/*     CalculiX - A 3-dimensional finite element program                   */
/*              Copyright (C) 1998-2007 Guido Dhondt                          */

/*     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(version 2);    */
/*                    */

/*     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., 675 Mass Ave, Cambridge, MA 02139, USA.         */

#ifdef ARPACK

#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <string.h>
#include "CalculiX.h"
#ifdef SPOOLES
   #include "spooles.h"
#endif
#ifdef SGI
   #include "sgi.h"
#endif
#ifdef TAUCS
   #include "tau.h"
#endif

void arpackcs(double *co, int *nk, int *kon, int *ipkon, char *lakon,
	     int *ne, 
	     int *nodeboun, int *ndirboun, double *xboun, int *nboun, 
	     int *ipompc, int *nodempc, double *coefmpc, char *labmpc,
             int *nmpc, 
	     int *nodeforc, int *ndirforc,double *xforc, int *nforc, 
	     int *nelemload, char *sideload, double *xload,
	     int *nload, 
	     double *ad, double *au, double *b, int *nactdof, 
	     int *icol, int *jq, int *irow, int *neq, int *nzl, 
	     int *nmethod, int *ikmpc, int *ilmpc, int *ikboun, 
	     int *ilboun,
	     double *elcon, int *nelcon, double *rhcon, int *nrhcon,
	     double *alcon, int *nalcon, double *alzero, int *ielmat,
	     int *ielorien, int *norien, double *orab, int *ntmat_,
	     double *t0, double *t1, double *t1old, 
	     int *ithermal,double *prestr, int *iprestr, 
	     double *vold,int *iperturb, double *sti, int *nzs,  
	     int *kode, double *adb, double *aub,int *mei, double *fei,
	     char *filab, double *eme,
             int *iexpl, double *plicon, int *nplicon, double *plkcon,
             int *nplkcon,
             double *xstate, int *npmat_, char *matname, int *mint_,
	     int *ics, double *cs, int *mpcend, int *ncmat_,
             int *nstate_, int *mcs, int *nkon, double *ener,
             char *jobnamec, char *output, char *set, int *nset, 
             int *istartset,
             int *iendset, int *ialset, int *nprint, char *prlab,
             char *prset, int *nener, int *isolver, double *trab, 
             int *inotr, int *ntrans, double *ttime, double *fmpc,
             char *cbody, int *ibody, double *xbody, int *nbody,
	     int *nevtot){

  /* calls the Arnoldi Package (ARPACK) for cyclic symmetry calculations */
  
  char bmat[2]="G", which[3]="LM", howmny[2]="A",*lakont=NULL,
      description[13]="            ",fneig[132]="";
  int *inum=NULL,k,ido,dz,iparam[11],ipntr[11],lworkl,idir,
    info,rvec=1,*select=NULL,lfin,j,lint,iout=1,nm,index,inode,id,i,idof,
    ielas,icmd,kk,l,nkt,icntrl,*kont=NULL,*ipkont=NULL,*inumt=NULL,
    *ielmatt=NULL,net,imag=1,icomplex,kk4,kk6,iinc=1,istep=1,nev,ncv,
    mxiter,lprev,ilength,ij,i1,i2,iel,ielset,node,indexe,nope,ml1,
    *inocs=NULL,*ielcs=NULL,jj,l1,l2,ngraph,is,jrow,*ipobody=NULL,
    *inotrt=NULL,symmetryflag=0,inputformat=0,inewton=0,ifreebody;
  int mass=1, stiffness=1, buckling=0, rhsi=0, intscheme=0,*ncocon=NULL,
      coriolis=0;
  double *stn=NULL,*v=NULL,*resid=NULL,*z=NULL,*workd=NULL,
    *workl=NULL,*aux=NULL,*d=NULL,sigma=1,*temp_array=NULL,*vini=NULL,
    *een=NULL,cam[2],*f=NULL,*fn=NULL,qa[2],*fext=NULL,*epn=NULL,*stiini=NULL,
    *xstateini=NULL,theta,pi,*coefmpcnew=NULL,*xstiff=NULL,
    *vt=NULL,*fnt=NULL,*stnt=NULL,*eent=NULL,*cot=NULL,t[3],ctl,stl,
    *t1t=NULL,freq,*stx=NULL,*enern=NULL,*enernt=NULL,*xstaten=NULL,
    *eei=NULL,*enerini=NULL,*cocon=NULL,*qfx=NULL,*qfn=NULL,*qfnt=NULL,
    tol,fmin,fmax,xreal,ximag,*cgr=NULL;
  FILE *f1;

  /* dummy arguments for the results call */

  double *veold=NULL,*accold=NULL,bet,gam,dtime,time;

  int *ipneigh=NULL,*neigh=NULL;

