7e042b954ab0bfa7d0e9b12da47f5181f07c2cd8
[unres.git] / source / unres / src_MD / energy_p_new_barrier.F
1       subroutine etotal(energia)
2       implicit real*8 (a-h,o-z)
3       include 'DIMENSIONS'
4 #ifndef ISNAN
5       external proc_proc
6 #ifdef WINPGI
7 cMS$ATTRIBUTES C ::  proc_proc
8 #endif
9 #endif
10 #ifdef MPI
11       include "mpif.h"
12       double precision weights_(n_ene)
13 #endif
14       include 'COMMON.SETUP'
15       include 'COMMON.IOUNITS'
16       double precision energia(0:n_ene)
17       include 'COMMON.LOCAL'
18       include 'COMMON.FFIELD'
19       include 'COMMON.DERIV'
20       include 'COMMON.INTERACT'
21       include 'COMMON.SBRIDGE'
22       include 'COMMON.CHAIN'
23       include 'COMMON.VAR'
24       include 'COMMON.MD'
25       include 'COMMON.CONTROL'
26       include 'COMMON.TIME1'
27 #ifdef MPI      
28 c      print*,"ETOTAL Processor",fg_rank," absolute rank",myrank,
29 c     & " nfgtasks",nfgtasks
30       call flush(iout)
31       if (nfgtasks.gt.1) then
32 #ifdef MPI
33         time00=MPI_Wtime()
34 #else
35         time00=tcpu()
36 #endif
37 C FG slaves call the following matching MPI_Bcast in ERGASTULUM
38         if (fg_rank.eq.0) then
39           call MPI_Bcast(0,1,MPI_INTEGER,king,FG_COMM,IERROR)
40 c          print *,"Processor",myrank," BROADCAST iorder"
41 C FG master sets up the WEIGHTS_ array which will be broadcast to the 
42 C FG slaves as WEIGHTS array.
43           weights_(1)=wsc
44           weights_(2)=wscp
45           weights_(3)=welec
46           weights_(4)=wcorr
47           weights_(5)=wcorr5
48           weights_(6)=wcorr6
49           weights_(7)=wel_loc
50           weights_(8)=wturn3
51           weights_(9)=wturn4
52           weights_(10)=wturn6
53           weights_(11)=wang
54           weights_(12)=wscloc
55           weights_(13)=wtor
56           weights_(14)=wtor_d
57           weights_(15)=wstrain
58           weights_(16)=wvdwpp
59           weights_(17)=wbond
60           weights_(18)=scal14
61           weights_(21)=wsccor
62           weights_(22)=wsct
63 C FG Master broadcasts the WEIGHTS_ array
64           call MPI_Bcast(weights_(1),n_ene,
65      &        MPI_DOUBLE_PRECISION,king,FG_COMM,IERROR)
66         else
67 C FG slaves receive the WEIGHTS array
68           call MPI_Bcast(weights(1),n_ene,
69      &        MPI_DOUBLE_PRECISION,king,FG_COMM,IERROR)
70           wsc=weights(1)
71           wscp=weights(2)
72           welec=weights(3)
73           wcorr=weights(4)
74           wcorr5=weights(5)
75           wcorr6=weights(6)
76           wel_loc=weights(7)
77           wturn3=weights(8)
78           wturn4=weights(9)
79           wturn6=weights(10)
80           wang=weights(11)
81           wscloc=weights(12)
82           wtor=weights(13)
83           wtor_d=weights(14)
84           wstrain=weights(15)
85           wvdwpp=weights(16)
86           wbond=weights(17)
87           scal14=weights(18)
88           wsccor=weights(21)
89           wsct=weights(22)
90         endif
91         time_Bcast=time_Bcast+MPI_Wtime()-time00
92         time_Bcastw=time_Bcastw+MPI_Wtime()-time00
93 c        call chainbuild_cart
94       endif
95 c      write(iout,*) 'Processor',myrank,' calling etotal ipot=',ipot
96 c      print *,'Processor',myrank,' nnt=',nnt,' nct=',nct
97 #else
98 c      if (modecalc.eq.12.or.modecalc.eq.14) then
99 c        call int_from_cart1(.false.)
100 c      endif
101 #endif     
102 #ifndef DFA
103       edfadis=0.0d0
104       edfator=0.0d0
105       edfanei=0.0d0
106       edfabet=0.0d0
107 #endif
108 #ifdef TIMING
109 #ifdef MPI
110       time00=MPI_Wtime()
111 #else
112       time00=tcpu()
113 #endif
114 #endif
115
116 C Compute the side-chain and electrostatic interaction energy
117 C
118       goto (101,102,103,104,105,106) ipot
119 C Lennard-Jones potential.
120   101 call elj(evdw,evdw_p,evdw_m)
121 cd    print '(a)','Exit ELJ'
122       goto 107
123 C Lennard-Jones-Kihara potential (shifted).
124   102 call eljk(evdw,evdw_p,evdw_m)
125       goto 107
126 C Berne-Pechukas potential (dilated LJ, angular dependence).
127   103 call ebp(evdw,evdw_p,evdw_m)
128       goto 107
129 C Gay-Berne potential (shifted LJ, angular dependence).
130   104 call egb(evdw,evdw_p,evdw_m)
131       goto 107
132 C Gay-Berne-Vorobjev potential (shifted LJ, angular dependence).
133   105 call egbv(evdw,evdw_p,evdw_m)
134       goto 107
135 C Soft-sphere potential
136   106 call e_softsphere(evdw)
137 C
138 C Calculate electrostatic (H-bonding) energy of the main chain.
139 C
140   107 continue
141 #ifdef DFA
142 C     BARTEK for dfa test!
143       if (wdfa_dist.gt.0) then 
144         call edfad(edfadis)
145       else
146         edfadis=0
147       endif
148 c      print*, 'edfad is finished!', edfadis
149       if (wdfa_tor.gt.0) then
150         call edfat(edfator)
151       else
152         edfator=0
153       endif
154 c      print*, 'edfat is finished!', edfator
155       if (wdfa_nei.gt.0) then
156         call edfan(edfanei)
157       else
158         edfanei=0
159       endif    
160 c      print*, 'edfan is finished!', edfanei
161       if (wdfa_beta.gt.0) then 
162         call edfab(edfabet)
163       else
164         edfabet=0
165       endif
166 #endif
167 c      print*, 'edfab is finished!', edfabet
168 cmc
169 cmc Sep-06: egb takes care of dynamic ss bonds too
170 cmc
171 c      if (dyn_ss) call dyn_set_nss
172
173 c      print *,"Processor",myrank," computed USCSC"
174 #ifdef TIMING
175 #ifdef MPI
176       time01=MPI_Wtime() 
177 #else
178       time00=tcpu()
179 #endif
180 #endif
181       call vec_and_deriv
182 #ifdef TIMING
183 #ifdef MPI
184       time_vec=time_vec+MPI_Wtime()-time01
185 #else
186       time_vec=time_vec+tcpu()-time01
187 #endif
188 #endif
189 c      print *,"Processor",myrank," left VEC_AND_DERIV"
190       if (ipot.lt.6) then
191 #ifdef SPLITELE
192          if (welec.gt.0d0.or.wvdwpp.gt.0d0.or.wel_loc.gt.0d0.or.
193      &       wturn3.gt.0d0.or.wturn4.gt.0d0 .or. wcorr.gt.0.0d0
194      &       .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.d0
195      &       .or. wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0 ) then
196 #else
197          if (welec.gt.0d0.or.wel_loc.gt.0d0.or.
198      &       wturn3.gt.0d0.or.wturn4.gt.0d0 .or. wcorr.gt.0.0d0
199      &       .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.d0 
200      &       .or. wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0 ) then
201 #endif
202             call eelec(ees,evdw1,eel_loc,eello_turn3,eello_turn4)
203          else
204             ees=0.0d0
205             evdw1=0.0d0
206             eel_loc=0.0d0
207             eello_turn3=0.0d0
208             eello_turn4=0.0d0
209          endif
210       else
211 c        write (iout,*) "Soft-spheer ELEC potential"
212         call eelec_soft_sphere(ees,evdw1,eel_loc,eello_turn3,
213      &   eello_turn4)
214       endif
215 c      print *,"Processor",myrank," computed UELEC"
216 C
217 C Calculate excluded-volume interaction energy between peptide groups
218 C and side chains.
219 C
220       if (ipot.lt.6) then
221        if(wscp.gt.0d0) then
222         call escp(evdw2,evdw2_14)
223        else
224         evdw2=0
225         evdw2_14=0
226        endif
227       else
228 c        write (iout,*) "Soft-sphere SCP potential"
229         call escp_soft_sphere(evdw2,evdw2_14)
230       endif
231 c
232 c Calculate the bond-stretching energy
233 c
234       call ebond(estr)
235
236 C Calculate the disulfide-bridge and other energy and the contributions
237 C from other distance constraints.
238 cd    print *,'Calling EHPB'
239       call edis(ehpb)
240 cd    print *,'EHPB exitted succesfully.'
241 C
242 C Calculate the virtual-bond-angle energy.
243 C
244       if (wang.gt.0d0) then
245         call ebend(ebe)
246       else
247         ebe=0
248       endif
249 c      print *,"Processor",myrank," computed UB"
250 C
251 C Calculate the SC local energy.
252 C
253       call esc(escloc)
254 c      print *,"Processor",myrank," computed USC"
255 C
256 C Calculate the virtual-bond torsional energy.
257 C
258 cd    print *,'nterm=',nterm
259       if (wtor.gt.0) then
260        call etor(etors,edihcnstr)
261       else
262        etors=0
263        edihcnstr=0
264       endif
265
266       if (constr_homology.ge.1.and.waga_homology(iset).ne.0d0) then
267         call e_modeller(ehomology_constr)
268 c        print *,'iset=',iset,'me=',me,ehomology_constr,
269 c     &  'Processor',fg_rank,' CG group',kolor,
270 c     &  ' absolute rank',MyRank
271       else
272         ehomology_constr=0.0d0
273       endif
274
275
276 c      write(iout,*) ehomology_constr
277 c      print *,"Processor",myrank," computed Utor"
278 C
279 C 6/23/01 Calculate double-torsional energy
280 C
281       if (wtor_d.gt.0) then
282        call etor_d(etors_d)
283       else
284        etors_d=0
285       endif
286 c      print *,"Processor",myrank," computed Utord"
287 C
288 C 21/5/07 Calculate local sicdechain correlation energy
289 C
290       if (wsccor.gt.0.0d0) then
291         call eback_sc_corr(esccor)
292       else
293         esccor=0.0d0
294       endif
295 c      print *,"Processor",myrank," computed Usccorr"
296
297 C 12/1/95 Multi-body terms
298 C
299       n_corr=0
300       n_corr1=0
301       if ((wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0 
302      &    .or. wturn6.gt.0.0d0) .and. ipot.lt.6) then
303          call multibody_eello(ecorr,ecorr5,ecorr6,eturn6,n_corr,n_corr1)
304 cd         write(2,*)'multibody_eello n_corr=',n_corr,' n_corr1=',n_corr1,
305 cd     &" ecorr",ecorr," ecorr5",ecorr5," ecorr6",ecorr6," eturn6",eturn6
306       else
307          ecorr=0.0d0
308          ecorr5=0.0d0
309          ecorr6=0.0d0
310          eturn6=0.0d0
311       endif
312       if ((wcorr4.eq.0.0d0 .and. wcorr.gt.0.0d0) .and. ipot.lt.6) then
313          call multibody_hb(ecorr,ecorr5,ecorr6,n_corr,n_corr1)
314 cd         write (iout,*) "multibody_hb ecorr",ecorr
315       endif
316 c      print *,"Processor",myrank," computed Ucorr"
317
318 C If performing constraint dynamics, call the constraint energy
319 C  after the equilibration time
320       if(usampl.and.totT.gt.eq_time) then
321 c         write (iout,*) "CALL TO ECONSTR_BACK"
322          call EconstrQ   
323          call Econstr_back
324       else
325          Uconst=0.0d0
326          Uconst_back=0.0d0
327       endif
328 #ifdef TIMING
329 #ifdef MPI
330       time_enecalc=time_enecalc+MPI_Wtime()-time00
331 #else
332       time_enecalc=time_enecalc+tcpu()-time00
333 #endif
334 #endif
335 c      print *,"Processor",myrank," computed Uconstr"
336 #ifdef TIMING
337 #ifdef MPI
338       time00=MPI_Wtime()
339 #else
340       time00=tcpu()
341 #endif
342 #endif
343 c
344 C Sum the energies
345 C
346       energia(1)=evdw
347 #ifdef SCP14
348       energia(2)=evdw2-evdw2_14
349       energia(18)=evdw2_14
350 #else
351       energia(2)=evdw2
352       energia(18)=0.0d0
353 #endif
354 #ifdef SPLITELE
355       energia(3)=ees
356       energia(16)=evdw1
357 #else
358       energia(3)=ees+evdw1
359       energia(16)=0.0d0
360 #endif
361       energia(4)=ecorr
362       energia(5)=ecorr5
363       energia(6)=ecorr6
364       energia(7)=eel_loc
365       energia(8)=eello_turn3
366       energia(9)=eello_turn4
367       energia(10)=eturn6
368       energia(11)=ebe
369       energia(12)=escloc
370       energia(13)=etors
371       energia(14)=etors_d
372       energia(15)=ehpb
373       energia(19)=edihcnstr
374       energia(17)=estr
375       energia(20)=Uconst+Uconst_back
376       energia(21)=esccor
377       energia(22)=evdw_p
378       energia(23)=evdw_m
379       energia(24)=ehomology_constr
380       energia(25)=edfadis
381       energia(26)=edfator
382       energia(27)=edfanei
383       energia(28)=edfabet
384 c      print *," Processor",myrank," calls SUM_ENERGY"
385       call sum_energy(energia,.true.)
386       if (dyn_ss) call dyn_set_nss
387 c      print *," Processor",myrank," left SUM_ENERGY"
388 #ifdef TIMING
389 #ifdef MPI
390       time_sumene=time_sumene+MPI_Wtime()-time00
391 #else
392       time_sumene=time_sumene+tcpu()-time00
393 #endif
394 #endif
395       return
396       end
397 c-------------------------------------------------------------------------------
398       subroutine sum_energy(energia,reduce)
399       implicit real*8 (a-h,o-z)
400       include 'DIMENSIONS'
401 #ifndef ISNAN
402       external proc_proc
403 #ifdef WINPGI
404 cMS$ATTRIBUTES C ::  proc_proc
405 #endif
406 #endif
407 #ifdef MPI
408       include "mpif.h"
409 #endif
410       include 'COMMON.SETUP'
411       include 'COMMON.IOUNITS'
412       double precision energia(0:n_ene),enebuff(0:n_ene+1)
413       include 'COMMON.FFIELD'
414       include 'COMMON.DERIV'
415       include 'COMMON.INTERACT'
416       include 'COMMON.SBRIDGE'
417       include 'COMMON.CHAIN'
418       include 'COMMON.VAR'
419       include 'COMMON.CONTROL'
420       include 'COMMON.TIME1'
421       logical reduce
422 #ifdef MPI
423       if (nfgtasks.gt.1 .and. reduce) then
424 #ifdef DEBUG
425         write (iout,*) "energies before REDUCE"
426         call enerprint(energia)
427         call flush(iout)
428 #endif
429         do i=0,n_ene
430           enebuff(i)=energia(i)
431         enddo
432         time00=MPI_Wtime()
433         call MPI_Barrier(FG_COMM,IERR)
434         time_barrier_e=time_barrier_e+MPI_Wtime()-time00
435         time00=MPI_Wtime()
436         call MPI_Reduce(enebuff(0),energia(0),n_ene+1,
437      &    MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
438 #ifdef DEBUG
439         write (iout,*) "energies after REDUCE"
440         call enerprint(energia)
441         call flush(iout)
442 #endif
443         time_Reduce=time_Reduce+MPI_Wtime()-time00
444       endif
445       if (fg_rank.eq.0) then
446 #endif
447 #ifdef TSCSC
448       evdw=energia(22)+wsct*energia(23)
449 #else
450       evdw=energia(1)
451 #endif
452 #ifdef SCP14
453       evdw2=energia(2)+energia(18)
454       evdw2_14=energia(18)
455 #else
456       evdw2=energia(2)
457 #endif
458 #ifdef SPLITELE
459       ees=energia(3)
460       evdw1=energia(16)
461 #else
462       ees=energia(3)
463       evdw1=0.0d0
464 #endif
465       ecorr=energia(4)
466       ecorr5=energia(5)
467       ecorr6=energia(6)
468       eel_loc=energia(7)
469       eello_turn3=energia(8)
470       eello_turn4=energia(9)
471       eturn6=energia(10)
472       ebe=energia(11)
473       escloc=energia(12)
474       etors=energia(13)
475       etors_d=energia(14)
476       ehpb=energia(15)
477       edihcnstr=energia(19)
478       estr=energia(17)
479       Uconst=energia(20)
480       esccor=energia(21)
481       ehomology_constr=energia(24)
482       edfadis=energia(25)
483       edfator=energia(26)
484       edfanei=energia(27)
485       edfabet=energia(28)
486 #ifdef SPLITELE
487       etot=wsc*evdw+wscp*evdw2+welec*ees+wvdwpp*evdw1
488      & +wang*ebe+wtor*etors+wscloc*escloc
489      & +wstrain*ehpb+wcorr*ecorr+wcorr5*ecorr5
490      & +wcorr6*ecorr6+wturn4*eello_turn4+wturn3*eello_turn3
491      & +wturn6*eturn6+wel_loc*eel_loc+edihcnstr+wtor_d*etors_d
492      & +wbond*estr+Uconst+wsccor*esccor+ehomology_constr
493      & +wdfa_dist*edfadis+wdfa_tor*edfator+wdfa_nei*edfanei
494      & +wdfa_beta*edfabet    
495 #else
496       etot=wsc*evdw+wscp*evdw2+welec*(ees+evdw1)
497      & +wang*ebe+wtor*etors+wscloc*escloc
498      & +wstrain*ehpb+wcorr*ecorr+wcorr5*ecorr5
499      & +wcorr6*ecorr6+wturn4*eello_turn4+wturn3*eello_turn3
500      & +wturn6*eturn6+wel_loc*eel_loc+edihcnstr+wtor_d*etors_d
501      & +wbond*estr+Uconst+wsccor*esccor+ehomology_constr
502      & +wdfa_dist*edfadis+wdfa_tor*edfator+wdfa_nei*edfanei
503      & +wdfa_beta*edfabet    
504 #endif
505       energia(0)=etot
506 c detecting NaNQ
507 #ifdef ISNAN
508 #ifdef AIX
509       if (isnan(etot).ne.0) energia(0)=1.0d+99
510 #else
511       if (isnan(etot)) energia(0)=1.0d+99
512 #endif
513 #else
514       i=0
515 #ifdef WINPGI
516       idumm=proc_proc(etot,i)
517 #else
518       call proc_proc(etot,i)
519 #endif
520       if(i.eq.1)energia(0)=1.0d+99
521 #endif
522 #ifdef MPI
523       endif
524 #endif
525       return
526       end
527 c-------------------------------------------------------------------------------
528       subroutine sum_gradient
529       implicit real*8 (a-h,o-z)
530       include 'DIMENSIONS'
531 #ifndef ISNAN
532       external proc_proc
533 #ifdef WINPGI
534 cMS$ATTRIBUTES C ::  proc_proc
535 #endif
536 #endif
537 #ifdef MPI
538       include 'mpif.h'
539 #endif
540       double precision gradbufc(3,maxres),gradbufx(3,maxres),
541      &  glocbuf(4*maxres),gradbufc_sum(3,maxres),gloc_scbuf(3,maxres)
542       include 'COMMON.SETUP'
543       include 'COMMON.IOUNITS'
544       include 'COMMON.FFIELD'
545       include 'COMMON.DERIV'
546       include 'COMMON.INTERACT'
547       include 'COMMON.SBRIDGE'
548       include 'COMMON.CHAIN'
549       include 'COMMON.VAR'
550       include 'COMMON.CONTROL'
551       include 'COMMON.TIME1'
552       include 'COMMON.MAXGRAD'
553       include 'COMMON.SCCOR'
554       include 'COMMON.MD'
555 #ifdef TIMING
556 #ifdef MPI
557       time01=MPI_Wtime()
558 #else
559       time01=tcpu()
560 #endif
561 #endif
562 #ifdef DEBUG
563       write (iout,*) "sum_gradient gvdwc, gvdwx"
564       do i=1,nres
565         write (iout,'(i3,3f10.5,5x,3f10.5,5x,3f10.5,5x,3f10.5)') 
566      &   i,(gvdwx(j,i),j=1,3),(gvdwcT(j,i),j=1,3),(gvdwc(j,i),j=1,3),
567      &   (gvdwcT(j,i),j=1,3)
568       enddo
569       call flush(iout)
570 #endif
571 #ifdef MPI
572 C FG slaves call the following matching MPI_Bcast in ERGASTULUM
573         if (nfgtasks.gt.1 .and. fg_rank.eq.0) 
574      &    call MPI_Bcast(1,1,MPI_INTEGER,king,FG_COMM,IERROR)
575 #endif
576 C
577 C 9/29/08 AL Transform parts of gradients in site coordinates to the gradient
578 C            in virtual-bond-vector coordinates
579 C
580 #ifdef DEBUG
581 c      write (iout,*) "gel_loc gel_loc_long and gel_loc_loc"
582 c      do i=1,nres-1
583 c        write (iout,'(i5,3f10.5,2x,3f10.5,2x,f10.5)') 
584 c     &   i,(gel_loc(j,i),j=1,3),(gel_loc_long(j,i),j=1,3),gel_loc_loc(i)
585 c      enddo
586 c      write (iout,*) "gel_loc_tur3 gel_loc_turn4"
587 c      do i=1,nres-1
588 c        write (iout,'(i5,3f10.5,2x,f10.5)') 
589 c     &  i,(gcorr4_turn(j,i),j=1,3),gel_loc_turn4(i)
590 c      enddo
591       write (iout,*) "gradcorr5 gradcorr5_long gradcorr5_loc"
592       do i=1,nres
593         write (iout,'(i3,3f10.5,5x,3f10.5,5x,f10.5)') 
594      &   i,(gradcorr5(j,i),j=1,3),(gradcorr5_long(j,i),j=1,3),
595      &   g_corr5_loc(i)
596       enddo
597       call flush(iout)
598 #endif
599 #ifdef SPLITELE
600 #ifdef TSCSC
601       do i=1,nct
602         do j=1,3
603           gradbufc(j,i)=wsc*gvdwc(j,i)+wsc*wscT*gvdwcT(j,i)+
604      &                wscp*(gvdwc_scp(j,i)+gvdwc_scpp(j,i))+
605      &                welec*gelc_long(j,i)+wvdwpp*gvdwpp(j,i)+
606      &                wel_loc*gel_loc_long(j,i)+
607      &                wcorr*gradcorr_long(j,i)+
608      &                wcorr5*gradcorr5_long(j,i)+
609      &                wcorr6*gradcorr6_long(j,i)+
610      &                wturn6*gcorr6_turn_long(j,i)+
611      &                wstrain*ghpbc(j,i)+
612      &                wdfa_dist*gdfad(j,i)+
613      &                wdfa_tor*gdfat(j,i)+
614      &                wdfa_nei*gdfan(j,i)+
615      &                wdfa_beta*gdfab(j,i)
616         enddo
617       enddo 
618 #else
619       do i=1,nct
620         do j=1,3
621           gradbufc(j,i)=wsc*gvdwc(j,i)+
622      &                wscp*(gvdwc_scp(j,i)+gvdwc_scpp(j,i))+
623      &                welec*gelc_long(j,i)+wvdwpp*gvdwpp(j,i)+
624      &                wel_loc*gel_loc_long(j,i)+
625      &                wcorr*gradcorr_long(j,i)+
626      &                wcorr5*gradcorr5_long(j,i)+
627      &                wcorr6*gradcorr6_long(j,i)+
628      &                wturn6*gcorr6_turn_long(j,i)+
629      &                wstrain*ghpbc(j,i)+
630      &                wdfa_dist*gdfad(j,i)+
631      &                wdfa_tor*gdfat(j,i)+
632      &                wdfa_nei*gdfan(j,i)+
633      &                wdfa_beta*gdfab(j,i)
634         enddo
635       enddo 
636 #endif
637 #else
638       do i=1,nct
639         do j=1,3
640           gradbufc(j,i)=wsc*gvdwc(j,i)+
641      &                wscp*(gvdwc_scp(j,i)+gvdwc_scpp(j,i))+
642      &                welec*gelc_long(j,i)+
643      &                wbond*gradb(j,i)+
644      &                wel_loc*gel_loc_long(j,i)+
645      &                wcorr*gradcorr_long(j,i)+
646      &                wcorr5*gradcorr5_long(j,i)+
647      &                wcorr6*gradcorr6_long(j,i)+
648      &                wturn6*gcorr6_turn_long(j,i)+
649      &                wstrain*ghpbc(j,i)+
650      &                wdfa_dist*gdfad(j,i)+
651      &                wdfa_tor*gdfat(j,i)+
652      &                wdfa_nei*gdfan(j,i)+
653      &                wdfa_beta*gdfab(j,i)
654         enddo
655       enddo 
656 #endif
657 #ifdef MPI
658       if (nfgtasks.gt.1) then
659       time00=MPI_Wtime()
660 #ifdef DEBUG
661       write (iout,*) "gradbufc before allreduce"
662       do i=1,nres
663         write (iout,'(i3,3f10.5)') i,(gradbufc(j,i),j=1,3)
664       enddo
665       call flush(iout)
666 #endif
667       do i=1,nres
668         do j=1,3
669           gradbufc_sum(j,i)=gradbufc(j,i)
670         enddo
671       enddo
672 c      call MPI_AllReduce(gradbufc(1,1),gradbufc_sum(1,1),3*nres,
673 c     &    MPI_DOUBLE_PRECISION,MPI_SUM,FG_COMM,IERR)
674 c      time_reduce=time_reduce+MPI_Wtime()-time00
675 #ifdef DEBUG
676 c      write (iout,*) "gradbufc_sum after allreduce"
677 c      do i=1,nres
678 c        write (iout,'(i3,3f10.5)') i,(gradbufc_sum(j,i),j=1,3)
679 c      enddo
680 c      call flush(iout)
681 #endif
682 #ifdef TIMING
683 c      time_allreduce=time_allreduce+MPI_Wtime()-time00
684 #endif
685       do i=nnt,nres
686         do k=1,3
687           gradbufc(k,i)=0.0d0
688         enddo
689       enddo
690 #ifdef DEBUG
691       write (iout,*) "igrad_start",igrad_start," igrad_end",igrad_end
692       write (iout,*) (i," jgrad_start",jgrad_start(i),
693      &                  " jgrad_end  ",jgrad_end(i),
694      &                  i=igrad_start,igrad_end)
695 #endif
696 c
697 c Obsolete and inefficient code; we can make the effort O(n) and, therefore,
698 c do not parallelize this part.
699 c
700 c      do i=igrad_start,igrad_end
701 c        do j=jgrad_start(i),jgrad_end(i)
702 c          do k=1,3
703 c            gradbufc(k,i)=gradbufc(k,i)+gradbufc_sum(k,j)
704 c          enddo
705 c        enddo
706 c      enddo
707       do j=1,3
708         gradbufc(j,nres-1)=gradbufc_sum(j,nres)
709       enddo
710       do i=nres-2,nnt,-1
711         do j=1,3
712           gradbufc(j,i)=gradbufc(j,i+1)+gradbufc_sum(j,i+1)
713         enddo
714       enddo
715 #ifdef DEBUG
716       write (iout,*) "gradbufc after summing"
717       do i=1,nres
718         write (iout,'(i3,3f10.5)') i,(gradbufc(j,i),j=1,3)
719       enddo
720       call flush(iout)
721 #endif
722       else
723 #endif
724 #ifdef DEBUG
725       write (iout,*) "gradbufc"
726       do i=1,nres
727         write (iout,'(i3,3f10.5)') i,(gradbufc(j,i),j=1,3)
728       enddo
729       call flush(iout)
730 #endif
731       do i=1,nres
732         do j=1,3
733           gradbufc_sum(j,i)=gradbufc(j,i)
734           gradbufc(j,i)=0.0d0
735         enddo
736       enddo
737       do j=1,3
738         gradbufc(j,nres-1)=gradbufc_sum(j,nres)
739       enddo
740       do i=nres-2,nnt,-1
741         do j=1,3
742           gradbufc(j,i)=gradbufc(j,i+1)+gradbufc_sum(j,i+1)
743         enddo
744       enddo
745 c      do i=nnt,nres-1
746 c        do k=1,3
747 c          gradbufc(k,i)=0.0d0
748 c        enddo
749 c        do j=i+1,nres
750 c          do k=1,3
751 c            gradbufc(k,i)=gradbufc(k,i)+gradbufc(k,j)
752 c          enddo
753 c        enddo
754 c      enddo
755 #ifdef DEBUG
756       write (iout,*) "gradbufc after summing"
757       do i=1,nres
758         write (iout,'(i3,3f10.5)') i,(gradbufc(j,i),j=1,3)
759       enddo
760       call flush(iout)
761 #endif
762 #ifdef MPI
763       endif
764 #endif
765       do k=1,3
766         gradbufc(k,nres)=0.0d0
767       enddo
768       do i=1,nct
769         do j=1,3
770 #ifdef SPLITELE
771           gradc(j,i,icg)=gradbufc(j,i)+welec*gelc(j,i)+
772      &                wel_loc*gel_loc(j,i)+
773      &                0.5d0*(wscp*gvdwc_scpp(j,i)+
774      &                welec*gelc_long(j,i)+wvdwpp*gvdwpp(j,i)+
775      &                wel_loc*gel_loc_long(j,i)+
776      &                wcorr*gradcorr_long(j,i)+
777      &                wcorr5*gradcorr5_long(j,i)+
778      &                wcorr6*gradcorr6_long(j,i)+
779      &                wturn6*gcorr6_turn_long(j,i))+
780      &                wbond*gradb(j,i)+
781      &                wcorr*gradcorr(j,i)+
782      &                wturn3*gcorr3_turn(j,i)+
783      &                wturn4*gcorr4_turn(j,i)+
784      &                wcorr5*gradcorr5(j,i)+
785      &                wcorr6*gradcorr6(j,i)+
786      &                wturn6*gcorr6_turn(j,i)+
787      &                wsccor*gsccorc(j,i)
788      &               +wscloc*gscloc(j,i)
789 #else
790           gradc(j,i,icg)=gradbufc(j,i)+welec*gelc(j,i)+
791      &                wel_loc*gel_loc(j,i)+
792      &                0.5d0*(wscp*gvdwc_scpp(j,i)+
793      &                welec*gelc_long(j,i)+
794      &                wel_loc*gel_loc_long(j,i)+
795      &                wcorr*gcorr_long(j,i)+
796      &                wcorr5*gradcorr5_long(j,i)+
797      &                wcorr6*gradcorr6_long(j,i)+
798      &                wturn6*gcorr6_turn_long(j,i))+
799      &                wbond*gradb(j,i)+
800      &                wcorr*gradcorr(j,i)+
801      &                wturn3*gcorr3_turn(j,i)+
802      &                wturn4*gcorr4_turn(j,i)+
803      &                wcorr5*gradcorr5(j,i)+
804      &                wcorr6*gradcorr6(j,i)+
805      &                wturn6*gcorr6_turn(j,i)+
806      &                wsccor*gsccorc(j,i)
807      &               +wscloc*gscloc(j,i)
808 #endif
809 #ifdef TSCSC
810           gradx(j,i,icg)=wsc*gvdwx(j,i)+wsc*wscT*gvdwxT(j,i)+
811      &                  wscp*gradx_scp(j,i)+
812      &                  wbond*gradbx(j,i)+
813      &                  wstrain*ghpbx(j,i)+wcorr*gradxorr(j,i)+
814      &                  wsccor*gsccorx(j,i)
815      &                 +wscloc*gsclocx(j,i)
816 #else
817           gradx(j,i,icg)=wsc*gvdwx(j,i)+wscp*gradx_scp(j,i)+
818      &                  wbond*gradbx(j,i)+
819      &                  wstrain*ghpbx(j,i)+wcorr*gradxorr(j,i)+
820      &                  wsccor*gsccorx(j,i)
821      &                 +wscloc*gsclocx(j,i)
822 #endif
823         enddo
824       enddo 
825       if (constr_homology.gt.0.and.waga_homology(iset).ne.0d0) then
826         do i=1,nct
827           do j=1,3
828             gradc(j,i,icg)=gradc(j,i,icg)+duscdiff(j,i)
829             gradx(j,i,icg)=gradx(j,i,icg)+duscdiffx(j,i)
830           enddo
831         enddo
832       endif
833 #ifdef DEBUG
834       write (iout,*) "gloc before adding corr"
835       do i=1,4*nres
836         write (iout,*) i,gloc(i,icg)
837       enddo
838 #endif
839       do i=1,nres-3
840         gloc(i,icg)=gloc(i,icg)+wcorr*gcorr_loc(i)
841      &   +wcorr5*g_corr5_loc(i)
842      &   +wcorr6*g_corr6_loc(i)
843      &   +wturn4*gel_loc_turn4(i)
844      &   +wturn3*gel_loc_turn3(i)
845      &   +wturn6*gel_loc_turn6(i)
846      &   +wel_loc*gel_loc_loc(i)
847       enddo
848 #ifdef DEBUG
849       write (iout,*) "gloc after adding corr"
850       do i=1,4*nres
851         write (iout,*) i,gloc(i,icg)
852       enddo
853 #endif
854 #ifdef MPI
855       if (nfgtasks.gt.1) then
856         do j=1,3
857           do i=1,nres
858             gradbufc(j,i)=gradc(j,i,icg)
859             gradbufx(j,i)=gradx(j,i,icg)
860           enddo
861         enddo
862         do i=1,4*nres
863           glocbuf(i)=gloc(i,icg)
864         enddo
865 #ifdef DEBUG
866       write (iout,*) "gloc_sc before reduce"
867       do i=1,nres
868        do j=1,3
869         write (iout,*) i,j,gloc_sc(j,i,icg)
870        enddo
871       enddo
872 #endif
873         do i=1,nres
874          do j=1,3
875           gloc_scbuf(j,i)=gloc_sc(j,i,icg)
876          enddo
877         enddo
878         time00=MPI_Wtime()
879         call MPI_Barrier(FG_COMM,IERR)
880         time_barrier_g=time_barrier_g+MPI_Wtime()-time00
881         time00=MPI_Wtime()
882         call MPI_Reduce(gradbufc(1,1),gradc(1,1,icg),3*nres,
883      &    MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
884         call MPI_Reduce(gradbufx(1,1),gradx(1,1,icg),3*nres,
885      &    MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
886         call MPI_Reduce(glocbuf(1),gloc(1,icg),4*nres,
887      &    MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
888         call MPI_Reduce(gloc_scbuf(1,1),gloc_sc(1,1,icg),3*nres,
889      &    MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
890         time_reduce=time_reduce+MPI_Wtime()-time00
891 #ifdef DEBUG
892       write (iout,*) "gloc_sc after reduce"
893       do i=1,nres
894        do j=1,3
895         write (iout,*) i,j,gloc_sc(j,i,icg)
896        enddo
897       enddo
898 #endif
899 #ifdef DEBUG
900       write (iout,*) "gloc after reduce"
901       do i=1,4*nres
902         write (iout,*) i,gloc(i,icg)
903       enddo
904 #endif
905       endif
906 #endif
907       if (gnorm_check) then
908 c
909 c Compute the maximum elements of the gradient
910 c
911       gvdwc_max=0.0d0
912       gvdwc_scp_max=0.0d0
913       gelc_max=0.0d0
914       gvdwpp_max=0.0d0
915       gradb_max=0.0d0
916       ghpbc_max=0.0d0
917       gradcorr_max=0.0d0
918       gel_loc_max=0.0d0
919       gcorr3_turn_max=0.0d0
920       gcorr4_turn_max=0.0d0
921       gradcorr5_max=0.0d0
922       gradcorr6_max=0.0d0
923       gcorr6_turn_max=0.0d0
924       gsccorc_max=0.0d0
925       gscloc_max=0.0d0
926       gvdwx_max=0.0d0
927       gradx_scp_max=0.0d0
928       ghpbx_max=0.0d0
929       gradxorr_max=0.0d0
930       gsccorx_max=0.0d0
931       gsclocx_max=0.0d0
932       do i=1,nct
933         gvdwc_norm=dsqrt(scalar(gvdwc(1,i),gvdwc(1,i)))
934         if (gvdwc_norm.gt.gvdwc_max) gvdwc_max=gvdwc_norm
935 #ifdef TSCSC
936         gvdwc_norm=dsqrt(scalar(gvdwcT(1,i),gvdwcT(1,i)))
937         if (gvdwc_norm.gt.gvdwc_max) gvdwc_max=gvdwc_norm          
938 #endif
939         gvdwc_scp_norm=dsqrt(scalar(gvdwc_scp(1,i),gvdwc_scp(1,i)))
940         if (gvdwc_scp_norm.gt.gvdwc_scp_max) 
941      &   gvdwc_scp_max=gvdwc_scp_norm
942         gelc_norm=dsqrt(scalar(gelc(1,i),gelc(1,i)))
943         if (gelc_norm.gt.gelc_max) gelc_max=gelc_norm
944         gvdwpp_norm=dsqrt(scalar(gvdwpp(1,i),gvdwpp(1,i)))
945         if (gvdwpp_norm.gt.gvdwpp_max) gvdwpp_max=gvdwpp_norm
946         gradb_norm=dsqrt(scalar(gradb(1,i),gradb(1,i)))
947         if (gradb_norm.gt.gradb_max) gradb_max=gradb_norm
948         ghpbc_norm=dsqrt(scalar(ghpbc(1,i),ghpbc(1,i)))
949         if (ghpbc_norm.gt.ghpbc_max) ghpbc_max=ghpbc_norm
950         gradcorr_norm=dsqrt(scalar(gradcorr(1,i),gradcorr(1,i)))
951         if (gradcorr_norm.gt.gradcorr_max) gradcorr_max=gradcorr_norm
952         gel_loc_norm=dsqrt(scalar(gel_loc(1,i),gel_loc(1,i)))
953         if (gel_loc_norm.gt.gel_loc_max) gel_loc_max=gel_loc_norm
954         gcorr3_turn_norm=dsqrt(scalar(gcorr3_turn(1,i),
955      &    gcorr3_turn(1,i)))
956         if (gcorr3_turn_norm.gt.gcorr3_turn_max) 
957      &    gcorr3_turn_max=gcorr3_turn_norm
958         gcorr4_turn_norm=dsqrt(scalar(gcorr4_turn(1,i),
959      &    gcorr4_turn(1,i)))
960         if (gcorr4_turn_norm.gt.gcorr4_turn_max) 
961      &    gcorr4_turn_max=gcorr4_turn_norm
962         gradcorr5_norm=dsqrt(scalar(gradcorr5(1,i),gradcorr5(1,i)))
963         if (gradcorr5_norm.gt.gradcorr5_max) 
964      &    gradcorr5_max=gradcorr5_norm
965         gradcorr6_norm=dsqrt(scalar(gradcorr6(1,i),gradcorr6(1,i)))
966         if (gradcorr6_norm.gt.gradcorr6_max) gcorr6_max=gradcorr6_norm
967         gcorr6_turn_norm=dsqrt(scalar(gcorr6_turn(1,i),
968      &    gcorr6_turn(1,i)))
969         if (gcorr6_turn_norm.gt.gcorr6_turn_max) 
970      &    gcorr6_turn_max=gcorr6_turn_norm
971         gsccorr_norm=dsqrt(scalar(gsccorc(1,i),gsccorc(1,i)))
972         if (gsccorr_norm.gt.gsccorr_max) gsccorr_max=gsccorr_norm
973         gscloc_norm=dsqrt(scalar(gscloc(1,i),gscloc(1,i)))
974         if (gscloc_norm.gt.gscloc_max) gscloc_max=gscloc_norm
975         gvdwx_norm=dsqrt(scalar(gvdwx(1,i),gvdwx(1,i)))
976         if (gvdwx_norm.gt.gvdwx_max) gvdwx_max=gvdwx_norm
977 #ifdef TSCSC
978         gvdwx_norm=dsqrt(scalar(gvdwxT(1,i),gvdwxT(1,i)))
979         if (gvdwx_norm.gt.gvdwx_max) gvdwx_max=gvdwx_norm
980 #endif
981         gradx_scp_norm=dsqrt(scalar(gradx_scp(1,i),gradx_scp(1,i)))
982         if (gradx_scp_norm.gt.gradx_scp_max) 
983      &    gradx_scp_max=gradx_scp_norm
984         ghpbx_norm=dsqrt(scalar(ghpbx(1,i),ghpbx(1,i)))
985         if (ghpbx_norm.gt.ghpbx_max) ghpbx_max=ghpbx_norm
986         gradxorr_norm=dsqrt(scalar(gradxorr(1,i),gradxorr(1,i)))
987         if (gradxorr_norm.gt.gradxorr_max) gradxorr_max=gradxorr_norm
988         gsccorrx_norm=dsqrt(scalar(gsccorx(1,i),gsccorx(1,i)))
989         if (gsccorrx_norm.gt.gsccorrx_max) gsccorrx_max=gsccorrx_norm
990         gsclocx_norm=dsqrt(scalar(gsclocx(1,i),gsclocx(1,i)))
991         if (gsclocx_norm.gt.gsclocx_max) gsclocx_max=gsclocx_norm
992       enddo 
993       if (gradout) then
994 #ifdef AIX
995         open(istat,file=statname,position="append")
996 #else
997         open(istat,file=statname,access="append")
998 #endif
999         write (istat,'(1h#,21f10.2)') gvdwc_max,gvdwc_scp_max,
1000      &     gelc_max,gvdwpp_max,gradb_max,ghpbc_max,
1001      &     gradcorr_max,gel_loc_max,gcorr3_turn_max,gcorr4_turn_max,
1002      &     gradcorr5_max,gradcorr6_max,gcorr6_turn_max,gsccorc_max,
1003      &     gscloc_max,gvdwx_max,gradx_scp_max,ghpbx_max,gradxorr_max,
1004      &     gsccorx_max,gsclocx_max
1005         close(istat)
1006         if (gvdwc_max.gt.1.0d4) then
1007           write (iout,*) "gvdwc gvdwx gradb gradbx"
1008           do i=nnt,nct
1009             write(iout,'(i5,4(3f10.2,5x))') i,(gvdwc(j,i),gvdwx(j,i),
1010      &        gradb(j,i),gradbx(j,i),j=1,3)
1011           enddo
1012           call pdbout(0.0d0,'cipiszcze',iout)
1013           call flush(iout)
1014         endif
1015       endif
1016       endif
1017 #ifdef DEBUG
1018       write (iout,*) "gradc gradx gloc"
1019       do i=1,nres
1020         write (iout,'(i5,3f10.5,5x,3f10.5,5x,f10.5)') 
1021      &   i,(gradc(j,i,icg),j=1,3),(gradx(j,i,icg),j=1,3),gloc(i,icg)
1022       enddo 
1023 #endif
1024 #ifdef TIMING
1025 #ifdef MPI
1026       time_sumgradient=time_sumgradient+MPI_Wtime()-time01
1027 #else
1028       time_sumgradient=time_sumgradient+tcpu()-time01
1029 #endif
1030 #endif
1031       return
1032       end
1033 c-------------------------------------------------------------------------------
1034       subroutine rescale_weights(t_bath)
1035       implicit real*8 (a-h,o-z)
1036       include 'DIMENSIONS'
1037       include 'COMMON.IOUNITS'
1038       include 'COMMON.FFIELD'
1039       include 'COMMON.SBRIDGE'
1040       double precision kfac /2.4d0/
1041       double precision x,x2,x3,x4,x5,licznik /1.12692801104297249644/
1042 c      facT=temp0/t_bath
1043 c      facT=2*temp0/(t_bath+temp0)
1044       if (rescale_mode.eq.0) then
1045         facT=1.0d0
1046         facT2=1.0d0
1047         facT3=1.0d0
1048         facT4=1.0d0
1049         facT5=1.0d0
1050       else if (rescale_mode.eq.1) then
1051         facT=kfac/(kfac-1.0d0+t_bath/temp0)
1052         facT2=kfac**2/(kfac**2-1.0d0+(t_bath/temp0)**2)
1053         facT3=kfac**3/(kfac**3-1.0d0+(t_bath/temp0)**3)
1054         facT4=kfac**4/(kfac**4-1.0d0+(t_bath/temp0)**4)
1055         facT5=kfac**5/(kfac**5-1.0d0+(t_bath/temp0)**5)
1056       else if (rescale_mode.eq.2) then
1057         x=t_bath/temp0
1058         x2=x*x
1059         x3=x2*x
1060         x4=x3*x
1061         x5=x4*x
1062         facT=licznik/dlog(dexp(x)+dexp(-x))
1063         facT2=licznik/dlog(dexp(x2)+dexp(-x2))
1064         facT3=licznik/dlog(dexp(x3)+dexp(-x3))
1065         facT4=licznik/dlog(dexp(x4)+dexp(-x4))
1066         facT5=licznik/dlog(dexp(x5)+dexp(-x5))
1067       else
1068         write (iout,*) "Wrong RESCALE_MODE",rescale_mode
1069         write (*,*) "Wrong RESCALE_MODE",rescale_mode
1070 #ifdef MPI
1071        call MPI_Finalize(MPI_COMM_WORLD,IERROR)
1072 #endif
1073        stop 555
1074       endif
1075       welec=weights(3)*fact
1076       wcorr=weights(4)*fact3
1077       wcorr5=weights(5)*fact4
1078       wcorr6=weights(6)*fact5
1079       wel_loc=weights(7)*fact2
1080       wturn3=weights(8)*fact2
1081       wturn4=weights(9)*fact3
1082       wturn6=weights(10)*fact5
1083       wtor=weights(13)*fact
1084       wtor_d=weights(14)*fact2
1085       wsccor=weights(21)*fact
1086 #ifdef TSCSC
1087 c      wsct=t_bath/temp0
1088       wsct=(320.0+80.0*dtanh((t_bath-320.0)/80.0))/320.0
1089 #endif
1090       return
1091       end
1092 C------------------------------------------------------------------------
1093       subroutine enerprint(energia)
1094       implicit real*8 (a-h,o-z)
1095       include 'DIMENSIONS'
1096       include 'COMMON.IOUNITS'
1097       include 'COMMON.FFIELD'
1098       include 'COMMON.SBRIDGE'
1099       include 'COMMON.MD'
1100       double precision energia(0:n_ene)
1101       etot=energia(0)
1102 #ifdef TSCSC
1103       evdw=energia(22)+wsct*energia(23)
1104 #else
1105       evdw=energia(1)
1106 #endif
1107       evdw2=energia(2)
1108 #ifdef SCP14
1109       evdw2=energia(2)+energia(18)
1110 #else
1111       evdw2=energia(2)
1112 #endif
1113       ees=energia(3)
1114 #ifdef SPLITELE
1115       evdw1=energia(16)
1116 #endif
1117       ecorr=energia(4)
1118       ecorr5=energia(5)
1119       ecorr6=energia(6)
1120       eel_loc=energia(7)
1121       eello_turn3=energia(8)
1122       eello_turn4=energia(9)
1123       eello_turn6=energia(10)
1124       ebe=energia(11)
1125       escloc=energia(12)
1126       etors=energia(13)
1127       etors_d=energia(14)
1128       ehpb=energia(15)
1129       edihcnstr=energia(19)
1130       estr=energia(17)
1131       Uconst=energia(20)
1132       esccor=energia(21)
1133       ehomology_constr=energia(24)
1134 C     Bartek
1135       edfadis = energia(25)
1136       edfator = energia(26)
1137       edfanei = energia(27)
1138       edfabet = energia(28)
1139
1140 #ifdef SPLITELE
1141       write (iout,10) evdw,wsc,evdw2,wscp,ees,welec,evdw1,wvdwpp,
1142      &  estr,wbond,ebe,wang,
1143      &  escloc,wscloc,etors,wtor,etors_d,wtor_d,ehpb,wstrain,
1144      &  ecorr,wcorr,
1145      &  ecorr5,wcorr5,ecorr6,wcorr6,eel_loc,wel_loc,eello_turn3,wturn3,
1146      &  eello_turn4,wturn4,eello_turn6,wturn6,esccor,wsccor,
1147      &  edihcnstr,ehomology_constr, ebr*nss,
1148      &  Uconst,edfadis,wdfa_dist,edfator,wdfa_tor,edfanei,wdfa_nei,
1149      &  edfabet,wdfa_beta,etot
1150    10 format (/'Virtual-chain energies:'//
1151      & 'EVDW=  ',1pE16.6,' WEIGHT=',1pE16.6,' (SC-SC)'/
1152      & 'EVDW2= ',1pE16.6,' WEIGHT=',1pE16.6,' (SC-p)'/
1153      & 'EES=   ',1pE16.6,' WEIGHT=',1pE16.6,' (p-p)'/
1154      & 'EVDWPP=',1pE16.6,' WEIGHT=',1pE16.6,' (p-p VDW)'/
1155      & 'ESTR=  ',1pE16.6,' WEIGHT=',1pE16.6,' (stretching)'/
1156      & 'EBE=   ',1pE16.6,' WEIGHT=',1pE16.6,' (bending)'/
1157      & 'ESC=   ',1pE16.6,' WEIGHT=',1pE16.6,' (SC local)'/
1158      & 'ETORS= ',1pE16.6,' WEIGHT=',1pE16.6,' (torsional)'/
1159      & 'ETORSD=',1pE16.6,' WEIGHT=',1pE16.6,' (double torsional)'/
1160      & 'EHPB=  ',1pE16.6,' WEIGHT=',1pE16.6,
1161      & ' (SS bridges & dist. cnstr.)'/
1162      & 'ECORR4=',1pE16.6,' WEIGHT=',1pE16.6,' (multi-body)'/
1163      & 'ECORR5=',1pE16.6,' WEIGHT=',1pE16.6,' (multi-body)'/
1164      & 'ECORR6=',1pE16.6,' WEIGHT=',1pE16.6,' (multi-body)'/
1165      & 'EELLO= ',1pE16.6,' WEIGHT=',1pE16.6,' (electrostatic-local)'/
1166      & 'ETURN3=',1pE16.6,' WEIGHT=',1pE16.6,' (turns, 3rd order)'/
1167      & 'ETURN4=',1pE16.6,' WEIGHT=',1pE16.6,' (turns, 4th order)'/
1168      & 'ETURN6=',1pE16.6,' WEIGHT=',1pE16.6,' (turns, 6th order)'/
1169      & 'ESCCOR=',1pE16.6,' WEIGHT=',1pE16.6,' (backbone-rotamer corr)'/
1170      & 'EDIHC= ',1pE16.6,' (dihedral angle constraints)'/
1171      & 'H_CONS=',1pE16.6,' (Homology model constraints energy)'/
1172      & 'ESS=   ',1pE16.6,' (disulfide-bridge intrinsic energy)'/
1173      & 'UCONST= ',1pE16.6,' (Constraint energy)'/ 
1174      & 'EDFAD= ',1pE16.6,' WEIGHT=',1pE16.6,' (DFA distance energy)'/ 
1175      & 'EDFAT= ',1pE16.6,' WEIGHT=',1pE16.6,' (DFA torsion energy)'/ 
1176      & 'EDFAN= ',1pE16.6,' WEIGHT=',1pE16.6,' (DFA NCa energy)'/ 
1177      & 'EDFAB= ',1pE16.6,' WEIGHT=',1pE16.6,' (DFA Beta energy)'/ 
1178      & 'ETOT=  ',1pE16.6,' (total)')
1179 #else
1180       write (iout,10) evdw,wsc,evdw2,wscp,ees,welec,
1181      &  estr,wbond,ebe,wang,
1182      &  escloc,wscloc,etors,wtor,etors_d,wtor_d,ehpb,wstrain,
1183      &  ecorr,wcorr,
1184      &  ecorr5,wcorr5,ecorr6,wcorr6,eel_loc,wel_loc,eello_turn3,wturn3,
1185      &  eello_turn4,wturn4,eello_turn6,wturn6,esccor,wsccro,edihcnstr,
1186      &  ehomology_constr,ebr*nss,Uconst,edfadis,wdfa_dist,edfator,
1187      &  wdfa_tor,edfanei,wdfa_nei,edfabet,wdfa_beta,
1188      &  etot
1189    10 format (/'Virtual-chain energies:'//
1190      & 'EVDW=  ',1pE16.6,' WEIGHT=',1pD16.6,' (SC-SC)'/
1191      & 'EVDW2= ',1pE16.6,' WEIGHT=',1pD16.6,' (SC-p)'/
1192      & 'EES=   ',1pE16.6,' WEIGHT=',1pD16.6,' (p-p)'/
1193      & 'ESTR=  ',1pE16.6,' WEIGHT=',1pD16.6,' (stretching)'/
1194      & 'EBE=   ',1pE16.6,' WEIGHT=',1pD16.6,' (bending)'/
1195      & 'ESC=   ',1pE16.6,' WEIGHT=',1pD16.6,' (SC local)'/
1196      & 'ETORS= ',1pE16.6,' WEIGHT=',1pD16.6,' (torsional)'/
1197      & 'ETORSD=',1pE16.6,' WEIGHT=',1pD16.6,' (double torsional)'/
1198      & 'EHBP=  ',1pE16.6,' WEIGHT=',1pD16.6,
1199      & ' (SS bridges & dist. cnstr.)'/
1200      & 'ECORR4=',1pE16.6,' WEIGHT=',1pD16.6,' (multi-body)'/
1201      & 'ECORR5=',1pE16.6,' WEIGHT=',1pD16.6,' (multi-body)'/
1202      & 'ECORR6=',1pE16.6,' WEIGHT=',1pD16.6,' (multi-body)'/
1203      & 'EELLO= ',1pE16.6,' WEIGHT=',1pD16.6,' (electrostatic-local)'/
1204      & 'ETURN3=',1pE16.6,' WEIGHT=',1pD16.6,' (turns, 3rd order)'/
1205      & 'ETURN4=',1pE16.6,' WEIGHT=',1pD16.6,' (turns, 4th order)'/
1206      & 'ETURN6=',1pE16.6,' WEIGHT=',1pD16.6,' (turns, 6th order)'/
1207      & 'ESCCOR=',1pE16.6,' WEIGHT=',1pD16.6,' (backbone-rotamer corr)'/
1208      & 'EDIHC= ',1pE16.6,' (dihedral angle constraints)'/
1209      & 'H_CONS=',1pE16.6,' (Homology model constraints energy)'/
1210      & 'ESS=   ',1pE16.6,' (disulfide-bridge intrinsic energy)'/
1211      & 'UCONST=',1pE16.6,' (Constraint energy)'/ 
1212      & 'EDFAD= ',1pE16.6,' WEIGHT=',1pD16.6,' (DFA distance energy)'/ 
1213      & 'EDFAT= ',1pE16.6,' WEIGHT=',1pD16.6,' (DFA torsion energy)'/ 
1214      & 'EDFAN= ',1pE16.6,' WEIGHT=',1pD16.6,' (DFA NCa energy)'/ 
1215      & 'EDFAB= ',1pE16.6,' WEIGHT=',1pD16.6,' (DFA Beta energy)'/ 
1216      & 'ETOT=  ',1pE16.6,' (total)')
1217 #endif
1218       return
1219       end
1220 C-----------------------------------------------------------------------
1221       subroutine elj(evdw,evdw_p,evdw_m)
1222 C
1223 C This subroutine calculates the interaction energy of nonbonded side chains
1224 C assuming the LJ potential of interaction.
1225 C
1226       implicit real*8 (a-h,o-z)
1227       include 'DIMENSIONS'
1228       parameter (accur=1.0d-10)
1229       include 'COMMON.GEO'
1230       include 'COMMON.VAR'
1231       include 'COMMON.LOCAL'
1232       include 'COMMON.CHAIN'
1233       include 'COMMON.DERIV'
1234       include 'COMMON.INTERACT'
1235       include 'COMMON.TORSION'
1236       include 'COMMON.SBRIDGE'
1237       include 'COMMON.NAMES'
1238       include 'COMMON.IOUNITS'
1239       include 'COMMON.CONTACTS'
1240       dimension gg(3)
1241 c      write(iout,*)'Entering ELJ nnt=',nnt,' nct=',nct,' expon=',expon
1242       evdw=0.0D0
1243       do i=iatsc_s,iatsc_e
1244         itypi=itype(i)
1245         itypi1=itype(i+1)
1246         xi=c(1,nres+i)
1247         yi=c(2,nres+i)
1248         zi=c(3,nres+i)
1249 C Change 12/1/95
1250         num_conti=0
1251 C
1252 C Calculate SC interaction energy.
1253 C
1254         do iint=1,nint_gr(i)
1255 cd        write (iout,*) 'i=',i,' iint=',iint,' istart=',istart(i,iint),
1256 cd   &                  'iend=',iend(i,iint)
1257           do j=istart(i,iint),iend(i,iint)
1258             itypj=itype(j)
1259             xj=c(1,nres+j)-xi
1260             yj=c(2,nres+j)-yi
1261             zj=c(3,nres+j)-zi
1262 C Change 12/1/95 to calculate four-body interactions
1263             rij=xj*xj+yj*yj+zj*zj
1264             rrij=1.0D0/rij
1265 c           write (iout,*)'i=',i,' j=',j,' itypi=',itypi,' itypj=',itypj
1266             eps0ij=eps(itypi,itypj)
1267             fac=rrij**expon2
1268             e1=fac*fac*aa(itypi,itypj)
1269             e2=fac*bb(itypi,itypj)
1270             evdwij=e1+e2
1271 cd          sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1272 cd          epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1273 cd          write (iout,'(2(a3,i3,2x),6(1pd12.4)/2(3(1pd12.4),5x)/)')
1274 cd   &        restyp(itypi),i,restyp(itypj),j,aa(itypi,itypj),
1275 cd   &        bb(itypi,itypj),1.0D0/dsqrt(rrij),evdwij,epsi,sigm,
1276 cd   &        (c(k,i),k=1,3),(c(k,j),k=1,3)
1277 #ifdef TSCSC
1278             if (bb(itypi,itypj).gt.0) then
1279                evdw_p=evdw_p+evdwij
1280             else
1281                evdw_m=evdw_m+evdwij
1282             endif
1283 #else
1284             evdw=evdw+evdwij
1285 #endif
1286
1287 C Calculate the components of the gradient in DC and X
1288 C
1289             fac=-rrij*(e1+evdwij)
1290             gg(1)=xj*fac
1291             gg(2)=yj*fac
1292             gg(3)=zj*fac
1293 #ifdef TSCSC
1294             if (bb(itypi,itypj).gt.0.0d0) then
1295               do k=1,3
1296                 gvdwx(k,i)=gvdwx(k,i)-gg(k)
1297                 gvdwx(k,j)=gvdwx(k,j)+gg(k)
1298                 gvdwc(k,i)=gvdwc(k,i)-gg(k)
1299                 gvdwc(k,j)=gvdwc(k,j)+gg(k)
1300               enddo
1301             else
1302               do k=1,3
1303                 gvdwxT(k,i)=gvdwxT(k,i)-gg(k)
1304                 gvdwxT(k,j)=gvdwxT(k,j)+gg(k)
1305                 gvdwcT(k,i)=gvdwcT(k,i)-gg(k)
1306                 gvdwcT(k,j)=gvdwcT(k,j)+gg(k)
1307               enddo
1308             endif
1309 #else
1310             do k=1,3
1311               gvdwx(k,i)=gvdwx(k,i)-gg(k)
1312               gvdwx(k,j)=gvdwx(k,j)+gg(k)
1313               gvdwc(k,i)=gvdwc(k,i)-gg(k)
1314               gvdwc(k,j)=gvdwc(k,j)+gg(k)
1315             enddo
1316 #endif
1317 cgrad            do k=i,j-1
1318 cgrad              do l=1,3
1319 cgrad                gvdwc(l,k)=gvdwc(l,k)+gg(l)
1320 cgrad              enddo
1321 cgrad            enddo
1322 C
1323 C 12/1/95, revised on 5/20/97
1324 C
1325 C Calculate the contact function. The ith column of the array JCONT will 
1326 C contain the numbers of atoms that make contacts with the atom I (of numbers
1327 C greater than I). The arrays FACONT and GACONT will contain the values of
1328 C the contact function and its derivative.
1329 C
1330 C Uncomment next line, if the correlation interactions include EVDW explicitly.
1331 c           if (j.gt.i+1 .and. evdwij.le.0.0D0) then
1332 C Uncomment next line, if the correlation interactions are contact function only
1333             if (j.gt.i+1.and. eps0ij.gt.0.0D0) then
1334               rij=dsqrt(rij)
1335               sigij=sigma(itypi,itypj)
1336               r0ij=rs0(itypi,itypj)
1337 C
1338 C Check whether the SC's are not too far to make a contact.
1339 C
1340               rcut=1.5d0*r0ij
1341               call gcont(rij,rcut,1.0d0,0.2d0*rcut,fcont,fprimcont)
1342 C Add a new contact, if the SC's are close enough, but not too close (r<sigma).
1343 C
1344               if (fcont.gt.0.0D0) then
1345 C If the SC-SC distance if close to sigma, apply spline.
1346 cAdam           call gcont(-rij,-1.03d0*sigij,2.0d0*sigij,1.0d0,
1347 cAdam &             fcont1,fprimcont1)
1348 cAdam           fcont1=1.0d0-fcont1
1349 cAdam           if (fcont1.gt.0.0d0) then
1350 cAdam             fprimcont=fprimcont*fcont1+fcont*fprimcont1
1351 cAdam             fcont=fcont*fcont1
1352 cAdam           endif
1353 C Uncomment following 4 lines to have the geometric average of the epsilon0's
1354 cga             eps0ij=1.0d0/dsqrt(eps0ij)
1355 cga             do k=1,3
1356 cga               gg(k)=gg(k)*eps0ij
1357 cga             enddo
1358 cga             eps0ij=-evdwij*eps0ij
1359 C Uncomment for AL's type of SC correlation interactions.
1360 cadam           eps0ij=-evdwij
1361                 num_conti=num_conti+1
1362                 jcont(num_conti,i)=j
1363                 facont(num_conti,i)=fcont*eps0ij
1364                 fprimcont=eps0ij*fprimcont/rij
1365                 fcont=expon*fcont
1366 cAdam           gacont(1,num_conti,i)=-fprimcont*xj+fcont*gg(1)
1367 cAdam           gacont(2,num_conti,i)=-fprimcont*yj+fcont*gg(2)
1368 cAdam           gacont(3,num_conti,i)=-fprimcont*zj+fcont*gg(3)
1369 C Uncomment following 3 lines for Skolnick's type of SC correlation.
1370                 gacont(1,num_conti,i)=-fprimcont*xj
1371                 gacont(2,num_conti,i)=-fprimcont*yj
1372                 gacont(3,num_conti,i)=-fprimcont*zj
1373 cd              write (iout,'(2i5,2f10.5)') i,j,rij,facont(num_conti,i)
1374 cd              write (iout,'(2i3,3f10.5)') 
1375 cd   &           i,j,(gacont(kk,num_conti,i),kk=1,3)
1376               endif
1377             endif
1378           enddo      ! j
1379         enddo        ! iint
1380 C Change 12/1/95
1381         num_cont(i)=num_conti
1382       enddo          ! i
1383       do i=1,nct
1384         do j=1,3
1385           gvdwc(j,i)=expon*gvdwc(j,i)
1386           gvdwx(j,i)=expon*gvdwx(j,i)
1387         enddo
1388       enddo
1389 C******************************************************************************
1390 C
1391 C                              N O T E !!!
1392 C
1393 C To save time, the factor of EXPON has been extracted from ALL components
1394 C of GVDWC and GRADX. Remember to multiply them by this factor before further 
1395 C use!
1396 C
1397 C******************************************************************************
1398       return
1399       end
1400 C-----------------------------------------------------------------------------
1401       subroutine eljk(evdw,evdw_p,evdw_m)
1402 C
1403 C This subroutine calculates the interaction energy of nonbonded side chains
1404 C assuming the LJK potential of interaction.
1405 C
1406       implicit real*8 (a-h,o-z)
1407       include 'DIMENSIONS'
1408       include 'COMMON.GEO'
1409       include 'COMMON.VAR'
1410       include 'COMMON.LOCAL'
1411       include 'COMMON.CHAIN'
1412       include 'COMMON.DERIV'
1413       include 'COMMON.INTERACT'
1414       include 'COMMON.IOUNITS'
1415       include 'COMMON.NAMES'
1416       dimension gg(3)
1417       logical scheck
1418 c     print *,'Entering ELJK nnt=',nnt,' nct=',nct,' expon=',expon
1419       evdw=0.0D0
1420       do i=iatsc_s,iatsc_e
1421         itypi=itype(i)
1422         itypi1=itype(i+1)
1423         xi=c(1,nres+i)
1424         yi=c(2,nres+i)
1425         zi=c(3,nres+i)
1426 C
1427 C Calculate SC interaction energy.
1428 C
1429         do iint=1,nint_gr(i)
1430           do j=istart(i,iint),iend(i,iint)
1431             itypj=itype(j)
1432             xj=c(1,nres+j)-xi
1433             yj=c(2,nres+j)-yi
1434             zj=c(3,nres+j)-zi
1435             rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
1436             fac_augm=rrij**expon
1437             e_augm=augm(itypi,itypj)*fac_augm
1438             r_inv_ij=dsqrt(rrij)
1439             rij=1.0D0/r_inv_ij 
1440             r_shift_inv=1.0D0/(rij+r0(itypi,itypj)-sigma(itypi,itypj))
1441             fac=r_shift_inv**expon
1442             e1=fac*fac*aa(itypi,itypj)
1443             e2=fac*bb(itypi,itypj)
1444             evdwij=e_augm+e1+e2
1445 cd          sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1446 cd          epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1447 cd          write (iout,'(2(a3,i3,2x),8(1pd12.4)/2(3(1pd12.4),5x)/)')
1448 cd   &        restyp(itypi),i,restyp(itypj),j,aa(itypi,itypj),
1449 cd   &        bb(itypi,itypj),augm(itypi,itypj),epsi,sigm,
1450 cd   &        sigma(itypi,itypj),1.0D0/dsqrt(rrij),evdwij,
1451 cd   &        (c(k,i),k=1,3),(c(k,j),k=1,3)
1452 #ifdef TSCSC
1453             if (bb(itypi,itypj).gt.0) then
1454                evdw_p=evdw_p+evdwij
1455             else
1456                evdw_m=evdw_m+evdwij
1457             endif
1458 #else
1459             evdw=evdw+evdwij
1460 #endif
1461
1462 C Calculate the components of the gradient in DC and X
1463 C
1464             fac=-2.0D0*rrij*e_augm-r_inv_ij*r_shift_inv*(e1+e1+e2)
1465             gg(1)=xj*fac
1466             gg(2)=yj*fac
1467             gg(3)=zj*fac
1468 #ifdef TSCSC
1469             if (bb(itypi,itypj).gt.0.0d0) then
1470               do k=1,3
1471                 gvdwx(k,i)=gvdwx(k,i)-gg(k)
1472                 gvdwx(k,j)=gvdwx(k,j)+gg(k)
1473                 gvdwc(k,i)=gvdwc(k,i)-gg(k)
1474                 gvdwc(k,j)=gvdwc(k,j)+gg(k)
1475               enddo
1476             else
1477               do k=1,3
1478                 gvdwxT(k,i)=gvdwxT(k,i)-gg(k)
1479                 gvdwxT(k,j)=gvdwxT(k,j)+gg(k)
1480                 gvdwcT(k,i)=gvdwcT(k,i)-gg(k)
1481                 gvdwcT(k,j)=gvdwcT(k,j)+gg(k)
1482               enddo
1483             endif
1484 #else
1485             do k=1,3
1486               gvdwx(k,i)=gvdwx(k,i)-gg(k)
1487               gvdwx(k,j)=gvdwx(k,j)+gg(k)
1488               gvdwc(k,i)=gvdwc(k,i)-gg(k)
1489               gvdwc(k,j)=gvdwc(k,j)+gg(k)
1490             enddo
1491 #endif
1492 cgrad            do k=i,j-1
1493 cgrad              do l=1,3
1494 cgrad                gvdwc(l,k)=gvdwc(l,k)+gg(l)
1495 cgrad              enddo
1496 cgrad            enddo
1497           enddo      ! j
1498         enddo        ! iint
1499       enddo          ! i
1500       do i=1,nct
1501         do j=1,3
1502           gvdwc(j,i)=expon*gvdwc(j,i)
1503           gvdwx(j,i)=expon*gvdwx(j,i)
1504         enddo
1505       enddo
1506       return
1507       end
1508 C-----------------------------------------------------------------------------
1509       subroutine ebp(evdw,evdw_p,evdw_m)
1510 C
1511 C This subroutine calculates the interaction energy of nonbonded side chains
1512 C assuming the Berne-Pechukas potential of interaction.
1513 C
1514       implicit real*8 (a-h,o-z)
1515       include 'DIMENSIONS'
1516       include 'COMMON.GEO'
1517       include 'COMMON.VAR'
1518       include 'COMMON.LOCAL'
1519       include 'COMMON.CHAIN'
1520       include 'COMMON.DERIV'
1521       include 'COMMON.NAMES'
1522       include 'COMMON.INTERACT'
1523       include 'COMMON.IOUNITS'
1524       include 'COMMON.CALC'
1525       common /srutu/ icall
1526 c     double precision rrsave(maxdim)
1527       logical lprn
1528       evdw=0.0D0
1529 c     print *,'Entering EBP nnt=',nnt,' nct=',nct,' expon=',expon
1530       evdw=0.0D0
1531 c     if (icall.eq.0) then
1532 c       lprn=.true.
