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ugraph.h
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ugraph.h
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/*
* File: ugraph.h
* - implementation of datatype undirected graph
* (see report for short description).
* This implementation follows the lines of the nice
* package LEDA (Library of Efficient Datatypes
* and Algorithms) , which is implemented in C++
* (anonymous ftp on ftp.cs.uni-sb.de in directory
* /pub/LEDA files INFO and LEDA-<version>.tar.Z ).
* Here we only have to write G_new_edge(u,v) when
* using the equivalent to LEDA's G.new_edge(u,v).
* The price to be paid for the flavour of classes in
* ANSI-C is the use of (really) big #define's
* (~ 860 lines) and the non-existence of a variable
* for a graph, which forces the graph to be global
* (UGRAPH(G) declares ugraph G global for the whole file).
* The only differences to the datatype ugraph in LEDA
* are the use of datatype "vertex" instead of the LEDA
* datatype "node" and the use of
* "forall_incident_edges(e,v,G)" instead of LEDA's
* "forall_adj_edges(e,v)".
* Additional features in this implementation are the
* removal/reinsertion of vertices and edges from/into
* the graph and the fixing of some bugs of LEDA methods.
* This implementation was checked by Objectcenter 2.0
* under SunOs 4.1.3; the detected errors were removed
* and therefore this implementation should work fine.
*
* Author: Hermann Stamm-Wilbrandt
* Institut fuer Informatik III
* Roemerstr. 164
* Bonn University
* D-53117 Bonn
* Germany
* email: hermann@holmium.informatik.uni-bonn.de
* phone: 0228-550-260 internal: x260 or x28, Fax: 0228-550-382
*
* For my safety:
*
* 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.
*/
#ifndef def_ugraph_h
#include "ugraph.def"
#define UGRAPH(N) \
UGRAPH1(N) \
UGRAPH1a(N) \
UGRAPH2(N) \
UGRAPH3(N) \
#define UGRAPH1(N) \
\
num _(N,_vertices),_(N,_edges); \
num _(N,__max_vertices),_(N,__max_edges); \
num _(N,__vertices_sofar),_(N,__edges_sofar); \
\
array_of_vertex _(N,__source); \
array_of_vertex _(N,__target); \
\
array_of_edge _(N,_Ssucc); \
array_of_edge _(N,_Spred); \
\
array_of_edge _(N,_Tsucc); \
array_of_edge _(N,_Tpred); \
\
array_of_edge _(N,_Esucc); \
array_of_edge _(N,_Epred); \
\
array_of_edge _(N,_first); \
array_of_edge _(N,_last); \
\
\
array_of_vertex _(N,_Vsucc); \
array_of_vertex _(N,_Vpred); \
\
array_of_edge _(N,_it); \
\
array_of_num _(N,__degree); \
\
vertex _(N,_first_vertex)(void); \
vertex _(N,_succ_vertex)(vertex v); \
edge _(N,_first_incident_edge)(vertex v); \
edge _(N,_incident_succ)(edge e, vertex v); \
vertex _(N,_first_edge)(void); \
vertex _(N,_succ_edge)(edge e); \
\
\
edge_array_of_double _(N,_new_edge_array_of_double)() \
{ \
