| line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
|
1
|
|
|
|
|
|
|
# |
|
2
|
|
|
|
|
|
|
# BioPerl module for Bio::Tools::RandomDistFunctions |
|
3
|
|
|
|
|
|
|
# |
|
4
|
|
|
|
|
|
|
# Please direct questions and support issues to |
|
5
|
|
|
|
|
|
|
# |
|
6
|
|
|
|
|
|
|
# Cared for by Jason Stajich |
|
7
|
|
|
|
|
|
|
# |
|
8
|
|
|
|
|
|
|
# Copyright Jason Stajich |
|
9
|
|
|
|
|
|
|
# |
|
10
|
|
|
|
|
|
|
# You may distribute this module under the same terms as perl itself |
|
11
|
|
|
|
|
|
|
|
|
12
|
|
|
|
|
|
|
# POD documentation - main docs before the code |
|
13
|
|
|
|
|
|
|
|
|
14
|
|
|
|
|
|
|
=head1 NAME |
|
15
|
|
|
|
|
|
|
|
|
16
|
|
|
|
|
|
|
Bio::Tools::RandomDistFunctions - A set of routines useful for |
|
17
|
|
|
|
|
|
|
generating random data in different distributions |
|
18
|
|
|
|
|
|
|
|
|
19
|
|
|
|
|
|
|
=head1 SYNOPSIS |
|
20
|
|
|
|
|
|
|
|
|
21
|
|
|
|
|
|
|
use Bio::Tools::RandomDistFunctions; |
|
22
|
|
|
|
|
|
|
my $dist = Bio::Tools::RandomDistFunctions->new(); |
|
23
|
|
|
|
|
|
|
for my $v ( 1..1000 ) { |
|
24
|
|
|
|
|
|
|
my $birth_dist = $dist->rand_birth_distribution($lambda); |
|
25
|
|
|
|
|
|
|
# ... do something with the variable |
|
26
|
|
|
|
|
|
|
} |
|
27
|
|
|
|
|
|
|
|
|
28
|
|
|
|
|
|
|
=head1 DESCRIPTION |
|
29
|
|
|
|
|
|
|
|
|
30
|
|
|
|
|
|
|
Most of the code is based on the C implementation of these routines in |
|
31
|
|
|
|
|
|
|
Mike Sanderson's r8s's package. See http://loco.biosci.arizona.edu/r8s/ for |
|
32
|
|
|
|
|
|
|
information on his software. |
|
33
|
|
|
|
|
|
|
|
|
34
|
|
|
|
|
|
|
=for comment |
|
35
|
|
|
|
|
|
|
This code tries to be fast and use available faster BigInt and GMP |
|
36
|
|
|
|
|
|
|
library methods when those modules are available. |
|
37
|
|
|
|
|
|
|
|
|
38
|
|
|
|
|
|
|
=head1 FEEDBACK |
|
39
|
|
|
|
|
|
|
|
|
40
|
|
|
|
|
|
|
=head2 Mailing Lists |
|
41
|
|
|
|
|
|
|
|
|
42
|
|
|
|
|
|
|
User feedback is an integral part of the evolution of this and other |
|
43
|
|
|
|
|
|
|
Bioperl modules. Send your comments and suggestions preferably to |
|
44
|
|
|
|
|
|
|
the Bioperl mailing list. Your participation is much appreciated. |
|
45
|
|
|
|
|
|
|
|
|
46
|
|
|
|
|
|
|
bioperl-l@bioperl.org - General discussion |
|
47
|
|
|
|
|
|
|
http://bioperl.org/wiki/Mailing_lists - About the mailing lists |
|
48
|
|
|
|
|
|
|
|
|
49
|
|
|
|
|
|
|
=head2 Support |
|
50
|
|
|
|
|
|
|
|
|
51
|
|
|
|
|
|
|
Please direct usage questions or support issues to the mailing list: |
|
52
|
|
|
|
|
|
|
|
|
53
|
|
|
|
|
|
|
I |
|
54
|
|
|
|
|
|
|
|
|
55
|
|
|
|
|
|
|
