|  line  | 
 stmt  | 
 bran  | 
 cond  | 
 sub  | 
 pod  | 
 time  | 
 code  | 
| 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 package Statistics::Basic::LeastSquareFit;  | 
| 
3
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
4
 | 
33
 | 
 
 | 
 
 | 
  
33
  
 | 
 
 | 
797
 | 
 use strict;  | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
48
 | 
    | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2304
 | 
    | 
| 
5
 | 
33
 | 
 
 | 
 
 | 
  
33
  
 | 
 
 | 
1076
 | 
 use warnings;  | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
762
 | 
    | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2018
 | 
    | 
| 
6
 | 
33
 | 
 
 | 
 
 | 
  
33
  
 | 
 
 | 
155
 | 
 use Carp;  | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
47
 | 
    | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3886
 | 
    | 
| 
7
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
8
 | 
33
 | 
 
 | 
 
 | 
  
33
  
 | 
 
 | 
180
 | 
 use base 'Statistics::Basic::_TwoVectorBase';  | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
737
 | 
    | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
8701
 | 
    | 
| 
9
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 use overload  | 
| 
11
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     '""' => sub {  | 
| 
12
 | 
1
 | 
 
 | 
 
 | 
  
1
  
 | 
 
 | 
9
 | 
         my ($alpha,$beta) = map{$Statistics::Basic::fmt->format_number($_, $Statistics::Basic::IPRES)} $_[0]->query;  | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
131
 | 
    | 
| 
13
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
82
 | 
         "LSF( alpha: $alpha, beta: $beta )";  | 
| 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     },  | 
| 
15
 | 
1
 | 
 
 | 
 
 | 
  
1
  
 | 
 
 | 
178
 | 
     '0+' => sub { croak "the result of LSF may not be used as a number" },  | 
| 
16
 | 
33
 | 
 
 | 
 
 | 
  
33
  
 | 
 
 | 
54354
 | 
     fallback => 1; # tries to do what it would have done if this wasn't present.  | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
38562
 | 
    | 
| 
 
 | 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
439
 | 
    | 
| 
17
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
18
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # new {{{  | 
| 
19
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub new {  | 
| 
20
 | 
4
 | 
 
 | 
 
 | 
  
4
  
 | 
  
1
  
 | 
1450
 | 
     my $this = shift;  | 
| 
21
 | 
4
 | 
 
 | 
  
100
  
 | 
 
 | 
 
 | 
33
 | 
     my @var1  = (shift || ());  | 
| 
22
 | 
4
 | 
 
 | 
  
100
  
 | 
 
 | 
 
 | 
23
 | 
     my @var2  = (shift || ());  | 
| 
23
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
9
 | 
     my $v1    = eval { Statistics::Basic::Vector->new( @var1 ) } or croak $@;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
143
 | 
    | 
| 
24
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     my $v2    = eval { Statistics::Basic::Vector->new( @var2 ) } or croak $@;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
15
 | 
    | 
| 
25
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
26
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
15
 | 
     $this = bless {}, $this;  | 
| 
27
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
28
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
23
 | 
     my $c = $v1->_get_linked_computer( LSF => $v2 );  | 
| 
29
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     return $c if $c;  | 
| 
30
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
31
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
177
 | 
     $this->{_vectors} = [ $v1, $v2 ];  | 
| 
32
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
33
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     $this->{vrx} = eval { Statistics::Basic::Variance->new($v1)        } or croak $@;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
214
 | 
    | 
| 
34
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
9
 | 
     $this->{mnx} = eval { Statistics::Basic::Mean->new($v1)            } or croak $@;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
16
 | 
    | 
| 
35
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
8
 | 
     $this->{mny} = eval { Statistics::Basic::Mean->new($v2)            } or croak $@;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
17
 | 
    | 
| 
36
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
9
 | 
     $this->{cov} = eval { Statistics::Basic::Covariance->new($v1, $v2) } or croak $@;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
25
 | 
    | 
| 
37
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
38
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
19
 | 
     $v1->_set_linked_computer( LSF => $this, $v2 );  | 
| 
39
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
13
 | 
     $v2->_set_linked_computer( LSF => $this, $v1 );  | 
| 
40
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
41
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
19
 | 
     return $this;  | 
| 
42
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
43
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
44
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # _recalc {{{  | 
| 
45
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub _recalc {  | 
| 
46
 | 
4
 | 
 
 | 
 
 | 
  
4
  
 | 
 
 | 
11
 | 
     my $this  = shift;  | 
| 
47
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
48
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
14
 | 
     delete $this->{recalc_needed};  | 
| 
49
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
8
 | 
     delete $this->{alpha};  | 
| 
50
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6
 | 
     delete $this->{beta};  | 
| 
51
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
52
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
21
 | 
     my $vrx = $this->{vrx}->query; return unless defined $vrx; return unless $vrx > 0;  | 
| 
 
