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1 | package bigrat; |
2 | require 5.005; |
3 | |
4 | $VERSION = '0.04'; |
5 | use Exporter; |
6 | @ISA = qw( Exporter ); |
7 | @EXPORT_OK = qw( ); |
8 | |
9 | use strict; |
10 | |
11 | ############################################################################## |
12 | |
13 | # These are all alike, and thus faked by AUTOLOAD |
14 | |
15 | my @faked = qw/round_mode accuracy precision div_scale/; |
16 | use vars qw/$VERSION $AUTOLOAD $_lite/; # _lite for testsuite |
17 | |
18 | sub AUTOLOAD |
19 | { |
20 | my $name = $AUTOLOAD; |
21 | |
22 | $name =~ s/.*:://; # split package |
23 | no strict 'refs'; |
24 | foreach my $n (@faked) |
25 | { |
26 | if ($n eq $name) |
27 | { |
28 | *{"bigrat::$name"} = sub |
29 | { |
30 | my $self = shift; |
31 | no strict 'refs'; |
32 | if (defined $_[0]) |
33 | { |
34 | Math::BigInt->$name($_[0]); |
35 | Math::BigFloat->$name($_[0]); |
36 | } |
37 | return Math::BigInt->$name(); |
38 | }; |
39 | return &$name; |
40 | } |
41 | } |
42 | |
43 | # delayed load of Carp and avoid recursion |
44 | require Carp; |
45 | Carp::croak ("Can't call bigrat\-\>$name, not a valid method"); |
46 | } |
47 | |
48 | sub upgrade |
49 | { |
50 | my $self = shift; |
51 | no strict 'refs'; |
52 | # if (defined $_[0]) |
53 | # { |
54 | # $Math::BigInt::upgrade = $_[0]; |
55 | # $Math::BigFloat::upgrade = $_[0]; |
56 | # } |
57 | return $Math::BigInt::upgrade; |
58 | } |
59 | |
60 | sub import |
61 | { |
62 | my $self = shift; |
63 | |
64 | # see also bignum->import() for additional comments |
65 | |
66 | # some defaults |
67 | my $lib = 'Calc'; my $upgrade = 'Math::BigFloat'; |
68 | |
69 | my @import = ( ':constant' ); # drive it w/ constant |
70 | my @a = @_; my $l = scalar @_; my $j = 0; |
71 | my ($a,$p); |
72 | my ($ver,$trace); # version? trace? |
73 | for ( my $i = 0; $i < $l ; $i++,$j++ ) |
74 | { |
75 | if ($_[$i] eq 'upgrade') |
76 | { |
77 | # this causes upgrading |
78 | $upgrade = $_[$i+1]; # or undef to disable |
79 | my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..." |
80 | splice @a, $j, $s; $j -= $s; |
81 | } |
82 | elsif ($_[$i] =~ /^(l|lib)$/) |
83 | { |
84 | # this causes a different low lib to take care... |
85 | $lib = $_[$i+1] || ''; |
86 | my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..." |
87 | splice @a, $j, $s; $j -= $s; |
88 | } |
89 | elsif ($_[$i] =~ /^(v|version)$/) |
90 | { |
91 | $ver = 1; |
92 | splice @a, $j, 1; $j --; |
93 | } |
94 | elsif ($_[$i] =~ /^(t|trace)$/) |
95 | { |
96 | $trace = 1; |
97 | splice @a, $j, 1; $j --; |
98 | } |
99 | else |
100 | { |
101 | die ("unknown option $_[$i]"); |
102 | } |
103 | } |
104 | my $class; |
105 | $_lite = 0; # using M::BI::L ? |
106 | if ($trace) |
107 | { |
108 | require Math::BigInt::Trace; $class = 'Math::BigInt::Trace'; |
109 | $upgrade = 'Math::BigFloat::Trace'; |
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110 | } |
111 | else |
112 | { |
113 | # see if we can find Math::BigInt::Lite |
114 | if (!defined $a && !defined $p) # rounding won't work to well |
115 | { |
116 | eval 'require Math::BigInt::Lite;'; |
117 | if ($@ eq '') |
118 | { |
119 | @import = ( ); # :constant in Lite, not MBI |
120 | Math::BigInt::Lite->import( ':constant' ); |
121 | $_lite= 1; # signal okay |
122 | } |
123 | } |
124 | require Math::BigInt if $_lite == 0; # not already loaded? |
125 | $class = 'Math::BigInt'; # regardless of MBIL or not |
126 | } |
127 | # Math::BigInt::Trace or plain Math::BigInt |
128 | $class->import(@import, upgrade => $upgrade, lib => $lib); |
129 | |
130 | require Math::BigFloat; |
131 | Math::BigFloat->import( upgrade => 'Math::BigRat', ':constant' ); |
132 | require Math::BigRat; |
133 | if ($ver) |
134 | { |
135 | print "bigrat\t\t\t v$VERSION\n"; |