return new_array_of_double(_(N,__max_edges)+1); \
} \
\
void _(N,_delete_edge_array_of_double)(edge_array_of_double A) \
{ \
delete_array_of_double(A); \
} \
\
\
edge_array _(N,_new_edge_array)() \
{ \
return new_array(_(N,__max_edges)+1); \
} \
\
void _(N,_delete_edge_array)(edge_array A) { delete_array(A); } \
\
vertex_array_of_double _(N,_new_vertex_array_of_double)() \
{ \
return new_array_of_double(_(N,__max_vertices)+1); \
} \
\
void _(N,_delete_vertex_array_of_double)(vertex_array_of_double A) \
{ \
delete_array_of_double(A); \
} \
\
vertex_array _(N,_new_vertex_array)() \
{ \
return new_array(_(N,__max_vertices)+1); \
} \
\
void _(N,_delete_vertex_array)(vertex_array A) \
{ \
delete_array(A); \
} \
\
void _(N,_init_vertex_array)(vertex_array A, num x) \
{ \
vertex v; \
forall_vertices(v,N) A[v] = x; \
} \
\
void _(N,_init_edge_array)(edge_array A, num x) \
{ \
edge e; \
forall_edges(e,N) A[e] = x; \
} \
#define UGRAPH1y(N) \
\
void _(N,_init_edge_array_by_function)(edge_array A, num (*f)(edge,...),...)\
{ \
} \
\
/*
#define UGRAPH1x(N) \
\
void _(N,_init_edge_array_by_function)(edge_array A, num (*f)(edge,...),...)\
{ \
va_list ap; \
edge e; \
\
va_start(ap,f); \
\
{ \
num arg1 = va_arg(ap,num); \
\
if (arg1!=EOAL) \
{ \
num arg2 = va_arg(ap,num); \
\
if (arg2!=EOAL) \
{ \
num arg3 = va_arg(ap,num); \
\
if (arg3!=EOAL) \
{ \
err_handler(301,"at most 2 optional arguments supported"); \
} \
else \
forall_edges(e,N) A[e] = f(e,arg1,arg2); \
} \
else \
forall_edges(e,N) A[e] = f(e,arg1); \
} \
else \
forall_edges(e,N) A[e] = f(e); \
} \
\
va_end(ap); \
} \
\
*/
#define UGRAPH1a(N) \
\
\
num _(N,_vertices_sofar)() { return _(N,__vertices_sofar); } \
num _(N,_vertices_max)() { return _(N,__max_vertices); } \
\
num _(N,_edges_sofar)() { return _(N,__edges_sofar); } \
num _(N,_edges_max)() { return _(N,__max_edges); } \
\
void _(N,_resize_copy)(num **p, int n, int k) \
{ \
num *q = new_array(n+1); \
/*int i; \
for(i=0; i<=k; i++) q[i]=(*p)[i]; */ \
memcpy((char*) q, (char*) (*p),(k+1)*sizeof(num)); \
delete_array(*p); \
(*p)=q; \
} \
\
void _(N,_resize)(num n, num m) \
{ \
if ((n<_(N,__vertices_sofar)) || (m<_(N,__edges_sofar))) \
err_handler(33,"ilegal resize"); \
\
_(N,__max_vertices)=n; \
_(N,__max_edges)=m; \
\
_(N,_resize_copy)(&_(N,__source),m,_(N,__edges_sofar)); \
_(N,_resize_copy)(&_(N,__target),m,_(N,__edges_sofar)); \
_(N,_resize_copy)(&_(N,_Ssucc) ,m,_(N,__edges_sofar)); \
_(N,_resize_copy)(&_(N,_Spred) ,m,_(N,__edges_sofar)); \
_(N,_resize_copy)(&_(N,_Tsucc) ,m,_(N,__edges_sofar)); \
_(N,_resize_copy)(&_(N,_Tpred) ,m,_(N,__edges_sofar)); \
_(N,_resize_copy)(&_(N,_Esucc) ,m,_(N,__edges_sofar)); \
_(N,_resize_copy)(&_(N,_Epred) ,m,_(N,__edges_sofar)); \
\
_(N,_resize_copy)(&_(N,_Vsucc) ,n,_(N,__vertices_sofar)); \
