什么是“融合”不同指针指向的位置的好方法?

问题描述 投票:2回答:3

我有许多指针指向内存中的不同(或相同)位置。我想实现一种机制,允许我们“融合”指针的给定子集所指向的位置。

我现在正在使用perl 5.6.1,但我对其他语言的实现持开放态度。我想出了perl中的以下哑实现:

my $ref1 = \1;
my $ref2 = \2;
print "${$ref1} : ${$ref2}\n"; # <-- prints 1 : 2

fuse(\$ref1, \$ref2);          # <-- Make $ref2 point to same location as $ref1
print "${$ref1} : ${$ref2}\n"; # <-- prints 1 : 1 (which is correct)

sub fuse
{
    ${$_[1]} = ${$_[0]}; 
}

但是,当我们不得不融合多次时,这不会像预期的那样起作用:

my $ref1 = \1;
my $ref2 = \2;
my $ref3 = \3;
print "${$ref1} : ${$ref2} : ${$ref3}\n"; # <-- prints 1 : 2 : 3

fuse(\$ref1, \$ref2);                     # <-- Make $ref2 point to same location as $ref1
print "${$ref1} : ${$ref2} : ${$ref3}\n"; # <-- prints 1 : 1 : 3 (which is correct)

fuse(\$ref3, \$ref1);                     # <-- Make $ref1 point to same location as $ref3
print "${$ref1} : ${$ref2} : ${$ref3}\n"; # <-- prints 3 : 1 : 3 ($ref2 is useless now)

sub fuse
{
    ${$_[1]} = ${$_[0]}; 
}

在上面的例子中,我希望所有三个变量$ref1$ref2$ref3最终指向包含3的位置。

有没有一种很好的方法来完成这个“融合”,而无需手动重新分配我们想要改变其指示对象的每个指针?

语境: 我试图模拟一个电路(有电线)。当两个节点通过导线连接时,两个节点的一个属性(比如电压)变得相同。当这些节点中的一个连接到第三个节点(带有电线)时,无论它们之前具有什么值,所有三个节点上的电压都变得相同,并且只要存在连接就继续保持相同。

我在谷歌搜索HDL如何实现电线失败的尝试(我可能不知道谷歌的内容)。

perl pointers memory reference hdl
3个回答
2
投票

我相信

  • 您希望能够将融合组的任何部分与另一个融合组的任何部分融合。
  • 您希望能够设置值,以便更新融合集的每个部分。

这意味着以下程序定义了预期的行为:

use strict;
use warnings qw( all );
use feature qw( say );
use FindBin qw( $RealBin );
use lib $RealBin;

use Wire qw( );

my $o1 = Wire->new( voltage => 1 );
my $o2 = Wire->new( voltage => 2 );
my $o3 = Wire->new( voltage => 3 );
my $o4 = Wire->new( voltage => 4 );
say join " ", map $_->get_voltage(), $o1, $o2, $o3, $o4;  # 1 2 3 4

$o2->fuse($o1);
$o3->fuse($o4);
$o1->fuse($o3);
say join " ", map $_->get_voltage(), $o1, $o2, $o3, $o4;  # 4 4 4 4

$o1->set_voltage(5);
say join " ", map $_->get_voltage(), $o1, $o2, $o3, $o4;  # 5 5 5 5

$o3->set_voltage(6);
say join " ", map $_->get_voltage(), $o1, $o2, $o3, $o4;  # 6 6 6 6

