| line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
|
1
|
|
|
|
|
|
|
package Math::Random::Free; |
|
2
|
|
|
|
|
|
|
|
|
3
|
1
|
|
|
1
|
|
512
|
use strict; |
|
|
1
|
|
|
|
|
3
|
|
|
|
1
|
|
|
|
|
27
|
|
|
4
|
1
|
|
|
1
|
|
6
|
use warnings; |
|
|
1
|
|
|
|
|
1
|
|
|
|
1
|
|
|
|
|
45
|
|
|
5
|
|
|
|
|
|
|
|
|
6
|
|
|
|
|
|
|
# ABSTRACT: Free drop-in replacement for Math::Random |
|
7
|
|
|
|
|
|
|
our $VERSION = '0.2.0'; # VERSION |
|
8
|
|
|
|
|
|
|
|
|
9
|
|
|
|
|
|
|
=pod |
|
10
|
|
|
|
|
|
|
|
|
11
|
|
|
|
|
|
|
=head1 NAME |
|
12
|
|
|
|
|
|
|
|
|
13
|
|
|
|
|
|
|
Math::Random::Free - free drop-in replacement for Math::Random |
|
14
|
|
|
|
|
|
|
|
|
15
|
|
|
|
|
|
|
=head1 DESCRIPTION |
|
16
|
|
|
|
|
|
|
|
|
17
|
|
|
|
|
|
|
This is free (see below) implementation of L |
|
18
|
|
|
|
|
|
|
0.72, serving as drop-in replacement for this module. |
|
19
|
|
|
|
|
|
|
|
|
20
|
|
|
|
|
|
|
=head1 MOTIVATION |
|
21
|
|
|
|
|
|
|
|
|
22
|
|
|
|
|
|
|
L is a great and widely-used module for the |
|
23
|
|
|
|
|
|
|
generation of random numbers and permutations. Despite being open-source, |
|
24
|
|
|
|
|
|
|
L does not fulfill free open-source software |
|
25
|
|
|
|
|
|
|
definitions as established by the Open Source Initiative |
|
26
|
|
|
|
|
|
|
(L) and the Debian Project |
|
27
|
|
|
|
|
|
|
(L, a.k.a. DFSG). This |
|
28
|
|
|
|
|
|
|
is mostly because C code cannot be copied nor distributed for |
|
29
|
|
|
|
|
|
|
direct commercial advantage. Math::Random::Free is created to free the |
|
30
|
|
|
|
|
|
|
code depending on L from these limitations. |
|
31
|
|
|
|
|
|
|
|
|
32
|
|
|
|
|
|
|
=cut |
|
33
|
|
|
|
|
|
|
|
|
34
|
1
|
|
|
1
|
|
559
|
use Digest::SHA qw( sha1_hex ); |
|
|
1
|
|
|
|
|
3203
|
|
|
|
1
|
|
|
|
|
89
|
|
|
35
|
1
|
|
|
1
|
|
8
|
use List::Util qw( shuffle ); |
|
|
1
|
|
|
|
|
1
|
|
|
|
1
|
|
|
|
|
760
|
|
|
36
|
|
|
|
|
|
|
|
|
37
|
|
|
|
|
|
|
require Exporter; |
|
38
|
|
|
|
|
|
|
our @ISA = qw(Exporter); |
|
39
|
|
|
|
|
|
|
our @EXPORT = qw( |
|
40
|
|
|
|
|
|
|
random_normal |
|
41
|
|
|
|
|
|
|
random_permutation |
|
42
|
|
|
|
|
|
|
random_permuted_index |
|
43
|
|
|
|
|
|
|
random_set_seed_from_phrase |
|
44
|
|
|
|
|
|
|
); |
|
45
|
|
|
|
|
|
|
our @EXPORT_OK = qw( |
|
46
|
|
|
|
|
|
|
random_exponential |
|
47
|
|
|
|
|
|
|
random_normal |
|
48
|
|
|
|
|
|
|
random_permutation |
|
49
|
|
|
|
|
|
|
random_permuted_index |
|
50
|
|
|
|
|
|
|
random_set_seed_from_phrase |
|
51
|
|
|
|
|
|
|
random_uniform |
|
52
|
|
|
|
|
|
|
random_uniform_integer |
|
53
|
|
|
|
|
|
|
); |
|
54
|
|
|
|
|
|
|
our $PI = 4 * atan2( 1, 1 ); |
|
55
|
|
|
|
|
|
|
|
|
56
|
|
|
|
|
|
|
=head1 SUPPORT |
|
57
|
|
|
|
|
|
|
|
|
58
|
|
|
|
|
|
|
our @EXPORT = qw( |
