346 lines
12 KiB
C++
346 lines
12 KiB
C++
|
/* graph.cpp */
|
||
|
/*
|
||
|
Copyright 2001 Vladimir Kolmogorov (vnk@cs.cornell.edu), Yuri Boykov (yuri@csd.uwo.ca).
|
||
|
|
||
|
This program is free software; you can redistribute it and/or modify
|
||
|
it under the terms of the GNU General Public License as published by
|
||
|
the Free Software Foundation; either version 2 of the License, or
|
||
|
(at your option) any later version.
|
||
|
|
||
|
This program is distributed in the hope that it will be useful,
|
||
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||
|
GNU General Public License for more details.
|
||
|
|
||
|
You should have received a copy of the GNU General Public License
|
||
|
along with this program; if not, write to the Free Software
|
||
|
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
|
||
|
*/
|
||
|
|
||
|
|
||
|
#include <stdio.h>
|
||
|
#include "graph.h"
|
||
|
|
||
|
Graph::Graph(void (*err_function)(const char *))
|
||
|
{
|
||
|
error_function = err_function;
|
||
|
node_block_first = NULL;
|
||
|
arc_for_block_first = NULL;
|
||
|
arc_rev_block_first = NULL;
|
||
|
flow = 0;
|
||
|
}
|
||
|
|
||
|
Graph::~Graph()
|
||
|
{
|
||
|
while (node_block_first)
|
||
|
{
|
||
|
node_block *next = node_block_first -> next;
|
||
|
delete node_block_first;
|
||
|
node_block_first = next;
|
||
|
}
|
||
|
|
||
|
while (arc_for_block_first)
|
||
|
{
|
||
|
arc_for_block *next = arc_for_block_first -> next;
|
||
|
delete arc_for_block_first -> start;
|
||
|
arc_for_block_first = next;
|
||
|
}
|
||
|
|
||
|
while (arc_rev_block_first)
|
||
|
{
|
||
|
arc_rev_block *next = arc_rev_block_first -> next;
|
||
|
delete arc_rev_block_first -> start;
|
||
|
arc_rev_block_first = next;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
Graph::node_id Graph::add_node()
|
||
|
{
|
||
|
node *i;
|
||
|
|
||
|
if (!node_block_first || node_block_first->current+1 > &node_block_first->nodes[NODE_BLOCK_SIZE-1])
|
||
|
{
|
||
|
node_block *next = node_block_first;
|
||
|
node_block_first = (node_block *) new node_block;
|
||
|
if (!node_block_first) { if (error_function) (*error_function)("Not enough memory!"); exit(1); }
|
||
|
node_block_first -> current = & ( node_block_first -> nodes[0] );
|
||
|
node_block_first -> next = next;
|
||
|
}
|
||
|
|
||
|
i = node_block_first -> current ++;
|
||
|
i -> first_out = (arc_forward *) 0;
|
||
|
i -> first_in = (arc_reverse *) 0;
|
||
|
|
||
|
i -> tr_cap = 0;
|
||
|
|
||
|
return (node_id) i;
|
||
|
}
|
||
|
|
||
|
void Graph::add_edge(node_id from, node_id to, captype cap, captype rev_cap)
|
||
|
{
|
||
|
arc_forward *a_for;
|
||
|
arc_reverse *a_rev;
|
||
|
|
||
|
if (!arc_for_block_first || arc_for_block_first->current+1 > &arc_for_block_first->arcs_for[ARC_BLOCK_SIZE])
|
||
|
{
|
||
|
arc_for_block *next = arc_for_block_first;
|
||
|
char *ptr = new char[sizeof(arc_for_block)+1];
|
||
|
if (!ptr) { if (error_function) (*error_function)("Not enough memory!"); exit(1); }
|
||
|