#ifdef SGI
  int token;
#endif

  pi=4.*atan(1.);

  /* copying the frequency parameters */

  nev=mei[0];
  ncv=mei[1];
  mxiter=mei[2];
  tol=fei[0];
  fmin=2*pi*fei[1];
  fmax=2*pi*fei[2];
  
  /* assigning the body forces to the elements */ 

  if(*nbody>0){
      ifreebody=*ne+1;
      ipobody=NNEW(int,2*ifreebody);
      for(k=1;k<=*nbody;k++){
	  FORTRAN(bodyforce,(cbody,ibody,ipobody,nbody,set,istartset,
			     iendset,ialset,&inewton,nset,&ifreebody,&k));
	  RENEW(ipobody,int,2*(*ne+ifreebody));
      }
      RENEW(ipobody,int,2*(ifreebody-1));
      if(inewton==1){
	  printf("*ERROR in arpackcs: generalized gravity loading is not allowed in frequency calculations");
      FORTRAN(stop,());
      }
  }

  /* determining the internal forces and the stiffness coefficients */

  f=NNEW(double,*neq);

  /* allocating a field for the stiffness matrix */

  xstiff=NNEW(double,27**mint_**ne);

  iout=-1;
  v=NNEW(double,4**nk);
  fn=NNEW(double,4**nk);
  stx=NNEW(double,6**mint_**ne);
  if(*iperturb==0){
     FORTRAN(results,(co,nk,kon,ipkon,lakon,ne,v,stn,inum,stx,
	       elcon,nelcon,rhcon,nrhcon,alcon,nalcon,alzero,ielmat,
	       ielorien,norien,orab,ntmat_,t0,t0,ithermal,
	       prestr,iprestr,filab,eme,een,iperturb,
	       f,fn,nactdof,&iout,qa,vold,b,nodeboun,
	       ndirboun,xboun,nboun,ipompc,
	       nodempc,coefmpc,labmpc,nmpc,nmethod,cam,neq,veold,accold,
	       &bet,&gam,&dtime,&time,ttime,plicon,nplicon,plkcon,nplkcon,
	       xstateini,xstiff,xstate,npmat_,epn,matname,mint_,&ielas,
               &icmd,ncmat_,nstate_,stiini,vini,ikboun,ilboun,ener,enern,
               sti,xstaten,eei,enerini,cocon,ncocon,set,nset,istartset,
               iendset,ialset,nprint,prlab,prset,qfx,qfn,trab,inotr,ntrans,
               fmpc,nelemload,nload));
  }else{
     FORTRAN(results,(co,nk,kon,ipkon,lakon,ne,v,stn,inum,stx,
	       elcon,nelcon,rhcon,nrhcon,alcon,nalcon,alzero,ielmat,
	       ielorien,norien,orab,ntmat_,t0,t1old,ithermal,
	       prestr,iprestr,filab,eme,een,iperturb,
	       f,fn,nactdof,&iout,qa,vold,b,nodeboun,
	       ndirboun,xboun,nboun,ipompc,
	       nodempc,coefmpc,labmpc,nmpc,nmethod,cam,neq,veold,accold,
	       &bet,&gam,&dtime,&time,ttime,plicon,nplicon,plkcon,nplkcon,
	       xstateini,xstiff,xstate,npmat_,epn,matname,mint_,&ielas,
               &icmd,ncmat_,nstate_,stiini,vini,ikboun,ilboun,ener,enern,
               sti,xstaten,eei,enerini,cocon,ncocon,set,nset,istartset,
               iendset,ialset,nprint,prlab,prset,qfx,qfn,trab,inotr,ntrans,
               fmpc,nelemload,nload));
  }
  free(f);free(v);free(fn);free(stx);
  iout=1;

  /* determining the maximum number of sectors to be plotted */

  ngraph=1;
  for(j=0;j<*mcs;j++){
    if(cs[17*j+4]>ngraph) ngraph=cs[17*j+4];
  }