|
59
|
|
|
|
|
|
|
random_normal |
|
60
|
|
|
|
|
|
|
random_permutation |
|
61
|
|
|
|
|
|
|
random_permuted_index |
|
62
|
|
|
|
|
|
|
random_set_seed_from_phrase |
|
63
|
|
|
|
|
|
|
); |
|
64
|
|
|
|
|
|
|
our @EXPORT_OK = qw( |
|
65
|
|
|
|
|
|
|
random_exponential |
|
66
|
|
|
|
|
|
|
random_normal |
|
67
|
|
|
|
|
|
|
random_permutation |
|
68
|
|
|
|
|
|
|
random_permuted_index |
|
69
|
|
|
|
|
|
|
random_set_seed_from_phrase |
|
70
|
|
|
|
|
|
|
random_uniform |
|
71
|
|
|
|
|
|
|
random_uniform_integer |
|
72
|
|
|
|
|
|
|
); |
|
73
|
|
|
|
|
|
|
|
|
74
|
|
|
|
|
|
|
=cut |
|
75
|
|
|
|
|
|
|
|
|
76
|
|
|
|
|
|
|
sub random_exponential |
|
77
|
|
|
|
|
|
|
{ |
|
78
|
2
|
|
|
2
|
0
|
9
|
my( $n, $rate ) = @_; |
|
79
|
|
|
|
|
|
|
|
|
80
|
2
|
50
|
|
|
|
8
|
$n = 1 unless defined $n; |
|
81
|
2
|
50
|
|
|
|
5
|
$rate = 1 unless defined $rate; |
|
82
|
|
|
|
|
|
|
|
|
83
|
2
|
50
|
|
|
|
5
|
if( wantarray ) { |
|
84
|
0
|
|
|
|
|
0
|
return map { scalar random_exponential( $n, $rate ) } 1..$n; |
|
|
0
|
|
|
|
|
0
|
|
|
85
|
|
|
|
|
|
|
} else { |
|
86
|
2
|
|
|
|
|
10
|
return log( 1 - rand ) / -$rate; |
|
87
|
|
|
|
|
|
|
} |
|
88
|
|
|
|
|
|
|
} |
|
89
|
|
|
|
|
|
|
|
|
90
|
|
|
|
|
|
|
sub random_normal |
|
91
|
|
|
|
|
|
|
{ |
|
92
|
12
|
|
|
12
|
0
|
28
|
my( $n, $mean, $sd ) = @_; |
|
93
|
|
|
|
|
|
|
|
|
94
|
12
|
50
|
|
|
|
23
|
$n = 1 unless defined $n; |
|
95
|
12
|
100
|
|
|
|
22
|
$mean = 0 unless defined $mean; |
|
96
|
12
|
100
|
|
|
|
20
|
$sd = 1 unless defined $sd; |
|
97
|
|
|
|
|
|
|
|
|
98
|
12
|
100
|
|
|
|
22
|
if( wantarray ) { |
|
99
|
2
|
|
|
|
|
4
|
return map { scalar random_normal( $n, $mean, $sd ) } 1..$n; |
|
|
10
|
|
|
|
|
24
|
|
|
100
|
|
|
|
|
|
|
} else { |
|
101
|
|
|
|
|
|
|
# Box-Muller method |
|
102
|
10
|
|
|
|
|
100
|
return $mean + $sd * cos( 2 * $PI * (1 - rand) ) |
|
103
|
|
|
|
|
|
|
* sqrt( -2 * log(1 - rand) ); |
|
104
|
|
|
|
|
|
|
} |
|
105
|
|
|
|
|
|
|
} |
|
106
|
|
|
|
|
|
|
|
|
107
|
|
|
|
|
|
|
sub random_permutation |
|
108
|
|
|
|
|
|
|
{ |
|
109
|
2
|
|
|
2
|
0
|
14
|
my( @array ) = @_; |
|
110
|
2
|
|
|
|
|
7
|
return @array[random_permuted_index( scalar @array )]; |
|
111
|
|
|
|
|
|
|
} |
|
112
|
|
|
|
|
|
|
|
|
113
|
|
|
|
|
|
|
sub random_permuted_index |
|
114
|
|
|
|
|
|
|
{ |
|
115
|
2
|
|
|
2
|
0
|
3
|
my( $n ) = @_; |
|
116
|
|
|
|
|
|
|
|
|
117
|
2
|
|
|
|
|
23
|
return shuffle 0..$n-1; |
|
118
|
|
|
|
|
|
|
} |
|
119
|
|
|
|
|
|
|
|
|
120
|
|
|
|
|
|
|
sub random_set_seed_from_phrase |
|
121
|
|
|
|
|
|
|
{ |
|
122
|
8
|
|
|
8
|
0
|
2660
|
my( $seed ) = @_; |
|
123
|
|
|
|
|
|
|
|
|
124
|
|
|
|
|
|
|
# On 64-bit machine the max. value for srand() seems to be 2**50-1 |
|
125
|
8
|
|
|
|
|
63
|