if ((PTR_CAST)ptr & 1) arc_for_block_first = (arc_for_block *) (ptr + 1);
|
||
|
else arc_for_block_first = (arc_for_block *) ptr;
|
||
|
arc_for_block_first -> start = ptr;
|
||
|
arc_for_block_first -> current = & ( arc_for_block_first -> arcs_for[0] );
|
||
|
arc_for_block_first -> next = next;
|
||
|
}
|
||
|
|
||
|
if (!arc_rev_block_first || arc_rev_block_first->current+1 > &arc_rev_block_first->arcs_rev[ARC_BLOCK_SIZE])
|
||
|
{
|
||
|
arc_rev_block *next = arc_rev_block_first;
|
||
|
char *ptr = new char[sizeof(arc_rev_block)+1];
|
||
|
if (!ptr) { if (error_function) (*error_function)("Not enough memory!"); exit(1); }
|
||
|
if ((PTR_CAST)ptr & 1) arc_rev_block_first = (arc_rev_block *) (ptr + 1);
|
||
|
else arc_rev_block_first = (arc_rev_block *) ptr;
|
||
|
arc_rev_block_first -> start = ptr;
|
||
|
arc_rev_block_first -> current = & ( arc_rev_block_first -> arcs_rev[0] );
|
||
|
arc_rev_block_first -> next = next;
|
||
|
}
|
||
|
|
||
|
a_for = arc_for_block_first -> current ++;
|
||
|
a_rev = arc_rev_block_first -> current ++;
|
||
|
|
||
|
a_rev -> sister = (arc_forward *) from;
|
||
|
a_for -> shift = (PTR_CAST) to;
|
||
|
a_for -> r_cap = cap;
|
||
|
a_for -> r_rev_cap = rev_cap;
|
||
|
|
||
|
((node *)from) -> first_out =
|
||
|
(arc_forward *) ((PTR_CAST)(((node *)from) -> first_out) + 1);
|
||
|
((node *)to) -> first_in =
|
||
|
(arc_reverse *) ((PTR_CAST)(((node *)to) -> first_in) + 1);
|
||
|
}
|
||
|
|
||
|
void Graph::set_tweights(node_id i, captype cap_source, captype cap_sink)
|
||
|
{
|
||
|
flow += (cap_source < cap_sink) ? cap_source : cap_sink;
|
||
|
((node*)i) -> tr_cap = cap_source - cap_sink;
|
||
|
}
|
||
|
|
||
|
void Graph::add_tweights(node_id i, captype cap_source, captype cap_sink)
|
||
|
{
|
||
|
register captype delta = ((node*)i) -> tr_cap;
|
||
|
if (delta > 0) cap_source += delta;
|
||
|
else cap_sink -= delta;
|
||
|
flow += (cap_source < cap_sink) ? cap_source : cap_sink;
|
||
|
((node*)i) -> tr_cap = cap_source - cap_sink;
|
||
|
}
|
||
|
|
||
|
/*
|
||
|
Converts arcs added by 'add_edge()' calls
|
||
|
to a forward star graph representation.
|
||
|
|
||
|
Linear time algorithm.
|
||
|
No or little additional memory is allocated
|
||
|
during this process
|
||
|
(it may be necessary to allocate additional
|
||
|
arc blocks, since arcs corresponding to the
|
||
|
same node must be contiguous, i.e. be in one
|
||
|
arc block.)
|
||
|
*/
|
||
|
void Graph::prepare_graph()
|
||
|
{
|
||
|
node *i;
|
||
|
arc_for_block *ab_for, *ab_for_first;
|
||
|
arc_rev_block *ab_rev, *ab_rev_first, *ab_rev_scan;
|
||
|
arc_forward *a_for;
|
||
|
arc_reverse *a_rev, *a_rev_scan, a_rev_tmp;
|
||
|
node_block *nb;
|
||
|
bool for_flag = false, rev_flag = false;
|
||
|
int k;
|
||
|
|
||
|
if (!arc_rev_block_first)
|
||
|
{
|
||
|
node_id from = add_node(), to = add_node();
|
||
|
add_edge(from, to, 1, 0);
|
||
|
}
|
||
|
|
||
|
/* FIRST STAGE */
|
||
|
a_rev_tmp.sister = NULL;
|
||
|
for (a_rev=arc_rev_block_first->current; a_rev<&arc_rev_block_first->arcs_rev[ARC_BLOCK_SIZE]; a_rev++)