  /* assigning nodes and elements to sectors */

  inocs=NNEW(int,*nk);
  ielcs=NNEW(int,*ne);
  ielset=cs[12];
  if((*mcs!=1)||(ielset!=0)){
    for(i=0;i<*nk;i++) inocs[i]=-1;
    for(i=0;i<*ne;i++) ielcs[i]=-1;
  }

  for(i=0;i<*mcs;i++){
    is=cs[17*i+4];
    if(is==1) continue;
    ielset=cs[17*i+12];
    if(ielset==0) continue;
    for(i1=istartset[ielset-1]-1;i1<iendset[ielset-1];i1++){
      if(ialset[i1]>0){
        iel=ialset[i1]-1;
        if(ipkon[iel]<0) continue;
        ielcs[iel]=i;
        indexe=ipkon[iel];
        if(strcmp1(&lakon[8*iel+3],"2")==0)nope=20;
        else if (strcmp1(&lakon[8*iel+3],"8")==0)nope=8;
        else if (strcmp1(&lakon[8*iel+3],"10")==0)nope=10;
        else if (strcmp1(&lakon[8*iel+3],"4")==0)nope=4;
        else if (strcmp1(&lakon[8*iel+3],"15")==0)nope=15;
        else {nope=6;}
        for(i2=0;i2<nope;++i2){
          node=kon[indexe+i2]-1;
          inocs[node]=i;
        }
      }
      else{
        iel=ialset[i1-2]-1;
        do{
          iel=iel-ialset[i1];
          if(iel>=ialset[i1-1]-1) break;
          if(ipkon[iel]<0) continue;
          ielcs[iel]=i;
          indexe=ipkon[iel];
          if(strcmp1(&lakon[8*iel+3],"2")==0)nope=20;
          else if (strcmp1(&lakon[8*iel+3],"8")==0)nope=8;
          else if (strcmp1(&lakon[8*iel+3],"10")==0)nope=10;
          else if (strcmp1(&lakon[8*iel+3],"4")==0)nope=4;
          else if (strcmp1(&lakon[8*iel+3],"15")==0)nope=15;
          else {nope=6;}
          for(i2=0;i2<nope;++i2){
            node=kon[indexe+i2]-1;
            inocs[node]=i;
          }
        }while(1);
      }
    } 
  }

  /* filling in the matrix */

  for(nm=cs[1];nm<=cs[2];++nm){

  ad=NNEW(double,*neq);
  au=NNEW(double,*nzs);

  adb=NNEW(double,*neq);
  aub=NNEW(double,*nzs);

  fext=NNEW(double,*neq);

  if(*iperturb==0){
    FORTRAN(mafillsmcs,(co,nk,kon,ipkon,lakon,ne,nodeboun,ndirboun,xboun,nboun,
	      ipompc,nodempc,coefmpc,nmpc,nodeforc,ndirforc,xforc,
	      nforc,nelemload,sideload,xload,nload,xbody,ipobody,nbody,cgr,
	      ad,au,fext,nactdof,icol,jq,irow,neq,nzl,nmethod,
	      ikmpc,ilmpc,ikboun,ilboun,
	      elcon,nelcon,rhcon,nrhcon,alcon,nalcon,alzero,ielmat,
	      ielorien,norien,orab,ntmat_,
	      t0,t0,ithermal,prestr,iprestr,vold,iperturb,sti,
	      nzs,stx,adb,aub,iexpl,plicon,nplicon,plkcon,nplkcon,
	      xstiff,npmat_,&dtime,matname,mint_,
	      ics,cs,&nm,ncmat_,labmpc,&mass,&stiffness,&buckling,&rhsi,
              &intscheme,mcs,&coriolis,ibody));
  }
  else{
    FORTRAN(mafillsmcs,(co,nk,kon,ipkon,lakon,ne,nodeboun,ndirboun,xboun,nboun,
	      ipompc,nodempc,coefmpc,nmpc,nodeforc,ndirforc,xforc,
	      nforc,nelemload,sideload,xload,nload,xbody,ipobody,nbody,cgr,
	      ad,au,fext,nactdof,icol,jq,irow,neq,nzl,nmethod,
	      ikmpc,ilmpc,ikboun,ilboun,
	      elcon,nelcon,rhcon,nrhcon,alcon,nalcon,alzero,ielmat,
	      ielorien,norien,orab,ntmat_,
	      t0,t1old,ithermal,prestr,iprestr,vold,iperturb,sti,
	      nzs,stx,adb,aub,iexpl,plicon,nplicon,plkcon,nplkcon,
	      xstiff,npmat_,&dtime,matname,mint_,
              ics,cs,&nm,ncmat_,labmpc,&mass,&stiffness,&buckling,&rhsi,
              &intscheme,mcs,&coriolis,ibody));
  }

  free(fext);

  if(*nmethod==0){

    /* error occurred in mafill: storing the geometry in frd format */

    ++*kode;time=0.;
    inum=NNEW(int,*nk);for(k=0;k<*nk;k++) inum[k]=1;
    ipneigh=NNEW(int,*nk);neigh=NNEW(int,40**ne);
    FORTRAN(out,(co,nk,kon,ipkon,lakon,ne,v,stn,inum,nmethod,kode,filab,een,t1,
         fn,&time,epn,ielmat,matname,enern,xstaten,nstate_,&istep,&iinc,
	 iperturb,ener,mint_,output,ithermal,qfn,&j,&nm,
         trab,inotr,ntrans,orab,ielorien,norien,description,
                     ipneigh,neigh,sti));
    
    free(inum);free(ipneigh);free(neigh);FORTRAN(stop,());

