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# Module for Bio::PhyloNetwork::muVector |
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# |
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# Please direct questions and support issues to |
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# |
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# Cared for by Gabriel Cardona |
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# |
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# Copyright Gabriel Cardona |
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# |
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# You may distribute this module under the same terms as perl itself |
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# POD documentation - main docs before the code |
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=head1 NAME |
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Bio::PhyloNetwork::muVector - Module to compute with vectors of arbitrary |
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dimension |
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=head1 SYNOPSIS |
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use strict; |
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use warnings; |
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use Bio::PhyloNetwork::muVector; |
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my $vec1=Bio::PhyloNetwork::muVector->new(4); |
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my $vec2=Bio::PhyloNetwork::muVector->new([1,2,3,4]); |
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my $vec3=Bio::PhyloNetwork::muVector->new([10,20,30,40]); |
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my $vec4=$vec3-10*$vec2; |
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if (($vec4 cmp $vec1) == 0) { |
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print "$vec4 is zero\n"; |
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} |
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my $vec5=Bio::PhyloNetwork::muVector->new([8,2,2,4]); |
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my $vec6=Bio::PhyloNetwork::muVector->new([1,2,3,4]); |
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print "Test poset $vec5 > $vec6: ".$vec5->geq_poset($vec6)."\n"; |
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print "Test lex $vec5 > $vec6: ".($vec5 cmp $vec6)."\n"; |
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=head1 DESCRIPTION |
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This is a module to work with vectors. It creates |
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vectors of arbitrary length, defines its basic arithmetic operations, |
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its lexicographic ordering and the natural structure of poset. |
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=head1 AUTHOR |
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Gabriel Cardona, gabriel(dot)cardona(at)uib(dot)es |
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=head1 APPENDIX |
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The rest of the documentation details each of the object methods. |
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=cut |
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package Bio::PhyloNetwork::muVector; |
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use strict; |
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use warnings; |
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use base qw(Bio::Root::Root); |
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=head2 new |
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Title : new |
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Usage : my $mu = new Bio::PhyloNetwork::muVector(); |
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Function: Creates a new Bio::PhyloNetwork::muVector object |
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Returns : Bio::PhyloNetwork::muVector |
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Args : integer or (reference to) an array |
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If given an integer as argument, returns a Bio::PhyloNetwork::muVector |
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object with dimension the integer given and initialized to zero. |
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If it is an anonimous array, then the vector is initialized with the values |
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in the array and with the corresponding dimension. |
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=cut |
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sub new { |
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my ($pkg,$cont)=@_; |
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my $self=$pkg->SUPER::new(); |
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my @arr=(); |
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if (!ref($cont)) { |
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#$cont is a number; initialize to a zero-vector |
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for (my $i=0; $i < $cont; $i++) { |
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$arr[$i]=0; |
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} |
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$self->{arr}=\@arr; |
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} else { |
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#$cont points to an array |
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@arr=@{$cont}; |
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} |
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$self->{dim}=scalar @arr; |
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$self->{arr}=\@arr; |
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bless($self,$pkg); |
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return $self; |
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} |
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sub dim { |
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return shift->{dim} |
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} |
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use overload |
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"+" => \&add, |
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"-" => \&substract, |
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"*" => \&scalarproduct, |
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"<=>" => \&comparelex, |
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"cmp" => \&comparelex, |
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'""' => \&display, |
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'@{}' => \&as_array; |
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sub as_array { |
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return shift->{arr}; |
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} |
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=head2 display |
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Title : display |
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Usage : my $str=$mu->display() |
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Function: returns an string displaying its contents |
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Returns : string |
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Args : none |
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This function is also overloaded to the "" operator. |
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=cut |
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sub display { |
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1
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my ($self)=@_; |
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my @arr=@{$self->{arr}}; |
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return "(@arr)"; |
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} |
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=head2 add |
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Title : add |
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Usage : $mu->add($mu2) |
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Function: returns the sum of $mu and $mu2 |