|
||
|
{
|
||
|
a_rev -> sister = NULL;
|
||
|
}
|
||
|
|
||
|
ab_for = ab_for_first = arc_for_block_first;
|
||
|
ab_rev = ab_rev_first = ab_rev_scan = arc_rev_block_first;
|
||
|
a_for = &ab_for->arcs_for[0];
|
||
|
a_rev = a_rev_scan = &ab_rev->arcs_rev[0];
|
||
|
|
||
|
for (nb=node_block_first; nb; nb=nb->next)
|
||
|
{
|
||
|
for (i=&nb->nodes[0]; i<nb->current; i++)
|
||
|
{
|
||
|
/* outgoing arcs */
|
||
|
k = (PTR_CAST) i -> first_out;
|
||
|
if (a_for + k > &ab_for->arcs_for[ARC_BLOCK_SIZE])
|
||
|
{
|
||
|
if (k > ARC_BLOCK_SIZE) { if (error_function) (*error_function)("# of arcs per node exceeds block size!"); exit(1); }
|
||
|
if (for_flag) ab_for = NULL;
|
||
|
else { ab_for = ab_for -> next; ab_rev_scan = ab_rev_scan -> next; }
|
||
|
if (ab_for == NULL)
|
||
|
{
|
||
|
arc_for_block *next = arc_for_block_first;
|
||
|
char *ptr = new char[sizeof(arc_for_block)+1];
|
||
|
if (!ptr) { if (error_function) (*error_function)("Not enough memory!"); exit(1); }
|
||
|
if ((PTR_CAST)ptr & 1) arc_for_block_first = (arc_for_block *) (ptr + 1);
|
||
|
else arc_for_block_first = (arc_for_block *) ptr;
|
||
|
arc_for_block_first -> start = ptr;
|
||
|
arc_for_block_first -> current = & ( arc_for_block_first -> arcs_for[0] );
|
||
|
arc_for_block_first -> next = next;
|
||
|
ab_for = arc_for_block_first;
|
||
|
for_flag = true;
|
||
|
}
|
||
|
else a_rev_scan = &ab_rev_scan->arcs_rev[0];
|
||
|
a_for = &ab_for->arcs_for[0];
|
||
|
}
|
||
|
if (ab_rev_scan)
|
||
|
{
|
||
|
a_rev_scan += k;
|
||
|
i -> parent = (arc_forward *) a_rev_scan;
|
||
|
}
|
||
|
else i -> parent = (arc_forward *) &a_rev_tmp;
|
||
|
a_for += k;
|
||
|
i -> first_out = a_for;
|
||
|
ab_for -> last_node = i;
|
||
|
|
||
|
/* incoming arcs */
|
||
|
k = (PTR_CAST) i -> first_in;
|
||
|
if (a_rev + k > &ab_rev->arcs_rev[ARC_BLOCK_SIZE])
|
||
|
{
|
||
|
if (k > ARC_BLOCK_SIZE) { if (error_function) (*error_function)("# of arcs per node exceeds block size!"); exit(1); }
|
||
|
if (rev_flag) ab_rev = NULL;
|
||
|
else ab_rev = ab_rev -> next;
|
||
|
if (ab_rev == NULL)
|
||
|
{
|
||
|
arc_rev_block *next = arc_rev_block_first;
|
||
|
char *ptr = new char[sizeof(arc_rev_block)+1];
|
||
|
if (!ptr) { if (error_function) (*error_function)("Not enough memory!"); exit(1); }
|
||
|
if ((PTR_CAST)ptr & 1) arc_rev_block_first = (arc_rev_block *) (ptr + 1);
|
||
|
else arc_rev_block_first = (arc_rev_block *) ptr;
|
||
|
arc_rev_block_first -> start = ptr;
|
||
|
arc_rev_block_first -> current = & ( arc_rev_block_first -> arcs_rev[0] );
|
||
|
arc_rev_block_first -> next = next;
|
||
|
ab_rev = arc_rev_block_first;
|
||
|
rev_flag = true;
|
||
|
}
|
||
|
a_rev = &ab_rev->arcs_rev[0];
|
||
|
}
|
||
|
a_rev += k;
|
||
|
i -> first_in = a_rev;
|
||
|
ab_rev -> last_node = i;
|
||
|
}
|
||
|
/* i is the last node in block */
|
||
|
i -> first_out = a_for;
|
||
|
i -> first_in = a_rev;
|
||
|
}
|
||
|
|
||
|
/* SECOND STAGE */
|
||
|
for (ab_for=arc_for_block_first; ab_for; ab_for=ab_for->next)
|
||
|
{
|
||
|
