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package bigfloat; |
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420002
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use strict; |
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92
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378
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use warnings; |
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use Carp qw< carp croak >; |
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876
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our $VERSION = '0.65'; |
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use Exporter; |
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1098
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our @ISA = qw( Exporter ); |
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our @EXPORT_OK = qw( PI e bpi bexp hex oct ); |
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our @EXPORT = qw( inf NaN ); |
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7075
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use overload; |
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6296
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76
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my $obj_class = "Math::BigFloat"; |
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############################################################################## |
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sub accuracy { |
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1
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7102
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my $self = shift; |
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$obj_class -> accuracy(@_); |
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} |
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26
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sub precision { |
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5
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1
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2723
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my $self = shift; |
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$obj_class -> precision(@_); |
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} |
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31
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sub round_mode { |
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5
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1
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1480
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my $self = shift; |
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5
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$obj_class -> round_mode(@_); |
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} |
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36
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sub div_scale { |
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0
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0
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1
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my $self = shift; |
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0
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0
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$obj_class -> div_scale(@_); |
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} |
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41
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sub upgrade { |
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1
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my $self = shift; |
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0
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$obj_class -> upgrade(@_); |
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} |
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46
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sub downgrade { |
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0
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1
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my $self = shift; |
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0
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0
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$obj_class -> downgrade(@_); |
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} |
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51
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sub in_effect { |
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6
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50
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6
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1
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my $level = shift || 0; |
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6
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32
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my $hinthash = (caller($level))[10]; |
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6
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24
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$hinthash->{bigfloat}; |
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} |
56
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57
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sub _float_constant { |
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10
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10
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18
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my $str = shift; |
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60
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# See if we can convert the input string to a string using a normalized form |
61
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# consisting of the significand as a signed integer, the character "e", and |
62
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# the exponent as a signed integer, e.g., "+0e+0", "+314e-2", and "-1e+3". |
63
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64
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11
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my $nstr; |
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66
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0
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33
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56
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if ( |
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0
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33
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0
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0
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67
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# See if it is an octal number. An octal number like '0377' is also |
68
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# accepted by the functions parsing decimal and hexadecimal numbers, so |
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# handle octal numbers before decimal and hexadecimal numbers. |
70
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71
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$str =~ /^0(?:[Oo]|_*[0-7])/ and |