  }


  /* LU decomposition of the left hand matrix */

  if(*isolver==0){
#ifdef SPOOLES
    spooles_factor(ad,au,adb,aub,&sigma,icol,irow,neq,nzs,&symmetryflag,
                   &inputformat);
#else
    printf("*ERROR in arpackcs: the SPOOLES library is not linked\n\n");
    FORTRAN(stop,());
#endif
  }
  else if(*isolver==4){
#ifdef SGI
    token=1;
    sgi_factor(ad,au,adb,aub,&sigma,icol,irow,neq,nzs,token);
#else
    printf("*ERROR in arpackcs: the SGI library is not linked\n\n");
    FORTRAN(stop,());
#endif
  }
  else if(*isolver==5){
#ifdef TAUCS
    tau_factor(ad,&au,adb,aub,&sigma,icol,&irow,neq,nzs);
#else
    printf("*ERROR in arpackcs: the TAUCS library is not linked\n\n");
    FORTRAN(stop,());
#endif
  }

  free(au);free(ad);

  /* calculating the eigenvalues and eigenmodes */
  
  printf(" Calculating the eigenvalues and the eigenmodes\n");

  ido=0;
  dz=*neq;
  iparam[0]=1;
  iparam[2]=mxiter;
  iparam[3]=1;
  iparam[6]=3;

  lworkl=ncv*(8+ncv);
  info=0;

  resid=NNEW(double,*neq);
  z=NNEW(double,ncv**neq);
  workd=NNEW(double,3**neq);
  workl=NNEW(double,lworkl);

  FORTRAN(dsaupd,(&ido,bmat,neq,which,&nev,&tol,resid,&ncv,z,&dz,iparam,ipntr,workd,
	  workl,&lworkl,&info));

  temp_array=NNEW(double,*neq);

  while((ido==-1)||(ido==1)||(ido==2)){
    if(ido==-1){
      FORTRAN(op,(neq,aux,&workd[ipntr[0]-1],temp_array,adb,aub,icol,irow,nzl));
    }

      /* solve the linear equation system  */

    if((ido==-1)||(ido==1)){

      if(ido==-1){
        if(*isolver==0){
#ifdef SPOOLES
          spooles_solve(temp_array,neq);
#endif
        }
        else if(*isolver==4){
#ifdef SGI
          sgi_solve(temp_array,token);
#endif
        }
        else if(*isolver==5){
#ifdef TAUCS
          tau_solve(temp_array,neq);
#endif
        }
        for(jrow=0;jrow<*neq;jrow++){
          workd[ipntr[1]-1+jrow]=temp_array[jrow];
        }
      }
      else if(ido==1){
        if(*isolver==0){
#ifdef SPOOLES
          spooles_solve(&workd[ipntr[2]-1],neq);
#endif
        }
        else if(*isolver==4){
#ifdef SGI
          sgi_solve(&workd[ipntr[2]-1],token);
#endif
        }
        else if(*isolver==5){
#ifdef TAUCS
          tau_solve(&workd[ipntr[2]-1],neq);
#endif
        }
        for(jrow=0;jrow<*neq;jrow++){
          workd[ipntr[1]-1+jrow]=workd[ipntr[2]-1+jrow];
        }
      }
      
    }

    if(ido==2){
      FORTRAN(op,(neq,aux,&workd[ipntr[0]-1],&workd[ipntr[1]-1],adb,aub,icol,irow,nzl));
    }

    FORTRAN(dsaupd,(&ido,bmat,neq,which,&nev,&tol,resid,&ncv,z,&dz,iparam,ipntr,workd,
	    workl,&lworkl,&info));
  }

/*--------------------------------------------------------------------*/
/*
   -----------
   free memory
   -----------
*/
  free(temp_array);
  if(*isolver==0){
#ifdef SPOOLES
    spooles_cleanup();
#endif
  }
  else if(*isolver==4){
#ifdef SGI
    sgi_cleanup(token);
#endif
  }
  else if(*isolver==5){
#ifdef TAUCS
    tau_cleanup();
#endif
  }

  if(info!=0){
    printf("*ERROR in arpackcs: info=%d\n",info);
    printf("       # of converged eigenvalues=%d\n\n",iparam[4]);
  }         

  select=NNEW(int,ncv);
  d=NNEW(double,nev);

