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package bigint; |
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816251
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use strict; |
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394
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use warnings; |
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413
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use Carp qw< carp croak >; |
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929
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our $VERSION = '0.64'; |
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85
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use Exporter; |
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1235
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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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13831
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use overload; |
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11925
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74
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my $obj_class = "Math::BigInt"; |
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############################################################################## |
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sub accuracy { |
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5029
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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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1434
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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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1
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1492
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my $self = shift; |
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$obj_class -> round_mode(@_); |
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} |
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36
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sub div_scale { |
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1
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my $self = shift; |
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$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 $self = shift; |
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0
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0
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$obj_class -> upgrade(@_); |
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} |
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46
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sub downgrade { |
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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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2736
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my $level = shift || 0; |
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6
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42
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my $hinthash = (caller($level))[10]; |
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6
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30
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$hinthash->{bigint}; |
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} |
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57
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sub _float_constant { |
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7
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7
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my $str = shift; |
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60
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# We can't pass input directly to new() because of the way it handles the |
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# combination of non-integers with no upgrading. Such cases are by |
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# Math::BigInt returned as NaN, but we truncate to an integer. |
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64
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# See if we can convert the input string to a string using a normalized form |
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# consisting of the significand as a signed integer, the character "e", and |
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# the exponent as a signed integer, e.g., "+0e+0", "+314e-2", and "-1e+3". |
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68
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11
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my $nstr; |
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70
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7
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0
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56
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if ( |
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0
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33
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0
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0
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71
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# See if it is an octal number. An octal number like '0377' is also |
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# accepted by the functions parsing decimal and hexadecimal numbers, so |