72
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$nstr = Math::BigInt -> oct_str_to_dec_flt_str($str) |
73
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74
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or |
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76
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# See if it is decimal number. |
77
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78
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$nstr = Math::BigInt -> dec_str_to_dec_flt_str($str) |
79
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80
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or |
81
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82
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# See if it is a hexadecimal number. Every hexadecimal number has a |
83
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# prefix, but the functions parsing numbers don't require it, so check |
84
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# to see if it actually is a hexadecimal number. |
85
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86
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$str =~ /^0[Xx]/ and |
87
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$nstr = Math::BigInt -> hex_str_to_dec_flt_str($str) |
88
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89
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or |
90
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91
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# See if it is a binary numbers. Every binary number has a prefix, but |
92
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# the functions parsing numbers don't require it, so check to see if it |
93
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# actually is a binary number. |
94
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95
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$str =~ /^0[Bb]/ and |
96
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$nstr = Math::BigInt -> bin_str_to_dec_flt_str($str)) |
97
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{ |
98
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10
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1220
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return $obj_class -> new($nstr); |
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} |
100
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101
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# If we get here, there is a bug in the code above this point. |
102
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103
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0
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0
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warn "Internal error: unable to handle literal constant '$str'.", |
104
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" This is a bug, so please report this to the module author."; |
105
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0
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0
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return $obj_class -> bnan(); |
106
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} |
107
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108
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############################################################################# |
109
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# the following two routines are for "use bigfloat qw/hex oct/;": |
110
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111
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15
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15
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4992
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use constant LEXICAL => $] > 5.009004; |
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15
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30
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15
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7808
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112
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113
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# Internal function with the same semantics as CORE::hex(). This function is |
114
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# not used directly, but rather by other front-end functions. |
115
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116
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sub _hex_core { |
117
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24
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24
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47
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my $str = shift; |
118
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119
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# Strip off, clean, and parse as much as we can from the beginning. |
120
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121
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24
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25
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my $x; |
122
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24
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50
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151
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if ($str =~ s/ ^ ( 0? [xX] )? ( [0-9a-fA-F]* ( _ [0-9a-fA-F]+ )* ) //x) { |
123
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24
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231
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my $chrs = $2; |
124
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24
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36
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$chrs =~ tr/_//d; |
125
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24
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50
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65
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$chrs = '0' unless CORE::length $chrs; |
126
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24
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83
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$x = $obj_class -> from_hex($chrs); |
127
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} else { |
128
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0
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0
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$x = $obj_class -> bzero(); |
129
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} |
130
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131
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# Warn about trailing garbage. |
132
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133
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24
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50
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4965
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if (CORE::length($str)) { |
134
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0
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0
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require Carp; |
135
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0
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0