  FORTRAN(dseupd,(&rvec,howmny,select,d,z,&dz,&sigma,bmat,neq,which,&nev,&tol,resid,
	  &ncv,z,&dz,iparam,ipntr,workd,workl,&lworkl,&info));

  FORTRAN(writeevcs,(d,&nev,&nm,&fmin,&fmax));

  /* writing the eigenvalues and mass matrix to a binary file */

  if(mei[3]==1){

      strcpy(fneig,jobnamec);
      strcat(fneig,".eig");

      /* the first time the file is erased before writing, all subsequent
         times the data is appended */

      if(*nevtot==0){
	  if((f1=fopen(fneig,"wb"))==NULL){
	      printf("*ERROR in arpack: cannot open eigenvalue file for writing...");
	      exit(0);
	  }
      }else{
	  if((f1=fopen(fneig,"ab"))==NULL){
	      printf("*ERROR in arpack: cannot open eigenvalue file for writing...");
	      exit(0);
	  }
      }

      if(fwrite(&nm,sizeof(int),1,f1)!=1){
	  printf("*ERROR saving data to the eigenvalue file...");
	  exit(0);
      }
      if(fwrite(&nev,sizeof(int),1,f1)!=1){
	  printf("*ERROR saving data to the eigenvalue file...");
	  exit(0);
      }

      /* the eigenfrequencies are stored as radians/time */

      if(fwrite(d,sizeof(double),nev,f1)!=nev){
	  printf("*ERROR saving data to the eigenvalue file...");
	  exit(0);
      }
      if(*nevtot==0){
	  if(fwrite(adb,sizeof(double),*neq,f1)!=*neq){
	      printf("*ERROR saving data to the eigenvalue file...");
	      exit(0);
	  }
	  if(fwrite(aub,sizeof(double),*nzs,f1)!=*nzs){
	      printf("*ERROR saving data to the eigenvalue file...");
	      exit(0);
	  }
      }
  }

  /* calculating the displacements and the stresses and storing */
  /* the results in frd format for each valid eigenmode */

  v=NNEW(double,8**nk);
  fn=NNEW(double,8**nk);
  stn=NNEW(double,12**nk);

  if(strcmp1(&filab[18],"E   ")==0) een=NNEW(double,12**nk);
  if(strcmp1(&filab[36],"ENER")==0) enern=NNEW(double,2**nk);

  inum=NNEW(int,*nk);
  stx=NNEW(double,6**mint_**ne);
  
  temp_array=NNEW(double,*neq);
  coefmpcnew=NNEW(double,*mpcend);

  cot=NNEW(double,3**nk*ngraph);
  inotrt=NNEW(int,2**nk*ngraph);
  if(strcmp1(&filab[0],"U   ")==0)
    vt=NNEW(double,4**nk*ngraph);
  if(strcmp1(&filab[6],"NT  ")==0)
    t1t=NNEW(double,*nk*ngraph);
  if(strcmp1(&filab[12],"S   ")==0)
    stnt=NNEW(double,6**nk*ngraph);
  if(strcmp1(&filab[18],"E   ")==0)
    eent=NNEW(double,6**nk*ngraph);
  if(strcmp1(&filab[24],"RF  ")==0)
    fnt=NNEW(double,4**nk*ngraph);
  if(strcmp1(&filab[36],"ENER")==0)
    enernt=NNEW(double,*nk*ngraph);

  kont=NNEW(int,*nkon*ngraph);
  ipkont=NNEW(int,*ne*ngraph);
  for(l=0;l<*ne*ngraph;l++)ipkont[l]=-1;
  lakont=NNEW(char,8**ne*ngraph);
  inumt=NNEW(int,*nk*ngraph);
  ielmatt=NNEW(int,*ne*ngraph);

  nkt=ngraph**nk;
  net=ngraph**ne;

  /* copying the coordinates of the first sector */

  for(l=0;l<3**nk;l++){cot[l]=co[l];}
  for(l=0;l<*nk;l++){inotrt[2*l]=inotr[2*l];}
  for(l=0;l<*nkon;l++){kont[l]=kon[l];}
  for(l=0;l<*ne;l++){ipkont[l]=ipkon[l];}
  for(l=0;l<8**ne;l++){lakont[l]=lakon[l];}
  for(l=0;l<*ne;l++){ielmatt[l]=ielmat[l];}

  /* generating the coordinates for the other sectors */

  icntrl=1;