_(N,_resize_copy)(&_(N,_Vpred) ,n,_(N,__vertices_sofar)); \
_(N,_resize_copy)(&_(N,__degree),n,_(N,__vertices_sofar)); \
_(N,_resize_copy)(&_(N,_first) ,n,_(N,__vertices_sofar)); \
_(N,_resize_copy)(&_(N,_last) ,n,_(N,__vertices_sofar)); \
_(N,_resize_copy)(&_(N,_it) ,n,_(N,__vertices_sofar)); \
} \
\
void _(N,_compress_vertices)(void (*CV)(vertex,vertex)) \
{ \
int i,j; \
vertex_array P; \
vertex v; \
edge e; \
\
P = _(N,_new_vertex_array)(); \
\
for(i=1; i<=_(N,__vertices_sofar); i++) P[i]=false; \
forall_vertices(v,N) P[v]=true; \
\
i=1; j=_(N,__vertices_sofar); \
\
do \
{ \
while ((i<j) && (P[i])) i++; \
while ((i<j) && (! P[j])) j--; \
if (i<j) \
{ \
_(N,_Vpred)[i] = _(N,_Vpred)[j]; \
_(N,_Vsucc)[i] = _(N,_Vsucc)[j]; \
_(N,_Vsucc)[_(N,_Vpred)[i]] = i; \
_(N,_Vpred)[_(N,_Vsucc)[i]] = i; \
\
_(N,__degree)[i] = _(N,__degree)[j]; \
_(N,_first)[i] = _(N,_first)[j]; \
_(N,_last)[i] = _(N,_last)[j]; \
_(N,_it)[i] = _(N,_it)[j]; \
\
forall_incident_edges(e,j,N) \
if (_(N,__source)[e]==j) _(N,__source)[e]=i; \
else _(N,__target)[e]=i; \
\
if (CV!=NULL) CV(i,j); \
\
P[i]=true; P[j]=false; \
} \
} \
while (i<j); \
\
_(N,__vertices_sofar) = _(N,_vertices); \
_(N,_delete_vertex_array)(P); \
} \
\
void _(N,_compress_edges)(void (*CE)(edge,edge)) \
{ \
int i,j; \
edge_array P; \
edge e; \
\
P = _(N,_new_edge_array)(); \
\
for(i=1; i<=_(N,__edges_sofar); i++) P[i]=false; \
forall_edges(e,N) P[e]=true; \
\
i=1; j=_(N,__edges_sofar); \
\
do \
{ \
while ((i<j) && (P[i])) i++; \
while ((i<j) && (! P[j])) j--; \
if (i<j) \
{ \
_(N,__source)[i] = _(N,__source)[j]; \
_(N,__target)[i] = _(N,__target)[j]; \
\
_(N,_Spred)[i] = _(N,_Spred)[j]; \
_(N,_Ssucc)[i] = _(N,_Ssucc)[j]; \
if (_(N,_first)[_(N,__source)[j]]==j) \
_(N,_first)[_(N,__source)[i]]=i; \
if (_(N,_last)[_(N,__source)[j]]==j) \
_(N,_last)[_(N,__source)[i]]=i; \
*PRED_(_(N,_Ssucc)[i],_(N,__source)[i],N) = i; \
*SUCC_(_(N,_Spred)[i],_(N,__source)[i],N) = i; \
\
_(N,_Tpred)[i] = _(N,_Tpred)[j]; \
_(N,_Tsucc)[i] = _(N,_Tsucc)[j]; \
if (_(N,_first)[_(N,__target)[j]]==j) \
_(N,_first)[_(N,__target)[i]]=i; \
if (_(N,_last)[_(N,__target)[j]]==j) \
_(N,_last)[_(N,__target)[i]]=i; \
*PRED_(_(N,_Tsucc)[i],_(N,__target)[i],N) = i; \
*SUCC_(_(N,_Tpred)[i],_(N,__target)[i],N) = i; \
\
_(N,_Epred)[i] = _(N,_Epred)[j]; \
_(N,_Esucc)[i] = _(N,_Esucc)[j]; \
_(N,_Esucc)[_(N,_Epred)[i]] = i; \
_(N,_Epred)[_(N,_Esucc)[i]] = i; \
\
if (CE!=NULL) CE(i,j); \
\
P[i]=true; P[j]=false; \
} \
} \
while (i<j); \
\
_(N,__edges_sofar) = _(N,_edges); \
_(N,_delete_edge_array)(P); \
} \
\
void _(N,_compress)(void (*CV)(vertex,vertex),void (*CE)(edge,edge)) \
{ \
_(N,_compress_vertices)(CV); \
_(N,_compress_edges)(CE); \
} \
\
void _(N,_new)(num n, num m) \
{ \
_(N,_vertices)=0; \