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Carp::carp(sprintf("Illegal hexadecimal digit '%s' ignored", |
136
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substr($str, 0, 1))); |
137
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} |
138
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139
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24
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115
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return $x; |
140
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} |
141
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142
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# Internal function with the same semantics as CORE::oct(). This function is |
143
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# not used directly, but rather by other front-end functions. |
144
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145
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sub _oct_core { |
146
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24
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24
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39
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my $str = shift; |
147
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148
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24
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78
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$str =~ s/^\s*//; |
149
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150
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# Hexadecimal input. |
151
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152
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24
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50
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201
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return _hex_core($str) if $str =~ /^0?[xX]/; |
153
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154
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24
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28
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my $x; |
155
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156
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# Binary input. |
157
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158
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24
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50
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80
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if ($str =~ /^0?[bB]/) { |
159
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160
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# Strip off, clean, and parse as much as we can from the beginning. |
161
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162
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0
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0
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0
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if ($str =~ s/ ^ ( 0? [bB] )? ( [01]* ( _ [01]+ )* ) //x) { |
163
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0
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0
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my $chrs = $2; |
164
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0
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0
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$chrs =~ tr/_//d; |
165
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0
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0
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0
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$chrs = '0' unless CORE::length $chrs; |
166
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0
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0
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$x = $obj_class -> from_bin($chrs); |
167
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} |
168
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169
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# Warn about trailing garbage. |
170
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171
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0
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0
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0
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if (CORE::length($str)) { |
172
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0
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0
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require Carp; |
173
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0
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0
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Carp::carp(sprintf("Illegal binary digit '%s' ignored", |
174
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substr($str, 0, 1))); |
175
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} |
176
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177
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0
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0
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return $x; |
178
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} |
179
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180
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# Octal input. Strip off, clean, and parse as much as we can from the |
181
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# beginning. |
182
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183
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24
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50
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95
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if ($str =~ s/ ^ ( 0? [oO] )? ( [0-7]* ( _ [0-7]+ )* ) //x) { |
184
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24
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41
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my $chrs = $2; |
185
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24
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36
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$chrs =~ tr/_//d; |
186
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24
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50
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46
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$chrs = '0' unless CORE::length $chrs; |
187
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24
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78
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$x = $obj_class -> from_oct($chrs); |
188
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} |
189
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190
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# Warn about trailing garbage. CORE::oct() only warns about 8 and 9, but it |
191
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# is more helpful to warn about all invalid digits. |
192
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193
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24
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50
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4910
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if (CORE::length($str)) { |