  FORTRAN(rectcyl,(cot,v,fn,stn,qfn,een,cs,nk,&icntrl,t,filab,&imag));

  for(jj=0;jj<*mcs;jj++){
    is=cs[17*jj+4];
    for(i=1;i<is;i++){
      
      theta=i*2.*pi/cs[17*jj];
      
      for(l=0;l<*nk;l++){
        if(inocs[l]==jj){
          cot[3*l+i*3**nk]=cot[3*l];
          cot[1+3*l+i*3**nk]=cot[1+3*l]+theta;
          cot[2+3*l+i*3**nk]=cot[2+3*l];
	  inotrt[2*l+i*2**nk]=inotrt[2*l];
        }
      }
      for(l=0;l<*nkon;l++){kont[l+i**nkon]=kon[l]+i**nk;}
      for(l=0;l<*ne;l++){
        if(ielcs[l]==jj){
          if(ipkon[l]>=0){
            ipkont[l+i**ne]=ipkon[l]+i**nkon;
            ielmatt[l+i**ne]=ielmat[l];
            for(l1=0;l1<8;l1++){
              l2=8*l+l1;
              lakont[l2+i*8**ne]=lakon[l2];
            }
          }
        }
      }
    }
  }

  icntrl=-1;

  FORTRAN(rectcyl,(cot,vt,fnt,stnt,qfnt,eent,cs,&nkt,&icntrl,t,filab,&imag));

  lfin=0;
  for(j=0;j<nev;++j){
    lint=lfin;
    lfin=lfin+*neq;

    if(mei[3]==1){
	if(fwrite(&z[lint],sizeof(double),*neq,f1)!=*neq){
	    printf("*ERROR saving data to the eigenvalue file...");
	    exit(0);
	}
    }

    /* check whether the frequency belongs to the requested
       interval */

    if(fmin>d[j]) continue;
    if(fmax>0.){
      if(fmax<d[j]) break;
    }

    if(*nprint>0)FORTRAN(writehe,(&j));

    /* generating the cyclic MPC's (needed for nodal diameters
       different from 0 */

    eei=NNEW(double,6**mint_**ne);
    if(*nener==1){
	stiini=NNEW(double,6**mint_**ne);
	enerini=NNEW(double,*mint_**ne);}

    for(k=0;k<*neq;k+=*neq/2){

      for(i=0;i<6**mint_**ne;i++){eme[i]=0.;}

      if(k==0) {kk=0;kk4=0;kk6=0;if(*nprint>0)FORTRAN(writere,());}
      else {kk=*nk;kk4=4**nk;kk6=6**nk;if(*nprint>0)FORTRAN(writeim,());}
      for(i=0;i<*nmpc;i++){
	index=ipompc[i]-1;
        /* check whether thermal mpc */
	if(nodempc[3*index+1]==0) continue;
	coefmpcnew[index]=coefmpc[index];
	while(1){
	  index=nodempc[3*index+2];
	  if(index==0) break;
	  index--;

	  icomplex=0;
	  inode=nodempc[3*index];
	  if(strcmp1(&labmpc[20*i],"CYCLIC")==0){
            icomplex=atoi(&labmpc[20*i+6]);}
	  else if(strcmp1(&labmpc[20*i],"SUBCYCLIC")==0){
            for(ij=0;ij<*mcs;ij++){
              lprev=cs[ij*17+13];
              ilength=cs[ij*17+3];
              FORTRAN(nident,(&ics[lprev],&inode,&ilength,&id));
              if(id!=0){
                if(ics[lprev+id-1]==inode){icomplex=ij+1;break;}
              }
            }
	  }

          if(icomplex!=0){
	    idir=nodempc[3*index+1];
	    idof=nactdof[4*(inode-1)+idir]-1;
            if(idof==-1){xreal=1.;ximag=1.;}
            else{xreal=z[lint+idof];ximag=z[lint+idof+*neq/2];}
            if(k==0) {
              if(fabs(xreal)<1.e-30)xreal=1.e-30;
	      coefmpcnew[index]=coefmpc[index]*
 		(cs[17*(icomplex-1)+14]+ximag/xreal*cs[17*(icomplex-1)+15]);}
	    else {
              if(fabs(ximag)<1.e-30)ximag=1.e-30;
              coefmpcnew[index]=coefmpc[index]*
		(cs[17*(icomplex-1)+14]-xreal/ximag*cs[17*(icomplex-1)+15]);}
          }
	  else{coefmpcnew[index]=coefmpc[index];}
	}
      }

