# include <stdio.h>
# define MSP  100000
# define MM      101
# define MV     1000
# define MPT    2000
# define MPR    2000
# define MDIM   100
# define MARG   3000

int msp=MSP;
short prime,dim,*spv,**spm,nmat,ordim,npt,*fptr,*nfptr,**sp,**imsp,*endsp,
      mspace[MSP],*vec[MV],**mat[MM],pinv[MPR],*pptr[MM],*spptr[MPT+1],
      mm=MM,mv=MV,mpt=MPT,mpr=MPR,mdim=MDIM,marg=MARG;
char   orvec;
FILE *fopen(),*ip,*op;

main(argc,argv)  int argc;  char *argv[];
{ short nm,nv,i,j,pt,perm,*p1,*p2,*q1,arg;
  char inf[80],outf[80],err; int x;
/* Defaults: inf=gpname.inmat  outf=gpname.inperm  */
  arg=1; err=0;
  if (argc<=arg) { err=1; goto error;}
  strcpy(inf,argv[1]); strcat(inf,"."); strcpy(outf,inf);
  arg++; if (argc<=arg) strcat(inf,"inmat"); else strcat(inf,argv[arg]);
  arg++; if (argc<=arg) strcat(outf,"inperm"); else strcat(outf,argv[arg]);
  if ((ip=fopen(inf,"r"))==0)
  { fprintf(stderr,"Cannot open %s.\n",inf); exit(1); }
  fscanf(ip,"%hd%hd%hd",&prime,&dim,&nmat);
  if (prime>mpr) {fprintf(stderr,"prime too big. Increase MPR.\n"); exit(1);}
  if (dim>mdim) {fprintf(stderr,"dim too big. Increase MDIM.\n"); exit(1);}
  if (nmat>mm) {fprintf(stderr,"Too many mats. Increase MM.\n"); exit(1); }
  setpinv();
  nm=nmat+1; nv=(nm+2)*dim;
  if (nv>=mv) {fprintf(stderr,"Too many vectors. Increase MV.\n"); exit(1);}
  x=(nv+1)*dim;
  if (x>msp-marg) {fprintf(stderr,"Out of space. Increase MSP.\n"); exit(1);}
/* Set matrix pointers as in mcp.c */
  for (i=0;i<=nv;i++) vec[i]=mspace-1+i*dim;
  for (i=0;i<=nmat;i++) { mat[i]=vec-1+i*dim; if (i>0) readmat(mat[i]); }
  fclose(ip);
  endsp=mspace+msp-marg;
  spm=mat[0]; spv=spm[1]; sp=vec-1+nm*dim; imsp=sp+dim; fptr=vec[nv];
  for (i=1;i<=nmat;i++) {pptr[i]=fptr; fptr+=MPT; }
  if (fptr>=endsp) {fprintf(stderr,"Out of space. Increase MSP.\n"); exit(1);}
reenter:
  printf("Input dim of orbit space (-1 for orbit of vector):    ");
  scanf("%hd",&ordim);
  if (ordim< -1 || ordim==0 || ordim>dim)
  { printf("Inappropriate dimension.\n"); while (getchar()!='\n');goto reenter;}
  else if (ordim== -1) { ordim=1; orvec=1; } else orvec=0;
  printf("Input generating vectors of orbit space.\n");
  for (i=1;i<=ordim;i++)
  { p1=imsp[i]; for (j=1;j<=dim;j++) scanf("%hd",p1+j); }
  npt=1;
  if (orvec==0) normalize();
  encode(); spptr[1]=fptr; fptr=nfptr;
  if (fptr>=endsp) {fprintf(stderr,"Out of space. Increase MSP.\n"); exit(1);}

  for (pt=1;pt<=npt;pt++)
  { decode(pt);
    for (perm=1;perm<=nmat;perm++)
    { for (j=1;j<=ordim;j++) im(sp[j],imsp[j],mat[perm]);
      if (orvec==0) normalize(); encode();
      for (i=1;i<=npt;i++)
      { p1=fptr; p2=nfptr; q1=spptr[i]+1;
        while (++p1<=p2) { if (*p1!= *q1) break; q1++; }
        if (p1>p2) break;
      }
      pptr[perm][pt]=i;
      if (i>npt)
      { npt++; if (npt>mpt) {fprintf(stderr,"Too many points.\n"); exit(1); }
        spptr[npt]=fptr; fptr=nfptr;
        if (fptr>=endsp)
        {fprintf(stderr,"Out of space. Increase MSP.\n"); exit(1);}
if (npt%10==0) printf("npt=%d.\n",npt);
      }
    }
  }
  op=fopen(outf,"w"); fprintf(op,"%4d%4d%4d%4d\n",npt,nmat,0,0);
  for (i=1;i<=nmat;i++)
  if (npt>=1000)
  { for (j=1;j<=npt;j++) fprintf(op,"%5d",pptr[i][j]); fprintf(op,"\n"); }
  else
  { for (j=1;j<=npt;j++) fprintf(op,"%4d",pptr[i][j]); fprintf(op,"\n"); }
error:
  if (err)
  { fprintf(stderr,"Usage:    matperm gpname [inf] [outf]\n");
    exit(1);
  }
  exit(0);
}

encode()
{ short i,*p1,*p2,*q;  char c;
  nfptr=fptr;
  for (i=1;i<=ordim;i++)
  { c=orvec; p1=imsp[i]; p2=p1+dim; q=p1;
    while (++q<=p2) if (*q!=0)
    if (c==0) { c=1; *(++nfptr)=q-p1;}
    else {*(++nfptr)=q-p1; *(++nfptr)= *q; }
    *(++nfptr)=0;
  }
}

decode(n) short n;
{ short i,*p1,*p2,*ptr,*q;  char  c;
  ptr=spptr[n];
  for (i=1;i<=ordim;i++)
  { c=orvec; p1=sp[i]; p2=p1+dim; q=p1; while (++q<=p2) *q=0;
    while (*(++ptr)!=0)
    if (c==0) {p1[*ptr]=1; c=1;} else {p1[*ptr]= *(ptr+1); ptr++; }
  }
}

normalize()
{ short rst,i,j,k,fac,*p1,*p2,*q1;
  int n;
  rst=1;
  for (i=1;i<=dim;i++) for (j=rst;j<=ordim;j++) if (imsp[j][i] !=0)
  { p1=imsp[j]; if (j>rst) {imsp[j]=imsp[rst]; imsp[rst]=p1;}
    fac=pinv[p1[i]]; p2=p1+dim+1;
    while (--p2>p1) {n= *p2*fac; n%=prime; *p2=n; }
    for (k=1;k<=ordim;k++)
    { if (imsp[k][i]==0 || k==rst) continue;
      fac=prime-imsp[k][i]; p2=p1+dim+1; q1=imsp[k]+dim;
      while (--p2>p1) { n= *q1+fac* *p2; n%=prime; *q1=n;  q1--; }
    }
    if (rst==ordim) return(0);
    rst++; break;
  }
}

setpinv()
{ int i,j;
  for (i=0;i<prime;i++) pinv[i]=0;
  for (i=1;i<prime;i++) if (pinv[i]==0) for (j=1;j<prime;j++)
  if (i*j % prime ==1) { pinv[i]=j; pinv[j]=i; break; }
}