_(N,_edges)=0; \
_(N,__max_vertices)=n; \
_(N,__max_edges)=m; \
_(N,__vertices_sofar)=0; \
_(N,__edges_sofar)=0; \
_(N,__source) = new_array(m+1); \
_(N,__target) = new_array(m+1); \
_(N,_Ssucc) = new_array(m+1); \
_(N,_Spred) = new_array(m+1); \
_(N,_Tsucc) = new_array(m+1); \
_(N,_Tpred) = new_array(m+1); \
_(N,_Esucc) = new_array(m+1); \
_(N,_Epred) = new_array(m+1); \
\
_(N,_Vsucc) = new_array(n+1); \
_(N,_Vpred) = new_array(n+1); \
_(N,__degree) = new_array(n+1); \
_(N,_first) = new_array(n+1); \
_(N,_last) = new_array(n+1); \
_(N,_it) = new_array(n+1); \
} \
\
void _(N,_delete)() \
{ \
delete_array(_(N,__source)); \
delete_array(_(N,__target)); \
delete_array(_(N,_Ssucc)); \
delete_array(_(N,_Spred)); \
delete_array(_(N,_Tsucc)); \
delete_array(_(N,_Tpred)); \
delete_array(_(N,_Vsucc)); \
delete_array(_(N,_Vpred)); \
delete_array(_(N,_Esucc)); \
delete_array(_(N,_Epred)); \
delete_array(_(N,__degree)); \
delete_array(_(N,_first)); \
delete_array(_(N,_last)); \
delete_array(_(N,_it)); \
} \
\
#define UGRAPH2(N) \
num _(N,_degree)(vertex v) { return ((v==0) ? 0 : _(N,__degree)[v]); }\
\
vertex _(N,_source)(edge e) { return ((e==0) ? 0 : _(N,__source)[e]); }\
edge _(N,_target)(edge e) { return ((e==0) ? 0 : _(N,__target)[e]); }\
\
vertex _(N,_opposite)(vertex v, edge e) \
{ \
if ((v=OPPOSITE(v,e,N))==0) \
err_handler(77,"v not in e during opposite call"); \
return v; \
} \
\
num _(N,_number_of_vertices)() { return _(N,_vertices); } \
num _(N,_number_of_edges)() { return _(N,_edges); } \
\
vertex _(N,_first_vertex)() { return _(N,_Vsucc)[0]; } \
vertex _(N,_last_vertex)() { return _(N,_Vpred)[0]; } \
vertex _(N,_succ_vertex)(vertex v) { return ((v==0) ? 0 : _(N,_Vsucc)[v]); } \
vertex _(N,_pred_vertex)(vertex v) { return ((v==0) ? 0 : _(N,_Vpred)[v]); } \
\
set_of_vertex _(N,_all_vertices)() { set_of_vertex S = new_set(_(N,_vertices));\
vertex v; \
forall_vertices(v,N) \
_append(v,S); \
return S; \
} \
\
edge _(N,_first_edge)() { return _(N,_Esucc)[0]; } \
edge _(N,_last_edge)() { return _(N,_Epred)[0]; } \
edge _(N,_succ_edge)(edge e) { return ((e==0) ? 0 : _(N,_Esucc)[e]); } \
edge _(N,_pred_edge)(edge e) { return ((e==0) ? 0 : _(N,_Epred)[e]); } \
\
set_of_edge _(N,_all_edges)() { set_of_edge S = new_set(_(N,_edges)); \
edge e; \
forall_edges(e,N) \
_append(e,S); \
return S; \
} \
\
edge _(N,_first_incident_edge)(vertex v) \
{ return ((v==0) ? 0 : _(N,_first)[v]); } \
\
edge _(N,_last_incident_edge)(vertex v) \
{ return ((v==0) ? 0 : _(N,_last)[v]); } \
\
edge _(N,_incident_succ)(edge e, vertex v) \
{ return ((e==0) ? 0 : SUCC(e,v,N)); } \
\
edge _(N,_incident_pred)(edge e, vertex v) \
{ return ((e==0) ? 0 : PRED(e,v,N)); } \
\
edge _(N,_cyclic_incident_succ)(edge e, vertex v) { return (e==0) ? 0 : \