1533 c     else
1534         lprn=.false.
1535 c     endif
1536       ind=0
1537       do i=iatsc_s,iatsc_e
1538         itypi=itype(i)
1539         itypi1=itype(i+1)
1540         xi=c(1,nres+i)
1541         yi=c(2,nres+i)
1542         zi=c(3,nres+i)
1543         dxi=dc_norm(1,nres+i)
1544         dyi=dc_norm(2,nres+i)
1545         dzi=dc_norm(3,nres+i)
1546 c        dsci_inv=dsc_inv(itypi)
1547         dsci_inv=vbld_inv(i+nres)
1548 C
1549 C Calculate SC interaction energy.
1550 C
1551         do iint=1,nint_gr(i)
1552           do j=istart(i,iint),iend(i,iint)
1553             ind=ind+1
1554             itypj=itype(j)
1555 c            dscj_inv=dsc_inv(itypj)
1556             dscj_inv=vbld_inv(j+nres)
1557             chi1=chi(itypi,itypj)
1558             chi2=chi(itypj,itypi)
1559             chi12=chi1*chi2
1560             chip1=chip(itypi)
1561             chip2=chip(itypj)
1562             chip12=chip1*chip2
1563             alf1=alp(itypi)
1564             alf2=alp(itypj)
1565             alf12=0.5D0*(alf1+alf2)
1566 C For diagnostics only!!!
1567 c           chi1=0.0D0
1568 c           chi2=0.0D0
1569 c           chi12=0.0D0
1570 c           chip1=0.0D0
1571 c           chip2=0.0D0
1572 c           chip12=0.0D0
1573 c           alf1=0.0D0
1574 c           alf2=0.0D0
1575 c           alf12=0.0D0
1576             xj=c(1,nres+j)-xi
1577             yj=c(2,nres+j)-yi
1578             zj=c(3,nres+j)-zi
1579             dxj=dc_norm(1,nres+j)
1580             dyj=dc_norm(2,nres+j)
1581             dzj=dc_norm(3,nres+j)
1582             rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
1583 cd          if (icall.eq.0) then
1584 cd            rrsave(ind)=rrij
1585 cd          else
1586 cd            rrij=rrsave(ind)
1587 cd          endif
1588             rij=dsqrt(rrij)
1589 C Calculate the angle-dependent terms of energy & contributions to derivatives.
1590             call sc_angular
1591 C Calculate whole angle-dependent part of epsilon and contributions
1592 C to its derivatives
1593             fac=(rrij*sigsq)**expon2
1594             e1=fac*fac*aa(itypi,itypj)
1595             e2=fac*bb(itypi,itypj)
1596             evdwij=eps1*eps2rt*eps3rt*(e1+e2)
1597             eps2der=evdwij*eps3rt
1598             eps3der=evdwij*eps2rt
1599             evdwij=evdwij*eps2rt*eps3rt
1600 #ifdef TSCSC
1601             if (bb(itypi,itypj).gt.0) then
1602                evdw_p=evdw_p+evdwij
1603             else
1604                evdw_m=evdw_m+evdwij
1605             endif
1606 #else
1607             evdw=evdw+evdwij
1608 #endif
1609             if (lprn) then
1610             sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1611             epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1612 cd            write (iout,'(2(a3,i3,2x),15(0pf7.3))')
1613 cd     &        restyp(itypi),i,restyp(itypj),j,
1614 cd     &        epsi,sigm,chi1,chi2,chip1,chip2,
1615 cd     &        eps1,eps2rt**2,eps3rt**2,1.0D0/dsqrt(sigsq),
1616 cd     &        om1,om2,om12,1.0D0/dsqrt(rrij),
1617 cd     &        evdwij
1618             endif
1619 C Calculate gradient components.
1620             e1=e1*eps1*eps2rt**2*eps3rt**2
1621             fac=-expon*(e1+evdwij)
1622             sigder=fac/sigsq
1623             fac=rrij*fac
1624 C Calculate radial part of the gradient
1625             gg(1)=xj*fac
1626             gg(2)=yj*fac
1627             gg(3)=zj*fac
1628 C Calculate the angular part of the gradient and sum add the contributions
1629 C to the appropriate components of the Cartesian gradient.
1630 #ifdef TSCSC
1631             if (bb(itypi,itypj).gt.0) then
1632                call sc_grad
1633             else
1634                call sc_grad_T
1635             endif
1636 #else
1637             call sc_grad
1638 #endif
1639           enddo      ! j
1640         enddo        ! iint
1641       enddo          ! i
1642 c     stop
1643       return
1644       end
1645 C-----------------------------------------------------------------------------
1646       subroutine egb(evdw,evdw_p,evdw_m)
1647 C
1648 C This subroutine calculates the interaction energy of nonbonded side chains
1649 C assuming the Gay-Berne potential of interaction.
1650 C
1651       implicit real*8 (a-h,o-z)
1652       include 'DIMENSIONS'
1653       include 'COMMON.GEO'
1654       include 'COMMON.VAR'
1655       include 'COMMON.LOCAL'
1656       include 'COMMON.CHAIN'
1657       include 'COMMON.DERIV'
1658       include 'COMMON.NAMES'
1659       include 'COMMON.INTERACT'
1660       include 'COMMON.IOUNITS'
1661       include 'COMMON.CALC'
1662       include 'COMMON.CONTROL'
1663       include 'COMMON.SBRIDGE'
1664       logical lprn
1665       evdw=0.0D0
1666 ccccc      energy_dec=.false.
1667 c     print *,'Entering EGB nnt=',nnt,' nct=',nct,' expon=',expon
1668       evdw=0.0D0
1669       evdw_p=0.0D0
1670       evdw_m=0.0D0
1671       lprn=.false.
1672 c     if (icall.eq.0) lprn=.false.
1673       ind=0
1674       do i=iatsc_s,iatsc_e
1675         itypi=itype(i)
1676         itypi1=itype(i+1)
1677         xi=c(1,nres+i)
1678         yi=c(2,nres+i)
1679         zi=c(3,nres+i)
1680         dxi=dc_norm(1,nres+i)
1681         dyi=dc_norm(2,nres+i)
1682         dzi=dc_norm(3,nres+i)
1683 c        dsci_inv=dsc_inv(itypi)
1684         dsci_inv=vbld_inv(i+nres)
1685 c        write (iout,*) "i",i,dsc_inv(itypi),dsci_inv,1.0d0/vbld(i+nres)
1686 c        write (iout,*) "dcnori",dxi*dxi+dyi*dyi+dzi*dzi
1687 C
1688 C Calculate SC interaction energy.
1689 C
1690         do iint=1,nint_gr(i)
1691           do j=istart(i,iint),iend(i,iint)
1692             IF (dyn_ss_mask(i).and.dyn_ss_mask(j)) THEN
1693               call dyn_ssbond_ene(i,j,evdwij)
1694               evdw=evdw+evdwij
1695               if (energy_dec) write (iout,'(a6,2i5,0pf7.3,a3)') 
1696      &                        'evdw',i,j,evdwij,' ss'
1697             ELSE
1698             ind=ind+1
1699             itypj=itype(j)
1700 c            dscj_inv=dsc_inv(itypj)
1701             dscj_inv=vbld_inv(j+nres)
1702 c            write (iout,*) "j",j,dsc_inv(itypj),dscj_inv,
1703 c     &       1.0d0/vbld(j+nres)
1704 c            write (iout,*) "i",i," j", j," itype",itype(i),itype(j)
1705             sig0ij=sigma(itypi,itypj)
1706             chi1=chi(itypi,itypj)
1707             chi2=chi(itypj,itypi)
1708             chi12=chi1*chi2
1709             chip1=chip(itypi)
1710             chip2=chip(itypj)
1711             chip12=chip1*chip2
1712             alf1=alp(itypi)
1713             alf2=alp(itypj)
1714             alf12=0.5D0*(alf1+alf2)
1715 C For diagnostics only!!!
1716 c           chi1=0.0D0
1717 c           chi2=0.0D0
1718 c           chi12=0.0D0
1719 c           chip1=0.0D0
1720 c           chip2=0.0D0
1721 c           chip12=0.0D0
1722 c           alf1=0.0D0
1723 c           alf2=0.0D0
1724 c           alf12=0.0D0
1725             xj=c(1,nres+j)-xi
1726             yj=c(2,nres+j)-yi
1727             zj=c(3,nres+j)-zi
1728             dxj=dc_norm(1,nres+j)
1729             dyj=dc_norm(2,nres+j)
1730             dzj=dc_norm(3,nres+j)
1731 c            write (iout,*) "dcnorj",dxi*dxi+dyi*dyi+dzi*dzi
1732 c            write (iout,*) "j",j," dc_norm",
1733 c     &       dc_norm(1,nres+j),dc_norm(2,nres+j),dc_norm(3,nres+j)
1734             rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
1735             rij=dsqrt(rrij)
1736 C Calculate angle-dependent terms of energy and contributions to their
1737 C derivatives.
1738             call sc_angular
1739             sigsq=1.0D0/sigsq
1740             sig=sig0ij*dsqrt(sigsq)
1741             rij_shift=1.0D0/rij-sig+sig0ij
1742 c for diagnostics; uncomment
1743 c            rij_shift=1.2*sig0ij
1744 C I hate to put IF's in the loops, but here don't have another choice!!!!
1745             if (rij_shift.le.0.0D0) then
1746               evdw=1.0D20
1747 cd              write (iout,'(2(a3,i3,2x),17(0pf7.3))')
1748 cd     &        restyp(itypi),i,restyp(itypj),j,
1749 cd     &        rij_shift,1.0D0/rij,sig,sig0ij,sigsq,1-dsqrt(sigsq) 
1750               return
1751             endif
1752             sigder=-sig*sigsq
1753 c---------------------------------------------------------------
1754             rij_shift=1.0D0/rij_shift 
1755             fac=rij_shift**expon
1756             e1=fac*fac*aa(itypi,itypj)
1757             e2=fac*bb(itypi,itypj)
1758             evdwij=eps1*eps2rt*eps3rt*(e1+e2)
1759             eps2der=evdwij*eps3rt
1760             eps3der=evdwij*eps2rt
1761 c            write (iout,*) "sigsq",sigsq," sig",sig," eps2rt",eps2rt,
1762 c     &        " eps3rt",eps3rt," eps1",eps1," e1",e1," e2",e2
1763             evdwij=evdwij*eps2rt*eps3rt
1764 #ifdef TSCSC
1765             if (bb(itypi,itypj).gt.0) then
1766                evdw_p=evdw_p+evdwij
1767             else
1768                evdw_m=evdw_m+evdwij
1769             endif
1770 #else
1771             evdw=evdw+evdwij
1772 #endif
1773             if (lprn) then
1774             sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1775             epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1776             write (iout,'(2(a3,i3,2x),17(0pf7.3))')
1777      &        restyp(itypi),i,restyp(itypj),j,
1778      &        epsi,sigm,chi1,chi2,chip1,chip2,
1779      &        eps1,eps2rt**2,eps3rt**2,sig,sig0ij,
1780      &        om1,om2,om12,1.0D0/rij,1.0D0/rij_shift,
1781      &        evdwij
1782             endif
1783
1784             if (energy_dec) then
1785               write (iout,'(a6,2i5,0pf7.3)') 'evdw',i,j,evdwij
1786               call flush(iout)
1787             endif
1788 C Calculate gradient components.
1789             e1=e1*eps1*eps2rt**2*eps3rt**2
1790             fac=-expon*(e1+evdwij)*rij_shift
1791             sigder=fac*sigder
1792             fac=rij*fac
1793 c            fac=0.0d0
1794 C Calculate the radial part of the gradient
1795             gg(1)=xj*fac
1796             gg(2)=yj*fac
1797             gg(3)=zj*fac
1798 C Calculate angular part of the gradient.
1799 #ifdef TSCSC
1800             if (bb(itypi,itypj).gt.0) then
1801                call sc_grad
1802             else
1803                call sc_grad_T
1804             endif
1805 #else
1806             call sc_grad
1807 #endif
1808             ENDIF    ! dyn_ss            
1809           enddo      ! j
1810         enddo        ! iint
1811       enddo          ! i
1812 c      write (iout,*) "Number of loop steps in EGB:",ind
1813 cccc      energy_dec=.false.
1814       return
1815       end
1816 C-----------------------------------------------------------------------------
1817       subroutine egbv(evdw,evdw_p,evdw_m)
1818 C
1819 C This subroutine calculates the interaction energy of nonbonded side chains
1820 C assuming the Gay-Berne-Vorobjev potential of interaction.
1821 C
1822       implicit real*8 (a-h,o-z)
1823       include 'DIMENSIONS'
1824       include 'COMMON.GEO'
1825       include 'COMMON.VAR'
1826       include 'COMMON.LOCAL'
1827       include 'COMMON.CHAIN'
1828       include 'COMMON.DERIV'
1829       include 'COMMON.NAMES'
1830       include 'COMMON.INTERACT'
1831       include 'COMMON.IOUNITS'
1832       include 'COMMON.CALC'
1833       common /srutu/ icall
1834       logical lprn
1835       evdw=0.0D0
1836 c     print *,'Entering EGB nnt=',nnt,' nct=',nct,' expon=',expon
1837       evdw=0.0D0
1838       lprn=.false.
1839 c     if (icall.eq.0) lprn=.true.
1840       ind=0
1841       do i=iatsc_s,iatsc_e
1842         itypi=itype(i)
1843         itypi1=itype(i+1)
1844         xi=c(1,nres+i)
1845         yi=c(2,nres+i)
1846         zi=c(3,nres+i)
1847         dxi=dc_norm(1,nres+i)
1848         dyi=dc_norm(2,nres+i)
1849         dzi=dc_norm(3,nres+i)
1850 c        dsci_inv=dsc_inv(itypi)
1851         dsci_inv=vbld_inv(i+nres)
1852 C
1853 C Calculate SC interaction energy.
1854 C
1855         do iint=1,nint_gr(i)
1856           do j=istart(i,iint),iend(i,iint)
1857             ind=ind+1
1858             itypj=itype(j)
1859 c            dscj_inv=dsc_inv(itypj)
1860             dscj_inv=vbld_inv(j+nres)
1861             sig0ij=sigma(itypi,itypj)
1862             r0ij=r0(itypi,itypj)
1863             chi1=chi(itypi,itypj)
1864             chi2=chi(itypj,itypi)
1865             chi12=chi1*chi2
1866             chip1=chip(itypi)
1867             chip2=chip(itypj)
1868             chip12=chip1*chip2
1869             alf1=alp(itypi)
1870             alf2=alp(itypj)
1871             alf12=0.5D0*(alf1+alf2)
1872 C For diagnostics only!!!
1873 c           chi1=0.0D0
1874 c           chi2=0.0D0
1875 c           chi12=0.0D0
1876 c           chip1=0.0D0
1877 c           chip2=0.0D0
1878 c           chip12=0.0D0
1879 c           alf1=0.0D0
1880 c           alf2=0.0D0
1881 c           alf12=0.0D0
1882             xj=c(1,nres+j)-xi
1883             yj=c(2,nres+j)-yi
1884             zj=c(3,nres+j)-zi
1885             dxj=dc_norm(1,nres+j)
1886             dyj=dc_norm(2,nres+j)
1887             dzj=dc_norm(3,nres+j)
1888             rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
1889             rij=dsqrt(rrij)
1890 C Calculate angle-dependent terms of energy and contributions to their
1891 C derivatives.
1892             call sc_angular
1893             sigsq=1.0D0/sigsq
1894             sig=sig0ij*dsqrt(sigsq)
1895             rij_shift=1.0D0/rij-sig+r0ij
1896 C I hate to put IF's in the loops, but here don't have another choice!!!!
1897             if (rij_shift.le.0.0D0) then
1898               evdw=1.0D20
1899               return
1900             endif
1901             sigder=-sig*sigsq
1902 c---------------------------------------------------------------
1903             rij_shift=1.0D0/rij_shift 
1904             fac=rij_shift**expon
1905             e1=fac*fac*aa(itypi,itypj)
1906             e2=fac*bb(itypi,itypj)
1907             evdwij=eps1*eps2rt*eps3rt*(e1+e2)
1908             eps2der=evdwij*eps3rt
1909             eps3der=evdwij*eps2rt
1910             fac_augm=rrij**expon
1911             e_augm=augm(itypi,itypj)*fac_augm
1912             evdwij=evdwij*eps2rt*eps3rt
1913 #ifdef TSCSC
1914             if (bb(itypi,itypj).gt.0) then
1915                evdw_p=evdw_p+evdwij+e_augm
1916             else
1917                evdw_m=evdw_m+evdwij+e_augm
1918             endif
1919 #else
1920             evdw=evdw+evdwij+e_augm
1921 #endif
1922             if (lprn) then
1923             sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1924             epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1925             write (iout,'(2(a3,i3,2x),17(0pf7.3))')
1926      &        restyp(itypi),i,restyp(itypj),j,
1927      &        epsi,sigm,sig,(augm(itypi,itypj)/epsi)**(1.0D0/12.0D0),
1928      &        chi1,chi2,chip1,chip2,
1929      &        eps1,eps2rt**2,eps3rt**2,
1930      &        om1,om2,om12,1.0D0/rij,1.0D0/rij_shift,
1931      &        evdwij+e_augm
1932             endif
1933 C Calculate gradient components.
1934             e1=e1*eps1*eps2rt**2*eps3rt**2
1935             fac=-expon*(e1+evdwij)*rij_shift
1936             sigder=fac*sigder
1937             fac=rij*fac-2*expon*rrij*e_augm
1938 C Calculate the radial part of the gradient
1939             gg(1)=xj*fac
1940             gg(2)=yj*fac
1941             gg(3)=zj*fac
1942 C Calculate angular part of the gradient.
1943 #ifdef TSCSC
1944             if (bb(itypi,itypj).gt.0) then
1945                call sc_grad
1946             else
1947                call sc_grad_T
1948             endif
1949 #else
1950             call sc_grad
1951 #endif
1952           enddo      ! j
1953         enddo        ! iint
1954       enddo          ! i
1955       end
1956 C-----------------------------------------------------------------------------
1957       subroutine sc_angular
1958 C Calculate eps1,eps2,eps3,sigma, and parts of their derivatives in om1,om2,
1959 C om12. Called by ebp, egb, and egbv.
1960       implicit none
1961       include 'COMMON.CALC'
1962       include 'COMMON.IOUNITS'
1963       erij(1)=xj*rij
1964       erij(2)=yj*rij
1965       erij(3)=zj*rij
1966       om1=dxi*erij(1)+dyi*erij(2)+dzi*erij(3)
1967       om2=dxj*erij(1)+dyj*erij(2)+dzj*erij(3)
1968       om12=dxi*dxj+dyi*dyj+dzi*dzj
1969       chiom12=chi12*om12
1970 C Calculate eps1(om12) and its derivative in om12
1971       faceps1=1.0D0-om12*chiom12
1972       faceps1_inv=1.0D0/faceps1
1973       eps1=dsqrt(faceps1_inv)
1974 C Following variable is eps1*deps1/dom12
1975       eps1_om12=faceps1_inv*chiom12
1976 c diagnostics only
1977 c      faceps1_inv=om12
1978 c      eps1=om12
1979 c      eps1_om12=1.0d0
1980 c      write (iout,*) "om12",om12," eps1",eps1
1981 C Calculate sigma(om1,om2,om12) and the derivatives of sigma**2 in om1,om2,
1982 C and om12.
1983       om1om2=om1*om2
1984       chiom1=chi1*om1
1985       chiom2=chi2*om2
1986       facsig=om1*chiom1+om2*chiom2-2.0D0*om1om2*chiom12
1987       sigsq=1.0D0-facsig*faceps1_inv
1988       sigsq_om1=(chiom1-chiom12*om2)*faceps1_inv
1989       sigsq_om2=(chiom2-chiom12*om1)*faceps1_inv
1990       sigsq_om12=-chi12*(om1om2*faceps1-om12*facsig)*faceps1_inv**2
1991 c diagnostics only
1992 c      sigsq=1.0d0
1993 c      sigsq_om1=0.0d0
1994 c      sigsq_om2=0.0d0
1995 c      sigsq_om12=0.0d0
1996 c      write (iout,*) "chiom1",chiom1," chiom2",chiom2," chiom12",chiom12
1997 c      write (iout,*) "faceps1",faceps1," faceps1_inv",faceps1_inv,
1998 c     &    " eps1",eps1
1999 C Calculate eps2 and its derivatives in om1, om2, and om12.
2000       chipom1=chip1*om1
2001       chipom2=chip2*om2
2002       chipom12=chip12*om12
2003       facp=1.0D0-om12*chipom12
2004       facp_inv=1.0D0/facp
2005       facp1=om1*chipom1+om2*chipom2-2.0D0*om1om2*chipom12
2006 c      write (iout,*) "chipom1",chipom1," chipom2",chipom2,
2007 c     &  " chipom12",chipom12," facp",facp," facp_inv",facp_inv
2008 C Following variable is the square root of eps2
2009       eps2rt=1.0D0-facp1*facp_inv
2010 C Following three variables are the derivatives of the square root of eps
2011 C in om1, om2, and om12.
2012       eps2rt_om1=-4.0D0*(chipom1-chipom12*om2)*facp_inv
2013       eps2rt_om2=-4.0D0*(chipom2-chipom12*om1)*facp_inv
2014       eps2rt_om12=4.0D0*chip12*(om1om2*facp-om12*facp1)*facp_inv**2 
2015 C Evaluate the "asymmetric" factor in the VDW constant, eps3
2016       eps3rt=1.0D0-alf1*om1+alf2*om2-alf12*om12 
2017 c      write (iout,*) "eps2rt",eps2rt," eps3rt",eps3rt
2018 c      write (iout,*) "eps2rt_om1",eps2rt_om1," eps2rt_om2",eps2rt_om2,
2019 c     &  " eps2rt_om12",eps2rt_om12
2020 C Calculate whole angle-dependent part of epsilon and contributions
2021 C to its derivatives
2022       return
2023       end
2024
2025 C----------------------------------------------------------------------------
2026       subroutine sc_grad_T
2027       implicit real*8 (a-h,o-z)
2028       include 'DIMENSIONS'
2029       include 'COMMON.CHAIN'
2030       include 'COMMON.DERIV'
2031       include 'COMMON.CALC'
2032       include 'COMMON.IOUNITS'
2033       double precision dcosom1(3),dcosom2(3)
2034       eom1=eps2der*eps2rt_om1-2.0D0*alf1*eps3der+sigder*sigsq_om1
2035       eom2=eps2der*eps2rt_om2+2.0D0*alf2*eps3der+sigder*sigsq_om2
2036       eom12=evdwij*eps1_om12+eps2der*eps2rt_om12
2037      &     -2.0D0*alf12*eps3der+sigder*sigsq_om12
2038 c diagnostics only
2039 c      eom1=0.0d0
2040 c      eom2=0.0d0
2041 c      eom12=evdwij*eps1_om12
2042 c end diagnostics
2043 c      write (iout,*) "eps2der",eps2der," eps3der",eps3der,
2044 c     &  " sigder",sigder
2045 c      write (iout,*) "eps1_om12",eps1_om12," eps2rt_om12",eps2rt_om12
2046 c      write (iout,*) "eom1",eom1," eom2",eom2," eom12",eom12
2047       do k=1,3
2048         dcosom1(k)=rij*(dc_norm(k,nres+i)-om1*erij(k))
2049         dcosom2(k)=rij*(dc_norm(k,nres+j)-om2*erij(k))
2050       enddo
2051       do k=1,3
2052         gg(k)=gg(k)+eom1*dcosom1(k)+eom2*dcosom2(k)
2053       enddo 
2054 c      write (iout,*) "gg",(gg(k),k=1,3)
2055       do k=1,3
2056         gvdwxT(k,i)=gvdwxT(k,i)-gg(k)
2057      &            +(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
2058      &            +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
2059         gvdwxT(k,j)=gvdwxT(k,j)+gg(k)
2060      &            +(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
2061      &            +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
2062 c        write (iout,*)(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
2063 c     &            +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
2064 c        write (iout,*)(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
2065 c     &            +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
2066       enddo
2067
2068 C Calculate the components of the gradient in DC and X
2069 C
2070 cgrad      do k=i,j-1
2071 cgrad        do l=1,3
2072 cgrad          gvdwc(l,k)=gvdwc(l,k)+gg(l)
2073 cgrad        enddo
2074 cgrad      enddo
2075       do l=1,3
2076         gvdwcT(l,i)=gvdwcT(l,i)-gg(l)
2077         gvdwcT(l,j)=gvdwcT(l,j)+gg(l)
2078       enddo
2079       return
2080       end
2081
2082 C----------------------------------------------------------------------------
2083       subroutine sc_grad
2084       implicit real*8 (a-h,o-z)
2085       include 'DIMENSIONS'
2086       include 'COMMON.CHAIN'
2087       include 'COMMON.DERIV'
2088       include 'COMMON.CALC'
2089       include 'COMMON.IOUNITS'
2090       double precision dcosom1(3),dcosom2(3)
2091       eom1=eps2der*eps2rt_om1-2.0D0*alf1*eps3der+sigder*sigsq_om1
2092       eom2=eps2der*eps2rt_om2+2.0D0*alf2*eps3der+sigder*sigsq_om2
2093       eom12=evdwij*eps1_om12+eps2der*eps2rt_om12
2094      &     -2.0D0*alf12*eps3der+sigder*sigsq_om12
2095 c diagnostics only
2096 c      eom1=0.0d0
2097 c      eom2=0.0d0
2098 c      eom12=evdwij*eps1_om12
2099 c end diagnostics
2100 c      write (iout,*) "eps2der",eps2der," eps3der",eps3der,
2101 c     &  " sigder",sigder
2102 c      write (iout,*) "eps1_om12",eps1_om12," eps2rt_om12",eps2rt_om12
2103 c      write (iout,*) "eom1",eom1," eom2",eom2," eom12",eom12
2104       do k=1,3
2105         dcosom1(k)=rij*(dc_norm(k,nres+i)-om1*erij(k))
2106         dcosom2(k)=rij*(dc_norm(k,nres+j)-om2*erij(k))
2107       enddo
2108       do k=1,3
2109         gg(k)=gg(k)+eom1*dcosom1(k)+eom2*dcosom2(k)
2110       enddo 
2111 c      write (iout,*) "gg",(gg(k),k=1,3)
2112       do k=1,3
2113         gvdwx(k,i)=gvdwx(k,i)-gg(k)
2114      &            +(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
2115      &            +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
2116         gvdwx(k,j)=gvdwx(k,j)+gg(k)
2117      &            +(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
2118      &            +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
2119 c        write (iout,*)(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
2120 c     &            +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
2121 c        write (iout,*)(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
2122 c     &            +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
2123       enddo
2124
2125 C Calculate the components of the gradient in DC and X
2126 C
2127 cgrad      do k=i,j-1
2128 cgrad        do l=1,3
2129 cgrad          gvdwc(l,k)=gvdwc(l,k)+gg(l)
2130 cgrad        enddo
2131 cgrad      enddo
2132       do l=1,3
2133         gvdwc(l,i)=gvdwc(l,i)-gg(l)
2134         gvdwc(l,j)=gvdwc(l,j)+gg(l)
2135       enddo
2136       return
2137       end
2138 C-----------------------------------------------------------------------
2139       subroutine e_softsphere(evdw)
2140 C
2141 C This subroutine calculates the interaction energy of nonbonded side chains
2142 C assuming the LJ potential of interaction.
2143 C
2144       implicit real*8 (a-h,o-z)
2145       include 'DIMENSIONS'
2146       parameter (accur=1.0d-10)
2147       include 'COMMON.GEO'
2148       include 'COMMON.VAR'
2149       include 'COMMON.LOCAL'
2150       include 'COMMON.CHAIN'
2151       include 'COMMON.DERIV'
2152       include 'COMMON.INTERACT'
2153       include 'COMMON.TORSION'
2154       include 'COMMON.SBRIDGE'
2155       include 'COMMON.NAMES'
2156       include 'COMMON.IOUNITS'
2157       include 'COMMON.CONTACTS'
2158       dimension gg(3)
2159 cd    print *,'Entering Esoft_sphere nnt=',nnt,' nct=',nct
2160       evdw=0.0D0
2161       do i=iatsc_s,iatsc_e
2162         itypi=itype(i)
2163         itypi1=itype(i+1)
2164         xi=c(1,nres+i)
2165         yi=c(2,nres+i)
2166         zi=c(3,nres+i)
2167 C
2168 C Calculate SC interaction energy.
2169 C
2170         do iint=1,nint_gr(i)
2171 cd        write (iout,*) 'i=',i,' iint=',iint,' istart=',istart(i,iint),
2172 cd   &                  'iend=',iend(i,iint)
2173           do j=istart(i,iint),iend(i,iint)
2174             itypj=itype(j)
2175             xj=c(1,nres+j)-xi
2176             yj=c(2,nres+j)-yi
2177             zj=c(3,nres+j)-zi
2178             rij=xj*xj+yj*yj+zj*zj
2179 c           write (iout,*)'i=',i,' j=',j,' itypi=',itypi,' itypj=',itypj
2180             r0ij=r0(itypi,itypj)
2181             r0ijsq=r0ij*r0ij
2182 c            print *,i,j,r0ij,dsqrt(rij)
2183             if (rij.lt.r0ijsq) then
2184               evdwij=0.25d0*(rij-r0ijsq)**2
2185               fac=rij-r0ijsq
2186             else
2187               evdwij=0.0d0
2188               fac=0.0d0
2189             endif
2190             evdw=evdw+evdwij
2191
2192 C Calculate the components of the gradient in DC and X
2193 C
2194             gg(1)=xj*fac
2195             gg(2)=yj*fac
2196             gg(3)=zj*fac
2197             do k=1,3
2198               gvdwx(k,i)=gvdwx(k,i)-gg(k)
2199               gvdwx(k,j)=gvdwx(k,j)+gg(k)
2200               gvdwc(k,i)=gvdwc(k,i)-gg(k)
2201               gvdwc(k,j)=gvdwc(k,j)+gg(k)
2202             enddo
2203 cgrad            do k=i,j-1
2204 cgrad              do l=1,3
2205 cgrad                gvdwc(l,k)=gvdwc(l,k)+gg(l)
2206 cgrad              enddo
2207 cgrad            enddo
2208           enddo ! j
2209         enddo ! iint
2210       enddo ! i
2211       return
2212       end
2213 C--------------------------------------------------------------------------
2214       subroutine eelec_soft_sphere(ees,evdw1,eel_loc,eello_turn3,
2215      &              eello_turn4)
2216 C
2217 C Soft-sphere potential of p-p interaction
2218
2219       implicit real*8 (a-h,o-z)
2220       include 'DIMENSIONS'
2221       include 'COMMON.CONTROL'
2222       include 'COMMON.IOUNITS'
2223       include 'COMMON.GEO'
2224       include 'COMMON.VAR'
2225       include 'COMMON.LOCAL'
2226       include 'COMMON.CHAIN'
2227       include 'COMMON.DERIV'
2228       include 'COMMON.INTERACT'
2229       include 'COMMON.CONTACTS'
2230       include 'COMMON.TORSION'
2231       include 'COMMON.VECTORS'
2232       include 'COMMON.FFIELD'
2233       dimension ggg(3)
2234 cd      write(iout,*) 'In EELEC_soft_sphere'
2235       ees=0.0D0
2236       evdw1=0.0D0
2237       eel_loc=0.0d0 
2238       eello_turn3=0.0d0
2239       eello_turn4=0.0d0
2240       ind=0
2241       do i=iatel_s,iatel_e
2242         dxi=dc(1,i)
2243         dyi=dc(2,i)
2244         dzi=dc(3,i)
2245         xmedi=c(1,i)+0.5d0*dxi
2246         ymedi=c(2,i)+0.5d0*dyi
2247         zmedi=c(3,i)+0.5d0*dzi
2248         num_conti=0
2249 c        write (iout,*) 'i',i,' ielstart',ielstart(i),' ielend',ielend(i)
2250         do j=ielstart(i),ielend(i)
2251           ind=ind+1
2252           iteli=itel(i)
2253           itelj=itel(j)
2254           if (j.eq.i+2 .and. itelj.eq.2) iteli=2
2255           r0ij=rpp(iteli,itelj)
2256           r0ijsq=r0ij*r0ij 
2257           dxj=dc(1,j)
2258           dyj=dc(2,j)
2259           dzj=dc(3,j)
2260           xj=c(1,j)+0.5D0*dxj-xmedi
2261           yj=c(2,j)+0.5D0*dyj-ymedi
2262           zj=c(3,j)+0.5D0*dzj-zmedi
2263           rij=xj*xj+yj*yj+zj*zj
2264           if (rij.lt.r0ijsq) then
2265             evdw1ij=0.25d0*(rij-r0ijsq)**2
2266             fac=rij-r0ijsq
2267           else
2268             evdw1ij=0.0d0
2269             fac=0.0d0
2270           endif
2271           evdw1=evdw1+evdw1ij
2272 C
2273 C Calculate contributions to the Cartesian gradient.
2274 C
2275           ggg(1)=fac*xj
2276           ggg(2)=fac*yj
2277           ggg(3)=fac*zj
2278           do k=1,3
2279             gvdwpp(k,i)=gvdwpp(k,i)-ggg(k)
2280             gvdwpp(k,j)=gvdwpp(k,j)+ggg(k)
2281           enddo
2282 *
2283 * Loop over residues i+1 thru j-1.
2284 *
2285 cgrad          do k=i+1,j-1
2286 cgrad            do l=1,3
2287 cgrad              gelc(l,k)=gelc(l,k)+ggg(l)
2288 cgrad            enddo
2289 cgrad          enddo
2290         enddo ! j
2291       enddo   ! i
2292 cgrad      do i=nnt,nct-1
2293 cgrad        do k=1,3
2294 cgrad          gelc(k,i)=gelc(k,i)+0.5d0*gelc(k,i)
2295 cgrad        enddo
2296 cgrad        do j=i+1,nct-1
2297 cgrad          do k=1,3
2298 cgrad            gelc(k,i)=gelc(k,i)+gelc(k,j)
2299 cgrad          enddo
2300 cgrad        enddo
2301 cgrad      enddo
2302       return
2303       end
2304 c------------------------------------------------------------------------------
2305       subroutine vec_and_deriv
2306       implicit real*8 (a-h,o-z)
2307       include 'DIMENSIONS'
2308 #ifdef MPI
2309       include 'mpif.h'
2310 #endif
2311       include 'COMMON.IOUNITS'
2312       include 'COMMON.GEO'
2313       include 'COMMON.VAR'
2314       include 'COMMON.LOCAL'
2315       include 'COMMON.CHAIN'
2316       include 'COMMON.VECTORS'
2317       include 'COMMON.SETUP'
2318       include 'COMMON.TIME1'
2319       dimension uyder(3,3,2),uzder(3,3,2),vbld_inv_temp(2)
2320 C Compute the local reference systems. For reference system (i), the
2321 C X-axis points from CA(i) to CA(i+1), the Y axis is in the 
2322 C CA(i)-CA(i+1)-CA(i+2) plane, and the Z axis is perpendicular to this plane.
2323 #ifdef PARVEC
2324       do i=ivec_start,ivec_end
2325 #else
2326       do i=1,nres-1
2327 #endif
2328           if (i.eq.nres-1) then
2329 C Case of the last full residue
2330 C Compute the Z-axis
2331             call vecpr(dc_norm(1,i),dc_norm(1,i-1),uz(1,i))
2332             costh=dcos(pi-theta(nres))
2333             fac=1.0d0/dsqrt(1.0d0-costh*costh)
2334             do k=1,3
2335               uz(k,i)=fac*uz(k,i)
2336             enddo
2337 C Compute the derivatives of uz
2338             uzder(1,1,1)= 0.0d0
2339             uzder(2,1,1)=-dc_norm(3,i-1)
2340             uzder(3,1,1)= dc_norm(2,i-1) 
2341             uzder(1,2,1)= dc_norm(3,i-1)
2342             uzder(2,2,1)= 0.0d0
2343             uzder(3,2,1)=-dc_norm(1,i-1)
2344             uzder(1,3,1)=-dc_norm(2,i-1)
2345             uzder(2,3,1)= dc_norm(1,i-1)
2346             uzder(3,3,1)= 0.0d0
2347             uzder(1,1,2)= 0.0d0
2348             uzder(2,1,2)= dc_norm(3,i)
2349             uzder(3,1,2)=-dc_norm(2,i) 
2350             uzder(1,2,2)=-dc_norm(3,i)
2351             uzder(2,2,2)= 0.0d0
2352             uzder(3,2,2)= dc_norm(1,i)
2353             uzder(1,3,2)= dc_norm(2,i)
2354             uzder(2,3,2)=-dc_norm(1,i)
2355             uzder(3,3,2)= 0.0d0
2356 C Compute the Y-axis
2357             facy=fac
2358             do k=1,3
2359               uy(k,i)=fac*(dc_norm(k,i-1)-costh*dc_norm(k,i))
2360             enddo
2361 C Compute the derivatives of uy
2362             do j=1,3
2363               do k=1,3
2364                 uyder(k,j,1)=2*dc_norm(k,i-1)*dc_norm(j,i)
2365      &                        -dc_norm(k,i)*dc_norm(j,i-1)
2366                 uyder(k,j,2)=-dc_norm(j,i)*dc_norm(k,i)
2367               enddo
2368               uyder(j,j,1)=uyder(j,j,1)-costh
2369               uyder(j,j,2)=1.0d0+uyder(j,j,2)
2370             enddo
2371             do j=1,2
2372               do k=1,3
2373                 do l=1,3
2374                   uygrad(l,k,j,i)=uyder(l,k,j)
2375                   uzgrad(l,k,j,i)=uzder(l,k,j)
2376                 enddo
2377               enddo
2378             enddo 
2379             call unormderiv(uy(1,i),uyder(1,1,1),facy,uygrad(1,1,1,i))
2380             call unormderiv(uy(1,i),uyder(1,1,2),facy,uygrad(1,1,2,i))
2381             call unormderiv(uz(1,i),uzder(1,1,1),fac,uzgrad(1,1,1,i))
2382             call unormderiv(uz(1,i),uzder(1,1,2),fac,uzgrad(1,1,2,i))
2383           else
2384 C Other residues
2385 C Compute the Z-axis
2386             call vecpr(dc_norm(1,i),dc_norm(1,i+1),uz(1,i))
2387             costh=dcos(pi-theta(i+2))
2388             fac=1.0d0/dsqrt(1.0d0-costh*costh)
2389             do k=1,3
2390               uz(k,i)=fac*uz(k,i)
2391             enddo
2392 C Compute the derivatives of uz
2393             uzder(1,1,1)= 0.0d0
2394             uzder(2,1,1)=-dc_norm(3,i+1)
2395             uzder(3,1,1)= dc_norm(2,i+1) 
2396             uzder(1,2,1)= dc_norm(3,i+1)
2397             uzder(2,2,1)= 0.0d0
2398             uzder(3,2,1)=-dc_norm(1,i+1)
2399             uzder(1,3,1)=-dc_norm(2,i+1)
2400             uzder(2,3,1)= dc_norm(1,i+1)
2401             uzder(3,3,1)= 0.0d0
2402             uzder(1,1,2)= 0.0d0
2403             uzder(2,1,2)= dc_norm(3,i)
2404             uzder(3,1,2)=-dc_norm(2,i) 
2405             uzder(1,2,2)=-dc_norm(3,i)
2406             uzder(2,2,2)= 0.0d0
2407             uzder(3,2,2)= dc_norm(1,i)
2408             uzder(1,3,2)= dc_norm(2,i)
2409             uzder(2,3,2)=-dc_norm(1,i)
2410             uzder(3,3,2)= 0.0d0
2411 C Compute the Y-axis
2412             facy=fac
2413             do k=1,3
2414               uy(k,i)=facy*(dc_norm(k,i+1)-costh*dc_norm(k,i))
2415             enddo
2416 C Compute the derivatives of uy
2417             do j=1,3
2418               do k=1,3
2419                 uyder(k,j,1)=2*dc_norm(k,i+1)*dc_norm(j,i)
2420      &                        -dc_norm(k,i)*dc_norm(j,i+1)
2421                 uyder(k,j,2)=-dc_norm(j,i)*dc_norm(k,i)
2422               enddo
2423               uyder(j,j,1)=uyder(j,j,1)-costh
2424               uyder(j,j,2)=1.0d0+uyder(j,j,2)
2425             enddo
2426             do j=1,2
2427               do k=1,3
2428                 do l=1,3
2429                   uygrad(l,k,j,i)=uyder(l,k,j)
2430                   uzgrad(l,k,j,i)=uzder(l,k,j)
2431                 enddo
2432               enddo
2433             enddo 
2434             call unormderiv(uy(1,i),uyder(1,1,1),facy,uygrad(1,1,1,i))
2435             call unormderiv(uy(1,i),uyder(1,1,2),facy,uygrad(1,1,2,i))
2436             call unormderiv(uz(1,i),uzder(1,1,1),fac,uzgrad(1,1,1,i))
2437             call unormderiv(uz(1,i),uzder(1,1,2),fac,uzgrad(1,1,2,i))
2438           endif
2439       enddo
2440       do i=1,nres-1
2441         vbld_inv_temp(1)=vbld_inv(i+1)
2442         if (i.lt.nres-1) then
2443           vbld_inv_temp(2)=vbld_inv(i+2)
2444           else
2445           vbld_inv_temp(2)=vbld_inv(i)
2446           endif
2447         do j=1,2
2448           do k=1,3
2449             do l=1,3
2450               uygrad(l,k,j,i)=vbld_inv_temp(j)*uygrad(l,k,j,i)
2451               uzgrad(l,k,j,i)=vbld_inv_temp(j)*uzgrad(l,k,j,i)
2452             enddo
2453           enddo
2454         enddo
2455       enddo
2456 #if defined(PARVEC) && defined(MPI)
2457       if (nfgtasks1.gt.1) then
2458         time00=MPI_Wtime()
2459 c        print *,"Processor",fg_rank1,kolor1," ivec_start",ivec_start,
2460 c     &   " ivec_displ",(ivec_displ(i),i=0,nfgtasks1-1),
2461 c     &   " ivec_count",(ivec_count(i),i=0,nfgtasks1-1)
2462         call MPI_Allgatherv(uy(1,ivec_start),ivec_count(fg_rank1),
2463      &   MPI_UYZ,uy(1,1),ivec_count(0),ivec_displ(0),MPI_UYZ,
2464      &   FG_COMM1,IERR)
2465         call MPI_Allgatherv(uz(1,ivec_start),ivec_count(fg_rank1),
2466      &   MPI_UYZ,uz(1,1),ivec_count(0),ivec_displ(0),MPI_UYZ,
2467      &   FG_COMM1,IERR)
2468         call MPI_Allgatherv(uygrad(1,1,1,ivec_start),
2469      &   ivec_count(fg_rank1),MPI_UYZGRAD,uygrad(1,1,1,1),ivec_count(0),
2470      &   ivec_displ(0),MPI_UYZGRAD,FG_COMM1,IERR)
2471         call MPI_Allgatherv(uzgrad(1,1,1,ivec_start),
2472      &   ivec_count(fg_rank1),MPI_UYZGRAD,uzgrad(1,1,1,1),ivec_count(0),
2473      &   ivec_displ(0),MPI_UYZGRAD,FG_COMM1,IERR)
2474         time_gather=time_gather+MPI_Wtime()-time00
2475       endif
2476 c      if (fg_rank.eq.0) then
2477 c        write (iout,*) "Arrays UY and UZ"
2478 c        do i=1,nres-1
2479 c          write (iout,'(i5,3f10.5,5x,3f10.5)') i,(uy(k,i),k=1,3),
2480 c     &     (uz(k,i),k=1,3)
2481 c        enddo
2482 c      endif
2483 #endif
2484       return
2485       end
2486 C-----------------------------------------------------------------------------
2487       subroutine check_vecgrad
2488       implicit real*8 (a-h,o-z)
2489       include 'DIMENSIONS'
2490       include 'COMMON.IOUNITS'
2491       include 'COMMON.GEO'
2492       include 'COMMON.VAR'
2493       include 'COMMON.LOCAL'
2494       include 'COMMON.CHAIN'
2495       include 'COMMON.VECTORS'
2496       dimension uygradt(3,3,2,maxres),uzgradt(3,3,2,maxres)
2497       dimension uyt(3,maxres),uzt(3,maxres)
2498       dimension uygradn(3,3,2),uzgradn(3,3,2),erij(3)
2499       double precision delta /1.0d-7/
2500       call vec_and_deriv
2501 cd      do i=1,nres
2502 crc          write(iout,'(2i5,2(3f10.5,5x))') i,1,dc_norm(:,i)
2503 crc          write(iout,'(2i5,2(3f10.5,5x))') i,2,uy(:,i)
2504 crc          write(iout,'(2i5,2(3f10.5,5x)/)')i,3,uz(:,i)
2505 cd          write(iout,'(2i5,2(3f10.5,5x))') i,1,
2506 cd     &     (dc_norm(if90,i),if90=1,3)
2507 cd          write(iout,'(2i5,2(3f10.5,5x))') i,2,(uy(if90,i),if90=1,3)
2508 cd          write(iout,'(2i5,2(3f10.5,5x)/)')i,3,(uz(if90,i),if90=1,3)
2509 cd          write(iout,'(a)')
2510 cd      enddo
2511       do i=1,nres
2512         do j=1,2
2513           do k=1,3
2514             do l=1,3
2515               uygradt(l,k,j,i)=uygrad(l,k,j,i)
2516               uzgradt(l,k,j,i)=uzgrad(l,k,j,i)
2517             enddo
2518           enddo
2519         enddo
2520       enddo
2521       call vec_and_deriv
2522       do i=1,nres
2523         do j=1,3
2524           uyt(j,i)=uy(j,i)
2525           uzt(j,i)=uz(j,i)
2526         enddo
2527       enddo
2528       do i=1,nres
2529 cd        write (iout,*) 'i=',i
2530         do k=1,3
2531           erij(k)=dc_norm(k,i)
2532         enddo
2533         do j=1,3
2534           do k=1,3
2535             dc_norm(k,i)=erij(k)
2536           enddo
2537           dc_norm(j,i)=dc_norm(j,i)+delta
2538 c          fac=dsqrt(scalar(dc_norm(1,i),dc_norm(1,i)))
2539 c          do k=1,3
2540 c            dc_norm(k,i)=dc_norm(k,i)/fac
2541 c          enddo
2542 c          write (iout,*) (dc_norm(k,i),k=1,3)
2543 c          write (iout,*) (erij(k),k=1,3)
2544           call vec_and_deriv
2545           do k=1,3
2546             uygradn(k,j,1)=(uy(k,i)-uyt(k,i))/delta
2547             uygradn(k,j,2)=(uy(k,i-1)-uyt(k,i-1))/delta
2548             uzgradn(k,j,1)=(uz(k,i)-uzt(k,i))/delta
2549             uzgradn(k,j,2)=(uz(k,i-1)-uzt(k,i-1))/delta
2550           enddo 
2551 c          write (iout,'(i5,3f8.5,3x,3f8.5,5x,3f8.5,3x,3f8.5)') 
2552 c     &      j,(uzgradt(k,j,1,i),k=1,3),(uzgradn(k,j,1),k=1,3),
2553 c     &      (uzgradt(k,j,2,i-1),k=1,3),(uzgradn(k,j,2),k=1,3)
2554         enddo
2555         do k=1,3
2556           dc_norm(k,i)=erij(k)
2557         enddo
2558 cd        do k=1,3
2559 cd          write (iout,'(i5,3f8.5,3x,3f8.5,5x,3f8.5,3x,3f8.5)') 
2560 cd     &      k,(uygradt(k,l,1,i),l=1,3),(uygradn(k,l,1),l=1,3),
2561 cd     &      (uygradt(k,l,2,i-1),l=1,3),(uygradn(k,l,2),l=1,3)
2562 cd          write (iout,'(i5,3f8.5,3x,3f8.5,5x,3f8.5,3x,3f8.5)') 
2563 cd     &      k,(uzgradt(k,l,1,i),l=1,3),(uzgradn(k,l,1),l=1,3),
2564 cd     &      (uzgradt(k,l,2,i-1),l=1,3),(uzgradn(k,l,2),l=1,3)
2565 cd          write (iout,'(a)')
2566 cd        enddo
2567       enddo
2568       return
2569       end
2570 C--------------------------------------------------------------------------
2571       subroutine set_matrices
2572       implicit real*8 (a-h,o-z)
2573       include 'DIMENSIONS'
2574 #ifdef MPI
2575       include "mpif.h"
2576       include "COMMON.SETUP"
2577       integer IERR
2578       integer status(MPI_STATUS_SIZE)
2579 #endif
2580       include 'COMMON.IOUNITS'
2581       include 'COMMON.GEO'
2582       include 'COMMON.VAR'
2583       include 'COMMON.LOCAL'
2584       include 'COMMON.CHAIN'
2585       include 'COMMON.DERIV'
2586       include 'COMMON.INTERACT'
2587       include 'COMMON.CONTACTS'
2588       include 'COMMON.TORSION'
2589       include 'COMMON.VECTORS'
2590       include 'COMMON.FFIELD'
2591       double precision auxvec(2),auxmat(2,2)
2592 C
2593 C Compute the virtual-bond-torsional-angle dependent quantities needed
2594 C to calculate the el-loc multibody terms of various order.
2595 C
2596 #ifdef PARMAT
2597       do i=ivec_start+2,ivec_end+2
2598 #else
2599       do i=3,nres+1
2600 #endif
2601         if (i .lt. nres+1) then
2602           sin1=dsin(phi(i))
2603           cos1=dcos(phi(i))
2604           sintab(i-2)=sin1
2605           costab(i-2)=cos1
2606           obrot(1,i-2)=cos1
2607           obrot(2,i-2)=sin1
2608           sin2=dsin(2*phi(i))
2609           cos2=dcos(2*phi(i))
2610           sintab2(i-2)=sin2
2611           costab2(i-2)=cos2
2612           obrot2(1,i-2)=cos2
2613           obrot2(2,i-2)=sin2
2614           Ug(1,1,i-2)=-cos1
2615           Ug(1,2,i-2)=-sin1
2616           Ug(2,1,i-2)=-sin1
2617           Ug(2,2,i-2)= cos1
2618           Ug2(1,1,i-2)=-cos2
2619           Ug2(1,2,i-2)=-sin2
2620           Ug2(2,1,i-2)=-sin2
2621           Ug2(2,2,i-2)= cos2
2622         else
2623           costab(i-2)=1.0d0
2624           sintab(i-2)=0.0d0
2625           obrot(1,i-2)=1.0d0
2626           obrot(2,i-2)=0.0d0
2627           obrot2(1,i-2)=0.0d0
2628           obrot2(2,i-2)=0.0d0
2629           Ug(1,1,i-2)=1.0d0
2630           Ug(1,2,i-2)=0.0d0
2631           Ug(2,1,i-2)=0.0d0
2632           Ug(2,2,i-2)=1.0d0
2633           Ug2(1,1,i-2)=0.0d0
2634           Ug2(1,2,i-2)=0.0d0
2635           Ug2(2,1,i-2)=0.0d0
2636           Ug2(2,2,i-2)=0.0d0
2637         endif
2638         if (i .gt. 3 .and. i .lt. nres+1) then
2639           obrot_der(1,i-2)=-sin1
2640           obrot_der(2,i-2)= cos1
2641           Ugder(1,1,i-2)= sin1
2642           Ugder(1,2,i-2)=-cos1
2643           Ugder(2,1,i-2)=-cos1
2644           Ugder(2,2,i-2)=-sin1
2645           dwacos2=cos2+cos2
2646           dwasin2=sin2+sin2
2647           obrot2_der(1,i-2)=-dwasin2
2648           obrot2_der(2,i-2)= dwacos2
2649           Ug2der(1,1,i-2)= dwasin2
2650           Ug2der(1,2,i-2)=-dwacos2
2651           Ug2der(2,1,i-2)=-dwacos2
2652           Ug2der(2,2,i-2)=-dwasin2
2653         else
2654           obrot_der(1,i-2)=0.0d0
2655           obrot_der(2,i-2)=0.0d0
2656           Ugder(1,1,i-2)=0.0d0
2657           Ugder(1,2,i-2)=0.0d0
2658           Ugder(2,1,i-2)=0.0d0
2659           Ugder(2,2,i-2)=0.0d0
2660           obrot2_der(1,i-2)=0.0d0
2661           obrot2_der(2,i-2)=0.0d0
2662           Ug2der(1,1,i-2)=0.0d0
2663           Ug2der(1,2,i-2)=0.0d0
2664           Ug2der(2,1,i-2)=0.0d0
2665           Ug2der(2,2,i-2)=0.0d0
2666         endif
2667 c        if (i.gt. iatel_s+2 .and. i.lt.iatel_e+5) then
2668         if (i.gt. nnt+2 .and. i.lt.nct+2) then
2669           iti = itortyp(itype(i-2))
2670         else
2671           iti=ntortyp+1
2672         endif
2673 c        if (i.gt. iatel_s+1 .and. i.lt.iatel_e+4) then
2674         if (i.gt. nnt+1 .and. i.lt.nct+1) then
2675           iti1 = itortyp(itype(i-1))
2676         else
2677           iti1=ntortyp+1
2678         endif
2679 cd        write (iout,*) '*******i',i,' iti1',iti
2680 cd        write (iout,*) 'b1',b1(:,iti)
2681 cd        write (iout,*) 'b2',b2(:,iti)
2682 cd        write (iout,*) 'Ug',Ug(:,:,i-2)
2683 c        if (i .gt. iatel_s+2) then
2684         if (i .gt. nnt+2) then
2685           call matvec2(Ug(1,1,i-2),b2(1,iti),Ub2(1,i-2))
2686           call matmat2(EE(1,1,iti),Ug(1,1,i-2),EUg(1,1,i-2))
2687           if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0) 
2688      &    then
2689           call matmat2(CC(1,1,iti),Ug(1,1,i-2),CUg(1,1,i-2))
2690           call matmat2(DD(1,1,iti),Ug(1,1,i-2),DUg(1,1,i-2))
2691           call matmat2(Dtilde(1,1,iti),Ug2(1,1,i-2),DtUg2(1,1,i-2))
2692           call matvec2(Ctilde(1,1,iti1),obrot(1,i-2),Ctobr(1,i-2))
2693           call matvec2(Dtilde(1,1,iti),obrot2(1,i-2),Dtobr2(1,i-2))
2694           endif
2695         else
2696           do k=1,2
2697             Ub2(k,i-2)=0.0d0
2698             Ctobr(k,i-2)=0.0d0 
2699             Dtobr2(k,i-2)=0.0d0
2700             do l=1,2
2701               EUg(l,k,i-2)=0.0d0
2702               CUg(l,k,i-2)=0.0d0
2703               DUg(l,k,i-2)=0.0d0
2704               DtUg2(l,k,i-2)=0.0d0
2705             enddo
2706           enddo
2707         endif
2708         call matvec2(Ugder(1,1,i-2),b2(1,iti),Ub2der(1,i-2))
2709         call matmat2(EE(1,1,iti),Ugder(1,1,i-2),EUgder(1,1,i-2))
2710         do k=1,2
2711           muder(k,i-2)=Ub2der(k,i-2)
2712         enddo
2713 c        if (i.gt. iatel_s+1 .and. i.lt.iatel_e+4) then
2714         if (i.gt. nnt+1 .and. i.lt.nct+1) then
2715           iti1 = itortyp(itype(i-1))
2716         else
2717           iti1=ntortyp+1
2718         endif
2719         do k=1,2
2720           mu(k,i-2)=Ub2(k,i-2)+b1(k,iti1)
2721         enddo
2722 cd        write (iout,*) 'mu ',mu(:,i-2)
2723 cd        write (iout,*) 'mu1',mu1(:,i-2)
2724 cd        write (iout,*) 'mu2',mu2(:,i-2)
2725         if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or.wcorr6.gt.0.0d0)
2726      &  then  
2727         call matmat2(CC(1,1,iti1),Ugder(1,1,i-2),CUgder(1,1,i-2))
2728         call matmat2(DD(1,1,iti),Ugder(1,1,i-2),DUgder(1,1,i-2))
2729         call matmat2(Dtilde(1,1,iti),Ug2der(1,1,i-2),DtUg2der(1,1,i-2))
2730         call matvec2(Ctilde(1,1,iti1),obrot_der(1,i-2),Ctobrder(1,i-2))
2731         call matvec2(Dtilde(1,1,iti),obrot2_der(1,i-2),Dtobr2der(1,i-2))
2732 C Vectors and matrices dependent on a single virtual-bond dihedral.
2733         call matvec2(DD(1,1,iti),b1tilde(1,iti1),auxvec(1))
2734         call matvec2(Ug2(1,1,i-2),auxvec(1),Ug2Db1t(1,i-2)) 
2735         call matvec2(Ug2der(1,1,i-2),auxvec(1),Ug2Db1tder(1,i-2)) 
2736         call matvec2(CC(1,1,iti1),Ub2(1,i-2),CUgb2(1,i-2))
2737         call matvec2(CC(1,1,iti1),Ub2der(1,i-2),CUgb2der(1,i-2))
2738         call matmat2(EUg(1,1,i-2),CC(1,1,iti1),EUgC(1,1,i-2))
2739         call matmat2(EUgder(1,1,i-2),CC(1,1,iti1),EUgCder(1,1,i-2))
2740         call matmat2(EUg(1,1,i-2),DD(1,1,iti1),EUgD(1,1,i-2))
2741         call matmat2(EUgder(1,1,i-2),DD(1,1,iti1),EUgDder(1,1,i-2))