194
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0
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0
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require Carp; |
195
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0
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0
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Carp::carp(sprintf("Illegal octal digit '%s' ignored", |
196
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substr($str, 0, 1))); |
197
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} |
198
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199
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24
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124
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return $x; |
200
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} |
201
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202
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{ |
203
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my $proto = LEXICAL ? '_' : ';$'; |
204
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0
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0
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0
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1
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0
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eval ' |
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0
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0
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205
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sub hex(' . $proto . ') {' . <<'.'; |
206
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my $str = @_ ? $_[0] : $_; |
207
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_hex_core($str); |
208
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} |
209
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. |
210
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211
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0
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0
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0
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1
|
0
|
eval ' |
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0
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0
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212
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|
sub oct(' . $proto . ') {' . <<'.'; |
213
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|
|
my $str = @_ ? $_[0] : $_; |
214
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_oct_core($str); |
215
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} |
216
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. |
217
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} |
218
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219
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############################################################################# |
220
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# the following two routines are for Perl 5.9.4 or later and are lexical |
221
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222
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my ($prev_oct, $prev_hex, $overridden); |
223
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224
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40
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100
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40
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|
3144
|
if (LEXICAL) { eval <<'.' } |
|
40
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50
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40
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591
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40
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50
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160
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40
|
100
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|
539
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100
|
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50
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50
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100
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225
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sub _hex(_) { |
226
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|
my $hh = (caller 0)[10]; |
227
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|
return $$hh{bigfloat} ? bigfloat::_hex_core($_[0]) |
228
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|
: $$hh{bigrat} ? bigrat::_hex_core($_[0]) |
229
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|
: $$hh{bigint} ? bigint::_hex_core($_[0]) |
230
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: $prev_hex ? &$prev_hex($_[0]) |
231
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: CORE::hex($_[0]); |
232
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} |
233
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234
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sub _oct(_) { |
235
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|
my $hh = (caller 0)[10]; |
236
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|
return $$hh{bigfloat} ? bigfloat::_oct_core($_[0]) |
237
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|
|
: $$hh{bigrat} ? bigrat::_oct_core($_[0]) |
238
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|
|
: $$hh{bigint} ? bigint::_oct_core($_[0]) |
239
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|
: $prev_oct ? &$prev_oct($_[0]) |
240
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: CORE::oct($_[0]); |
241
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} |
242
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|
. |
243
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244
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|
sub _override { |
245
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57
|
100
|
|
57
|
|
132
|
return if $overridden; |
246
|
15
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|
31
|
$prev_oct = *CORE::GLOBAL::oct{CODE}; |
247
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15
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23
|
$prev_hex = *CORE::GLOBAL::hex{CODE}; |
248
|
15
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15
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|
89
|
no warnings 'redefine'; |
|
15
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20
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15
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|
11619
|
|
249
|
15
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39
|
*CORE::GLOBAL::oct = \&_oct; |
250
|
15
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39
|
*CORE::GLOBAL::hex = \&_hex; |
251
|
15
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25
|
$overridden = 1; |
252
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|
} |
253
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254
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|
|
sub unimport { |
255
|
14
|
|
|
14
|
|
1300
|
$^H{bigfloat} = undef; # no longer in effect |
256
|
14
|
|
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|
|
34
|
overload::remove_constant('binary', '', 'float', '', 'integer'); |
257