136 | print "Math::BigInt::Lite\t v$Math::BigInt::Lite::VERSION\n" if $_lite; |
137 | print "Math::BigInt\t\t v$Math::BigInt::VERSION"; |
138 | my $config = Math::BigInt->config(); |
139 | print " lib => $config->{lib} v$config->{lib_version}\n"; |
140 | print "Math::BigFloat\t\t v$Math::BigFloat::VERSION\n"; |
141 | print "Math::BigRat\t\t v$Math::BigRat::VERSION\n"; |
142 | exit; |
143 | } |
144 | } |
145 | |
146 | 1; |
147 | |
148 | __END__ |
149 | |
150 | =head1 NAME |
151 | |
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152 | bigrat - Transparent BigNumber/BigRational support for Perl |
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153 | |
154 | =head1 SYNOPSIS |
155 | |
156 | use bigrat; |
157 | |
158 | $x = 2 + 4.5,"\n"; # BigFloat 6.5 |
159 | print 1/3 + 1/4,"\n"; # produces 7/12 |
160 | |
161 | =head1 DESCRIPTION |
162 | |
163 | All operators (inlcuding basic math operations) are overloaded. Integer and |
164 | floating-point constants are created as proper BigInts or BigFloats, |
165 | respectively. |
166 | |
167 | Other than L<bignum>, this module upgrades to Math::BigRat, meaning that |
168 | instead of 2.5 you will get 2+1/2 as output. |
169 | |
170 | =head2 MODULES USED |
171 | |
172 | C<bigrat> is just a thin wrapper around various modules of the Math::BigInt |
173 | family. Think of it as the head of the family, who runs the shop, and orders |
174 | the others to do the work. |
175 | |
176 | The following modules are currently used by bignum: |
177 | |
178 | Math::BigInt::Lite (for speed, and only if it is loadable) |
179 | Math::BigInt |
180 | Math::BigFloat |
181 | Math::BigRat |
182 | |
183 | =head2 MATH LIBRARY |
184 | |
185 | Math with the numbers is done (by default) by a module called |
186 | Math::BigInt::Calc. This is equivalent to saying: |
187 | |
188 | use bigrat lib => 'Calc'; |
189 | |
190 | You can change this by using: |
191 | |
192 | use bigrat lib => 'BitVect'; |
193 | |
194 | The following would first try to find Math::BigInt::Foo, then |
195 | Math::BigInt::Bar, and when this also fails, revert to Math::BigInt::Calc: |
196 | |
197 | use bigrat lib => 'Foo,Math::BigInt::Bar'; |
198 | |
199 | Please see respective module documentation for further details. |
200 | |
201 | =head2 SIGN |
202 | |
203 | The sign is either '+', '-', 'NaN', '+inf' or '-inf' and stored seperately. |
204 | |
205 | A sign of 'NaN' is used to represent the result when input arguments are not |
206 | numbers or as a result of 0/0. '+inf' and '-inf' represent plus respectively |
207 | minus infinity. You will get '+inf' when dividing a positive number by 0, and |
208 | '-inf' when dividing any negative number by 0. |
209 | |
210 | =head2 METHODS |
211 | |
212 | Since all numbers are not objects, you can use all functions that are part of |
213 | the BigInt or BigFloat API. It is wise to use only the bxxx() notation, and not |
214 | the fxxx() notation, though. This makes you independed on the fact that the |
215 | underlying object might morph into a different class than BigFloat. |
216 | |
217 | =head1 EXAMPLES |
218 | |
219 | perl -Mbigrat -le 'print sqrt(33)' |
220 | perl -Mbigrat -le 'print 2*255' |
221 | perl -Mbigrat -le 'print 4.5+2*255' |
222 | perl -Mbigrat -le 'print 3/7 + 5/7 + 8/3' |
223 | perl -Mbigrat -le 'print 12->is_odd()'; |
224 | |
225 | =head1 LICENSE |
226 | |
227 | This program is free software; you may redistribute it and/or modify it under |
228 | the same terms as Perl itself. |
229 | |
230 | =head1 SEE ALSO |
231 | |
232 | Especially L<bignum>. |
233 | |
234 | L<Math::BigFloat>, L<Math::BigInt>, L<Math::BigRat> and L<Math::Big> as well |
235 | as L<Math::BigInt::BitVect>, L<Math::BigInt::Pari> and L<Math::BigInt::GMP>. |
236 | |
237 | =head1 AUTHORS |
238 | |
239 | (C) by Tels L<http://bloodgate.com/> in early 2002. |
240 | |
241 | =cut |