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# handle octal numbers before decimal and hexadecimal numbers. |
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75
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$str =~ /^0(?:[Oo]|_*[0-7])/ and |
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$nstr = Math::BigInt -> oct_str_to_dec_flt_str($str) |
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78
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or |
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80
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# See if it is decimal number. |
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82
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$nstr = Math::BigInt -> dec_str_to_dec_flt_str($str) |
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84
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or |
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86
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# See if it is a hexadecimal number. Every hexadecimal number has a |
87
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# prefix, but the functions parsing numbers don't require it, so check |
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# to see if it actually is a hexadecimal number. |
89
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90
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$str =~ /^0[Xx]/ and |
91
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$nstr = Math::BigInt -> hex_str_to_dec_flt_str($str) |
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93
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or |
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95
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# See if it is a binary numbers. Every binary number has a prefix, but |
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# the functions parsing numbers don't require it, so check to see if it |
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# actually is a binary number. |
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99
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$str =~ /^0[Bb]/ and |
100
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$nstr = Math::BigInt -> bin_str_to_dec_flt_str($str)) |
101
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{ |
102
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7
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1186
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my $pos = index($nstr, 'e'); |
103
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7
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38
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my $expo_sgn = substr($nstr, $pos + 1, 1); |
104
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7
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30
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my $sign = substr($nstr, 0, 1); |
105
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7
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17
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my $mant = substr($nstr, 1, $pos - 1); |
106
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7
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11
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my $mant_len = CORE::length($mant); |
107
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7
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22
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my $expo = substr($nstr, $pos + 2); |
108
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109
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7
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100
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22
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if ($expo_sgn eq '-') { |
110
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4
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17
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my $upgrade = $obj_class -> upgrade(); |
111
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4
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50
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45
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return $upgrade -> new($nstr) if defined $upgrade; |
112
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113
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4
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50
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20
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if ($mant_len <= $expo) { |
114
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0
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0
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return $obj_class -> bzero(); # underflow |
115
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} else { |
116
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4
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9
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$mant = substr $mant, 0, $mant_len - $expo; # truncate |
117
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4
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14
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return $obj_class -> new($sign . $mant); |
118
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} |
119
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} else { |
120
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3
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11
