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germ1.c
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germ1.c
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/* An implementation of the Weisfeiler-Leman graph stabilization procedure
see http://arxiv.org/abs/1002.1921 and references therein for more info.
Complete sources can be found at http://www.ntu.edu.sg/home/dima/software.htm
Copyright (C) 1989-2010 Luitpold Babel, Dmitrii V. Pasechnik, and others
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, see <http://www.gnu.org/licenses/>.
Authors can be contacted at
e-mail: Luitpold Babel <luitpold.babel@unibw.de>
e-mail: Dmitrii Pasechnik <dimpase@gmail.com> */
#include <stdio.h>
#include <stdlib.h>
#define vm 150
#define vm2 vm*vm
#define vm3 vm*vm2
#define SCAN(r, s) while( r ) { xp=bucket + s ;\
if (xp->last==0) xp->first=p;\
else xp->last->next=p; xp->last=p;\
p=p->next;}
#define SORT(r, s) xp=bucket; while(xp->last==0) xp++; p=xp->first; yp=xp;\
while(xp<bucket+ r ) {\
if(xp->last) { yp->last->next=xp->first;\
q=xp->first;\
while(q!=xp->last) { j=q->c; q->c=col;\
col+=(j==q->next->c)?0:1; q=q->next;}\
q->c=col; s ; yp=xp;}; xp++;}
#define PICK if(pm2->next) {\
if(pm2->prev) { pm2->prev->next=pm2->next;\
pm2->next->prev=pm2->prev;\
if((ewc+pm2->a)->point==pm2) (ewc+pm2->a)->point=pm2->next;}\
else { pm1=pm1->next; pm1->prev=0;\
(ewc+pm2->a)->point=pm2->next;};}\
else { if(pm2->prev) pm2->prev->next=0; else pm1=0;}
#define COLOR(r, s) q=xp->first; while(q!=xp->last) {\
j=q-> r ; q-> r =col; col+=(j==q->next-> r )?0:1;\
q=q->next;}; q-> r = s ;
#define FARBE(r) while(q!= r ) { q->a=col; ewc[col].m++;\
if(q->c!=q->next->c) { col++; ewc[col].point=q->next;\
ewc[col].m=0;}; q=q->next;};
FILE *f;
struct triangle{ struct multiset *ij, *jk, *ik;
struct triangle *next; int l, c;};
struct multiset{ int c, a, l;
struct triangle *joey; struct multiset *next, *prev;};
struct bucket_triangle{ struct triangle *first, *last;};
struct bucket_multiset{ struct multiset *first, *last;};
struct color_class{ int m;
struct multiset *point;}ewc[vm2];
int n, maxcolor, newcolor;
int max[vm];
struct triangle *
sort_triangles(struct triangle *p) {
struct triangle *q;
static struct bucket_triangle bucket[vm],*xp, *yp;
int i, j, col, *pc;
for(i=0; i<4; i++) { for(xp=bucket; xp<bucket+n; xp++) xp->last=0;
switch(i) {
case 0: SCAN(p, (p->jk->a)/n);
case 1: SCAN(p, (p->jk->a)%n);
case 2: SCAN(p, (p->ij->a)/n);
case 3: SCAN(p, (p->ij->a)%n);};
col=0; SORT(n, col++); yp->last->next=0;};
q=p;
while(q) { q->l=q->ik->l++; q=q->next;};
for(xp=bucket; xp<bucket+n; xp++) xp->last=0;
SCAN(p, p->l); pc=max; col=0;
SORT(n, *(pc++)=col;col=0); yp->last->next=0; return(p);
}
struct multiset *
sort_multisets(struct multiset *p, struct multiset *px) {
static struct bucket_multiset bucket[vm2],*xp, *yp;
int *jp, col, j, i, may, x, hi;
struct multiset *zp, *q, *mp;
struct triangle *pt;
zp=p; while(zp) { zp->c=0; zp=zp->next;};
for(jp=max+n-1; jp>=max; jp--) {