本课程实现了:

package Wire;

use strict;
use warnings qw( all );

sub new {
   my ($class, %args) = @_;
   my $voltage = $args{voltage} // 0;
   my $self = bless({}, $class);
   $self->{shared_voltage} = { value => $voltage, backrefs => [] };
   push @{ $self->{shared_voltage}{backrefs} }, \( $self->{shared_voltage} );
   return $self;
}

sub get_voltage { $_[0]{shared_voltage}{value} }
sub set_voltage { $_[0]{shared_voltage}{value} = $_[1]; }

sub fuse {
   my ($self, $new) = @_;
   my $old_sv = $self->{shared_voltage};  my $old_sv_br = $old_sv->{backrefs};
   my $new_sv = $new->{shared_voltage};   my $new_sv_br = $new_sv->{backrefs};
   for my $backref (@$old_sv_br) {
      $$backref = $new_sv;
      push @$new_sv_br, $backref;
   }
}

sub DESTROY {
   my ($self) = @_;
   @{ $self->{shared_voltage}{backrefs} } =
      grep { $_ != \( $self->{shared_voltage} ) }
         @{ $self->{shared_voltage}{backrefs} };
}

1;

通过将融合节点的引用列表与共享值一起存储来实现结果。这与Perl中的Copy-on-Write字符串使用的方法相同。融合结构如下所示:

+-$o1--+             +-Wire----------------+
| Ref -------------->| +-shared_voltage--+ |               +-anon hash------+
+------+   +---------->| Reference      ------------------>| +-value------+ |
           |         | +-----------------+ |   / / /       | | 4          | |
           |         +---------------------+   | | |       | +-backrefs---+ |
           |                                   | | |       | | Reference -------+
           |                                   | | |       | +------------+ |   |
+-$o2--+   |         +-Wire----------------+   | | |       +----------------+   |
| Ref -----(-------->| +-shared_voltage--+ |   | | |                            |
+------+   | +-------->| Reference      -------+ | |   +------------------------+
           | |       | +-----------------+ |     | |   |
           | |       +---------------------+     | |   |   +-anon array-----+
           | |                                   | |   +-->| +-0----------+ |
           | |                                   | |       | | Reference -------------+
+-$o3--+   | |       +-Wire----------------+     | |       | +-1----------+ |         |
| Ref -----(-(------>| +-shared_voltage--+ |     | |       | | Reference -----------+ |
+------+   | | +------>| Reference      ---------+ |       | +-2----------+ |       | |
           | | |     | +-----------------+ |       |       | | Reference ---------+ | |
           | | |     +---------------------+       |       | +-3----------+ |     | | |
           | | |                                   |       | | Reference -------+ | | |
           | | |                                   |       | +------------+ |   | | | |
+-$o4--+   | | |     +-Wire----------------+       |       +----------------+   | | | |
| Ref -----(-(-(---->| +-shared_voltage--+ |       |                            | | | |
+------+   | | | +---->| Reference      -----------+                            | | | |
           | | | |   | +-----------------+ |                                    | | | |
           | | | |   +---------------------+                                    | | | |
           | | | |                                                              | | | |
           | | | |                                                              | | | |
           | | | +--------------------------------------------------------------+ | | |
           | | +------------------------------------------------------------------+ | |
           | +----------------------------------------------------------------------+ |
           +--------------------------------------------------------------------------+

(backrefs的顺序没有准确表示。)

我认为你会在实践中发现这比your solution更快。就像你的一样,融合是O(N)。然而,获得和设置电压是O(1)而不是O(N)。虽然我的对象破坏是O(N)而不是O(1),但是可以通过使用散列而不是用于backref的数组来使其成为O(1)。那就是说。作为阵列,它可能实际上更快。这就是Perl为CoW字符串所做的事情。 N是融合的大小(在我们的测试用例中为4)。


2
投票

我几乎放弃了绊倒这个奇怪的东西,叫做disjoint-set data structure,它似乎是为解决这个问题而发明的。以下是我使用的代码:

use Scalar::Util qw( weaken );

my $ref1 = {}; $ref1->{voltage} = 1; weaken( $ref1->{parent} = $ref1 );
my $ref2 = {}; $ref2->{voltage} = 2; weaken( $ref2->{parent} = $ref2 );
my $ref3 = {}; $ref3->{voltage} = 3; weaken( $ref3->{parent} = $ref3 );
my $ref4 = {}; $ref4->{voltage} = 4; weaken( $ref4->{parent} = $ref4 );

print "@{[map(get_vol($_), ($ref1, $ref2, $ref3, $ref4))]}\n";
# Above line print 1 2 3 4