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$mant .= "0" x $expo; # pad with zeros |
121
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3
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18
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return $obj_class -> new($sign . $mant); |
122
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} |
123
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} |
124
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125
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# If we get here, there is a bug in the code above this point. |
126
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127
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0
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0
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warn "Internal error: unable to handle literal constant '$str'.", |
128
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" This is a bug, so please report this to the module author."; |
129
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0
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0
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return $obj_class -> bnan(); |
130
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} |
131
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132
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############################################################################# |
133
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# the following two routines are for "use bigint qw/hex oct/;": |
134
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135
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13
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13
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7392
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use constant LEXICAL => $] > 5.009004; |
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13
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36
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13
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9080
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136
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137
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# Internal function with the same semantics as CORE::hex(). This function is |
138
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# not used directly, but rather by other front-end functions. |
139
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140
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sub _hex_core { |
141
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15
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15
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36
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my $str = shift; |
142
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143
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# Strip off, clean, and parse as much as we can from the beginning. |
144
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145
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15
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23
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my $x; |
146
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15
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50
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137
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if ($str =~ s/ ^ ( 0? [xX] )? ( [0-9a-fA-F]* ( _ [0-9a-fA-F]+ )* ) //x) { |
147
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15
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201
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my $chrs = $2; |
148
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15
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36
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$chrs =~ tr/_//d; |
149
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15
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50
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43
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$chrs = '0' unless CORE::length $chrs; |
150
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15
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73
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$x = $obj_class -> from_hex($chrs); |
151
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} else { |
152
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0
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0
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$x = $obj_class -> bzero(); |
153
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} |
154
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155
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# Warn about trailing garbage. |
156
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157
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15
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50
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4972
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if (CORE::length($str)) { |
158
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0
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0
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require Carp; |
159
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0
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0
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Carp::carp(sprintf("Illegal hexadecimal digit '%s' ignored", |
160