for(xp=bucket; xp<=bucket+*jp; xp++) xp->last=0;
SCAN(p && p->l>(jp-max), p->joey->c; p->joey->c=0);
zp=p; col=1; yp=bucket; p=yp->first;
for(xp=bucket; xp<bucket+*jp; xp++) { yp++; xp->last->next=yp->first;
COLOR(c, col++);}; xp=yp; COLOR(c, col);
yp->last->next=zp; zp=p;
while(zp && zp->l>(jp-max)) { pt=zp->joey;
zp->joey=zp->joey->next; free(pt); zp=zp->next;};};
newcolor=maxcolor; zp=p;
while(zp) {zp->joey=0; zp->l=0; zp=zp->next;};
for(i=0; i<2; i++) {
for(xp=bucket; xp<bucket+n; xp++) xp->last=0;
switch(i) {
case 0: SCAN(p, (p->a)%n);
case 1: SCAN(p, (p->a)/n);};
col=0; xp=bucket; while(xp->last==0) xp++; p=xp->first; yp=xp;
while(xp<bucket+n) {
if(xp->last) { yp->last->next=xp->first;
COLOR(l, col++); yp=xp;}; xp++;}; yp->last->next=0;};
hi=col;
for(xp=bucket; xp<bucket+hi; xp++) xp->last=0;
SCAN(p, p->l; p->l=0); p=bucket->first; yp=bucket;
for(xp=bucket; xp<bucket+hi-1; xp++) { yp++; xp->last->next=yp->first;};
yp->last->next=px; zp=bucket->first; zp->prev=0;
while(zp->next!=px) { zp->next->prev=zp; zp=zp->next;};
if(px) px->prev=zp;
for(xp=bucket; xp<bucket+hi; xp++) {
q=xp->first; zp=q; mp=q; i=1; j=1; may=1;
while(q!=xp->last) {
if(q->c<q->next->c) { if(j>may) { may=j; mp=zp;};
zp=q->next; j=0;}; i++; j++; q=q->next;};
if(j>may) { may=j; mp=zp;}; x=ewc[xp->first->a].m-i;
if(x<may) { ewc[xp->first->a].m = may;
if(x) { newcolor++; zp=ewc[xp->first->a].point;
ewc[newcolor].point=zp; ewc[newcolor].m=x;
for(j=0; j<x; j++) { zp->a=newcolor; zp=zp->next;};};
ewc[xp->first->a].point=mp; col=newcolor+1;
q=xp->first; ewc[col].point=q; ewc[col].m=0; FARBE(mp);
for(j=1; j<may; j++) q=q->next;
if(q!=xp->last) {q=q->next; ewc[col].point=q; FARBE(xp->last);
ewc[col].m++; newcolor=col; q->a=col++;};}
else { col=newcolor+1; q=xp->first; ewc[col].point=q; ewc[col].m=0;
FARBE(xp->last); ewc[col].m++; newcolor=col; q->a=col++;};
newcolor=col-1;}; return(p);
}
struct multiset *
multisets(struct triangle *pt1, struct multiset *pm1) {
struct multiset *p, *pm2;
struct triangle *pt2;
static struct bucket_multiset bucket[vm], *xp, *yp;
int i, j;
p=pt1->ik; pt2=pt1->next; pm2=pt1->ik; PICK;
pm2->next=0; p=pm2; pm2->joey=pt1; pt1=pt2;
while(pt1) { pt2=pt1->next; pm2=pt1->ik;
if(pm2->joey) pt1->next=pm2->joey;
else { PICK; pm2->next=p; p=pm2;};
pm2->joey=pt1; pt1=pt2;};
for(xp=bucket; xp<bucket+n; xp++) xp->last=0;
SCAN(p, (p->l)-1); xp=bucket+n-1; while(xp->last==0) xp--;
p=xp->first; yp=xp;
while(xp>=bucket) {
if(xp->last) { yp->last->next=xp->first; yp=xp;}; xp--;};
yp->last->next=0; return(sort_multisets(p, pm1));
}
struct multiset *
presort(struct multiset *p) {
static struct bucket_multiset bucket[vm], *xp, *yp;
struct color_class *pc;
for(xp=bucket; xp<bucket+newcolor+1; xp++) xp->last=0;
SCAN(p, p->a; ewc[p->a].m++;);
p=bucket->first; pc=ewc; yp=bucket;
for(xp=bucket; xp<bucket+newcolor; xp++) {
yp++; (xp->last)->next=yp->first; (pc++)->point=xp->first;};
(yp->last)->next=0; pc->point=yp->first;
return(p);
}
struct triangle *