(((e=_(N,_incident_succ)(e,v))==0) ? _(N,_first_incident_edge)(v) : e); } \
\
edge _(N,_cyclic_incident_pred)(edge e, vertex v) { return (e==0) ? 0 : \
(((e=_(N,_incident_pred)(e,v))==0) ? _(N,_last_incident_edge)(v) : e); } \
\
set_of_edge _(N,_incident_edges)(vertex v) \
{ \
set_of_edge S = new_set(_(N,__degree)[v]); \
edge e; \
forall_incident_edges(e,v,N) \
_append(e,S); \
return S; \
} \
\
set_of_vertex _(N,_adjacent_vertices)(vertex v) \
{ \
set_of_vertex S = new_set(_(N,__degree)[v]); \
edge e; \
forall_incident_edges(e,v,N) \
_append(_(N,_opposite)(v,e),S); \
return S; \
} \
\
vertex _(N,_choose_vertex)() { return _(N,_Vsucc)[0]; } \
edge _(N,_choose_edge)() { return _(N,_Esucc)[0]; } \
\
\
\
void _(N,_app_edges)(edge g) \
{ \
_(N,_Epred)[g]=_(N,_Epred)[0]; \
_(N,_Esucc)[g]=0; \
_(N,_Epred)[0]=g; \
_(N,_Esucc)[_(N,_Epred)[g]]=g; \
_(N,_edges)++; \
} \
\
void _(N,_ins_edge)(edge g, vertex u, edge e, bool diru) \
{ \
if (e==0) \
{ \
if (diru==after) \
{ \
if (_(N,_last)[u]==0) *SUCC_(_(N,_last)[u]=g,u,N)=0; \
else *SUCC_(*PRED_(_(N,_first)[u],u,N)=g,u,N)=_(N,_first)[u]; \
_(N,_first)[u]=g; \
*PRED_(g,u,N)=0; \
} \
else \
{ \
if (_(N,_first)[u]==0) *PRED_(_(N,_first)[u]=g,u,N)=0; \
else *PRED_(*SUCC_(_(N,_last)[u],u,N)=g,u,N)=_(N,_last)[u]; \
_(N,_last)[u]=g; \
*SUCC_(g,u,N)=0; \
} \
} \
else \
{ \
if (diru==after) \
{ \
if (SUCC(e,u,N)==0) *SUCC_(_(N,_last)[u]=g,u,N)=0; \
else *PRED_(*SUCC_(g,u,N)=SUCC(e,u,N),u,N)=g; \
*PRED_(g,u,N)=e; \
*SUCC_(e,u,N)=g; \
} \
else \
{ \
if (PRED(e,u,N)==0) *PRED_(_(N,_first)[u]=g,u,N)=0; \
else *SUCC_(*PRED_(g,u,N)=PRED(e,u,N),u,N)=g; \
*PRED_(e,u,N)=g; \
*SUCC_(g,u,N)=e; \
} \
} \
_(N,__degree)[u]++; \
} \
\
edge _(N,_old_edge2)(vertex u, vertex v, edge g, edge e, edge f, \
bool diru, bool dirv) \
{ \
if (u==v) \
{ \
err_handler(0,"self loop not inserted!"); \
return 0; \
} \
if (g>_(N,__max_edges)) \
err_handler(5,"too much edges created"); \
_(N,_app_edges)(g); \
_(N,__source)[g]=u; \
_(N,__target)[g]=v; \
_(N,_ins_edge)(g,u,e,diru); \
_(N,_ins_edge)(g,v,f,dirv); \
return g; \
} \
\
edge _(N,_new_edge2)(vertex u, vertex v, edge e, edge f, bool diru, bool dirv) \
{ \
edge g=++_(N,__edges_sofar); \
return _(N,_old_edge2)(u,v,g,e,f,diru,dirv); \
} \
\
edge _(N,_new_edge)(vertex u, vertex v) \
{ \
return _(N,_new_edge2)(u,v,_(N,_last)[u],_(N,_last)[v],after,after); \
} \
\
void _(N,_rem_edge)(edge e) \
{ \
_(N,_Epred)[_(N,_Esucc)[e]]=_(N,_Epred)[e]; \
_(N,_Esucc)[_(N,_Epred)[e]]=_(N,_Esucc)[e]; \
_(N,_edges)--; \
} \
\
void _(N,_remove_edge_)(edge e, vertex v) \
{ \
if (_(N,_first)[v]==e) \
{ \
if (_(N,_last)[v]==e) \
{ \
_(N,_first)[v]=_(N,_last)[v]=0; \
} \
else \
{ \
_(N,_first)[v]=SUCC(e,v,N); \
*PRED_(SUCC(e,v,N),v,N)=0; \
} \
} \
else \
{ \
if (_(N,_last)[v]==e) \