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substr($str, 0, 1))); |
161
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} |
162
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163
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15
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100
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return $x; |
164
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} |
165
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166
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# Internal function with the same semantics as CORE::oct(). This function is |
167
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# not used directly, but rather by other front-end functions. |
168
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169
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sub _oct_core { |
170
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16
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16
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35
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my $str = shift; |
171
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172
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16
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56
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$str =~ s/^\s*//; |
173
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174
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# Hexadecimal input. |
175
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176
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16
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50
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145
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return _hex_core($str) if $str =~ /^0?[xX]/; |
177
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178
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16
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28
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my $x; |
179
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180
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# Binary input. |
181
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182
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16
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50
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46
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if ($str =~ /^0?[bB]/) { |
183
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184
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# Strip off, clean, and parse as much as we can from the beginning. |
185
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186
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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) { |
187
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0
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0
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my $chrs = $2; |
188
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0
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0
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$chrs =~ tr/_//d; |
189
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0
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0
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0
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$chrs = '0' unless CORE::length $chrs; |
190
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0
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0
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$x = $obj_class -> from_bin($chrs); |
191
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} |
192
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193
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# Warn about trailing garbage. |
194
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195
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0
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0
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0
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if (CORE::length($str)) { |
196
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0
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0
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require Carp; |
197
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0
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0
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Carp::carp(sprintf("Illegal binary digit '%s' ignored", |
198
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substr($str, 0, 1))); |
199
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} |
200
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201
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0
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0
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return $x; |
202
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} |
203
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204
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# Octal input. Strip off, clean, and parse as much as we can from the |
205
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# beginning. |
206
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207
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16
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50
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80
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if ($str =~ s/ ^ ( 0? [oO] )? ( [0-7]* ( _ [0-7]+ )* ) //x) { |
208