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|
|
} |
258
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259
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|
|
sub import { |
260
|
57
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57
|
|
51678
|
my $class = shift; |
261
|
|
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262
|
57
|
|
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|
180
|
$^H{bigfloat} = 1; # we are in effect |
263
|
57
|
|
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|
|
118
|
$^H{bigint} = undef; |
264
|
57
|
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|
107
|
$^H{bigrat} = undef; |
265
|
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266
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|
|
# for newer Perls always override hex() and oct() with a lexical version: |
267
|
57
|
|
|
|
|
69
|
if (LEXICAL) { |
268
|
57
|
|
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|
|
102
|
_override(); |
269
|
|
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|
|
|
} |
270
|
|
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|
271
|
57
|
|
|
|
|
83
|
my @import = (); |
272
|
57
|
|
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|
64
|
my @a = (); # unrecognized arguments |
273
|
57
|
|
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|
61
|
my $ver; # version? |
274
|
|
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|
275
|
57
|
|
|
|
|
125
|
while (@_) { |
276
|
39
|
|
|
|
|
51
|
my $param = shift; |
277
|
|
|
|
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|
|
|
278
|
|
|
|
|
|
|
# Accuracy. |
279
|
|
|
|
|
|
|
|
280
|
39
|
100
|
|
|
|
103
|
if ($param =~ /^a(ccuracy)?$/) { |
281
|
2
|
|
|
|
|
5
|
push @import, 'accuracy', shift(); |
282
|
2
|
|
|
|
|
5
|
next; |
283
|
|
|
|
|
|
|
} |
284
|
|
|
|
|
|
|
|
285
|
|
|
|
|
|
|
# Precision. |
286
|
|
|
|
|
|
|
|
287
|
37
|
100
|
|
|
|
77
|
if ($param =~ /^p(recision)?$/) { |
288
|
2
|
|
|
|
|
3
|
push @import, 'precision', shift(); |
289
|
2
|
|
|
|
|
5
|
next; |
290
|
|
|
|
|
|
|
} |
291
|
|
|
|
|
|
|
|
292
|
|
|
|
|
|
|
# Rounding mode. |
293
|
|
|
|
|
|
|
|
294
|
35
|
50
|
|
|
|
62
|
if ($param eq 'round_mode') { |
295
|
0
|
|
|
|
|
0
|
push @import, 'round_mode', shift(); |
296
|
0
|
|
|
|
|
0
|
next; |
297
|
|
|
|
|
|
|
} |
298
|
|
|
|
|
|
|
|
299
|
|
|
|
|
|
|
# Backend library. |
300
|
|
|
|
|
|
|
|
301
|
35
|
100
|
|
|
|
110
|
if ($param =~ /^(l|lib|try|only)$/) { |
302
|
9
|
100
|
|
|
|
28
|
push @import, $param eq 'l' ? 'lib' : $param; |
303
|
9
|
50
|
|
|
|
25
|
push @import, shift() if @_; |
304
|
9
|
|
|
|
|
18
|
next; |
305
|
|
|
|
|
|
|
} |
306
|
|
|
|
|
|
|
|
307
|
26
|
50
|
|
|
|
60
|
if ($param =~ /^(v|version)$/) { |
308
|
0
|
|
|
|
|
0
|
$ver = 1; |
309
|
0
|
|
|
|
|
0
|
next; |
310
|
|
|
|
|
|
|
} |
311
|
|
|
|
|
|
|
|
312
|
26
|
50
|
|
|
|
42
|
if ($param =~ /^(t|trace)$/) { |
313
|
0
|
|
|
|
|
0
|
$obj_class .= "::Trace"; |
314
|
0
|
|
|
|
|
0
|
eval "require $obj_class"; |
315
|
0
|
0
|
|
|
|
0
|
die $@ if $@; |
316
|
0
|
|
|
|
|
0
|
next; |
317
|
|
|
|
|
|
|
} |
318
|
|
|
|
|
|
|
|
319
|
26
|
100
|
|
|
|
58
|
if ($param =~ /^(PI|e|bexp|bpi|hex|oct)\z/) { |
320
|
6
|
|
|
|
|
8
|
push @a, $param; |
321
|
6
|
|
|
|
|
9
|
next; |
322
|
|
|
|
|
|
|
} |
323
|
|
|
|
|
|
|
|
324
|
20
|
|
|
|
|
1878
|
croak("Unknown option '$param'"); |
325
|
|
|
|
|
|
|
} |
326
|
|
|
|
|
|
|
|
327
|
37
|
|
|
|
|
1911
|
eval "require $obj_class"; |
328
|
37
|
50
|
|
|
|
553321
|
die $@ if $@; |
329
|
37
|
|
|
|
|
180
|
$obj_class -> import(@import); |
330
|
|
|
|
|
|
|
|
331
|
37
|
50
|
|
|
|
162058
|
if ($ver) { |
332
|
0
|
|
|
|
|
0
|
printf "%-31s v%s\n", $class, $class -> VERSION(); |
333
|
0
|
|
|
|
|
0
|
printf " lib => %-23s v%s\n", |
334
|
|
|
|
|
|
|
$obj_class -> config("lib"), $obj_class -> config("lib_version"); |
335
|
0
|
|
|
|
|
0
|
printf "%-31s v%s\n", $obj_class, $obj_class -> VERSION(); |
336
|
0
|
|
|
|
|
0
|
exit; |
337
|
|
|
|
|
|
|
} |
338
|
|
|
|
|
|
|
|
339
|
37
|
|
|
|
|
1309
|
$class -> export_to_level(1, $class, @a); # export inf, NaN, etc. |
340
|
|
|
|
|
|
|
|
341
|
|
|
|
|
|
|
overload::constant |
342
|
|
|
|
|
|
|
|
343
|
|
|
|
|
|
|
# This takes care each number written as decimal integer and within the |
344
|
|
|
|
|
|
|
# range of what perl can represent as an integer, e.g., "314", but not |
345
|
|
|
|
|
|
|
# "3141592653589793238462643383279502884197169399375105820974944592307". |
346
|
|
|
|
|
|
|
|
347
|
|
|
|
|
|
|
integer => sub { |
348
|
|
|
|
|
|
|
#printf "Value '%s' handled by the 'integer' sub.\n", $_[0]; |
349
|
59
|
|
|
59
|
|
16063
|
my $str = shift; |
350
|
59
|
|
|
|
|
163
|
return $obj_class -> new($str); |
351
|
|
|
|
|
|
|
}, |
352
|
|
|
|
|
|
|
|
353
|
|
|
|
|
|
|
# This takes care of each number written with a decimal point and/or |
354
|
|
|
|
|
|
|
# using floating point notation, e.g., "3.", "3.0", "3.14e+2" (decimal), |
355
|
|
|
|
|
|
|
# "0b1.101p+2" (binary), "03.14p+2" and "0o3.14p+2" (octal), and |
356
|
|
|
|
|
|
|
# "0x3.14p+2" (hexadecimal). |
357
|
|
|
|
|
|
|
|
358
|
|
|
|
|
|
|
float => sub { |
359
|
|
|
|
|
|
|
#printf "# Value '%s' handled by the 'float' sub.\n", $_[0]; |
360
|
10
|
|
|
10
|
|
4231
|
_float_constant(shift); |
361
|
|
|
|
|
|
|
}, |
362
|
|
|
|
|
|
|
|
363
|
|
|
|
|
|
|
# Take care of each number written as an integer (no decimal point or |
364
|
|
|
|
|
|
|
# exponent) using binary, octal, or hexadecimal notation, e.g., "0b101" |
365
|
|
|
|
|
|
|
# (binary), "0314" and "0o314" (octal), and "0x314" (hexadecimal). |
366
|
|
|
|
|
|
|
|
367
|
|
|
|
|
|
|
binary => sub { |
368
|
|
|
|
|
|
|
#printf "# Value '%s' handled by the 'binary' sub.\n", $_[0]; |
369
|
10
|
|
|
10
|
|
9754
|
my $str = shift; |
370
|
10
|
100
|
|
|
|
56
|
return $obj_class -> new($str) if $str =~ /^0[XxBb]/; |
371
|
3
|
|
|
|
|
11
|
$obj_class -> from_oct($str); |
372
|
37
|
|
|
|
|
318
|
}; |
373
|
|
|
|
|
|
|
} |
374
|
|
|
|
|
|
|
|
375
|
11
|
|
|
11
|
1
|
5583
|
sub inf () { $obj_class -> binf(); } |
376
|
10
|
|
|
10
|
1
|
6586
|
sub NaN () { $obj_class -> bnan(); } |
377
|
|
|
|
|
|
|
|
378
|
|
|
|
|
|
|
# This should depend on the current accuracy/precision. Fixme! |
379
|
1
|
|
|
1
|
1
|
1101
|
sub PI () { $obj_class -> new('3.141592653589793238462643383279502884197'); } |
380
|
1
|
|
|
1
|
1
|
69
|
sub e () { $obj_class -> new('2.718281828459045235360287471352662497757'); } |
381
|
|
|
|
|
|
|
|
382
|
|
|
|
|
|
|
sub bpi ($) { |
383
|
1
|
|
|
1
|
1
|
5
|
my $up = Math::BigFloat -> upgrade(); # get current upgrading, if any ... |
384
|
1
|
|
|
|
|
10
|
Math::BigFloat -> upgrade(undef); # ... and disable |
385
|
|
|
|
|
|
|
|
386
|
1
|
|
|
|
|
10
|
my $x = Math::BigFloat -> bpi(@_); |
387
|
|
|
|
|
|
|
|
388
|
1
|
|
|
|
|
765
|
Math::BigFloat -> upgrade($up); # reset the upgrading |
389
|
|
|
|
|
|
|
|
390
|
1
|
|
|
|
|
9
|
return $x; |
391
|
|
|
|
|
|
|
} |
392
|
|
|
|
|
|
|
|
393
|
|
|
|
|
|
|
sub bexp ($$) { |
394
|
1
|
|
|
1
|
1
|
626
|
my $up = Math::BigFloat -> upgrade(); # get current upgrading, if any ... |
395
|
1
|
|
|
|
|
14
|
Math::BigFloat -> upgrade(undef); # ... and disable |
396
|
|
|
|
|
|
|
|
397
|
1
|
|
|
|
|
9
|
my $x = Math::BigFloat -> new(shift); |
398
|
1
|
|
|
|
|
66
|
$x -> bexp(@_); |
399
|
|
|
|
|
|
|
|
400
|
1
|
|
|
|
|
1225
|
Math::BigFloat -> upgrade($up); # reset the upgrading |
401
|
|
|
|
|
|
|
|
402
|
1
|
|
|
|
|
10
|
return $x; |
403
|
|
|
|
|
|
|
} |
404
|
|
|
|
|
|
|
|
405
|
|
|
|
|
|
|
1; |
406
|
|
|
|
|
|
|
|
407
|
|
|
|
|
|
|
__END__ |