rather than to the module maintainer directly. Many experienced and |
|
56
|
|
|
|
|
|
|
reponsive experts will be able look at the problem and quickly |
|
57
|
|
|
|
|
|
|
address it. Please include a thorough description of the problem |
|
58
|
|
|
|
|
|
|
with code and data examples if at all possible. |
|
59
|
|
|
|
|
|
|
|
|
60
|
|
|
|
|
|
|
=head2 Reporting Bugs |
|
61
|
|
|
|
|
|
|
|
|
62
|
|
|
|
|
|
|
Report bugs to the Bioperl bug tracking system to help us keep track |
|
63
|
|
|
|
|
|
|
of the bugs and their resolution. Bug reports can be submitted via the |
|
64
|
|
|
|
|
|
|
web: |
|
65
|
|
|
|
|
|
|
|
|
66
|
|
|
|
|
|
|
https://github.com/bioperl/bioperl-live/issues |
|
67
|
|
|
|
|
|
|
|
|
68
|
|
|
|
|
|
|
=head1 AUTHOR - Jason Stajich |
|
69
|
|
|
|
|
|
|
|
|
70
|
|
|
|
|
|
|
Email jason-at-bioperl.org |
|
71
|
|
|
|
|
|
|
|
|
72
|
|
|
|
|
|
|
=head1 CONTRIBUTORS |
|
73
|
|
|
|
|
|
|
|
|
74
|
|
|
|
|
|
|
Thanks to Mike Sanderson for assistance in the getting this |
|
75
|
|
|
|
|
|
|
implementation together. |
|
76
|
|
|
|
|
|
|
|
|
77
|
|
|
|
|
|
|
=head1 APPENDIX |
|
78
|
|
|
|
|
|
|
|
|
79
|
|
|
|
|
|
|
The rest of the documentation details each of the object methods. |
|
80
|
|
|
|
|
|
|
Internal methods are usually preceded with a _ |
|
81
|
|
|
|
|
|
|
|
|
82
|
|
|
|
|
|
|
=cut |
|
83
|
|
|
|
|
|
|
|
|
84
|
|
|
|
|
|
|
|
|
85
|
|
|
|
|
|
|
# Let the code begin... |
|
86
|
|
|
|
|
|
|
|
|
87
|
|
|
|
|
|
|
|
|
88
|
|
|
|
|
|
|
package Bio::Tools::RandomDistFunctions; |
|
89
|
|
|
|
|
|
|
require Exporter; |
|
90
|
3
|
|
|
3
|
|
386
|
use vars qw(%LOADED @EXPORT_OK); use strict; |
|
|
3
|
|
|
3
|
|
3
|
|
|
|
3
|
|
|
|
|
127
|
|
|
|
3
|
|
|
|
|
11
|
|
|
|
3
|
|
|
|
|
4
|
|
|
|
3
|
|
|
|
|
59
|
|
|
91
|
|
|
|
|
|
|
|
|
92
|
|
|
|
|
|
|
#use Math::BigFloat lib => 'GMP,Bit::Vector'; |
|
93
|
|
|
|
|
|
|
#use Math::BigInt lib => 'GMP,Bit::Vector'; |
|
94
|
3
|
|
|
3
|
|
1548
|
use POSIX; |
|
|
3
|
|
|
|
|
14118
|
|
|
|
3
|
|
|
|
|
11
|
|
|
95
|
|
|
|
|
|
|
|
|
96
|
3
|
|
|
3
|
|
6002
|
use base qw(Bio::Root::Root); |
|
|
3
|
|
|
|
|
3
|
|
|
|
3
|
|
|
|
|
1021
|
|
|
97
|
|
|
|
|
|
|
|
|
98
|
|
|
|
|
|
|
=head2 birth_distribution |
|
99
|
|
|
|
|
|
|
|
|
100
|
|
|
|
|
|
|
Title : rand_birth_distribution |
|
101
|
|
|
|
|
|
|
Usage : my $randvar = $dist-> |
|
102
|
|
|
|
|
|
|
rand_birth_distribution($lambda); |
|
103
|
|
|
|
|
|
|
Function: Returns a random number from a birth process waiting |
|
104
|
|
|
|
|
|
|
time with a fixed interval |
|
105
|
|
|
|
|
|
|
1.0. Times are measured from 0=present,1=root; |
|
106
|
|
|
|
|
|
|