srand hex substr( sha1_hex( $seed ), 0, 6 ); |
|
126
|
|
|
|
|
|
|
} |
|
127
|
|
|
|
|
|
|
|
|
128
|
|
|
|
|
|
|
sub random_uniform |
|
129
|
|
|
|
|
|
|
{ |
|
130
|
0
|
|
|
0
|
0
|
0
|
my( $n, $low, $high ) = @_; |
|
131
|
|
|
|
|
|
|
|
|
132
|
0
|
0
|
|
|
|
0
|
$n = 1 unless defined $n; |
|
133
|
0
|
0
|
|
|
|
0
|
$low = 0 unless defined $low; |
|
134
|
0
|
0
|
|
|
|
0
|
$high = 1 unless defined $high; |
|
135
|
|
|
|
|
|
|
|
|
136
|
0
|
0
|
|
|
|
0
|
if( wantarray ) { |
|
137
|
0
|
|
|
|
|
0
|
return map { rand() * ($high - $low) + $low } 1..$n; |
|
|
0
|
|
|
|
|
0
|
|
|
138
|
|
|
|
|
|
|
} else { |
|
139
|
0
|
|
|
|
|
0
|
return rand() * ($high - $low) + $low; |
|
140
|
|
|
|
|
|
|
} |
|
141
|
|
|
|
|
|
|
} |
|
142
|
|
|
|
|
|
|
|
|
143
|
|
|
|
|
|
|
sub random_uniform_integer |
|
144
|
|
|
|
|
|
|
{ |
|
145
|
2
|
|
|
2
|
0
|
11
|
my( $n, $low, $high ) = @_; |
|
146
|
|
|
|
|
|
|
|
|
147
|
2
|
|
|
|
|
5
|
my $range = int($high) - int($low) + 1; |
|
148
|
|
|
|
|
|
|
|
|
149
|
2
|
50
|
|
|
|
7
|
if( wantarray ) { |
|
150
|
0
|
|
|
|
|
0
|
return map { int( rand($range) + $low ) } 1..$n; |
|
|
0
|
|
|
|
|
0
|
|
|
151
|
|
|
|
|
|
|
} else { |
|
152
|
2
|
|
|
|
|
11
|
return int( rand($range) + $low ); |
|
153
|
|
|
|
|
|
|
} |
|
154
|
|
|
|
|
|
|
} |
|
155
|
|
|
|
|
|
|
|
|
156
|
|
|
|
|
|
|
=head1 CAVEATS |
|
157
|
|
|
|
|
|
|
|
|
158
|
|
|
|
|
|
|
This module has only a subset of L subroutines |
|
159
|
|
|
|
|
|
|
(contributions welcome), implemented using either Perl core subroutines |
|
160
|
|
|
|
|
|
|
or other well-known modules. Thus Math::Random::Free is neither as |
|
161
|
|
|
|
|
|
|
complete, nor as fast, nor as random as L. |
|
162
|
|
|
|
|
|
|
Also Math::Random::Free does not aim for cryptographic security. |
|
163
|
|
|
|
|
|
|
|
|
164
|
|
|
|
|
|
|
While Math::Random::Free supports seed setting, it does that differently |
|
165
|
|
|
|
|
|
|
from L. It means that one should not expect |
|
166
|
|
|
|
|
|
|
the same seed producing identical random sequences in both modules. |
|
167
|
|
|
|
|
|
|
|
|
168
|
|
|
|
|
|
|
As Math::Random::Free employs L for producing |
|
169
|
|
|
|
|
|
|
random permutations, these are influenced by C<$List::Util::RAND> |
|
170
|
|
|
|
|
|
|
variable. |
|
171
|
|
|
|
|
|
|
|
|
172
|
|
|
|
|
|
|
=head1 TESTED WITH |
|
173
|
|
|
|
|
|
|
|
|
174
|
|
|
|
|
|
|
=over 4 |
|
175
|
|
|
|
|
|
|
|
|
176
|
|
|
|
|
|
|
=item * |
|
177
|
|
|
|
|
|
|
|
|
178
|
|
|
|
|
|
|
L 0.02 |
|
179
|
|
|
|
|
|
|
|
|
180
|
|
|
|
|
|
|
=back |
|
181
|
|
|
|
|
|
|
|
|
182
|
|
|
|
|
|
|
=head1 AUTHOR |
|
183
|
|
|
|
|
|
|
|
|
184
|
|
|
|
|
|
|
Andrius Merkys, L |
|
185
|
|
|
|
|
|
|
|
|
186
|
|
|
|
|
|
|
=cut |
|
187
|
|
|
|
|
|
|
|
|
188
|
|
|
|
|
|
|
1; |