      if(*iperturb==0){
	FORTRAN(results,(co,nk,kon,ipkon,lakon,ne,&v[kk4],&stn[kk6],inum,
            stx,elcon,
	    nelcon,rhcon,nrhcon,alcon,nalcon,alzero,ielmat,ielorien,
	    norien,orab,ntmat_,t0,t0,ithermal,
	    prestr,iprestr,filab,eme,&een[kk6],iperturb,
            f,&fn[kk4],nactdof,&iout,qa,vold,&z[lint+k],
	    nodeboun,ndirboun,xboun,nboun,ipompc,
	    nodempc,coefmpcnew,labmpc,nmpc,nmethod,cam,neq,veold,accold,
            &bet,&gam,&dtime,&time,ttime,plicon,nplicon,plkcon,nplkcon,
	    xstateini,xstiff,xstate,npmat_,epn,matname,mint_,&ielas,&icmd,
	    ncmat_,nstate_,stiini,vini,ikboun,ilboun,ener,&enern[kk],sti,
            xstaten,eei,enerini,cocon,ncocon,set,nset,istartset,iendset,
            ialset,nprint,prlab,prset,qfx,qfn,trab,inotr,ntrans,fmpc,
            nelemload,nload));}
      else{
	FORTRAN(results,(co,nk,kon,ipkon,lakon,ne,&v[kk4],&stn[kk6],inum,
            stx,elcon,
	    nelcon,rhcon,nrhcon,alcon,nalcon,alzero,ielmat,ielorien,
	    norien,orab,ntmat_,t0,t1old,ithermal,
	    prestr,iprestr,filab,eme,&een[kk6],iperturb,
            f,&fn[kk4],nactdof,&iout,qa,vold,&z[lint+k],
	    nodeboun,ndirboun,xboun,nboun,ipompc,
	    nodempc,coefmpcnew,labmpc,nmpc,nmethod,cam,neq,veold,accold,
            &bet,&gam,&dtime,&time,ttime,plicon,nplicon,plkcon,nplkcon,
	    xstateini,xstiff,xstate,npmat_,epn,matname,mint_,&ielas,&icmd,
	    ncmat_,nstate_,stiini,vini,ikboun,ilboun,ener,&enern[kk],sti,
            xstaten,eei,enerini,cocon,ncocon,set,nset,istartset,iendset,
            ialset,nprint,prlab,prset,qfx,qfn,trab,inotr,ntrans,fmpc,
            nelemload,nload));
      }

    }
    free(eei);
    if(*nener==1){
	free(stiini);free(enerini);}


    /* mapping the results to the other sectors */

    for(l=0;l<*nk;l++){inumt[l]=inum[l];}

    icntrl=2;

    FORTRAN(rectcyl,(co,v,fn,stn,qfn,een,cs,nk,&icntrl,t,filab,&imag));

    if(strcmp1(&filab[0],"U   ")==0)
      for(l=0;l<4**nk;l++){vt[l]=v[l];};
    if(strcmp1(&filab[6],"NT  ")==0)
      for(l=0;l<*nk;l++){t1t[l]=t1[l];};
    if(strcmp1(&filab[12],"S   ")==0)
      for(l=0;l<6**nk;l++){stnt[l]=stn[l];};
    if(strcmp1(&filab[18],"E   ")==0)
      for(l=0;l<6**nk;l++){eent[l]=een[l];};
    if(strcmp1(&filab[24],"RF  ")==0)
      for(l=0;l<4**nk;l++){fnt[l]=fn[l];};
    if(strcmp1(&filab[36],"ENER")==0)
      for(l=0;l<*nk;l++){enernt[l]=enern[l];};

    for(jj=0;jj<*mcs;jj++){
      ilength=cs[17*jj+3];
      is=cs[17*jj+4];
      lprev=cs[17*jj+13];
      for(i=1;i<is;i++){
        
        for(l=0;l<*nk;l++){inumt[l+i**nk]=inum[l];}
        
        theta=i*nm*2.*pi/cs[17*jj];
        ctl=cos(theta);
        stl=sin(theta);
        
        if(strcmp1(&filab[0],"U   ")==0){
          for(l1=0;l1<*nk;l1++){
            if(inocs[l1]==jj){

              /* check whether node lies on axis */

	      ml1=-l1-1;
              FORTRAN(nident,(&ics[lprev],&ml1,&ilength,&id));
	      if(id!=0){
		  if(ics[lprev+id-1]==ml1){
		      for(l2=0;l2<4;l2++){
			  l=4*l1+l2;
			  vt[l+4**nk*i]=v[l];
		      }
		      continue;
		  }
	      }
              for(l2=0;l2<4;l2++){
                l=4*l1+l2;
                vt[l+4**nk*i]=ctl*v[l]-stl*v[l+4**nk];
              }
            }
          }
        }
        
        if(strcmp1(&filab[6],"NT  ")==0){
          for(l=0;l<*nk;l++){
	      if(inocs[l]==jj) t1t[l+*nk*i]=t1[l];
          }
        }
        
        if(strcmp1(&filab[12],"S   ")==0){
          for(l1=0;l1<*nk;l1++){
            if(inocs[l1]==jj){