Returns : floating point number |
|
107
|
|
|
|
|
|
|
Args : $lambda ( > 0 ) |
|
108
|
|
|
|
|
|
|
References : This is based on code by Mike Sanders in r8s. |
|
109
|
|
|
|
|
|
|
Ross, Stochastic Processes, p. 145 for the density |
|
110
|
|
|
|
|
|
|
|
|
111
|
|
|
|
|
|
|
=cut |
|
112
|
|
|
|
|
|
|
|
|
113
|
|
|
|
|
|
|
sub rand_birth_distribution{ |
|
114
|
2060
|
|
|
2060
|
0
|
2205
|
my ($self,$lambda) = @_; |
|
115
|
2060
|
0
|
33
|
|
|
4451
|
if( ! ref($self) && |
|
116
|
|
|
|
|
|
|
$self !~ /RandomDistFunctions/ ) { |
|
117
|
0
|
|
|
|
|
0
|
$lambda = $self; |
|
118
|
|
|
|
|
|
|
} |
|
119
|
2060
|
50
|
|
|
|
3465
|
unless( $lambda ) { |
|
120
|
0
|
|
|
|
|
0
|
$self->throw("Cannot call birth_distribution without a valid lambda value (>0)"); |
|
121
|
|
|
|
|
|
|
} |
|
122
|
2060
|
|
|
|
|
11626
|
return 1 - (log(rand(1) * (exp($lambda) - 1)+1)/ $lambda); |
|
123
|
|
|
|
|
|
|
} |
|
124
|
|
|
|
|
|
|
|
|
125
|
|
|
|
|
|
|
|
|
126
|
|
|
|
|
|
|
=head2 rand_geometric_distribution |
|
127
|
|
|
|
|
|
|
|
|
128
|
|
|
|
|
|
|
Title : rand_geometric_distribution |
|
129
|
|
|
|
|
|
|
Usage : my $randvar = $dist->rand_geometric_distribution($param); |
|
130
|
|
|
|
|
|
|
Function: Returns a random geometric variate distributed with |
|
131
|
|
|
|
|
|
|
parameter $param, according to |
|
132
|
|
|
|
|
|
|
c.d.f. 1 - ( 1- param) ^ n |
|
133
|
|
|
|
|
|
|
Returns : integer |
|
134
|
|
|
|
|
|
|
Args : $param ( 0 > $param < 1 ) |
|
135
|
|
|
|
|
|
|
|
|
136
|
|
|
|
|
|
|
|
|
137
|
|
|
|
|
|
|
=cut |
|
138
|
|
|
|
|
|
|
|
|
139
|
|
|
|
|
|
|
sub rand_geometric_distribution{ |
|
140
|
1
|
|
|
1
|
1
|
2
|
my ($self,$param) = @_; |
|
141
|
1
|
0
|
33
|
|
|
4
|
if( ! ref($self) && |
|
142
|
|
|
|
|
|
|
$self !~ /RandomDistFunctions/ ) { |
|
143
|
0
|
|
|
|
|
0
|
$param = $self; |
|
144
|
|
|
|
|
|
|
} |
|
145
|
1
|
50
|
|
|
|
2
|
unless( $param ) { |
|
146
|
0
|
|
|
|
|
0
|
$self->throw("Cannot call rand_geometric_distribution without a valid param value (>0)"); |
|
147
|
|
|
|
|
|
|
} |
|
148
|
|
|
|
|
|
|
|
|
149
|
1
|
|
|
|
|
1
|
my $den; |
|
150
|
1
|
50
|
|
|
|
5
|
if( $param < 1e-8) { |
|
151
|
0
|
|
|
|
|
0
|
$den = (-1 * $param) - ( $param * $param ) / 2; |
|
152
|
|
|
|
|
|
|
} else { |
|
153
|
1
|
|
|
|
|
3
|
$den = log(1 - $param); |
|
154
|
|
|
|
|
|
|
} |
|
155
|
1
|
|
|
|
|
2
|
my $z = log(1 - rand(1)) / $den; |
|
156
|
1
|
|
|
|
|
11
|
return POSIX::floor($z) + 1; |
|
157
|
|
|
|
|
|
|
# MSanderson comments from r8s code |
|
158
|
|
|
|
|
|
|
# Is this the right truncation of the real-valued expression above? |
|
159
|
|
|
|
|
|
|
# YES |
|
160
|
|
|
|