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Returns : Bio::PhyloNetwork::muVector |
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Args : Bio::PhyloNetwork::muVector |
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This function is also overloaded to the + operator. |
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=cut |
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sub add { |
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my ($v1,$v2)=@_; |
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$v1->throw("Vectors not the same size") unless ($v1->{dim} == $v2->{dim}); |
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my $dim=$v1->{dim}; |
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my @sum=(); |
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for (my $i=0; $i<$dim; $i++) { |
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$sum[$i]=$v1->[$i]+$v2->[$i]; |
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} |
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my $result=Bio::PhyloNetwork::muVector->new(\@sum); |
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return $result; |
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} |
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=head2 substract |
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Title : substract |
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Usage : $mu->substract($mu2) |
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Function: returns the difference of $mu and $mu2 |
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Returns : Bio::PhyloNetwork::muVector |
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Args : Bio::PhyloNetwork::muVector |
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This function is also overloaded to the - operator. |
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=cut |
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sub substract { |
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1
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my ($v1,$v2)=@_; |
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174
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$v1->throw("Vectors not the same size") unless ($v1->{dim} == $v2->{dim}); |
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my $dim=$v1->{dim}; |
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my @sum=(); |
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for (my $i=0; $i<$dim; $i++) { |
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$sum[$i]=$v1->{arr}->[$i]-$v2->{arr}->[$i]; |
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} |
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15
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20
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my $result=Bio::PhyloNetwork::muVector->new(\@sum); |
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return $result; |
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} |
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184
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=head2 scalarproduct |
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186
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Title : scalarproduct |
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Usage : $mu->scalarproduct($ct) |
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Function: returns the scalar product of $ct and $mu |
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189
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Returns : Bio::PhyloNetwork::muVector |
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190
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Args : scalar |
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191
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192
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This function is also overloaded to the * operator. |
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194
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=cut |
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195
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196
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sub scalarproduct { |
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197
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1
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1
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1
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991
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my ($v1,$num,$swapped)=@_; |
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198
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199
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1
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3
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my $dim=$v1->{dim}; |
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200
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1
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2
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my @sum=(); |
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201
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1
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4
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for (my $i=0; $i<$dim; $i++) { |
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202
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4
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9
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$sum[$i]=$num*$v1->{arr}->[$i]; |
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203
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} |
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204
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1
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3
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my $result=Bio::PhyloNetwork::muVector->new(\@sum); |
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205
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1
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3
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return $result; |
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206
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0
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0
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return $result; |
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207
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} |
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208
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209
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=head2 comparelex |
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210
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211
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Title : comparelex |
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212
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Usage : $mu1->comparelex($mu2) |
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213
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Function: compares $mu and $mu2 w.r.t. the lexicographic ordering |
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214
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Returns : scalar (-1 if $mu1<$mu2, 0 if $mu1=$mu2, 1 if $mu1>$mu2) |
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215
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Args : Bio::PhyloNetwork::muVector |
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216
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217
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This function is also overloaded to the E=E and cmp operator. |
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218
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219
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=cut |
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220
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221
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sub comparelex { |
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222
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171781
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171781
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1
