
|
|
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|
|
|
|
|
282
|
|
|
|
|
|
|
=head1 VERSION |
283
|
|
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|
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|
|
|
284
|
|
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|
|
|
|
version v1.12.1 |
285
|
|
|
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|
|
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__ |