ab_for -> current = ab_for -> last_node -> first_out;
|
||
|
}
|
||
|
|
||
|
for ( ab_for=ab_for_first, ab_rev=ab_rev_first;
|
||
|
ab_for;
|
||
|
ab_for=ab_for->next, ab_rev=ab_rev->next )
|
||
|
for ( a_for=&ab_for->arcs_for[0], a_rev=&ab_rev->arcs_rev[0];
|
||
|
a_for<&ab_for->arcs_for[ARC_BLOCK_SIZE];
|
||
|
a_for++, a_rev++ )
|
||
|
{
|
||
|
arc_forward *af;
|
||
|
arc_reverse *ar;
|
||
|
node *from;
|
||
|
int shift = 0, shift_new;
|
||
|
captype r_cap = 0, r_rev_cap = 0, r_cap_new, r_rev_cap_new;
|
||
|
|
||
|
if (!(from=(node *)(a_rev->sister))) continue;
|
||
|
af = a_for;
|
||
|
ar = a_rev;
|
||
|
|
||
|
do
|
||
|
{
|
||
|
ar -> sister = NULL;
|
||
|
|
||
|
shift_new = (int)(((char *)(af->shift)) - (char *)from);
|
||
|
r_cap_new = af -> r_cap;
|
||
|
r_rev_cap_new = af -> r_rev_cap;
|
||
|
if (shift)
|
||
|
{
|
||
|
af -> shift = shift;
|
||
|
af -> r_cap = r_cap;
|
||
|
af -> r_rev_cap = r_rev_cap;
|
||
|
}
|
||
|
shift = shift_new;
|
||
|
r_cap = r_cap_new;
|
||
|
r_rev_cap = r_rev_cap_new;
|
||
|
|
||
|
af = -- from -> first_out;
|
||
|
if ((arc_reverse *)(from->parent) != &a_rev_tmp)
|
||
|
{
|
||
|
from -> parent = (arc_forward *)(((arc_reverse *)(from -> parent)) - 1);
|
||
|
ar = (arc_reverse *)(from -> parent);
|
||
|
}
|
||
|
} while ((from=(node *)(ar->sister)));
|
||
|
|
||
|
af -> shift = shift;
|
||
|
af -> r_cap = r_cap;
|
||
|
af -> r_rev_cap = r_rev_cap;
|
||
|
}
|
||
|
|
||
|
for (ab_for=arc_for_block_first; ab_for; ab_for=ab_for->next)
|
||
|
{
|
||
|
i = ab_for -> last_node;
|
||
|
a_for = i -> first_out;
|
||
|
ab_for -> current -> shift = a_for -> shift;
|
||
|
ab_for -> current -> r_cap = a_for -> r_cap;
|
||
|
ab_for -> current -> r_rev_cap = a_for -> r_rev_cap;
|
||
|
a_for -> shift = (PTR_CAST) (ab_for -> current + 1);
|
||
|
i -> first_out = (arc_forward *) (((char *)a_for) - 1);
|
||
|
}
|
||
|
|
||
|
/* THIRD STAGE */
|
||
|
for (ab_rev=arc_rev_block_first; ab_rev; ab_rev=ab_rev->next)
|
||
|
{
|
||
|
ab_rev -> current = ab_rev -> last_node -> first_in;
|
||
|
}
|
||
|
|
||
|
for (nb=node_block_first; nb; nb=nb->next)
|
||
|
for (i=&nb->nodes[0]; i<nb->current; i++)
|
||
|
{
|
||
|
arc_forward *a_for_first, *a_for_last;
|
||
|
|
||
|
a_for_first = i -> first_out;
|
||
|
if (IS_ODD(a_for_first))
|
||
|
{
|
||
|
a_for_first = (arc_forward *) (((char *)a_for_first) + 1);
|
||
|
a_for_last = (arc_forward *) ((a_for_first ++) -> shift);
|
||
|
}
|
||
|
else a_for_last = (i + 1) -> first_out;
|
||
|
|
||
|
for (a_for=a_for_first; a_for<a_for_last; a_for++)
|
||
|
{
|
||
|
node *to = NEIGHBOR_NODE(i, a_for -> shift);
|
||
|
a_rev = -- to -> first_in;
|
||
|
a_rev -> sister = a_for;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
for (ab_rev=arc_rev_block_first; ab_rev; ab_rev=ab_rev->next)
|
||
|
{
|
||
|
i = ab_rev -> last_node;
|
||
|
a_rev = i -> first_in;
|
||
|
ab_rev -> current -> sister = a_rev -> sister;
|
||
|
a_rev -> sister = (arc_forward *) (ab_rev -> current + 1);
|
||
|
i -> first_in = (arc_reverse *) (((char *)a_rev) - 1);
|
||
|
}
|
||
|
}
|