2742         endif
2743       enddo
2744 C Matrices dependent on two consecutive virtual-bond dihedrals.
2745 C The order of matrices is from left to right.
2746       if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or.wcorr6.gt.0.0d0)
2747      &then
2748 c      do i=max0(ivec_start,2),ivec_end
2749       do i=2,nres-1
2750         call matmat2(DtUg2(1,1,i-1),EUg(1,1,i),DtUg2EUg(1,1,i))
2751         call matmat2(DtUg2der(1,1,i-1),EUg(1,1,i),DtUg2EUgder(1,1,1,i))
2752         call matmat2(DtUg2(1,1,i-1),EUgder(1,1,i),DtUg2EUgder(1,1,2,i))
2753         call transpose2(DtUg2(1,1,i-1),auxmat(1,1))
2754         call matmat2(auxmat(1,1),EUg(1,1,i),Ug2DtEUg(1,1,i))
2755         call matmat2(auxmat(1,1),EUgder(1,1,i),Ug2DtEUgder(1,1,2,i))
2756         call transpose2(DtUg2der(1,1,i-1),auxmat(1,1))
2757         call matmat2(auxmat(1,1),EUg(1,1,i),Ug2DtEUgder(1,1,1,i))
2758       enddo
2759       endif
2760 #if defined(MPI) && defined(PARMAT)
2761 #ifdef DEBUG
2762 c      if (fg_rank.eq.0) then
2763         write (iout,*) "Arrays UG and UGDER before GATHER"
2764         do i=1,nres-1
2765           write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2766      &     ((ug(l,k,i),l=1,2),k=1,2),
2767      &     ((ugder(l,k,i),l=1,2),k=1,2)
2768         enddo
2769         write (iout,*) "Arrays UG2 and UG2DER"
2770         do i=1,nres-1
2771           write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2772      &     ((ug2(l,k,i),l=1,2),k=1,2),
2773      &     ((ug2der(l,k,i),l=1,2),k=1,2)
2774         enddo
2775         write (iout,*) "Arrays OBROT OBROT2 OBROTDER and OBROT2DER"
2776         do i=1,nres-1
2777           write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2778      &     (obrot(k,i),k=1,2),(obrot2(k,i),k=1,2),
2779      &     (obrot_der(k,i),k=1,2),(obrot2_der(k,i),k=1,2)
2780         enddo
2781         write (iout,*) "Arrays COSTAB SINTAB COSTAB2 and SINTAB2"
2782         do i=1,nres-1
2783           write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2784      &     costab(i),sintab(i),costab2(i),sintab2(i)
2785         enddo
2786         write (iout,*) "Array MUDER"
2787         do i=1,nres-1
2788           write (iout,'(i5,2f10.5)') i,muder(1,i),muder(2,i)
2789         enddo
2790 c      endif
2791 #endif
2792       if (nfgtasks.gt.1) then
2793         time00=MPI_Wtime()
2794 c        write(iout,*)"Processor",fg_rank,kolor," ivec_start",ivec_start,
2795 c     &   " ivec_displ",(ivec_displ(i),i=0,nfgtasks-1),
2796 c     &   " ivec_count",(ivec_count(i),i=0,nfgtasks-1)
2797 #ifdef MATGATHER
2798         call MPI_Allgatherv(Ub2(1,ivec_start),ivec_count(fg_rank1),
2799      &   MPI_MU,Ub2(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2800      &   FG_COMM1,IERR)
2801         call MPI_Allgatherv(Ub2der(1,ivec_start),ivec_count(fg_rank1),
2802      &   MPI_MU,Ub2der(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2803      &   FG_COMM1,IERR)
2804         call MPI_Allgatherv(mu(1,ivec_start),ivec_count(fg_rank1),
2805      &   MPI_MU,mu(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2806      &   FG_COMM1,IERR)
2807         call MPI_Allgatherv(muder(1,ivec_start),ivec_count(fg_rank1),
2808      &   MPI_MU,muder(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2809      &   FG_COMM1,IERR)
2810         call MPI_Allgatherv(Eug(1,1,ivec_start),ivec_count(fg_rank1),
2811      &   MPI_MAT1,Eug(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2812      &   FG_COMM1,IERR)
2813         call MPI_Allgatherv(Eugder(1,1,ivec_start),ivec_count(fg_rank1),
2814      &   MPI_MAT1,Eugder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2815      &   FG_COMM1,IERR)
2816         call MPI_Allgatherv(costab(ivec_start),ivec_count(fg_rank1),
2817      &   MPI_DOUBLE_PRECISION,costab(1),ivec_count(0),ivec_displ(0),
2818      &   MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2819         call MPI_Allgatherv(sintab(ivec_start),ivec_count(fg_rank1),
2820      &   MPI_DOUBLE_PRECISION,sintab(1),ivec_count(0),ivec_displ(0),
2821      &   MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2822         call MPI_Allgatherv(costab2(ivec_start),ivec_count(fg_rank1),
2823      &   MPI_DOUBLE_PRECISION,costab2(1),ivec_count(0),ivec_displ(0),
2824      &   MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2825         call MPI_Allgatherv(sintab2(ivec_start),ivec_count(fg_rank1),
2826      &   MPI_DOUBLE_PRECISION,sintab2(1),ivec_count(0),ivec_displ(0),
2827      &   MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2828         if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0)
2829      &  then
2830         call MPI_Allgatherv(Ctobr(1,ivec_start),ivec_count(fg_rank1),
2831      &   MPI_MU,Ctobr(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2832      &   FG_COMM1,IERR)
2833         call MPI_Allgatherv(Ctobrder(1,ivec_start),ivec_count(fg_rank1),
2834      &   MPI_MU,Ctobrder(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2835      &   FG_COMM1,IERR)
2836         call MPI_Allgatherv(Dtobr2(1,ivec_start),ivec_count(fg_rank1),
2837      &   MPI_MU,Dtobr2(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2838      &   FG_COMM1,IERR)
2839        call MPI_Allgatherv(Dtobr2der(1,ivec_start),ivec_count(fg_rank1),
2840      &   MPI_MU,Dtobr2der(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2841      &   FG_COMM1,IERR)
2842         call MPI_Allgatherv(Ug2Db1t(1,ivec_start),ivec_count(fg_rank1),
2843      &   MPI_MU,Ug2Db1t(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2844      &   FG_COMM1,IERR)
2845         call MPI_Allgatherv(Ug2Db1tder(1,ivec_start),
2846      &   ivec_count(fg_rank1),
2847      &   MPI_MU,Ug2Db1tder(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2848      &   FG_COMM1,IERR)
2849         call MPI_Allgatherv(CUgb2(1,ivec_start),ivec_count(fg_rank1),
2850      &   MPI_MU,CUgb2(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2851      &   FG_COMM1,IERR)
2852         call MPI_Allgatherv(CUgb2der(1,ivec_start),ivec_count(fg_rank1),
2853      &   MPI_MU,CUgb2der(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2854      &   FG_COMM1,IERR)
2855         call MPI_Allgatherv(Cug(1,1,ivec_start),ivec_count(fg_rank1),
2856      &   MPI_MAT1,Cug(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2857      &   FG_COMM1,IERR)
2858         call MPI_Allgatherv(Cugder(1,1,ivec_start),ivec_count(fg_rank1),
2859      &   MPI_MAT1,Cugder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2860      &   FG_COMM1,IERR)
2861         call MPI_Allgatherv(Dug(1,1,ivec_start),ivec_count(fg_rank1),
2862      &   MPI_MAT1,Dug(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2863      &   FG_COMM1,IERR)
2864         call MPI_Allgatherv(Dugder(1,1,ivec_start),ivec_count(fg_rank1),
2865      &   MPI_MAT1,Dugder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2866      &   FG_COMM1,IERR)
2867         call MPI_Allgatherv(Dtug2(1,1,ivec_start),ivec_count(fg_rank1),
2868      &   MPI_MAT1,Dtug2(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2869      &   FG_COMM1,IERR)
2870         call MPI_Allgatherv(Dtug2der(1,1,ivec_start),
2871      &   ivec_count(fg_rank1),
2872      &   MPI_MAT1,Dtug2der(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2873      &   FG_COMM1,IERR)
2874         call MPI_Allgatherv(EugC(1,1,ivec_start),ivec_count(fg_rank1),
2875      &   MPI_MAT1,EugC(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2876      &   FG_COMM1,IERR)
2877        call MPI_Allgatherv(EugCder(1,1,ivec_start),ivec_count(fg_rank1),
2878      &   MPI_MAT1,EugCder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2879      &   FG_COMM1,IERR)
2880         call MPI_Allgatherv(EugD(1,1,ivec_start),ivec_count(fg_rank1),
2881      &   MPI_MAT1,EugD(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2882      &   FG_COMM1,IERR)
2883        call MPI_Allgatherv(EugDder(1,1,ivec_start),ivec_count(fg_rank1),
2884      &   MPI_MAT1,EugDder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2885      &   FG_COMM1,IERR)
2886         call MPI_Allgatherv(DtUg2EUg(1,1,ivec_start),
2887      &   ivec_count(fg_rank1),
2888      &   MPI_MAT1,DtUg2EUg(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2889      &   FG_COMM1,IERR)
2890         call MPI_Allgatherv(Ug2DtEUg(1,1,ivec_start),
2891      &   ivec_count(fg_rank1),
2892      &   MPI_MAT1,Ug2DtEUg(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2893      &   FG_COMM1,IERR)
2894         call MPI_Allgatherv(DtUg2EUgder(1,1,1,ivec_start),
2895      &   ivec_count(fg_rank1),
2896      &   MPI_MAT2,DtUg2EUgder(1,1,1,1),ivec_count(0),ivec_displ(0),
2897      &   MPI_MAT2,FG_COMM1,IERR)
2898         call MPI_Allgatherv(Ug2DtEUgder(1,1,1,ivec_start),
2899      &   ivec_count(fg_rank1),
2900      &   MPI_MAT2,Ug2DtEUgder(1,1,1,1),ivec_count(0),ivec_displ(0),
2901      &   MPI_MAT2,FG_COMM1,IERR)
2902         endif
2903 #else
2904 c Passes matrix info through the ring
2905       isend=fg_rank1
2906       irecv=fg_rank1-1
2907       if (irecv.lt.0) irecv=nfgtasks1-1 
2908       iprev=irecv
2909       inext=fg_rank1+1
2910       if (inext.ge.nfgtasks1) inext=0
2911       do i=1,nfgtasks1-1
2912 c        write (iout,*) "isend",isend," irecv",irecv
2913 c        call flush(iout)
2914         lensend=lentyp(isend)
2915         lenrecv=lentyp(irecv)
2916 c        write (iout,*) "lensend",lensend," lenrecv",lenrecv
2917 c        call MPI_SENDRECV(ug(1,1,ivec_displ(isend)+1),1,
2918 c     &   MPI_ROTAT1(lensend),inext,2200+isend,
2919 c     &   ug(1,1,ivec_displ(irecv)+1),1,MPI_ROTAT1(lenrecv),
2920 c     &   iprev,2200+irecv,FG_COMM,status,IERR)
2921 c        write (iout,*) "Gather ROTAT1"
2922 c        call flush(iout)
2923 c        call MPI_SENDRECV(obrot(1,ivec_displ(isend)+1),1,
2924 c     &   MPI_ROTAT2(lensend),inext,3300+isend,
2925 c     &   obrot(1,ivec_displ(irecv)+1),1,MPI_ROTAT2(lenrecv),
2926 c     &   iprev,3300+irecv,FG_COMM,status,IERR)
2927 c        write (iout,*) "Gather ROTAT2"
2928 c        call flush(iout)
2929         call MPI_SENDRECV(costab(ivec_displ(isend)+1),1,
2930      &   MPI_ROTAT_OLD(lensend),inext,4400+isend,
2931      &   costab(ivec_displ(irecv)+1),1,MPI_ROTAT_OLD(lenrecv),
2932      &   iprev,4400+irecv,FG_COMM,status,IERR)
2933 c        write (iout,*) "Gather ROTAT_OLD"
2934 c        call flush(iout)
2935         call MPI_SENDRECV(mu(1,ivec_displ(isend)+1),1,
2936      &   MPI_PRECOMP11(lensend),inext,5500+isend,
2937      &   mu(1,ivec_displ(irecv)+1),1,MPI_PRECOMP11(lenrecv),
2938      &   iprev,5500+irecv,FG_COMM,status,IERR)
2939 c        write (iout,*) "Gather PRECOMP11"
2940 c        call flush(iout)
2941         call MPI_SENDRECV(Eug(1,1,ivec_displ(isend)+1),1,
2942      &   MPI_PRECOMP12(lensend),inext,6600+isend,
2943      &   Eug(1,1,ivec_displ(irecv)+1),1,MPI_PRECOMP12(lenrecv),
2944      &   iprev,6600+irecv,FG_COMM,status,IERR)
2945 c        write (iout,*) "Gather PRECOMP12"
2946 c        call flush(iout)
2947         if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0) 
2948      &  then
2949         call MPI_SENDRECV(ug2db1t(1,ivec_displ(isend)+1),1,
2950      &   MPI_ROTAT2(lensend),inext,7700+isend,
2951      &   ug2db1t(1,ivec_displ(irecv)+1),1,MPI_ROTAT2(lenrecv),
2952      &   iprev,7700+irecv,FG_COMM,status,IERR)
2953 c        write (iout,*) "Gather PRECOMP21"
2954 c        call flush(iout)
2955         call MPI_SENDRECV(EUgC(1,1,ivec_displ(isend)+1),1,
2956      &   MPI_PRECOMP22(lensend),inext,8800+isend,
2957      &   EUgC(1,1,ivec_displ(irecv)+1),1,MPI_PRECOMP22(lenrecv),
2958      &   iprev,8800+irecv,FG_COMM,status,IERR)
2959 c        write (iout,*) "Gather PRECOMP22"
2960 c        call flush(iout)
2961         call MPI_SENDRECV(Ug2DtEUgder(1,1,1,ivec_displ(isend)+1),1,
2962      &   MPI_PRECOMP23(lensend),inext,9900+isend,
2963      &   Ug2DtEUgder(1,1,1,ivec_displ(irecv)+1),1,
2964      &   MPI_PRECOMP23(lenrecv),
2965      &   iprev,9900+irecv,FG_COMM,status,IERR)
2966 c        write (iout,*) "Gather PRECOMP23"
2967 c        call flush(iout)
2968         endif
2969         isend=irecv
2970         irecv=irecv-1
2971         if (irecv.lt.0) irecv=nfgtasks1-1
2972       enddo
2973 #endif
2974         time_gather=time_gather+MPI_Wtime()-time00
2975       endif
2976 #ifdef DEBUG
2977 c      if (fg_rank.eq.0) then
2978         write (iout,*) "Arrays UG and UGDER"
2979         do i=1,nres-1
2980           write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2981      &     ((ug(l,k,i),l=1,2),k=1,2),
2982      &     ((ugder(l,k,i),l=1,2),k=1,2)
2983         enddo
2984         write (iout,*) "Arrays UG2 and UG2DER"
2985         do i=1,nres-1
2986           write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2987      &     ((ug2(l,k,i),l=1,2),k=1,2),
2988      &     ((ug2der(l,k,i),l=1,2),k=1,2)
2989         enddo
2990         write (iout,*) "Arrays OBROT OBROT2 OBROTDER and OBROT2DER"
2991         do i=1,nres-1
2992           write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2993      &     (obrot(k,i),k=1,2),(obrot2(k,i),k=1,2),
2994      &     (obrot_der(k,i),k=1,2),(obrot2_der(k,i),k=1,2)
2995         enddo
2996         write (iout,*) "Arrays COSTAB SINTAB COSTAB2 and SINTAB2"
2997         do i=1,nres-1
2998           write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2999      &     costab(i),sintab(i),costab2(i),sintab2(i)
3000         enddo
3001         write (iout,*) "Array MUDER"
3002         do i=1,nres-1
3003           write (iout,'(i5,2f10.5)') i,muder(1,i),muder(2,i)
3004         enddo
3005 c      endif
3006 #endif
3007 #endif
3008 cd      do i=1,nres
3009 cd        iti = itortyp(itype(i))
3010 cd        write (iout,*) i
3011 cd        do j=1,2
3012 cd        write (iout,'(2f10.5,5x,2f10.5,5x,2f10.5)') 
3013 cd     &  (EE(j,k,iti),k=1,2),(Ug(j,k,i),k=1,2),(EUg(j,k,i),k=1,2)
3014 cd        enddo
3015 cd      enddo
3016       return
3017       end
3018 C--------------------------------------------------------------------------
3019       subroutine eelec(ees,evdw1,eel_loc,eello_turn3,eello_turn4)
3020 C
3021 C This subroutine calculates the average interaction energy and its gradient
3022 C in the virtual-bond vectors between non-adjacent peptide groups, based on 
3023 C the potential described in Liwo et al., Protein Sci., 1993, 2, 1715. 
3024 C The potential depends both on the distance of peptide-group centers and on 
3025 C the orientation of the CA-CA virtual bonds.
3026
3027       implicit real*8 (a-h,o-z)
3028 #ifdef MPI
3029       include 'mpif.h'
3030 #endif
3031       include 'DIMENSIONS'
3032       include 'COMMON.CONTROL'
3033       include 'COMMON.SETUP'
3034       include 'COMMON.IOUNITS'
3035       include 'COMMON.GEO'
3036       include 'COMMON.VAR'
3037       include 'COMMON.LOCAL'
3038       include 'COMMON.CHAIN'
3039       include 'COMMON.DERIV'
3040       include 'COMMON.INTERACT'
3041       include 'COMMON.CONTACTS'
3042       include 'COMMON.TORSION'
3043       include 'COMMON.VECTORS'
3044       include 'COMMON.FFIELD'
3045       include 'COMMON.TIME1'
3046       dimension ggg(3),gggp(3),gggm(3),erij(3),dcosb(3),dcosg(3),
3047      &          erder(3,3),uryg(3,3),urzg(3,3),vryg(3,3),vrzg(3,3)
3048       double precision acipa(2,2),agg(3,4),aggi(3,4),aggi1(3,4),
3049      &    aggj(3,4),aggj1(3,4),a_temp(2,2),muij(4)
3050       common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3051      &    dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3052      &    num_conti,j1,j2
3053 c 4/26/02 - AL scaling factor for 1,4 repulsive VDW interactions
3054 #ifdef MOMENT
3055       double precision scal_el /1.0d0/
3056 #else
3057       double precision scal_el /0.5d0/
3058 #endif
3059 C 12/13/98 
3060 C 13-go grudnia roku pamietnego... 
3061       double precision unmat(3,3) /1.0d0,0.0d0,0.0d0,
3062      &                   0.0d0,1.0d0,0.0d0,
3063      &                   0.0d0,0.0d0,1.0d0/
3064 cd      write(iout,*) 'In EELEC'
3065 cd      do i=1,nloctyp
3066 cd        write(iout,*) 'Type',i
3067 cd        write(iout,*) 'B1',B1(:,i)
3068 cd        write(iout,*) 'B2',B2(:,i)
3069 cd        write(iout,*) 'CC',CC(:,:,i)
3070 cd        write(iout,*) 'DD',DD(:,:,i)
3071 cd        write(iout,*) 'EE',EE(:,:,i)
3072 cd      enddo
3073 cd      call check_vecgrad
3074 cd      stop
3075       if (icheckgrad.eq.1) then
3076         do i=1,nres-1
3077           fac=1.0d0/dsqrt(scalar(dc(1,i),dc(1,i)))
3078           do k=1,3
3079             dc_norm(k,i)=dc(k,i)*fac
3080           enddo
3081 c          write (iout,*) 'i',i,' fac',fac
3082         enddo
3083       endif
3084       if (wel_loc.gt.0.0d0 .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 
3085      &    .or. wcorr6.gt.0.0d0 .or. wturn3.gt.0.0d0 .or. 
3086      &    wturn4.gt.0.0d0 .or. wturn6.gt.0.0d0) then
3087 c        call vec_and_deriv
3088 #ifdef TIMING
3089         time01=MPI_Wtime()
3090 #endif
3091         call set_matrices
3092 #ifdef TIMING
3093         time_mat=time_mat+MPI_Wtime()-time01
3094 #endif
3095       endif
3096 cd      do i=1,nres-1
3097 cd        write (iout,*) 'i=',i
3098 cd        do k=1,3
3099 cd        write (iout,'(i5,2f10.5)') k,uy(k,i),uz(k,i)
3100 cd        enddo
3101 cd        do k=1,3
3102 cd          write (iout,'(f10.5,2x,3f10.5,2x,3f10.5)') 
3103 cd     &     uz(k,i),(uzgrad(k,l,1,i),l=1,3),(uzgrad(k,l,2,i),l=1,3)
3104 cd        enddo
3105 cd      enddo
3106       t_eelecij=0.0d0
3107       ees=0.0D0
3108       evdw1=0.0D0
3109       eel_loc=0.0d0 
3110       eello_turn3=0.0d0
3111       eello_turn4=0.0d0
3112       ind=0
3113       do i=1,nres
3114         num_cont_hb(i)=0
3115       enddo
3116 cd      print '(a)','Enter EELEC'
3117 cd      write (iout,*) 'iatel_s=',iatel_s,' iatel_e=',iatel_e
3118       do i=1,nres
3119         gel_loc_loc(i)=0.0d0
3120         gcorr_loc(i)=0.0d0
3121       enddo
3122 c
3123 c
3124 c 9/27/08 AL Split the interaction loop to ensure load balancing of turn terms
3125 C
3126 C Loop over i,i+2 and i,i+3 pairs of the peptide groups
3127 C
3128       do i=iturn3_start,iturn3_end
3129         dxi=dc(1,i)
3130         dyi=dc(2,i)
3131         dzi=dc(3,i)
3132         dx_normi=dc_norm(1,i)
3133         dy_normi=dc_norm(2,i)
3134         dz_normi=dc_norm(3,i)
3135         xmedi=c(1,i)+0.5d0*dxi
3136         ymedi=c(2,i)+0.5d0*dyi
3137         zmedi=c(3,i)+0.5d0*dzi
3138         num_conti=0
3139         call eelecij(i,i+2,ees,evdw1,eel_loc)
3140         if (wturn3.gt.0.0d0) call eturn3(i,eello_turn3)
3141         num_cont_hb(i)=num_conti
3142       enddo
3143       do i=iturn4_start,iturn4_end
3144         dxi=dc(1,i)
3145         dyi=dc(2,i)
3146         dzi=dc(3,i)
3147         dx_normi=dc_norm(1,i)
3148         dy_normi=dc_norm(2,i)
3149         dz_normi=dc_norm(3,i)
3150         xmedi=c(1,i)+0.5d0*dxi
3151         ymedi=c(2,i)+0.5d0*dyi
3152         zmedi=c(3,i)+0.5d0*dzi
3153         num_conti=num_cont_hb(i)
3154         call eelecij(i,i+3,ees,evdw1,eel_loc)
3155         if (wturn4.gt.0.0d0) call eturn4(i,eello_turn4)
3156         num_cont_hb(i)=num_conti
3157       enddo   ! i
3158 c
3159 c Loop over all pairs of interacting peptide groups except i,i+2 and i,i+3
3160 c
3161       do i=iatel_s,iatel_e
3162         dxi=dc(1,i)
3163         dyi=dc(2,i)
3164         dzi=dc(3,i)
3165         dx_normi=dc_norm(1,i)
3166         dy_normi=dc_norm(2,i)
3167         dz_normi=dc_norm(3,i)
3168         xmedi=c(1,i)+0.5d0*dxi
3169         ymedi=c(2,i)+0.5d0*dyi
3170         zmedi=c(3,i)+0.5d0*dzi
3171 c        write (iout,*) 'i',i,' ielstart',ielstart(i),' ielend',ielend(i)
3172         num_conti=num_cont_hb(i)
3173         do j=ielstart(i),ielend(i)
3174           call eelecij(i,j,ees,evdw1,eel_loc)
3175         enddo ! j
3176         num_cont_hb(i)=num_conti
3177       enddo   ! i
3178 c      write (iout,*) "Number of loop steps in EELEC:",ind
3179 cd      do i=1,nres
3180 cd        write (iout,'(i3,3f10.5,5x,3f10.5)') 
3181 cd     &     i,(gel_loc(k,i),k=1,3),gel_loc_loc(i)
3182 cd      enddo
3183 c 12/7/99 Adam eello_turn3 will be considered as a separate energy term
3184 ccc      eel_loc=eel_loc+eello_turn3
3185 cd      print *,"Processor",fg_rank," t_eelecij",t_eelecij
3186       return
3187       end
3188 C-------------------------------------------------------------------------------
3189       subroutine eelecij(i,j,ees,evdw1,eel_loc)
3190       implicit real*8 (a-h,o-z)
3191       include 'DIMENSIONS'
3192 #ifdef MPI
3193       include "mpif.h"
3194 #endif
3195       include 'COMMON.CONTROL'
3196       include 'COMMON.IOUNITS'
3197       include 'COMMON.GEO'
3198       include 'COMMON.VAR'
3199       include 'COMMON.LOCAL'
3200       include 'COMMON.CHAIN'
3201       include 'COMMON.DERIV'
3202       include 'COMMON.INTERACT'
3203       include 'COMMON.CONTACTS'
3204       include 'COMMON.TORSION'
3205       include 'COMMON.VECTORS'
3206       include 'COMMON.FFIELD'
3207       include 'COMMON.TIME1'
3208       dimension ggg(3),gggp(3),gggm(3),erij(3),dcosb(3),dcosg(3),
3209      &          erder(3,3),uryg(3,3),urzg(3,3),vryg(3,3),vrzg(3,3)
3210       double precision acipa(2,2),agg(3,4),aggi(3,4),aggi1(3,4),
3211      &    aggj(3,4),aggj1(3,4),a_temp(2,2),muij(4)
3212       common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3213      &    dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3214      &    num_conti,j1,j2
3215 c 4/26/02 - AL scaling factor for 1,4 repulsive VDW interactions
3216 #ifdef MOMENT
3217       double precision scal_el /1.0d0/
3218 #else
3219       double precision scal_el /0.5d0/
3220 #endif
3221 C 12/13/98 
3222 C 13-go grudnia roku pamietnego... 
3223       double precision unmat(3,3) /1.0d0,0.0d0,0.0d0,
3224      &                   0.0d0,1.0d0,0.0d0,
3225      &                   0.0d0,0.0d0,1.0d0/
3226 c          time00=MPI_Wtime()
3227 cd      write (iout,*) "eelecij",i,j
3228 c          ind=ind+1
3229           iteli=itel(i)
3230           itelj=itel(j)
3231           if (j.eq.i+2 .and. itelj.eq.2) iteli=2
3232           aaa=app(iteli,itelj)
3233           bbb=bpp(iteli,itelj)
3234           ael6i=ael6(iteli,itelj)
3235           ael3i=ael3(iteli,itelj) 
3236           dxj=dc(1,j)
3237           dyj=dc(2,j)
3238           dzj=dc(3,j)
3239           dx_normj=dc_norm(1,j)
3240           dy_normj=dc_norm(2,j)
3241           dz_normj=dc_norm(3,j)
3242           xj=c(1,j)+0.5D0*dxj-xmedi
3243           yj=c(2,j)+0.5D0*dyj-ymedi
3244           zj=c(3,j)+0.5D0*dzj-zmedi
3245           rij=xj*xj+yj*yj+zj*zj
3246           rrmij=1.0D0/rij
3247           rij=dsqrt(rij)
3248           rmij=1.0D0/rij
3249           r3ij=rrmij*rmij
3250           r6ij=r3ij*r3ij  
3251           cosa=dx_normi*dx_normj+dy_normi*dy_normj+dz_normi*dz_normj
3252           cosb=(xj*dx_normi+yj*dy_normi+zj*dz_normi)*rmij
3253           cosg=(xj*dx_normj+yj*dy_normj+zj*dz_normj)*rmij
3254           fac=cosa-3.0D0*cosb*cosg
3255           ev1=aaa*r6ij*r6ij
3256 c 4/26/02 - AL scaling down 1,4 repulsive VDW interactions
3257           if (j.eq.i+2) ev1=scal_el*ev1
3258           ev2=bbb*r6ij
3259           fac3=ael6i*r6ij
3260           fac4=ael3i*r3ij
3261           evdwij=ev1+ev2
3262           el1=fac3*(4.0D0+fac*fac-3.0D0*(cosb*cosb+cosg*cosg))
3263           el2=fac4*fac       
3264           eesij=el1+el2
3265 C 12/26/95 - for the evaluation of multi-body H-bonding interactions
3266           ees0ij=4.0D0+fac*fac-3.0D0*(cosb*cosb+cosg*cosg)
3267           ees=ees+eesij
3268           evdw1=evdw1+evdwij
3269 cd          write(iout,'(2(2i3,2x),7(1pd12.4)/2(3(1pd12.4),5x)/)')
3270 cd     &      iteli,i,itelj,j,aaa,bbb,ael6i,ael3i,
3271 cd     &      1.0D0/dsqrt(rrmij),evdwij,eesij,
3272 cd     &      xmedi,ymedi,zmedi,xj,yj,zj
3273
3274           if (energy_dec) then 
3275               write (iout,'(a6,2i5,0pf7.3)') 'evdw1',i,j,evdwij
3276               write (iout,'(a6,2i5,0pf7.3)') 'ees',i,j,eesij
3277           endif
3278
3279 C
3280 C Calculate contributions to the Cartesian gradient.
3281 C
3282 #ifdef SPLITELE
3283           facvdw=-6*rrmij*(ev1+evdwij)
3284           facel=-3*rrmij*(el1+eesij)
3285           fac1=fac
3286           erij(1)=xj*rmij
3287           erij(2)=yj*rmij
3288           erij(3)=zj*rmij
3289 *
3290 * Radial derivatives. First process both termini of the fragment (i,j)
3291 *
3292           ggg(1)=facel*xj
3293           ggg(2)=facel*yj
3294           ggg(3)=facel*zj
3295 c          do k=1,3
3296 c            ghalf=0.5D0*ggg(k)
3297 c            gelc(k,i)=gelc(k,i)+ghalf
3298 c            gelc(k,j)=gelc(k,j)+ghalf
3299 c          enddo
3300 c 9/28/08 AL Gradient compotents will be summed only at the end
3301           do k=1,3
3302             gelc_long(k,j)=gelc_long(k,j)+ggg(k)
3303             gelc_long(k,i)=gelc_long(k,i)-ggg(k)
3304           enddo
3305 *
3306 * Loop over residues i+1 thru j-1.
3307 *
3308 cgrad          do k=i+1,j-1
3309 cgrad            do l=1,3
3310 cgrad              gelc(l,k)=gelc(l,k)+ggg(l)
3311 cgrad            enddo
3312 cgrad          enddo
3313           ggg(1)=facvdw*xj
3314           ggg(2)=facvdw*yj
3315           ggg(3)=facvdw*zj
3316 c          do k=1,3
3317 c            ghalf=0.5D0*ggg(k)
3318 c            gvdwpp(k,i)=gvdwpp(k,i)+ghalf
3319 c            gvdwpp(k,j)=gvdwpp(k,j)+ghalf
3320 c          enddo
3321 c 9/28/08 AL Gradient compotents will be summed only at the end
3322           do k=1,3
3323             gvdwpp(k,j)=gvdwpp(k,j)+ggg(k)
3324             gvdwpp(k,i)=gvdwpp(k,i)-ggg(k)
3325           enddo
3326 *
3327 * Loop over residues i+1 thru j-1.
3328 *
3329 cgrad          do k=i+1,j-1
3330 cgrad            do l=1,3
3331 cgrad              gvdwpp(l,k)=gvdwpp(l,k)+ggg(l)
3332 cgrad            enddo
3333 cgrad          enddo
3334 #else
3335           facvdw=ev1+evdwij 
3336           facel=el1+eesij  
3337           fac1=fac
3338           fac=-3*rrmij*(facvdw+facvdw+facel)
3339           erij(1)=xj*rmij
3340           erij(2)=yj*rmij
3341           erij(3)=zj*rmij
3342 *
3343 * Radial derivatives. First process both termini of the fragment (i,j)
3344
3345           ggg(1)=fac*xj
3346           ggg(2)=fac*yj
3347           ggg(3)=fac*zj
3348 c          do k=1,3
3349 c            ghalf=0.5D0*ggg(k)
3350 c            gelc(k,i)=gelc(k,i)+ghalf
3351 c            gelc(k,j)=gelc(k,j)+ghalf
3352 c          enddo
3353 c 9/28/08 AL Gradient compotents will be summed only at the end
3354           do k=1,3
3355             gelc_long(k,j)=gelc(k,j)+ggg(k)
3356             gelc_long(k,i)=gelc(k,i)-ggg(k)
3357           enddo
3358 *
3359 * Loop over residues i+1 thru j-1.
3360 *
3361 cgrad          do k=i+1,j-1
3362 cgrad            do l=1,3
3363 cgrad              gelc(l,k)=gelc(l,k)+ggg(l)
3364 cgrad            enddo
3365 cgrad          enddo
3366 c 9/28/08 AL Gradient compotents will be summed only at the end
3367           ggg(1)=facvdw*xj
3368           ggg(2)=facvdw*yj
3369           ggg(3)=facvdw*zj
3370           do k=1,3
3371             gvdwpp(k,j)=gvdwpp(k,j)+ggg(k)
3372             gvdwpp(k,i)=gvdwpp(k,i)-ggg(k)
3373           enddo
3374 #endif
3375 *
3376 * Angular part
3377 *          
3378           ecosa=2.0D0*fac3*fac1+fac4
3379           fac4=-3.0D0*fac4
3380           fac3=-6.0D0*fac3
3381           ecosb=(fac3*(fac1*cosg+cosb)+cosg*fac4)
3382           ecosg=(fac3*(fac1*cosb+cosg)+cosb*fac4)
3383           do k=1,3
3384             dcosb(k)=rmij*(dc_norm(k,i)-erij(k)*cosb)
3385             dcosg(k)=rmij*(dc_norm(k,j)-erij(k)*cosg)
3386           enddo
3387 cd        print '(2i3,2(3(1pd14.5),3x))',i,j,(dcosb(k),k=1,3),
3388 cd   &          (dcosg(k),k=1,3)
3389           do k=1,3
3390             ggg(k)=ecosb*dcosb(k)+ecosg*dcosg(k) 
3391           enddo
3392 c          do k=1,3
3393 c            ghalf=0.5D0*ggg(k)
3394 c            gelc(k,i)=gelc(k,i)+ghalf
3395 c     &               +(ecosa*(dc_norm(k,j)-cosa*dc_norm(k,i))
3396 c     &               + ecosb*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3397 c            gelc(k,j)=gelc(k,j)+ghalf
3398 c     &               +(ecosa*(dc_norm(k,i)-cosa*dc_norm(k,j))
3399 c     &               + ecosg*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3400 c          enddo
3401 cgrad          do k=i+1,j-1
3402 cgrad            do l=1,3
3403 cgrad              gelc(l,k)=gelc(l,k)+ggg(l)
3404 cgrad            enddo
3405 cgrad          enddo
3406           do k=1,3
3407             gelc(k,i)=gelc(k,i)
3408      &               +(ecosa*(dc_norm(k,j)-cosa*dc_norm(k,i))
3409      &               + ecosb*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3410             gelc(k,j)=gelc(k,j)
3411      &               +(ecosa*(dc_norm(k,i)-cosa*dc_norm(k,j))
3412      &               + ecosg*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3413             gelc_long(k,j)=gelc_long(k,j)+ggg(k)
3414             gelc_long(k,i)=gelc_long(k,i)-ggg(k)
3415           enddo
3416           IF (wel_loc.gt.0.0d0 .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0
3417      &        .or. wcorr6.gt.0.0d0 .or. wturn3.gt.0.0d0 
3418      &        .or. wturn4.gt.0.0d0 .or. wturn6.gt.0.0d0) THEN
3419 C
3420 C 9/25/99 Mixed third-order local-electrostatic terms. The local-interaction 
3421 C   energy of a peptide unit is assumed in the form of a second-order 
3422 C   Fourier series in the angles lambda1 and lambda2 (see Nishikawa et al.
3423 C   Macromolecules, 1974, 7, 797-806 for definition). This correlation terms
3424 C   are computed for EVERY pair of non-contiguous peptide groups.
3425 C
3426           if (j.lt.nres-1) then
3427             j1=j+1
3428             j2=j-1
3429           else
3430             j1=j-1
3431             j2=j-2
3432           endif
3433           kkk=0
3434           do k=1,2
3435             do l=1,2
3436               kkk=kkk+1
3437               muij(kkk)=mu(k,i)*mu(l,j)
3438             enddo
3439           enddo  
3440 cd         write (iout,*) 'EELEC: i',i,' j',j
3441 cd          write (iout,*) 'j',j,' j1',j1,' j2',j2
3442 cd          write(iout,*) 'muij',muij
3443           ury=scalar(uy(1,i),erij)
3444           urz=scalar(uz(1,i),erij)
3445           vry=scalar(uy(1,j),erij)
3446           vrz=scalar(uz(1,j),erij)
3447           a22=scalar(uy(1,i),uy(1,j))-3*ury*vry
3448           a23=scalar(uy(1,i),uz(1,j))-3*ury*vrz
3449           a32=scalar(uz(1,i),uy(1,j))-3*urz*vry
3450           a33=scalar(uz(1,i),uz(1,j))-3*urz*vrz
3451           fac=dsqrt(-ael6i)*r3ij
3452           a22=a22*fac
3453           a23=a23*fac
3454           a32=a32*fac
3455           a33=a33*fac
3456 cd          write (iout,'(4i5,4f10.5)')
3457 cd     &     i,itortyp(itype(i)),j,itortyp(itype(j)),a22,a23,a32,a33
3458 cd          write (iout,'(6f10.5)') (muij(k),k=1,4),fac,eel_loc_ij
3459 cd          write (iout,'(2(3f10.5,5x)/2(3f10.5,5x))') uy(:,i),uz(:,i),
3460 cd     &      uy(:,j),uz(:,j)
3461 cd          write (iout,'(4f10.5)') 
3462 cd     &      scalar(uy(1,i),uy(1,j)),scalar(uy(1,i),uz(1,j)),
3463 cd     &      scalar(uz(1,i),uy(1,j)),scalar(uz(1,i),uz(1,j))
3464 cd          write (iout,'(4f10.5)') ury,urz,vry,vrz
3465 cd           write (iout,'(9f10.5/)') 
3466 cd     &      fac22,a22,fac23,a23,fac32,a32,fac33,a33,eel_loc_ij
3467 C Derivatives of the elements of A in virtual-bond vectors
3468           call unormderiv(erij(1),unmat(1,1),rmij,erder(1,1))
3469           do k=1,3
3470             uryg(k,1)=scalar(erder(1,k),uy(1,i))
3471             uryg(k,2)=scalar(uygrad(1,k,1,i),erij(1))
3472             uryg(k,3)=scalar(uygrad(1,k,2,i),erij(1))
3473             urzg(k,1)=scalar(erder(1,k),uz(1,i))
3474             urzg(k,2)=scalar(uzgrad(1,k,1,i),erij(1))
3475             urzg(k,3)=scalar(uzgrad(1,k,2,i),erij(1))
3476             vryg(k,1)=scalar(erder(1,k),uy(1,j))
3477             vryg(k,2)=scalar(uygrad(1,k,1,j),erij(1))
3478             vryg(k,3)=scalar(uygrad(1,k,2,j),erij(1))
3479             vrzg(k,1)=scalar(erder(1,k),uz(1,j))
3480             vrzg(k,2)=scalar(uzgrad(1,k,1,j),erij(1))
3481             vrzg(k,3)=scalar(uzgrad(1,k,2,j),erij(1))
3482           enddo
3483 C Compute radial contributions to the gradient
3484           facr=-3.0d0*rrmij
3485           a22der=a22*facr
3486           a23der=a23*facr
3487           a32der=a32*facr
3488           a33der=a33*facr
3489           agg(1,1)=a22der*xj
3490           agg(2,1)=a22der*yj
3491           agg(3,1)=a22der*zj
3492           agg(1,2)=a23der*xj
3493           agg(2,2)=a23der*yj
3494           agg(3,2)=a23der*zj
3495           agg(1,3)=a32der*xj
3496           agg(2,3)=a32der*yj
3497           agg(3,3)=a32der*zj
3498           agg(1,4)=a33der*xj
3499           agg(2,4)=a33der*yj
3500           agg(3,4)=a33der*zj
3501 C Add the contributions coming from er
3502           fac3=-3.0d0*fac
3503           do k=1,3
3504             agg(k,1)=agg(k,1)+fac3*(uryg(k,1)*vry+vryg(k,1)*ury)
3505             agg(k,2)=agg(k,2)+fac3*(uryg(k,1)*vrz+vrzg(k,1)*ury)
3506             agg(k,3)=agg(k,3)+fac3*(urzg(k,1)*vry+vryg(k,1)*urz)
3507             agg(k,4)=agg(k,4)+fac3*(urzg(k,1)*vrz+vrzg(k,1)*urz)
3508           enddo
3509           do k=1,3
3510 C Derivatives in DC(i) 
3511 cgrad            ghalf1=0.5d0*agg(k,1)
3512 cgrad            ghalf2=0.5d0*agg(k,2)
3513 cgrad            ghalf3=0.5d0*agg(k,3)
3514 cgrad            ghalf4=0.5d0*agg(k,4)
3515             aggi(k,1)=fac*(scalar(uygrad(1,k,1,i),uy(1,j))
3516      &      -3.0d0*uryg(k,2)*vry)!+ghalf1
3517             aggi(k,2)=fac*(scalar(uygrad(1,k,1,i),uz(1,j))
3518      &      -3.0d0*uryg(k,2)*vrz)!+ghalf2
3519             aggi(k,3)=fac*(scalar(uzgrad(1,k,1,i),uy(1,j))
3520      &      -3.0d0*urzg(k,2)*vry)!+ghalf3
3521             aggi(k,4)=fac*(scalar(uzgrad(1,k,1,i),uz(1,j))
3522      &      -3.0d0*urzg(k,2)*vrz)!+ghalf4
3523 C Derivatives in DC(i+1)
3524             aggi1(k,1)=fac*(scalar(uygrad(1,k,2,i),uy(1,j))
3525      &      -3.0d0*uryg(k,3)*vry)!+agg(k,1)
3526             aggi1(k,2)=fac*(scalar(uygrad(1,k,2,i),uz(1,j))
3527      &      -3.0d0*uryg(k,3)*vrz)!+agg(k,2)
3528             aggi1(k,3)=fac*(scalar(uzgrad(1,k,2,i),uy(1,j))
3529      &      -3.0d0*urzg(k,3)*vry)!+agg(k,3)
3530             aggi1(k,4)=fac*(scalar(uzgrad(1,k,2,i),uz(1,j))
3531      &      -3.0d0*urzg(k,3)*vrz)!+agg(k,4)
3532 C Derivatives in DC(j)
3533             aggj(k,1)=fac*(scalar(uygrad(1,k,1,j),uy(1,i))
3534      &      -3.0d0*vryg(k,2)*ury)!+ghalf1
3535             aggj(k,2)=fac*(scalar(uzgrad(1,k,1,j),uy(1,i))
3536      &      -3.0d0*vrzg(k,2)*ury)!+ghalf2
3537             aggj(k,3)=fac*(scalar(uygrad(1,k,1,j),uz(1,i))
3538      &      -3.0d0*vryg(k,2)*urz)!+ghalf3
3539             aggj(k,4)=fac*(scalar(uzgrad(1,k,1,j),uz(1,i)) 
3540      &      -3.0d0*vrzg(k,2)*urz)!+ghalf4
3541 C Derivatives in DC(j+1) or DC(nres-1)
3542             aggj1(k,1)=fac*(scalar(uygrad(1,k,2,j),uy(1,i))
3543      &      -3.0d0*vryg(k,3)*ury)
3544             aggj1(k,2)=fac*(scalar(uzgrad(1,k,2,j),uy(1,i))
3545      &      -3.0d0*vrzg(k,3)*ury)
3546             aggj1(k,3)=fac*(scalar(uygrad(1,k,2,j),uz(1,i))
3547      &      -3.0d0*vryg(k,3)*urz)
3548             aggj1(k,4)=fac*(scalar(uzgrad(1,k,2,j),uz(1,i)) 
3549      &      -3.0d0*vrzg(k,3)*urz)
3550 cgrad            if (j.eq.nres-1 .and. i.lt.j-2) then
3551 cgrad              do l=1,4
3552 cgrad                aggj1(k,l)=aggj1(k,l)+agg(k,l)
3553 cgrad              enddo
3554 cgrad            endif
3555           enddo
3556           acipa(1,1)=a22
3557           acipa(1,2)=a23
3558           acipa(2,1)=a32
3559           acipa(2,2)=a33
3560           a22=-a22
3561           a23=-a23
3562           do l=1,2
3563             do k=1,3
3564               agg(k,l)=-agg(k,l)
3565               aggi(k,l)=-aggi(k,l)
3566               aggi1(k,l)=-aggi1(k,l)
3567               aggj(k,l)=-aggj(k,l)
3568               aggj1(k,l)=-aggj1(k,l)
3569             enddo
3570           enddo
3571           if (j.lt.nres-1) then
3572             a22=-a22
3573             a32=-a32
3574             do l=1,3,2
3575               do k=1,3
3576                 agg(k,l)=-agg(k,l)
3577                 aggi(k,l)=-aggi(k,l)
3578                 aggi1(k,l)=-aggi1(k,l)
3579                 aggj(k,l)=-aggj(k,l)
3580                 aggj1(k,l)=-aggj1(k,l)
3581               enddo
3582             enddo
3583           else
3584             a22=-a22
3585             a23=-a23
3586             a32=-a32
3587             a33=-a33
3588             do l=1,4
3589               do k=1,3
3590                 agg(k,l)=-agg(k,l)
3591                 aggi(k,l)=-aggi(k,l)
3592                 aggi1(k,l)=-aggi1(k,l)
3593                 aggj(k,l)=-aggj(k,l)
3594                 aggj1(k,l)=-aggj1(k,l)
3595               enddo
3596             enddo 
3597           endif    
3598           ENDIF ! WCORR
3599           IF (wel_loc.gt.0.0d0) THEN
3600 C Contribution to the local-electrostatic energy coming from the i-j pair
3601           eel_loc_ij=a22*muij(1)+a23*muij(2)+a32*muij(3)
3602      &     +a33*muij(4)
3603 cd          write (iout,*) 'i',i,' j',j,' eel_loc_ij',eel_loc_ij
3604
3605           if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
3606      &            'eelloc',i,j,eel_loc_ij
3607
3608           eel_loc=eel_loc+eel_loc_ij
3609 C Partial derivatives in virtual-bond dihedral angles gamma
3610           if (i.gt.1)
3611      &    gel_loc_loc(i-1)=gel_loc_loc(i-1)+ 
3612      &            a22*muder(1,i)*mu(1,j)+a23*muder(1,i)*mu(2,j)
3613      &           +a32*muder(2,i)*mu(1,j)+a33*muder(2,i)*mu(2,j)
3614           gel_loc_loc(j-1)=gel_loc_loc(j-1)+ 
3615      &            a22*mu(1,i)*muder(1,j)+a23*mu(1,i)*muder(2,j)
3616      &           +a32*mu(2,i)*muder(1,j)+a33*mu(2,i)*muder(2,j)
3617 C Derivatives of eello in DC(i+1) thru DC(j-1) or DC(nres-2)
3618           do l=1,3
3619             ggg(l)=agg(l,1)*muij(1)+
3620      &          agg(l,2)*muij(2)+agg(l,3)*muij(3)+agg(l,4)*muij(4)
3621             gel_loc_long(l,j)=gel_loc_long(l,j)+ggg(l)
3622             gel_loc_long(l,i)=gel_loc_long(l,i)-ggg(l)
3623 cgrad            ghalf=0.5d0*ggg(l)
3624 cgrad            gel_loc(l,i)=gel_loc(l,i)+ghalf
3625 cgrad            gel_loc(l,j)=gel_loc(l,j)+ghalf
3626           enddo
3627 cgrad          do k=i+1,j2
3628 cgrad            do l=1,3
3629 cgrad              gel_loc(l,k)=gel_loc(l,k)+ggg(l)
3630 cgrad            enddo
3631 cgrad          enddo
3632 C Remaining derivatives of eello
3633           do l=1,3
3634             gel_loc(l,i)=gel_loc(l,i)+aggi(l,1)*muij(1)+
3635      &          aggi(l,2)*muij(2)+aggi(l,3)*muij(3)+aggi(l,4)*muij(4)
3636             gel_loc(l,i+1)=gel_loc(l,i+1)+aggi1(l,1)*muij(1)+
3637      &          aggi1(l,2)*muij(2)+aggi1(l,3)*muij(3)+aggi1(l,4)*muij(4)
3638             gel_loc(l,j)=gel_loc(l,j)+aggj(l,1)*muij(1)+
3639      &          aggj(l,2)*muij(2)+aggj(l,3)*muij(3)+aggj(l,4)*muij(4)
3640             gel_loc(l,j1)=gel_loc(l,j1)+aggj1(l,1)*muij(1)+
3641      &          aggj1(l,2)*muij(2)+aggj1(l,3)*muij(3)+aggj1(l,4)*muij(4)
3642           enddo
3643           ENDIF
3644 C Change 12/26/95 to calculate four-body contributions to H-bonding energy
3645 c          if (j.gt.i+1 .and. num_conti.le.maxconts) then
3646           if (wcorr+wcorr4+wcorr5+wcorr6.gt.0.0d0
3647      &       .and. num_conti.le.maxconts) then
3648 c            write (iout,*) i,j," entered corr"
3649 C
3650 C Calculate the contact function. The ith column of the array JCONT will 
3651 C contain the numbers of atoms that make contacts with the atom I (of numbers
3652 C greater than I). The arrays FACONT and GACONT will contain the values of
3653 C the contact function and its derivative.
3654 c           r0ij=1.02D0*rpp(iteli,itelj)
3655 c           r0ij=1.11D0*rpp(iteli,itelj)
3656             r0ij=2.20D0*rpp(iteli,itelj)
3657 c           r0ij=1.55D0*rpp(iteli,itelj)
3658             call gcont(rij,r0ij,1.0D0,0.2d0*r0ij,fcont,fprimcont)
3659             if (fcont.gt.0.0D0) then
3660               num_conti=num_conti+1
3661               if (num_conti.gt.maxconts) then
3662                 write (iout,*) 'WARNING - max. # of contacts exceeded;',
3663      &                         ' will skip next contacts for this conf.'
3664               else
3665                 jcont_hb(num_conti,i)=j
3666 cd                write (iout,*) "i",i," j",j," num_conti",num_conti,
3667 cd     &           " jcont_hb",jcont_hb(num_conti,i)
3668                 IF (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. 
3669      &          wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0) THEN
3670 C 9/30/99 (AL) - store components necessary to evaluate higher-order loc-el
3671 C  terms.
3672                 d_cont(num_conti,i)=rij
3673 cd                write (2,'(3e15.5)') rij,r0ij+0.2d0*r0ij,rij
3674 C     --- Electrostatic-interaction matrix --- 
3675                 a_chuj(1,1,num_conti,i)=a22
3676                 a_chuj(1,2,num_conti,i)=a23
3677                 a_chuj(2,1,num_conti,i)=a32
3678                 a_chuj(2,2,num_conti,i)=a33
3679 C     --- Gradient of rij
3680                 do kkk=1,3
3681                   grij_hb_cont(kkk,num_conti,i)=erij(kkk)
3682                 enddo
3683                 kkll=0
3684                 do k=1,2
3685                   do l=1,2
3686                     kkll=kkll+1
3687                     do m=1,3
3688                       a_chuj_der(k,l,m,1,num_conti,i)=agg(m,kkll)
3689                       a_chuj_der(k,l,m,2,num_conti,i)=aggi(m,kkll)
3690                       a_chuj_der(k,l,m,3,num_conti,i)=aggi1(m,kkll)
3691                       a_chuj_der(k,l,m,4,num_conti,i)=aggj(m,kkll)
3692                       a_chuj_der(k,l,m,5,num_conti,i)=aggj1(m,kkll)
3693                     enddo
3694                   enddo
3695                 enddo
3696                 ENDIF
3697                 IF (wcorr4.eq.0.0d0 .and. wcorr.gt.0.0d0) THEN
3698 C Calculate contact energies
3699                 cosa4=4.0D0*cosa
3700                 wij=cosa-3.0D0*cosb*cosg
3701                 cosbg1=cosb+cosg
3702                 cosbg2=cosb-cosg
3703 c               fac3=dsqrt(-ael6i)/r0ij**3     
3704                 fac3=dsqrt(-ael6i)*r3ij
3705 c                 ees0pij=dsqrt(4.0D0+cosa4+wij*wij-3.0D0*cosbg1*cosbg1)
3706                 ees0tmp=4.0D0+cosa4+wij*wij-3.0D0*cosbg1*cosbg1
3707                 if (ees0tmp.gt.0) then
3708                   ees0pij=dsqrt(ees0tmp)
3709                 else
3710                   ees0pij=0
3711                 endif
3712 c                ees0mij=dsqrt(4.0D0-cosa4+wij*wij-3.0D0*cosbg2*cosbg2)
3713                 ees0tmp=4.0D0-cosa4+wij*wij-3.0D0*cosbg2*cosbg2
3714                 if (ees0tmp.gt.0) then
3715                   ees0mij=dsqrt(ees0tmp)
3716                 else
3717                   ees0mij=0
3718                 endif
3719 c               ees0mij=0.0D0
3720                 ees0p(num_conti,i)=0.5D0*fac3*(ees0pij+ees0mij)
3721                 ees0m(num_conti,i)=0.5D0*fac3*(ees0pij-ees0mij)
3722 C Diagnostics. Comment out or remove after debugging!
3723 c               ees0p(num_conti,i)=0.5D0*fac3*ees0pij
3724 c               ees0m(num_conti,i)=0.5D0*fac3*ees0mij
3725 c               ees0m(num_conti,i)=0.0D0
3726 C End diagnostics.
3727 c               write (iout,*) 'i=',i,' j=',j,' rij=',rij,' r0ij=',r0ij,
3728 c    & ' ees0ij=',ees0p(num_conti,i),ees0m(num_conti,i),' fcont=',fcont
3729 C Angular derivatives of the contact function
3730                 ees0pij1=fac3/ees0pij 
3731                 ees0mij1=fac3/ees0mij
3732                 fac3p=-3.0D0*fac3*rrmij
3733                 ees0pijp=0.5D0*fac3p*(ees0pij+ees0mij)
3734                 ees0mijp=0.5D0*fac3p*(ees0pij-ees0mij)
3735 c               ees0mij1=0.0D0
3736                 ecosa1=       ees0pij1*( 1.0D0+0.5D0*wij)
3737                 ecosb1=-1.5D0*ees0pij1*(wij*cosg+cosbg1)
3738                 ecosg1=-1.5D0*ees0pij1*(wij*cosb+cosbg1)
3739                 ecosa2=       ees0mij1*(-1.0D0+0.5D0*wij)
3740                 ecosb2=-1.5D0*ees0mij1*(wij*cosg+cosbg2) 
3741                 ecosg2=-1.5D0*ees0mij1*(wij*cosb-cosbg2)
3742                 ecosap=ecosa1+ecosa2
3743                 ecosbp=ecosb1+ecosb2
3744                 ecosgp=ecosg1+ecosg2
3745                 ecosam=ecosa1-ecosa2
3746                 ecosbm=ecosb1-ecosb2
3747                 ecosgm=ecosg1-ecosg2
3748 C Diagnostics
3749 c               ecosap=ecosa1
3750 c               ecosbp=ecosb1
3751 c               ecosgp=ecosg1
3752 c               ecosam=0.0D0
3753 c               ecosbm=0.0D0
3754 c               ecosgm=0.0D0
3755 C End diagnostics
3756                 facont_hb(num_conti,i)=fcont
3757                 fprimcont=fprimcont/rij
3758 cd              facont_hb(num_conti,i)=1.0D0
3759 C Following line is for diagnostics.
3760 cd              fprimcont=0.0D0
3761                 do k=1,3
3762                   dcosb(k)=rmij*(dc_norm(k,i)-erij(k)*cosb)
3763                   dcosg(k)=rmij*(dc_norm(k,j)-erij(k)*cosg)
3764                 enddo
3765                 do k=1,3
3766                   gggp(k)=ecosbp*dcosb(k)+ecosgp*dcosg(k)
3767                   gggm(k)=ecosbm*dcosb(k)+ecosgm*dcosg(k)
3768                 enddo
3769                 gggp(1)=gggp(1)+ees0pijp*xj
3770                 gggp(2)=gggp(2)+ees0pijp*yj
3771                 gggp(3)=gggp(3)+ees0pijp*zj
3772                 gggm(1)=gggm(1)+ees0mijp*xj
3773                 gggm(2)=gggm(2)+ees0mijp*yj
3774                 gggm(3)=gggm(3)+ees0mijp*zj
3775 C Derivatives due to the contact function
3776                 gacont_hbr(1,num_conti,i)=fprimcont*xj
3777                 gacont_hbr(2,num_conti,i)=fprimcont*yj
3778                 gacont_hbr(3,num_conti,i)=fprimcont*zj
3779                 do k=1,3
3780 c
3781 c 10/24/08 cgrad and ! comments indicate the parts of the code removed 
3782 c          following the change of gradient-summation algorithm.