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
11
 | 
    | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
13
 | 
    | 
| 
53
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
19
 | 
     my $mnx = $this->{mnx}->query; return unless defined $mnx;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
    | 
| 
54
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     my $mny = $this->{mny}->query; return unless defined $mny;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
13
 | 
    | 
| 
55
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
24
 | 
     my $cov = $this->{cov}->query; return unless defined $cov;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
    | 
| 
56
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
57
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
15
 | 
     $this->{beta}  = ($cov / $vrx);  | 
| 
58
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     $this->{alpha} = ($mny - ($this->{beta} * $mnx));  | 
| 
59
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
60
 | 
4
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     warn "[recalc " . ref($this) . "] (alpha: $this->{alpha}, beta: $this->{beta})\n" if $Statistics::Basic::DEBUG;  | 
| 
61
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
62
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6
 | 
     return;  | 
| 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
64
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
65
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # query {{{  | 
| 
66
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub query {  | 
| 
67
 | 
10
 | 
 
 | 
 
 | 
  
10
  
 | 
  
1
  
 | 
32
 | 
     my $this = shift;  | 
| 
68
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
69
 | 
10
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
34
 | 
     $this->_recalc if $this->{recalc_needed};  | 
| 
70
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
71
 | 
10
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
21
 | 
     warn "[query " . ref($this) . " ($this->{alpha}, $this->{beta})]\n" if $Statistics::Basic::DEBUG;  | 
| 
72
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
73
 | 
10
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
79
 | 
     return (wantarray ? ($this->{alpha}, $this->{beta}) : [$this->{alpha}, $this->{beta}] );  | 
| 
74
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
75
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
76
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
77
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # query_vector1 {{{  | 
| 
78
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub query_vector1 {  | 
| 
79
 | 
2
 | 
 
 | 
 
 | 
  
2
  
 | 
  
1
  
 | 
462
 | 
     my $this = shift;  | 
| 
80
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
81
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
16
 | 
     return $this->{cov}->query_vector1;  | 
| 
82
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
83
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
84
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # query_vector2 {{{  | 
| 
85
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub query_vector2 {  | 
| 
86
 | 
2
 | 
 
 | 
 
 | 
  
2
  
 | 
  
1
  
 | 
16
 | 
     my $this = shift;  | 
| 
87
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
88
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
13
 | 
     return $this->{cov}->query_vector2;  | 
| 
89
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
90
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
91
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # query_mean1 {{{  | 
| 
92
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub query_mean1 {  | 
| 
93
 | 
0
 | 
 
 | 
 
 | 
  
0
  
 | 
  
1
  
 | 
 
 | 
     my $this = shift;  | 
| 
94
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
95
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     return $this->{mnx};  | 
| 
96
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
97
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
98
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # query_variance1 {{{  | 
| 
99
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub query_variance1 {  | 
| 
100
 | 
0
 | 
 
 | 
 
 | 
  
0
  
 | 
  
1
  
 | 
 
 | 
     my $this = shift;  | 
| 
101
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
102
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     return $this->{vrx};  | 
| 
103
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
104
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
105
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # query_covariance {{{  | 
| 
106
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub query_covariance {  | 
| 
107
 | 
0
 | 
 
 | 
 
 | 
  
0
  
 | 
  
1
  
 | 
 
 | 
     my $this = shift;  | 
| 
108
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
109
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     return $this->{cov};  | 
| 
110
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
111
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
112
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
113
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # y_given_x {{{  | 
| 
114
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub y_given_x {  | 
| 
115
 | 
0
 | 
 
 | 
 
 | 
  
0
  
 | 
  
1
  
 | 
 
 | 
     my $this = shift;  | 
| 
116
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     my ($alpha, $beta) = $this->query;  | 
| 
117
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     my $x = shift;  | 
| 
118
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
119
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     return ($beta*$x + $alpha);  | 
| 
120
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
121
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
122
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # x_given_y {{{  | 
| 
123
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub x_given_y {  | 
| 
124
 | 
0
 | 
 
 | 
 
 | 
  
0
  
 | 
  
1
  
 | 
 
 | 
     my $this = shift;  | 
| 
125
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     my ($alpha, $beta) = $this->query;  | 
| 
126
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     my $y = shift;  | 
| 
127
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
128
 | 
0
 | 
  
  0
  
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     defined( my $x = eval { ( ($y-$alpha)/$beta ) }) or croak $@;  | 
| 
 
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
129
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     return $x;  | 
| 
130
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
131
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # }}}  | 
| 
132
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
133
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 1;  |