|
|
|
# Checked by reference to the expected mean of the distribution in |
|
161
|
|
|
|
|
|
|
# 100,000 replicates |
|
162
|
|
|
|
|
|
|
# EX = 1/param Var = (1-param)/param^2 See Olkin, Gleser, and |
|
163
|
|
|
|
|
|
|
# Derman, p. 193ff. Probability Models and Applications, 1980. |
|
164
|
|
|
|
|
|
|
} |
|
165
|
|
|
|
|
|
|
|
|
166
|
|
|
|
|
|
|
=head2 rand_exponentional_distribution |
|
167
|
|
|
|
|
|
|
|
|
168
|
|
|
|
|
|
|
Title : rand_exponentional_distribution |
|
169
|
|
|
|
|
|
|
Usage : my $var = $dist->rand_exponentional_distribution($param); |
|
170
|
|
|
|
|
|
|
Function: Returns a random exponential variate distributed with parameter |
|
171
|
|
|
|
|
|
|
$param, according to c.d.f 1 - e^(-param * x) |
|
172
|
|
|
|
|
|
|
Returns : floating point number |
|
173
|
|
|
|
|
|
|
Args : $param ( > 0 ) |
|
174
|
|
|
|
|
|
|
|
|
175
|
|
|
|
|
|
|
|
|
176
|
|
|
|
|
|
|
=cut |
|
177
|
|
|
|
|
|
|
|
|
178
|
|
|
|
|
|
|
sub rand_exponentional_distribution { |
|
179
|
1
|
|
|
1
|
1
|
2
|
my ($self,$param) = @_; |
|
180
|
1
|
0
|
33
|
|
|
4
|
if( ! ref($self) && |
|
181
|
|
|
|
|
|
|
$self !~ /RandomDistFunctions/ ) { |
|
182
|
0
|
|
|
|
|
0
|
$param = $self; |
|
183
|
|
|
|
|
|
|
} |
|
184
|
1
|
50
|
|
|
|
3
|
unless( $param ) { |
|
185
|
0
|
|
|
|
|
0
|
$self->throw("Cannot call rand_exponentional_distribution without a valid param value (>0)"); |
|
186
|
|
|
|
|
|
|
} |
|
187
|
1
|
|
|
|
|
29
|
return log( 1- rand(1)) / $param; |
|
188
|
|
|
|
|
|
|
} |
|
189
|
|
|
|
|
|
|
|
|
190
|
|
|
|
|
|
|
=head2 rand_normal_distribution |
|
191
|
|
|
|
|
|
|
|
|
192
|
|
|
|
|
|
|
Title : rand_normal_distribution |
|
193
|
|
|
|
|
|
|
Usage : my $var = $dist->rand_normal_distribution() |
|
194
|
|
|
|
|
|
|
Function: Returns a random normal (gaussian) variate distributed |
|
195
|
|
|
|
|
|
|
Returns : floating point number |
|
196
|
|
|
|
|
|
|
Args : none |
|
197
|
|
|
|
|
|
|
|
|
198
|
|
|
|
|
|
|
|
|
199
|
|
|
|
|
|
|
=cut |
|
200
|
|
|
|
|
|
|
|
|
201
|
|
|
|
|
|
|
sub rand_normal_distribution{ |
|
202
|
1
|
|
|
1
|
1
|
1
|
my $gset; |
|
203
|
1
|
|
|
|
|
2
|
my ($rsq,$v1,$v2) = ( 0,0,0); |
|
204
|
1
|
|
33
|
|
|
2
|
do { |
|
205
|
1
|
|
|
|
|
3
|
$v1 = 2 * rand(1) - 1; |
|
206
|
1
|
|
|
|
|
3
|
$v2 = 2 * rand(1) - 1; |
|
207
|
1
|
|
|
|
|
8
|
$rsq= $v1**2 + $v2 ** 2; |
|
208
|
|
|
|
|
|
|
} while( $rsq >= 1 || $rsq == 0); |
|
209
|
1
|
|
|
|
|
3
|
my $fac = sqrt(-2.0 * log($rsq) / $rsq ); |
|
210
|
1
|
|
|
|
|
1
|
$gset = $v1 * $fac; |
|
211
|
1
|
|
|
|
|
3
|
return $v2 * $fac; |
|
212
|
|
|
|
|
|
|
} |
|
213
|
|
|
|
|
|
|
|
|
214
|
|
|
|
|
|
|
1; |