3783 c
3784 cgrad                  ghalfp=0.5D0*gggp(k)
3785 cgrad                  ghalfm=0.5D0*gggm(k)
3786                   gacontp_hb1(k,num_conti,i)=!ghalfp
3787      &              +(ecosap*(dc_norm(k,j)-cosa*dc_norm(k,i))
3788      &              + ecosbp*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3789                   gacontp_hb2(k,num_conti,i)=!ghalfp
3790      &              +(ecosap*(dc_norm(k,i)-cosa*dc_norm(k,j))
3791      &              + ecosgp*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3792                   gacontp_hb3(k,num_conti,i)=gggp(k)
3793                   gacontm_hb1(k,num_conti,i)=!ghalfm
3794      &              +(ecosam*(dc_norm(k,j)-cosa*dc_norm(k,i))
3795      &              + ecosbm*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3796                   gacontm_hb2(k,num_conti,i)=!ghalfm
3797      &              +(ecosam*(dc_norm(k,i)-cosa*dc_norm(k,j))
3798      &              + ecosgm*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3799                   gacontm_hb3(k,num_conti,i)=gggm(k)
3800                 enddo
3801 C Diagnostics. Comment out or remove after debugging!
3802 cdiag           do k=1,3
3803 cdiag             gacontp_hb1(k,num_conti,i)=0.0D0
3804 cdiag             gacontp_hb2(k,num_conti,i)=0.0D0
3805 cdiag             gacontp_hb3(k,num_conti,i)=0.0D0
3806 cdiag             gacontm_hb1(k,num_conti,i)=0.0D0
3807 cdiag             gacontm_hb2(k,num_conti,i)=0.0D0
3808 cdiag             gacontm_hb3(k,num_conti,i)=0.0D0
3809 cdiag           enddo
3810               ENDIF ! wcorr
3811               endif  ! num_conti.le.maxconts
3812             endif  ! fcont.gt.0
3813           endif    ! j.gt.i+1
3814           if (wturn3.gt.0.0d0 .or. wturn4.gt.0.0d0) then
3815             do k=1,4
3816               do l=1,3
3817                 ghalf=0.5d0*agg(l,k)
3818                 aggi(l,k)=aggi(l,k)+ghalf
3819                 aggi1(l,k)=aggi1(l,k)+agg(l,k)
3820                 aggj(l,k)=aggj(l,k)+ghalf
3821               enddo
3822             enddo
3823             if (j.eq.nres-1 .and. i.lt.j-2) then
3824               do k=1,4
3825                 do l=1,3
3826                   aggj1(l,k)=aggj1(l,k)+agg(l,k)
3827                 enddo
3828               enddo
3829             endif
3830           endif
3831 c          t_eelecij=t_eelecij+MPI_Wtime()-time00
3832       return
3833       end
3834 C-----------------------------------------------------------------------------
3835       subroutine eturn3(i,eello_turn3)
3836 C Third- and fourth-order contributions from turns
3837       implicit real*8 (a-h,o-z)
3838       include 'DIMENSIONS'
3839       include 'COMMON.IOUNITS'
3840       include 'COMMON.GEO'
3841       include 'COMMON.VAR'
3842       include 'COMMON.LOCAL'
3843       include 'COMMON.CHAIN'
3844       include 'COMMON.DERIV'
3845       include 'COMMON.INTERACT'
3846       include 'COMMON.CONTACTS'
3847       include 'COMMON.TORSION'
3848       include 'COMMON.VECTORS'
3849       include 'COMMON.FFIELD'
3850       include 'COMMON.CONTROL'
3851       dimension ggg(3)
3852       double precision auxmat(2,2),auxmat1(2,2),auxmat2(2,2),pizda(2,2),
3853      &  e1t(2,2),e2t(2,2),e3t(2,2),e1tder(2,2),e2tder(2,2),e3tder(2,2),
3854      &  e1a(2,2),ae3(2,2),ae3e2(2,2),auxvec(2),auxvec1(2)
3855       double precision agg(3,4),aggi(3,4),aggi1(3,4),
3856      &    aggj(3,4),aggj1(3,4),a_temp(2,2),auxmat3(2,2)
3857       common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3858      &    dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3859      &    num_conti,j1,j2
3860       j=i+2
3861 c      write (iout,*) "eturn3",i,j,j1,j2
3862       a_temp(1,1)=a22
3863       a_temp(1,2)=a23
3864       a_temp(2,1)=a32
3865       a_temp(2,2)=a33
3866 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3867 C
3868 C               Third-order contributions
3869 C        
3870 C                 (i+2)o----(i+3)
3871 C                      | |
3872 C                      | |
3873 C                 (i+1)o----i
3874 C
3875 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC   
3876 cd        call checkint_turn3(i,a_temp,eello_turn3_num)
3877         call matmat2(EUg(1,1,i+1),EUg(1,1,i+2),auxmat(1,1))
3878         call transpose2(auxmat(1,1),auxmat1(1,1))
3879         call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3880         eello_turn3=eello_turn3+0.5d0*(pizda(1,1)+pizda(2,2))
3881         if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
3882      &          'eturn3',i,j,0.5d0*(pizda(1,1)+pizda(2,2))
3883 cd        write (2,*) 'i,',i,' j',j,'eello_turn3',
3884 cd     &    0.5d0*(pizda(1,1)+pizda(2,2)),
3885 cd     &    ' eello_turn3_num',4*eello_turn3_num
3886 C Derivatives in gamma(i)
3887         call matmat2(EUgder(1,1,i+1),EUg(1,1,i+2),auxmat2(1,1))
3888         call transpose2(auxmat2(1,1),auxmat3(1,1))
3889         call matmat2(a_temp(1,1),auxmat3(1,1),pizda(1,1))
3890         gel_loc_turn3(i)=gel_loc_turn3(i)+0.5d0*(pizda(1,1)+pizda(2,2))
3891 C Derivatives in gamma(i+1)
3892         call matmat2(EUg(1,1,i+1),EUgder(1,1,i+2),auxmat2(1,1))
3893         call transpose2(auxmat2(1,1),auxmat3(1,1))
3894         call matmat2(a_temp(1,1),auxmat3(1,1),pizda(1,1))
3895         gel_loc_turn3(i+1)=gel_loc_turn3(i+1)
3896      &    +0.5d0*(pizda(1,1)+pizda(2,2))
3897 C Cartesian derivatives
3898 !DIR$ UNROLL(0)
3899         do l=1,3
3900 c            ghalf1=0.5d0*agg(l,1)
3901 c            ghalf2=0.5d0*agg(l,2)
3902 c            ghalf3=0.5d0*agg(l,3)
3903 c            ghalf4=0.5d0*agg(l,4)
3904           a_temp(1,1)=aggi(l,1)!+ghalf1
3905           a_temp(1,2)=aggi(l,2)!+ghalf2
3906           a_temp(2,1)=aggi(l,3)!+ghalf3
3907           a_temp(2,2)=aggi(l,4)!+ghalf4
3908           call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3909           gcorr3_turn(l,i)=gcorr3_turn(l,i)
3910      &      +0.5d0*(pizda(1,1)+pizda(2,2))
3911           a_temp(1,1)=aggi1(l,1)!+agg(l,1)
3912           a_temp(1,2)=aggi1(l,2)!+agg(l,2)
3913           a_temp(2,1)=aggi1(l,3)!+agg(l,3)
3914           a_temp(2,2)=aggi1(l,4)!+agg(l,4)
3915           call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3916           gcorr3_turn(l,i+1)=gcorr3_turn(l,i+1)
3917      &      +0.5d0*(pizda(1,1)+pizda(2,2))
3918           a_temp(1,1)=aggj(l,1)!+ghalf1
3919           a_temp(1,2)=aggj(l,2)!+ghalf2
3920           a_temp(2,1)=aggj(l,3)!+ghalf3
3921           a_temp(2,2)=aggj(l,4)!+ghalf4
3922           call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3923           gcorr3_turn(l,j)=gcorr3_turn(l,j)
3924      &      +0.5d0*(pizda(1,1)+pizda(2,2))
3925           a_temp(1,1)=aggj1(l,1)
3926           a_temp(1,2)=aggj1(l,2)
3927           a_temp(2,1)=aggj1(l,3)
3928           a_temp(2,2)=aggj1(l,4)
3929           call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3930           gcorr3_turn(l,j1)=gcorr3_turn(l,j1)
3931      &      +0.5d0*(pizda(1,1)+pizda(2,2))
3932         enddo
3933       return
3934       end
3935 C-------------------------------------------------------------------------------
3936       subroutine eturn4(i,eello_turn4)
3937 C Third- and fourth-order contributions from turns
3938       implicit real*8 (a-h,o-z)
3939       include 'DIMENSIONS'
3940       include 'COMMON.IOUNITS'
3941       include 'COMMON.GEO'
3942       include 'COMMON.VAR'
3943       include 'COMMON.LOCAL'
3944       include 'COMMON.CHAIN'
3945       include 'COMMON.DERIV'
3946       include 'COMMON.INTERACT'
3947       include 'COMMON.CONTACTS'
3948       include 'COMMON.TORSION'
3949       include 'COMMON.VECTORS'
3950       include 'COMMON.FFIELD'
3951       include 'COMMON.CONTROL'
3952       dimension ggg(3)
3953       double precision auxmat(2,2),auxmat1(2,2),auxmat2(2,2),pizda(2,2),
3954      &  e1t(2,2),e2t(2,2),e3t(2,2),e1tder(2,2),e2tder(2,2),e3tder(2,2),
3955      &  e1a(2,2),ae3(2,2),ae3e2(2,2),auxvec(2),auxvec1(2)
3956       double precision agg(3,4),aggi(3,4),aggi1(3,4),
3957      &    aggj(3,4),aggj1(3,4),a_temp(2,2),auxmat3(2,2)
3958       common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3959      &    dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3960      &    num_conti,j1,j2
3961       j=i+3
3962 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3963 C
3964 C               Fourth-order contributions
3965 C        
3966 C                 (i+3)o----(i+4)
3967 C                     /  |
3968 C               (i+2)o   |
3969 C                     \  |
3970 C                 (i+1)o----i
3971 C
3972 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC   
3973 cd        call checkint_turn4(i,a_temp,eello_turn4_num)
3974 c        write (iout,*) "eturn4 i",i," j",j," j1",j1," j2",j2
3975         a_temp(1,1)=a22
3976         a_temp(1,2)=a23
3977         a_temp(2,1)=a32
3978         a_temp(2,2)=a33
3979         iti1=itortyp(itype(i+1))
3980         iti2=itortyp(itype(i+2))
3981         iti3=itortyp(itype(i+3))
3982 c        write(iout,*) "iti1",iti1," iti2",iti2," iti3",iti3
3983         call transpose2(EUg(1,1,i+1),e1t(1,1))
3984         call transpose2(Eug(1,1,i+2),e2t(1,1))
3985         call transpose2(Eug(1,1,i+3),e3t(1,1))
3986         call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3987         call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3988         s1=scalar2(b1(1,iti2),auxvec(1))
3989         call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3990         call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1)) 
3991         s2=scalar2(b1(1,iti1),auxvec(1))
3992         call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3993         call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3994         s3=0.5d0*(pizda(1,1)+pizda(2,2))
3995         eello_turn4=eello_turn4-(s1+s2+s3)
3996         if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
3997      &      'eturn4',i,j,-(s1+s2+s3)
3998 cd        write (2,*) 'i,',i,' j',j,'eello_turn4',-(s1+s2+s3),
3999 cd     &    ' eello_turn4_num',8*eello_turn4_num
4000 C Derivatives in gamma(i)
4001         call transpose2(EUgder(1,1,i+1),e1tder(1,1))
4002         call matmat2(e1tder(1,1),a_temp(1,1),auxmat(1,1))
4003         call matvec2(auxmat(1,1),Ub2(1,i+3),auxvec(1))
4004         s1=scalar2(b1(1,iti2),auxvec(1))
4005         call matmat2(ae3e2(1,1),e1tder(1,1),pizda(1,1))
4006         s3=0.5d0*(pizda(1,1)+pizda(2,2))
4007         gel_loc_turn4(i)=gel_loc_turn4(i)-(s1+s3)
4008 C Derivatives in gamma(i+1)
4009         call transpose2(EUgder(1,1,i+2),e2tder(1,1))
4010         call matvec2(ae3(1,1),Ub2der(1,i+2),auxvec(1)) 
4011         s2=scalar2(b1(1,iti1),auxvec(1))
4012         call matmat2(ae3(1,1),e2tder(1,1),auxmat(1,1))
4013         call matmat2(auxmat(1,1),e1t(1,1),pizda(1,1))
4014         s3=0.5d0*(pizda(1,1)+pizda(2,2))
4015         gel_loc_turn4(i+1)=gel_loc_turn4(i+1)-(s2+s3)
4016 C Derivatives in gamma(i+2)
4017         call transpose2(EUgder(1,1,i+3),e3tder(1,1))
4018         call matvec2(e1a(1,1),Ub2der(1,i+3),auxvec(1))
4019         s1=scalar2(b1(1,iti2),auxvec(1))
4020         call matmat2(a_temp(1,1),e3tder(1,1),auxmat(1,1))
4021         call matvec2(auxmat(1,1),Ub2(1,i+2),auxvec(1)) 
4022         s2=scalar2(b1(1,iti1),auxvec(1))
4023         call matmat2(auxmat(1,1),e2t(1,1),auxmat3(1,1))
4024         call matmat2(auxmat3(1,1),e1t(1,1),pizda(1,1))
4025         s3=0.5d0*(pizda(1,1)+pizda(2,2))
4026         gel_loc_turn4(i+2)=gel_loc_turn4(i+2)-(s1+s2+s3)
4027 C Cartesian derivatives
4028 C Derivatives of this turn contributions in DC(i+2)
4029         if (j.lt.nres-1) then
4030           do l=1,3
4031             a_temp(1,1)=agg(l,1)
4032             a_temp(1,2)=agg(l,2)
4033             a_temp(2,1)=agg(l,3)
4034             a_temp(2,2)=agg(l,4)
4035             call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
4036             call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
4037             s1=scalar2(b1(1,iti2),auxvec(1))
4038             call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
4039             call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1)) 
4040             s2=scalar2(b1(1,iti1),auxvec(1))
4041             call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
4042             call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
4043             s3=0.5d0*(pizda(1,1)+pizda(2,2))
4044             ggg(l)=-(s1+s2+s3)
4045             gcorr4_turn(l,i+2)=gcorr4_turn(l,i+2)-(s1+s2+s3)
4046           enddo
4047         endif
4048 C Remaining derivatives of this turn contribution
4049         do l=1,3
4050           a_temp(1,1)=aggi(l,1)
4051           a_temp(1,2)=aggi(l,2)
4052           a_temp(2,1)=aggi(l,3)
4053           a_temp(2,2)=aggi(l,4)
4054           call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
4055           call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
4056           s1=scalar2(b1(1,iti2),auxvec(1))
4057           call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
4058           call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1)) 
4059           s2=scalar2(b1(1,iti1),auxvec(1))
4060           call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
4061           call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
4062           s3=0.5d0*(pizda(1,1)+pizda(2,2))
4063           gcorr4_turn(l,i)=gcorr4_turn(l,i)-(s1+s2+s3)
4064           a_temp(1,1)=aggi1(l,1)
4065           a_temp(1,2)=aggi1(l,2)
4066           a_temp(2,1)=aggi1(l,3)
4067           a_temp(2,2)=aggi1(l,4)
4068           call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
4069           call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
4070           s1=scalar2(b1(1,iti2),auxvec(1))
4071           call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
4072           call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1)) 
4073           s2=scalar2(b1(1,iti1),auxvec(1))
4074           call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
4075           call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
4076           s3=0.5d0*(pizda(1,1)+pizda(2,2))
4077           gcorr4_turn(l,i+1)=gcorr4_turn(l,i+1)-(s1+s2+s3)
4078           a_temp(1,1)=aggj(l,1)
4079           a_temp(1,2)=aggj(l,2)
4080           a_temp(2,1)=aggj(l,3)
4081           a_temp(2,2)=aggj(l,4)
4082           call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
4083           call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
4084           s1=scalar2(b1(1,iti2),auxvec(1))
4085           call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
4086           call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1)) 
4087           s2=scalar2(b1(1,iti1),auxvec(1))
4088           call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
4089           call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
4090           s3=0.5d0*(pizda(1,1)+pizda(2,2))
4091           gcorr4_turn(l,j)=gcorr4_turn(l,j)-(s1+s2+s3)
4092           a_temp(1,1)=aggj1(l,1)
4093           a_temp(1,2)=aggj1(l,2)
4094           a_temp(2,1)=aggj1(l,3)
4095           a_temp(2,2)=aggj1(l,4)
4096           call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
4097           call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
4098           s1=scalar2(b1(1,iti2),auxvec(1))
4099           call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
4100           call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1)) 
4101           s2=scalar2(b1(1,iti1),auxvec(1))
4102           call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
4103           call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
4104           s3=0.5d0*(pizda(1,1)+pizda(2,2))
4105 c          write (iout,*) "s1",s1," s2",s2," s3",s3," s1+s2+s3",s1+s2+s3
4106           gcorr4_turn(l,j1)=gcorr4_turn(l,j1)-(s1+s2+s3)
4107         enddo
4108       return
4109       end
4110 C-----------------------------------------------------------------------------
4111       subroutine vecpr(u,v,w)
4112       implicit real*8(a-h,o-z)
4113       dimension u(3),v(3),w(3)
4114       w(1)=u(2)*v(3)-u(3)*v(2)
4115       w(2)=-u(1)*v(3)+u(3)*v(1)
4116       w(3)=u(1)*v(2)-u(2)*v(1)
4117       return
4118       end
4119 C-----------------------------------------------------------------------------
4120       subroutine unormderiv(u,ugrad,unorm,ungrad)
4121 C This subroutine computes the derivatives of a normalized vector u, given
4122 C the derivatives computed without normalization conditions, ugrad. Returns
4123 C ungrad.
4124       implicit none
4125       double precision u(3),ugrad(3,3),unorm,ungrad(3,3)
4126       double precision vec(3)
4127       double precision scalar
4128       integer i,j
4129 c      write (2,*) 'ugrad',ugrad
4130 c      write (2,*) 'u',u
4131       do i=1,3
4132         vec(i)=scalar(ugrad(1,i),u(1))
4133       enddo
4134 c      write (2,*) 'vec',vec
4135       do i=1,3
4136         do j=1,3
4137           ungrad(j,i)=(ugrad(j,i)-u(j)*vec(i))*unorm
4138         enddo
4139       enddo
4140 c      write (2,*) 'ungrad',ungrad
4141       return
4142       end
4143 C-----------------------------------------------------------------------------
4144       subroutine escp_soft_sphere(evdw2,evdw2_14)
4145 C
4146 C This subroutine calculates the excluded-volume interaction energy between
4147 C peptide-group centers and side chains and its gradient in virtual-bond and
4148 C side-chain vectors.
4149 C
4150       implicit real*8 (a-h,o-z)
4151       include 'DIMENSIONS'
4152       include 'COMMON.GEO'
4153       include 'COMMON.VAR'
4154       include 'COMMON.LOCAL'
4155       include 'COMMON.CHAIN'
4156       include 'COMMON.DERIV'
4157       include 'COMMON.INTERACT'
4158       include 'COMMON.FFIELD'
4159       include 'COMMON.IOUNITS'
4160       include 'COMMON.CONTROL'
4161       dimension ggg(3)
4162       evdw2=0.0D0
4163       evdw2_14=0.0d0
4164       r0_scp=4.5d0
4165 cd    print '(a)','Enter ESCP'
4166 cd    write (iout,*) 'iatscp_s=',iatscp_s,' iatscp_e=',iatscp_e
4167       do i=iatscp_s,iatscp_e
4168         iteli=itel(i)
4169         xi=0.5D0*(c(1,i)+c(1,i+1))
4170         yi=0.5D0*(c(2,i)+c(2,i+1))
4171         zi=0.5D0*(c(3,i)+c(3,i+1))
4172
4173         do iint=1,nscp_gr(i)
4174
4175         do j=iscpstart(i,iint),iscpend(i,iint)
4176           itypj=itype(j)
4177 C Uncomment following three lines for SC-p interactions
4178 c         xj=c(1,nres+j)-xi
4179 c         yj=c(2,nres+j)-yi
4180 c         zj=c(3,nres+j)-zi
4181 C Uncomment following three lines for Ca-p interactions
4182           xj=c(1,j)-xi
4183           yj=c(2,j)-yi
4184           zj=c(3,j)-zi
4185           rij=xj*xj+yj*yj+zj*zj
4186           r0ij=r0_scp
4187           r0ijsq=r0ij*r0ij
4188           if (rij.lt.r0ijsq) then
4189             evdwij=0.25d0*(rij-r0ijsq)**2
4190             fac=rij-r0ijsq
4191           else
4192             evdwij=0.0d0
4193             fac=0.0d0
4194           endif 
4195           evdw2=evdw2+evdwij
4196 C
4197 C Calculate contributions to the gradient in the virtual-bond and SC vectors.
4198 C
4199           ggg(1)=xj*fac
4200           ggg(2)=yj*fac
4201           ggg(3)=zj*fac
4202 cgrad          if (j.lt.i) then
4203 cd          write (iout,*) 'j<i'
4204 C Uncomment following three lines for SC-p interactions
4205 c           do k=1,3
4206 c             gradx_scp(k,j)=gradx_scp(k,j)+ggg(k)
4207 c           enddo
4208 cgrad          else
4209 cd          write (iout,*) 'j>i'
4210 cgrad            do k=1,3
4211 cgrad              ggg(k)=-ggg(k)
4212 C Uncomment following line for SC-p interactions
4213 c             gradx_scp(k,j)=gradx_scp(k,j)-ggg(k)
4214 cgrad            enddo
4215 cgrad          endif
4216 cgrad          do k=1,3
4217 cgrad            gvdwc_scp(k,i)=gvdwc_scp(k,i)-0.5D0*ggg(k)
4218 cgrad          enddo
4219 cgrad          kstart=min0(i+1,j)
4220 cgrad          kend=max0(i-1,j-1)
4221 cd        write (iout,*) 'i=',i,' j=',j,' kstart=',kstart,' kend=',kend
4222 cd        write (iout,*) ggg(1),ggg(2),ggg(3)
4223 cgrad          do k=kstart,kend
4224 cgrad            do l=1,3
4225 cgrad              gvdwc_scp(l,k)=gvdwc_scp(l,k)-ggg(l)
4226 cgrad            enddo
4227 cgrad          enddo
4228           do k=1,3
4229             gvdwc_scpp(k,i)=gvdwc_scpp(k,i)-ggg(k)
4230             gvdwc_scp(k,j)=gvdwc_scp(k,j)+ggg(k)
4231           enddo
4232         enddo
4233
4234         enddo ! iint
4235       enddo ! i
4236       return
4237       end
4238 C-----------------------------------------------------------------------------
4239       subroutine escp(evdw2,evdw2_14)
4240 C
4241 C This subroutine calculates the excluded-volume interaction energy between
4242 C peptide-group centers and side chains and its gradient in virtual-bond and
4243 C side-chain vectors.
4244 C
4245       implicit real*8 (a-h,o-z)
4246       include 'DIMENSIONS'
4247       include 'COMMON.GEO'
4248       include 'COMMON.VAR'
4249       include 'COMMON.LOCAL'
4250       include 'COMMON.CHAIN'
4251       include 'COMMON.DERIV'
4252       include 'COMMON.INTERACT'
4253       include 'COMMON.FFIELD'
4254       include 'COMMON.IOUNITS'
4255       include 'COMMON.CONTROL'
4256       dimension ggg(3)
4257       evdw2=0.0D0
4258       evdw2_14=0.0d0
4259 cd    print '(a)','Enter ESCP'
4260 cd    write (iout,*) 'iatscp_s=',iatscp_s,' iatscp_e=',iatscp_e
4261       do i=iatscp_s,iatscp_e
4262         iteli=itel(i)
4263         xi=0.5D0*(c(1,i)+c(1,i+1))
4264         yi=0.5D0*(c(2,i)+c(2,i+1))
4265         zi=0.5D0*(c(3,i)+c(3,i+1))
4266
4267         do iint=1,nscp_gr(i)
4268
4269         do j=iscpstart(i,iint),iscpend(i,iint)
4270           itypj=itype(j)
4271 C Uncomment following three lines for SC-p interactions
4272 c         xj=c(1,nres+j)-xi
4273 c         yj=c(2,nres+j)-yi
4274 c         zj=c(3,nres+j)-zi
4275 C Uncomment following three lines for Ca-p interactions
4276           xj=c(1,j)-xi
4277           yj=c(2,j)-yi
4278           zj=c(3,j)-zi
4279           rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
4280           fac=rrij**expon2
4281           e1=fac*fac*aad(itypj,iteli)
4282           e2=fac*bad(itypj,iteli)
4283           if (iabs(j-i) .le. 2) then
4284             e1=scal14*e1
4285             e2=scal14*e2
4286             evdw2_14=evdw2_14+e1+e2
4287           endif
4288           evdwij=e1+e2
4289           evdw2=evdw2+evdwij
4290           if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
4291      &        'evdw2',i,j,evdwij
4292 C
4293 C Calculate contributions to the gradient in the virtual-bond and SC vectors.
4294 C
4295           fac=-(evdwij+e1)*rrij
4296           ggg(1)=xj*fac
4297           ggg(2)=yj*fac
4298           ggg(3)=zj*fac
4299 cgrad          if (j.lt.i) then
4300 cd          write (iout,*) 'j<i'
4301 C Uncomment following three lines for SC-p interactions
4302 c           do k=1,3
4303 c             gradx_scp(k,j)=gradx_scp(k,j)+ggg(k)
4304 c           enddo
4305 cgrad          else
4306 cd          write (iout,*) 'j>i'
4307 cgrad            do k=1,3
4308 cgrad              ggg(k)=-ggg(k)
4309 C Uncomment following line for SC-p interactions
4310 ccgrad             gradx_scp(k,j)=gradx_scp(k,j)-ggg(k)
4311 c             gradx_scp(k,j)=gradx_scp(k,j)+ggg(k)
4312 cgrad            enddo
4313 cgrad          endif
4314 cgrad          do k=1,3
4315 cgrad            gvdwc_scp(k,i)=gvdwc_scp(k,i)-0.5D0*ggg(k)
4316 cgrad          enddo
4317 cgrad          kstart=min0(i+1,j)
4318 cgrad          kend=max0(i-1,j-1)
4319 cd        write (iout,*) 'i=',i,' j=',j,' kstart=',kstart,' kend=',kend
4320 cd        write (iout,*) ggg(1),ggg(2),ggg(3)
4321 cgrad          do k=kstart,kend
4322 cgrad            do l=1,3
4323 cgrad              gvdwc_scp(l,k)=gvdwc_scp(l,k)-ggg(l)
4324 cgrad            enddo
4325 cgrad          enddo
4326           do k=1,3
4327             gvdwc_scpp(k,i)=gvdwc_scpp(k,i)-ggg(k)
4328             gvdwc_scp(k,j)=gvdwc_scp(k,j)+ggg(k)
4329           enddo
4330         enddo
4331
4332         enddo ! iint
4333       enddo ! i
4334       do i=1,nct
4335         do j=1,3
4336           gvdwc_scp(j,i)=expon*gvdwc_scp(j,i)
4337           gvdwc_scpp(j,i)=expon*gvdwc_scpp(j,i)
4338           gradx_scp(j,i)=expon*gradx_scp(j,i)
4339         enddo
4340       enddo
4341 C******************************************************************************
4342 C
4343 C                              N O T E !!!
4344 C
4345 C To save time the factor EXPON has been extracted from ALL components
4346 C of GVDWC and GRADX. Remember to multiply them by this factor before further 
4347 C use!
4348 C
4349 C******************************************************************************
4350       return
4351       end
4352 C--------------------------------------------------------------------------
4353       subroutine edis(ehpb)
4354
4355 C Evaluate bridge-strain energy and its gradient in virtual-bond and SC vectors.
4356 C
4357       implicit real*8 (a-h,o-z)
4358       include 'DIMENSIONS'
4359       include 'COMMON.SBRIDGE'
4360       include 'COMMON.CHAIN'
4361       include 'COMMON.DERIV'
4362       include 'COMMON.VAR'
4363       include 'COMMON.INTERACT'
4364       include 'COMMON.IOUNITS'
4365       include 'COMMON.CONTROL'
4366       dimension ggg(3)
4367       ehpb=0.0D0
4368 cd      write(iout,*)'edis: nhpb=',nhpb,' fbr=',fbr
4369 cd      write(iout,*)'link_start=',link_start,' link_end=',link_end
4370       if (link_end.eq.0) return
4371       do i=link_start,link_end
4372 C If ihpb(i) and jhpb(i) > NRES, this is a SC-SC distance, otherwise a
4373 C CA-CA distance used in regularization of structure.
4374         ii=ihpb(i)
4375         jj=jhpb(i)
4376 C iii and jjj point to the residues for which the distance is assigned.
4377         if (ii.gt.nres) then
4378           iii=ii-nres
4379           jjj=jj-nres 
4380         else
4381           iii=ii
4382           jjj=jj
4383         endif
4384 c        write (iout,*) "i",i," ii",ii," iii",iii," jj",jj," jjj",jjj,
4385 c     &    dhpb(i),dhpb1(i),forcon(i)
4386 C 24/11/03 AL: SS bridges handled separately because of introducing a specific
4387 C    distance and angle dependent SS bond potential.
4388 cmc        if (ii.gt.nres .and. itype(iii).eq.1 .and. itype(jjj).eq.1) then
4389 C 18/07/06 MC: Use the convention that the first nss pairs are SS bonds
4390         if (.not.dyn_ss .and. i.le.nss) then
4391 C 15/02/13 CC dynamic SSbond - additional check
4392          if (ii.gt.nres 
4393      &       .and. itype(iii).eq.1 .and. itype(jjj).eq.1) then 
4394           call ssbond_ene(iii,jjj,eij)
4395           ehpb=ehpb+2*eij
4396          endif
4397 cd          write (iout,*) "eij",eij
4398         else if (ii.gt.nres .and. jj.gt.nres) then
4399 c Restraints from contact prediction
4400           dd=dist(ii,jj)
4401           if (constr_dist.eq.11) then
4402             ehpb=ehpb+fordepth(i)**4.0d0
4403      &          *rlornmr1(dd,dhpb(i),dhpb1(i),forcon(i))
4404             fac=fordepth(i)**4.0d0
4405      &          *rlornmr1prim(dd,dhpb(i),dhpb1(i),forcon(i))/dd
4406           if (energy_dec) write (iout,'(a6,2i5,f15.6,2f8.3)') 
4407      &     "edisl",ii,jj,
4408      &     fordepth(i)**4.0d0*rlornmr1(dd,dhpb(i),dhpb1(i),forcon(i)),
4409      &     fordepth(i),dd
4410            else
4411           if (dhpb1(i).gt.0.0d0) then
4412             ehpb=ehpb+2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4413             fac=forcon(i)*gnmr1prim(dd,dhpb(i),dhpb1(i))/dd
4414 c            write (iout,*) "beta nmr",
4415 c     &        dd,2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4416           else
4417             dd=dist(ii,jj)
4418             rdis=dd-dhpb(i)
4419 C Get the force constant corresponding to this distance.
4420             waga=forcon(i)
4421 C Calculate the contribution to energy.
4422             ehpb=ehpb+waga*rdis*rdis
4423 c            write (iout,*) "beta reg",dd,waga*rdis*rdis
4424 C
4425 C Evaluate gradient.
4426 C
4427             fac=waga*rdis/dd
4428           endif
4429           endif
4430           do j=1,3
4431             ggg(j)=fac*(c(j,jj)-c(j,ii))
4432           enddo
4433           do j=1,3
4434             ghpbx(j,iii)=ghpbx(j,iii)-ggg(j)
4435             ghpbx(j,jjj)=ghpbx(j,jjj)+ggg(j)
4436           enddo
4437           do k=1,3
4438             ghpbc(k,jjj)=ghpbc(k,jjj)+ggg(k)
4439             ghpbc(k,iii)=ghpbc(k,iii)-ggg(k)
4440           enddo
4441         else
4442 C Calculate the distance between the two points and its difference from the
4443 C target distance.
4444           dd=dist(ii,jj)
4445          if (constr_dist.eq.11) then
4446             ehpb=ehpb+fordepth(i)**4.0d0
4447      &           *rlornmr1(dd,dhpb(i),dhpb1(i),forcon(i))
4448             fac=fordepth(i)**4.0d0
4449      &           *rlornmr1prim(dd,dhpb(i),dhpb1(i),forcon(i))/dd
4450           if (energy_dec) write (iout,'(a6,2i5,f15.6,2f8.3)') 
4451      7     "edisl",ii,jj,
4452      &     fordepth(i)**4.0d0*rlornmr1(dd,dhpb(i),dhpb1(i),forcon(i)),
4453      &     fordepth(i),dd
4454 c          if (energy_dec)
4455 c     &      write (iout,*) fac
4456          else   
4457           if (dhpb1(i).gt.0.0d0) then
4458             ehpb=ehpb+2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4459             fac=forcon(i)*gnmr1prim(dd,dhpb(i),dhpb1(i))/dd
4460 c            write (iout,*) "alph nmr",
4461 c     &        dd,2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4462           else
4463             rdis=dd-dhpb(i)
4464 C Get the force constant corresponding to this distance.
4465             waga=forcon(i)
4466 C Calculate the contribution to energy.
4467             ehpb=ehpb+waga*rdis*rdis
4468 c            write (iout,*) "alpha reg",dd,waga*rdis*rdis
4469 C
4470 C Evaluate gradient.
4471 C
4472             fac=waga*rdis/dd
4473           endif
4474          endif
4475 cd      print *,'i=',i,' ii=',ii,' jj=',jj,' dhpb=',dhpb(i),' dd=',dd,
4476 cd   &   ' waga=',waga,' fac=',fac
4477             do j=1,3
4478               ggg(j)=fac*(c(j,jj)-c(j,ii))
4479             enddo
4480 cd      print '(i3,3(1pe14.5))',i,(ggg(j),j=1,3)
4481 C If this is a SC-SC distance, we need to calculate the contributions to the
4482 C Cartesian gradient in the SC vectors (ghpbx).
4483           if (iii.lt.ii) then
4484           do j=1,3
4485             ghpbx(j,iii)=ghpbx(j,iii)-ggg(j)
4486             ghpbx(j,jjj)=ghpbx(j,jjj)+ggg(j)
4487           enddo
4488           endif
4489 cgrad        do j=iii,jjj-1
4490 cgrad          do k=1,3
4491 cgrad            ghpbc(k,j)=ghpbc(k,j)+ggg(k)
4492 cgrad          enddo
4493 cgrad        enddo
4494           do k=1,3
4495             ghpbc(k,jjj)=ghpbc(k,jjj)+ggg(k)
4496             ghpbc(k,iii)=ghpbc(k,iii)-ggg(k)
4497           enddo
4498         endif
4499       enddo
4500       if (constr_dist.ne.11) ehpb=0.5D0*ehpb
4501 c      do i=1,nres
4502 c        write (iout,*) "ghpbc",i,(ghpbc(j,i),j=1,3)
4503 c      enddo
4504       return
4505       end
4506 C--------------------------------------------------------------------------
4507       subroutine ssbond_ene(i,j,eij)
4508
4509 C Calculate the distance and angle dependent SS-bond potential energy
4510 C using a free-energy function derived based on RHF/6-31G** ab initio
4511 C calculations of diethyl disulfide.
4512 C
4513 C A. Liwo and U. Kozlowska, 11/24/03
4514 C
4515       implicit real*8 (a-h,o-z)
4516       include 'DIMENSIONS'
4517       include 'COMMON.SBRIDGE'
4518       include 'COMMON.CHAIN'
4519       include 'COMMON.DERIV'
4520       include 'COMMON.LOCAL'
4521       include 'COMMON.INTERACT'
4522       include 'COMMON.VAR'
4523       include 'COMMON.IOUNITS'
4524       double precision erij(3),dcosom1(3),dcosom2(3),gg(3)
4525       itypi=itype(i)
4526       xi=c(1,nres+i)
4527       yi=c(2,nres+i)
4528       zi=c(3,nres+i)
4529       dxi=dc_norm(1,nres+i)
4530       dyi=dc_norm(2,nres+i)
4531       dzi=dc_norm(3,nres+i)
4532 c      dsci_inv=dsc_inv(itypi)
4533       dsci_inv=vbld_inv(nres+i)
4534       itypj=itype(j)
4535 c      dscj_inv=dsc_inv(itypj)
4536       dscj_inv=vbld_inv(nres+j)
4537       xj=c(1,nres+j)-xi
4538       yj=c(2,nres+j)-yi
4539       zj=c(3,nres+j)-zi
4540       dxj=dc_norm(1,nres+j)
4541       dyj=dc_norm(2,nres+j)
4542       dzj=dc_norm(3,nres+j)
4543       rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
4544       rij=dsqrt(rrij)
4545       erij(1)=xj*rij
4546       erij(2)=yj*rij
4547       erij(3)=zj*rij
4548       om1=dxi*erij(1)+dyi*erij(2)+dzi*erij(3)
4549       om2=dxj*erij(1)+dyj*erij(2)+dzj*erij(3)
4550       om12=dxi*dxj+dyi*dyj+dzi*dzj
4551       do k=1,3
4552         dcosom1(k)=rij*(dc_norm(k,nres+i)-om1*erij(k))
4553         dcosom2(k)=rij*(dc_norm(k,nres+j)-om2*erij(k))
4554       enddo
4555       rij=1.0d0/rij
4556       deltad=rij-d0cm
4557       deltat1=1.0d0-om1
4558       deltat2=1.0d0+om2
4559       deltat12=om2-om1+2.0d0
4560       cosphi=om12-om1*om2
4561       eij=akcm*deltad*deltad+akth*(deltat1*deltat1+deltat2*deltat2)
4562      &  +akct*deltad*deltat12+ebr
4563      &  +v1ss*cosphi+v2ss*cosphi*cosphi+v3ss*cosphi*cosphi*cosphi
4564 c      write(iout,*) i,j,"rij",rij,"d0cm",d0cm," akcm",akcm," akth",akth,
4565 c     &  " akct",akct," deltad",deltad," deltat",deltat1,deltat2,
4566 c     &  " deltat12",deltat12," eij",eij 
4567       ed=2*akcm*deltad+akct*deltat12
4568       pom1=akct*deltad
4569       pom2=v1ss+2*v2ss*cosphi+3*v3ss*cosphi*cosphi
4570       eom1=-2*akth*deltat1-pom1-om2*pom2
4571       eom2= 2*akth*deltat2+pom1-om1*pom2
4572       eom12=pom2
4573       do k=1,3
4574         ggk=ed*erij(k)+eom1*dcosom1(k)+eom2*dcosom2(k)
4575         ghpbx(k,i)=ghpbx(k,i)-ggk
4576      &            +(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
4577      &            +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
4578         ghpbx(k,j)=ghpbx(k,j)+ggk
4579      &            +(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
4580      &            +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
4581         ghpbc(k,i)=ghpbc(k,i)-ggk
4582         ghpbc(k,j)=ghpbc(k,j)+ggk
4583       enddo
4584 C
4585 C Calculate the components of the gradient in DC and X
4586 C
4587 cgrad      do k=i,j-1
4588 cgrad        do l=1,3
4589 cgrad          ghpbc(l,k)=ghpbc(l,k)+gg(l)
4590 cgrad        enddo
4591 cgrad      enddo
4592       return
4593       end
4594 C--------------------------------------------------------------------------
4595       subroutine ebond(estr)
4596 c
4597 c Evaluate the energy of stretching of the CA-CA and CA-SC virtual bonds
4598 c
4599       implicit real*8 (a-h,o-z)
4600       include 'DIMENSIONS'
4601       include 'COMMON.LOCAL'
4602       include 'COMMON.GEO'
4603       include 'COMMON.INTERACT'
4604       include 'COMMON.DERIV'
4605       include 'COMMON.VAR'
4606       include 'COMMON.CHAIN'
4607       include 'COMMON.IOUNITS'
4608       include 'COMMON.NAMES'
4609       include 'COMMON.FFIELD'
4610       include 'COMMON.CONTROL'
4611       include 'COMMON.SETUP'
4612       double precision u(3),ud(3)
4613       estr=0.0d0
4614       do i=ibondp_start,ibondp_end
4615         diff = vbld(i)-vbldp0
4616 c        write (iout,*) i,vbld(i),vbldp0,diff,AKP*diff*diff
4617         if (energy_dec)    write (iout,'(a7,i5,4f7.3)') 
4618      &     "estr bb",i,vbld(i),vbldp0,diff,AKP*diff*diff
4619         estr=estr+diff*diff
4620         do j=1,3
4621           gradb(j,i-1)=AKP*diff*dc(j,i-1)/vbld(i)
4622         enddo
4623 c        write (iout,'(i5,3f10.5)') i,(gradb(j,i-1),j=1,3)
4624       enddo
4625       estr=0.5d0*AKP*estr
4626 c
4627 c 09/18/07 AL: multimodal bond potential based on AM1 CA-SC PMF's included
4628 c
4629       do i=ibond_start,ibond_end
4630         iti=itype(i)
4631         if (iti.ne.10) then
4632           nbi=nbondterm(iti)
4633           if (nbi.eq.1) then
4634             diff=vbld(i+nres)-vbldsc0(1,iti)
4635 c            write (iout,*) i,iti,vbld(i+nres),vbldsc0(1,iti),diff,
4636 c     &      AKSC(1,iti),AKSC(1,iti)*diff*diff
4637             if (energy_dec)  then
4638               write (iout,*) 
4639      &         "estr sc",i,iti,vbld(i+nres),vbldsc0(1,iti),diff,
4640      &         AKSC(1,iti),AKSC(1,iti)*diff*diff
4641               call flush(iout)
4642             endif
4643             estr=estr+0.5d0*AKSC(1,iti)*diff*diff
4644             do j=1,3
4645               gradbx(j,i)=AKSC(1,iti)*diff*dc(j,i+nres)/vbld(i+nres)
4646             enddo
4647           else
4648             do j=1,nbi
4649               diff=vbld(i+nres)-vbldsc0(j,iti) 
4650               ud(j)=aksc(j,iti)*diff
4651               u(j)=abond0(j,iti)+0.5d0*ud(j)*diff
4652             enddo
4653             uprod=u(1)
4654             do j=2,nbi
4655               uprod=uprod*u(j)
4656             enddo
4657             usum=0.0d0
4658             usumsqder=0.0d0
4659             do j=1,nbi
4660               uprod1=1.0d0
4661               uprod2=1.0d0
4662               do k=1,nbi
4663                 if (k.ne.j) then
4664                   uprod1=uprod1*u(k)
4665                   uprod2=uprod2*u(k)*u(k)
4666                 endif
4667               enddo
4668               usum=usum+uprod1
4669               usumsqder=usumsqder+ud(j)*uprod2   
4670             enddo
4671             estr=estr+uprod/usum
4672             do j=1,3
4673              gradbx(j,i)=usumsqder/(usum*usum)*dc(j,i+nres)/vbld(i+nres)
4674             enddo
4675           endif
4676         endif
4677       enddo
4678       return
4679       end 
4680 #ifdef CRYST_THETA
4681 C--------------------------------------------------------------------------
4682       subroutine ebend(etheta)
4683 C
4684 C Evaluate the virtual-bond-angle energy given the virtual-bond dihedral
4685 C angles gamma and its derivatives in consecutive thetas and gammas.
4686 C
4687       implicit real*8 (a-h,o-z)
4688       include 'DIMENSIONS'
4689       include 'COMMON.LOCAL'
4690       include 'COMMON.GEO'
4691       include 'COMMON.INTERACT'
4692       include 'COMMON.DERIV'
4693       include 'COMMON.VAR'
4694       include 'COMMON.CHAIN'
4695       include 'COMMON.IOUNITS'
4696       include 'COMMON.NAMES'
4697       include 'COMMON.FFIELD'
4698       include 'COMMON.CONTROL'
4699       common /calcthet/ term1,term2,termm,diffak,ratak,
4700      & ak,aktc,termpre,termexp,sigc,sig0i,time11,time12,sigcsq,
4701      & delthe0,sig0inv,sigtc,sigsqtc,delthec,it
4702       double precision y(2),z(2)
4703       delta=0.02d0*pi
4704 c      time11=dexp(-2*time)
4705 c      time12=1.0d0
4706       etheta=0.0D0
4707 c     write (*,'(a,i2)') 'EBEND ICG=',icg
4708       do i=ithet_start,ithet_end
4709 C Zero the energy function and its derivative at 0 or pi.
4710         call splinthet(theta(i),0.5d0*delta,ss,ssd)
4711         it=itype(i-1)
4712         if (i.gt.3) then
4713 #ifdef OSF
4714           phii=phi(i)
4715           if (phii.ne.phii) phii=150.0
4716 #else
4717           phii=phi(i)
4718 #endif
4719           y(1)=dcos(phii)
4720           y(2)=dsin(phii)
4721         else 
4722           y(1)=0.0D0
4723           y(2)=0.0D0
4724         endif
4725         if (i.lt.nres) then
4726 #ifdef OSF
4727           phii1=phi(i+1)
4728           if (phii1.ne.phii1) phii1=150.0
4729           phii1=pinorm(phii1)
4730           z(1)=cos(phii1)
4731 #else
4732           phii1=phi(i+1)
4733           z(1)=dcos(phii1)
4734 #endif
4735           z(2)=dsin(phii1)
4736         else
4737           z(1)=0.0D0
4738           z(2)=0.0D0
4739         endif  
4740 C Calculate the "mean" value of theta from the part of the distribution
4741 C dependent on the adjacent virtual-bond-valence angles (gamma1 & gamma2).
4742 C In following comments this theta will be referred to as t_c.
4743         thet_pred_mean=0.0d0
4744         do k=1,2
4745           athetk=athet(k,it)
4746           bthetk=bthet(k,it)
4747           thet_pred_mean=thet_pred_mean+athetk*y(k)+bthetk*z(k)
4748         enddo
4749         dthett=thet_pred_mean*ssd
4750         thet_pred_mean=thet_pred_mean*ss+a0thet(it)
4751 C Derivatives of the "mean" values in gamma1 and gamma2.
4752         dthetg1=(-athet(1,it)*y(2)+athet(2,it)*y(1))*ss
4753         dthetg2=(-bthet(1,it)*z(2)+bthet(2,it)*z(1))*ss
4754         if (theta(i).gt.pi-delta) then
4755           call theteng(pi-delta,thet_pred_mean,theta0(it),f0,fprim0,
4756      &         E_tc0)
4757           call mixder(pi-delta,thet_pred_mean,theta0(it),fprim_tc0)
4758           call theteng(pi,thet_pred_mean,theta0(it),f1,fprim1,E_tc1)
4759           call spline1(theta(i),pi-delta,delta,f0,f1,fprim0,ethetai,
4760      &        E_theta)
4761           call spline2(theta(i),pi-delta,delta,E_tc0,E_tc1,fprim_tc0,
4762      &        E_tc)
4763         else if (theta(i).lt.delta) then
4764           call theteng(delta,thet_pred_mean,theta0(it),f0,fprim0,E_tc0)
4765           call theteng(0.0d0,thet_pred_mean,theta0(it),f1,fprim1,E_tc1)
4766           call spline1(theta(i),delta,-delta,f0,f1,fprim0,ethetai,
4767      &        E_theta)
4768           call mixder(delta,thet_pred_mean,theta0(it),fprim_tc0)
4769           call spline2(theta(i),delta,-delta,E_tc0,E_tc1,fprim_tc0,
4770      &        E_tc)
4771         else
4772           call theteng(theta(i),thet_pred_mean,theta0(it),ethetai,
4773      &        E_theta,E_tc)
4774         endif
4775         etheta=etheta+ethetai
4776         if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
4777      &      'ebend',i,ethetai
4778         if (i.gt.3) gloc(i-3,icg)=gloc(i-3,icg)+wang*E_tc*dthetg1
4779         if (i.lt.nres) gloc(i-2,icg)=gloc(i-2,icg)+wang*E_tc*dthetg2
4780         gloc(nphi+i-2,icg)=wang*(E_theta+E_tc*dthett)+gloc(nphi+i-2,icg)
4781       enddo
4782 C Ufff.... We've done all this!!! 
4783       return
4784       end
4785 C---------------------------------------------------------------------------
4786       subroutine theteng(thetai,thet_pred_mean,theta0i,ethetai,E_theta,
4787      &     E_tc)
4788       implicit real*8 (a-h,o-z)
4789       include 'DIMENSIONS'
4790       include 'COMMON.LOCAL'
4791       include 'COMMON.IOUNITS'
4792       common /calcthet/ term1,term2,termm,diffak,ratak,
4793      & ak,aktc,termpre,termexp,sigc,sig0i,time11,time12,sigcsq,
4794      & delthe0,sig0inv,sigtc,sigsqtc,delthec,it
4795 C Calculate the contributions to both Gaussian lobes.
4796 C 6/6/97 - Deform the Gaussians using the factor of 1/(1+time)
4797 C The "polynomial part" of the "standard deviation" of this part of 
4798 C the distribution.
4799         sig=polthet(3,it)
4800         do j=2,0,-1
4801           sig=sig*thet_pred_mean+polthet(j,it)
4802         enddo
4803 C Derivative of the "interior part" of the "standard deviation of the" 
4804 C gamma-dependent Gaussian lobe in t_c.
4805         sigtc=3*polthet(3,it)
4806         do j=2,1,-1
4807           sigtc=sigtc*thet_pred_mean+j*polthet(j,it)
4808         enddo
4809         sigtc=sig*sigtc
4810 C Set the parameters of both Gaussian lobes of the distribution.
4811 C "Standard deviation" of the gamma-dependent Gaussian lobe (sigtc)
4812         fac=sig*sig+sigc0(it)
4813         sigcsq=fac+fac
4814         sigc=1.0D0/sigcsq
4815 C Following variable (sigsqtc) is -(1/2)d[sigma(t_c)**(-2))]/dt_c
4816         sigsqtc=-4.0D0*sigcsq*sigtc
4817 c       print *,i,sig,sigtc,sigsqtc
4818 C Following variable (sigtc) is d[sigma(t_c)]/dt_c
4819         sigtc=-sigtc/(fac*fac)
4820 C Following variable is sigma(t_c)**(-2)
4821         sigcsq=sigcsq*sigcsq
4822         sig0i=sig0(it)
4823         sig0inv=1.0D0/sig0i**2
4824         delthec=thetai-thet_pred_mean
4825         delthe0=thetai-theta0i
4826         term1=-0.5D0*sigcsq*delthec*delthec
4827         term2=-0.5D0*sig0inv*delthe0*delthe0
4828 C Following fuzzy logic is to avoid underflows in dexp and subsequent INFs and
4829 C NaNs in taking the logarithm. We extract the largest exponent which is added
4830 C to the energy (this being the log of the distribution) at the end of energy
4831 C term evaluation for this virtual-bond angle.
4832         if (term1.gt.term2) then
4833           termm=term1
4834           term2=dexp(term2-termm)
4835           term1=1.0d0
4836         else
4837           termm=term2
4838           term1=dexp(term1-termm)
4839           term2=1.0d0
4840         endif
4841 C The ratio between the gamma-independent and gamma-dependent lobes of
4842 C the distribution is a Gaussian function of thet_pred_mean too.
4843         diffak=gthet(2,it)-thet_pred_mean
4844         ratak=diffak/gthet(3,it)**2
4845         ak=dexp(gthet(1,it)-0.5D0*diffak*ratak)
4846 C Let's differentiate it in thet_pred_mean NOW.
4847         aktc=ak*ratak
4848 C Now put together the distribution terms to make complete distribution.
4849         termexp=term1+ak*term2
4850         termpre=sigc+ak*sig0i
4851 C Contribution of the bending energy from this theta is just the -log of
4852 C the sum of the contributions from the two lobes and the pre-exponential
4853 C factor. Simple enough, isn't it?
4854         ethetai=(-dlog(termexp)-termm+dlog(termpre))
4855 C NOW the derivatives!!!
4856 C 6/6/97 Take into account the deformation.
4857         E_theta=(delthec*sigcsq*term1
4858      &       +ak*delthe0*sig0inv*term2)/termexp
4859         E_tc=((sigtc+aktc*sig0i)/termpre
4860      &      -((delthec*sigcsq+delthec*delthec*sigsqtc)*term1+
4861      &       aktc*term2)/termexp)
4862       return
4863       end
4864 c-----------------------------------------------------------------------------
4865       subroutine mixder(thetai,thet_pred_mean,theta0i,E_tc_t)
4866       implicit real*8 (a-h,o-z)
4867       include 'DIMENSIONS'
4868       include 'COMMON.LOCAL'
4869       include 'COMMON.IOUNITS'
4870       common /calcthet/ term1,term2,termm,diffak,ratak,
4871      & ak,aktc,termpre,termexp,sigc,sig0i,time11,time12,sigcsq,
4872      & delthe0,sig0inv,sigtc,sigsqtc,delthec,it
4873       delthec=thetai-thet_pred_mean
4874       delthe0=thetai-theta0i
4875 C "Thank you" to MAPLE (probably spared one day of hand-differentiation).
4876       t3 = thetai-thet_pred_mean
4877       t6 = t3**2
4878       t9 = term1
4879       t12 = t3*sigcsq
4880       t14 = t12+t6*sigsqtc
4881       t16 = 1.0d0
4882       t21 = thetai-theta0i
4883       t23 = t21**2
4884       t26 = term2
4885       t27 = t21*t26
4886       t32 = termexp
4887       t40 = t32**2
4888       E_tc_t = -((sigcsq+2.D0*t3*sigsqtc)*t9-t14*sigcsq*t3*t16*t9
4889      & -aktc*sig0inv*t27)/t32+(t14*t9+aktc*t26)/t40
4890      & *(-t12*t9-ak*sig0inv*t27)
4891       return
4892       end
4893 #else
4894 C--------------------------------------------------------------------------
4895       subroutine ebend(etheta)
4896 C
4897 C Evaluate the virtual-bond-angle energy given the virtual-bond dihedral
4898 C angles gamma and its derivatives in consecutive thetas and gammas.
4899 C ab initio-derived potentials from 
4900 c Kozlowska et al., J. Phys.: Condens. Matter 19 (2007) 285203
4901 C
4902       implicit real*8 (a-h,o-z)
4903       include 'DIMENSIONS'
4904       include 'COMMON.LOCAL'
4905       include 'COMMON.GEO'
4906       include 'COMMON.INTERACT'
4907       include 'COMMON.DERIV'
4908       include 'COMMON.VAR'
4909       include 'COMMON.CHAIN'
4910       include 'COMMON.IOUNITS'
4911       include 'COMMON.NAMES'
4912       include 'COMMON.FFIELD'
4913       include 'COMMON.CONTROL'
4914       double precision coskt(mmaxtheterm),sinkt(mmaxtheterm),
4915      & cosph1(maxsingle),sinph1(maxsingle),cosph2(maxsingle),
4916      & sinph2(maxsingle),cosph1ph2(maxdouble,maxdouble),
4917      & sinph1ph2(maxdouble,maxdouble)
4918       logical lprn /.false./, lprn1 /.false./
4919       etheta=0.0D0
4920 c      write (iout,*) "EBEND ithet_start",ithet_start,
4921 c     &     " ithet_end",ithet_end
4922       do i=ithet_start,ithet_end
4923         if ((itype(i-1).eq.ntyp1).or.(itype(i-2).eq.ntyp1).or.
4924      &(itype(i).eq.ntyp1)) cycle
4925         dethetai=0.0d0
4926         dephii=0.0d0
4927         dephii1=0.0d0
4928         theti2=0.5d0*theta(i)
4929         ityp2=ithetyp(itype(i-1))
4930         do k=1,nntheterm
4931           coskt(k)=dcos(k*theti2)
4932           sinkt(k)=dsin(k*theti2)
4933         enddo
4934 C        if (i.gt.3) then
4935         if (i.gt.3 .and. itype(max0(i-3,1)).ne.ntyp1) then
4936 #ifdef OSF
4937           phii=phi(i)
4938           if (phii.ne.phii) phii=150.0
4939 #else
4940           phii=phi(i)
4941 #endif
4942           ityp1=ithetyp(itype(i-2))
4943           do k=1,nsingle
4944             cosph1(k)=dcos(k*phii)
4945             sinph1(k)=dsin(k*phii)
4946           enddo
4947         else
4948           phii=0.0d0
4949           ityp1=ithetyp(itype(i-2))
4950           do k=1,nsingle
4951             cosph1(k)=0.0d0
4952             sinph1(k)=0.0d0
4953           enddo 
4954         endif
4955         if ((i.lt.nres).and. itype(i+1).ne.ntyp1) then
4956 #ifdef OSF
4957           phii1=phi(i+1)
4958           if (phii1.ne.phii1) phii1=150.0
4959           phii1=pinorm(phii1)
4960 #else
4961           phii1=phi(i+1)
4962 #endif
4963           ityp3=ithetyp(itype(i))
4964           do k=1,nsingle
4965             cosph2(k)=dcos(k*phii1)
4966             sinph2(k)=dsin(k*phii1)
4967           enddo
4968         else
4969           phii1=0.0d0
4970           ityp3=ithetyp(itype(i))
4971           do k=1,nsingle
4972             cosph2(k)=0.0d0
4973             sinph2(k)=0.0d0
4974           enddo
4975         endif  
4976         ethetai=aa0thet(ityp1,ityp2,ityp3)
4977         do k=1,ndouble
4978           do l=1,k-1
4979             ccl=cosph1(l)*cosph2(k-l)
4980             ssl=sinph1(l)*sinph2(k-l)
4981             scl=sinph1(l)*cosph2(k-l)
4982             csl=cosph1(l)*sinph2(k-l)
4983             cosph1ph2(l,k)=ccl-ssl
4984             cosph1ph2(k,l)=ccl+ssl
4985             sinph1ph2(l,k)=scl+csl
4986             sinph1ph2(k,l)=scl-csl
4987           enddo
4988         enddo
4989         if (lprn) then
4990         write (iout,*) "i",i," ityp1",ityp1," ityp2",ityp2,
4991      &    " ityp3",ityp3," theti2",theti2," phii",phii," phii1",phii1
4992         write (iout,*) "coskt and sinkt"
4993         do k=1,nntheterm
4994           write (iout,*) k,coskt(k),sinkt(k)
4995         enddo
4996         endif
4997         do k=1,ntheterm
4998           ethetai=ethetai+aathet(k,ityp1,ityp2,ityp3)*sinkt(k)
4999           dethetai=dethetai+0.5d0*k*aathet(k,ityp1,ityp2,ityp3)
5000      &      *coskt(k)
5001           if (lprn)
5002      &    write (iout,*) "k",k," aathet",aathet(k,ityp1,ityp2,ityp3),
5003      &     " ethetai",ethetai
5004         enddo
5005         if (lprn) then
5006         write (iout,*) "cosph and sinph"
5007         do k=1,nsingle
5008           write (iout,*) k,cosph1(k),sinph1(k),cosph2(k),sinph2(k)
5009         enddo
5010         write (iout,*) "cosph1ph2 and sinph2ph2"
5011         do k=2,ndouble
5012           do l=1,k-1
5013             write (iout,*) l,k,cosph1ph2(l,k),cosph1ph2(k,l),
5014      &         sinph1ph2(l,k),sinph1ph2(k,l) 
5015           enddo
5016         enddo
5017         write(iout,*) "ethetai",ethetai
5018         endif
5019         do m=1,ntheterm2
5020           do k=1,nsingle
5021             aux=bbthet(k,m,ityp1,ityp2,ityp3)*cosph1(k)
5022      &         +ccthet(k,m,ityp1,ityp2,ityp3)*sinph1(k)
5023      &         +ddthet(k,m,ityp1,ityp2,ityp3)*cosph2(k)
5024      &         +eethet(k,m,ityp1,ityp2,ityp3)*sinph2(k)
5025             ethetai=ethetai+sinkt(m)*aux
5026             dethetai=dethetai+0.5d0*m*aux*coskt(m)
5027             dephii=dephii+k*sinkt(m)*(
5028      &          ccthet(k,m,ityp1,ityp2,ityp3)*cosph1(k)-
5029      &          bbthet(k,m,ityp1,ityp2,ityp3)*sinph1(k))
5030             dephii1=dephii1+k*sinkt(m)*(
5031      &          eethet(k,m,ityp1,ityp2,ityp3)*cosph2(k)-
5032      &          ddthet(k,m,ityp1,ityp2,ityp3)*sinph2(k))
5033             if (lprn)
5034      &      write (iout,*) "m",m," k",k," bbthet",
5035      &         bbthet(k,m,ityp1,ityp2,ityp3)," ccthet",
5036      &         ccthet(k,m,ityp1,ityp2,ityp3)," ddthet",
5037      &         ddthet(k,m,ityp1,ityp2,ityp3)," eethet",
5038      &         eethet(k,m,ityp1,ityp2,ityp3)," ethetai",ethetai
5039           enddo
5040         enddo
5041         if (lprn)
5042      &  write(iout,*) "ethetai",ethetai
5043         do m=1,ntheterm3
5044           do k=2,ndouble
5045             do l=1,k-1
5046               aux=ffthet(l,k,m,ityp1,ityp2,ityp3)*cosph1ph2(l,k)+
5047      &            ffthet(k,l,m,ityp1,ityp2,ityp3)*cosph1ph2(k,l)+
5048      &            ggthet(l,k,m,ityp1,ityp2,ityp3)*sinph1ph2(l,k)+
5049      &            ggthet(k,l,m,ityp1,ityp2,ityp3)*sinph1ph2(k,l)
5050               ethetai=ethetai+sinkt(m)*aux
5051               dethetai=dethetai+0.5d0*m*coskt(m)*aux
5052               dephii=dephii+l*sinkt(m)*(
5053      &           -ffthet(l,k,m,ityp1,ityp2,ityp3)*sinph1ph2(l,k)-
5054      &            ffthet(k,l,m,ityp1,ityp2,ityp3)*sinph1ph2(k,l)+
5055      &            ggthet(l,k,m,ityp1,ityp2,ityp3)*cosph1ph2(l,k)+
5056      &            ggthet(k,l,m,ityp1,ityp2,ityp3)*cosph1ph2(k,l))
5057               dephii1=dephii1+(k-l)*sinkt(m)*(
5058      &           -ffthet(l,k,m,ityp1,ityp2,ityp3)*sinph1ph2(l,k)+
5059      &            ffthet(k,l,m,ityp1,ityp2,ityp3)*sinph1ph2(k,l)+
5060      &            ggthet(l,k,m,ityp1,ityp2,ityp3)*cosph1ph2(l,k)-
5061      &            ggthet(k,l,m,ityp1,ityp2,ityp3)*cosph1ph2(k,l))
5062               if (lprn) then
5063               write (iout,*) "m",m," k",k," l",l," ffthet",
5064      &            ffthet(l,k,m,ityp1,ityp2,ityp3),
5065      &            ffthet(k,l,m,ityp1,ityp2,ityp3)," ggthet",
5066      &            ggthet(l,k,m,ityp1,ityp2,ityp3),
5067      &            ggthet(k,l,m,ityp1,ityp2,ityp3)," ethetai",ethetai
5068               write (iout,*) cosph1ph2(l,k)*sinkt(m),
5069      &            cosph1ph2(k,l)*sinkt(m),
5070      &            sinph1ph2(l,k)*sinkt(m),sinph1ph2(k,l)*sinkt(m)
5071               endif
5072             enddo
5073           enddo
5074         enddo
5075 10      continue
5076 c        lprn1=.true.
5077         if (lprn1) write (iout,'(a4,i2,3f8.1,9h ethetai ,f10.5)') 
5078      &  'ebe', i,theta(i)*rad2deg,phii*rad2deg,
5079      &   phii1*rad2deg,ethetai
5080 c        lprn1=.false.
5081         etheta=etheta+ethetai
5082         if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5083      &      'ebend',i,ethetai
5084         if (i.gt.3) gloc(i-3,icg)=gloc(i-3,icg)+wang*dephii
5085         if (i.lt.nres) gloc(i-2,icg)=gloc(i-2,icg)+wang*dephii1
5086         gloc(nphi+i-2,icg)=gloc(nphi+i-2,icg)+wang*dethetai
5087       enddo
5088       return
5089       end
5090 #endif
5091 #ifdef CRYST_SC
5092 c-----------------------------------------------------------------------------
5093       subroutine esc(escloc)
5094 C Calculate the local energy of a side chain and its derivatives in the
5095 C corresponding virtual-bond valence angles THETA and the spherical angles 
5096 C ALPHA and OMEGA.
5097       implicit real*8 (a-h,o-z)
5098       include 'DIMENSIONS'
5099       include 'COMMON.GEO'
5100       include 'COMMON.LOCAL'
5101       include 'COMMON.VAR'
5102       include 'COMMON.INTERACT'
5103       include 'COMMON.DERIV'
5104       include 'COMMON.CHAIN'
5105       include 'COMMON.IOUNITS'
5106       include 'COMMON.NAMES'
5107       include 'COMMON.FFIELD'
5108       include 'COMMON.CONTROL'
5109       double precision x(3),dersc(3),xemp(3),dersc0(3),dersc1(3),
5110      &     ddersc0(3),ddummy(3),xtemp(3),temp(3)
5111       common /sccalc/ time11,time12,time112,theti,it,nlobit
5112       delta=0.02d0*pi
5113       escloc=0.0D0
5114 c     write (iout,'(a)') 'ESC'
5115       do i=loc_start,loc_end
5116         it=itype(i)
5117         if (it.eq.10) goto 1
5118         nlobit=nlob(it)
5119 c       print *,'i=',i,' it=',it,' nlobit=',nlobit
5120 c       write (iout,*) 'i=',i,' ssa=',ssa,' ssad=',ssad
5121         theti=theta(i+1)-pipol
5122         x(1)=dtan(theti)
5123         x(2)=alph(i)
5124         x(3)=omeg(i)
5125
5126         if (x(2).gt.pi-delta) then
5127           xtemp(1)=x(1)
5128           xtemp(2)=pi-delta
5129           xtemp(3)=x(3)
5130           call enesc(xtemp,escloci0,dersc0,ddersc0,.true.)
5131           xtemp(2)=pi
5132           call enesc(xtemp,escloci1,dersc1,ddummy,.false.)
5133           call spline1(x(2),pi-delta,delta,escloci0,escloci1,dersc0(2),
5134      &        escloci,dersc(2))
5135           call spline2(x(2),pi-delta,delta,dersc0(1),dersc1(1),
5136      &        ddersc0(1),dersc(1))
5137           call spline2(x(2),pi-delta,delta,dersc0(3),dersc1(3),
5138      &        ddersc0(3),dersc(3))
5139           xtemp(2)=pi-delta
5140           call enesc_bound(xtemp,esclocbi0,dersc0,dersc12,.true.)
5141           xtemp(2)=pi
5142           call enesc_bound(xtemp,esclocbi1,dersc1,chuju,.false.)
5143           call spline1(x(2),pi-delta,delta,esclocbi0,esclocbi1,
5144      &            dersc0(2),esclocbi,dersc02)
5145           call spline2(x(2),pi-delta,delta,dersc0(1),dersc1(1),
5146      &            dersc12,dersc01)
5147           call splinthet(x(2),0.5d0*delta,ss,ssd)
5148           dersc0(1)=dersc01
5149           dersc0(2)=dersc02
5150           dersc0(3)=0.0d0
5151           do k=1,3
5152             dersc(k)=ss*dersc(k)+(1.0d0-ss)*dersc0(k)
5153           enddo
5154           dersc(2)=dersc(2)+ssd*(escloci-esclocbi)
5155 c         write (iout,*) 'i=',i,x(2)*rad2deg,escloci0,escloci,
5156 c    &             esclocbi,ss,ssd
5157           escloci=ss*escloci+(1.0d0-ss)*esclocbi
5158 c         escloci=esclocbi
5159 c         write (iout,*) escloci
5160         else if (x(2).lt.delta) then
5161           xtemp(1)=x(1)
5162           xtemp(2)=delta
5163           xtemp(3)=x(3)
5164           call enesc(xtemp,escloci0,dersc0,ddersc0,.true.)
5165           xtemp(2)=0.0d0
5166           call enesc(xtemp,escloci1,dersc1,ddummy,.false.)
5167           call spline1(x(2),delta,-delta,escloci0,escloci1,dersc0(2),
5168      &        escloci,dersc(2))
5169           call spline2(x(2),delta,-delta,dersc0(1),dersc1(1),
5170      &        ddersc0(1),dersc(1))
5171           call spline2(x(2),delta,-delta,dersc0(3),dersc1(3),
5172      &        ddersc0(3),dersc(3))
5173           xtemp(2)=delta
5174           call enesc_bound(xtemp,esclocbi0,dersc0,dersc12,.true.)
5175           xtemp(2)=0.0d0
5176           call enesc_bound(xtemp,esclocbi1,dersc1,chuju,.false.)
5177           call spline1(x(2),delta,-delta,esclocbi0,esclocbi1,
5178      &            dersc0(2),esclocbi,dersc02)
5179           call spline2(x(2),delta,-delta,dersc0(1),dersc1(1),
5180      &            dersc12,dersc01)
5181           dersc0(1)=dersc01
5182           dersc0(2)=dersc02
5183           dersc0(3)=0.0d0
5184           call splinthet(x(2),0.5d0*delta,ss,ssd)
5185           do k=1,3
5186             dersc(k)=ss*dersc(k)+(1.0d0-ss)*dersc0(k)
5187           enddo
5188           dersc(2)=dersc(2)+ssd*(escloci-esclocbi)
5189 c         write (iout,*) 'i=',i,x(2)*rad2deg,escloci0,escloci,
5190 c    &             esclocbi,ss,ssd
5191           escloci=ss*escloci+(1.0d0-ss)*esclocbi
5192 c         write (iout,*) escloci
5193         else
5194           call enesc(x,escloci,dersc,ddummy,.false.)