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116510
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my ($v1,$v2)=@_; |
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223
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224
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171781
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50
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227723
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$v1->throw("Vectors not the same size") unless ($v1->{dim} == $v2->{dim}); |
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225
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171781
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114210
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my $dim=$v1->{dim}; |
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226
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171781
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207754
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for (my $i=0; $i<$dim; $i++) { |
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227
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283497
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100
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546071
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return -1 if $v1->{arr}->[$i] < $v2->{arr}->[$i]; |
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228
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201671
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100
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471585
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return 1 if $v1->{arr}->[$i] > $v2->{arr}->[$i]; |
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229
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} |
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230
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21514
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51461
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return 0; |
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231
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} |
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232
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233
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=head2 geq_poset |
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234
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235
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Title : geq_poset |
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236
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Usage : $mu1->geq_poset($mu2) |
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237
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Function: compares $mu and $mu2 w.r.t. the natural partial ordering |
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238
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Returns : boolean (1 if $mu >= $mu2, 0 otherwise) |
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239
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Args : Bio::PhyloNetwork::muVector |
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240
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241
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=cut |
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242
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243
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sub geq_poset { |
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244
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80
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80
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1
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56
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my ($v1,$v2)=@_; |
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245
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246
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80
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50
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129
|
$v1->throw("Vectors not the same size") unless ($v1->{dim} == $v2->{dim}); |
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247
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80
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57
|
my $dim=$v1->{dim}; |
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248
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80
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103
|
for (my $i=0; $i<$dim; $i++) { |
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249
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219
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100
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196
|
return 0 unless $v1->[$i] >= $v2->[$i]; |
|
250
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} |
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251
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16
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29
|
return 1; |
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252
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} |
|
253
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|
254
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|
|
=head2 is_positive |
|
255
|
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|
256
|
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|
|
Title : is_positive |
|
257
|
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|
|
Usage : $mu->is_positive() |
|
258
|
|
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|
|
|
Function: tests if all components of $mu are positive (or zero) |
|
259
|
|
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|
|
Returns : boolean |
|
260
|
|
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|
|
Args : none |
|
261
|
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|
262
|
|
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|
|
=cut |
|
263
|
|
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|
264
|
|
|
|
|
|
|
sub is_positive { |
|
265
|
92
|
|
|
92
|
1
|
58
|
my ($v1)=@_; |
|
266
|
|
|
|
|
|
|
|
|
267
|
92
|
|
|
|
|
72
|
my $dim=$v1->{dim}; |
|
268
|
92
|
|
|
|
|
115
|
for (my $i=0; $i<$dim; $i++) { |
|
269
|
368
|
50
|
|
|
|
305
|
return 0 unless $v1->[$i] >= 0; |
|
270
|
|
|
|
|
|
|
} |
|
271
|
92
|
|
|
|
|
256
|
return 1; |
|
272
|
|
|
|
|
|
|
} |
|
273
|
|
|
|
|
|
|
|
|
274
|
|
|
|
|
|
|
=head2 hamming |
|
275
|
|
|
|
|
|
|
|
|
276
|
|
|
|
|
|
|
Title : hamming |
|
277
|
|
|
|
|
|
|
Usage : $mu1->hamming($mu2) |
|
278
|
|
|
|
|
|
|
Function: returns the Hamming distance between $mu1 and $mu2 |
|
279
|
|
|
|
|
|
|
Returns : scalar |
|
280
|
|
|
|
|
|
|
Args : Bio::PhyloNetwork::muVector |
|
281
|
|
|
|
|
|
|
|
|
282
|
|
|
|
|
|
|
=cut |
|
283
|
|
|
|
|
|
|
|
|
284
|
|
|
|
|
|
|
sub hamming { |
|
285
|
45
|
|
|
45
|
1
|
37
|
my ($v1,$v2)=@_; |
|
286
|
|
|
|
|
|
|
|
|
287
|
45
|
50
|
|
|
|
99
|
$v1->throw("Vectors not the same size") unless ($v1->{dim} == $v2->{dim}); |
|
288
|
45
|
|
|
|
|
43
|
my $dim=$v1->{dim}; |
|
289
|
45
|
|
|
|
|
44
|
my $w=0; |
|
290
|
45
|
|
|
|
|
68
|
for (my $i=0; $i<$dim; $i++) { |
|
291
|
180
|
100
|
|
|
|
188
|
$w++ unless $v1->[$i] == $v2->[$i]; |
|
292
|
|
|
|
|
|
|
} |
|
293
|
45
|
|
|
|
|
57
|
return $w; |
|
294
|
|
|
|
|
|
|
} |
|
295
|
|
|
|
|
|
|
|
|
296
|
|
|
|
|
|
|
=head2 manhattan |
|
297
|
|
|
|
|
|
|
|
|
298
|
|
|
|
|
|
|
Title : manhattan |
|
299
|
|
|
|
|
|
|
Usage : $mu1->manhattan($mu2) |
|
300
|
|
|
|
|
|
|
Function: returns the Manhattan distance between $mu1 and $mu2 |
|
301
|
|
|
|
|
|
|
Returns : scalar |
|
302
|
|
|
|
|
|
|
Args : Bio::PhyloNetwork::muVector |
|
303
|
|
|
|
|
|
|
|
|
304
|
|
|
|
|
|
|
=cut |
|
305
|
|
|
|
|
|
|
|
|
306
|
|
|
|
|
|
|
sub manhattan { |
|
307
|
45
|
|
|
45
|
1
|
35
|
my ($v1,$v2)=@_; |
|
308
|
|
|
|
|
|
|
|
|
309
|
45
|
50
|
|
|
|
83
|
$v1->throw("Vectors not the same size") unless ($v1->{dim} == $v2->{dim}); |
|
310
|
45
|
|
|
|
|
38
|
my $dim=$v1->{dim}; |
|
311
|
45
|
|
|
|
|
27
|
my $w=0; |
|
312
|
45
|
|
|
|
|
77
|
for (my $i=0; $i<$dim; $i++) { |
|
313
|
180
|
|
|
|
|
181
|
$w+= abs($v1->[$i] - $v2->[$i]); |
|
314
|
|
|
|
|
|
|
} |
|
315
|
45
|
|
|
|
|
54
|
return $w; |
|
316
|
|
|
|
|
|
|
} |
|
317
|
|
|
|
|
|
|
|
|
318
|
|
|
|
|
|
|
1; |