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16
|
|
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|
44
|
my $chrs = $2; |
209
|
16
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|
28
|
$chrs =~ tr/_//d; |
210
|
16
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50
|
|
|
|
44
|
$chrs = '0' unless CORE::length $chrs; |
211
|
16
|
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57
|
$x = $obj_class -> from_oct($chrs); |
212
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|
|
} |
213
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214
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|
|
# Warn about trailing garbage. CORE::oct() only warns about 8 and 9, but it |
215
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|
|
# is more helpful to warn about all invalid digits. |
216
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217
|
16
|
50
|
|
|
|
4993
|
if (CORE::length($str)) { |
218
|
0
|
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|
|
0
|
require Carp; |
219
|
0
|
|
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|
|
0
|
Carp::carp(sprintf("Illegal octal digit '%s' ignored", |
220
|
|
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|
|
|
|
substr($str, 0, 1))); |
221
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|
|
} |
222
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223
|
16
|
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|
101
|
return $x; |
224
|
|
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|
|
} |
225
|
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|
226
|
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|
{ |
227
|
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|
|
my $proto = LEXICAL ? '_' : ';$'; |
228
|
1
|
50
|
|
1
|
1
|
1620
|
eval ' |
|
1
|
|
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|
|
6
|
|
229
|
|
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|
|
|
sub hex(' . $proto . ') {' . <<'.'; |
230
|
|
|
|
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|
|
my $str = @_ ? $_[0] : $_; |
231
|
|
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|
|
|
_hex_core($str); |
232
|
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|
|
} |
233
|
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|
. |
234
|
|
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|
|
235
|
2
|
50
|
|
2
|
1
|
9
|
eval ' |
|
2
|
|
|
|
|
8
|
|
236
|
|
|
|
|
|
|
sub oct(' . $proto . ') {' . <<'.'; |
237
|
|
|
|
|
|
|
my $str = @_ ? $_[0] : $_; |
238
|
|
|
|
|
|
|
_oct_core($str); |
239
|
|
|
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|
|
} |
240
|
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|
|
|
. |
241
|
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|
|
} |
242
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|
243
|
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|
|
############################################################################# |
244
|
|
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|
|
|
|
# the following two routines are for Perl 5.9.4 or later and are lexical |
245
|
|
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|
|
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|
|
246
|
|
|
|
|
|
|
my ($prev_oct, $prev_hex, $overridden); |
247
|
|
|
|
|
|
|
|
248
|
22
|
100
|
|
22
|
|
4261
|
if (LEXICAL) { eval <<'.' } |
|
22
|
50
|
|
22
|
|
233
|
|
|
22
|
50
|
|
|
|
103
|
|
|
22
|
100
|
|
|
|
175
|
|
|
|
100
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
|
100
|
|
|
|
|
|
249
|
|
|
|
|
|
|
sub _hex(_) { |
250
|
|
|
|
|
|
|
my $hh = (caller 0)[10]; |
251
|
|
|
|
|
|
|
return $$hh{bigint} ? bigint::_hex_core($_[0]) |
252
|
|
|
|
|
|
|
: $$hh{bignum} ? bignum::_hex_core($_[0]) |
253
|
|
|
|
|
|
|
: $$hh{bigrat} ? bigrat::_hex_core($_[0]) |
254
|
|
|
|
|
|
|
: $prev_hex ? &$prev_hex($_[0]) |
255
|
|
|
|
|
|
|
: CORE::hex($_[0]); |
256
|
|
|
|
|
|
|
} |
257
|
|
|
|
|
|
|
|
258
|
|
|
|
|
|
|
sub _oct(_) { |
259
|
|
|
|
|
|
|
my $hh = (caller 0)[10]; |
260
|
|
|
|
|
|
|
return $$hh{bigint} ? bigint::_oct_core($_[0]) |
261
|
|
|
|
|
|
|
: $$hh{bignum} ? bignum::_oct_core($_[0]) |
262
|
|
|
|
|
|
|
: $$hh{bigrat} ? bigrat::_oct_core($_[0]) |
263
|
|
|
|
|
|
|
: $prev_oct ? &$prev_oct($_[0]) |
264
|
|
|
|
|
|
|
: CORE::oct($_[0]); |
265
|
|
|
|
|
|
|
} |
266
|
|
|
|
|
|
|
. |
267
|
|
|
|
|
|
|
|
268
|
|
|
|
|
|
|
sub _override { |
269
|
41
|
100
|
|
41
|
|
123
|
return if $overridden; |
270
|
13
|
|
|
|
|
81
|
$prev_oct = *CORE::GLOBAL::oct{CODE}; |
271
|
13
|
|
|
|
|
21
|
$prev_hex = *CORE::GLOBAL::hex{CODE}; |
272
|
13
|
|
|
13
|
|
103
|
no warnings 'redefine'; |
|
13
|
|
|
|
|
30
|
|
|
13
|
|
|
|
|
12961
|
|
273
|
13
|
|
|
|
|
41
|
*CORE::GLOBAL::oct = \&_oct; |
274
|
13
|
|
|
|
|
32
|
*CORE::GLOBAL::hex = \&_hex; |
275
|
13
|
|
|
|
|
27
|
$overridden = 1; |
276
|
|
|
|
|
|
|
} |
277
|
|
|
|
|
|
|
|
278
|
|
|
|
|
|
|
sub unimport { |
279
|
14
|
|
|
14
|
|
1845
|
$^H{bigint} = undef; # no longer in effect |
280
|
14
|
|
|
|
|
62
|
overload::remove_constant('binary', '', 'float', '', 'integer'); |
281
|
|
|
|
|
|
|
} |
282
|
|
|
|
|
|
|
|
283
|
|
|
|
|
|
|
sub import { |
284
|
41
|
|
|
41
|
|
15308
|
my $class = shift; |
285
|
|
|
|
|
|
|
|
286
|
41
|
|
|
|
|
156
|
$^H{bigint} = 1; # we are in effect |
287
|
41
|
|
|
|
|
97
|
$^H{bignum} = undef; |
288
|
41
|
|
|
|
|
104
|
$^H{bigrat} = undef; |
289
|
|
|
|
|
|
|
|
290
|
|
|
|
|
|
|
# for newer Perls always override hex() and oct() with a lexical version: |
291
|
41
|
|
|
|
|
57
|
if (LEXICAL) { |
292
|
41
|
|
|
|
|
99
|
_override(); |
293
|
|
|
|
|
|
|
} |
294
|
|
|
|
|
|
|
|
295
|
41
|
|
|
|
|
72
|
my @import = (); |
296
|
41
|
|
|
|
|
56
|
my @a = (); # unrecognized arguments |