5195         endif
5196
5197         escloc=escloc+escloci
5198         if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5199      &     'escloc',i,escloci
5200 c       write (iout,*) 'i=',i,' escloci=',escloci,' dersc=',dersc
5201
5202         gloc(nphi+i-1,icg)=gloc(nphi+i-1,icg)+
5203      &   wscloc*dersc(1)
5204         gloc(ialph(i,1),icg)=wscloc*dersc(2)
5205         gloc(ialph(i,1)+nside,icg)=wscloc*dersc(3)
5206     1   continue
5207       enddo
5208       return
5209       end
5210 C---------------------------------------------------------------------------
5211       subroutine enesc(x,escloci,dersc,ddersc,mixed)
5212       implicit real*8 (a-h,o-z)
5213       include 'DIMENSIONS'
5214       include 'COMMON.GEO'
5215       include 'COMMON.LOCAL'
5216       include 'COMMON.IOUNITS'
5217       common /sccalc/ time11,time12,time112,theti,it,nlobit
5218       double precision x(3),z(3),Ax(3,maxlob,-1:1),dersc(3),ddersc(3)
5219       double precision contr(maxlob,-1:1)
5220       logical mixed
5221 c       write (iout,*) 'it=',it,' nlobit=',nlobit
5222         escloc_i=0.0D0
5223         do j=1,3
5224           dersc(j)=0.0D0
5225           if (mixed) ddersc(j)=0.0d0
5226         enddo
5227         x3=x(3)
5228
5229 C Because of periodicity of the dependence of the SC energy in omega we have
5230 C to add up the contributions from x(3)-2*pi, x(3), and x(3+2*pi).
5231 C To avoid underflows, first compute & store the exponents.
5232
5233         do iii=-1,1
5234
5235           x(3)=x3+iii*dwapi
5236  
5237           do j=1,nlobit
5238             do k=1,3
5239               z(k)=x(k)-censc(k,j,it)
5240             enddo
5241             do k=1,3
5242               Axk=0.0D0
5243               do l=1,3
5244                 Axk=Axk+gaussc(l,k,j,it)*z(l)
5245               enddo
5246               Ax(k,j,iii)=Axk
5247             enddo 
5248             expfac=0.0D0 
5249             do k=1,3
5250               expfac=expfac+Ax(k,j,iii)*z(k)
5251             enddo
5252             contr(j,iii)=expfac
5253           enddo ! j
5254
5255         enddo ! iii
5256
5257         x(3)=x3
5258 C As in the case of ebend, we want to avoid underflows in exponentiation and
5259 C subsequent NaNs and INFs in energy calculation.
5260 C Find the largest exponent
5261         emin=contr(1,-1)
5262         do iii=-1,1
5263           do j=1,nlobit
5264             if (emin.gt.contr(j,iii)) emin=contr(j,iii)
5265           enddo 
5266         enddo
5267         emin=0.5D0*emin
5268 cd      print *,'it=',it,' emin=',emin
5269
5270 C Compute the contribution to SC energy and derivatives
5271         do iii=-1,1
5272
5273           do j=1,nlobit
5274 #ifdef OSF
5275             adexp=bsc(j,it)-0.5D0*contr(j,iii)+emin
5276             if(adexp.ne.adexp) adexp=1.0
5277             expfac=dexp(adexp)
5278 #else
5279             expfac=dexp(bsc(j,it)-0.5D0*contr(j,iii)+emin)
5280 #endif
5281 cd          print *,'j=',j,' expfac=',expfac
5282             escloc_i=escloc_i+expfac
5283             do k=1,3
5284               dersc(k)=dersc(k)+Ax(k,j,iii)*expfac
5285             enddo
5286             if (mixed) then
5287               do k=1,3,2
5288                 ddersc(k)=ddersc(k)+(-Ax(2,j,iii)*Ax(k,j,iii)
5289      &            +gaussc(k,2,j,it))*expfac
5290               enddo
5291             endif
5292           enddo
5293
5294         enddo ! iii
5295
5296         dersc(1)=dersc(1)/cos(theti)**2
5297         ddersc(1)=ddersc(1)/cos(theti)**2
5298         ddersc(3)=ddersc(3)
5299
5300         escloci=-(dlog(escloc_i)-emin)
5301         do j=1,3
5302           dersc(j)=dersc(j)/escloc_i
5303         enddo
5304         if (mixed) then
5305           do j=1,3,2
5306             ddersc(j)=(ddersc(j)/escloc_i+dersc(2)*dersc(j))
5307           enddo
5308         endif
5309       return
5310       end
5311 C------------------------------------------------------------------------------
5312       subroutine enesc_bound(x,escloci,dersc,dersc12,mixed)
5313       implicit real*8 (a-h,o-z)
5314       include 'DIMENSIONS'
5315       include 'COMMON.GEO'
5316       include 'COMMON.LOCAL'
5317       include 'COMMON.IOUNITS'
5318       common /sccalc/ time11,time12,time112,theti,it,nlobit
5319       double precision x(3),z(3),Ax(3,maxlob),dersc(3)
5320       double precision contr(maxlob)
5321       logical mixed
5322
5323       escloc_i=0.0D0
5324
5325       do j=1,3
5326         dersc(j)=0.0D0
5327       enddo
5328
5329       do j=1,nlobit
5330         do k=1,2
5331           z(k)=x(k)-censc(k,j,it)
5332         enddo
5333         z(3)=dwapi
5334         do k=1,3
5335           Axk=0.0D0
5336           do l=1,3
5337             Axk=Axk+gaussc(l,k,j,it)*z(l)
5338           enddo
5339           Ax(k,j)=Axk
5340         enddo 
5341         expfac=0.0D0 
5342         do k=1,3
5343           expfac=expfac+Ax(k,j)*z(k)
5344         enddo
5345         contr(j)=expfac
5346       enddo ! j
5347
5348 C As in the case of ebend, we want to avoid underflows in exponentiation and
5349 C subsequent NaNs and INFs in energy calculation.
5350 C Find the largest exponent
5351       emin=contr(1)
5352       do j=1,nlobit
5353         if (emin.gt.contr(j)) emin=contr(j)
5354       enddo 
5355       emin=0.5D0*emin
5356  
5357 C Compute the contribution to SC energy and derivatives
5358
5359       dersc12=0.0d0
5360       do j=1,nlobit
5361         expfac=dexp(bsc(j,it)-0.5D0*contr(j)+emin)
5362         escloc_i=escloc_i+expfac
5363         do k=1,2
5364           dersc(k)=dersc(k)+Ax(k,j)*expfac
5365         enddo
5366         if (mixed) dersc12=dersc12+(-Ax(2,j)*Ax(1,j)
5367      &            +gaussc(1,2,j,it))*expfac
5368         dersc(3)=0.0d0
5369       enddo
5370
5371       dersc(1)=dersc(1)/cos(theti)**2
5372       dersc12=dersc12/cos(theti)**2
5373       escloci=-(dlog(escloc_i)-emin)
5374       do j=1,2
5375         dersc(j)=dersc(j)/escloc_i
5376       enddo
5377       if (mixed) dersc12=(dersc12/escloc_i+dersc(2)*dersc(1))
5378       return
5379       end
5380 #else
5381 c----------------------------------------------------------------------------------
5382       subroutine esc(escloc)
5383 C Calculate the local energy of a side chain and its derivatives in the
5384 C corresponding virtual-bond valence angles THETA and the spherical angles 
5385 C ALPHA and OMEGA derived from AM1 all-atom calculations.
5386 C added by Urszula Kozlowska. 07/11/2007
5387 C
5388       implicit real*8 (a-h,o-z)
5389       include 'DIMENSIONS'
5390       include 'COMMON.GEO'
5391       include 'COMMON.LOCAL'
5392       include 'COMMON.VAR'
5393       include 'COMMON.SCROT'
5394       include 'COMMON.INTERACT'
5395       include 'COMMON.DERIV'
5396       include 'COMMON.CHAIN'
5397       include 'COMMON.IOUNITS'
5398       include 'COMMON.NAMES'
5399       include 'COMMON.FFIELD'
5400       include 'COMMON.CONTROL'
5401       include 'COMMON.VECTORS'
5402       double precision x_prime(3),y_prime(3),z_prime(3)
5403      &    , sumene,dsc_i,dp2_i,x(65),
5404      &     xx,yy,zz,sumene1,sumene2,sumene3,sumene4,s1,s1_6,s2,s2_6,
5405      &    de_dxx,de_dyy,de_dzz,de_dt
5406       double precision s1_t,s1_6_t,s2_t,s2_6_t
5407       double precision 
5408      & dXX_Ci1(3),dYY_Ci1(3),dZZ_Ci1(3),dXX_Ci(3),
5409      & dYY_Ci(3),dZZ_Ci(3),dXX_XYZ(3),dYY_XYZ(3),dZZ_XYZ(3),
5410      & dt_dCi(3),dt_dCi1(3)
5411       common /sccalc/ time11,time12,time112,theti,it,nlobit
5412       delta=0.02d0*pi
5413       escloc=0.0D0
5414 c      write(iout,*) "ESC: loc_start",loc_start," loc_end",loc_end
5415       do i=loc_start,loc_end
5416         costtab(i+1) =dcos(theta(i+1))
5417         sinttab(i+1) =dsqrt(1-costtab(i+1)*costtab(i+1))
5418         cost2tab(i+1)=dsqrt(0.5d0*(1.0d0+costtab(i+1)))
5419         sint2tab(i+1)=dsqrt(0.5d0*(1.0d0-costtab(i+1)))
5420         cosfac2=0.5d0/(1.0d0+costtab(i+1))
5421         cosfac=dsqrt(cosfac2)
5422         sinfac2=0.5d0/(1.0d0-costtab(i+1))
5423         sinfac=dsqrt(sinfac2)
5424         it=itype(i)
5425         if (it.eq.10) goto 1
5426 c
5427 C  Compute the axes of tghe local cartesian coordinates system; store in
5428 c   x_prime, y_prime and z_prime 
5429 c
5430         do j=1,3
5431           x_prime(j) = 0.00
5432           y_prime(j) = 0.00
5433           z_prime(j) = 0.00
5434         enddo
5435 C        write(2,*) "dc_norm", dc_norm(1,i+nres),dc_norm(2,i+nres),
5436 C     &   dc_norm(3,i+nres)
5437         do j = 1,3
5438           x_prime(j) = (dc_norm(j,i) - dc_norm(j,i-1))*cosfac
5439           y_prime(j) = (dc_norm(j,i) + dc_norm(j,i-1))*sinfac
5440         enddo
5441         do j = 1,3
5442           z_prime(j) = -uz(j,i-1)
5443         enddo     
5444 c       write (2,*) "i",i
5445 c       write (2,*) "x_prime",(x_prime(j),j=1,3)
5446 c       write (2,*) "y_prime",(y_prime(j),j=1,3)
5447 c       write (2,*) "z_prime",(z_prime(j),j=1,3)
5448 c       write (2,*) "xx",scalar(x_prime(1),x_prime(1)),
5449 c      & " xy",scalar(x_prime(1),y_prime(1)),
5450 c      & " xz",scalar(x_prime(1),z_prime(1)),
5451 c      & " yy",scalar(y_prime(1),y_prime(1)),
5452 c      & " yz",scalar(y_prime(1),z_prime(1)),
5453 c      & " zz",scalar(z_prime(1),z_prime(1))
5454 c
5455 C Transform the unit vector of the ith side-chain centroid, dC_norm(*,i),
5456 C to local coordinate system. Store in xx, yy, zz.
5457 c
5458         xx=0.0d0
5459         yy=0.0d0
5460         zz=0.0d0
5461         do j = 1,3
5462           xx = xx + x_prime(j)*dc_norm(j,i+nres)
5463           yy = yy + y_prime(j)*dc_norm(j,i+nres)
5464           zz = zz + z_prime(j)*dc_norm(j,i+nres)
5465         enddo
5466
5467         xxtab(i)=xx
5468         yytab(i)=yy
5469         zztab(i)=zz
5470 C
5471 C Compute the energy of the ith side cbain
5472 C
5473 c        write (2,*) "xx",xx," yy",yy," zz",zz
5474         it=itype(i)
5475         do j = 1,65
5476           x(j) = sc_parmin(j,it) 
5477         enddo
5478 #ifdef CHECK_COORD
5479 Cc diagnostics - remove later
5480         xx1 = dcos(alph(2))
5481         yy1 = dsin(alph(2))*dcos(omeg(2))
5482         zz1 = -dsin(alph(2))*dsin(omeg(2))
5483         write(2,'(3f8.1,3f9.3,1x,3f9.3)') 
5484      &    alph(2)*rad2deg,omeg(2)*rad2deg,theta(3)*rad2deg,xx,yy,zz,
5485      &    xx1,yy1,zz1
5486 C,"  --- ", xx_w,yy_w,zz_w
5487 c end diagnostics
5488 #endif
5489         sumene1= x(1)+  x(2)*xx+  x(3)*yy+  x(4)*zz+  x(5)*xx**2
5490      &   + x(6)*yy**2+  x(7)*zz**2+  x(8)*xx*zz+  x(9)*xx*yy
5491      &   + x(10)*yy*zz
5492         sumene2=  x(11) + x(12)*xx + x(13)*yy + x(14)*zz + x(15)*xx**2
5493      & + x(16)*yy**2 + x(17)*zz**2 + x(18)*xx*zz + x(19)*xx*yy
5494      & + x(20)*yy*zz
5495         sumene3=  x(21) +x(22)*xx +x(23)*yy +x(24)*zz +x(25)*xx**2
5496      &  +x(26)*yy**2 +x(27)*zz**2 +x(28)*xx*zz +x(29)*xx*yy
5497      &  +x(30)*yy*zz +x(31)*xx**3 +x(32)*yy**3 +x(33)*zz**3
5498      &  +x(34)*(xx**2)*yy +x(35)*(xx**2)*zz +x(36)*(yy**2)*xx
5499      &  +x(37)*(yy**2)*zz +x(38)*(zz**2)*xx +x(39)*(zz**2)*yy
5500      &  +x(40)*xx*yy*zz
5501         sumene4= x(41) +x(42)*xx +x(43)*yy +x(44)*zz +x(45)*xx**2
5502      &  +x(46)*yy**2 +x(47)*zz**2 +x(48)*xx*zz +x(49)*xx*yy
5503      &  +x(50)*yy*zz +x(51)*xx**3 +x(52)*yy**3 +x(53)*zz**3
5504      &  +x(54)*(xx**2)*yy +x(55)*(xx**2)*zz +x(56)*(yy**2)*xx
5505      &  +x(57)*(yy**2)*zz +x(58)*(zz**2)*xx +x(59)*(zz**2)*yy
5506      &  +x(60)*xx*yy*zz
5507         dsc_i   = 0.743d0+x(61)
5508         dp2_i   = 1.9d0+x(62)
5509         dscp1=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5510      &          *(xx*cost2tab(i+1)+yy*sint2tab(i+1)))
5511         dscp2=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5512      &          *(xx*cost2tab(i+1)-yy*sint2tab(i+1)))
5513         s1=(1+x(63))/(0.1d0 + dscp1)
5514         s1_6=(1+x(64))/(0.1d0 + dscp1**6)
5515         s2=(1+x(65))/(0.1d0 + dscp2)
5516         s2_6=(1+x(65))/(0.1d0 + dscp2**6)
5517         sumene = ( sumene3*sint2tab(i+1) + sumene1)*(s1+s1_6)
5518      & + (sumene4*cost2tab(i+1) +sumene2)*(s2+s2_6)
5519 c        write(2,'(i2," sumene",7f9.3)') i,sumene1,sumene2,sumene3,
5520 c     &   sumene4,
5521 c     &   dscp1,dscp2,sumene
5522 c        sumene = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5523         escloc = escloc + sumene
5524 c        write (2,*) "i",i," escloc",sumene,escloc
5525 #ifdef DEBUG
5526 C
5527 C This section to check the numerical derivatives of the energy of ith side
5528 C chain in xx, yy, zz, and theta. Use the -DDEBUG compiler option or insert
5529 C #define DEBUG in the code to turn it on.
5530 C
5531         write (2,*) "sumene               =",sumene
5532         aincr=1.0d-7
5533         xxsave=xx
5534         xx=xx+aincr
5535         write (2,*) xx,yy,zz
5536         sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5537         de_dxx_num=(sumenep-sumene)/aincr
5538         xx=xxsave
5539         write (2,*) "xx+ sumene from enesc=",sumenep
5540         yysave=yy
5541         yy=yy+aincr
5542         write (2,*) xx,yy,zz
5543         sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5544         de_dyy_num=(sumenep-sumene)/aincr
5545         yy=yysave
5546         write (2,*) "yy+ sumene from enesc=",sumenep
5547         zzsave=zz
5548         zz=zz+aincr
5549         write (2,*) xx,yy,zz
5550         sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5551         de_dzz_num=(sumenep-sumene)/aincr
5552         zz=zzsave
5553         write (2,*) "zz+ sumene from enesc=",sumenep
5554         costsave=cost2tab(i+1)
5555         sintsave=sint2tab(i+1)
5556         cost2tab(i+1)=dcos(0.5d0*(theta(i+1)+aincr))
5557         sint2tab(i+1)=dsin(0.5d0*(theta(i+1)+aincr))
5558         sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5559         de_dt_num=(sumenep-sumene)/aincr
5560         write (2,*) " t+ sumene from enesc=",sumenep
5561         cost2tab(i+1)=costsave
5562         sint2tab(i+1)=sintsave
5563 C End of diagnostics section.
5564 #endif
5565 C        
5566 C Compute the gradient of esc
5567 C
5568         pom_s1=(1.0d0+x(63))/(0.1d0 + dscp1)**2
5569         pom_s16=6*(1.0d0+x(64))/(0.1d0 + dscp1**6)**2
5570         pom_s2=(1.0d0+x(65))/(0.1d0 + dscp2)**2
5571         pom_s26=6*(1.0d0+x(65))/(0.1d0 + dscp2**6)**2
5572         pom_dx=dsc_i*dp2_i*cost2tab(i+1)
5573         pom_dy=dsc_i*dp2_i*sint2tab(i+1)
5574         pom_dt1=-0.5d0*dsc_i*dp2_i*(xx*sint2tab(i+1)-yy*cost2tab(i+1))
5575         pom_dt2=-0.5d0*dsc_i*dp2_i*(xx*sint2tab(i+1)+yy*cost2tab(i+1))
5576         pom1=(sumene3*sint2tab(i+1)+sumene1)
5577      &     *(pom_s1/dscp1+pom_s16*dscp1**4)
5578         pom2=(sumene4*cost2tab(i+1)+sumene2)
5579      &     *(pom_s2/dscp2+pom_s26*dscp2**4)
5580         sumene1x=x(2)+2*x(5)*xx+x(8)*zz+ x(9)*yy
5581         sumene3x=x(22)+2*x(25)*xx+x(28)*zz+x(29)*yy+3*x(31)*xx**2
5582      &  +2*x(34)*xx*yy +2*x(35)*xx*zz +x(36)*(yy**2) +x(38)*(zz**2)
5583      &  +x(40)*yy*zz
5584         sumene2x=x(12)+2*x(15)*xx+x(18)*zz+ x(19)*yy
5585         sumene4x=x(42)+2*x(45)*xx +x(48)*zz +x(49)*yy +3*x(51)*xx**2
5586      &  +2*x(54)*xx*yy+2*x(55)*xx*zz+x(56)*(yy**2)+x(58)*(zz**2)
5587      &  +x(60)*yy*zz
5588         de_dxx =(sumene1x+sumene3x*sint2tab(i+1))*(s1+s1_6)
5589      &        +(sumene2x+sumene4x*cost2tab(i+1))*(s2+s2_6)
5590      &        +(pom1+pom2)*pom_dx
5591 #ifdef DEBUG
5592         write(2,*), "de_dxx = ", de_dxx,de_dxx_num
5593 #endif
5594 C
5595         sumene1y=x(3) + 2*x(6)*yy + x(9)*xx + x(10)*zz
5596         sumene3y=x(23) +2*x(26)*yy +x(29)*xx +x(30)*zz +3*x(32)*yy**2
5597      &  +x(34)*(xx**2) +2*x(36)*yy*xx +2*x(37)*yy*zz +x(39)*(zz**2)
5598      &  +x(40)*xx*zz
5599         sumene2y=x(13) + 2*x(16)*yy + x(19)*xx + x(20)*zz
5600         sumene4y=x(43)+2*x(46)*yy+x(49)*xx +x(50)*zz
5601      &  +3*x(52)*yy**2+x(54)*xx**2+2*x(56)*yy*xx +2*x(57)*yy*zz
5602      &  +x(59)*zz**2 +x(60)*xx*zz
5603         de_dyy =(sumene1y+sumene3y*sint2tab(i+1))*(s1+s1_6)
5604      &        +(sumene2y+sumene4y*cost2tab(i+1))*(s2+s2_6)
5605      &        +(pom1-pom2)*pom_dy
5606 #ifdef DEBUG
5607         write(2,*), "de_dyy = ", de_dyy,de_dyy_num
5608 #endif
5609 C
5610         de_dzz =(x(24) +2*x(27)*zz +x(28)*xx +x(30)*yy
5611      &  +3*x(33)*zz**2 +x(35)*xx**2 +x(37)*yy**2 +2*x(38)*zz*xx 
5612      &  +2*x(39)*zz*yy +x(40)*xx*yy)*sint2tab(i+1)*(s1+s1_6) 
5613      &  +(x(4) + 2*x(7)*zz+  x(8)*xx + x(10)*yy)*(s1+s1_6) 
5614      &  +(x(44)+2*x(47)*zz +x(48)*xx   +x(50)*yy  +3*x(53)*zz**2   
5615      &  +x(55)*xx**2 +x(57)*(yy**2)+2*x(58)*zz*xx +2*x(59)*zz*yy  
5616      &  +x(60)*xx*yy)*cost2tab(i+1)*(s2+s2_6)
5617      &  + ( x(14) + 2*x(17)*zz+  x(18)*xx + x(20)*yy)*(s2+s2_6)
5618 #ifdef DEBUG
5619         write(2,*), "de_dzz = ", de_dzz,de_dzz_num
5620 #endif
5621 C
5622         de_dt =  0.5d0*sumene3*cost2tab(i+1)*(s1+s1_6) 
5623      &  -0.5d0*sumene4*sint2tab(i+1)*(s2+s2_6)
5624      &  +pom1*pom_dt1+pom2*pom_dt2
5625 #ifdef DEBUG
5626         write(2,*), "de_dt = ", de_dt,de_dt_num
5627 #endif
5628
5629 C
5630        cossc=scalar(dc_norm(1,i),dc_norm(1,i+nres))
5631        cossc1=scalar(dc_norm(1,i-1),dc_norm(1,i+nres))
5632        cosfac2xx=cosfac2*xx
5633        sinfac2yy=sinfac2*yy
5634        do k = 1,3
5635          dt_dCi(k) = -(dc_norm(k,i-1)+costtab(i+1)*dc_norm(k,i))*
5636      &      vbld_inv(i+1)
5637          dt_dCi1(k)= -(dc_norm(k,i)+costtab(i+1)*dc_norm(k,i-1))*
5638      &      vbld_inv(i)
5639          pom=(dC_norm(k,i+nres)-cossc*dC_norm(k,i))*vbld_inv(i+1)
5640          pom1=(dC_norm(k,i+nres)-cossc1*dC_norm(k,i-1))*vbld_inv(i)
5641 c         write (iout,*) "i",i," k",k," pom",pom," pom1",pom1,
5642 c     &    " dt_dCi",dt_dCi(k)," dt_dCi1",dt_dCi1(k)
5643 c         write (iout,*) "dC_norm",(dC_norm(j,i),j=1,3),
5644 c     &   (dC_norm(j,i-1),j=1,3)," vbld_inv",vbld_inv(i+1),vbld_inv(i)
5645          dXX_Ci(k)=pom*cosfac-dt_dCi(k)*cosfac2xx
5646          dXX_Ci1(k)=-pom1*cosfac-dt_dCi1(k)*cosfac2xx
5647          dYY_Ci(k)=pom*sinfac+dt_dCi(k)*sinfac2yy
5648          dYY_Ci1(k)=pom1*sinfac+dt_dCi1(k)*sinfac2yy
5649          dZZ_Ci1(k)=0.0d0
5650          dZZ_Ci(k)=0.0d0
5651          do j=1,3
5652            dZZ_Ci(k)=dZZ_Ci(k)-uzgrad(j,k,2,i-1)*dC_norm(j,i+nres)
5653            dZZ_Ci1(k)=dZZ_Ci1(k)-uzgrad(j,k,1,i-1)*dC_norm(j,i+nres)
5654          enddo
5655           
5656          dXX_XYZ(k)=vbld_inv(i+nres)*(x_prime(k)-xx*dC_norm(k,i+nres))
5657          dYY_XYZ(k)=vbld_inv(i+nres)*(y_prime(k)-yy*dC_norm(k,i+nres))
5658          dZZ_XYZ(k)=vbld_inv(i+nres)*(z_prime(k)-zz*dC_norm(k,i+nres))
5659 c
5660          dt_dCi(k) = -dt_dCi(k)/sinttab(i+1)
5661          dt_dCi1(k)= -dt_dCi1(k)/sinttab(i+1)
5662        enddo
5663
5664        do k=1,3
5665          dXX_Ctab(k,i)=dXX_Ci(k)
5666          dXX_C1tab(k,i)=dXX_Ci1(k)
5667          dYY_Ctab(k,i)=dYY_Ci(k)
5668          dYY_C1tab(k,i)=dYY_Ci1(k)
5669          dZZ_Ctab(k,i)=dZZ_Ci(k)
5670          dZZ_C1tab(k,i)=dZZ_Ci1(k)
5671          dXX_XYZtab(k,i)=dXX_XYZ(k)
5672          dYY_XYZtab(k,i)=dYY_XYZ(k)
5673          dZZ_XYZtab(k,i)=dZZ_XYZ(k)
5674        enddo
5675
5676        do k = 1,3
5677 c         write (iout,*) "k",k," dxx_ci1",dxx_ci1(k)," dyy_ci1",
5678 c     &    dyy_ci1(k)," dzz_ci1",dzz_ci1(k)
5679 c         write (iout,*) "k",k," dxx_ci",dxx_ci(k)," dyy_ci",
5680 c     &    dyy_ci(k)," dzz_ci",dzz_ci(k)
5681 c         write (iout,*) "k",k," dt_dci",dt_dci(k)," dt_dci",
5682 c     &    dt_dci(k)
5683 c         write (iout,*) "k",k," dxx_XYZ",dxx_XYZ(k)," dyy_XYZ",
5684 c     &    dyy_XYZ(k)," dzz_XYZ",dzz_XYZ(k) 
5685          gscloc(k,i-1)=gscloc(k,i-1)+de_dxx*dxx_ci1(k)
5686      &    +de_dyy*dyy_ci1(k)+de_dzz*dzz_ci1(k)+de_dt*dt_dCi1(k)
5687          gscloc(k,i)=gscloc(k,i)+de_dxx*dxx_Ci(k)
5688      &    +de_dyy*dyy_Ci(k)+de_dzz*dzz_Ci(k)+de_dt*dt_dCi(k)
5689          gsclocx(k,i)=                 de_dxx*dxx_XYZ(k)
5690      &    +de_dyy*dyy_XYZ(k)+de_dzz*dzz_XYZ(k)
5691        enddo
5692 c       write(iout,*) "ENERGY GRAD = ", (gscloc(k,i-1),k=1,3),
5693 c     &  (gscloc(k,i),k=1,3),(gsclocx(k,i),k=1,3)  
5694
5695 C to check gradient call subroutine check_grad
5696
5697     1 continue
5698       enddo
5699       return
5700       end
5701 c------------------------------------------------------------------------------
5702       double precision function enesc(x,xx,yy,zz,cost2,sint2)
5703       implicit none
5704       double precision x(65),xx,yy,zz,cost2,sint2,sumene1,sumene2,
5705      & sumene3,sumene4,sumene,dsc_i,dp2_i,dscp1,dscp2,s1,s1_6,s2,s2_6
5706       sumene1= x(1)+  x(2)*xx+  x(3)*yy+  x(4)*zz+  x(5)*xx**2
5707      &   + x(6)*yy**2+  x(7)*zz**2+  x(8)*xx*zz+  x(9)*xx*yy
5708      &   + x(10)*yy*zz
5709       sumene2=  x(11) + x(12)*xx + x(13)*yy + x(14)*zz + x(15)*xx**2
5710      & + x(16)*yy**2 + x(17)*zz**2 + x(18)*xx*zz + x(19)*xx*yy
5711      & + x(20)*yy*zz
5712       sumene3=  x(21) +x(22)*xx +x(23)*yy +x(24)*zz +x(25)*xx**2
5713      &  +x(26)*yy**2 +x(27)*zz**2 +x(28)*xx*zz +x(29)*xx*yy
5714      &  +x(30)*yy*zz +x(31)*xx**3 +x(32)*yy**3 +x(33)*zz**3
5715      &  +x(34)*(xx**2)*yy +x(35)*(xx**2)*zz +x(36)*(yy**2)*xx
5716      &  +x(37)*(yy**2)*zz +x(38)*(zz**2)*xx +x(39)*(zz**2)*yy
5717      &  +x(40)*xx*yy*zz
5718       sumene4= x(41) +x(42)*xx +x(43)*yy +x(44)*zz +x(45)*xx**2
5719      &  +x(46)*yy**2 +x(47)*zz**2 +x(48)*xx*zz +x(49)*xx*yy
5720      &  +x(50)*yy*zz +x(51)*xx**3 +x(52)*yy**3 +x(53)*zz**3
5721      &  +x(54)*(xx**2)*yy +x(55)*(xx**2)*zz +x(56)*(yy**2)*xx
5722      &  +x(57)*(yy**2)*zz +x(58)*(zz**2)*xx +x(59)*(zz**2)*yy
5723      &  +x(60)*xx*yy*zz
5724       dsc_i   = 0.743d0+x(61)
5725       dp2_i   = 1.9d0+x(62)
5726       dscp1=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5727      &          *(xx*cost2+yy*sint2))
5728       dscp2=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5729      &          *(xx*cost2-yy*sint2))
5730       s1=(1+x(63))/(0.1d0 + dscp1)
5731       s1_6=(1+x(64))/(0.1d0 + dscp1**6)
5732       s2=(1+x(65))/(0.1d0 + dscp2)
5733       s2_6=(1+x(65))/(0.1d0 + dscp2**6)
5734       sumene = ( sumene3*sint2 + sumene1)*(s1+s1_6)
5735      & + (sumene4*cost2 +sumene2)*(s2+s2_6)
5736       enesc=sumene
5737       return
5738       end
5739 #endif
5740 c------------------------------------------------------------------------------
5741       subroutine gcont(rij,r0ij,eps0ij,delta,fcont,fprimcont)
5742 C
5743 C This procedure calculates two-body contact function g(rij) and its derivative:
5744 C
5745 C           eps0ij                                     !       x < -1
5746 C g(rij) =  esp0ij*(-0.9375*x+0.625*x**3-0.1875*x**5)  ! -1 =< x =< 1
5747 C            0                                         !       x > 1
5748 C
5749 C where x=(rij-r0ij)/delta
5750 C
5751 C rij - interbody distance, r0ij - contact distance, eps0ij - contact energy
5752 C
5753       implicit none
5754       double precision rij,r0ij,eps0ij,fcont,fprimcont
5755       double precision x,x2,x4,delta
5756 c     delta=0.02D0*r0ij
5757 c      delta=0.2D0*r0ij
5758       x=(rij-r0ij)/delta
5759       if (x.lt.-1.0D0) then
5760         fcont=eps0ij
5761         fprimcont=0.0D0
5762       else if (x.le.1.0D0) then  
5763         x2=x*x
5764         x4=x2*x2
5765         fcont=eps0ij*(x*(-0.9375D0+0.6250D0*x2-0.1875D0*x4)+0.5D0)
5766         fprimcont=eps0ij * (-0.9375D0+1.8750D0*x2-0.9375D0*x4)/delta
5767       else
5768         fcont=0.0D0
5769         fprimcont=0.0D0
5770       endif
5771       return
5772       end
5773 c------------------------------------------------------------------------------
5774       subroutine splinthet(theti,delta,ss,ssder)
5775       implicit real*8 (a-h,o-z)
5776       include 'DIMENSIONS'
5777       include 'COMMON.VAR'
5778       include 'COMMON.GEO'
5779       thetup=pi-delta
5780       thetlow=delta
5781       if (theti.gt.pipol) then
5782         call gcont(theti,thetup,1.0d0,delta,ss,ssder)
5783       else
5784         call gcont(-theti,-thetlow,1.0d0,delta,ss,ssder)
5785         ssder=-ssder
5786       endif
5787       return
5788       end
5789 c------------------------------------------------------------------------------
5790       subroutine spline1(x,x0,delta,f0,f1,fprim0,f,fprim)
5791       implicit none
5792       double precision x,x0,delta,f0,f1,fprim0,f,fprim
5793       double precision ksi,ksi2,ksi3,a1,a2,a3
5794       a1=fprim0*delta/(f1-f0)
5795       a2=3.0d0-2.0d0*a1
5796       a3=a1-2.0d0
5797       ksi=(x-x0)/delta
5798       ksi2=ksi*ksi
5799       ksi3=ksi2*ksi  
5800       f=f0+(f1-f0)*ksi*(a1+ksi*(a2+a3*ksi))
5801       fprim=(f1-f0)/delta*(a1+ksi*(2*a2+3*ksi*a3))
5802       return
5803       end
5804 c------------------------------------------------------------------------------
5805       subroutine spline2(x,x0,delta,f0x,f1x,fprim0x,fx)
5806       implicit none
5807       double precision x,x0,delta,f0x,f1x,fprim0x,fx
5808       double precision ksi,ksi2,ksi3,a1,a2,a3
5809       ksi=(x-x0)/delta  
5810       ksi2=ksi*ksi
5811       ksi3=ksi2*ksi
5812       a1=fprim0x*delta
5813       a2=3*(f1x-f0x)-2*fprim0x*delta
5814       a3=fprim0x*delta-2*(f1x-f0x)
5815       fx=f0x+a1*ksi+a2*ksi2+a3*ksi3
5816       return
5817       end
5818 C-----------------------------------------------------------------------------
5819 #ifdef CRYST_TOR
5820 C-----------------------------------------------------------------------------
5821       subroutine etor(etors,edihcnstr)
5822       implicit real*8 (a-h,o-z)
5823       include 'DIMENSIONS'
5824       include 'COMMON.VAR'
5825       include 'COMMON.GEO'
5826       include 'COMMON.LOCAL'
5827       include 'COMMON.TORSION'
5828       include 'COMMON.INTERACT'
5829       include 'COMMON.DERIV'
5830       include 'COMMON.CHAIN'
5831       include 'COMMON.NAMES'
5832       include 'COMMON.IOUNITS'
5833       include 'COMMON.FFIELD'
5834       include 'COMMON.TORCNSTR'
5835       include 'COMMON.CONTROL'
5836       logical lprn
5837 C Set lprn=.true. for debugging
5838       lprn=.false.
5839 c      lprn=.true.
5840       etors=0.0D0
5841       do i=iphi_start,iphi_end
5842       etors_ii=0.0D0
5843         itori=itortyp(itype(i-2))
5844         itori1=itortyp(itype(i-1))
5845         phii=phi(i)
5846         gloci=0.0D0
5847 C Proline-Proline pair is a special case...
5848         if (itori.eq.3 .and. itori1.eq.3) then
5849           if (phii.gt.-dwapi3) then
5850             cosphi=dcos(3*phii)
5851             fac=1.0D0/(1.0D0-cosphi)
5852             etorsi=v1(1,3,3)*fac
5853             etorsi=etorsi+etorsi
5854             etors=etors+etorsi-v1(1,3,3)
5855             if (energy_dec) etors_ii=etors_ii+etorsi-v1(1,3,3)      
5856             gloci=gloci-3*fac*etorsi*dsin(3*phii)
5857           endif
5858           do j=1,3
5859             v1ij=v1(j+1,itori,itori1)
5860             v2ij=v2(j+1,itori,itori1)
5861             cosphi=dcos(j*phii)
5862             sinphi=dsin(j*phii)
5863             etors=etors+v1ij*cosphi+v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5864             if (energy_dec) etors_ii=etors_ii+
5865      &                              v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5866             gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
5867           enddo
5868         else 
5869           do j=1,nterm_old
5870             v1ij=v1(j,itori,itori1)
5871             v2ij=v2(j,itori,itori1)
5872             cosphi=dcos(j*phii)
5873             sinphi=dsin(j*phii)
5874             etors=etors+v1ij*cosphi+v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5875             if (energy_dec) etors_ii=etors_ii+
5876      &                  v1ij*cosphi+v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5877             gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
5878           enddo
5879         endif
5880         if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5881      &        'etor',i,etors_ii
5882         if (lprn)
5883      &  write (iout,'(2(a3,2x,i3,2x),2i3,6f8.3/26x,6f8.3/)')
5884      &  restyp(itype(i-2)),i-2,restyp(itype(i-1)),i-1,itori,itori1,
5885      &  (v1(j,itori,itori1),j=1,6),(v2(j,itori,itori1),j=1,6)
5886         gloc(i-3,icg)=gloc(i-3,icg)+wtor*gloci
5887         write (iout,*) 'i=',i,' gloc=',gloc(i-3,icg)
5888       enddo
5889 ! 6/20/98 - dihedral angle constraints
5890       edihcnstr=0.0d0
5891       do i=1,ndih_constr
5892         itori=idih_constr(i)
5893         phii=phi(itori)
5894         difi=phii-phi0(i)
5895         if (difi.gt.drange(i)) then
5896           difi=difi-drange(i)
5897           edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5898           gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5899         else if (difi.lt.-drange(i)) then
5900           difi=difi+drange(i)
5901           edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5902           gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5903         endif
5904 !        write (iout,'(2i5,2f8.3,2e14.5)') i,itori,rad2deg*phii,
5905 !     &    rad2deg*difi,0.25d0*ftors*difi**4,gloc(itori-3,icg)
5906       enddo
5907 !      write (iout,*) 'edihcnstr',edihcnstr
5908       return
5909       end
5910 c------------------------------------------------------------------------------
5911 c LICZENIE WIEZOW Z ROWNANIA ENERGII MODELLERA
5912       subroutine e_modeller(ehomology_constr)
5913       ehomology_constr=0.0d0
5914       write (iout,*) "!!!!!UWAGA, JESTEM W DZIWNEJ PETLI, TEST!!!!!"
5915       return
5916       end
5917 C !!!!!!!! NIE CZYTANE !!!!!!!!!!!
5918
5919 c------------------------------------------------------------------------------
5920       subroutine etor_d(etors_d)
5921       etors_d=0.0d0
5922       return
5923       end
5924 c----------------------------------------------------------------------------
5925 #else
5926       subroutine etor(etors,edihcnstr)
5927       implicit real*8 (a-h,o-z)
5928       include 'DIMENSIONS'
5929       include 'COMMON.VAR'
5930       include 'COMMON.GEO'
5931       include 'COMMON.LOCAL'
5932       include 'COMMON.TORSION'
5933       include 'COMMON.INTERACT'
5934       include 'COMMON.DERIV'
5935       include 'COMMON.CHAIN'
5936       include 'COMMON.NAMES'
5937       include 'COMMON.IOUNITS'
5938       include 'COMMON.FFIELD'
5939       include 'COMMON.TORCNSTR'
5940       include 'COMMON.CONTROL'
5941       logical lprn
5942 C Set lprn=.true. for debugging
5943       lprn=.false.
5944 c     lprn=.true.
5945       etors=0.0D0
5946       do i=iphi_start,iphi_end
5947       etors_ii=0.0D0
5948         itori=itortyp(itype(i-2))
5949         itori1=itortyp(itype(i-1))
5950         phii=phi(i)
5951         gloci=0.0D0
5952 C Regular cosine and sine terms
5953         do j=1,nterm(itori,itori1)
5954           v1ij=v1(j,itori,itori1)
5955           v2ij=v2(j,itori,itori1)
5956           cosphi=dcos(j*phii)
5957           sinphi=dsin(j*phii)
5958           etors=etors+v1ij*cosphi+v2ij*sinphi
5959           if (energy_dec) etors_ii=etors_ii+
5960      &                v1ij*cosphi+v2ij*sinphi
5961           gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
5962         enddo
5963 C Lorentz terms
5964 C                         v1
5965 C  E = SUM ----------------------------------- - v1
5966 C          [v2 cos(phi/2)+v3 sin(phi/2)]^2 + 1
5967 C
5968         cosphi=dcos(0.5d0*phii)
5969         sinphi=dsin(0.5d0*phii)
5970         do j=1,nlor(itori,itori1)
5971           vl1ij=vlor1(j,itori,itori1)
5972           vl2ij=vlor2(j,itori,itori1)
5973           vl3ij=vlor3(j,itori,itori1)
5974           pom=vl2ij*cosphi+vl3ij*sinphi
5975           pom1=1.0d0/(pom*pom+1.0d0)
5976           etors=etors+vl1ij*pom1
5977           if (energy_dec) etors_ii=etors_ii+
5978      &                vl1ij*pom1
5979           pom=-pom*pom1*pom1
5980           gloci=gloci+vl1ij*(vl3ij*cosphi-vl2ij*sinphi)*pom
5981         enddo
5982 C Subtract the constant term
5983         etors=etors-v0(itori,itori1)
5984           if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5985      &         'etor',i,etors_ii-v0(itori,itori1)
5986         if (lprn)
5987      &  write (iout,'(2(a3,2x,i3,2x),2i3,6f8.3/26x,6f8.3/)')
5988      &  restyp(itype(i-2)),i-2,restyp(itype(i-1)),i-1,itori,itori1,
5989      &  (v1(j,itori,itori1),j=1,6),(v2(j,itori,itori1),j=1,6)
5990         gloc(i-3,icg)=gloc(i-3,icg)+wtor*gloci
5991 c       write (iout,*) 'i=',i,' gloc=',gloc(i-3,icg)
5992       enddo
5993 ! 6/20/98 - dihedral angle constraints
5994       edihcnstr=0.0d0
5995 c      do i=1,ndih_constr
5996       do i=idihconstr_start,idihconstr_end
5997         itori=idih_constr(i)
5998         phii=phi(itori)
5999         difi=pinorm(phii-phi0(i))
6000         if (difi.gt.drange(i)) then
6001           difi=difi-drange(i)
6002           edihcnstr=edihcnstr+0.25d0*ftors*difi**4
6003           gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
6004         else if (difi.lt.-drange(i)) then
6005           difi=difi+drange(i)
6006           edihcnstr=edihcnstr+0.25d0*ftors*difi**4
6007           gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
6008         else
6009           difi=0.0
6010         endif
6011 c        write (iout,*) "gloci", gloc(i-3,icg)
6012 cd        write (iout,'(2i5,4f8.3,2e14.5)') i,itori,rad2deg*phii,
6013 cd     &    rad2deg*phi0(i),  rad2deg*drange(i),
6014 cd     &    rad2deg*difi,0.25d0*ftors*difi**4,gloc(itori-3,icg)
6015       enddo
6016 cd       write (iout,*) 'edihcnstr',edihcnstr
6017       return
6018       end
6019 c----------------------------------------------------------------------------
6020 c MODELLER restraint function
6021       subroutine e_modeller(ehomology_constr)
6022       implicit real*8 (a-h,o-z)
6023       include 'DIMENSIONS'
6024
6025       integer nnn, i, j, k, ki, irec, l
6026       integer katy, odleglosci, test7
6027       real*8 odleg, odleg2, odleg3, kat, kat2, kat3, gdih(max_template)
6028       real*8 Eval,Erot
6029       real*8 distance(max_template),distancek(max_template),
6030      &    min_odl,godl(max_template),dih_diff(max_template)
6031
6032 c
6033 c     FP - 30/10/2014 Temporary specifications for homology restraints
6034 c
6035       double precision utheta_i,gutheta_i,sum_gtheta,sum_sgtheta,
6036      &                 sgtheta      
6037       double precision, dimension (maxres) :: guscdiff,usc_diff
6038       double precision, dimension (max_template) ::  
6039      &           gtheta,dscdiff,uscdiffk,guscdiff2,guscdiff3,
6040      &           theta_diff
6041 c
6042
6043       include 'COMMON.SBRIDGE'
6044       include 'COMMON.CHAIN'
6045       include 'COMMON.GEO'
6046       include 'COMMON.DERIV'
6047       include 'COMMON.LOCAL'
6048       include 'COMMON.INTERACT'
6049       include 'COMMON.VAR'
6050       include 'COMMON.IOUNITS'
6051       include 'COMMON.MD'
6052       include 'COMMON.CONTROL'
6053 c
6054 c     From subroutine Econstr_back
6055 c
6056       include 'COMMON.NAMES'
6057       include 'COMMON.TIME1'
6058 c
6059
6060
6061       do i=1,max_template
6062         distancek(i)=9999999.9
6063       enddo
6064
6065
6066       odleg=0.0d0
6067
6068 c Pseudo-energy and gradient from homology restraints (MODELLER-like
6069 c function)
6070 C AL 5/2/14 - Introduce list of restraints
6071 c     write(iout,*) "waga_theta",waga_theta,"waga_d",waga_d
6072 #ifdef DEBUG
6073       write(iout,*) "------- dist restrs start -------"
6074 #endif
6075       do ii = link_start_homo,link_end_homo
6076          i = ires_homo(ii)
6077          j = jres_homo(ii)
6078          dij=dist(i,j)
6079 c        write (iout,*) "dij(",i,j,") =",dij
6080          nexl=0
6081          do k=1,constr_homology
6082 c           write(iout,*) ii,k,i,j,l_homo(k,ii),dij,odl(k,ii)
6083            if(.not.l_homo(k,ii)) then
6084              nexl=nexl+1
6085              cycle
6086            endif
6087            distance(k)=odl(k,ii)-dij
6088 c          write (iout,*) "distance(",k,") =",distance(k)
6089 c
6090 c          For Gaussian-type Urestr
6091 c
6092            distancek(k)=0.5d0*distance(k)**2*sigma_odl(k,ii) ! waga_dist rmvd from Gaussian argument
6093 c          write (iout,*) "sigma_odl(",k,ii,") =",sigma_odl(k,ii)
6094 c          write (iout,*) "distancek(",k,") =",distancek(k)
6095 c          distancek(k)=0.5d0*waga_dist*distance(k)**2*sigma_odl(k,ii)
6096 c
6097 c          For Lorentzian-type Urestr
6098 c
6099            if (waga_dist.lt.0.0d0) then
6100               sigma_odlir(k,ii)=dsqrt(1/sigma_odl(k,ii))
6101               distancek(k)=distance(k)**2/(sigma_odlir(k,ii)*
6102      &                     (distance(k)**2+sigma_odlir(k,ii)**2))
6103            endif
6104          enddo
6105          
6106
6107 c         min_odl=minval(distancek)
6108          do kk=1,constr_homology
6109           if(l_homo(kk,ii)) then 
6110             min_odl=distancek(kk)
6111             exit
6112           endif
6113          enddo
6114          do kk=1,constr_homology
6115           if(l_homo(kk,ii) .and. distancek(kk).lt.min_odl) 
6116      &              min_odl=distancek(kk)
6117          enddo
6118 c        write (iout,* )"min_odl",min_odl
6119 #ifdef DEBUG
6120          write (iout,*) "ij dij",i,j,dij
6121          write (iout,*) "distance",(distance(k),k=1,constr_homology)
6122          write (iout,*) "distancek",(distancek(k),k=1,constr_homology)
6123          write (iout,* )"min_odl",min_odl
6124 #endif
6125 #ifdef OLDRESTR
6126          odleg2=0.0d0
6127 #else
6128          if (waga_dist.ge.0.0d0) then
6129            odleg2=nexl
6130          else 
6131            odleg2=0.0d0
6132          endif 
6133 #endif
6134          do k=1,constr_homology
6135 c Nie wiem po co to liczycie jeszcze raz!
6136 c            odleg3=-waga_dist(iset)*((distance(i,j,k)**2)/ 
6137 c     &              (2*(sigma_odl(i,j,k))**2))
6138            if(.not.l_homo(k,ii)) cycle
6139            if (waga_dist.ge.0.0d0) then
6140 c
6141 c          For Gaussian-type Urestr
6142 c
6143             godl(k)=dexp(-distancek(k)+min_odl)
6144             odleg2=odleg2+godl(k)
6145 c
6146 c          For Lorentzian-type Urestr
6147 c
6148            else
6149             odleg2=odleg2+distancek(k)
6150            endif
6151
6152 ccc       write(iout,779) i,j,k, "odleg2=",odleg2, "odleg3=", odleg3,
6153 ccc     & "dEXP(odleg3)=", dEXP(odleg3),"distance(i,j,k)^2=",
6154 ccc     & distance(i,j,k)**2, "dist(i+1,j+1)=", dist(i+1,j+1),
6155 ccc     & "sigma_odl(i,j,k)=", sigma_odl(i,j,k)
6156
6157          enddo
6158 c        write (iout,*) "godl",(godl(k),k=1,constr_homology) ! exponents
6159 c        write (iout,*) "ii i j",ii,i,j," odleg2",odleg2 ! sum of exps
6160 #ifdef DEBUG
6161          write (iout,*) "godl",(godl(k),k=1,constr_homology) ! exponents
6162          write (iout,*) "ii i j",ii,i,j," odleg2",odleg2 ! sum of exps
6163 #endif
6164            if (waga_dist.ge.0.0d0) then
6165 c
6166 c          For Gaussian-type Urestr
6167 c
6168               odleg=odleg-dLOG(odleg2/constr_homology)+min_odl
6169 c
6170 c          For Lorentzian-type Urestr
6171 c
6172            else
6173               odleg=odleg+odleg2/constr_homology
6174            endif
6175 c
6176 c        write (iout,*) "odleg",odleg ! sum of -ln-s
6177 c Gradient
6178 c
6179 c          For Gaussian-type Urestr
6180 c
6181          if (waga_dist.ge.0.0d0) sum_godl=odleg2
6182          sum_sgodl=0.0d0
6183          do k=1,constr_homology
6184 c            godl=dexp(((-(distance(i,j,k)**2)/(2*(sigma_odl(i,j,k))**2))
6185 c     &           *waga_dist)+min_odl
6186 c          sgodl=-godl(k)*distance(k)*sigma_odl(k,ii)*waga_dist
6187 c
6188          if(.not.l_homo(k,ii)) cycle
6189          if (waga_dist.ge.0.0d0) then
6190 c          For Gaussian-type Urestr
6191 c
6192            sgodl=-godl(k)*distance(k)*sigma_odl(k,ii) ! waga_dist rmvd
6193 c
6194 c          For Lorentzian-type Urestr
6195 c
6196          else
6197            sgodl=-2*sigma_odlir(k,ii)*(distance(k)/(distance(k)**2+
6198      &           sigma_odlir(k,ii)**2)**2)
6199          endif
6200            sum_sgodl=sum_sgodl+sgodl
6201
6202 c            sgodl2=sgodl2+sgodl
6203 c      write(iout,*) i, j, k, distance(i,j,k), "W GRADIENCIE1"
6204 c      write(iout,*) "constr_homology=",constr_homology
6205 c      write(iout,*) i, j, k, "TEST K"
6206          enddo
6207          if (waga_dist.ge.0.0d0) then
6208 c
6209 c          For Gaussian-type Urestr
6210 c
6211             grad_odl3=waga_homology(iset)*waga_dist
6212      &                *sum_sgodl/(sum_godl*dij)
6213 c
6214 c          For Lorentzian-type Urestr
6215 c
6216          else
6217 c Original grad expr modified by analogy w Gaussian-type Urestr grad
6218 c           grad_odl3=-waga_homology(iset)*waga_dist*sum_sgodl
6219             grad_odl3=-waga_homology(iset)*waga_dist*
6220      &                sum_sgodl/(constr_homology*dij)
6221          endif
6222 c
6223 c        grad_odl3=sum_sgodl/(sum_godl*dij)
6224
6225
6226 c      write(iout,*) i, j, k, distance(i,j,k), "W GRADIENCIE2"
6227 c      write(iout,*) (distance(i,j,k)**2), (2*(sigma_odl(i,j,k))**2),
6228 c     &              (-(distance(i,j,k)**2)/(2*(sigma_odl(i,j,k))**2))
6229
6230 ccc      write(iout,*) godl, sgodl, grad_odl3
6231
6232 c          grad_odl=grad_odl+grad_odl3
6233
6234          do jik=1,3
6235             ggodl=grad_odl3*(c(jik,i)-c(jik,j))
6236 ccc      write(iout,*) c(jik,i+1), c(jik,j+1), (c(jik,i+1)-c(jik,j+1))
6237 ccc      write(iout,746) "GRAD_ODL_1", i, j, jik, ggodl, 
6238 ccc     &              ghpbc(jik,i+1), ghpbc(jik,j+1)
6239             ghpbc(jik,i)=ghpbc(jik,i)+ggodl
6240             ghpbc(jik,j)=ghpbc(jik,j)-ggodl
6241 ccc      write(iout,746) "GRAD_ODL_2", i, j, jik, ggodl,
6242 ccc     &              ghpbc(jik,i+1), ghpbc(jik,j+1)
6243 c         if (i.eq.25.and.j.eq.27) then
6244 c         write(iout,*) "jik",jik,"i",i,"j",j
6245 c         write(iout,*) "sum_sgodl",sum_sgodl,"sgodl",sgodl
6246 c         write(iout,*) "grad_odl3",grad_odl3
6247 c         write(iout,*) "c(",jik,i,")",c(jik,i),"c(",jik,j,")",c(jik,j)
6248 c         write(iout,*) "ggodl",ggodl
6249 c         write(iout,*) "ghpbc(",jik,i,")",
6250 c     &                 ghpbc(jik,i),"ghpbc(",jik,j,")",
6251 c     &                 ghpbc(jik,j)   
6252 c         endif
6253          enddo
6254 ccc       write(iout,778)"TEST: odleg2=", odleg2, "DLOG(odleg2)=", 
6255 ccc     & dLOG(odleg2),"-odleg=", -odleg
6256
6257       enddo ! ii-loop for dist
6258 #ifdef DEBUG
6259       write(iout,*) "------- dist restrs end -------"
6260 c     if (waga_angle.eq.1.0d0 .or. waga_theta.eq.1.0d0 .or. 
6261 c    &     waga_d.eq.1.0d0) call sum_gradient
6262 #endif
6263 c Pseudo-energy and gradient from dihedral-angle restraints from
6264 c homology templates
6265 c      write (iout,*) "End of distance loop"
6266 c      call flush(iout)
6267       kat=0.0d0
6268 c      write (iout,*) idihconstr_start_homo,idihconstr_end_homo
6269 #ifdef DEBUG
6270       write(iout,*) "------- dih restrs start -------"
6271       do i=idihconstr_start_homo,idihconstr_end_homo
6272         write (iout,*) "gloc_init(",i,icg,")",gloc(i,icg)
6273       enddo
6274 #endif
6275       do i=idihconstr_start_homo,idihconstr_end_homo
6276 #ifdef OLDRESTR
6277         kat2=0.0d0
6278 #else
6279         kat2=nexl
6280 #endif
6281 c        betai=beta(i,i+1,i+2,i+3)
6282         betai = phi(i)
6283 c       write (iout,*) "betai =",betai
6284         do k=1,constr_homology
6285           dih_diff(k)=pinorm(dih(k,i)-betai)
6286 c         write (iout,*) "dih_diff(",k,") =",dih_diff(k)
6287 c          if (dih_diff(i,k).gt.3.14159) dih_diff(i,k)=
6288 c     &                                   -(6.28318-dih_diff(i,k))
6289 c          if (dih_diff(i,k).lt.-3.14159) dih_diff(i,k)=
6290 c     &                                   6.28318+dih_diff(i,k)
6291 #ifdef OLD_DIHED
6292           kat3=-0.5d0*dih_diff(k)**2*sigma_dih(k,i) ! waga_angle rmvd from Gaussian argument
6293 #else
6294           kat3=(dcos(dih_diff(k))-1)*sigma_dih(k,i) ! waga_angle rmvd from Gaussian argument
6295 #endif
6296 c         kat3=-0.5d0*waga_angle*dih_diff(k)**2*sigma_dih(k,i)
6297           gdih(k)=dexp(kat3)
6298           kat2=kat2+gdih(k)
6299 c          write(iout,*) "kat2=", kat2, "exp(kat3)=", exp(kat3)
6300 c          write(*,*)""
6301         enddo
6302 c       write (iout,*) "gdih",(gdih(k),k=1,constr_homology) ! exps
6303 c       write (iout,*) "i",i," betai",betai," kat2",kat2 ! sum of exps
6304 #ifdef DEBUG
6305         write (iout,*) "i",i," betai",betai," kat2",kat2
6306         write (iout,*) "gdih",(gdih(k),k=1,constr_homology)
6307 #endif
6308         if (kat2.le.1.0d-14) cycle
6309         kat=kat-dLOG(kat2/constr_homology)
6310 c       write (iout,*) "kat",kat ! sum of -ln-s
6311
6312 ccc       write(iout,778)"TEST: kat2=", kat2, "DLOG(kat2)=",
6313 ccc     & dLOG(kat2), "-kat=", -kat
6314
6315 c ----------------------------------------------------------------------
6316 c Gradient
6317 c ----------------------------------------------------------------------
6318
6319         sum_gdih=kat2
6320         sum_sgdih=0.0d0
6321         do k=1,constr_homology
6322 #ifdef OLD_DIHED
6323           sgdih=-gdih(k)*dih_diff(k)*sigma_dih(k,i)  ! waga_angle rmvd
6324 #else
6325           sgdih=-gdih(k)*dsin(dih_diff(k))*sigma_dih(k,i)  ! waga_angle rmvd
6326 #endif
6327 c         sgdih=-gdih(k)*dih_diff(k)*sigma_dih(k,i)*waga_angle
6328           sum_sgdih=sum_sgdih+sgdih
6329         enddo
6330 c       grad_dih3=sum_sgdih/sum_gdih
6331         grad_dih3=waga_homology(iset)*waga_angle*sum_sgdih/sum_gdih
6332
6333 c      write(iout,*)i,k,gdih,sgdih,beta(i+1,i+2,i+3,i+4),grad_dih3
6334 ccc      write(iout,747) "GRAD_KAT_1", i, nphi, icg, grad_dih3,
6335 ccc     & gloc(nphi+i-3,icg)
6336         gloc(i-3,icg)=gloc(i-3,icg)+grad_dih3
6337 c        if (i.eq.25) then
6338 c        write(iout,*) "i",i,"icg",icg,"gloc(",i,icg,")",gloc(i,icg)
6339 c        endif
6340 ccc      write(iout,747) "GRAD_KAT_2", i, nphi, icg, grad_dih3,
6341 ccc     & gloc(nphi+i-3,icg)
6342
6343       enddo ! i-loop for dih
6344 #ifdef DEBUG
6345       write(iout,*) "------- dih restrs end -------"
6346 #endif
6347
6348 c Pseudo-energy and gradient for theta angle restraints from
6349 c homology templates
6350 c FP 01/15 - inserted from econstr_local_test.F, loop structure
6351 c adapted
6352
6353 c
6354 c     For constr_homology reference structures (FP)
6355 c     
6356 c     Uconst_back_tot=0.0d0
6357       Eval=0.0d0
6358       Erot=0.0d0
6359 c     Econstr_back legacy
6360       do i=1,nres
6361 c     do i=ithet_start,ithet_end
6362        dutheta(i)=0.0d0
6363 c     enddo
6364 c     do i=loc_start,loc_end
6365         do j=1,3
6366           duscdiff(j,i)=0.0d0
6367           duscdiffx(j,i)=0.0d0
6368         enddo
6369       enddo
6370 c
6371 c     do iref=1,nref
6372 c     write (iout,*) "ithet_start =",ithet_start,"ithet_end =",ithet_end
6373 c     write (iout,*) "waga_theta",waga_theta
6374       if (waga_theta.gt.0.0d0) then
6375 #ifdef DEBUG
6376       write (iout,*) "usampl",usampl
6377       write(iout,*) "------- theta restrs start -------"
6378 c     do i=ithet_start,ithet_end
6379 c       write (iout,*) "gloc_init(",nphi+i,icg,")",gloc(nphi+i,icg)
6380 c     enddo
6381 #endif
6382 c     write (iout,*) "maxres",maxres,"nres",nres
6383
6384       do i=ithet_start,ithet_end
6385 c
6386 c     do i=1,nfrag_back
6387 c       ii = ifrag_back(2,i,iset)-ifrag_back(1,i,iset)
6388 c
6389 c Deviation of theta angles wrt constr_homology ref structures
6390 c
6391         utheta_i=0.0d0 ! argument of Gaussian for single k
6392 #ifdef OLDRESTR
6393         gutheta_i=0.0d0 ! Sum of Gaussians over constr_homology ref structures
6394 #else
6395         gutheta_i=nexl
6396 #endif
6397 c       do j=ifrag_back(1,i,iset)+2,ifrag_back(2,i,iset) ! original loop
6398 c       over residues in a fragment
6399 c       write (iout,*) "theta(",i,")=",theta(i)
6400         do k=1,constr_homology
6401 c
6402 c         dtheta_i=theta(j)-thetaref(j,iref)
6403 c         dtheta_i=thetaref(k,i)-theta(i) ! original form without indexing
6404           theta_diff(k)=thetatpl(k,i)-theta(i)
6405 c
6406           utheta_i=-0.5d0*theta_diff(k)**2*sigma_theta(k,i) ! waga_theta rmvd from Gaussian argument
6407 c         utheta_i=-0.5d0*waga_theta*theta_diff(k)**2*sigma_theta(k,i) ! waga_theta?
6408           gtheta(k)=dexp(utheta_i) ! + min_utheta_i?
6409           gutheta_i=gutheta_i+gtheta(k)  ! Sum of Gaussians (pk)
6410 c         Gradient for single Gaussian restraint in subr Econstr_back
6411 c         dutheta(j-2)=dutheta(j-2)+wfrag_back(1,i,iset)*dtheta_i/(ii-1)
6412 c
6413         enddo
6414 c       write (iout,*) "gtheta",(gtheta(k),k=1,constr_homology) ! exps
6415 c       write (iout,*) "i",i," gutheta_i",gutheta_i ! sum of exps
6416
6417 c
6418 c         Gradient for multiple Gaussian restraint
6419         sum_gtheta=gutheta_i
6420         sum_sgtheta=0.0d0
6421         do k=1,constr_homology
6422 c        New generalized expr for multiple Gaussian from Econstr_back
6423          sgtheta=-gtheta(k)*theta_diff(k)*sigma_theta(k,i) ! waga_theta rmvd
6424 c
6425 c        sgtheta=-gtheta(k)*theta_diff(k)*sigma_theta(k,i)*waga_theta ! right functional form?