              /* check whether node lies on axis */

	      ml1=-l1-1;
              FORTRAN(nident,(&ics[lprev],&ml1,&ilength,&id));
	      if(id!=0){
		  if(ics[lprev+id-1]==ml1){
		      for(l2=0;l2<6;l2++){
			  l=6*l1+l2;
			  stnt[l+6**nk*i]=stn[l];
		      }
		      continue;
		  }
	      }
              for(l2=0;l2<6;l2++){
                l=6*l1+l2;
                stnt[l+6**nk*i]=ctl*stn[l]-stl*stn[l+6**nk];
              }
            }
          }
        }
        
        if(strcmp1(&filab[18],"E   ")==0){
          for(l1=0;l1<*nk;l1++){
            if(inocs[l1]==jj){

              /* check whether node lies on axis */

	      ml1=-l1-1;
              FORTRAN(nident,(&ics[lprev],&ml1,&ilength,&id));
	      if(id!=0){
		  if(ics[lprev+id-1]==ml1){
		      for(l2=0;l2<6;l2++){
			  l=6*l1+l2;
			  eent[l+6**nk*i]=een[l];
		      }
		      continue;
		  }
	      }
              for(l2=0;l2<6;l2++){
                l=6*l1+l2;
                eent[l+6**nk*i]=ctl*een[l]-stl*een[l+6**nk];
              }
            }
          }
        }
        
        if(strcmp1(&filab[24],"RF  ")==0){
          for(l1=0;l1<*nk;l1++){
            if(inocs[l1]==jj){

              /* check whether node lies on axis */

	      ml1=-l1-1;
              FORTRAN(nident,(&ics[lprev],&ml1,&ilength,&id));
	      if(id!=0){
		  if(ics[lprev+id-1]==ml1){
		      for(l2=0;l2<4;l2++){
			  l=4*l1+l2;
			  fnt[l+4**nk*i]=fn[l];
		      }
		      continue;
		  }
	      }
              for(l2=0;l2<4;l2++){
                l=4*l1+l2;
                fnt[l+4**nk*i]=ctl*fn[l]-stl*fn[l+4**nk];
              }
            }
          }
        }
        
        if(strcmp1(&filab[36],"ENER")==0){
          for(l=0;l<*nk;l++){
            if(inocs[l]==jj) enernt[l+*nk*i]=0.;
          }
        }
      }
    }

    icntrl=-2;

    FORTRAN(rectcyl,(cot,vt,fnt,stnt,qfnt,eent,cs,&nkt,&icntrl,t,filab,
      &imag));

    ++*kode;
    freq=d[j]/6.283185308;
    ipneigh=NNEW(int,*nk);neigh=NNEW(int,40**ne);
    FORTRAN(out,(cot,&nkt,kont,ipkont,lakont,&net,vt,stnt,inumt,nmethod,kode,
       filab,eent,t1t,fnt,&freq,epn,ielmatt,matname,enernt,xstaten,nstate_,
       &istep,&iinc,iperturb,ener,mint_,output,ithermal,qfn,&j,&nm,
       trab,inotrt,ntrans,orab,ielorien,norien,description,
                     ipneigh,neigh,sti));free(ipneigh);free(neigh);

  }

  if((fmax>0.)&&(fmax>d[nev-1])){
    printf("\n*WARNING: not all frequencies in the requested interval might be found;\nincrease the number of requested frequencies\n");
  }

  free(adb);free(aub);free(temp_array);free(coefmpcnew);

  free(v);free(fn);free(stn);free(inum);free(stx);free(resid);
  free(z);free(workd);free(workl);free(select);free(d);

  if(strcmp1(&filab[18],"E   ")==0) free(een);
  if(strcmp1(&filab[36],"ENER")==0) free(enern);

  if(strcmp1(&filab[0],"U   ")==0) free(vt);
  if(strcmp1(&filab[6],"NT  ")==0) free(t1t);
  if(strcmp1(&filab[12],"S   ")==0) free(stnt);
  if(strcmp1(&filab[18],"E   ")==0) free(eent);
  if(strcmp1(&filab[24],"RF  ")==0) free(fnt);
  if(strcmp1(&filab[36],"ENER")==0) free(enernt);

  free(cot);free(kont);free(ipkont);free(lakont);free(inumt);free(ielmatt);
  free(inotrt);

  if(mei[3]==1){
      (*nevtot)+=nev;
      fclose(f1);
  }

  }

  free(inocs);free(ielcs);free(xstiff);
  free(ipobody);

  return;
}

#endif