{ \
_(N,_last)[v]=PRED(e,v,N); \
*SUCC_(PRED(e,v,N),v,N)=0; \
} \
else \
{ \
*SUCC_(PRED(e,v,N),v,N)=SUCC(e,v,N); \
*PRED_(SUCC(e,v,N),v,N)=PRED(e,v,N); \
} \
} \
_(N,__degree)[v]--; \
} \
\
edge _(N,_remove_edge1)(edge e, vertex v) \
{ \
_(N,_remove_edge_)(e,v); \
_(N,_rem_edge)(e); \
return e; \
} \
\
edge _(N,_remove_edge)(edge e) \
{ \
_(N,_remove_edge_)(e,_(N,__source)[e]); \
_(N,_remove_edge_)(e,_(N,__target)[e]); \
_(N,_rem_edge)(e); \
return e; \
} \
\
void _(N,_delete_edge)(edge e) \
{ \
(void) _(N,_remove_edge)(e); \
_(N,_Esucc)[e]=0; \
_(N,_Epred)[e]=0; \
_(N,__source)[e]=0; \
_(N,__target)[e]=0; \
_(N,_Ssucc)[e]=0; \
_(N,_Spred)[e]=0; \
_(N,_Tsucc)[e]=0; \
_(N,_Tpred)[e]=0; \
} \
\
void _(N,_re_ins_edge)(edge e) { _(N,_Epred)[_(N,_Esucc)[e]]=e; \
_(N,_Esucc)[_(N,_Epred)[e]]=e; \
_(N,_edges)++; \
} \
\
void _(N,_old_edge_)(edge e, vertex v) \
{ \
if (SUCC(e,v,N)==0) \
{ \
if (PRED(e,v,N)==0) \
{ \
_(N,_first)[v]=_(N,_last)[v]=e; \
} \
else \
{ \
*SUCC_(_(N,_last)[v],v,N)=e; \
_(N,_last)[v]=e; \
} \
} \
else \
{ \
if (PRED(e,v,N)==0) \
{ \
*PRED_(_(N,_first)[v],v,N)=e; \
_(N,_first)[v]=e; \
} \
else \
{ \
*PRED_(SUCC(e,v,N),v,N)=e; \
*SUCC_(PRED(e,v,N),v,N)=e; \
} \
} \
_(N,__degree)[v]++; \
} \
\
void _(N,_old_edge1)(edge e, vertex v) \
{ \
_(N,_old_edge_)(e,v); \
_(N,_re_ins_edge)(e); \
} \
\
void _(N,_old_edge)(edge e) \
{ \
_(N,_old_edge_)(e,_(N,__source)[e]); \
_(N,_old_edge_)(e,_(N,__target)[e]); \
_(N,_re_ins_edge)(e); \
} \
\
void _(N,_app_vertices)(vertex g) \
{ \
_(N,_Vpred)[g]=_(N,_Vpred)[0]; \
_(N,_Vsucc)[g]=0; \
_(N,_Vpred)[0]=g; \
_(N,_Vsucc)[_(N,_Vpred)[g]]=g; \
_(N,_vertices)++; \
} \
\
vertex _(N,_new_vertex)() { vertex v=++_(N,__vertices_sofar); \
if (v>_(N,__max_vertices)) \
err_handler(5,"too much vertices created"); \
_(N,_app_vertices)(v); \
_(N,_first)[v]=_(N,_last)[v]=0; \
_(N,__degree)[v]=0; \
return v; \
} \
\
void _(N,_rem_vertex)(vertex v) \
{ \
_(N,_Vpred)[_(N,_Vsucc)[v]]=_(N,_Vpred)[v]; \
_(N,_Vsucc)[_(N,_Vpred)[v]]=_(N,_Vsucc)[v]; \
_(N,_vertices)--; \
} \
\
vertex _(N,_remove_vertex)(vertex v) \
{ \
set_of_edge S = _(N,_incident_edges)(v); \
edge e = 0; \
_forall(e,S) \
(void) _(N,_remove_edge1)(e,_(N,_opposite)(v,e)); \
delete_set(S); \
_(N,_rem_vertex)(v); \
return v; \
} \
\
void _(N,_delete_vertex)(vertex v) \
{ \
set_of_edge S = _(N,_incident_edges)(v); \
edge e=0; \
_forall(e,S) \
_(N,_delete_edge)(e); \
delete_set(S); \
_(N,_rem_vertex)(v); \
_(N,_Vsucc)[v]=0; \
_(N,_Vpred)[v]=0; \
_(N,_it)[v]=0; \
} \
\
void _(N,_ins_vertex)(vertex v) { _(N,_Vpred)[_(N,_Vsucc)[v]]=v; \
_(N,_Vsucc)[_(N,_Vpred)[v]]=v; \
_(N,_vertices)++; \
} \
\
void _(N,_old_vertex)(vertex v) \
{ \
set_of_edge S = _(N,_incident_edges)(v); \
edge e = 0; \
_forall(e,S) \