6426           sum_sgtheta=sum_sgtheta+sgtheta ! cum variable
6427         enddo
6428 c       Final value of gradient using same var as in Econstr_back
6429         gloc(nphi+i-2,icg)=gloc(nphi+i-2,icg)
6430      &      +sum_sgtheta/sum_gtheta*waga_theta
6431      &               *waga_homology(iset)
6432 c        dutheta(i-2)=sum_sgtheta/sum_gtheta*waga_theta
6433 c     &               *waga_homology(iset)
6434 c       dutheta(i)=sum_sgtheta/sum_gtheta
6435 c
6436 c       Uconst_back=Uconst_back+waga_theta*utheta(i) ! waga_theta added as weight
6437         Eval=Eval-dLOG(gutheta_i/constr_homology)
6438 c       write (iout,*) "utheta(",i,")=",utheta(i) ! -ln of sum of exps
6439 c       write (iout,*) "Uconst_back",Uconst_back ! sum of -ln-s
6440 c       Uconst_back=Uconst_back+utheta(i)
6441       enddo ! (i-loop for theta)
6442 #ifdef DEBUG
6443       write(iout,*) "------- theta restrs end -------"
6444 #endif
6445       endif
6446 c
6447 c Deviation of local SC geometry
6448 c
6449 c Separation of two i-loops (instructed by AL - 11/3/2014)
6450 c
6451 c     write (iout,*) "loc_start =",loc_start,"loc_end =",loc_end
6452 c     write (iout,*) "waga_d",waga_d
6453
6454 #ifdef DEBUG
6455       write(iout,*) "------- SC restrs start -------"
6456       write (iout,*) "Initial duscdiff,duscdiffx"
6457       do i=loc_start,loc_end
6458         write (iout,*) i,(duscdiff(jik,i),jik=1,3),
6459      &                 (duscdiffx(jik,i),jik=1,3)
6460       enddo
6461 #endif
6462       do i=loc_start,loc_end
6463         usc_diff_i=0.0d0 ! argument of Gaussian for single k
6464 #ifdef OLDRESTR
6465         guscdiff(i)=0.0d0 ! Sum of Gaussians over constr_homology ref structures
6466 #else
6467         guscdiff(i)=nexl
6468 #endif
6469 c       do j=ifrag_back(1,i,iset)+1,ifrag_back(2,i,iset)-1 ! Econstr_back legacy
6470 c       write(iout,*) "xxtab, yytab, zztab"
6471 c       write(iout,'(i5,3f8.2)') i,xxtab(i),yytab(i),zztab(i)
6472         do k=1,constr_homology
6473 c
6474           dxx=-xxtpl(k,i)+xxtab(i) ! Diff b/w x component of ith SC vector in model and kth ref str?
6475 c                                    Original sign inverted for calc of gradients (s. Econstr_back)
6476           dyy=-yytpl(k,i)+yytab(i) ! ibid y
6477           dzz=-zztpl(k,i)+zztab(i) ! ibid z
6478 c         write(iout,*) "dxx, dyy, dzz"
6479 c         write(iout,'(2i5,3f8.2)') k,i,dxx,dyy,dzz
6480 c
6481           usc_diff_i=-0.5d0*(dxx**2+dyy**2+dzz**2)*sigma_d(k,i)  ! waga_d rmvd from Gaussian argument
6482 c         usc_diff(i)=-0.5d0*waga_d*(dxx**2+dyy**2+dzz**2)*sigma_d(k,i) ! waga_d?
6483 c         uscdiffk(k)=usc_diff(i)
6484           guscdiff2(k)=dexp(usc_diff_i) ! without min_scdiff
6485           guscdiff(i)=guscdiff(i)+guscdiff2(k)  !Sum of Gaussians (pk)
6486 c          write (iout,'(i5,6f10.5)') j,xxtab(j),yytab(j),zztab(j),
6487 c     &      xxref(j),yyref(j),zzref(j)
6488         enddo
6489 c
6490 c       Gradient 
6491 c
6492 c       Generalized expression for multiple Gaussian acc to that for a single 
6493 c       Gaussian in Econstr_back as instructed by AL (FP - 03/11/2014)
6494 c
6495 c       Original implementation
6496 c       sum_guscdiff=guscdiff(i)
6497 c
6498 c       sum_sguscdiff=0.0d0
6499 c       do k=1,constr_homology
6500 c          sguscdiff=-guscdiff2(k)*dscdiff(k)*sigma_d(k,i)*waga_d !waga_d? 
6501 c          sguscdiff=-guscdiff3(k)*dscdiff(k)*sigma_d(k,i)*waga_d ! w min_uscdiff
6502 c          sum_sguscdiff=sum_sguscdiff+sguscdiff
6503 c       enddo
6504 c
6505 c       Implementation of new expressions for gradient (Jan. 2015)
6506 c
6507 c       grad_uscdiff=sum_sguscdiff/(sum_guscdiff*dtab) !?
6508         do k=1,constr_homology 
6509 c
6510 c       New calculation of dxx, dyy, and dzz corrected by AL (07/11), was missing and wrong
6511 c       before. Now the drivatives should be correct
6512 c
6513           dxx=-xxtpl(k,i)+xxtab(i) ! Diff b/w x component of ith SC vector in model and kth ref str?
6514 c                                  Original sign inverted for calc of gradients (s. Econstr_back)
6515           dyy=-yytpl(k,i)+yytab(i) ! ibid y
6516           dzz=-zztpl(k,i)+zztab(i) ! ibid z
6517 c
6518 c         New implementation
6519 c
6520           sum_guscdiff=guscdiff2(k)*!(dsqrt(dxx*dxx+dyy*dyy+dzz*dzz))* -> wrong!
6521      &                 sigma_d(k,i) ! for the grad wrt r' 
6522 c         sum_sguscdiff=sum_sguscdiff+sum_guscdiff
6523 c
6524 c
6525 c        New implementation
6526          sum_guscdiff = waga_homology(iset)*waga_d*sum_guscdiff
6527          do jik=1,3
6528             duscdiff(jik,i-1)=duscdiff(jik,i-1)+
6529      &      sum_guscdiff*(dXX_C1tab(jik,i)*dxx+
6530      &      dYY_C1tab(jik,i)*dyy+dZZ_C1tab(jik,i)*dzz)/guscdiff(i)
6531             duscdiff(jik,i)=duscdiff(jik,i)+
6532      &      sum_guscdiff*(dXX_Ctab(jik,i)*dxx+
6533      &      dYY_Ctab(jik,i)*dyy+dZZ_Ctab(jik,i)*dzz)/guscdiff(i)
6534             duscdiffx(jik,i)=duscdiffx(jik,i)+
6535      &      sum_guscdiff*(dXX_XYZtab(jik,i)*dxx+
6536      &      dYY_XYZtab(jik,i)*dyy+dZZ_XYZtab(jik,i)*dzz)/guscdiff(i)
6537 c
6538 #ifdef DEBUG
6539              write(iout,*) "jik",jik,"i",i
6540              write(iout,*) "dxx, dyy, dzz"
6541              write(iout,'(2i5,3f8.2)') k,i,dxx,dyy,dzz
6542              write(iout,*) "guscdiff2(",k,")",guscdiff2(k)
6543 c            write(iout,*) "sum_sguscdiff",sum_sguscdiff
6544 cc           write(iout,*) "dXX_Ctab(",jik,i,")",dXX_Ctab(jik,i)
6545 c            write(iout,*) "dYY_Ctab(",jik,i,")",dYY_Ctab(jik,i)
6546 c            write(iout,*) "dZZ_Ctab(",jik,i,")",dZZ_Ctab(jik,i)
6547 c            write(iout,*) "dXX_C1tab(",jik,i,")",dXX_C1tab(jik,i)
6548 c            write(iout,*) "dYY_C1tab(",jik,i,")",dYY_C1tab(jik,i)
6549 c            write(iout,*) "dZZ_C1tab(",jik,i,")",dZZ_C1tab(jik,i)
6550 c            write(iout,*) "dXX_XYZtab(",jik,i,")",dXX_XYZtab(jik,i)
6551 c            write(iout,*) "dYY_XYZtab(",jik,i,")",dYY_XYZtab(jik,i)
6552 c            write(iout,*) "dZZ_XYZtab(",jik,i,")",dZZ_XYZtab(jik,i)
6553 c            write(iout,*) "duscdiff(",jik,i-1,")",duscdiff(jik,i-1)
6554 c            write(iout,*) "duscdiff(",jik,i,")",duscdiff(jik,i)
6555 c            write(iout,*) "duscdiffx(",jik,i,")",duscdiffx(jik,i)
6556 c            endif
6557 #endif
6558          enddo
6559         enddo
6560 c
6561 c       uscdiff(i)=-dLOG(guscdiff(i)/(ii-1))      ! Weighting by (ii-1) required?
6562 c        usc_diff(i)=-dLOG(guscdiff(i)/constr_homology) ! + min_uscdiff ?
6563 c
6564 c        write (iout,*) i," uscdiff",uscdiff(i)
6565 c
6566 c Put together deviations from local geometry
6567
6568 c       Uconst_back=Uconst_back+wfrag_back(1,i,iset)*utheta(i)+
6569 c      &            wfrag_back(3,i,iset)*uscdiff(i)
6570         Erot=Erot-dLOG(guscdiff(i)/constr_homology)
6571 c       write (iout,*) "usc_diff(",i,")=",usc_diff(i) ! -ln of sum of exps
6572 c       write (iout,*) "Uconst_back",Uconst_back ! cum sum of -ln-s
6573 c       Uconst_back=Uconst_back+usc_diff(i)
6574 c
6575 c     Gradient of multiple Gaussian restraint (FP - 04/11/2014 - right?)
6576 c
6577 c     New implment: multiplied by sum_sguscdiff
6578 c
6579
6580       enddo ! (i-loop for dscdiff)
6581
6582 c      endif
6583
6584 #ifdef DEBUG
6585       write(iout,*) "------- SC restrs end -------"
6586         write (iout,*) "------ After SC loop in e_modeller ------"
6587         do i=loc_start,loc_end
6588          write (iout,*) "i",i," gradc",(gradc(j,i,icg),j=1,3)
6589          write (iout,*) "i",i," gradx",(gradx(j,i,icg),j=1,3)
6590         enddo
6591       if (waga_theta.eq.1.0d0) then
6592       write (iout,*) "in e_modeller after SC restr end: dutheta"
6593       do i=ithet_start,ithet_end
6594         write (iout,*) i,dutheta(i)
6595       enddo
6596       endif
6597       if (waga_d.eq.1.0d0) then
6598       write (iout,*) "e_modeller after SC loop: duscdiff/x"
6599       do i=1,nres
6600         write (iout,*) i,(duscdiff(j,i),j=1,3)
6601         write (iout,*) i,(duscdiffx(j,i),j=1,3)
6602       enddo
6603       endif
6604 #endif
6605
6606 c Total energy from homology restraints
6607 #ifdef DEBUG
6608       write (iout,*) "odleg",odleg," kat",kat
6609 #endif
6610 c
6611 c Addition of energy of theta angle and SC local geom over constr_homologs ref strs
6612 c
6613 c     ehomology_constr=odleg+kat
6614 c
6615 c     For Lorentzian-type Urestr
6616 c
6617
6618       if (waga_dist.ge.0.0d0) then
6619 c
6620 c          For Gaussian-type Urestr
6621 c
6622         ehomology_constr=(waga_dist*odleg+waga_angle*kat+
6623      &              waga_theta*Eval+waga_d*Erot)*waga_homology(iset)
6624 c     write (iout,*) "ehomology_constr=",ehomology_constr
6625       else
6626 c
6627 c          For Lorentzian-type Urestr
6628 c  
6629         ehomology_constr=(-waga_dist*odleg+waga_angle*kat+
6630      &              waga_theta*Eval+waga_d*Erot)*waga_homology(iset)
6631 c     write (iout,*) "ehomology_constr=",ehomology_constr
6632       endif
6633 #ifdef DEBUG
6634       write (iout,*) "odleg",waga_dist,odleg," kat",waga_angle,kat,
6635      & "Eval",waga_theta,eval,
6636      &   "Erot",waga_d,Erot
6637       write (iout,*) "ehomology_constr",ehomology_constr
6638 #endif
6639       return
6640 c
6641 c FP 01/15 end
6642 c
6643   748 format(a8,f12.3,a6,f12.3,a7,f12.3)
6644   747 format(a12,i4,i4,i4,f8.3,f8.3)
6645   746 format(a12,i4,i4,i4,f8.3,f8.3,f8.3)
6646   778 format(a7,1X,f10.3,1X,a4,1X,f10.3,1X,a5,1X,f10.3)
6647   779 format(i3,1X,i3,1X,i2,1X,a7,1X,f7.3,1X,a7,1X,f7.3,1X,a13,1X,
6648      &       f7.3,1X,a17,1X,f9.3,1X,a10,1X,f8.3,1X,a10,1X,f8.3)
6649       end
6650
6651 c------------------------------------------------------------------------------
6652       subroutine etor_d(etors_d)
6653 C 6/23/01 Compute double torsional energy
6654       implicit real*8 (a-h,o-z)
6655       include 'DIMENSIONS'
6656       include 'COMMON.VAR'
6657       include 'COMMON.GEO'
6658       include 'COMMON.LOCAL'
6659       include 'COMMON.TORSION'
6660       include 'COMMON.INTERACT'
6661       include 'COMMON.DERIV'
6662       include 'COMMON.CHAIN'
6663       include 'COMMON.NAMES'
6664       include 'COMMON.IOUNITS'
6665       include 'COMMON.FFIELD'
6666       include 'COMMON.TORCNSTR'
6667       include 'COMMON.CONTROL'
6668       logical lprn
6669 C Set lprn=.true. for debugging
6670       lprn=.false.
6671 c     lprn=.true.
6672       etors_d=0.0D0
6673       do i=iphid_start,iphid_end
6674         etors_d_ii=0.0D0
6675         itori=itortyp(itype(i-2))
6676         itori1=itortyp(itype(i-1))
6677         itori2=itortyp(itype(i))
6678         phii=phi(i)
6679         phii1=phi(i+1)
6680         gloci1=0.0D0
6681         gloci2=0.0D0
6682         do j=1,ntermd_1(itori,itori1,itori2)
6683           v1cij=v1c(1,j,itori,itori1,itori2)
6684           v1sij=v1s(1,j,itori,itori1,itori2)
6685           v2cij=v1c(2,j,itori,itori1,itori2)
6686           v2sij=v1s(2,j,itori,itori1,itori2)
6687           cosphi1=dcos(j*phii)
6688           sinphi1=dsin(j*phii)
6689           cosphi2=dcos(j*phii1)
6690           sinphi2=dsin(j*phii1)
6691           etors_d=etors_d+v1cij*cosphi1+v1sij*sinphi1+
6692      &     v2cij*cosphi2+v2sij*sinphi2
6693           if (energy_dec) etors_d_ii=etors_d_ii+
6694      &     v1cij*cosphi1+v1sij*sinphi1+v2cij*cosphi2+v2sij*sinphi2
6695           gloci1=gloci1+j*(v1sij*cosphi1-v1cij*sinphi1)
6696           gloci2=gloci2+j*(v2sij*cosphi2-v2cij*sinphi2)
6697         enddo
6698         do k=2,ntermd_2(itori,itori1,itori2)
6699           do l=1,k-1
6700             v1cdij = v2c(k,l,itori,itori1,itori2)
6701             v2cdij = v2c(l,k,itori,itori1,itori2)
6702             v1sdij = v2s(k,l,itori,itori1,itori2)
6703             v2sdij = v2s(l,k,itori,itori1,itori2)
6704             cosphi1p2=dcos(l*phii+(k-l)*phii1)
6705             cosphi1m2=dcos(l*phii-(k-l)*phii1)
6706             sinphi1p2=dsin(l*phii+(k-l)*phii1)
6707             sinphi1m2=dsin(l*phii-(k-l)*phii1)
6708             etors_d=etors_d+v1cdij*cosphi1p2+v2cdij*cosphi1m2+
6709      &        v1sdij*sinphi1p2+v2sdij*sinphi1m2
6710             if (energy_dec) etors_d_ii=etors_d_ii+
6711      &        v1cdij*cosphi1p2+v2cdij*cosphi1m2+
6712      &        v1sdij*sinphi1p2+v2sdij*sinphi1m2
6713             gloci1=gloci1+l*(v1sdij*cosphi1p2+v2sdij*cosphi1m2
6714      &        -v1cdij*sinphi1p2-v2cdij*sinphi1m2)
6715             gloci2=gloci2+(k-l)*(v1sdij*cosphi1p2-v2sdij*cosphi1m2
6716      &        -v1cdij*sinphi1p2+v2cdij*sinphi1m2) 
6717           enddo
6718         enddo
6719         if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
6720      &        'etor_d',i,etors_d_ii
6721         gloc(i-3,icg)=gloc(i-3,icg)+wtor_d*gloci1
6722         gloc(i-2,icg)=gloc(i-2,icg)+wtor_d*gloci2
6723 c        write (iout,*) "gloci", gloc(i-3,icg)
6724       enddo
6725       return
6726       end
6727 #endif
6728 c------------------------------------------------------------------------------
6729       subroutine eback_sc_corr(esccor)
6730 c 7/21/2007 Correlations between the backbone-local and side-chain-local
6731 c        conformational states; temporarily implemented as differences
6732 c        between UNRES torsional potentials (dependent on three types of
6733 c        residues) and the torsional potentials dependent on all 20 types
6734 c        of residues computed from AM1  energy surfaces of terminally-blocked
6735 c        amino-acid residues.
6736       implicit real*8 (a-h,o-z)
6737       include 'DIMENSIONS'
6738       include 'COMMON.VAR'
6739       include 'COMMON.GEO'
6740       include 'COMMON.LOCAL'
6741       include 'COMMON.TORSION'
6742       include 'COMMON.SCCOR'
6743       include 'COMMON.INTERACT'
6744       include 'COMMON.DERIV'
6745       include 'COMMON.CHAIN'
6746       include 'COMMON.NAMES'
6747       include 'COMMON.IOUNITS'
6748       include 'COMMON.FFIELD'
6749       include 'COMMON.CONTROL'
6750       logical lprn
6751 C Set lprn=.true. for debugging
6752       lprn=.false.
6753 c      lprn=.true.
6754 c      write (iout,*) "EBACK_SC_COR",iphi_start,iphi_end,nterm_sccor
6755       esccor=0.0D0
6756       do i=itau_start,itau_end
6757         esccor_ii=0.0D0
6758         if ((itype(i-2).eq.ntyp1).or.(itype(i-1).eq.ntyp1)) cycle
6759         isccori=isccortyp(itype(i-2))
6760         isccori1=isccortyp(itype(i-1))
6761         phii=phi(i)
6762 cccc  Added 9 May 2012
6763 cc Tauangle is torsional engle depending on the value of first digit 
6764 c(see comment below)
6765 cc Omicron is flat angle depending on the value of first digit 
6766 c(see comment below)
6767
6768         
6769         do intertyp=1,3 !intertyp
6770 cc Added 09 May 2012 (Adasko)
6771 cc  Intertyp means interaction type of backbone mainchain correlation: 
6772 c   1 = SC...Ca...Ca...Ca
6773 c   2 = Ca...Ca...Ca...SC
6774 c   3 = SC...Ca...Ca...SCi
6775         gloci=0.0D0
6776         if (((intertyp.eq.3).and.((itype(i-2).eq.10).or.
6777      &      (itype(i-1).eq.10).or.(itype(i-2).eq.21).or.
6778      &      (itype(i-1).eq.21)))
6779      &    .or. ((intertyp.eq.1).and.((itype(i-2).eq.10)
6780      &     .or.(itype(i-2).eq.21)))
6781      &    .or.((intertyp.eq.2).and.((itype(i-1).eq.10).or.
6782      &      (itype(i-1).eq.21)))) cycle  
6783         if ((intertyp.eq.2).and.(i.eq.4).and.(itype(1).eq.21)) cycle
6784         if ((intertyp.eq.1).and.(i.eq.nres).and.(itype(nres).eq.21))
6785      & cycle
6786         do j=1,nterm_sccor(isccori,isccori1)
6787           v1ij=v1sccor(j,intertyp,isccori,isccori1)
6788           v2ij=v2sccor(j,intertyp,isccori,isccori1)
6789           cosphi=dcos(j*tauangle(intertyp,i))
6790           sinphi=dsin(j*tauangle(intertyp,i))
6791           esccor=esccor+v1ij*cosphi+v2ij*sinphi
6792           gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
6793         enddo
6794         gloc_sc(intertyp,i-3,icg)=gloc_sc(intertyp,i-3,icg)+wsccor*gloci
6795 c        write (iout,*) "WTF",intertyp,i,itype(i),v1ij*cosphi+v2ij*sinphi
6796 c     &gloc_sc(intertyp,i-3,icg)
6797         if (lprn)
6798      &  write (iout,'(2(a3,2x,i3,2x),2i3,6f8.3/26x,6f8.3/)')
6799      &  restyp(itype(i-2)),i-2,restyp(itype(i-1)),i-1,itori,itori1,
6800      &  (v1sccor(j,intertyp,itori,itori1),j=1,6)
6801      & ,(v2sccor(j,intertyp,itori,itori1),j=1,6)
6802         gsccor_loc(i-3)=gsccor_loc(i-3)+gloci
6803        enddo !intertyp
6804       enddo
6805 c        do i=1,nres
6806 c        write (iout,*) "W@T@F",  gloc_sc(1,i,icg),gloc(i,icg)
6807 c        enddo
6808       return
6809       end
6810 c----------------------------------------------------------------------------
6811       subroutine multibody(ecorr)
6812 C This subroutine calculates multi-body contributions to energy following
6813 C the idea of Skolnick et al. If side chains I and J make a contact and
6814 C at the same time side chains I+1 and J+1 make a contact, an extra 
6815 C contribution equal to sqrt(eps(i,j)*eps(i+1,j+1)) is added.
6816       implicit real*8 (a-h,o-z)
6817       include 'DIMENSIONS'
6818       include 'COMMON.IOUNITS'
6819       include 'COMMON.DERIV'
6820       include 'COMMON.INTERACT'
6821       include 'COMMON.CONTACTS'
6822       double precision gx(3),gx1(3)
6823       logical lprn
6824
6825 C Set lprn=.true. for debugging
6826       lprn=.false.
6827
6828       if (lprn) then
6829         write (iout,'(a)') 'Contact function values:'
6830         do i=nnt,nct-2
6831           write (iout,'(i2,20(1x,i2,f10.5))') 
6832      &        i,(jcont(j,i),facont(j,i),j=1,num_cont(i))
6833         enddo
6834       endif
6835       ecorr=0.0D0
6836       do i=nnt,nct
6837         do j=1,3
6838           gradcorr(j,i)=0.0D0
6839           gradxorr(j,i)=0.0D0
6840         enddo
6841       enddo
6842       do i=nnt,nct-2
6843
6844         DO ISHIFT = 3,4
6845
6846         i1=i+ishift
6847         num_conti=num_cont(i)
6848         num_conti1=num_cont(i1)
6849         do jj=1,num_conti
6850           j=jcont(jj,i)
6851           do kk=1,num_conti1
6852             j1=jcont(kk,i1)
6853             if (j1.eq.j+ishift .or. j1.eq.j-ishift) then
6854 cd          write(iout,*)'i=',i,' j=',j,' i1=',i1,' j1=',j1,
6855 cd   &                   ' ishift=',ishift
6856 C Contacts I--J and I+ISHIFT--J+-ISHIFT1 occur simultaneously. 
6857 C The system gains extra energy.
6858               ecorr=ecorr+esccorr(i,j,i1,j1,jj,kk)
6859             endif   ! j1==j+-ishift
6860           enddo     ! kk  
6861         enddo       ! jj
6862
6863         ENDDO ! ISHIFT
6864
6865       enddo         ! i
6866       return
6867       end
6868 c------------------------------------------------------------------------------
6869       double precision function esccorr(i,j,k,l,jj,kk)
6870       implicit real*8 (a-h,o-z)
6871       include 'DIMENSIONS'
6872       include 'COMMON.IOUNITS'
6873       include 'COMMON.DERIV'
6874       include 'COMMON.INTERACT'
6875       include 'COMMON.CONTACTS'
6876       double precision gx(3),gx1(3)
6877       logical lprn
6878       lprn=.false.
6879       eij=facont(jj,i)
6880       ekl=facont(kk,k)
6881 cd    write (iout,'(4i5,3f10.5)') i,j,k,l,eij,ekl,-eij*ekl
6882 C Calculate the multi-body contribution to energy.
6883 C Calculate multi-body contributions to the gradient.
6884 cd    write (iout,'(2(2i3,3f10.5))')i,j,(gacont(m,jj,i),m=1,3),
6885 cd   & k,l,(gacont(m,kk,k),m=1,3)
6886       do m=1,3
6887         gx(m) =ekl*gacont(m,jj,i)
6888         gx1(m)=eij*gacont(m,kk,k)
6889         gradxorr(m,i)=gradxorr(m,i)-gx(m)
6890         gradxorr(m,j)=gradxorr(m,j)+gx(m)
6891         gradxorr(m,k)=gradxorr(m,k)-gx1(m)
6892         gradxorr(m,l)=gradxorr(m,l)+gx1(m)
6893       enddo
6894       do m=i,j-1
6895         do ll=1,3
6896           gradcorr(ll,m)=gradcorr(ll,m)+gx(ll)
6897         enddo
6898       enddo
6899       do m=k,l-1
6900         do ll=1,3
6901           gradcorr(ll,m)=gradcorr(ll,m)+gx1(ll)
6902         enddo
6903       enddo 
6904       esccorr=-eij*ekl
6905       return
6906       end
6907 c------------------------------------------------------------------------------
6908       subroutine multibody_hb(ecorr,ecorr5,ecorr6,n_corr,n_corr1)
6909 C This subroutine calculates multi-body contributions to hydrogen-bonding 
6910       implicit real*8 (a-h,o-z)
6911       include 'DIMENSIONS'
6912       include 'COMMON.IOUNITS'
6913 #ifdef MPI
6914       include "mpif.h"
6915       parameter (max_cont=maxconts)
6916       parameter (max_dim=26)
6917       integer source,CorrelType,CorrelID,CorrelType1,CorrelID1,Error
6918       double precision zapas(max_dim,maxconts,max_fg_procs),
6919      &  zapas_recv(max_dim,maxconts,max_fg_procs)
6920       common /przechowalnia/ zapas
6921       integer status(MPI_STATUS_SIZE),req(maxconts*2),
6922      &  status_array(MPI_STATUS_SIZE,maxconts*2)
6923 #endif
6924       include 'COMMON.SETUP'
6925       include 'COMMON.FFIELD'
6926       include 'COMMON.DERIV'
6927       include 'COMMON.INTERACT'
6928       include 'COMMON.CONTACTS'
6929       include 'COMMON.CONTROL'
6930       include 'COMMON.LOCAL'
6931       double precision gx(3),gx1(3),time00
6932       logical lprn,ldone
6933
6934 C Set lprn=.true. for debugging
6935       lprn=.false.
6936 #ifdef MPI
6937       n_corr=0
6938       n_corr1=0
6939       if (nfgtasks.le.1) goto 30
6940       if (lprn) then
6941         write (iout,'(a)') 'Contact function values before RECEIVE:'
6942         do i=nnt,nct-2
6943           write (iout,'(2i3,50(1x,i2,f5.2))') 
6944      &    i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
6945      &    j=1,num_cont_hb(i))
6946         enddo
6947       endif
6948       call flush(iout)
6949       do i=1,ntask_cont_from
6950         ncont_recv(i)=0
6951       enddo
6952       do i=1,ntask_cont_to
6953         ncont_sent(i)=0
6954       enddo
6955 c      write (iout,*) "ntask_cont_from",ntask_cont_from," ntask_cont_to",
6956 c     & ntask_cont_to
6957 C Make the list of contacts to send to send to other procesors
6958 c      write (iout,*) "limits",max0(iturn4_end-1,iatel_s),iturn3_end
6959 c      call flush(iout)
6960       do i=iturn3_start,iturn3_end
6961 c        write (iout,*) "make contact list turn3",i," num_cont",
6962 c     &    num_cont_hb(i)
6963         call add_hb_contact(i,i+2,iturn3_sent_local(1,i))
6964       enddo
6965       do i=iturn4_start,iturn4_end
6966 c        write (iout,*) "make contact list turn4",i," num_cont",
6967 c     &   num_cont_hb(i)
6968         call add_hb_contact(i,i+3,iturn4_sent_local(1,i))
6969       enddo
6970       do ii=1,nat_sent
6971         i=iat_sent(ii)
6972 c        write (iout,*) "make contact list longrange",i,ii," num_cont",
6973 c     &    num_cont_hb(i)
6974         do j=1,num_cont_hb(i)
6975         do k=1,4
6976           jjc=jcont_hb(j,i)
6977           iproc=iint_sent_local(k,jjc,ii)
6978 c          write (iout,*) "i",i," j",j," k",k," jjc",jjc," iproc",iproc
6979           if (iproc.gt.0) then
6980             ncont_sent(iproc)=ncont_sent(iproc)+1
6981             nn=ncont_sent(iproc)
6982             zapas(1,nn,iproc)=i
6983             zapas(2,nn,iproc)=jjc
6984             zapas(3,nn,iproc)=facont_hb(j,i)
6985             zapas(4,nn,iproc)=ees0p(j,i)
6986             zapas(5,nn,iproc)=ees0m(j,i)
6987             zapas(6,nn,iproc)=gacont_hbr(1,j,i)
6988             zapas(7,nn,iproc)=gacont_hbr(2,j,i)
6989             zapas(8,nn,iproc)=gacont_hbr(3,j,i)
6990             zapas(9,nn,iproc)=gacontm_hb1(1,j,i)
6991             zapas(10,nn,iproc)=gacontm_hb1(2,j,i)
6992             zapas(11,nn,iproc)=gacontm_hb1(3,j,i)
6993             zapas(12,nn,iproc)=gacontp_hb1(1,j,i)
6994             zapas(13,nn,iproc)=gacontp_hb1(2,j,i)
6995             zapas(14,nn,iproc)=gacontp_hb1(3,j,i)
6996             zapas(15,nn,iproc)=gacontm_hb2(1,j,i)
6997             zapas(16,nn,iproc)=gacontm_hb2(2,j,i)
6998             zapas(17,nn,iproc)=gacontm_hb2(3,j,i)
6999             zapas(18,nn,iproc)=gacontp_hb2(1,j,i)
7000             zapas(19,nn,iproc)=gacontp_hb2(2,j,i)
7001             zapas(20,nn,iproc)=gacontp_hb2(3,j,i)
7002             zapas(21,nn,iproc)=gacontm_hb3(1,j,i)
7003             zapas(22,nn,iproc)=gacontm_hb3(2,j,i)
7004             zapas(23,nn,iproc)=gacontm_hb3(3,j,i)
7005             zapas(24,nn,iproc)=gacontp_hb3(1,j,i)
7006             zapas(25,nn,iproc)=gacontp_hb3(2,j,i)
7007             zapas(26,nn,iproc)=gacontp_hb3(3,j,i)
7008           endif
7009         enddo
7010         enddo
7011       enddo
7012       if (lprn) then
7013       write (iout,*) 
7014      &  "Numbers of contacts to be sent to other processors",
7015      &  (ncont_sent(i),i=1,ntask_cont_to)
7016       write (iout,*) "Contacts sent"
7017       do ii=1,ntask_cont_to
7018         nn=ncont_sent(ii)
7019         iproc=itask_cont_to(ii)
7020         write (iout,*) nn," contacts to processor",iproc,
7021      &   " of CONT_TO_COMM group"
7022         do i=1,nn
7023           write(iout,'(2f5.0,4f10.5)')(zapas(j,i,ii),j=1,5)
7024         enddo
7025       enddo
7026       call flush(iout)
7027       endif
7028       CorrelType=477
7029       CorrelID=fg_rank+1
7030       CorrelType1=478
7031       CorrelID1=nfgtasks+fg_rank+1
7032       ireq=0
7033 C Receive the numbers of needed contacts from other processors 
7034       do ii=1,ntask_cont_from
7035         iproc=itask_cont_from(ii)
7036         ireq=ireq+1
7037         call MPI_Irecv(ncont_recv(ii),1,MPI_INTEGER,iproc,CorrelType,
7038      &    FG_COMM,req(ireq),IERR)
7039       enddo
7040 c      write (iout,*) "IRECV ended"
7041 c      call flush(iout)
7042 C Send the number of contacts needed by other processors
7043       do ii=1,ntask_cont_to
7044         iproc=itask_cont_to(ii)
7045         ireq=ireq+1
7046         call MPI_Isend(ncont_sent(ii),1,MPI_INTEGER,iproc,CorrelType,
7047      &    FG_COMM,req(ireq),IERR)
7048       enddo
7049 c      write (iout,*) "ISEND ended"
7050 c      write (iout,*) "number of requests (nn)",ireq
7051       call flush(iout)
7052       if (ireq.gt.0) 
7053      &  call MPI_Waitall(ireq,req,status_array,ierr)
7054 c      write (iout,*) 
7055 c     &  "Numbers of contacts to be received from other processors",
7056 c     &  (ncont_recv(i),i=1,ntask_cont_from)
7057 c      call flush(iout)
7058 C Receive contacts
7059       ireq=0
7060       do ii=1,ntask_cont_from
7061         iproc=itask_cont_from(ii)
7062         nn=ncont_recv(ii)
7063 c        write (iout,*) "Receiving",nn," contacts from processor",iproc,
7064 c     &   " of CONT_TO_COMM group"
7065         call flush(iout)
7066         if (nn.gt.0) then
7067           ireq=ireq+1
7068           call MPI_Irecv(zapas_recv(1,1,ii),nn*max_dim,
7069      &    MPI_DOUBLE_PRECISION,iproc,CorrelType1,FG_COMM,req(ireq),IERR)
7070 c          write (iout,*) "ireq,req",ireq,req(ireq)
7071         endif
7072       enddo
7073 C Send the contacts to processors that need them
7074       do ii=1,ntask_cont_to
7075         iproc=itask_cont_to(ii)
7076         nn=ncont_sent(ii)
7077 c        write (iout,*) nn," contacts to processor",iproc,
7078 c     &   " of CONT_TO_COMM group"
7079         if (nn.gt.0) then
7080           ireq=ireq+1 
7081           call MPI_Isend(zapas(1,1,ii),nn*max_dim,MPI_DOUBLE_PRECISION,
7082      &      iproc,CorrelType1,FG_COMM,req(ireq),IERR)
7083 c          write (iout,*) "ireq,req",ireq,req(ireq)
7084 c          do i=1,nn
7085 c            write(iout,'(2f5.0,4f10.5)')(zapas(j,i,ii),j=1,5)
7086 c          enddo
7087         endif  
7088       enddo
7089 c      write (iout,*) "number of requests (contacts)",ireq
7090 c      write (iout,*) "req",(req(i),i=1,4)
7091 c      call flush(iout)
7092       if (ireq.gt.0) 
7093      & call MPI_Waitall(ireq,req,status_array,ierr)
7094       do iii=1,ntask_cont_from
7095         iproc=itask_cont_from(iii)
7096         nn=ncont_recv(iii)
7097         if (lprn) then
7098         write (iout,*) "Received",nn," contacts from processor",iproc,
7099      &   " of CONT_FROM_COMM group"
7100         call flush(iout)
7101         do i=1,nn
7102           write(iout,'(2f5.0,4f10.5)')(zapas_recv(j,i,iii),j=1,5)
7103         enddo
7104         call flush(iout)
7105         endif
7106         do i=1,nn
7107           ii=zapas_recv(1,i,iii)
7108 c Flag the received contacts to prevent double-counting
7109           jj=-zapas_recv(2,i,iii)
7110 c          write (iout,*) "iii",iii," i",i," ii",ii," jj",jj
7111 c          call flush(iout)
7112           nnn=num_cont_hb(ii)+1
7113           num_cont_hb(ii)=nnn
7114           jcont_hb(nnn,ii)=jj
7115           facont_hb(nnn,ii)=zapas_recv(3,i,iii)
7116           ees0p(nnn,ii)=zapas_recv(4,i,iii)
7117           ees0m(nnn,ii)=zapas_recv(5,i,iii)
7118           gacont_hbr(1,nnn,ii)=zapas_recv(6,i,iii)
7119           gacont_hbr(2,nnn,ii)=zapas_recv(7,i,iii)
7120           gacont_hbr(3,nnn,ii)=zapas_recv(8,i,iii)
7121           gacontm_hb1(1,nnn,ii)=zapas_recv(9,i,iii)
7122           gacontm_hb1(2,nnn,ii)=zapas_recv(10,i,iii)
7123           gacontm_hb1(3,nnn,ii)=zapas_recv(11,i,iii)
7124           gacontp_hb1(1,nnn,ii)=zapas_recv(12,i,iii)
7125           gacontp_hb1(2,nnn,ii)=zapas_recv(13,i,iii)
7126           gacontp_hb1(3,nnn,ii)=zapas_recv(14,i,iii)
7127           gacontm_hb2(1,nnn,ii)=zapas_recv(15,i,iii)
7128           gacontm_hb2(2,nnn,ii)=zapas_recv(16,i,iii)
7129           gacontm_hb2(3,nnn,ii)=zapas_recv(17,i,iii)
7130           gacontp_hb2(1,nnn,ii)=zapas_recv(18,i,iii)
7131           gacontp_hb2(2,nnn,ii)=zapas_recv(19,i,iii)
7132           gacontp_hb2(3,nnn,ii)=zapas_recv(20,i,iii)
7133           gacontm_hb3(1,nnn,ii)=zapas_recv(21,i,iii)
7134           gacontm_hb3(2,nnn,ii)=zapas_recv(22,i,iii)
7135           gacontm_hb3(3,nnn,ii)=zapas_recv(23,i,iii)
7136           gacontp_hb3(1,nnn,ii)=zapas_recv(24,i,iii)
7137           gacontp_hb3(2,nnn,ii)=zapas_recv(25,i,iii)
7138           gacontp_hb3(3,nnn,ii)=zapas_recv(26,i,iii)
7139         enddo
7140       enddo
7141       call flush(iout)
7142       if (lprn) then
7143         write (iout,'(a)') 'Contact function values after receive:'
7144         do i=nnt,nct-2
7145           write (iout,'(2i3,50(1x,i3,f5.2))') 
7146      &    i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
7147      &    j=1,num_cont_hb(i))
7148         enddo
7149         call flush(iout)
7150       endif
7151    30 continue
7152 #endif
7153       if (lprn) then
7154         write (iout,'(a)') 'Contact function values:'
7155         do i=nnt,nct-2
7156           write (iout,'(2i3,50(1x,i3,f5.2))') 
7157      &    i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
7158      &    j=1,num_cont_hb(i))
7159         enddo
7160       endif
7161       ecorr=0.0D0
7162 C Remove the loop below after debugging !!!
7163       do i=nnt,nct
7164         do j=1,3
7165           gradcorr(j,i)=0.0D0
7166           gradxorr(j,i)=0.0D0
7167         enddo
7168       enddo
7169 C Calculate the local-electrostatic correlation terms
7170       do i=min0(iatel_s,iturn4_start),max0(iatel_e,iturn3_end)
7171         i1=i+1
7172         num_conti=num_cont_hb(i)
7173         num_conti1=num_cont_hb(i+1)
7174         do jj=1,num_conti
7175           j=jcont_hb(jj,i)
7176           jp=iabs(j)
7177           do kk=1,num_conti1
7178             j1=jcont_hb(kk,i1)
7179             jp1=iabs(j1)
7180 c            write (iout,*) 'i=',i,' j=',j,' i1=',i1,' j1=',j1,
7181 c     &         ' jj=',jj,' kk=',kk
7182             if ((j.gt.0 .and. j1.gt.0 .or. j.gt.0 .and. j1.lt.0 
7183      &          .or. j.lt.0 .and. j1.gt.0) .and.
7184      &         (jp1.eq.jp+1 .or. jp1.eq.jp-1)) then
7185 C Contacts I-J and (I+1)-(J+1) or (I+1)-(J-1) occur simultaneously. 
7186 C The system gains extra energy.
7187               ecorr=ecorr+ehbcorr(i,jp,i+1,jp1,jj,kk,0.72D0,0.32D0)
7188               if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
7189      &            'ecorrh',i,j,ehbcorr(i,j,i+1,j1,jj,kk,0.72D0,0.32D0)
7190               n_corr=n_corr+1
7191             else if (j1.eq.j) then
7192 C Contacts I-J and I-(J+1) occur simultaneously. 
7193 C The system loses extra energy.
7194 c             ecorr=ecorr+ehbcorr(i,j,i+1,j,jj,kk,0.60D0,-0.40D0) 
7195             endif
7196           enddo ! kk
7197           do kk=1,num_conti
7198             j1=jcont_hb(kk,i)
7199 c           write (iout,*) 'i=',i,' j=',j,' i1=',i1,' j1=',j1,
7200 c    &         ' jj=',jj,' kk=',kk
7201             if (j1.eq.j+1) then
7202 C Contacts I-J and (I+1)-J occur simultaneously. 
7203 C The system loses extra energy.
7204 c             ecorr=ecorr+ehbcorr(i,j,i,j+1,jj,kk,0.60D0,-0.40D0)
7205             endif ! j1==j+1
7206           enddo ! kk
7207         enddo ! jj
7208       enddo ! i
7209       return
7210       end
7211 c------------------------------------------------------------------------------
7212       subroutine add_hb_contact(ii,jj,itask)
7213       implicit real*8 (a-h,o-z)
7214       include "DIMENSIONS"
7215       include "COMMON.IOUNITS"
7216       integer max_cont
7217       integer max_dim
7218       parameter (max_cont=maxconts)
7219       parameter (max_dim=26)
7220       include "COMMON.CONTACTS"
7221       double precision zapas(max_dim,maxconts,max_fg_procs),
7222      &  zapas_recv(max_dim,maxconts,max_fg_procs)
7223       common /przechowalnia/ zapas
7224       integer i,j,ii,jj,iproc,itask(4),nn
7225 c      write (iout,*) "itask",itask
7226       do i=1,2
7227         iproc=itask(i)
7228         if (iproc.gt.0) then
7229           do j=1,num_cont_hb(ii)
7230             jjc=jcont_hb(j,ii)
7231 c            write (iout,*) "i",ii," j",jj," jjc",jjc
7232             if (jjc.eq.jj) then
7233               ncont_sent(iproc)=ncont_sent(iproc)+1
7234               nn=ncont_sent(iproc)
7235               zapas(1,nn,iproc)=ii
7236               zapas(2,nn,iproc)=jjc
7237               zapas(3,nn,iproc)=facont_hb(j,ii)
7238               zapas(4,nn,iproc)=ees0p(j,ii)
7239               zapas(5,nn,iproc)=ees0m(j,ii)
7240               zapas(6,nn,iproc)=gacont_hbr(1,j,ii)
7241               zapas(7,nn,iproc)=gacont_hbr(2,j,ii)
7242               zapas(8,nn,iproc)=gacont_hbr(3,j,ii)
7243               zapas(9,nn,iproc)=gacontm_hb1(1,j,ii)
7244               zapas(10,nn,iproc)=gacontm_hb1(2,j,ii)
7245               zapas(11,nn,iproc)=gacontm_hb1(3,j,ii)
7246               zapas(12,nn,iproc)=gacontp_hb1(1,j,ii)
7247               zapas(13,nn,iproc)=gacontp_hb1(2,j,ii)
7248               zapas(14,nn,iproc)=gacontp_hb1(3,j,ii)
7249               zapas(15,nn,iproc)=gacontm_hb2(1,j,ii)
7250               zapas(16,nn,iproc)=gacontm_hb2(2,j,ii)
7251               zapas(17,nn,iproc)=gacontm_hb2(3,j,ii)
7252               zapas(18,nn,iproc)=gacontp_hb2(1,j,ii)
7253               zapas(19,nn,iproc)=gacontp_hb2(2,j,ii)
7254               zapas(20,nn,iproc)=gacontp_hb2(3,j,ii)
7255               zapas(21,nn,iproc)=gacontm_hb3(1,j,ii)
7256               zapas(22,nn,iproc)=gacontm_hb3(2,j,ii)
7257               zapas(23,nn,iproc)=gacontm_hb3(3,j,ii)
7258               zapas(24,nn,iproc)=gacontp_hb3(1,j,ii)
7259               zapas(25,nn,iproc)=gacontp_hb3(2,j,ii)
7260               zapas(26,nn,iproc)=gacontp_hb3(3,j,ii)
7261               exit
7262             endif
7263           enddo
7264         endif
7265       enddo
7266       return
7267       end
7268 c------------------------------------------------------------------------------
7269       subroutine multibody_eello(ecorr,ecorr5,ecorr6,eturn6,n_corr,
7270      &  n_corr1)
7271 C This subroutine calculates multi-body contributions to hydrogen-bonding 
7272       implicit real*8 (a-h,o-z)
7273       include 'DIMENSIONS'
7274       include 'COMMON.IOUNITS'
7275 #ifdef MPI
7276       include "mpif.h"
7277       parameter (max_cont=maxconts)
7278       parameter (max_dim=70)
7279       integer source,CorrelType,CorrelID,CorrelType1,CorrelID1,Error
7280       double precision zapas(max_dim,maxconts,max_fg_procs),
7281      &  zapas_recv(max_dim,maxconts,max_fg_procs)
7282       common /przechowalnia/ zapas
7283       integer status(MPI_STATUS_SIZE),req(maxconts*2),
7284      &  status_array(MPI_STATUS_SIZE,maxconts*2)
7285 #endif
7286       include 'COMMON.SETUP'
7287       include 'COMMON.FFIELD'
7288       include 'COMMON.DERIV'
7289       include 'COMMON.LOCAL'
7290       include 'COMMON.INTERACT'
7291       include 'COMMON.CONTACTS'
7292       include 'COMMON.CHAIN'
7293       include 'COMMON.CONTROL'
7294       double precision gx(3),gx1(3)
7295       integer num_cont_hb_old(maxres)
7296       logical lprn,ldone
7297       double precision eello4,eello5,eelo6,eello_turn6
7298       external eello4,eello5,eello6,eello_turn6
7299 C Set lprn=.true. for debugging
7300       lprn=.false.
7301       eturn6=0.0d0
7302 #ifdef MPI
7303       do i=1,nres
7304         num_cont_hb_old(i)=num_cont_hb(i)
7305       enddo
7306       n_corr=0
7307       n_corr1=0
7308       if (nfgtasks.le.1) goto 30
7309       if (lprn) then
7310         write (iout,'(a)') 'Contact function values before RECEIVE:'
7311         do i=nnt,nct-2
7312           write (iout,'(2i3,50(1x,i2,f5.2))') 
7313      &    i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
7314      &    j=1,num_cont_hb(i))
7315         enddo
7316       endif
7317       call flush(iout)
7318       do i=1,ntask_cont_from
7319         ncont_recv(i)=0
7320       enddo
7321       do i=1,ntask_cont_to
7322         ncont_sent(i)=0
7323       enddo
7324 c      write (iout,*) "ntask_cont_from",ntask_cont_from," ntask_cont_to",
7325 c     & ntask_cont_to
7326 C Make the list of contacts to send to send to other procesors
7327       do i=iturn3_start,iturn3_end
7328 c        write (iout,*) "make contact list turn3",i," num_cont",
7329 c     &    num_cont_hb(i)
7330         call add_hb_contact_eello(i,i+2,iturn3_sent_local(1,i))
7331       enddo
7332       do i=iturn4_start,iturn4_end
7333 c        write (iout,*) "make contact list turn4",i," num_cont",
7334 c     &   num_cont_hb(i)
7335         call add_hb_contact_eello(i,i+3,iturn4_sent_local(1,i))
7336       enddo
7337       do ii=1,nat_sent
7338         i=iat_sent(ii)
7339 c        write (iout,*) "make contact list longrange",i,ii," num_cont",
7340 c     &    num_cont_hb(i)
7341         do j=1,num_cont_hb(i)
7342         do k=1,4
7343           jjc=jcont_hb(j,i)
7344           iproc=iint_sent_local(k,jjc,ii)
7345 c          write (iout,*) "i",i," j",j," k",k," jjc",jjc," iproc",iproc
7346           if (iproc.ne.0) then
7347             ncont_sent(iproc)=ncont_sent(iproc)+1
7348             nn=ncont_sent(iproc)
7349             zapas(1,nn,iproc)=i
7350             zapas(2,nn,iproc)=jjc
7351             zapas(3,nn,iproc)=d_cont(j,i)
7352             ind=3
7353             do kk=1,3
7354               ind=ind+1
7355               zapas(ind,nn,iproc)=grij_hb_cont(kk,j,i)
7356             enddo
7357             do kk=1,2
7358               do ll=1,2
7359                 ind=ind+1
7360                 zapas(ind,nn,iproc)=a_chuj(ll,kk,j,i)
7361               enddo
7362             enddo
7363             do jj=1,5
7364               do kk=1,3
7365                 do ll=1,2
7366                   do mm=1,2
7367                     ind=ind+1
7368                     zapas(ind,nn,iproc)=a_chuj_der(mm,ll,kk,jj,j,i)
7369                   enddo
7370                 enddo
7371               enddo
7372             enddo
7373           endif
7374         enddo
7375         enddo
7376       enddo
7377       if (lprn) then
7378       write (iout,*) 
7379      &  "Numbers of contacts to be sent to other processors",
7380      &  (ncont_sent(i),i=1,ntask_cont_to)
7381       write (iout,*) "Contacts sent"
7382       do ii=1,ntask_cont_to
7383         nn=ncont_sent(ii)
7384         iproc=itask_cont_to(ii)
7385         write (iout,*) nn," contacts to processor",iproc,
7386      &   " of CONT_TO_COMM group"
7387         do i=1,nn
7388           write(iout,'(2f5.0,10f10.5)')(zapas(j,i,ii),j=1,10)
7389         enddo
7390       enddo
7391       call flush(iout)
7392       endif
7393       CorrelType=477
7394       CorrelID=fg_rank+1
7395       CorrelType1=478
7396       CorrelID1=nfgtasks+fg_rank+1
7397       ireq=0
7398 C Receive the numbers of needed contacts from other processors 
7399       do ii=1,ntask_cont_from
7400         iproc=itask_cont_from(ii)
7401         ireq=ireq+1
7402         call MPI_Irecv(ncont_recv(ii),1,MPI_INTEGER,iproc,CorrelType,
7403      &    FG_COMM,req(ireq),IERR)
7404       enddo
7405 c      write (iout,*) "IRECV ended"
7406 c      call flush(iout)
7407 C Send the number of contacts needed by other processors
7408       do ii=1,ntask_cont_to
7409         iproc=itask_cont_to(ii)
7410         ireq=ireq+1
7411         call MPI_Isend(ncont_sent(ii),1,MPI_INTEGER,iproc,CorrelType,
7412      &    FG_COMM,req(ireq),IERR)
7413       enddo
7414 c      write (iout,*) "ISEND ended"
7415 c      write (iout,*) "number of requests (nn)",ireq
7416       call flush(iout)
7417       if (ireq.gt.0) 
7418      &  call MPI_Waitall(ireq,req,status_array,ierr)
7419 c      write (iout,*) 
7420 c     &  "Numbers of contacts to be received from other processors",
7421 c     &  (ncont_recv(i),i=1,ntask_cont_from)
7422 c      call flush(iout)
7423 C Receive contacts
7424       ireq=0
7425       do ii=1,ntask_cont_from
7426         iproc=itask_cont_from(ii)
7427         nn=ncont_recv(ii)
7428 c        write (iout,*) "Receiving",nn," contacts from processor",iproc,
7429 c     &   " of CONT_TO_COMM group"
7430         call flush(iout)
7431         if (nn.gt.0) then
7432           ireq=ireq+1
7433           call MPI_Irecv(zapas_recv(1,1,ii),nn*max_dim,
7434      &    MPI_DOUBLE_PRECISION,iproc,CorrelType1,FG_COMM,req(ireq),IERR)
7435 c          write (iout,*) "ireq,req",ireq,req(ireq)
7436         endif
7437       enddo
7438 C Send the contacts to processors that need them
7439       do ii=1,ntask_cont_to
7440         iproc=itask_cont_to(ii)
7441         nn=ncont_sent(ii)
7442 c        write (iout,*) nn," contacts to processor",iproc,
7443 c     &   " of CONT_TO_COMM group"
7444         if (nn.gt.0) then
7445           ireq=ireq+1 
7446           call MPI_Isend(zapas(1,1,ii),nn*max_dim,MPI_DOUBLE_PRECISION,
7447      &      iproc,CorrelType1,FG_COMM,req(ireq),IERR)
7448 c          write (iout,*) "ireq,req",ireq,req(ireq)
7449 c          do i=1,nn
7450 c            write(iout,'(2f5.0,4f10.5)')(zapas(j,i,ii),j=1,5)
7451 c          enddo
7452         endif  
7453       enddo
7454 c      write (iout,*) "number of requests (contacts)",ireq
7455 c      write (iout,*) "req",(req(i),i=1,4)
7456 c      call flush(iout)
7457       if (ireq.gt.0) 
7458      & call MPI_Waitall(ireq,req,status_array,ierr)
7459       do iii=1,ntask_cont_from
7460         iproc=itask_cont_from(iii)
7461         nn=ncont_recv(iii)
7462         if (lprn) then
7463         write (iout,*) "Received",nn," contacts from processor",iproc,
7464      &   " of CONT_FROM_COMM group"
7465         call flush(iout)
7466         do i=1,nn
7467           write(iout,'(2f5.0,10f10.5)')(zapas_recv(j,i,iii),j=1,10)
7468         enddo
7469         call flush(iout)
7470         endif
7471         do i=1,nn
7472           ii=zapas_recv(1,i,iii)
7473 c Flag the received contacts to prevent double-counting
7474           jj=-zapas_recv(2,i,iii)
7475 c          write (iout,*) "iii",iii," i",i," ii",ii," jj",jj
7476 c          call flush(iout)
7477           nnn=num_cont_hb(ii)+1
7478           num_cont_hb(ii)=nnn
7479           jcont_hb(nnn,ii)=jj
7480           d_cont(nnn,ii)=zapas_recv(3,i,iii)
7481           ind=3
7482           do kk=1,3
7483             ind=ind+1
7484             grij_hb_cont(kk,nnn,ii)=zapas_recv(ind,i,iii)
7485           enddo
7486           do kk=1,2
7487             do ll=1,2
7488               ind=ind+1
7489               a_chuj(ll,kk,nnn,ii)=zapas_recv(ind,i,iii)
7490             enddo
7491           enddo
7492           do jj=1,5
7493             do kk=1,3
7494               do ll=1,2
7495                 do mm=1,2
7496                   ind=ind+1
7497                   a_chuj_der(mm,ll,kk,jj,nnn,ii)=zapas_recv(ind,i,iii)
7498                 enddo
7499               enddo
7500             enddo
7501           enddo
7502         enddo
7503       enddo
7504       call flush(iout)
7505       if (lprn) then
7506         write (iout,'(a)') 'Contact function values after receive:'
7507         do i=nnt,nct-2
7508           write (iout,'(2i3,50(1x,i3,5f6.3))') 
7509      &    i,num_cont_hb(i),(jcont_hb(j,i),d_cont(j,i),
7510      &    ((a_chuj(ll,kk,j,i),ll=1,2),kk=1,2),j=1,num_cont_hb(i))
7511         enddo
7512         call flush(iout)
7513       endif
7514    30 continue
7515 #endif
7516       if (lprn) then
7517         write (iout,'(a)') 'Contact function values:'
7518         do i=nnt,nct-2
7519           write (iout,'(2i3,50(1x,i2,5f6.3))') 
7520      &    i,num_cont_hb(i),(jcont_hb(j,i),d_cont(j,i),
7521      &    ((a_chuj(ll,kk,j,i),ll=1,2),kk=1,2),j=1,num_cont_hb(i))
7522         enddo
7523       endif
7524       ecorr=0.0D0
7525       ecorr5=0.0d0
7526       ecorr6=0.0d0
7527 C Remove the loop below after debugging !!!
7528       do i=nnt,nct
7529         do j=1,3
7530           gradcorr(j,i)=0.0D0
7531           gradxorr(j,i)=0.0D0
7532         enddo
7533       enddo
7534 C Calculate the dipole-dipole interaction energies
7535       if (wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0) then
7536       do i=iatel_s,iatel_e+1
7537         num_conti=num_cont_hb(i)
7538         do jj=1,num_conti
7539           j=jcont_hb(jj,i)
7540 #ifdef MOMENT
7541           call dipole(i,j,jj)
7542 #endif
7543         enddo
7544       enddo
7545       endif
7546 C Calculate the local-electrostatic correlation terms
7547 c                write (iout,*) "gradcorr5 in eello5 before loop"
7548 c                do iii=1,nres
7549 c                  write (iout,'(i5,3f10.5)') 
7550 c     &             iii,(gradcorr5(jjj,iii),jjj=1,3)
7551 c                enddo
7552       do i=min0(iatel_s,iturn4_start),max0(iatel_e+1,iturn3_end+1)
7553 c        write (iout,*) "corr loop i",i
7554         i1=i+1
7555         num_conti=num_cont_hb(i)
7556         num_conti1=num_cont_hb(i+1)
7557         do jj=1,num_conti
7558           j=jcont_hb(jj,i)
7559           jp=iabs(j)
7560           do kk=1,num_conti1
7561             j1=jcont_hb(kk,i1)
7562             jp1=iabs(j1)
7563 c            write (iout,*) 'i=',i,' j=',j,' i1=',i1,' j1=',j1,
7564 c     &         ' jj=',jj,' kk=',kk
7565 c            if (j1.eq.j+1 .or. j1.eq.j-1) then
7566             if ((j.gt.0 .and. j1.gt.0 .or. j.gt.0 .and. j1.lt.0 
7567      &          .or. j.lt.0 .and. j1.gt.0) .and.
7568      &         (jp1.eq.jp+1 .or. jp1.eq.jp-1)) then
7569 C Contacts I-J and (I+1)-(J+1) or (I+1)-(J-1) occur simultaneously. 
7570 C The system gains extra energy.
7571               n_corr=n_corr+1
7572               sqd1=dsqrt(d_cont(jj,i))
7573               sqd2=dsqrt(d_cont(kk,i1))
7574               sred_geom = sqd1*sqd2
7575               IF (sred_geom.lt.cutoff_corr) THEN
7576                 call gcont(sred_geom,r0_corr,1.0D0,delt_corr,
7577      &            ekont,fprimcont)
7578 cd               write (iout,*) 'i=',i,' j=',jp,' i1=',i1,' j1=',jp1,
7579 cd     &         ' jj=',jj,' kk=',kk
7580                 fac_prim1=0.5d0*sqd2/sqd1*fprimcont
7581                 fac_prim2=0.5d0*sqd1/sqd2*fprimcont
7582                 do l=1,3
7583                   g_contij(l,1)=fac_prim1*grij_hb_cont(l,jj,i)
7584                   g_contij(l,2)=fac_prim2*grij_hb_cont(l,kk,i1)
7585                 enddo
7586                 n_corr1=n_corr1+1
7587 cd               write (iout,*) 'sred_geom=',sred_geom,
7588 cd     &          ' ekont=',ekont,' fprim=',fprimcont,
7589 cd     &          ' fac_prim1',fac_prim1,' fac_prim2',fac_prim2
7590 cd               write (iout,*) "g_contij",g_contij
7591 cd               write (iout,*) "grij_hb_cont i",grij_hb_cont(:,jj,i)
7592 cd               write (iout,*) "grij_hb_cont i1",grij_hb_cont(:,jj,i1)
7593                 call calc_eello(i,jp,i+1,jp1,jj,kk)
7594                 if (wcorr4.gt.0.0d0) 
7595      &            ecorr=ecorr+eello4(i,jp,i+1,jp1,jj,kk)
7596                   if (energy_dec.and.wcorr4.gt.0.0d0) 
7597      1                 write (iout,'(a6,4i5,0pf7.3)')
7598      2                'ecorr4',i,j,i+1,j1,eello4(i,jp,i+1,jp1,jj,kk)
7599 c                write (iout,*) "gradcorr5 before eello5"
7600 c                do iii=1,nres
7601 c                  write (iout,'(i5,3f10.5)') 
7602 c     &             iii,(gradcorr5(jjj,iii),jjj=1,3)
7603 c                enddo
7604                 if (wcorr5.gt.0.0d0)
7605      &            ecorr5=ecorr5+eello5(i,jp,i+1,jp1,jj,kk)
7606 c                write (iout,*) "gradcorr5 after eello5"
7607 c                do iii=1,nres
7608 c                  write (iout,'(i5,3f10.5)') 
7609 c     &             iii,(gradcorr5(jjj,iii),jjj=1,3)
7610 c                enddo
7611                   if (energy_dec.and.wcorr5.gt.0.0d0) 
7612      1                 write (iout,'(a6,4i5,0pf7.3)')
7613      2                'ecorr5',i,j,i+1,j1,eello5(i,jp,i+1,jp1,jj,kk)
7614 cd                write(2,*)'wcorr6',wcorr6,' wturn6',wturn6
7615 cd                write(2,*)'ijkl',i,jp,i+1,jp1 
7616                 if (wcorr6.gt.0.0d0 .and. (jp.ne.i+4 .or. jp1.ne.i+3
7617      &               .or. wturn6.eq.0.0d0))then
7618 cd                  write (iout,*) '******ecorr6: i,j,i+1,j1',i,j,i+1,j1
7619                   ecorr6=ecorr6+eello6(i,jp,i+1,jp1,jj,kk)
7620                   if (energy_dec) write (iout,'(a6,4i5,0pf7.3)')
7621      1                'ecorr6',i,j,i+1,j1,eello6(i,jp,i+1,jp1,jj,kk)
7622 cd                write (iout,*) 'ecorr',ecorr,' ecorr5=',ecorr5,
7623 cd     &            'ecorr6=',ecorr6
7624 cd                write (iout,'(4e15.5)') sred_geom,
7625 cd     &          dabs(eello4(i,jp,i+1,jp1,jj,kk)),
7626 cd     &          dabs(eello5(i,jp,i+1,jp1,jj,kk)),
7627 cd     &          dabs(eello6(i,jp,i+1,jp1,jj,kk))
7628                 else if (wturn6.gt.0.0d0
7629      &            .and. (jp.eq.i+4 .and. jp1.eq.i+3)) then
7630 cd                  write (iout,*) '******eturn6: i,j,i+1,j1',i,jip,i+1,jp1
7631                   eturn6=eturn6+eello_turn6(i,jj,kk)
7632                   if (energy_dec) write (iout,'(a6,4i5,0pf7.3)')
7633      1                 'eturn6',i,j,i+1,j1,eello_turn6(i,jj,kk)
7634 cd                  write (2,*) 'multibody_eello:eturn6',eturn6
7635                 endif
7636               ENDIF
7637 1111          continue
7638             endif
7639           enddo ! kk
7640         enddo ! jj
7641       enddo ! i
7642       do i=1,nres
7643         num_cont_hb(i)=num_cont_hb_old(i)
7644       enddo
7645 c                write (iout,*) "gradcorr5 in eello5"
7646 c                do iii=1,nres
7647 c                  write (iout,'(i5,3f10.5)') 
7648 c     &             iii,(gradcorr5(jjj,iii),jjj=1,3)
7649 c                enddo
7650       return
7651       end
7652 c------------------------------------------------------------------------------
7653       subroutine add_hb_contact_eello(ii,jj,itask)
7654       implicit real*8 (a-h,o-z)
7655       include "DIMENSIONS"
7656       include "COMMON.IOUNITS"
7657       integer max_cont
7658       integer max_dim
7659       parameter (max_cont=maxconts)
7660       parameter (max_dim=70)
7661       include "COMMON.CONTACTS"
7662       double precision zapas(max_dim,maxconts,max_fg_procs),
7663      &  zapas_recv(max_dim,maxconts,max_fg_procs)
7664       common /przechowalnia/ zapas
7665       integer i,j,ii,jj,iproc,itask(4),nn
7666 c      write (iout,*) "itask",itask
7667       do i=1,2
7668         iproc=itask(i)
7669         if (iproc.gt.0) then
7670           do j=1,num_cont_hb(ii)
7671             jjc=jcont_hb(j,ii)
7672 c            write (iout,*) "send turns i",ii," j",jj," jjc",jjc
7673             if (jjc.eq.jj) then
7674               ncont_sent(iproc)=ncont_sent(iproc)+1
7675               nn=ncont_sent(iproc)
7676               zapas(1,nn,iproc)=ii
7677               zapas(2,nn,iproc)=jjc
7678               zapas(3,nn,iproc)=d_cont(j,ii)
7679               ind=3
7680               do kk=1,3
7681                 ind=ind+1
7682                 zapas(ind,nn,iproc)=grij_hb_cont(kk,j,ii)
7683               enddo
7684               do kk=1,2
7685                 do ll=1,2
7686                   ind=ind+1
7687                   zapas(ind,nn,iproc)=a_chuj(ll,kk,j,ii)
7688                 enddo
7689               enddo
7690               do jj=1,5
7691                 do kk=1,3
7692                   do ll=1,2
7693                     do mm=1,2
7694                       ind=ind+1
7695                       zapas(ind,nn,iproc)=a_chuj_der(mm,ll,kk,jj,j,ii)
7696                     enddo
7697                   enddo
7698                 enddo
7699               enddo
7700               exit
7701             endif
7702           enddo
7703         endif
7704       enddo
7705       return
7706       end
7707 c------------------------------------------------------------------------------
7708       double precision function ehbcorr(i,j,k,l,jj,kk,coeffp,coeffm)
7709       implicit real*8 (a-h,o-z)
7710       include 'DIMENSIONS'
7711       include 'COMMON.IOUNITS'
7712       include 'COMMON.DERIV'
7713       include 'COMMON.INTERACT'
7714       include 'COMMON.CONTACTS'
7715       double precision gx(3),gx1(3)
7716       logical lprn
7717       lprn=.false.