297
|
41
|
|
|
|
|
54
|
my $ver; # version? trace? |
298
|
|
|
|
|
|
|
|
299
|
41
|
|
|
|
|
120
|
while (@_) { |
300
|
25
|
|
|
|
|
38
|
my $param = shift; |
301
|
|
|
|
|
|
|
|
302
|
|
|
|
|
|
|
# Upgrading. |
303
|
|
|
|
|
|
|
|
304
|
25
|
50
|
|
|
|
51
|
if ($param eq 'upgrade') { |
305
|
0
|
|
|
|
|
0
|
push @import, 'upgrade', shift(); |
306
|
0
|
|
|
|
|
0
|
next; |
307
|
|
|
|
|
|
|
} |
308
|
|
|
|
|
|
|
|
309
|
|
|
|
|
|
|
# Downgrading. |
310
|
|
|
|
|
|
|
|
311
|
25
|
50
|
|
|
|
46
|
if ($param eq 'downgrade') { |
312
|
0
|
|
|
|
|
0
|
push @import, 'downgrade', shift(); |
313
|
0
|
|
|
|
|
0
|
next; |
314
|
|
|
|
|
|
|
} |
315
|
|
|
|
|
|
|
|
316
|
|
|
|
|
|
|
# Accuracy. |
317
|
|
|
|
|
|
|
|
318
|
25
|
100
|
|
|
|
71
|
if ($param =~ /^a(ccuracy)?$/) { |
319
|
2
|
|
|
|
|
6
|
push @import, 'accuracy', shift(); |
320
|
2
|
|
|
|
|
5
|
next; |
321
|
|
|
|
|
|
|
} |
322
|
|
|
|
|
|
|
|
323
|
|
|
|
|
|
|
# Precision. |
324
|
|
|
|
|
|
|
|
325
|
23
|
100
|
|
|
|
48
|
if ($param =~ /^p(recision)?$/) { |
326
|
2
|
|
|
|
|
6
|
push @import, 'precision', shift(); |
327
|
2
|
|
|
|
|
5
|
next; |
328
|
|
|
|
|
|
|
} |
329
|
|
|
|
|
|
|
|
330
|
|
|
|
|
|
|
# Rounding mode. |
331
|
|
|
|
|
|
|
|
332
|
21
|
50
|
|
|
|
53
|
if ($param eq 'round_mode') { |
333
|
0
|
|
|
|
|
0
|
push @import, 'round_mode', shift(); |
334
|
0
|
|
|
|
|
0
|
next; |
335
|
|
|
|
|
|
|
} |
336
|
|
|
|
|
|
|
|
337
|
|
|
|
|
|
|
# Backend library. |
338
|
|
|
|
|
|
|
|
339
|
21
|
100
|
|
|
|
72
|
if ($param =~ /^(l|lib|try|only)$/) { |
340
|
5
|
100
|
|
|
|
15
|
push @import, $param eq 'l' ? 'lib' : $param; |
341
|
5
|
50
|
|
|
|
10
|
push @import, shift() if @_; |
342
|
5
|
|
|
|
|
12
|
next; |
343
|
|
|
|
|
|
|
} |
344
|
|
|
|
|
|
|
|
345
|
16
|
50
|
|
|
|
33
|
if ($param =~ /^(v|version)$/) { |
346
|
0
|
|
|
|
|
0
|
$ver = 1; |
347
|
0
|
|
|
|
|
0
|
next; |
348
|
|
|
|
|
|
|
} |
349
|
|
|
|
|
|
|
|
350
|
16
|
50
|
|
|
|
29
|
if ($param =~ /^(t|trace)$/) { |
351
|
0
|
|
|
|
|
0
|
$obj_class .= "::Trace"; |
352
|
0
|
|
|
|
|
0
|
eval "require $obj_class"; |
353
|
0
|
0
|
|
|
|
0
|
die $@ if $@; |
354
|
0
|
|
|
|
|
0
|
next; |
355
|
|
|
|
|
|
|
} |
356
|
|
|
|
|
|
|
|
357
|
16
|
100
|
|
|
|
39
|
if ($param =~ /^(PI|e|bexp|bpi|hex|oct)\z/) { |
358
|
6
|
|
|
|
|
10
|
push @a, $param; |
359
|
6
|
|
|
|
|
13
|
next; |
360
|
|
|
|
|
|
|
} |
361
|
|
|
|
|
|
|
|
362
|
10
|
|
|
|
|
1026
|
croak("Unknown option '$param'"); |
363
|
|
|
|
|
|
|
} |
364
|
|
|
|
|
|
|
|
365
|
31
|
|
|
|
|
1880
|
eval "require $obj_class"; |
366
|
31
|
50
|
|
|
|
360912
|
die $@ if $@; |
367
|
31
|
|
|
|
|
206
|
$obj_class -> import(@import); |
368
|
|
|
|
|
|
|
|
369
|
31
|
50
|
|
|
|
301940
|
if ($ver) { |
370
|
0
|
|
|
|
|
0
|
printf "%-31s v%s\n", $class, $class -> VERSION(); |
371
|
0
|
|
|
|
|
0
|
printf " lib => %-23s v%s\n", |
372
|
|
|
|
|
|
|
$obj_class -> config("lib"), $obj_class -> config("lib_version"); |
373
|
0
|
|
|
|
|
0
|
printf "%-31s v%s\n", $obj_class, $obj_class -> VERSION(); |
374
|
0
|
|
|
|
|
0
|
exit; |
375
|
|
|
|
|
|
|
} |
376
|
|
|
|
|
|
|
|
377
|
31
|
|
|
|
|
2466
|
$class -> export_to_level(1, $class, @a); # export inf, NaN, etc. |
378
|
|
|
|
|
|
|
|
379
|
|
|
|
|
|
|
overload::constant |
380
|
|
|
|
|
|
|
|
381
|
|
|
|
|
|
|
# This takes care each number written as decimal integer and within the |
382
|
|
|
|
|
|
|
# range of what perl can represent as an integer, e.g., "314", but not |
383
|
|
|
|
|
|
|
# "3141592653589793238462643383279502884197169399375105820974944592307". |
384
|
|
|
|
|
|
|
|
385
|
|
|
|
|
|
|
integer => sub { |
386
|
|
|
|
|
|
|
#printf "Value '%s' handled by the 'integer' sub.\n", $_[0]; |
387
|
56
|
|
|
56
|
|
8508
|
my $str = shift; |
388
|
56
|
|
|
|
|
221
|
return $obj_class -> new($str); |
389
|
|
|
|
|
|
|
}, |
390
|
|
|
|
|
|
|
|
391
|
|
|
|
|
|
|
# This takes care of each number written with a decimal point and/or |
392
|
|
|
|
|
|
|
# using floating point notation, e.g., "3.", "3.0", "3.14e+2" (decimal), |
393
|
|
|
|
|
|
|
# "0b1.101p+2" (binary), "03.14p+2" and "0o3.14p+2" (octal), and |
394
|
|
|
|
|
|
|
# "0x3.14p+2" (hexadecimal). |
395
|
|
|
|
|
|
|
|
396
|
|
|
|
|
|
|
float => sub { |
397
|
|
|
|
|
|
|
#printf "# Value '%s' handled by the 'float' sub.\n", $_[0]; |
398
|
7
|
|
|
7
|
|
1082
|
_float_constant(shift); |
399
|
|
|
|
|
|
|
}, |
400
|
|
|
|
|
|
|
|
401
|
|
|
|
|
|
|
# Take care of each number written as an integer (no decimal point or |
402
|
|
|
|
|
|
|
# exponent) using binary, octal, or hexadecimal notation, e.g., "0b101" |
403
|
|
|
|
|
|
|
# (binary), "0314" and "0o314" (octal), and "0x314" (hexadecimal). |
404
|
|
|
|
|
|
|
|
405
|
|
|
|
|
|
|
binary => sub { |
406
|
|
|
|
|
|
|
#printf "# Value '%s' handled by the 'binary' sub.\n", $_[0]; |
407
|
10
|
|
|
10
|
|
12144
|
my $str = shift; |
408
|
10
|
100
|
|
|
|
89
|
return $obj_class -> new($str) if $str =~ /^0[XxBb]/; |
409
|
3
|
|
|
|
|
19
|
$obj_class -> from_oct($str); |
410
|
31
|
|
|
|
|
323
|
}; |
411
|
|
|
|
|
|
|
} |
412
|
|
|
|
|
|
|
|
413
|
11
|
|
|
11
|
1
|
6130
|
sub inf () { $obj_class -> binf(); } |
414
|
10
|
|
|
10
|
1
|
7247
|
sub NaN () { $obj_class -> bnan(); } |
415
|
|
|
|
|
|
|
|
416
|
1
|
|
|
1
|
1
|
959
|
sub PI () { $obj_class -> new(3); } |
417
|
1
|
|
|
1
|
1
|
81
|
sub e () { $obj_class -> new(2); } |
418
|
|
|
|
|
|
|
|
419
|
1
|
|
|
1
|
1
|
102477
|
sub bpi ($) { $obj_class -> new(3); } |
420
|
|
|
|
|
|
|
|
421
|
|
|
|
|
|
|
sub bexp ($$) { |
422
|
2
|
|
|
2
|
1
|
45975
|
my $x = $obj_class -> new(shift); |
423
|
2
|
|
|
|
|
179
|
$x -> bexp(@_); |
424
|
|
|
|
|
|
|
} |
425
|
|
|
|
|
|
|
|
426
|
|
|
|
|
|
|
1; |
427
|
|
|
|
|
|
|
|
428
|
|
|
|
|
|
|
__END__ |