fuse($ref1, $ref2); # <-- Second argument gets set to first
print "@{[map(get_vol($_), ($ref1, $ref2, $ref3, $ref4))]}\n";
# Above line print 1 1 3 4

fuse($ref4, $ref3);
set_vol($ref3, 5);
print "@{[map(get_vol($_), ($ref1, $ref2, $ref3, $ref4))]}\n";
# Above line print 1 1 5 5

fuse($ref2, $ref3);
set_vol($ref3, 7);
print "@{[map(get_vol($_), ($ref1, $ref2, $ref3, $ref4))]}\n";
# Above line print 7 7 7 7


sub fuse
{
    my ($node1, $node2) = ($_[0], $_[1]);
    $node2 = $node2->{parent} while ($node2->{parent} != $node2);
    $node2->{parent} = $node1;
}

sub get_vol
{
    my $node = shift;
    $node = $node->{parent} while ($node != $node->{parent});
    return $node->{voltage};
}

sub set_vol
{
    my $node = shift;
    $node = $node->{parent} while ($node != $node->{parent});
    $node->{voltage} = shift;
}

在此之后,使用$ref设置任何set_vols将反映在所有其他get_vols的$ref输出中。

显然,我们可以在读取和设置电压时添加其他优化,这样我们就不必在读取或写入某些节点时遍历整个树。


更新:以下使用上述简单原理,但在不使用weaken的情况下避免了内存泄漏,并优化了电压查找(因此只有保险丝后的第一次查找“慢”)。

package Wire;

use strict;
use warnings qw( all );

sub new {
   my ($class, %args) = @_;
   my $voltage = $args{voltage} // 0;
   my $self = bless({}, $class);
   $self->{voltage_indirect_chain} = { next => undef, value => $voltage };
   return $self;
}

sub _tail {
   my ($self) = @_;
   $self->{voltage_indirect_chain} = $self->{voltage_indirect_chain}{next}
      while $self->{voltage_indirect_chain}{next};

   return $self->{voltage_indirect_chain};
}

sub get_voltage { $_[0]->_tail()->{value} }
sub set_voltage { $_[0]->_tail()->{value} = $_[1]; }

sub fuse {
   my ($self, $new) = @_;
   my $tail = $self->_tail();
   delete $tail->{value};
   $tail->{next} = $new->_tail();
}

1;

1
投票

这个基本实现依赖于一个class属性,所有不相交的“融合”节点组都由它们的值键入。每次融合时,它们都会根据需要进行更新和合并。

use warnings;
use strict;
use feature 'say';
use FindBin qw($RealBin);
use lib $RealBin;         # to load from ./
#use Data::Dump qw(dd);

use Nodes;

my $n1 = Nodes->new(volt => 10);
my $n2 = Nodes->new(volt => 20);
my $n3 = Nodes->new(volt => 30);
my $n4 = Nodes->new(volt => 40);

say "\nFuse n1 with (set to) n3:";
$n1->fuse_with($n3);  # n1 is now at same voltage as n3
say "\tvoltage for node ", $_->label, " is: ", $_->volt
    for ($n1, $n2, $n3, $n4);

say "\nFuse n4 with (set to) n2:";
$n4->fuse_with($n2);  # n4 is now same as n2
say "\tvoltage for node ", $_->label, " is: ", $_->volt
    for ($n1, $n2, $n3, $n4);

say "\nFuse n1 with (set to) n4:";
$n1->fuse_with($n4);  # n1 is now same as n4, and so are n2 and n3
say "\tvoltage for node ", $_->label, " is: ", $_->volt
    for ($n1, $n2, $n3, $n4);