7718       eij=facont_hb(jj,i)
7719       ekl=facont_hb(kk,k)
7720       ees0pij=ees0p(jj,i)
7721       ees0pkl=ees0p(kk,k)
7722       ees0mij=ees0m(jj,i)
7723       ees0mkl=ees0m(kk,k)
7724       ekont=eij*ekl
7725       ees=-(coeffp*ees0pij*ees0pkl+coeffm*ees0mij*ees0mkl)
7726 cd    ees=-(coeffp*ees0pkl+coeffm*ees0mkl)
7727 C Following 4 lines for diagnostics.
7728 cd    ees0pkl=0.0D0
7729 cd    ees0pij=1.0D0
7730 cd    ees0mkl=0.0D0
7731 cd    ees0mij=1.0D0
7732 c      write (iout,'(2(a,2i3,a,f10.5,a,2f10.5),a,f10.5,a,$)')
7733 c     & 'Contacts ',i,j,
7734 c     & ' eij',eij,' eesij',ees0pij,ees0mij,' and ',k,l
7735 c     & ,' fcont ',ekl,' eeskl',ees0pkl,ees0mkl,' energy=',ekont*ees,
7736 c     & 'gradcorr_long'
7737 C Calculate the multi-body contribution to energy.
7738 c      ecorr=ecorr+ekont*ees
7739 C Calculate multi-body contributions to the gradient.
7740       coeffpees0pij=coeffp*ees0pij
7741       coeffmees0mij=coeffm*ees0mij
7742       coeffpees0pkl=coeffp*ees0pkl
7743       coeffmees0mkl=coeffm*ees0mkl
7744       do ll=1,3
7745 cgrad        ghalfi=ees*ekl*gacont_hbr(ll,jj,i)
7746         gradcorr(ll,i)=gradcorr(ll,i)!+0.5d0*ghalfi
7747      &  -ekont*(coeffpees0pkl*gacontp_hb1(ll,jj,i)+
7748      &  coeffmees0mkl*gacontm_hb1(ll,jj,i))
7749         gradcorr(ll,j)=gradcorr(ll,j)!+0.5d0*ghalfi
7750      &  -ekont*(coeffpees0pkl*gacontp_hb2(ll,jj,i)+
7751      &  coeffmees0mkl*gacontm_hb2(ll,jj,i))
7752 cgrad        ghalfk=ees*eij*gacont_hbr(ll,kk,k)
7753         gradcorr(ll,k)=gradcorr(ll,k)!+0.5d0*ghalfk
7754      &  -ekont*(coeffpees0pij*gacontp_hb1(ll,kk,k)+
7755      &  coeffmees0mij*gacontm_hb1(ll,kk,k))
7756         gradcorr(ll,l)=gradcorr(ll,l)!+0.5d0*ghalfk
7757      &  -ekont*(coeffpees0pij*gacontp_hb2(ll,kk,k)+
7758      &  coeffmees0mij*gacontm_hb2(ll,kk,k))
7759         gradlongij=ees*ekl*gacont_hbr(ll,jj,i)-
7760      &     ekont*(coeffpees0pkl*gacontp_hb3(ll,jj,i)+
7761      &     coeffmees0mkl*gacontm_hb3(ll,jj,i))
7762         gradcorr_long(ll,j)=gradcorr_long(ll,j)+gradlongij
7763         gradcorr_long(ll,i)=gradcorr_long(ll,i)-gradlongij
7764         gradlongkl=ees*eij*gacont_hbr(ll,kk,k)-
7765      &     ekont*(coeffpees0pij*gacontp_hb3(ll,kk,k)+
7766      &     coeffmees0mij*gacontm_hb3(ll,kk,k))
7767         gradcorr_long(ll,l)=gradcorr_long(ll,l)+gradlongkl
7768         gradcorr_long(ll,k)=gradcorr_long(ll,k)-gradlongkl
7769 c        write (iout,'(2f10.5,2x,$)') gradlongij,gradlongkl
7770       enddo
7771 c      write (iout,*)
7772 cgrad      do m=i+1,j-1
7773 cgrad        do ll=1,3
7774 cgrad          gradcorr(ll,m)=gradcorr(ll,m)+
7775 cgrad     &     ees*ekl*gacont_hbr(ll,jj,i)-
7776 cgrad     &     ekont*(coeffp*ees0pkl*gacontp_hb3(ll,jj,i)+
7777 cgrad     &     coeffm*ees0mkl*gacontm_hb3(ll,jj,i))
7778 cgrad        enddo
7779 cgrad      enddo
7780 cgrad      do m=k+1,l-1
7781 cgrad        do ll=1,3
7782 cgrad          gradcorr(ll,m)=gradcorr(ll,m)+
7783 cgrad     &     ees*eij*gacont_hbr(ll,kk,k)-
7784 cgrad     &     ekont*(coeffp*ees0pij*gacontp_hb3(ll,kk,k)+
7785 cgrad     &     coeffm*ees0mij*gacontm_hb3(ll,kk,k))
7786 cgrad        enddo
7787 cgrad      enddo 
7788 c      write (iout,*) "ehbcorr",ekont*ees
7789       ehbcorr=ekont*ees
7790       return
7791       end
7792 #ifdef MOMENT
7793 C---------------------------------------------------------------------------
7794       subroutine dipole(i,j,jj)
7795       implicit real*8 (a-h,o-z)
7796       include 'DIMENSIONS'
7797       include 'COMMON.IOUNITS'
7798       include 'COMMON.CHAIN'
7799       include 'COMMON.FFIELD'
7800       include 'COMMON.DERIV'
7801       include 'COMMON.INTERACT'
7802       include 'COMMON.CONTACTS'
7803       include 'COMMON.TORSION'
7804       include 'COMMON.VAR'
7805       include 'COMMON.GEO'
7806       dimension dipi(2,2),dipj(2,2),dipderi(2),dipderj(2),auxvec(2),
7807      &  auxmat(2,2)
7808       iti1 = itortyp(itype(i+1))
7809       if (j.lt.nres-1) then
7810         itj1 = itortyp(itype(j+1))
7811       else
7812         itj1=ntortyp+1
7813       endif
7814       do iii=1,2
7815         dipi(iii,1)=Ub2(iii,i)
7816         dipderi(iii)=Ub2der(iii,i)
7817         dipi(iii,2)=b1(iii,iti1)
7818         dipj(iii,1)=Ub2(iii,j)
7819         dipderj(iii)=Ub2der(iii,j)
7820         dipj(iii,2)=b1(iii,itj1)
7821       enddo
7822       kkk=0
7823       do iii=1,2
7824         call matvec2(a_chuj(1,1,jj,i),dipj(1,iii),auxvec(1)) 
7825         do jjj=1,2
7826           kkk=kkk+1
7827           dip(kkk,jj,i)=scalar2(dipi(1,jjj),auxvec(1))
7828         enddo
7829       enddo
7830       do kkk=1,5
7831         do lll=1,3
7832           mmm=0
7833           do iii=1,2
7834             call matvec2(a_chuj_der(1,1,lll,kkk,jj,i),dipj(1,iii),
7835      &        auxvec(1))
7836             do jjj=1,2
7837               mmm=mmm+1
7838               dipderx(lll,kkk,mmm,jj,i)=scalar2(dipi(1,jjj),auxvec(1))
7839             enddo
7840           enddo
7841         enddo
7842       enddo
7843       call transpose2(a_chuj(1,1,jj,i),auxmat(1,1))
7844       call matvec2(auxmat(1,1),dipderi(1),auxvec(1))
7845       do iii=1,2
7846         dipderg(iii,jj,i)=scalar2(auxvec(1),dipj(1,iii))
7847       enddo
7848       call matvec2(a_chuj(1,1,jj,i),dipderj(1),auxvec(1))
7849       do iii=1,2
7850         dipderg(iii+2,jj,i)=scalar2(auxvec(1),dipi(1,iii))
7851       enddo
7852       return
7853       end
7854 #endif
7855 C---------------------------------------------------------------------------
7856       subroutine calc_eello(i,j,k,l,jj,kk)
7857
7858 C This subroutine computes matrices and vectors needed to calculate 
7859 C the fourth-, fifth-, and sixth-order local-electrostatic terms.
7860 C
7861       implicit real*8 (a-h,o-z)
7862       include 'DIMENSIONS'
7863       include 'COMMON.IOUNITS'
7864       include 'COMMON.CHAIN'
7865       include 'COMMON.DERIV'
7866       include 'COMMON.INTERACT'
7867       include 'COMMON.CONTACTS'
7868       include 'COMMON.TORSION'
7869       include 'COMMON.VAR'
7870       include 'COMMON.GEO'
7871       include 'COMMON.FFIELD'
7872       double precision aa1(2,2),aa2(2,2),aa1t(2,2),aa2t(2,2),
7873      &  aa1tder(2,2,3,5),aa2tder(2,2,3,5),auxmat(2,2)
7874       logical lprn
7875       common /kutas/ lprn
7876 cd      write (iout,*) 'calc_eello: i=',i,' j=',j,' k=',k,' l=',l,
7877 cd     & ' jj=',jj,' kk=',kk
7878 cd      if (i.ne.2 .or. j.ne.4 .or. k.ne.3 .or. l.ne.5) return
7879 cd      write (iout,*) "a_chujij",((a_chuj(iii,jjj,jj,i),iii=1,2),jjj=1,2)
7880 cd      write (iout,*) "a_chujkl",((a_chuj(iii,jjj,kk,k),iii=1,2),jjj=1,2)
7881       do iii=1,2
7882         do jjj=1,2
7883           aa1(iii,jjj)=a_chuj(iii,jjj,jj,i)
7884           aa2(iii,jjj)=a_chuj(iii,jjj,kk,k)
7885         enddo
7886       enddo
7887       call transpose2(aa1(1,1),aa1t(1,1))
7888       call transpose2(aa2(1,1),aa2t(1,1))
7889       do kkk=1,5
7890         do lll=1,3
7891           call transpose2(a_chuj_der(1,1,lll,kkk,jj,i),
7892      &      aa1tder(1,1,lll,kkk))
7893           call transpose2(a_chuj_der(1,1,lll,kkk,kk,k),
7894      &      aa2tder(1,1,lll,kkk))
7895         enddo
7896       enddo 
7897       if (l.eq.j+1) then
7898 C parallel orientation of the two CA-CA-CA frames.
7899         if (i.gt.1) then
7900           iti=itortyp(itype(i))
7901         else
7902           iti=ntortyp+1
7903         endif
7904         itk1=itortyp(itype(k+1))
7905         itj=itortyp(itype(j))
7906         if (l.lt.nres-1) then
7907           itl1=itortyp(itype(l+1))
7908         else
7909           itl1=ntortyp+1
7910         endif
7911 C A1 kernel(j+1) A2T
7912 cd        do iii=1,2
7913 cd          write (iout,'(3f10.5,5x,3f10.5)') 
7914 cd     &     (EUg(iii,jjj,k),jjj=1,2),(EUg(iii,jjj,l),jjj=1,2)
7915 cd        enddo
7916         call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7917      &   aa2tder(1,1,1,1),1,.false.,EUg(1,1,l),EUgder(1,1,l),
7918      &   AEA(1,1,1),AEAderg(1,1,1),AEAderx(1,1,1,1,1,1))
7919 C Following matrices are needed only for 6-th order cumulants
7920         IF (wcorr6.gt.0.0d0) THEN
7921         call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7922      &   aa2tder(1,1,1,1),1,.false.,EUgC(1,1,l),EUgCder(1,1,l),
7923      &   AECA(1,1,1),AECAderg(1,1,1),AECAderx(1,1,1,1,1,1))
7924         call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7925      &   aa2tder(1,1,1,1),2,.false.,Ug2DtEUg(1,1,l),
7926      &   Ug2DtEUgder(1,1,1,l),ADtEA(1,1,1),ADtEAderg(1,1,1,1),
7927      &   ADtEAderx(1,1,1,1,1,1))
7928         lprn=.false.
7929         call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7930      &   aa2tder(1,1,1,1),2,.false.,DtUg2EUg(1,1,l),
7931      &   DtUg2EUgder(1,1,1,l),ADtEA1(1,1,1),ADtEA1derg(1,1,1,1),
7932      &   ADtEA1derx(1,1,1,1,1,1))
7933         ENDIF
7934 C End 6-th order cumulants
7935 cd        lprn=.false.
7936 cd        if (lprn) then
7937 cd        write (2,*) 'In calc_eello6'
7938 cd        do iii=1,2
7939 cd          write (2,*) 'iii=',iii
7940 cd          do kkk=1,5
7941 cd            write (2,*) 'kkk=',kkk
7942 cd            do jjj=1,2
7943 cd              write (2,'(3(2f10.5),5x)') 
7944 cd     &        ((ADtEA1derx(jjj,mmm,lll,kkk,iii,1),mmm=1,2),lll=1,3)
7945 cd            enddo
7946 cd          enddo
7947 cd        enddo
7948 cd        endif
7949         call transpose2(EUgder(1,1,k),auxmat(1,1))
7950         call matmat2(auxmat(1,1),AEA(1,1,1),EAEAderg(1,1,1,1))
7951         call transpose2(EUg(1,1,k),auxmat(1,1))
7952         call matmat2(auxmat(1,1),AEA(1,1,1),EAEA(1,1,1))
7953         call matmat2(auxmat(1,1),AEAderg(1,1,1),EAEAderg(1,1,2,1))
7954         do iii=1,2
7955           do kkk=1,5
7956             do lll=1,3
7957               call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,1),
7958      &          EAEAderx(1,1,lll,kkk,iii,1))
7959             enddo
7960           enddo
7961         enddo
7962 C A1T kernel(i+1) A2
7963         call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7964      &   a_chuj_der(1,1,1,1,kk,k),1,.false.,EUg(1,1,k),EUgder(1,1,k),
7965      &   AEA(1,1,2),AEAderg(1,1,2),AEAderx(1,1,1,1,1,2))
7966 C Following matrices are needed only for 6-th order cumulants
7967         IF (wcorr6.gt.0.0d0) THEN
7968         call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7969      &   a_chuj_der(1,1,1,1,kk,k),1,.false.,EUgC(1,1,k),EUgCder(1,1,k),
7970      &   AECA(1,1,2),AECAderg(1,1,2),AECAderx(1,1,1,1,1,2))
7971         call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7972      &   a_chuj_der(1,1,1,1,kk,k),2,.false.,Ug2DtEUg(1,1,k),
7973      &   Ug2DtEUgder(1,1,1,k),ADtEA(1,1,2),ADtEAderg(1,1,1,2),
7974      &   ADtEAderx(1,1,1,1,1,2))
7975         call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7976      &   a_chuj_der(1,1,1,1,kk,k),2,.false.,DtUg2EUg(1,1,k),
7977      &   DtUg2EUgder(1,1,1,k),ADtEA1(1,1,2),ADtEA1derg(1,1,1,2),
7978      &   ADtEA1derx(1,1,1,1,1,2))
7979         ENDIF
7980 C End 6-th order cumulants
7981         call transpose2(EUgder(1,1,l),auxmat(1,1))
7982         call matmat2(auxmat(1,1),AEA(1,1,2),EAEAderg(1,1,1,2))
7983         call transpose2(EUg(1,1,l),auxmat(1,1))
7984         call matmat2(auxmat(1,1),AEA(1,1,2),EAEA(1,1,2))
7985         call matmat2(auxmat(1,1),AEAderg(1,1,2),EAEAderg(1,1,2,2))
7986         do iii=1,2
7987           do kkk=1,5
7988             do lll=1,3
7989               call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
7990      &          EAEAderx(1,1,lll,kkk,iii,2))
7991             enddo
7992           enddo
7993         enddo
7994 C AEAb1 and AEAb2
7995 C Calculate the vectors and their derivatives in virtual-bond dihedral angles.
7996 C They are needed only when the fifth- or the sixth-order cumulants are
7997 C indluded.
7998         IF (wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0) THEN
7999         call transpose2(AEA(1,1,1),auxmat(1,1))
8000         call matvec2(auxmat(1,1),b1(1,iti),AEAb1(1,1,1))
8001         call matvec2(auxmat(1,1),Ub2(1,i),AEAb2(1,1,1))
8002         call matvec2(auxmat(1,1),Ub2der(1,i),AEAb2derg(1,2,1,1))
8003         call transpose2(AEAderg(1,1,1),auxmat(1,1))
8004         call matvec2(auxmat(1,1),b1(1,iti),AEAb1derg(1,1,1))
8005         call matvec2(auxmat(1,1),Ub2(1,i),AEAb2derg(1,1,1,1))
8006         call matvec2(AEA(1,1,1),b1(1,itk1),AEAb1(1,2,1))
8007         call matvec2(AEAderg(1,1,1),b1(1,itk1),AEAb1derg(1,2,1))
8008         call matvec2(AEA(1,1,1),Ub2(1,k+1),AEAb2(1,2,1))
8009         call matvec2(AEAderg(1,1,1),Ub2(1,k+1),AEAb2derg(1,1,2,1))
8010         call matvec2(AEA(1,1,1),Ub2der(1,k+1),AEAb2derg(1,2,2,1))
8011         call transpose2(AEA(1,1,2),auxmat(1,1))
8012         call matvec2(auxmat(1,1),b1(1,itj),AEAb1(1,1,2))
8013         call matvec2(auxmat(1,1),Ub2(1,j),AEAb2(1,1,2))
8014         call matvec2(auxmat(1,1),Ub2der(1,j),AEAb2derg(1,2,1,2))
8015         call transpose2(AEAderg(1,1,2),auxmat(1,1))
8016         call matvec2(auxmat(1,1),b1(1,itj),AEAb1derg(1,1,2))
8017         call matvec2(auxmat(1,1),Ub2(1,j),AEAb2derg(1,1,1,2))
8018         call matvec2(AEA(1,1,2),b1(1,itl1),AEAb1(1,2,2))
8019         call matvec2(AEAderg(1,1,2),b1(1,itl1),AEAb1derg(1,2,2))
8020         call matvec2(AEA(1,1,2),Ub2(1,l+1),AEAb2(1,2,2))
8021         call matvec2(AEAderg(1,1,2),Ub2(1,l+1),AEAb2derg(1,1,2,2))
8022         call matvec2(AEA(1,1,2),Ub2der(1,l+1),AEAb2derg(1,2,2,2))
8023 C Calculate the Cartesian derivatives of the vectors.
8024         do iii=1,2
8025           do kkk=1,5
8026             do lll=1,3
8027               call transpose2(AEAderx(1,1,lll,kkk,iii,1),auxmat(1,1))
8028               call matvec2(auxmat(1,1),b1(1,iti),
8029      &          AEAb1derx(1,lll,kkk,iii,1,1))
8030               call matvec2(auxmat(1,1),Ub2(1,i),
8031      &          AEAb2derx(1,lll,kkk,iii,1,1))
8032               call matvec2(AEAderx(1,1,lll,kkk,iii,1),b1(1,itk1),
8033      &          AEAb1derx(1,lll,kkk,iii,2,1))
8034               call matvec2(AEAderx(1,1,lll,kkk,iii,1),Ub2(1,k+1),
8035      &          AEAb2derx(1,lll,kkk,iii,2,1))
8036               call transpose2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1))
8037               call matvec2(auxmat(1,1),b1(1,itj),
8038      &          AEAb1derx(1,lll,kkk,iii,1,2))
8039               call matvec2(auxmat(1,1),Ub2(1,j),
8040      &          AEAb2derx(1,lll,kkk,iii,1,2))
8041               call matvec2(AEAderx(1,1,lll,kkk,iii,2),b1(1,itl1),
8042      &          AEAb1derx(1,lll,kkk,iii,2,2))
8043               call matvec2(AEAderx(1,1,lll,kkk,iii,2),Ub2(1,l+1),
8044      &          AEAb2derx(1,lll,kkk,iii,2,2))
8045             enddo
8046           enddo
8047         enddo
8048         ENDIF
8049 C End vectors
8050       else
8051 C Antiparallel orientation of the two CA-CA-CA frames.
8052         if (i.gt.1) then
8053           iti=itortyp(itype(i))
8054         else
8055           iti=ntortyp+1
8056         endif
8057         itk1=itortyp(itype(k+1))
8058         itl=itortyp(itype(l))
8059         itj=itortyp(itype(j))
8060         if (j.lt.nres-1) then
8061           itj1=itortyp(itype(j+1))
8062         else 
8063           itj1=ntortyp+1
8064         endif
8065 C A2 kernel(j-1)T A1T
8066         call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
8067      &   aa2tder(1,1,1,1),1,.true.,EUg(1,1,j),EUgder(1,1,j),
8068      &   AEA(1,1,1),AEAderg(1,1,1),AEAderx(1,1,1,1,1,1))
8069 C Following matrices are needed only for 6-th order cumulants
8070         IF (wcorr6.gt.0.0d0 .or. (wturn6.gt.0.0d0 .and.
8071      &     j.eq.i+4 .and. l.eq.i+3)) THEN
8072         call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
8073      &   aa2tder(1,1,1,1),1,.true.,EUgC(1,1,j),EUgCder(1,1,j),
8074      &   AECA(1,1,1),AECAderg(1,1,1),AECAderx(1,1,1,1,1,1))
8075         call kernel(aa2(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
8076      &   aa2tder(1,1,1,1),2,.true.,Ug2DtEUg(1,1,j),
8077      &   Ug2DtEUgder(1,1,1,j),ADtEA(1,1,1),ADtEAderg(1,1,1,1),
8078      &   ADtEAderx(1,1,1,1,1,1))
8079         call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
8080      &   aa2tder(1,1,1,1),2,.true.,DtUg2EUg(1,1,j),
8081      &   DtUg2EUgder(1,1,1,j),ADtEA1(1,1,1),ADtEA1derg(1,1,1,1),
8082      &   ADtEA1derx(1,1,1,1,1,1))
8083         ENDIF
8084 C End 6-th order cumulants
8085         call transpose2(EUgder(1,1,k),auxmat(1,1))
8086         call matmat2(auxmat(1,1),AEA(1,1,1),EAEAderg(1,1,1,1))
8087         call transpose2(EUg(1,1,k),auxmat(1,1))
8088         call matmat2(auxmat(1,1),AEA(1,1,1),EAEA(1,1,1))
8089         call matmat2(auxmat(1,1),AEAderg(1,1,1),EAEAderg(1,1,2,1))
8090         do iii=1,2
8091           do kkk=1,5
8092             do lll=1,3
8093               call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,1),
8094      &          EAEAderx(1,1,lll,kkk,iii,1))
8095             enddo
8096           enddo
8097         enddo
8098 C A2T kernel(i+1)T A1
8099         call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
8100      &   a_chuj_der(1,1,1,1,jj,i),1,.true.,EUg(1,1,k),EUgder(1,1,k),
8101      &   AEA(1,1,2),AEAderg(1,1,2),AEAderx(1,1,1,1,1,2))
8102 C Following matrices are needed only for 6-th order cumulants
8103         IF (wcorr6.gt.0.0d0 .or. (wturn6.gt.0.0d0 .and.
8104      &     j.eq.i+4 .and. l.eq.i+3)) THEN
8105         call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
8106      &   a_chuj_der(1,1,1,1,jj,i),1,.true.,EUgC(1,1,k),EUgCder(1,1,k),
8107      &   AECA(1,1,2),AECAderg(1,1,2),AECAderx(1,1,1,1,1,2))
8108         call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
8109      &   a_chuj_der(1,1,1,1,jj,i),2,.true.,Ug2DtEUg(1,1,k),
8110      &   Ug2DtEUgder(1,1,1,k),ADtEA(1,1,2),ADtEAderg(1,1,1,2),
8111      &   ADtEAderx(1,1,1,1,1,2))
8112         call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
8113      &   a_chuj_der(1,1,1,1,jj,i),2,.true.,DtUg2EUg(1,1,k),
8114      &   DtUg2EUgder(1,1,1,k),ADtEA1(1,1,2),ADtEA1derg(1,1,1,2),
8115      &   ADtEA1derx(1,1,1,1,1,2))
8116         ENDIF
8117 C End 6-th order cumulants
8118         call transpose2(EUgder(1,1,j),auxmat(1,1))
8119         call matmat2(auxmat(1,1),AEA(1,1,1),EAEAderg(1,1,2,2))
8120         call transpose2(EUg(1,1,j),auxmat(1,1))
8121         call matmat2(auxmat(1,1),AEA(1,1,2),EAEA(1,1,2))
8122         call matmat2(auxmat(1,1),AEAderg(1,1,2),EAEAderg(1,1,2,2))
8123         do iii=1,2
8124           do kkk=1,5
8125             do lll=1,3
8126               call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
8127      &          EAEAderx(1,1,lll,kkk,iii,2))
8128             enddo
8129           enddo
8130         enddo
8131 C AEAb1 and AEAb2
8132 C Calculate the vectors and their derivatives in virtual-bond dihedral angles.
8133 C They are needed only when the fifth- or the sixth-order cumulants are
8134 C indluded.
8135         IF (wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0 .or.
8136      &    (wturn6.gt.0.0d0 .and. j.eq.i+4 .and. l.eq.i+3)) THEN
8137         call transpose2(AEA(1,1,1),auxmat(1,1))
8138         call matvec2(auxmat(1,1),b1(1,iti),AEAb1(1,1,1))
8139         call matvec2(auxmat(1,1),Ub2(1,i),AEAb2(1,1,1))
8140         call matvec2(auxmat(1,1),Ub2der(1,i),AEAb2derg(1,2,1,1))
8141         call transpose2(AEAderg(1,1,1),auxmat(1,1))
8142         call matvec2(auxmat(1,1),b1(1,iti),AEAb1derg(1,1,1))
8143         call matvec2(auxmat(1,1),Ub2(1,i),AEAb2derg(1,1,1,1))
8144         call matvec2(AEA(1,1,1),b1(1,itk1),AEAb1(1,2,1))
8145         call matvec2(AEAderg(1,1,1),b1(1,itk1),AEAb1derg(1,2,1))
8146         call matvec2(AEA(1,1,1),Ub2(1,k+1),AEAb2(1,2,1))
8147         call matvec2(AEAderg(1,1,1),Ub2(1,k+1),AEAb2derg(1,1,2,1))
8148         call matvec2(AEA(1,1,1),Ub2der(1,k+1),AEAb2derg(1,2,2,1))
8149         call transpose2(AEA(1,1,2),auxmat(1,1))
8150         call matvec2(auxmat(1,1),b1(1,itj1),AEAb1(1,1,2))
8151         call matvec2(auxmat(1,1),Ub2(1,l),AEAb2(1,1,2))
8152         call matvec2(auxmat(1,1),Ub2der(1,l),AEAb2derg(1,2,1,2))
8153         call transpose2(AEAderg(1,1,2),auxmat(1,1))
8154         call matvec2(auxmat(1,1),b1(1,itl),AEAb1(1,1,2))
8155         call matvec2(auxmat(1,1),Ub2(1,l),AEAb2derg(1,1,1,2))
8156         call matvec2(AEA(1,1,2),b1(1,itj1),AEAb1(1,2,2))
8157         call matvec2(AEAderg(1,1,2),b1(1,itj1),AEAb1derg(1,2,2))
8158         call matvec2(AEA(1,1,2),Ub2(1,j),AEAb2(1,2,2))
8159         call matvec2(AEAderg(1,1,2),Ub2(1,j),AEAb2derg(1,1,2,2))
8160         call matvec2(AEA(1,1,2),Ub2der(1,j),AEAb2derg(1,2,2,2))
8161 C Calculate the Cartesian derivatives of the vectors.
8162         do iii=1,2
8163           do kkk=1,5
8164             do lll=1,3
8165               call transpose2(AEAderx(1,1,lll,kkk,iii,1),auxmat(1,1))
8166               call matvec2(auxmat(1,1),b1(1,iti),
8167      &          AEAb1derx(1,lll,kkk,iii,1,1))
8168               call matvec2(auxmat(1,1),Ub2(1,i),
8169      &          AEAb2derx(1,lll,kkk,iii,1,1))
8170               call matvec2(AEAderx(1,1,lll,kkk,iii,1),b1(1,itk1),
8171      &          AEAb1derx(1,lll,kkk,iii,2,1))
8172               call matvec2(AEAderx(1,1,lll,kkk,iii,1),Ub2(1,k+1),
8173      &          AEAb2derx(1,lll,kkk,iii,2,1))
8174               call transpose2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1))
8175               call matvec2(auxmat(1,1),b1(1,itl),
8176      &          AEAb1derx(1,lll,kkk,iii,1,2))
8177               call matvec2(auxmat(1,1),Ub2(1,l),
8178      &          AEAb2derx(1,lll,kkk,iii,1,2))
8179               call matvec2(AEAderx(1,1,lll,kkk,iii,2),b1(1,itj1),
8180      &          AEAb1derx(1,lll,kkk,iii,2,2))
8181               call matvec2(AEAderx(1,1,lll,kkk,iii,2),Ub2(1,j),
8182      &          AEAb2derx(1,lll,kkk,iii,2,2))
8183             enddo
8184           enddo
8185         enddo
8186         ENDIF
8187 C End vectors
8188       endif
8189       return
8190       end
8191 C---------------------------------------------------------------------------
8192       subroutine kernel(aa1,aa2t,aa1derx,aa2tderx,nderg,transp,
8193      &  KK,KKderg,AKA,AKAderg,AKAderx)
8194       implicit none
8195       integer nderg
8196       logical transp
8197       double precision aa1(2,2),aa2t(2,2),aa1derx(2,2,3,5),
8198      &  aa2tderx(2,2,3,5),KK(2,2),KKderg(2,2,nderg),AKA(2,2),
8199      &  AKAderg(2,2,nderg),AKAderx(2,2,3,5,2)
8200       integer iii,kkk,lll
8201       integer jjj,mmm
8202       logical lprn
8203       common /kutas/ lprn
8204       call prodmat3(aa1(1,1),aa2t(1,1),KK(1,1),transp,AKA(1,1))
8205       do iii=1,nderg 
8206         call prodmat3(aa1(1,1),aa2t(1,1),KKderg(1,1,iii),transp,
8207      &    AKAderg(1,1,iii))
8208       enddo
8209 cd      if (lprn) write (2,*) 'In kernel'
8210       do kkk=1,5
8211 cd        if (lprn) write (2,*) 'kkk=',kkk
8212         do lll=1,3
8213           call prodmat3(aa1derx(1,1,lll,kkk),aa2t(1,1),
8214      &      KK(1,1),transp,AKAderx(1,1,lll,kkk,1))
8215 cd          if (lprn) then
8216 cd            write (2,*) 'lll=',lll
8217 cd            write (2,*) 'iii=1'
8218 cd            do jjj=1,2
8219 cd              write (2,'(3(2f10.5),5x)') 
8220 cd     &        (AKAderx(jjj,mmm,lll,kkk,1),mmm=1,2)
8221 cd            enddo
8222 cd          endif
8223           call prodmat3(aa1(1,1),aa2tderx(1,1,lll,kkk),
8224      &      KK(1,1),transp,AKAderx(1,1,lll,kkk,2))
8225 cd          if (lprn) then
8226 cd            write (2,*) 'lll=',lll
8227 cd            write (2,*) 'iii=2'
8228 cd            do jjj=1,2
8229 cd              write (2,'(3(2f10.5),5x)') 
8230 cd     &        (AKAderx(jjj,mmm,lll,kkk,2),mmm=1,2)
8231 cd            enddo
8232 cd          endif
8233         enddo
8234       enddo
8235       return
8236       end
8237 C---------------------------------------------------------------------------
8238       double precision function eello4(i,j,k,l,jj,kk)
8239       implicit real*8 (a-h,o-z)
8240       include 'DIMENSIONS'
8241       include 'COMMON.IOUNITS'
8242       include 'COMMON.CHAIN'
8243       include 'COMMON.DERIV'
8244       include 'COMMON.INTERACT'
8245       include 'COMMON.CONTACTS'
8246       include 'COMMON.TORSION'
8247       include 'COMMON.VAR'
8248       include 'COMMON.GEO'
8249       double precision pizda(2,2),ggg1(3),ggg2(3)
8250 cd      if (i.ne.1 .or. j.ne.5 .or. k.ne.2 .or.l.ne.4) then
8251 cd        eello4=0.0d0
8252 cd        return
8253 cd      endif
8254 cd      print *,'eello4:',i,j,k,l,jj,kk
8255 cd      write (2,*) 'i',i,' j',j,' k',k,' l',l
8256 cd      call checkint4(i,j,k,l,jj,kk,eel4_num)
8257 cold      eij=facont_hb(jj,i)
8258 cold      ekl=facont_hb(kk,k)
8259 cold      ekont=eij*ekl
8260       eel4=-EAEA(1,1,1)-EAEA(2,2,1)
8261 cd      eel41=-EAEA(1,1,2)-EAEA(2,2,2)
8262       gcorr_loc(k-1)=gcorr_loc(k-1)
8263      &   -ekont*(EAEAderg(1,1,1,1)+EAEAderg(2,2,1,1))
8264       if (l.eq.j+1) then
8265         gcorr_loc(l-1)=gcorr_loc(l-1)
8266      &     -ekont*(EAEAderg(1,1,2,1)+EAEAderg(2,2,2,1))
8267       else
8268         gcorr_loc(j-1)=gcorr_loc(j-1)
8269      &     -ekont*(EAEAderg(1,1,2,1)+EAEAderg(2,2,2,1))
8270       endif
8271       do iii=1,2
8272         do kkk=1,5
8273           do lll=1,3
8274             derx(lll,kkk,iii)=-EAEAderx(1,1,lll,kkk,iii,1)
8275      &                        -EAEAderx(2,2,lll,kkk,iii,1)
8276 cd            derx(lll,kkk,iii)=0.0d0
8277           enddo
8278         enddo
8279       enddo
8280 cd      gcorr_loc(l-1)=0.0d0
8281 cd      gcorr_loc(j-1)=0.0d0
8282 cd      gcorr_loc(k-1)=0.0d0
8283 cd      eel4=1.0d0
8284 cd      write (iout,*)'Contacts have occurred for peptide groups',
8285 cd     &  i,j,' fcont:',eij,' eij',' and ',k,l,
8286 cd     &  ' fcont ',ekl,' eel4=',eel4,' eel4_num',16*eel4_num
8287       if (j.lt.nres-1) then
8288         j1=j+1
8289         j2=j-1
8290       else
8291         j1=j-1
8292         j2=j-2
8293       endif
8294       if (l.lt.nres-1) then
8295         l1=l+1
8296         l2=l-1
8297       else
8298         l1=l-1
8299         l2=l-2
8300       endif
8301       do ll=1,3
8302 cgrad        ggg1(ll)=eel4*g_contij(ll,1)
8303 cgrad        ggg2(ll)=eel4*g_contij(ll,2)
8304         glongij=eel4*g_contij(ll,1)+ekont*derx(ll,1,1)
8305         glongkl=eel4*g_contij(ll,2)+ekont*derx(ll,1,2)
8306 cgrad        ghalf=0.5d0*ggg1(ll)
8307         gradcorr(ll,i)=gradcorr(ll,i)+ekont*derx(ll,2,1)
8308         gradcorr(ll,i+1)=gradcorr(ll,i+1)+ekont*derx(ll,3,1)
8309         gradcorr(ll,j)=gradcorr(ll,j)+ekont*derx(ll,4,1)
8310         gradcorr(ll,j1)=gradcorr(ll,j1)+ekont*derx(ll,5,1)
8311         gradcorr_long(ll,j)=gradcorr_long(ll,j)+glongij
8312         gradcorr_long(ll,i)=gradcorr_long(ll,i)-glongij
8313 cgrad        ghalf=0.5d0*ggg2(ll)
8314         gradcorr(ll,k)=gradcorr(ll,k)+ekont*derx(ll,2,2)
8315         gradcorr(ll,k+1)=gradcorr(ll,k+1)+ekont*derx(ll,3,2)
8316         gradcorr(ll,l)=gradcorr(ll,l)+ekont*derx(ll,4,2)
8317         gradcorr(ll,l1)=gradcorr(ll,l1)+ekont*derx(ll,5,2)
8318         gradcorr_long(ll,l)=gradcorr_long(ll,l)+glongkl
8319         gradcorr_long(ll,k)=gradcorr_long(ll,k)-glongkl
8320       enddo
8321 cgrad      do m=i+1,j-1
8322 cgrad        do ll=1,3
8323 cgrad          gradcorr(ll,m)=gradcorr(ll,m)+ggg1(ll)
8324 cgrad        enddo
8325 cgrad      enddo
8326 cgrad      do m=k+1,l-1
8327 cgrad        do ll=1,3
8328 cgrad          gradcorr(ll,m)=gradcorr(ll,m)+ggg2(ll)
8329 cgrad        enddo
8330 cgrad      enddo
8331 cgrad      do m=i+2,j2
8332 cgrad        do ll=1,3
8333 cgrad          gradcorr(ll,m)=gradcorr(ll,m)+ekont*derx(ll,1,1)
8334 cgrad        enddo
8335 cgrad      enddo
8336 cgrad      do m=k+2,l2
8337 cgrad        do ll=1,3
8338 cgrad          gradcorr(ll,m)=gradcorr(ll,m)+ekont*derx(ll,1,2)
8339 cgrad        enddo
8340 cgrad      enddo 
8341 cd      do iii=1,nres-3
8342 cd        write (2,*) iii,gcorr_loc(iii)
8343 cd      enddo
8344       eello4=ekont*eel4
8345 cd      write (2,*) 'ekont',ekont
8346 cd      write (iout,*) 'eello4',ekont*eel4
8347       return
8348       end
8349 C---------------------------------------------------------------------------
8350       double precision function eello5(i,j,k,l,jj,kk)
8351       implicit real*8 (a-h,o-z)
8352       include 'DIMENSIONS'
8353       include 'COMMON.IOUNITS'
8354       include 'COMMON.CHAIN'
8355       include 'COMMON.DERIV'
8356       include 'COMMON.INTERACT'
8357       include 'COMMON.CONTACTS'
8358       include 'COMMON.TORSION'
8359       include 'COMMON.VAR'
8360       include 'COMMON.GEO'
8361       double precision pizda(2,2),auxmat(2,2),auxmat1(2,2),vv(2)
8362       double precision ggg1(3),ggg2(3)
8363 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8364 C                                                                              C
8365 C                            Parallel chains                                   C
8366 C                                                                              C
8367 C          o             o                   o             o                   C
8368 C         /l\           / \             \   / \           / \   /              C
8369 C        /   \         /   \             \ /   \         /   \ /               C
8370 C       j| o |l1       | o |              o| o |         | o |o                C
8371 C     \  |/k\|         |/ \|  /            |/ \|         |/ \|                 C
8372 C      \i/   \         /   \ /             /   \         /   \                 C
8373 C       o    k1             o                                                  C
8374 C         (I)          (II)                (III)          (IV)                 C
8375 C                                                                              C
8376 C      eello5_1        eello5_2            eello5_3       eello5_4             C
8377 C                                                                              C
8378 C                            Antiparallel chains                               C
8379 C                                                                              C
8380 C          o             o                   o             o                   C
8381 C         /j\           / \             \   / \           / \   /              C
8382 C        /   \         /   \             \ /   \         /   \ /               C
8383 C      j1| o |l        | o |              o| o |         | o |o                C
8384 C     \  |/k\|         |/ \|  /            |/ \|         |/ \|                 C
8385 C      \i/   \         /   \ /             /   \         /   \                 C
8386 C       o     k1            o                                                  C
8387 C         (I)          (II)                (III)          (IV)                 C
8388 C                                                                              C
8389 C      eello5_1        eello5_2            eello5_3       eello5_4             C
8390 C                                                                              C
8391 C o denotes a local interaction, vertical lines an electrostatic interaction.  C
8392 C                                                                              C
8393 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8394 cd      if (i.ne.2 .or. j.ne.6 .or. k.ne.3 .or. l.ne.5) then
8395 cd        eello5=0.0d0
8396 cd        return
8397 cd      endif
8398 cd      write (iout,*)
8399 cd     &   'EELLO5: Contacts have occurred for peptide groups',i,j,
8400 cd     &   ' and',k,l
8401       itk=itortyp(itype(k))
8402       itl=itortyp(itype(l))
8403       itj=itortyp(itype(j))
8404       eello5_1=0.0d0
8405       eello5_2=0.0d0
8406       eello5_3=0.0d0
8407       eello5_4=0.0d0
8408 cd      call checkint5(i,j,k,l,jj,kk,eel5_1_num,eel5_2_num,
8409 cd     &   eel5_3_num,eel5_4_num)
8410       do iii=1,2
8411         do kkk=1,5
8412           do lll=1,3
8413             derx(lll,kkk,iii)=0.0d0
8414           enddo
8415         enddo
8416       enddo
8417 cd      eij=facont_hb(jj,i)
8418 cd      ekl=facont_hb(kk,k)
8419 cd      ekont=eij*ekl
8420 cd      write (iout,*)'Contacts have occurred for peptide groups',
8421 cd     &  i,j,' fcont:',eij,' eij',' and ',k,l
8422 cd      goto 1111
8423 C Contribution from the graph I.
8424 cd      write (2,*) 'AEA  ',AEA(1,1,1),AEA(2,1,1),AEA(1,2,1),AEA(2,2,1)
8425 cd      write (2,*) 'AEAb2',AEAb2(1,1,1),AEAb2(2,1,1)
8426       call transpose2(EUg(1,1,k),auxmat(1,1))
8427       call matmat2(AEA(1,1,1),auxmat(1,1),pizda(1,1))
8428       vv(1)=pizda(1,1)-pizda(2,2)
8429       vv(2)=pizda(1,2)+pizda(2,1)
8430       eello5_1=scalar2(AEAb2(1,1,1),Ub2(1,k))
8431      & +0.5d0*scalar2(vv(1),Dtobr2(1,i))
8432 C Explicit gradient in virtual-dihedral angles.
8433       if (i.gt.1) g_corr5_loc(i-1)=g_corr5_loc(i-1)
8434      & +ekont*(scalar2(AEAb2derg(1,2,1,1),Ub2(1,k))
8435      & +0.5d0*scalar2(vv(1),Dtobr2der(1,i)))
8436       call transpose2(EUgder(1,1,k),auxmat1(1,1))
8437       call matmat2(AEA(1,1,1),auxmat1(1,1),pizda(1,1))
8438       vv(1)=pizda(1,1)-pizda(2,2)
8439       vv(2)=pizda(1,2)+pizda(2,1)
8440       g_corr5_loc(k-1)=g_corr5_loc(k-1)
8441      & +ekont*(scalar2(AEAb2(1,1,1),Ub2der(1,k))
8442      & +0.5d0*scalar2(vv(1),Dtobr2(1,i)))
8443       call matmat2(AEAderg(1,1,1),auxmat(1,1),pizda(1,1))
8444       vv(1)=pizda(1,1)-pizda(2,2)
8445       vv(2)=pizda(1,2)+pizda(2,1)
8446       if (l.eq.j+1) then
8447         if (l.lt.nres-1) g_corr5_loc(l-1)=g_corr5_loc(l-1)
8448      &   +ekont*(scalar2(AEAb2derg(1,1,1,1),Ub2(1,k))
8449      &   +0.5d0*scalar2(vv(1),Dtobr2(1,i)))
8450       else
8451         if (j.lt.nres-1) g_corr5_loc(j-1)=g_corr5_loc(j-1)
8452      &   +ekont*(scalar2(AEAb2derg(1,1,1,1),Ub2(1,k))
8453      &   +0.5d0*scalar2(vv(1),Dtobr2(1,i)))
8454       endif 
8455 C Cartesian gradient
8456       do iii=1,2
8457         do kkk=1,5
8458           do lll=1,3
8459             call matmat2(AEAderx(1,1,lll,kkk,iii,1),auxmat(1,1),
8460      &        pizda(1,1))
8461             vv(1)=pizda(1,1)-pizda(2,2)
8462             vv(2)=pizda(1,2)+pizda(2,1)
8463             derx(lll,kkk,iii)=derx(lll,kkk,iii)
8464      &       +scalar2(AEAb2derx(1,lll,kkk,iii,1,1),Ub2(1,k))
8465      &       +0.5d0*scalar2(vv(1),Dtobr2(1,i))
8466           enddo
8467         enddo
8468       enddo
8469 c      goto 1112
8470 c1111  continue
8471 C Contribution from graph II 
8472       call transpose2(EE(1,1,itk),auxmat(1,1))
8473       call matmat2(auxmat(1,1),AEA(1,1,1),pizda(1,1))
8474       vv(1)=pizda(1,1)+pizda(2,2)
8475       vv(2)=pizda(2,1)-pizda(1,2)
8476       eello5_2=scalar2(AEAb1(1,2,1),b1(1,itk))
8477      & -0.5d0*scalar2(vv(1),Ctobr(1,k))
8478 C Explicit gradient in virtual-dihedral angles.
8479       g_corr5_loc(k-1)=g_corr5_loc(k-1)
8480      & -0.5d0*ekont*scalar2(vv(1),Ctobrder(1,k))
8481       call matmat2(auxmat(1,1),AEAderg(1,1,1),pizda(1,1))
8482       vv(1)=pizda(1,1)+pizda(2,2)
8483       vv(2)=pizda(2,1)-pizda(1,2)
8484       if (l.eq.j+1) then
8485         g_corr5_loc(l-1)=g_corr5_loc(l-1)
8486      &   +ekont*(scalar2(AEAb1derg(1,2,1),b1(1,itk))
8487      &   -0.5d0*scalar2(vv(1),Ctobr(1,k)))
8488       else
8489         g_corr5_loc(j-1)=g_corr5_loc(j-1)
8490      &   +ekont*(scalar2(AEAb1derg(1,2,1),b1(1,itk))
8491      &   -0.5d0*scalar2(vv(1),Ctobr(1,k)))
8492       endif
8493 C Cartesian gradient
8494       do iii=1,2
8495         do kkk=1,5
8496           do lll=1,3
8497             call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,1),
8498      &        pizda(1,1))
8499             vv(1)=pizda(1,1)+pizda(2,2)
8500             vv(2)=pizda(2,1)-pizda(1,2)
8501             derx(lll,kkk,iii)=derx(lll,kkk,iii)
8502      &       +scalar2(AEAb1derx(1,lll,kkk,iii,2,1),b1(1,itk))
8503      &       -0.5d0*scalar2(vv(1),Ctobr(1,k))
8504           enddo
8505         enddo
8506       enddo
8507 cd      goto 1112
8508 cd1111  continue
8509       if (l.eq.j+1) then
8510 cd        goto 1110
8511 C Parallel orientation
8512 C Contribution from graph III
8513         call transpose2(EUg(1,1,l),auxmat(1,1))
8514         call matmat2(AEA(1,1,2),auxmat(1,1),pizda(1,1))
8515         vv(1)=pizda(1,1)-pizda(2,2)
8516         vv(2)=pizda(1,2)+pizda(2,1)
8517         eello5_3=scalar2(AEAb2(1,1,2),Ub2(1,l))
8518      &   +0.5d0*scalar2(vv(1),Dtobr2(1,j))
8519 C Explicit gradient in virtual-dihedral angles.
8520         g_corr5_loc(j-1)=g_corr5_loc(j-1)
8521      &   +ekont*(scalar2(AEAb2derg(1,2,1,2),Ub2(1,l))
8522      &   +0.5d0*scalar2(vv(1),Dtobr2der(1,j)))
8523         call matmat2(AEAderg(1,1,2),auxmat(1,1),pizda(1,1))
8524         vv(1)=pizda(1,1)-pizda(2,2)
8525         vv(2)=pizda(1,2)+pizda(2,1)
8526         g_corr5_loc(k-1)=g_corr5_loc(k-1)
8527      &   +ekont*(scalar2(AEAb2derg(1,1,1,2),Ub2(1,l))
8528      &   +0.5d0*scalar2(vv(1),Dtobr2(1,j)))
8529         call transpose2(EUgder(1,1,l),auxmat1(1,1))
8530         call matmat2(AEA(1,1,2),auxmat1(1,1),pizda(1,1))
8531         vv(1)=pizda(1,1)-pizda(2,2)
8532         vv(2)=pizda(1,2)+pizda(2,1)
8533         g_corr5_loc(l-1)=g_corr5_loc(l-1)
8534      &   +ekont*(scalar2(AEAb2(1,1,2),Ub2der(1,l))
8535      &   +0.5d0*scalar2(vv(1),Dtobr2(1,j)))
8536 C Cartesian gradient
8537         do iii=1,2
8538           do kkk=1,5
8539             do lll=1,3
8540               call matmat2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1),
8541      &          pizda(1,1))
8542               vv(1)=pizda(1,1)-pizda(2,2)
8543               vv(2)=pizda(1,2)+pizda(2,1)
8544               derx(lll,kkk,iii)=derx(lll,kkk,iii)
8545      &         +scalar2(AEAb2derx(1,lll,kkk,iii,1,2),Ub2(1,l))
8546      &         +0.5d0*scalar2(vv(1),Dtobr2(1,j))
8547             enddo
8548           enddo
8549         enddo
8550 cd        goto 1112
8551 C Contribution from graph IV
8552 cd1110    continue
8553         call transpose2(EE(1,1,itl),auxmat(1,1))
8554         call matmat2(auxmat(1,1),AEA(1,1,2),pizda(1,1))
8555         vv(1)=pizda(1,1)+pizda(2,2)
8556         vv(2)=pizda(2,1)-pizda(1,2)
8557         eello5_4=scalar2(AEAb1(1,2,2),b1(1,itl))
8558      &   -0.5d0*scalar2(vv(1),Ctobr(1,l))
8559 C Explicit gradient in virtual-dihedral angles.
8560         g_corr5_loc(l-1)=g_corr5_loc(l-1)
8561      &   -0.5d0*ekont*scalar2(vv(1),Ctobrder(1,l))
8562         call matmat2(auxmat(1,1),AEAderg(1,1,2),pizda(1,1))
8563         vv(1)=pizda(1,1)+pizda(2,2)
8564         vv(2)=pizda(2,1)-pizda(1,2)
8565         g_corr5_loc(k-1)=g_corr5_loc(k-1)
8566      &   +ekont*(scalar2(AEAb1derg(1,2,2),b1(1,itl))
8567      &   -0.5d0*scalar2(vv(1),Ctobr(1,l)))
8568 C Cartesian gradient
8569         do iii=1,2
8570           do kkk=1,5
8571             do lll=1,3
8572               call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
8573      &          pizda(1,1))
8574               vv(1)=pizda(1,1)+pizda(2,2)
8575               vv(2)=pizda(2,1)-pizda(1,2)
8576               derx(lll,kkk,iii)=derx(lll,kkk,iii)
8577      &         +scalar2(AEAb1derx(1,lll,kkk,iii,2,2),b1(1,itl))
8578      &         -0.5d0*scalar2(vv(1),Ctobr(1,l))
8579             enddo
8580           enddo
8581         enddo
8582       else
8583 C Antiparallel orientation
8584 C Contribution from graph III
8585 c        goto 1110
8586         call transpose2(EUg(1,1,j),auxmat(1,1))
8587         call matmat2(AEA(1,1,2),auxmat(1,1),pizda(1,1))
8588         vv(1)=pizda(1,1)-pizda(2,2)
8589         vv(2)=pizda(1,2)+pizda(2,1)
8590         eello5_3=scalar2(AEAb2(1,1,2),Ub2(1,j))
8591      &   +0.5d0*scalar2(vv(1),Dtobr2(1,l))
8592 C Explicit gradient in virtual-dihedral angles.
8593         g_corr5_loc(l-1)=g_corr5_loc(l-1)
8594      &   +ekont*(scalar2(AEAb2derg(1,2,1,2),Ub2(1,j))
8595      &   +0.5d0*scalar2(vv(1),Dtobr2der(1,l)))
8596         call matmat2(AEAderg(1,1,2),auxmat(1,1),pizda(1,1))
8597         vv(1)=pizda(1,1)-pizda(2,2)
8598         vv(2)=pizda(1,2)+pizda(2,1)
8599         g_corr5_loc(k-1)=g_corr5_loc(k-1)
8600      &   +ekont*(scalar2(AEAb2derg(1,1,1,2),Ub2(1,j))
8601      &   +0.5d0*scalar2(vv(1),Dtobr2(1,l)))
8602         call transpose2(EUgder(1,1,j),auxmat1(1,1))
8603         call matmat2(AEA(1,1,2),auxmat1(1,1),pizda(1,1))
8604         vv(1)=pizda(1,1)-pizda(2,2)
8605         vv(2)=pizda(1,2)+pizda(2,1)
8606         g_corr5_loc(j-1)=g_corr5_loc(j-1)
8607      &   +ekont*(scalar2(AEAb2(1,1,2),Ub2der(1,j))
8608      &   +0.5d0*scalar2(vv(1),Dtobr2(1,l)))
8609 C Cartesian gradient
8610         do iii=1,2
8611           do kkk=1,5
8612             do lll=1,3
8613               call matmat2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1),
8614      &          pizda(1,1))
8615               vv(1)=pizda(1,1)-pizda(2,2)
8616               vv(2)=pizda(1,2)+pizda(2,1)
8617               derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)
8618      &         +scalar2(AEAb2derx(1,lll,kkk,iii,1,2),Ub2(1,j))
8619      &         +0.5d0*scalar2(vv(1),Dtobr2(1,l))
8620             enddo
8621           enddo
8622         enddo
8623 cd        goto 1112
8624 C Contribution from graph IV
8625 1110    continue
8626         call transpose2(EE(1,1,itj),auxmat(1,1))
8627         call matmat2(auxmat(1,1),AEA(1,1,2),pizda(1,1))
8628         vv(1)=pizda(1,1)+pizda(2,2)
8629         vv(2)=pizda(2,1)-pizda(1,2)
8630         eello5_4=scalar2(AEAb1(1,2,2),b1(1,itj))
8631      &   -0.5d0*scalar2(vv(1),Ctobr(1,j))
8632 C Explicit gradient in virtual-dihedral angles.
8633         g_corr5_loc(j-1)=g_corr5_loc(j-1)
8634      &   -0.5d0*ekont*scalar2(vv(1),Ctobrder(1,j))
8635         call matmat2(auxmat(1,1),AEAderg(1,1,2),pizda(1,1))
8636         vv(1)=pizda(1,1)+pizda(2,2)
8637         vv(2)=pizda(2,1)-pizda(1,2)
8638         g_corr5_loc(k-1)=g_corr5_loc(k-1)
8639      &   +ekont*(scalar2(AEAb1derg(1,2,2),b1(1,itj))
8640      &   -0.5d0*scalar2(vv(1),Ctobr(1,j)))
8641 C Cartesian gradient
8642         do iii=1,2
8643           do kkk=1,5
8644             do lll=1,3
8645               call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
8646      &          pizda(1,1))
8647               vv(1)=pizda(1,1)+pizda(2,2)
8648               vv(2)=pizda(2,1)-pizda(1,2)
8649               derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)
8650      &         +scalar2(AEAb1derx(1,lll,kkk,iii,2,2),b1(1,itj))
8651      &         -0.5d0*scalar2(vv(1),Ctobr(1,j))
8652             enddo
8653           enddo
8654         enddo
8655       endif
8656 1112  continue
8657       eel5=eello5_1+eello5_2+eello5_3+eello5_4
8658 cd      if (i.eq.2 .and. j.eq.8 .and. k.eq.3 .and. l.eq.7) then
8659 cd        write (2,*) 'ijkl',i,j,k,l
8660 cd        write (2,*) 'eello5_1',eello5_1,' eello5_2',eello5_2,
8661 cd     &     ' eello5_3',eello5_3,' eello5_4',eello5_4
8662 cd      endif
8663 cd      write(iout,*) 'eello5_1',eello5_1,' eel5_1_num',16*eel5_1_num
8664 cd      write(iout,*) 'eello5_2',eello5_2,' eel5_2_num',16*eel5_2_num
8665 cd      write(iout,*) 'eello5_3',eello5_3,' eel5_3_num',16*eel5_3_num
8666 cd      write(iout,*) 'eello5_4',eello5_4,' eel5_4_num',16*eel5_4_num
8667       if (j.lt.nres-1) then
8668         j1=j+1
8669         j2=j-1
8670       else
8671         j1=j-1
8672         j2=j-2
8673       endif
8674       if (l.lt.nres-1) then
8675         l1=l+1
8676         l2=l-1
8677       else
8678         l1=l-1
8679         l2=l-2
8680       endif
8681 cd      eij=1.0d0
8682 cd      ekl=1.0d0
8683 cd      ekont=1.0d0
8684 cd      write (2,*) 'eij',eij,' ekl',ekl,' ekont',ekont
8685 C 2/11/08 AL Gradients over DC's connecting interacting sites will be
8686 C        summed up outside the subrouine as for the other subroutines 
8687 C        handling long-range interactions. The old code is commented out
8688 C        with "cgrad" to keep track of changes.
8689       do ll=1,3
8690 cgrad        ggg1(ll)=eel5*g_contij(ll,1)
8691 cgrad        ggg2(ll)=eel5*g_contij(ll,2)
8692         gradcorr5ij=eel5*g_contij(ll,1)+ekont*derx(ll,1,1)
8693         gradcorr5kl=eel5*g_contij(ll,2)+ekont*derx(ll,1,2)
8694 c        write (iout,'(a,3i3,a,5f8.3,2i3,a,5f8.3,a,f8.3)') 
8695 c     &   "ecorr5",ll,i,j," derx",derx(ll,2,1),derx(ll,3,1),derx(ll,4,1),
8696 c     &   derx(ll,5,1),k,l," derx",derx(ll,2,2),derx(ll,3,2),
8697 c     &   derx(ll,4,2),derx(ll,5,2)," ekont",ekont
8698 c        write (iout,'(a,3i3,a,3f8.3,2i3,a,3f8.3)') 
8699 c     &   "ecorr5",ll,i,j," gradcorr5",g_contij(ll,1),derx(ll,1,1),
8700 c     &   gradcorr5ij,
8701 c     &   k,l," gradcorr5",g_contij(ll,2),derx(ll,1,2),gradcorr5kl
8702 cold        ghalf=0.5d0*eel5*ekl*gacont_hbr(ll,jj,i)
8703 cgrad        ghalf=0.5d0*ggg1(ll)
8704 cd        ghalf=0.0d0
8705         gradcorr5(ll,i)=gradcorr5(ll,i)+ekont*derx(ll,2,1)
8706         gradcorr5(ll,i+1)=gradcorr5(ll,i+1)+ekont*derx(ll,3,1)
8707         gradcorr5(ll,j)=gradcorr5(ll,j)+ekont*derx(ll,4,1)
8708         gradcorr5(ll,j1)=gradcorr5(ll,j1)+ekont*derx(ll,5,1)
8709         gradcorr5_long(ll,j)=gradcorr5_long(ll,j)+gradcorr5ij
8710         gradcorr5_long(ll,i)=gradcorr5_long(ll,i)-gradcorr5ij
8711 cold        ghalf=0.5d0*eel5*eij*gacont_hbr(ll,kk,k)
8712 cgrad        ghalf=0.5d0*ggg2(ll)
8713 cd        ghalf=0.0d0
8714         gradcorr5(ll,k)=gradcorr5(ll,k)+ghalf+ekont*derx(ll,2,2)
8715         gradcorr5(ll,k+1)=gradcorr5(ll,k+1)+ekont*derx(ll,3,2)
8716         gradcorr5(ll,l)=gradcorr5(ll,l)+ghalf+ekont*derx(ll,4,2)
8717         gradcorr5(ll,l1)=gradcorr5(ll,l1)+ekont*derx(ll,5,2)
8718         gradcorr5_long(ll,l)=gradcorr5_long(ll,l)+gradcorr5kl
8719         gradcorr5_long(ll,k)=gradcorr5_long(ll,k)-gradcorr5kl
8720       enddo
8721 cd      goto 1112
8722 cgrad      do m=i+1,j-1
8723 cgrad        do ll=1,3
8724 cold          gradcorr5(ll,m)=gradcorr5(ll,m)+eel5*ekl*gacont_hbr(ll,jj,i)
8725 cgrad          gradcorr5(ll,m)=gradcorr5(ll,m)+ggg1(ll)
8726 cgrad        enddo
8727 cgrad      enddo
8728 cgrad      do m=k+1,l-1
8729 cgrad        do ll=1,3
8730 cold          gradcorr5(ll,m)=gradcorr5(ll,m)+eel5*eij*gacont_hbr(ll,kk,k)
8731 cgrad          gradcorr5(ll,m)=gradcorr5(ll,m)+ggg2(ll)
8732 cgrad        enddo
8733 cgrad      enddo
8734 c1112  continue
8735 cgrad      do m=i+2,j2
8736 cgrad        do ll=1,3
8737 cgrad          gradcorr5(ll,m)=gradcorr5(ll,m)+ekont*derx(ll,1,1)
8738 cgrad        enddo
8739 cgrad      enddo
8740 cgrad      do m=k+2,l2
8741 cgrad        do ll=1,3
8742 cgrad          gradcorr5(ll,m)=gradcorr5(ll,m)+ekont*derx(ll,1,2)
8743 cgrad        enddo
8744 cgrad      enddo 
8745 cd      do iii=1,nres-3
8746 cd        write (2,*) iii,g_corr5_loc(iii)
8747 cd      enddo
8748       eello5=ekont*eel5
8749 cd      write (2,*) 'ekont',ekont
8750 cd      write (iout,*) 'eello5',ekont*eel5
8751       return
8752       end
8753 c--------------------------------------------------------------------------
8754       double precision function eello6(i,j,k,l,jj,kk)
8755       implicit real*8 (a-h,o-z)
8756       include 'DIMENSIONS'
8757       include 'COMMON.IOUNITS'
8758       include 'COMMON.CHAIN'
8759       include 'COMMON.DERIV'
8760       include 'COMMON.INTERACT'
8761       include 'COMMON.CONTACTS'
8762       include 'COMMON.TORSION'
8763       include 'COMMON.VAR'
8764       include 'COMMON.GEO'
8765       include 'COMMON.FFIELD'
8766       double precision ggg1(3),ggg2(3)
8767 cd      if (i.ne.1 .or. j.ne.3 .or. k.ne.2 .or. l.ne.4) then
8768 cd        eello6=0.0d0
8769 cd        return
8770 cd      endif
8771 cd      write (iout,*)
8772 cd     &   'EELLO6: Contacts have occurred for peptide groups',i,j,
8773 cd     &   ' and',k,l
8774       eello6_1=0.0d0
8775       eello6_2=0.0d0
8776       eello6_3=0.0d0
8777       eello6_4=0.0d0
8778       eello6_5=0.0d0
8779       eello6_6=0.0d0
8780 cd      call checkint6(i,j,k,l,jj,kk,eel6_1_num,eel6_2_num,
8781 cd     &   eel6_3_num,eel6_4_num,eel6_5_num,eel6_6_num)
8782       do iii=1,2
8783         do kkk=1,5
8784           do lll=1,3
8785             derx(lll,kkk,iii)=0.0d0
8786           enddo
8787         enddo
8788       enddo
8789 cd      eij=facont_hb(jj,i)
8790 cd      ekl=facont_hb(kk,k)
8791 cd      ekont=eij*ekl
8792 cd      eij=1.0d0
8793 cd      ekl=1.0d0
8794 cd      ekont=1.0d0
8795       if (l.eq.j+1) then
8796         eello6_1=eello6_graph1(i,j,k,l,1,.false.)