(void) _(N,_old_edge1)(e,_(N,_opposite)(v,e)); \
delete_set(S); \
_(N,_ins_vertex)(v); \
} \
\
void _(N,_Move_vertex)(vertex v, vertex w, bool dir) \
{ \
if ((dir==before) && (_(N,_Vpred)[w]!=v)) \
{ \
_(N,_Vpred)[_(N,_Vsucc)[v]]=_(N,_Vpred)[v]; \
_(N,_Vsucc)[_(N,_Vpred)[v]]=_(N,_Vsucc)[v]; \
_(N,_Vpred)[v]=_(N,_Vpred)[w]; \
_(N,_Vsucc)[v]=w; \
_(N,_Vsucc)[_(N,_Vpred)[w]]=v; \
_(N,_Vpred)[w]=v; \
} \
else if ((dir==after) && (_(N,_Vsucc)[w]!=v)) \
{ \
_(N,_Vpred)[_(N,_Vsucc)[v]]=_(N,_Vpred)[v]; \
_(N,_Vsucc)[_(N,_Vpred)[v]]=_(N,_Vsucc)[v]; \
_(N,_Vsucc)[v]=_(N,_Vsucc)[w]; \
_(N,_Vpred)[v]=w; \
_(N,_Vpred)[_(N,_Vsucc)[w]]=v; \
_(N,_Vsucc)[w]=v; \
} \
} \
\
void _(N,_Move_edge)(edge e, edge f, bool dir) \
{ \
if ((dir==before) && (_(N,_Epred)[f]!=e)) \
{ \
_(N,_Epred)[_(N,_Esucc)[e]]=_(N,_Epred)[e]; \
_(N,_Esucc)[_(N,_Epred)[e]]=_(N,_Esucc)[e]; \
_(N,_Epred)[e]=_(N,_Epred)[f]; \
_(N,_Esucc)[e]=f; \
_(N,_Esucc)[_(N,_Epred)[f]]=e; \
_(N,_Epred)[f]=e; \
} \
else if ((dir==after) && (_(N,_Esucc)[f]!=e)) \
{ \
_(N,_Epred)[_(N,_Esucc)[e]]=_(N,_Epred)[e]; \
_(N,_Esucc)[_(N,_Epred)[e]]=_(N,_Esucc)[e]; \
_(N,_Esucc)[e]=_(N,_Esucc)[f]; \
_(N,_Epred)[e]=f; \
_(N,_Epred)[_(N,_Esucc)[f]]=e; \
_(N,_Esucc)[f]=e; \
} \
} \
\
void _(N,_move_edge)(edge e, vertex v, edge f, bool dir) \
{ \
if (e!=f) \
{ \
if (_(N,_first)[v]==e) \
{ \
if (_(N,_last)[v]==e) \
{ \
_(N,_first)[v]=_(N,_last)[v]=0; \
} \
else \
{ \
_(N,_first)[v]=SUCC(e,v,N); \
*PRED_(SUCC(e,v,N),v,N)=0; \
} \
} \
else \
{ \
if (_(N,_last)[v]==e) \
{ \
_(N,_last)[v]=PRED(e,v,N); \
*SUCC_(PRED(e,v,N),v,N)=0; \
} \
else \
{ \
*SUCC_(PRED(e,v,N),v,N)=SUCC(e,v,N); \
*PRED_(SUCC(e,v,N),v,N)=PRED(e,v,N); \
} \
} \
\
if (f==0) \
{ \
if (dir==after) \
{ \
if (_(N,_last)[v]==0) *SUCC_(_(N,_last)[v]=e,v,N)=0; \
else *SUCC_(*PRED_(_(N,_first)[v],v,N)=e,v,N)=_(N,_first)[v]; \
_(N,_first)[v]=e; \
*PRED_(e,v,N)=0; \
} \
else \
{ \
if (_(N,_first)[v]==0) *PRED_(_(N,_first)[v]=e,v,N)=0; \
else *PRED_(*SUCC_(_(N,_last)[v],v,N)=e,v,N)=_(N,_last)[v]; \
_(N,_last)[v]=e; \
*SUCC_(e,v,N)=0; \
} \
} \
else \
{ \
if (dir==after) \
{ \
if (SUCC(f,v,N)==0) *SUCC_(_(N,_last)[v]=e,v,N)=0; \
else *PRED_(*SUCC_(e,v,N)=SUCC(f,v,N),v,N)=e; \
*PRED_(e,v,N)=f; \
*SUCC_(f,v,N)=e; \
} \
else \
{ \
if (PRED(f,v,N)==0) *PRED_(_(N,_first)[v]=e,v,N)=0; \
else *SUCC_(*PRED_(e,v,N)=PRED(f,v,N),v,N)=e; \
*PRED_(f,v,N)=e; \
*SUCC_(e,v,N)=f; \
} \
} \
} \
} \
#define UGRAPH3(N) \
void _(N,_bucket_sort_edges)(int a, int b, edge_array M) \
{ \
array_of_edge Esucc,Epred,bucket; \
int i; \
edge e,last; \
\
Esucc = new_array(_(N,__max_edges)+1); \
Epred = new_array(_(N,__max_edges)+1); \
\
bucket = new_array(b-a+1); \
\
for(i=0; i<=b-a; i++) bucket[i]=0; \
\
forall_edges(e,N) \
{ \
i = M[e] - a; \
if (bucket[i]==0) \
{ \
Esucc[e]=Epred[e]=e; \