# dd \%Nodes::Fused;

nodes.屏幕

package Nodes;

use warnings;
use strict;
use feature 'say';    
#use Data::Dump qw(dd);

our $Label = 0;
our %Fused;   # disjoint groups ( value => { label => node, ... }, ... )

sub new {
    my ($class, %args) = @_;
    my $self = { _volt => $args{volt}, _label => ++$Label };  
    say "New node: volt = ", $self->{_volt}, ", label = ", $self->{_label};
    $Fused{$self->{_volt}} = { $self->{_label} => $self };
    return bless $self, $class;
}

sub volt {
    my ($self, $val) = @_; 
    $self->{_volt} = $val if $val;
    return $self->{_volt};
}

sub label { return $_[0]->{_label} }

sub fuse_with {
    my ($self, $node) = @_; 
    # Retrieve groups that have $self or $node
    my %groups = map { 
        ( exists $Fused{$_}->{$self->{_label}} or
          exists $Fused{$_}->{$node->label} )
            ? ($_ => $Fused{$_}) : ()  
    } keys %Fused;
    # Add these nodes if they are in no groups, or
    # Remove %groups from %Fused, fuse them into new one, update voltage
    if (not keys %groups) {
        $Fused{$node->volt}->{$_->label} = $_  for ($self, $node);
        $self->{_volt} = $node->volt;
    }   
    else {
        delete $Fused{$_} for keys %groups;
        $Fused{$node->volt} = { map { %{$groups{$_}} } keys %groups };
        $Fused{$node->volt}->{$node->label}    //= $node;  #/
        $Fused{$node->volt}->{$self->{_label}} //= $self;  #/
        $Fused{$node->volt}->{$_}->{_volt} = $node->volt  
            for keys %{$Fused{$node->volt}};
    }
    # dd \%Fused;
}   

sub cleanup {
    my ($self, $voltage) = @_;
    if ($voltage) {  # new voltage (and label) for the fused group
        $Fused{$voltage} = $Fused{$self->{_volt}};
        delete $Fused{$self->{_volt}};
        $Fused{$voltage}->{$_}->{_volt} = $voltage
            for keys %{$Fused{$voltage}};
    }
    $self->DESTROY;
}

# Must be called manually, via cleanup(), when object leaves scope
sub DESTROY {
    my ($self) = @_;
    return if ${^GLOBAL_PHASE} eq 'DESTRUCT';
    delete $Fused{$_}->{$self->{_label}}  for keys %Fused;
}       

return 1;

这打印

New node: volt = 10, label = 1
New node: volt = 20, label = 2
New node: volt = 30, label = 3
New node: volt = 40, label = 4

Fuse n1 with (set to) n3:
        voltage for node 1 is: 30
        voltage for node 2 is: 20
        voltage for node 3 is: 30
        voltage for node 4 is: 40

Fuse n4 with (set to) n2:
        voltage for node 1 is: 30
        voltage for node 2 is: 20
        voltage for node 3 is: 30
        voltage for node 4 is: 20

Fuse n1 with (set to) n4:
        voltage for node 1 is: 20
        voltage for node 2 is: 20
        voltage for node 3 is: 20
        voltage for node 4 is: 20

取消注释(并添加)%Nodes::Fused的打印,以查看“融合”组如何跟踪。

这种方法有以下要求:如果要销毁一个对象(超出范围),则需要显式调用析构函数。为此提供了cleanup()方法

{ # lexical will go out of scope while the object is in fused groups
    my $n5 = Node->new(volt => 500);
    $n2->fuse_with($n5);
    $n5->cleanup(25);    # with new voltage for the group (optional)
}

原因恰恰是方便的类属性,它保持对对象的引用,因此不会自动调用析构函数。

另一种方法是在每个对象中使用“融合”列表。如果有许多节点,这会变得很昂贵,并且通常因为每个对象必须重写整个列表O(N2)。这是建模电路的一种可能方案,因此我保留了class属性。

还有一些评论

  • 这样做可以满足需要,但它缺少点点滴滴
  • 它依赖于一个类属性,如果它涉及到什么不是最干净的设计。它缠绕对象,创建一个全局实体,原则上反对对象的独立性
  • 缺少一些基本方法,特别是“不使用”节点并独立设置新值(如果需要,更新所有融合节点)
  • 需要检查。需要一些低级别的优化
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