8797         eello6_2=eello6_graph1(j,i,l,k,2,.false.)
8798         eello6_3=eello6_graph2(i,j,k,l,jj,kk,.false.)
8799         eello6_4=eello6_graph4(i,j,k,l,jj,kk,1,.false.)
8800         eello6_5=eello6_graph4(j,i,l,k,jj,kk,2,.false.)
8801         eello6_6=eello6_graph3(i,j,k,l,jj,kk,.false.)
8802       else
8803         eello6_1=eello6_graph1(i,j,k,l,1,.false.)
8804         eello6_2=eello6_graph1(l,k,j,i,2,.true.)
8805         eello6_3=eello6_graph2(i,l,k,j,jj,kk,.true.)
8806         eello6_4=eello6_graph4(i,j,k,l,jj,kk,1,.false.)
8807         if (wturn6.eq.0.0d0 .or. j.ne.i+4) then
8808           eello6_5=eello6_graph4(l,k,j,i,kk,jj,2,.true.)
8809         else
8810           eello6_5=0.0d0
8811         endif
8812         eello6_6=eello6_graph3(i,l,k,j,jj,kk,.true.)
8813       endif
8814 C If turn contributions are considered, they will be handled separately.
8815       eel6=eello6_1+eello6_2+eello6_3+eello6_4+eello6_5+eello6_6
8816 cd      write(iout,*) 'eello6_1',eello6_1!,' eel6_1_num',16*eel6_1_num
8817 cd      write(iout,*) 'eello6_2',eello6_2!,' eel6_2_num',16*eel6_2_num
8818 cd      write(iout,*) 'eello6_3',eello6_3!,' eel6_3_num',16*eel6_3_num
8819 cd      write(iout,*) 'eello6_4',eello6_4!,' eel6_4_num',16*eel6_4_num
8820 cd      write(iout,*) 'eello6_5',eello6_5!,' eel6_5_num',16*eel6_5_num
8821 cd      write(iout,*) 'eello6_6',eello6_6!,' eel6_6_num',16*eel6_6_num
8822 cd      goto 1112
8823       if (j.lt.nres-1) then
8824         j1=j+1
8825         j2=j-1
8826       else
8827         j1=j-1
8828         j2=j-2
8829       endif
8830       if (l.lt.nres-1) then
8831         l1=l+1
8832         l2=l-1
8833       else
8834         l1=l-1
8835         l2=l-2
8836       endif
8837       do ll=1,3
8838 cgrad        ggg1(ll)=eel6*g_contij(ll,1)
8839 cgrad        ggg2(ll)=eel6*g_contij(ll,2)
8840 cold        ghalf=0.5d0*eel6*ekl*gacont_hbr(ll,jj,i)
8841 cgrad        ghalf=0.5d0*ggg1(ll)
8842 cd        ghalf=0.0d0
8843         gradcorr6ij=eel6*g_contij(ll,1)+ekont*derx(ll,1,1)
8844         gradcorr6kl=eel6*g_contij(ll,2)+ekont*derx(ll,1,2)
8845         gradcorr6(ll,i)=gradcorr6(ll,i)+ekont*derx(ll,2,1)
8846         gradcorr6(ll,i+1)=gradcorr6(ll,i+1)+ekont*derx(ll,3,1)
8847         gradcorr6(ll,j)=gradcorr6(ll,j)+ekont*derx(ll,4,1)
8848         gradcorr6(ll,j1)=gradcorr6(ll,j1)+ekont*derx(ll,5,1)
8849         gradcorr6_long(ll,j)=gradcorr6_long(ll,j)+gradcorr6ij
8850         gradcorr6_long(ll,i)=gradcorr6_long(ll,i)-gradcorr6ij
8851 cgrad        ghalf=0.5d0*ggg2(ll)
8852 cold        ghalf=0.5d0*eel6*eij*gacont_hbr(ll,kk,k)
8853 cd        ghalf=0.0d0
8854         gradcorr6(ll,k)=gradcorr6(ll,k)+ekont*derx(ll,2,2)
8855         gradcorr6(ll,k+1)=gradcorr6(ll,k+1)+ekont*derx(ll,3,2)
8856         gradcorr6(ll,l)=gradcorr6(ll,l)+ekont*derx(ll,4,2)
8857         gradcorr6(ll,l1)=gradcorr6(ll,l1)+ekont*derx(ll,5,2)
8858         gradcorr6_long(ll,l)=gradcorr6_long(ll,l)+gradcorr6kl
8859         gradcorr6_long(ll,k)=gradcorr6_long(ll,k)-gradcorr6kl
8860       enddo
8861 cd      goto 1112
8862 cgrad      do m=i+1,j-1
8863 cgrad        do ll=1,3
8864 cold          gradcorr6(ll,m)=gradcorr6(ll,m)+eel6*ekl*gacont_hbr(ll,jj,i)
8865 cgrad          gradcorr6(ll,m)=gradcorr6(ll,m)+ggg1(ll)
8866 cgrad        enddo
8867 cgrad      enddo
8868 cgrad      do m=k+1,l-1
8869 cgrad        do ll=1,3
8870 cold          gradcorr6(ll,m)=gradcorr6(ll,m)+eel6*eij*gacont_hbr(ll,kk,k)
8871 cgrad          gradcorr6(ll,m)=gradcorr6(ll,m)+ggg2(ll)
8872 cgrad        enddo
8873 cgrad      enddo
8874 cgrad1112  continue
8875 cgrad      do m=i+2,j2
8876 cgrad        do ll=1,3
8877 cgrad          gradcorr6(ll,m)=gradcorr6(ll,m)+ekont*derx(ll,1,1)
8878 cgrad        enddo
8879 cgrad      enddo
8880 cgrad      do m=k+2,l2
8881 cgrad        do ll=1,3
8882 cgrad          gradcorr6(ll,m)=gradcorr6(ll,m)+ekont*derx(ll,1,2)
8883 cgrad        enddo
8884 cgrad      enddo 
8885 cd      do iii=1,nres-3
8886 cd        write (2,*) iii,g_corr6_loc(iii)
8887 cd      enddo
8888       eello6=ekont*eel6
8889 cd      write (2,*) 'ekont',ekont
8890 cd      write (iout,*) 'eello6',ekont*eel6
8891       return
8892       end
8893 c--------------------------------------------------------------------------
8894       double precision function eello6_graph1(i,j,k,l,imat,swap)
8895       implicit real*8 (a-h,o-z)
8896       include 'DIMENSIONS'
8897       include 'COMMON.IOUNITS'
8898       include 'COMMON.CHAIN'
8899       include 'COMMON.DERIV'
8900       include 'COMMON.INTERACT'
8901       include 'COMMON.CONTACTS'
8902       include 'COMMON.TORSION'
8903       include 'COMMON.VAR'
8904       include 'COMMON.GEO'
8905       double precision vv(2),vv1(2),pizda(2,2),auxmat(2,2),pizda1(2,2)
8906       logical swap
8907       logical lprn
8908       common /kutas/ lprn
8909 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8910 C                                              
8911 C      Parallel       Antiparallel
8912 C                                             
8913 C          o             o         
8914 C         /l\           /j\
8915 C        /   \         /   \
8916 C       /| o |         | o |\
8917 C     \ j|/k\|  /   \  |/k\|l /   
8918 C      \ /   \ /     \ /   \ /    
8919 C       o     o       o     o                
8920 C       i             i                     
8921 C
8922 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8923       itk=itortyp(itype(k))
8924       s1= scalar2(AEAb1(1,2,imat),CUgb2(1,i))
8925       s2=-scalar2(AEAb2(1,1,imat),Ug2Db1t(1,k))
8926       s3= scalar2(AEAb2(1,1,imat),CUgb2(1,k))
8927       call transpose2(EUgC(1,1,k),auxmat(1,1))
8928       call matmat2(AEA(1,1,imat),auxmat(1,1),pizda1(1,1))
8929       vv1(1)=pizda1(1,1)-pizda1(2,2)
8930       vv1(2)=pizda1(1,2)+pizda1(2,1)
8931       s4=0.5d0*scalar2(vv1(1),Dtobr2(1,i))
8932       vv(1)=AEAb1(1,2,imat)*b1(1,itk)-AEAb1(2,2,imat)*b1(2,itk)
8933       vv(2)=AEAb1(1,2,imat)*b1(2,itk)+AEAb1(2,2,imat)*b1(1,itk)
8934       s5=scalar2(vv(1),Dtobr2(1,i))
8935 cd      write (2,*) 's1',s1,' s2',s2,' s3',s3,' s4', s4,' s5',s5
8936       eello6_graph1=-0.5d0*(s1+s2+s3+s4+s5)
8937       if (i.gt.1) g_corr6_loc(i-1)=g_corr6_loc(i-1)
8938      & -0.5d0*ekont*(scalar2(AEAb1(1,2,imat),CUgb2der(1,i))
8939      & -scalar2(AEAb2derg(1,2,1,imat),Ug2Db1t(1,k))
8940      & +scalar2(AEAb2derg(1,2,1,imat),CUgb2(1,k))
8941      & +0.5d0*scalar2(vv1(1),Dtobr2der(1,i))
8942      & +scalar2(vv(1),Dtobr2der(1,i)))
8943       call matmat2(AEAderg(1,1,imat),auxmat(1,1),pizda1(1,1))
8944       vv1(1)=pizda1(1,1)-pizda1(2,2)
8945       vv1(2)=pizda1(1,2)+pizda1(2,1)
8946       vv(1)=AEAb1derg(1,2,imat)*b1(1,itk)-AEAb1derg(2,2,imat)*b1(2,itk)
8947       vv(2)=AEAb1derg(1,2,imat)*b1(2,itk)+AEAb1derg(2,2,imat)*b1(1,itk)
8948       if (l.eq.j+1) then
8949         g_corr6_loc(l-1)=g_corr6_loc(l-1)
8950      & +ekont*(-0.5d0*(scalar2(AEAb1derg(1,2,imat),CUgb2(1,i))
8951      & -scalar2(AEAb2derg(1,1,1,imat),Ug2Db1t(1,k))
8952      & +scalar2(AEAb2derg(1,1,1,imat),CUgb2(1,k))
8953      & +0.5d0*scalar2(vv1(1),Dtobr2(1,i))+scalar2(vv(1),Dtobr2(1,i))))
8954       else
8955         g_corr6_loc(j-1)=g_corr6_loc(j-1)
8956      & +ekont*(-0.5d0*(scalar2(AEAb1derg(1,2,imat),CUgb2(1,i))
8957      & -scalar2(AEAb2derg(1,1,1,imat),Ug2Db1t(1,k))
8958      & +scalar2(AEAb2derg(1,1,1,imat),CUgb2(1,k))
8959      & +0.5d0*scalar2(vv1(1),Dtobr2(1,i))+scalar2(vv(1),Dtobr2(1,i))))
8960       endif
8961       call transpose2(EUgCder(1,1,k),auxmat(1,1))
8962       call matmat2(AEA(1,1,imat),auxmat(1,1),pizda1(1,1))
8963       vv1(1)=pizda1(1,1)-pizda1(2,2)
8964       vv1(2)=pizda1(1,2)+pizda1(2,1)
8965       if (k.gt.1) g_corr6_loc(k-1)=g_corr6_loc(k-1)
8966      & +ekont*(-0.5d0*(-scalar2(AEAb2(1,1,imat),Ug2Db1tder(1,k))
8967      & +scalar2(AEAb2(1,1,imat),CUgb2der(1,k))
8968      & +0.5d0*scalar2(vv1(1),Dtobr2(1,i))))
8969       do iii=1,2
8970         if (swap) then
8971           ind=3-iii
8972         else
8973           ind=iii
8974         endif
8975         do kkk=1,5
8976           do lll=1,3
8977             s1= scalar2(AEAb1derx(1,lll,kkk,iii,2,imat),CUgb2(1,i))
8978             s2=-scalar2(AEAb2derx(1,lll,kkk,iii,1,imat),Ug2Db1t(1,k))
8979             s3= scalar2(AEAb2derx(1,lll,kkk,iii,1,imat),CUgb2(1,k))
8980             call transpose2(EUgC(1,1,k),auxmat(1,1))
8981             call matmat2(AEAderx(1,1,lll,kkk,iii,imat),auxmat(1,1),
8982      &        pizda1(1,1))
8983             vv1(1)=pizda1(1,1)-pizda1(2,2)
8984             vv1(2)=pizda1(1,2)+pizda1(2,1)
8985             s4=0.5d0*scalar2(vv1(1),Dtobr2(1,i))
8986             vv(1)=AEAb1derx(1,lll,kkk,iii,2,imat)*b1(1,itk)
8987      &       -AEAb1derx(2,lll,kkk,iii,2,imat)*b1(2,itk)
8988             vv(2)=AEAb1derx(1,lll,kkk,iii,2,imat)*b1(2,itk)
8989      &       +AEAb1derx(2,lll,kkk,iii,2,imat)*b1(1,itk)
8990             s5=scalar2(vv(1),Dtobr2(1,i))
8991             derx(lll,kkk,ind)=derx(lll,kkk,ind)-0.5d0*(s1+s2+s3+s4+s5)
8992           enddo
8993         enddo
8994       enddo
8995       return
8996       end
8997 c----------------------------------------------------------------------------
8998       double precision function eello6_graph2(i,j,k,l,jj,kk,swap)
8999       implicit real*8 (a-h,o-z)
9000       include 'DIMENSIONS'
9001       include 'COMMON.IOUNITS'
9002       include 'COMMON.CHAIN'
9003       include 'COMMON.DERIV'
9004       include 'COMMON.INTERACT'
9005       include 'COMMON.CONTACTS'
9006       include 'COMMON.TORSION'
9007       include 'COMMON.VAR'
9008       include 'COMMON.GEO'
9009       logical swap
9010       double precision vv(2),pizda(2,2),auxmat(2,2),auxvec(2),
9011      & auxvec1(2),auxvec2(2),auxmat1(2,2)
9012       logical lprn
9013       common /kutas/ lprn
9014 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
9015 C                                                                              C
9016 C      Parallel       Antiparallel                                             C
9017 C                                                                              C
9018 C          o             o                                                     C
9019 C     \   /l\           /j\   /                                                C
9020 C      \ /   \         /   \ /                                                 C
9021 C       o| o |         | o |o                                                  C                
9022 C     \ j|/k\|      \  |/k\|l                                                  C
9023 C      \ /   \       \ /   \                                                   C
9024 C       o             o                                                        C
9025 C       i             i                                                        C 
9026 C                                                                              C           
9027 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
9028 cd      write (2,*) 'eello6_graph2: i,',i,' j',j,' k',k,' l',l
9029 C AL 7/4/01 s1 would occur in the sixth-order moment, 
9030 C           but not in a cluster cumulant
9031 #ifdef MOMENT
9032       s1=dip(1,jj,i)*dip(1,kk,k)
9033 #endif
9034       call matvec2(ADtEA1(1,1,1),Ub2(1,k),auxvec(1))
9035       s2=-0.5d0*scalar2(Ub2(1,i),auxvec(1))
9036       call matvec2(ADtEA(1,1,2),Ub2(1,l),auxvec1(1))
9037       s3=-0.5d0*scalar2(Ub2(1,j),auxvec1(1))
9038       call transpose2(EUg(1,1,k),auxmat(1,1))
9039       call matmat2(ADtEA1(1,1,1),auxmat(1,1),pizda(1,1))
9040       vv(1)=pizda(1,1)-pizda(2,2)
9041       vv(2)=pizda(1,2)+pizda(2,1)
9042       s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
9043 cd      write (2,*) 'eello6_graph2:','s1',s1,' s2',s2,' s3',s3,' s4',s4
9044 #ifdef MOMENT
9045       eello6_graph2=-(s1+s2+s3+s4)
9046 #else
9047       eello6_graph2=-(s2+s3+s4)
9048 #endif
9049 c      eello6_graph2=-s3
9050 C Derivatives in gamma(i-1)
9051       if (i.gt.1) then
9052 #ifdef MOMENT
9053         s1=dipderg(1,jj,i)*dip(1,kk,k)
9054 #endif
9055         s2=-0.5d0*scalar2(Ub2der(1,i),auxvec(1))
9056         call matvec2(ADtEAderg(1,1,1,2),Ub2(1,l),auxvec2(1))
9057         s3=-0.5d0*scalar2(Ub2(1,j),auxvec2(1))
9058         s4=-0.25d0*scalar2(vv(1),Dtobr2der(1,i))
9059 #ifdef MOMENT
9060         g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s1+s2+s3+s4)
9061 #else
9062         g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s2+s3+s4)
9063 #endif
9064 c        g_corr6_loc(i-1)=g_corr6_loc(i-1)-s3
9065       endif
9066 C Derivatives in gamma(k-1)
9067 #ifdef MOMENT
9068       s1=dip(1,jj,i)*dipderg(1,kk,k)
9069 #endif
9070       call matvec2(ADtEA1(1,1,1),Ub2der(1,k),auxvec2(1))
9071       s2=-0.5d0*scalar2(Ub2(1,i),auxvec2(1))
9072       call matvec2(ADtEAderg(1,1,2,2),Ub2(1,l),auxvec2(1))
9073       s3=-0.5d0*scalar2(Ub2(1,j),auxvec2(1))
9074       call transpose2(EUgder(1,1,k),auxmat1(1,1))
9075       call matmat2(ADtEA1(1,1,1),auxmat1(1,1),pizda(1,1))
9076       vv(1)=pizda(1,1)-pizda(2,2)
9077       vv(2)=pizda(1,2)+pizda(2,1)
9078       s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
9079 #ifdef MOMENT
9080       g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s1+s2+s3+s4)
9081 #else
9082       g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s2+s3+s4)
9083 #endif
9084 c      g_corr6_loc(k-1)=g_corr6_loc(k-1)-s3
9085 C Derivatives in gamma(j-1) or gamma(l-1)
9086       if (j.gt.1) then
9087 #ifdef MOMENT
9088         s1=dipderg(3,jj,i)*dip(1,kk,k) 
9089 #endif
9090         call matvec2(ADtEA1derg(1,1,1,1),Ub2(1,k),auxvec2(1))
9091         s2=-0.5d0*scalar2(Ub2(1,i),auxvec2(1))
9092         s3=-0.5d0*scalar2(Ub2der(1,j),auxvec1(1))
9093         call matmat2(ADtEA1derg(1,1,1,1),auxmat(1,1),pizda(1,1))
9094         vv(1)=pizda(1,1)-pizda(2,2)
9095         vv(2)=pizda(1,2)+pizda(2,1)
9096         s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
9097 #ifdef MOMENT
9098         if (swap) then
9099           g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*s1
9100         else
9101           g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*s1
9102         endif
9103 #endif
9104         g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*(s2+s3+s4)
9105 c        g_corr6_loc(j-1)=g_corr6_loc(j-1)-s3
9106       endif
9107 C Derivatives in gamma(l-1) or gamma(j-1)
9108       if (l.gt.1) then 
9109 #ifdef MOMENT
9110         s1=dip(1,jj,i)*dipderg(3,kk,k)
9111 #endif
9112         call matvec2(ADtEA1derg(1,1,2,1),Ub2(1,k),auxvec2(1))
9113         s2=-0.5d0*scalar2(Ub2(1,i),auxvec2(1))
9114         call matvec2(ADtEA(1,1,2),Ub2der(1,l),auxvec2(1))
9115         s3=-0.5d0*scalar2(Ub2(1,j),auxvec2(1))
9116         call matmat2(ADtEA1derg(1,1,2,1),auxmat(1,1),pizda(1,1))
9117         vv(1)=pizda(1,1)-pizda(2,2)
9118         vv(2)=pizda(1,2)+pizda(2,1)
9119         s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
9120 #ifdef MOMENT
9121         if (swap) then
9122           g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*s1
9123         else
9124           g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*s1
9125         endif
9126 #endif
9127         g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*(s2+s3+s4)
9128 c        g_corr6_loc(l-1)=g_corr6_loc(l-1)-s3
9129       endif
9130 C Cartesian derivatives.
9131       if (lprn) then
9132         write (2,*) 'In eello6_graph2'
9133         do iii=1,2
9134           write (2,*) 'iii=',iii
9135           do kkk=1,5
9136             write (2,*) 'kkk=',kkk
9137             do jjj=1,2
9138               write (2,'(3(2f10.5),5x)') 
9139      &        ((ADtEA1derx(jjj,mmm,lll,kkk,iii,1),mmm=1,2),lll=1,3)
9140             enddo
9141           enddo
9142         enddo
9143       endif
9144       do iii=1,2
9145         do kkk=1,5
9146           do lll=1,3
9147 #ifdef MOMENT
9148             if (iii.eq.1) then
9149               s1=dipderx(lll,kkk,1,jj,i)*dip(1,kk,k)
9150             else
9151               s1=dip(1,jj,i)*dipderx(lll,kkk,1,kk,k)
9152             endif
9153 #endif
9154             call matvec2(ADtEA1derx(1,1,lll,kkk,iii,1),Ub2(1,k),
9155      &        auxvec(1))
9156             s2=-0.5d0*scalar2(Ub2(1,i),auxvec(1))
9157             call matvec2(ADtEAderx(1,1,lll,kkk,iii,2),Ub2(1,l),
9158      &        auxvec(1))
9159             s3=-0.5d0*scalar2(Ub2(1,j),auxvec(1))
9160             call transpose2(EUg(1,1,k),auxmat(1,1))
9161             call matmat2(ADtEA1derx(1,1,lll,kkk,iii,1),auxmat(1,1),
9162      &        pizda(1,1))
9163             vv(1)=pizda(1,1)-pizda(2,2)
9164             vv(2)=pizda(1,2)+pizda(2,1)
9165             s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
9166 cd            write (2,*) 's1',s1,' s2',s2,' s3',s3,' s4',s4
9167 #ifdef MOMENT
9168             derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s1+s2+s4)
9169 #else
9170             derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s2+s4)
9171 #endif
9172             if (swap) then
9173               derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-s3
9174             else
9175               derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
9176             endif
9177           enddo
9178         enddo
9179       enddo
9180       return
9181       end
9182 c----------------------------------------------------------------------------
9183       double precision function eello6_graph3(i,j,k,l,jj,kk,swap)
9184       implicit real*8 (a-h,o-z)
9185       include 'DIMENSIONS'
9186       include 'COMMON.IOUNITS'
9187       include 'COMMON.CHAIN'
9188       include 'COMMON.DERIV'
9189       include 'COMMON.INTERACT'
9190       include 'COMMON.CONTACTS'
9191       include 'COMMON.TORSION'
9192       include 'COMMON.VAR'
9193       include 'COMMON.GEO'
9194       double precision vv(2),pizda(2,2),auxmat(2,2),auxvec(2)
9195       logical swap
9196 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
9197 C                                                                              C 
9198 C      Parallel       Antiparallel                                             C
9199 C                                                                              C
9200 C          o             o                                                     C 
9201 C         /l\   /   \   /j\                                                    C 
9202 C        /   \ /     \ /   \                                                   C
9203 C       /| o |o       o| o |\                                                  C
9204 C       j|/k\|  /      |/k\|l /                                                C
9205 C        /   \ /       /   \ /                                                 C
9206 C       /     o       /     o                                                  C
9207 C       i             i                                                        C
9208 C                                                                              C
9209 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
9210 C
9211 C 4/7/01 AL Component s1 was removed, because it pertains to the respective 
9212 C           energy moment and not to the cluster cumulant.
9213       iti=itortyp(itype(i))
9214       if (j.lt.nres-1) then
9215         itj1=itortyp(itype(j+1))
9216       else
9217         itj1=ntortyp+1
9218       endif
9219       itk=itortyp(itype(k))
9220       itk1=itortyp(itype(k+1))
9221       if (l.lt.nres-1) then
9222         itl1=itortyp(itype(l+1))
9223       else
9224         itl1=ntortyp+1
9225       endif
9226 #ifdef MOMENT
9227       s1=dip(4,jj,i)*dip(4,kk,k)
9228 #endif
9229       call matvec2(AECA(1,1,1),b1(1,itk1),auxvec(1))
9230       s2=0.5d0*scalar2(b1(1,itk),auxvec(1))
9231       call matvec2(AECA(1,1,2),b1(1,itl1),auxvec(1))
9232       s3=0.5d0*scalar2(b1(1,itj1),auxvec(1))
9233       call transpose2(EE(1,1,itk),auxmat(1,1))
9234       call matmat2(auxmat(1,1),AECA(1,1,1),pizda(1,1))
9235       vv(1)=pizda(1,1)+pizda(2,2)
9236       vv(2)=pizda(2,1)-pizda(1,2)
9237       s4=-0.25d0*scalar2(vv(1),Ctobr(1,k))
9238 cd      write (2,*) 'eello6_graph3:','s1',s1,' s2',s2,' s3',s3,' s4',s4,
9239 cd     & "sum",-(s2+s3+s4)
9240 #ifdef MOMENT
9241       eello6_graph3=-(s1+s2+s3+s4)
9242 #else
9243       eello6_graph3=-(s2+s3+s4)
9244 #endif
9245 c      eello6_graph3=-s4
9246 C Derivatives in gamma(k-1)
9247       call matvec2(AECAderg(1,1,2),b1(1,itl1),auxvec(1))
9248       s3=0.5d0*scalar2(b1(1,itj1),auxvec(1))
9249       s4=-0.25d0*scalar2(vv(1),Ctobrder(1,k))
9250       g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s3+s4)
9251 C Derivatives in gamma(l-1)
9252       call matvec2(AECAderg(1,1,1),b1(1,itk1),auxvec(1))
9253       s2=0.5d0*scalar2(b1(1,itk),auxvec(1))
9254       call matmat2(auxmat(1,1),AECAderg(1,1,1),pizda(1,1))
9255       vv(1)=pizda(1,1)+pizda(2,2)
9256       vv(2)=pizda(2,1)-pizda(1,2)
9257       s4=-0.25d0*scalar2(vv(1),Ctobr(1,k))
9258       g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*(s2+s4) 
9259 C Cartesian derivatives.
9260       do iii=1,2
9261         do kkk=1,5
9262           do lll=1,3
9263 #ifdef MOMENT
9264             if (iii.eq.1) then
9265               s1=dipderx(lll,kkk,4,jj,i)*dip(4,kk,k)
9266             else
9267               s1=dip(4,jj,i)*dipderx(lll,kkk,4,kk,k)
9268             endif
9269 #endif
9270             call matvec2(AECAderx(1,1,lll,kkk,iii,1),b1(1,itk1),
9271      &        auxvec(1))
9272             s2=0.5d0*scalar2(b1(1,itk),auxvec(1))
9273             call matvec2(AECAderx(1,1,lll,kkk,iii,2),b1(1,itl1),
9274      &        auxvec(1))
9275             s3=0.5d0*scalar2(b1(1,itj1),auxvec(1))
9276             call matmat2(auxmat(1,1),AECAderx(1,1,lll,kkk,iii,1),
9277      &        pizda(1,1))
9278             vv(1)=pizda(1,1)+pizda(2,2)
9279             vv(2)=pizda(2,1)-pizda(1,2)
9280             s4=-0.25d0*scalar2(vv(1),Ctobr(1,k))
9281 #ifdef MOMENT
9282             derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s1+s2+s4)
9283 #else
9284             derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s2+s4)
9285 #endif
9286             if (swap) then
9287               derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-s3
9288             else
9289               derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
9290             endif
9291 c            derx(lll,kkk,iii)=derx(lll,kkk,iii)-s4
9292           enddo
9293         enddo
9294       enddo
9295       return
9296       end
9297 c----------------------------------------------------------------------------
9298       double precision function eello6_graph4(i,j,k,l,jj,kk,imat,swap)
9299       implicit real*8 (a-h,o-z)
9300       include 'DIMENSIONS'
9301       include 'COMMON.IOUNITS'
9302       include 'COMMON.CHAIN'
9303       include 'COMMON.DERIV'
9304       include 'COMMON.INTERACT'
9305       include 'COMMON.CONTACTS'
9306       include 'COMMON.TORSION'
9307       include 'COMMON.VAR'
9308       include 'COMMON.GEO'
9309       include 'COMMON.FFIELD'
9310       double precision vv(2),pizda(2,2),auxmat(2,2),auxvec(2),
9311      & auxvec1(2),auxmat1(2,2)
9312       logical swap
9313 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
9314 C                                                                              C                       
9315 C      Parallel       Antiparallel                                             C
9316 C                                                                              C
9317 C          o             o                                                     C
9318 C         /l\   /   \   /j\                                                    C
9319 C        /   \ /     \ /   \                                                   C
9320 C       /| o |o       o| o |\                                                  C
9321 C     \ j|/k\|      \  |/k\|l                                                  C
9322 C      \ /   \       \ /   \                                                   C 
9323 C       o     \       o     \                                                  C
9324 C       i             i                                                        C
9325 C                                                                              C 
9326 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
9327 C
9328 C 4/7/01 AL Component s1 was removed, because it pertains to the respective 
9329 C           energy moment and not to the cluster cumulant.
9330 cd      write (2,*) 'eello_graph4: wturn6',wturn6
9331       iti=itortyp(itype(i))
9332       itj=itortyp(itype(j))
9333       if (j.lt.nres-1) then
9334         itj1=itortyp(itype(j+1))
9335       else
9336         itj1=ntortyp+1
9337       endif
9338       itk=itortyp(itype(k))
9339       if (k.lt.nres-1) then
9340         itk1=itortyp(itype(k+1))
9341       else
9342         itk1=ntortyp+1
9343       endif
9344       itl=itortyp(itype(l))
9345       if (l.lt.nres-1) then
9346         itl1=itortyp(itype(l+1))
9347       else
9348         itl1=ntortyp+1
9349       endif
9350 cd      write (2,*) 'eello6_graph4:','i',i,' j',j,' k',k,' l',l
9351 cd      write (2,*) 'iti',iti,' itj',itj,' itj1',itj1,' itk',itk,
9352 cd     & ' itl',itl,' itl1',itl1
9353 #ifdef MOMENT
9354       if (imat.eq.1) then
9355         s1=dip(3,jj,i)*dip(3,kk,k)
9356       else
9357         s1=dip(2,jj,j)*dip(2,kk,l)
9358       endif
9359 #endif
9360       call matvec2(AECA(1,1,imat),Ub2(1,k),auxvec(1))
9361       s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
9362       if (j.eq.l+1) then
9363         call matvec2(ADtEA1(1,1,3-imat),b1(1,itj1),auxvec1(1))
9364         s3=-0.5d0*scalar2(b1(1,itj),auxvec1(1))
9365       else
9366         call matvec2(ADtEA1(1,1,3-imat),b1(1,itl1),auxvec1(1))
9367         s3=-0.5d0*scalar2(b1(1,itl),auxvec1(1))
9368       endif
9369       call transpose2(EUg(1,1,k),auxmat(1,1))
9370       call matmat2(AECA(1,1,imat),auxmat(1,1),pizda(1,1))
9371       vv(1)=pizda(1,1)-pizda(2,2)
9372       vv(2)=pizda(2,1)+pizda(1,2)
9373       s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
9374 cd      write (2,*) 'eello6_graph4:','s1',s1,' s2',s2,' s3',s3,' s4',s4
9375 #ifdef MOMENT
9376       eello6_graph4=-(s1+s2+s3+s4)
9377 #else
9378       eello6_graph4=-(s2+s3+s4)
9379 #endif
9380 C Derivatives in gamma(i-1)
9381       if (i.gt.1) then
9382 #ifdef MOMENT
9383         if (imat.eq.1) then
9384           s1=dipderg(2,jj,i)*dip(3,kk,k)
9385         else
9386           s1=dipderg(4,jj,j)*dip(2,kk,l)
9387         endif
9388 #endif
9389         s2=0.5d0*scalar2(Ub2der(1,i),auxvec(1))
9390         if (j.eq.l+1) then
9391           call matvec2(ADtEA1derg(1,1,1,3-imat),b1(1,itj1),auxvec1(1))
9392           s3=-0.5d0*scalar2(b1(1,itj),auxvec1(1))
9393         else
9394           call matvec2(ADtEA1derg(1,1,1,3-imat),b1(1,itl1),auxvec1(1))
9395           s3=-0.5d0*scalar2(b1(1,itl),auxvec1(1))
9396         endif
9397         s4=0.25d0*scalar2(vv(1),Dtobr2der(1,i))
9398         if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
9399 cd          write (2,*) 'turn6 derivatives'
9400 #ifdef MOMENT
9401           gel_loc_turn6(i-1)=gel_loc_turn6(i-1)-ekont*(s1+s2+s3+s4)
9402 #else
9403           gel_loc_turn6(i-1)=gel_loc_turn6(i-1)-ekont*(s2+s3+s4)
9404 #endif
9405         else
9406 #ifdef MOMENT
9407           g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s1+s2+s3+s4)
9408 #else
9409           g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s2+s3+s4)
9410 #endif
9411         endif
9412       endif
9413 C Derivatives in gamma(k-1)
9414 #ifdef MOMENT
9415       if (imat.eq.1) then
9416         s1=dip(3,jj,i)*dipderg(2,kk,k)
9417       else
9418         s1=dip(2,jj,j)*dipderg(4,kk,l)
9419       endif
9420 #endif
9421       call matvec2(AECA(1,1,imat),Ub2der(1,k),auxvec1(1))
9422       s2=0.5d0*scalar2(Ub2(1,i),auxvec1(1))
9423       if (j.eq.l+1) then
9424         call matvec2(ADtEA1derg(1,1,2,3-imat),b1(1,itj1),auxvec1(1))
9425         s3=-0.5d0*scalar2(b1(1,itj),auxvec1(1))
9426       else
9427         call matvec2(ADtEA1derg(1,1,2,3-imat),b1(1,itl1),auxvec1(1))
9428         s3=-0.5d0*scalar2(b1(1,itl),auxvec1(1))
9429       endif
9430       call transpose2(EUgder(1,1,k),auxmat1(1,1))
9431       call matmat2(AECA(1,1,imat),auxmat1(1,1),pizda(1,1))
9432       vv(1)=pizda(1,1)-pizda(2,2)
9433       vv(2)=pizda(2,1)+pizda(1,2)
9434       s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
9435       if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
9436 #ifdef MOMENT
9437         gel_loc_turn6(k-1)=gel_loc_turn6(k-1)-ekont*(s1+s2+s3+s4)
9438 #else
9439         gel_loc_turn6(k-1)=gel_loc_turn6(k-1)-ekont*(s2+s3+s4)
9440 #endif
9441       else
9442 #ifdef MOMENT
9443         g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s1+s2+s3+s4)
9444 #else
9445         g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s2+s3+s4)
9446 #endif
9447       endif
9448 C Derivatives in gamma(j-1) or gamma(l-1)
9449       if (l.eq.j+1 .and. l.gt.1) then
9450         call matvec2(AECAderg(1,1,imat),Ub2(1,k),auxvec(1))
9451         s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
9452         call matmat2(AECAderg(1,1,imat),auxmat(1,1),pizda(1,1))
9453         vv(1)=pizda(1,1)-pizda(2,2)
9454         vv(2)=pizda(2,1)+pizda(1,2)
9455         s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
9456         g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*(s2+s4)
9457       else if (j.gt.1) then
9458         call matvec2(AECAderg(1,1,imat),Ub2(1,k),auxvec(1))
9459         s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
9460         call matmat2(AECAderg(1,1,imat),auxmat(1,1),pizda(1,1))
9461         vv(1)=pizda(1,1)-pizda(2,2)
9462         vv(2)=pizda(2,1)+pizda(1,2)
9463         s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
9464         if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
9465           gel_loc_turn6(j-1)=gel_loc_turn6(j-1)-ekont*(s2+s4)
9466         else
9467           g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*(s2+s4)
9468         endif
9469       endif
9470 C Cartesian derivatives.
9471       do iii=1,2
9472         do kkk=1,5
9473           do lll=1,3
9474 #ifdef MOMENT
9475             if (iii.eq.1) then
9476               if (imat.eq.1) then
9477                 s1=dipderx(lll,kkk,3,jj,i)*dip(3,kk,k)
9478               else
9479                 s1=dipderx(lll,kkk,2,jj,j)*dip(2,kk,l)
9480               endif
9481             else
9482               if (imat.eq.1) then
9483                 s1=dip(3,jj,i)*dipderx(lll,kkk,3,kk,k)
9484               else
9485                 s1=dip(2,jj,j)*dipderx(lll,kkk,2,kk,l)
9486               endif
9487             endif
9488 #endif
9489             call matvec2(AECAderx(1,1,lll,kkk,iii,imat),Ub2(1,k),
9490      &        auxvec(1))
9491             s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
9492             if (j.eq.l+1) then
9493               call matvec2(ADtEA1derx(1,1,lll,kkk,iii,3-imat),
9494      &          b1(1,itj1),auxvec(1))
9495               s3=-0.5d0*scalar2(b1(1,itj),auxvec(1))
9496             else
9497               call matvec2(ADtEA1derx(1,1,lll,kkk,iii,3-imat),
9498      &          b1(1,itl1),auxvec(1))
9499               s3=-0.5d0*scalar2(b1(1,itl),auxvec(1))
9500             endif
9501             call matmat2(AECAderx(1,1,lll,kkk,iii,imat),auxmat(1,1),
9502      &        pizda(1,1))
9503             vv(1)=pizda(1,1)-pizda(2,2)
9504             vv(2)=pizda(2,1)+pizda(1,2)
9505             s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
9506             if (swap) then
9507               if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
9508 #ifdef MOMENT
9509                 derx_turn(lll,kkk,3-iii)=derx_turn(lll,kkk,3-iii)
9510      &             -(s1+s2+s4)
9511 #else
9512                 derx_turn(lll,kkk,3-iii)=derx_turn(lll,kkk,3-iii)
9513      &             -(s2+s4)
9514 #endif
9515                 derx_turn(lll,kkk,iii)=derx_turn(lll,kkk,iii)-s3
9516               else
9517 #ifdef MOMENT
9518                 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-(s1+s2+s4)
9519 #else
9520                 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-(s2+s4)
9521 #endif
9522                 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
9523               endif
9524             else
9525 #ifdef MOMENT
9526               derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s1+s2+s4)
9527 #else
9528               derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s2+s4)
9529 #endif
9530               if (l.eq.j+1) then
9531                 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
9532               else 
9533                 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-s3
9534               endif
9535             endif 
9536           enddo
9537         enddo
9538       enddo
9539       return
9540       end
9541 c----------------------------------------------------------------------------
9542       double precision function eello_turn6(i,jj,kk)
9543       implicit real*8 (a-h,o-z)
9544       include 'DIMENSIONS'
9545       include 'COMMON.IOUNITS'
9546       include 'COMMON.CHAIN'
9547       include 'COMMON.DERIV'
9548       include 'COMMON.INTERACT'
9549       include 'COMMON.CONTACTS'
9550       include 'COMMON.TORSION'
9551       include 'COMMON.VAR'
9552       include 'COMMON.GEO'
9553       double precision vtemp1(2),vtemp2(2),vtemp3(2),vtemp4(2),
9554      &  atemp(2,2),auxmat(2,2),achuj_temp(2,2),gtemp(2,2),gvec(2),
9555      &  ggg1(3),ggg2(3)
9556       double precision vtemp1d(2),vtemp2d(2),vtemp3d(2),vtemp4d(2),
9557      &  atempd(2,2),auxmatd(2,2),achuj_tempd(2,2),gtempd(2,2),gvecd(2)
9558 C 4/7/01 AL Components s1, s8, and s13 were removed, because they pertain to
9559 C           the respective energy moment and not to the cluster cumulant.
9560       s1=0.0d0
9561       s8=0.0d0
9562       s13=0.0d0
9563 c
9564       eello_turn6=0.0d0
9565       j=i+4
9566       k=i+1
9567       l=i+3
9568       iti=itortyp(itype(i))
9569       itk=itortyp(itype(k))
9570       itk1=itortyp(itype(k+1))
9571       itl=itortyp(itype(l))
9572       itj=itortyp(itype(j))
9573 cd      write (2,*) 'itk',itk,' itk1',itk1,' itl',itl,' itj',itj
9574 cd      write (2,*) 'i',i,' k',k,' j',j,' l',l
9575 cd      if (i.ne.1 .or. j.ne.3 .or. k.ne.2 .or. l.ne.4) then
9576 cd        eello6=0.0d0
9577 cd        return
9578 cd      endif
9579 cd      write (iout,*)
9580 cd     &   'EELLO6: Contacts have occurred for peptide groups',i,j,
9581 cd     &   ' and',k,l
9582 cd      call checkint_turn6(i,jj,kk,eel_turn6_num)
9583       do iii=1,2
9584         do kkk=1,5
9585           do lll=1,3
9586             derx_turn(lll,kkk,iii)=0.0d0
9587           enddo
9588         enddo
9589       enddo
9590 cd      eij=1.0d0
9591 cd      ekl=1.0d0
9592 cd      ekont=1.0d0
9593       eello6_5=eello6_graph4(l,k,j,i,kk,jj,2,.true.)
9594 cd      eello6_5=0.0d0
9595 cd      write (2,*) 'eello6_5',eello6_5
9596 #ifdef MOMENT
9597       call transpose2(AEA(1,1,1),auxmat(1,1))
9598       call matmat2(EUg(1,1,i+1),auxmat(1,1),auxmat(1,1))
9599       ss1=scalar2(Ub2(1,i+2),b1(1,itl))
9600       s1 = (auxmat(1,1)+auxmat(2,2))*ss1
9601 #endif
9602       call matvec2(EUg(1,1,i+2),b1(1,itl),vtemp1(1))
9603       call matvec2(AEA(1,1,1),vtemp1(1),vtemp1(1))
9604       s2 = scalar2(b1(1,itk),vtemp1(1))
9605 #ifdef MOMENT
9606       call transpose2(AEA(1,1,2),atemp(1,1))
9607       call matmat2(atemp(1,1),EUg(1,1,i+4),atemp(1,1))
9608       call matvec2(Ug2(1,1,i+2),dd(1,1,itk1),vtemp2(1))
9609       s8 = -(atemp(1,1)+atemp(2,2))*scalar2(cc(1,1,itl),vtemp2(1))
9610 #endif
9611       call matmat2(EUg(1,1,i+3),AEA(1,1,2),auxmat(1,1))
9612       call matvec2(auxmat(1,1),Ub2(1,i+4),vtemp3(1))
9613       s12 = scalar2(Ub2(1,i+2),vtemp3(1))
9614 #ifdef MOMENT
9615       call transpose2(a_chuj(1,1,kk,i+1),achuj_temp(1,1))
9616       call matmat2(achuj_temp(1,1),EUg(1,1,i+2),gtemp(1,1))
9617       call matmat2(gtemp(1,1),EUg(1,1,i+3),gtemp(1,1)) 
9618       call matvec2(a_chuj(1,1,jj,i),Ub2(1,i+4),vtemp4(1)) 
9619       ss13 = scalar2(b1(1,itk),vtemp4(1))
9620       s13 = (gtemp(1,1)+gtemp(2,2))*ss13
9621 #endif
9622 c      write (2,*) 's1,s2,s8,s12,s13',s1,s2,s8,s12,s13
9623 c      s1=0.0d0
9624 c      s2=0.0d0
9625 c      s8=0.0d0
9626 c      s12=0.0d0
9627 c      s13=0.0d0
9628       eel_turn6 = eello6_5 - 0.5d0*(s1+s2+s12+s8+s13)
9629 C Derivatives in gamma(i+2)
9630       s1d =0.0d0
9631       s8d =0.0d0
9632 #ifdef MOMENT
9633       call transpose2(AEA(1,1,1),auxmatd(1,1))
9634       call matmat2(EUgder(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
9635       s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1
9636       call transpose2(AEAderg(1,1,2),atempd(1,1))
9637       call matmat2(atempd(1,1),EUg(1,1,i+4),atempd(1,1))
9638       s8d = -(atempd(1,1)+atempd(2,2))*scalar2(cc(1,1,itl),vtemp2(1))
9639 #endif
9640       call matmat2(EUg(1,1,i+3),AEAderg(1,1,2),auxmatd(1,1))
9641       call matvec2(auxmatd(1,1),Ub2(1,i+4),vtemp3d(1))
9642       s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
9643 c      s1d=0.0d0
9644 c      s2d=0.0d0
9645 c      s8d=0.0d0
9646 c      s12d=0.0d0
9647 c      s13d=0.0d0
9648       gel_loc_turn6(i)=gel_loc_turn6(i)-0.5d0*ekont*(s1d+s8d+s12d)
9649 C Derivatives in gamma(i+3)
9650 #ifdef MOMENT
9651       call transpose2(AEA(1,1,1),auxmatd(1,1))
9652       call matmat2(EUg(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
9653       ss1d=scalar2(Ub2der(1,i+2),b1(1,itl))
9654       s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1d
9655 #endif
9656       call matvec2(EUgder(1,1,i+2),b1(1,itl),vtemp1d(1))
9657       call matvec2(AEA(1,1,1),vtemp1d(1),vtemp1d(1))
9658       s2d = scalar2(b1(1,itk),vtemp1d(1))
9659 #ifdef MOMENT
9660       call matvec2(Ug2der(1,1,i+2),dd(1,1,itk1),vtemp2d(1))
9661       s8d = -(atemp(1,1)+atemp(2,2))*scalar2(cc(1,1,itl),vtemp2d(1))
9662 #endif
9663       s12d = scalar2(Ub2der(1,i+2),vtemp3(1))
9664 #ifdef MOMENT
9665       call matmat2(achuj_temp(1,1),EUgder(1,1,i+2),gtempd(1,1))
9666       call matmat2(gtempd(1,1),EUg(1,1,i+3),gtempd(1,1)) 
9667       s13d = (gtempd(1,1)+gtempd(2,2))*ss13
9668 #endif
9669 c      s1d=0.0d0
9670 c      s2d=0.0d0
9671 c      s8d=0.0d0
9672 c      s12d=0.0d0
9673 c      s13d=0.0d0
9674 #ifdef MOMENT
9675       gel_loc_turn6(i+1)=gel_loc_turn6(i+1)
9676      &               -0.5d0*ekont*(s1d+s2d+s8d+s12d+s13d)
9677 #else
9678       gel_loc_turn6(i+1)=gel_loc_turn6(i+1)
9679      &               -0.5d0*ekont*(s2d+s12d)
9680 #endif
9681 C Derivatives in gamma(i+4)
9682       call matmat2(EUgder(1,1,i+3),AEA(1,1,2),auxmatd(1,1))
9683       call matvec2(auxmatd(1,1),Ub2(1,i+4),vtemp3d(1))
9684       s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
9685 #ifdef MOMENT
9686       call matmat2(achuj_temp(1,1),EUg(1,1,i+2),gtempd(1,1))
9687       call matmat2(gtempd(1,1),EUgder(1,1,i+3),gtempd(1,1)) 
9688       s13d = (gtempd(1,1)+gtempd(2,2))*ss13
9689 #endif
9690 c      s1d=0.0d0
9691 c      s2d=0.0d0
9692 c      s8d=0.0d0
9693 C      s12d=0.0d0
9694 c      s13d=0.0d0
9695 #ifdef MOMENT
9696       gel_loc_turn6(i+2)=gel_loc_turn6(i+2)-0.5d0*ekont*(s12d+s13d)
9697 #else
9698       gel_loc_turn6(i+2)=gel_loc_turn6(i+2)-0.5d0*ekont*(s12d)
9699 #endif
9700 C Derivatives in gamma(i+5)
9701 #ifdef MOMENT
9702       call transpose2(AEAderg(1,1,1),auxmatd(1,1))
9703       call matmat2(EUg(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
9704       s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1
9705 #endif
9706       call matvec2(EUg(1,1,i+2),b1(1,itl),vtemp1d(1))
9707       call matvec2(AEAderg(1,1,1),vtemp1d(1),vtemp1d(1))
9708       s2d = scalar2(b1(1,itk),vtemp1d(1))
9709 #ifdef MOMENT
9710       call transpose2(AEA(1,1,2),atempd(1,1))
9711       call matmat2(atempd(1,1),EUgder(1,1,i+4),atempd(1,1))
9712       s8d = -(atempd(1,1)+atempd(2,2))*scalar2(cc(1,1,itl),vtemp2(1))
9713 #endif
9714       call matvec2(auxmat(1,1),Ub2der(1,i+4),vtemp3d(1))
9715       s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
9716 #ifdef MOMENT
9717       call matvec2(a_chuj(1,1,jj,i),Ub2der(1,i+4),vtemp4d(1)) 
9718       ss13d = scalar2(b1(1,itk),vtemp4d(1))
9719       s13d = (gtemp(1,1)+gtemp(2,2))*ss13d
9720 #endif
9721 c      s1d=0.0d0
9722 c      s2d=0.0d0
9723 c      s8d=0.0d0
9724 c      s12d=0.0d0
9725 c      s13d=0.0d0
9726 #ifdef MOMENT
9727       gel_loc_turn6(i+3)=gel_loc_turn6(i+3)
9728      &               -0.5d0*ekont*(s1d+s2d+s8d+s12d+s13d)
9729 #else
9730       gel_loc_turn6(i+3)=gel_loc_turn6(i+3)
9731      &               -0.5d0*ekont*(s2d+s12d)
9732 #endif
9733 C Cartesian derivatives
9734       do iii=1,2
9735         do kkk=1,5
9736           do lll=1,3
9737 #ifdef MOMENT
9738             call transpose2(AEAderx(1,1,lll,kkk,iii,1),auxmatd(1,1))
9739             call matmat2(EUg(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
9740             s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1
9741 #endif
9742             call matvec2(EUg(1,1,i+2),b1(1,itl),vtemp1(1))
9743             call matvec2(AEAderx(1,1,lll,kkk,iii,1),vtemp1(1),
9744      &          vtemp1d(1))
9745             s2d = scalar2(b1(1,itk),vtemp1d(1))
9746 #ifdef MOMENT
9747             call transpose2(AEAderx(1,1,lll,kkk,iii,2),atempd(1,1))
9748             call matmat2(atempd(1,1),EUg(1,1,i+4),atempd(1,1))
9749             s8d = -(atempd(1,1)+atempd(2,2))*
9750      &           scalar2(cc(1,1,itl),vtemp2(1))
9751 #endif
9752             call matmat2(EUg(1,1,i+3),AEAderx(1,1,lll,kkk,iii,2),
9753      &           auxmatd(1,1))
9754             call matvec2(auxmatd(1,1),Ub2(1,i+4),vtemp3d(1))
9755             s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
9756 c      s1d=0.0d0
9757 c      s2d=0.0d0
9758 c      s8d=0.0d0
9759 c      s12d=0.0d0
9760 c      s13d=0.0d0
9761 #ifdef MOMENT
9762             derx_turn(lll,kkk,iii) = derx_turn(lll,kkk,iii) 
9763      &        - 0.5d0*(s1d+s2d)
9764 #else
9765             derx_turn(lll,kkk,iii) = derx_turn(lll,kkk,iii) 
9766      &        - 0.5d0*s2d
9767 #endif
9768 #ifdef MOMENT
9769             derx_turn(lll,kkk,3-iii) = derx_turn(lll,kkk,3-iii) 
9770      &        - 0.5d0*(s8d+s12d)
9771 #else
9772             derx_turn(lll,kkk,3-iii) = derx_turn(lll,kkk,3-iii) 
9773      &        - 0.5d0*s12d
9774 #endif
9775           enddo
9776         enddo
9777       enddo
9778 #ifdef MOMENT
9779       do kkk=1,5
9780         do lll=1,3
9781           call transpose2(a_chuj_der(1,1,lll,kkk,kk,i+1),
9782      &      achuj_tempd(1,1))
9783           call matmat2(achuj_tempd(1,1),EUg(1,1,i+2),gtempd(1,1))
9784           call matmat2(gtempd(1,1),EUg(1,1,i+3),gtempd(1,1)) 
9785           s13d=(gtempd(1,1)+gtempd(2,2))*ss13
9786           derx_turn(lll,kkk,2) = derx_turn(lll,kkk,2)-0.5d0*s13d
9787           call matvec2(a_chuj_der(1,1,lll,kkk,jj,i),Ub2(1,i+4),
9788      &      vtemp4d(1)) 
9789           ss13d = scalar2(b1(1,itk),vtemp4d(1))
9790           s13d = (gtemp(1,1)+gtemp(2,2))*ss13d
9791           derx_turn(lll,kkk,1) = derx_turn(lll,kkk,1)-0.5d0*s13d
9792         enddo
9793       enddo
9794 #endif
9795 cd      write(iout,*) 'eel6_turn6',eel_turn6,' eel_turn6_num',
9796 cd     &  16*eel_turn6_num
9797 cd      goto 1112
9798       if (j.lt.nres-1) then
9799         j1=j+1
9800         j2=j-1
9801       else
9802         j1=j-1
9803         j2=j-2
9804       endif
9805       if (l.lt.nres-1) then
9806         l1=l+1
9807         l2=l-1
9808       else
9809         l1=l-1
9810         l2=l-2
9811       endif
9812       do ll=1,3
9813 cgrad        ggg1(ll)=eel_turn6*g_contij(ll,1)
9814 cgrad        ggg2(ll)=eel_turn6*g_contij(ll,2)
9815 cgrad        ghalf=0.5d0*ggg1(ll)
9816 cd        ghalf=0.0d0
9817         gturn6ij=eel_turn6*g_contij(ll,1)+ekont*derx_turn(ll,1,1)
9818         gturn6kl=eel_turn6*g_contij(ll,2)+ekont*derx_turn(ll,1,2)
9819         gcorr6_turn(ll,i)=gcorr6_turn(ll,i)!+ghalf
9820      &    +ekont*derx_turn(ll,2,1)
9821         gcorr6_turn(ll,i+1)=gcorr6_turn(ll,i+1)+ekont*derx_turn(ll,3,1)
9822         gcorr6_turn(ll,j)=gcorr6_turn(ll,j)!+ghalf
9823      &    +ekont*derx_turn(ll,4,1)
9824         gcorr6_turn(ll,j1)=gcorr6_turn(ll,j1)+ekont*derx_turn(ll,5,1)
9825         gcorr6_turn_long(ll,j)=gcorr6_turn_long(ll,j)+gturn6ij
9826         gcorr6_turn_long(ll,i)=gcorr6_turn_long(ll,i)-gturn6ij
9827 cgrad        ghalf=0.5d0*ggg2(ll)
9828 cd        ghalf=0.0d0
9829         gcorr6_turn(ll,k)=gcorr6_turn(ll,k)!+ghalf
9830      &    +ekont*derx_turn(ll,2,2)
9831         gcorr6_turn(ll,k+1)=gcorr6_turn(ll,k+1)+ekont*derx_turn(ll,3,2)
9832         gcorr6_turn(ll,l)=gcorr6_turn(ll,l)!+ghalf
9833      &    +ekont*derx_turn(ll,4,2)
9834         gcorr6_turn(ll,l1)=gcorr6_turn(ll,l1)+ekont*derx_turn(ll,5,2)
9835         gcorr6_turn_long(ll,l)=gcorr6_turn_long(ll,l)+gturn6kl
9836         gcorr6_turn_long(ll,k)=gcorr6_turn_long(ll,k)-gturn6kl
9837       enddo
9838 cd      goto 1112
9839 cgrad      do m=i+1,j-1
9840 cgrad        do ll=1,3
9841 cgrad          gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ggg1(ll)
9842 cgrad        enddo
9843 cgrad      enddo
9844 cgrad      do m=k+1,l-1
9845 cgrad        do ll=1,3
9846 cgrad          gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ggg2(ll)
9847 cgrad        enddo
9848 cgrad      enddo
9849 cgrad1112  continue
9850 cgrad      do m=i+2,j2
9851 cgrad        do ll=1,3
9852 cgrad          gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ekont*derx_turn(ll,1,1)
9853 cgrad        enddo
9854 cgrad      enddo
9855 cgrad      do m=k+2,l2
9856 cgrad        do ll=1,3
9857 cgrad          gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ekont*derx_turn(ll,1,2)
9858 cgrad        enddo
9859 cgrad      enddo 
9860 cd      do iii=1,nres-3
9861 cd        write (2,*) iii,g_corr6_loc(iii)
9862 cd      enddo
9863       eello_turn6=ekont*eel_turn6
9864 cd      write (2,*) 'ekont',ekont
9865 cd      write (2,*) 'eel_turn6',ekont*eel_turn6
9866       return
9867       end
9868
9869 C-----------------------------------------------------------------------------
9870       double precision function scalar(u,v)
9871 !DIR$ INLINEALWAYS scalar
9872 #ifndef OSF
9873 cDEC$ ATTRIBUTES FORCEINLINE::scalar
9874 #endif
9875       implicit none
9876       double precision u(3),v(3)
9877 cd      double precision sc
9878 cd      integer i
9879 cd      sc=0.0d0
9880 cd      do i=1,3
9881 cd        sc=sc+u(i)*v(i)
9882 cd      enddo
9883 cd      scalar=sc
9884
9885       scalar=u(1)*v(1)+u(2)*v(2)+u(3)*v(3)
9886       return
9887       end
9888 crc-------------------------------------------------
9889       SUBROUTINE MATVEC2(A1,V1,V2)
9890 !DIR$ INLINEALWAYS MATVEC2
9891 #ifndef OSF
9892 cDEC$ ATTRIBUTES FORCEINLINE::MATVEC2
9893 #endif
9894       implicit real*8 (a-h,o-z)
9895       include 'DIMENSIONS'
9896       DIMENSION A1(2,2),V1(2),V2(2)
9897 c      DO 1 I=1,2
9898 c        VI=0.0
9899 c        DO 3 K=1,2
9900 c    3     VI=VI+A1(I,K)*V1(K)
9901 c        Vaux(I)=VI
9902 c    1 CONTINUE
9903
9904       vaux1=a1(1,1)*v1(1)+a1(1,2)*v1(2)
9905       vaux2=a1(2,1)*v1(1)+a1(2,2)*v1(2)
9906
9907       v2(1)=vaux1
9908       v2(2)=vaux2
9909       END
9910 C---------------------------------------
9911       SUBROUTINE MATMAT2(A1,A2,A3)
9912 #ifndef OSF
9913 cDEC$ ATTRIBUTES FORCEINLINE::MATMAT2  
9914 #endif
9915       implicit real*8 (a-h,o-z)
9916       include 'DIMENSIONS'
9917       DIMENSION A1(2,2),A2(2,2),A3(2,2)
9918 c      DIMENSION AI3(2,2)
9919 c        DO  J=1,2
9920 c          A3IJ=0.0
9921 c          DO K=1,2
9922 c           A3IJ=A3IJ+A1(I,K)*A2(K,J)
9923 c          enddo
9924 c          A3(I,J)=A3IJ
9925 c       enddo
9926 c      enddo
9927
9928       ai3_11=a1(1,1)*a2(1,1)+a1(1,2)*a2(2,1)
9929       ai3_12=a1(1,1)*a2(1,2)+a1(1,2)*a2(2,2)
9930       ai3_21=a1(2,1)*a2(1,1)+a1(2,2)*a2(2,1)
9931       ai3_22=a1(2,1)*a2(1,2)+a1(2,2)*a2(2,2)
9932
9933       A3(1,1)=AI3_11
9934       A3(2,1)=AI3_21
9935       A3(1,2)=AI3_12
9936       A3(2,2)=AI3_22
9937       END
9938
9939 c-------------------------------------------------------------------------
9940       double precision function scalar2(u,v)
9941 !DIR$ INLINEALWAYS scalar2
9942       implicit none
9943       double precision u(2),v(2)
9944       double precision sc
9945       integer i
9946       scalar2=u(1)*v(1)+u(2)*v(2)
9947       return
9948       end
9949
9950 C-----------------------------------------------------------------------------
9951
9952       subroutine transpose2(a,at)
9953 !DIR$ INLINEALWAYS transpose2
9954 #ifndef OSF
9955 cDEC$ ATTRIBUTES FORCEINLINE::transpose2
9956 #endif
9957       implicit none
9958       double precision a(2,2),at(2,2)
9959       at(1,1)=a(1,1)
9960       at(1,2)=a(2,1)
9961       at(2,1)=a(1,2)
9962       at(2,2)=a(2,2)
9963       return
9964       end
9965 c--------------------------------------------------------------------------
9966       subroutine transpose(n,a,at)
9967       implicit none
9968       integer n,i,j
9969       double precision a(n,n),at(n,n)
9970       do i=1,n
9971         do j=1,n
9972           at(j,i)=a(i,j)
9973         enddo
9974       enddo
9975       return
9976       end
9977 C---------------------------------------------------------------------------
9978       subroutine prodmat3(a1,a2,kk,transp,prod)
9979 !DIR$ INLINEALWAYS prodmat3
9980 #ifndef OSF
9981 cDEC$ ATTRIBUTES FORCEINLINE::prodmat3
9982 #endif
9983       implicit none
9984       integer i,j
9985       double precision a1(2,2),a2(2,2),a2t(2,2),kk(2,2),prod(2,2)
9986       logical transp
9987 crc      double precision auxmat(2,2),prod_(2,2)
9988
9989       if (transp) then
9990 crc        call transpose2(kk(1,1),auxmat(1,1))
9991 crc        call matmat2(a1(1,1),auxmat(1,1),auxmat(1,1))
9992 crc        call matmat2(auxmat(1,1),a2(1,1),prod_(1,1)) 
9993         
9994            prod(1,1)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(1,2))*a2(1,1)
9995      & +(a1(1,1)*kk(2,1)+a1(1,2)*kk(2,2))*a2(2,1)
9996            prod(1,2)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(1,2))*a2(1,2)
9997      & +(a1(1,1)*kk(2,1)+a1(1,2)*kk(2,2))*a2(2,2)
9998            prod(2,1)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(1,2))*a2(1,1)
9999      & +(a1(2,1)*kk(2,1)+a1(2,2)*kk(2,2))*a2(2,1)
10000            prod(2,2)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(1,2))*a2(1,2)
10001      & +(a1(2,1)*kk(2,1)+a1(2,2)*kk(2,2))*a2(2,2)
10002
10003       else
10004 crc        call matmat2(a1(1,1),kk(1,1),auxmat(1,1))
10005 crc        call matmat2(auxmat(1,1),a2(1,1),prod_(1,1))
10006
10007            prod(1,1)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(2,1))*a2(1,1)
10008      &  +(a1(1,1)*kk(1,2)+a1(1,2)*kk(2,2))*a2(2,1)
10009            prod(1,2)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(2,1))*a2(1,2)
10010      &  +(a1(1,1)*kk(1,2)+a1(1,2)*kk(2,2))*a2(2,2)
10011            prod(2,1)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(2,1))*a2(1,1)
10012      &  +(a1(2,1)*kk(1,2)+a1(2,2)*kk(2,2))*a2(2,1)
10013            prod(2,2)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(2,1))*a2(1,2)
10014      &  +(a1(2,1)*kk(1,2)+a1(2,2)*kk(2,2))*a2(2,2)
10015
10016       endif
10017 c      call transpose2(a2(1,1),a2t(1,1))
10018
10019 crc      print *,transp
10020 crc      print *,((prod_(i,j),i=1,2),j=1,2)
10021 crc      print *,((prod(i,j),i=1,2),j=1,2)
10022
10023       return
10024       end
10025