bucket[i]=e; \
} \
else \
{ \
Esucc[e]=bucket[i]; \
Epred[e]=Epred[bucket[i]]; \
Esucc[Epred[e]]=e; \
Epred[Esucc[e]]=e; \
} \
} \
\
for(i=0; i<=b-a; i++) \
if (bucket[i]!=0) \
{ \
last = Epred[bucket[i]]; \
Epred[bucket[i]]=Epred[0]; \
Esucc[Epred[0]]=bucket[i]; \
Epred[0]=last; \
Esucc[last]=0; \
} \
\
delete_array(_(N,_Epred)); \
delete_array(_(N,_Esucc)); \
_(N,_Epred)=Epred; \
_(N,_Esucc)=Esucc; \
delete_array(bucket); \
} \
\
\
void _(N,_bucket_sort_vertices)(int a, int b, vertex_array M) \
{ \
array_of_vertex Vsucc,Vpred,bucket; \
int i; \
vertex v,last; \
\
Vsucc = new_array(_(N,__max_vertices)+1); \
Vpred = new_array(_(N,__max_vertices)+1); \
\
bucket = new_array(b-a+1); \
\
for(i=0; i<=b-a; i++) bucket[i]=0; \
\
forall_vertices(v,N) \
{ \
i = M[v] - a; \
if (bucket[i]==0) \
{ \
Vsucc[v]=Vpred[v]=v; \
bucket[i]=v; \
} \
else \
{ \
Vsucc[v]=bucket[i]; \
Vpred[v]=Vpred[bucket[i]]; \
Vsucc[Vpred[v]]=v; \
Vpred[Vsucc[v]]=v; \
} \
} \
\
for(i=0; i<=b-a; i++) \
if (bucket[i]!=0) \
{ \
last = Vpred[bucket[i]]; \
Vpred[bucket[i]]=Vpred[0]; \
Vsucc[Vpred[0]]=bucket[i]; \
Vpred[0]=last; \
Vsucc[last]=0; \
} \
\
delete_array(_(N,_Vpred)); \
delete_array(_(N,_Vsucc)); \
_(N,_Vpred)=Vpred; \
_(N,_Vsucc)=Vsucc; \
delete_array(bucket); \
} \
\
\
bool _(N,_SAME)(edge e, edge f) \
{ \
if ((e==0) || (f==0)) return false; \
\
return ( ( (_(N,__source)[e]==_(N,__source)[f]) \
&& (_(N,__target)[e]==_(N,__target)[f]) ) || \
( (_(N,__source)[e]==_(N,__target)[f]) \
&& (_(N,__target)[e]==_(N,__source)[f])) \
); \
} \
\
bool _(N,_simple)() \
{ \
edge e; \
edge_array M; \
\
/* redundant since self loops cannot be created */ \
forall_edges(e,N) \
if (_(N,__source)[e]==_(N,__target)[e]) \
return false; \
\
M = _(N,_new_edge_array)(); \
\
forall_edges(e,N) M[e] = MIN(_(N,__source)[e],_(N,__target)[e]); \
\
_(N,_bucket_sort_edges)(1,_(N,_vertices_sofar)(),M); \
\
forall_edges(e,N) M[e] = MAX(_(N,__source)[e],_(N,__target)[e]); \
\
_(N,_bucket_sort_edges)(1,_(N,_vertices_sofar)(),M); \
\
_(N,_delete_edge_array)(M); \
\
forall_edges(e,N) \
if ( _(N,_SAME)( e,_(N,_succ_edge(e)) ) ) \
return false; \
\
return true; \
} \
\
void _(N,_eliminate_parallel_edges_and_self_loops)() \
{ \
edge e; \
edge_array M; \
set_of_edge S; \
\
M = _(N,_new_edge_array)(); \
\
forall_edges(e,N) M[e] = MIN(_(N,__source)[e],_(N,__target)[e]); \
\
_(N,_bucket_sort_edges)(1,_(N,_vertices_sofar)(),M); \
\
forall_edges(e,N) M[e] = MAX(_(N,__source)[e],_(N,__target)[e]); \
\
_(N,_bucket_sort_edges)(1,_(N,_vertices_sofar)(),M); \
\
_(N,_delete_edge_array)(M); \
\
S = new_set(_(N,_edges)); \
\
forall_edges(e,N) \
if (( _(N,_SAME)( e,_(N,_succ_edge(e)) ) ) || \
(_(N,__source)[e]==_(N,__target)[e]) ) \
_append(e,S); \
\
_forall(e,S) \
_(N,_delete_edge)(e); \