triangles(struct multiset S[vm][vm]) {
struct triangle help, *pt; struct color_class *pc; struct multiset *pm;
int i, j, x, y, v;
pt=&help;
for(pc=&ewc[maxcolor+1]; pc<=&ewc[newcolor]; pc++) {
v=(pc-ewc); pm=pc->point;
for(i=0; i<pc->m; i++) { x=(pm-&S[0][0])/vm; y=(pm-&S[0][0])%vm;
for(j=0; j<n; j++) { if((pt->next=(struct triangle *)
malloc(sizeof(struct triangle)))==0) return(0); pt=pt->next;
pt->ik=pm; pt->ij=&S[x][j]; pt->jk=&S[j][y]; pt->c=1;};
for(j=0; j<n; j++) {
if(S[j][y].a<=maxcolor) {
if(S[j][x].a<v || (S[j][x].a==v && (&S[j][x]-pm)>0)) {
if((pt->next=(struct triangle *)
malloc(sizeof(struct triangle)))==0) return(0); pt=pt->next;
pt->ik=&S[j][y]; pt->ij=&S[j][x]; pt->jk=pm; pt->c=1;};};};
for(j=0; j<n; j++) {
if(S[x][j].a<=maxcolor) {
if(S[y][j].a<v || (S[y][j].a==v && (&S[y][j]-pm)>0)) {
if((pt->next=(struct triangle *)
malloc(sizeof(struct triangle)))==0) return(0); pt=pt->next;
pt->ik=&S[x][j]; pt->ij=pm; pt->jk=&S[y][j]; pt->c=1;};};};
pm=pm->next;};};
pt->next=0; return(help.next);
}
void main(int narg, char *arg[10]){
long cpu;
int i, j/*, l, u*/;
struct color_class *pc;
struct multiset *pm1, *pm2, S[vm][vm];
struct triangle *pt;
f=fopen(arg[1],"r");
if (f==NULL) { printf("\n file does not exist\n"); exit(0);}
fscanf (f,"%d%d",&newcolor,&n); newcolor--;
for(i=0; i<n; ++i) for(j=0; j<n; ++j) { fscanf(f,"%d",&S[i][j].a);
if(S[i][j].a<0 || S[i][j].a>newcolor)
{ printf("please check your input!\n"); return;};
S[i][j].joey=0; S[i][j].l=0; S[i][j].c=0;};
for(pc=ewc; pc<ewc+n*n; pc++) pc->m=0;
for(i=0; i<n; ++i) ewc[S[i][i].a].m+=(ewc[S[i][i].a].m)?0:1;
for(i=0; i<n; ++i) for(j=i+1; j<n; ++j) {
if(ewc[S[i][j].a].m==1) { printf("please check your input!\n"); return;}
else ewc[S[i][j].a].m=2;
if(ewc[S[j][i].a].m==1) { printf("please check your input!\n"); return;}
else ewc[S[j][i].a].m=2;};
for(pc=ewc; pc<=ewc+newcolor; pc++) {
if(pc->m==0) { printf("please check your input!\n"); return;}
else pc->m=0;};
pm1=0;
for(i=n-1; i>=0; i--) for(j=n-1; j>=0; j--){S[i][j].next=pm1; pm1=&S[i][j];};
pm1=presort(&S[0][0]);
pm2=pm1; pm1->prev=0;
while(pm1->next) {(pm1->next)->prev=pm1; pm1=pm1->next;};
maxcolor=0; printf("\nnumber of colors: %6d",newcolor+1);
cpu=clock()/1000; i=0;
while(newcolor>maxcolor) { i++;
if((pt=triangles(S))==0) { printf("\nspaceproblems!\n"); newcolor=maxcolor;}
else{ maxcolor=newcolor;
pt=sort_triangles(pt);
pm1=multisets(pt, pm2); pm2=pm1; printf("\b\b\b\b\b\b%6d",newcolor+1);
fflush(stdout);};};
cpu=clock()/1000-cpu;
for(pc=ewc; pc<=ewc+maxcolor; pc++) pc->m=-1; j=0;
for(i=0; i<n; ++i) { if(ewc[S[i][i].a].m<0) ewc[S[i][i].a].m=j++;};
printf("\n\nnumber of cells: %6d",j);
for(i=0; i<=maxcolor; ++i) if(ewc[i].m<0) ewc[i].m=j++;
/* printf("\n%ld msec",cpu); */
printf("\n\nadjacency matrix of the cellular algebra:\n\n");
for(i=0; i<n; ++i) { for(j=0; j<n; ++j) { S[i][j].a=ewc[S[i][j].a].m;
if(S[i][j].a <10) printf(" %d ",S[i][j].a);
else {if(S[i][j].a <100) printf(" %d ",S[i][j].a);
else printf("%d ",S[i][j].a);};} printf("\n");};
}